n=65536

by "Jon G." <jon8338@[EMAIL PROTECTED] > May 10, 2008 at 07:30 PM
1 + x + x^2 + x^3 + ... + x^N = 0

for N=124 to N=136 the roots lie on the curve,

REAL:
27N/50000 +(11/1000)sin(2piN/5 - 5pi/12) +3 - pi

COMPLEX
N/1000 + (1/100)(2piN/5 - 7pi/5) - 113/103

allowing for the extrapolation of the next 1500 roots,

      n=137 : -0.205303268898324 + 0.965965231163701I

      n=138 : -0.209190129288245 + 0.968597943803728I

      n=139 : -0.222643682974959 + 0.958087378640777I

      n=140 : -0.227817837678973 + 0.947576813477825I

      n=141 : -0.218308349108466 + 0.950209526117852I

      n=142 : -0.208003268898324 + 0.960965231163701I

      n=143 : -0.211890129288245 + 0.963597943803728I

      n=144 : -0.225343682974958 + 0.953087378640777I

      n=145 : -0.230517837678973 + 0.942576813477825I

      n=146 : -0.221008349108466 + 0.945209526117852I

      n=147 : -0.210703268898324 + 0.955965231163701I

      n=148 : -0.214590129288245 + 0.958597943803728I

      n=149 : -0.228043682974958 + 0.948087378640777I

      n=150 : -0.233217837678973 + 0.937576813477825I

      n=151 : -0.223708349108465 + 0.940209526117852I

      n=152 : -0.213403268898324 + 0.950965231163701I

      n=153 : -0.217290129288245 + 0.953597943803728I

      n=154 : -0.230743682974959 + 0.943087378640777I

      n=155 : -0.235917837678973 + 0.932576813477825I

      n=156 : -0.226408349108465 + 0.935209526117852I

      n=157 : -0.216103268898324 + 0.945965231163701I

      n=158 : -0.219990129288245 + 0.948597943803728I

      n=159 : -0.233443682974958 + 0.938087378640777I

      n=160 : -0.238617837678973 + 0.927576813477825I

      n=161 : -0.229108349108465 + 0.930209526117852I

      n=162 : -0.218803268898324 + 0.940965231163701I

      n=163 : -0.222690129288245 + 0.943597943803728I

      n=164 : -0.236143682974958 + 0.933087378640777I

      n=165 : -0.241317837678973 + 0.922576813477825I

      n=166 : -0.231808349108465 + 0.925209526117852I

      n=167 : -0.221503268898324 + 0.935965231163701I

      n=168 : -0.225390129288245 + 0.938597943803728I

      n=169 : -0.238843682974959 + 0.928087378640777I

      n=170 : -0.244017837678973 + 0.917576813477825I

      n=171 : -0.234508349108466 + 0.920209526117852I

      n=172 : -0.224203268898324 + 0.930965231163701I

      n=173 : -0.228090129288245 + 0.933597943803728I

      n=174 : -0.241543682974958 + 0.923087378640777I

      n=175 : -0.246717837678973 + 0.912576813477825I

      n=176 : -0.237208349108466 + 0.915209526117852I

      n=177 : -0.226903268898324 + 0.925965231163701I

      n=178 : -0.230790129288245 + 0.928597943803728I

      n=179 : -0.244243682974959 + 0.918087378640777I

      n=180 : -0.249417837678973 + 0.907576813477825I

      n=181 : -0.239908349108465 + 0.910209526117852I

      n=182 : -0.229603268898324 + 0.920965231163701I

      n=183 : -0.233490129288245 + 0.923597943803728I

      n=184 : -0.246943682974958 + 0.913087378640777I

      n=185 : -0.252117837678973 + 0.902576813477825I

      n=186 : -0.242608349108465 + 0.905209526117852I

      n=187 : -0.232303268898324 + 0.915965231163701I

      n=188 : -0.236190129288245 + 0.918597943803728I

      n=189 : -0.249643682974959 + 0.908087378640777I

      n=190 : -0.254817837678973 + 0.897576813477825I

      n=191 : -0.245308349108465 + 0.900209526117852I

      n=192 : -0.235003268898324 + 0.910965231163701I

      n=193 : -0.238890129288245 + 0.913597943803728I

      n=194 : -0.252343682974958 + 0.903087378640777I

      n=195 : -0.257517837678973 + 0.892576813477825I

      n=196 : -0.248008349108466 + 0.895209526117852I

      n=197 : -0.237703268898324 + 0.905965231163701I

      n=198 : -0.241590129288245 + 0.908597943803728I

      n=199 : -0.255043682974958 + 0.898087378640777I

      n=200 : -0.260217837678973 + 0.887576813477825I

      n=201 : -0.250708349108465 + 0.890209526117852I

      n=202 : -0.240403268898324 + 0.900965231163701I

      n=203 : -0.244290129288245 + 0.903597943803728I

      n=204 : -0.257743682974958 + 0.893087378640777I

      n=205 : -0.262917837678973 + 0.882576813477825I

      n=206 : -0.253408349108466 + 0.885209526117852I

      n=207 : -0.243103268898324 + 0.895965231163701I

      n=208 : -0.246990129288245 + 0.898597943803728I

      n=209 : -0.260443682974958 + 0.888087378640777I

      n=210 : -0.265617837678973 + 0.877576813477825I

      n=211 : -0.256108349108465 + 0.880209526117852I

      n=212 : -0.245803268898324 + 0.890965231163702I

      n=213 : -0.249690129288245 + 0.893597943803728I

      n=214 : -0.263143682974958 + 0.883087378640777I

      n=215 : -0.268317837678973 + 0.872576813477825I

      n=216 : -0.258808349108465 + 0.875209526117852I

      n=217 : -0.248503268898324 + 0.885965231163701I

      n=218 : -0.252390129288245 + 0.888597943803728I

      n=219 : -0.265843682974959 + 0.878087378640777I

      n=220 : -0.271017837678973 + 0.867576813477825I

      n=221 : -0.261508349108465 + 0.870209526117852I

      n=222 : -0.251203268898324 + 0.880965231163701I

      n=223 : -0.255090129288245 + 0.883597943803728I

      n=224 : -0.268543682974959 + 0.873087378640777I

      n=225 : -0.273717837678973 + 0.862576813477825I

      n=226 : -0.264208349108465 + 0.865209526117852I

      n=227 : -0.253903268898324 + 0.875965231163701I

      n=228 : -0.257790129288245 + 0.878597943803728I

      n=229 : -0.271243682974958 + 0.868087378640777I

      n=230 : -0.276417837678973 + 0.857576813477825I

      n=231 : -0.266908349108466 + 0.860209526117852I

      n=232 : -0.256603268898324 + 0.870965231163701I

      n=233 : -0.260490129288245 + 0.873597943803728I

      n=234 : -0.273943682974958 + 0.863087378640777I

      n=235 : -0.279117837678973 + 0.852576813477825I

      n=236 : -0.269608349108466 + 0.855209526117852I

      n=237 : -0.259303268898324 + 0.865965231163701I

      n=238 : -0.263190129288245 + 0.868597943803728I

      n=239 : -0.276643682974958 + 0.858087378640777I

      n=240 : -0.281817837678973 + 0.847576813477825I

      n=241 : -0.272308349108465 + 0.850209526117852I

      n=242 : -0.262003268898324 + 0.860965231163701I

      n=243 : -0.265890129288245 + 0.863597943803728I

      n=244 : -0.279343682974959 + 0.853087378640777I

      n=245 : -0.284517837678973 + 0.842576813477825I

      n=246 : -0.275008349108466 + 0.845209526117852I

      n=247 : -0.264703268898324 + 0.855965231163701I

      n=248 : -0.268590129288245 + 0.858597943803728I

      n=249 : -0.282043682974959 + 0.848087378640777I

      n=250 : -0.287217837678973 + 0.837576813477825I

      n=251 : -0.277708349108465 + 0.840209526117852I

      n=252 : -0.267403268898324 + 0.850965231163701I

      n=253 : -0.271290129288245 + 0.853597943803728I

      n=254 : -0.284743682974958 + 0.843087378640777I

      n=255 : -0.289917837678973 + 0.832576813477825I

      n=256 : -0.280408349108466 + 0.835209526117852I

      n=257 : -0.270103268898324 + 0.845965231163701I

      n=258 : -0.273990129288245 + 0.848597943803728I

      n=259 : -0.287443682974958 + 0.838087378640777I

      n=260 : -0.292617837678973 + 0.827576813477825I

      n=261 : -0.283108349108466 + 0.830209526117852I

      n=262 : -0.272803268898324 + 0.840965231163702I

      n=263 : -0.276690129288245 + 0.843597943803728I

      n=264 : -0.290143682974958 + 0.833087378640777I

      n=265 : -0.295317837678973 + 0.822576813477825I

      n=266 : -0.285808349108465 + 0.825209526117852I

      n=267 : -0.275503268898324 + 0.835965231163701I

      n=268 : -0.279390129288245 + 0.838597943803728I

      n=269 : -0.292843682974958 + 0.828087378640777I

      n=270 : -0.298017837678973 + 0.817576813477825I

      n=271 : -0.288508349108465 + 0.820209526117852I

      n=272 : -0.278203268898324 + 0.830965231163701I

      n=273 : -0.282090129288245 + 0.833597943803728I

      n=274 : -0.295543682974959 + 0.823087378640777I

      n=275 : -0.300717837678973 + 0.812576813477825I

      n=276 : -0.291208349108465 + 0.815209526117852I

      n=277 : -0.280903268898324 + 0.825965231163701I

      n=278 : -0.284790129288245 + 0.828597943803728I

      n=279 : -0.298243682974958 + 0.818087378640777I

      n=280 : -0.303417837678973 + 0.807576813477825I

      n=281 : -0.293908349108465 + 0.810209526117852I

      n=282 : -0.283603268898324 + 0.820965231163701I

      n=283 : -0.287490129288245 + 0.823597943803728I

      n=284 : -0.300943682974959 + 0.813087378640777I

      n=285 : -0.306117837678973 + 0.802576813477825I

      n=286 : -0.296608349108466 + 0.805209526117852I

      n=287 : -0.286303268898324 + 0.815965231163701I

      n=288 : -0.290190129288245 + 0.818597943803728I

      n=289 : -0.303643682974958 + 0.808087378640777I

      n=290 : -0.308817837678973 + 0.797576813477825I

      n=291 : -0.299308349108466 + 0.800209526117851I

      n=292 : -0.289003268898324 + 0.810965231163701I

      n=293 : -0.292890129288245 + 0.813597943803728I

      n=294 : -0.306343682974959 + 0.803087378640776I

      n=295 : -0.311517837678973 + 0.792576813477825I

      n=296 : -0.302008349108466 + 0.795209526117852I

      n=297 : -0.291703268898324 + 0.805965231163701I

      n=298 : -0.295590129288245 + 0.808597943803728I

      n=299 : -0.309043682974959 + 0.798087378640777I

      n=300 : -0.314217837678973 + 0.787576813477825I

      n=301 : -0.304708349108466 + 0.790209526117852I

      n=302 : -0.294403268898324 + 0.800965231163701I

      n=303 : -0.298290129288245 + 0.803597943803728I

      n=304 : -0.311743682974958 + 0.793087378640777I

      n=305 : -0.316917837678973 + 0.782576813477825I

      n=306 : -0.307408349108465 + 0.785209526117852I

      n=307 : -0.297103268898324 + 0.795965231163701I

      n=308 : -0.300990129288245 + 0.798597943803728I

      n=309 : -0.314443682974958 + 0.788087378640777I

      n=310 : -0.319617837678973 + 0.777576813477825I

      n=311 : -0.310108349108466 + 0.780209526117852I

      n=312 : -0.299803268898324 + 0.790965231163701I

      n=313 : -0.303690129288245 + 0.793597943803728I

      n=314 : -0.317143682974958 + 0.783087378640777I

      n=315 : -0.322317837678973 + 0.772576813477825I

      n=316 : -0.312808349108465 + 0.775209526117852I

      n=317 : -0.302503268898324 + 0.785965231163702I

      n=318 : -0.306390129288245 + 0.788597943803728I

      n=319 : -0.319843682974958 + 0.778087378640777I

      n=320 : -0.325017837678973 + 0.767576813477825I

      n=321 : -0.315508349108466 + 0.770209526117852I

      n=322 : -0.305203268898324 + 0.780965231163701I

      n=323 : -0.309090129288244 + 0.783597943803728I

      n=324 : -0.322543682974958 + 0.773087378640777I

      n=325 : -0.327717837678973 + 0.762576813477825I

      n=326 : -0.318208349108466 + 0.765209526117852I

      n=327 : -0.307903268898324 + 0.775965231163701I

      n=328 : -0.311790129288244 + 0.778597943803728I

      n=329 : -0.325243682974958 + 0.768087378640777I

      n=330 : -0.330417837678973 + 0.757576813477825I

      n=331 : -0.320908349108465 + 0.760209526117852I

      n=332 : -0.310603268898324 + 0.770965231163701I

      n=333 : -0.314490129288245 + 0.773597943803728I

      n=334 : -0.327943682974959 + 0.763087378640776I

      n=335 : -0.333117837678973 + 0.752576813477825I

      n=336 : -0.323608349108465 + 0.755209526117852I

      n=337 : -0.313303268898324 + 0.765965231163701I

      n=338 : -0.317190129288245 + 0.768597943803728I

      n=339 : -0.330643682974958 + 0.758087378640777I

      n=340 : -0.335817837678973 + 0.747576813477825I

      n=341 : -0.326308349108466 + 0.750209526117852I

      n=342 : -0.316003268898324 + 0.760965231163701I

      n=343 : -0.319890129288245 + 0.763597943803728I

      n=344 : -0.333343682974959 + 0.753087378640777I

      n=345 : -0.338517837678973 + 0.742576813477825I

      n=346 : -0.329008349108466 + 0.745209526117851I

      n=347 : -0.318703268898324 + 0.755965231163701I

      n=348 : -0.322590129288244 + 0.758597943803728I

      n=349 : -0.336043682974959 + 0.748087378640776I

      n=350 : -0.341217837678973 + 0.737576813477825I

      n=351 : -0.331708349108466 + 0.740209526117852I

      n=352 : -0.321403268898324 + 0.750965231163701I

      n=353 : -0.325290129288245 + 0.753597943803728I

      n=354 : -0.338743682974958 + 0.743087378640777I

      n=355 : -0.343917837678973 + 0.732576813477825I

      n=356 : -0.334408349108465 + 0.735209526117852I

      n=357 : -0.324103268898324 + 0.745965231163701I

      n=358 : -0.327990129288245 + 0.748597943803728I

      n=359 : -0.341443682974958 + 0.738087378640777I

      n=360 : -0.346617837678973 + 0.727576813477825I

      n=361 : -0.337108349108466 + 0.730209526117851I

      n=362 : -0.326803268898324 + 0.740965231163701I

      n=363 : -0.330690129288245 + 0.743597943803728I

      n=364 : -0.344143682974958 + 0.733087378640777I

      n=365 : -0.349317837678973 + 0.722576813477825I

      n=366 : -0.339808349108466 + 0.725209526117852I

      n=367 : -0.329503268898324 + 0.735965231163702I

      n=368 : -0.333390129288245 + 0.738597943803728I

      n=369 : -0.346843682974959 + 0.728087378640777I

      n=370 : -0.352017837678973 + 0.717576813477825I

      n=371 : -0.342508349108465 + 0.720209526117852I

      n=372 : -0.332203268898324 + 0.730965231163701I

      n=373 : -0.336090129288245 + 0.733597943803728I

      n=374 : -0.349543682974959 + 0.723087378640776I

      n=375 : -0.354717837678973 + 0.712576813477825I

      n=376 : -0.345208349108465 + 0.715209526117852I

      n=377 : -0.334903268898324 + 0.725965231163701I

      n=378 : -0.338790129288245 + 0.728597943803728I

      n=379 : -0.352243682974958 + 0.718087378640777I

      n=380 : -0.357417837678973 + 0.707576813477825I

      n=381 : -0.347908349108466 + 0.710209526117852I

      n=382 : -0.337603268898324 + 0.720965231163701I

      n=383 : -0.341490129288244 + 0.723597943803728I

      n=384 : -0.354943682974958 + 0.713087378640777I

      n=385 : -0.360117837678973 + 0.702576813477825I

      n=386 : -0.350608349108466 + 0.705209526117852I

      n=387 : -0.340303268898324 + 0.715965231163701I

      n=388 : -0.344190129288245 + 0.718597943803728I

      n=389 : -0.357643682974959 + 0.708087378640777I

      n=390 : -0.362817837678973 + 0.697576813477825I

      n=391 : -0.353308349108465 + 0.700209526117852I

      n=392 : -0.343003268898324 + 0.710965231163701I

      n=393 : -0.346890129288245 + 0.713597943803728I

      n=394 : -0.360343682974958 + 0.703087378640777I

      n=395 : -0.365517837678973 + 0.692576813477825I

      n=396 : -0.356008349108465 + 0.695209526117852I

      n=397 : -0.345703268898324 + 0.705965231163701I

      n=398 : -0.349590129288245 + 0.708597943803728I

      n=399 : -0.363043682974958 + 0.698087378640777I

      n=400 : -0.368217837678973 + 0.687576813477825I

      n=401 : -0.358708349108466 + 0.690209526117851I

      n=402 : -0.348403268898324 + 0.700965231163701I

      n=403 : -0.352290129288245 + 0.703597943803728I

      n=404 : -0.365743682974959 + 0.693087378640776I

      n=405 : -0.370917837678973 + 0.682576813477825I

      n=406 : -0.361408349108466 + 0.685209526117852I

      n=407 : -0.351103268898324 + 0.695965231163702I

      n=408 : -0.354990129288244 + 0.698597943803728I

      n=409 : -0.368443682974958 + 0.688087378640776I

      n=410 : -0.373617837678973 + 0.677576813477825I

      n=411 : -0.364108349108465 + 0.680209526117852I

      n=412 : -0.353803268898324 + 0.690965231163701I

      n=413 : -0.357690129288245 + 0.693597943803728I

      n=414 : -0.371143682974958 + 0.683087378640777I

      n=415 : -0.376317837678973 + 0.672576813477825I

      n=416 : -0.366808349108465 + 0.675209526117852I

      n=417 : -0.356503268898324 + 0.685965231163701I

      n=418 : -0.360390129288245 + 0.688597943803728I

      n=419 : -0.373843682974958 + 0.678087378640777I

      n=420 : -0.379017837678973 + 0.667576813477825I

      n=421 : -0.369508349108466 + 0.670209526117852I

      n=422 : -0.359203268898324 + 0.680965231163702I

      n=423 : -0.363090129288245 + 0.683597943803728I

      n=424 : -0.376543682974959 + 0.673087378640776I

      n=425 : -0.381717837678973 + 0.662576813477825I

      n=426 : -0.372208349108466 + 0.665209526117852I

      n=427 : -0.361903268898324 + 0.675965231163702I

      n=428 : -0.365790129288245 + 0.678597943803728I

      n=429 : -0.379243682974959 + 0.668087378640776I

      n=430 : -0.384417837678973 + 0.657576813477825I

      n=431 : -0.374908349108465 + 0.660209526117853I

      n=432 : -0.364603268898324 + 0.670965231163702I

      n=433 : -0.368490129288245 + 0.673597943803728I

      n=434 : -0.381943682974959 + 0.663087378640776I

      n=435 : -0.387117837678973 + 0.652576813477825I

      n=436 : -0.377608349108467 + 0.655209526117851I

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      n=1603 : -1.00029012928825 + -0.496402056196272I

      n=1604 : -1.01374368297496 + -0.506912621359221I

      n=1605 : -1.01891783767897 + -0.517423186522175I

      n=1606 : -1.00940834910846 + -0.514790473882147I

      n=1607 : -0.999103268898325 + -0.5040347688363I

      n=1608 : -1.00299012928824 + -0.501402056196272I

      n=1609 : -1.01644368297496 + -0.511912621359221I

      n=1610 : -1.02161783767897 + -0.522423186522175I

      n=1611 : -1.01210834910846 + -0.519790473882147I

      n=1612 : -1.00180326889832 + -0.5090347688363I

      n=1613 : -1.00569012928824 + -0.506402056196272I

      n=1614 : -1.01914368297496 + -0.516912621359225I

      n=1615 : -1.02431783767897 + -0.527423186522175I

      n=1616 : -1.01480834910847 + -0.524790473882147I

      n=1617 : -1.00450326889832 + -0.514034768836298I

      n=1618 : -1.00839012928824 + -0.511402056196272I

      n=1619 : -1.02184368297496 + -0.521912621359223I

      n=1620 : -1.02701783767897 + -0.532423186522175I

      n=1621 : -1.01750834910847 + -0.529790473882149I

      n=1622 : -1.00720326889832 + -0.519034768836299I

      n=1623 : -1.01109012928824 + -0.516402056196271I

      n=1624 : -1.02454368297496 + -0.526912621359223I

      n=1625 : -1.02971783767897 + -0.537423186522175I

      n=1626 : -1.02020834910847 + -0.53479047388215I

      n=1627 : -1.00990326889832 + -0.524034768836301I

      n=1628 : -1.01379012928825 + -0.521402056196272I

      n=1629 : -1.02724368297496 + -0.53191262135922I

      n=1630 : -1.03241783767897 + -0.542423186522174I

      n=1631 : -1.02290834910847 + -0.539790473882152I

      n=1632 : -1.01260326889832 + -0.529034768836303I

      n=1633 : -1.01649012928825 + -0.526402056196272I

      n=1634 : -1.02994368297496 + -0.536912621359218I

      n=1635 : -1.03511783767897 + -0.547423186522174I


..
..
..
      n=65530 : -35.538417837679 + -64.4424231865221I

      n=65531 : -35.5289083491086 + -64.4397904738822I

      n=65532 : -35.5186032688984 + -64.4290347688364I

      n=65533 : -35.5224901292882 + -64.4264020561962I

      n=65534 : -35.5359436829749 + -64.4369126213591I

      n=65535 : -35.541117837679 + -64.4474231865221I

      n=65536 : -35.5316083491085 + -64.4447904738822I
2 Posts in Topic:
n=65536
"Jon G." <jo
2008-05-10 19:30:46
Re: n=65536
lwalke3@[EMAIL PROTECTED]
2008-05-10 20:12:29
Post A Reply:
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tan12V112 Thu Jul 24 14:38:04 CDT 2008.