Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [125,2,Mod(4,125)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(125, base_ring=CyclotomicField(50))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("125.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 125 = 5^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 125.h (of order \(50\), degree \(20\), 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: | \(0.998130025266\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{50})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{50}]$ |
Embedding invariants
Embedding label | 109.9 | ||
Character | \(\chi\) | \(=\) | 125.109 |
Dual form | 125.2.h.a.39.9 |
$q$-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 \(\left(\mathbb{Z}/125\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{27}{50}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.164819 | − | 1.30468i | 0.116545 | − | 0.922546i | −0.820089 | − | 0.572236i | \(-0.806076\pi\) |
0.936634 | − | 0.350310i | \(-0.113924\pi\) | |||||||
\(3\) | 0.834940 | − | 0.690722i | 0.482053 | − | 0.398789i | −0.364408 | − | 0.931239i | \(-0.618729\pi\) |
0.846461 | + | 0.532451i | \(0.178729\pi\) | |||||||
\(4\) | 0.262149 | + | 0.0673084i | 0.131074 | + | 0.0336542i | ||||
\(5\) | 1.40535 | + | 1.73925i | 0.628492 | + | 0.777816i | ||||
\(6\) | −0.763556 | − | 1.20317i | −0.311720 | − | 0.491193i | ||||
\(7\) | −1.21231 | + | 0.393902i | −0.458209 | + | 0.148881i | −0.529021 | − | 0.848609i | \(-0.677441\pi\) |
0.0708124 | + | 0.997490i | \(0.477441\pi\) | |||||||
\(8\) | 1.09922 | − | 2.77633i | 0.388635 | − | 0.981579i | ||||
\(9\) | −0.342117 | + | 1.79344i | −0.114039 | + | 0.597813i | ||||
\(10\) | 2.50079 | − | 1.54687i | 0.790818 | − | 0.489163i | ||||
\(11\) | −3.74238 | − | 0.472772i | −1.12837 | − | 0.142546i | −0.461090 | − | 0.887353i | \(-0.652541\pi\) |
−0.667280 | + | 0.744807i | \(0.732541\pi\) | |||||||
\(12\) | 0.265370 | − | 0.124874i | 0.0766057 | − | 0.0360479i | ||||
\(13\) | −5.95805 | − | 1.13656i | −1.65247 | − | 0.315225i | −0.724891 | − | 0.688863i | \(-0.758110\pi\) |
−0.927574 | + | 0.373639i | \(0.878110\pi\) | |||||||
\(14\) | 0.314104 | + | 1.64659i | 0.0839479 | + | 0.440070i | ||||
\(15\) | 2.37472 | + | 0.481460i | 0.613151 | + | 0.124313i | ||||
\(16\) | −2.96669 | − | 1.63095i | −0.741672 | − | 0.407737i | ||||
\(17\) | −0.00423762 | − | 0.0165044i | −0.00102777 | − | 0.00400292i | 0.968067 | − | 0.250691i | \(-0.0806577\pi\) |
−0.969095 | + | 0.246688i | \(0.920658\pi\) | |||||||
\(18\) | 2.28347 | + | 0.741945i | 0.538219 | + | 0.174878i | ||||
\(19\) | 0.137279 | − | 0.165942i | 0.0314940 | − | 0.0380698i | −0.754531 | − | 0.656264i | \(-0.772136\pi\) |
0.786025 | + | 0.618195i | \(0.212136\pi\) | |||||||
\(20\) | 0.251345 | + | 0.550534i | 0.0562025 | + | 0.123103i | ||||
\(21\) | −0.740126 | + | 1.16625i | −0.161509 | + | 0.254497i | ||||
\(22\) | −1.23363 | + | 4.80467i | −0.263011 | + | 1.02436i | ||||
\(23\) | 6.31419 | − | 6.72393i | 1.31660 | − | 1.40204i | 0.458380 | − | 0.888756i | \(-0.348430\pi\) |
0.858221 | − | 0.513281i | \(-0.171570\pi\) | |||||||
\(24\) | −0.999883 | − | 3.07732i | −0.204100 | − | 0.628156i | ||||
\(25\) | −1.04997 | + | 4.88851i | −0.209995 | + | 0.977703i | ||||
\(26\) | −2.46484 | + | 7.58601i | −0.483395 | + | 1.48774i | ||||
\(27\) | 2.51923 | + | 4.58246i | 0.484826 | + | 0.881895i | ||||
\(28\) | −0.344318 | + | 0.0216626i | −0.0650700 | + | 0.00409385i | ||||
\(29\) | 0.437061 | + | 6.94688i | 0.0811601 | + | 1.29000i | 0.802177 | + | 0.597086i | \(0.203675\pi\) |
−0.721017 | + | 0.692917i | \(0.756325\pi\) | |||||||
\(30\) | 1.01955 | − | 3.01889i | 0.186143 | − | 0.551172i | ||||
\(31\) | −0.602769 | + | 0.154765i | −0.108260 | + | 0.0277966i | −0.302431 | − | 0.953171i | \(-0.597798\pi\) |
0.194171 | + | 0.980968i | \(0.437798\pi\) | |||||||
\(32\) | 0.893439 | − | 1.22971i | 0.157939 | − | 0.217385i | ||||
\(33\) | −3.45121 | + | 2.19021i | −0.600779 | + | 0.381266i | ||||
\(34\) | −0.0222314 | + | 0.00280848i | −0.00381266 | + | 0.000481651i | ||||
\(35\) | −2.38881 | − | 1.55493i | −0.403783 | − | 0.262831i | ||||
\(36\) | −0.210399 | + | 0.447121i | −0.0350665 | + | 0.0745201i | ||||
\(37\) | 0.851322 | − | 1.54855i | 0.139956 | − | 0.254580i | −0.797034 | − | 0.603934i | \(-0.793599\pi\) |
0.936991 | + | 0.349354i | \(0.113599\pi\) | |||||||
\(38\) | −0.193875 | − | 0.206456i | −0.0314506 | − | 0.0334915i | ||||
\(39\) | −5.75966 | + | 3.16640i | −0.922284 | + | 0.507030i | ||||
\(40\) | 6.37352 | − | 1.98989i | 1.00774 | − | 0.314629i | ||||
\(41\) | 7.92308 | − | 7.44027i | 1.23738 | − | 1.16197i | 0.256669 | − | 0.966499i | \(-0.417375\pi\) |
0.980709 | − | 0.195475i | \(-0.0626250\pi\) | |||||||
\(42\) | 1.39960 | + | 1.15785i | 0.215962 | + | 0.178660i | ||||
\(43\) | −1.68397 | − | 2.31778i | −0.256803 | − | 0.353459i | 0.661076 | − | 0.750319i | \(-0.270100\pi\) |
−0.917879 | + | 0.396860i | \(0.870100\pi\) | |||||||
\(44\) | −0.949239 | − | 0.375830i | −0.143103 | − | 0.0566585i | ||||
\(45\) | −3.60003 | + | 1.92539i | −0.536661 | + | 0.287020i | ||||
\(46\) | −7.73186 | − | 9.34622i | −1.14000 | − | 1.37802i | ||||
\(47\) | 2.05868 | + | 5.19962i | 0.300289 | + | 0.758442i | 0.999070 | + | 0.0431076i | \(0.0137258\pi\) |
−0.698782 | + | 0.715335i | \(0.746274\pi\) | |||||||
\(48\) | −3.60354 | + | 0.687412i | −0.520126 | + | 0.0992193i | ||||
\(49\) | −4.34859 | + | 3.15944i | −0.621227 | + | 0.451348i | ||||
\(50\) | 6.20488 | + | 2.17560i | 0.877502 | + | 0.307676i | ||||
\(51\) | −0.0149382 | − | 0.0108532i | −0.00209176 | − | 0.00151975i | ||||
\(52\) | −1.48540 | − | 0.698974i | −0.205987 | − | 0.0969303i | ||||
\(53\) | 5.79344 | + | 3.67663i | 0.795790 | + | 0.505023i | 0.870492 | − | 0.492182i | \(-0.163801\pi\) |
−0.0747025 | + | 0.997206i | \(0.523801\pi\) | |||||||
\(54\) | 6.39385 | − | 2.53150i | 0.870092 | − | 0.344494i | ||||
\(55\) | −4.43709 | − | 7.17334i | −0.598297 | − | 0.967253i | ||||
\(56\) | −0.238997 | + | 3.79875i | −0.0319373 | + | 0.507629i | ||||
\(57\) | − | 0.233374i | − | 0.0309111i | ||||||
\(58\) | 9.13547 | + | 0.574755i | 1.19955 | + | 0.0754691i | ||||
\(59\) | −2.05519 | − | 4.36749i | −0.267562 | − | 0.568599i | 0.725222 | − | 0.688515i | \(-0.241737\pi\) |
−0.992784 | + | 0.119917i | \(0.961737\pi\) | |||||||
\(60\) | 0.590124 | + | 0.286053i | 0.0761847 | + | 0.0369293i | ||||
\(61\) | −2.18307 | − | 2.05004i | −0.279513 | − | 0.262481i | 0.532092 | − | 0.846687i | \(-0.321406\pi\) |
−0.811605 | + | 0.584206i | \(0.801406\pi\) | |||||||
\(62\) | 0.102570 | + | 0.811927i | 0.0130264 | + | 0.103115i | ||||
\(63\) | −0.291689 | − | 2.30896i | −0.0367494 | − | 0.290901i | ||||
\(64\) | −6.39289 | − | 6.00332i | −0.799111 | − | 0.750415i | ||||
\(65\) | −6.39640 | − | 11.9598i | −0.793375 | − | 1.48343i | ||||
\(66\) | 2.28869 | + | 4.86371i | 0.281718 | + | 0.598681i | ||||
\(67\) | 4.60439 | + | 0.289684i | 0.562516 | + | 0.0353905i | 0.341504 | − | 0.939880i | \(-0.389064\pi\) |
0.221012 | + | 0.975271i | \(0.429064\pi\) | |||||||
\(68\) | − | 0.00461185i | − | 0.000559269i | ||||||
\(69\) | 0.627601 | − | 9.97543i | 0.0755543 | − | 1.20090i | ||||
\(70\) | −2.42241 | + | 2.86035i | −0.289533 | + | 0.341877i | ||||
\(71\) | 9.58206 | − | 3.79380i | 1.13718 | − | 0.450242i | 0.277324 | − | 0.960777i | \(-0.410553\pi\) |
0.859857 | + | 0.510535i | \(0.170553\pi\) | |||||||
\(72\) | 4.60311 | + | 2.92122i | 0.542481 | + | 0.344269i | ||||
\(73\) | −7.84339 | − | 3.69082i | −0.918000 | − | 0.431978i | −0.0920710 | − | 0.995752i | \(-0.529349\pi\) |
−0.825929 | + | 0.563775i | \(0.809349\pi\) | |||||||
\(74\) | −1.88004 | − | 1.36593i | −0.218550 | − | 0.158786i | ||||
\(75\) | 2.49994 | + | 4.80685i | 0.288668 | + | 0.555048i | ||||
\(76\) | 0.0471569 | − | 0.0342615i | 0.00540927 | − | 0.00393006i | ||||
\(77\) | 4.72314 | − | 0.900987i | 0.538251 | − | 0.102677i | ||||
\(78\) | 3.18183 | + | 8.03638i | 0.360271 | + | 0.909941i | ||||
\(79\) | 5.56012 | + | 6.72103i | 0.625562 | + | 0.756175i | 0.984153 | − | 0.177320i | \(-0.0567427\pi\) |
−0.358591 | + | 0.933495i | \(0.616743\pi\) | |||||||
\(80\) | −1.33261 | − | 7.45187i | −0.148990 | − | 0.833144i | ||||
\(81\) | 0.175913 | + | 0.0696488i | 0.0195459 | + | 0.00773876i | ||||
\(82\) | −8.40127 | − | 11.5634i | −0.927766 | − | 1.27696i | ||||
\(83\) | −3.38646 | − | 2.80153i | −0.371713 | − | 0.307507i | 0.432746 | − | 0.901516i | \(-0.357545\pi\) |
−0.804459 | + | 0.594008i | \(0.797545\pi\) | |||||||
\(84\) | −0.272522 | + | 0.255915i | −0.0297346 | + | 0.0279226i | ||||
\(85\) | 0.0227500 | − | 0.0305648i | 0.00246758 | − | 0.00331522i | ||||
\(86\) | −3.30151 | + | 1.81502i | −0.356011 | + | 0.195719i | ||||
\(87\) | 5.16329 | + | 5.49834i | 0.553562 | + | 0.589484i | ||||
\(88\) | −5.42628 | + | 9.87038i | −0.578444 | + | 1.05219i | ||||
\(89\) | −1.31589 | + | 2.79641i | −0.139484 | + | 0.296419i | −0.962348 | − | 0.271819i | \(-0.912375\pi\) |
0.822864 | + | 0.568238i | \(0.192375\pi\) | |||||||
\(90\) | 1.91865 | + | 5.01422i | 0.202244 | + | 0.528545i | ||||
\(91\) | 7.67068 | − | 0.969032i | 0.804106 | − | 0.101582i | ||||
\(92\) | 2.10784 | − | 1.33767i | 0.219757 | − | 0.139462i | ||||
\(93\) | −0.396376 | + | 0.545565i | −0.0411023 | + | 0.0565725i | ||||
\(94\) | 7.12313 | − | 1.82891i | 0.734695 | − | 0.188638i | ||||
\(95\) | 0.481540 | + | 0.00555576i | 0.0494050 | + | 0.000570009i | ||||
\(96\) | −0.103423 | − | 1.64386i | −0.0105555 | − | 0.167775i | ||||
\(97\) | −9.71591 | + | 0.611273i | −0.986501 | + | 0.0620654i | −0.547837 | − | 0.836585i | \(-0.684548\pi\) |
−0.438665 | + | 0.898651i | \(0.644548\pi\) | |||||||
\(98\) | 3.40531 | + | 6.19424i | 0.343989 | + | 0.625713i | ||||
\(99\) | 2.12822 | − | 6.54998i | 0.213894 | − | 0.658298i | ||||
\(100\) | −0.604287 | + | 1.21085i | −0.0604287 | + | 0.121085i | ||||
\(101\) | 4.83870 | + | 14.8920i | 0.481469 | + | 1.48181i | 0.837030 | + | 0.547156i | \(0.184290\pi\) |
−0.355561 | + | 0.934653i | \(0.615710\pi\) | |||||||
\(102\) | −0.0166220 | + | 0.0177007i | −0.00164583 | + | 0.00175263i | ||||
\(103\) | −0.810687 | + | 3.15742i | −0.0798794 | + | 0.311110i | −0.995950 | − | 0.0899069i | \(-0.971343\pi\) |
0.916071 | + | 0.401017i | \(0.131343\pi\) | |||||||
\(104\) | −9.70469 | + | 15.2921i | −0.951623 | + | 1.49952i | ||||
\(105\) | −3.06854 | + | 0.351731i | −0.299459 | + | 0.0343254i | ||||
\(106\) | 5.75168 | − | 6.95259i | 0.558652 | − | 0.675295i | ||||
\(107\) | −17.7313 | − | 5.76123i | −1.71415 | − | 0.556960i | −0.723130 | − | 0.690711i | \(-0.757297\pi\) |
−0.991015 | + | 0.133752i | \(0.957297\pi\) | |||||||
\(108\) | 0.351975 | + | 1.37085i | 0.0338688 | + | 0.131910i | ||||
\(109\) | 12.0791 | + | 6.64056i | 1.15697 | + | 0.636050i | 0.940351 | − | 0.340206i | \(-0.110497\pi\) |
0.216620 | + | 0.976256i | \(0.430497\pi\) | |||||||
\(110\) | −10.0902 | + | 4.60667i | −0.962064 | + | 0.439228i | ||||
\(111\) | −0.358815 | − | 1.88097i | −0.0340572 | − | 0.178534i | ||||
\(112\) | 4.23897 | + | 0.808627i | 0.400545 | + | 0.0764081i | ||||
\(113\) | −5.52931 | + | 2.60189i | −0.520153 | + | 0.244766i | −0.667888 | − | 0.744261i | \(-0.732802\pi\) |
0.147735 | + | 0.989027i | \(0.452802\pi\) | |||||||
\(114\) | −0.304477 | − | 0.0384644i | −0.0285169 | − | 0.00360252i | ||||
\(115\) | 20.5683 | + | 1.53246i | 1.91800 | + | 0.142903i | ||||
\(116\) | −0.353008 | + | 1.85053i | −0.0327760 | + | 0.171818i | ||||
\(117\) | 4.07670 | − | 10.2966i | 0.376891 | − | 0.951917i | ||||
\(118\) | −6.03690 | + | 1.96151i | −0.555742 | + | 0.180571i | ||||
\(119\) | 0.0116384 | + | 0.0183392i | 0.00106689 | + | 0.00168116i | ||||
\(120\) | 3.94704 | − | 6.06377i | 0.360314 | − | 0.553544i | ||||
\(121\) | 3.12747 | + | 0.802997i | 0.284315 | + | 0.0729997i | ||||
\(122\) | −3.03445 | + | 2.51032i | −0.274726 | + | 0.227273i | ||||
\(123\) | 1.47614 | − | 11.6848i | 0.133099 | − | 1.05359i | ||||
\(124\) | −0.168432 | −0.0151257 | ||||||||
\(125\) | −9.97792 | + | 5.04391i | −0.892452 | + | 0.451141i | ||||
\(126\) | −3.06052 | −0.272653 | ||||||||
\(127\) | 1.28839 | − | 10.1987i | 0.114326 | − | 0.904985i | −0.825754 | − | 0.564031i | \(-0.809250\pi\) |
0.940080 | − | 0.340954i | \(-0.110750\pi\) | |||||||
\(128\) | −6.54369 | + | 5.41341i | −0.578386 | + | 0.478483i | ||||
\(129\) | −3.00696 | − | 0.772056i | −0.264748 | − | 0.0679757i | ||||
\(130\) | −16.6579 | + | 6.37403i | −1.46100 | + | 0.559040i | ||||
\(131\) | 0.231359 | + | 0.364564i | 0.0202139 | + | 0.0318521i | 0.854285 | − | 0.519805i | \(-0.173996\pi\) |
−0.834071 | + | 0.551658i | \(0.813996\pi\) | |||||||
\(132\) | −1.05215 | + | 0.341865i | −0.0915780 | + | 0.0297555i | ||||
\(133\) | −0.101060 | + | 0.255248i | −0.00876298 | + | 0.0221328i | ||||
\(134\) | 1.13684 | − | 5.95950i | 0.0982076 | − | 0.514822i | ||||
\(135\) | −4.42963 | + | 10.8215i | −0.381242 | + | 0.931369i | ||||
\(136\) | −0.0504798 | − | 0.00637708i | −0.00432861 | − | 0.000546830i | ||||
\(137\) | −0.554025 | + | 0.260705i | −0.0473336 | + | 0.0222735i | −0.449300 | − | 0.893381i | \(-0.648327\pi\) |
0.401967 | + | 0.915654i | \(0.368327\pi\) | |||||||
\(138\) | −12.9113 | − | 2.46296i | −1.09908 | − | 0.209661i | ||||
\(139\) | 0.536062 | + | 2.81013i | 0.0454681 | + | 0.238352i | 0.997765 | − | 0.0668209i | \(-0.0212856\pi\) |
−0.952297 | + | 0.305173i | \(0.901286\pi\) | |||||||
\(140\) | −0.521564 | − | 0.568411i | −0.0440802 | − | 0.0480395i | ||||
\(141\) | 5.31036 | + | 2.91940i | 0.447213 | + | 0.245858i | ||||
\(142\) | −3.37038 | − | 13.1268i | −0.282836 | − | 1.10158i | ||||
\(143\) | 21.7599 | + | 7.07023i | 1.81966 | + | 0.591243i | ||||
\(144\) | 3.93996 | − | 4.76260i | 0.328330 | − | 0.396883i | ||||
\(145\) | −11.4681 | + | 10.5230i | −0.952376 | + | 0.873885i | ||||
\(146\) | −6.10807 | + | 9.62478i | −0.505507 | + | 0.796552i | ||||
\(147\) | −1.44852 | + | 5.64161i | −0.119472 | + | 0.465312i | ||||
\(148\) | 0.327403 | − | 0.348649i | 0.0269124 | − | 0.0286588i | ||||
\(149\) | −4.39110 | − | 13.5144i | −0.359733 | − | 1.10715i | −0.953214 | − | 0.302297i | \(-0.902247\pi\) |
0.593481 | − | 0.804848i | \(-0.297753\pi\) | |||||||
\(150\) | 6.68343 | − | 2.46935i | 0.545700 | − | 0.201622i | ||||
\(151\) | 2.45647 | − | 7.56023i | 0.199905 | − | 0.615243i | −0.799980 | − | 0.600027i | \(-0.795156\pi\) |
0.999884 | − | 0.0152158i | \(-0.00484354\pi\) | |||||||
\(152\) | −0.309809 | − | 0.563540i | −0.0251288 | − | 0.0457091i | ||||
\(153\) | 0.0310495 | − | 0.00195347i | 0.00251020 | − | 0.000157929i | ||||
\(154\) | −0.397034 | − | 6.31067i | −0.0319939 | − | 0.508528i | ||||
\(155\) | −1.11628 | − | 0.830866i | −0.0896615 | − | 0.0667368i | ||||
\(156\) | −1.72301 | + | 0.442395i | −0.137951 | + | 0.0354199i | ||||
\(157\) | −5.53365 | + | 7.61641i | −0.441633 | + | 0.607856i | −0.970574 | − | 0.240803i | \(-0.922589\pi\) |
0.528941 | + | 0.848659i | \(0.322589\pi\) | |||||||
\(158\) | 9.68519 | − | 6.14641i | 0.770512 | − | 0.488982i | ||||
\(159\) | 7.37670 | − | 0.931894i | 0.585010 | − | 0.0739040i | ||||
\(160\) | 3.39438 | − | 0.174267i | 0.268349 | − | 0.0137770i | ||||
\(161\) | −5.00617 | + | 10.6386i | −0.394541 | + | 0.838443i | ||||
\(162\) | 0.119863 | − | 0.218030i | 0.00941733 | − | 0.0171301i | ||||
\(163\) | 3.98511 | + | 4.24371i | 0.312138 | + | 0.332393i | 0.865839 | − | 0.500322i | \(-0.166785\pi\) |
−0.553702 | + | 0.832715i | \(0.686785\pi\) | |||||||
\(164\) | 2.57782 | − | 1.41717i | 0.201294 | − | 0.110662i | ||||
\(165\) | −8.65949 | − | 2.92451i | −0.674140 | − | 0.227673i | ||||
\(166\) | −4.21324 | + | 3.95650i | −0.327011 | + | 0.307084i | ||||
\(167\) | −3.77349 | − | 3.12170i | −0.292001 | − | 0.241565i | 0.479876 | − | 0.877337i | \(-0.340682\pi\) |
−0.771877 | + | 0.635772i | \(0.780682\pi\) | |||||||
\(168\) | 2.42433 | + | 3.33680i | 0.187041 | + | 0.257440i | ||||
\(169\) | 22.1195 | + | 8.75773i | 1.70150 | + | 0.673671i | ||||
\(170\) | −0.0361276 | − | 0.0347191i | −0.00277086 | − | 0.00266283i | ||||
\(171\) | 0.250642 | + | 0.302974i | 0.0191670 | + | 0.0231690i | ||||
\(172\) | −0.285444 | − | 0.720950i | −0.0217649 | − | 0.0549719i | ||||
\(173\) | −0.980208 | + | 0.186985i | −0.0745238 | + | 0.0142162i | −0.224508 | − | 0.974472i | \(-0.572078\pi\) |
0.149985 | + | 0.988688i | \(0.452078\pi\) | |||||||
\(174\) | 8.02457 | − | 5.83019i | 0.608341 | − | 0.441986i | ||||
\(175\) | −0.652707 | − | 6.33996i | −0.0493400 | − | 0.479256i | ||||
\(176\) | 10.3314 | + | 7.50620i | 0.778758 | + | 0.565801i | ||||
\(177\) | −4.73268 | − | 2.22703i | −0.355730 | − | 0.167394i | ||||
\(178\) | 3.43153 | + | 2.17772i | 0.257204 | + | 0.163227i | ||||
\(179\) | 24.5872 | − | 9.73475i | 1.83773 | − | 0.727609i | 0.862636 | − | 0.505825i | \(-0.168812\pi\) |
0.975096 | − | 0.221784i | \(-0.0711881\pi\) | |||||||
\(180\) | −1.07334 | + | 0.262425i | −0.0800019 | + | 0.0195600i | ||||
\(181\) | 0.746809 | − | 11.8702i | 0.0555099 | − | 0.882304i | −0.867478 | − | 0.497476i | \(-0.834260\pi\) |
0.922988 | − | 0.384829i | \(-0.125740\pi\) | |||||||
\(182\) | − | 10.1675i | − | 0.753663i | ||||||
\(183\) | −3.23874 | − | 0.203764i | −0.239415 | − | 0.0150627i | ||||
\(184\) | −11.7271 | − | 24.9214i | −0.864534 | − | 1.83723i | ||||
\(185\) | 3.88972 | − | 0.695595i | 0.285978 | − | 0.0511411i | ||||
\(186\) | 0.646456 | + | 0.607063i | 0.0474005 | + | 0.0445120i | ||||
\(187\) | 0.00805594 | + | 0.0637693i | 0.000589109 | + | 0.00466327i | ||||
\(188\) | 0.189701 | + | 1.50164i | 0.0138354 | + | 0.109518i | ||||
\(189\) | −4.85912 | − | 4.56302i | −0.353449 | − | 0.331911i | ||||
\(190\) | 0.0866155 | − | 0.627339i | 0.00628375 | − | 0.0455120i | ||||
\(191\) | −4.08619 | − | 8.68359i | −0.295666 | − | 0.628322i | 0.700704 | − | 0.713452i | \(-0.252869\pi\) |
−0.996370 | + | 0.0851300i | \(0.972869\pi\) | |||||||
\(192\) | −9.48431 | − | 0.596702i | −0.684471 | − | 0.0430633i | ||||
\(193\) | − | 2.12588i | − | 0.153024i | −0.997069 | − | 0.0765120i | \(-0.975622\pi\) | ||
0.997069 | − | 0.0765120i | \(-0.0243783\pi\) | |||||||
\(194\) | −0.803853 | + | 12.7769i | −0.0577133 | + | 0.917326i | ||||
\(195\) | −13.6015 | − | 5.56758i | −0.974024 | − | 0.398702i | ||||
\(196\) | −1.35263 | + | 0.535546i | −0.0966167 | + | 0.0382533i | ||||
\(197\) | −11.0390 | − | 7.00559i | −0.786499 | − | 0.499128i | 0.0809110 | − | 0.996721i | \(-0.474217\pi\) |
−0.867410 | + | 0.497594i | \(0.834217\pi\) | |||||||
\(198\) | −8.19484 | − | 3.85620i | −0.582382 | − | 0.274048i | ||||
\(199\) | 6.35509 | + | 4.61724i | 0.450500 | + | 0.327307i | 0.789793 | − | 0.613373i | \(-0.210188\pi\) |
−0.339293 | + | 0.940681i | \(0.610188\pi\) | |||||||
\(200\) | 12.4179 | + | 8.28864i | 0.878081 | + | 0.586095i | ||||
\(201\) | 4.04448 | − | 2.93849i | 0.285276 | − | 0.207265i | ||||
\(202\) | 20.2268 | − | 3.85846i | 1.42315 | − | 0.271480i | ||||
\(203\) | −3.26625 | − | 8.24959i | −0.229245 | − | 0.579008i | ||||
\(204\) | −0.00318551 | − | 0.00385062i | −0.000223030 | − | 0.000269597i | ||||
\(205\) | 24.0752 | + | 3.32402i | 1.68148 | + | 0.232159i | ||||
\(206\) | 3.98580 | + | 1.57809i | 0.277704 | + | 0.109951i | ||||
\(207\) | 9.89877 | + | 13.6245i | 0.688012 | + | 0.946968i | ||||
\(208\) | 15.8220 | + | 13.0891i | 1.09706 | + | 0.907565i | ||||
\(209\) | −0.592204 | + | 0.556117i | −0.0409636 | + | 0.0384674i | ||||
\(210\) | −0.0468586 | + | 4.06143i | −0.00323355 | + | 0.280265i | ||||
\(211\) | −17.9497 | + | 9.86793i | −1.23571 | + | 0.679336i | −0.959486 | − | 0.281757i | \(-0.909083\pi\) |
−0.276222 | + | 0.961094i | \(0.589083\pi\) | |||||||
\(212\) | 1.27127 | + | 1.35377i | 0.0873115 | + | 0.0929773i | ||||
\(213\) | 5.37997 | − | 9.78614i | 0.368630 | − | 0.670535i | ||||
\(214\) | −10.4390 | + | 22.1840i | −0.713595 | + | 1.51647i | ||||
\(215\) | 1.66464 | − | 6.18614i | 0.113527 | − | 0.421892i | ||||
\(216\) | 15.4916 | − | 1.95704i | 1.05407 | − | 0.133160i | ||||
\(217\) | 0.669779 | − | 0.425055i | 0.0454675 | − | 0.0288546i | ||||
\(218\) | 10.6547 | − | 14.6649i | 0.721624 | − | 0.993231i | ||||
\(219\) | −9.09809 | + | 2.33599i | −0.614792 | + | 0.157852i | ||||
\(220\) | −0.680352 | − | 2.17914i | −0.0458693 | − | 0.146917i | ||||
\(221\) | 0.00648969 | + | 0.103151i | 0.000436544 | + | 0.00693866i | ||||
\(222\) | −2.51320 | + | 0.158117i | −0.168675 | + | 0.0106121i | ||||
\(223\) | −1.33474 | − | 2.42789i | −0.0893810 | − | 0.162584i | 0.827837 | − | 0.560968i | \(-0.189571\pi\) |
−0.917218 | + | 0.398385i | \(0.869571\pi\) | |||||||
\(224\) | −0.598736 | + | 1.84272i | −0.0400047 | + | 0.123122i | ||||
\(225\) | −8.40803 | − | 3.55550i | −0.560536 | − | 0.237034i | ||||
\(226\) | 2.48330 | + | 7.64280i | 0.165186 | + | 0.508392i | ||||
\(227\) | −10.4918 | + | 11.1726i | −0.696366 | + | 0.741555i | −0.975813 | − | 0.218606i | \(-0.929849\pi\) |
0.279447 | + | 0.960161i | \(0.409849\pi\) | |||||||
\(228\) | 0.0157080 | − | 0.0611786i | 0.00104029 | − | 0.00405165i | ||||
\(229\) | −3.04205 | + | 4.79350i | −0.201024 | + | 0.316763i | −0.929852 | − | 0.367933i | \(-0.880065\pi\) |
0.728828 | + | 0.684697i | \(0.240065\pi\) | |||||||
\(230\) | 5.38941 | − | 26.5824i | 0.355367 | − | 1.75279i | ||||
\(231\) | 3.32120 | − | 4.01465i | 0.218519 | − | 0.264144i | ||||
\(232\) | 19.7672 | + | 6.42276i | 1.29778 | + | 0.421675i | ||||
\(233\) | −5.25512 | − | 20.4673i | −0.344274 | − | 1.34086i | −0.871191 | − | 0.490943i | \(-0.836652\pi\) |
0.526917 | − | 0.849917i | \(-0.323348\pi\) | |||||||
\(234\) | −12.7618 | − | 7.01584i | −0.834263 | − | 0.458640i | ||||
\(235\) | −6.15027 | + | 10.8878i | −0.401199 | + | 0.710245i | ||||
\(236\) | −0.244796 | − | 1.28326i | −0.0159348 | − | 0.0835334i | ||||
\(237\) | 9.28473 | + | 1.77116i | 0.603108 | + | 0.115049i | ||||
\(238\) | 0.0258450 | − | 0.0121618i | 0.00167529 | − | 0.000788329i | ||||
\(239\) | −6.77972 | − | 0.856478i | −0.438544 | − | 0.0554010i | −0.0970381 | − | 0.995281i | \(-0.530937\pi\) |
−0.341506 | + | 0.939880i | \(0.610937\pi\) | |||||||
\(240\) | −6.25982 | − | 5.30140i | −0.404070 | − | 0.342204i | ||||
\(241\) | −3.26884 | + | 17.1359i | −0.210565 | + | 1.10382i | 0.707296 | + | 0.706917i | \(0.249915\pi\) |
−0.917861 | + | 0.396902i | \(0.870085\pi\) | |||||||
\(242\) | 1.56312 | − | 3.94798i | 0.100481 | − | 0.253786i | ||||
\(243\) | −14.7251 | + | 4.78446i | −0.944613 | + | 0.306923i | ||||
\(244\) | −0.434304 | − | 0.684354i | −0.0278035 | − | 0.0438113i | ||||
\(245\) | −11.6063 | − | 3.12316i | −0.741502 | − | 0.199532i | ||||
\(246\) | −15.0016 | − | 3.85176i | −0.956469 | − | 0.245580i | ||||
\(247\) | −1.00652 | + | 0.832666i | −0.0640433 | + | 0.0529813i | ||||
\(248\) | −0.232901 | + | 1.84360i | −0.0147892 | + | 0.117069i | ||||
\(249\) | −4.76257 | −0.301816 | ||||||||
\(250\) | 4.93613 | + | 13.8493i | 0.312188 | + | 0.875907i | ||||
\(251\) | −24.7630 | −1.56303 | −0.781515 | − | 0.623887i | \(-0.785553\pi\) | ||||
−0.781515 | + | 0.623887i | \(0.785553\pi\) | |||||||
\(252\) | 0.0789463 | − | 0.624924i | 0.00497315 | − | 0.0393665i | ||||
\(253\) | −26.8090 | + | 22.1783i | −1.68547 | + | 1.39434i | ||||
\(254\) | −13.0936 | − | 3.36187i | −0.821567 | − | 0.210942i | ||||
\(255\) | −0.00211694 | − | 0.0412337i | −0.000132568 | − | 0.00258216i | ||||
\(256\) | −3.41393 | − | 5.37949i | −0.213370 | − | 0.336218i | ||||
\(257\) | −3.95628 | + | 1.28547i | −0.246786 | + | 0.0801856i | −0.429798 | − | 0.902925i | \(-0.641415\pi\) |
0.183012 | + | 0.983111i | \(0.441415\pi\) | |||||||
\(258\) | −1.50289 | + | 3.79586i | −0.0935657 | + | 0.236320i | ||||
\(259\) | −0.422086 | + | 2.21265i | −0.0262272 | + | 0.137488i | ||||
\(260\) | −0.871814 | − | 3.56578i | −0.0540676 | − | 0.221140i | ||||
\(261\) | −12.6083 | − | 1.59280i | −0.780436 | − | 0.0985920i | ||||
\(262\) | 0.513770 | − | 0.241762i | 0.0317408 | − | 0.0149361i | ||||
\(263\) | 2.41082 | + | 0.459889i | 0.148658 | + | 0.0283580i | 0.261173 | − | 0.965292i | \(-0.415891\pi\) |
−0.112515 | + | 0.993650i | \(0.535891\pi\) | |||||||
\(264\) | 2.28707 | + | 11.9892i | 0.140759 | + | 0.737886i | ||||
\(265\) | 1.74725 | + | 15.2432i | 0.107333 | + | 0.936381i | ||||
\(266\) | 0.316359 | + | 0.173920i | 0.0193972 | + | 0.0106637i | ||||
\(267\) | 0.832855 | + | 3.24375i | 0.0509699 | + | 0.198515i | ||||
\(268\) | 1.18754 | + | 0.385854i | 0.0725404 | + | 0.0235698i | ||||
\(269\) | −7.23651 | + | 8.74743i | −0.441218 | + | 0.533340i | −0.943504 | − | 0.331361i | \(-0.892492\pi\) |
0.502287 | + | 0.864701i | \(0.332492\pi\) | |||||||
\(270\) | 13.3885 | + | 7.56284i | 0.814799 | + | 0.460260i | ||||
\(271\) | 12.6075 | − | 19.8663i | 0.765852 | − | 1.20679i | −0.207671 | − | 0.978199i | \(-0.566588\pi\) |
0.973523 | − | 0.228591i | \(-0.0734118\pi\) | |||||||
\(272\) | −0.0143462 | + | 0.0558749i | −0.000869868 | + | 0.00338791i | ||||
\(273\) | 5.73522 | − | 6.10739i | 0.347111 | − | 0.369636i | ||||
\(274\) | 0.248821 | + | 0.765793i | 0.0150318 | + | 0.0462633i | ||||
\(275\) | 6.24055 | − | 17.7983i | 0.376319 | − | 1.07328i | ||||
\(276\) | 0.835955 | − | 2.57281i | 0.0503186 | − | 0.154865i | ||||
\(277\) | 12.3816 | + | 22.5221i | 0.743940 | + | 1.35322i | 0.928846 | + | 0.370465i | \(0.120802\pi\) |
−0.184906 | + | 0.982756i | \(0.559198\pi\) | |||||||
\(278\) | 3.75467 | − | 0.236224i | 0.225190 | − | 0.0141678i | ||||
\(279\) | −0.0713438 | − | 1.13398i | −0.00427124 | − | 0.0678894i | ||||
\(280\) | −6.94284 | + | 4.92290i | −0.414914 | + | 0.294199i | ||||
\(281\) | 27.9124 | − | 7.16670i | 1.66512 | − | 0.427529i | 0.705470 | − | 0.708740i | \(-0.250736\pi\) |
0.959646 | + | 0.281210i | \(0.0907359\pi\) | |||||||
\(282\) | 4.68412 | − | 6.44714i | 0.278935 | − | 0.383921i | ||||
\(283\) | −8.02786 | + | 5.09464i | −0.477207 | + | 0.302845i | −0.752589 | − | 0.658490i | \(-0.771195\pi\) |
0.275383 | + | 0.961335i | \(0.411195\pi\) | |||||||
\(284\) | 2.76728 | − | 0.349589i | 0.164208 | − | 0.0207443i | ||||
\(285\) | 0.405895 | − | 0.327972i | 0.0240431 | − | 0.0194274i | ||||
\(286\) | 12.8108 | − | 27.2244i | 0.757520 | − | 1.60981i | ||||
\(287\) | −6.67447 | + | 12.1408i | −0.393981 | + | 0.716649i | ||||
\(288\) | 1.89976 | + | 2.02303i | 0.111944 | + | 0.119208i | ||||
\(289\) | 14.8970 | − | 8.18967i | 0.876292 | − | 0.481745i | ||||
\(290\) | 11.8389 | + | 16.6966i | 0.695205 | + | 0.980458i | ||||
\(291\) | −7.68998 | + | 7.22137i | −0.450795 | + | 0.423324i | ||||
\(292\) | −1.80771 | − | 1.49547i | −0.105788 | − | 0.0875158i | ||||
\(293\) | 16.9423 | + | 23.3191i | 0.989781 | + | 1.36232i | 0.931390 | + | 0.364023i | \(0.118597\pi\) |
0.0583912 | + | 0.998294i | \(0.481403\pi\) | |||||||
\(294\) | 7.12173 | + | 2.81969i | 0.415348 | + | 0.164448i | ||||
\(295\) | 4.70790 | − | 9.71234i | 0.274104 | − | 0.565474i | ||||
\(296\) | −3.36348 | − | 4.06575i | −0.195498 | − | 0.236317i | ||||
\(297\) | −7.26144 | − | 18.3403i | −0.421352 | − | 1.06421i | ||||
\(298\) | −18.3557 | + | 3.50154i | −1.06332 | + | 0.202839i | ||||
\(299\) | −45.2624 | + | 32.8851i | −2.61759 | + | 1.90179i | ||||
\(300\) | 0.331815 | + | 1.42838i | 0.0191573 | + | 0.0824675i | ||||
\(301\) | 2.95447 | + | 2.14655i | 0.170293 | + | 0.123725i | ||||
\(302\) | −9.45879 | − | 4.45097i | −0.544292 | − | 0.256124i | ||||
\(303\) | 14.3263 | + | 9.09172i | 0.823022 | + | 0.522306i | ||||
\(304\) | −0.677908 | + | 0.268403i | −0.0388807 | + | 0.0153940i | ||||
\(305\) | 0.497547 | − | 6.67793i | 0.0284895 | − | 0.382377i | ||||
\(306\) | 0.00256890 | − | 0.0408315i | 0.000146854 | − | 0.00233418i | ||||
\(307\) | 22.6868i | 1.29480i | 0.762150 | + | 0.647401i | \(0.224144\pi\) | ||||
−0.762150 | + | 0.647401i | \(0.775856\pi\) | |||||||
\(308\) | 1.29881 | + | 0.0817141i | 0.0740065 | + | 0.00465609i | ||||
\(309\) | 1.50402 | + | 3.19621i | 0.0855610 | + | 0.181826i | ||||
\(310\) | −1.26800 | + | 1.31944i | −0.0720173 | + | 0.0749391i | ||||
\(311\) | 13.3524 | + | 12.5388i | 0.757147 | + | 0.711009i | 0.963571 | − | 0.267454i | \(-0.0861824\pi\) |
−0.206423 | + | 0.978463i | \(0.566182\pi\) | |||||||
\(312\) | 2.45979 | + | 19.4713i | 0.139258 | + | 1.10234i | ||||
\(313\) | 1.47591 | + | 11.6830i | 0.0834235 | + | 0.660365i | 0.977271 | + | 0.211994i | \(0.0679957\pi\) |
−0.893848 | + | 0.448371i | \(0.852004\pi\) | |||||||
\(314\) | 9.02491 | + | 8.47495i | 0.509305 | + | 0.478269i | ||||
\(315\) | 3.60593 | − | 3.75222i | 0.203171 | − | 0.211414i | ||||
\(316\) | 1.00520 | + | 2.13615i | 0.0565468 | + | 0.120168i | ||||
\(317\) | 2.87575 | + | 0.180927i | 0.161518 | + | 0.0101619i | 0.143344 | − | 0.989673i | \(-0.454215\pi\) |
0.0181744 | + | 0.999835i | \(0.494215\pi\) | |||||||
\(318\) | − | 9.77780i | − | 0.548312i | ||||||
\(319\) | 1.64865 | − | 26.2045i | 0.0923065 | − | 1.46717i | ||||
\(320\) | 1.45701 | − | 19.5556i | 0.0814496 | − | 1.09319i | ||||
\(321\) | −18.7839 | + | 7.43709i | −1.04842 | + | 0.415098i | ||||
\(322\) | 13.0549 | + | 8.28489i | 0.727521 | + | 0.461699i | ||||
\(323\) | −0.00332052 | − | 0.00156252i | −0.000184759 | − | 8.69409e-5i | ||||
\(324\) | 0.0414274 | + | 0.0300988i | 0.00230152 | + | 0.00167215i | ||||
\(325\) | 11.8119 | − | 27.9326i | 0.655205 | − | 1.54942i | ||||
\(326\) | 6.19349 | − | 4.49983i | 0.343026 | − | 0.249223i | ||||
\(327\) | 14.6721 | − | 2.79886i | 0.811371 | − | 0.154777i | ||||
\(328\) | −11.9474 | − | 30.1756i | −0.659682 | − | 1.66617i | ||||
\(329\) | −4.54389 | − | 5.49262i | −0.250513 | − | 0.302818i | ||||
\(330\) | −5.24279 | + | 10.8158i | −0.288606 | + | 0.595391i | ||||
\(331\) | −23.8599 | − | 9.44678i | −1.31146 | − | 0.519242i | −0.394744 | − | 0.918791i | \(-0.629167\pi\) |
−0.916712 | + | 0.399549i | \(0.869167\pi\) | |||||||
\(332\) | −0.699191 | − | 0.962354i | −0.0383731 | − | 0.0528160i | ||||
\(333\) | 2.48598 | + | 2.05658i | 0.136231 | + | 0.112700i | ||||
\(334\) | −4.69476 | + | 4.40867i | −0.256886 | + | 0.241232i | ||||
\(335\) | 5.96696 | + | 8.41529i | 0.326010 | + | 0.459776i | ||||
\(336\) | 4.09782 | − | 2.25280i | 0.223555 | − | 0.122900i | ||||
\(337\) | 3.51254 | + | 3.74047i | 0.191340 | + | 0.203757i | 0.817485 | − | 0.575951i | \(-0.195368\pi\) |
−0.626144 | + | 0.779707i | \(0.715368\pi\) | |||||||
\(338\) | 15.0717 | − | 27.4154i | 0.819794 | − | 1.49120i | ||||
\(339\) | −2.81945 | + | 5.99164i | −0.153132 | + | 0.325421i | ||||
\(340\) | 0.00802116 | − | 0.00648127i | 0.000435008 | − | 0.000351496i | ||||
\(341\) | 2.32896 | − | 0.294216i | 0.126120 | − | 0.0159327i | ||||
\(342\) | 0.436593 | − | 0.277071i | 0.0236083 | − | 0.0149823i | ||||
\(343\) | 9.27204 | − | 12.7619i | 0.500643 | − | 0.689076i | ||||
\(344\) | −8.28598 | + | 2.12748i | −0.446750 | + | 0.114706i | ||||
\(345\) | 18.2318 | − | 12.9274i | 0.981565 | − | 0.695990i | ||||
\(346\) | 0.0823977 | + | 1.30967i | 0.00442973 | + | 0.0704085i | ||||
\(347\) | 21.1426 | − | 1.33018i | 1.13499 | − | 0.0714078i | 0.515845 | − | 0.856682i | \(-0.327478\pi\) |
0.619148 | + | 0.785274i | \(0.287478\pi\) | |||||||
\(348\) | 0.983465 | + | 1.78892i | 0.0527193 | + | 0.0958960i | ||||
\(349\) | 1.29748 | − | 3.99324i | 0.0694527 | − | 0.213753i | −0.910306 | − | 0.413936i | \(-0.864154\pi\) |
0.979759 | + | 0.200183i | \(0.0641536\pi\) | |||||||
\(350\) | −8.37919 | − | 0.193375i | −0.447886 | − | 0.0103363i | ||||
\(351\) | −9.80145 | − | 30.1658i | −0.523163 | − | 1.61013i | ||||
\(352\) | −3.92496 | + | 4.17966i | −0.209201 | + | 0.222777i | ||||
\(353\) | 3.00670 | − | 11.7103i | 0.160031 | − | 0.623278i | −0.837064 | − | 0.547105i | \(-0.815730\pi\) |
0.997095 | − | 0.0761733i | \(-0.0242702\pi\) | |||||||
\(354\) | −3.68559 | + | 5.80756i | −0.195887 | + | 0.308668i | ||||
\(355\) | 20.0645 | + | 11.3340i | 1.06491 | + | 0.601544i | ||||
\(356\) | −0.533182 | + | 0.644506i | −0.0282586 | + | 0.0341588i | ||||
\(357\) | 0.0223847 | + | 0.00727324i | 0.00118473 | + | 0.000384941i | ||||
\(358\) | −8.64827 | − | 33.6828i | −0.457075 | − | 1.78019i | ||||
\(359\) | 2.06317 | + | 1.13424i | 0.108890 | + | 0.0598628i | 0.535268 | − | 0.844682i | \(-0.320211\pi\) |
−0.426378 | + | 0.904545i | \(0.640211\pi\) | |||||||
\(360\) | 1.38825 | + | 12.1113i | 0.0731674 | + | 0.638321i | ||||
\(361\) | 3.55155 | + | 18.6179i | 0.186924 | + | 0.979889i | ||||
\(362\) | −15.3637 | − | 2.93078i | −0.807497 | − | 0.154038i | ||||
\(363\) | 3.16589 | − | 1.48976i | 0.166166 | − | 0.0781919i | ||||
\(364\) | 2.07608 | + | 0.262270i | 0.108816 | + | 0.0137467i | ||||
\(365\) | −4.60347 | − | 18.8285i | −0.240957 | − | 0.985529i | ||||
\(366\) | −0.799653 | + | 4.19193i | −0.0417985 | + | 0.219115i | ||||
\(367\) | −8.48109 | + | 21.4208i | −0.442709 | + | 1.11816i | 0.521556 | + | 0.853217i | \(0.325352\pi\) |
−0.964265 | + | 0.264939i | \(0.914648\pi\) | |||||||
\(368\) | −29.6986 | + | 9.64967i | −1.54815 | + | 0.503024i | ||||
\(369\) | 10.6330 | + | 16.7550i | 0.553534 | + | 0.872231i | ||||
\(370\) | −0.266427 | − | 5.18947i | −0.0138509 | − | 0.269788i | ||||
\(371\) | −8.47165 | − | 2.17515i | −0.439826 | − | 0.112928i | ||||
\(372\) | −0.140631 | + | 0.116340i | −0.00729136 | + | 0.00603194i | ||||
\(373\) | −1.57768 | + | 12.4887i | −0.0816894 | + | 0.646638i | 0.897109 | + | 0.441810i | \(0.145663\pi\) |
−0.978798 | + | 0.204828i | \(0.934337\pi\) | |||||||
\(374\) | 0.0845262 | 0.00437074 | ||||||||
\(375\) | −4.84702 | + | 11.1033i | −0.250299 | + | 0.573374i | ||||
\(376\) | 16.6988 | 0.861174 | ||||||||
\(377\) | 5.29151 | − | 41.8866i | 0.272527 | − | 2.15727i | ||||
\(378\) | −6.75414 | + | 5.58751i | −0.347395 | + | 0.287391i | ||||
\(379\) | −33.9763 | − | 8.72364i | −1.74525 | − | 0.448103i | −0.764699 | − | 0.644387i | \(-0.777113\pi\) |
−0.980547 | + | 0.196284i | \(0.937113\pi\) | |||||||
\(380\) | 0.125861 | + | 0.0338682i | 0.00645655 | + | 0.00173740i | ||||
\(381\) | −5.96872 | − | 9.40519i | −0.305787 | − | 0.481843i | ||||
\(382\) | −12.0028 | + | 3.89993i | −0.614115 | + | 0.199538i | ||||
\(383\) | 3.36007 | − | 8.48656i | 0.171691 | − | 0.433643i | −0.818296 | − | 0.574797i | \(-0.805081\pi\) |
0.989988 | + | 0.141154i | \(0.0450812\pi\) | |||||||
\(384\) | −1.72442 | + | 9.03975i | −0.0879991 | + | 0.461308i | ||||
\(385\) | 8.20471 | + | 6.94851i | 0.418151 | + | 0.354129i | ||||
\(386\) | −2.77358 | − | 0.350385i | −0.141172 | − | 0.0178341i | ||||
\(387\) | 4.73292 | − | 2.22714i | 0.240588 | − | 0.113212i | ||||
\(388\) | −2.58816 | − | 0.493718i | −0.131394 | − | 0.0250647i | ||||
\(389\) | −3.17698 | − | 16.6543i | −0.161079 | − | 0.844408i | −0.967463 | − | 0.253014i | \(-0.918578\pi\) |
0.806383 | − | 0.591393i | \(-0.201422\pi\) | |||||||
\(390\) | −9.50568 | + | 16.8279i | −0.481339 | + | 0.852115i | ||||
\(391\) | −0.137732 | − | 0.0757188i | −0.00696541 | − | 0.00382926i | ||||
\(392\) | 3.99154 | + | 15.5460i | 0.201603 | + | 0.785193i | ||||
\(393\) | 0.444983 | + | 0.144584i | 0.0224464 | + | 0.00729329i | ||||
\(394\) | −10.9595 | + | 13.2477i | −0.552131 | + | 0.667411i | ||||
\(395\) | −3.87562 | + | 19.1158i | −0.195004 | + | 0.961822i | ||||
\(396\) | 0.998779 | − | 1.57382i | 0.0501905 | − | 0.0790876i | ||||
\(397\) | 7.56209 | − | 29.4524i | 0.379530 | − | 1.47817i | −0.436258 | − | 0.899822i | \(-0.643696\pi\) |
0.815788 | − | 0.578351i | \(-0.196304\pi\) | |||||||
\(398\) | 7.07145 | − | 7.53033i | 0.354460 | − | 0.377461i | ||||
\(399\) | 0.0919264 | + | 0.282920i | 0.00460208 | + | 0.0141637i | ||||
\(400\) | 11.0879 | − | 12.7902i | 0.554393 | − | 0.639512i | ||||
\(401\) | 5.03124 | − | 15.4846i | 0.251248 | − | 0.773262i | −0.743298 | − | 0.668961i | \(-0.766739\pi\) |
0.994546 | − | 0.104301i | \(-0.0332606\pi\) | |||||||
\(402\) | −3.16717 | − | 5.76106i | −0.157964 | − | 0.287336i | ||||
\(403\) | 3.76723 | − | 0.237014i | 0.187659 | − | 0.0118065i | ||||
\(404\) | 0.266104 | + | 4.22961i | 0.0132392 | + | 0.210431i | ||||
\(405\) | 0.126083 | + | 0.403837i | 0.00626510 | + | 0.0200668i | ||||
\(406\) | −11.3014 | + | 2.90171i | −0.560879 | + | 0.144009i | ||||
\(407\) | −3.91808 | + | 5.39277i | −0.194212 | + | 0.267310i | ||||
\(408\) | −0.0465524 | + | 0.0295431i | −0.00230469 | + | 0.00146260i | ||||
\(409\) | 23.1477 | − | 2.92424i | 1.14458 | − | 0.144594i | 0.469911 | − | 0.882714i | \(-0.344286\pi\) |
0.674670 | + | 0.738120i | \(0.264286\pi\) | |||||||
\(410\) | 8.30482 | − | 30.8625i | 0.410146 | − | 1.52419i | ||||
\(411\) | −0.282503 | + | 0.600350i | −0.0139349 | + | 0.0296131i | ||||
\(412\) | −0.425042 | + | 0.773148i | −0.0209403 | + | 0.0380903i | ||||
\(413\) | 4.21188 | + | 4.48520i | 0.207253 | + | 0.220702i | ||||
\(414\) | 19.4071 | − | 10.6691i | 0.953805 | − | 0.524359i | ||||
\(415\) | 0.113379 | − | 9.82703i | 0.00556556 | − | 0.482390i | ||||
\(416\) | −6.72080 | + | 6.31125i | −0.329514 | + | 0.309435i | ||||
\(417\) | 2.38860 | + | 1.97602i | 0.116970 | + | 0.0967662i | ||||
\(418\) | 0.627946 | + | 0.864294i | 0.0307138 | + | 0.0422740i | ||||
\(419\) | −1.30232 | − | 0.515623i | −0.0636223 | − | 0.0251899i | 0.336098 | − | 0.941827i | \(-0.390893\pi\) |
−0.399720 | + | 0.916637i | \(0.630893\pi\) | |||||||
\(420\) | −0.828089 | − | 0.114333i | −0.0404066 | − | 0.00557886i | ||||
\(421\) | 12.3514 | + | 14.9303i | 0.601972 | + | 0.727660i | 0.980191 | − | 0.198057i | \(-0.0634631\pi\) |
−0.378218 | + | 0.925717i | \(0.623463\pi\) | |||||||
\(422\) | 9.91601 | + | 25.0450i | 0.482704 | + | 1.21917i | ||||
\(423\) | −10.0295 | + | 1.91323i | −0.487651 | + | 0.0930245i | ||||
\(424\) | 16.5758 | − | 12.0430i | 0.804992 | − | 0.584861i | ||||
\(425\) | 0.0851316 | − | 0.00338644i | 0.00412949 | − | 0.000164267i | ||||
\(426\) | −11.8810 | − | 8.63207i | −0.575638 | − | 0.418225i | ||||
\(427\) | 3.45407 | + | 1.62536i | 0.167154 | + | 0.0786567i | ||||
\(428\) | −4.26045 | − | 2.70376i | −0.205937 | − | 0.130691i | ||||
\(429\) | 23.0518 | − | 9.12686i | 1.11295 | − | 0.440649i | ||||
\(430\) | −7.79656 | − | 3.19141i | −0.375983 | − | 0.153903i | ||||
\(431\) | −1.24983 | + | 19.8655i | −0.0602021 | + | 0.956886i | 0.845770 | + | 0.533548i | \(0.179142\pi\) |
−0.905972 | + | 0.423338i | \(0.860858\pi\) | |||||||
\(432\) | − | 17.7035i | − | 0.851758i | ||||||
\(433\) | 18.4558 | + | 1.16114i | 0.886927 | + | 0.0558007i | 0.499715 | − | 0.866190i | \(-0.333438\pi\) |
0.387212 | + | 0.921991i | \(0.373438\pi\) | |||||||
\(434\) | −0.444167 | − | 0.943902i | −0.0213207 | − | 0.0453088i | ||||
\(435\) | −2.30675 | + | 16.7073i | −0.110600 | + | 0.801056i | ||||
\(436\) | 2.71957 | + | 2.55384i | 0.130244 | + | 0.122307i | ||||
\(437\) | −0.248976 | − | 1.97085i | −0.0119101 | − | 0.0942785i | ||||
\(438\) | 1.54818 | + | 12.2551i | 0.0739748 | + | 0.585571i | ||||
\(439\) | −13.8151 | − | 12.9733i | −0.659361 | − | 0.619181i | 0.280859 | − | 0.959749i | \(-0.409381\pi\) |
−0.940220 | + | 0.340568i | \(0.889381\pi\) | |||||||
\(440\) | −24.7929 | + | 4.43369i | −1.18195 | + | 0.211368i | ||||
\(441\) | −4.17853 | − | 8.87983i | −0.198978 | − | 0.422849i | ||||
\(442\) | 0.135648 | + | 0.00853424i | 0.00645211 | + | 0.000405933i | ||||
\(443\) | 15.3167i | 0.727719i | 0.931454 | + | 0.363859i | \(0.118541\pi\) | ||||
−0.931454 | + | 0.363859i | \(0.881459\pi\) | |||||||
\(444\) | 0.0325423 | − | 0.517246i | 0.00154439 | − | 0.0245474i | ||||
\(445\) | −6.71295 | + | 1.64128i | −0.318225 | + | 0.0778042i | ||||
\(446\) | −3.38760 | + | 1.34125i | −0.160408 | + | 0.0635099i | ||||
\(447\) | −13.0010 | − | 8.25070i | −0.614927 | − | 0.390245i | ||||
\(448\) | 10.1149 | + | 4.75969i | 0.477883 | + | 0.224874i | ||||
\(449\) | 20.9219 | + | 15.2006i | 0.987363 | + | 0.717361i | 0.959342 | − | 0.282246i | \(-0.0910794\pi\) |
0.0280212 | + | 0.999607i | \(0.491079\pi\) | |||||||
\(450\) | −6.02459 | + | 10.3838i | −0.284002 | + | 0.489495i | ||||
\(451\) | −33.1687 | + | 24.0985i | −1.56185 | + | 1.13475i | ||||
\(452\) | −1.62463 | + | 0.309915i | −0.0764162 | + | 0.0145772i | ||||
\(453\) | −3.17102 | − | 8.00908i | −0.148987 | − | 0.376299i | ||||
\(454\) | 12.8474 | + | 15.5299i | 0.602961 | + | 0.728854i | ||||
\(455\) | 12.4654 | + | 11.9794i | 0.584386 | + | 0.561602i | ||||
\(456\) | −0.647921 | − | 0.256530i | −0.0303417 | − | 0.0120131i | ||||
\(457\) | −3.61058 | − | 4.96953i | −0.168896 | − | 0.232465i | 0.716176 | − | 0.697920i | \(-0.245891\pi\) |
−0.885072 | + | 0.465455i | \(0.845891\pi\) | |||||||
\(458\) | 5.75258 | + | 4.75895i | 0.268801 | + | 0.222371i | ||||
\(459\) | 0.0649554 | − | 0.0609972i | 0.00303186 | − | 0.00284711i | ||||
\(460\) | 5.28880 | + | 1.78615i | 0.246591 | + | 0.0832797i | ||||
\(461\) | 24.8583 | − | 13.6660i | 1.15777 | − | 0.636487i | 0.217210 | − | 0.976125i | \(-0.430305\pi\) |
0.940556 | + | 0.339638i | \(0.110305\pi\) | |||||||
\(462\) | −4.69042 | − | 4.99479i | −0.218218 | − | 0.232379i | ||||
\(463\) | 19.4660 | − | 35.4086i | 0.904664 | − | 1.64558i | 0.150783 | − | 0.988567i | \(-0.451821\pi\) |
0.753881 | − | 0.657011i | \(-0.228179\pi\) | |||||||
\(464\) | 10.0334 | − | 21.3220i | 0.465789 | − | 0.989851i | ||||
\(465\) | −1.50592 | + | 0.0773139i | −0.0698355 | + | 0.00358535i | ||||
\(466\) | −27.5694 | + | 3.48283i | −1.27713 | + | 0.161339i | ||||
\(467\) | −5.25398 | + | 3.33428i | −0.243125 | + | 0.154292i | −0.651807 | − | 0.758385i | \(-0.725989\pi\) |
0.408681 | + | 0.912677i | \(0.365989\pi\) | |||||||
\(468\) | 1.76175 | − | 2.42484i | 0.0814368 | − | 0.112088i | ||||
\(469\) | −5.69604 | + | 1.46250i | −0.263019 | + | 0.0675318i | ||||
\(470\) | 13.1914 | + | 9.81864i | 0.608476 | + | 0.452900i | ||||
\(471\) | 0.640563 | + | 10.1815i | 0.0295156 | + | 0.469137i | ||||
\(472\) | −14.3847 | + | 0.905008i | −0.662109 | + | 0.0416564i | ||||
\(473\) | 5.20626 | + | 9.47016i | 0.239384 | + | 0.435438i | ||||
\(474\) | 3.84109 | − | 11.8217i | 0.176427 | − | 0.542987i | ||||
\(475\) | 0.667071 | + | 0.845327i | 0.0306073 | + | 0.0387862i | ||||
\(476\) | 0.00181662 | + | 0.00559098i | 8.32646e−5 | + | 0.000256262i | ||||
\(477\) | −8.57583 | + | 9.13234i | −0.392660 | + | 0.418141i | ||||
\(478\) | −2.23485 | + | 8.70418i | −0.102220 | + | 0.398120i | ||||
\(479\) | −22.4239 | + | 35.3344i | −1.02457 | + | 1.61447i | −0.264780 | + | 0.964309i | \(0.585299\pi\) |
−0.759795 | + | 0.650162i | \(0.774701\pi\) | |||||||
\(480\) | 2.71373 | − | 2.49007i | 0.123864 | − | 0.113656i | ||||
\(481\) | −6.83223 | + | 8.25875i | −0.311523 | + | 0.376567i | ||||
\(482\) | 21.8180 | + | 7.08911i | 0.993784 | + | 0.322900i | ||||
\(483\) | 3.16850 | + | 12.3405i | 0.144172 | + | 0.561512i | ||||
\(484\) | 0.765813 | + | 0.421009i | 0.0348097 | + | 0.0191368i | ||||
\(485\) | −14.7174 | − | 16.0393i | −0.668284 | − | 0.728309i | ||||
\(486\) | 3.81521 | + | 20.0000i | 0.173061 | + | 0.907219i | ||||
\(487\) | −7.12658 | − | 1.35947i | −0.322936 | − | 0.0616034i | 0.0233643 | − | 0.999727i | \(-0.492562\pi\) |
−0.346301 | + | 0.938124i | \(0.612562\pi\) | |||||||
\(488\) | −8.09126 | + | 3.80746i | −0.366274 | + | 0.172356i | ||||
\(489\) | 6.25855 | + | 0.790638i | 0.283021 | + | 0.0357539i | ||||
\(490\) | −5.98767 | + | 14.6278i | −0.270495 | + | 0.660816i | ||||
\(491\) | 3.83747 | − | 20.1167i | 0.173183 | − | 0.907855i | −0.784522 | − | 0.620101i | \(-0.787091\pi\) |
0.957704 | − | 0.287754i | \(-0.0929085\pi\) | |||||||
\(492\) | 1.17345 | − | 2.96381i | 0.0529034 | − | 0.133619i | ||||
\(493\) | 0.112802 | − | 0.0366517i | 0.00508036 | − | 0.00165071i | ||||
\(494\) | 0.920466 | + | 1.45042i | 0.0414137 | + | 0.0652576i | ||||
\(495\) | 14.3829 | − | 5.50353i | 0.646465 | − | 0.247365i | ||||
\(496\) | 2.04064 | + | 0.523947i | 0.0916275 | + | 0.0235259i | ||||
\(497\) | −10.1220 | + | 8.37365i | −0.454034 | + | 0.375610i | ||||
\(498\) | −0.784962 | + | 6.21362i | −0.0351750 | + | 0.278439i | ||||
\(499\) | −14.2353 | −0.637260 | −0.318630 | − | 0.947879i | \(-0.603223\pi\) | ||||
−0.318630 | + | 0.947879i | \(0.603223\pi\) | |||||||
\(500\) | −2.95520 | + | 0.650659i | −0.132160 | + | 0.0290983i | ||||
\(501\) | −5.30686 | −0.237093 | ||||||||
\(502\) | −4.08142 | + | 32.3078i | −0.182163 | + | 1.44197i | ||||
\(503\) | 23.3767 | − | 19.3389i | 1.04232 | − | 0.862280i | 0.0516617 | − | 0.998665i | \(-0.483548\pi\) |
0.990656 | + | 0.136384i | \(0.0435482\pi\) | |||||||
\(504\) | −6.73105 | − | 1.72824i | −0.299825 | − | 0.0769820i | ||||
\(505\) | −19.1008 | + | 29.3442i | −0.849975 | + | 1.30580i | ||||
\(506\) | 24.5169 | + | 38.6325i | 1.08991 | + | 1.71742i | ||||
\(507\) | 24.5176 | − | 7.96625i | 1.08887 | − | 0.353794i | ||||
\(508\) | 1.02421 | − | 2.58685i | 0.0454418 | − | 0.114773i | ||||
\(509\) | 0.888182 | − | 4.65601i | 0.0393680 | − | 0.206374i | −0.957168 | − | 0.289532i | \(-0.906500\pi\) |
0.996536 | + | 0.0831575i | \(0.0265005\pi\) | |||||||
\(510\) | −0.0541456 | − | 0.00403419i | −0.00239761 | − | 0.000178637i | ||||
\(511\) | 10.9624 | + | 1.38488i | 0.484949 | + | 0.0612633i | ||||
\(512\) | −22.9499 | + | 10.7994i | −1.01425 | + | 0.477271i | ||||
\(513\) | 1.10626 | + | 0.211031i | 0.0488426 | + | 0.00931723i | ||||
\(514\) | 1.02506 | + | 5.37354i | 0.0452134 | + | 0.237017i | ||||
\(515\) | −6.63084 | + | 3.02730i | −0.292190 | + | 0.133399i | ||||
\(516\) | −0.736305 | − | 0.404787i | −0.0324140 | − | 0.0178198i | ||||
\(517\) | −5.24610 | − | 20.4322i | −0.230723 | − | 0.898608i | ||||
\(518\) | 2.81723 | + | 0.915374i | 0.123782 | + | 0.0402192i | ||||
\(519\) | −0.689260 | + | 0.833172i | −0.0302552 | + | 0.0365722i | ||||
\(520\) | −40.2354 | + | 4.61197i | −1.76444 | + | 0.202248i | ||||
\(521\) | −17.3097 | + | 27.2758i | −0.758353 | + | 1.19497i | 0.217397 | + | 0.976083i | \(0.430243\pi\) |
−0.975750 | + | 0.218889i | \(0.929757\pi\) | |||||||
\(522\) | −4.15619 | + | 16.1873i | −0.181911 | + | 0.708498i | ||||
\(523\) | −2.73779 | + | 2.91546i | −0.119715 | + | 0.127484i | −0.786034 | − | 0.618183i | \(-0.787869\pi\) |
0.666319 | + | 0.745667i | \(0.267869\pi\) | |||||||
\(524\) | 0.0361124 | + | 0.111142i | 0.00157758 | + | 0.00485528i | ||||
\(525\) | −4.92413 | − | 4.84265i | −0.214906 | − | 0.211351i | ||||
\(526\) | 0.997356 | − | 3.06955i | 0.0434868 | − | 0.133839i | ||||
\(527\) | 0.00510861 | + | 0.00929254i | 0.000222535 | + | 0.000404789i | ||||
\(528\) | 13.8108 | − | 0.868901i | 0.601038 | − | 0.0378141i | ||||
\(529\) | −3.89806 | − | 61.9578i | −0.169481 | − | 2.69382i | ||||
\(530\) | 20.1754 | + | 0.232773i | 0.876364 | + | 0.0101110i | ||||
\(531\) | 8.53594 | − | 2.19166i | 0.370428 | − | 0.0951098i | ||||
\(532\) | −0.0436730 | + | 0.0601107i | −0.00189346 | + | 0.00260613i | ||||
\(533\) | −55.6624 | + | 35.3244i | −2.41101 | + | 1.53007i | ||||
\(534\) | 4.36932 | − | 0.551974i | 0.189079 | − | 0.0238862i | ||||
\(535\) | −14.8984 | − | 38.9356i | −0.644115 | − | 1.68333i | ||||
\(536\) | 5.86552 | − | 12.4649i | 0.253352 | − | 0.538400i | ||||
\(537\) | 13.8048 | − | 25.1108i | 0.595721 | − | 1.08361i | ||||
\(538\) | 10.2199 | + | 10.8830i | 0.440610 | + | 0.469202i | ||||
\(539\) | 17.7678 | − | 9.76791i | 0.765312 | − | 0.420734i | ||||
\(540\) | −1.88960 | + | 2.53870i | −0.0813156 | + | 0.109248i | ||||
\(541\) | 4.31234 | − | 4.04955i | 0.185402 | − | 0.174104i | −0.586289 | − | 0.810102i | \(-0.699412\pi\) |
0.771690 | + | 0.635998i | \(0.219412\pi\) | |||||||
\(542\) | −23.8411 | − | 19.7231i | −1.02406 | − | 0.847179i | ||||
\(543\) | −7.57547 | − | 10.4267i | −0.325094 | − | 0.447454i | ||||
\(544\) | −0.0240818 | − | 0.00953466i | −0.00103250 | − | 0.000408795i | ||||
\(545\) | 5.42584 | + | 30.3409i | 0.232418 | + | 1.29966i | ||||
\(546\) | −7.02290 | − | 8.48923i | −0.300552 | − | 0.363305i | ||||
\(547\) | −7.36339 | − | 18.5978i | −0.314836 | − | 0.795185i | −0.997897 | − | 0.0648234i | \(-0.979352\pi\) |
0.683061 | − | 0.730362i | \(-0.260648\pi\) | |||||||
\(548\) | −0.162785 | + | 0.0310528i | −0.00695382 | + | 0.00132651i | ||||
\(549\) | 4.42348 | − | 3.21385i | 0.188790 | − | 0.137164i | ||||
\(550\) | −22.1924 | − | 11.0754i | −0.946288 | − | 0.472257i | ||||
\(551\) | 1.21278 | + | 0.881136i | 0.0516662 | + | 0.0375377i | ||||
\(552\) | −27.0052 | − | 12.7077i | −1.14942 | − | 0.540874i | ||||
\(553\) | −9.38800 | − | 5.95781i | −0.399218 | − | 0.253352i | ||||
\(554\) | 31.4248 | − | 12.4420i | 1.33511 | − | 0.528608i | ||||
\(555\) | 2.76722 | − | 3.26749i | 0.117462 | − | 0.138697i | ||||
\(556\) | −0.0486176 | + | 0.772755i | −0.00206185 | + | 0.0327721i | ||||
\(557\) | 3.13554i | 0.132857i | 0.997791 | + | 0.0664285i | \(0.0211604\pi\) | ||||
−0.997791 | + | 0.0664285i | \(0.978840\pi\) | |||||||
\(558\) | −1.49123 | − | 0.0938204i | −0.0631289 | − | 0.00397173i | ||||
\(559\) | 7.39887 | + | 15.7234i | 0.312939 | + | 0.665029i | ||||
\(560\) | 4.55084 | + | 8.50903i | 0.192308 | + | 0.359572i | ||||
\(561\) | 0.0507731 | + | 0.0476791i | 0.00214364 | + | 0.00201301i | ||||
\(562\) | −4.74972 | − | 37.5979i | −0.200355 | − | 1.58597i | ||||
\(563\) | 4.61067 | + | 36.4972i | 0.194317 | + | 1.53817i | 0.723894 | + | 0.689912i | \(0.242351\pi\) |
−0.529577 | + | 0.848262i | \(0.677649\pi\) | |||||||
\(564\) | 1.19561 | + | 1.12275i | 0.0503441 | + | 0.0472762i | ||||
\(565\) | −12.2960 | − | 5.96026i | −0.517295 | − | 0.250750i | ||||
\(566\) | 5.32371 | + | 11.3135i | 0.223772 | + | 0.475540i | ||||
\(567\) | −0.240695 | − | 0.0151433i | −0.0101082 | − | 0.000635957i | ||||
\(568\) | − | 30.7731i | − | 1.29121i | ||||||
\(569\) | 0.570486 | − | 9.06761i | 0.0239160 | − | 0.380134i | −0.967803 | − | 0.251708i | \(-0.919008\pi\) |
0.991719 | − | 0.128426i | \(-0.0409924\pi\) | |||||||
\(570\) | −0.360998 | − | 0.583618i | −0.0151206 | − | 0.0244451i | ||||
\(571\) | 28.1239 | − | 11.1350i | 1.17695 | − | 0.465987i | 0.303465 | − | 0.952842i | \(-0.401856\pi\) |
0.873482 | + | 0.486856i | \(0.161856\pi\) | |||||||
\(572\) | 5.22846 | + | 3.31808i | 0.218613 | + | 0.138736i | ||||
\(573\) | −9.40967 | − | 4.42785i | −0.393094 | − | 0.184976i | ||||
\(574\) | 14.7398 | + | 10.7091i | 0.615226 | + | 0.446988i | ||||
\(575\) | 26.2403 | + | 37.9270i | 1.09430 | + | 1.58166i | ||||
\(576\) | 12.9537 | − | 9.41142i | 0.539738 | − | 0.392142i | ||||
\(577\) | 19.1170 | − | 3.64676i | 0.795851 | − | 0.151817i | 0.226608 | − | 0.973986i | \(-0.427236\pi\) |
0.569243 | + | 0.822169i | \(0.307236\pi\) | |||||||
\(578\) | −8.22958 | − | 20.7855i | −0.342305 | − | 0.864564i | ||||
\(579\) | −1.46839 | − | 1.77498i | −0.0610242 | − | 0.0737656i | ||||
\(580\) | −3.71464 | + | 1.98668i | −0.154242 | + | 0.0824925i | ||||
\(581\) | 5.20896 | + | 2.06237i | 0.216104 | + | 0.0855617i | ||||
\(582\) | 8.15411 | + | 11.2232i | 0.337999 | + | 0.465215i | ||||
\(583\) | −19.9430 | − | 16.4983i | −0.825955 | − | 0.683290i | ||||
\(584\) | −18.8686 | + | 17.7188i | −0.780787 | + | 0.733208i | ||||
\(585\) | 23.6375 | − | 7.37990i | 0.977289 | − | 0.305121i | ||||
\(586\) | 33.2163 | − | 18.2608i | 1.37215 | − | 0.754348i | ||||
\(587\) | −28.4883 | − | 30.3370i | −1.17584 | − | 1.25214i | −0.961324 | − | 0.275419i | \(-0.911183\pi\) |
−0.214513 | − | 0.976721i | \(-0.568817\pi\) | |||||||
\(588\) | −0.759455 | + | 1.38144i | −0.0313194 | + | 0.0569698i | ||||
\(589\) | −0.0570657 | + | 0.121271i | −0.00235135 | + | 0.00499688i | ||||
\(590\) | −11.8955 | − | 7.74306i | −0.489731 | − | 0.318777i | ||||
\(591\) | −14.0559 | + | 1.77567i | −0.578181 | + | 0.0730412i | ||||
\(592\) | −5.05121 | + | 3.20560i | −0.207603 | + | 0.131749i | ||||
\(593\) | −19.1735 | + | 26.3901i | −0.787363 | + | 1.08371i | 0.207068 | + | 0.978326i | \(0.433608\pi\) |
−0.994431 | + | 0.105386i | \(0.966392\pi\) | |||||||
\(594\) | −25.1250 | + | 6.45101i | −1.03089 | + | 0.264688i | ||||
\(595\) | −0.0155404 | + | 0.0460152i | −0.000637095 | + | 0.00188644i | ||||
\(596\) | −0.241489 | − | 3.83835i | −0.00989175 | − | 0.157225i | ||||
\(597\) | 8.49535 | − | 0.534482i | 0.347691 | − | 0.0218749i | ||||
\(598\) | 35.4443 | + | 64.4730i | 1.44943 | + | 2.63650i | ||||
\(599\) | −1.29644 | + | 3.99003i | −0.0529711 | + | 0.163028i | −0.974042 | − | 0.226366i | \(-0.927316\pi\) |
0.921071 | + | 0.389394i | \(0.127316\pi\) | |||||||
\(600\) | 16.0934 | − | 1.65683i | 0.657010 | − | 0.0676399i | ||||
\(601\) | 0.589765 | + | 1.81511i | 0.0240570 | + | 0.0740398i | 0.962364 | − | 0.271763i | \(-0.0876066\pi\) |
−0.938307 | + | 0.345803i | \(0.887607\pi\) | |||||||
\(602\) | 3.28750 | − | 3.50084i | 0.133989 | − | 0.142683i | ||||
\(603\) | −2.09477 | + | 8.15859i | −0.0853056 | + | 0.332243i | ||||
\(604\) | 1.15283 | − | 1.81657i | 0.0469079 | − | 0.0739150i | ||||
\(605\) | 2.99858 | + | 6.56793i | 0.121910 | + | 0.267024i | ||||
\(606\) | 14.2230 | − | 17.1927i | 0.577770 | − | 0.698404i | ||||
\(607\) | −21.4931 | − | 6.98352i | −0.872377 | − | 0.283452i | −0.161588 | − | 0.986858i | \(-0.551662\pi\) |
−0.710788 | + | 0.703406i | \(0.751662\pi\) | |||||||
\(608\) | −0.0814107 | − | 0.317074i | −0.00330164 | − | 0.0128590i | ||||
\(609\) | −8.42530 | − | 4.63185i | −0.341410 | − | 0.187692i | ||||
\(610\) | −8.63053 | − | 1.74979i | −0.349440 | − | 0.0708469i | ||||
\(611\) | −6.35602 | − | 33.3194i | −0.257137 | − | 1.34796i | ||||
\(612\) | 0.00827107 | + | 0.00157779i | 0.000334338 | + | 6.37784e-5i | ||||
\(613\) | 0.563300 | − | 0.265069i | 0.0227515 | − | 0.0107060i | −0.414370 | − | 0.910109i | \(-0.635998\pi\) |
0.437121 | + | 0.899403i | \(0.355998\pi\) | |||||||
\(614\) | 29.5989 | + | 3.73921i | 1.19451 | + | 0.150902i | ||||
\(615\) | 22.3973 | − | 13.8539i | 0.903147 | − | 0.558644i | ||||
\(616\) | 2.69036 | − | 14.1034i | 0.108398 | − | 0.568240i | ||||
\(617\) | −3.99597 | + | 10.0927i | −0.160872 | + | 0.406315i | −0.987746 | − | 0.156072i | \(-0.950117\pi\) |
0.826874 | + | 0.562387i | \(0.190117\pi\) | |||||||
\(618\) | 4.41792 | − | 1.43547i | 0.177715 | − | 0.0577430i | ||||
\(619\) | −16.7573 | − | 26.4053i | −0.673533 | − | 1.06132i | −0.993494 | − | 0.113888i | \(-0.963670\pi\) |
0.319960 | − | 0.947431i | \(-0.396330\pi\) | |||||||
\(620\) | −0.236706 | − | 0.292945i | −0.00950636 | − | 0.0117650i | ||||
\(621\) | 46.7190 | + | 11.9954i | 1.87477 | + | 0.481359i | ||||
\(622\) | 18.5598 | − | 15.3540i | 0.744180 | − | 0.615639i | ||||
\(623\) | 0.493752 | − | 3.90845i | 0.0197817 | − | 0.156589i | ||||
\(624\) | 22.2513 | 0.890767 | ||||||||
\(625\) | −22.7951 | − | 10.2656i | −0.911804 | − | 0.410625i | ||||
\(626\) | 15.4859 | 0.618940 | ||||||||
\(627\) | −0.110333 | + | 0.873372i | −0.00440626 | + | 0.0348791i | ||||
\(628\) | −1.96329 | + | 1.62417i | −0.0783437 | + | 0.0648115i | ||||
\(629\) | −0.0291655 | − | 0.00748843i | −0.00116291 | − | 0.000298583i | ||||
\(630\) | −4.30111 | − | 5.32301i | −0.171360 | − | 0.212074i | ||||
\(631\) | 11.4093 | + | 17.9781i | 0.454195 | + | 0.715697i | 0.991842 | − | 0.127473i | \(-0.0406865\pi\) |
−0.537647 | + | 0.843170i | \(0.680687\pi\) | |||||||
\(632\) | 24.7716 | − | 8.04877i | 0.985361 | − | 0.320163i | ||||
\(633\) | −8.17092 | + | 20.6374i | −0.324765 | + | 0.820262i | ||||
\(634\) | 0.710029 | − | 3.72210i | 0.0281988 | − | 0.147824i | ||||
\(635\) | 19.5487 | − | 12.0919i | 0.775765 | − | 0.479852i | ||||
\(636\) | 1.99652 | + | 0.252219i | 0.0791671 | + | 0.0100011i | ||||
\(637\) | 29.5000 | − | 13.8816i | 1.16883 | − | 0.550011i | ||||
\(638\) | −33.9167 | − | 6.46995i | −1.34277 | − | 0.256148i | ||||
\(639\) | 3.52577 | + | 18.4828i | 0.139477 | + | 0.731166i | ||||
\(640\) | −18.6115 | − | 3.77336i | −0.735683 | − | 0.149155i | ||||
\(641\) | −7.17378 | − | 3.94382i | −0.283347 | − | 0.155771i | 0.333742 | − | 0.942664i | \(-0.391688\pi\) |
−0.617090 | + | 0.786893i | \(0.711688\pi\) | |||||||
\(642\) | 6.60705 | + | 25.7328i | 0.260759 | + | 1.01559i | ||||
\(643\) | −30.7257 | − | 9.98337i | −1.21170 | − | 0.393706i | −0.367648 | − | 0.929965i | \(-0.619837\pi\) |
−0.844053 | + | 0.536259i | \(0.819837\pi\) | |||||||
\(644\) | −2.02843 | + | 2.45195i | −0.0799314 | + | 0.0966205i | ||||
\(645\) | −2.88304 | − | 6.31486i | −0.113519 | − | 0.248647i | ||||
\(646\) | −0.00258587 | + | 0.00407468i | −0.000101740 | + | 0.000160316i | ||||
\(647\) | 8.04195 | − | 31.3213i | 0.316162 | − | 1.23137i | −0.589640 | − | 0.807666i | \(-0.700730\pi\) |
0.905802 | − | 0.423702i | \(-0.139270\pi\) | |||||||
\(648\) | 0.386735 | − | 0.411831i | 0.0151924 | − | 0.0161783i | ||||
\(649\) | 5.62645 | + | 17.3164i | 0.220858 | + | 0.679730i | ||||
\(650\) | −34.4963 | − | 20.0145i | −1.35305 | − | 0.785034i | ||||
\(651\) | 0.265630 | − | 0.817526i | 0.0104109 | − | 0.0320414i | ||||
\(652\) | 0.759054 | + | 1.38071i | 0.0297268 | + | 0.0540729i | ||||
\(653\) | 38.7945 | − | 2.44074i | 1.51814 | − | 0.0955136i | 0.718306 | − | 0.695728i | \(-0.244918\pi\) |
0.799839 | + | 0.600214i | \(0.204918\pi\) | |||||||
\(654\) | −1.23336 | − | 19.6037i | −0.0482282 | − | 0.766565i | ||||
\(655\) | −0.308926 | + | 0.914732i | −0.0120707 | + | 0.0357415i | ||||
\(656\) | −35.6400 | + | 9.15080i | −1.39151 | + | 0.357279i | ||||
\(657\) | 9.30262 | − | 12.8040i | 0.362930 | − | 0.499530i | ||||
\(658\) | −7.91501 | + | 5.02302i | −0.308559 | + | 0.195818i | ||||
\(659\) | −12.1308 | + | 1.53248i | −0.472550 | + | 0.0596969i | −0.358002 | − | 0.933721i | \(-0.616542\pi\) |
−0.114548 | + | 0.993418i | \(0.536542\pi\) | |||||||
\(660\) | −2.07323 | − | 1.34951i | −0.0807004 | − | 0.0525297i | ||||
\(661\) | −12.3365 | + | 26.2163i | −0.479833 | + | 1.01970i | 0.507591 | + | 0.861598i | \(0.330536\pi\) |
−0.987423 | + | 0.158098i | \(0.949464\pi\) | |||||||
\(662\) | −16.2576 | + | 29.5724i | −0.631868 | + | 1.14936i | ||||
\(663\) | 0.0766669 | + | 0.0816420i | 0.00297750 | + | 0.00317071i | ||||
\(664\) | −11.5004 | + | 6.32242i | −0.446303 | + | 0.245357i | ||||
\(665\) | −0.585963 | + | 0.182945i | −0.0227227 | + | 0.00709429i | ||||
\(666\) | 3.09291 | − | 2.90443i | 0.119848 | − | 0.112544i | ||||
\(667\) | 49.4701 | + | 40.9252i | 1.91549 | + | 1.58463i | ||||
\(668\) | −0.779099 | − | 1.07234i | −0.0301443 | − | 0.0414900i | ||||
\(669\) | −2.79143 | − | 1.10520i | −0.107923 | − | 0.0427297i | ||||
\(670\) | 11.9627 | − | 6.39795i | 0.462160 | − | 0.247174i | ||||
\(671\) | 7.20067 | + | 8.70412i | 0.277979 | + | 0.336019i | ||||
\(672\) | 0.772899 | + | 1.95212i | 0.0298152 | + | 0.0753046i | ||||
\(673\) | 24.4074 | − | 4.65595i | 0.940835 | − | 0.179474i | 0.305921 | − | 0.952057i | \(-0.401036\pi\) |
0.634914 | + | 0.772583i | \(0.281036\pi\) | |||||||
\(674\) | 5.45904 | − | 3.96623i | 0.210275 | − | 0.152773i | ||||
\(675\) | −25.0465 | + | 7.50382i | −0.964041 | + | 0.288822i | ||||
\(676\) | 5.20913 | + | 3.78466i | 0.200351 | + | 0.145564i | ||||
\(677\) | 2.15944 | + | 1.01616i | 0.0829942 | + | 0.0390541i | 0.466828 | − | 0.884348i | \(-0.345397\pi\) |
−0.383834 | + | 0.923402i | \(0.625397\pi\) | |||||||
\(678\) | 7.35246 | + | 4.66601i | 0.282369 | + | 0.179197i | ||||
\(679\) | 11.5379 | − | 4.56817i | 0.442783 | − | 0.175310i | ||||
\(680\) | −0.0598506 | − | 0.0967590i | −0.00229516 | − | 0.00371054i | ||||
\(681\) | −1.04284 | + | 16.5754i | −0.0399616 | + | 0.635171i | ||||
\(682\) | − | 3.08703i | − | 0.118209i | ||||||
\(683\) | 28.4641 | + | 1.79081i | 1.08915 | + | 0.0685234i | 0.597193 | − | 0.802098i | \(-0.296283\pi\) |
0.491955 | + | 0.870621i | \(0.336283\pi\) | |||||||
\(684\) | 0.0453127 | + | 0.0962945i | 0.00173258 | + | 0.00368191i | ||||
\(685\) | −1.23203 | − | 0.597206i | −0.0470735 | − | 0.0228181i | ||||
\(686\) | −15.1219 | − | 14.2004i | −0.577358 | − | 0.542175i | ||||
\(687\) | 0.771051 | + | 6.10350i | 0.0294174 | + | 0.232863i | ||||
\(688\) | 1.21562 | + | 9.62261i | 0.0463450 | + | 0.366859i | ||||
\(689\) | −30.3389 | − | 28.4901i | −1.15582 | − | 1.08539i | ||||
\(690\) | −13.8612 | − | 25.9173i | −0.527687 | − | 0.986653i | ||||
\(691\) | −3.38597 | − | 7.19556i | −0.128808 | − | 0.273732i | 0.830012 | − | 0.557746i | \(-0.188334\pi\) |
−0.958820 | + | 0.284014i | \(0.908334\pi\) | |||||||
\(692\) | −0.269546 | − | 0.0169584i | −0.0102466 | − | 0.000644661i | ||||
\(693\) | 8.77890i | 0.333483i | ||||||||
\(694\) | 1.74925 | − | 27.8035i | 0.0664005 | − | 1.05541i | ||||
\(695\) | −4.13417 | + | 4.88157i | −0.156818 | + | 0.185168i | ||||
\(696\) | 20.9408 | − | 8.29105i | 0.793759 | − | 0.314271i | ||||
\(697\) | −0.156373 | − | 0.0992371i | −0.00592303 | − | 0.00375887i | ||||
\(698\) | −4.99605 | − | 2.35096i | −0.189103 | − | 0.0889852i | ||||
\(699\) | −18.5250 | − | 13.4592i | −0.700678 | − | 0.509073i | ||||
\(700\) | 0.255626 | − | 1.70595i | 0.00966177 | − | 0.0644787i | ||||
\(701\) | 15.7396 | − | 11.4355i | 0.594475 | − | 0.431912i | −0.249438 | − | 0.968391i | \(-0.580246\pi\) |
0.843914 | + | 0.536479i | \(0.180246\pi\) | |||||||
\(702\) | −40.9721 | + | 7.81584i | −1.54639 | + | 0.294990i | ||||
\(703\) | −0.140101 | − | 0.353854i | −0.00528400 | − | 0.0133459i | ||||
\(704\) | 21.0864 | + | 25.4891i | 0.794724 | + | 0.960656i | ||||
\(705\) | 2.38537 | + | 13.3388i | 0.0898382 | + | 0.502369i | ||||
\(706\) | −14.7827 | − | 5.85287i | −0.556352 | − | 0.220275i | ||||
\(707\) | −11.7320 | − | 16.1477i | −0.441227 | − | 0.607297i | ||||
\(708\) | −1.09077 | − | 0.902362i | −0.0409936 | − | 0.0339129i | ||||
\(709\) | −20.4123 | + | 19.1685i | −0.766602 | + | 0.719887i | −0.965577 | − | 0.260118i | \(-0.916239\pi\) |
0.198975 | + | 0.980005i | \(0.436239\pi\) | |||||||
\(710\) | 18.0942 | − | 24.3097i | 0.679062 | − | 0.912326i | ||||
\(711\) | −13.9560 | + | 7.67236i | −0.523389 | + | 0.287736i | ||||
\(712\) | 6.31729 | + | 6.72724i | 0.236751 | + | 0.252114i | ||||
\(713\) | −2.76537 | + | 5.03019i | −0.103564 | + | 0.188382i | ||||
\(714\) | 0.0131787 | − | 0.0280061i | 0.000493199 | − | 0.00104810i | ||||
\(715\) | 18.2835 | + | 47.7821i | 0.683763 | + | 1.78695i | ||||
\(716\) | 7.10073 | − | 0.897031i | 0.265367 | − | 0.0335236i | ||||
\(717\) | −6.25225 | + | 3.96780i | −0.233494 | + | 0.148180i | ||||
\(718\) | 1.81987 | − | 2.50483i | 0.0679168 | − | 0.0934794i | ||||
\(719\) | 9.37729 | − | 2.40768i | 0.349714 | − | 0.0897912i | −0.0697469 | − | 0.997565i | \(-0.522219\pi\) |
0.419461 | + | 0.907773i | \(0.362219\pi\) | |||||||
\(720\) | 13.8204 | + | 0.159452i | 0.515055 | + | 0.00594243i | ||||
\(721\) | −0.260913 | − | 4.14709i | −0.00971691 | − | 0.154446i | ||||
\(722\) | 24.8757 | − | 1.56505i | 0.925778 | − | 0.0582450i | ||||
\(723\) | 9.10685 | + | 16.5653i | 0.338687 | + | 0.616070i | ||||
\(724\) | 0.994739 | − | 3.06149i | 0.0369692 | − | 0.113779i | ||||
\(725\) | −34.4188 | − | 5.15746i | −1.27828 | − | 0.191543i | ||||
\(726\) | −1.42185 | − | 4.37601i | −0.0527699 | − | 0.162409i | ||||
\(727\) | −22.9396 | + | 24.4282i | −0.850782 | + | 0.905991i | −0.996522 | − | 0.0833319i | \(-0.973444\pi\) |
0.145740 | + | 0.989323i | \(0.453444\pi\) | |||||||
\(728\) | 5.74145 | − | 22.3615i | 0.212792 | − | 0.828772i | ||||
\(729\) | −9.29394 | + | 14.6449i | −0.344220 | + | 0.542404i | ||||
\(730\) | −25.3239 | + | 2.90274i | −0.937279 | + | 0.107435i | ||||
\(731\) | −0.0311177 | + | 0.0376149i | −0.00115093 | + | 0.00139124i | ||||
\(732\) | −0.835317 | − | 0.271411i | −0.0308742 | − | 0.0100316i | ||||
\(733\) | 0.243524 | + | 0.948462i | 0.00899475 | + | 0.0350322i | 0.972922 | − | 0.231133i | \(-0.0742433\pi\) |
−0.963927 | + | 0.266165i | \(0.914243\pi\) | |||||||
\(734\) | 26.5494 | + | 14.5956i | 0.979955 | + | 0.538735i | ||||
\(735\) | −11.8478 | + | 5.40911i | −0.437014 | + | 0.199518i | ||||
\(736\) | −2.62716 | − | 13.7721i | −0.0968386 | − | 0.507646i | ||||
\(737\) | −17.0944 | − | 3.26093i | −0.629681 | − | 0.120118i | ||||
\(738\) | 23.6124 | − | 11.1112i | 0.869184 | − | 0.409007i | ||||
\(739\) | −13.0596 | − | 1.64981i | −0.480403 | − | 0.0606891i | −0.118597 | − | 0.992942i | \(-0.537840\pi\) |
−0.361806 | + | 0.932253i | \(0.617840\pi\) | |||||||
\(740\) | 1.06650 | + | 0.0794612i | 0.0392055 | + | 0.00292105i | ||||
\(741\) | −0.265243 | + | 1.39045i | −0.00974394 | + | 0.0510795i | ||||
\(742\) | −4.23416 | + | 10.6943i | −0.155441 | + | 0.392599i | ||||
\(743\) | −36.2360 | + | 11.7738i | −1.32937 | + | 0.431938i | −0.885703 | − | 0.464253i | \(-0.846323\pi\) |
−0.443667 | + | 0.896192i | \(0.646323\pi\) | |||||||
\(744\) | 1.07896 | + | 1.70017i | 0.0395566 | + | 0.0623312i | ||||
\(745\) | 17.3339 | − | 26.6297i | 0.635065 | − | 0.975638i | ||||
\(746\) | 16.0336 | + | 4.11674i | 0.587033 | + | 0.150724i | ||||
\(747\) | 6.18293 | − | 5.11496i | 0.226222 | − | 0.187147i | ||||
\(748\) | −0.00218036 | + | 0.0172593i | −7.97217e−5 | + | 0.000631062i | ||||
\(749\) | 23.7651 | 0.868357 | ||||||||
\(750\) | 13.6874 | + | 8.15384i | 0.499793 | + | 0.297736i | ||||
\(751\) | 16.8293 | 0.614109 | 0.307055 | − | 0.951692i | \(-0.400657\pi\) | ||||
0.307055 | + | 0.951692i | \(0.400657\pi\) | |||||||
\(752\) | 2.37287 | − | 18.7832i | 0.0865298 | − | 0.684954i | ||||
\(753\) | −20.6756 | + | 17.1044i | −0.753462 | + | 0.623318i | ||||
\(754\) | −53.7764 | − | 13.8074i | −1.95842 | − | 0.502837i | ||||
\(755\) | 16.6013 | − | 6.35237i | 0.604184 | − | 0.231187i | ||||
\(756\) | −0.966683 | − | 1.52325i | −0.0351579 | − | 0.0554000i | ||||
\(757\) | −14.4407 | + | 4.69206i | −0.524855 | + | 0.170536i | −0.559448 | − | 0.828866i | \(-0.688987\pi\) |
0.0345923 | + | 0.999402i | \(0.488987\pi\) | |||||||
\(758\) | −16.9815 | + | 42.8903i | −0.616795 | + | 1.55785i | ||||
\(759\) | −7.06483 | + | 37.0351i | −0.256437 | + | 1.34429i | ||||
\(760\) | 0.544746 | − | 1.33081i | 0.0197600 | − | 0.0482734i | ||||
\(761\) | 10.7599 | + | 1.35930i | 0.390047 | + | 0.0492744i | 0.317911 | − | 0.948120i | \(-0.397019\pi\) |
0.0721358 | + | 0.997395i | \(0.477019\pi\) | |||||||
\(762\) | −13.2545 | + | 6.23710i | −0.480160 | + | 0.225946i | ||||
\(763\) | −17.2593 | − | 3.29240i | −0.624830 | − | 0.119193i | ||||
\(764\) | −0.486711 | − | 2.55143i | −0.0176086 | − | 0.0923074i | ||||
\(765\) | 0.0470330 | + | 0.0512575i | 0.00170048 | + | 0.00185322i | ||||
\(766\) | −10.5184 | − | 5.78255i | −0.380046 | − | 0.208932i | ||||
\(767\) | 7.28099 | + | 28.3576i | 0.262901 | + | 1.02393i | ||||
\(768\) | −6.56615 | − | 2.13347i | −0.236936 | − | 0.0769851i | ||||
\(769\) | 2.42566 | − | 2.93212i | 0.0874717 | − | 0.105735i | −0.724962 | − | 0.688789i | \(-0.758142\pi\) |
0.812433 | + | 0.583054i | \(0.198142\pi\) | |||||||
\(770\) | 10.4179 | − | 9.55925i | 0.375433 | − | 0.344491i | ||||
\(771\) | −2.41535 | + | 3.80598i | −0.0869867 | + | 0.137069i | ||||
\(772\) | 0.143089 | − | 0.557296i | 0.00514990 | − | 0.0200575i | ||||
\(773\) | 29.5184 | − | 31.4339i | 1.06170 | − | 1.13060i | 0.0706013 | − | 0.997505i | \(-0.477508\pi\) |
0.991103 | − | 0.133096i | \(-0.0424918\pi\) | |||||||
\(774\) | −2.12563 | − | 6.54201i | −0.0764041 | − | 0.235148i | ||||
\(775\) | −0.123678 | − | 3.10914i | −0.00444265 | − | 0.111684i | ||||
\(776\) | −8.98288 | + | 27.6465i | −0.322467 | + | 0.992450i | ||||
\(777\) | 1.17591 | + | 2.13898i | 0.0421856 | + | 0.0767354i | ||||
\(778\) | −22.2521 | + | 1.39999i | −0.797778 | + | 0.0501919i | ||||
\(779\) | −0.146979 | − | 2.33617i | −0.00526608 | − | 0.0837019i | ||||
\(780\) | −3.19087 | − | 2.37503i | −0.114252 | − | 0.0850397i | ||||
\(781\) | −37.6533 | + | 9.66772i | −1.34734 | + | 0.345938i | ||||
\(782\) | −0.121489 | + | 0.167216i | −0.00434445 | + | 0.00597963i | ||||
\(783\) | −30.7327 | + | 19.5036i | −1.09830 | + | 0.697001i | ||||
\(784\) | 18.0538 | − | 2.28072i | 0.644778 | − | 0.0814544i | ||||
\(785\) | −21.0236 | + | 1.07935i | −0.750363 | + | 0.0385236i | ||||
\(786\) | 0.261977 | − | 0.556729i | 0.00934441 | − | 0.0198579i | ||||
\(787\) | 19.9769 | − | 36.3378i | 0.712099 | − | 1.29530i | −0.234256 | − | 0.972175i | \(-0.575266\pi\) |
0.946355 | − | 0.323128i | \(-0.104734\pi\) | |||||||
\(788\) | −2.42234 | − | 2.57953i | −0.0862922 | − | 0.0918919i | ||||
\(789\) | 2.33055 | − | 1.28123i | 0.0829696 | − | 0.0456129i | ||||
\(790\) | 24.3012 | + | 8.20709i | 0.864599 | + | 0.291995i | ||||
\(791\) | 5.67832 | − | 5.33230i | 0.201898 | − | 0.189595i | ||||
\(792\) | −15.8455 | − | 13.1085i | −0.563045 | − | 0.465791i | ||||
\(793\) | 10.6768 | + | 14.6954i | 0.379146 | + | 0.521850i | ||||
\(794\) | −37.1795 | − | 14.7204i | −1.31945 | − | 0.522407i | ||||
\(795\) | 11.9876 | + | 11.5203i | 0.425158 | + | 0.408582i | ||||
\(796\) | 1.35520 | + | 1.63815i | 0.0480338 | + | 0.0580629i | ||||
\(797\) | 12.9545 | + | 32.7192i | 0.458871 | + | 1.15898i | 0.956538 | + | 0.291607i | \(0.0941900\pi\) |
−0.497667 | + | 0.867368i | \(0.665810\pi\) | |||||||
\(798\) | 0.384271 | − | 0.0733036i | 0.0136031 | − | 0.00259492i | ||||
\(799\) | 0.0770930 | − | 0.0560113i | 0.00272735 | − | 0.00198154i | ||||
\(800\) | 5.07338 | + | 5.65876i | 0.179371 | + | 0.200067i | ||||
\(801\) | −4.56501 | − | 3.31667i | −0.161297 | − | 0.117189i | ||||
\(802\) | −19.3731 | − | 9.11629i | −0.684088 | − | 0.321907i | ||||
\(803\) | 27.6080 | + | 17.5206i | 0.974266 | + | 0.618288i | ||||
\(804\) | 1.25804 | − | 0.498094i | 0.0443677 | − | 0.0175664i | ||||
\(805\) | −25.5387 | + | 6.24407i | −0.900120 | + | 0.220075i | ||||
\(806\) | 0.311684 | − | 4.95408i | 0.0109786 | − | 0.174500i | ||||
\(807\) | 12.3020i | 0.433051i | ||||||||
\(808\) | 46.6639 | + | 2.93584i | 1.64163 | + | 0.103283i | ||||
\(809\) | 7.04446 | + | 14.9702i | 0.247670 | + | 0.526326i | 0.989547 | − | 0.144210i | \(-0.0460642\pi\) |
−0.741877 | + | 0.670536i | \(0.766064\pi\) | |||||||
\(810\) | 0.547658 | − | 0.0979372i | 0.0192427 | − | 0.00344116i | ||||
\(811\) | −1.55279 | − | 1.45817i | −0.0545258 | − | 0.0512032i | 0.656805 | − | 0.754060i | \(-0.271907\pi\) |
−0.711331 | + | 0.702857i | \(0.751907\pi\) | |||||||
\(812\) | −0.300976 | − | 2.38247i | −0.0105622 | − | 0.0836082i | ||||
\(813\) | −3.19556 | − | 25.2954i | −0.112073 | − | 0.887149i | ||||
\(814\) | 6.39005 | + | 6.00066i | 0.223971 | + | 0.210323i | ||||
\(815\) | −1.78039 | + | 12.8950i | −0.0623642 | + | 0.451692i | ||||
\(816\) | 0.0266158 | + | 0.0565614i | 0.000931739 | + | 0.00198005i | ||||
\(817\) | −0.615792 | − | 0.0387424i | −0.0215438 | − | 0.00135542i | ||||
\(818\) | − | 30.6823i | − | 1.07278i | ||||||
\(819\) | −0.886368 | + | 14.0884i | −0.0309722 | + | 0.492289i | ||||
\(820\) | 6.08755 | + | 2.49185i | 0.212586 | + | 0.0870192i | ||||
\(821\) | −34.0182 | + | 13.4688i | −1.18724 | + | 0.470063i | −0.876952 | − | 0.480578i | \(-0.840427\pi\) |
−0.310292 | + | 0.950641i | \(0.600427\pi\) | |||||||
\(822\) | 0.736701 | + | 0.467525i | 0.0256954 | + | 0.0163068i | ||||
\(823\) | −12.8589 | − | 6.05094i | −0.448233 | − | 0.210922i | 0.188395 | − | 0.982093i | \(-0.439671\pi\) |
−0.636628 | + | 0.771171i | \(0.719671\pi\) | |||||||
\(824\) | 7.87489 | + | 5.72145i | 0.274335 | + | 0.199316i | ||||
\(825\) | −7.08317 | − | 19.1710i | −0.246604 | − | 0.667447i | ||||
\(826\) | 6.54593 | − | 4.75590i | 0.227762 | − | 0.165479i | ||||
\(827\) | −38.8769 | + | 7.41617i | −1.35188 | + | 0.257886i | −0.811903 | − | 0.583792i | \(-0.801568\pi\) |
−0.539980 | + | 0.841678i | \(0.681568\pi\) | |||||||
\(828\) | 1.67791 | + | 4.23792i | 0.0583114 | + | 0.147278i | ||||
\(829\) | −7.62450 | − | 9.21644i | −0.264810 | − | 0.320100i | 0.621302 | − | 0.783571i | \(-0.286604\pi\) |
−0.886112 | + | 0.463471i | \(0.846604\pi\) | |||||||
\(830\) | −12.8024 | − | 1.76761i | −0.444378 | − | 0.0613545i | ||||
\(831\) | 25.8944 | + | 10.2523i | 0.898268 | + | 0.355649i | ||||
\(832\) | 31.2660 | + | 43.0340i | 1.08395 | + | 1.49193i | ||||
\(833\) | 0.0705724 | + | 0.0583826i | 0.00244519 | + | 0.00202284i | ||||
\(834\) | 2.97176 | − | 2.79067i | 0.102904 | − | 0.0966329i | ||||
\(835\) | 0.126337 | − | 10.9501i | 0.00437206 | − | 0.378945i | ||||
\(836\) | −0.192677 | + | 0.105925i | −0.00666387 | + | 0.00366349i | ||||
\(837\) | −2.22772 | − | 2.37228i | −0.0770011 | − | 0.0819979i | ||||
\(838\) | −0.887369 | + | 1.61412i | −0.0306536 | + | 0.0557588i | ||||
\(839\) | 11.8724 | − | 25.2302i | 0.409881 | − | 0.871043i | −0.588175 | − | 0.808733i | \(-0.700154\pi\) |
0.998057 | − | 0.0623091i | \(-0.0198465\pi\) | |||||||
\(840\) | −2.39650 | + | 8.90590i | −0.0826870 | + | 0.307283i | ||||
\(841\) | −19.2968 | + | 2.43775i | −0.665407 | + | 0.0840605i | ||||
\(842\) | 21.5150 | − | 13.6538i | 0.741456 | − | 0.470542i | ||||
\(843\) | 18.3550 | − | 25.2635i | 0.632180 | − | 0.870121i | ||||
\(844\) | −5.36969 | + | 1.37870i | −0.184832 | + | 0.0474569i | ||||
\(845\) | 15.8538 | + | 50.7790i | 0.545387 | + | 1.74685i | ||||
\(846\) | 0.843095 | + | 13.4006i | 0.0289862 | + | 0.460722i | ||||
\(847\) | −4.10775 | + | 0.258438i | −0.141144 | + | 0.00888003i | ||||
\(848\) | −11.1909 | − | 20.3562i | −0.384298 | − | 0.699035i | ||||
\(849\) | −3.18380 | + | 9.79874i | −0.109268 | + | 0.336292i | ||||
\(850\) | 0.00961310 | − | 0.111627i | 0.000329727 | − | 0.00382879i | ||||
\(851\) | −5.03693 | − | 15.5021i | −0.172664 | − | 0.531404i | ||||
\(852\) | 2.06904 | − | 2.20331i | 0.0708843 | − | 0.0754841i | ||||
\(853\) | 8.43096 | − | 32.8364i | 0.288671 | − | 1.12430i | −0.644424 | − | 0.764668i | \(-0.722903\pi\) |
0.933095 | − | 0.359630i | \(-0.117097\pi\) | |||||||
\(854\) | 2.68987 | − | 4.23855i | 0.0920453 | − | 0.145040i | ||||
\(855\) | −0.174707 | + | 0.861713i | −0.00597485 | + | 0.0294700i | ||||
\(856\) | −35.4857 | + | 42.8948i | −1.21288 | + | 1.46612i | ||||
\(857\) | 7.22375 | + | 2.34714i | 0.246759 | + | 0.0801767i | 0.429785 | − | 0.902931i | \(-0.358589\pi\) |
−0.183026 | + | 0.983108i | \(0.558589\pi\) | |||||||
\(858\) | −8.10823 | − | 31.5795i | −0.276810 | − | 1.07810i | ||||
\(859\) | −9.70682 | − | 5.33637i | −0.331193 | − | 0.182075i | 0.307478 | − | 0.951555i | \(-0.400515\pi\) |
−0.638670 | + | 0.769481i | \(0.720515\pi\) | |||||||
\(860\) | 0.852762 | − | 1.50965i | 0.0290789 | − | 0.0514785i | ||||
\(861\) | 2.81315 | + | 14.7470i | 0.0958719 | + | 0.502578i | ||||
\(862\) | 25.7120 | + | 4.90483i | 0.875755 | + | 0.167059i | ||||
\(863\) | 45.1626 | − | 21.2519i | 1.53735 | − | 0.723423i | 0.544059 | − | 0.839047i | \(-0.316887\pi\) |
0.993293 | + | 0.115624i | \(0.0368868\pi\) | |||||||
\(864\) | 7.88589 | + | 0.996220i | 0.268283 | + | 0.0338921i | ||||
\(865\) | −1.70275 | − | 1.44205i | −0.0578952 | − | 0.0490310i | ||||
\(866\) | 4.55677 | − | 23.8874i | 0.154845 | − | 0.811728i | ||||
\(867\) | 6.78127 | − | 17.1275i | 0.230304 | − | 0.581682i | ||||
\(868\) | 0.204191 | − | 0.0663458i | 0.00693071 | − | 0.00225192i | ||||
\(869\) | −17.6305 | − | 27.7813i | −0.598075 | − | 0.942416i | ||||
\(870\) | 21.4175 | + | 5.76325i | 0.726121 | + | 0.195393i | ||||
\(871\) | −27.1040 | − | 6.95911i | −0.918382 | − | 0.235801i | ||||
\(872\) | 31.7140 | − | 26.2361i | 1.07397 | − | 0.888467i | ||||
\(873\) | 2.22769 | − | 17.6340i | 0.0753960 | − | 0.596821i | ||||
\(874\) | −2.61236 | −0.0883643 | ||||||||
\(875\) | 10.1095 | − | 10.0451i | 0.341763 | − | 0.339586i | ||||
\(876\) | −2.54229 | −0.0858959 | ||||||||
\(877\) | −0.876205 | + | 6.93588i | −0.0295873 | + | 0.234208i | −0.999973 | − | 0.00735316i | \(-0.997659\pi\) |
0.970386 | + | 0.241561i | \(0.0776594\pi\) | |||||||
\(878\) | −19.2029 | + | 15.8861i | −0.648068 | + | 0.536128i | ||||
\(879\) | 30.2528 | + | 7.76761i | 1.02040 | + | 0.261995i | ||||
\(880\) | 1.46410 | + | 28.5177i | 0.0493547 | + | 0.961332i | ||||
\(881\) | −21.7097 | − | 34.2090i | −0.731419 | − | 1.15253i | −0.982805 | − | 0.184645i | \(-0.940886\pi\) |
0.251386 | − | 0.967887i | \(-0.419114\pi\) | |||||||
\(882\) | −12.2740 | + | 3.98807i | −0.413287 | + | 0.134285i | ||||
\(883\) | −0.321501 | + | 0.812018i | −0.0108194 | + | 0.0273266i | −0.935086 | − | 0.354422i | \(-0.884678\pi\) |
0.924266 | + | 0.381748i | \(0.124678\pi\) | |||||||
\(884\) | −0.00524164 | + | 0.0274776i | −0.000176295 | + | 0.000924173i | ||||
\(885\) | −2.77772 | − | 11.3611i | −0.0933720 | − | 0.381898i | ||||
\(886\) | 19.9834 | + | 2.52449i | 0.671354 | + | 0.0848118i | ||||
\(887\) | 17.0651 | − | 8.03024i | 0.572991 | − | 0.269629i | −0.117377 | − | 0.993087i | \(-0.537449\pi\) |
0.690368 | + | 0.723458i | \(0.257449\pi\) | |||||||
\(888\) | −5.61661 | − | 1.07142i | −0.188481 | − | 0.0359547i | ||||
\(889\) | 2.45535 | + | 12.8714i | 0.0823499 | + | 0.431693i | ||||
\(890\) | 1.03492 | + | 9.02875i | 0.0346906 | + | 0.302644i | ||||
\(891\) | −0.625404 | − | 0.343819i | −0.0209518 | − | 0.0115184i | ||||
\(892\) | −0.186484 | − | 0.726308i | −0.00624395 | − | 0.0243186i | ||||
\(893\) | 1.14545 | + | 0.372179i | 0.0383310 | + | 0.0124545i | ||||
\(894\) | −12.9073 | + | 15.6023i | −0.431685 | + | 0.521818i | ||||
\(895\) | 51.4848 | + | 29.0825i | 1.72095 | + | 0.972120i | ||||
\(896\) | 5.80061 | − | 9.14029i | 0.193785 | − | 0.305356i | ||||
\(897\) | −15.0769 | + | 58.7208i | −0.503405 | + | 1.96063i | ||||
\(898\) | 23.2802 | − | 24.7909i | 0.776871 | − | 0.827284i | ||||
\(899\) | −1.33858 | − | 4.11972i | −0.0446441 | − | 0.137400i | ||||
\(900\) | −1.96484 | − | 1.49800i | −0.0654947 | − | 0.0499334i | ||||
\(901\) | 0.0361303 | − | 0.111198i | 0.00120367 | − | 0.00370453i | ||||
\(902\) | 25.9739 | + | 47.2464i | 0.864837 | + | 1.57313i | ||||
\(903\) | 3.94947 | − | 0.248480i | 0.131430 | − | 0.00826889i | ||||
\(904\) | 1.14575 | + | 18.2112i | 0.0381072 | + | 0.605696i | ||||
\(905\) | 21.6947 | − | 15.3829i | 0.721158 | − | 0.511345i | ||||
\(906\) | −10.9719 | + | 2.81711i | −0.364517 | + | 0.0935921i | ||||
\(907\) | 3.14888 | − | 4.33406i | 0.104557 | − | 0.143910i | −0.753532 | − | 0.657411i | \(-0.771652\pi\) |
0.858089 | + | 0.513501i | \(0.171652\pi\) | |||||||
\(908\) | −3.50243 | + | 2.22271i | −0.116232 | + | 0.0737632i | ||||
\(909\) | −28.3633 | + | 3.58312i | −0.940751 | + | 0.118844i | ||||
\(910\) | 17.6838 | − | 14.2889i | 0.586211 | − | 0.473672i | ||||
\(911\) | −0.0341816 | + | 0.0726395i | −0.00113249 | + | 0.00240665i | −0.905392 | − | 0.424576i | \(-0.860423\pi\) |
0.904260 | + | 0.426982i | \(0.140423\pi\) | |||||||
\(912\) | −0.380621 | + | 0.692347i | −0.0126036 | + | 0.0229259i | ||||
\(913\) | 11.3489 | + | 12.0854i | 0.375595 | + | 0.399968i | ||||
\(914\) | −7.07872 | + | 3.89156i | −0.234143 | + | 0.128721i | ||||
\(915\) | −4.19717 | − | 5.91933i | −0.138754 | − | 0.195687i | ||||
\(916\) | −1.12011 | + | 1.05186i | −0.0370096 | + | 0.0347543i | ||||
\(917\) | −0.424081 | − | 0.350830i | −0.0140044 | − | 0.0115854i | ||||
\(918\) | −0.0688758 | − | 0.0947994i | −0.00227324 | − | 0.00312885i | ||||
\(919\) | 22.3730 | + | 8.85811i | 0.738018 | + | 0.292202i | 0.706900 | − | 0.707314i | \(-0.250093\pi\) |
0.0311181 | + | 0.999516i | \(0.490093\pi\) | |||||||
\(920\) | 26.8638 | − | 55.4197i | 0.885672 | − | 1.82713i | ||||
\(921\) | 15.6703 | + | 18.9421i | 0.516352 | + | 0.624163i | ||||
\(922\) | −13.7325 | − | 34.6845i | −0.452257 | − | 1.14227i | ||||
\(923\) | −61.4022 | + | 11.7131i | −2.02108 | + | 0.385542i | ||||
\(924\) | 1.14087 | − | 0.828890i | 0.0375318 | − | 0.0272685i | ||||
\(925\) | 6.67623 | + | 5.78763i | 0.219513 | + | 0.190296i | ||||
\(926\) | −42.9884 | − | 31.2329i | −1.41269 | − | 1.02638i | ||||
\(927\) | −5.38529 | − | 2.53412i | −0.176876 | − | 0.0832316i | ||||
\(928\) | 8.93316 | + | 5.66916i | 0.293245 | + | 0.186099i | ||||
\(929\) | 21.2556 | − | 8.41569i | 0.697374 | − | 0.276110i | 0.00742959 | − | 0.999972i | \(-0.497635\pi\) |
0.689944 | + | 0.723863i | \(0.257635\pi\) | |||||||
\(930\) | −0.147335 | + | 1.97748i | −0.00483130 | + | 0.0648443i | ||||
\(931\) | −0.0726878 | + | 1.15534i | −0.00238225 | + | 0.0378647i | ||||
\(932\) | − | 5.71920i | − | 0.187339i | ||||||
\(933\) | 19.8093 | + | 1.24630i | 0.648527 | + | 0.0408019i | ||||
\(934\) | 3.48420 | + | 7.40431i | 0.114007 | + | 0.242276i | ||||
\(935\) | −0.0995893 | + | 0.103630i | −0.00325692 | + | 0.00338905i | ||||
\(936\) | −24.1054 | − | 22.6365i | −0.787910 | − | 0.739896i | ||||
\(937\) | −1.89946 | − | 15.0358i | −0.0620527 | − | 0.491198i | −0.992261 | − | 0.124167i | \(-0.960374\pi\) |
0.930209 | − | 0.367031i | \(-0.119626\pi\) | |||||||
\(938\) | 0.969268 | + | 7.67254i | 0.0316477 | + | 0.250517i | ||||
\(939\) | 9.30204 | + | 8.73519i | 0.303561 | + | 0.285062i | ||||
\(940\) | −2.34513 | + | 2.44027i | −0.0764897 | + | 0.0795929i | ||||
\(941\) | −19.9554 | − | 42.4075i | −0.650529 | − | 1.38244i | −0.909151 | − | 0.416466i | \(-0.863269\pi\) |
0.258622 | − | 0.965978i | \(-0.416731\pi\) | |||||||
\(942\) | 13.3891 | + | 0.842370i | 0.436240 | + | 0.0274459i | ||||
\(943\) | − | 100.254i | − | 3.26471i | ||||||
\(944\) | −1.02607 | + | 16.3089i | −0.0333957 | + | 0.530809i | ||||
\(945\) | 1.10745 | − | 14.8639i | 0.0360254 | − | 0.483521i | ||||
\(946\) | 13.2136 | − | 5.23163i | 0.429611 | − | 0.170095i | ||||
\(947\) | 6.31667 | + | 4.00868i | 0.205264 | + | 0.130265i | 0.634486 | − | 0.772935i | \(-0.281212\pi\) |
−0.429221 | + | 0.903199i | \(0.641212\pi\) | |||||||
\(948\) | 2.31477 | + | 1.08925i | 0.0751801 | + | 0.0353771i | ||||
\(949\) | 42.5365 | + | 30.9046i | 1.38079 | + | 1.00320i | ||||
\(950\) | 1.21282 | − | 0.730986i | 0.0393492 | − | 0.0237163i | ||||
\(951\) | 2.52605 | − | 1.83528i | 0.0819126 | − | 0.0595130i | ||||
\(952\) | 0.0637090 | − | 0.0121531i | 0.00206482 | − | 0.000393885i | ||||
\(953\) | −4.74863 | − | 11.9937i | −0.153823 | − | 0.388513i | 0.832346 | − | 0.554257i | \(-0.186998\pi\) |
−0.986169 | + | 0.165744i | \(0.946998\pi\) | |||||||
\(954\) | 10.5013 | + | 12.6939i | 0.339992 | + | 0.410980i | ||||
\(955\) | 9.36039 | − | 19.3104i | 0.302895 | − | 0.624869i | ||||
\(956\) | −1.71965 | − | 0.680857i | −0.0556174 | − | 0.0220205i | ||||
\(957\) | −16.7235 | − | 23.0179i | −0.540594 | − | 0.744064i | ||||
\(958\) | 42.4041 | + | 35.0798i | 1.37002 | + | 1.13338i | ||||
\(959\) | 0.568957 | − | 0.534286i | 0.0183726 | − | 0.0172530i | ||||
\(960\) | −12.2910 | − | 17.3341i | −0.396689 | − | 0.559457i | ||||
\(961\) | −26.8261 | + | 14.7478i | −0.865359 | + | 0.475735i | ||||
\(962\) | 9.64892 | + | 10.2751i | 0.311094 | + | 0.331281i | ||||
\(963\) | 16.3986 | − | 29.8289i | 0.528437 | − | 0.961223i | ||||
\(964\) | −2.01031 | + | 4.27213i | −0.0647478 | + | 0.137596i | ||||
\(965\) | 3.69743 | − | 2.98760i | 0.119024 | − | 0.0961744i | ||||
\(966\) | 16.6226 | − | 2.09992i | 0.534823 | − | 0.0675639i | ||||
\(967\) | −13.0656 | + | 8.29170i | −0.420162 | + | 0.266643i | −0.729057 | − | 0.684453i | \(-0.760041\pi\) |
0.308895 | + | 0.951096i | \(0.400041\pi\) | |||||||
\(968\) | 5.66717 | − | 7.80019i | 0.182150 | − | 0.250708i | ||||
\(969\) | −0.00385170 | 0.000988949i | −0.000123735 | 3.17696e-5i | ||||||
\(970\) | −23.3519 | + | 16.5579i | −0.749783 | + | 0.531642i | ||||
\(971\) | 0.389787 | + | 6.19549i | 0.0125089 | + | 0.198823i | 0.999318 | + | 0.0369331i | \(0.0117589\pi\) |
−0.986809 | + | 0.161890i | \(0.948241\pi\) | |||||||
\(972\) | −4.18219 | + | 0.263121i | −0.134144 | + | 0.00843961i | ||||
\(973\) | −1.75679 | − | 3.19559i | −0.0563201 | − | 0.102446i | ||||
\(974\) | −2.94826 | + | 9.07382i | −0.0944685 | + | 0.290744i | ||||
\(975\) | −9.43150 | − | 31.4808i | −0.302050 | − | 1.00819i | ||||
\(976\) | 3.13297 | + | 9.64230i | 0.100284 | + | 0.308643i | ||||
\(977\) | 6.31426 | − | 6.72400i | 0.202011 | − | 0.215120i | −0.619984 | − | 0.784614i | \(-0.712861\pi\) |
0.821995 | + | 0.569494i | \(0.192861\pi\) | |||||||
\(978\) | 2.06306 | − | 8.03507i | 0.0659692 | − | 0.256933i | ||||
\(979\) | 6.24664 | − | 9.84312i | 0.199643 | − | 0.314588i | ||||
\(980\) | −2.83237 | − | 1.59994i | −0.0904769 | − | 0.0511081i | ||||
\(981\) | −16.0419 | + | 19.3913i | −0.512179 | + | 0.619118i | ||||
\(982\) | −25.6134 | − | 8.32228i | −0.817355 | − | 0.265575i | ||||
\(983\) | −6.22467 | − | 24.2435i | −0.198536 | − | 0.773247i | −0.987342 | − | 0.158605i | \(-0.949300\pi\) |
0.788806 | − | 0.614642i | \(-0.210700\pi\) | |||||||
\(984\) | −30.8183 | − | 16.9425i | −0.982451 | − | 0.540107i | ||||
\(985\) | −3.32927 | − | 29.0450i | −0.106079 | − | 0.925449i | ||||
\(986\) | −0.0292267 | − | 0.153212i | −0.000930767 | − | 0.00487925i | ||||
\(987\) | −7.58775 | − | 1.44744i | −0.241521 | − | 0.0460725i | ||||
\(988\) | −0.319903 | + | 0.150535i | −0.0101775 | + | 0.00478916i | ||||
\(989\) | −26.2175 | − | 3.31205i | −0.833669 | − | 0.105317i | ||||
\(990\) | −4.80974 | − | 19.6722i | −0.152864 | − | 0.625223i | ||||
\(991\) | −8.79859 | + | 46.1238i | −0.279496 | + | 1.46517i | 0.514627 | + | 0.857414i | \(0.327931\pi\) |
−0.794123 | + | 0.607757i | \(0.792069\pi\) | |||||||
\(992\) | −0.348221 | + | 0.879506i | −0.0110560 | + | 0.0279244i | ||||
\(993\) | −26.4466 | + | 8.59304i | −0.839259 | + | 0.272692i | ||||
\(994\) | 9.25661 | + | 14.5861i | 0.293602 | + | 0.462643i | ||||
\(995\) | 0.900601 | + | 17.5419i | 0.0285510 | + | 0.556116i | ||||
\(996\) | −1.24850 | − | 0.320561i | −0.0395603 | − | 0.0101574i | ||||
\(997\) | −41.1892 | + | 34.0746i | −1.30447 | + | 1.07915i | −0.312876 | + | 0.949794i | \(0.601292\pi\) |
−0.991598 | + | 0.129361i | \(0.958708\pi\) | |||||||
\(998\) | −2.34625 | + | 18.5725i | −0.0742693 | + | 0.587902i | ||||
\(999\) | 9.24083 | 0.292367 |
(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 | 125.2.h.a.109.9 | yes | 240 | |
5.2 | odd | 4 | 625.2.g.b.451.18 | 480 | |||
5.3 | odd | 4 | 625.2.g.b.451.7 | 480 | |||
5.4 | even | 2 | 625.2.h.a.174.4 | 240 | |||
125.27 | odd | 100 | 625.2.g.b.176.18 | 480 | |||
125.39 | even | 50 | inner | 125.2.h.a.39.9 | ✓ | 240 | |
125.86 | even | 25 | 625.2.h.a.449.4 | 240 | |||
125.98 | odd | 100 | 625.2.g.b.176.7 | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
125.2.h.a.39.9 | ✓ | 240 | 125.39 | even | 50 | inner | |
125.2.h.a.109.9 | yes | 240 | 1.1 | even | 1 | trivial | |
625.2.g.b.176.7 | 480 | 125.98 | odd | 100 | |||
625.2.g.b.176.18 | 480 | 125.27 | odd | 100 | |||
625.2.g.b.451.7 | 480 | 5.3 | odd | 4 | |||
625.2.g.b.451.18 | 480 | 5.2 | odd | 4 | |||
625.2.h.a.174.4 | 240 | 5.4 | even | 2 | |||
625.2.h.a.449.4 | 240 | 125.86 | even | 25 |