The Euler Method for approximation of 1st order ODEs
y'=f(t,y) Solution of equation y'=t-3y from t=0 to t=1, with initial condition y(0)=1, step size h=.001
f(t,y): t -3y initial time t_0: 0 initial value y_0: 1
solution y(t): (2/3)e^(-3t)-t/3+1/3
timestep h: 0.001 recursion: y_{n+1}=y_n+h*f(t_n,y_n) t_{n+1}=t_n+h
n t_n y_n y(t_n) f(t_n,y_n) y(t_n) y_n-y(t_n)
0 0 1 1 -3 1 0
1 0.001 0.997 0.99767 -2.99 0.99767 -0.00067
2 0.002 0.99401 0.995345 -2.98003 0.995345 -0.00134
3 0.003 0.99103 0.993027 -2.97009 0.993027 -0.002
4 0.004 0.98806 0.990714 -2.96018 0.990714 -0.00265
5 0.005 0.9851 0.988408 -2.950299 0.988408 -0.00331
6 0.006 0.982149 0.986107 -2.940448 0.986107 -0.00396
7 0.007 0.979209 0.983813 -2.930627 0.983813 -0.0046
8 0.008 0.976278 0.981524 -2.920835 0.981524 -0.00525
9 0.009 0.973357 0.979241 -2.911072 0.979241 -0.00588
10 0.01 0.970446 0.976964 -2.901339 0.976964 -0.00652
11 0.011 0.967545 0.974692 -2.891635 0.974692 -0.00715
12 0.012 0.964653 0.972427 -2.88196 0.972427 -0.00777
13 0.013 0.961771 0.970167 -2.872314 0.970167 -0.0084
14 0.014 0.958899 0.967913 -2.862698 0.967913 -0.00901
15 0.015 0.956036 0.965665 -2.853109 0.965665 -0.00963
16 0.016 0.953183 0.963423 -2.84355 0.963423 -0.01024
17 0.017 0.95034 0.961186 -2.834019 0.961186 -0.01085
18 0.018 0.947506 0.958955 -2.824517 0.958955 -0.01145
19 0.019 0.944681 0.956729 -2.815044 0.956729 -0.01205
20 0.02 0.941866 0.95451 -2.805599 0.95451 -0.01264
21 0.021 0.939061 0.952296 -2.796182 0.952296 -0.01324
22 0.022 0.936264 0.950087 -2.786793 0.950087 -0.01382
23 0.023 0.933478 0.947884 -2.777433 0.947884 -0.01441
24 0.024 0.9307 0.945687 -2.768101 0.945687 -0.01499
25 0.025 0.927932 0.943496 -2.758796 0.943496 -0.01556
26 0.026 0.925173 0.94131 -2.74952 0.94131 -0.01614
27 0.027 0.922424 0.939129 -2.740271 0.939129 -0.01671
28 0.028 0.919684 0.936954 -2.731051 0.936954 -0.01727
29 0.029 0.916952 0.934785 -2.721857 0.934785 -0.01783
30 0.03 0.914231 0.932621 -2.712692 0.932621 -0.01839
31 0.031 0.911518 0.930462 -2.703554 0.930462 -0.01894
32 0.032 0.908814 0.928309 -2.694443 0.928309 -0.01949
33 0.033 0.90612 0.926162 -2.68536 0.926162 -0.02004
34 0.034 0.903435 0.92402 -2.676304 0.92402 -0.02059
35 0.035 0.900758 0.921883 -2.667275 0.921883 -0.02112
36 0.036 0.898091 0.919752 -2.658273 0.919752 -0.02166
37 0.037 0.895433 0.917626 -2.649298 0.917626 -0.02219
38 0.038 0.892783 0.915505 -2.64035 0.915505 -0.02272
39 0.039 0.890143 0.91339 -2.631429 0.91339 -0.02325
40 0.04 0.887512 0.91128 -2.622535 0.91128 -0.02377
41 0.041 0.884889 0.909176 -2.613667 0.909176 -0.02429
42 0.042 0.882275 0.907077 -2.604826 0.907077 -0.0248
43 0.043 0.879671 0.904983 -2.596012 0.904983 -0.02531
44 0.044 0.877075 0.902894 -2.587224 0.902894 -0.02582
45 0.045 0.874487 0.900811 -2.578462 0.900811 -0.02632
46 0.046 0.871909 0.898732 -2.569727 0.898732 -0.02682
47 0.047 0.869339 0.89666 -2.561018 0.89666 -0.02732
48 0.048 0.866778 0.894592 -2.552335 0.894592 -0.02781
49 0.049 0.864226 0.892529 -2.543678 0.892529 -0.0283
50 0.05 0.861682 0.890472 -2.535047 0.890472 -0.02879
51 0.051 0.859147 0.88842 -2.526441 0.88842 -0.02927
52 0.052 0.856621 0.886373 -2.517862 0.886373 -0.02975
53 0.053 0.854103 0.884331 -2.509308 0.884331 -0.03023
54 0.054 0.851594 0.882294 -2.500781 0.882294 -0.0307
55 0.055 0.849093 0.880262 -2.492278 0.880262 -0.03117
56 0.056 0.8466 0.878236 -2.483801 0.878236 -0.03164
57 0.057 0.844117 0.876214 -2.47535 0.876214 -0.0321
58 0.058 0.841641 0.874198 -2.466924 0.874198 -0.03256
59 0.059 0.839174 0.872187 -2.458523 0.872187 -0.03301
60 0.06 0.836716 0.87018 -2.450148 0.87018 -0.03346
61 0.061 0.834266 0.868179 -2.441797 0.868179 -0.03391
62 0.062 0.831824 0.866182 -2.433472 0.866182 -0.03436
63 0.063 0.82939 0.864191 -2.425171 0.864191 -0.0348
64 0.064 0.826965 0.862205 -2.416896 0.862205 -0.03524
65 0.065 0.824548 0.860223 -2.408645 0.860223 -0.03567
66 0.066 0.82214 0.858247 -2.400419 0.858247 -0.03611
67 0.067 0.819739 0.856275 -2.392218 0.856275 -0.03654
68 0.068 0.817347 0.854308 -2.384041 0.854308 -0.03696
69 0.069 0.814963 0.852346 -2.375889 0.852346 -0.03738
70 0.07 0.812587 0.850389 -2.367761 0.850389 -0.0378
71 0.071 0.810219 0.848437 -2.359658 0.848437 -0.03822
72 0.072 0.80786 0.84649 -2.351579 0.84649 -0.03863
73 0.073 0.805508 0.844548 -2.343524 0.844548 -0.03904
74 0.074 0.803165 0.84261 -2.335494 0.84261 -0.03945
75 0.075 0.800829 0.840677 -2.327487 0.840677 -0.03985
76 0.076 0.798502 0.83875 -2.319505 0.83875 -0.04025
77 0.077 0.796182 0.836826 -2.311546 0.836826 -0.04064
78 0.078 0.793871 0.834908 -2.303612 0.834908 -0.04104
79 0.079 0.791567 0.832994 -2.295701 0.832994 -0.04143
80 0.08 0.789271 0.831085 -2.287814 0.831085 -0.04181
81 0.081 0.786983 0.829181 -2.27995 0.829181 -0.0422
82 0.082 0.784704 0.827281 -2.272111 0.827281 -0.04258
83 0.083 0.782431 0.825387 -2.264294 0.825387 -0.04296
84 0.084 0.780167 0.823496 -2.256501 0.823496 -0.04333
85 0.085 0.777911 0.821611 -2.248732 0.821611 -0.0437
86 0.086 0.775662 0.81973 -2.240986 0.81973 -0.04407
87 0.087 0.773421 0.817854 -2.233263 0.817854 -0.04443
88 0.088 0.771188 0.815982 -2.225563 0.815982 -0.04479
89 0.089 0.768962 0.814115 -2.217886 0.814115 -0.04515
90 0.09 0.766744 0.812253 -2.210233 0.812253 -0.04551
91 0.091 0.764534 0.810395 -2.202602 0.810395 -0.04586
92 0.092 0.762331 0.808542 -2.194994 0.808542 -0.04621
93 0.093 0.760136 0.806693 -2.187409 0.806693 -0.04656
94 0.094 0.757949 0.804849 -2.179847 0.804849 -0.0469
95 0.095 0.755769 0.80301 -2.172307 0.80301 -0.04724
96 0.096 0.753597 0.801174 -2.16479 0.801174 -0.04758
97 0.097 0.751432 0.799344 -2.157296 0.799344 -0.04791
98 0.098 0.749275 0.797518 -2.149824 0.797518 -0.04824
99 0.099 0.747125 0.795696 -2.142375 0.795696 -0.04857
100 0.1 0.744983 0.793879 -2.134948 0.793879 -0.0489
101 0.101 0.742848 0.792066 -2.127543 0.792066 -0.04922
102 0.102 0.74072 0.790258 -2.12016 0.790258 -0.04954
103 0.103 0.7386 0.788454 -2.1128 0.788454 -0.04985
104 0.104 0.736487 0.786654 -2.105461 0.786654 -0.05017
105 0.105 0.734382 0.784859 -2.098145 0.784859 -0.05048
106 0.106 0.732283 0.783069 -2.09085 0.783069 -0.05079
107 0.107 0.730193 0.781282 -2.083578 0.781282 -0.05109
108 0.108 0.728109 0.7795 -2.076327 0.7795 -0.05139
109 0.109 0.726033 0.777722 -2.069098 0.777722 -0.05169
110 0.11 0.723964 0.775949 -2.061891 0.775949 -0.05199
111 0.111 0.721902 0.77418 -2.054705 0.77418 -0.05228
112 0.112 0.719847 0.772415 -2.047541 0.772415 -0.05257
113 0.113 0.717799 0.770655 -2.040398 0.770655 -0.05286
114 0.114 0.715759 0.768899 -2.033277 0.768899 -0.05314
115 0.115 0.713726 0.767147 -2.026177 0.767147 -0.05342
116 0.116 0.7117 0.765399 -2.019099 0.765399 -0.0537
117 0.117 0.709681 0.763656 -2.012042 0.763656 -0.05398
118 0.118 0.707668 0.761917 -2.005005 0.761917 -0.05425
119 0.119 0.705663 0.760182 -1.99799 0.760182 -0.05452
120 0.12 0.703665 0.758451 -1.990996 0.758451 -0.05479
121 0.121 0.701674 0.756724 -1.984023 0.756724 -0.05505
122 0.122 0.69969 0.755002 -1.977071 0.755002 -0.05531
123 0.123 0.697713 0.753284 -1.97014 0.753284 -0.05557
124 0.124 0.695743 0.751569 -1.96323 0.751569 -0.05583
125 0.125 0.69378 0.74986 -1.95634 0.74986 -0.05608
126 0.126 0.691824 0.748154 -1.949471 0.748154 -0.05633
127 0.127 0.689874 0.746452 -1.942623 0.746452 -0.05658
128 0.128 0.687932 0.744754 -1.935795 0.744754 -0.05682
129 0.129 0.685996 0.743061 -1.928987 0.743061 -0.05706
130 0.13 0.684067 0.741371 -1.9222 0.741371 -0.0573
131 0.131 0.682145 0.739686 -1.915434 0.739686 -0.05754
132 0.132 0.680229 0.738004 -1.908687 0.738004 -0.05778
133 0.133 0.67832 0.736327 -1.901961 0.736327 -0.05801
134 0.134 0.676419 0.734654 -1.895256 0.734654 -0.05824
135 0.135 0.674523 0.732985 -1.88857 0.732985 -0.05846
136 0.136 0.672635 0.731319 -1.881904 0.731319 -0.05868
137 0.137 0.670753 0.729658 -1.875258 0.729658 -0.05891
138 0.138 0.668878 0.728001 -1.868633 0.728001 -0.05912
139 0.139 0.667009 0.726347 -1.862027 0.726347 -0.05934
140 0.14 0.665147 0.724698 -1.855441 0.724698 -0.05955
141 0.141 0.663291 0.723052 -1.848874 0.723052 -0.05976
142 0.142 0.661443 0.721411 -1.842328 0.721411 -0.05997
143 0.143 0.6596 0.719773 -1.835801 0.719773 -0.06017
144 0.144 0.657764 0.71814 -1.829293 0.71814 -0.06038
145 0.145 0.655935 0.71651 -1.822805 0.71651 -0.06057
146 0.146 0.654112 0.714884 -1.816337 0.714884 -0.06077
147 0.147 0.652296 0.713262 -1.809888 0.713262 -0.06097
148 0.148 0.650486 0.711644 -1.803458 0.711644 -0.06116
149 0.149 0.648683 0.710029 -1.797048 0.710029 -0.06135
150 0.15 0.646886 0.708419 -1.790657 0.708419 -0.06153
151 0.151 0.645095 0.706812 -1.784285 0.706812 -0.06172
152 0.152 0.643311 0.705209 -1.777932 0.705209 -0.0619
153 0.153 0.641533 0.70361 -1.771598 0.70361 -0.06208
154 0.154 0.639761 0.702015 -1.765283 0.702015 -0.06225
155 0.155 0.637996 0.700423 -1.758988 0.700423 -0.06243
156 0.156 0.636237 0.698836 -1.752711 0.698836 -0.0626
157 0.157 0.634484 0.697252 -1.746452 0.697252 -0.06277
158 0.158 0.632738 0.695672 -1.740213 0.695672 -0.06293
159 0.159 0.630997 0.694095 -1.733992 0.694095 -0.0631
160 0.16 0.629263 0.692522 -1.72779 0.692522 -0.06326
161 0.161 0.627536 0.690953 -1.721607 0.690953 -0.06342
162 0.162 0.625814 0.689388 -1.715442 0.689388 -0.06357
163 0.163 0.624099 0.687826 -1.709296 0.687826 -0.06373
164 0.164 0.622389 0.686268 -1.703168 0.686268 -0.06388
165 0.165 0.620686 0.684714 -1.697059 0.684714 -0.06403
166 0.166 0.618989 0.683163 -1.690967 0.683163 -0.06417
167 0.167 0.617298 0.681616 -1.684894 0.681616 -0.06432
168 0.168 0.615613 0.680073 -1.67884 0.680073 -0.06446
169 0.169 0.613934 0.678533 -1.672803 0.678533 -0.0646
170 0.17 0.612262 0.676997 -1.666785 0.676997 -0.06474
171 0.171 0.610595 0.675465 -1.660784 0.675465 -0.06487
172 0.172 0.608934 0.673936 -1.654802 0.673936 -0.065
173 0.173 0.607279 0.67241 -1.648838 0.67241 -0.06513
174 0.174 0.60563 0.670888 -1.642891 0.670888 -0.06526
175 0.175 0.603988 0.66937 -1.636963 0.66937 -0.06538
176 0.176 0.602351 0.667856 -1.631052 0.667856 -0.06551
177 0.177 0.60072 0.666344 -1.625159 0.666344 -0.06562
178 0.178 0.599094 0.664837 -1.619283 0.664837 -0.06574
179 0.179 0.597475 0.663333 -1.613425 0.663333 -0.06586
180 0.18 0.595862 0.661832 -1.607585 0.661832 -0.06597
181 0.181 0.594254 0.660335 -1.601762 0.660335 -0.06608
182 0.182 0.592652 0.658841 -1.595957 0.658841 -0.06619
183 0.183 0.591056 0.657351 -1.590169 0.657351 -0.0663
184 0.184 0.589466 0.655865 -1.584398 0.655865 -0.0664
185 0.185 0.587882 0.654382 -1.578645 0.654382 -0.0665
186 0.186 0.586303 0.652902 -1.572909 0.652902 -0.0666
187 0.187 0.58473 0.651425 -1.567191 0.651425 -0.0667
188 0.188 0.583163 0.649953 -1.561489 0.649953 -0.06679
189 0.189 0.581602 0.648483 -1.555805 0.648483 -0.06688
190 0.19 0.580046 0.647017 -1.550137 0.647017 -0.06697
191 0.191 0.578496 0.645554 -1.544487 0.645554 -0.06706
192 0.192 0.576951 0.644095 -1.538853 0.644095 -0.06714
193 0.193 0.575412 0.642639 -1.533237 0.642639 -0.06723
194 0.194 0.573879 0.641186 -1.527637 0.641186 -0.06731
195 0.195 0.572351 0.639737 -1.522054 0.639737 -0.06739
196 0.196 0.570829 0.638291 -1.516488 0.638291 -0.06746
197 0.197 0.569313 0.636849 -1.510938 0.636849 -0.06754
198 0.198 0.567802 0.63541 -1.505406 0.63541 -0.06761
199 0.199 0.566296 0.633974 -1.499889 0.633974 -0.06768
200 0.2 0.564797 0.632541 -1.49439 0.632541 -0.06774
201 0.201 0.563302 0.631112 -1.488907 0.631112 -0.06781
202 0.202 0.561813 0.629686 -1.48344 0.629686 -0.06787
203 0.203 0.56033 0.628263 -1.47799 0.628263 -0.06793
204 0.204 0.558852 0.626844 -1.472556 0.626844 -0.06799
205 0.205 0.557379 0.625427 -1.467138 0.625427 -0.06805
206 0.206 0.555912 0.624014 -1.461737 0.624014 -0.0681
207 0.207 0.55445 0.622605 -1.456351 0.622605 -0.06815
208 0.208 0.552994 0.621198 -1.450982 0.621198 -0.0682
209 0.209 0.551543 0.619795 -1.445629 0.619795 -0.06825
210 0.21 0.550097 0.618395 -1.440292 0.618395 -0.0683
211 0.211 0.548657 0.616998 -1.434972 0.616998 -0.06834
212 0.212 0.547222 0.615604 -1.429667 0.615604 -0.06838
213 0.213 0.545793 0.614213 -1.424378 0.614213 -0.06842
214 0.214 0.544368 0.612826 -1.419105 0.612826 -0.06846
215 0.215 0.542949 0.611442 -1.413847 0.611442 -0.06849
216 0.216 0.541535 0.610061 -1.408606 0.610061 -0.06853
217 0.217 0.540127 0.608683 -1.40338 0.608683 -0.06856
218 0.218 0.538723 0.607308 -1.39817 0.607308 -0.06858
219 0.219 0.537325 0.605936 -1.392975 0.605936 -0.06861
220 0.22 0.535932 0.604568 -1.387796 0.604568 -0.06864
221 0.221 0.534544 0.603202 -1.382633 0.603202 -0.06866
222 0.222 0.533162 0.60184 -1.377485 0.60184 -0.06868
223 0.223 0.531784 0.60048 -1.372353 0.60048 -0.0687
224 0.224 0.530412 0.599124 -1.367235 0.599124 -0.06871
225 0.225 0.529045 0.597771 -1.362134 0.597771 -0.06873
226 0.226 0.527682 0.596421 -1.357047 0.596421 -0.06874
227 0.227 0.526325 0.595074 -1.351976 0.595074 -0.06875
228 0.228 0.524973 0.59373 -1.34692 0.59373 -0.06876
229 0.229 0.523627 0.592389 -1.34188 0.592389 -0.06876
230 0.23 0.522285 0.591051 -1.336854 0.591051 -0.06877
231 0.231 0.520948 0.589716 -1.331843 0.589716 -0.06877
232 0.232 0.519616 0.588384 -1.326848 0.588384 -0.06877
233 0.233 0.518289 0.587055 -1.321867 0.587055 -0.06877
234 0.234 0.516967 0.585729 -1.316902 0.585729 -0.06876
235 0.235 0.51565 0.584406 -1.311951 0.584406 -0.06876
236 0.236 0.514338 0.583086 -1.307015 0.583086 -0.06875
237 0.237 0.513031 0.581769 -1.302094 0.581769 -0.06874
238 0.238 0.511729 0.580454 -1.297188 0.580454 -0.06873
239 0.239 0.510432 0.579143 -1.292296 0.579143 -0.06871
240 0.24 0.50914 0.577835 -1.287419 0.577835 -0.0687
241 0.241 0.507852 0.576529 -1.282557 0.576529 -0.06868
242 0.242 0.50657 0.575227 -1.277709 0.575227 -0.06866
243 0.243 0.505292 0.573927 -1.272876 0.573927 -0.06864
244 0.244 0.504019 0.572631 -1.268058 0.572631 -0.06861
245 0.245 0.502751 0.571337 -1.263253 0.571337 -0.06859
246 0.246 0.501488 0.570046 -1.258464 0.570046 -0.06856
247 0.247 0.500229 0.568758 -1.253688 0.568758 -0.06853
248 0.248 0.498976 0.567473 -1.248927 0.567473 -0.0685
249 0.249 0.497727 0.566191 -1.24418 0.566191 -0.06846
250 0.25 0.496483 0.564911 -1.239448 0.564911 -0.06843
251 0.251 0.495243 0.563634 -1.23473 0.563634 -0.06839
252 0.252 0.494008 0.562361 -1.230025 0.562361 -0.06835
253 0.253 0.492778 0.56109 -1.225335 0.56109 -0.06831
254 0.254 0.491553 0.559821 -1.220659 0.559821 -0.06827
255 0.255 0.490332 0.558556 -1.215997 0.558556 -0.06822
256 0.256 0.489116 0.557293 -1.211349 0.557293 -0.06818
257 0.257 0.487905 0.556034 -1.206715 0.556034 -0.06813
258 0.258 0.486698 0.554776 -1.202095 0.554776 -0.06808
259 0.259 0.485496 0.553522 -1.197489 0.553522 -0.06803
260 0.26 0.484299 0.552271 -1.192896 0.552271 -0.06797
261 0.261 0.483106 0.551022 -1.188318 0.551022 -0.06792
262 0.262 0.481918 0.549776 -1.183753 0.549776 -0.06786
263 0.263 0.480734 0.548533 -1.179201 0.548533 -0.0678
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532 0.532 0.290911 0.291137 -0.340734 0.291137 -0.00023
533 0.533 0.29057 0.290399 -0.338711 0.290399 0.000171
534 0.534 0.290232 0.289662 -0.336695 0.289662 0.00057
535 0.535 0.289895 0.288926 -0.334685 0.288926 0.000969
536 0.536 0.28956 0.288192 -0.332681 0.288192 0.001368
537 0.537 0.289228 0.287459 -0.330683 0.287459 0.001769
538 0.538 0.288897 0.286726 -0.328691 0.286726 0.002171
539 0.539 0.288568 0.285996 -0.326705 0.285996 0.002573
540 0.54 0.288242 0.285266 -0.324725 0.285266 0.002976
541 0.541 0.287917 0.284537 -0.322751 0.284537 0.00338
542 0.542 0.287594 0.28381 -0.320782 0.28381 0.003784
543 0.543 0.287273 0.283084 -0.31882 0.283084 0.00419
544 0.544 0.286955 0.282359 -0.316864 0.282359 0.004596
545 0.545 0.286638 0.281635 -0.314913 0.281635 0.005003
546 0.546 0.286323 0.280912 -0.312968 0.280912 0.00541
547 0.547 0.28601 0.280191 -0.311029 0.280191 0.005819
548 0.548 0.285699 0.27947 -0.309096 0.27947 0.006228
549 0.549 0.28539 0.278751 -0.307169 0.278751 0.006638
550 0.55 0.285082 0.278033 -0.305247 0.278033 0.007049
551 0.551 0.284777 0.277316 -0.303332 0.277316 0.007461
552 0.552 0.284474 0.276601 -0.301422 0.276601 0.007873
553 0.553 0.284172 0.275886 -0.299517 0.275886 0.008286
554 0.554 0.283873 0.275173 -0.297619 0.275173 0.0087
555 0.555 0.283575 0.27446 -0.295726 0.27446 0.009115
556 0.556 0.28328 0.273749 -0.293839 0.273749 0.00953
557 0.557 0.282986 0.273039 -0.291957 0.273039 0.009946
558 0.558 0.282694 0.27233 -0.290081 0.27233 0.010363
559 0.559 0.282404 0.271623 -0.288211 0.271623 0.010781
560 0.56 0.282116 0.270916 -0.286347 0.270916 0.0112
561 0.561 0.281829 0.27021 -0.284488 0.27021 0.011619
562 0.562 0.281545 0.269506 -0.282634 0.269506 0.012039
563 0.563 0.281262 0.268803 -0.280786 0.268803 0.012459
564 0.564 0.280981 0.268101 -0.278944 0.268101 0.012881
565 0.565 0.280702 0.267399 -0.277107 0.267399 0.013303
566 0.566 0.280425 0.2667 -0.275276 0.2667 0.013726
567 0.567 0.28015 0.266001 -0.27345 0.266001 0.014149
568 0.568 0.279876 0.265303 -0.271629 0.265303 0.014574
569 0.569 0.279605 0.264606 -0.269815 0.264606 0.014999
570 0.57 0.279335 0.263911 -0.268005 0.263911 0.015425
571 0.571 0.279067 0.263216 -0.266201 0.263216 0.015851
572 0.572 0.278801 0.262523 -0.264403 0.262523 0.016278
573 0.573 0.278536 0.26183 -0.262609 0.26183 0.016706
574 0.574 0.278274 0.261139 -0.260821 0.261139 0.017135
575 0.575 0.278013 0.260449 -0.259039 0.260449 0.017564
576 0.576 0.277754 0.25976 -0.257262 0.25976 0.017994
577 0.577 0.277497 0.259071 -0.25549 0.259071 0.018425
578 0.578 0.277241 0.258384 -0.253724 0.258384 0.018857
579 0.579 0.276987 0.257699 -0.251962 0.257699 0.019289
580 0.58 0.276736 0.257014 -0.250207 0.257014 0.019722
581 0.581 0.276485 0.25633 -0.248456 0.25633 0.020156
582 0.582 0.276237 0.255647 -0.246711 0.255647 0.02059
583 0.583 0.27599 0.254965 -0.24497 0.254965 0.021025
584 0.584 0.275745 0.254284 -0.243236 0.254284 0.021461
585 0.585 0.275502 0.253605 -0.241506 0.253605 0.021897
586 0.586 0.27526 0.252926 -0.239781 0.252926 0.022334
587 0.587 0.275021 0.252249 -0.238062 0.252249 0.022772
588 0.588 0.274783 0.251572 -0.236348 0.251572 0.023211
589 0.589 0.274546 0.250897 -0.234639 0.250897 0.02365
590 0.59 0.274312 0.250222 -0.232935 0.250222 0.02409
591 0.591 0.274079 0.249549 -0.231236 0.249549 0.02453
592 0.592 0.273847 0.248876 -0.229542 0.248876 0.024971
593 0.593 0.273618 0.248205 -0.227854 0.248205 0.025413
594 0.594 0.27339 0.247534 -0.22617 0.247534 0.025856
595 0.595 0.273164 0.246865 -0.224492 0.246865 0.026299
596 0.596 0.272939 0.246196 -0.222818 0.246196 0.026743
597 0.597 0.272717 0.245529 -0.22115 0.245529 0.027188
598 0.598 0.272495 0.244862 -0.219486 0.244862 0.027633
599 0.599 0.272276 0.244197 -0.217828 0.244197 0.028079
600 0.6 0.272058 0.243533 -0.216174 0.243533 0.028526
601 0.601 0.271842 0.242869 -0.214526 0.242869 0.028973
602 0.602 0.271627 0.242207 -0.212882 0.242207 0.029421
603 0.603 0.271415 0.241545 -0.211244 0.241545 0.029869
604 0.604 0.271203 0.240885 -0.20961 0.240885 0.030319
605 0.605 0.270994 0.240225 -0.207981 0.240225 0.030768
606 0.606 0.270786 0.239567 -0.206357 0.239567 0.031219
607 0.607 0.270579 0.238909 -0.204738 0.238909 0.03167
608 0.608 0.270375 0.238253 -0.203124 0.238253 0.032122
609 0.609 0.270171 0.237597 -0.201514 0.237597 0.032574
610 0.61 0.26997 0.236942 -0.19991 0.236942 0.033028
611 0.611 0.26977 0.236289 -0.19831 0.236289 0.033481
612 0.612 0.269572 0.235636 -0.196715 0.235636 0.033936
613 0.613 0.269375 0.234984 -0.195125 0.234984 0.034391
614 0.614 0.26918 0.234333 -0.19354 0.234333 0.034846
615 0.615 0.268986 0.233684 -0.191959 0.233684 0.035303
616 0.616 0.268794 0.233035 -0.190383 0.233035 0.03576
617 0.617 0.268604 0.232387 -0.188812 0.232387 0.036217
618 0.618 0.268415 0.23174 -0.187246 0.23174 0.036676
619 0.619 0.268228 0.231094 -0.185684 0.231094 0.037134
620 0.62 0.268042 0.230448 -0.184127 0.230448 0.037594
621 0.621 0.267858 0.229804 -0.182574 0.229804 0.038054
622 0.622 0.267676 0.229161 -0.181027 0.229161 0.038515
623 0.623 0.267495 0.228519 -0.179484 0.228519 0.038976
624 0.624 0.267315 0.227877 -0.177945 0.227877 0.039438
625 0.625 0.267137 0.227237 -0.176411 0.227237 0.0399
626 0.626 0.266961 0.226597 -0.174882 0.226597 0.040364
627 0.627 0.266786 0.225958 -0.173357 0.225958 0.040827
628 0.628 0.266612 0.225321 -0.171837 0.225321 0.041292
629 0.629 0.266441 0.224684 -0.170322 0.224684 0.041757
630 0.63 0.26627 0.224048 -0.168811 0.224048 0.042222
631 0.631 0.266101 0.223413 -0.167304 0.223413 0.042689
632 0.632 0.265934 0.222779 -0.165803 0.222779 0.043155
633 0.633 0.265768 0.222146 -0.164305 0.222146 0.043623
634 0.634 0.265604 0.221513 -0.162812 0.221513 0.044091
635 0.635 0.265441 0.220882 -0.161324 0.220882 0.04456
636 0.636 0.26528 0.220251 -0.15984 0.220251 0.045029
637 0.637 0.26512 0.219622 -0.15836 0.219622 0.045499
638 0.638 0.264962 0.218993 -0.156885 0.218993 0.045969
639 0.639 0.264805 0.218365 -0.155415 0.218365 0.04644
640 0.64 0.264649 0.217738 -0.153948 0.217738 0.046911
641 0.641 0.264495 0.217112 -0.152486 0.217112 0.047384
642 0.642 0.264343 0.216487 -0.151029 0.216487 0.047856
643 0.643 0.264192 0.215862 -0.149576 0.215862 0.04833
644 0.644 0.264042 0.215239 -0.148127 0.215239 0.048804
645 0.645 0.263894 0.214616 -0.146683 0.214616 0.049278
646 0.646 0.263748 0.213994 -0.145243 0.213994 0.049753
647 0.647 0.263602 0.213374 -0.143807 0.213374 0.050229
648 0.648 0.263459 0.212754 -0.142376 0.212754 0.050705
649 0.649 0.263316 0.212134 -0.140948 0.212134 0.051182
650 0.65 0.263175 0.211516 -0.139526 0.211516 0.051659
651 0.651 0.263036 0.210899 -0.138107 0.210899 0.052137
652 0.652 0.262898 0.210282 -0.136693 0.210282 0.052616
653 0.653 0.262761 0.209666 -0.135283 0.209666 0.053095
654 0.654 0.262626 0.209051 -0.133877 0.209051 0.053574
655 0.655 0.262492 0.208437 -0.132475 0.208437 0.054054
656 0.656 0.262359 0.207824 -0.131078 0.207824 0.054535
657 0.657 0.262228 0.207212 -0.129685 0.207212 0.055017
658 0.658 0.262098 0.2066 -0.128295 0.2066 0.055498
659 0.659 0.26197 0.205989 -0.126911 0.205989 0.055981
660 0.66 0.261843 0.205379 -0.12553 0.205379 0.056464
661 0.661 0.261718 0.20477 -0.124153 0.20477 0.056947
662 0.662 0.261594 0.204162 -0.122781 0.204162 0.057431
663 0.663 0.261471 0.203555 -0.121412 0.203555 0.057916
664 0.664 0.261349 0.202948 -0.120048 0.202948 0.058401
665 0.665 0.261229 0.202342 -0.118688 0.202342 0.058887
666 0.666 0.261111 0.201737 -0.117332 0.201737 0.059373
667 0.667 0.260993 0.201133 -0.11598 0.201133 0.05986
668 0.668 0.260877 0.20053 -0.114632 0.20053 0.060347
669 0.669 0.260763 0.199927 -0.113288 0.199927 0.060835
670 0.67 0.260649 0.199326 -0.111948 0.199326 0.061324
671 0.671 0.260537 0.198725 -0.110612 0.198725 0.061813
672 0.672 0.260427 0.198125 -0.109281 0.198125 0.062302
673 0.673 0.260318 0.197525 -0.107953 0.197525 0.062792
674 0.674 0.26021 0.196927 -0.106629 0.196927 0.063283
675 0.675 0.260103 0.196329 -0.105309 0.196329 0.063774
676 0.676 0.259998 0.195732 -0.103993 0.195732 0.064265
677 0.677 0.259894 0.195136 -0.102681 0.195136 0.064758
678 0.678 0.259791 0.194541 -0.101373 0.194541 0.06525
679 0.679 0.25969 0.193946 -0.100069 0.193946 0.065743
680 0.68 0.25959 0.193352 -0.098769 0.193352 0.066237
681 0.681 0.259491 0.192759 -0.097472 0.192759 0.066731
682 0.682 0.259393 0.192167 -0.09618 0.192167 0.067226
683 0.683 0.259297 0.191576 -0.094892 0.191576 0.067721
684 0.684 0.259202 0.190985 -0.093607 0.190985 0.068217
685 0.685 0.259109 0.190395 -0.092326 0.190395 0.068713
686 0.686 0.259016 0.189806 -0.091049 0.189806 0.06921
687 0.687 0.258925 0.189218 -0.089776 0.189218 0.069708
688 0.688 0.258836 0.18863 -0.088507 0.18863 0.070205