Deret Fourier Genap.xlsx

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x 0 30 45 60 90 120 135 50 180 210 225 240 270 300 315 330 360

x rad

sin 2x

sin 4x

0 0.523599 0.785398 1.047198 1.570796 2.094395 2.356194 0.872665 3.141593 3.665191 3.926991 4.18879 4.712389 5.235988 5.497787 5.759587 6.283185

0 0 0.8660254038 0.8660254038 1 1.224646799147E-16 0.8660254038 -0.8660254038 1.224646799147E-16 -2.449293598295E-16 -0.8660254038 0.8660254038 -1 3.673940397442E-16 0.984807753 -0.3420201433 -2.44929359829E-16 -4.898587196589E-16 0.8660254038 0.8660254038 1 6.123233995737E-16 0.8660254038 -0.8660254038 3.673940397442E-16 -7.347880794884E-16 -0.8660254038 0.8660254038 -1 8.572527594031E-16 -0.8660254038 -0.8660254038 -4.89858719659E-16 -9.797174393179E-16

sin 6x 0 1.22514845490862E-16 -1 -2.44929359829471E-16 3.67394039744206E-16 -4.89858719658941E-16 1 -0.8660254038 -7.34788079488412E-16 -2.69546091939735E-15 -1 -9.79717439317883E-16 1.10218211923262E-15 -1.22464679914735E-15 1 4.89982515786259E-15 -1.46957615897682E-15

Persamaan 0 0.6495190528 0.3333333333 0.2165063509 6.123233995737E-17 -0.2165063509 -0.3333333333 0.2625612734 -3.67394039744E-16 0.6495190528 0.3333333333 0.2165063509 1.836970198721E-16 -0.2165063509 -0.3333333333 -0.6495190528 -7.34788079488E-16

Chart Title 0.8 0.6 0.4 0.2 0 -0.2 -0.4 -0.6 -0.8

0

2

4

6

8

10

12

14

16

18

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44

0 0.017453 0.034907 0.05236 0.069813 0.087266 0.10472 0.122173 0.139626 0.15708 0.174533 0.191986 0.20944 0.226893 0.244346 0.261799 0.279253 0.296706 0.314159 0.331613 0.349066 0.366519 0.383972 0.401426 0.418879 0.436332 0.453786 0.471239 0.488692 0.506145 0.523599 0.541052 0.558505 0.575959 0.593412 0.610865 0.628319 0.645772 0.663225 0.680678 0.698132 0.715585 0.733038 0.750492 0.767945

0 0.034899 0.069756 0.104528 0.139173 0.173648 0.207912 0.241922 0.275637 0.309017 0.34202 0.374607 0.406737 0.438371 0.469472 0.5 0.529919 0.559193 0.587785 0.615661 0.642788 0.669131 0.694658 0.71934 0.743145 0.766044 0.788011 0.809017 0.829038 0.848048 0.866025 0.882948 0.898794 0.913545 0.927184 0.939693 0.951057 0.961262 0.970296 0.978148 0.984808 0.990268 0.994522 0.997564 0.999391

0 0.069756 0.139173 0.207912 0.275637 0.34202 0.406737 0.469472 0.529919 0.587785 0.642788 0.694658 0.743145 0.788011 0.829038 0.866025 0.898794 0.927184 0.951057 0.970296 0.984808 0.994522 0.999391 0.999391 0.994522 0.984808 0.970296 0.951057 0.927184 0.898794 0.866025 0.829038 0.788011 0.743145 0.694658 0.642788 0.587785 0.529919 0.469472 0.406737 0.34202 0.275637 0.207912 0.139173 0.069756

0 0.104528 0.207912 0.309017 0.406737 0.5 0.587785 0.669131 0.743145 0.809017 0.866025 0.913545 0.951057 0.978148 0.994522 1 0.994522 0.978148 0.951057 0.913545 0.866025 0.809017 0.743145 0.669131 0.587785 0.5 0.406737 0.309017 0.207912 0.104528 1.22E-16 -0.10453 -0.20791 -0.30902 -0.40674 -0.5 -0.58779 -0.66913 -0.74314 -0.80902 -0.86603 -0.91355 -0.95106 -0.97815 -0.99452

0 0.05231 0.104323 0.155745 0.206285 0.255662 0.303604 0.349851 0.394156 0.436291 0.476045 0.513225 0.547664 0.579213 0.607749 0.633173 0.655412 0.674417 0.690166 0.702662 0.711933 0.718032 0.721034 0.721039 0.718167 0.712557 0.704369 0.693775 0.680967 0.666144 0.649519 0.631312 0.611748 0.591056 0.569467 0.54721 0.52451 0.501589 0.478658 0.455922 0.433571 0.411786 0.390729 0.370551 0.351381

45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89

0.785398 0.802851 0.820305 0.837758 0.855211 0.872665 0.890118 0.907571 0.925025 0.942478 0.959931 0.977384 0.994838 1.012291 1.029744 1.047198 1.064651 1.082104 1.099557 1.117011 1.134464 1.151917 1.169371 1.186824 1.204277 1.22173 1.239184 1.256637 1.27409 1.291544 1.308997 1.32645 1.343904 1.361357 1.37881 1.396263 1.413717 1.43117 1.448623 1.466077 1.48353 1.500983 1.518436 1.53589 1.553343

1 0.999391 0.997564 0.994522 0.990268 0.984808 0.978148 0.970296 0.961262 0.951057 0.939693 0.927184 0.913545 0.898794 0.882948 0.866025 0.848048 0.829038 0.809017 0.788011 0.766044 0.743145 0.71934 0.694658 0.669131 0.642788 0.615661 0.587785 0.559193 0.529919 0.5 0.469472 0.438371 0.406737 0.374607 0.34202 0.309017 0.275637 0.241922 0.207912 0.173648 0.139173 0.104528 0.069756 0.034899

1.22E-16 -0.06976 -0.13917 -0.20791 -0.27564 -0.34202 -0.40674 -0.46947 -0.52992 -0.58779 -0.64279 -0.69466 -0.74314 -0.78801 -0.82904 -0.86603 -0.89879 -0.92718 -0.95106 -0.9703 -0.98481 -0.99452 -0.99939 -0.99939 -0.99452 -0.98481 -0.9703 -0.95106 -0.92718 -0.89879 -0.86603 -0.82904 -0.78801 -0.74314 -0.69466 -0.64279 -0.58779 -0.52992 -0.46947 -0.40674 -0.34202 -0.27564 -0.20791 -0.13917 -0.06976

-1 -0.99452 -0.97815 -0.95106 -0.91355 -0.86603 -0.80902 -0.74314 -0.66913 -0.58779 -0.5 -0.40674 -0.30902 -0.20791 -0.10453 -2.45E-16 0.104528 0.207912 0.309017 0.406737 0.5 0.587785 0.669131 0.743145 0.809017 0.866025 0.913545 0.951057 0.978148 0.994522 1 0.994522 0.978148 0.951057 0.913545 0.866025 0.809017 0.743145 0.669131 0.587785 0.5 0.406737 0.309017 0.207912 0.104528

0.333333 0.316503 0.300964 0.286774 0.273967 0.262561 0.252553 0.243923 0.236629 0.230618 0.225816 0.222138 0.219484 0.217742 0.216793 0.216506 0.216747 0.217375 0.218247 0.219221 0.220154 0.220906 0.221344 0.221339 0.220771 0.219529 0.217514 0.214638 0.210825 0.206015 0.20016 0.19323 0.185207 0.176092 0.165896 0.154651 0.142398 0.129196 0.115115 0.100236 0.084652 0.068467 0.051789 0.034737 0.017432

Chart Title 0.8 0.6 0.4 0.2 0

0

100

200

300

400

Chart Title 0.8 0.6

90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134

1.570796 1.58825 1.605703 1.623156 1.640609 1.658063 1.675516 1.692969 1.710423 1.727876 1.745329 1.762783 1.780236 1.797689 1.815142 1.832596 1.850049 1.867502 1.884956 1.902409 1.919862 1.937315 1.954769 1.972222 1.989675 2.007129 2.024582 2.042035 2.059489 2.076942 2.094395 2.111848 2.129302 2.146755 2.164208 2.181662 2.199115 2.216568 2.234021 2.251475 2.268928 2.286381 2.303835 2.321288 2.338741

1.22E-16 -0.0349 -0.06976 -0.10453 -0.13917 -0.17365 -0.20791 -0.24192 -0.27564 -0.30902 -0.34202 -0.37461 -0.40674 -0.43837 -0.46947 -0.5 -0.52992 -0.55919 -0.58779 -0.61566 -0.64279 -0.66913 -0.69466 -0.71934 -0.74314 -0.76604 -0.78801 -0.80902 -0.82904 -0.84805 -0.86603 -0.88295 -0.89879 -0.91355 -0.92718 -0.93969 -0.95106 -0.96126 -0.9703 -0.97815 -0.98481 -0.99027 -0.99452 -0.99756 -0.99939

-2.45E-16 0.069756 0.139173 0.207912 0.275637 0.34202 0.406737 0.469472 0.529919 0.587785 0.642788 0.694658 0.743145 0.788011 0.829038 0.866025 0.898794 0.927184 0.951057 0.970296 0.984808 0.994522 0.999391 0.999391 0.994522 0.984808 0.970296 0.951057 0.927184 0.898794 0.866025 0.829038 0.788011 0.743145 0.694658 0.642788 0.587785 0.529919 0.469472 0.406737 0.34202 0.275637 0.207912 0.139173 0.069756

3.67E-16 -0.10453 -0.20791 -0.30902 -0.40674 -0.5 -0.58779 -0.66913 -0.74314 -0.80902 -0.86603 -0.91355 -0.95106 -0.97815 -0.99452 -1 -0.99452 -0.97815 -0.95106 -0.91355 -0.86603 -0.80902 -0.74314 -0.66913 -0.58779 -0.5 -0.40674 -0.30902 -0.20791 -0.10453 -4.9E-16 0.104528 0.207912 0.309017 0.406737 0.5 0.587785 0.669131 0.743145 0.809017 0.866025 0.913545 0.951057 0.978148 0.994522

6.12E-17 -0.01743 -0.03474 -0.05179 -0.06847 -0.08465 -0.10024 -0.11511 -0.1292 -0.1424 -0.15465 -0.1659 -0.17609 -0.18521 -0.19323 -0.20016 -0.20601 -0.21083 -0.21464 -0.21751 -0.21953 -0.22077 -0.22134 -0.22134 -0.22091 -0.22015 -0.21922 -0.21825 -0.21737 -0.21675 -0.21651 -0.21679 -0.21774 -0.21948 -0.22214 -0.22582 -0.23062 -0.23663 -0.24392 -0.25255 -0.26256 -0.27397 -0.28677 -0.30096 -0.3165

0.4 0.2 0 -0.2 -0.4 -0.6 -0.8

0

100

200

300

400

135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179

2.356194 2.373648 2.391101 2.408554 2.426008 2.443461 2.460914 2.478368 2.495821 2.513274 2.530727 2.548181 2.565634 2.583087 2.600541 2.617994 2.635447 2.6529 2.670354 2.687807 2.70526 2.722714 2.740167 2.75762 2.775074 2.792527 2.80998 2.827433 2.844887 2.86234 2.879793 2.897247 2.9147 2.932153 2.949606 2.96706 2.984513 3.001966 3.01942 3.036873 3.054326 3.071779 3.089233 3.106686 3.124139

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3.67E-16 -0.06976 -0.13917 -0.20791 -0.27564 -0.34202 -0.40674 -0.46947 -0.52992 -0.58779 -0.64279 -0.69466 -0.74314 -0.78801 -0.82904 -0.86603 -0.89879 -0.92718 -0.95106 -0.9703 -0.98481 -0.99452 -0.99939 -0.99939 -0.99452 -0.98481 -0.9703 -0.95106 -0.92718 -0.89879 -0.86603 -0.82904 -0.78801 -0.74314 -0.69466 -0.64279 -0.58779 -0.52992 -0.46947 -0.40674 -0.34202 -0.27564 -0.20791 -0.13917 -0.06976

1 0.994522 0.978148 0.951057 0.913545 0.866025 0.809017 0.743145 0.669131 0.587785 0.5 0.406737 0.309017 0.207912 0.104528 6.12E-16 -0.10453 -0.20791 -0.30902 -0.40674 -0.5 -0.58779 -0.66913 -0.74314 -0.80902 -0.86603 -0.91355 -0.95106 -0.97815 -0.99452 -1 -0.99452 -0.97815 -0.95106 -0.91355 -0.86603 -0.80902 -0.74314 -0.66913 -0.58779 -0.5 -0.40674 -0.30902 -0.20791 -0.10453

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180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224

3.141593 3.159046 3.176499 3.193953 3.211406 3.228859 3.246312 3.263766 3.281219 3.298672 3.316126 3.333579 3.351032 3.368485 3.385939 3.403392 3.420845 3.438299 3.455752 3.473205 3.490659 3.508112 3.525565 3.543018 3.560472 3.577925 3.595378 3.612832 3.630285 3.647738 3.665191 3.682645 3.700098 3.717551 3.735005 3.752458 3.769911 3.787364 3.804818 3.822271 3.839724 3.857178 3.874631 3.892084 3.909538

-2.45E-16 0.034899 0.069756 0.104528 0.139173 0.173648 0.207912 0.241922 0.275637 0.309017 0.34202 0.374607 0.406737 0.438371 0.469472 0.5 0.529919 0.559193 0.587785 0.615661 0.642788 0.669131 0.694658 0.71934 0.743145 0.766044 0.788011 0.809017 0.829038 0.848048 0.866025 0.882948 0.898794 0.913545 0.927184 0.939693 0.951057 0.961262 0.970296 0.978148 0.984808 0.990268 0.994522 0.997564 0.999391

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-7.35E-16 0.104528 0.207912 0.309017 0.406737 0.5 0.587785 0.669131 0.743145 0.809017 0.866025 0.913545 0.951057 0.978148 0.994522 1 0.994522 0.978148 0.951057 0.913545 0.866025 0.809017 0.743145 0.669131 0.587785 0.5 0.406737 0.309017 0.207912 0.104528 -2.7E-15 -0.10453 -0.20791 -0.30902 -0.40674 -0.5 -0.58779 -0.66913 -0.74314 -0.80902 -0.86603 -0.91355 -0.95106 -0.97815 -0.99452

-3.67E-16 0.05231 0.104323 0.155745 0.206285 0.255662 0.303604 0.349851 0.394156 0.436291 0.476045 0.513225 0.547664 0.579213 0.607749 0.633173 0.655412 0.674417 0.690166 0.702662 0.711933 0.718032 0.721034 0.721039 0.718167 0.712557 0.704369 0.693775 0.680967 0.666144 0.649519 0.631312 0.611748 0.591056 0.569467 0.54721 0.52451 0.501589 0.478658 0.455922 0.433571 0.411786 0.390729 0.370551 0.351381

225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269

3.926991 3.944444 3.961897 3.979351 3.996804 4.014257 4.031711 4.049164 4.066617 4.08407 4.101524 4.118977 4.13643 4.153884 4.171337 4.18879 4.206243 4.223697 4.24115 4.258603 4.276057 4.29351 4.310963 4.328417 4.34587 4.363323 4.380776 4.39823 4.415683 4.433136 4.45059 4.468043 4.485496 4.502949 4.520403 4.537856 4.555309 4.572763 4.590216 4.607669 4.625123 4.642576 4.660029 4.677482 4.694936

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270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314

4.712389 4.729842 4.747296 4.764749 4.782202 4.799655 4.817109 4.834562 4.852015 4.869469 4.886922 4.904375 4.921828 4.939282 4.956735 4.974188 4.991642 5.009095 5.026548 5.044002 5.061455 5.078908 5.096361 5.113815 5.131268 5.148721 5.166175 5.183628 5.201081 5.218534 5.235988 5.253441 5.270894 5.288348 5.305801 5.323254 5.340708 5.358161 5.375614 5.393067 5.410521 5.427974 5.445427 5.462881 5.480334

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-7.35E-16 0.069756 0.139173 0.207912 0.275637 0.34202 0.406737 0.469472 0.529919 0.587785 0.642788 0.694658 0.743145 0.788011 0.829038 0.866025 0.898794 0.927184 0.951057 0.970296 0.984808 0.994522 0.999391 0.999391 0.994522 0.984808 0.970296 0.951057 0.927184 0.898794 0.866025 0.829038 0.788011 0.743145 0.694658 0.642788 0.587785 0.529919 0.469472 0.406737 0.34202 0.275637 0.207912 0.139173 0.069756

1.1E-15 -0.10453 -0.20791 -0.30902 -0.40674 -0.5 -0.58779 -0.66913 -0.74314 -0.80902 -0.86603 -0.91355 -0.95106 -0.97815 -0.99452 -1 -0.99452 -0.97815 -0.95106 -0.91355 -0.86603 -0.80902 -0.74314 -0.66913 -0.58779 -0.5 -0.40674 -0.30902 -0.20791 -0.10453 -1.22E-15 0.104528 0.207912 0.309017 0.406737 0.5 0.587785 0.669131 0.743145 0.809017 0.866025 0.913545 0.951057 0.978148 0.994522

1.84E-16 -0.01743 -0.03474 -0.05179 -0.06847 -0.08465 -0.10024 -0.11511 -0.1292 -0.1424 -0.15465 -0.1659 -0.17609 -0.18521 -0.19323 -0.20016 -0.20601 -0.21083 -0.21464 -0.21751 -0.21953 -0.22077 -0.22134 -0.22134 -0.22091 -0.22015 -0.21922 -0.21825 -0.21737 -0.21675 -0.21651 -0.21679 -0.21774 -0.21948 -0.22214 -0.22582 -0.23062 -0.23663 -0.24392 -0.25255 -0.26256 -0.27397 -0.28677 -0.30096 -0.3165

315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359

5.497787 5.51524 5.532694 5.550147 5.5676 5.585054 5.602507 5.61996 5.637413 5.654867 5.67232 5.689773 5.707227 5.72468 5.742133 5.759587 5.77704 5.794493 5.811946 5.8294 5.846853 5.864306 5.88176 5.899213 5.916666 5.934119 5.951573 5.969026 5.986479 6.003933 6.021386 6.038839 6.056293 6.073746 6.091199 6.108652 6.126106 6.143559 6.161012 6.178466 6.195919 6.213372 6.230825 6.248279 6.265732

-1 -0.99939 -0.99756 -0.99452 -0.99027 -0.98481 -0.97815 -0.9703 -0.96126 -0.95106 -0.93969 -0.92718 -0.91355 -0.89879 -0.88295 -0.86603 -0.84805 -0.82904 -0.80902 -0.78801 -0.76604 -0.74314 -0.71934 -0.69466 -0.66913 -0.64279 -0.61566 -0.58779 -0.55919 -0.52992 -0.5 -0.46947 -0.43837 -0.40674 -0.37461 -0.34202 -0.30902 -0.27564 -0.24192 -0.20791 -0.17365 -0.13917 -0.10453 -0.06976 -0.0349

8.57E-16 -0.06976 -0.13917 -0.20791 -0.27564 -0.34202 -0.40674 -0.46947 -0.52992 -0.58779 -0.64279 -0.69466 -0.74314 -0.78801 -0.82904 -0.86603 -0.89879 -0.92718 -0.95106 -0.9703 -0.98481 -0.99452 -0.99939 -0.99939 -0.99452 -0.98481 -0.9703 -0.95106 -0.92718 -0.89879 -0.86603 -0.82904 -0.78801 -0.74314 -0.69466 -0.64279 -0.58779 -0.52992 -0.46947 -0.40674 -0.34202 -0.27564 -0.20791 -0.13917 -0.06976

1 0.994522 0.978148 0.951057 0.913545 0.866025 0.809017 0.743145 0.669131 0.587785 0.5 0.406737 0.309017 0.207912 0.104528 4.9E-15 -0.10453 -0.20791 -0.30902 -0.40674 -0.5 -0.58779 -0.66913 -0.74314 -0.80902 -0.86603 -0.91355 -0.95106 -0.97815 -0.99452 -1 -0.99452 -0.97815 -0.95106 -0.91355 -0.86603 -0.80902 -0.74314 -0.66913 -0.58779 -0.5 -0.40674 -0.30902 -0.20791 -0.10453

-0.33333 -0.35138 -0.37055 -0.39073 -0.41179 -0.43357 -0.45592 -0.47866 -0.50159 -0.52451 -0.54721 -0.56947 -0.59106 -0.61175 -0.63131 -0.64952 -0.66614 -0.68097 -0.69378 -0.70437 -0.71256 -0.71817 -0.72104 -0.72103 -0.71803 -0.71193 -0.70266 -0.69017 -0.67442 -0.65541 -0.63317 -0.60775 -0.57921 -0.54766 -0.51323 -0.47604 -0.43629 -0.39416 -0.34985 -0.3036 -0.25566 -0.20629 -0.15574 -0.10432 -0.05231

360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404

6.283185 6.300639 6.318092 6.335545 6.352998 6.370452 6.387905 6.405358 6.422812 6.440265 6.457718 6.475172 6.492625 6.510078 6.527531 6.544985 6.562438 6.579891 6.597345 6.614798 6.632251 6.649704 6.667158 6.684611 6.702064 6.719518 6.736971 6.754424 6.771877 6.789331 6.806784 6.824237 6.841691 6.859144 6.876597 6.894051 6.911504 6.928957 6.94641 6.963864 6.981317 6.99877 7.016224 7.033677 7.05113

-4.9E-16 0.034899 0.069756 0.104528 0.139173 0.173648 0.207912 0.241922 0.275637 0.309017 0.34202 0.374607 0.406737 0.438371 0.469472 0.5 0.529919 0.559193 0.587785 0.615661 0.642788 0.669131 0.694658 0.71934 0.743145 0.766044 0.788011 0.809017 0.829038 0.848048 0.866025 0.882948 0.898794 0.913545 0.927184 0.939693 0.951057 0.961262 0.970296 0.978148 0.984808 0.990268 0.994522 0.997564 0.999391

-9.8E-16 0.069756 0.139173 0.207912 0.275637 0.34202 0.406737 0.469472 0.529919 0.587785 0.642788 0.694658 0.743145 0.788011 0.829038 0.866025 0.898794 0.927184 0.951057 0.970296 0.984808 0.994522 0.999391 0.999391 0.994522 0.984808 0.970296 0.951057 0.927184 0.898794 0.866025 0.829038 0.788011 0.743145 0.694658 0.642788 0.587785 0.529919 0.469472 0.406737 0.34202 0.275637 0.207912 0.139173 0.069756

-1.47E-15 0.104528 0.207912 0.309017 0.406737 0.5 0.587785 0.669131 0.743145 0.809017 0.866025 0.913545 0.951057 0.978148 0.994522 1 0.994522 0.978148 0.951057 0.913545 0.866025 0.809017 0.743145 0.669131 0.587785 0.5 0.406737 0.309017 0.207912 0.104528 -2E-15 -0.10453 -0.20791 -0.30902 -0.40674 -0.5 -0.58779 -0.66913 -0.74314 -0.80902 -0.86603 -0.91355 -0.95106 -0.97815 -0.99452

-7.35E-16 0.05231 0.104323 0.155745 0.206285 0.255662 0.303604 0.349851 0.394156 0.436291 0.476045 0.513225 0.547664 0.579213 0.607749 0.633173 0.655412 0.674417 0.690166 0.702662 0.711933 0.718032 0.721034 0.721039 0.718167 0.712557 0.704369 0.693775 0.680967 0.666144 0.649519 0.631312 0.611748 0.591056 0.569467 0.54721 0.52451 0.501589 0.478658 0.455922 0.433571 0.411786 0.390729 0.370551 0.351381

405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449

7.068583 7.086037 7.10349 7.120943 7.138397 7.15585 7.173303 7.190757 7.20821 7.225663 7.243116 7.26057 7.278023 7.295476 7.31293 7.330383 7.347836 7.365289 7.382743 7.400196 7.417649 7.435103 7.452556 7.470009 7.487462 7.504916 7.522369 7.539822 7.557276 7.574729 7.592182 7.609636 7.627089 7.644542 7.661995 7.679449 7.696902 7.714355 7.731809 7.749262 7.766715 7.784168 7.801622 7.819075 7.836528

1 0.999391 0.997564 0.994522 0.990268 0.984808 0.978148 0.970296 0.961262 0.951057 0.939693 0.927184 0.913545 0.898794 0.882948 0.866025 0.848048 0.829038 0.809017 0.788011 0.766044 0.743145 0.71934 0.694658 0.669131 0.642788 0.615661 0.587785 0.559193 0.529919 0.5 0.469472 0.438371 0.406737 0.374607 0.34202 0.309017 0.275637 0.241922 0.207912 0.173648 0.139173 0.104528 0.069756 0.034899

1.1E-15 -0.06976 -0.13917 -0.20791 -0.27564 -0.34202 -0.40674 -0.46947 -0.52992 -0.58779 -0.64279 -0.69466 -0.74314 -0.78801 -0.82904 -0.86603 -0.89879 -0.92718 -0.95106 -0.9703 -0.98481 -0.99452 -0.99939 -0.99939 -0.99452 -0.98481 -0.9703 -0.95106 -0.92718 -0.89879 -0.86603 -0.82904 -0.78801 -0.74314 -0.69466 -0.64279 -0.58779 -0.52992 -0.46947 -0.40674 -0.34202 -0.27564 -0.20791 -0.13917 -0.06976

-1 -0.99452 -0.97815 -0.95106 -0.91355 -0.86603 -0.80902 -0.74314 -0.66913 -0.58779 -0.5 -0.40674 -0.30902 -0.20791 -0.10453 5.39E-15 0.104528 0.207912 0.309017 0.406737 0.5 0.587785 0.669131 0.743145 0.809017 0.866025 0.913545 0.951057 0.978148 0.994522 1 0.994522 0.978148 0.951057 0.913545 0.866025 0.809017 0.743145 0.669131 0.587785 0.5 0.406737 0.309017 0.207912 0.104528

0.333333 0.316503 0.300964 0.286774 0.273967 0.262561 0.252553 0.243923 0.236629 0.230618 0.225816 0.222138 0.219484 0.217742 0.216793 0.216506 0.216747 0.217375 0.218247 0.219221 0.220154 0.220906 0.221344 0.221339 0.220771 0.219529 0.217514 0.214638 0.210825 0.206015 0.20016 0.19323 0.185207 0.176092 0.165896 0.154651 0.142398 0.129196 0.115115 0.100236 0.084652 0.068467 0.051789 0.034737 0.017432

450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494

7.853982 7.871435 7.888888 7.906342 7.923795 7.941248 7.958701 7.976155 7.993608 8.011061 8.028515 8.045968 8.063421 8.080874 8.098328 8.115781 8.133234 8.150688 8.168141 8.185594 8.203047 8.220501 8.237954 8.255407 8.272861 8.290314 8.307767 8.325221 8.342674 8.360127 8.37758 8.395034 8.412487 8.42994 8.447394 8.464847 8.4823 8.499753 8.517207 8.53466 8.552113 8.569567 8.58702 8.604473 8.621927

6.12E-16 -0.0349 -0.06976 -0.10453 -0.13917 -0.17365 -0.20791 -0.24192 -0.27564 -0.30902 -0.34202 -0.37461 -0.40674 -0.43837 -0.46947 -0.5 -0.52992 -0.55919 -0.58779 -0.61566 -0.64279 -0.66913 -0.69466 -0.71934 -0.74314 -0.76604 -0.78801 -0.80902 -0.82904 -0.84805 -0.86603 -0.88295 -0.89879 -0.91355 -0.92718 -0.93969 -0.95106 -0.96126 -0.9703 -0.97815 -0.98481 -0.99027 -0.99452 -0.99756 -0.99939

-1.22E-15 0.069756 0.139173 0.207912 0.275637 0.34202 0.406737 0.469472 0.529919 0.587785 0.642788 0.694658 0.743145 0.788011 0.829038 0.866025 0.898794 0.927184 0.951057 0.970296 0.984808 0.994522 0.999391 0.999391 0.994522 0.984808 0.970296 0.951057 0.927184 0.898794 0.866025 0.829038 0.788011 0.743145 0.694658 0.642788 0.587785 0.529919 0.469472 0.406737 0.34202 0.275637 0.207912 0.139173 0.069756

5.39E-15 -0.10453 -0.20791 -0.30902 -0.40674 -0.5 -0.58779 -0.66913 -0.74314 -0.80902 -0.86603 -0.91355 -0.95106 -0.97815 -0.99452 -1 -0.99452 -0.97815 -0.95106 -0.91355 -0.86603 -0.80902 -0.74314 -0.66913 -0.58779 -0.5 -0.40674 -0.30902 -0.20791 -0.10453 -2E-15 0.104528 0.207912 0.309017 0.406737 0.5 0.587785 0.669131 0.743145 0.809017 0.866025 0.913545 0.951057 0.978148 0.994522

8.98E-16 -0.01743 -0.03474 -0.05179 -0.06847 -0.08465 -0.10024 -0.11511 -0.1292 -0.1424 -0.15465 -0.1659 -0.17609 -0.18521 -0.19323 -0.20016 -0.20601 -0.21083 -0.21464 -0.21751 -0.21953 -0.22077 -0.22134 -0.22134 -0.22091 -0.22015 -0.21922 -0.21825 -0.21737 -0.21675 -0.21651 -0.21679 -0.21774 -0.21948 -0.22214 -0.22582 -0.23062 -0.23663 -0.24392 -0.25255 -0.26256 -0.27397 -0.28677 -0.30096 -0.3165

495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539

8.63938 8.656833 8.674286 8.69174 8.709193 8.726646 8.7441 8.761553 8.779006 8.796459 8.813913 8.831366 8.848819 8.866273 8.883726 8.901179 8.918632 8.936086 8.953539 8.970992 8.988446 9.005899 9.023352 9.040806 9.058259 9.075712 9.093165 9.110619 9.128072 9.145525 9.162979 9.180432 9.197885 9.215338 9.232792 9.250245 9.267698 9.285152 9.302605 9.320058 9.337511 9.354965 9.372418 9.389871 9.407325

-1 -0.99939 -0.99756 -0.99452 -0.99027 -0.98481 -0.97815 -0.9703 -0.96126 -0.95106 -0.93969 -0.92718 -0.91355 -0.89879 -0.88295 -0.86603 -0.84805 -0.82904 -0.80902 -0.78801 -0.76604 -0.74314 -0.71934 -0.69466 -0.66913 -0.64279 -0.61566 -0.58779 -0.55919 -0.52992 -0.5 -0.46947 -0.43837 -0.40674 -0.37461 -0.34202 -0.30902 -0.27564 -0.24192 -0.20791 -0.17365 -0.13917 -0.10453 -0.06976 -0.0349

-2.21E-15 -0.06976 -0.13917 -0.20791 -0.27564 -0.34202 -0.40674 -0.46947 -0.52992 -0.58779 -0.64279 -0.69466 -0.74314 -0.78801 -0.82904 -0.86603 -0.89879 -0.92718 -0.95106 -0.9703 -0.98481 -0.99452 -0.99939 -0.99939 -0.99452 -0.98481 -0.9703 -0.95106 -0.92718 -0.89879 -0.86603 -0.82904 -0.78801 -0.74314 -0.69466 -0.64279 -0.58779 -0.52992 -0.46947 -0.40674 -0.34202 -0.27564 -0.20791 -0.13917 -0.06976

1 0.994522 0.978148 0.951057 0.913545 0.866025 0.809017 0.743145 0.669131 0.587785 0.5 0.406737 0.309017 0.207912 0.104528 -1.47E-15 -0.10453 -0.20791 -0.30902 -0.40674 -0.5 -0.58779 -0.66913 -0.74314 -0.80902 -0.86603 -0.91355 -0.95106 -0.97815 -0.99452 -1 -0.99452 -0.97815 -0.95106 -0.91355 -0.86603 -0.80902 -0.74314 -0.66913 -0.58779 -0.5 -0.40674 -0.30902 -0.20791 -0.10453

-0.33333 -0.35138 -0.37055 -0.39073 -0.41179 -0.43357 -0.45592 -0.47866 -0.50159 -0.52451 -0.54721 -0.56947 -0.59106 -0.61175 -0.63131 -0.64952 -0.66614 -0.68097 -0.69378 -0.70437 -0.71256 -0.71817 -0.72104 -0.72103 -0.71803 -0.71193 -0.70266 -0.69017 -0.67442 -0.65541 -0.63317 -0.60775 -0.57921 -0.54766 -0.51323 -0.47604 -0.43629 -0.39416 -0.34985 -0.3036 -0.25566 -0.20629 -0.15574 -0.10432 -0.05231

540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574

9.424778 9.442231 9.459685 9.477138 9.494591 9.512044 9.529498 9.546951 9.564404 9.581858 9.599311 9.616764 9.634217 9.651671 9.669124 9.686577 9.704031 9.721484 9.738937 9.756391 9.773844 9.791297 9.80875 9.826204 9.843657 9.86111 9.878564 9.896017 9.91347 9.930923 9.948377 9.96583 9.983283 10.00074 10.01819

-7.35E-16 0.034899 0.069756 0.104528 0.139173 0.173648 0.207912 0.241922 0.275637 0.309017 0.34202 0.374607 0.406737 0.438371 0.469472 0.5 0.529919 0.559193 0.587785 0.615661 0.642788 0.669131 0.694658 0.71934 0.743145 0.766044 0.788011 0.809017 0.829038 0.848048 0.866025 0.882948 0.898794 0.913545 0.927184

-1.47E-15 0.069756 0.139173 0.207912 0.275637 0.34202 0.406737 0.469472 0.529919 0.587785 0.642788 0.694658 0.743145 0.788011 0.829038 0.866025 0.898794 0.927184 0.951057 0.970296 0.984808 0.994522 0.999391 0.999391 0.994522 0.984808 0.970296 0.951057 0.927184 0.898794 0.866025 0.829038 0.788011 0.743145 0.694658

-2.2E-15 0.104528 0.207912 0.309017 0.406737 0.5 0.587785 0.669131 0.743145 0.809017 0.866025 0.913545 0.951057 0.978148 0.994522 1 0.994522 0.978148 0.951057 0.913545 0.866025 0.809017 0.743145 0.669131 0.587785 0.5 0.406737 0.309017 0.207912 0.104528 5.88E-15 -0.10453 -0.20791 -0.30902 -0.40674

-1.1E-15 0.05231 0.104323 0.155745 0.206285 0.255662 0.303604 0.349851 0.394156 0.436291 0.476045 0.513225 0.547664 0.579213 0.607749 0.633173 0.655412 0.674417 0.690166 0.702662 0.711933 0.718032 0.721034 0.721039 0.718167 0.712557 0.704369 0.693775 0.680967 0.666144 0.649519 0.631312 0.611748 0.591056 0.569467

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