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DESCRIPTION
This workbook calculates the Root Mean Square (RMS) of a sine wave as a function of time
Citation preview
0 500 1000 1500 2000 2500 3000 3500
-1.5
-1
-0.5
0
0.5
1
1.5
Column BColumn CColumn D
0 0 0 #DIV/0!1 0.017452 0.000305 0.0174522 0.034899 0.001218 0.0275913 0.052336 0.002739 0.037694 0.069756 0.004866 0.0477695 0.087156 0.007596 0.0578346 0.104528 0.010926 0.0678857 0.121869 0.014852 0.0779218 0.139173 0.019369 0.0879439 0.156434 0.024472 0.097947
10 0.173648 0.030154 0.10793411 0.190809 0.036408 0.117912 0.207912 0.043227 0.12784513 0.224951 0.050603 0.13776714 0.241922 0.058526 0.14766315 0.258819 0.066987 0.15753316 0.275637 0.075976 0.16737417 0.292372 0.085481 0.17718518 0.309017 0.095492 0.18696419 0.325568 0.105995 0.19670920 0.34202 0.116978 0.20641821 0.358368 0.128428 0.2160922 0.374607 0.14033 0.22572423 0.390731 0.152671 0.23531624 0.406737 0.165435 0.24486725 0.422618 0.178606 0.25437326 0.438371 0.192169 0.26383327 0.45399 0.206107 0.27324628 0.469472 0.220404 0.2826129 0.48481 0.23504 0.29192330 0.5 0.25 0.30118431 0.515038 0.265264 0.31039132 0.529919 0.280814 0.31954333 0.544639 0.296632 0.32863734 0.559193 0.312697 0.33767235 0.573576 0.32899 0.34664736 0.587785 0.345492 0.35556137 0.601815 0.362181 0.36441138 0.615661 0.379039 0.37319639 0.62932 0.396044 0.38191540 0.642788 0.413176 0.39056741 0.656059 0.430413 0.39914942 0.669131 0.447736 0.4076643 0.681998 0.465122 0.41609944 0.694658 0.48255 0.42446545 0.707107 0.5 0.43275646 0.71934 0.51745 0.44097147 0.731354 0.534878 0.449109
48 0.743145 0.552264 0.45716749 0.75471 0.569587 0.46514650 0.766044 0.586824 0.47304451 0.777146 0.603956 0.48085852 0.788011 0.620961 0.4885953 0.798636 0.637819 0.49623654 0.809017 0.654508 0.50379655 0.819152 0.67101 0.51126956 0.829038 0.687303 0.51865357 0.838671 0.703368 0.52594858 0.848048 0.719186 0.53315359 0.857167 0.734736 0.54026660 0.866025 0.75 0.54728761 0.87462 0.76496 0.55421462 0.882948 0.779596 0.56104663 0.891007 0.793893 0.56778364 0.898794 0.807831 0.57442465 0.906308 0.821394 0.58096866 0.913545 0.834565 0.58741367 0.920505 0.847329 0.5937668 0.927184 0.85967 0.60000769 0.93358 0.871572 0.60615470 0.939693 0.883022 0.612271 0.945519 0.894005 0.61814372 0.951057 0.904508 0.62398573 0.956305 0.914519 0.62972374 0.961262 0.924024 0.63535775 0.965926 0.933013 0.64088876 0.970296 0.941474 0.64631377 0.97437 0.949397 0.65163378 0.978148 0.956773 0.65684779 0.981627 0.963592 0.66195480 0.984808 0.969846 0.66695581 0.987688 0.975528 0.67184982 0.990268 0.980631 0.67663583 0.992546 0.985148 0.68131484 0.994522 0.989074 0.68588485 0.996195 0.992404 0.69034686 0.997564 0.995134 0.694787 0.99863 0.997261 0.69894488 0.999391 0.998782 0.7030889 0.999848 0.999695 0.70710790 1 1 0.71102491 0.999848 0.999695 0.71483392 0.999391 0.998782 0.71853293 0.99863 0.997261 0.72212294 0.997564 0.995134 0.72560295 0.996195 0.992404 0.728974
96 0.994522 0.989074 0.73223797 0.992546 0.985148 0.7353998 0.990268 0.980631 0.73843699 0.987688 0.975528 0.741372
100 0.984808 0.969846 0.744201101 0.981627 0.963592 0.746922102 0.978148 0.956773 0.749535103 0.97437 0.949397 0.752041104 0.970296 0.941474 0.75444105 0.965926 0.933013 0.756733106 0.961262 0.924024 0.75892107 0.956305 0.914519 0.761002108 0.951057 0.904508 0.762979109 0.945519 0.894005 0.764852110 0.939693 0.883022 0.766621111 0.93358 0.871572 0.768287112 0.927184 0.85967 0.769851113 0.920505 0.847329 0.771313114 0.913545 0.834565 0.772675115 0.906308 0.821394 0.773936116 0.898794 0.807831 0.775098117 0.891007 0.793893 0.776162118 0.882948 0.779596 0.777129119 0.87462 0.76496 0.777999120 0.866025 0.75 0.778774121 0.857167 0.734736 0.779454122 0.848048 0.719186 0.780041123 0.838671 0.703368 0.780535124 0.829038 0.687303 0.780938125 0.819152 0.67101 0.781252126 0.809017 0.654508 0.781476127 0.798636 0.637819 0.781612128 0.788011 0.620961 0.781663129 0.777146 0.603956 0.781628130 0.766044 0.586824 0.781509131 0.75471 0.569587 0.781308132 0.743145 0.552264 0.781026133 0.731354 0.534878 0.780664134 0.71934 0.51745 0.780224135 0.707107 0.5 0.779708136 0.694658 0.48255 0.779116137 0.681998 0.465122 0.778451138 0.669131 0.447736 0.777714139 0.656059 0.430413 0.776907140 0.642788 0.413176 0.776032141 0.62932 0.396044 0.775089142 0.615661 0.379039 0.774081143 0.601815 0.362181 0.77301
144 0.587785 0.345492 0.771877145 0.573576 0.32899 0.770684146 0.559193 0.312697 0.769433147 0.544639 0.296632 0.768126148 0.529919 0.280814 0.766765149 0.515038 0.265264 0.765351150 0.5 0.25 0.763888151 0.48481 0.23504 0.762376152 0.469472 0.220404 0.760817153 0.45399 0.206107 0.759214154 0.438371 0.192169 0.757569155 0.422618 0.178606 0.755884156 0.406737 0.165435 0.754161157 0.390731 0.152671 0.752402158 0.374607 0.14033 0.750609159 0.358368 0.128428 0.748784160 0.34202 0.116978 0.74693161 0.325568 0.105995 0.745049162 0.309017 0.095492 0.743143163 0.292372 0.085481 0.741213164 0.275637 0.075976 0.739264165 0.258819 0.066987 0.737295166 0.241922 0.058526 0.735311167 0.224951 0.050603 0.733313168 0.207912 0.043227 0.731303169 0.190809 0.036408 0.729284170 0.173648 0.030154 0.727258171 0.156434 0.024472 0.725227172 0.139173 0.019369 0.723193173 0.121869 0.014852 0.72116174 0.104528 0.010926 0.719128175 0.087156 0.007596 0.717101176 0.069756 0.004866 0.71508177 0.052336 0.002739 0.713068178 0.034899 0.001218 0.711067179 0.017452 0.000305 0.709079180 1.225E-16 1.5E-32 0.707107181 -0.017452 0.000305 0.705152182 -0.034899 0.001218 0.703217183 -0.052336 0.002739 0.701303184 -0.069756 0.004866 0.699414185 -0.087156 0.007596 0.697551186 -0.104528 0.010926 0.695715187 -0.121869 0.014852 0.69391188 -0.139173 0.019369 0.692136189 -0.156434 0.024472 0.690396190 -0.173648 0.030154 0.688692191 -0.190809 0.036408 0.687026
192 -0.207912 0.043227 0.685399193 -0.224951 0.050603 0.683813194 -0.241922 0.058526 0.682269195 -0.258819 0.066987 0.68077196 -0.275637 0.075976 0.679316197 -0.292372 0.085481 0.67791198 -0.309017 0.095492 0.676552199 -0.325568 0.105995 0.675245200 -0.34202 0.116978 0.673989201 -0.358368 0.128428 0.672785202 -0.374607 0.14033 0.671635203 -0.390731 0.152671 0.67054204 -0.406737 0.165435 0.6695205 -0.422618 0.178606 0.668517206 -0.438371 0.192169 0.667592207 -0.45399 0.206107 0.666724208 -0.469472 0.220404 0.665916209 -0.48481 0.23504 0.665167210 -0.5 0.25 0.664477211 -0.515038 0.265264 0.663849212 -0.529919 0.280814 0.66328213 -0.544639 0.296632 0.662773214 -0.559193 0.312697 0.662327215 -0.573576 0.32899 0.661941216 -0.587785 0.345492 0.661617217 -0.601815 0.362181 0.661354218 -0.615661 0.379039 0.661152219 -0.62932 0.396044 0.66101220 -0.642788 0.413176 0.660928221 -0.656059 0.430413 0.660906222 -0.669131 0.447736 0.660943223 -0.681998 0.465122 0.661039224 -0.694658 0.48255 0.661193225 -0.707107 0.5 0.661404226 -0.71934 0.51745 0.661672227 -0.731354 0.534878 0.661995228 -0.743145 0.552264 0.662372229 -0.75471 0.569587 0.662804230 -0.766044 0.586824 0.663287231 -0.777146 0.603956 0.663822232 -0.788011 0.620961 0.664407233 -0.798636 0.637819 0.665041234 -0.809017 0.654508 0.665723235 -0.819152 0.67101 0.666451236 -0.829038 0.687303 0.667223237 -0.838671 0.703368 0.668039238 -0.848048 0.719186 0.668897239 -0.857167 0.734736 0.669795
240 -0.866025 0.75 0.670731241 -0.87462 0.76496 0.671705242 -0.882948 0.779596 0.672715243 -0.891007 0.793893 0.673758244 -0.898794 0.807831 0.674833245 -0.906308 0.821394 0.675939246 -0.913545 0.834565 0.677074247 -0.920505 0.847329 0.678236248 -0.927184 0.85967 0.679423249 -0.93358 0.871572 0.680633250 -0.939693 0.883022 0.681866251 -0.945519 0.894005 0.683118252 -0.951057 0.904508 0.684389253 -0.956305 0.914519 0.685676254 -0.961262 0.924024 0.686977255 -0.965926 0.933013 0.688292256 -0.970296 0.941474 0.689618257 -0.97437 0.949397 0.690954258 -0.978148 0.956773 0.692297259 -0.981627 0.963592 0.693646260 -0.984808 0.969846 0.695261 -0.987688 0.975528 0.696356262 -0.990268 0.980631 0.697713263 -0.992546 0.985148 0.69907264 -0.994522 0.989074 0.700424265 -0.996195 0.992404 0.701774266 -0.997564 0.995134 0.703119267 -0.99863 0.997261 0.704458268 -0.999391 0.998782 0.705787269 -0.999848 0.999695 0.707107270 -1 1 0.708415271 -0.999848 0.999695 0.70971272 -0.999391 0.998782 0.710992273 -0.99863 0.997261 0.712257274 -0.997564 0.995134 0.713506275 -0.996195 0.992404 0.714737276 -0.994522 0.989074 0.715948277 -0.992546 0.985148 0.717138278 -0.990268 0.980631 0.718307279 -0.987688 0.975528 0.719452280 -0.984808 0.969846 0.720574281 -0.981627 0.963592 0.72167282 -0.978148 0.956773 0.722741283 -0.97437 0.949397 0.723784284 -0.970296 0.941474 0.724799285 -0.965926 0.933013 0.725785286 -0.961262 0.924024 0.726741287 -0.956305 0.914519 0.727667
288 -0.951057 0.904508 0.728561289 -0.945519 0.894005 0.729423290 -0.939693 0.883022 0.730252291 -0.93358 0.871572 0.731048292 -0.927184 0.85967 0.731809293 -0.920505 0.847329 0.732536294 -0.913545 0.834565 0.733227295 -0.906308 0.821394 0.733883296 -0.898794 0.807831 0.734502297 -0.891007 0.793893 0.735085298 -0.882948 0.779596 0.735631299 -0.87462 0.76496 0.73614300 -0.866025 0.75 0.736611301 -0.857167 0.734736 0.737044302 -0.848048 0.719186 0.737439303 -0.838671 0.703368 0.737796304 -0.829038 0.687303 0.738115305 -0.819152 0.67101 0.738395306 -0.809017 0.654508 0.738637307 -0.798636 0.637819 0.73884308 -0.788011 0.620961 0.739005309 -0.777146 0.603956 0.739132310 -0.766044 0.586824 0.73922311 -0.75471 0.569587 0.73927312 -0.743145 0.552264 0.739283313 -0.731354 0.534878 0.739258314 -0.71934 0.51745 0.739195315 -0.707107 0.5 0.739095316 -0.694658 0.48255 0.738959317 -0.681998 0.465122 0.738786318 -0.669131 0.447736 0.738577319 -0.656059 0.430413 0.738333320 -0.642788 0.413176 0.738054321 -0.62932 0.396044 0.73774322 -0.615661 0.379039 0.737392323 -0.601815 0.362181 0.737011324 -0.587785 0.345492 0.736597325 -0.573576 0.32899 0.736151326 -0.559193 0.312697 0.735673327 -0.544639 0.296632 0.735164328 -0.529919 0.280814 0.734626329 -0.515038 0.265264 0.734058330 -0.5 0.25 0.733461331 -0.48481 0.23504 0.732837332 -0.469472 0.220404 0.732186333 -0.45399 0.206107 0.731509334 -0.438371 0.192169 0.730807335 -0.422618 0.178606 0.730081
336 -0.406737 0.165435 0.729331337 -0.390731 0.152671 0.728559338 -0.374607 0.14033 0.727766339 -0.358368 0.128428 0.726952340 -0.34202 0.116978 0.726119341 -0.325568 0.105995 0.725268342 -0.309017 0.095492 0.7244343 -0.292372 0.085481 0.723515344 -0.275637 0.075976 0.722616345 -0.258819 0.066987 0.721702346 -0.241922 0.058526 0.720776347 -0.224951 0.050603 0.719838348 -0.207912 0.043227 0.718889349 -0.190809 0.036408 0.717931350 -0.173648 0.030154 0.716965351 -0.156434 0.024472 0.715992352 -0.139173 0.019369 0.715013353 -0.121869 0.014852 0.714028354 -0.104528 0.010926 0.713041355 -0.087156 0.007596 0.712051356 -0.069756 0.004866 0.71106357 -0.052336 0.002739 0.710069358 -0.034899 0.001218 0.709079359 -0.017452 0.000305 0.708091360 -2.45E-16 6E-32 0.707107361 0.017452 0.000305 0.706127362 0.034899 0.001218 0.705154363 0.052336 0.002739 0.704187364 0.069756 0.004866 0.703229365 0.087156 0.007596 0.70228366 0.104528 0.010926 0.701341367 0.121869 0.014852 0.700413368 0.139173 0.019369 0.699499369 0.156434 0.024472 0.698598370 0.173648 0.030154 0.697712371 0.190809 0.036408 0.696841372 0.207912 0.043227 0.695987373 0.224951 0.050603 0.695151374 0.241922 0.058526 0.694334375 0.258819 0.066987 0.693536376 0.275637 0.075976 0.692759377 0.292372 0.085481 0.692004378 0.309017 0.095492 0.691271379 0.325568 0.105995 0.690561380 0.34202 0.116978 0.689874381 0.358368 0.128428 0.689213382 0.374607 0.14033 0.688577383 0.390731 0.152671 0.687967
384 0.406737 0.165435 0.687385385 0.422618 0.178606 0.686829386 0.438371 0.192169 0.686302387 0.45399 0.206107 0.685803388 0.469472 0.220404 0.685333389 0.48481 0.23504 0.684893390 0.5 0.25 0.684483391 0.515038 0.265264 0.684103392 0.529919 0.280814 0.683754393 0.544639 0.296632 0.683436394 0.559193 0.312697 0.683149395 0.573576 0.32899 0.682894396 0.587785 0.345492 0.68267397 0.601815 0.362181 0.682478398 0.615661 0.379039 0.682319399 0.62932 0.396044 0.682191400 0.642788 0.413176 0.682095401 0.656059 0.430413 0.682032402 0.669131 0.447736 0.682403 0.681998 0.465122 0.682404 0.694658 0.48255 0.682032405 0.707107 0.5 0.682095406 0.71934 0.51745 0.682189407 0.731354 0.534878 0.682314408 0.743145 0.552264 0.68247409 0.75471 0.569587 0.682656410 0.766044 0.586824 0.682871411 0.777146 0.603956 0.683117412 0.788011 0.620961 0.683391413 0.798636 0.637819 0.683693414 0.809017 0.654508 0.684024415 0.819152 0.67101 0.684381416 0.829038 0.687303 0.684766417 0.838671 0.703368 0.685176418 0.848048 0.719186 0.685612419 0.857167 0.734736 0.686072420 0.866025 0.75 0.686557421 0.87462 0.76496 0.687065422 0.882948 0.779596 0.687595423 0.891007 0.793893 0.688147424 0.898794 0.807831 0.688719425 0.906308 0.821394 0.689312426 0.913545 0.834565 0.689923427 0.920505 0.847329 0.690553428 0.927184 0.85967 0.691201429 0.93358 0.871572 0.691864430 0.939693 0.883022 0.692544431 0.945519 0.894005 0.693237
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1728 -0.951057 0.904508 0.7107271729 -0.945519 0.894005 0.7108861730 -0.939693 0.883022 0.7110391731 -0.93358 0.871572 0.7111881732 -0.927184 0.85967 0.7113321733 -0.920505 0.847329 0.711471734 -0.913545 0.834565 0.7116031735 -0.906308 0.821394 0.7117311736 -0.898794 0.807831 0.7118521737 -0.891007 0.793893 0.7119691738 -0.882948 0.779596 0.7120791739 -0.87462 0.76496 0.7121831740 -0.866025 0.75 0.7122811741 -0.857167 0.734736 0.7123731742 -0.848048 0.719186 0.7124581743 -0.838671 0.703368 0.7125371744 -0.829038 0.687303 0.7126091745 -0.819152 0.67101 0.7126751746 -0.809017 0.654508 0.7127331747 -0.798636 0.637819 0.7127861748 -0.788011 0.620961 0.7128311749 -0.777146 0.603956 0.7128691750 -0.766044 0.586824 0.7129011751 -0.75471 0.569587 0.7129251752 -0.743145 0.552264 0.7129431753 -0.731354 0.534878 0.7129541754 -0.71934 0.51745 0.7129571755 -0.707107 0.5 0.7129541756 -0.694658 0.48255 0.7129441757 -0.681998 0.465122 0.7129261758 -0.669131 0.447736 0.7129021759 -0.656059 0.430413 0.7128711760 -0.642788 0.413176 0.7128331761 -0.62932 0.396044 0.7127891762 -0.615661 0.379039 0.7127371763 -0.601815 0.362181 0.7126791764 -0.587785 0.345492 0.7126151765 -0.573576 0.32899 0.7125441766 -0.559193 0.312697 0.7124661767 -0.544639 0.296632 0.7123821768 -0.529919 0.280814 0.7122921769 -0.515038 0.265264 0.7121961770 -0.5 0.25 0.7120941771 -0.48481 0.23504 0.7119861772 -0.469472 0.220404 0.7118731773 -0.45399 0.206107 0.7117541774 -0.438371 0.192169 0.7116291775 -0.422618 0.178606 0.711499
1776 -0.406737 0.165435 0.7113651777 -0.390731 0.152671 0.7112251778 -0.374607 0.14033 0.711081779 -0.358368 0.128428 0.7109311780 -0.34202 0.116978 0.7107781781 -0.325568 0.105995 0.710621782 -0.309017 0.095492 0.7104581783 -0.292372 0.085481 0.7102931784 -0.275637 0.075976 0.7101241785 -0.258819 0.066987 0.7099511786 -0.241922 0.058526 0.7097751787 -0.224951 0.050603 0.7095971788 -0.207912 0.043227 0.7094151789 -0.190809 0.036408 0.7092311790 -0.173648 0.030154 0.7090451791 -0.156434 0.024472 0.7088571792 -0.139173 0.019369 0.7086671793 -0.121869 0.014852 0.7084751794 -0.104528 0.010926 0.7082821795 -0.087156 0.007596 0.7080871796 -0.069756 0.004866 0.7078921797 -0.052336 0.002739 0.7076961798 -0.034899 0.001218 0.70751799 -0.017452 0.000305 0.7073031800 -1.22E-15 1.5E-30 0.7071071801 0.017452 0.000305 0.7069111802 0.034899 0.001218 0.7067151803 0.052336 0.002739 0.706521804 0.069756 0.004866 0.7063261805 0.087156 0.007596 0.7061331806 0.104528 0.010926 0.7059421807 0.121869 0.014852 0.7057531808 0.139173 0.019369 0.7055651809 0.156434 0.024472 0.7053791810 0.173648 0.030154 0.7051961811 0.190809 0.036408 0.7050161812 0.207912 0.043227 0.7048381813 0.224951 0.050603 0.7046641814 0.241922 0.058526 0.7044921815 0.258819 0.066987 0.7043241816 0.275637 0.075976 0.704161817 0.292372 0.085481 0.7041818 0.309017 0.095492 0.7038431819 0.325568 0.105995 0.7036911820 0.34202 0.116978 0.7035441821 0.358368 0.128428 0.7034011822 0.374607 0.14033 0.7032621823 0.390731 0.152671 0.703129
1824 0.406737 0.165435 0.7030011825 0.422618 0.178606 0.7028781826 0.438371 0.192169 0.702761827 0.45399 0.206107 0.7026481828 0.469472 0.220404 0.7025421829 0.48481 0.23504 0.7024411830 0.5 0.25 0.7023461831 0.515038 0.265264 0.7022581832 0.529919 0.280814 0.7021751833 0.544639 0.296632 0.7020991834 0.559193 0.312697 0.7020291835 0.573576 0.32899 0.7019651836 0.587785 0.345492 0.7019081837 0.601815 0.362181 0.7018571838 0.615661 0.379039 0.7018131839 0.62932 0.396044 0.7017761840 0.642788 0.413176 0.7017451841 0.656059 0.430413 0.7017211842 0.669131 0.447736 0.7017041843 0.681998 0.465122 0.7016941844 0.694658 0.48255 0.701691845 0.707107 0.5 0.7016931846 0.71934 0.51745 0.7017021847 0.731354 0.534878 0.7017191848 0.743145 0.552264 0.7017421849 0.75471 0.569587 0.7017721850 0.766044 0.586824 0.7018081851 0.777146 0.603956 0.7018511852 0.788011 0.620961 0.70191853 0.798636 0.637819 0.7019561854 0.809017 0.654508 0.7020181855 0.819152 0.67101 0.7020871856 0.829038 0.687303 0.7021611857 0.838671 0.703368 0.7022421858 0.848048 0.719186 0.7023281859 0.857167 0.734736 0.7024211860 0.866025 0.75 0.7025191861 0.87462 0.76496 0.7026231862 0.882948 0.779596 0.7027321863 0.891007 0.793893 0.7028471864 0.898794 0.807831 0.7029661865 0.906308 0.821394 0.7030911866 0.913545 0.834565 0.7032211867 0.920505 0.847329 0.7033551868 0.927184 0.85967 0.7034941869 0.93358 0.871572 0.7036371870 0.939693 0.883022 0.7037851871 0.945519 0.894005 0.703936
1872 0.951057 0.904508 0.7040911873 0.956305 0.914519 0.704251874 0.961262 0.924024 0.7044121875 0.965926 0.933013 0.7045781876 0.970296 0.941474 0.7047461877 0.97437 0.949397 0.7049171878 0.978148 0.956773 0.7050911879 0.981627 0.963592 0.7052671880 0.984808 0.969846 0.7054451881 0.987688 0.975528 0.7056251882 0.990268 0.980631 0.7058071883 0.992546 0.985148 0.705991884 0.994522 0.989074 0.7061741885 0.996195 0.992404 0.706361886 0.997564 0.995134 0.7065461887 0.99863 0.997261 0.7067331888 0.999391 0.998782 0.706921889 0.999848 0.999695 0.7071071890 1 1 0.7072941891 0.999848 0.999695 0.7074811892 0.999391 0.998782 0.7076671893 0.99863 0.997261 0.7078521894 0.997564 0.995134 0.7080361895 0.996195 0.992404 0.7082191896 0.994522 0.989074 0.7084011897 0.992546 0.985148 0.708581898 0.990268 0.980631 0.7087581899 0.987688 0.975528 0.7089341900 0.984808 0.969846 0.7091071901 0.981627 0.963592 0.7092781902 0.978148 0.956773 0.7094471903 0.97437 0.949397 0.7096121904 0.970296 0.941474 0.7097741905 0.965926 0.933013 0.7099321906 0.961262 0.924024 0.7100881907 0.956305 0.914519 0.7102391908 0.951057 0.904508 0.7103871909 0.945519 0.894005 0.710531910 0.939693 0.883022 0.710671911 0.93358 0.871572 0.7108041912 0.927184 0.85967 0.7109351913 0.920505 0.847329 0.7110611914 0.913545 0.834565 0.7111811915 0.906308 0.821394 0.7112971916 0.898794 0.807831 0.7114081917 0.891007 0.793893 0.7115141918 0.882948 0.779596 0.7116141919 0.87462 0.76496 0.711708
1920 0.866025 0.75 0.7117971921 0.857167 0.734736 0.7118811922 0.848048 0.719186 0.7119581923 0.838671 0.703368 0.712031924 0.829038 0.687303 0.7120961925 0.819152 0.67101 0.7121561926 0.809017 0.654508 0.7122091927 0.798636 0.637819 0.7122571928 0.788011 0.620961 0.7122981929 0.777146 0.603956 0.7123341930 0.766044 0.586824 0.7123621931 0.75471 0.569587 0.7123851932 0.743145 0.552264 0.7124011933 0.731354 0.534878 0.7124111934 0.71934 0.51745 0.7124151935 0.707107 0.5 0.7124121936 0.694658 0.48255 0.7124031937 0.681998 0.465122 0.7123881938 0.669131 0.447736 0.7123661939 0.656059 0.430413 0.7123381940 0.642788 0.413176 0.7123041941 0.62932 0.396044 0.7122641942 0.615661 0.379039 0.7122171943 0.601815 0.362181 0.7121651944 0.587785 0.345492 0.7121071945 0.573576 0.32899 0.7120421946 0.559193 0.312697 0.7119721947 0.544639 0.296632 0.7118961948 0.529919 0.280814 0.7118151949 0.515038 0.265264 0.7117281950 0.5 0.25 0.7116351951 0.48481 0.23504 0.7115381952 0.469472 0.220404 0.7114351953 0.45399 0.206107 0.7113271954 0.438371 0.192169 0.7112141955 0.422618 0.178606 0.7110961956 0.406737 0.165435 0.7109741957 0.390731 0.152671 0.7108471958 0.374607 0.14033 0.7107161959 0.358368 0.128428 0.7105811960 0.34202 0.116978 0.7104411961 0.325568 0.105995 0.7102981962 0.309017 0.095492 0.7101511963 0.292372 0.085481 0.7100011964 0.275637 0.075976 0.7098481965 0.258819 0.066987 0.7096911966 0.241922 0.058526 0.7095321967 0.224951 0.050603 0.709369
1968 0.207912 0.043227 0.7092051969 0.190809 0.036408 0.7090371970 0.173648 0.030154 0.7088681971 0.156434 0.024472 0.7086971972 0.139173 0.019369 0.7085241973 0.121869 0.014852 0.708351974 0.104528 0.010926 0.7081751975 0.087156 0.007596 0.7079981976 0.069756 0.004866 0.7078211977 0.052336 0.002739 0.7076431978 0.034899 0.001218 0.7074641979 0.017452 0.000305 0.7072851980 4.9E-15 2.401E-29 0.7071071981 -0.017452 0.000305 0.7069281982 -0.034899 0.001218 0.706751983 -0.052336 0.002739 0.7065731984 -0.069756 0.004866 0.7063971985 -0.087156 0.007596 0.7062221986 -0.104528 0.010926 0.7060481987 -0.121869 0.014852 0.7058751988 -0.139173 0.019369 0.7057051989 -0.156434 0.024472 0.7055361990 -0.173648 0.030154 0.7053691991 -0.190809 0.036408 0.7052051992 -0.207912 0.043227 0.7050441993 -0.224951 0.050603 0.7048851994 -0.241922 0.058526 0.7047291995 -0.258819 0.066987 0.7045761996 -0.275637 0.075976 0.7044261997 -0.292372 0.085481 0.704281998 -0.309017 0.095492 0.7041381999 -0.325568 0.105995 0.7042000 -0.34202 0.116978 0.7038652001 -0.358368 0.128428 0.7037352002 -0.374607 0.14033 0.7036092003 -0.390731 0.152671 0.7034872004 -0.406737 0.165435 0.703372005 -0.422618 0.178606 0.7032582006 -0.438371 0.192169 0.7031512007 -0.45399 0.206107 0.7030492008 -0.469472 0.220404 0.7029522009 -0.48481 0.23504 0.702862010 -0.5 0.25 0.7027742011 -0.515038 0.265264 0.7026932012 -0.529919 0.280814 0.7026182013 -0.544639 0.296632 0.7025482014 -0.559193 0.312697 0.7024842015 -0.573576 0.32899 0.702426
2016 -0.587785 0.345492 0.7023742017 -0.601815 0.362181 0.7023282018 -0.615661 0.379039 0.7022872019 -0.62932 0.396044 0.7022532020 -0.642788 0.413176 0.7022252021 -0.656059 0.430413 0.7022032022 -0.669131 0.447736 0.7021872023 -0.681998 0.465122 0.7021772024 -0.694658 0.48255 0.7021732025 -0.707107 0.5 0.7021762026 -0.71934 0.51745 0.7021842027 -0.731354 0.534878 0.7021992028 -0.743145 0.552264 0.702222029 -0.75471 0.569587 0.7022472030 -0.766044 0.586824 0.7022792031 -0.777146 0.603956 0.7023182032 -0.788011 0.620961 0.7023632033 -0.798636 0.637819 0.7024142034 -0.809017 0.654508 0.702472035 -0.819152 0.67101 0.7025322036 -0.829038 0.687303 0.70262037 -0.838671 0.703368 0.7026732038 -0.848048 0.719186 0.7027522039 -0.857167 0.734736 0.7028362040 -0.866025 0.75 0.7029252041 -0.87462 0.76496 0.7030192042 -0.882948 0.779596 0.7031192043 -0.891007 0.793893 0.7032232044 -0.898794 0.807831 0.7033322045 -0.906308 0.821394 0.7034462046 -0.913545 0.834565 0.7035642047 -0.920505 0.847329 0.7036862048 -0.927184 0.85967 0.7038122049 -0.93358 0.871572 0.7039432050 -0.939693 0.883022 0.7040772051 -0.945519 0.894005 0.7042152052 -0.951057 0.904508 0.7043562053 -0.956305 0.914519 0.7045012054 -0.961262 0.924024 0.7046492055 -0.965926 0.933013 0.7047992056 -0.970296 0.941474 0.7049532057 -0.97437 0.949397 0.7051092058 -0.978148 0.956773 0.7052672059 -0.981627 0.963592 0.7054282060 -0.984808 0.969846 0.705592061 -0.987688 0.975528 0.7057542062 -0.990268 0.980631 0.705922063 -0.992546 0.985148 0.706087
2064 -0.994522 0.989074 0.7062562065 -0.996195 0.992404 0.7064252066 -0.997564 0.995134 0.7065952067 -0.99863 0.997261 0.7067652068 -0.999391 0.998782 0.7069362069 -0.999848 0.999695 0.7071072070 -1 1 0.7072782071 -0.999848 0.999695 0.7074482072 -0.999391 0.998782 0.7076182073 -0.99863 0.997261 0.7077872074 -0.997564 0.995134 0.7079562075 -0.996195 0.992404 0.7081232076 -0.994522 0.989074 0.7082892077 -0.992546 0.985148 0.7084532078 -0.990268 0.980631 0.7086152079 -0.987688 0.975528 0.7087762080 -0.984808 0.969846 0.7089352081 -0.981627 0.963592 0.7090912082 -0.978148 0.956773 0.7092452083 -0.97437 0.949397 0.7093962084 -0.970296 0.941474 0.7095442085 -0.965926 0.933013 0.7096892086 -0.961262 0.924024 0.7098312087 -0.956305 0.914519 0.7099692088 -0.951057 0.904508 0.7101052089 -0.945519 0.894005 0.7102362090 -0.939693 0.883022 0.7103632091 -0.93358 0.871572 0.7104872092 -0.927184 0.85967 0.7106062093 -0.920505 0.847329 0.7107212094 -0.913545 0.834565 0.7108322095 -0.906308 0.821394 0.7109382096 -0.898794 0.807831 0.711042097 -0.891007 0.793893 0.7111362098 -0.882948 0.779596 0.7112282099 -0.87462 0.76496 0.7113152100 -0.866025 0.75 0.7113972101 -0.857167 0.734736 0.7114732102 -0.848048 0.719186 0.7115442103 -0.838671 0.703368 0.711612104 -0.829038 0.687303 0.7116712105 -0.819152 0.67101 0.7117252106 -0.809017 0.654508 0.7117752107 -0.798636 0.637819 0.7118192108 -0.788011 0.620961 0.7118572109 -0.777146 0.603956 0.7118892110 -0.766044 0.586824 0.7119162111 -0.75471 0.569587 0.711936
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