Table II
The normal distribution

t	f (t)	F (t)	t	f (t)	F (t)
0.0	0.39894	0.50000	2.00	0.05399	0.97725
0.01	0.39892	0.50399	2.01	0.05292	0.97778
0.02	0.39886	0.50798	2.02	0.05186	0.97831
0.03	0.39876	0.51197	2.03	0.05082	0.97882
0.04	0.39862	0.51595	2.04	0.04980	0.97932
0.05	0.39844	0.51994	2.05	0.04879	0.97982
0.06	0.39822	0.52392	2.06	0.04780	0.98030
0.07	0.39797	0.52790	2.07	0.04682	0.98077
0.08	0.39767	0.53188	2.08	0.04586	0.98124
0.09	0.39733	0.53586	2.09	0.04491	0.98169
0.10	0.39695	0.53983	2.10	0.04398	0.98214
0.11	0.39654	0.54380	2.11	0.04307	0.98257
0.12	0.39608	0.54776	2.12	0.04217	0.98300
0.13	0.39559	0.55172	2.13	0.04128	0.98341
0.14	0.39505	0.55567	2.14	0.04041	0.98382
0.15	0.39448	0.55962	2.15	0.03955	0.98422
0.16	0.39387	0.56356	2.16	0.03871	0.98461
0.17	0.39322	0.56749	2.17	0.03788	0.98500
0.18	0.39253	0.57142	2.18	0.03706	0.98537
0.19	0.39181	0.57535	2.19	0.03626	0.98574
0.20	0.39104	0.57926	2.20	0.03547	0.98610
0.21	0.39024	0.58317	2.21	0.03470	0.98645
0.22	0.38940	0.58706	2.22	0.03394	0.98679
0.23	0.38853	0.59095	2.23	0.03319	0.98713
0.24	0.38762	0.59483	2.24	0.03246	0.98745
0.25	0.38667	0.59871	2.25	0.03174	0.98778
0.26	0.38568	0.60257	2.26	0.03103	0.98809
0.27	0.38466	0.60642	2.27	0.03034	0.98840
0.28	0.38361	0.61026	2.28	0.02965	0.98870
0.29	0.38251	0.61409	2.29	0.02898	0.98899
0.30	0.38139	0.61791	2.30	0.02833	0.98928
0.31	0.38023	0.62172	2.31	0.02768	0.98956
0.32	0.37903	0.62552	2.32	0.02705	0.98983
0.33	0.37780	0.62930	2.33	0.02643	0.99010
0.34	0.37654	0.63307	2.34	0.02582	0.99036
0.35	0.37524	0.63683	2.35	0.02522	0.99061
0.36	0.37391	0.64058	2.36	0.02463	0.99086
0.37	0.37255	0.64431	2.37	0.02406	0.99111
0.38	0.37115	0.64803	2.38	0.02349	0.99134
0.39	0.36973	0.65173	2.39	0.02294	0.99158
0.40	0.36827	0.65542	2.40	0.02239	0.99180
0.41	0.36678	0.65910	2.41	0.02186	0.99202
0.42	0.36526	0.66276	2.42	0.02134	0.99224
0.43	0.36371	0.66640	2.43	0.02083	0.99245
0.44	0.36213	0.67003	2.44	0.02033	0.99266
0.45	0.36053	0.67364	2.45	0.01984	0.99286
0.46	0.35889	0.67724	2.46	0.01936	0.99305
0.47	0.35723	0.68082	2.47	0.01888	0.99324
0.48	0.35553	0.68439	2.48	0.01842	0.99343
0.49	0.35381	0.68793	2.49	0.01797	0.99361
0.50	0.35207	0.69146	2.50	0.01753	0.99379
0.51	0.35029	0.69497	2.51	0.01709	0.99396
0.52	0.34849	0.69847	2.52	0.01667	0.99413
0.53	0.34667	0.70194	2.53	0.01625	0.99430
0.54	0.34482	0.70540	2.54	0.01585	0.99446
0.55	0.34294	0.70884	2.55	0.01545	0.99461
0.56	0.34105	0.71226	2.56	0.01506	0.99477
0.57	0.33912	0.71566	2.57	0.01468	0.99491
0.58	0.33718	0.71904	2.58	0.01431	0.99506
0.59	0.33521	0.72240	2.59	0.01394	0.99520
0.60	0.33322	0.72575	2.60	0.01358	0.99534
0.61	0.33121	0.72907	2.61	0.01323	0.99547
0.62	0.32918	0.73237	2.62	0.01289	0.99560
0.63	0.32713	0.73565	2.63	0.01256	0.99573
0.64	0.32506	0.73891	2.64	0.01223	0.99585
0.65	0.32297	0.74215	2.65	0.01191	0.99598
0.66	0.32086	0.74537	2.66	0.01160	0.99609
0.67	0.31874	0.74857	2.67	0.01130	0.99621
0.68	0.31659	0.75175	2.68	0.01100	0.99632
0.69	0.31443	0.75490	2.69	0.01071	0.99643
0.70	0.31225	0.75804	2.70	0.01042	0.99653
0.71	0.31006	0.76115	2.71	0.01014	0.99664
0.72	0.30785	0.76424	2.72	0.00987	0.99674
0.73	0.30563	0.76730	2.73	0.00961	0.99683
0.74	0.30339	0.77035	2.74	0.00935	0.99693
0.75	0.30114	0.77337	2.75	0.00909	0.99702
0.76	0.29887	0.77637	2.76	0.00885	0.99711
0.77	0.29659	0.77935	2.77	0.00861	0.99720
0.78	0.29431	0.78230	2.78	0.00837	0.99728
0.79	0.29200	0.78524	2.79	0.00814	0.99736
0.80	0.28969	0.78814	2.80	0.00792	0.99744
0.81	0.28737	0.79103	2.81	0.00770	0.99752
0.82	0.28504	0.79389	2.82	0.00748	0.99760
0.83	0.28269	0.79673	2.83	0.00727	0.99767
0.84	0.28034	0.79955	2.84	0.00707	0.99774
0.85	0.27798	0.80234	2.85	0.00687	0.99781
0.86	0.27562	0.80511	2.86	0.00668	0.99788
0.87	0.27324	0.80785	2.87	0.00649	0.99795
0.88	0.27086	0.81057	2.88	0.00631	0.99801
0.89	0.26848	0.81327	2.89	0.00613	0.99807
0.90	0.26609	0.81594	2.90	0.00595	0.99813
0.91	0.26369	0.81859	2.91	0.00578	0.99819
0.92	0.26129	0.82121	2.92	0.00562	0.99825
0.93	0.25888	0.82381	2.93	0.00545	0.99830
0.94	0.25647	0.82639	2.94	0.00530	0.99836
0.95	0.25406	0.82894	2.95	0.00514	0.99841
0.96	0.25164	0.83147	2.96	0.00499	0.99846
0.97	0.24923	0.83398	2.97	0.00485	0.99851
0.98	0.24681	0.83646	2.98	0.00470	0.99856
0.99	0.24439	0.83891	2.99	0.00457	0.99860
1.00	0.24197	0.84134	3.00	0.00443	0.99865
1.01	0.23955	0.84375	3.01	0.00430	0.99869
1.02	0.23713	0.84614	3.02	0.00417	0.99874
1.03	0.23471	0.84849	3.03	0.00405	0.99878
1.04	0.23230	0.85083	3.04	0.00393	0.99882
1.05	0.22988	0.85314	3.05	0.00381	0.99886
1.06	0.22747	0.85543	3.06	0.00370	0.99889
1.07	0.22506	0.85769	3.07	0.00358	0.99893
1.08	0.22265	0.85993	3.08	0.00348	0.99896
1.09	0.22025	0.86214	3.09	0.00337	0.99900
1.10	0.21785	0.86433	3.10	0.00327	0.99903
1.11	0.21546	0.86650	3.11	0.00317	0.99906
1.12	0.21307	0.86864	3.12	0.00307	0.99910
1.13	0.21069	0.87076	3.13	0.00298	0.99913
1.14	0.20831	0.87286	3.14	0.00288	0.99916
1.15	0.20594	0.87493	3.15	0.00279	0.99918
1.16	0.20357	0.87698	3.16	0.00271	0.99921
1.17	0.20121	0.87900	3.17	0.00262	0.99924
1.18	0.19886	0.88100	3.18	0.00254	0.99926
1.19	0.19652	0.88298	3.19	0.00246	0.99929
1.20	0.19419	0.88493	3.20	0.00238	0.99931
1.21	0.19186	0.88686	3.21	0.00231	0.99934
1.22	0.18954	0.88877	3.22	0.00224	0.99936
1.23	0.18724	0.89065	3.23	0.00216	0.99938
1.24	0.18494	0.89251	3.24	0.00210	0.99940
1.25	0.18265	0.89435	3.25	0.00203	0.99942
1.26	0.18037	0.89617	3.26	0.00196	0.99944
1.27	0.17810	0.89796	3.27	0.00190	0.99946
1.28	0.17585	0.89973	3.28	0.00184	0.99948
1.29	0.17360	0.90147	3.29	0.00178	0.99950
1.30	0.17137	0.90320	3.30	0.00172	0.99952
1.31	0.16915	0.90490	3.31	0.00167	0.99953
1.32	0.16694	0.90658	3.32	0.00161	0.99955
1.33	0.16474	0.90824	3.33	0.00156	0.99957
1.34	0.16256	0.90988	3.34	0.00151	0.99958
1.35	0.16038	0.91149	3.35	0.00146	0.99960
1.36	0.15822	0.91308	3.36	0.00141	0.99961
1.37	0.15608	0.91466	3.37	0.00136	0.99962
1.38	0.15395	0.91621	3.38	0.00132	0.99964
1.39	0.15183	0.91774	3.39	0.00127	0.99965
1.40	0.14973	0.91924	3.40	0.00123	0.99966
1.41	0.14764	0.92073	3.41	0.00119	0.99967
1.42	0.14556	0.92220	3.42	0.00115	0.99969
1.43	0.14350	0.92364	3.43	0.00111	0.99970
1.44	0.14146	0.92507	3.44	0.00107	0.99971
1.45	0.13943	0.92647	3.45	0.00104	0.99972
1.46	0.13742	0.92785	3.46	0.00100	0.99973
1.47	0.13542	0.92922	3.47	0.00097	0.99974
1.48	0.13344	0.93056	3.48	0.00094	0.99975
1.49	0.13147	0.93189	3.49	0.00090	0.99976
1.50	0.12952	0.93319	3.50	0.00087	0.99977
1.51	0.12758	0.93448	3.51	0.00084	0.99978
1.52	0.12566	0.93574	3.52	0.00081	0.99978
1.53	0.12376	0.93699	3.53	0.00079	0.99979
1.54	0.12188	0.93822	3.54	0.00076	0.99980
1.55	0.12001	0.93943	3.55	0.00073	0.99981
1.56	0.11816	0.94062	3.56	0.00071	0.99981
1.57	0.11632	0.94179	3.57	0.00068	0.99982
1.58	0.11450	0.94295	3.58	0.00066	0.99983
1.59	0.11270	0.94408	3.59	0.00063	0.99983
1.60	0.11092	0.94520	3.60	0.00061	0.99984
1.61	0.10915	0.94630	3.61	0.00059	0.99985
1.62	0.10741	0.94738	3.62	0.00057	0.99985
1.63	0.10567	0.94845	3.63	0.00055	0.99986
1.64	0.10396	0.94950	3.64	0.00053	0.99986
1.65	0.10226	0.95053	3.65	0.00051	0.99987
1.66	0.10059	0.95154	3.66	0.00049	0.99987
1.67	0.09893	0.95254	3.67	0.00047	0.99988
1.68	0.09728	0.95352	3.68	0.00046	0.99988
1.69	0.09566	0.95449	3.69	0.00044	0.99989
1.70	0.09405	0.95543	3.70	0.00042	0.99989
1.71	0.09246	0.95637	3.71	0.00041	0.99990
1.72	0.09089	0.95728	3.72	0.00039	0.99990
1.73	0.08933	0.95818	3.73	0.00038	0.99990
1.74	0.08780	0.95907	3.74	0.00037	0.99991
1.75	0.08628	0.95994	3.75	0.00035	0.99991
1.76	0.08478	0.96080	3.76	0.00034	0.99991
1.77	0.08329	0.96164	3.77	0.00033	0.99992
1.78	0.08183	0.96246	3.78	0.00031	0.99992
1.79	0.08038	0.96327	3.79	0.00030	0.99992
1.80	0.07895	0.96407	3.80	0.00029	0.99993
1.81	0.07754	0.96485	3.81	0.00028	0.99993
1.82	0.07614	0.96562	3.82	0.00027	0.99993
1.83	0.07477	0.96637	3.83	0.00026	0.99994
1.84	0.07341	0.96712	3.84	0.00025	0.99994
1.85	0.07206	0.96784	3.85	0.00024	0.99994
1.86	0.07074	0.96856	3.86	0.00023	0.99994
1.87	0.06943	0.96926	3.87	0.00022	0.99995
1.88	0.06814	0.96995	3.88	0.00021	0.99995
1.89	0.06687	0.97062	3.89	0.00021	0.99995
1.90	0.06562	0.97128	3.90	0.00020	0.99995
1.91	0.06438	0.97193	3.91	0.00019	0.99995
1.92	0.06316	0.97257	3.92	0.00018	0.99996
1.93	0.06195	0.97320	3.93	0.00018	0.99996
1.94	0.06077	0.97381	3.94	0.00017	0.99996
1.95	0.05959	0.97441	3.95	0.00016	0.99996
1.96	0.05844	0.97500	3.96	0.00016	0.99996
1.97	0.05730	0.97558	3.97	0.00015	0.99996
1.98	0.05618	0.97615	3.98	0.00014	0.99997
1.99	0.05508	0.97670	3.99	0.00014	0.99997

The numbers in this table were generated using the following FORTRAN code:

      program gauss
C*********************************************
C David T. Frayer, 1999
C Calculates Normal function
c234567
      implicit real*8(a-h,m-z)
      num1=0.398942280402
      open(unit=12, file='out.dat',status='unknown')
      sum=0.0
      dsum=0.0
      dt=0.000001
      t=0.0
      endt=4.0
      start=dt
      i=1   
      do t=start,endt,dt
         ft=num1*dexp(-1.*t**2./2.)
         dsum=ft*dt
         sum=sum+dsum
         if (mod(i,10000) .eq. 0.) then
            write(12,100) t,ft,sum+0.5
         endif
         i=i+1
      enddo  
 100  format(3x,f5.2,2x,f7.5,2x,f7.5)
      close(12)
      stop
      end