Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [490,2,Mod(3,490)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(490, base_ring=CyclotomicField(84))
chi = DirichletCharacter(H, H._module([63, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("490.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 490 = 2 \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 490.w (of order \(84\), degree \(24\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.91266969904\) |
Analytic rank: | \(0\) |
Dimension: | \(672\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{84})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{84}]$ |
Embedding invariants
Embedding label | 243.13 | ||
Character | \(\chi\) | \(=\) | 490.243 |
Dual form | 490.2.w.a.367.13 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/490\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(197\) |
\(\chi(n)\) | \(e\left(\frac{5}{42}\right)\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.884115 | + | 0.467269i | −0.625164 | + | 0.330409i | ||||
\(3\) | 1.04098 | + | 2.38595i | 0.601009 | + | 1.37753i | 0.905229 | + | 0.424925i | \(0.139699\pi\) |
−0.304220 | + | 0.952602i | \(0.598396\pi\) | |||||||
\(4\) | 0.563320 | − | 0.826239i | 0.281660 | − | 0.413119i | ||||
\(5\) | −1.44716 | + | 1.70462i | −0.647188 | + | 0.762330i | ||||
\(6\) | −2.03522 | − | 1.62304i | −0.830876 | − | 0.662601i | ||||
\(7\) | −2.46540 | − | 0.960107i | −0.931833 | − | 0.362886i | ||||
\(8\) | −0.111964 | + | 0.993712i | −0.0395854 | + | 0.351330i | ||||
\(9\) | −2.56858 | + | 2.76828i | −0.856195 | + | 0.922759i | ||||
\(10\) | 0.482937 | − | 2.18329i | 0.152718 | − | 0.690418i | ||||
\(11\) | 0.342886 | − | 0.318152i | 0.103384 | − | 0.0959264i | −0.626788 | − | 0.779190i | \(-0.715631\pi\) |
0.730172 | + | 0.683264i | \(0.239440\pi\) | |||||||
\(12\) | 2.55776 | + | 0.483955i | 0.738363 | + | 0.139706i | ||||
\(13\) | −3.39432 | − | 2.13279i | −0.941414 | − | 0.591529i | −0.0284611 | − | 0.999595i | \(-0.509061\pi\) |
−0.912953 | + | 0.408065i | \(0.866204\pi\) | |||||||
\(14\) | 2.62833 | − | 0.303159i | 0.702450 | − | 0.0810226i | ||||
\(15\) | −5.57359 | − | 1.67836i | −1.43910 | − | 0.433352i | ||||
\(16\) | −0.365341 | − | 0.930874i | −0.0913353 | − | 0.232718i | ||||
\(17\) | −1.97706 | + | 2.29739i | −0.479508 | + | 0.557198i | −0.944668 | − | 0.328028i | \(-0.893616\pi\) |
0.465160 | + | 0.885227i | \(0.345997\pi\) | |||||||
\(18\) | 0.977397 | − | 3.64769i | 0.230375 | − | 0.859770i | ||||
\(19\) | −0.173183 | + | 0.299963i | −0.0397310 | + | 0.0688161i | −0.885207 | − | 0.465197i | \(-0.845983\pi\) |
0.845476 | + | 0.534013i | \(0.179317\pi\) | |||||||
\(20\) | 0.593213 | + | 2.15594i | 0.132646 | + | 0.482084i | ||||
\(21\) | −0.275663 | − | 6.88176i | −0.0601545 | − | 1.50172i | ||||
\(22\) | −0.154489 | + | 0.441503i | −0.0329371 | + | 0.0941287i | ||||
\(23\) | −2.25228 | + | 1.93825i | −0.469634 | + | 0.404152i | −0.855014 | − | 0.518606i | \(-0.826451\pi\) |
0.385380 | + | 0.922758i | \(0.374070\pi\) | |||||||
\(24\) | −2.48750 | + | 0.767291i | −0.507758 | + | 0.156623i | ||||
\(25\) | −0.811476 | − | 4.93371i | −0.162295 | − | 0.986742i | ||||
\(26\) | 3.99755 | + | 0.299575i | 0.783985 | + | 0.0587515i | ||||
\(27\) | −1.90759 | − | 0.667496i | −0.367117 | − | 0.128460i | ||||
\(28\) | −2.18209 | + | 1.49616i | −0.412376 | + | 0.282748i | ||||
\(29\) | −1.26558 | + | 2.62800i | −0.235012 | + | 0.488007i | −0.984805 | − | 0.173665i | \(-0.944439\pi\) |
0.749793 | + | 0.661673i | \(0.230153\pi\) | |||||||
\(30\) | 5.71195 | − | 1.12050i | 1.04285 | − | 0.204574i | ||||
\(31\) | 2.53765 | − | 1.46512i | 0.455776 | − | 0.263143i | −0.254490 | − | 0.967075i | \(-0.581908\pi\) |
0.710267 | + | 0.703933i | \(0.248574\pi\) | |||||||
\(32\) | 0.757972 | + | 0.652287i | 0.133992 | + | 0.115309i | ||||
\(33\) | 1.11603 | + | 0.486919i | 0.194276 | + | 0.0847617i | ||||
\(34\) | 0.674454 | − | 2.95498i | 0.115668 | − | 0.506774i | ||||
\(35\) | 5.20444 | − | 2.81315i | 0.879711 | − | 0.475509i | ||||
\(36\) | 0.840322 | + | 3.68169i | 0.140054 | + | 0.613615i | ||||
\(37\) | −1.63066 | + | 8.61826i | −0.268079 | + | 1.41683i | 0.546829 | + | 0.837244i | \(0.315835\pi\) |
−0.814909 | + | 0.579590i | \(0.803213\pi\) | |||||||
\(38\) | 0.0129511 | − | 0.346125i | 0.00210094 | − | 0.0561488i | ||||
\(39\) | 1.55531 | − | 10.3188i | 0.249050 | − | 1.65234i | ||||
\(40\) | −1.53187 | − | 1.62891i | −0.242211 | − | 0.257554i | ||||
\(41\) | 3.84792 | − | 3.06861i | 0.600944 | − | 0.479237i | −0.275135 | − | 0.961406i | \(-0.588722\pi\) |
0.876078 | + | 0.482169i | \(0.160151\pi\) | |||||||
\(42\) | 3.45935 | + | 5.95546i | 0.533789 | + | 0.918947i | ||||
\(43\) | −4.68323 | + | 0.527673i | −0.714185 | + | 0.0804693i | −0.461578 | − | 0.887100i | \(-0.652717\pi\) |
−0.252607 | + | 0.967569i | \(0.581288\pi\) | |||||||
\(44\) | −0.0697147 | − | 0.462527i | −0.0105099 | − | 0.0697286i | ||||
\(45\) | −1.00172 | − | 8.38460i | −0.149328 | − | 1.24990i | ||||
\(46\) | 1.08560 | − | 2.76606i | 0.160062 | − | 0.407833i | ||||
\(47\) | 4.10248 | + | 7.76226i | 0.598408 | + | 1.13224i | 0.978296 | + | 0.207210i | \(0.0664384\pi\) |
−0.379889 | + | 0.925032i | \(0.624038\pi\) | |||||||
\(48\) | 1.84070 | − | 1.84070i | 0.265683 | − | 0.265683i | ||||
\(49\) | 5.15639 | + | 4.73409i | 0.736627 | + | 0.676299i | ||||
\(50\) | 3.02281 | + | 3.98279i | 0.427489 | + | 0.563252i | ||||
\(51\) | −7.53952 | − | 2.32563i | −1.05574 | − | 0.325654i | ||||
\(52\) | −3.67428 | + | 1.60307i | −0.509531 | + | 0.222306i | ||||
\(53\) | −1.72713 | − | 9.12811i | −0.237240 | − | 1.25384i | −0.875195 | − | 0.483770i | \(-0.839267\pi\) |
0.637956 | − | 0.770073i | \(-0.279780\pi\) | |||||||
\(54\) | 1.99843 | − | 0.301215i | 0.271952 | − | 0.0409902i | ||||
\(55\) | 0.0461189 | + | 1.04491i | 0.00621867 | + | 0.140895i | ||||
\(56\) | 1.23011 | − | 2.34240i | 0.164380 | − | 0.313016i | ||||
\(57\) | −0.895974 | − | 0.100952i | −0.118675 | − | 0.0133714i | ||||
\(58\) | −0.109065 | − | 2.91482i | −0.0143209 | − | 0.382735i | ||||
\(59\) | −0.345750 | − | 0.0521134i | −0.0450128 | − | 0.00678459i | 0.126497 | − | 0.991967i | \(-0.459627\pi\) |
−0.171510 | + | 0.985182i | \(0.554865\pi\) | |||||||
\(60\) | −4.52645 | + | 3.65966i | −0.584362 | + | 0.472461i | ||||
\(61\) | −2.93584 | − | 4.30609i | −0.375896 | − | 0.551339i | 0.590947 | − | 0.806711i | \(-0.298754\pi\) |
−0.966843 | + | 0.255372i | \(0.917802\pi\) | |||||||
\(62\) | −1.55898 | + | 2.48110i | −0.197990 | + | 0.315100i | ||||
\(63\) | 8.99043 | − | 4.35879i | 1.13269 | − | 0.549156i | ||||
\(64\) | −0.974928 | − | 0.222521i | −0.121866 | − | 0.0278151i | ||||
\(65\) | 8.54771 | − | 2.69955i | 1.06021 | − | 0.334837i | ||||
\(66\) | −1.21422 | + | 0.0909933i | −0.149460 | + | 0.0112005i | ||||
\(67\) | −9.08721 | − | 2.43491i | −1.11018 | − | 0.297472i | −0.343276 | − | 0.939235i | \(-0.611537\pi\) |
−0.766903 | + | 0.641763i | \(0.778203\pi\) | |||||||
\(68\) | 0.784472 | + | 2.92769i | 0.0951312 | + | 0.355035i | ||||
\(69\) | −6.96913 | − | 3.35615i | −0.838984 | − | 0.404034i | ||||
\(70\) | −3.28683 | + | 4.91902i | −0.392851 | + | 0.587935i | ||||
\(71\) | −11.8321 | + | 5.69802i | −1.40421 | + | 0.676230i | −0.974010 | − | 0.226505i | \(-0.927270\pi\) |
−0.430197 | + | 0.902735i | \(0.641556\pi\) | |||||||
\(72\) | −2.46328 | − | 2.86238i | −0.290300 | − | 0.337335i | ||||
\(73\) | −6.40025 | + | 12.1099i | −0.749093 | + | 1.41735i | 0.154072 | + | 0.988060i | \(0.450761\pi\) |
−0.903165 | + | 0.429294i | \(0.858763\pi\) | |||||||
\(74\) | −2.58535 | − | 8.38150i | −0.300541 | − | 0.974329i | ||||
\(75\) | 10.9268 | − | 7.07202i | 1.26172 | − | 0.816607i | ||||
\(76\) | 0.150283 | + | 0.312066i | 0.0172386 | + | 0.0357964i | ||||
\(77\) | −1.15081 | + | 0.455164i | −0.131147 | + | 0.0518708i | ||||
\(78\) | 3.44659 | + | 9.84979i | 0.390250 | + | 1.11527i | ||||
\(79\) | −13.7173 | − | 7.91968i | −1.54332 | − | 0.891034i | −0.998626 | − | 0.0523959i | \(-0.983314\pi\) |
−0.544689 | − | 0.838638i | \(-0.683352\pi\) | |||||||
\(80\) | 2.11549 | + | 0.724351i | 0.236519 | + | 0.0809850i | ||||
\(81\) | 0.453472 | + | 6.05117i | 0.0503858 | + | 0.672352i | ||||
\(82\) | −1.96814 | + | 4.51102i | −0.217344 | + | 0.498158i | ||||
\(83\) | 3.39830 | + | 5.40836i | 0.373012 | + | 0.593644i | 0.979499 | − | 0.201449i | \(-0.0645649\pi\) |
−0.606488 | + | 0.795093i | \(0.707422\pi\) | |||||||
\(84\) | −5.84126 | − | 3.64887i | −0.637334 | − | 0.398124i | ||||
\(85\) | −1.05506 | − | 6.69483i | −0.114437 | − | 0.726156i | ||||
\(86\) | 3.89395 | − | 2.65485i | 0.419895 | − | 0.286280i | ||||
\(87\) | −7.58770 | − | 0.283912i | −0.813487 | − | 0.0304385i | ||||
\(88\) | 0.277760 | + | 0.376352i | 0.0296093 | + | 0.0401192i | ||||
\(89\) | 12.7478 | + | 11.8283i | 1.35127 | + | 1.25379i | 0.939519 | + | 0.342496i | \(0.111272\pi\) |
0.411749 | + | 0.911297i | \(0.364918\pi\) | |||||||
\(90\) | 4.80350 | + | 6.94488i | 0.506333 | + | 0.732054i | ||||
\(91\) | 6.32064 | + | 8.51708i | 0.662583 | + | 0.892833i | ||||
\(92\) | 0.332698 | + | 2.95278i | 0.0346862 | + | 0.307848i | ||||
\(93\) | 6.13733 | + | 4.52955i | 0.636411 | + | 0.469693i | ||||
\(94\) | −7.25412 | − | 4.94578i | −0.748206 | − | 0.510118i | ||||
\(95\) | −0.260699 | − | 0.729305i | −0.0267472 | − | 0.0748251i | ||||
\(96\) | −0.767291 | + | 2.48750i | −0.0783113 | + | 0.253879i | ||||
\(97\) | 10.4936 | + | 10.4936i | 1.06547 | + | 1.06547i | 0.997701 | + | 0.0677663i | \(0.0215872\pi\) |
0.0677663 | + | 0.997701i | \(0.478413\pi\) | |||||||
\(98\) | −6.77094 | − | 1.77607i | −0.683968 | − | 0.179410i | ||||
\(99\) | 1.76640i | 0.177530i | ||||||||
\(100\) | −4.53354 | − | 2.10879i | −0.453354 | − | 0.210879i | ||||
\(101\) | 13.0075 | + | 5.10508i | 1.29430 | + | 0.507974i | 0.909760 | − | 0.415135i | \(-0.136266\pi\) |
0.384538 | + | 0.923109i | \(0.374361\pi\) | |||||||
\(102\) | 7.75250 | − | 1.46685i | 0.767612 | − | 0.145240i | ||||
\(103\) | −0.678668 | + | 0.919563i | −0.0668712 | + | 0.0906072i | −0.836757 | − | 0.547575i | \(-0.815551\pi\) |
0.769886 | + | 0.638182i | \(0.220313\pi\) | |||||||
\(104\) | 2.49942 | − | 3.13418i | 0.245088 | − | 0.307331i | ||||
\(105\) | 12.1297 | + | 9.48908i | 1.18374 | + | 0.926040i | ||||
\(106\) | 5.79226 | + | 7.26327i | 0.562594 | + | 0.705471i | ||||
\(107\) | −3.36408 | + | 0.125875i | −0.325218 | + | 0.0121688i | −0.199502 | − | 0.979897i | \(-0.563932\pi\) |
−0.125716 | + | 0.992066i | \(0.540123\pi\) | |||||||
\(108\) | −1.62610 | + | 1.20011i | −0.156471 | + | 0.115481i | ||||
\(109\) | −9.38078 | − | 10.1101i | −0.898516 | − | 0.968370i | 0.101133 | − | 0.994873i | \(-0.467753\pi\) |
−0.999649 | + | 0.0265031i | \(0.991563\pi\) | |||||||
\(110\) | −0.529027 | − | 0.902268i | −0.0504407 | − | 0.0860279i | ||||
\(111\) | −22.2602 | + | 5.08074i | −2.11284 | + | 0.482243i | ||||
\(112\) | 0.00697341 | + | 2.64574i | 0.000658926 | + | 0.249999i | ||||
\(113\) | 14.2703 | − | 8.96659i | 1.34243 | − | 0.843506i | 0.346898 | − | 0.937903i | \(-0.387235\pi\) |
0.995535 | + | 0.0943967i | \(0.0300922\pi\) | |||||||
\(114\) | 0.839317 | − | 0.329407i | 0.0786092 | − | 0.0308518i | ||||
\(115\) | −0.0445722 | − | 6.64424i | −0.00415638 | − | 0.619579i | ||||
\(116\) | 1.45843 | + | 2.52607i | 0.135412 | + | 0.234540i | ||||
\(117\) | 14.6227 | − | 3.91815i | 1.35187 | − | 0.362233i | ||||
\(118\) | 0.330034 | − | 0.115484i | 0.0303821 | − | 0.0106311i | ||||
\(119\) | 7.07999 | − | 3.76579i | 0.649021 | − | 0.345209i | ||||
\(120\) | 2.29185 | − | 5.35063i | 0.209217 | − | 0.488444i | ||||
\(121\) | −0.805681 | + | 10.7511i | −0.0732437 | + | 0.977369i | ||||
\(122\) | 4.60773 | + | 2.43525i | 0.417164 | + | 0.220478i | ||||
\(123\) | 11.3271 | + | 5.98656i | 1.02133 | + | 0.539790i | ||||
\(124\) | 0.218976 | − | 2.92204i | 0.0196647 | − | 0.262407i | ||||
\(125\) | 9.58445 | + | 5.75659i | 0.857259 | + | 0.514885i | ||||
\(126\) | −5.91185 | + | 8.05462i | −0.526669 | + | 0.717562i | ||||
\(127\) | 1.88808 | − | 0.660669i | 0.167540 | − | 0.0586249i | −0.245206 | − | 0.969471i | \(-0.578855\pi\) |
0.412746 | + | 0.910846i | \(0.364570\pi\) | |||||||
\(128\) | 0.965926 | − | 0.258819i | 0.0853766 | − | 0.0228766i | ||||
\(129\) | −6.13413 | − | 10.6246i | −0.540080 | − | 0.935446i | ||||
\(130\) | −6.29575 | + | 6.38079i | −0.552174 | + | 0.559632i | ||||
\(131\) | −13.1512 | + | 5.16148i | −1.14903 | + | 0.450960i | −0.861973 | − | 0.506954i | \(-0.830772\pi\) |
−0.287055 | + | 0.957914i | \(0.592676\pi\) | |||||||
\(132\) | 1.03099 | − | 0.647816i | 0.0897364 | − | 0.0563851i | ||||
\(133\) | 0.714962 | − | 0.573253i | 0.0619951 | − | 0.0497073i | ||||
\(134\) | 9.17190 | − | 2.09343i | 0.792331 | − | 0.180844i | ||||
\(135\) | 3.89842 | − | 2.28576i | 0.335522 | − | 0.196727i | ||||
\(136\) | −2.06158 | − | 2.22186i | −0.176779 | − | 0.190523i | ||||
\(137\) | 7.11634 | − | 5.25210i | 0.607990 | − | 0.448717i | −0.245810 | − | 0.969318i | \(-0.579054\pi\) |
0.853800 | + | 0.520601i | \(0.174292\pi\) | |||||||
\(138\) | 7.72974 | − | 0.289226i | 0.657999 | − | 0.0246206i | ||||
\(139\) | 4.83143 | + | 6.05843i | 0.409797 | + | 0.513869i | 0.943306 | − | 0.331926i | \(-0.107698\pi\) |
−0.533509 | + | 0.845795i | \(0.679127\pi\) | |||||||
\(140\) | 0.607430 | − | 5.88481i | 0.0513372 | − | 0.497358i | ||||
\(141\) | −14.2498 | + | 17.8686i | −1.20005 | + | 1.50481i | ||||
\(142\) | 7.79840 | − | 10.5665i | 0.654427 | − | 0.886717i | ||||
\(143\) | −1.84241 | + | 0.348604i | −0.154070 | + | 0.0291517i | ||||
\(144\) | 3.51532 | + | 1.37966i | 0.292944 | + | 0.114972i | ||||
\(145\) | −2.64826 | − | 5.96046i | −0.219926 | − | 0.494989i | ||||
\(146\) | − | 13.6972i | − | 1.13359i | ||||||
\(147\) | −5.92760 | + | 17.2310i | −0.488901 | + | 1.42118i | ||||
\(148\) | 6.20216 | + | 6.20216i | 0.509814 | + | 0.509814i | ||||
\(149\) | −4.10899 | + | 13.3210i | −0.336621 | + | 1.09130i | 0.616155 | + | 0.787625i | \(0.288690\pi\) |
−0.952776 | + | 0.303674i | \(0.901787\pi\) | |||||||
\(150\) | −6.35605 | + | 11.3583i | −0.518970 | + | 0.927397i | ||||
\(151\) | 18.1311 | + | 12.3616i | 1.47549 | + | 1.00597i | 0.991388 | + | 0.130957i | \(0.0418050\pi\) |
0.484099 | + | 0.875013i | \(0.339147\pi\) | |||||||
\(152\) | −0.278686 | − | 0.205680i | −0.0226044 | − | 0.0166828i | ||||
\(153\) | −1.28155 | − | 11.3741i | −0.103607 | − | 0.919541i | ||||
\(154\) | 0.804766 | − | 0.940155i | 0.0648499 | − | 0.0757599i | ||||
\(155\) | −1.17491 | + | 6.44600i | −0.0943714 | + | 0.517755i | ||||
\(156\) | −7.64968 | − | 7.09787i | −0.612465 | − | 0.568284i | ||||
\(157\) | −4.15527 | − | 5.63020i | −0.331627 | − | 0.449339i | 0.606780 | − | 0.794870i | \(-0.292461\pi\) |
−0.938407 | + | 0.345531i | \(0.887699\pi\) | |||||||
\(158\) | 15.8283 | + | 0.592253i | 1.25923 | + | 0.0471171i | ||||
\(159\) | 19.9813 | − | 13.6230i | 1.58462 | − | 1.08037i | ||||
\(160\) | −2.20881 | + | 0.348094i | −0.174622 | + | 0.0275192i | ||||
\(161\) | 7.41370 | − | 2.61612i | 0.584282 | − | 0.206179i | ||||
\(162\) | −3.22844 | − | 5.13804i | −0.253650 | − | 0.403682i | ||||
\(163\) | −4.52082 | + | 10.3618i | −0.354098 | + | 0.811601i | 0.644786 | + | 0.764363i | \(0.276947\pi\) |
−0.998884 | + | 0.0472377i | \(0.984958\pi\) | |||||||
\(164\) | −0.367797 | − | 4.90791i | −0.0287201 | − | 0.383243i | ||||
\(165\) | −2.44508 | + | 1.19776i | −0.190349 | + | 0.0932456i | ||||
\(166\) | −5.53164 | − | 3.19370i | −0.429339 | − | 0.247879i | ||||
\(167\) | 1.48618 | + | 4.24726i | 0.115004 | + | 0.328663i | 0.986970 | − | 0.160904i | \(-0.0514408\pi\) |
−0.871966 | + | 0.489566i | \(0.837155\pi\) | |||||||
\(168\) | 6.86935 | + | 0.496583i | 0.529982 | + | 0.0383122i | ||||
\(169\) | 1.33210 | + | 2.76613i | 0.102469 | + | 0.212779i | ||||
\(170\) | 4.06108 | + | 5.42600i | 0.311470 | + | 0.416155i | ||||
\(171\) | −0.385543 | − | 1.24990i | −0.0294832 | − | 0.0955821i | ||||
\(172\) | −2.20217 | + | 4.16671i | −0.167914 | + | 0.317709i | ||||
\(173\) | −7.50969 | − | 8.72642i | −0.570952 | − | 0.663458i | 0.396050 | − | 0.918229i | \(-0.370381\pi\) |
−0.967001 | + | 0.254771i | \(0.918000\pi\) | |||||||
\(174\) | 6.84107 | − | 3.29449i | 0.518620 | − | 0.249754i | ||||
\(175\) | −2.73628 | + | 12.9427i | −0.206843 | + | 0.978374i | ||||
\(176\) | −0.421429 | − | 0.202950i | −0.0317664 | − | 0.0152979i | ||||
\(177\) | −0.235578 | − | 0.879189i | −0.0177071 | − | 0.0660839i | ||||
\(178\) | −16.7975 | − | 4.50089i | −1.25903 | − | 0.337356i | ||||
\(179\) | −11.0204 | + | 0.825868i | −0.823706 | + | 0.0617283i | −0.479912 | − | 0.877317i | \(-0.659331\pi\) |
−0.343794 | + | 0.939045i | \(0.611712\pi\) | |||||||
\(180\) | −7.49197 | − | 3.89555i | −0.558418 | − | 0.290357i | ||||
\(181\) | 6.85434 | + | 1.56446i | 0.509479 | + | 0.116285i | 0.469530 | − | 0.882917i | \(-0.344423\pi\) |
0.0399488 | + | 0.999202i | \(0.487281\pi\) | |||||||
\(182\) | −9.56794 | − | 4.57665i | −0.709223 | − | 0.339244i | ||||
\(183\) | 7.21795 | − | 11.4873i | 0.533567 | − | 0.849166i | ||||
\(184\) | −1.67388 | − | 2.45514i | −0.123400 | − | 0.180995i | ||||
\(185\) | −12.3311 | − | 15.2516i | −0.906598 | − | 1.12132i | ||||
\(186\) | −7.54262 | − | 1.13687i | −0.553052 | − | 0.0833592i | ||||
\(187\) | 0.0530110 | + | 1.41675i | 0.00387655 | + | 0.103603i | ||||
\(188\) | 8.72449 | + | 0.983014i | 0.636299 | + | 0.0716937i | ||||
\(189\) | 4.06212 | + | 3.47714i | 0.295475 | + | 0.252925i | ||||
\(190\) | 0.571270 | + | 0.522973i | 0.0414443 | + | 0.0379405i | ||||
\(191\) | −16.4143 | + | 2.47406i | −1.18770 | + | 0.179016i | −0.713020 | − | 0.701144i | \(-0.752673\pi\) |
−0.474676 | + | 0.880160i | \(0.657435\pi\) | |||||||
\(192\) | −0.483955 | − | 2.55776i | −0.0349265 | − | 0.184591i | ||||
\(193\) | 10.2666 | − | 4.47925i | 0.739003 | − | 0.322424i | 0.00354485 | − | 0.999994i | \(-0.498872\pi\) |
0.735458 | + | 0.677570i | \(0.236967\pi\) | |||||||
\(194\) | −14.1809 | − | 4.37424i | −1.01813 | − | 0.314052i | ||||
\(195\) | 15.3389 | + | 17.5842i | 1.09844 | + | 1.25923i | ||||
\(196\) | 6.81619 | − | 1.59360i | 0.486871 | − | 0.113829i | ||||
\(197\) | −0.0556935 | + | 0.0556935i | −0.00396800 | + | 0.00396800i | −0.709088 | − | 0.705120i | \(-0.750893\pi\) |
0.705120 | + | 0.709088i | \(0.250893\pi\) | |||||||
\(198\) | −0.825385 | − | 1.56170i | −0.0586575 | − | 0.110985i | ||||
\(199\) | 5.04025 | − | 12.8424i | 0.357294 | − | 0.910371i | −0.633346 | − | 0.773869i | \(-0.718319\pi\) |
0.990640 | − | 0.136502i | \(-0.0435859\pi\) | |||||||
\(200\) | 4.99355 | − | 0.253973i | 0.353097 | − | 0.0179586i | ||||
\(201\) | −3.65002 | − | 24.2163i | −0.257452 | − | 1.70808i | ||||
\(202\) | −13.8856 | + | 1.56453i | −0.976987 | + | 0.110080i | ||||
\(203\) | 5.64332 | − | 5.26398i | 0.396083 | − | 0.369459i | ||||
\(204\) | −6.16869 | + | 4.91937i | −0.431895 | + | 0.344425i | ||||
\(205\) | −0.337714 | + | 11.0000i | −0.0235870 | + | 0.768274i | ||||
\(206\) | 0.170338 | − | 1.13012i | 0.0118680 | − | 0.0787392i | ||||
\(207\) | 0.419579 | − | 11.2135i | 0.0291628 | − | 0.779392i | ||||
\(208\) | −0.745275 | + | 3.93887i | −0.0516755 | + | 0.273112i | ||||
\(209\) | 0.0360514 | + | 0.157952i | 0.00249373 | + | 0.0109257i | ||||
\(210\) | −15.1580 | − | 2.72160i | −1.04600 | − | 0.187808i | ||||
\(211\) | 4.32026 | − | 18.9283i | 0.297419 | − | 1.30308i | −0.576536 | − | 0.817072i | \(-0.695596\pi\) |
0.873955 | − | 0.486007i | \(-0.161547\pi\) | |||||||
\(212\) | −8.51493 | − | 3.71503i | −0.584808 | − | 0.255149i | ||||
\(213\) | −25.9121 | − | 22.2991i | −1.77547 | − | 1.52791i | ||||
\(214\) | 2.91542 | − | 1.68322i | 0.199294 | − | 0.115062i | ||||
\(215\) | 5.87788 | − | 8.74676i | 0.400868 | − | 0.596524i | ||||
\(216\) | 0.876882 | − | 1.82086i | 0.0596643 | − | 0.123894i | ||||
\(217\) | −7.66300 | + | 1.17568i | −0.520198 | + | 0.0798101i | ||||
\(218\) | 13.0178 | + | 4.55513i | 0.881678 | + | 0.308512i | ||||
\(219\) | −35.5560 | − | 2.66456i | −2.40265 | − | 0.180054i | ||||
\(220\) | 0.889322 | + | 0.550512i | 0.0599581 | + | 0.0371155i | ||||
\(221\) | 11.6106 | − | 3.58140i | 0.781015 | − | 0.240911i | ||||
\(222\) | 17.3065 | − | 14.8935i | 1.16154 | − | 0.999583i | ||||
\(223\) | −0.639995 | + | 1.82900i | −0.0428572 | + | 0.122479i | −0.963323 | − | 0.268344i | \(-0.913524\pi\) |
0.920466 | + | 0.390823i | \(0.127809\pi\) | |||||||
\(224\) | −1.24244 | − | 2.33588i | −0.0830139 | − | 0.156073i | ||||
\(225\) | 15.7422 | + | 10.4263i | 1.04948 | + | 0.695084i | ||||
\(226\) | −8.42674 | + | 14.5955i | −0.560539 | + | 0.970881i | ||||
\(227\) | −4.87220 | + | 18.1833i | −0.323379 | + | 1.20687i | 0.592552 | + | 0.805532i | \(0.298120\pi\) |
−0.915931 | + | 0.401335i | \(0.868546\pi\) | |||||||
\(228\) | −0.588131 | + | 0.683420i | −0.0389499 | + | 0.0452606i | ||||
\(229\) | 4.17738 | + | 10.6438i | 0.276049 | + | 0.703361i | 0.999910 | + | 0.0134152i | \(0.00427032\pi\) |
−0.723861 | + | 0.689946i | \(0.757634\pi\) | |||||||
\(230\) | 3.14405 | + | 5.85345i | 0.207313 | + | 0.385965i | ||||
\(231\) | −2.28396 | − | 2.27196i | −0.150274 | − | 0.149484i | ||||
\(232\) | −2.46978 | − | 1.55186i | −0.162149 | − | 0.101885i | ||||
\(233\) | 22.3397 | + | 4.22690i | 1.46352 | + | 0.276913i | 0.855829 | − | 0.517259i | \(-0.173048\pi\) |
0.607693 | + | 0.794172i | \(0.292095\pi\) | |||||||
\(234\) | −11.0974 | + | 10.2968i | −0.725457 | + | 0.673126i | ||||
\(235\) | −19.1687 | − | 4.24004i | −1.25043 | − | 0.276590i | ||||
\(236\) | −0.237826 | + | 0.256315i | −0.0154811 | + | 0.0166847i | ||||
\(237\) | 4.61654 | − | 40.9729i | 0.299876 | − | 2.66148i | ||||
\(238\) | −4.49989 | + | 6.63765i | −0.291685 | + | 0.430255i | ||||
\(239\) | 2.34618 | + | 1.87102i | 0.151762 | + | 0.121026i | 0.696427 | − | 0.717627i | \(-0.254772\pi\) |
−0.544665 | + | 0.838653i | \(0.683343\pi\) | |||||||
\(240\) | 0.473918 | + | 5.80149i | 0.0305913 | + | 0.374484i | ||||
\(241\) | 14.6494 | − | 21.4867i | 0.943651 | − | 1.38408i | 0.0204389 | − | 0.999791i | \(-0.493494\pi\) |
0.923212 | − | 0.384291i | \(-0.125554\pi\) | |||||||
\(242\) | −4.31132 | − | 9.88165i | −0.277142 | − | 0.635216i | ||||
\(243\) | −19.3261 | + | 10.2141i | −1.23977 | + | 0.655238i | ||||
\(244\) | −5.21168 | −0.333644 | ||||||||
\(245\) | −15.5319 | + | 1.93872i | −0.992300 | + | 0.123861i | ||||
\(246\) | −12.8118 | −0.816852 | ||||||||
\(247\) | 1.22760 | − | 0.648804i | 0.0781101 | − | 0.0412824i | ||||
\(248\) | 1.17178 | + | 2.68574i | 0.0744079 | + | 0.170545i | ||||
\(249\) | −9.36650 | + | 13.7381i | −0.593578 | + | 0.870619i | ||||
\(250\) | −11.1636 | − | 0.610980i | −0.706050 | − | 0.0386418i | ||||
\(251\) | 4.61798 | + | 3.68272i | 0.291484 | + | 0.232451i | 0.758303 | − | 0.651902i | \(-0.226029\pi\) |
−0.466819 | + | 0.884353i | \(0.654600\pi\) | |||||||
\(252\) | 1.46309 | − | 9.88363i | 0.0921658 | − | 0.622610i | ||||
\(253\) | −0.155620 | + | 1.38117i | −0.00978375 | + | 0.0868331i | ||||
\(254\) | −1.36057 | + | 1.46635i | −0.0853701 | + | 0.0920070i | ||||
\(255\) | 14.8752 | − | 9.48648i | 0.931521 | − | 0.594066i | ||||
\(256\) | −0.733052 | + | 0.680173i | −0.0458157 | + | 0.0425108i | ||||
\(257\) | −6.00897 | − | 1.13696i | −0.374829 | − | 0.0709215i | −0.00491619 | − | 0.999988i | \(-0.501565\pi\) |
−0.369913 | + | 0.929066i | \(0.620612\pi\) | |||||||
\(258\) | 10.3878 | + | 6.52711i | 0.646718 | + | 0.406360i | ||||
\(259\) | 12.2947 | − | 19.6819i | 0.763955 | − | 1.22297i | ||||
\(260\) | 2.58463 | − | 8.58316i | 0.160292 | − | 0.532305i | ||||
\(261\) | −4.02428 | − | 10.2537i | −0.249097 | − | 0.634689i | ||||
\(262\) | 9.21541 | − | 10.7085i | 0.569330 | − | 0.661573i | ||||
\(263\) | −0.402229 | + | 1.50114i | −0.0248025 | + | 0.0925641i | −0.977218 | − | 0.212240i | \(-0.931924\pi\) |
0.952415 | + | 0.304804i | \(0.0985909\pi\) | |||||||
\(264\) | −0.608813 | + | 1.05449i | −0.0374698 | + | 0.0648997i | ||||
\(265\) | 18.0594 | + | 10.2657i | 1.10938 | + | 0.630617i | ||||
\(266\) | −0.364246 | + | 0.840901i | −0.0223334 | + | 0.0515590i | ||||
\(267\) | −14.9514 | + | 42.7286i | −0.915010 | + | 2.61495i | ||||
\(268\) | −7.13082 | + | 6.13657i | −0.435584 | + | 0.374851i | ||||
\(269\) | −6.80303 | + | 2.09846i | −0.414788 | + | 0.127945i | −0.495123 | − | 0.868823i | \(-0.664877\pi\) |
0.0803352 | + | 0.996768i | \(0.474401\pi\) | |||||||
\(270\) | −2.37859 | + | 3.84248i | −0.144756 | + | 0.233846i | ||||
\(271\) | −15.5400 | − | 1.16456i | −0.943990 | − | 0.0707423i | −0.406166 | − | 0.913799i | \(-0.633135\pi\) |
−0.537824 | + | 0.843057i | \(0.680754\pi\) | |||||||
\(272\) | 2.86088 | + | 1.00107i | 0.173466 | + | 0.0606985i | ||||
\(273\) | −13.7417 | + | 23.9468i | −0.831683 | + | 1.44933i | ||||
\(274\) | −3.83752 | + | 7.96870i | −0.231833 | + | 0.481407i | ||||
\(275\) | −1.84791 | − | 1.43353i | −0.111433 | − | 0.0864450i | ||||
\(276\) | −6.69883 | + | 3.86757i | −0.403222 | + | 0.232801i | ||||
\(277\) | −15.5398 | − | 13.3731i | −0.933695 | − | 0.803509i | 0.0470319 | − | 0.998893i | \(-0.485024\pi\) |
−0.980727 | + | 0.195384i | \(0.937405\pi\) | |||||||
\(278\) | −7.10246 | − | 3.09877i | −0.425977 | − | 0.185852i | ||||
\(279\) | −2.46234 | + | 10.7882i | −0.147416 | + | 0.645873i | ||||
\(280\) | 2.21275 | + | 5.48669i | 0.132237 | + | 0.327892i | ||||
\(281\) | −6.87623 | − | 30.1267i | −0.410201 | − | 1.79721i | −0.583246 | − | 0.812296i | \(-0.698218\pi\) |
0.173044 | − | 0.984914i | \(-0.444640\pi\) | |||||||
\(282\) | 4.24898 | − | 22.4564i | 0.253023 | − | 1.33726i | ||||
\(283\) | 0.879341 | − | 23.5009i | 0.0522714 | − | 1.39698i | −0.688505 | − | 0.725231i | \(-0.741733\pi\) |
0.740777 | − | 0.671751i | \(-0.234458\pi\) | |||||||
\(284\) | −1.95731 | + | 12.9859i | −0.116145 | + | 0.770572i | ||||
\(285\) | 1.46870 | − | 1.38120i | 0.0869983 | − | 0.0818155i | ||||
\(286\) | 1.46602 | − | 1.16911i | 0.0866873 | − | 0.0691308i | ||||
\(287\) | −12.4328 | + | 3.87094i | −0.733888 | + | 0.228494i | ||||
\(288\) | −3.75263 | + | 0.422819i | −0.221126 | + | 0.0249149i | ||||
\(289\) | 1.16450 | + | 7.72596i | 0.0685001 | + | 0.454468i | ||||
\(290\) | 5.12650 | + | 4.03229i | 0.301039 | + | 0.236784i | ||||
\(291\) | −14.1136 | + | 35.9609i | −0.827354 | + | 2.10806i | ||||
\(292\) | 6.40025 | + | 12.1099i | 0.374547 | + | 0.708677i | ||||
\(293\) | −0.203174 | + | 0.203174i | −0.0118696 | + | 0.0118696i | −0.713017 | − | 0.701147i | \(-0.752672\pi\) |
0.701147 | + | 0.713017i | \(0.252672\pi\) | |||||||
\(294\) | −2.81080 | − | 18.0039i | −0.163929 | − | 1.05001i | ||||
\(295\) | 0.589188 | − | 0.513957i | 0.0343038 | − | 0.0299237i | ||||
\(296\) | −8.38150 | − | 2.58535i | −0.487165 | − | 0.150270i | ||||
\(297\) | −0.866453 | + | 0.378029i | −0.0502767 | + | 0.0219355i | ||||
\(298\) | −2.59167 | − | 13.6973i | −0.150131 | − | 0.793464i | ||||
\(299\) | 11.7788 | − | 1.77537i | 0.681188 | − | 0.102672i | ||||
\(300\) | 0.312130 | − | 13.0120i | 0.0180209 | − | 0.751248i | ||||
\(301\) | 12.0526 | + | 3.19547i | 0.694703 | + | 0.184184i | ||||
\(302\) | −21.8061 | − | 2.45696i | −1.25480 | − | 0.141382i | ||||
\(303\) | 1.36010 | + | 36.3495i | 0.0781359 | + | 2.08823i | ||||
\(304\) | 0.342498 | + | 0.0516233i | 0.0196436 | + | 0.00296080i | ||||
\(305\) | 11.5889 | + | 1.22708i | 0.663578 | + | 0.0702626i | ||||
\(306\) | 6.44780 | + | 9.45718i | 0.368596 | + | 0.540631i | ||||
\(307\) | −7.77527 | + | 12.3743i | −0.443758 | + | 0.706237i | −0.991456 | − | 0.130439i | \(-0.958361\pi\) |
0.547698 | + | 0.836676i | \(0.315504\pi\) | |||||||
\(308\) | −0.272201 | + | 1.20725i | −0.0155101 | + | 0.0687893i | ||||
\(309\) | −2.90051 | − | 0.662022i | −0.165004 | − | 0.0376611i | ||||
\(310\) | −1.97325 | − | 6.24800i | −0.112073 | − | 0.354863i | ||||
\(311\) | 27.1886 | − | 2.03750i | 1.54172 | − | 0.115536i | 0.723455 | − | 0.690371i | \(-0.242553\pi\) |
0.818269 | + | 0.574835i | \(0.194934\pi\) | |||||||
\(312\) | 10.0798 | + | 2.70088i | 0.570657 | + | 0.152907i | ||||
\(313\) | −4.68181 | − | 17.4728i | −0.264632 | − | 0.987619i | −0.962475 | − | 0.271369i | \(-0.912524\pi\) |
0.697844 | − | 0.716250i | \(-0.254143\pi\) | |||||||
\(314\) | 6.30456 | + | 3.03611i | 0.355787 | + | 0.171338i | ||||
\(315\) | −5.58046 | + | 21.6331i | −0.314423 | + | 1.21889i | ||||
\(316\) | −14.2708 | + | 6.87244i | −0.802794 | + | 0.386605i | ||||
\(317\) | 2.61068 | + | 3.03366i | 0.146630 | + | 0.170388i | 0.826484 | − | 0.562960i | \(-0.190338\pi\) |
−0.679854 | + | 0.733348i | \(0.737957\pi\) | |||||||
\(318\) | −11.3002 | + | 21.3809i | −0.633681 | + | 1.19898i | ||||
\(319\) | 0.402154 | + | 1.30375i | 0.0225163 | + | 0.0729960i | ||||
\(320\) | 1.79019 | − | 1.33986i | 0.100075 | − | 0.0749005i | ||||
\(321\) | −3.80226 | − | 7.89548i | −0.212222 | − | 0.440683i | ||||
\(322\) | −5.33214 | + | 5.77714i | −0.297148 | + | 0.321948i | ||||
\(323\) | −0.346736 | − | 0.990914i | −0.0192929 | − | 0.0551359i | ||||
\(324\) | 5.25516 | + | 3.03407i | 0.291953 | + | 0.168559i | ||||
\(325\) | −7.76816 | + | 18.4773i | −0.430900 | + | 1.02494i | ||||
\(326\) | −0.844831 | − | 11.2735i | −0.0467909 | − | 0.624381i | ||||
\(327\) | 14.3569 | − | 32.9064i | 0.793939 | − | 1.81973i | ||||
\(328\) | 2.61849 | + | 4.16730i | 0.144582 | + | 0.230100i | ||||
\(329\) | −2.66164 | − | 23.0759i | −0.146741 | − | 1.27222i | ||||
\(330\) | 1.60206 | − | 2.20147i | 0.0881904 | − | 0.121187i | ||||
\(331\) | 22.4105 | − | 15.2792i | 1.23179 | − | 0.839820i | 0.240389 | − | 0.970677i | \(-0.422725\pi\) |
0.991401 | + | 0.130856i | \(0.0417726\pi\) | |||||||
\(332\) | 6.38292 | + | 0.238832i | 0.350308 | + | 0.0131076i | ||||
\(333\) | −19.6692 | − | 26.6509i | −1.07787 | − | 1.46046i | ||||
\(334\) | −3.29857 | − | 3.06062i | −0.180490 | − | 0.167470i | ||||
\(335\) | 17.3012 | − | 11.9666i | 0.945266 | − | 0.653803i | ||||
\(336\) | −6.30534 | + | 2.77080i | −0.343984 | + | 0.151159i | ||||
\(337\) | −1.82612 | − | 16.2072i | −0.0994748 | − | 0.882864i | −0.940019 | − | 0.341121i | \(-0.889193\pi\) |
0.840545 | − | 0.541742i | \(-0.182235\pi\) | |||||||
\(338\) | −2.47025 | − | 1.82313i | −0.134364 | − | 0.0991652i | ||||
\(339\) | 36.2488 | + | 24.7140i | 1.96877 | + | 1.34228i | ||||
\(340\) | −6.12586 | − | 2.89960i | −0.332221 | − | 0.157253i | ||||
\(341\) | 0.403997 | − | 1.30973i | 0.0218777 | − | 0.0709257i | ||||
\(342\) | 0.924903 | + | 0.924903i | 0.0500130 | + | 0.0500130i | ||||
\(343\) | −8.16733 | − | 16.6221i | −0.440994 | − | 0.897510i | ||||
\(344\) | − | 4.71286i | − | 0.254100i | ||||||
\(345\) | 15.8064 | − | 7.02285i | 0.850988 | − | 0.378098i | ||||
\(346\) | 10.7170 | + | 4.20612i | 0.576151 | + | 0.226122i | ||||
\(347\) | 2.06332 | − | 0.390401i | 0.110765 | − | 0.0209578i | −0.130234 | − | 0.991483i | \(-0.541573\pi\) |
0.240998 | + | 0.970526i | \(0.422525\pi\) | |||||||
\(348\) | −4.50888 | + | 6.10932i | −0.241702 | + | 0.327494i | ||||
\(349\) | 7.80508 | − | 9.78726i | 0.417796 | − | 0.523900i | −0.527745 | − | 0.849403i | \(-0.676962\pi\) |
0.945541 | + | 0.325503i | \(0.105534\pi\) | |||||||
\(350\) | −3.62852 | − | 12.7214i | −0.193953 | − | 0.679987i | ||||
\(351\) | 5.05135 | + | 6.33419i | 0.269621 | + | 0.338094i | ||||
\(352\) | 0.467424 | − | 0.0174898i | 0.0249138 | − | 0.000932209i | ||||
\(353\) | 1.41578 | − | 1.04489i | 0.0753542 | − | 0.0556139i | −0.555492 | − | 0.831522i | \(-0.687470\pi\) |
0.630846 | + | 0.775908i | \(0.282708\pi\) | |||||||
\(354\) | 0.619096 | + | 0.667226i | 0.0329046 | + | 0.0354627i | ||||
\(355\) | 7.40987 | − | 28.4151i | 0.393275 | − | 1.50812i | ||||
\(356\) | 16.9541 | − | 3.86966i | 0.898565 | − | 0.205092i | ||||
\(357\) | 16.3551 | + | 12.9724i | 0.865602 | + | 0.686570i | ||||
\(358\) | 9.35744 | − | 5.87967i | 0.494556 | − | 0.310750i | ||||
\(359\) | 3.87783 | − | 1.52194i | 0.204664 | − | 0.0803248i | −0.260795 | − | 0.965394i | \(-0.583985\pi\) |
0.465459 | + | 0.885069i | \(0.345889\pi\) | |||||||
\(360\) | 8.44403 | − | 0.0566459i | 0.445040 | − | 0.00298550i | ||||
\(361\) | 9.44001 | + | 16.3506i | 0.496843 | + | 0.860557i | ||||
\(362\) | −6.79105 | + | 1.81966i | −0.356929 | + | 0.0956390i | ||||
\(363\) | −26.4901 | + | 9.26930i | −1.39037 | + | 0.486512i | ||||
\(364\) | 10.5977 | − | 0.424512i | 0.555470 | − | 0.0222505i | ||||
\(365\) | −11.3806 | − | 28.4349i | −0.595687 | − | 1.48835i | ||||
\(366\) | −1.01385 | + | 13.5288i | −0.0529946 | + | 0.707163i | ||||
\(367\) | 17.9742 | + | 9.49964i | 0.938246 | + | 0.495877i | 0.865186 | − | 0.501450i | \(-0.167200\pi\) |
0.0730591 | + | 0.997328i | \(0.476724\pi\) | |||||||
\(368\) | 2.62711 | + | 1.38847i | 0.136948 | + | 0.0723790i | ||||
\(369\) | −1.38894 | + | 18.5341i | −0.0723052 | + | 0.964846i | ||||
\(370\) | 18.0287 | + | 7.72229i | 0.937267 | + | 0.401463i | ||||
\(371\) | −4.50589 | + | 24.1627i | −0.233934 | + | 1.25446i | ||||
\(372\) | 7.19977 | − | 2.51931i | 0.373291 | − | 0.130620i | ||||
\(373\) | 12.0478 | − | 3.22819i | 0.623809 | − | 0.167149i | 0.0669503 | − | 0.997756i | \(-0.478673\pi\) |
0.556859 | + | 0.830607i | \(0.312006\pi\) | |||||||
\(374\) | −0.708870 | − | 1.22780i | −0.0366548 | − | 0.0634880i | ||||
\(375\) | −3.75772 | + | 28.8605i | −0.194048 | + | 1.49035i | ||||
\(376\) | −8.17279 | + | 3.20758i | −0.421479 | + | 0.165418i | ||||
\(377\) | 9.90074 | − | 6.22105i | 0.509914 | − | 0.320400i | ||||
\(378\) | −5.21614 | − | 1.17609i | −0.268289 | − | 0.0604917i | ||||
\(379\) | −9.59293 | + | 2.18952i | −0.492756 | + | 0.112468i | −0.461676 | − | 0.887049i | \(-0.652752\pi\) |
−0.0310797 | + | 0.999517i | \(0.509895\pi\) | |||||||
\(380\) | −0.749437 | − | 0.195432i | −0.0384453 | − | 0.0100255i | ||||
\(381\) | 3.54178 | + | 3.81713i | 0.181451 | + | 0.195557i | ||||
\(382\) | 13.3561 | − | 9.85723i | 0.683356 | − | 0.504340i | ||||
\(383\) | −0.526886 | + | 0.0197147i | −0.0269226 | + | 0.00100737i | −0.0508491 | − | 0.998706i | \(-0.516193\pi\) |
0.0239265 | + | 0.999714i | \(0.492383\pi\) | |||||||
\(384\) | 1.62304 | + | 2.03522i | 0.0828252 | + | 0.103859i | ||||
\(385\) | 0.889521 | − | 2.62039i | 0.0453342 | − | 0.133548i | ||||
\(386\) | −6.98381 | + | 8.75742i | −0.355467 | + | 0.445741i | ||||
\(387\) | 10.5685 | − | 14.3198i | 0.537228 | − | 0.727918i | ||||
\(388\) | 14.5815 | − | 2.75897i | 0.740265 | − | 0.140066i | ||||
\(389\) | 34.5380 | + | 13.5552i | 1.75115 | + | 0.687274i | 0.999620 | + | 0.0275710i | \(0.00877724\pi\) |
0.751526 | + | 0.659703i | \(0.229318\pi\) | |||||||
\(390\) | −21.7779 | − | 8.37906i | −1.10277 | − | 0.424290i | ||||
\(391\) | − | 9.00640i | − | 0.455473i | ||||||
\(392\) | −5.28166 | + | 4.59392i | −0.266764 | + | 0.232028i | ||||
\(393\) | −26.0051 | − | 26.0051i | −1.31179 | − | 1.31179i | ||||
\(394\) | 0.0232156 | − | 0.0752633i | 0.00116959 | − | 0.00379171i | ||||
\(395\) | 33.3511 | − | 11.9218i | 1.67808 | − | 0.599850i | ||||
\(396\) | 1.45947 | + | 0.995050i | 0.0733412 | + | 0.0500032i | ||||
\(397\) | −6.73057 | − | 4.96739i | −0.337798 | − | 0.249306i | 0.411691 | − | 0.911324i | \(-0.364938\pi\) |
−0.749488 | + | 0.662018i | \(0.769700\pi\) | |||||||
\(398\) | 1.54466 | + | 13.7093i | 0.0774270 | + | 0.687184i | ||||
\(399\) | 2.11201 | + | 1.10912i | 0.105733 | + | 0.0555254i | ||||
\(400\) | −4.29620 | + | 2.55787i | −0.214810 | + | 0.127893i | ||||
\(401\) | −8.30518 | − | 7.70608i | −0.414741 | − | 0.384823i | 0.445020 | − | 0.895521i | \(-0.353197\pi\) |
−0.859760 | + | 0.510698i | \(0.829387\pi\) | |||||||
\(402\) | 14.5425 | + | 19.7044i | 0.725316 | + | 0.982768i | ||||
\(403\) | −11.7384 | − | 0.439219i | −0.584731 | − | 0.0218791i | ||||
\(404\) | 11.5454 | − | 7.87153i | 0.574406 | − | 0.391623i | ||||
\(405\) | −10.9712 | − | 7.98399i | −0.545163 | − | 0.396728i | ||||
\(406\) | −2.52965 | + | 7.29091i | −0.125544 | + | 0.361842i | ||||
\(407\) | 2.18278 | + | 3.47388i | 0.108197 | + | 0.172194i | ||||
\(408\) | 3.15517 | − | 7.23173i | 0.156204 | − | 0.358024i | ||||
\(409\) | 0.257426 | + | 3.43511i | 0.0127289 | + | 0.169855i | 0.999945 | + | 0.0104690i | \(0.00333244\pi\) |
−0.987216 | + | 0.159386i | \(0.949049\pi\) | |||||||
\(410\) | −4.84138 | − | 9.88308i | −0.239099 | − | 0.488090i | ||||
\(411\) | 19.9392 | + | 11.5119i | 0.983526 | + | 0.567839i | ||||
\(412\) | 0.377471 | + | 1.07875i | 0.0185967 | + | 0.0531462i | ||||
\(413\) | 0.802377 | + | 0.460437i | 0.0394824 | + | 0.0226566i | ||||
\(414\) | 4.86876 | + | 10.1101i | 0.239286 | + | 0.496883i | ||||
\(415\) | −14.1371 | − | 2.03393i | −0.693962 | − | 0.0998416i | ||||
\(416\) | −1.18160 | − | 3.83066i | −0.0579329 | − | 0.187814i | ||||
\(417\) | −9.42566 | + | 17.8342i | −0.461577 | + | 0.873346i | ||||
\(418\) | −0.105679 | − | 0.122802i | −0.00516895 | − | 0.00600643i | ||||
\(419\) | −11.9066 | + | 5.73391i | −0.581675 | + | 0.280120i | −0.701493 | − | 0.712676i | \(-0.747483\pi\) |
0.119819 | + | 0.992796i | \(0.461769\pi\) | |||||||
\(420\) | 14.6732 | − | 4.67666i | 0.715977 | − | 0.228198i | ||||
\(421\) | 26.6209 | + | 12.8200i | 1.29743 | + | 0.624807i | 0.949809 | − | 0.312830i | \(-0.101277\pi\) |
0.347616 | + | 0.937637i | \(0.386991\pi\) | |||||||
\(422\) | 5.02499 | + | 18.7535i | 0.244613 | + | 0.912908i | ||||
\(423\) | −32.0256 | − | 8.58124i | −1.55714 | − | 0.417234i | ||||
\(424\) | 9.26409 | − | 0.694248i | 0.449904 | − | 0.0337157i | ||||
\(425\) | 12.9390 | + | 7.88998i | 0.627633 | + | 0.382720i | ||||
\(426\) | 33.3289 | + | 7.60711i | 1.61479 | + | 0.368566i | ||||
\(427\) | 3.10372 | + | 13.4350i | 0.150200 | + | 0.650163i | ||||
\(428\) | −1.79105 | + | 2.85044i | −0.0865737 | + | 0.137781i | ||||
\(429\) | −2.74966 | − | 4.03301i | −0.132755 | − | 0.194716i | ||||
\(430\) | −1.10964 | + | 10.4797i | −0.0535114 | + | 0.505376i | ||||
\(431\) | −4.73300 | − | 0.713385i | −0.227981 | − | 0.0343625i | 0.0340583 | − | 0.999420i | \(-0.489157\pi\) |
−0.262039 | + | 0.965057i | \(0.584395\pi\) | |||||||
\(432\) | 0.0755679 | + | 2.01959i | 0.00363576 | + | 0.0971677i | ||||
\(433\) | 7.35336 | + | 0.828524i | 0.353380 | + | 0.0398163i | 0.286870 | − | 0.957969i | \(-0.407385\pi\) |
0.0665095 | + | 0.997786i | \(0.478814\pi\) | |||||||
\(434\) | 6.22562 | − | 4.62011i | 0.298839 | − | 0.221773i | ||||
\(435\) | 11.4646 | − | 12.5233i | 0.549683 | − | 0.600447i | ||||
\(436\) | −13.6377 | + | 2.05556i | −0.653128 | + | 0.0984433i | ||||
\(437\) | −0.191343 | − | 1.01127i | −0.00915318 | − | 0.0483757i | ||||
\(438\) | 32.6807 | − | 14.2584i | 1.56154 | − | 0.681294i | ||||
\(439\) | −0.637507 | − | 0.196645i | −0.0304266 | − | 0.00938535i | 0.279505 | − | 0.960144i | \(-0.409830\pi\) |
−0.309931 | + | 0.950759i | \(0.600306\pi\) | |||||||
\(440\) | −1.04350 | − | 0.0711635i | −0.0497469 | − | 0.00339259i | ||||
\(441\) | −26.3499 | + | 2.11439i | −1.25476 | + | 0.100685i | ||||
\(442\) | −8.59165 | + | 8.59165i | −0.408663 | + | 0.408663i | ||||
\(443\) | 2.48424 | + | 4.70042i | 0.118030 | + | 0.223324i | 0.936051 | − | 0.351865i | \(-0.114452\pi\) |
−0.818021 | + | 0.575189i | \(0.804929\pi\) | |||||||
\(444\) | −8.34171 | + | 21.2543i | −0.395880 | + | 1.00869i | ||||
\(445\) | −38.6108 | + | 4.61290i | −1.83033 | + | 0.218672i | ||||
\(446\) | −0.288805 | − | 1.91610i | −0.0136753 | − | 0.0907298i | ||||
\(447\) | −36.0606 | + | 4.06305i | −1.70561 | + | 0.192176i | ||||
\(448\) | 2.18994 | + | 1.48464i | 0.103465 | + | 0.0701425i | ||||
\(449\) | −23.2205 | + | 18.5178i | −1.09584 | + | 0.873907i | −0.992682 | − | 0.120757i | \(-0.961468\pi\) |
−0.103163 | + | 0.994664i | \(0.532896\pi\) | |||||||
\(450\) | −18.7898 | − | 1.86218i | −0.885760 | − | 0.0877839i | ||||
\(451\) | 0.343113 | − | 2.27641i | 0.0161566 | − | 0.107192i | ||||
\(452\) | 0.630172 | − | 16.8417i | 0.0296408 | − | 0.792167i | ||||
\(453\) | −10.6200 | + | 56.1279i | −0.498970 | + | 2.63712i | ||||
\(454\) | −4.18889 | − | 18.3527i | −0.196595 | − | 0.861337i | ||||
\(455\) | −23.6654 | − | 1.55125i | −1.10945 | − | 0.0727238i | ||||
\(456\) | 0.200635 | − | 0.879038i | 0.00939558 | − | 0.0411647i | ||||
\(457\) | 32.1781 | + | 14.0392i | 1.50523 | + | 0.656724i | 0.980851 | − | 0.194762i | \(-0.0623934\pi\) |
0.524377 | + | 0.851486i | \(0.324298\pi\) | |||||||
\(458\) | −8.66679 | − | 7.45837i | −0.404972 | − | 0.348507i | ||||
\(459\) | 5.30493 | − | 3.06280i | 0.247613 | − | 0.142959i | ||||
\(460\) | −5.51484 | − | 3.70601i | −0.257131 | − | 0.172793i | ||||
\(461\) | 2.66546 | − | 5.53489i | 0.124143 | − | 0.257786i | −0.829630 | − | 0.558314i | \(-0.811449\pi\) |
0.953773 | + | 0.300528i | \(0.0971629\pi\) | |||||||
\(462\) | 3.08090 | + | 0.941447i | 0.143337 | + | 0.0438001i | ||||
\(463\) | −15.4583 | − | 5.40909i | −0.718407 | − | 0.251382i | −0.0537759 | − | 0.998553i | \(-0.517126\pi\) |
−0.664631 | + | 0.747171i | \(0.731411\pi\) | |||||||
\(464\) | 2.90870 | + | 0.217977i | 0.135033 | + | 0.0101193i | ||||
\(465\) | −16.6029 | + | 3.90685i | −0.769939 | + | 0.181176i | ||||
\(466\) | −21.7260 | + | 6.70157i | −1.00644 | + | 0.310444i | ||||
\(467\) | −16.8261 | + | 14.4801i | −0.778621 | + | 0.670057i | −0.948984 | − | 0.315324i | \(-0.897887\pi\) |
0.170363 | + | 0.985381i | \(0.445506\pi\) | |||||||
\(468\) | 4.99995 | − | 14.2890i | 0.231123 | − | 0.660511i | ||||
\(469\) | 20.0658 | + | 14.7277i | 0.926554 | + | 0.680063i | ||||
\(470\) | 18.9285 | − | 5.20823i | 0.873108 | − | 0.240238i | ||||
\(471\) | 9.10780 | − | 15.7752i | 0.419665 | − | 0.726881i | ||||
\(472\) | 0.0904974 | − | 0.337741i | 0.00416548 | − | 0.0155458i | ||||
\(473\) | −1.43793 | + | 1.67091i | −0.0661162 | + | 0.0768284i | ||||
\(474\) | 15.0638 | + | 38.3820i | 0.691904 | + | 1.76294i | ||||
\(475\) | 1.62046 | + | 0.611025i | 0.0743519 | + | 0.0280357i | ||||
\(476\) | 0.876858 | − | 7.97110i | 0.0401907 | − | 0.365355i | ||||
\(477\) | 29.7054 | + | 18.6652i | 1.36012 | + | 0.854619i | ||||
\(478\) | −2.94856 | − | 0.557898i | −0.134864 | − | 0.0255176i | ||||
\(479\) | −21.9525 | + | 20.3690i | −1.00304 | + | 0.930683i | −0.997596 | − | 0.0693023i | \(-0.977923\pi\) |
−0.00544186 | + | 0.999985i | \(0.501732\pi\) | |||||||
\(480\) | −3.12985 | − | 4.90774i | −0.142858 | − | 0.224007i | ||||
\(481\) | 23.9159 | − | 25.7752i | 1.09047 | − | 1.17525i | ||||
\(482\) | −2.91169 | + | 25.8420i | −0.132624 | + | 1.17707i | ||||
\(483\) | 13.9594 | + | 14.9654i | 0.635175 | + | 0.680948i | ||||
\(484\) | 8.42909 | + | 6.72197i | 0.383140 | + | 0.305544i | ||||
\(485\) | −33.0736 | + | 2.70176i | −1.50180 | + | 0.122680i | ||||
\(486\) | 12.3138 | − | 18.0610i | 0.558564 | − | 0.819262i | ||||
\(487\) | −10.9191 | − | 25.0268i | −0.494791 | − | 1.13407i | −0.967504 | − | 0.252856i | \(-0.918630\pi\) |
0.472713 | − | 0.881216i | \(-0.343275\pi\) | |||||||
\(488\) | 4.60773 | − | 2.43525i | 0.208582 | − | 0.110239i | ||||
\(489\) | −29.4288 | −1.33082 | ||||||||
\(490\) | 12.8261 | − | 8.97165i | 0.579425 | − | 0.405298i | ||||
\(491\) | 33.9469 | 1.53200 | 0.766001 | − | 0.642839i | \(-0.222244\pi\) | ||||
0.766001 | + | 0.642839i | \(0.222244\pi\) | |||||||
\(492\) | 11.3271 | − | 5.98656i | 0.510667 | − | 0.269895i | ||||
\(493\) | −3.53541 | − | 8.10324i | −0.159227 | − | 0.364952i | ||||
\(494\) | −0.782171 | + | 1.14723i | −0.0351915 | + | 0.0516165i | ||||
\(495\) | −3.01105 | − | 2.55626i | −0.135337 | − | 0.114895i | ||||
\(496\) | −2.29095 | − | 1.82697i | −0.102867 | − | 0.0820333i | ||||
\(497\) | 34.6415 | − | 2.68785i | 1.55388 | − | 0.120567i | ||||
\(498\) | 1.86167 | − | 16.5228i | 0.0834233 | − | 0.740403i | ||||
\(499\) | −2.59909 | + | 2.80115i | −0.116351 | + | 0.125397i | −0.788541 | − | 0.614982i | \(-0.789163\pi\) |
0.672190 | + | 0.740379i | \(0.265354\pi\) | |||||||
\(500\) | 10.1554 | − | 4.67624i | 0.454165 | − | 0.209128i | ||||
\(501\) | −8.58665 | + | 7.96725i | −0.383623 | + | 0.355950i | ||||
\(502\) | −5.80364 | − | 1.09811i | −0.259029 | − | 0.0490110i | ||||
\(503\) | −27.2226 | − | 17.1051i | −1.21380 | − | 0.762679i | −0.235901 | − | 0.971777i | \(-0.575804\pi\) |
−0.977895 | + | 0.209098i | \(0.932947\pi\) | |||||||
\(504\) | 3.32477 | + | 9.42193i | 0.148097 | + | 0.419686i | ||||
\(505\) | −27.5262 | + | 14.7851i | −1.22490 | + | 0.657927i | ||||
\(506\) | −0.507789 | − | 1.29383i | −0.0225740 | − | 0.0575176i | ||||
\(507\) | −5.21315 | + | 6.05779i | −0.231524 | + | 0.269036i | ||||
\(508\) | 0.517725 | − | 1.93218i | 0.0229703 | − | 0.0857265i | ||||
\(509\) | −12.4305 | + | 21.5302i | −0.550971 | + | 0.954310i | 0.447234 | + | 0.894417i | \(0.352409\pi\) |
−0.998205 | + | 0.0598927i | \(0.980924\pi\) | |||||||
\(510\) | −8.71865 | + | 15.3379i | −0.386069 | + | 0.679172i | ||||
\(511\) | 27.4060 | − | 23.7107i | 1.21237 | − | 1.04890i | ||||
\(512\) | 0.330279 | − | 0.943883i | 0.0145964 | − | 0.0417141i | ||||
\(513\) | 0.530588 | − | 0.456608i | 0.0234260 | − | 0.0201597i | ||||
\(514\) | 5.84389 | − | 1.80260i | 0.257763 | − | 0.0795093i | ||||
\(515\) | −0.585369 | − | 2.48763i | −0.0257944 | − | 0.109618i | ||||
\(516\) | −12.2340 | − | 0.916808i | −0.538570 | − | 0.0403602i | ||||
\(517\) | 3.87626 | + | 1.35636i | 0.170478 | + | 0.0596527i | ||||
\(518\) | −1.67321 | + | 23.1460i | −0.0735167 | + | 1.01697i | ||||
\(519\) | 13.0033 | − | 27.0017i | 0.570784 | − | 1.18524i | ||||
\(520\) | 1.72553 | + | 8.79621i | 0.0756696 | + | 0.385740i | ||||
\(521\) | −26.0936 | + | 15.0651i | −1.14318 | + | 0.660015i | −0.947216 | − | 0.320596i | \(-0.896117\pi\) |
−0.195964 | + | 0.980611i | \(0.562784\pi\) | |||||||
\(522\) | 8.34917 | + | 7.18504i | 0.365433 | + | 0.314481i | ||||
\(523\) | 17.5217 | + | 7.64462i | 0.766168 | + | 0.334276i | 0.746373 | − | 0.665528i | \(-0.231794\pi\) |
0.0197957 | + | 0.999804i | \(0.493698\pi\) | |||||||
\(524\) | −3.14374 | + | 13.7736i | −0.137335 | + | 0.601703i | ||||
\(525\) | −33.7289 | + | 6.94442i | −1.47205 | + | 0.303079i | ||||
\(526\) | −0.345818 | − | 1.51513i | −0.0150784 | − | 0.0660627i | ||||
\(527\) | −1.65116 | + | 8.72660i | −0.0719258 | + | 0.380137i | ||||
\(528\) | 0.0455285 | − | 1.21677i | 0.00198137 | − | 0.0529533i | ||||
\(529\) | −2.11199 | + | 14.0121i | −0.0918257 | + | 0.609224i | ||||
\(530\) | −20.7634 | − | 0.637464i | −0.901907 | − | 0.0276897i | ||||
\(531\) | 1.03235 | − | 0.823273i | 0.0448002 | − | 0.0357270i | ||||
\(532\) | −0.0708911 | − | 0.913655i | −0.00307352 | − | 0.0396120i | ||||
\(533\) | −19.6057 | + | 2.20904i | −0.849219 | + | 0.0956840i | ||||
\(534\) | −6.74699 | − | 44.7633i | −0.291971 | − | 1.93710i | ||||
\(535\) | 4.65378 | − | 5.91665i | 0.201201 | − | 0.255799i | ||||
\(536\) | 3.43704 | − | 8.75744i | 0.148458 | − | 0.378264i | ||||
\(537\) | −13.4425 | − | 25.4345i | −0.580087 | − | 1.09758i | ||||
\(538\) | 5.03412 | − | 5.03412i | 0.217036 | − | 0.217036i | ||||
\(539\) | 3.27421 | − | 0.0172599i | 0.141030 | − | 0.000743436i | ||||
\(540\) | 0.307475 | − | 4.50864i | 0.0132316 | − | 0.194021i | ||||
\(541\) | 7.83901 | + | 2.41801i | 0.337025 | + | 0.103959i | 0.458648 | − | 0.888618i | \(-0.348334\pi\) |
−0.121623 | + | 0.992576i | \(0.538810\pi\) | |||||||
\(542\) | 14.2834 | − | 6.23176i | 0.613522 | − | 0.267677i | ||||
\(543\) | 3.40250 | + | 17.9826i | 0.146015 | + | 0.771709i | ||||
\(544\) | −2.99711 | + | 0.451742i | −0.128500 | + | 0.0193683i | ||||
\(545\) | 30.8093 | − | 1.35983i | 1.31973 | − | 0.0582486i | ||||
\(546\) | 0.959628 | − | 27.5928i | 0.0410683 | − | 1.18086i | ||||
\(547\) | −38.1334 | − | 4.29660i | −1.63047 | − | 0.183709i | −0.751211 | − | 0.660062i | \(-0.770530\pi\) |
−0.879255 | + | 0.476352i | \(0.841959\pi\) | |||||||
\(548\) | −0.330710 | − | 8.83840i | −0.0141272 | − | 0.377558i | ||||
\(549\) | 19.4614 | + | 2.93334i | 0.830593 | + | 0.125192i | ||||
\(550\) | 2.30361 | + | 0.403933i | 0.0982263 | + | 0.0172238i | ||||
\(551\) | −0.569124 | − | 0.834752i | −0.0242455 | − | 0.0355616i | ||||
\(552\) | 4.11535 | − | 6.54954i | 0.175161 | − | 0.278767i | ||||
\(553\) | 26.2149 | + | 32.6952i | 1.11477 | + | 1.39034i | ||||
\(554\) | 19.9878 | + | 4.56208i | 0.849199 | + | 0.193824i | ||||
\(555\) | 23.5532 | − | 45.2979i | 0.999779 | − | 1.92279i | ||||
\(556\) | 7.72735 | − | 0.579085i | 0.327713 | − | 0.0245587i | ||||
\(557\) | −12.1791 | − | 3.26338i | −0.516045 | − | 0.138274i | −0.00860843 | − | 0.999963i | \(-0.502740\pi\) |
−0.507437 | + | 0.861689i | \(0.669407\pi\) | |||||||
\(558\) | −2.86400 | − | 10.6886i | −0.121243 | − | 0.452484i | ||||
\(559\) | 17.0218 | + | 8.19725i | 0.719944 | + | 0.346707i | ||||
\(560\) | −4.52008 | − | 3.81692i | −0.191008 | − | 0.161294i | ||||
\(561\) | −3.32510 | + | 1.60128i | −0.140386 | + | 0.0676063i | ||||
\(562\) | 20.1567 | + | 23.4225i | 0.850257 | + | 0.988017i | ||||
\(563\) | −9.59419 | + | 18.1531i | −0.404347 | + | 0.765062i | −0.999249 | − | 0.0387361i | \(-0.987667\pi\) |
0.594903 | + | 0.803798i | \(0.297191\pi\) | |||||||
\(564\) | 6.73658 | + | 21.8395i | 0.283661 | + | 0.919607i | ||||
\(565\) | −5.36663 | + | 37.3015i | −0.225776 | + | 1.56928i | ||||
\(566\) | 10.2038 | + | 21.1884i | 0.428897 | + | 0.890614i | ||||
\(567\) | 4.69178 | − | 15.3539i | 0.197036 | − | 0.644804i | ||||
\(568\) | −4.33742 | − | 12.3956i | −0.181994 | − | 0.520109i | ||||
\(569\) | 17.9212 | + | 10.3468i | 0.751297 | + | 0.433761i | 0.826162 | − | 0.563432i | \(-0.190519\pi\) |
−0.0748656 | + | 0.997194i | \(0.523853\pi\) | |||||||
\(570\) | −0.653107 | + | 1.90742i | −0.0273556 | + | 0.0798931i | ||||
\(571\) | −0.618145 | − | 8.24857i | −0.0258686 | − | 0.345192i | −0.995088 | − | 0.0989937i | \(-0.968438\pi\) |
0.969220 | − | 0.246198i | \(-0.0791814\pi\) | |||||||
\(572\) | −0.749839 | + | 1.71865i | −0.0313523 | + | 0.0718603i | ||||
\(573\) | −22.9899 | − | 36.5882i | −0.960415 | − | 1.52849i | ||||
\(574\) | 9.18330 | − | 9.23184i | 0.383304 | − | 0.385329i | ||||
\(575\) | 11.3904 | + | 9.53928i | 0.475013 | + | 0.397815i | ||||
\(576\) | 3.12018 | − | 2.12731i | 0.130008 | − | 0.0886377i | ||||
\(577\) | −11.4831 | − | 0.429667i | −0.478047 | − | 0.0178873i | −0.202718 | − | 0.979237i | \(-0.564977\pi\) |
−0.275329 | + | 0.961350i | \(0.588787\pi\) | |||||||
\(578\) | −4.63965 | − | 6.28651i | −0.192984 | − | 0.261484i | ||||
\(579\) | 21.3745 | + | 19.8327i | 0.888295 | + | 0.824217i | ||||
\(580\) | −6.41658 | − | 1.16955i | −0.266434 | − | 0.0485630i | ||||
\(581\) | −3.18556 | − | 16.5965i | −0.132159 | − | 0.688538i | ||||
\(582\) | −4.32534 | − | 38.3884i | −0.179291 | − | 1.59125i | ||||
\(583\) | −3.49633 | − | 2.58041i | −0.144803 | − | 0.106870i | ||||
\(584\) | −11.3171 | − | 7.71589i | −0.468306 | − | 0.319286i | ||||
\(585\) | −14.4824 | + | 30.5964i | −0.598774 | + | 1.26501i | ||||
\(586\) | 0.0846925 | − | 0.274566i | 0.00349861 | − | 0.0113422i | ||||
\(587\) | −12.8087 | − | 12.8087i | −0.528673 | − | 0.528673i | 0.391504 | − | 0.920177i | \(-0.371955\pi\) |
−0.920177 | + | 0.391504i | \(0.871955\pi\) | |||||||
\(588\) | 10.8977 | + | 14.6042i | 0.449415 | + | 0.602265i | ||||
\(589\) | 1.01494i | 0.0418197i | ||||||||
\(590\) | −0.280754 | + | 0.729706i | −0.0115585 | + | 0.0300415i | ||||
\(591\) | −0.190857 | − | 0.0749060i | −0.00785082 | − | 0.00308122i | ||||
\(592\) | 8.61826 | − | 1.63066i | 0.354208 | − | 0.0670199i | ||||
\(593\) | −20.3940 | + | 27.6329i | −0.837480 | + | 1.13475i | 0.151756 | + | 0.988418i | \(0.451507\pi\) |
−0.989236 | + | 0.146328i | \(0.953255\pi\) | |||||||
\(594\) | 0.589403 | − | 0.739088i | 0.0241835 | − | 0.0303251i | ||||
\(595\) | −3.82660 | + | 17.5184i | −0.156875 | + | 0.718184i | ||||
\(596\) | 8.69166 | + | 10.8990i | 0.356024 | + | 0.446440i | ||||
\(597\) | 35.8880 | − | 1.34283i | 1.46880 | − | 0.0549585i | ||||
\(598\) | −9.58427 | + | 7.07351i | −0.391930 | + | 0.289258i | ||||
\(599\) | −22.2372 | − | 23.9660i | −0.908585 | − | 0.979222i | 0.0912767 | − | 0.995826i | \(-0.470905\pi\) |
−0.999862 | + | 0.0166033i | \(0.994715\pi\) | |||||||
\(600\) | 5.80413 | + | 11.6499i | 0.236953 | + | 0.475607i | ||||
\(601\) | −37.2395 | + | 8.49967i | −1.51903 | + | 0.346709i | −0.899028 | − | 0.437891i | \(-0.855725\pi\) |
−0.620002 | + | 0.784600i | \(0.712868\pi\) | |||||||
\(602\) | −12.1491 | + | 2.80666i | −0.495159 | + | 0.114391i | ||||
\(603\) | 30.0818 | − | 18.9016i | 1.22502 | − | 0.769734i | ||||
\(604\) | 20.4272 | − | 8.01709i | 0.831172 | − | 0.326211i | ||||
\(605\) | −17.1606 | − | 16.9319i | −0.697676 | − | 0.688378i | ||||
\(606\) | −18.1875 | − | 31.5016i | −0.738816 | − | 1.27967i | ||||
\(607\) | 33.5035 | − | 8.97724i | 1.35987 | − | 0.364375i | 0.496099 | − | 0.868266i | \(-0.334765\pi\) |
0.863767 | + | 0.503891i | \(0.168099\pi\) | |||||||
\(608\) | −0.326930 | + | 0.114398i | −0.0132588 | + | 0.00463944i | ||||
\(609\) | 18.4341 | + | 7.98496i | 0.746989 | + | 0.323567i | ||||
\(610\) | −10.8193 | + | 4.33024i | −0.438060 | + | 0.175326i | ||||
\(611\) | 2.63018 | − | 35.0973i | 0.106406 | − | 1.41988i | ||||
\(612\) | −10.1196 | − | 5.34838i | −0.409062 | − | 0.216196i | ||||
\(613\) | −2.79673 | − | 1.47811i | −0.112959 | − | 0.0597005i | 0.409835 | − | 0.912160i | \(-0.365586\pi\) |
−0.522794 | + | 0.852459i | \(0.675110\pi\) | |||||||
\(614\) | 1.09213 | − | 14.5734i | 0.0440747 | − | 0.588136i | ||||
\(615\) | −26.5970 | + | 10.6450i | −1.07249 | + | 0.429247i | ||||
\(616\) | −0.323452 | − | 1.19454i | −0.0130323 | − | 0.0481293i | ||||
\(617\) | 29.3618 | − | 10.2742i | 1.18206 | − | 0.413622i | 0.333517 | − | 0.942744i | \(-0.391764\pi\) |
0.848546 | + | 0.529122i | \(0.177479\pi\) | |||||||
\(618\) | 2.87372 | − | 0.770012i | 0.115598 | − | 0.0309744i | ||||
\(619\) | −16.6532 | − | 28.8442i | −0.669350 | − | 1.15935i | −0.978086 | − | 0.208200i | \(-0.933240\pi\) |
0.308737 | − | 0.951148i | \(-0.400094\pi\) | |||||||
\(620\) | 4.66408 | + | 4.60192i | 0.187314 | + | 0.184817i | ||||
\(621\) | 5.59022 | − | 2.19400i | 0.224328 | − | 0.0880421i | ||||
\(622\) | −23.0858 | + | 14.5058i | −0.925656 | + | 0.581628i | ||||
\(623\) | −20.0721 | − | 41.4007i | −0.804172 | − | 1.65868i | ||||
\(624\) | −10.1738 | + | 2.32209i | −0.407276 | + | 0.0929581i | ||||
\(625\) | −23.6830 | + | 8.00718i | −0.947321 | + | 0.320287i | ||||
\(626\) | 12.3037 | + | 13.2603i | 0.491756 | + | 0.529987i | ||||
\(627\) | −0.339335 | + | 0.250441i | −0.0135517 | + | 0.0100016i | ||||
\(628\) | −6.99264 | + | 0.261646i | −0.279037 | + | 0.0104408i | ||||
\(629\) | −16.5756 | − | 20.7851i | −0.660911 | − | 0.828757i | ||||
\(630\) | −5.17471 | − | 21.7338i | −0.206165 | − | 0.865894i | ||||
\(631\) | 0.399612 | − | 0.501098i | 0.0159083 | − | 0.0199484i | −0.773814 | − | 0.633413i | \(-0.781653\pi\) |
0.789722 | + | 0.613465i | \(0.210225\pi\) | |||||||
\(632\) | 9.40573 | − | 12.7443i | 0.374140 | − | 0.506942i | ||||
\(633\) | 49.6592 | − | 9.39603i | 1.97378 | − | 0.373459i | ||||
\(634\) | −3.72568 | − | 1.46222i | −0.147966 | − | 0.0580722i | ||||
\(635\) | −1.60616 | + | 4.17456i | −0.0637386 | + | 0.165663i | ||||
\(636\) | − | 24.1834i | − | 0.958935i | ||||||
\(637\) | −7.40559 | − | 27.0665i | −0.293420 | − | 1.07241i | ||||
\(638\) | −0.964752 | − | 0.964752i | −0.0381949 | − | 0.0381949i | ||||
\(639\) | 14.6180 | − | 47.3902i | 0.578277 | − | 1.87473i | ||||
\(640\) | −0.956657 | + | 2.02109i | −0.0378152 | + | 0.0798906i | ||||
\(641\) | 31.4033 | + | 21.4104i | 1.24036 | + | 0.845661i | 0.992393 | − | 0.123108i | \(-0.0392862\pi\) |
0.247964 | + | 0.968769i | \(0.420239\pi\) | |||||||
\(642\) | 7.05095 | + | 5.20384i | 0.278279 | + | 0.205379i | ||||
\(643\) | −0.942320 | − | 8.36332i | −0.0371615 | − | 0.329817i | −0.998514 | − | 0.0544966i | \(-0.982645\pi\) |
0.961352 | − | 0.275320i | \(-0.0887840\pi\) | |||||||
\(644\) | 2.01475 | − | 7.59920i | 0.0793922 | − | 0.299450i | ||||
\(645\) | 26.9880 | + | 4.91912i | 1.06265 | + | 0.193690i | ||||
\(646\) | 0.769578 | + | 0.714064i | 0.0302786 | + | 0.0280945i | ||||
\(647\) | 11.5346 | + | 15.6288i | 0.453471 | + | 0.614432i | 0.970373 | − | 0.241613i | \(-0.0776766\pi\) |
−0.516902 | + | 0.856045i | \(0.672915\pi\) | |||||||
\(648\) | −6.06389 | − | 0.226895i | −0.238212 | − | 0.00891327i | ||||
\(649\) | −0.135133 | + | 0.0921319i | −0.00530442 | + | 0.00361649i | ||||
\(650\) | −1.76590 | − | 19.9659i | −0.0692643 | − | 0.783126i | ||||
\(651\) | −10.7821 | − | 17.0597i | −0.422584 | − | 0.668620i | ||||
\(652\) | 6.01468 | + | 9.57230i | 0.235553 | + | 0.374880i | ||||
\(653\) | 15.6208 | − | 35.8033i | 0.611290 | − | 1.40109i | −0.285390 | − | 0.958412i | \(-0.592123\pi\) |
0.896680 | − | 0.442680i | \(-0.145972\pi\) | |||||||
\(654\) | 2.68296 | + | 35.8016i | 0.104912 | + | 1.39995i | ||||
\(655\) | 10.2335 | − | 29.8874i | 0.399857 | − | 1.16780i | ||||
\(656\) | −4.26229 | − | 2.46083i | −0.166415 | − | 0.0960795i | ||||
\(657\) | −17.0839 | − | 48.8229i | −0.666505 | − | 1.90476i | ||||
\(658\) | 13.1358 | + | 19.1581i | 0.512088 | + | 0.746859i | ||||
\(659\) | 3.79622 | + | 7.88294i | 0.147880 | + | 0.307076i | 0.961730 | − | 0.273999i | \(-0.0883466\pi\) |
−0.813850 | + | 0.581075i | \(0.802632\pi\) | |||||||
\(660\) | −0.387727 | + | 2.69494i | −0.0150922 | + | 0.104901i | ||||
\(661\) | 9.77230 | + | 31.6810i | 0.380098 | + | 1.23225i | 0.920467 | + | 0.390820i | \(0.127809\pi\) |
−0.540369 | + | 0.841428i | \(0.681715\pi\) | |||||||
\(662\) | −12.6739 | + | 23.9803i | −0.492587 | + | 0.932020i | ||||
\(663\) | 20.6314 | + | 23.9741i | 0.801258 | + | 0.931079i | ||||
\(664\) | −5.75484 | + | 2.77138i | −0.223331 | + | 0.107551i | ||||
\(665\) | −0.0574828 | + | 2.04833i | −0.00222909 | + | 0.0794307i | ||||
\(666\) | 29.8430 | + | 14.3716i | 1.15639 | + | 0.556889i | ||||
\(667\) | −2.24327 | − | 8.37200i | −0.0868598 | − | 0.324165i | ||||
\(668\) | 4.34645 | + | 1.16463i | 0.168169 | + | 0.0450608i | ||||
\(669\) | −5.03012 | + | 0.376955i | −0.194476 | + | 0.0145739i | ||||
\(670\) | −9.70467 | + | 18.6641i | −0.374924 | + | 0.721058i | ||||
\(671\) | −2.37665 | − | 0.542455i | −0.0917496 | − | 0.0209412i | ||||
\(672\) | 4.27994 | − | 5.39599i | 0.165102 | − | 0.208155i | ||||
\(673\) | 14.7453 | − | 23.4670i | 0.568390 | − | 0.904588i | −0.431607 | − | 0.902062i | \(-0.642053\pi\) |
0.999997 | − | 0.00252593i | \(-0.000804029\pi\) | |||||||
\(674\) | 9.18762 | + | 13.4758i | 0.353894 | + | 0.519067i | ||||
\(675\) | −1.74527 | + | 9.95318i | −0.0671753 | + | 0.383098i | ||||
\(676\) | 3.03588 | + | 0.457585i | 0.116765 | + | 0.0175994i | ||||
\(677\) | 0.352692 | + | 9.42590i | 0.0135551 | + | 0.362267i | 0.989525 | + | 0.144362i | \(0.0461129\pi\) |
−0.975970 | + | 0.217905i | \(0.930078\pi\) | |||||||
\(678\) | −43.5962 | − | 4.91211i | −1.67430 | − | 0.188649i | ||||
\(679\) | −15.7960 | − | 35.9460i | −0.606195 | − | 1.37948i | ||||
\(680\) | 6.77086 | − | 0.298844i | 0.259651 | − | 0.0114602i | ||||
\(681\) | −48.4562 | + | 7.30359i | −1.85684 | + | 0.279874i | ||||
\(682\) | 0.254814 | + | 1.34673i | 0.00975734 | + | 0.0515688i | ||||
\(683\) | 23.6343 | − | 10.3115i | 0.904342 | − | 0.394560i | 0.104329 | − | 0.994543i | \(-0.466731\pi\) |
0.800013 | + | 0.599983i | \(0.204826\pi\) | |||||||
\(684\) | −1.24990 | − | 0.385543i | −0.0477911 | − | 0.0147416i | ||||
\(685\) | −1.34561 | + | 19.7313i | −0.0514132 | + | 0.753893i | ||||
\(686\) | 14.9879 | + | 10.8795i | 0.572239 | + | 0.415383i | ||||
\(687\) | −21.0469 | + | 21.0469i | −0.802990 | + | 0.802990i | ||||
\(688\) | 2.20217 | + | 4.16671i | 0.0839570 | + | 0.158854i | ||||
\(689\) | −13.6059 | + | 34.6673i | −0.518344 | + | 1.32072i | ||||
\(690\) | −10.6931 | + | 13.5948i | −0.407080 | + | 0.517547i | ||||
\(691\) | 1.25334 | + | 8.31539i | 0.0476794 | + | 0.316332i | 0.999939 | + | 0.0110428i | \(0.00351511\pi\) |
−0.952260 | + | 0.305289i | \(0.901247\pi\) | |||||||
\(692\) | −11.4405 | + | 1.28903i | −0.434901 | + | 0.0490016i | ||||
\(693\) | 1.69594 | − | 4.35489i | 0.0644233 | − | 0.165429i | ||||
\(694\) | −1.64179 | + | 1.30928i | −0.0623215 | + | 0.0496997i | ||||
\(695\) | −17.3192 | − | 0.531720i | −0.656954 | − | 0.0201693i | ||||
\(696\) | 1.13168 | − | 7.50821i | 0.0428962 | − | 0.284598i | ||||
\(697\) | −0.557780 | + | 14.9070i | −0.0211274 | + | 0.564643i | ||||
\(698\) | −2.32731 | + | 12.3001i | −0.0880901 | + | 0.465567i | ||||
\(699\) | 13.1700 | + | 57.7014i | 0.498134 | + | 2.18247i | ||||
\(700\) | 9.15234 | + | 9.55169i | 0.345926 | + | 0.361020i | ||||
\(701\) | −5.05618 | + | 22.1526i | −0.190969 | + | 0.836692i | 0.785124 | + | 0.619339i | \(0.212599\pi\) |
−0.976093 | + | 0.217353i | \(0.930258\pi\) | |||||||
\(702\) | −7.42574 | − | 3.23982i | −0.280267 | − | 0.122279i | ||||
\(703\) | −2.30275 | − | 1.98168i | −0.0868500 | − | 0.0747404i | ||||
\(704\) | −0.405085 | + | 0.233876i | −0.0152672 | + | 0.00881452i | ||||
\(705\) | −9.83764 | − | 50.1492i | −0.370507 | − | 1.88873i | ||||
\(706\) | −0.763465 | + | 1.58535i | −0.0287334 | + | 0.0596655i | ||||
\(707\) | −27.1673 | − | 25.0747i | −1.02173 | − | 0.943030i | ||||
\(708\) | −0.859126 | − | 0.300621i | −0.0322879 | − | 0.0112980i | ||||
\(709\) | −30.3892 | − | 2.27736i | −1.14129 | − | 0.0855280i | −0.509361 | − | 0.860553i | \(-0.670118\pi\) |
−0.631931 | + | 0.775025i | \(0.717737\pi\) | |||||||
\(710\) | 6.72631 | + | 28.5846i | 0.252434 | + | 1.07276i | ||||
\(711\) | 57.1579 | − | 17.6309i | 2.14359 | − | 0.661209i | ||||
\(712\) | −13.1812 | + | 11.3433i | −0.493986 | + | 0.425109i | ||||
\(713\) | −2.87576 | + | 8.21846i | −0.107698 | + | 0.307784i | ||||
\(714\) | −20.5214 | − | 3.82685i | −0.767992 | − | 0.143216i | ||||
\(715\) | 2.07202 | − | 3.64511i | 0.0774893 | − | 0.136319i | ||||
\(716\) | −5.52567 | + | 9.57074i | −0.206504 | + | 0.357676i | ||||
\(717\) | −2.02182 | + | 7.54554i | −0.0755063 | + | 0.281793i | ||||
\(718\) | −2.71730 | + | 3.15756i | −0.101409 | + | 0.117839i | ||||
\(719\) | 12.1653 | + | 30.9968i | 0.453691 | + | 1.15599i | 0.956537 | + | 0.291610i | \(0.0941908\pi\) |
−0.502847 | + | 0.864376i | \(0.667714\pi\) | |||||||
\(720\) | −7.43903 | + | 3.99571i | −0.277236 | + | 0.148911i | ||||
\(721\) | 2.55607 | − | 1.61550i | 0.0951929 | − | 0.0601642i | ||||
\(722\) | −15.9862 | − | 10.0448i | −0.594944 | − | 0.373828i | ||||
\(723\) | 66.5159 | + | 12.5855i | 2.47375 | + | 0.468059i | ||||
\(724\) | 5.15380 | − | 4.78203i | 0.191540 | − | 0.177723i | ||||
\(725\) | 13.9928 | + | 4.11144i | 0.519679 | + | 0.152695i | ||||
\(726\) | 19.0891 | − | 20.5731i | 0.708463 | − | 0.763541i | ||||
\(727\) | 2.61607 | − | 23.2183i | 0.0970246 | − | 0.861117i | −0.847079 | − | 0.531468i | \(-0.821641\pi\) |
0.944103 | − | 0.329650i | \(-0.106931\pi\) | |||||||
\(728\) | −9.17122 | + | 5.32728i | −0.339908 | + | 0.197442i | ||||
\(729\) | −30.2557 | − | 24.1281i | −1.12058 | − | 0.893633i | ||||
\(730\) | 23.3485 | + | 19.8219i | 0.864166 | + | 0.733643i | ||||
\(731\) | 8.04676 | − | 11.8024i | 0.297620 | − | 0.436529i | ||||
\(732\) | −5.42524 | − | 12.4348i | −0.200523 | − | 0.459603i | ||||
\(733\) | 43.2891 | − | 22.8790i | 1.59892 | − | 0.845054i | 0.599932 | − | 0.800051i | \(-0.295194\pi\) |
0.998987 | − | 0.0450028i | \(-0.0143297\pi\) | |||||||
\(734\) | −20.3302 | −0.750400 | ||||||||
\(735\) | −20.7941 | − | 35.0402i | −0.767002 | − | 1.29248i | ||||
\(736\) | −2.97146 | −0.109530 | ||||||||
\(737\) | −3.89055 | + | 2.05621i | −0.143310 | + | 0.0757416i | ||||
\(738\) | −7.43241 | − | 17.0353i | −0.273591 | − | 0.627077i | ||||
\(739\) | −3.29260 | + | 4.82936i | −0.121120 | + | 0.177651i | −0.882010 | − | 0.471230i | \(-0.843810\pi\) |
0.760890 | + | 0.648881i | \(0.224763\pi\) | |||||||
\(740\) | −19.5478 | + | 1.59684i | −0.718593 | + | 0.0587012i | ||||
\(741\) | 2.82591 | + | 2.25359i | 0.103812 | + | 0.0827876i | ||||
\(742\) | −7.30673 | − | 23.4681i | −0.268239 | − | 0.861539i | ||||
\(743\) | −3.39153 | + | 30.1006i | −0.124423 | + | 1.10429i | 0.763986 | + | 0.645233i | \(0.223240\pi\) |
−0.888409 | + | 0.459053i | \(0.848189\pi\) | |||||||
\(744\) | −5.18824 | + | 5.59159i | −0.190210 | + | 0.204998i | ||||
\(745\) | −16.7609 | − | 26.2818i | −0.614073 | − | 0.962892i | ||||
\(746\) | −9.14318 | + | 8.48363i | −0.334755 | + | 0.310608i | ||||
\(747\) | −23.7006 | − | 4.48440i | −0.867161 | − | 0.164076i | ||||
\(748\) | 1.20043 | + | 0.754283i | 0.0438922 | + | 0.0275793i | ||||
\(749\) | 8.41466 | + | 2.91954i | 0.307465 | + | 0.106678i | ||||
\(750\) | −10.1633 | − | 27.2718i | −0.371112 | − | 0.995827i | ||||
\(751\) | 10.7455 | + | 27.3791i | 0.392109 | + | 0.999078i | 0.981540 | + | 0.191259i | \(0.0612571\pi\) |
−0.589430 | + | 0.807819i | \(0.700648\pi\) | |||||||
\(752\) | 5.72688 | − | 6.65476i | 0.208838 | − | 0.242674i | ||||
\(753\) | −3.97955 | + | 14.8519i | −0.145023 | + | 0.541232i | ||||
\(754\) | −5.84650 | + | 10.1264i | −0.212917 | + | 0.368783i | ||||
\(755\) | −47.3103 | + | 13.0175i | −1.72180 | + | 0.473757i | ||||
\(756\) | 5.16122 | − | 1.39753i | 0.187712 | − | 0.0508279i | ||||
\(757\) | −9.26757 | + | 26.4852i | −0.336836 | + | 0.962621i | 0.643528 | + | 0.765423i | \(0.277470\pi\) |
−0.980364 | + | 0.197198i | \(0.936816\pi\) | |||||||
\(758\) | 7.45816 | − | 6.41827i | 0.270893 | − | 0.233122i | ||||
\(759\) | −3.45738 | + | 1.06646i | −0.125495 | + | 0.0387101i | ||||
\(760\) | 0.753909 | − | 0.177404i | 0.0273471 | − | 0.00643511i | ||||
\(761\) | −37.2511 | − | 2.79158i | −1.35035 | − | 0.101195i | −0.620180 | − | 0.784459i | \(-0.712940\pi\) |
−0.730171 | + | 0.683265i | \(0.760560\pi\) | |||||||
\(762\) | −4.91496 | − | 1.71982i | −0.178050 | − | 0.0623025i | ||||
\(763\) | 13.4206 | + | 33.9319i | 0.485859 | + | 1.22842i | ||||
\(764\) | −7.20234 | + | 14.9558i | −0.260571 | + | 0.541082i | ||||
\(765\) | 21.2431 | + | 14.2755i | 0.768047 | + | 0.516133i | ||||
\(766\) | 0.456616 | − | 0.263627i | 0.0164982 | − | 0.00952524i | ||||
\(767\) | 1.06244 | + | 0.914301i | 0.0383624 | + | 0.0330135i | ||||
\(768\) | −2.38595 | − | 1.04098i | −0.0860954 | − | 0.0375630i | ||||
\(769\) | 5.60002 | − | 24.5353i | 0.201942 | − | 0.884765i | −0.767811 | − | 0.640676i | \(-0.778654\pi\) |
0.969753 | − | 0.244089i | \(-0.0784888\pi\) | |||||||
\(770\) | 0.437988 | + | 2.73237i | 0.0157840 | + | 0.0984679i | ||||
\(771\) | −3.54248 | − | 15.5206i | −0.127579 | − | 0.558961i | ||||
\(772\) | 2.08243 | − | 11.0059i | 0.0749481 | − | 0.396110i | ||||
\(773\) | −1.16881 | + | 31.2371i | −0.0420392 | + | 1.12352i | 0.805435 | + | 0.592684i | \(0.201932\pi\) |
−0.847474 | + | 0.530837i | \(0.821878\pi\) | |||||||
\(774\) | −2.65258 | + | 17.5987i | −0.0953450 | + | 0.632573i | ||||
\(775\) | −9.28770 | − | 11.3311i | −0.333624 | − | 0.407027i | ||||
\(776\) | −11.6026 | + | 9.25274i | −0.416508 | + | 0.332154i | ||||
\(777\) | 59.7583 | + | 8.84610i | 2.14382 | + | 0.317352i | ||||
\(778\) | −36.8695 | + | 4.15419i | −1.32183 | + | 0.148935i | ||||
\(779\) | 0.254073 | + | 1.68566i | 0.00910311 | + | 0.0603952i | ||||
\(780\) | 23.1695 | − | 2.76810i | 0.829600 | − | 0.0991137i | ||||
\(781\) | −2.24421 | + | 5.71816i | −0.0803042 | + | 0.204612i | ||||
\(782\) | 4.20841 | + | 7.96270i | 0.150492 | + | 0.284746i | ||||
\(783\) | 4.16839 | − | 4.16839i | 0.148966 | − | 0.148966i | ||||
\(784\) | 2.52300 | − | 6.52951i | 0.0901072 | − | 0.233197i | ||||
\(785\) | 15.6107 | + | 1.06460i | 0.557169 | + | 0.0379973i | ||||
\(786\) | 35.1429 | + | 10.8402i | 1.25351 | + | 0.386656i | ||||
\(787\) | −43.5558 | + | 19.0032i | −1.55260 | + | 0.677392i | −0.988899 | − | 0.148589i | \(-0.952527\pi\) |
−0.563699 | + | 0.825980i | \(0.690622\pi\) | |||||||
\(788\) | 0.0146429 | + | 0.0773894i | 0.000521630 | + | 0.00275688i | ||||
\(789\) | −4.00034 | + | 0.602955i | −0.142416 | + | 0.0214658i | ||||
\(790\) | −23.9156 | + | 26.1242i | −0.850878 | + | 0.929456i | ||||
\(791\) | −43.7908 | + | 8.40527i | −1.55702 | + | 0.298857i | ||||
\(792\) | −1.75530 | − | 0.197774i | −0.0623717 | − | 0.00702761i | ||||
\(793\) | 0.781191 | + | 20.8778i | 0.0277409 | + | 0.741392i | ||||
\(794\) | 8.27170 | + | 1.24676i | 0.293552 | + | 0.0442458i | ||||
\(795\) | −5.69396 | + | 53.7751i | −0.201944 | + | 1.90721i | ||||
\(796\) | −7.77158 | − | 11.3988i | −0.275456 | − | 0.404020i | ||||
\(797\) | 6.45092 | − | 10.2666i | 0.228503 | − | 0.363661i | −0.712719 | − | 0.701450i | \(-0.752536\pi\) |
0.941222 | + | 0.337789i | \(0.109679\pi\) | |||||||
\(798\) | −2.38552 | + | 0.00628754i | −0.0844464 | + | 0.000222576i | ||||
\(799\) | −25.9438 | − | 5.92150i | −0.917825 | − | 0.209488i | ||||
\(800\) | 2.60312 | − | 4.26893i | 0.0920343 | − | 0.150929i | ||||
\(801\) | −65.4878 | + | 4.90763i | −2.31390 | + | 0.173403i | ||||
\(802\) | 10.9435 | + | 2.93231i | 0.386430 | + | 0.103544i | ||||
\(803\) | 1.65822 | + | 6.18856i | 0.0585173 | + | 0.218389i | ||||
\(804\) | −22.0645 | − | 10.6257i | −0.778157 | − | 0.374740i | ||||
\(805\) | −6.26929 | + | 16.4235i | −0.220963 | + | 0.578852i | ||||
\(806\) | 10.5833 | − | 5.09666i | 0.372782 | − | 0.179522i | ||||
\(807\) | −12.0886 | − | 14.0472i | −0.425539 | − | 0.494485i | ||||
\(808\) | −6.52936 | + | 12.3542i | −0.229702 | + | 0.434618i | ||||
\(809\) | −2.56748 | − | 8.32356i | −0.0902678 | − | 0.292641i | 0.899170 | − | 0.437600i | \(-0.144171\pi\) |
−0.989438 | + | 0.144959i | \(0.953695\pi\) | |||||||
\(810\) | 13.4305 | + | 1.93227i | 0.471899 | + | 0.0678930i | ||||
\(811\) | 13.5874 | + | 28.2144i | 0.477117 | + | 0.990743i | 0.991122 | + | 0.132956i | \(0.0424469\pi\) |
−0.514005 | + | 0.857787i | \(0.671839\pi\) | |||||||
\(812\) | −1.17031 | − | 7.62803i | −0.0410699 | − | 0.267691i | ||||
\(813\) | −13.3982 | − | 38.2900i | −0.469897 | − | 1.34289i | ||||
\(814\) | −3.55307 | − | 2.05137i | −0.124535 | − | 0.0719003i | ||||
\(815\) | −11.1207 | − | 22.7015i | −0.389540 | − | 0.795198i | ||||
\(816\) | 0.589624 | + | 7.86799i | 0.0206410 | + | 0.275435i | ||||
\(817\) | 0.652775 | − | 1.49618i | 0.0228377 | − | 0.0523446i | ||||
\(818\) | −1.83271 | − | 2.91674i | −0.0640793 | − | 0.101982i | ||||
\(819\) | −39.8127 | − | 4.37958i | −1.39117 | − | 0.153035i | ||||
\(820\) | 8.89839 | + | 6.47556i | 0.310745 | + | 0.226136i | ||||
\(821\) | −19.3481 | + | 13.1913i | −0.675252 | + | 0.460379i | −0.851768 | − | 0.523919i | \(-0.824470\pi\) |
0.176516 | + | 0.984298i | \(0.443517\pi\) | |||||||
\(822\) | −23.0077 | − | 0.860886i | −0.802484 | − | 0.0300268i | ||||
\(823\) | 25.6113 | + | 34.7020i | 0.892753 | + | 1.20964i | 0.977010 | + | 0.213193i | \(0.0683864\pi\) |
−0.0842572 | + | 0.996444i | \(0.526852\pi\) | |||||||
\(824\) | −0.837794 | − | 0.777360i | −0.0291859 | − | 0.0270806i | ||||
\(825\) | 1.49669 | − | 5.90129i | 0.0521079 | − | 0.205457i | ||||
\(826\) | −0.924541 | − | 0.0321539i | −0.0321689 | − | 0.00111878i | ||||
\(827\) | −4.87827 | − | 43.2958i | −0.169634 | − | 1.50554i | −0.733507 | − | 0.679682i | \(-0.762118\pi\) |
0.563873 | − | 0.825862i | \(-0.309311\pi\) | |||||||
\(828\) | −9.02866 | − | 6.66346i | −0.313768 | − | 0.231571i | ||||
\(829\) | 45.3796 | + | 30.9393i | 1.57610 | + | 1.07457i | 0.957331 | + | 0.288992i | \(0.0933202\pi\) |
0.618768 | + | 0.785574i | \(0.287632\pi\) | |||||||
\(830\) | 13.4492 | − | 4.80759i | 0.466828 | − | 0.166874i | ||||
\(831\) | 15.7308 | − | 50.9981i | 0.545697 | − | 1.76911i | ||||
\(832\) | 2.83462 | + | 2.83462i | 0.0982729 | + | 0.0982729i | ||||
\(833\) | −21.0706 | + | 2.48663i | −0.730051 | + | 0.0861567i | ||||
\(834\) | − | 20.1718i | − | 0.698493i | ||||||
\(835\) | −9.39071 | − | 3.61307i | −0.324979 | − | 0.125036i | ||||
\(836\) | 0.150814 | + | 0.0591902i | 0.00521602 | + | 0.00204714i | ||||
\(837\) | −5.81878 | + | 1.10097i | −0.201126 | + | 0.0380552i | ||||
\(838\) | 7.84752 | − | 10.6330i | 0.271088 | − | 0.367311i | ||||
\(839\) | 1.25847 | − | 1.57807i | 0.0434471 | − | 0.0544809i | −0.759633 | − | 0.650352i | \(-0.774622\pi\) |
0.803080 | + | 0.595871i | \(0.203193\pi\) | |||||||
\(840\) | −10.7875 | + | 10.9910i | −0.372205 | + | 0.379226i | ||||
\(841\) | 12.7765 | + | 16.0212i | 0.440569 | + | 0.552456i | ||||
\(842\) | −29.5264 | + | 1.10480i | −1.01755 | + | 0.0380739i | ||||
\(843\) | 64.7227 | − | 47.7675i | 2.22917 | − | 1.64520i | ||||
\(844\) | −13.2056 | − | 14.2323i | −0.454556 | − | 0.489895i | ||||
\(845\) | −6.64296 | − | 1.73230i | −0.228525 | − | 0.0595929i | ||||
\(846\) | 32.3241 | − | 7.37777i | 1.11133 | − | 0.253653i | ||||
\(847\) | 12.3085 | − | 25.7321i | 0.422925 | − | 0.884166i | ||||
\(848\) | −7.86613 | + | 4.94262i | −0.270124 | + | 0.169730i | ||||
\(849\) | 56.9872 | − | 22.3658i | 1.95580 | − | 0.767593i | ||||
\(850\) | −15.1263 | − | 0.929669i | −0.518828 | − | 0.0318874i | ||||
\(851\) | −13.0316 | − | 22.5714i | −0.446718 | − | 0.773738i | ||||
\(852\) | −33.0212 | + | 8.84800i | −1.13129 | + | 0.303128i | ||||
\(853\) | 43.1773 | − | 15.1084i | 1.47836 | − | 0.517302i | 0.533794 | − | 0.845614i | \(-0.320766\pi\) |
0.944569 | + | 0.328313i | \(0.106480\pi\) | |||||||
\(854\) | −9.02178 | − | 10.4278i | −0.308719 | − | 0.356831i | ||||
\(855\) | 2.68855 | + | 1.15159i | 0.0919463 | + | 0.0393837i | ||||
\(856\) | 0.251574 | − | 3.35702i | 0.00859862 | − | 0.114741i | ||||
\(857\) | 41.4134 | + | 21.8876i | 1.41466 | + | 0.747667i | 0.987664 | − | 0.156588i | \(-0.0500495\pi\) |
0.426992 | + | 0.904256i | \(0.359573\pi\) | |||||||
\(858\) | 4.31552 | + | 2.28082i | 0.147329 | + | 0.0778658i | ||||
\(859\) | 2.89545 | − | 38.6371i | 0.0987914 | − | 1.31828i | −0.698903 | − | 0.715217i | \(-0.746328\pi\) |
0.797694 | − | 0.603062i | \(-0.206053\pi\) | |||||||
\(860\) | −3.91578 | − | 9.78375i | −0.133527 | − | 0.333623i | ||||
\(861\) | −22.1782 | − | 25.6345i | −0.755830 | − | 0.873622i | ||||
\(862\) | 4.51786 | − | 1.58087i | 0.153879 | − | 0.0538446i | ||||
\(863\) | −26.5709 | + | 7.11964i | −0.904482 | + | 0.242355i | −0.680940 | − | 0.732339i | \(-0.738429\pi\) |
−0.223542 | + | 0.974694i | \(0.571762\pi\) | |||||||
\(864\) | −1.01050 | − | 1.75024i | −0.0343780 | − | 0.0595445i | ||||
\(865\) | 25.7430 | − | 0.172694i | 0.875287 | − | 0.00587178i | ||||
\(866\) | −6.88836 | + | 2.70348i | −0.234076 | + | 0.0918680i | ||||
\(867\) | −17.2215 | + | 10.8210i | −0.584873 | + | 0.367500i | ||||
\(868\) | −3.34533 | + | 6.99375i | −0.113548 | + | 0.237383i | ||||
\(869\) | −7.22313 | + | 1.64863i | −0.245028 | + | 0.0559260i | ||||
\(870\) | −4.28424 | + | 16.4291i | −0.145249 | + | 0.556998i | ||||
\(871\) | 25.6517 | + | 27.6460i | 0.869175 | + | 0.936747i | ||||
\(872\) | 11.0968 | − | 8.18983i | 0.375786 | − | 0.277343i | ||||
\(873\) | −56.0031 | + | 2.09549i | −1.89542 | + | 0.0709215i | ||||
\(874\) | 0.641706 | + | 0.804673i | 0.0217060 | + | 0.0272185i | ||||
\(875\) | −18.1026 | − | 23.3944i | −0.611978 | − | 0.790875i | ||||
\(876\) | −22.2310 | + | 27.8768i | −0.751115 | + | 0.941869i | ||||
\(877\) | −2.84263 | + | 3.85162i | −0.0959887 | + | 0.130060i | −0.849960 | − | 0.526847i | \(-0.823374\pi\) |
0.753971 | + | 0.656908i | \(0.228136\pi\) | |||||||
\(878\) | 0.655516 | − | 0.124030i | 0.0221226 | − | 0.00418582i | ||||
\(879\) | −0.696262 | − | 0.273263i | −0.0234843 | − | 0.00921693i | ||||
\(880\) | 0.955827 | − | 0.424678i | 0.0322209 | − | 0.0143159i | ||||
\(881\) | − | 25.9001i | − | 0.872597i | −0.899802 | − | 0.436299i | \(-0.856289\pi\) | ||
0.899802 | − | 0.436299i | \(-0.143711\pi\) | |||||||
\(882\) | 22.3084 | − | 14.1818i | 0.751162 | − | 0.477528i | ||||
\(883\) | −17.3951 | − | 17.3951i | −0.585393 | − | 0.585393i | 0.350987 | − | 0.936380i | \(-0.385846\pi\) |
−0.936380 | + | 0.350987i | \(0.885846\pi\) | |||||||
\(884\) | 3.58140 | − | 11.6106i | 0.120456 | − | 0.390507i | ||||
\(885\) | 1.83960 | + | 0.870753i | 0.0618376 | + | 0.0292700i | ||||
\(886\) | −4.39271 | − | 2.99490i | −0.147576 | − | 0.100616i | ||||
\(887\) | 13.2634 | + | 9.78886i | 0.445343 | + | 0.328678i | 0.793298 | − | 0.608833i | \(-0.208362\pi\) |
−0.347956 | + | 0.937511i | \(0.613124\pi\) | |||||||
\(888\) | −2.55645 | − | 22.6891i | −0.0857887 | − | 0.761396i | ||||
\(889\) | −5.28920 | − | 0.183949i | −0.177394 | − | 0.00616945i | ||||
\(890\) | 31.9810 | − | 22.1200i | 1.07200 | − | 0.741463i | ||||
\(891\) | 2.08068 | + | 1.93059i | 0.0697054 | + | 0.0646771i | ||||
\(892\) | 1.15067 | + | 1.55910i | 0.0385273 | + | 0.0522026i | ||||
\(893\) | −3.03887 | − | 0.113706i | −0.101692 | − | 0.00380504i | ||||
\(894\) | 29.9832 | − | 20.4422i | 1.00279 | − | 0.683688i | ||||
\(895\) | 14.5405 | − | 19.9809i | 0.486036 | − | 0.667886i | ||||
\(896\) | −2.62989 | − | 0.289300i | −0.0878584 | − | 0.00966482i | ||||
\(897\) | 16.4974 | + | 26.2555i | 0.550834 | + | 0.876647i | ||||
\(898\) | 11.8769 | − | 27.2221i | 0.396336 | − | 0.908412i | ||||
\(899\) | 0.638724 | + | 8.52318i | 0.0213026 | + | 0.284264i | ||||
\(900\) | 17.4825 | − | 7.13351i | 0.582750 | − | 0.237784i | ||||
\(901\) | 24.3855 | + | 14.0790i | 0.812398 | + | 0.469038i | ||||
\(902\) | 0.760341 | + | 2.17293i | 0.0253166 | + | 0.0723507i | ||||
\(903\) | 4.92231 | + | 32.0834i | 0.163804 | + | 1.06767i | ||||
\(904\) | 7.31245 | + | 15.1845i | 0.243209 | + | 0.505028i | ||||
\(905\) | −12.5861 | + | 9.42004i | −0.418376 | + | 0.313133i | ||||
\(906\) | −16.8375 | − | 54.5859i | −0.559389 | − | 1.81350i | ||||
\(907\) | 10.4158 | − | 19.7076i | 0.345850 | − | 0.654379i | −0.648420 | − | 0.761283i | \(-0.724570\pi\) |
0.994269 | + | 0.106904i | \(0.0340936\pi\) | |||||||
\(908\) | 12.2791 | + | 14.2686i | 0.407497 | + | 0.473520i | ||||
\(909\) | −47.5432 | + | 22.8956i | −1.57691 | + | 0.759399i | ||||
\(910\) | 21.6478 | − | 9.68660i | 0.717616 | − | 0.321108i | ||||
\(911\) | −48.3275 | − | 23.2733i | −1.60116 | − | 0.771079i | −0.601547 | − | 0.798837i | \(-0.705449\pi\) |
−0.999615 | + | 0.0277584i | \(0.991163\pi\) | |||||||
\(912\) | 0.233363 | + | 0.870921i | 0.00772741 | + | 0.0288391i | ||||
\(913\) | 2.88591 | + | 0.773277i | 0.0955096 | + | 0.0255917i | ||||
\(914\) | −35.0092 | + | 2.62358i | −1.15800 | + | 0.0867802i | ||||
\(915\) | 9.13602 | + | 28.9278i | 0.302027 | + | 0.956324i | ||||
\(916\) | 11.1475 | + | 2.54434i | 0.368324 | + | 0.0840675i | ||||
\(917\) | 37.3786 | − | 0.0985193i | 1.23435 | − | 0.00325339i | ||||
\(918\) | −3.25902 | + | 5.18670i | −0.107564 | + | 0.171187i | ||||
\(919\) | −0.442611 | − | 0.649191i | −0.0146004 | − | 0.0214148i | 0.818869 | − | 0.573980i | \(-0.194601\pi\) |
−0.833470 | + | 0.552565i | \(0.813649\pi\) | |||||||
\(920\) | 6.60745 | + | 0.699627i | 0.217841 | + | 0.0230660i | ||||
\(921\) | −37.6182 | − | 5.67004i | −1.23956 | − | 0.186834i | ||||
\(922\) | 0.229704 | + | 6.13897i | 0.00756490 | + | 0.202176i | ||||
\(923\) | 52.3144 | + | 5.89442i | 1.72195 | + | 0.194017i | ||||
\(924\) | −3.16378 | + | 0.607261i | −0.104081 | + | 0.0199774i | ||||
\(925\) | 43.8433 | + | 1.05171i | 1.44156 | + | 0.0345800i | ||||
\(926\) | 16.1944 | − | 2.44091i | 0.532181 | − | 0.0802134i | ||||
\(927\) | −0.802387 | − | 4.24072i | −0.0263538 | − | 0.139283i | ||||
\(928\) | −2.67348 | + | 1.16643i | −0.0877614 | + | 0.0382899i | ||||
\(929\) | −39.7451 | − | 12.2598i | −1.30400 | − | 0.402229i | −0.436514 | − | 0.899698i | \(-0.643787\pi\) |
−0.867482 | + | 0.497468i | \(0.834263\pi\) | |||||||
\(930\) | 12.8533 | − | 11.2121i | 0.421476 | − | 0.367659i | ||||
\(931\) | −2.31305 | + | 0.726857i | −0.0758072 | + | 0.0238218i | ||||
\(932\) | 16.0768 | − | 16.0768i | 0.526614 | − | 0.526614i | ||||
\(933\) | 33.1641 | + | 62.7495i | 1.08574 | + | 2.05433i | ||||
\(934\) | 8.11017 | − | 20.6644i | 0.265373 | − | 0.676159i | ||||
\(935\) | −2.49174 | − | 1.95989i | −0.0814885 | − | 0.0640953i | ||||
\(936\) | 2.25629 | + | 14.9695i | 0.0737490 | + | 0.489293i | ||||
\(937\) | −13.6820 | + | 1.54159i | −0.446973 | + | 0.0503617i | −0.332582 | − | 0.943074i | \(-0.607920\pi\) |
−0.114390 | + | 0.993436i | \(0.536491\pi\) | |||||||
\(938\) | −24.6223 | − | 3.64487i | −0.803947 | − | 0.119009i | ||||
\(939\) | 36.8154 | − | 29.3593i | 1.20143 | − | 0.958105i | ||||
\(940\) | −14.3014 | + | 13.4494i | −0.466459 | + | 0.438671i | ||||
\(941\) | −3.32510 | + | 22.0606i | −0.108395 | + | 0.719154i | 0.866938 | + | 0.498416i | \(0.166085\pi\) |
−0.975333 | + | 0.220738i | \(0.929153\pi\) | |||||||
\(942\) | −0.681103 | + | 18.2029i | −0.0221915 | + | 0.593081i | ||||
\(943\) | −2.71887 | + | 14.3696i | −0.0885387 | + | 0.467938i | ||||
\(944\) | 0.0778056 | + | 0.340889i | 0.00253236 | + | 0.0110950i | ||||
\(945\) | −11.8057 | + | 1.89241i | −0.384040 | + | 0.0615601i | ||||
\(946\) | 0.490536 | − | 2.14918i | 0.0159487 | − | 0.0698758i | ||||
\(947\) | −0.304273 | − | 0.132753i | −0.00988755 | − | 0.00431389i | 0.394942 | − | 0.918706i | \(-0.370765\pi\) |
−0.404830 | + | 0.914392i | \(0.632669\pi\) | |||||||
\(948\) | −31.2528 | − | 26.8952i | −1.01504 | − | 0.873517i | ||||
\(949\) | 47.5523 | − | 27.4543i | 1.54361 | − | 0.891205i | ||||
\(950\) | −1.71819 | + | 0.216975i | −0.0557454 | + | 0.00703960i | ||||
\(951\) | −4.52050 | + | 9.38692i | −0.146587 | + | 0.304392i | ||||
\(952\) | 2.94940 | + | 7.45710i | 0.0955907 | + | 0.241686i | ||||
\(953\) | −26.4412 | − | 9.25219i | −0.856515 | − | 0.299708i | −0.133931 | − | 0.990991i | \(-0.542760\pi\) |
−0.722584 | + | 0.691283i | \(0.757046\pi\) | |||||||
\(954\) | −34.9847 | − | 2.62174i | −1.13267 | − | 0.0848819i | ||||
\(955\) | 19.5367 | − | 31.5605i | 0.632193 | − | 1.02127i | ||||
\(956\) | 2.86755 | − | 0.884524i | 0.0927434 | − | 0.0286075i | ||||
\(957\) | −2.69204 | + | 2.31669i | −0.0870215 | + | 0.0748880i | ||||
\(958\) | 9.89080 | − | 28.2663i | 0.319557 | − | 0.913242i | ||||
\(959\) | −22.5872 | + | 6.11607i | −0.729378 | + | 0.197498i | ||||
\(960\) | 5.06038 | + | 2.87652i | 0.163323 | + | 0.0928394i | ||||
\(961\) | −11.2069 | + | 19.4109i | −0.361512 | + | 0.626157i | ||||
\(962\) | −9.10048 | + | 33.9635i | −0.293411 | + | 1.09503i | ||||
\(963\) | 8.29247 | − | 9.63602i | 0.267221 | − | 0.310517i | ||||
\(964\) | −9.50087 | − | 24.2078i | −0.306002 | − | 0.779681i | ||||
\(965\) | −7.22188 | + | 23.9828i | −0.232481 | + | 0.772033i | ||||
\(966\) | −19.3346 | − | 6.70832i | −0.622080 | − | 0.215837i | ||||
\(967\) | 1.69880 | + | 1.06743i | 0.0546297 | + | 0.0343261i | 0.559070 | − | 0.829120i | \(-0.311158\pi\) |
−0.504440 | + | 0.863447i | \(0.668301\pi\) | |||||||
\(968\) | −10.5933 | − | 2.00435i | −0.340480 | − | 0.0644223i | ||||
\(969\) | 2.00332 | − | 1.85881i | 0.0643560 | − | 0.0597137i | ||||
\(970\) | 27.9785 | − | 17.8429i | 0.898334 | − | 0.572902i | ||||
\(971\) | −32.7016 | + | 35.2439i | −1.04944 | + | 1.13103i | −0.0582908 | + | 0.998300i | \(0.518565\pi\) |
−0.991152 | + | 0.132731i | \(0.957625\pi\) | |||||||
\(972\) | −2.44746 | + | 21.7218i | −0.0785024 | + | 0.696728i | ||||
\(973\) | −6.09468 | − | 19.5751i | −0.195386 | − | 0.627550i | ||||
\(974\) | 21.3480 | + | 17.0244i | 0.684033 | + | 0.545498i | ||||
\(975\) | −52.1723 | + | 0.700016i | −1.67085 | + | 0.0224185i | ||||
\(976\) | −2.93584 | + | 4.30609i | −0.0939741 | + | 0.137835i | ||||
\(977\) | −2.89700 | − | 6.64000i | −0.0926833 | − | 0.212432i | 0.864045 | − | 0.503414i | \(-0.167923\pi\) |
−0.956729 | + | 0.290982i | \(0.906018\pi\) | |||||||
\(978\) | 26.0185 | − | 13.7512i | 0.831979 | − | 0.439714i | ||||
\(979\) | 8.13424 | 0.259971 | ||||||||
\(980\) | −7.14761 | + | 13.9252i | −0.228322 | + | 0.444825i | ||||
\(981\) | 52.0828 | 1.66288 | ||||||||
\(982\) | −30.0130 | + | 15.8623i | −0.957753 | + | 0.506187i | ||||
\(983\) | −0.574249 | − | 1.31619i | −0.0183157 | − | 0.0419801i | 0.907164 | − | 0.420777i | \(-0.138243\pi\) |
−0.925480 | + | 0.378797i | \(0.876338\pi\) | |||||||
\(984\) | −7.21716 | + | 10.5856i | −0.230075 | + | 0.337457i | ||||
\(985\) | −0.0143392 | − | 0.175534i | −0.000456884 | − | 0.00559296i | ||||
\(986\) | 6.91210 | + | 5.51222i | 0.220126 | + | 0.175545i | ||||
\(987\) | 52.2871 | − | 30.3720i | 1.66432 | − | 0.966752i | ||||
\(988\) | 0.155463 | − | 1.37977i | 0.00494594 | − | 0.0438964i | ||||
\(989\) | 9.52519 | − | 10.2657i | 0.302883 | − | 0.326431i | ||||
\(990\) | 3.85658 | + | 0.853061i | 0.122570 | + | 0.0271121i | ||||
\(991\) | −22.7820 | + | 21.1386i | −0.723694 | + | 0.671490i | −0.953379 | − | 0.301775i | \(-0.902421\pi\) |
0.229685 | + | 0.973265i | \(0.426230\pi\) | |||||||
\(992\) | 2.87915 | + | 0.544764i | 0.0914130 | + | 0.0172963i | ||||
\(993\) | 59.7841 | + | 37.5648i | 1.89719 | + | 1.19208i | ||||
\(994\) | −29.3711 | + | 18.5632i | −0.931594 | + | 0.588790i | ||||
\(995\) | 14.5973 | + | 27.1766i | 0.462767 | + | 0.861557i | ||||
\(996\) | 6.07464 | + | 15.4779i | 0.192482 | + | 0.490437i | ||||
\(997\) | −3.70842 | + | 4.30926i | −0.117447 | + | 0.136476i | −0.813617 | − | 0.581401i | \(-0.802505\pi\) |
0.696170 | + | 0.717877i | \(0.254886\pi\) | |||||||
\(998\) | 0.989003 | − | 3.69101i | 0.0313063 | − | 0.116837i | ||||
\(999\) | 8.86330 | − | 15.3517i | 0.280423 | − | 0.485706i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 490.2.w.a.243.13 | yes | 672 | |
5.2 | odd | 4 | inner | 490.2.w.a.47.13 | ✓ | 672 | |
49.24 | odd | 42 | inner | 490.2.w.a.73.13 | yes | 672 | |
245.122 | even | 84 | inner | 490.2.w.a.367.13 | yes | 672 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
490.2.w.a.47.13 | ✓ | 672 | 5.2 | odd | 4 | inner | |
490.2.w.a.73.13 | yes | 672 | 49.24 | odd | 42 | inner | |
490.2.w.a.243.13 | yes | 672 | 1.1 | even | 1 | trivial | |
490.2.w.a.367.13 | yes | 672 | 245.122 | even | 84 | inner |