Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(10,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 11, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.10");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.bf (of order \(66\), 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: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(640\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 10.14 | ||
Character | \(\chi\) | \(=\) | 483.10 |
Dual form | 483.2.bf.a.145.14 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{3}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.175281 | + | 0.506440i | −0.123942 | + | 0.358108i | −0.989854 | − | 0.142090i | \(-0.954618\pi\) |
0.865912 | + | 0.500197i | \(0.166739\pi\) | |||||||
\(3\) | 0.458227 | + | 0.888835i | 0.264557 | + | 0.513169i | ||||
\(4\) | 1.34635 | + | 1.05878i | 0.673174 | + | 0.529390i | ||||
\(5\) | −1.28396 | + | 0.122604i | −0.574206 | + | 0.0548301i | −0.378120 | − | 0.925757i | \(-0.623429\pi\) |
−0.196086 | + | 0.980587i | \(0.562823\pi\) | |||||||
\(6\) | −0.530461 | + | 0.0762687i | −0.216560 | + | 0.0311366i | ||||
\(7\) | 2.45236 | − | 0.992951i | 0.926903 | − | 0.375300i | ||||
\(8\) | −1.67388 | + | 1.07574i | −0.591806 | + | 0.380330i | ||||
\(9\) | −0.580057 | + | 0.814576i | −0.193352 | + | 0.271525i | ||||
\(10\) | 0.162963 | − | 0.671742i | 0.0515334 | − | 0.212423i | ||||
\(11\) | −3.41543 | + | 1.18209i | −1.02979 | + | 0.356414i | −0.789150 | − | 0.614201i | \(-0.789478\pi\) |
−0.240640 | + | 0.970614i | \(0.577357\pi\) | |||||||
\(12\) | −0.324149 | + | 1.68184i | −0.0935736 | + | 0.485506i | ||||
\(13\) | 1.41376 | + | 4.81481i | 0.392105 | + | 1.33539i | 0.885118 | + | 0.465366i | \(0.154077\pi\) |
−0.493013 | + | 0.870022i | \(0.664105\pi\) | |||||||
\(14\) | 0.0730199 | + | 1.41602i | 0.0195154 | + | 0.378447i | ||||
\(15\) | −0.697321 | − | 1.08505i | −0.180048 | − | 0.280159i | ||||
\(16\) | 0.556215 | + | 2.29275i | 0.139054 | + | 0.573188i | ||||
\(17\) | 0.881954 | + | 0.353081i | 0.213905 | + | 0.0856348i | 0.476140 | − | 0.879369i | \(-0.342035\pi\) |
−0.262235 | + | 0.965004i | \(0.584460\pi\) | |||||||
\(18\) | −0.310861 | − | 0.436544i | −0.0732707 | − | 0.102894i | ||||
\(19\) | 3.52161 | − | 1.40984i | 0.807913 | − | 0.323440i | 0.0693229 | − | 0.997594i | \(-0.477916\pi\) |
0.738590 | + | 0.674155i | \(0.235492\pi\) | |||||||
\(20\) | −1.85847 | − | 1.19437i | −0.415567 | − | 0.267069i | ||||
\(21\) | 2.00630 | + | 1.72474i | 0.437812 | + | 0.376370i | ||||
\(22\) | − | 1.93691i | − | 0.412950i | ||||||
\(23\) | 4.33760 | − | 2.04579i | 0.904452 | − | 0.426576i | ||||
\(24\) | −1.72317 | − | 0.994872i | −0.351740 | − | 0.203077i | ||||
\(25\) | −3.27611 | + | 0.631418i | −0.655222 | + | 0.126284i | ||||
\(26\) | −2.68622 | − | 0.127960i | −0.526811 | − | 0.0250951i | ||||
\(27\) | −0.989821 | − | 0.142315i | −0.190491 | − | 0.0273885i | ||||
\(28\) | 4.35304 | + | 1.25965i | 0.822647 | + | 0.238051i | ||||
\(29\) | 0.260107 | + | 1.80908i | 0.0483006 | + | 0.335938i | 0.999616 | + | 0.0277183i | \(0.00882413\pi\) |
−0.951315 | + | 0.308220i | \(0.900267\pi\) | |||||||
\(30\) | 0.671742 | − | 0.162963i | 0.122643 | − | 0.0297528i | ||||
\(31\) | −6.75160 | + | 0.321618i | −1.21262 | + | 0.0577644i | −0.644125 | − | 0.764920i | \(-0.722778\pi\) |
−0.568498 | + | 0.822684i | \(0.692475\pi\) | |||||||
\(32\) | −5.22010 | − | 0.498460i | −0.922793 | − | 0.0881160i | ||||
\(33\) | −2.61572 | − | 2.49409i | −0.455339 | − | 0.434165i | ||||
\(34\) | −0.333404 | + | 0.384769i | −0.0571783 | + | 0.0659873i | ||||
\(35\) | −3.02700 | + | 1.57558i | −0.511656 | + | 0.266322i | ||||
\(36\) | −1.64341 | + | 0.482550i | −0.273902 | + | 0.0804250i | ||||
\(37\) | −3.83290 | − | 2.72940i | −0.630125 | − | 0.448710i | 0.219850 | − | 0.975534i | \(-0.429443\pi\) |
−0.849974 | + | 0.526824i | \(0.823383\pi\) | |||||||
\(38\) | 0.0967296 | + | 2.03060i | 0.0156916 | + | 0.329408i | ||||
\(39\) | −3.63175 | + | 3.46287i | −0.581546 | + | 0.554503i | ||||
\(40\) | 2.01731 | − | 1.58643i | 0.318965 | − | 0.250837i | ||||
\(41\) | 8.00676 | + | 3.65657i | 1.25045 | + | 0.571060i | 0.926955 | − | 0.375172i | \(-0.122416\pi\) |
0.323491 | + | 0.946231i | \(0.395144\pi\) | |||||||
\(42\) | −1.22515 | + | 0.713759i | −0.189044 | + | 0.110135i | ||||
\(43\) | 1.83293 | − | 2.85209i | 0.279519 | − | 0.434939i | −0.672900 | − | 0.739734i | \(-0.734951\pi\) |
0.952418 | + | 0.304794i | \(0.0985878\pi\) | |||||||
\(44\) | −5.84992 | − | 2.02468i | −0.881909 | − | 0.305232i | ||||
\(45\) | 0.644903 | − | 1.11700i | 0.0961364 | − | 0.166513i | ||||
\(46\) | 0.275772 | + | 2.55532i | 0.0406604 | + | 0.376762i | ||||
\(47\) | 3.17773 | − | 1.83466i | 0.463519 | − | 0.267613i | −0.250004 | − | 0.968245i | \(-0.580432\pi\) |
0.713523 | + | 0.700632i | \(0.247098\pi\) | |||||||
\(48\) | −1.78301 | + | 1.54498i | −0.257355 | + | 0.222999i | ||||
\(49\) | 5.02810 | − | 4.87014i | 0.718299 | − | 0.695734i | ||||
\(50\) | 0.254463 | − | 1.76983i | 0.0359865 | − | 0.250292i | ||||
\(51\) | 0.0903037 | + | 0.945703i | 0.0126450 | + | 0.132425i | ||||
\(52\) | −3.19441 | + | 7.97926i | −0.442986 | + | 1.10652i | ||||
\(53\) | −1.99653 | − | 2.09391i | −0.274245 | − | 0.287620i | 0.572180 | − | 0.820128i | \(-0.306098\pi\) |
−0.846425 | + | 0.532508i | \(0.821250\pi\) | |||||||
\(54\) | 0.245571 | − | 0.476341i | 0.0334179 | − | 0.0648217i | ||||
\(55\) | 4.24036 | − | 1.93651i | 0.571770 | − | 0.261118i | ||||
\(56\) | −3.03679 | + | 4.30017i | −0.405808 | + | 0.574634i | ||||
\(57\) | 2.86681 | + | 2.48411i | 0.379719 | + | 0.329028i | ||||
\(58\) | −0.961784 | − | 0.185369i | −0.126288 | − | 0.0243401i | ||||
\(59\) | 6.81814 | + | 1.65406i | 0.887647 | + | 0.215341i | 0.653560 | − | 0.756875i | \(-0.273275\pi\) |
0.234087 | + | 0.972216i | \(0.424790\pi\) | |||||||
\(60\) | 0.209995 | − | 2.19917i | 0.0271102 | − | 0.283911i | ||||
\(61\) | 5.68113 | + | 2.92883i | 0.727394 | + | 0.374998i | 0.781807 | − | 0.623521i | \(-0.214298\pi\) |
−0.0544125 | + | 0.998519i | \(0.517329\pi\) | |||||||
\(62\) | 1.02055 | − | 3.47566i | 0.129609 | − | 0.441409i | ||||
\(63\) | −0.613672 | + | 2.57360i | −0.0773154 | + | 0.324243i | ||||
\(64\) | −0.792716 | + | 1.73581i | −0.0990895 | + | 0.216976i | ||||
\(65\) | −2.40553 | − | 6.00871i | −0.298369 | − | 0.745289i | ||||
\(66\) | 1.72159 | − | 0.887542i | 0.211913 | − | 0.109249i | ||||
\(67\) | −1.42324 | − | 7.38449i | −0.173877 | − | 0.902159i | −0.959126 | − | 0.282979i | \(-0.908677\pi\) |
0.785249 | − | 0.619180i | \(-0.212535\pi\) | |||||||
\(68\) | 0.813582 | + | 1.40916i | 0.0986613 | + | 0.170886i | ||||
\(69\) | 3.80597 | + | 2.91798i | 0.458185 | + | 0.351283i | ||||
\(70\) | −0.267364 | − | 1.80916i | −0.0319561 | − | 0.216236i | ||||
\(71\) | −4.78161 | − | 5.51827i | −0.567473 | − | 0.654899i | 0.397391 | − | 0.917649i | \(-0.369916\pi\) |
−0.964864 | + | 0.262751i | \(0.915370\pi\) | |||||||
\(72\) | 0.0946758 | − | 1.98749i | 0.0111577 | − | 0.234228i | ||||
\(73\) | 0.279832 | − | 0.355836i | 0.0327519 | − | 0.0416474i | −0.769401 | − | 0.638766i | \(-0.779445\pi\) |
0.802153 | + | 0.597118i | \(0.203688\pi\) | |||||||
\(74\) | 2.05411 | − | 1.46272i | 0.238785 | − | 0.170038i | ||||
\(75\) | −2.06243 | − | 2.62259i | −0.238149 | − | 0.302831i | ||||
\(76\) | 6.23402 | + | 1.83047i | 0.715092 | + | 0.209970i | ||||
\(77\) | −7.20208 | + | 6.29026i | −0.820753 | + | 0.716841i | ||||
\(78\) | −1.11716 | − | 2.44624i | −0.126494 | − | 0.276982i | ||||
\(79\) | 2.38626 | − | 2.50263i | 0.268475 | − | 0.281568i | −0.575672 | − | 0.817681i | \(-0.695259\pi\) |
0.844146 | + | 0.536113i | \(0.180108\pi\) | |||||||
\(80\) | −0.995261 | − | 2.87562i | −0.111274 | − | 0.321504i | ||||
\(81\) | −0.327068 | − | 0.945001i | −0.0363409 | − | 0.105000i | ||||
\(82\) | −3.25526 | + | 3.41402i | −0.359484 | + | 0.377016i | ||||
\(83\) | 2.31841 | + | 5.07661i | 0.254478 | + | 0.557230i | 0.993151 | − | 0.116834i | \(-0.0372745\pi\) |
−0.738673 | + | 0.674064i | \(0.764547\pi\) | |||||||
\(84\) | 0.875060 | + | 4.44634i | 0.0954769 | + | 0.485135i | ||||
\(85\) | −1.17569 | − | 0.345213i | −0.127521 | − | 0.0374436i | ||||
\(86\) | 1.12314 | + | 1.42818i | 0.121111 | + | 0.154005i | ||||
\(87\) | −1.48879 | + | 1.06016i | −0.159615 | + | 0.113661i | ||||
\(88\) | 4.44539 | − | 5.65278i | 0.473880 | − | 0.602588i | ||||
\(89\) | 0.490096 | − | 10.2884i | 0.0519501 | − | 1.09057i | −0.810925 | − | 0.585149i | \(-0.801036\pi\) |
0.862876 | − | 0.505417i | \(-0.168661\pi\) | |||||||
\(90\) | 0.452657 | + | 0.522394i | 0.0477142 | + | 0.0550652i | ||||
\(91\) | 8.24790 | + | 10.4038i | 0.864615 | + | 1.09062i | ||||
\(92\) | 8.00595 | + | 1.83822i | 0.834678 | + | 0.191648i | ||||
\(93\) | −3.37963 | − | 5.85369i | −0.350451 | − | 0.606999i | ||||
\(94\) | 0.372153 | + | 1.93091i | 0.0383846 | + | 0.199158i | ||||
\(95\) | −4.34877 | + | 2.24195i | −0.446175 | + | 0.230019i | ||||
\(96\) | −1.94894 | − | 4.86822i | −0.198913 | − | 0.496861i | ||||
\(97\) | −2.62470 | + | 5.74729i | −0.266498 | + | 0.583549i | −0.994816 | − | 0.101690i | \(-0.967575\pi\) |
0.728318 | + | 0.685239i | \(0.240302\pi\) | |||||||
\(98\) | 1.58511 | + | 3.40007i | 0.160120 | + | 0.343459i | ||||
\(99\) | 1.01824 | − | 3.46780i | 0.102337 | − | 0.348527i | ||||
\(100\) | −5.07932 | − | 2.61857i | −0.507932 | − | 0.261857i | ||||
\(101\) | 1.39230 | − | 14.5808i | 0.138539 | − | 1.45084i | −0.612441 | − | 0.790516i | \(-0.709812\pi\) |
0.750979 | − | 0.660326i | \(-0.229582\pi\) | |||||||
\(102\) | −0.494771 | − | 0.120030i | −0.0489896 | − | 0.0118848i | ||||
\(103\) | 14.3420 | + | 2.76419i | 1.41316 | + | 0.272363i | 0.837995 | − | 0.545677i | \(-0.183728\pi\) |
0.575160 | + | 0.818041i | \(0.304940\pi\) | |||||||
\(104\) | −7.54592 | − | 6.53858i | −0.739939 | − | 0.641160i | ||||
\(105\) | −2.78748 | − | 1.96853i | −0.272031 | − | 0.192109i | ||||
\(106\) | 1.41039 | − | 0.644105i | 0.136989 | − | 0.0625610i | ||||
\(107\) | −6.42912 | + | 12.4708i | −0.621526 | + | 1.20559i | 0.342433 | + | 0.939542i | \(0.388749\pi\) |
−0.963959 | + | 0.266051i | \(0.914281\pi\) | |||||||
\(108\) | −1.18196 | − | 1.23961i | −0.113735 | − | 0.119281i | ||||
\(109\) | 4.77699 | − | 11.9323i | 0.457552 | − | 1.14291i | −0.502870 | − | 0.864362i | \(-0.667722\pi\) |
0.960422 | − | 0.278548i | \(-0.0898533\pi\) | |||||||
\(110\) | 0.237472 | + | 2.48692i | 0.0226421 | + | 0.237119i | ||||
\(111\) | 0.669647 | − | 4.65750i | 0.0635601 | − | 0.442070i | ||||
\(112\) | 3.64063 | + | 5.07035i | 0.344007 | + | 0.479103i | ||||
\(113\) | 13.8655 | − | 12.0145i | 1.30435 | − | 1.13023i | 0.321287 | − | 0.946982i | \(-0.395884\pi\) |
0.983067 | − | 0.183248i | \(-0.0586610\pi\) | |||||||
\(114\) | −1.76055 | + | 1.01645i | −0.164891 | + | 0.0951996i | ||||
\(115\) | −5.31850 | + | 3.15852i | −0.495953 | + | 0.294534i | ||||
\(116\) | −1.56522 | + | 2.71105i | −0.145327 | + | 0.251715i | ||||
\(117\) | −4.74209 | − | 1.64125i | −0.438406 | − | 0.151734i | ||||
\(118\) | −2.03277 | + | 3.16306i | −0.187132 | + | 0.291183i | ||||
\(119\) | 2.51346 | − | 0.00985682i | 0.230408 | − | 0.000903573i | ||||
\(120\) | 2.33446 | + | 1.06611i | 0.213106 | + | 0.0973224i | ||||
\(121\) | 1.62121 | − | 1.27493i | 0.147383 | − | 0.115903i | ||||
\(122\) | −2.47907 | + | 2.36379i | −0.224444 | + | 0.214007i | ||||
\(123\) | 0.418825 | + | 8.79223i | 0.0377642 | + | 0.792768i | ||||
\(124\) | −9.43053 | − | 6.71545i | −0.846886 | − | 0.603065i | ||||
\(125\) | 10.3168 | − | 3.02928i | 0.922762 | − | 0.270947i | ||||
\(126\) | −1.19581 | − | 0.761890i | −0.106531 | − | 0.0678746i | ||||
\(127\) | 8.00274 | − | 9.23565i | 0.710128 | − | 0.819531i | −0.279955 | − | 0.960013i | \(-0.590320\pi\) |
0.990083 | + | 0.140482i | \(0.0448651\pi\) | |||||||
\(128\) | −8.33044 | − | 7.94306i | −0.736314 | − | 0.702074i | ||||
\(129\) | 3.37493 | + | 0.322267i | 0.297146 | + | 0.0283740i | ||||
\(130\) | 3.46470 | − | 0.165044i | 0.303874 | − | 0.0144753i | ||||
\(131\) | 0.175430 | − | 0.0425590i | 0.0153274 | − | 0.00371839i | −0.228088 | − | 0.973641i | \(-0.573247\pi\) |
0.243415 | + | 0.969922i | \(0.421732\pi\) | |||||||
\(132\) | −0.880984 | − | 6.12738i | −0.0766798 | − | 0.533320i | ||||
\(133\) | 7.23634 | − | 6.95422i | 0.627470 | − | 0.603007i | ||||
\(134\) | 3.98927 | + | 0.573571i | 0.344621 | + | 0.0495490i | ||||
\(135\) | 1.28834 | + | 0.0613714i | 0.110883 | + | 0.00528201i | ||||
\(136\) | −1.85611 | + | 0.357735i | −0.159160 | + | 0.0306755i | ||||
\(137\) | −1.73479 | − | 1.00158i | −0.148213 | − | 0.0855708i | 0.424060 | − | 0.905634i | \(-0.360605\pi\) |
−0.572273 | + | 0.820064i | \(0.693938\pi\) | |||||||
\(138\) | −2.14489 | + | 1.41603i | −0.182586 | + | 0.120541i | ||||
\(139\) | − | 6.93593i | − | 0.588298i | −0.955760 | − | 0.294149i | \(-0.904964\pi\) | ||
0.955760 | − | 0.294149i | \(-0.0950362\pi\) | |||||||
\(140\) | −5.74359 | − | 1.08364i | −0.485422 | − | 0.0915845i | ||||
\(141\) | 3.08683 | + | 1.98379i | 0.259958 | + | 0.167065i | ||||
\(142\) | 3.63280 | − | 1.45435i | 0.304858 | − | 0.122047i | ||||
\(143\) | −10.5201 | − | 14.7734i | −0.879736 | − | 1.23542i | ||||
\(144\) | −2.19026 | − | 0.876847i | −0.182521 | − | 0.0730705i | ||||
\(145\) | −0.555768 | − | 2.29091i | −0.0461540 | − | 0.190249i | ||||
\(146\) | 0.131160 | + | 0.204090i | 0.0108549 | + | 0.0168906i | ||||
\(147\) | 6.63276 | + | 2.23752i | 0.547061 | + | 0.184548i | ||||
\(148\) | −2.27059 | − | 7.73291i | −0.186641 | − | 0.635641i | ||||
\(149\) | −3.18370 | + | 16.5186i | −0.260819 | + | 1.35326i | 0.581178 | + | 0.813776i | \(0.302592\pi\) |
−0.841997 | + | 0.539482i | \(0.818620\pi\) | |||||||
\(150\) | 1.68969 | − | 0.584807i | 0.137963 | − | 0.0477493i | ||||
\(151\) | 5.06015 | − | 20.8582i | 0.411789 | − | 1.69742i | −0.267507 | − | 0.963556i | \(-0.586200\pi\) |
0.679297 | − | 0.733864i | \(-0.262285\pi\) | |||||||
\(152\) | −4.37813 | + | 6.14823i | −0.355114 | + | 0.498687i | ||||
\(153\) | −0.799195 | + | 0.513611i | −0.0646111 | + | 0.0415230i | ||||
\(154\) | −1.92325 | − | 4.74999i | −0.154980 | − | 0.382765i | ||||
\(155\) | 8.62939 | − | 1.24072i | 0.693129 | − | 0.0996569i | ||||
\(156\) | −8.55602 | + | 0.817000i | −0.685030 | + | 0.0654124i | ||||
\(157\) | −9.01138 | − | 7.08663i | −0.719186 | − | 0.565574i | 0.190090 | − | 0.981767i | \(-0.439122\pi\) |
−0.909277 | + | 0.416192i | \(0.863364\pi\) | |||||||
\(158\) | 0.849171 | + | 1.64716i | 0.0675564 | + | 0.131041i | ||||
\(159\) | 0.946272 | − | 2.73407i | 0.0750443 | − | 0.216826i | ||||
\(160\) | 6.76354 | 0.534705 | ||||||||
\(161\) | 8.60597 | − | 9.32402i | 0.678245 | − | 0.734836i | ||||
\(162\) | 0.535915 | 0.0421055 | ||||||||
\(163\) | −4.97434 | + | 14.3724i | −0.389621 | + | 1.12573i | 0.564273 | + | 0.825589i | \(0.309157\pi\) |
−0.953893 | + | 0.300146i | \(0.902965\pi\) | |||||||
\(164\) | 6.90839 | + | 13.4004i | 0.539454 | + | 1.04640i | ||||
\(165\) | 3.66428 | + | 2.88162i | 0.285264 | + | 0.224334i | ||||
\(166\) | −2.97737 | + | 0.284305i | −0.231089 | + | 0.0220663i | ||||
\(167\) | 9.57976 | − | 1.37736i | 0.741304 | − | 0.106583i | 0.238692 | − | 0.971095i | \(-0.423281\pi\) |
0.502612 | + | 0.864512i | \(0.332372\pi\) | |||||||
\(168\) | −5.21368 | − | 0.728757i | −0.402244 | − | 0.0562248i | ||||
\(169\) | −10.2474 | + | 6.58559i | −0.788260 | + | 0.506584i | ||||
\(170\) | 0.380905 | − | 0.534906i | 0.0292141 | − | 0.0410254i | ||||
\(171\) | −0.894313 | + | 3.68641i | −0.0683898 | + | 0.281907i | ||||
\(172\) | 5.48749 | − | 1.89924i | 0.418417 | − | 0.144816i | ||||
\(173\) | −3.73898 | + | 19.3997i | −0.284270 | + | 1.47493i | 0.506193 | + | 0.862420i | \(0.331052\pi\) |
−0.790462 | + | 0.612511i | \(0.790160\pi\) | |||||||
\(174\) | −0.275953 | − | 0.939808i | −0.0209199 | − | 0.0712467i | ||||
\(175\) | −7.40722 | + | 4.80148i | −0.559933 | + | 0.362958i | ||||
\(176\) | −4.60995 | − | 7.17322i | −0.347488 | − | 0.540702i | ||||
\(177\) | 1.65406 | + | 6.81814i | 0.124327 | + | 0.512483i | ||||
\(178\) | 5.12455 | + | 2.05156i | 0.384101 | + | 0.153771i | ||||
\(179\) | 6.35917 | + | 8.93021i | 0.475307 | + | 0.667475i | 0.980724 | − | 0.195400i | \(-0.0626006\pi\) |
−0.505417 | + | 0.862875i | \(0.668661\pi\) | |||||||
\(180\) | 2.05092 | − | 0.821066i | 0.152867 | − | 0.0611986i | ||||
\(181\) | 8.27268 | + | 5.31653i | 0.614904 | + | 0.395175i | 0.810693 | − | 0.585471i | \(-0.199091\pi\) |
−0.195789 | + | 0.980646i | \(0.562727\pi\) | |||||||
\(182\) | −6.71462 | + | 2.35348i | −0.497721 | + | 0.174452i | ||||
\(183\) | 6.39166i | 0.472485i | ||||||||
\(184\) | −5.05989 | + | 8.09051i | −0.373020 | + | 0.596441i | ||||
\(185\) | 5.25594 | + | 3.03452i | 0.386425 | + | 0.223102i | ||||
\(186\) | 3.55693 | − | 0.685542i | 0.260807 | − | 0.0502664i | ||||
\(187\) | −3.42962 | − | 0.163373i | −0.250799 | − | 0.0119470i | ||||
\(188\) | 6.22083 | + | 0.894420i | 0.453701 | + | 0.0652323i | ||||
\(189\) | −2.56871 | + | 0.633838i | −0.186846 | + | 0.0461049i | ||||
\(190\) | −0.373157 | − | 2.59537i | −0.0270717 | − | 0.188288i | ||||
\(191\) | −6.44899 | + | 1.56451i | −0.466633 | + | 0.113204i | −0.462180 | − | 0.886786i | \(-0.652933\pi\) |
−0.00445283 | + | 0.999990i | \(0.501417\pi\) | |||||||
\(192\) | −1.90609 | + | 0.0907982i | −0.137560 | + | 0.00655280i | ||||
\(193\) | −16.3539 | − | 1.56161i | −1.17718 | − | 0.112407i | −0.511930 | − | 0.859027i | \(-0.671069\pi\) |
−0.665251 | + | 0.746620i | \(0.731675\pi\) | |||||||
\(194\) | −2.45060 | − | 2.33664i | −0.175943 | − | 0.167761i | ||||
\(195\) | 4.23848 | − | 4.89147i | 0.303524 | − | 0.350285i | ||||
\(196\) | 11.9260 | − | 1.23326i | 0.851855 | − | 0.0880896i | ||||
\(197\) | −6.22812 | + | 1.82874i | −0.443735 | + | 0.130292i | −0.495965 | − | 0.868343i | \(-0.665185\pi\) |
0.0522294 | + | 0.998635i | \(0.483367\pi\) | |||||||
\(198\) | 1.57776 | + | 1.12352i | 0.112126 | + | 0.0798448i | ||||
\(199\) | 0.531760 | + | 11.1630i | 0.0376955 | + | 0.791326i | 0.936010 | + | 0.351973i | \(0.114489\pi\) |
−0.898315 | + | 0.439353i | \(0.855208\pi\) | |||||||
\(200\) | 4.80457 | − | 4.58115i | 0.339735 | − | 0.323936i | ||||
\(201\) | 5.91143 | − | 4.64880i | 0.416960 | − | 0.327901i | ||||
\(202\) | 7.14026 | + | 3.26085i | 0.502387 | + | 0.229432i | ||||
\(203\) | 2.43420 | + | 4.17824i | 0.170848 | + | 0.293255i | ||||
\(204\) | −0.879711 | + | 1.36886i | −0.0615921 | + | 0.0958392i | ||||
\(205\) | −10.7287 | − | 3.71324i | −0.749325 | − | 0.259344i | ||||
\(206\) | −3.91377 | + | 6.77884i | −0.272685 | + | 0.472304i | ||||
\(207\) | −0.849604 | + | 4.71998i | −0.0590516 | + | 0.328061i | ||||
\(208\) | −10.2528 | + | 5.91946i | −0.710904 | + | 0.410441i | ||||
\(209\) | −10.3612 | + | 8.97807i | −0.716702 | + | 0.621026i | ||||
\(210\) | 1.48554 | − | 1.06665i | 0.102512 | − | 0.0736058i | ||||
\(211\) | 0.482005 | − | 3.35242i | 0.0331826 | − | 0.230790i | −0.966481 | − | 0.256739i | \(-0.917352\pi\) |
0.999663 | + | 0.0259495i | \(0.00826092\pi\) | |||||||
\(212\) | −0.471046 | − | 4.93301i | −0.0323516 | − | 0.338801i | ||||
\(213\) | 2.71378 | − | 6.77869i | 0.185945 | − | 0.464468i | ||||
\(214\) | −5.18879 | − | 5.44185i | −0.354699 | − | 0.371997i | ||||
\(215\) | −2.00374 | + | 3.88670i | −0.136654 | + | 0.265071i | ||||
\(216\) | 1.80993 | − | 0.826569i | 0.123150 | − | 0.0562409i | ||||
\(217\) | −16.2380 | + | 7.49273i | −1.10231 | + | 0.508640i | ||||
\(218\) | 5.20571 | + | 4.51077i | 0.352575 | + | 0.305508i | ||||
\(219\) | 0.444506 | + | 0.0856715i | 0.0300369 | + | 0.00578914i | ||||
\(220\) | 7.75933 | + | 1.88239i | 0.523134 | + | 0.126911i | ||||
\(221\) | −0.453151 | + | 4.74561i | −0.0304822 | + | 0.319224i | ||||
\(222\) | 2.24137 | + | 1.15551i | 0.150431 | + | 0.0775525i | ||||
\(223\) | −6.12559 | + | 20.8619i | −0.410200 | + | 1.39701i | 0.452711 | + | 0.891657i | \(0.350457\pi\) |
−0.862911 | + | 0.505356i | \(0.831361\pi\) | |||||||
\(224\) | −13.2965 | + | 3.96091i | −0.888410 | + | 0.264649i | ||||
\(225\) | 1.38599 | − | 3.03490i | 0.0923995 | − | 0.202327i | ||||
\(226\) | 3.65428 | + | 9.12795i | 0.243079 | + | 0.607182i | ||||
\(227\) | −1.23972 | + | 0.639119i | −0.0822830 | + | 0.0424198i | −0.498877 | − | 0.866673i | \(-0.666254\pi\) |
0.416594 | + | 0.909093i | \(0.363224\pi\) | |||||||
\(228\) | 1.22960 | + | 6.37979i | 0.0814325 | + | 0.422512i | ||||
\(229\) | −4.95830 | − | 8.58803i | −0.327654 | − | 0.567513i | 0.654392 | − | 0.756155i | \(-0.272925\pi\) |
−0.982046 | + | 0.188642i | \(0.939591\pi\) | |||||||
\(230\) | −0.667374 | − | 3.24713i | −0.0440053 | − | 0.214110i | ||||
\(231\) | −8.89119 | − | 3.51910i | −0.584997 | − | 0.231540i | ||||
\(232\) | −2.38148 | − | 2.74838i | −0.156352 | − | 0.180440i | ||||
\(233\) | −0.512167 | + | 10.7517i | −0.0335532 | + | 0.704368i | 0.917944 | + | 0.396710i | \(0.129848\pi\) |
−0.951497 | + | 0.307658i | \(0.900455\pi\) | |||||||
\(234\) | 1.66239 | − | 2.11390i | 0.108674 | − | 0.138190i | ||||
\(235\) | −3.85516 | + | 2.74524i | −0.251483 | + | 0.179080i | ||||
\(236\) | 7.42830 | + | 9.44586i | 0.483541 | + | 0.614873i | ||||
\(237\) | 3.31788 | + | 0.974217i | 0.215519 | + | 0.0632822i | ||||
\(238\) | −0.435569 | + | 1.27464i | −0.0282337 | + | 0.0826229i | ||||
\(239\) | −7.02493 | − | 15.3825i | −0.454405 | − | 0.995009i | −0.988727 | − | 0.149728i | \(-0.952160\pi\) |
0.534322 | − | 0.845281i | \(-0.320567\pi\) | |||||||
\(240\) | 2.09990 | − | 2.20231i | 0.135548 | − | 0.142158i | ||||
\(241\) | −8.72542 | − | 25.2104i | −0.562054 | − | 1.62395i | −0.764478 | − | 0.644650i | \(-0.777003\pi\) |
0.202424 | − | 0.979298i | \(-0.435118\pi\) | |||||||
\(242\) | 0.361511 | + | 1.04452i | 0.0232388 | + | 0.0671442i | ||||
\(243\) | 0.690079 | − | 0.723734i | 0.0442686 | − | 0.0464276i | ||||
\(244\) | 4.54780 | + | 9.95828i | 0.291143 | + | 0.637514i | ||||
\(245\) | −5.85880 | + | 6.86955i | −0.374305 | + | 0.438879i | ||||
\(246\) | −4.52615 | − | 1.32900i | −0.288577 | − | 0.0847338i | ||||
\(247\) | 11.7668 | + | 14.9627i | 0.748704 | + | 0.952055i | ||||
\(248\) | 10.9554 | − | 7.80130i | 0.695668 | − | 0.495383i | ||||
\(249\) | −3.44991 | + | 4.38692i | −0.218629 | + | 0.278010i | ||||
\(250\) | −0.274183 | + | 5.75581i | −0.0173409 | + | 0.364030i | ||||
\(251\) | −3.23201 | − | 3.72993i | −0.204002 | − | 0.235431i | 0.644524 | − | 0.764584i | \(-0.277055\pi\) |
−0.848527 | + | 0.529152i | \(0.822510\pi\) | |||||||
\(252\) | −3.55109 | + | 2.81521i | −0.223698 | + | 0.177342i | ||||
\(253\) | −12.3964 | + | 12.1147i | −0.779357 | + | 0.761643i | ||||
\(254\) | 3.27458 | + | 5.67174i | 0.205466 | + | 0.355877i | ||||
\(255\) | −0.231894 | − | 1.20318i | −0.0145217 | − | 0.0753459i | ||||
\(256\) | 2.09061 | − | 1.07778i | 0.130663 | − | 0.0673615i | ||||
\(257\) | −10.5484 | − | 26.3487i | −0.657994 | − | 1.64359i | −0.760878 | − | 0.648895i | \(-0.775231\pi\) |
0.102884 | − | 0.994693i | \(-0.467193\pi\) | |||||||
\(258\) | −0.754770 | + | 1.65272i | −0.0469899 | + | 0.102894i | ||||
\(259\) | −12.1098 | − | 2.88757i | −0.752466 | − | 0.179425i | ||||
\(260\) | 3.12323 | − | 10.6367i | 0.193694 | − | 0.659662i | ||||
\(261\) | −1.62451 | − | 0.837494i | −0.100555 | − | 0.0518396i | ||||
\(262\) | −0.00919600 | + | 0.0963049i | −0.000568131 | + | 0.00594973i | ||||
\(263\) | 14.2563 | + | 3.45853i | 0.879079 | + | 0.213262i | 0.649806 | − | 0.760100i | \(-0.274850\pi\) |
0.229273 | + | 0.973362i | \(0.426365\pi\) | |||||||
\(264\) | 7.06138 | + | 1.36097i | 0.434598 | + | 0.0837619i | ||||
\(265\) | 2.82020 | + | 2.44372i | 0.173244 | + | 0.150116i | ||||
\(266\) | 2.25351 | + | 4.88372i | 0.138171 | + | 0.299440i | ||||
\(267\) | 9.36925 | − | 4.27879i | 0.573389 | − | 0.261858i | ||||
\(268\) | 5.90236 | − | 11.4490i | 0.360544 | − | 0.699358i | ||||
\(269\) | 9.41951 | + | 9.87890i | 0.574318 | + | 0.602327i | 0.945256 | − | 0.326331i | \(-0.105812\pi\) |
−0.370938 | + | 0.928658i | \(0.620964\pi\) | |||||||
\(270\) | −0.256903 | + | 0.641712i | −0.0156346 | + | 0.0390534i | ||||
\(271\) | −0.835920 | − | 8.75415i | −0.0507785 | − | 0.531777i | −0.984695 | − | 0.174286i | \(-0.944238\pi\) |
0.933917 | − | 0.357491i | \(-0.116368\pi\) | |||||||
\(272\) | −0.318971 | + | 2.21849i | −0.0193404 | + | 0.134516i | ||||
\(273\) | −5.46789 | + | 12.0983i | −0.330932 | + | 0.732225i | ||||
\(274\) | 0.811316 | − | 0.703009i | 0.0490134 | − | 0.0424703i | ||||
\(275\) | 10.4429 | − | 6.02922i | 0.629732 | − | 0.363576i | ||||
\(276\) | 2.03467 | + | 7.95829i | 0.122472 | + | 0.479033i | ||||
\(277\) | −13.9852 | + | 24.2231i | −0.840290 | + | 1.45543i | 0.0493591 | + | 0.998781i | \(0.484282\pi\) |
−0.889649 | + | 0.456644i | \(0.849051\pi\) | |||||||
\(278\) | 3.51264 | + | 1.21574i | 0.210674 | + | 0.0729150i | ||||
\(279\) | 3.65433 | − | 5.68625i | 0.218779 | − | 0.340427i | ||||
\(280\) | 3.37192 | − | 5.89359i | 0.201511 | − | 0.352209i | ||||
\(281\) | −13.7623 | − | 6.28501i | −0.820987 | − | 0.374932i | −0.0397833 | − | 0.999208i | \(-0.512667\pi\) |
−0.781204 | + | 0.624276i | \(0.785394\pi\) | |||||||
\(282\) | −1.54573 | + | 1.21558i | −0.0920470 | + | 0.0723866i | ||||
\(283\) | −11.2257 | + | 10.7036i | −0.667296 | + | 0.636266i | −0.946021 | − | 0.324105i | \(-0.894937\pi\) |
0.278725 | + | 0.960371i | \(0.410088\pi\) | |||||||
\(284\) | −0.595076 | − | 12.4922i | −0.0353113 | − | 0.741275i | ||||
\(285\) | −3.98545 | − | 2.83802i | −0.236077 | − | 0.168110i | ||||
\(286\) | 9.32584 | − | 2.73831i | 0.551448 | − | 0.161920i | ||||
\(287\) | 23.2662 | + | 1.01688i | 1.37336 | + | 0.0600242i | ||||
\(288\) | 3.43399 | − | 3.96304i | 0.202350 | − | 0.233524i | ||||
\(289\) | −11.6503 | − | 11.1085i | −0.685312 | − | 0.653444i | ||||
\(290\) | 1.25762 | + | 0.120088i | 0.0738502 | + | 0.00705184i | ||||
\(291\) | −6.31110 | + | 0.300635i | −0.369964 | + | 0.0176235i | ||||
\(292\) | 0.753503 | − | 0.182798i | 0.0440954 | − | 0.0106974i | ||||
\(293\) | 0.192160 | + | 1.33650i | 0.0112261 | + | 0.0780794i | 0.994664 | − | 0.103164i | \(-0.0328968\pi\) |
−0.983438 | + | 0.181244i | \(0.941988\pi\) | |||||||
\(294\) | −2.29577 | + | 2.96690i | −0.133892 | + | 0.173033i | ||||
\(295\) | −8.95705 | − | 1.28783i | −0.521500 | − | 0.0749803i | ||||
\(296\) | 9.35192 | + | 0.445487i | 0.543569 | + | 0.0258934i | ||||
\(297\) | 3.54889 | − | 0.683993i | 0.205928 | − | 0.0396893i | ||||
\(298\) | −7.80766 | − | 4.50775i | −0.452285 | − | 0.261127i | ||||
\(299\) | 15.9824 | + | 17.9925i | 0.924285 | + | 1.04053i | ||||
\(300\) | − | 5.71457i | − | 0.329931i | ||||||
\(301\) | 1.66300 | − | 8.81434i | 0.0958538 | − | 0.508050i | ||||
\(302\) | 9.67651 | + | 6.21871i | 0.556821 | + | 0.357847i | ||||
\(303\) | 13.5979 | − | 5.44378i | 0.781179 | − | 0.312737i | ||||
\(304\) | 5.19119 | + | 7.29000i | 0.297735 | + | 0.418110i | ||||
\(305\) | −7.65346 | − | 3.06398i | −0.438236 | − | 0.175443i | ||||
\(306\) | −0.120030 | − | 0.494771i | −0.00686167 | − | 0.0282842i | ||||
\(307\) | 7.92043 | + | 12.3244i | 0.452043 | + | 0.703392i | 0.990232 | − | 0.139432i | \(-0.0445277\pi\) |
−0.538189 | + | 0.842824i | \(0.680891\pi\) | |||||||
\(308\) | −16.3565 | + | 0.843458i | −0.931998 | + | 0.0480605i | ||||
\(309\) | 4.11496 | + | 14.0143i | 0.234092 | + | 0.797244i | ||||
\(310\) | −0.884215 | + | 4.58775i | −0.0502201 | + | 0.260566i | ||||
\(311\) | 17.1683 | − | 5.94201i | 0.973526 | − | 0.336941i | 0.206422 | − | 0.978463i | \(-0.433818\pi\) |
0.767104 | + | 0.641523i | \(0.221697\pi\) | |||||||
\(312\) | 2.35398 | − | 9.70323i | 0.133268 | − | 0.549337i | ||||
\(313\) | −17.2207 | + | 24.1831i | −0.973371 | + | 1.36691i | −0.0434874 | + | 0.999054i | \(0.513847\pi\) |
−0.929883 | + | 0.367854i | \(0.880093\pi\) | |||||||
\(314\) | 5.16847 | − | 3.32158i | 0.291674 | − | 0.187447i | ||||
\(315\) | 0.472400 | − | 3.37965i | 0.0266167 | − | 0.190422i | ||||
\(316\) | 5.86247 | − | 0.842896i | 0.329790 | − | 0.0474166i | ||||
\(317\) | −32.2418 | + | 3.07872i | −1.81088 | + | 0.172918i | −0.944942 | − | 0.327237i | \(-0.893883\pi\) |
−0.865936 | + | 0.500155i | \(0.833276\pi\) | |||||||
\(318\) | 1.21878 | + | 0.958461i | 0.0683459 | + | 0.0537478i | ||||
\(319\) | −3.02687 | − | 5.87131i | −0.169472 | − | 0.328731i | ||||
\(320\) | 0.805003 | − | 2.32590i | 0.0450010 | − | 0.130022i | ||||
\(321\) | −14.0304 | −0.783103 | ||||||||
\(322\) | 3.21360 | + | 5.99273i | 0.179087 | + | 0.333962i | ||||
\(323\) | 3.60369 | 0.200515 | ||||||||
\(324\) | 0.560200 | − | 1.61859i | 0.0311222 | − | 0.0899218i | ||||
\(325\) | −7.67178 | − | 14.8812i | −0.425554 | − | 0.825459i | ||||
\(326\) | −6.40687 | − | 5.03842i | −0.354844 | − | 0.279052i | ||||
\(327\) | 12.7948 | − | 1.22176i | 0.707556 | − | 0.0675634i | ||||
\(328\) | −17.3359 | + | 2.49252i | −0.957212 | + | 0.137626i | ||||
\(329\) | 5.97119 | − | 7.65457i | 0.329202 | − | 0.422010i | ||||
\(330\) | −2.10165 | + | 1.35065i | −0.115692 | + | 0.0743507i | ||||
\(331\) | 0.822201 | − | 1.15462i | 0.0451922 | − | 0.0634636i | −0.791362 | − | 0.611348i | \(-0.790627\pi\) |
0.836554 | + | 0.547885i | \(0.184567\pi\) | |||||||
\(332\) | −2.25362 | + | 9.28956i | −0.123684 | + | 0.509831i | ||||
\(333\) | 4.44660 | − | 1.53898i | 0.243672 | − | 0.0843358i | ||||
\(334\) | −0.981596 | + | 5.09300i | −0.0537105 | + | 0.278677i | ||||
\(335\) | 2.73276 | + | 9.30693i | 0.149307 | + | 0.508492i | ||||
\(336\) | −2.83847 | + | 5.55929i | −0.154851 | + | 0.303284i | ||||
\(337\) | −13.0759 | − | 20.3464i | −0.712288 | − | 1.10834i | −0.989075 | − | 0.147410i | \(-0.952906\pi\) |
0.276788 | − | 0.960931i | \(-0.410730\pi\) | |||||||
\(338\) | −1.53904 | − | 6.34402i | −0.0837129 | − | 0.345069i | ||||
\(339\) | 17.0324 | + | 6.81876i | 0.925075 | + | 0.370344i | ||||
\(340\) | −1.21738 | − | 1.70957i | −0.0660217 | − | 0.0927144i | ||||
\(341\) | 22.6794 | − | 9.07947i | 1.22816 | − | 0.491681i | ||||
\(342\) | −1.71019 | − | 1.09907i | −0.0924765 | − | 0.0594310i | ||||
\(343\) | 7.49487 | − | 16.9360i | 0.404685 | − | 0.914456i | ||||
\(344\) | 6.74580i | 0.363709i | ||||||||
\(345\) | −5.24449 | − | 3.27995i | −0.282354 | − | 0.176587i | ||||
\(346\) | −9.16942 | − | 5.29396i | −0.492951 | − | 0.284605i | ||||
\(347\) | 4.37026 | − | 0.842299i | 0.234608 | − | 0.0452170i | −0.0705919 | − | 0.997505i | \(-0.522489\pi\) |
0.305200 | + | 0.952288i | \(0.401277\pi\) | |||||||
\(348\) | −3.12690 | − | 0.148953i | −0.167620 | − | 0.00798471i | ||||
\(349\) | 0.978539 | + | 0.140693i | 0.0523800 | + | 0.00753111i | 0.168455 | − | 0.985709i | \(-0.446122\pi\) |
−0.116075 | + | 0.993240i | \(0.537031\pi\) | |||||||
\(350\) | −1.13332 | − | 4.59292i | −0.0605785 | − | 0.245502i | ||||
\(351\) | −0.714147 | − | 4.96700i | −0.0381183 | − | 0.265119i | ||||
\(352\) | 18.4181 | − | 4.46818i | 0.981688 | − | 0.238155i | ||||
\(353\) | −32.3847 | + | 1.54267i | −1.72366 | + | 0.0821082i | −0.885886 | − | 0.463903i | \(-0.846449\pi\) |
−0.837778 | + | 0.546011i | \(0.816146\pi\) | |||||||
\(354\) | −3.74291 | − | 0.357405i | −0.198933 | − | 0.0189958i | ||||
\(355\) | 6.81598 | + | 6.49903i | 0.361755 | + | 0.344932i | ||||
\(356\) | 11.5530 | − | 13.3328i | 0.612306 | − | 0.706639i | ||||
\(357\) | 1.16049 | + | 2.22953i | 0.0614199 | + | 0.117999i | ||||
\(358\) | −5.63726 | + | 1.65525i | −0.297939 | + | 0.0874826i | ||||
\(359\) | −16.5597 | − | 11.7921i | −0.873988 | − | 0.622364i | 0.0525281 | − | 0.998619i | \(-0.483272\pi\) |
−0.926516 | + | 0.376256i | \(0.877211\pi\) | |||||||
\(360\) | 0.122113 | + | 2.56347i | 0.00643594 | + | 0.135107i | ||||
\(361\) | −3.33685 | + | 3.18168i | −0.175624 | + | 0.167457i | ||||
\(362\) | −4.14255 | + | 3.25774i | −0.217728 | + | 0.171223i | ||||
\(363\) | 1.87609 | + | 0.856781i | 0.0984691 | + | 0.0449693i | ||||
\(364\) | 0.0891771 | + | 22.7399i | 0.00467415 | + | 1.19189i | ||||
\(365\) | −0.315668 | + | 0.491189i | −0.0165228 | + | 0.0257100i | ||||
\(366\) | −3.23699 | − | 1.12033i | −0.169200 | − | 0.0585608i | ||||
\(367\) | −18.6791 | + | 32.3531i | −0.975040 | + | 1.68882i | −0.295235 | + | 0.955425i | \(0.595398\pi\) |
−0.679804 | + | 0.733394i | \(0.737935\pi\) | |||||||
\(368\) | 7.10312 | + | 8.80713i | 0.370276 | + | 0.459104i | ||||
\(369\) | −7.62293 | + | 4.40110i | −0.396834 | + | 0.229112i | ||||
\(370\) | −2.45807 | + | 2.12993i | −0.127789 | + | 0.110730i | ||||
\(371\) | −6.97536 | − | 3.15254i | −0.362143 | − | 0.163672i | ||||
\(372\) | 1.64761 | − | 11.4594i | 0.0854246 | − | 0.594141i | ||||
\(373\) | 0.790097 | + | 8.27427i | 0.0409097 | + | 0.428425i | 0.992606 | + | 0.121384i | \(0.0387331\pi\) |
−0.951696 | + | 0.307042i | \(0.900661\pi\) | |||||||
\(374\) | 0.683886 | − | 1.70826i | 0.0353629 | − | 0.0883322i | ||||
\(375\) | 7.41996 | + | 7.78183i | 0.383165 | + | 0.401852i | ||||
\(376\) | −3.34552 | + | 6.48940i | −0.172532 | + | 0.334665i | ||||
\(377\) | −8.34266 | + | 3.80996i | −0.429669 | + | 0.196223i | ||||
\(378\) | 0.129244 | − | 1.41200i | 0.00664757 | − | 0.0726252i | ||||
\(379\) | 21.1450 | + | 18.3222i | 1.08614 | + | 0.941148i | 0.998486 | − | 0.0550023i | \(-0.0175166\pi\) |
0.0876569 | + | 0.996151i | \(0.472062\pi\) | |||||||
\(380\) | −8.22869 | − | 1.58595i | −0.422123 | − | 0.0813575i | ||||
\(381\) | 11.8760 | + | 2.88110i | 0.608428 | + | 0.147603i | ||||
\(382\) | 0.338054 | − | 3.54026i | 0.0172963 | − | 0.181135i | ||||
\(383\) | 3.81425 | + | 1.96638i | 0.194899 | + | 0.100478i | 0.552914 | − | 0.833238i | \(-0.313516\pi\) |
−0.358015 | + | 0.933716i | \(0.616546\pi\) | |||||||
\(384\) | 3.24284 | − | 11.0441i | 0.165486 | − | 0.563592i | ||||
\(385\) | 8.47601 | − | 8.95947i | 0.431977 | − | 0.456617i | ||||
\(386\) | 3.65739 | − | 8.00857i | 0.186156 | − | 0.407625i | ||||
\(387\) | 1.26004 | + | 3.14743i | 0.0640515 | + | 0.159993i | ||||
\(388\) | −9.61887 | + | 4.95887i | −0.488324 | + | 0.251749i | ||||
\(389\) | 6.26353 | + | 32.4983i | 0.317573 | + | 1.64773i | 0.693045 | + | 0.720894i | \(0.256269\pi\) |
−0.375472 | + | 0.926834i | \(0.622519\pi\) | |||||||
\(390\) | 1.73431 | + | 3.00392i | 0.0878204 | + | 0.152109i | ||||
\(391\) | 4.54789 | − | 0.272767i | 0.229997 | − | 0.0137944i | ||||
\(392\) | −3.17744 | + | 13.5609i | −0.160485 | + | 0.684930i | ||||
\(393\) | 0.118215 | + | 0.136427i | 0.00596315 | + | 0.00688184i | ||||
\(394\) | 0.165521 | − | 3.47472i | 0.00833883 | − | 0.175054i | ||||
\(395\) | −2.75704 | + | 3.50586i | −0.138722 | + | 0.176399i | ||||
\(396\) | 5.04254 | − | 3.59078i | 0.253397 | − | 0.180443i | ||||
\(397\) | 2.09146 | + | 2.65950i | 0.104967 | + | 0.133477i | 0.835698 | − | 0.549189i | \(-0.185063\pi\) |
−0.730731 | + | 0.682665i | \(0.760821\pi\) | |||||||
\(398\) | −5.74661 | − | 1.68736i | −0.288052 | − | 0.0845796i | ||||
\(399\) | 9.49704 | + | 3.24531i | 0.475447 | + | 0.162469i | ||||
\(400\) | −3.26991 | − | 7.16010i | −0.163495 | − | 0.358005i | ||||
\(401\) | 9.12604 | − | 9.57112i | 0.455733 | − | 0.477959i | −0.455273 | − | 0.890352i | \(-0.650458\pi\) |
0.911006 | + | 0.412393i | \(0.135307\pi\) | |||||||
\(402\) | 1.31818 | + | 3.80863i | 0.0657448 | + | 0.189957i | ||||
\(403\) | −11.0936 | − | 32.0530i | −0.552614 | − | 1.59667i | ||||
\(404\) | 17.3123 | − | 18.1567i | 0.861321 | − | 0.903328i | ||||
\(405\) | 0.535804 | + | 1.17325i | 0.0266243 | + | 0.0582992i | ||||
\(406\) | −2.54270 | + | 0.500415i | −0.126192 | + | 0.0248352i | ||||
\(407\) | 16.3174 | + | 4.79121i | 0.808822 | + | 0.237492i | ||||
\(408\) | −1.16849 | − | 1.48585i | −0.0578486 | − | 0.0735605i | ||||
\(409\) | −8.76142 | + | 6.23898i | −0.433224 | + | 0.308498i | −0.775784 | − | 0.630998i | \(-0.782645\pi\) |
0.342560 | + | 0.939496i | \(0.388706\pi\) | |||||||
\(410\) | 3.76107 | − | 4.78259i | 0.185746 | − | 0.236195i | ||||
\(411\) | 0.0953142 | − | 2.00089i | 0.00470150 | − | 0.0986967i | ||||
\(412\) | 16.3826 | + | 18.9065i | 0.807113 | + | 0.931458i | ||||
\(413\) | 18.3629 | − | 2.71373i | 0.903580 | − | 0.133534i | ||||
\(414\) | −2.24147 | − | 1.25760i | −0.110162 | − | 0.0618074i | ||||
\(415\) | −3.59917 | − | 6.23394i | −0.176676 | − | 0.306012i | ||||
\(416\) | −4.97996 | − | 25.8385i | −0.244163 | − | 1.26684i | ||||
\(417\) | 6.16490 | − | 3.17823i | 0.301896 | − | 0.155638i | ||||
\(418\) | −2.73073 | − | 6.82104i | −0.133564 | − | 0.333628i | ||||
\(419\) | 11.3200 | − | 24.7873i | 0.553018 | − | 1.21094i | −0.402341 | − | 0.915490i | \(-0.631803\pi\) |
0.955358 | − | 0.295449i | \(-0.0954694\pi\) | |||||||
\(420\) | −1.66868 | − | 5.60166i | −0.0814234 | − | 0.273333i | ||||
\(421\) | 11.0155 | − | 37.5154i | 0.536863 | − | 1.82839i | −0.0229018 | − | 0.999738i | \(-0.507290\pi\) |
0.559765 | − | 0.828651i | \(-0.310891\pi\) | |||||||
\(422\) | 1.61331 | + | 0.831721i | 0.0785348 | + | 0.0404875i | ||||
\(423\) | −0.348792 | + | 3.65271i | −0.0169588 | + | 0.177601i | ||||
\(424\) | 5.59445 | + | 1.35720i | 0.271690 | + | 0.0659114i | ||||
\(425\) | −3.11232 | − | 0.599851i | −0.150970 | − | 0.0290970i | ||||
\(426\) | 2.95733 | + | 2.56254i | 0.143283 | + | 0.124155i | ||||
\(427\) | 16.8403 | + | 1.54144i | 0.814961 | + | 0.0745954i | ||||
\(428\) | −21.8596 | + | 9.98295i | −1.05662 | + | 0.482544i | ||||
\(429\) | 8.31056 | − | 16.1202i | 0.401237 | − | 0.778292i | ||||
\(430\) | −1.61717 | − | 1.69604i | −0.0779868 | − | 0.0817902i | ||||
\(431\) | 11.6215 | − | 29.0290i | 0.559786 | − | 1.39828i | −0.330904 | − | 0.943665i | \(-0.607354\pi\) |
0.890689 | − | 0.454612i | \(-0.150222\pi\) | |||||||
\(432\) | −0.224261 | − | 2.34857i | −0.0107898 | − | 0.112996i | ||||
\(433\) | 4.69904 | − | 32.6825i | 0.225821 | − | 1.57062i | −0.489612 | − | 0.871941i | \(-0.662861\pi\) |
0.715433 | − | 0.698681i | \(-0.246230\pi\) | |||||||
\(434\) | −0.948419 | − | 9.53690i | −0.0455256 | − | 0.457786i | ||||
\(435\) | 1.78157 | − | 1.54374i | 0.0854198 | − | 0.0740167i | ||||
\(436\) | 19.0652 | − | 11.0073i | 0.913057 | − | 0.527154i | ||||
\(437\) | 12.3911 | − | 13.3198i | 0.592747 | − | 0.637172i | ||||
\(438\) | −0.121301 | + | 0.210099i | −0.00579598 | + | 0.0100389i | ||||
\(439\) | −2.55633 | − | 0.884756i | −0.122007 | − | 0.0422271i | 0.265382 | − | 0.964143i | \(-0.414502\pi\) |
−0.387389 | + | 0.921916i | \(0.626623\pi\) | |||||||
\(440\) | −5.01467 | + | 7.80299i | −0.239065 | + | 0.371993i | ||||
\(441\) | 1.05052 | + | 6.92072i | 0.0500246 | + | 0.329558i | ||||
\(442\) | −2.32394 | − | 1.06131i | −0.110539 | − | 0.0504813i | ||||
\(443\) | 3.89346 | − | 3.06185i | 0.184984 | − | 0.145473i | −0.521373 | − | 0.853329i | \(-0.674580\pi\) |
0.706357 | + | 0.707856i | \(0.250338\pi\) | |||||||
\(444\) | 5.83284 | − | 5.56160i | 0.276814 | − | 0.263942i | ||||
\(445\) | 0.632128 | + | 13.2700i | 0.0299657 | + | 0.629058i | ||||
\(446\) | −9.49159 | − | 6.75893i | −0.449440 | − | 0.320045i | ||||
\(447\) | −16.1412 | + | 4.73948i | −0.763452 | + | 0.224170i | ||||
\(448\) | −0.220451 | + | 5.04394i | −0.0104153 | + | 0.238304i | ||||
\(449\) | −24.1106 | + | 27.8251i | −1.13785 | + | 1.31315i | −0.194667 | + | 0.980869i | \(0.562363\pi\) |
−0.943182 | + | 0.332278i | \(0.892183\pi\) | |||||||
\(450\) | 1.29406 | + | 1.23388i | 0.0610025 | + | 0.0581657i | ||||
\(451\) | −31.6689 | − | 3.02401i | −1.49123 | − | 0.142395i | ||||
\(452\) | 31.3885 | − | 1.49522i | 1.47639 | − | 0.0703291i | ||||
\(453\) | 20.8582 | − | 5.06015i | 0.980006 | − | 0.237747i | ||||
\(454\) | −0.106377 | − | 0.739869i | −0.00499253 | − | 0.0347238i | ||||
\(455\) | −11.8656 | − | 12.3469i | −0.556266 | − | 0.578833i | ||||
\(456\) | −7.47094 | − | 1.07416i | −0.349859 | − | 0.0503021i | ||||
\(457\) | −26.3782 | − | 1.25655i | −1.23392 | − | 0.0587788i | −0.579539 | − | 0.814945i | \(-0.696767\pi\) |
−0.654380 | + | 0.756166i | \(0.727070\pi\) | |||||||
\(458\) | 5.21842 | − | 1.00577i | 0.243841 | − | 0.0469965i | ||||
\(459\) | −0.822728 | − | 0.475002i | −0.0384017 | − | 0.0221712i | ||||
\(460\) | −10.5047 | − | 1.37865i | −0.489786 | − | 0.0642798i | ||||
\(461\) | − | 0.404447i | − | 0.0188370i | −0.999956 | − | 0.00941850i | \(-0.997002\pi\) | ||
0.999956 | − | 0.00941850i | \(-0.00299805\pi\) | |||||||
\(462\) | 3.34067 | − | 3.88603i | 0.155422 | − | 0.180794i | ||||
\(463\) | 25.1683 | + | 16.1747i | 1.16967 | + | 0.751700i | 0.973459 | − | 0.228862i | \(-0.0735003\pi\) |
0.196210 | + | 0.980562i | \(0.437137\pi\) | |||||||
\(464\) | −4.00310 | + | 1.60260i | −0.185839 | + | 0.0743988i | ||||
\(465\) | 5.05701 | + | 7.10158i | 0.234513 | + | 0.329328i | ||||
\(466\) | −5.35533 | − | 2.14395i | −0.248081 | − | 0.0993166i | ||||
\(467\) | −5.52192 | − | 22.7617i | −0.255524 | − | 1.05328i | −0.944503 | − | 0.328503i | \(-0.893456\pi\) |
0.688979 | − | 0.724782i | \(-0.258059\pi\) | |||||||
\(468\) | −4.64677 | − | 7.23052i | −0.214797 | − | 0.334231i | ||||
\(469\) | −10.8227 | − | 16.6962i | −0.499747 | − | 0.770958i | ||||
\(470\) | −0.714568 | − | 2.43360i | −0.0329606 | − | 0.112253i | ||||
\(471\) | 2.16959 | − | 11.2569i | 0.0999695 | − | 0.518691i | ||||
\(472\) | −13.1921 | + | 4.56583i | −0.607215 | + | 0.210159i | ||||
\(473\) | −2.88880 | + | 11.9078i | −0.132827 | + | 0.547520i | ||||
\(474\) | −1.07494 | + | 1.50955i | −0.0493738 | + | 0.0693357i | ||||
\(475\) | −10.6470 | + | 6.84240i | −0.488517 | + | 0.313951i | ||||
\(476\) | 3.39442 | + | 2.64793i | 0.155583 | + | 0.121368i | ||||
\(477\) | 2.86375 | − | 0.411745i | 0.131122 | − | 0.0188525i | ||||
\(478\) | 9.02164 | − | 0.861462i | 0.412640 | − | 0.0394023i | ||||
\(479\) | 24.3595 | + | 19.1565i | 1.11301 | + | 0.875284i | 0.993073 | − | 0.117497i | \(-0.0374872\pi\) |
0.119941 | + | 0.992781i | \(0.461730\pi\) | |||||||
\(480\) | 3.09923 | + | 6.01168i | 0.141460 | + | 0.274394i | ||||
\(481\) | 7.72273 | − | 22.3134i | 0.352126 | − | 1.01740i | ||||
\(482\) | 14.2970 | 0.651210 | ||||||||
\(483\) | 12.2310 | + | 3.37677i | 0.556530 | + | 0.153648i | ||||
\(484\) | 3.53259 | 0.160572 | ||||||||
\(485\) | 2.66538 | − | 7.70112i | 0.121029 | − | 0.349690i | ||||
\(486\) | 0.245571 | + | 0.476341i | 0.0111393 | + | 0.0216072i | ||||
\(487\) | −10.9534 | − | 8.61386i | −0.496346 | − | 0.390331i | 0.338368 | − | 0.941014i | \(-0.390125\pi\) |
−0.834715 | + | 0.550683i | \(0.814367\pi\) | |||||||
\(488\) | −12.6602 | + | 1.20890i | −0.573099 | + | 0.0547243i | ||||
\(489\) | −15.0541 | + | 2.16445i | −0.680770 | + | 0.0978799i | ||||
\(490\) | −2.45208 | − | 4.17123i | −0.110774 | − | 0.188437i | ||||
\(491\) | 7.55370 | − | 4.85447i | 0.340894 | − | 0.219079i | −0.358981 | − | 0.933345i | \(-0.616876\pi\) |
0.699874 | + | 0.714266i | \(0.253239\pi\) | |||||||
\(492\) | −8.74515 | + | 12.2808i | −0.394262 | + | 0.553663i | ||||
\(493\) | −0.409351 | + | 1.68737i | −0.0184362 | + | 0.0759951i | ||||
\(494\) | −9.64022 | + | 3.33651i | −0.433734 | + | 0.150117i | ||||
\(495\) | −0.882217 | + | 4.57738i | −0.0396527 | + | 0.205738i | ||||
\(496\) | −4.49274 | − | 15.3009i | −0.201730 | − | 0.687029i | ||||
\(497\) | −17.2056 | − | 8.78486i | −0.771776 | − | 0.394055i | ||||
\(498\) | −1.61701 | − | 2.51612i | −0.0724600 | − | 0.112750i | ||||
\(499\) | −1.75441 | − | 7.23180i | −0.0785384 | − | 0.323740i | 0.918967 | − | 0.394335i | \(-0.129025\pi\) |
−0.997505 | + | 0.0705956i | \(0.977510\pi\) | |||||||
\(500\) | 17.0973 | + | 6.84474i | 0.764616 | + | 0.306106i | ||||
\(501\) | 5.61395 | + | 7.88369i | 0.250813 | + | 0.352217i | ||||
\(502\) | 2.45550 | − | 0.983033i | 0.109594 | − | 0.0438749i | ||||
\(503\) | −16.0118 | − | 10.2902i | −0.713933 | − | 0.458817i | 0.132589 | − | 0.991171i | \(-0.457671\pi\) |
−0.846522 | + | 0.532354i | \(0.821307\pi\) | |||||||
\(504\) | −1.74130 | − | 4.96804i | −0.0775638 | − | 0.221294i | ||||
\(505\) | 18.8919i | 0.840679i | ||||||||
\(506\) | −3.96250 | − | 8.40153i | −0.176155 | − | 0.373493i | ||||
\(507\) | −10.5491 | − | 6.09054i | −0.468503 | − | 0.270491i | ||||
\(508\) | 20.5530 | − | 3.96126i | 0.911891 | − | 0.175753i | ||||
\(509\) | 22.7809 | + | 1.08519i | 1.00975 | + | 0.0481002i | 0.545930 | − | 0.837831i | \(-0.316177\pi\) |
0.463817 | + | 0.885931i | \(0.346480\pi\) | |||||||
\(510\) | 0.649985 | + | 0.0934537i | 0.0287818 | + | 0.00413820i | ||||
\(511\) | 0.332921 | − | 1.15050i | 0.0147275 | − | 0.0508949i | ||||
\(512\) | −3.09680 | − | 21.5387i | −0.136861 | − | 0.951886i | ||||
\(513\) | −3.68641 | + | 0.894313i | −0.162759 | + | 0.0394849i | ||||
\(514\) | 15.1930 | − | 0.723732i | 0.670135 | − | 0.0319225i | ||||
\(515\) | −18.7535 | − | 1.79074i | −0.826377 | − | 0.0789094i | ||||
\(516\) | 4.20262 | + | 4.00719i | 0.185010 | + | 0.176407i | ||||
\(517\) | −8.68456 | + | 10.0225i | −0.381946 | + | 0.440790i | ||||
\(518\) | 3.58499 | − | 5.62675i | 0.157516 | − | 0.247225i | ||||
\(519\) | −18.9564 | + | 5.56611i | −0.832095 | + | 0.244325i | ||||
\(520\) | 10.4904 | + | 7.47015i | 0.460032 | + | 0.327588i | ||||
\(521\) | 0.996066 | + | 20.9100i | 0.0436385 | + | 0.916084i | 0.909475 | + | 0.415758i | \(0.136484\pi\) |
−0.865837 | + | 0.500326i | \(0.833213\pi\) | |||||||
\(522\) | 0.708886 | − | 0.675922i | 0.0310271 | − | 0.0295843i | ||||
\(523\) | 1.74706 | − | 1.37390i | 0.0763937 | − | 0.0600767i | −0.579232 | − | 0.815163i | \(-0.696647\pi\) |
0.655626 | + | 0.755086i | \(0.272405\pi\) | |||||||
\(524\) | 0.281251 | + | 0.128443i | 0.0122865 | + | 0.00561106i | ||||
\(525\) | −7.66191 | − | 4.38363i | −0.334393 | − | 0.191317i | ||||
\(526\) | −4.25039 | + | 6.61374i | −0.185326 | + | 0.288373i | ||||
\(527\) | −6.06816 | − | 2.10021i | −0.264333 | − | 0.0914866i | ||||
\(528\) | 4.26341 | − | 7.38445i | 0.185541 | − | 0.321367i | ||||
\(529\) | 14.6295 | − | 17.7476i | 0.636066 | − | 0.771635i | ||||
\(530\) | −1.73192 | + | 0.999927i | −0.0752300 | + | 0.0434341i | ||||
\(531\) | −5.30227 | + | 4.59445i | −0.230099 | + | 0.199382i | ||||
\(532\) | 17.1056 | − | 1.70111i | 0.741622 | − | 0.0737523i | ||||
\(533\) | −6.28606 | + | 43.7205i | −0.272280 | + | 1.89375i | ||||
\(534\) | 0.524705 | + | 5.49496i | 0.0227062 | + | 0.237790i | ||||
\(535\) | 6.72580 | − | 16.8002i | 0.290782 | − | 0.726338i | ||||
\(536\) | 10.3261 | + | 10.8297i | 0.446020 | + | 0.467772i | ||||
\(537\) | −5.02355 | + | 9.74432i | −0.216782 | + | 0.420498i | ||||
\(538\) | −6.65413 | + | 3.03884i | −0.286880 | + | 0.131014i | ||||
\(539\) | −11.4161 | + | 22.5773i | −0.491728 | + | 0.972471i | ||||
\(540\) | 1.66958 | + | 1.44670i | 0.0718473 | + | 0.0622560i | ||||
\(541\) | 30.2957 | + | 5.83901i | 1.30251 | + | 0.251039i | 0.792893 | − | 0.609361i | \(-0.208574\pi\) |
0.509619 | + | 0.860400i | \(0.329786\pi\) | |||||||
\(542\) | 4.57998 | + | 1.11109i | 0.196727 | + | 0.0477254i | ||||
\(543\) | −0.934758 | + | 9.78923i | −0.0401143 | + | 0.420096i | ||||
\(544\) | −4.42790 | − | 2.28274i | −0.189844 | − | 0.0978716i | ||||
\(545\) | −4.67053 | + | 15.9064i | −0.200064 | + | 0.681354i | ||||
\(546\) | −5.16867 | − | 4.88977i | −0.221199 | − | 0.209263i | ||||
\(547\) | −9.52654 | + | 20.8602i | −0.407325 | + | 0.891918i | 0.589149 | + | 0.808024i | \(0.299463\pi\) |
−0.996475 | + | 0.0838941i | \(0.973264\pi\) | |||||||
\(548\) | −1.27517 | − | 3.18523i | −0.0544728 | − | 0.136066i | ||||
\(549\) | −5.68113 | + | 2.92883i | −0.242465 | + | 0.124999i | ||||
\(550\) | 1.22300 | + | 6.34552i | 0.0521489 | + | 0.270574i | ||||
\(551\) | 3.46651 | + | 6.00417i | 0.147678 | + | 0.255786i | ||||
\(552\) | −9.50971 | − | 0.790117i | −0.404760 | − | 0.0336296i | ||||
\(553\) | 3.36696 | − | 8.50679i | 0.143178 | − | 0.361745i | ||||
\(554\) | −9.81622 | − | 11.3285i | −0.417051 | − | 0.481303i | ||||
\(555\) | −0.288776 | + | 6.06216i | −0.0122579 | + | 0.257325i | ||||
\(556\) | 7.34362 | − | 9.33817i | 0.311439 | − | 0.396027i | ||||
\(557\) | −35.1320 | + | 25.0174i | −1.48859 | + | 1.06002i | −0.508594 | + | 0.861007i | \(0.669835\pi\) |
−0.979997 | + | 0.199014i | \(0.936226\pi\) | |||||||
\(558\) | 2.23921 | + | 2.84739i | 0.0947935 | + | 0.120540i | ||||
\(559\) | 16.3236 | + | 4.79303i | 0.690413 | + | 0.202724i | ||||
\(560\) | −5.29608 | − | 6.06379i | −0.223800 | − | 0.256242i | ||||
\(561\) | −1.42633 | − | 3.12323i | −0.0602198 | − | 0.131863i | ||||
\(562\) | 5.59524 | − | 5.86812i | 0.236021 | − | 0.247532i | ||||
\(563\) | −8.38729 | − | 24.2335i | −0.353482 | − | 1.02132i | −0.971885 | − | 0.235458i | \(-0.924341\pi\) |
0.618403 | − | 0.785861i | \(-0.287780\pi\) | |||||||
\(564\) | 2.05556 | + | 5.93914i | 0.0865546 | + | 0.250083i | ||||
\(565\) | −16.3298 | + | 17.1262i | −0.686998 | + | 0.720503i | ||||
\(566\) | −3.45312 | − | 7.56127i | −0.145145 | − | 0.317824i | ||||
\(567\) | −1.74043 | − | 1.99272i | −0.0730910 | − | 0.0836862i | ||||
\(568\) | 13.9400 | + | 4.09317i | 0.584911 | + | 0.171746i | ||||
\(569\) | 6.52654 | + | 8.29917i | 0.273607 | + | 0.347919i | 0.903365 | − | 0.428872i | \(-0.141089\pi\) |
−0.629759 | + | 0.776791i | \(0.716846\pi\) | |||||||
\(570\) | 2.13586 | − | 1.52094i | 0.0894614 | − | 0.0637052i | ||||
\(571\) | 3.29464 | − | 4.18947i | 0.137876 | − | 0.175324i | −0.712212 | − | 0.701965i | \(-0.752306\pi\) |
0.850088 | + | 0.526641i | \(0.176549\pi\) | |||||||
\(572\) | 1.47808 | − | 31.0287i | 0.0618015 | − | 1.29737i | ||||
\(573\) | −4.34569 | − | 5.01519i | −0.181544 | − | 0.209513i | ||||
\(574\) | −4.59311 | + | 11.6047i | −0.191713 | + | 0.484371i | ||||
\(575\) | −12.9187 | + | 9.44106i | −0.538747 | + | 0.393720i | ||||
\(576\) | −0.954125 | − | 1.65259i | −0.0397552 | − | 0.0688581i | ||||
\(577\) | −7.06578 | − | 36.6607i | −0.294152 | − | 1.52621i | −0.765022 | − | 0.644004i | \(-0.777272\pi\) |
0.470870 | − | 0.882202i | \(-0.343940\pi\) | |||||||
\(578\) | 7.66789 | − | 3.95307i | 0.318942 | − | 0.164426i | ||||
\(579\) | −6.10579 | − | 15.2515i | −0.253748 | − | 0.633831i | ||||
\(580\) | 1.67731 | − | 3.67279i | 0.0696464 | − | 0.152504i | ||||
\(581\) | 10.7264 | + | 10.1476i | 0.445005 | + | 0.420992i | ||||
\(582\) | 0.953961 | − | 3.24889i | 0.0395430 | − | 0.134671i | ||||
\(583\) | 9.29420 | + | 4.79149i | 0.384926 | + | 0.198443i | ||||
\(584\) | −0.0856199 | + | 0.896652i | −0.00354298 | + | 0.0371037i | ||||
\(585\) | 6.28989 | + | 1.52591i | 0.260055 | + | 0.0630887i | ||||
\(586\) | −0.710542 | − | 0.136946i | −0.0293522 | − | 0.00565718i | ||||
\(587\) | −23.8905 | − | 20.7012i | −0.986065 | − | 0.854430i | 0.00328370 | − | 0.999995i | \(-0.498955\pi\) |
−0.989349 | + | 0.145564i | \(0.953500\pi\) | |||||||
\(588\) | 6.56096 | + | 10.0351i | 0.270569 | + | 0.413841i | ||||
\(589\) | −23.3231 | + | 10.6513i | −0.961011 | + | 0.438879i | ||||
\(590\) | 2.22221 | − | 4.31048i | 0.0914868 | − | 0.177460i | ||||
\(591\) | −4.47934 | − | 4.69780i | −0.184255 | − | 0.193242i | ||||
\(592\) | 4.12591 | − | 10.3060i | 0.169574 | − | 0.423575i | ||||
\(593\) | −1.45667 | − | 15.2549i | −0.0598183 | − | 0.626445i | −0.974820 | − | 0.222995i | \(-0.928417\pi\) |
0.915001 | − | 0.403451i | \(-0.132189\pi\) | |||||||
\(594\) | −0.275651 | + | 1.91719i | −0.0113101 | + | 0.0786634i | ||||
\(595\) | −3.22598 | + | 0.320815i | −0.132252 | + | 0.0131521i | ||||
\(596\) | −21.7759 | + | 18.8690i | −0.891977 | + | 0.772903i | ||||
\(597\) | −9.67842 | + | 5.58784i | −0.396111 | + | 0.228695i | ||||
\(598\) | −11.9135 | + | 4.94039i | −0.487180 | + | 0.202028i | ||||
\(599\) | −12.9964 | + | 22.5105i | −0.531019 | + | 0.919753i | 0.468325 | + | 0.883556i | \(0.344858\pi\) |
−0.999345 | + | 0.0361964i | \(0.988476\pi\) | |||||||
\(600\) | 6.27347 | + | 2.17127i | 0.256113 | + | 0.0886417i | ||||
\(601\) | 15.5899 | − | 24.2584i | 0.635926 | − | 0.989520i | −0.362419 | − | 0.932015i | \(-0.618049\pi\) |
0.998345 | − | 0.0575052i | \(-0.0183146\pi\) | |||||||
\(602\) | 4.17245 | + | 2.38720i | 0.170056 | + | 0.0972948i | ||||
\(603\) | 6.84079 | + | 3.12408i | 0.278578 | + | 0.127223i | ||||
\(604\) | 28.8970 | − | 22.7249i | 1.17580 | − | 0.924661i | ||||
\(605\) | −1.92527 | + | 1.83574i | −0.0782732 | + | 0.0746333i | ||||
\(606\) | 0.373499 | + | 7.84072i | 0.0151724 | + | 0.318507i | ||||
\(607\) | 38.5163 | + | 27.4273i | 1.56333 | + | 1.11324i | 0.944882 | + | 0.327411i | \(0.106176\pi\) |
0.618445 | + | 0.785828i | \(0.287763\pi\) | |||||||
\(608\) | −19.0859 | + | 5.60413i | −0.774037 | + | 0.227278i | ||||
\(609\) | −2.59835 | + | 4.07819i | −0.105290 | + | 0.165256i | ||||
\(610\) | 2.89323 | − | 3.33896i | 0.117143 | − | 0.135191i | ||||
\(611\) | 13.3261 | + | 12.7064i | 0.539116 | + | 0.514046i | ||||
\(612\) | −1.61980 | − | 0.154672i | −0.0654764 | − | 0.00625223i | ||||
\(613\) | −10.4926 | + | 0.499825i | −0.423793 | + | 0.0201877i | −0.258395 | − | 0.966039i | \(-0.583194\pi\) |
−0.165398 | + | 0.986227i | \(0.552891\pi\) | |||||||
\(614\) | −7.62989 | + | 1.85099i | −0.307917 | + | 0.0746999i | ||||
\(615\) | −1.61572 | − | 11.2376i | −0.0651520 | − | 0.453142i | ||||
\(616\) | 5.28875 | − | 18.2767i | 0.213090 | − | 0.736388i | ||||
\(617\) | 47.7979 | + | 6.87229i | 1.92427 | + | 0.276668i | 0.995559 | − | 0.0941386i | \(-0.0300097\pi\) |
0.928710 | + | 0.370807i | \(0.120919\pi\) | |||||||
\(618\) | −7.81867 | − | 0.372449i | −0.314513 | − | 0.0149821i | ||||
\(619\) | 12.1349 | − | 2.33882i | 0.487744 | − | 0.0940050i | 0.0605505 | − | 0.998165i | \(-0.480714\pi\) |
0.427194 | + | 0.904160i | \(0.359502\pi\) | |||||||
\(620\) | 12.9318 | + | 7.46618i | 0.519354 | + | 0.299849i | ||||
\(621\) | −4.58459 | + | 1.40766i | −0.183973 | + | 0.0564874i | ||||
\(622\) | 9.73625i | 0.390388i | ||||||||
\(623\) | −9.01397 | − | 25.7174i | −0.361137 | − | 1.03035i | ||||
\(624\) | −9.95953 | − | 6.40060i | −0.398700 | − | 0.256229i | ||||
\(625\) | 2.61206 | − | 1.04571i | 0.104482 | − | 0.0418284i | ||||
\(626\) | −9.22883 | − | 12.9601i | −0.368858 | − | 0.517989i | ||||
\(627\) | −12.7278 | − | 5.09545i | −0.508300 | − | 0.203493i | ||||
\(628\) | −4.62927 | − | 19.0821i | −0.184728 | − | 0.761460i | ||||
\(629\) | −2.41674 | − | 3.76053i | −0.0963619 | − | 0.149942i | ||||
\(630\) | 1.62879 | + | 0.831630i | 0.0648925 | + | 0.0331329i | ||||
\(631\) | 6.78711 | + | 23.1148i | 0.270191 | + | 0.920185i | 0.977082 | + | 0.212863i | \(0.0682788\pi\) |
−0.706891 | + | 0.707322i | \(0.749903\pi\) | |||||||
\(632\) | −1.30213 | + | 6.75609i | −0.0517960 | + | 0.268743i | ||||
\(633\) | 3.20061 | − | 1.10774i | 0.127213 | − | 0.0440288i | ||||
\(634\) | 4.09218 | − | 16.8682i | 0.162521 | − | 0.669921i | ||||
\(635\) | −9.14291 | + | 12.8394i | −0.362825 | + | 0.509517i | ||||
\(636\) | 4.16879 | − | 2.67912i | 0.165303 | − | 0.106234i | ||||
\(637\) | 30.5573 | + | 17.3241i | 1.21072 | + | 0.686407i | ||||
\(638\) | 3.50402 | − | 0.503803i | 0.138726 | − | 0.0199457i | ||||
\(639\) | 7.26866 | − | 0.694073i | 0.287544 | − | 0.0274571i | ||||
\(640\) | 11.6698 | + | 9.17726i | 0.461291 | + | 0.362763i | ||||
\(641\) | 10.8066 | + | 20.9619i | 0.426835 | + | 0.827943i | 0.999964 | + | 0.00847869i | \(0.00269888\pi\) |
−0.573130 | + | 0.819465i | \(0.694271\pi\) | |||||||
\(642\) | 2.45927 | − | 7.10558i | 0.0970595 | − | 0.280435i | ||||
\(643\) | −24.7017 | −0.974138 | −0.487069 | − | 0.873363i | \(-0.661934\pi\) | ||||
−0.487069 | + | 0.873363i | \(0.661934\pi\) | |||||||
\(644\) | 21.4587 | − | 3.44155i | 0.845591 | − | 0.135616i | ||||
\(645\) | −4.37281 | −0.172179 | ||||||||
\(646\) | −0.631657 | + | 1.82505i | −0.0248522 | + | 0.0718058i | ||||
\(647\) | 12.6547 | + | 24.5467i | 0.497507 | + | 0.965030i | 0.995217 | + | 0.0976862i | \(0.0311441\pi\) |
−0.497710 | + | 0.867344i | \(0.665826\pi\) | |||||||
\(648\) | 1.56404 | + | 1.22998i | 0.0614415 | + | 0.0483181i | ||||
\(649\) | −25.2421 | + | 2.41033i | −0.990840 | + | 0.0946137i | ||||
\(650\) | 8.88114 | − | 1.27692i | 0.348347 | − | 0.0500847i | ||||
\(651\) | −14.1005 | − | 10.9995i | −0.552641 | − | 0.431105i | ||||
\(652\) | −21.9144 | + | 14.0835i | −0.858235 | + | 0.551554i | ||||
\(653\) | 27.6236 | − | 38.7919i | 1.08100 | − | 1.51805i | 0.244831 | − | 0.969566i | \(-0.421268\pi\) |
0.836164 | − | 0.548479i | \(-0.184793\pi\) | |||||||
\(654\) | −1.62394 | + | 6.69397i | −0.0635011 | + | 0.261755i | ||||
\(655\) | −0.220029 | + | 0.0761527i | −0.00859723 | + | 0.00297553i | ||||
\(656\) | −3.93011 | + | 20.3913i | −0.153445 | + | 0.796148i | ||||
\(657\) | 0.127537 | + | 0.434350i | 0.00497567 | + | 0.0169456i | ||||
\(658\) | 2.82995 | + | 4.36575i | 0.110323 | + | 0.170195i | ||||
\(659\) | 2.84111 | + | 4.42086i | 0.110674 | + | 0.172212i | 0.892172 | − | 0.451695i | \(-0.149181\pi\) |
−0.781498 | + | 0.623907i | \(0.785544\pi\) | |||||||
\(660\) | 1.88239 | + | 7.75933i | 0.0732720 | + | 0.302031i | ||||
\(661\) | 6.83432 | + | 2.73605i | 0.265824 | + | 0.106420i | 0.500746 | − | 0.865594i | \(-0.333059\pi\) |
−0.234922 | + | 0.972014i | \(0.575483\pi\) | |||||||
\(662\) | 0.440630 | + | 0.618778i | 0.0171256 | + | 0.0240495i | ||||
\(663\) | −4.42571 | + | 1.77179i | −0.171880 | + | 0.0688106i | ||||
\(664\) | −9.34183 | − | 6.00363i | −0.362533 | − | 0.232986i | ||||
\(665\) | −8.43859 | + | 9.81617i | −0.327235 | + | 0.380655i | ||||
\(666\) | 2.52169i | 0.0977136i | ||||||||
\(667\) | 4.82923 | + | 7.31495i | 0.186989 | + | 0.283236i | ||||
\(668\) | 14.3560 | + | 8.28845i | 0.555451 | + | 0.320690i | ||||
\(669\) | −21.3497 | + | 4.11481i | −0.825426 | + | 0.159088i | ||||
\(670\) | −5.19240 | − | 0.247345i | −0.200600 | − | 0.00955576i | ||||
\(671\) | −22.8656 | − | 3.28758i | −0.882717 | − | 0.126916i | ||||
\(672\) | −9.61340 | − | 10.0034i | −0.370845 | − | 0.385890i | ||||
\(673\) | 3.48738 | + | 24.2553i | 0.134429 | + | 0.934972i | 0.939684 | + | 0.342044i | \(0.111119\pi\) |
−0.805255 | + | 0.592928i | \(0.797972\pi\) | |||||||
\(674\) | 12.5962 | − | 3.05581i | 0.485188 | − | 0.117705i | ||||
\(675\) | 3.33262 | − | 0.158752i | 0.128273 | − | 0.00611038i | ||||
\(676\) | −20.7692 | − | 1.98322i | −0.798817 | − | 0.0762777i | ||||
\(677\) | −4.80347 | − | 4.58010i | −0.184612 | − | 0.176027i | 0.592137 | − | 0.805837i | \(-0.298284\pi\) |
−0.776749 | + | 0.629810i | \(0.783133\pi\) | |||||||
\(678\) | −6.43876 | + | 7.43072i | −0.247279 | + | 0.285375i | ||||
\(679\) | −0.729918 | + | 16.7006i | −0.0280117 | + | 0.640910i | ||||
\(680\) | 2.33932 | − | 0.686885i | 0.0897087 | − | 0.0263408i | ||||
\(681\) | −1.13614 | − | 0.809044i | −0.0435371 | − | 0.0310027i | ||||
\(682\) | 0.622945 | + | 13.0772i | 0.0238538 | + | 0.500753i | ||||
\(683\) | −11.2297 | + | 10.7075i | −0.429693 | + | 0.409711i | −0.873818 | − | 0.486254i | \(-0.838363\pi\) |
0.444125 | + | 0.895965i | \(0.353515\pi\) | |||||||
\(684\) | −5.10715 | + | 4.01631i | −0.195277 | + | 0.153567i | ||||
\(685\) | 2.35020 | + | 1.07330i | 0.0897967 | + | 0.0410088i | ||||
\(686\) | 7.26335 | + | 6.76425i | 0.277316 | + | 0.258260i | ||||
\(687\) | 5.36132 | − | 8.34238i | 0.204547 | − | 0.318282i | ||||
\(688\) | 7.55863 | + | 2.61607i | 0.288170 | + | 0.0997366i | ||||
\(689\) | 7.25914 | − | 12.5732i | 0.276551 | − | 0.479001i | ||||
\(690\) | 2.58036 | − | 2.08111i | 0.0982326 | − | 0.0792264i | ||||
\(691\) | −26.4952 | + | 15.2970i | −1.00792 | + | 0.581925i | −0.910583 | − | 0.413327i | \(-0.864367\pi\) |
−0.0973401 | + | 0.995251i | \(0.531033\pi\) | |||||||
\(692\) | −25.5740 | + | 22.1600i | −0.972176 | + | 0.842395i | ||||
\(693\) | −0.946275 | − | 9.51535i | −0.0359460 | − | 0.361458i | ||||
\(694\) | −0.339449 | + | 2.36092i | −0.0128853 | + | 0.0896192i | ||||
\(695\) | 0.850371 | + | 8.90549i | 0.0322564 | + | 0.337804i | ||||
\(696\) | 1.35160 | − | 3.37613i | 0.0512321 | − | 0.127972i | ||||
\(697\) | 5.77053 | + | 6.05196i | 0.218574 | + | 0.229234i | ||||
\(698\) | −0.242772 | + | 0.470911i | −0.00918904 | + | 0.0178242i | ||||
\(699\) | −9.79119 | + | 4.47149i | −0.370337 | + | 0.169127i | ||||
\(700\) | −15.0564 | − | 1.37815i | −0.569078 | − | 0.0520892i | ||||
\(701\) | −21.6187 | − | 18.7327i | −0.816528 | − | 0.707526i | 0.142821 | − | 0.989749i | \(-0.454383\pi\) |
−0.959349 | + | 0.282223i | \(0.908928\pi\) | |||||||
\(702\) | 2.64067 | + | 0.508947i | 0.0996655 | + | 0.0192090i | ||||
\(703\) | −17.3460 | − | 4.20809i | −0.654217 | − | 0.158711i | ||||
\(704\) | 0.655583 | − | 6.86558i | 0.0247082 | − | 0.258756i | ||||
\(705\) | −4.20660 | − | 2.16866i | −0.158430 | − | 0.0816763i | ||||
\(706\) | 4.89514 | − | 16.6713i | 0.184231 | − | 0.627434i | ||||
\(707\) | −11.0636 | − | 37.1397i | −0.416089 | − | 1.39678i | ||||
\(708\) | −4.99197 | + | 10.9309i | −0.187610 | + | 0.410808i | ||||
\(709\) | 6.43865 | + | 16.0830i | 0.241809 | + | 0.604009i | 0.998777 | − | 0.0494427i | \(-0.0157445\pi\) |
−0.756968 | + | 0.653452i | \(0.773320\pi\) | |||||||
\(710\) | −4.48608 | + | 2.31274i | −0.168360 | + | 0.0867954i | ||||
\(711\) | 0.654421 | + | 3.39546i | 0.0245427 | + | 0.127340i | ||||
\(712\) | 10.2472 | + | 17.7487i | 0.384031 | + | 0.665161i | ||||
\(713\) | −28.6278 | + | 15.2074i | −1.07212 | + | 0.569521i | ||||
\(714\) | −1.33254 | + | 0.196927i | −0.0498690 | + | 0.00736980i | ||||
\(715\) | 15.3187 | + | 17.6788i | 0.572888 | + | 0.661148i | ||||
\(716\) | −0.893465 | + | 18.7561i | −0.0333903 | + | 0.700949i | ||||
\(717\) | 10.4535 | − | 13.2927i | 0.390392 | − | 0.496424i | ||||
\(718\) | 8.87460 | − | 6.31957i | 0.331197 | − | 0.235844i | ||||
\(719\) | 19.6806 | + | 25.0259i | 0.733961 | + | 0.933307i | 0.999526 | − | 0.0307858i | \(-0.00980096\pi\) |
−0.265565 | + | 0.964093i | \(0.585559\pi\) | |||||||
\(720\) | 2.91972 | + | 0.857306i | 0.108811 | + | 0.0319499i | ||||
\(721\) | 37.9163 | − | 7.46210i | 1.41208 | − | 0.277903i | ||||
\(722\) | −1.02645 | − | 2.24760i | −0.0382003 | − | 0.0836471i | ||||
\(723\) | 18.4097 | − | 19.3076i | 0.684665 | − | 0.718056i | ||||
\(724\) | 5.50887 | + | 15.9168i | 0.204736 | + | 0.591545i | ||||
\(725\) | −1.99443 | − | 5.76251i | −0.0740711 | − | 0.214014i | ||||
\(726\) | −0.762751 | + | 0.799950i | −0.0283083 | + | 0.0296889i | ||||
\(727\) | 3.33936 | + | 7.31219i | 0.123850 | + | 0.271194i | 0.961394 | − | 0.275177i | \(-0.0887363\pi\) |
−0.837544 | + | 0.546371i | \(0.816009\pi\) | |||||||
\(728\) | −24.9978 | − | 8.54219i | −0.926479 | − | 0.316595i | ||||
\(729\) | 0.959493 | + | 0.281733i | 0.0355368 | + | 0.0104345i | ||||
\(730\) | −0.193427 | − | 0.245963i | −0.00715907 | − | 0.00910350i | ||||
\(731\) | 2.62358 | − | 1.86824i | 0.0970364 | − | 0.0690993i | ||||
\(732\) | −6.76735 | + | 8.60539i | −0.250129 | + | 0.318064i | ||||
\(733\) | 0.548275 | − | 11.5097i | 0.0202510 | − | 0.425121i | −0.965863 | − | 0.259052i | \(-0.916590\pi\) |
0.986114 | − | 0.166068i | \(-0.0531072\pi\) | |||||||
\(734\) | −13.1108 | − | 15.1307i | −0.483930 | − | 0.558485i | ||||
\(735\) | −8.79056 | − | 2.05970i | −0.324245 | − | 0.0759732i | ||||
\(736\) | −23.6625 | + | 8.51711i | −0.872210 | + | 0.313945i | ||||
\(737\) | 13.5901 | + | 23.5388i | 0.500598 | + | 0.867062i | ||||
\(738\) | −0.892742 | − | 4.63199i | −0.0328623 | − | 0.170506i | ||||
\(739\) | 25.8971 | − | 13.3509i | 0.952638 | − | 0.491119i | 0.0894445 | − | 0.995992i | \(-0.471491\pi\) |
0.863194 | + | 0.504873i | \(0.168461\pi\) | |||||||
\(740\) | 3.86344 | + | 9.65040i | 0.142023 | + | 0.354756i | ||||
\(741\) | −7.90753 | + | 17.3151i | −0.290490 | + | 0.636085i | ||||
\(742\) | 2.81922 | − | 2.98002i | 0.103497 | − | 0.109400i | ||||
\(743\) | 11.4150 | − | 38.8760i | 0.418777 | − | 1.42622i | −0.432561 | − | 0.901605i | \(-0.642390\pi\) |
0.851338 | − | 0.524618i | \(-0.175792\pi\) | |||||||
\(744\) | 11.9541 | + | 6.16278i | 0.438259 | + | 0.225938i | ||||
\(745\) | 2.06252 | − | 21.5997i | 0.0755648 | − | 0.791350i | ||||
\(746\) | −4.32891 | − | 1.05018i | −0.158493 | − | 0.0384499i | ||||
\(747\) | −5.48009 | − | 1.05620i | −0.200506 | − | 0.0386444i | ||||
\(748\) | −4.44449 | − | 3.85117i | −0.162507 | − | 0.140813i | ||||
\(749\) | −3.38364 | + | 36.9665i | −0.123635 | + | 1.35073i | ||||
\(750\) | −5.24161 | + | 2.39376i | −0.191397 | + | 0.0874079i | ||||
\(751\) | 0.195657 | − | 0.379522i | 0.00713963 | − | 0.0138490i | −0.885239 | − | 0.465137i | \(-0.846005\pi\) |
0.892378 | + | 0.451288i | \(0.149035\pi\) | |||||||
\(752\) | 5.97393 | + | 6.26527i | 0.217847 | + | 0.228471i | ||||
\(753\) | 1.83431 | − | 4.58188i | 0.0668459 | − | 0.166973i | ||||
\(754\) | −0.467213 | − | 4.89287i | −0.0170149 | − | 0.178188i | ||||
\(755\) | −3.93976 | + | 27.4016i | −0.143383 | + | 0.997248i | ||||
\(756\) | −4.12947 | − | 1.86633i | −0.150187 | − | 0.0678777i | ||||
\(757\) | −3.08752 | + | 2.67535i | −0.112218 | + | 0.0972372i | −0.709162 | − | 0.705045i | \(-0.750927\pi\) |
0.596945 | + | 0.802282i | \(0.296381\pi\) | |||||||
\(758\) | −12.9854 | + | 7.49713i | −0.471651 | + | 0.272308i | ||||
\(759\) | −16.4483 | − | 5.46713i | −0.597036 | − | 0.198444i | ||||
\(760\) | 4.86757 | − | 8.43089i | 0.176565 | − | 0.305820i | ||||
\(761\) | −45.2252 | − | 15.6526i | −1.63941 | − | 0.567407i | −0.656962 | − | 0.753924i | \(-0.728159\pi\) |
−0.982452 | + | 0.186517i | \(0.940280\pi\) | |||||||
\(762\) | −3.54074 | + | 5.50951i | −0.128268 | + | 0.199588i | ||||
\(763\) | −0.133357 | − | 34.0057i | −0.00482785 | − | 1.23109i | ||||
\(764\) | −10.3391 | − | 4.72169i | −0.374054 | − | 0.170825i | ||||
\(765\) | 0.963167 | − | 0.757443i | 0.0348234 | − | 0.0273854i | ||||
\(766\) | −1.66442 | + | 1.58702i | −0.0601380 | + | 0.0573415i | ||||
\(767\) | 1.67519 | + | 35.1665i | 0.0604875 | + | 1.26979i | ||||
\(768\) | 1.91595 | + | 1.36434i | 0.0691357 | + | 0.0492313i | ||||
\(769\) | −12.6394 | + | 3.71126i | −0.455788 | + | 0.133832i | −0.501565 | − | 0.865120i | \(-0.667242\pi\) |
0.0457762 | + | 0.998952i | \(0.485424\pi\) | |||||||
\(770\) | 3.05176 | + | 5.86302i | 0.109978 | + | 0.211288i | ||||
\(771\) | 18.5861 | − | 21.4495i | 0.669362 | − | 0.772485i | ||||
\(772\) | −20.3647 | − | 19.4177i | −0.732940 | − | 0.698857i | ||||
\(773\) | 34.0739 | + | 3.25366i | 1.22555 | + | 0.117026i | 0.687689 | − | 0.726006i | \(-0.258625\pi\) |
0.537864 | + | 0.843032i | \(0.319232\pi\) | |||||||
\(774\) | −1.81485 | + | 0.0864518i | −0.0652333 | + | 0.00310745i | ||||
\(775\) | 21.9159 | − | 5.31674i | 0.787243 | − | 0.190983i | ||||
\(776\) | −1.78914 | − | 12.4438i | −0.0642265 | − | 0.446705i | ||||
\(777\) | −2.98246 | − | 12.0868i | −0.106995 | − | 0.433610i | ||||
\(778\) | −17.5563 | − | 2.52422i | −0.629424 | − | 0.0904976i | ||||
\(779\) | 33.3519 | + | 1.58875i | 1.19496 | + | 0.0569227i | ||||
\(780\) | 10.8855 | − | 2.09800i | 0.389762 | − | 0.0751204i | ||||
\(781\) | 22.8543 | + | 13.1950i | 0.817792 | + | 0.472153i | ||||
\(782\) | −0.659018 | + | 2.35105i | −0.0235664 | + | 0.0840733i | ||||
\(783\) | − | 1.82768i | − | 0.0653161i | ||||||
\(784\) | 13.9627 | + | 8.81933i | 0.498669 | + | 0.314976i | ||||
\(785\) | 12.4391 | + | 7.99415i | 0.443972 | + | 0.285323i | ||||
\(786\) | −0.0898130 | + | 0.0359557i | −0.00320352 | + | 0.00128250i | ||||
\(787\) | 4.68197 | + | 6.57491i | 0.166894 | + | 0.234370i | 0.889550 | − | 0.456838i | \(-0.151018\pi\) |
−0.722656 | + | 0.691208i | \(0.757079\pi\) | |||||||
\(788\) | −10.3214 | − | 4.13209i | −0.367686 | − | 0.147199i | ||||
\(789\) | 3.45853 | + | 14.2563i | 0.123127 | + | 0.507536i | ||||
\(790\) | −1.29225 | − | 2.01079i | −0.0459763 | − | 0.0715405i | ||||
\(791\) | 22.0733 | − | 43.2316i | 0.784835 | − | 1.53714i | ||||
\(792\) | 2.02603 | + | 6.90004i | 0.0719920 | + | 0.245182i | ||||
\(793\) | −6.07001 | + | 31.4942i | −0.215552 | + | 1.11839i | ||||
\(794\) | −1.71347 | + | 0.593039i | −0.0608089 | + | 0.0210461i | ||||
\(795\) | −0.879772 | + | 3.62647i | −0.0312023 | + | 0.128618i | ||||
\(796\) | −11.1032 | + | 15.5923i | −0.393544 | + | 0.552655i | ||||
\(797\) | 8.60842 | − | 5.53229i | 0.304926 | − | 0.195964i | −0.379225 | − | 0.925304i | \(-0.623809\pi\) |
0.684151 | + | 0.729341i | \(0.260173\pi\) | |||||||
\(798\) | −3.30820 | + | 4.24085i | −0.117109 | + | 0.150124i | ||||
\(799\) | 3.45040 | − | 0.496092i | 0.122066 | − | 0.0175505i | ||||
\(800\) | 17.4164 | − | 1.66306i | 0.615762 | − | 0.0587981i | ||||
\(801\) | 8.09638 | + | 6.36707i | 0.286072 | + | 0.224969i | ||||
\(802\) | 3.24758 | + | 6.29943i | 0.114676 | + | 0.222441i | ||||
\(803\) | −0.535116 | + | 1.54612i | −0.0188838 | + | 0.0545613i | ||||
\(804\) | 12.8809 | 0.454274 | ||||||||
\(805\) | −9.90660 | + | 13.0268i | −0.349162 | + | 0.459136i | ||||
\(806\) | 18.1774 | 0.640273 | ||||||||
\(807\) | −4.46444 | + | 12.8992i | −0.157156 | + | 0.454072i | ||||
\(808\) | 13.3545 | + | 25.9042i | 0.469811 | + | 0.911307i | ||||
\(809\) | 5.66965 | + | 4.45866i | 0.199334 | + | 0.156758i | 0.712837 | − | 0.701330i | \(-0.247410\pi\) |
−0.513503 | + | 0.858088i | \(0.671652\pi\) | |||||||
\(810\) | −0.688096 | + | 0.0657052i | −0.0241772 | + | 0.00230865i | ||||
\(811\) | 32.9523 | − | 4.73783i | 1.15711 | − | 0.166368i | 0.463084 | − | 0.886315i | \(-0.346743\pi\) |
0.694029 | + | 0.719947i | \(0.255834\pi\) | |||||||
\(812\) | −1.14655 | + | 8.20265i | −0.0402360 | + | 0.287856i | ||||
\(813\) | 7.39796 | − | 4.75438i | 0.259458 | − | 0.166743i | ||||
\(814\) | −5.28659 | + | 7.42397i | −0.185295 | + | 0.260210i | ||||
\(815\) | 4.62477 | − | 19.0636i | 0.161999 | − | 0.667767i | ||||
\(816\) | −2.11803 | + | 0.733059i | −0.0741460 | + | 0.0256622i | ||||
\(817\) | 2.43386 | − | 12.6281i | 0.0851501 | − | 0.441801i | ||||
\(818\) | −1.62396 | − | 5.53071i | −0.0567805 | − | 0.193377i | ||||
\(819\) | −13.2590 | + | 0.683727i | −0.463306 | + | 0.0238913i | ||||
\(820\) | −10.5131 | − | 16.3586i | −0.367132 | − | 0.571269i | ||||
\(821\) | −4.93189 | − | 20.3295i | −0.172124 | − | 0.709506i | −0.990810 | − | 0.135264i | \(-0.956812\pi\) |
0.818685 | − | 0.574242i | \(-0.194703\pi\) | |||||||
\(822\) | 0.996626 | + | 0.398989i | 0.0347613 | + | 0.0139163i | ||||
\(823\) | −0.396012 | − | 0.556121i | −0.0138041 | − | 0.0193852i | 0.807616 | − | 0.589708i | \(-0.200757\pi\) |
−0.821420 | + | 0.570323i | \(0.806818\pi\) | |||||||
\(824\) | −26.9802 | + | 10.8013i | −0.939902 | + | 0.376280i | ||||
\(825\) | 10.1442 | + | 6.51929i | 0.353176 | + | 0.226972i | ||||
\(826\) | −1.84432 | + | 9.77539i | −0.0641722 | + | 0.340129i | ||||
\(827\) | 30.6556i | 1.06600i | 0.846115 | + | 0.533000i | \(0.178935\pi\) | ||||
−0.846115 | + | 0.533000i | \(0.821065\pi\) | |||||||
\(828\) | −6.14128 | + | 5.45518i | −0.213424 | + | 0.189581i | ||||
\(829\) | −34.1495 | − | 19.7162i | −1.18606 | − | 0.684772i | −0.228652 | − | 0.973508i | \(-0.573432\pi\) |
−0.957409 | + | 0.288736i | \(0.906765\pi\) | |||||||
\(830\) | 3.78798 | − | 0.730074i | 0.131483 | − | 0.0253412i | ||||
\(831\) | −27.9388 | − | 1.33089i | −0.969185 | − | 0.0461680i | ||||
\(832\) | −9.47828 | − | 1.36277i | −0.328600 | − | 0.0472456i | ||||
\(833\) | 6.15410 | − | 2.51991i | 0.213227 | − | 0.0873098i | ||||
\(834\) | 0.528995 | + | 3.67924i | 0.0183176 | + | 0.127402i | ||||
\(835\) | −12.1312 | + | 2.94300i | −0.419818 | + | 0.101847i | ||||
\(836\) | −23.4556 | + | 1.11733i | −0.811230 | + | 0.0386436i | ||||
\(837\) | 6.72865 | + | 0.642508i | 0.232576 | + | 0.0222083i | ||||
\(838\) | 10.5691 | + | 10.0776i | 0.365104 | + | 0.348126i | ||||
\(839\) | −11.1903 | + | 12.9143i | −0.386331 | + | 0.445849i | −0.915289 | − | 0.402799i | \(-0.868037\pi\) |
0.528958 | + | 0.848648i | \(0.322583\pi\) | |||||||
\(840\) | 6.78353 | + | 0.296482i | 0.234054 | + | 0.0102296i | ||||
\(841\) | 24.6202 | − | 7.22914i | 0.848972 | − | 0.249281i | ||||
\(842\) | 17.0685 | + | 12.1544i | 0.588220 | + | 0.418869i | ||||
\(843\) | −0.719889 | − | 15.1123i | −0.0247943 | − | 0.520496i | ||||
\(844\) | 4.19841 | − | 4.00318i | 0.144515 | − | 0.137795i | ||||
\(845\) | 12.3499 | − | 9.71204i | 0.424848 | − | 0.334104i | ||||
\(846\) | −1.78874 | − | 0.816892i | −0.0614983 | − | 0.0280853i | ||||
\(847\) | 2.70984 | − | 4.73638i | 0.0931111 | − | 0.162744i | ||||
\(848\) | 3.69030 | − | 5.74222i | 0.126725 | − | 0.197189i | ||||
\(849\) | −14.6577 | − | 5.07307i | −0.503050 | − | 0.174107i | ||||
\(850\) | 0.849319 | − | 1.47106i | 0.0291314 | − | 0.0504570i | ||||
\(851\) | −22.2093 | − | 3.99772i | −0.761326 | − | 0.137040i | ||||
\(852\) | 10.8308 | − | 6.25318i | 0.371058 | − | 0.214230i | ||||
\(853\) | −3.85420 | + | 3.33968i | −0.131965 | + | 0.114349i | −0.718343 | − | 0.695689i | \(-0.755099\pi\) |
0.586377 | + | 0.810038i | \(0.300554\pi\) | |||||||
\(854\) | −3.73243 | + | 8.25844i | −0.127721 | + | 0.282598i | ||||
\(855\) | 0.696299 | − | 4.84286i | 0.0238129 | − | 0.165622i | ||||
\(856\) | −2.65368 | − | 27.7906i | −0.0907008 | − | 0.949862i | ||||
\(857\) | −4.34412 | + | 10.8511i | −0.148392 | + | 0.370666i | −0.983877 | − | 0.178848i | \(-0.942763\pi\) |
0.835484 | + | 0.549514i | \(0.185187\pi\) | |||||||
\(858\) | 6.70726 | + | 7.03437i | 0.228982 | + | 0.240149i | ||||
\(859\) | −17.9175 | + | 34.7551i | −0.611337 | + | 1.18583i | 0.356511 | + | 0.934291i | \(0.383966\pi\) |
−0.967848 | + | 0.251537i | \(0.919064\pi\) | |||||||
\(860\) | −6.81289 | + | 3.11134i | −0.232318 | + | 0.106096i | ||||
\(861\) | 9.75736 | + | 21.1458i | 0.332530 | + | 0.720647i | ||||
\(862\) | 12.6644 | + | 10.9738i | 0.431352 | + | 0.373769i | ||||
\(863\) | 34.7930 | + | 6.70580i | 1.18437 | + | 0.228268i | 0.743146 | − | 0.669130i | \(-0.233333\pi\) |
0.441222 | + | 0.897398i | \(0.354545\pi\) | |||||||
\(864\) | 5.09603 | + | 1.23628i | 0.173371 | + | 0.0420592i | ||||
\(865\) | 2.42225 | − | 25.3669i | 0.0823589 | − | 0.862501i | ||||
\(866\) | 15.7281 | + | 8.10840i | 0.534463 | + | 0.275535i | ||||
\(867\) | 4.53519 | − | 15.4454i | 0.154023 | − | 0.524554i | ||||
\(868\) | −29.7951 | − | 7.10461i | −1.01131 | − | 0.241146i | ||||
\(869\) | −5.19174 | + | 11.3683i | −0.176118 | + | 0.385644i | ||||
\(870\) | 0.469538 | + | 1.17285i | 0.0159188 | + | 0.0397633i | ||||
\(871\) | 33.5428 | − | 17.2925i | 1.13655 | − | 0.585934i | ||||
\(872\) | 4.83996 | + | 25.1121i | 0.163902 | + | 0.850402i | ||||
\(873\) | −3.15913 | − | 5.47177i | −0.106920 | − | 0.185192i | ||||
\(874\) | 4.57376 | + | 8.61006i | 0.154710 | + | 0.291240i | ||||
\(875\) | 22.2925 | − | 17.6729i | 0.753624 | − | 0.597455i | ||||
\(876\) | 0.507752 | + | 0.585977i | 0.0171554 | + | 0.0197983i | ||||
\(877\) | −1.26210 | + | 26.4948i | −0.0426181 | + | 0.894665i | 0.871792 | + | 0.489876i | \(0.162958\pi\) |
−0.914410 | + | 0.404789i | \(0.867345\pi\) | |||||||
\(878\) | 0.896153 | − | 1.13955i | 0.0302437 | − | 0.0384580i | ||||
\(879\) | −1.09988 | + | 0.783221i | −0.0370980 | + | 0.0264174i | ||||
\(880\) | 6.79848 | + | 8.64497i | 0.229177 | + | 0.291422i | ||||
\(881\) | −24.8965 | − | 7.31028i | −0.838785 | − | 0.246290i | −0.165998 | − | 0.986126i | \(-0.553085\pi\) |
−0.672787 | + | 0.739836i | \(0.734903\pi\) | |||||||
\(882\) | −3.68907 | − | 0.681046i | −0.124217 | − | 0.0229320i | ||||
\(883\) | 4.42294 | + | 9.68489i | 0.148844 | + | 0.325922i | 0.969338 | − | 0.245733i | \(-0.0790287\pi\) |
−0.820494 | + | 0.571656i | \(0.806301\pi\) | |||||||
\(884\) | −5.63465 | + | 5.90945i | −0.189514 | + | 0.198756i | ||||
\(885\) | −2.95969 | − | 8.55146i | −0.0994889 | − | 0.287454i | ||||
\(886\) | 0.868196 | + | 2.50849i | 0.0291676 | + | 0.0842743i | ||||
\(887\) | −22.0238 | + | 23.0979i | −0.739487 | + | 0.775551i | −0.980825 | − | 0.194890i | \(-0.937565\pi\) |
0.241338 | + | 0.970441i | \(0.422414\pi\) | |||||||
\(888\) | 3.88933 | + | 8.51645i | 0.130517 | + | 0.285793i | ||||
\(889\) | 10.4550 | − | 30.5954i | 0.350650 | − | 1.02614i | ||||
\(890\) | −6.83127 | − | 2.00584i | −0.228985 | − | 0.0672359i | ||||
\(891\) | 2.23415 | + | 2.84096i | 0.0748469 | + | 0.0951756i | ||||
\(892\) | −30.3353 | + | 21.6017i | −1.01570 | + | 0.723277i | ||||
\(893\) | 8.60415 | − | 10.9411i | 0.287927 | − | 0.366129i | ||||
\(894\) | 0.428975 | − | 9.00529i | 0.0143471 | − | 0.301182i | ||||
\(895\) | −9.25983 | − | 10.6864i | −0.309522 | − | 0.357208i | ||||
\(896\) | −28.3163 | − | 11.2075i | −0.945980 | − | 0.374416i | ||||
\(897\) | −8.66879 | + | 22.4503i | −0.289442 | + | 0.749595i | ||||
\(898\) | −9.86563 | − | 17.0878i | −0.329220 | − | 0.570226i | ||||
\(899\) | −2.33797 | − | 12.1305i | −0.0779757 | − | 0.404576i | ||||
\(900\) | 5.07932 | − | 2.61857i | 0.169311 | − | 0.0872856i | ||||
\(901\) | −1.02153 | − | 2.55167i | −0.0340322 | − | 0.0850084i | ||||
\(902\) | 7.08243 | − | 15.5084i | 0.235819 | − | 0.516372i | ||||
\(903\) | 8.59653 | − | 2.56083i | 0.286075 | − | 0.0852191i | ||||
\(904\) | −10.2847 | + | 35.0264i | −0.342064 | + | 1.16496i | ||||
\(905\) | −11.2737 | − | 5.81198i | −0.374749 | − | 0.193197i | ||||
\(906\) | −1.09338 | + | 11.4504i | −0.0363252 | + | 0.380414i | ||||
\(907\) | 22.3447 | + | 5.42077i | 0.741944 | + | 0.179994i | 0.588878 | − | 0.808222i | \(-0.299570\pi\) |
0.153067 | + | 0.988216i | \(0.451085\pi\) | |||||||
\(908\) | −2.34578 | − | 0.452112i | −0.0778474 | − | 0.0150039i | ||||
\(909\) | 11.0695 | + | 9.59181i | 0.367154 | + | 0.318140i | ||||
\(910\) | 8.33279 | − | 3.84502i | 0.276229 | − | 0.127461i | ||||
\(911\) | −22.1287 | + | 10.1058i | −0.733157 | + | 0.334821i | −0.746767 | − | 0.665086i | \(-0.768395\pi\) |
0.0136102 | + | 0.999907i | \(0.495668\pi\) | |||||||
\(912\) | −4.10087 | + | 7.95459i | −0.135794 | + | 0.263403i | ||||
\(913\) | −13.9194 | − | 14.5982i | −0.460664 | − | 0.483130i | ||||
\(914\) | 5.25995 | − | 13.1387i | 0.173984 | − | 0.434590i | ||||
\(915\) | −0.783641 | − | 8.20666i | −0.0259064 | − | 0.271304i | ||||
\(916\) | 2.41723 | − | 16.8122i | 0.0798676 | − | 0.555491i | ||||
\(917\) | 0.387959 | − | 0.278564i | 0.0128115 | − | 0.00919898i | ||||
\(918\) | 0.384769 | − | 0.333404i | 0.0126993 | − | 0.0110040i | ||||
\(919\) | −7.53286 | + | 4.34910i | −0.248486 | + | 0.143464i | −0.619071 | − | 0.785335i | \(-0.712491\pi\) |
0.370585 | + | 0.928799i | \(0.379157\pi\) | |||||||
\(920\) | 5.50479 | − | 11.0083i | 0.181487 | − | 0.362933i | ||||
\(921\) | −7.32504 | + | 12.6873i | −0.241368 | + | 0.418062i | ||||
\(922\) | 0.204829 | + | 0.0708919i | 0.00674567 | + | 0.00233470i | ||||
\(923\) | 19.8094 | − | 30.8240i | 0.652035 | − | 1.01459i | ||||
\(924\) | −8.24468 | − | 14.1517i | −0.271230 | − | 0.465558i | ||||
\(925\) | 14.2804 | + | 6.52164i | 0.469536 | + | 0.214430i | ||||
\(926\) | −12.6030 | + | 9.91112i | −0.414161 | + | 0.325700i | ||||
\(927\) | −10.5708 | + | 10.0792i | −0.347190 | + | 0.331045i | ||||
\(928\) | −0.456030 | − | 9.57325i | −0.0149699 | − | 0.314257i | ||||
\(929\) | −12.2943 | − | 8.75474i | −0.403363 | − | 0.287234i | 0.360315 | − | 0.932831i | \(-0.382669\pi\) |
−0.763678 | + | 0.645597i | \(0.776609\pi\) | |||||||
\(930\) | −4.48292 | + | 1.31630i | −0.147001 | + | 0.0431633i | ||||
\(931\) | 10.8409 | − | 24.2396i | 0.355296 | − | 0.794419i | ||||
\(932\) | −12.0732 | + | 13.9333i | −0.395472 | + | 0.456399i | ||||
\(933\) | 13.1484 | + | 12.5370i | 0.430461 | + | 0.410444i | ||||
\(934\) | 12.4953 | + | 1.19316i | 0.408859 | + | 0.0390413i | ||||
\(935\) | 4.42354 | − | 0.210719i | 0.144665 | − | 0.00689126i | ||||
\(936\) | 9.70323 | − | 2.35398i | 0.317160 | − | 0.0769422i | ||||
\(937\) | −0.0887981 | − | 0.617604i | −0.00290091 | − | 0.0201763i | 0.988320 | − | 0.152396i | \(-0.0486988\pi\) |
−0.991220 | + | 0.132219i | \(0.957790\pi\) | |||||||
\(938\) | 10.3526 | − | 2.55455i | 0.338026 | − | 0.0834091i | ||||
\(939\) | −29.3857 | − | 4.22503i | −0.958968 | − | 0.137879i | ||||
\(940\) | −8.09699 | − | 0.385707i | −0.264095 | − | 0.0125804i | ||||
\(941\) | −49.1148 | + | 9.46611i | −1.60110 | + | 0.308586i | −0.910138 | − | 0.414306i | \(-0.864024\pi\) |
−0.690961 | + | 0.722892i | \(0.742812\pi\) | |||||||
\(942\) | 5.32067 | + | 3.07189i | 0.173357 | + | 0.100088i | ||||
\(943\) | 42.2107 | − | 0.519421i | 1.37457 | − | 0.0169147i | ||||
\(944\) | 16.5523i | 0.538732i | ||||||||
\(945\) | 3.22042 | − | 1.12876i | 0.104760 | − | 0.0367185i | ||||
\(946\) | −5.52423 | − | 3.55021i | −0.179608 | − | 0.115427i | ||||
\(947\) | −51.6983 | + | 20.6969i | −1.67997 | + | 0.672558i | −0.998254 | − | 0.0590608i | \(-0.981189\pi\) |
−0.681714 | + | 0.731619i | \(0.738765\pi\) | |||||||
\(948\) | 3.43554 | + | 4.82453i | 0.111581 | + | 0.156694i | ||||
\(949\) | 2.10890 | + | 0.844274i | 0.0684576 | + | 0.0274063i | ||||
\(950\) | −1.59906 | − | 6.59141i | −0.0518803 | − | 0.213853i | ||||
\(951\) | −17.5105 | − | 27.2469i | −0.567817 | − | 0.883541i | ||||
\(952\) | −4.19662 | + | 2.72032i | −0.136013 | + | 0.0881660i | ||||
\(953\) | −8.85418 | − | 30.1546i | −0.286815 | − | 0.976802i | −0.969296 | − | 0.245898i | \(-0.920917\pi\) |
0.682481 | − | 0.730904i | \(-0.260901\pi\) | |||||||
\(954\) | −0.293436 | + | 1.52249i | −0.00950033 | + | 0.0492924i | ||||
\(955\) | 8.08846 | − | 2.79944i | 0.261737 | − | 0.0905879i | ||||
\(956\) | 6.82863 | − | 28.1480i | 0.220854 | − | 0.910371i | ||||
\(957\) | 3.83164 | − | 5.38078i | 0.123859 | − | 0.173936i | ||||
\(958\) | −13.9714 | + | 8.97887i | −0.451395 | + | 0.290094i | ||||
\(959\) | −5.24884 | − | 0.733671i | −0.169494 | − | 0.0236915i | ||||
\(960\) | 2.43622 | − | 0.350275i | 0.0786286 | − | 0.0113051i | ||||
\(961\) | 14.6211 | − | 1.39614i | 0.471647 | − | 0.0450369i | ||||
\(962\) | 9.94675 | + | 7.82221i | 0.320696 | + | 0.252198i | ||||
\(963\) | −6.42912 | − | 12.4708i | −0.207175 | − | 0.401864i | ||||
\(964\) | 14.9449 | − | 43.1803i | 0.481341 | − | 1.39074i | ||||
\(965\) | 21.1893 | 0.682108 | ||||||||
\(966\) | −3.85399 | + | 5.60239i | −0.124000 | + | 0.180254i | ||||
\(967\) | 29.7434 | 0.956482 | 0.478241 | − | 0.878229i | \(-0.341274\pi\) | ||||
0.478241 | + | 0.878229i | \(0.341274\pi\) | |||||||
\(968\) | −1.34222 | + | 3.87808i | −0.0431405 | + | 0.124646i | ||||
\(969\) | 1.65131 | + | 3.20309i | 0.0530476 | + | 0.102898i | ||||
\(970\) | 3.43297 | + | 2.69972i | 0.110226 | + | 0.0866827i | ||||
\(971\) | −24.7611 | + | 2.36440i | −0.794621 | + | 0.0758771i | −0.484467 | − | 0.874809i | \(-0.660987\pi\) |
−0.310154 | + | 0.950686i | \(0.600381\pi\) | |||||||
\(972\) | 1.69536 | − | 0.243756i | 0.0543787 | − | 0.00781848i | ||||
\(973\) | −6.88704 | − | 17.0094i | −0.220788 | − | 0.545295i | ||||
\(974\) | 6.28233 | − | 4.03741i | 0.201299 | − | 0.129367i | ||||
\(975\) | 9.71150 | − | 13.6379i | 0.311017 | − | 0.436762i | ||||
\(976\) | −3.55514 | + | 14.6545i | −0.113797 | + | 0.469078i | ||||
\(977\) | 8.44849 | − | 2.92405i | 0.270291 | − | 0.0935487i | −0.188560 | − | 0.982062i | \(-0.560382\pi\) |
0.458852 | + | 0.888513i | \(0.348261\pi\) | |||||||
\(978\) | 1.54253 | − | 8.00339i | 0.0493246 | − | 0.255920i | ||||
\(979\) | 10.4879 | + | 35.7185i | 0.335195 | + | 1.14157i | ||||
\(980\) | −15.1613 | + | 3.04562i | −0.484311 | + | 0.0972889i | ||||
\(981\) | 6.94887 | + | 10.8127i | 0.221860 | + | 0.345221i | ||||
\(982\) | 1.13448 | + | 4.67639i | 0.0362027 | + | 0.149230i | ||||
\(983\) | 7.69419 | + | 3.08029i | 0.245406 | + | 0.0982459i | 0.491105 | − | 0.871100i | \(-0.336593\pi\) |
−0.245699 | + | 0.969346i | \(0.579017\pi\) | |||||||
\(984\) | −10.1592 | − | 14.2666i | −0.323863 | − | 0.454802i | ||||
\(985\) | 7.77248 | − | 3.11163i | 0.247652 | − | 0.0991448i | ||||
\(986\) | −0.782799 | − | 0.503074i | −0.0249294 | − | 0.0160212i | ||||
\(987\) | 9.53982 | + | 1.79988i | 0.303656 | + | 0.0572907i | ||||
\(988\) | 32.6035i | 1.03725i | ||||||||
\(989\) | 2.11573 | − | 16.1210i | 0.0672763 | − | 0.512618i | ||||
\(990\) | −2.16353 | − | 1.24912i | −0.0687616 | − | 0.0396995i | ||||
\(991\) | −17.5055 | + | 3.37390i | −0.556080 | + | 0.107176i | −0.459546 | − | 0.888154i | \(-0.651988\pi\) |
−0.0965340 | + | 0.995330i | \(0.530776\pi\) | |||||||
\(992\) | 35.4044 | + | 1.68652i | 1.12409 | + | 0.0535470i | ||||
\(993\) | 1.40302 | + | 0.201724i | 0.0445235 | + | 0.00640152i | ||||
\(994\) | 7.46482 | − | 7.17379i | 0.236770 | − | 0.227539i | ||||
\(995\) | −2.05139 | − | 14.2677i | −0.0650334 | − | 0.452317i | ||||
\(996\) | −9.28956 | + | 2.25362i | −0.294351 | + | 0.0714088i | ||||
\(997\) | 0.965600 | − | 0.0459972i | 0.0305808 | − | 0.00145675i | −0.0322859 | − | 0.999479i | \(-0.510279\pi\) |
0.0628668 | + | 0.998022i | \(0.479976\pi\) | |||||||
\(998\) | 3.96999 | + | 0.379088i | 0.125668 | + | 0.0119998i | ||||
\(999\) | 3.40545 | + | 3.24709i | 0.107744 | + | 0.102733i |
(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 | 483.2.bf.a.10.14 | ✓ | 640 | |
7.5 | odd | 6 | inner | 483.2.bf.a.355.19 | yes | 640 | |
23.7 | odd | 22 | inner | 483.2.bf.a.283.19 | yes | 640 | |
161.145 | even | 66 | inner | 483.2.bf.a.145.14 | yes | 640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.bf.a.10.14 | ✓ | 640 | 1.1 | even | 1 | trivial | |
483.2.bf.a.145.14 | yes | 640 | 161.145 | even | 66 | inner | |
483.2.bf.a.283.19 | yes | 640 | 23.7 | odd | 22 | inner | |
483.2.bf.a.355.19 | yes | 640 | 7.5 | odd | 6 | inner |