The question
A lithium-ion battery holds a little less charge after every charge and discharge. If a computer sees only the first part of one battery’s record, can it predict how the rest of the decline will go?
The answer
Only for a while: a forecast can stay close at first and then miss later changes in the decline. Move the start line, then reveal the measurements to see where it holds and where it drifts.
Real batteryComputer’s prediction
Drag the dashed line on the chart, or use this slider, to choose where the forecast starts. Each start point has its own saved forecast, from cycle 50 to 975 in steps of 25.
Future hidden
The black line is what we let the computer see. The blue line is its guess about the rest of this battery’s life.
Capacity is the charge a battery delivers in one full discharge. The chart shows it as a percentage of a fixed reference, 4,100 ampere-seconds (about 1.14 Ah), close to what these batteries delivered when new. This tracks long-term ageing, not how much charge is left at a given moment. One cycle is one full charge followed by one full discharge.
How this figure was made, and the data
The forecasts come from an LSTM, a neural network that reads a sequence one value at a time and keeps a running memory of what it has seen. It was trained on batteries CS2_35, CS2_36 and CS2_37; battery CS2_38, shown here, was left out of training entirely. At the chosen start cycle the model receives the last 30 measured values and predicts the next one; each prediction is then fed back in as input for the one after (training seed 123). The start line snaps to the 38 saved forecasts, from cycle 50 to 975 in steps of 25.
Forecast starts after cycle 300.
| Cycle | Measured capacity ÷ reference | Forecast capacity ÷ reference |
|---|---|---|
| 1 | 0.98953 | — |
| 2 | 0.98925 | — |
| 3 | 0.9887 | — |
| 4 | 0.98724 | — |
| 5 | 0.98641 | — |
| 6 | 0.97918 | — |
| 7 | 0.9659 | — |
| 8 | 0.96431 | — |
| 9 | 0.96291 | — |
| 10 | 0.95686 | — |
| 11 | 0.96406 | — |
| 12 | 0.96511 | — |
| 13 | 0.96861 | — |
| 14 | 0.96837 | — |
| 15 | 0.9648 | — |
| 16 | 0.96463 | — |
| 17 | 0.96425 | — |
| 18 | 0.96398 | — |
| 19 | 0.96355 | — |
| 20 | 0.96315 | — |
| 21 | 0.9628 | — |
| 22 | 0.96249 | — |
| 23 | 0.96221 | — |
| 24 | 0.96192 | — |
| 25 | 0.96155 | — |
| 26 | 0.96125 | — |
| 27 | 0.94712 | — |
| 28 | 0.94077 | — |
| 29 | 0.93936 | — |
| 30 | 0.9383 | — |
| 31 | 0.93716 | — |
| 32 | 0.94639 | — |
| 33 | 0.94741 | — |
| 34 | 0.93746 | — |
| 35 | 0.93078 | — |
| 36 | 0.9307 | — |
| 37 | 0.93005 | — |
| 38 | 0.9298 | — |
| 39 | 0.93861 | — |
| 40 | 0.93961 | — |
| 41 | 0.92974 | — |
| 42 | 0.92414 | — |
| 43 | 0.92399 | — |
| 44 | 0.92403 | — |
| 45 | 0.92248 | — |
| 46 | 0.93156 | — |
| 47 | 0.93616 | — |
| 48 | 0.92396 | — |
| 49 | 0.92239 | — |
| 50 | 0.92187 | — |
| 51 | 0.92176 | — |
| 52 | 0.92174 | — |
| 53 | 0.95733 | — |
| 54 | 0.95786 | — |
| 55 | 0.9626 | — |
| 56 | 0.96312 | — |
| 57 | 0.95517 | — |
| 58 | 0.94894 | — |
| 59 | 0.94874 | — |
| 60 | 0.94699 | — |
| 61 | 0.94701 | — |
| 62 | 0.94663 | — |
| 63 | 0.94037 | — |
| 64 | 0.93367 | — |
| 65 | 0.93331 | — |
| 66 | 0.9316 | — |
| 67 | 0.92401 | — |
| 68 | 0.9311 | — |
| 69 | 0.93014 | — |
| 70 | 0.9232 | — |
| 71 | 0.9231 | — |
| 72 | 0.92289 | — |
| 73 | 0.91729 | — |
| 74 | 0.9238 | — |
| 75 | 0.92382 | — |
| 76 | 0.92329 | — |
| 77 | 0.92288 | — |
| 78 | 0.92247 | — |
| 79 | 0.92254 | — |
| 80 | 0.92215 | — |
| 81 | 0.9175 | — |
| 82 | 0.91728 | — |
| 83 | 0.9169 | — |
| 84 | 0.91641 | — |
| 85 | 0.916 | — |
| 86 | 0.77848 | — |
| 87 | 0.91574 | — |
| 88 | 0.91502 | — |
| 89 | 0.9146 | — |
| 90 | 0.9143 | — |
| 91 | 0.90081 | — |
| 92 | 0.90019 | — |
| 93 | 0.89965 | — |
| 94 | 0.91408 | — |
| 95 | 0.9087 | — |
| 96 | 0.90922 | — |
| 97 | 0.91716 | — |
| 98 | 0.91749 | — |
| 99 | 0.91396 | — |
| 100 | 0.90872 | — |
| 101 | 0.90821 | — |
| 102 | 0.90758 | — |
| 103 | 0.90658 | — |
| 104 | 0.91453 | — |
| 105 | 0.91487 | — |
| 106 | 0.90698 | — |
| 107 | 0.90143 | — |
| 108 | 0.90015 | — |
| 109 | 0.90023 | — |
| 110 | 0.89856 | — |
| 111 | 0.90768 | — |
| 112 | 0.90805 | — |
| 113 | 0.89991 | — |
| 114 | 0.89844 | — |
| 115 | 0.89827 | — |
| 116 | 0.89338 | — |
| 117 | 0.88523 | — |
| 118 | 0.76983 | — |
| 119 | 0.90004 | — |
| 120 | 0.90141 | — |
| 121 | 0.90676 | — |
| 122 | 0.90727 | — |
| 123 | 0.90788 | — |
| 124 | 0.90826 | — |
| 125 | 0.90868 | — |
| 126 | 0.90882 | — |
| 127 | 0.90906 | — |
| 128 | 0.90936 | — |
| 129 | 0.90944 | — |
| 130 | 0.90947 | — |
| 131 | 0.90945 | — |
| 132 | 0.90946 | — |
| 133 | 0.90948 | — |
| 134 | 0.90948 | — |
| 135 | 0.89339 | — |
| 136 | 0.89339 | — |
| 137 | 0.89284 | — |
| 138 | 0.88414 | — |
| 139 | 0.89811 | — |
| 140 | 0.90142 | — |
| 141 | 0.9056 | — |
| 142 | 0.8908 | — |
| 143 | 0.8922 | — |
| 144 | 0.885 | — |
| 145 | 0.8902 | — |
| 146 | 0.89708 | — |
| 147 | 0.89736 | — |
| 148 | 0.88306 | — |
| 149 | 0.88245 | — |
| 150 | 0.88332 | — |
| 151 | 0.88182 | — |
| 152 | 0.87675 | — |
| 153 | 0.89019 | — |
| 154 | 0.89087 | — |
| 155 | 0.88194 | — |
| 156 | 0.87644 | — |
| 157 | 0.88161 | — |
| 158 | 0.87683 | — |
| 159 | 0.87425 | — |
| 160 | 0.88334 | — |
| 161 | 0.8889 | — |
| 162 | 0.88377 | — |
| 163 | 0.87404 | — |
| 164 | 0.87412 | — |
| 165 | 0.87417 | — |
| 166 | 0.87399 | — |
| 167 | 0.87549 | — |
| 168 | 0.88299 | — |
| 169 | 0.88372 | — |
| 170 | 0.88769 | — |
| 171 | 0.888 | — |
| 172 | 0.88825 | — |
| 173 | 0.88881 | — |
| 174 | 0.88903 | — |
| 175 | 0.88905 | — |
| 176 | 0.88909 | — |
| 177 | 0.88909 | — |
| 178 | 0.88913 | — |
| 179 | 0.88923 | — |
| 180 | 0.88952 | — |
| 181 | 0.88972 | — |
| 182 | 0.89041 | — |
| 183 | 0.89059 | — |
| 184 | 0.87605 | — |
| 185 | 0.87521 | — |
| 186 | 0.87501 | — |
| 187 | 0.87488 | — |
| 188 | 0.87361 | — |
| 189 | 0.8825 | — |
| 190 | 0.88336 | — |
| 191 | 0.87526 | — |
| 192 | 0.86916 | — |
| 193 | 0.87579 | — |
| 194 | 0.88835 | — |
| 195 | 0.88931 | — |
| 196 | 0.88175 | — |
| 197 | 0.87517 | — |
| 198 | 0.87591 | — |
| 199 | 0.87631 | — |
| 200 | 0.87534 | — |
| 201 | 0.88213 | — |
| 202 | 0.88425 | — |
| 203 | 0.88888 | — |
| 204 | 0.87506 | — |
| 205 | 0.8752 | — |
| 206 | 0.87487 | — |
| 207 | 0.8746 | — |
| 208 | 0.88352 | — |
| 209 | 0.88864 | — |
| 210 | 0.8816 | — |
| 211 | 0.87479 | — |
| 212 | 0.87653 | — |
| 213 | 0.88357 | — |
| 214 | 0.88906 | — |
| 215 | 0.88915 | — |
| 216 | 0.88931 | — |
| 217 | 0.88955 | — |
| 218 | 0.88971 | — |
| 219 | 0.88994 | — |
| 220 | 0.89053 | — |
| 221 | 0.89039 | — |
| 222 | 0.89041 | — |
| 223 | 0.89045 | — |
| 224 | 0.89057 | — |
| 225 | 0.89067 | — |
| 226 | 0.8908 | — |
| 227 | 0.8908 | — |
| 228 | 0.89082 | — |
| 229 | 0.89086 | — |
| 230 | 0.89083 | — |
| 231 | 0.87711 | — |
| 232 | 0.88161 | — |
| 233 | 0.87686 | — |
| 234 | 0.8751 | — |
| 235 | 0.87416 | — |
| 236 | 0.88293 | — |
| 237 | 0.88396 | — |
| 238 | 0.87685 | — |
| 239 | 0.87416 | — |
| 240 | 0.87583 | — |
| 241 | 0.87579 | — |
| 242 | 0.86912 | — |
| 243 | 0.88215 | — |
| 244 | 0.88291 | — |
| 245 | 0.87584 | — |
| 246 | 0.86882 | — |
| 247 | 0.87393 | — |
| 248 | 0.86825 | — |
| 249 | 0.86872 | — |
| 250 | 0.87447 | — |
| 251 | 0.87648 | — |
| 252 | 0.88121 | — |
| 253 | 0.86778 | — |
| 254 | 0.86756 | — |
| 255 | 0.86845 | — |
| 256 | 0.86728 | — |
| 257 | 0.86736 | — |
| 258 | 0.87585 | — |
| 259 | 0.88073 | — |
| 260 | 0.86817 | — |
| 261 | 0.86693 | — |
| 262 | 0.86679 | — |
| 263 | 0.86694 | — |
| 264 | 0.87499 | — |
| 265 | 0.86797 | — |
| 266 | 0.8764 | — |
| 267 | 0.87662 | — |
| 268 | 0.86722 | — |
| 269 | 0.86711 | — |
| 270 | 0.86633 | — |
| 271 | 0.86695 | — |
| 272 | 0.86652 | — |
| 273 | 0.86641 | — |
| 274 | 0.8744 | — |
| 275 | 0.87544 | — |
| 276 | 0.86915 | — |
| 277 | 0.86109 | — |
| 278 | 0.86644 | — |
| 279 | 0.86091 | — |
| 280 | 0.86095 | — |
| 281 | 0.86635 | — |
| 282 | 0.86823 | — |
| 283 | 0.86878 | — |
| 284 | 0.85979 | — |
| 285 | 0.85928 | — |
| 286 | 0.85923 | — |
| 287 | 0.8588 | — |
| 288 | 0.85318 | — |
| 289 | 0.86604 | — |
| 290 | 0.86661 | — |
| 291 | 0.86687 | — |
| 292 | 0.86709 | — |
| 293 | 0.86738 | — |
| 294 | 0.86781 | — |
| 295 | 0.86824 | — |
| 296 | 0.86824 | — |
| 297 | 0.86839 | — |
| 298 | 0.8683 | — |
| 299 | 0.86809 | — |
| 300 | 0.86843 | — |
| 301 | 0.86845 | 0.86687 |
| 302 | 0.86852 | 0.86666 |
| 303 | 0.87294 | 0.86644 |
| 304 | 0.87317 | 0.8662 |
| 305 | 0.87322 | 0.86596 |
| 306 | 0.85965 | 0.86572 |
| 307 | 0.85857 | 0.86547 |
| 308 | 0.85956 | 0.86522 |
| 309 | 0.86566 | 0.86498 |
| 310 | 0.86587 | 0.86473 |
| 311 | 0.85127 | 0.86448 |
| 312 | 0.85143 | 0.86424 |
| 313 | 0.85112 | 0.86399 |
| 314 | 0.85103 | 0.86375 |
| 315 | 0.84493 | 0.8635 |
| 316 | 0.85859 | 0.86326 |
| 317 | 0.86036 | 0.86302 |
| 318 | 0.85949 | 0.86277 |
| 319 | 0.86633 | 0.86253 |
| 320 | 0.86733 | 0.86229 |
| 321 | 0.86757 | 0.86205 |
| 322 | 0.85323 | 0.86181 |
| 323 | 0.85319 | 0.86157 |
| 324 | 0.85303 | 0.86133 |
| 325 | 0.85252 | 0.86109 |
| 326 | 0.85131 | 0.86085 |
| 327 | 0.85958 | 0.86061 |
| 328 | 0.86 | 0.86038 |
| 329 | 0.86021 | 0.86014 |
| 330 | 0.86028 | 0.8599 |
| 331 | 0.86071 | 0.85967 |
| 332 | 0.86561 | 0.85943 |
| 333 | 0.86576 | 0.8592 |
| 334 | 0.86087 | 0.85896 |
| 335 | 0.86076 | 0.85873 |
| 336 | 0.86062 | 0.8585 |
| 337 | 0.86044 | 0.85826 |
| 338 | 0.86037 | 0.85803 |
| 339 | 0.86034 | 0.8578 |
| 340 | 0.86042 | 0.85757 |
| 341 | 0.8604 | 0.85734 |
| 342 | 0.86036 | 0.8571 |
| 343 | 0.86023 | 0.85687 |
| 344 | 0.85131 | 0.85664 |
| 345 | 0.84448 | 0.85642 |
| 346 | 0.84443 | 0.85619 |
| 347 | 0.84364 | 0.85596 |
| 348 | 0.84287 | 0.85573 |
| 349 | 0.85075 | 0.8555 |
| 350 | 0.85198 | 0.85527 |
| 351 | 0.85249 | 0.85505 |
| 352 | 0.8429 | 0.85482 |
| 353 | 0.83708 | 0.85459 |
| 354 | 0.83708 | 0.85437 |
| 355 | 0.83709 | 0.85414 |
| 356 | 0.83681 | 0.85392 |
| 357 | 0.84997 | 0.85369 |
| 358 | 0.85044 | 0.85347 |
| 359 | 0.84269 | 0.85324 |
| 360 | 0.83596 | 0.85302 |
| 361 | 0.83655 | 0.85279 |
| 362 | 0.83511 | 0.85257 |
| 363 | 0.83546 | 0.85235 |
| 364 | 0.84236 | 0.85212 |
| 365 | 0.84378 | 0.8519 |
| 366 | 0.84444 | 0.85168 |
| 367 | 0.84283 | 0.85146 |
| 368 | 0.83713 | 0.85123 |
| 369 | 0.84409 | 0.85101 |
| 370 | 0.84998 | 0.85079 |
| 371 | 0.84356 | 0.85057 |
| 372 | 0.83519 | 0.85035 |
| 373 | 0.83537 | 0.85013 |
| 374 | 0.83514 | 0.84991 |
| 375 | 0.83478 | 0.84969 |
| 376 | 0.83515 | 0.84947 |
| 377 | 0.84262 | 0.84925 |
| 378 | 0.84281 | 0.84903 |
| 379 | 0.84303 | 0.84881 |
| 380 | 0.84319 | 0.84859 |
| 381 | 0.84399 | 0.84837 |
| 382 | 0.84434 | 0.84815 |
| 383 | 0.84446 | 0.84793 |
| 384 | 0.8446 | 0.84772 |
| 385 | 0.84468 | 0.8475 |
| 386 | 0.84475 | 0.84728 |
| 387 | 0.84483 | 0.84706 |
| 388 | 0.84492 | 0.84685 |
| 389 | 0.84263 | 0.84663 |
| 390 | 0.83452 | 0.84641 |
| 391 | 0.82868 | 0.84619 |
| 392 | 0.82836 | 0.84598 |
| 393 | 0.82813 | 0.84576 |
| 394 | 0.82886 | 0.84554 |
| 395 | 0.83623 | 0.84533 |
| 396 | 0.84188 | 0.84511 |
| 397 | 0.82848 | 0.84489 |
| 398 | 0.82735 | 0.84468 |
| 399 | 0.82824 | 0.84446 |
| 400 | 0.8277 | 0.84425 |
| 401 | 0.82706 | 0.84403 |
| 402 | 0.83448 | 0.84381 |
| 403 | 0.8356 | 0.8436 |
| 404 | 0.83621 | 0.84338 |
| 405 | 0.82744 | 0.84317 |
| 406 | 0.82744 | 0.84295 |
| 407 | 0.82732 | 0.84274 |
| 408 | 0.8272 | 0.84252 |
| 409 | 0.82685 | 0.84231 |
| 410 | 0.83488 | 0.84209 |
| 411 | 0.82898 | 0.84188 |
| 412 | 0.83458 | 0.84166 |
| 413 | 0.82897 | 0.84145 |
| 414 | 0.82767 | 0.84123 |
| 415 | 0.82717 | 0.84102 |
| 416 | 0.82715 | 0.8408 |
| 417 | 0.82712 | 0.84059 |
| 418 | 0.82685 | 0.84038 |
| 419 | 0.82094 | 0.84016 |
| 420 | 0.82882 | 0.83995 |
| 421 | 0.8345 | 0.83973 |
| 422 | 0.83488 | 0.83952 |
| 423 | 0.83517 | 0.8393 |
| 424 | 0.8353 | 0.83909 |
| 425 | 0.83546 | 0.83887 |
| 426 | 0.83559 | 0.83866 |
| 427 | 0.82851 | 0.83845 |
| 428 | 0.83456 | 0.83823 |
| 429 | 0.83527 | 0.83802 |
| 430 | 0.83563 | 0.8378 |
| 431 | 0.82877 | 0.83759 |
| 432 | 0.83408 | 0.83737 |
| 433 | 0.83411 | 0.83716 |
| 434 | 0.83477 | 0.83694 |
| 435 | 0.83444 | 0.83673 |
| 436 | 0.8365 | 0.83651 |
| 437 | 0.84168 | 0.8363 |
| 438 | 0.8353 | 0.83608 |
| 439 | 0.82899 | 0.83587 |
| 440 | 0.83409 | 0.83566 |
| 441 | 0.8342 | 0.83544 |
| 442 | 0.82898 | 0.83523 |
| 443 | 0.83564 | 0.83501 |
| 444 | 0.83612 | 0.83479 |
| 445 | 0.82898 | 0.83458 |
| 446 | 0.8277 | 0.83436 |
| 447 | 0.82808 | 0.83415 |
| 448 | 0.82787 | 0.83393 |
| 449 | 0.82696 | 0.83372 |
| 450 | 0.83446 | 0.8335 |
| 451 | 0.83471 | 0.83329 |
| 452 | 0.82743 | 0.83307 |
| 453 | 0.82677 | 0.83285 |
| 454 | 0.82723 | 0.83264 |
| 455 | 0.8271 | 0.83242 |
| 456 | 0.82759 | 0.8322 |
| 457 | 0.83383 | 0.83199 |
| 458 | 0.83433 | 0.83177 |
| 459 | 0.83457 | 0.83155 |
| 460 | 0.83471 | 0.83134 |
| 461 | 0.83479 | 0.83112 |
| 462 | 0.83496 | 0.8309 |
| 463 | 0.8354 | 0.83069 |
| 464 | 0.83562 | 0.83047 |
| 465 | 0.83568 | 0.83025 |
| 466 | 0.83575 | 0.83003 |
| 467 | 0.83575 | 0.82981 |
| 468 | 0.83573 | 0.8296 |
| 469 | 0.83562 | 0.82938 |
| 470 | 0.83561 | 0.82916 |
| 471 | 0.83563 | 0.82894 |
| 472 | 0.83564 | 0.82872 |
| 473 | 0.83521 | 0.8285 |
| 474 | 0.83464 | 0.82828 |
| 475 | 0.83599 | 0.82806 |
| 476 | 0.83672 | 0.82784 |
| 477 | 0.83684 | 0.82762 |
| 478 | 0.82864 | 0.8274 |
| 479 | 0.82876 | 0.82718 |
| 480 | 0.82894 | 0.82696 |
| 481 | 0.82866 | 0.82674 |
| 482 | 0.82751 | 0.82652 |
| 483 | 0.83452 | 0.82629 |
| 484 | 0.8348 | 0.82607 |
| 485 | 0.83404 | 0.82585 |
| 486 | 0.8268 | 0.82563 |
| 487 | 0.82727 | 0.82541 |
| 488 | 0.82716 | 0.82518 |
| 489 | 0.82729 | 0.82496 |
| 490 | 0.82667 | 0.82474 |
| 491 | 0.82893 | 0.82451 |
| 492 | 0.83406 | 0.82429 |
| 493 | 0.82695 | 0.82406 |
| 494 | 0.82102 | 0.82384 |
| 495 | 0.82624 | 0.82361 |
| 496 | 0.82094 | 0.82339 |
| 497 | 0.82091 | 0.82316 |
| 498 | 0.82649 | 0.82294 |
| 499 | 0.82774 | 0.82271 |
| 500 | 0.82807 | 0.82248 |
| 501 | 0.82025 | 0.82226 |
| 502 | 0.81958 | 0.82203 |
| 503 | 0.81974 | 0.8218 |
| 504 | 0.8199 | 0.82157 |
| 505 | 0.81924 | 0.82134 |
| 506 | 0.82616 | 0.82112 |
| 507 | 0.82658 | 0.82089 |
| 508 | 0.82679 | 0.82066 |
| 509 | 0.82693 | 0.82043 |
| 510 | 0.82701 | 0.8202 |
| 511 | 0.82712 | 0.81997 |
| 512 | 0.82737 | 0.81974 |
| 513 | 0.82737 | 0.8195 |
| 514 | 0.8273 | 0.81927 |
| 515 | 0.82726 | 0.81904 |
| 516 | 0.82719 | 0.81881 |
| 517 | 0.82706 | 0.81857 |
| 518 | 0.82699 | 0.81834 |
| 519 | 0.82696 | 0.81811 |
| 520 | 0.82695 | 0.81787 |
| 521 | 0.82689 | 0.81764 |
| 522 | 0.82694 | 0.8174 |
| 523 | 0.82688 | 0.81717 |
| 524 | 0.82632 | 0.81693 |
| 525 | 0.82727 | 0.81669 |
| 526 | 0.82779 | 0.81646 |
| 527 | 0.82783 | 0.81622 |
| 528 | 0.81983 | 0.81598 |
| 529 | 0.81916 | 0.81574 |
| 530 | 0.81859 | 0.8155 |
| 531 | 0.81853 | 0.81526 |
| 532 | 0.82043 | 0.81502 |
| 533 | 0.82602 | 0.81478 |
| 534 | 0.82016 | 0.81454 |
| 535 | 0.81198 | 0.8143 |
| 536 | 0.8112 | 0.81406 |
| 537 | 0.81905 | 0.81382 |
| 538 | 0.81948 | 0.81357 |
| 539 | 0.81243 | 0.81333 |
| 540 | 0.80484 | 0.81309 |
| 541 | 0.81085 | 0.81284 |
| 542 | 0.81066 | 0.8126 |
| 543 | 0.79678 | 0.81235 |
| 544 | 0.80266 | 0.8121 |
| 545 | 0.81098 | 0.81186 |
| 546 | 0.8116 | 0.81161 |
| 547 | 0.7968 | 0.81136 |
| 548 | 0.79509 | 0.81111 |
| 549 | 0.79536 | 0.81086 |
| 550 | 0.78874 | 0.81061 |
| 551 | 0.78824 | 0.81036 |
| 552 | 0.79567 | 0.81011 |
| 553 | 0.80328 | 0.80986 |
| 554 | 0.80419 | 0.80961 |
| 555 | 0.80476 | 0.80935 |
| 556 | 0.81017 | 0.8091 |
| 557 | 0.81064 | 0.80885 |
| 558 | 0.81073 | 0.80859 |
| 559 | 0.81083 | 0.80833 |
| 560 | 0.81055 | 0.80808 |
| 561 | 0.81043 | 0.80782 |
| 562 | 0.81037 | 0.80756 |
| 563 | 0.81031 | 0.8073 |
| 564 | 0.81022 | 0.80704 |
| 565 | 0.81029 | 0.80679 |
| 566 | 0.81031 | 0.80652 |
| 567 | 0.79632 | 0.80626 |
| 568 | 0.79512 | 0.806 |
| 569 | 0.80296 | 0.80574 |
| 570 | 0.80406 | 0.80547 |
| 571 | 0.80469 | 0.80521 |
| 572 | 0.78863 | 0.80494 |
| 573 | 0.78732 | 0.80468 |
| 574 | 0.78071 | 0.80441 |
| 575 | 0.78051 | 0.80414 |
| 576 | 0.78839 | 0.80388 |
| 577 | 0.79537 | 0.80361 |
| 578 | 0.79593 | 0.80334 |
| 579 | 0.78063 | 0.80307 |
| 580 | 0.77932 | 0.8028 |
| 581 | 0.77909 | 0.80252 |
| 582 | 0.78078 | 0.80225 |
| 583 | 0.77949 | 0.80198 |
| 584 | 0.77918 | 0.8017 |
| 585 | 0.77268 | 0.80142 |
| 586 | 0.78765 | 0.80115 |
| 587 | 0.78878 | 0.80087 |
| 588 | 0.78073 | 0.80059 |
| 589 | 0.77267 | 0.80031 |
| 590 | 0.77885 | 0.80003 |
| 591 | 0.77266 | 0.79975 |
| 592 | 0.77238 | 0.79947 |
| 593 | 0.77204 | 0.79919 |
| 594 | 0.7807 | 0.7989 |
| 595 | 0.78657 | 0.79862 |
| 596 | 0.77265 | 0.79833 |
| 597 | 0.77149 | 0.79804 |
| 598 | 0.77135 | 0.79776 |
| 599 | 0.76459 | 0.79747 |
| 600 | 0.76458 | 0.79718 |
| 601 | 0.76459 | 0.79689 |
| 602 | 0.77862 | 0.79659 |
| 603 | 0.77915 | 0.7963 |
| 604 | 0.7646 | 0.79601 |
| 605 | 0.76398 | 0.79571 |
| 606 | 0.7646 | 0.79542 |
| 607 | 0.76434 | 0.79512 |
| 608 | 0.76426 | 0.79482 |
| 609 | 0.76444 | 0.79452 |
| 610 | 0.77256 | 0.79422 |
| 611 | 0.77264 | 0.79392 |
| 612 | 0.76459 | 0.79362 |
| 613 | 0.76363 | 0.79331 |
| 614 | 0.76381 | 0.79301 |
| 615 | 0.76364 | 0.7927 |
| 616 | 0.76344 | 0.79239 |
| 617 | 0.76378 | 0.79209 |
| 618 | 0.77138 | 0.79178 |
| 619 | 0.77178 | 0.79147 |
| 620 | 0.77203 | 0.79115 |
| 621 | 0.77209 | 0.79084 |
| 622 | 0.77209 | 0.79053 |
| 623 | 0.77216 | 0.79021 |
| 624 | 0.77213 | 0.78989 |
| 625 | 0.77265 | 0.78957 |
| 626 | 0.77266 | 0.78925 |
| 627 | 0.77265 | 0.78893 |
| 628 | 0.77263 | 0.78861 |
| 629 | 0.77262 | 0.78829 |
| 630 | 0.77274 | 0.78796 |
| 631 | 0.77123 | 0.78764 |
| 632 | 0.76453 | 0.78731 |
| 633 | 0.77084 | 0.78698 |
| 634 | 0.7725 | 0.78665 |
| 635 | 0.77258 | 0.78632 |
| 636 | 0.76363 | 0.78598 |
| 637 | 0.75656 | 0.78565 |
| 638 | 0.75657 | 0.78531 |
| 639 | 0.75652 | 0.78498 |
| 640 | 0.7559 | 0.78464 |
| 641 | 0.75656 | 0.7843 |
| 642 | 0.76413 | 0.78396 |
| 643 | 0.7644 | 0.78361 |
| 644 | 0.75579 | 0.78327 |
| 645 | 0.74857 | 0.78292 |
| 646 | 0.75528 | 0.78257 |
| 647 | 0.74854 | 0.78222 |
| 648 | 0.74855 | 0.78187 |
| 649 | 0.74854 | 0.78152 |
| 650 | 0.75661 | 0.78116 |
| 651 | 0.75575 | 0.78081 |
| 652 | 0.74769 | 0.78045 |
| 653 | 0.74751 | 0.78009 |
| 654 | 0.74767 | 0.77973 |
| 655 | 0.74051 | 0.77937 |
| 656 | 0.7404 | 0.779 |
| 657 | 0.74856 | 0.77864 |
| 658 | 0.74856 | 0.77827 |
| 659 | 0.75517 | 0.7779 |
| 660 | 0.73958 | 0.77753 |
| 661 | 0.74007 | 0.77715 |
| 662 | 0.74012 | 0.77678 |
| 663 | 0.73967 | 0.7764 |
| 664 | 0.74051 | 0.77602 |
| 665 | 0.74768 | 0.77564 |
| 666 | 0.74799 | 0.77526 |
| 667 | 0.74822 | 0.77488 |
| 668 | 0.74831 | 0.77449 |
| 669 | 0.74836 | 0.7741 |
| 670 | 0.74844 | 0.77371 |
| 671 | 0.7484 | 0.77332 |
| 672 | 0.74847 | 0.77293 |
| 673 | 0.74852 | 0.77253 |
| 674 | 0.74851 | 0.77213 |
| 675 | 0.74852 | 0.77173 |
| 676 | 0.74859 | 0.77133 |
| 677 | 0.74866 | 0.77092 |
| 678 | 0.74866 | 0.77052 |
| 679 | 0.74046 | 0.77011 |
| 680 | 0.73242 | 0.7697 |
| 681 | 0.74044 | 0.76928 |
| 682 | 0.747 | 0.76887 |
| 683 | 0.73987 | 0.76845 |
| 684 | 0.73182 | 0.76803 |
| 685 | 0.73193 | 0.76761 |
| 686 | 0.73174 | 0.76719 |
| 687 | 0.73159 | 0.76676 |
| 688 | 0.72436 | 0.76633 |
| 689 | 0.73941 | 0.7659 |
| 690 | 0.73966 | 0.76547 |
| 691 | 0.73976 | 0.76503 |
| 692 | 0.72434 | 0.76459 |
| 693 | 0.72434 | 0.76415 |
| 694 | 0.72435 | 0.76371 |
| 695 | 0.72435 | 0.76326 |
| 696 | 0.72433 | 0.76281 |
| 697 | 0.73196 | 0.76236 |
| 698 | 0.73234 | 0.76191 |
| 699 | 0.73239 | 0.76145 |
| 700 | 0.71629 | 0.76099 |
| 701 | 0.7163 | 0.76053 |
| 702 | 0.7163 | 0.76007 |
| 703 | 0.71632 | 0.7596 |
| 704 | 0.7163 | 0.75913 |
| 705 | 0.72401 | 0.75866 |
| 706 | 0.72435 | 0.75818 |
| 707 | 0.73162 | 0.75771 |
| 708 | 0.72414 | 0.75722 |
| 709 | 0.71632 | 0.75674 |
| 710 | 0.7163 | 0.75625 |
| 711 | 0.71629 | 0.75576 |
| 712 | 0.71627 | 0.75527 |
| 713 | 0.71628 | 0.75478 |
| 714 | 0.72433 | 0.75428 |
| 715 | 0.73156 | 0.75378 |
| 716 | 0.73165 | 0.75327 |
| 717 | 0.73166 | 0.75276 |
| 718 | 0.73165 | 0.75225 |
| 719 | 0.73167 | 0.75174 |
| 720 | 0.73168 | 0.75122 |
| 721 | 0.73167 | 0.7507 |
| 722 | 0.73167 | 0.75018 |
| 723 | 0.73146 | 0.74965 |
| 724 | 0.7314 | 0.74912 |
| 725 | 0.73142 | 0.74858 |
| 726 | 0.73242 | 0.74805 |
| 727 | 0.73219 | 0.7475 |
| 728 | 0.72436 | 0.74696 |
| 729 | 0.73241 | 0.74641 |
| 730 | 0.73903 | 0.74586 |
| 731 | 0.7319 | 0.7453 |
| 732 | 0.72427 | 0.74475 |
| 733 | 0.72376 | 0.74418 |
| 734 | 0.7238 | 0.74362 |
| 735 | 0.7163 | 0.74305 |
| 736 | 0.71629 | 0.74247 |
| 737 | 0.72435 | 0.74189 |
| 738 | 0.73113 | 0.74131 |
| 739 | 0.73114 | 0.74073 |
| 740 | 0.7163 | 0.74014 |
| 741 | 0.70832 | 0.73954 |
| 742 | 0.70832 | 0.73895 |
| 743 | 0.70832 | 0.73834 |
| 744 | 0.70833 | 0.73774 |
| 745 | 0.70832 | 0.73713 |
| 746 | 0.61078 | 0.73651 |
| 747 | 0.71636 | 0.73589 |
| 748 | 0.71638 | 0.73527 |
| 749 | 0.70831 | 0.73464 |
| 750 | 0.70788 | 0.73401 |
| 751 | 0.73178 | 0.73338 |
| 752 | 0.72296 | 0.73273 |
| 753 | 0.6922 | 0.73209 |
| 754 | 0.67609 | 0.73144 |
| 755 | 0.69217 | 0.73078 |
| 756 | 0.69921 | 0.73013 |
| 757 | 0.69218 | 0.72946 |
| 758 | 0.66805 | 0.72879 |
| 759 | 0.65999 | 0.72812 |
| 760 | 0.65195 | 0.72744 |
| 761 | 0.6439 | 0.72676 |
| 762 | 0.64389 | 0.72607 |
| 763 | 0.63585 | 0.72537 |
| 764 | 0.65998 | 0.72467 |
| 765 | 0.66 | 0.72397 |
| 766 | 0.64388 | 0.72326 |
| 767 | 0.63585 | 0.72254 |
| 768 | 0.63583 | 0.72182 |
| 769 | 0.62779 | 0.7211 |
| 770 | 0.62778 | 0.72037 |
| 771 | 0.61974 | 0.71963 |
| 772 | 0.63583 | 0.71889 |
| 773 | 0.63584 | 0.71814 |
| 774 | 0.64389 | 0.71739 |
| 775 | 0.61976 | 0.71663 |
| 776 | 0.61974 | 0.71586 |
| 777 | 0.61973 | 0.71509 |
| 778 | 0.61169 | 0.71431 |
| 779 | 0.61168 | 0.71353 |
| 780 | 0.60364 | 0.71274 |
| 781 | 0.60364 | 0.71195 |
| 782 | 0.60365 | 0.71114 |
| 783 | 0.60364 | 0.71034 |
| 784 | 0.59558 | 0.70952 |
| 785 | 0.59558 | 0.7087 |
| 786 | 0.60363 | 0.70787 |
| 787 | 0.61169 | 0.70704 |
| 788 | 0.61169 | 0.7062 |
| 789 | 0.6117 | 0.70535 |
| 790 | 0.61169 | 0.7045 |
| 791 | 0.61168 | 0.70363 |
| 792 | 0.61169 | 0.70277 |
| 793 | 0.61169 | 0.70189 |
| 794 | 0.61173 | 0.70101 |
| 795 | 0.61172 | 0.70012 |
| 796 | 0.60372 | 0.69922 |
| 797 | 0.60373 | 0.69832 |
| 798 | 0.60374 | 0.69741 |
| 799 | 0.63584 | 0.69649 |
| 800 | 0.62777 | 0.69556 |
| 801 | 0.61972 | 0.69463 |
| 802 | 0.61952 | 0.69369 |
| 803 | 0.61168 | 0.69274 |
| 804 | 0.61167 | 0.69178 |
| 805 | 0.60363 | 0.69081 |
| 806 | 0.60363 | 0.68984 |
| 807 | 0.61169 | 0.68886 |
| 808 | 0.61136 | 0.68787 |
| 809 | 0.61163 | 0.68687 |
| 810 | 0.60361 | 0.68586 |
| 811 | 0.60354 | 0.68485 |
| 812 | 0.59557 | 0.68382 |
| 813 | 0.59558 | 0.68279 |
| 814 | 0.59558 | 0.68175 |
| 815 | 0.5956 | 0.6807 |
| 816 | 0.59561 | 0.67964 |
| 817 | 0.60366 | 0.67857 |
| 818 | 0.59557 | 0.67749 |
| 819 | 0.59558 | 0.67641 |
| 820 | 0.58756 | 0.67531 |
| 821 | 0.58754 | 0.67421 |
| 822 | 0.57949 | 0.67309 |
| 823 | 0.57948 | 0.67197 |
| 824 | 0.57949 | 0.67083 |
| 825 | 0.57948 | 0.66969 |
| 826 | 0.57946 | 0.66853 |
| 827 | 0.57947 | 0.66737 |
| 828 | 0.5795 | 0.6662 |
| 829 | 0.57949 | 0.66501 |
| 830 | 0.57144 | 0.66382 |
| 831 | 0.57141 | 0.66261 |
| 832 | 0.56338 | 0.6614 |
| 833 | 0.56339 | 0.66017 |
| 834 | 0.55533 | 0.65893 |
| 835 | 0.55534 | 0.65769 |
| 836 | 0.5634 | 0.65643 |
| 837 | 0.55533 | 0.65516 |
| 838 | 0.55536 | 0.65388 |
| 839 | 0.55534 | 0.65259 |
| 840 | 0.54729 | 0.65128 |
| 841 | 0.54731 | 0.64997 |
| 842 | 0.53928 | 0.64864 |
| 843 | 0.53932 | 0.64731 |
| 844 | 0.53128 | 0.64596 |
| 845 | 0.53128 | 0.6446 |
| 846 | 0.53128 | 0.64322 |
| 847 | 0.53127 | 0.64184 |
| 848 | 0.55534 | 0.64044 |
| 849 | 0.54728 | 0.63903 |
| 850 | 0.53118 | 0.63761 |
| 851 | 0.52314 | 0.63618 |
| 852 | 0.52315 | 0.63473 |
| 853 | 0.51508 | 0.63327 |
| 854 | 0.51509 | 0.6318 |
| 855 | 0.51508 | 0.63032 |
| 856 | 0.5151 | 0.62882 |
| 857 | 0.52315 | 0.62731 |
| 858 | 0.51508 | 0.62579 |
| 859 | 0.50705 | 0.62425 |
| 860 | 0.49901 | 0.6227 |
| 861 | 0.499 | 0.62114 |
| 862 | 0.49094 | 0.61957 |
| 863 | 0.49094 | 0.61798 |
| 864 | 0.49095 | 0.61637 |
| 865 | 0.4829 | 0.61476 |
| 866 | 0.49096 | 0.61313 |
| 867 | 0.49093 | 0.61148 |
| 868 | 0.48291 | 0.60983 |
| 869 | 0.48289 | 0.60816 |
| 870 | 0.48288 | 0.60647 |
| 871 | 0.47485 | 0.60477 |
| 872 | 0.47484 | 0.60306 |
| 873 | 0.47483 | 0.60133 |
| 874 | 0.46684 | 0.59959 |
| 875 | 0.46683 | 0.59783 |
| 876 | 0.46684 | 0.59607 |
| 877 | 0.46683 | 0.59428 |
| 878 | 0.46683 | 0.59248 |
| 879 | 0.46683 | 0.59067 |
| 880 | 0.46684 | 0.58884 |
| 881 | 0.45877 | 0.587 |
| 882 | 0.45878 | 0.58514 |
| 883 | 0.4588 | 0.58327 |
| 884 | 0.45073 | 0.58139 |
| 885 | 0.45073 | 0.57949 |
| 886 | 0.45077 | 0.57758 |
| 887 | 0.45077 | 0.57565 |
| 888 | 0.44272 | 0.5737 |
| 889 | 0.44277 | 0.57175 |
| 890 | 0.44276 | 0.56978 |
| 891 | 0.45886 | 0.56779 |
| 892 | 0.4669 | 0.56579 |
| 893 | 0.46691 | 0.56377 |
| 894 | 0.46691 | 0.56174 |
| 895 | 0.46691 | 0.5597 |
| 896 | 0.46681 | 0.55764 |
| 897 | 0.45875 | 0.55557 |
| 898 | 0.4507 | 0.55348 |
| 899 | 0.44266 | 0.55138 |
| 900 | 0.4346 | 0.54927 |
| 901 | 0.42657 | 0.54714 |
| 902 | 0.42656 | 0.545 |
| 903 | 0.42656 | 0.54284 |
| 904 | 0.41852 | 0.54067 |
| 905 | 0.41851 | 0.53849 |
| 906 | 0.41852 | 0.5363 |
| 907 | 0.41852 | 0.53409 |
| 908 | 0.41851 | 0.53187 |
| 909 | 0.41852 | 0.52963 |
| 910 | 0.41851 | 0.52738 |
| 911 | 0.41046 | 0.52512 |
| 912 | 0.40241 | 0.52285 |
| 913 | 0.40242 | 0.52057 |
| 914 | 0.39438 | 0.51827 |
| 915 | 0.40241 | 0.51596 |
| 916 | 0.40242 | 0.51364 |
| 917 | 0.40241 | 0.51131 |
| 918 | 0.40242 | 0.50897 |
| 919 | 0.4024 | 0.50661 |
| 920 | 0.40241 | 0.50425 |
| 921 | 0.40243 | 0.50187 |
| 922 | 0.39437 | 0.49949 |
| 923 | 0.39437 | 0.4971 |
| 924 | 0.39437 | 0.49469 |
| 925 | 0.38632 | 0.49228 |
| 926 | 0.38633 | 0.48986 |
| 927 | 0.37826 | 0.48742 |
| 928 | 0.37022 | 0.48498 |
| 929 | 0.37022 | 0.48254 |
| 930 | 0.37022 | 0.48008 |
| 931 | 0.36217 | 0.47762 |
| 932 | 0.36218 | 0.47515 |
| 933 | 0.36218 | 0.47267 |
| 934 | 0.35414 | 0.47019 |
| 935 | 0.35415 | 0.4677 |
| 936 | 0.37831 | 0.4652 |
| 937 | 0.36221 | 0.4627 |
| 938 | 0.35415 | 0.4602 |
| 939 | 0.35416 | 0.45769 |
| 940 | 0.33804 | 0.45517 |
| 941 | 0.33 | 0.45266 |
| 942 | 0.33 | 0.45014 |
| 943 | 0.32195 | 0.44761 |
| 944 | 0.32194 | 0.44508 |
| 945 | 0.32195 | 0.44256 |
| 946 | 0.3139 | 0.44003 |
| 947 | 0.31388 | 0.43749 |
| 948 | 0.3139 | 0.43496 |
| 949 | 0.32194 | 0.43243 |
| 950 | 0.32195 | 0.42989 |
| 951 | 0.31388 | 0.42736 |
| 952 | 0.31389 | 0.42483 |
| 953 | 0.30584 | 0.4223 |
| 954 | 0.30585 | 0.41977 |
| 955 | 0.29779 | 0.41724 |
| 956 | 0.29779 | 0.41472 |
| 957 | 0.28975 | 0.4122 |
| 958 | 0.28973 | 0.40968 |
| 959 | 0.28975 | 0.40717 |
| 960 | 0.28975 | 0.40466 |
| 961 | 0.28169 | 0.40215 |
| 962 | 0.2817 | 0.39965 |
| 963 | 0.28169 | 0.39716 |
| 964 | 0.28973 | 0.39467 |
| 965 | 0.28169 | 0.39219 |
| 966 | 0.28975 | 0.38971 |
| 967 | 0.28976 | 0.38724 |
| 968 | 0.28174 | 0.38478 |
| 969 | 0.28174 | 0.38233 |
| 970 | 0.26564 | 0.37989 |
| 971 | 0.26564 | 0.37745 |
| 972 | 0.26565 | 0.37502 |
| 973 | 0.26564 | 0.37261 |
| 974 | 0.25758 | 0.3702 |
| 975 | 0.25759 | 0.3678 |
| 976 | 0.25758 | 0.36541 |
| 977 | 0.24953 | 0.36304 |
| 978 | 0.24954 | 0.36067 |
| 979 | 0.25758 | 0.35832 |
| 980 | 0.25759 | 0.35598 |
| 981 | 0.25759 | 0.35365 |
| 982 | 0.24954 | 0.35133 |
| 983 | 0.25759 | 0.34903 |
| 984 | 0.24954 | 0.34674 |
| 985 | 0.36221 | 0.34446 |
| 986 | 0.35415 | 0.34219 |
| 987 | 0.35416 | 0.33994 |
| 988 | 0.33804 | 0.33771 |
| 989 | 0.33 | 0.33548 |
| 990 | 0.33 | 0.33327 |
| 991 | 0.32195 | 0.33108 |
| 992 | 0.32194 | 0.3289 |
| 993 | 0.32195 | 0.32674 |
| 994 | 0.3139 | 0.32459 |
| 995 | 0.31388 | 0.32246 |
| 996 | 0.3139 | 0.32034 |