Equações Não-lineares no Excel: Método da Bisseção

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Aula Exemplo 1
	Solução de Equações Não-lineares Pelo Método da Bisseção
	f(x)=Exp(-2x)-ln(x)+1
	k	ak	bk	f(ak)	f(bk)	f(ak)*f(bk)	xk	f(xk)	erro=(bk-ak)/2	X	f(x)
	0	2.0000000000
CLIENTE: CLIENTE:
Entre com o ponto inicial a0	3.0000000000
CLIENTE: CLIENTE:
Entre com o ponto inicial b0!	0.3251684583	-0.0961335365	-0.0312595939	2.5	0.0904472151	5.00E-01	1	1.1353352832
	1	2.5000000000	3.0000000000	0.0904472151	-0.0961335365	-0.0086950107	2.75	-0.0075141402	2.50E-01	1.15	0.9604969013
	2	2.5000000000	2.7500000000	0.0904472151	-0.0075141402	-0.0006796331	2.625	0.0401666224	1.25E-01	1.3	0.8119093137
	3	2.6250000000	2.7500000000	0.0401666224	-0.0075141402	-0.0003018176	2.6875	0.0160195253	6.25E-02	1.45	0.6834596636
	4	2.6875000000	2.7500000000	0.0160195253	-0.0075141402	-0.000120373	2.71875	0.0041781297	3.13E-02	1.6	0.5707585747
	5	2.7187500000	2.7500000000	0.0041781297	-0.0075141402	-0.0000313951	2.734375	-0.0016863911	1.56E-02	1.75	0.4705815955
	6	2.7187500000	2.7343750000	0.0041781297	-0.0016863911	-0.000007046	2.7265625	0.0012412414	7.81E-03	1.9	0.3805168857
	7	2.7265625000	2.7343750000	0.0012412414	-0.0016863911	-0.0000020932	2.73046875	-0.0002237278	3.91E-03	2.05	0.2987328823
	8	2.7265625000	2.7304687500	0.0012412414	-0.0002237278	-0.0000002777	2.728515625	0.000508468	1.95E-03	2.2	0.2238199795
	9	2.7285156250	2.7304687500	0.000508468	-0.0002237278	-0.0000001138	2.7294921875	0.000142298	9.77E-04	2.35	0.1546799489
	2.5	0.0904472151
	2.65	0.0304319539
	2.8	-0.0259215535
	2.95	-0.0790657255
	3.1	-0.1293726809
	3.25	-0.1771515571
	3.4	-0.2226616565
	3.55	-0.2661224986
	3.7	-0.3077215669
	3.85	-0.3476203211
	4	-0.3859588985
Exemplo Amos Guilar
	Solução de Equações Não-lineares Pelo Método da Bisseção
	f(x)=8-4,5(x-sem(x))
	k	ak	bk	f(ak)	f(bk)	f(ak)*f(bk)	xk	f(xk)	erro=(bk-ak)/2	X	f(x)
	0	2.0000000000
CLIENTE: CLIENTE:
Entre com o ponto inicial a0	3.0000000000
CLIENTE: CLIENTE:
Entre com o ponto inicial b0!	3.0918384207	-4.8649599637	-15.0416701311	2.5	-0.5568753515	5.00E-01	0.5	7.9074149237
	1	2.0000000000	2.5000000000	3.0918384207	-0.5568753515	-1.7217686074	2.25	1.376329386	2.50E-01	0.75	7.6923744201
	2	2.2500000000	2.5000000000	1.376329386	-0.5568753515	-0.7664439107	2.375	0.4340826438	1.25E-01	1	7.2866194316
	3	2.3750000000	2.5000000000	0.4340826438	-0.5568753515	-0.2417299249	2.4375	-0.0557086718	6.25E-02	1.25	6.6454307871
	4	2.3750000000	2.4375000000	0.4340826438	-0.0557086718	-0.0241821676	2.40625	0.1906608826	3.13E-02	1.5	5.7387274397
	5	2.4062500000	2.4375000000	0.1906608826	-0.0557086718	-0.0106214645	2.421875	0.0678381922	1.56E-02	1.75	4.5529367609
	6	2.4218750000	2.4375000000	0.0678381922	-0.0557086718	-0.0037791756	2.4296875	0.0061544737	7.81E-03	2	3.0918384207
	7	2.4296875000	2.4375000000	0.0061544737	-0.0557086718	-0.0003428576	2.43359375	-0.0247547723	3.91E-03	2.25	1.376329386
	8	2.4296875000	2.4335937500	0.0061544737	-0.0247547723	-0.0001523526	2.431640625	-0.0092945549	1.95E-03	2.5	-0.5568753515
	9	2.4296875000	2.4316406250	0.0061544737	-0.0092945549	-0.0000572031	2.4306640625	-0.0015686404	9.77E-04	2.75	-2.6575255358
	10	2.4296875000	2.4306640625	0.0061544737	-0.0015686404	-0.0000096542	2.4301757812	0.0022932669	4.88E-04	3	-4.8649599637
	11	2.4301757813	2.4306640625	0.0022932669	-0.0015686404	-0.0000035973	2.4304199219	0.0003624008	2.44E-04	3.25	-7.1118781054
	12	2.4304199219	2.4306640625	0.0003624008	-0.0015686404	-0.0000005685	2.4305419922	-0.0006030979	1.22E-04	3.5	-9.3285245246
	13	2.4304199219	2.4305419922	0.0003624008	-0.0006030979	-0.0000002186	2.430480957	-0.0001203431	6.10E-05	3.75	-11.4470259343
	14	2.4304199219	2.4304809570	0.0003624008	-0.0001203431	-0.0000000436	2.4304504395	0.0001210302	3.05E-05	4	-13.4056112289
	15	2.4304504395	2.4304809570	0.0001210302	-0.0001203431	-0.0000000146	2.4304656982	0.0000003439	1.53E-05	4.25	-15.152452112
	16	2.4304656982	2.4304809570	0.0000003439	-0.0001203431	-0	2.4304733276	-0.0000599995	7.63E-06	4.5	-16.6488855295
	17	2.4304656982	2.4304733276	0.0000003439	-0.0000599995	-0	2.4304695129	-0.0000298278	3.81E-06	4.75	-17.8718175504
	18	2.4304656982	2.4304695129	0.0000003439	-0.0000298278	-0	2.4304676056	-0.0000147419	1.91E-06	5	-18.815159236
	19	2.4304656982	2.4304676056	0.0000003439	-0.0000147419	-0	2.4304666519	-0.000007199	9.54E-07	5.25	-19.4902052204
	20	2.4304656982	2.4304666519	0.0000003439	-0.000007199	-0	2.4304661751	-0.0000034275	4.77E-07
	21	2.4304656982	2.4304661751	0.0000003439	-0.0000034275	-0	2.4304659367	-0.0000015418	2.38E-07
Plan2
Plan3
Aula Exemplo 2
	Solução de Equações Não-lineares Pelo Método da Bisseção
	f(x)=Sem(x)*Exp(-x)-ln(x)
	k	ak	bk	f(ak)	f(bk)	f(ak)*f(bk)	xk	f(xk)	erro=(bk-ak)/2	X	f(x)
	0	1.0000000000
CLIENTE: CLIENTE:
Entre com o ponto inicial a0	2.0000000000
CLIENTE: CLIENTE:
Entre com o ponto inicial b0!	0.3095598757	-0.5700871558	-0.176476109	1.5	-0.182893892	5.00E-01	1	0.3095598757
	1	1.0000000000	1.5000000000	0.3095598757	-0.182893892	-0.0566166105	1.25	0.0487450943	2.50E-01	1.15	0.1492526829
	2	1.2500000000	1.5000000000	0.0487450943	-0.182893892	-0.00891518	1.375	-0.0704451271	1.25E-01	1.3	0.0002359755
	3	1.2500000000	1.3750000000	0.0487450943	-0.0704451271	-0.0034338544	1.3125	-0.0117158779	6.25E-02	1.45	-0.1387025841
	4	1.2500000000	1.3125000000	0.0487450943	-0.0117158779	-0.0005710916	1.28125	0.0182945471	3.13E-02	1.6	-0.2681931993
	5	1.2812500000	1.3125000000	0.0182945471	-0.0117158779	-0.0002143367	1.296875	0.0032348074	1.56E-02	1.75	-0.3886246696
	6	1.2968750000	1.3125000000	0.0032348074	-0.0117158779	-0.0000378986	1.3046875	-0.0042541097	7.81E-03	1.9	-0.5003170887
	7	1.2968750000	1.3046875000	0.0032348074	-0.0042541097	-0.0000137612	1.30078125	-0.0005130518	3.91E-03	2.05	-0.6036052842
	8	1.2968750000	1.3007812500	0.0032348074	-0.0005130518	-0.0000016596	1.298828125	0.0013600268	1.95E-03	2.2	-0.6988734053
	9	1.2988281250	1.3007812500	0.0013600268	-0.0005130518	-0.0000006978	1.2998046875	0.0004232748	9.77E-04	2.35	-0.7865627106
	10	1.2998046875	1.3007812500	0.0004232748	-0.0005130518	-0.0000002172	1.3002929688	-0.0000449416	4.88E-04	2.5	-0.8671651467
	11	1.2998046875	1.3002929688	0.0004232748	-0.0000449416	-0.000000019	1.3000488281	0.0001891533	2.44E-04	2.65	-0.9412101097
	12	1.3000488281	1.3002929688	0.0001891533	-0.0000449416	-0.0000000085	1.3001708984	0.0000721025	1.22E-04	2.8	-1.0092487668
	13	1.3001708984	1.3002929688	0.0000721025	-0.0000449416	-0.0000000032	1.3002319336	0.0000135796	6.10E-05	2.95	-1.071838505
	14	1.3002319336	1.3002929688	0.0000135796	-0.0000449416	-0.0000000006	1.3002624512	-0.0000156812	3.05E-05	3.1	-1.1295289358
	15	1.3002319336	1.3002624512	0.0000135796	-0.0000156812	-0.0000000002	1.3002471924	-0.0000010508	1.53E-05	3.25	-1.182850177
	16	1.3002319336	1.3002471924	0.0000135796	-0.0000010508	-0	1.300239563	0.0000062644	7.63E-06	3.4	-1.2323036738
	17	1.3002395630	1.3002471924	0.0000062644	-0.0000010508	-0	1.3002433777	0.0000026068	3.81E-06	3.55	-1.2783555415
	18	1.3002433777	1.3002471924	0.0000026068	-0.0000010508	-0	1.300245285	0.000000778	1.91E-06	3.7	-1.3214322375
	19	1.3002452850	1.3002471924	0.000000778	-0.0000010508	-0	1.3002462387	-0.0000001364	9.54E-07	3.85	-1.3619182797
	20	1.3002452850	1.3002462387	0.000000778	-0.0000001364	-0	1.3002457619	0.0000003208	4.77E-07	4	-1.4001556823
	21	1.3002457619	1.3002462387	0.0000003208	-0.0000001364	-0	1.3002460003	0.0000000922	2.38E-07	4.15	-1.4364447736
	22	1.3002460003	1.3002462387	0.0000000922	-0.0000001364	-0	1.3002461195	-0.0000000221	1.19E-07	4.3	-1.4710460743
	23	1.3002460003	1.3002461195	0.0000000922	-0.0000000221	-0	1.3002460599	0.000000035	5.96E-08	4.45	-1.5041829415
	24	1.3002460599	1.3002461195	0.000000035	-0.0000000221	-0	1.3002460897	0.0000000064	2.98E-08	4.6	-1.5360447222
	25	1.3002460897	1.3002461195	0.0000000064	-0.0000000221	-0	1.3002461046	-0.0000000079	1.49E-08	4.75	-1.5667901947
	26	1.3002460897	1.3002461046	0.0000000064	-0.0000000079	-0	1.3002460971	-0.0000000007
7.45E-09	4.9	-1.5965511201
	27	1.3002460897	1.3002460971	0.0000000064	-0.0000000007	-0	1.3002460934	0.0000000029	3.73E-09	5.05	-1.6254357613
	28	1.3002460934	1.3002460971	0.0000000029	-0.0000000007	-0	1.3002460953	0.0000000011	1.86E-09	5.2	-1.6535322601
	29	1.3002460953	1.3002460971	0.0000000011	-0.0000000007	-0	1.3002460962	0.0000000002	9.31E-10	5.35	-1.6809117959
	30	1.3002460962	1.3002460971	0.0000000002	-0.0000000007	-0	1.3002460967	-0.0000000003	4.66E-10	5.5	-1.7076314743
	31	1.3002460962	1.3002460967	0.0000000002	-0.0000000003	-0	1.3002460964	-0	2.33E-10	5.65	-1.7337369146
	32	1.3002460962	1.3002460964	0.0000000002	-0	-0	1.3002460963	0.0000000001	1.16E-10	5.8	-1.7592645261
	33	1.3002460963	1.3002460964	0.0000000001	-0	-0	1.3002460964	0	5.82E-11	5.95	-1.7842434722
	34	1.3002460964	1.3002460964	0	-0	-0	1.3002460964	-0	2.91E-11	6.1	-1.8086973376
	35	1.3002460964	1.3002460964	0	-0	-0	1.3002460964	0	1.46E-11	6.25	-1.8326455147
	36	1.3002460964	1.3002460964	0	-0	-0	1.3002460964	-0	7.28E-12	6.4	-1.8561043372
	37	1.3002460964	1.3002460964	0	-0	-0	1.3002460964	-0	3.64E-12	6.55	-1.8790879851
	38	1.3002460964	1.3002460964	0	-0	-0	1.3002460964	-0	1.82E-12	6.7	-1.9016091918
	39	1.3002460964	1.3002460964	0	-0	-0	1.3002460964	0	9.09E-13	6.85	-1.9236797801
	40	1.3002460964	1.3002460964	0	-0	-0	1.3002460964	-0	4.55E-13	7	-1.9453110548
	41	1.3002460964	1.3002460964	0	-0	-0	1.3002460964	0	2.27E-13	7.15	-1.9665140775
	42	1.3002460964	1.3002460964	0	-0	-0	1.3002460964	0	1.14E-13	7.3	-1.9872998452
	43	1.3002460964	1.3002460964	0	-0	-0	1.3002460964	-0	5.68E-14	7.45	-2.007679395
	44	1.3002460964	1.3002460964	0	-0	-0	1.3002460964	0	2.84E-14	7.6	-2.0276638505
	45	1.3002460964	1.3002460964	0	-0	-0	1.3002460964	-0	1.42E-14	7.75	-2.0472644274
	46	1.3002460964	1.3002460964	0	-0	-0	1.3002460964	-0	7.11E-15	7.9	-2.0664924084
	47	1.3002460964	1.3002460964	0	-0	-0	1.3002460964	0	3.55E-15	8.05	-2.0853591004
	48	1.3002460964	1.3002460964	0	-0	-0	1.3002460964	0	1.78E-15	8.2	-2.1038757793
	49	1.3002460964	1.3002460964	0	-0	-0	1.3002460964	0	8.88E-16	8.35	-2.1220536318
	50	1.3002460964	1.30024609641	0	0	0	1.3002460964	0	0.00E+00	8.5	-2.1399036966
	51	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	8.65	-2.1574368097
	52	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	8.8	-2.1746635551
	53	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	8.95	-2.1915942241
	54	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	9.1	-2.2082387811
	55	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	9.25	-2.2246068387
	56	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	9.4	-2.2407076398
	57	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	9.55	-2.2565500472
	58	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	9.7	-2.27214254
	59	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	9.85	-2.2874932146
	60	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	10	-2.3026097915
	61	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	10.15	-2.3174996247
	62	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	10.3	-2.3321697149
	63	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	10.45	-2.3466267242
	64	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	10.6	-2.360876993
	65	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	10.75	-2.3749265566
	66	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	10.9	-2.3887811632
	67	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	11.05	-2.4024462916
	68	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	11.2	-2.4159271678
	69	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	11.35	-2.4292287819
	70	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	11.5	-2.4423559038
	71	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	11.65	-2.4553130977
	72	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	11.8	-2.4681047361
	73	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	11.95	-2.4807350123
	74	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	12.1	-2.4932079524
	75	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	12.25	-2.5055274257
	76	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	12.4	-2.5176971547
	77	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	12.55	-2.5297207236
	78	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	12.7	-2.541601587
	79	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	12.85	-2.5533430764
	80	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	13	-2.5649484077
	81	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	13.15	-2.5764206866
	82	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	13.3	-2.587762914
	83	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	13.45	-2.5989779919
	84	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	13.6	-2.610068727
	85	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	13.75	-2.6210378354
	86	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	13.9	-2.6318879469
	87	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	14.05	-2.6426216078
	88	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	14.2	-2.6532412852
	89	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	14.35	-2.6637493695
	90	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	14.5	-2.6741481779
	91	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	14.65	-2.6844399572
	92	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	14.8	-2.6946268863
	93	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	14.95	-2.7047110788
	94	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	15.1	-2.7146945857
	95	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	15.25	-2.7245793977
	96	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	15.4	-2.7343674473
	97	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	15.55	-2.7440606109
	98	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	15.7	-2.7536607111
	99	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	15.85	-2.7631695188
	100	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	16	-2.7725887546
	101	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	16.15	-2.7819200911
	102	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	16.3	-2.7911651543
	103	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	16.45	-2.8003255257
	104	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	16.6	-2.8094027434
	105	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	16.75	-2.8183983042
	106	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	16.9	-2.8273136644
	107	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	17.05	-2.8361502421
	108	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	17.2	-2.8449094176
	109	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	17.35	-2.8535925355
	110	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	17.5	-2.8622009054
	111	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	17.65	-2.8707358035
	112	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	17.8	-2.8791984734
	113	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	17.95	-2.8875901275
	114	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	18.1	-2.8959119477
	115	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	18.25	-2.9041650867
	116	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	18.4	-2.9123506691
	117	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	18.55	-2.9204697916
	118	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	18.7	-2.928523525
	119	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	18.85	-2.9365129139
	120	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	19	-2.9444389783
	121	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	19.15	-2.9523027142
	122	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	19.3	-2.9601050941
	123	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	19.45	-2.967847068
124	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	19.6	-2.9755295641
	125	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	19.75	-2.9831534893
	126	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	19.9	-2.9907197298
	127	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	20.05	-2.9982291519
	128	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	20.2	-3.0056826028
	129	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	20.35	-3.0130809104
	130	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	20.5	-3.0204248849
	131	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	20.65	-3.0277153184
	132	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	20.8	-3.0349529858
	133	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	20.95	-3.0421386457
	134	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	21.1	-3.0492730399
	135	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	21.25	-3.056356895
	136	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	21.4	-3.0633909217
	137	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	21.55	-3.0703758164
	138	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	21.7	-3.0773122604
	139	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	21.85	-3.0842009215
	140	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	22	-3.0910424534
	141	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	22.15	-3.0978374965
	142	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	22.3	-3.1045866785
	143	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	22.45	-3.1112906143
	144	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	22.6	-3.1179499064
	145	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	22.75	-3.1245651455
	146	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	22.9	-3.1311369106
	147	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	23.05	-3.1376657695
	148	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	23.2	-3.1441522788
	149	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	23.35	-3.1505969842
	150	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	23.5	-3.1570004212
	151	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	23.65	-3.163363115
	152	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	23.8	-3.1696855807
	153	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	23.95	-3.1759683239
	154	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	24.1	-3.1822118405
	155	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	24.25	-3.1884166174
	156	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	24.4	-3.1945831323
	157	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	24.55	-3.2007118543
	158	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	24.7	-3.2068032436
	159	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	24.85	-3.2128577525
	160	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	25	-3.2188758249
	161	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	25.15	-3.2248578965
	162	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	25.3	-3.2308043957
	163	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	25.45	-3.236715743
	164	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	25.6	-3.2425923515
	165	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	25.75	-3.2484346271
	166	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	25.9	-3.2542429687
	167	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	26.05	-3.2600177682
	168	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	26.2	-3.2657594108
	169	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	26.35	-3.271468275
	170	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	26.5	-3.277144733
	171	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	26.65	-3.2827891506
	172	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	26.8	-3.2884018875
	173	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	26.95	-3.2939832974
	174	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	27.1	-3.2995337279
	175	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	27.25	-3.3050535211
	176	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	27.4	-3.3105430134
	177	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	27.55	-3.3160025356
	178	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	27.7	-3.3214324132
	179	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	27.85	-3.3268329664
	180	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	28	-3.3322045102
	181	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	28.15	-3.3375473546
	182	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	28.3	-3.3428618046
	183	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	28.45	-3.3481481606
	184	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	28.6	-3.3534067178
	185	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	28.75	-3.3586377672
	186	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	28.9	-3.3638415951
	187	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	29.05	-3.3690184833
	188	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	29.2	-3.3741687093
	189	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	29.35	-3.3792925463
	190	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	29.5	-3.3843902633
	191	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	29.65	-3.3894621254
	192	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	29.8	-3.3945083935
	193	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	29.95	-3.3995293246
	194	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	30.1	-3.4045251718
	195	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	30.25	-3.4094961845
	196	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	30.4	-3.4144426084
	197	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	30.55	-3.4193646856
	198	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	30.7	-3.4242626546
	199	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	30.85	-3.4291367504
	200	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	31	-3.4339872045
	201	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	31.15	-3.4388142452
	202	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	31.3	-3.4436180975
	203	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	31.45	-3.4483989831
	204	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	31.6	-3.4531571206
	205	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	31.75	-3.4578927253
	206	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	31.9	-3.4626060098
	207	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	32.05	-3.4672971834
	208	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	32.2	-3.4719664526
	209	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	32.35	-3.4766140209
	210	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	32.5	-3.4812400893
	211	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	32.65	-3.4858448557
	212	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	32.8	-3.4904285154
	213	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	32.95	-3.4949912609
	214	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	33.1	-3.4995332824
	215	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	33.25	-3.5040547671
	216	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	33.4	-3.5085559
	217	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	33.55	-3.5130368634
	218	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	33.7	-3.5174978374
	219	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	33.85	-3.5219389994
	220	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	34	-3.5263605246
	221	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	34.15	-3.530762586
	222	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	34.3	-3.5351453542
223	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	34.45	-3.5395089975
	224	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	34.6	-3.5438536821
	225	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	34.75	-3.548179572
	226	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	34.9	-3.5524868292
	227	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	35.05	-3.5567756135
	228	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	35.2	-3.5610460826
	229	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	35.35	-3.5652983923
	230	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	35.5	-3.5695326965
	231	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	35.65	-3.5737491469
	232	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	35.8	-3.5779478934
	233	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	35.95	-3.5821290842
	234	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	36.1	-3.5862928653
	235	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	36.25	-3.5904393813
	236	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	36.4	-3.5945687746
	237	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	36.55	-3.5986811862
	238	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	36.7	-3.6027767551
	239	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	36.85	-3.6068556186
	240	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	37	-3.6109179126
	241	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	37.15	-3.6149637712
	242	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	37.3	-3.6189933266
	243	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	37.45	-3.62300671
	244	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	37.6	-3.6270040504
	245	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	37.75	-3.6309854757
	246	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	37.9	-3.6349511121
	247	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	38.05	-3.6389010843
	248	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	38.2	-3.6428355156
	249	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	38.35	-3.6467545278
	250	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	38.5	-3.6506582413
	251	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	38.65	-3.654546775
	252	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	38.8	-3.6584202466
	253	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	38.95	-3.6622787723
	254	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	39.1	-3.666122467
	255	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	39.25	-3.6699514442
	256	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	39.4	-3.6737658163
	257	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	39.55	-3.6775656942
	258	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	39.7	-3.6813511877
	259	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	39.85	-3.6851224052
	260	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	40	-3.6888794541
	261	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	40.15	-3.6926224404
	262	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	40.3	-3.696351469
	263	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	40.45	-3.7000666435
	264	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	40.6	-3.7037680666
	265	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	40.75	-3.7074558397
	266	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	40.9	-3.711130063
	267	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	41.05	-3.7147908359
	268	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	41.2	-3.7184382564
	269	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	41.35	-3.7220724215
	270	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	41.5	-3.7256934272
	271	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	41.65	-3.7293013686
	272	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	41.8	-3.7328963395
	273	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	41.95	-3.7364784329
	274	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	42.1	-3.7400477407
	275	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	42.25	-3.7436043538
	276	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	42.4	-3.7471483622
	277	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	42.55	-3.750679855
	278	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	42.7	-3.7541989202
	279	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	42.85	-3.757705645
	280	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	43	-3.7612001157
	281	1.3002460964	1.3002460964	0	0	0	1.3002460964	0	0.00E+00	43.15	-3.7646824175