Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [966,2,Mod(97,966)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(966, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("966.97");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 966.s (of order \(22\), degree \(10\), 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: | \(7.71354883526\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 181.3 | ||
Character | \(\chi\) | \(=\) | 966.181 |
Dual form | 966.2.s.a.475.3 |
$q$-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 \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(829\) | \(925\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{5}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.142315 | − | 0.989821i | −0.100632 | − | 0.699909i | ||||
\(3\) | −0.909632 | − | 0.415415i | −0.525176 | − | 0.239840i | ||||
\(4\) | −0.959493 | + | 0.281733i | −0.479746 | + | 0.140866i | ||||
\(5\) | −1.30557 | + | 1.50670i | −0.583867 | + | 0.673819i | −0.968432 | − | 0.249279i | \(-0.919806\pi\) |
0.384564 | + | 0.923098i | \(0.374352\pi\) | |||||||
\(6\) | −0.281733 | + | 0.959493i | −0.115017 | + | 0.391711i | ||||
\(7\) | 2.10508 | − | 1.60270i | 0.795645 | − | 0.605764i | ||||
\(8\) | 0.415415 | + | 0.909632i | 0.146871 | + | 0.321603i | ||||
\(9\) | 0.654861 | + | 0.755750i | 0.218287 | + | 0.251917i | ||||
\(10\) | 1.67717 | + | 1.07785i | 0.530368 | + | 0.340847i | ||||
\(11\) | −5.59475 | − | 0.804403i | −1.68688 | − | 0.242537i | −0.768959 | − | 0.639299i | \(-0.779225\pi\) |
−0.917922 | + | 0.396762i | \(0.870134\pi\) | |||||||
\(12\) | 0.989821 | + | 0.142315i | 0.285737 | + | 0.0410828i | ||||
\(13\) | 2.36808 | − | 3.68480i | 0.656786 | − | 1.02198i | −0.339886 | − | 0.940467i | \(-0.610389\pi\) |
0.996672 | − | 0.0815125i | \(-0.0259751\pi\) | |||||||
\(14\) | −1.88597 | − | 1.85556i | −0.504047 | − | 0.495920i | ||||
\(15\) | 1.81349 | − | 0.828195i | 0.468242 | − | 0.213839i | ||||
\(16\) | 0.841254 | − | 0.540641i | 0.210313 | − | 0.135160i | ||||
\(17\) | 6.51798 | + | 1.91385i | 1.58084 | + | 0.464177i | 0.950134 | − | 0.311842i | \(-0.100946\pi\) |
0.630709 | + | 0.776019i | \(0.282764\pi\) | |||||||
\(18\) | 0.654861 | − | 0.755750i | 0.154352 | − | 0.178132i | ||||
\(19\) | −0.721432 | + | 0.211831i | −0.165508 | + | 0.0485975i | −0.363437 | − | 0.931619i | \(-0.618397\pi\) |
0.197929 | + | 0.980216i | \(0.436579\pi\) | |||||||
\(20\) | 0.828195 | − | 1.81349i | 0.185190 | − | 0.405509i | ||||
\(21\) | −2.58063 | + | 0.583386i | −0.563140 | + | 0.127305i | ||||
\(22\) | 5.65228i | 1.20507i | ||||||||
\(23\) | −4.47709 | − | 1.71920i | −0.933538 | − | 0.358478i | ||||
\(24\) | − | 1.00000i | − | 0.204124i | ||||||
\(25\) | 0.145921 | + | 1.01490i | 0.0291841 | + | 0.202980i | ||||
\(26\) | −3.98430 | − | 1.81957i | −0.781386 | − | 0.356847i | ||||
\(27\) | −0.281733 | − | 0.959493i | −0.0542195 | − | 0.184655i | ||||
\(28\) | −1.56827 | + | 2.13085i | −0.296376 | + | 0.402692i | ||||
\(29\) | −8.03505 | − | 2.35930i | −1.49207 | − | 0.438112i | −0.568870 | − | 0.822428i | \(-0.692619\pi\) |
−0.923202 | + | 0.384316i | \(0.874437\pi\) | |||||||
\(30\) | −1.07785 | − | 1.67717i | −0.196788 | − | 0.306208i | ||||
\(31\) | −6.73834 | + | 3.07730i | −1.21024 | + | 0.552699i | −0.915283 | − | 0.402811i | \(-0.868033\pi\) |
−0.294959 | + | 0.955510i | \(0.595306\pi\) | |||||||
\(32\) | −0.654861 | − | 0.755750i | −0.115764 | − | 0.133599i | ||||
\(33\) | 4.75500 | + | 3.05585i | 0.827739 | + | 0.531956i | ||||
\(34\) | 0.966766 | − | 6.72401i | 0.165799 | − | 1.15316i | ||||
\(35\) | −0.333525 | + | 5.26416i | −0.0563760 | + | 0.889806i | ||||
\(36\) | −0.841254 | − | 0.540641i | −0.140209 | − | 0.0901068i | ||||
\(37\) | 1.80754 | − | 1.56625i | 0.297158 | − | 0.257489i | −0.493501 | − | 0.869745i | \(-0.664283\pi\) |
0.790660 | + | 0.612256i | \(0.209738\pi\) | |||||||
\(38\) | 0.312346 | + | 0.683942i | 0.0506692 | + | 0.110950i | ||||
\(39\) | −3.68480 | + | 2.36808i | −0.590040 | + | 0.379196i | ||||
\(40\) | −1.91290 | − | 0.561678i | −0.302456 | − | 0.0888091i | ||||
\(41\) | −8.72376 | − | 7.55918i | −1.36242 | − | 1.18055i | −0.964796 | − | 0.262998i | \(-0.915289\pi\) |
−0.397626 | − | 0.917548i | \(-0.630166\pi\) | |||||||
\(42\) | 0.944710 | + | 2.47134i | 0.145772 | + | 0.381336i | ||||
\(43\) | −8.11086 | − | 3.70410i | −1.23689 | − | 0.564871i | −0.313816 | − | 0.949484i | \(-0.601608\pi\) |
−0.923078 | + | 0.384613i | \(0.874335\pi\) | |||||||
\(44\) | 5.59475 | − | 0.804403i | 0.843440 | − | 0.121268i | ||||
\(45\) | −1.99366 | −0.297197 | ||||||||
\(46\) | −1.06454 | + | 4.67619i | −0.156958 | + | 0.689467i | ||||
\(47\) | 8.92364i | 1.30165i | 0.759229 | + | 0.650823i | \(0.225576\pi\) | ||||
−0.759229 | + | 0.650823i | \(0.774424\pi\) | |||||||
\(48\) | −0.989821 | + | 0.142315i | −0.142868 | + | 0.0205414i | ||||
\(49\) | 1.86271 | − | 6.74762i | 0.266101 | − | 0.963945i | ||||
\(50\) | 0.983803 | − | 0.288871i | 0.139131 | − | 0.0408525i | ||||
\(51\) | −5.13392 | − | 4.44857i | −0.718893 | − | 0.622924i | ||||
\(52\) | −1.23402 | + | 4.20270i | −0.171128 | + | 0.582810i | ||||
\(53\) | 2.91021 | + | 4.52838i | 0.399748 | + | 0.622020i | 0.981526 | − | 0.191327i | \(-0.0612791\pi\) |
−0.581778 | + | 0.813348i | \(0.697643\pi\) | |||||||
\(54\) | −0.909632 | + | 0.415415i | −0.123785 | + | 0.0565308i | ||||
\(55\) | 8.51632 | − | 7.37943i | 1.14834 | − | 0.995042i | ||||
\(56\) | 2.33235 | + | 1.24906i | 0.311673 | + | 0.166913i | ||||
\(57\) | 0.744235 | + | 0.107005i | 0.0985764 | + | 0.0141731i | ||||
\(58\) | −1.19178 | + | 8.28903i | −0.156489 | + | 1.08840i | ||||
\(59\) | −5.04989 | + | 7.85779i | −0.657440 | + | 1.02300i | 0.339170 | + | 0.940725i | \(0.389854\pi\) |
−0.996610 | + | 0.0822715i | \(0.973783\pi\) | |||||||
\(60\) | −1.50670 | + | 1.30557i | −0.194515 | + | 0.168548i | ||||
\(61\) | −2.86290 | − | 6.26888i | −0.366557 | − | 0.802648i | −0.999593 | − | 0.0285256i | \(-0.990919\pi\) |
0.633036 | − | 0.774122i | \(-0.281808\pi\) | |||||||
\(62\) | 4.00494 | + | 6.23181i | 0.508628 | + | 0.791441i | ||||
\(63\) | 2.58977 | + | 0.541367i | 0.326281 | + | 0.0682058i | ||||
\(64\) | −0.654861 | + | 0.755750i | −0.0818576 | + | 0.0944687i | ||||
\(65\) | 2.46022 | + | 8.37874i | 0.305153 | + | 1.03925i | ||||
\(66\) | 2.34804 | − | 5.14150i | 0.289024 | − | 0.632874i | ||||
\(67\) | −6.35909 | + | 0.914298i | −0.776886 | + | 0.111699i | −0.519341 | − | 0.854567i | \(-0.673823\pi\) |
−0.257545 | + | 0.966266i | \(0.582913\pi\) | |||||||
\(68\) | −6.79315 | −0.823791 | ||||||||
\(69\) | 3.35833 | + | 3.42369i | 0.404295 | + | 0.412164i | ||||
\(70\) | 5.25805 | − | 0.419038i | 0.628457 | − | 0.0500846i | ||||
\(71\) | −0.385612 | − | 2.68199i | −0.0457638 | − | 0.318294i | −0.999825 | − | 0.0186837i | \(-0.994052\pi\) |
0.954062 | − | 0.299610i | \(-0.0968566\pi\) | |||||||
\(72\) | −0.415415 | + | 0.909632i | −0.0489571 | + | 0.107201i | ||||
\(73\) | −0.959829 | − | 3.26888i | −0.112339 | − | 0.382593i | 0.884060 | − | 0.467373i | \(-0.154799\pi\) |
−0.996400 | + | 0.0847798i | \(0.972981\pi\) | |||||||
\(74\) | −1.80754 | − | 1.56625i | −0.210123 | − | 0.182072i | ||||
\(75\) | 0.288871 | − | 0.983803i | 0.0333559 | − | 0.113600i | ||||
\(76\) | 0.632529 | − | 0.406502i | 0.0725560 | − | 0.0466289i | ||||
\(77\) | −13.0666 | + | 7.27337i | −1.48908 | + | 0.828877i | ||||
\(78\) | 2.86837 | + | 3.31028i | 0.324779 | + | 0.374815i | ||||
\(79\) | −9.34521 | + | 14.5414i | −1.05142 | + | 1.63604i | −0.329362 | + | 0.944204i | \(0.606834\pi\) |
−0.722056 | + | 0.691835i | \(0.756803\pi\) | |||||||
\(80\) | −0.283727 | + | 1.97336i | −0.0317216 | + | 0.220629i | ||||
\(81\) | −0.142315 | + | 0.989821i | −0.0158128 | + | 0.109980i | ||||
\(82\) | −6.24072 | + | 9.71075i | −0.689172 | + | 1.07237i | ||||
\(83\) | 2.98441 | + | 3.44419i | 0.327581 | + | 0.378049i | 0.895520 | − | 0.445022i | \(-0.146804\pi\) |
−0.567938 | + | 0.823071i | \(0.692259\pi\) | |||||||
\(84\) | 2.31174 | − | 1.28680i | 0.252231 | − | 0.140402i | ||||
\(85\) | −11.3933 | + | 7.32201i | −1.23577 | + | 0.794184i | ||||
\(86\) | −2.51211 | + | 8.55545i | −0.270887 | + | 0.922558i | ||||
\(87\) | 6.32885 | + | 5.48398i | 0.678524 | + | 0.587944i | ||||
\(88\) | −1.59243 | − | 5.42332i | −0.169754 | − | 0.578128i | ||||
\(89\) | 2.71978 | − | 5.95548i | 0.288296 | − | 0.631279i | −0.708965 | − | 0.705243i | \(-0.750838\pi\) |
0.997261 | + | 0.0739639i | \(0.0235650\pi\) | |||||||
\(90\) | 0.283727 | + | 1.97336i | 0.0299074 | + | 0.208011i | ||||
\(91\) | −0.920640 | − | 11.5521i | −0.0965093 | − | 1.21099i | ||||
\(92\) | 4.78009 | + | 0.388216i | 0.498359 | + | 0.0404743i | ||||
\(93\) | 7.40777 | 0.768150 | ||||||||
\(94\) | 8.83281 | − | 1.26997i | 0.911035 | − | 0.130987i | ||||
\(95\) | 0.622710 | − | 1.36354i | 0.0638887 | − | 0.139897i | ||||
\(96\) | 0.281733 | + | 0.959493i | 0.0287542 | + | 0.0979278i | ||||
\(97\) | 2.35988 | − | 2.72345i | 0.239610 | − | 0.276524i | −0.623190 | − | 0.782071i | \(-0.714164\pi\) |
0.862799 | + | 0.505546i | \(0.168709\pi\) | |||||||
\(98\) | −6.94403 | − | 0.883461i | −0.701453 | − | 0.0892431i | ||||
\(99\) | −3.05585 | − | 4.75500i | −0.307125 | − | 0.477896i | ||||
\(100\) | −0.425940 | − | 0.932679i | −0.0425940 | − | 0.0932679i | ||||
\(101\) | 2.44827 | − | 2.12144i | 0.243612 | − | 0.211091i | −0.524493 | − | 0.851415i | \(-0.675745\pi\) |
0.768105 | + | 0.640323i | \(0.221200\pi\) | |||||||
\(102\) | −3.67266 | + | 5.71476i | −0.363647 | + | 0.565846i | ||||
\(103\) | 0.524155 | − | 3.64558i | 0.0516465 | − | 0.359210i | −0.947567 | − | 0.319557i | \(-0.896466\pi\) |
0.999214 | − | 0.0396524i | \(-0.0126251\pi\) | |||||||
\(104\) | 4.33554 | + | 0.623357i | 0.425135 | + | 0.0611252i | ||||
\(105\) | 2.49020 | − | 4.64990i | 0.243018 | − | 0.453784i | ||||
\(106\) | 4.06812 | − | 3.52504i | 0.395131 | − | 0.342383i | ||||
\(107\) | 2.72713 | − | 1.24544i | 0.263642 | − | 0.120401i | −0.279209 | − | 0.960230i | \(-0.590072\pi\) |
0.542851 | + | 0.839829i | \(0.317345\pi\) | |||||||
\(108\) | 0.540641 | + | 0.841254i | 0.0520232 | + | 0.0809497i | ||||
\(109\) | 0.481994 | − | 1.64152i | 0.0461667 | − | 0.157229i | −0.933184 | − | 0.359400i | \(-0.882981\pi\) |
0.979350 | + | 0.202171i | \(0.0647996\pi\) | |||||||
\(110\) | −8.51632 | − | 7.37943i | −0.811999 | − | 0.703601i | ||||
\(111\) | −2.29484 | + | 0.673826i | −0.217817 | + | 0.0639567i | ||||
\(112\) | 0.904419 | − | 2.48637i | 0.0854596 | − | 0.234940i | ||||
\(113\) | −1.53569 | + | 0.220799i | −0.144466 | + | 0.0207711i | −0.214168 | − | 0.976797i | \(-0.568704\pi\) |
0.0697025 | + | 0.997568i | \(0.477795\pi\) | |||||||
\(114\) | − | 0.751889i | − | 0.0704208i | ||||||
\(115\) | 8.43547 | − | 4.50113i | 0.786611 | − | 0.419732i | ||||
\(116\) | 8.37427 | 0.777531 | ||||||||
\(117\) | 4.33554 | − | 0.623357i | 0.400821 | − | 0.0576294i | ||||
\(118\) | 8.49648 | + | 3.88021i | 0.782164 | + | 0.357202i | ||||
\(119\) | 16.7882 | − | 6.41756i | 1.53897 | − | 0.588297i | ||||
\(120\) | 1.50670 | + | 1.30557i | 0.137543 | + | 0.119181i | ||||
\(121\) | 20.0997 | + | 5.90181i | 1.82725 | + | 0.536528i | ||||
\(122\) | −5.79764 | + | 3.72592i | −0.524894 | + | 0.337329i | ||||
\(123\) | 4.79521 | + | 10.5001i | 0.432370 | + | 0.946758i | ||||
\(124\) | 5.59842 | − | 4.85106i | 0.502753 | − | 0.435638i | ||||
\(125\) | −10.1055 | − | 6.49442i | −0.903865 | − | 0.580879i | ||||
\(126\) | 0.167293 | − | 2.64046i | 0.0149037 | − | 0.235231i | ||||
\(127\) | 1.51306 | − | 10.5236i | 0.134262 | − | 0.933816i | −0.805648 | − | 0.592395i | \(-0.798183\pi\) |
0.939910 | − | 0.341421i | \(-0.110908\pi\) | |||||||
\(128\) | 0.841254 | + | 0.540641i | 0.0743570 | + | 0.0477863i | ||||
\(129\) | 5.83916 | + | 6.73874i | 0.514109 | + | 0.593313i | ||||
\(130\) | 7.94333 | − | 3.62760i | 0.696676 | − | 0.318161i | ||||
\(131\) | −2.43810 | − | 3.79376i | −0.213018 | − | 0.331463i | 0.718258 | − | 0.695777i | \(-0.244940\pi\) |
−0.931276 | + | 0.364314i | \(0.881303\pi\) | |||||||
\(132\) | −5.42332 | − | 1.59243i | −0.472040 | − | 0.138603i | ||||
\(133\) | −1.17917 | + | 1.60216i | −0.102247 | + | 0.138925i | ||||
\(134\) | 1.80998 | + | 6.16424i | 0.156359 | + | 0.532509i | ||||
\(135\) | 1.81349 | + | 0.828195i | 0.156081 | + | 0.0712796i | ||||
\(136\) | 0.966766 | + | 6.72401i | 0.0828995 | + | 0.576579i | ||||
\(137\) | − | 6.63603i | − | 0.566954i | −0.958979 | − | 0.283477i | \(-0.908512\pi\) | ||
0.958979 | − | 0.283477i | \(-0.0914880\pi\) | |||||||
\(138\) | 2.91090 | − | 3.81138i | 0.247792 | − | 0.324447i | ||||
\(139\) | 0.321449i | 0.0272649i | 0.999907 | + | 0.0136325i | \(0.00433948\pi\) | ||||
−0.999907 | + | 0.0136325i | \(0.995661\pi\) | |||||||
\(140\) | −1.16307 | − | 5.14489i | −0.0982974 | − | 0.434823i | ||||
\(141\) | 3.70701 | − | 8.11723i | 0.312187 | − | 0.683594i | ||||
\(142\) | −2.59982 | + | 0.763375i | −0.218172 | + | 0.0640610i | ||||
\(143\) | −16.2129 | + | 18.7106i | −1.35579 | + | 1.56466i | ||||
\(144\) | 0.959493 | + | 0.281733i | 0.0799577 | + | 0.0234777i | ||||
\(145\) | 14.0451 | − | 9.02622i | 1.16638 | − | 0.749587i | ||||
\(146\) | −3.09901 | + | 1.41527i | −0.256476 | + | 0.117129i | ||||
\(147\) | −4.49744 | + | 5.36405i | −0.370942 | + | 0.442419i | ||||
\(148\) | −1.29306 | + | 2.01205i | −0.106289 | + | 0.165389i | ||||
\(149\) | −17.3867 | − | 2.49983i | −1.42437 | − | 0.204794i | −0.613353 | − | 0.789809i | \(-0.710179\pi\) |
−0.811022 | + | 0.585015i | \(0.801089\pi\) | |||||||
\(150\) | −1.01490 | − | 0.145921i | −0.0828662 | − | 0.0119144i | ||||
\(151\) | 8.49205 | + | 5.45751i | 0.691073 | + | 0.444126i | 0.838467 | − | 0.544952i | \(-0.183452\pi\) |
−0.147394 | + | 0.989078i | \(0.547089\pi\) | |||||||
\(152\) | −0.492382 | − | 0.568239i | −0.0399375 | − | 0.0460903i | ||||
\(153\) | 2.82198 | + | 6.17927i | 0.228143 | + | 0.499564i | ||||
\(154\) | 9.05891 | + | 11.8985i | 0.729988 | + | 0.958808i | ||||
\(155\) | 4.16078 | − | 14.1703i | 0.334202 | − | 1.13819i | ||||
\(156\) | 2.86837 | − | 3.31028i | 0.229654 | − | 0.265034i | ||||
\(157\) | 9.19179 | − | 2.69895i | 0.733585 | − | 0.215400i | 0.106458 | − | 0.994317i | \(-0.466049\pi\) |
0.627127 | + | 0.778917i | \(0.284231\pi\) | |||||||
\(158\) | 15.7234 | + | 7.18063i | 1.25088 | + | 0.571260i | ||||
\(159\) | −0.766065 | − | 5.32810i | −0.0607529 | − | 0.422546i | ||||
\(160\) | 1.99366 | 0.157612 | ||||||||
\(161\) | −12.1800 | + | 3.55639i | −0.959917 | + | 0.280283i | ||||
\(162\) | 1.00000 | 0.0785674 | ||||||||
\(163\) | −1.52676 | − | 10.6188i | −0.119585 | − | 0.831732i | −0.958014 | − | 0.286721i | \(-0.907435\pi\) |
0.838429 | − | 0.545011i | \(-0.183474\pi\) | |||||||
\(164\) | 10.5001 | + | 4.79521i | 0.819916 | + | 0.374443i | ||||
\(165\) | −10.8122 | + | 3.17476i | −0.841732 | + | 0.247155i | ||||
\(166\) | 2.98441 | − | 3.44419i | 0.231635 | − | 0.267321i | ||||
\(167\) | 3.30370 | − | 11.2514i | 0.255648 | − | 0.870658i | −0.727229 | − | 0.686395i | \(-0.759192\pi\) |
0.982877 | − | 0.184263i | \(-0.0589897\pi\) | |||||||
\(168\) | −1.60270 | − | 2.10508i | −0.123651 | − | 0.162410i | ||||
\(169\) | −2.56956 | − | 5.62655i | −0.197658 | − | 0.432811i | ||||
\(170\) | 8.86892 | + | 10.2353i | 0.680215 | + | 0.785010i | ||||
\(171\) | −0.632529 | − | 0.406502i | −0.0483707 | − | 0.0310860i | ||||
\(172\) | 8.82588 | + | 1.26897i | 0.672967 | + | 0.0967580i | ||||
\(173\) | −7.56161 | − | 1.08719i | −0.574898 | − | 0.0826579i | −0.151268 | − | 0.988493i | \(-0.548336\pi\) |
−0.423631 | + | 0.905835i | \(0.639245\pi\) | |||||||
\(174\) | 4.52747 | − | 7.04488i | 0.343227 | − | 0.534071i | ||||
\(175\) | 1.93375 | + | 1.90258i | 0.146178 | + | 0.143821i | ||||
\(176\) | −5.14150 | + | 2.34804i | −0.387555 | + | 0.176990i | ||||
\(177\) | 7.85779 | − | 5.04989i | 0.590627 | − | 0.379573i | ||||
\(178\) | −6.28193 | − | 1.84454i | −0.470850 | − | 0.138254i | ||||
\(179\) | −12.6908 | + | 14.6459i | −0.948553 | + | 1.09469i | 0.0468488 | + | 0.998902i | \(0.485082\pi\) |
−0.995402 | + | 0.0957866i | \(0.969463\pi\) | |||||||
\(180\) | 1.91290 | − | 0.561678i | 0.142579 | − | 0.0418650i | ||||
\(181\) | 1.79138 | − | 3.92257i | 0.133152 | − | 0.291562i | −0.831298 | − | 0.555826i | \(-0.812402\pi\) |
0.964450 | + | 0.264264i | \(0.0851292\pi\) | |||||||
\(182\) | −11.3035 | + | 2.55531i | −0.837871 | + | 0.189412i | ||||
\(183\) | 6.89167i | 0.509447i | ||||||||
\(184\) | −0.296014 | − | 4.78669i | −0.0218224 | − | 0.352879i | ||||
\(185\) | 4.76827i | 0.350570i | ||||||||
\(186\) | −1.05424 | − | 7.33237i | −0.0773003 | − | 0.537635i | ||||
\(187\) | −34.9270 | − | 15.9506i | −2.55411 | − | 1.16642i | ||||
\(188\) | −2.51408 | − | 8.56217i | −0.183358 | − | 0.624460i | ||||
\(189\) | −2.13085 | − | 1.56827i | −0.154996 | − | 0.114075i | ||||
\(190\) | −1.43829 | − | 0.422319i | −0.104344 | − | 0.0306382i | ||||
\(191\) | −11.8527 | − | 18.4432i | −0.857635 | − | 1.33451i | −0.941147 | − | 0.337999i | \(-0.890250\pi\) |
0.0835119 | − | 0.996507i | \(-0.473386\pi\) | |||||||
\(192\) | 0.909632 | − | 0.415415i | 0.0656470 | − | 0.0299800i | ||||
\(193\) | −7.87126 | − | 9.08392i | −0.566586 | − | 0.653875i | 0.398080 | − | 0.917351i | \(-0.369677\pi\) |
−0.964666 | + | 0.263476i | \(0.915131\pi\) | |||||||
\(194\) | −3.03158 | − | 1.94828i | −0.217654 | − | 0.139878i | ||||
\(195\) | 1.24276 | − | 8.64358i | 0.0889959 | − | 0.618980i | ||||
\(196\) | 0.113769 | + | 6.99908i | 0.00812636 | + | 0.499934i | ||||
\(197\) | 11.3599 | + | 7.30059i | 0.809363 | + | 0.520146i | 0.878659 | − | 0.477450i | \(-0.158439\pi\) |
−0.0692962 | + | 0.997596i | \(0.522075\pi\) | |||||||
\(198\) | −4.27171 | + | 3.70146i | −0.303577 | + | 0.263051i | ||||
\(199\) | 3.32999 | + | 7.29166i | 0.236057 | + | 0.516892i | 0.990173 | − | 0.139849i | \(-0.0446617\pi\) |
−0.754116 | + | 0.656741i | \(0.771934\pi\) | |||||||
\(200\) | −0.862568 | + | 0.554339i | −0.0609928 | + | 0.0391977i | ||||
\(201\) | 6.16424 | + | 1.80998i | 0.434792 | + | 0.127666i | ||||
\(202\) | −2.44827 | − | 2.12144i | −0.172260 | − | 0.149264i | ||||
\(203\) | −20.6957 | + | 7.91126i | −1.45255 | + | 0.555261i | ||||
\(204\) | 6.17927 | + | 2.82198i | 0.432635 | + | 0.197578i | ||||
\(205\) | 22.7789 | − | 3.27511i | 1.59095 | − | 0.228744i | ||||
\(206\) | −3.68307 | −0.256611 | ||||||||
\(207\) | −1.63259 | − | 4.50940i | −0.113473 | − | 0.313425i | ||||
\(208\) | − | 4.38013i | − | 0.303707i | ||||||
\(209\) | 4.20663 | − | 0.604822i | 0.290978 | − | 0.0418364i | ||||
\(210\) | −4.95696 | − | 1.80310i | −0.342063 | − | 0.124426i | ||||
\(211\) | 6.99203 | − | 2.05305i | 0.481351 | − | 0.141337i | −0.0320498 | − | 0.999486i | \(-0.510204\pi\) |
0.513401 | + | 0.858149i | \(0.328385\pi\) | |||||||
\(212\) | −4.06812 | − | 3.52504i | −0.279400 | − | 0.242101i | ||||
\(213\) | −0.763375 | + | 2.59982i | −0.0523056 | + | 0.178136i | ||||
\(214\) | −1.62087 | − | 2.52213i | −0.110801 | − | 0.172409i | ||||
\(215\) | 16.1703 | − | 7.38471i | 1.10280 | − | 0.503633i | ||||
\(216\) | 0.755750 | − | 0.654861i | 0.0514222 | − | 0.0445576i | ||||
\(217\) | −9.25275 | + | 17.2775i | −0.628118 | + | 1.17287i | ||||
\(218\) | −1.69341 | − | 0.243475i | −0.114692 | − | 0.0164902i | ||||
\(219\) | −0.484850 | + | 3.37220i | −0.0327631 | + | 0.227872i | ||||
\(220\) | −6.09232 | + | 9.47984i | −0.410744 | + | 0.639130i | ||||
\(221\) | 22.4872 | − | 19.4853i | 1.51266 | − | 1.31072i | ||||
\(222\) | 0.993557 | + | 2.17559i | 0.0666832 | + | 0.146016i | ||||
\(223\) | 7.29450 | + | 11.3505i | 0.488476 | + | 0.760083i | 0.994755 | − | 0.102286i | \(-0.0326158\pi\) |
−0.506279 | + | 0.862370i | \(0.668979\pi\) | |||||||
\(224\) | −2.58977 | − | 0.541367i | −0.173036 | − | 0.0361716i | ||||
\(225\) | −0.671453 | + | 0.774898i | −0.0447635 | + | 0.0516598i | ||||
\(226\) | 0.437104 | + | 1.48864i | 0.0290757 | + | 0.0990228i | ||||
\(227\) | 4.39638 | − | 9.62674i | 0.291798 | − | 0.638949i | −0.705785 | − | 0.708426i | \(-0.749406\pi\) |
0.997584 | + | 0.0694766i | \(0.0221329\pi\) | |||||||
\(228\) | −0.744235 | + | 0.107005i | −0.0492882 | + | 0.00708657i | ||||
\(229\) | −11.3543 | −0.750312 | −0.375156 | − | 0.926962i | \(-0.622411\pi\) | ||||
−0.375156 | + | 0.926962i | \(0.622411\pi\) | |||||||
\(230\) | −5.65580 | − | 7.70903i | −0.372933 | − | 0.508318i | ||||
\(231\) | 14.9073 | − | 1.18803i | 0.980826 | − | 0.0781666i | ||||
\(232\) | −1.19178 | − | 8.28903i | −0.0782444 | − | 0.544201i | ||||
\(233\) | 5.70870 | − | 12.5003i | 0.373989 | − | 0.818922i | −0.625269 | − | 0.780409i | \(-0.715011\pi\) |
0.999258 | − | 0.0385128i | \(-0.0122620\pi\) | |||||||
\(234\) | −1.23402 | − | 4.20270i | −0.0806707 | − | 0.274739i | ||||
\(235\) | −13.4453 | − | 11.6504i | −0.877074 | − | 0.759989i | ||||
\(236\) | 2.63154 | − | 8.96221i | 0.171299 | − | 0.583390i | ||||
\(237\) | 14.5414 | − | 9.34521i | 0.944567 | − | 0.607036i | ||||
\(238\) | −8.74145 | − | 15.7040i | −0.566624 | − | 1.01794i | ||||
\(239\) | −0.227837 | − | 0.262937i | −0.0147375 | − | 0.0170080i | 0.748333 | − | 0.663323i | \(-0.230855\pi\) |
−0.763070 | + | 0.646315i | \(0.776309\pi\) | |||||||
\(240\) | 1.07785 | − | 1.67717i | 0.0695750 | − | 0.108261i | ||||
\(241\) | −2.14494 | + | 14.9184i | −0.138168 | + | 0.960978i | 0.796293 | + | 0.604912i | \(0.206792\pi\) |
−0.934461 | + | 0.356067i | \(0.884118\pi\) | |||||||
\(242\) | 2.98125 | − | 20.7351i | 0.191642 | − | 1.33290i | ||||
\(243\) | 0.540641 | − | 0.841254i | 0.0346821 | − | 0.0539664i | ||||
\(244\) | 4.51308 | + | 5.20837i | 0.288920 | + | 0.333432i | ||||
\(245\) | 7.73478 | + | 11.6160i | 0.494157 | + | 0.742120i | ||||
\(246\) | 9.71075 | − | 6.24072i | 0.619135 | − | 0.397894i | ||||
\(247\) | −0.927849 | + | 3.15996i | −0.0590376 | + | 0.201064i | ||||
\(248\) | −5.59842 | − | 4.85106i | −0.355500 | − | 0.308042i | ||||
\(249\) | −1.28394 | − | 4.37271i | −0.0813667 | − | 0.277110i | ||||
\(250\) | −4.99015 | + | 10.9269i | −0.315605 | + | 0.691078i | ||||
\(251\) | −3.24222 | − | 22.5501i | −0.204647 | − | 1.42335i | −0.790266 | − | 0.612764i | \(-0.790057\pi\) |
0.585619 | − | 0.810587i | \(-0.300852\pi\) | |||||||
\(252\) | −2.63739 | + | 0.210186i | −0.166140 | + | 0.0132405i | ||||
\(253\) | 23.6653 | + | 13.2199i | 1.48782 | + | 0.831126i | ||||
\(254\) | −10.6318 | −0.667098 | ||||||||
\(255\) | 13.4054 | − | 1.92740i | 0.839476 | − | 0.120698i | ||||
\(256\) | 0.415415 | − | 0.909632i | 0.0259634 | − | 0.0568520i | ||||
\(257\) | 8.21357 | + | 27.9728i | 0.512348 | + | 1.74490i | 0.655498 | + | 0.755197i | \(0.272459\pi\) |
−0.143149 | + | 0.989701i | \(0.545723\pi\) | |||||||
\(258\) | 5.83916 | − | 6.73874i | 0.363530 | − | 0.419536i | ||||
\(259\) | 1.29480 | − | 6.19402i | 0.0804549 | − | 0.384878i | ||||
\(260\) | −4.72113 | − | 7.34622i | −0.292792 | − | 0.455593i | ||||
\(261\) | −3.47880 | − | 7.61750i | −0.215332 | − | 0.471512i | ||||
\(262\) | −3.40817 | + | 2.95320i | −0.210558 | + | 0.182449i | ||||
\(263\) | 13.6196 | − | 21.1926i | 0.839823 | − | 1.30679i | −0.109977 | − | 0.993934i | \(-0.535078\pi\) |
0.949800 | − | 0.312856i | \(-0.101286\pi\) | |||||||
\(264\) | −0.804403 | + | 5.59475i | −0.0495076 | + | 0.344333i | ||||
\(265\) | −10.6224 | − | 1.52727i | −0.652529 | − | 0.0938195i | ||||
\(266\) | 1.75367 | + | 0.939154i | 0.107524 | + | 0.0575833i | ||||
\(267\) | −4.94799 | + | 4.28746i | −0.302812 | + | 0.262388i | ||||
\(268\) | 5.84391 | − | 2.66882i | 0.356974 | − | 0.163024i | ||||
\(269\) | 14.7559 | + | 22.9606i | 0.899681 | + | 1.39993i | 0.916483 | + | 0.400072i | \(0.131015\pi\) |
−0.0168023 | + | 0.999859i | \(0.505349\pi\) | |||||||
\(270\) | 0.561678 | − | 1.91290i | 0.0341826 | − | 0.116415i | ||||
\(271\) | 22.1386 | + | 19.1832i | 1.34482 | + | 1.16529i | 0.971350 | + | 0.237653i | \(0.0763780\pi\) |
0.373471 | + | 0.927642i | \(0.378167\pi\) | |||||||
\(272\) | 6.51798 | − | 1.91385i | 0.395211 | − | 0.116044i | ||||
\(273\) | −3.96147 | + | 10.8906i | −0.239759 | + | 0.659130i | ||||
\(274\) | −6.56848 | + | 0.944405i | −0.396816 | + | 0.0570536i | ||||
\(275\) | − | 5.79549i | − | 0.349481i | ||||||
\(276\) | −4.18685 | − | 2.33886i | −0.252019 | − | 0.140783i | ||||
\(277\) | −26.5187 | −1.59336 | −0.796678 | − | 0.604404i | \(-0.793411\pi\) | ||||
−0.796678 | + | 0.604404i | \(0.793411\pi\) | |||||||
\(278\) | 0.318177 | − | 0.0457469i | 0.0190830 | − | 0.00274372i | ||||
\(279\) | −6.73834 | − | 3.07730i | −0.403414 | − | 0.184233i | ||||
\(280\) | −4.92700 | + | 1.88343i | −0.294445 | + | 0.112556i | ||||
\(281\) | 16.4393 | + | 14.2447i | 0.980686 | + | 0.849770i | 0.988656 | − | 0.150199i | \(-0.0479913\pi\) |
−0.00796935 | + | 0.999968i | \(0.502537\pi\) | |||||||
\(282\) | −8.56217 | − | 2.51408i | −0.509870 | − | 0.149711i | ||||
\(283\) | −1.68007 | + | 1.07972i | −0.0998698 | + | 0.0641824i | −0.589622 | − | 0.807679i | \(-0.700723\pi\) |
0.489753 | + | 0.871861i | \(0.337087\pi\) | |||||||
\(284\) | 1.12560 | + | 2.46471i | 0.0667919 | + | 0.146254i | ||||
\(285\) | −1.13287 | + | 0.981641i | −0.0671057 | + | 0.0581474i | ||||
\(286\) | 20.8275 | + | 13.3850i | 1.23156 | + | 0.791473i | ||||
\(287\) | −30.4793 | − | 1.93110i | −1.79914 | − | 0.113989i | ||||
\(288\) | 0.142315 | − | 0.989821i | 0.00838598 | − | 0.0583258i | ||||
\(289\) | 24.5200 | + | 15.7580i | 1.44235 | + | 0.926942i | ||||
\(290\) | −10.9332 | − | 12.6175i | −0.642018 | − | 0.740928i | ||||
\(291\) | −3.27799 | + | 1.49701i | −0.192159 | + | 0.0877561i | ||||
\(292\) | 1.84190 | + | 2.86605i | 0.107789 | + | 0.167723i | ||||
\(293\) | 18.7140 | + | 5.49492i | 1.09328 | + | 0.321017i | 0.778180 | − | 0.628041i | \(-0.216143\pi\) |
0.315102 | + | 0.949058i | \(0.397961\pi\) | |||||||
\(294\) | 5.94951 | + | 3.68828i | 0.346982 | + | 0.215105i | ||||
\(295\) | −5.24639 | − | 17.8676i | −0.305457 | − | 1.04029i | ||||
\(296\) | 2.17559 | + | 0.993557i | 0.126453 | + | 0.0577494i | ||||
\(297\) | 0.804403 | + | 5.59475i | 0.0466762 | + | 0.324640i | ||||
\(298\) | 17.5655i | 1.01754i | ||||||||
\(299\) | −16.9370 | + | 12.4260i | −0.979492 | + | 0.718614i | ||||
\(300\) | 1.02534i | 0.0591978i | ||||||||
\(301\) | −23.0106 | + | 5.20184i | −1.32631 | + | 0.299829i | ||||
\(302\) | 4.19341 | − | 9.18230i | 0.241304 | − | 0.528382i | ||||
\(303\) | −3.10831 | + | 0.912682i | −0.178568 | + | 0.0524322i | ||||
\(304\) | −0.492382 | + | 0.568239i | −0.0282401 | + | 0.0325908i | ||||
\(305\) | 13.1831 | + | 3.87090i | 0.754860 | + | 0.221647i | ||||
\(306\) | 5.71476 | − | 3.67266i | 0.326691 | − | 0.209952i | ||||
\(307\) | 13.5705 | − | 6.19744i | 0.774510 | − | 0.353707i | 0.0113660 | − | 0.999935i | \(-0.496382\pi\) |
0.763144 | + | 0.646229i | \(0.223655\pi\) | |||||||
\(308\) | 10.4882 | − | 10.6600i | 0.597619 | − | 0.607412i | ||||
\(309\) | −1.99122 | + | 3.09839i | −0.113276 | + | 0.176261i | ||||
\(310\) | −14.6182 | − | 2.10178i | −0.830259 | − | 0.119373i | ||||
\(311\) | −2.61272 | − | 0.375653i | −0.148154 | − | 0.0213013i | 0.0678388 | − | 0.997696i | \(-0.478390\pi\) |
−0.215993 | + | 0.976395i | \(0.569299\pi\) | |||||||
\(312\) | −3.68480 | − | 2.36808i | −0.208611 | − | 0.134066i | ||||
\(313\) | 3.10213 | + | 3.58005i | 0.175343 | + | 0.202356i | 0.836618 | − | 0.547787i | \(-0.184530\pi\) |
−0.661275 | + | 0.750144i | \(0.729984\pi\) | |||||||
\(314\) | −3.97961 | − | 8.71413i | −0.224582 | − | 0.491767i | ||||
\(315\) | −4.19680 | + | 3.19523i | −0.236463 | + | 0.180031i | ||||
\(316\) | 4.86987 | − | 16.5852i | 0.273951 | − | 0.932993i | ||||
\(317\) | −12.4747 | + | 14.3966i | −0.700648 | + | 0.808591i | −0.988840 | − | 0.148982i | \(-0.952400\pi\) |
0.288192 | + | 0.957573i | \(0.406946\pi\) | |||||||
\(318\) | −5.16485 | + | 1.51654i | −0.289630 | + | 0.0850431i | ||||
\(319\) | 43.0563 | + | 19.6631i | 2.41069 | + | 1.10092i | ||||
\(320\) | −0.283727 | − | 1.97336i | −0.0158608 | − | 0.110314i | ||||
\(321\) | −2.99806 | −0.167335 | ||||||||
\(322\) | 5.25358 | + | 11.5499i | 0.292771 | + | 0.643650i | ||||
\(323\) | −5.10769 | −0.284200 | ||||||||
\(324\) | −0.142315 | − | 0.989821i | −0.00790638 | − | 0.0549901i | ||||
\(325\) | 4.08525 | + | 1.86567i | 0.226609 | + | 0.103489i | ||||
\(326\) | −10.2935 | + | 3.02244i | −0.570103 | + | 0.167397i | ||||
\(327\) | −1.12035 | + | 1.29295i | −0.0619555 | + | 0.0715005i | ||||
\(328\) | 3.25209 | − | 11.0756i | 0.179567 | − | 0.611548i | ||||
\(329\) | 14.3019 | + | 18.7850i | 0.788490 | + | 1.03565i | ||||
\(330\) | 4.68119 | + | 10.2504i | 0.257691 | + | 0.564264i | ||||
\(331\) | −10.9301 | − | 12.6140i | −0.600774 | − | 0.693330i | 0.371164 | − | 0.928567i | \(-0.378959\pi\) |
−0.971938 | + | 0.235237i | \(0.924413\pi\) | |||||||
\(332\) | −3.83386 | − | 2.46387i | −0.210410 | − | 0.135223i | ||||
\(333\) | 2.36738 | + | 0.340378i | 0.129732 | + | 0.0186526i | ||||
\(334\) | −11.6070 | − | 1.66884i | −0.635108 | − | 0.0913147i | ||||
\(335\) | 6.92463 | − | 10.7749i | 0.378333 | − | 0.588698i | ||||
\(336\) | −1.85556 | + | 1.88597i | −0.101229 | + | 0.102888i | ||||
\(337\) | 12.3146 | − | 5.62390i | 0.670820 | − | 0.306353i | −0.0507331 | − | 0.998712i | \(-0.516156\pi\) |
0.721553 | + | 0.692359i | \(0.243428\pi\) | |||||||
\(338\) | −5.20359 | + | 3.34414i | −0.283038 | + | 0.181897i | ||||
\(339\) | 1.48864 | + | 0.437104i | 0.0808518 | + | 0.0237402i | ||||
\(340\) | 8.86892 | − | 10.2353i | 0.480984 | − | 0.555086i | ||||
\(341\) | 40.1747 | − | 11.7964i | 2.17558 | − | 0.638809i | ||||
\(342\) | −0.312346 | + | 0.683942i | −0.0168897 | + | 0.0369833i | ||||
\(343\) | −6.89326 | − | 17.1896i | −0.372201 | − | 0.928152i | ||||
\(344\) | − | 8.91664i | − | 0.480753i | ||||||
\(345\) | −9.54301 | + | 0.590150i | −0.513778 | + | 0.0317726i | ||||
\(346\) | 7.63936i | 0.410695i | ||||||||
\(347\) | −1.82270 | − | 12.6771i | −0.0978475 | − | 0.680544i | −0.978419 | − | 0.206631i | \(-0.933750\pi\) |
0.880571 | − | 0.473913i | \(-0.157159\pi\) | |||||||
\(348\) | −7.61750 | − | 3.47880i | −0.408341 | − | 0.186483i | ||||
\(349\) | −6.32581 | − | 21.5437i | −0.338613 | − | 1.15321i | −0.936218 | − | 0.351420i | \(-0.885699\pi\) |
0.597605 | − | 0.801791i | \(-0.296119\pi\) | |||||||
\(350\) | 1.60801 | − | 2.18484i | 0.0859517 | − | 0.116784i | ||||
\(351\) | −4.20270 | − | 1.23402i | −0.224324 | − | 0.0658674i | ||||
\(352\) | 3.05585 | + | 4.75500i | 0.162878 | + | 0.253442i | ||||
\(353\) | 1.98431 | − | 0.906206i | 0.105614 | − | 0.0482325i | −0.361907 | − | 0.932214i | \(-0.617874\pi\) |
0.467522 | + | 0.883982i | \(0.345147\pi\) | |||||||
\(354\) | −6.11677 | − | 7.05913i | −0.325103 | − | 0.375189i | ||||
\(355\) | 4.54441 | + | 2.92052i | 0.241192 | + | 0.155005i | ||||
\(356\) | −0.931754 | + | 6.48049i | −0.0493828 | + | 0.343465i | ||||
\(357\) | −17.9370 | − | 1.13645i | −0.949328 | − | 0.0601472i | ||||
\(358\) | 16.3029 | + | 10.4773i | 0.861637 | + | 0.553741i | ||||
\(359\) | −23.7178 | + | 20.5516i | −1.25178 | + | 1.08467i | −0.258856 | + | 0.965916i | \(0.583345\pi\) |
−0.992923 | + | 0.118757i | \(0.962109\pi\) | |||||||
\(360\) | −0.828195 | − | 1.81349i | −0.0436497 | − | 0.0955795i | ||||
\(361\) | −15.5082 | + | 9.96653i | −0.816222 | + | 0.524554i | ||||
\(362\) | −4.13758 | − | 1.21490i | −0.217466 | − | 0.0638539i | ||||
\(363\) | −15.8317 | − | 13.7182i | −0.830946 | − | 0.720019i | ||||
\(364\) | 4.13795 | + | 10.8248i | 0.216888 | + | 0.567373i | ||||
\(365\) | 6.17835 | + | 2.82156i | 0.323390 | + | 0.147687i | ||||
\(366\) | 6.82152 | − | 0.980786i | 0.356567 | − | 0.0512665i | ||||
\(367\) | −0.544838 | −0.0284403 | −0.0142201 | − | 0.999899i | \(-0.504527\pi\) | ||||
−0.0142201 | + | 0.999899i | \(0.504527\pi\) | |||||||
\(368\) | −4.69584 | + | 0.974218i | −0.244788 | + | 0.0507846i | ||||
\(369\) | − | 11.5432i | − | 0.600914i | ||||||
\(370\) | 4.71974 | − | 0.678596i | 0.245367 | − | 0.0352785i | ||||
\(371\) | 13.3839 | + | 4.86839i | 0.694855 | + | 0.252754i | ||||
\(372\) | −7.10770 | + | 2.08701i | −0.368517 | + | 0.108206i | ||||
\(373\) | 3.78615 | + | 3.28072i | 0.196039 | + | 0.169869i | 0.747349 | − | 0.664432i | \(-0.231326\pi\) |
−0.551310 | + | 0.834301i | \(0.685872\pi\) | |||||||
\(374\) | −10.8176 | + | 36.8415i | −0.559366 | + | 1.90503i | ||||
\(375\) | 6.49442 | + | 10.1055i | 0.335370 | + | 0.521846i | ||||
\(376\) | −8.11723 | + | 3.70701i | −0.418614 | + | 0.191175i | ||||
\(377\) | −27.7212 | + | 24.0205i | −1.42771 | + | 1.23712i | ||||
\(378\) | −1.24906 | + | 2.33235i | −0.0642448 | + | 0.119963i | ||||
\(379\) | 7.31040 | + | 1.05108i | 0.375510 | + | 0.0539902i | 0.327486 | − | 0.944856i | \(-0.393799\pi\) |
0.0480238 | + | 0.998846i | \(0.484708\pi\) | |||||||
\(380\) | −0.213331 | + | 1.48375i | −0.0109436 | + | 0.0761147i | ||||
\(381\) | −5.74798 | + | 8.94403i | −0.294478 | + | 0.458217i | ||||
\(382\) | −16.5687 | + | 14.3568i | −0.847728 | + | 0.734560i | ||||
\(383\) | −12.7245 | − | 27.8628i | −0.650193 | − | 1.42372i | −0.891385 | − | 0.453247i | \(-0.850266\pi\) |
0.241192 | − | 0.970477i | \(-0.422462\pi\) | |||||||
\(384\) | −0.540641 | − | 0.841254i | −0.0275895 | − | 0.0429300i | ||||
\(385\) | 6.10050 | − | 29.1834i | 0.310910 | − | 1.48732i | ||||
\(386\) | −7.87126 | + | 9.08392i | −0.400637 | + | 0.462360i | ||||
\(387\) | −2.51211 | − | 8.55545i | −0.127698 | − | 0.434898i | ||||
\(388\) | −1.49701 | + | 3.27799i | −0.0759990 | + | 0.166415i | ||||
\(389\) | 15.7904 | − | 2.27032i | 0.800606 | − | 0.115110i | 0.270146 | − | 0.962819i | \(-0.412928\pi\) |
0.530461 | + | 0.847710i | \(0.322019\pi\) | |||||||
\(390\) | −8.73247 | −0.442186 | ||||||||
\(391\) | −25.8913 | − | 19.7742i | −1.30938 | − | 1.00002i | ||||
\(392\) | 6.91164 | − | 1.10868i | 0.349091 | − | 0.0559970i | ||||
\(393\) | 0.641791 | + | 4.46375i | 0.0323741 | + | 0.225167i | ||||
\(394\) | 5.60959 | − | 12.2833i | 0.282607 | − | 0.618824i | ||||
\(395\) | −9.70884 | − | 33.0653i | −0.488505 | − | 1.66369i | ||||
\(396\) | 4.27171 | + | 3.70146i | 0.214661 | + | 0.186005i | ||||
\(397\) | −0.569560 | + | 1.93974i | −0.0285854 | + | 0.0973529i | −0.972550 | − | 0.232693i | \(-0.925246\pi\) |
0.943965 | + | 0.330046i | \(0.107064\pi\) | |||||||
\(398\) | 6.74353 | − | 4.33381i | 0.338023 | − | 0.217234i | ||||
\(399\) | 1.73817 | − | 0.967532i | 0.0870174 | − | 0.0484372i | ||||
\(400\) | 0.671453 | + | 0.774898i | 0.0335726 | + | 0.0387449i | ||||
\(401\) | −7.74744 | + | 12.0553i | −0.386889 | + | 0.602011i | −0.979004 | − | 0.203843i | \(-0.934657\pi\) |
0.592115 | + | 0.805854i | \(0.298293\pi\) | |||||||
\(402\) | 0.914298 | − | 6.35909i | 0.0456011 | − | 0.317162i | ||||
\(403\) | −4.61768 | + | 32.1167i | −0.230023 | + | 1.59985i | ||||
\(404\) | −1.75142 | + | 2.72527i | −0.0871366 | + | 0.135587i | ||||
\(405\) | −1.30557 | − | 1.50670i | −0.0648741 | − | 0.0748688i | ||||
\(406\) | 10.7760 | + | 19.3591i | 0.534805 | + | 0.960777i | ||||
\(407\) | −11.3726 | + | 7.30875i | −0.563721 | + | 0.362281i | ||||
\(408\) | 1.91385 | − | 6.51798i | 0.0947498 | − | 0.322688i | ||||
\(409\) | −5.02564 | − | 4.35474i | −0.248502 | − | 0.215328i | 0.521699 | − | 0.853130i | \(-0.325299\pi\) |
−0.770201 | + | 0.637802i | \(0.779844\pi\) | |||||||
\(410\) | −6.48355 | − | 22.0809i | −0.320200 | − | 1.09050i | ||||
\(411\) | −2.75670 | + | 6.03634i | −0.135978 | + | 0.297751i | ||||
\(412\) | 0.524155 | + | 3.64558i | 0.0258233 | + | 0.179605i | ||||
\(413\) | 1.96325 | + | 24.6347i | 0.0966054 | + | 1.21220i | ||||
\(414\) | −4.23116 | + | 2.25773i | −0.207950 | + | 0.110961i | ||||
\(415\) | −9.08572 | −0.446001 | ||||||||
\(416\) | −4.33554 | + | 0.623357i | −0.212568 | + | 0.0305626i | ||||
\(417\) | 0.133535 | − | 0.292400i | 0.00653922 | − | 0.0143189i | ||||
\(418\) | −1.19733 | − | 4.07773i | −0.0585634 | − | 0.199449i | ||||
\(419\) | −17.7800 | + | 20.5193i | −0.868612 | + | 1.00243i | 0.131326 | + | 0.991339i | \(0.458076\pi\) |
−0.999938 | + | 0.0110928i | \(0.996469\pi\) | |||||||
\(420\) | −1.07930 | + | 5.16312i | −0.0526644 | + | 0.251934i | ||||
\(421\) | −6.05626 | − | 9.42373i | −0.295164 | − | 0.459284i | 0.661721 | − | 0.749750i | \(-0.269826\pi\) |
−0.956885 | + | 0.290465i | \(0.906190\pi\) | |||||||
\(422\) | −3.02722 | − | 6.62868i | −0.147363 | − | 0.322679i | ||||
\(423\) | −6.74404 | + | 5.84374i | −0.327906 | + | 0.284132i | ||||
\(424\) | −2.91021 | + | 4.52838i | −0.141332 | + | 0.219917i | ||||
\(425\) | −0.991261 | + | 6.89437i | −0.0480832 | + | 0.334426i | ||||
\(426\) | 2.68199 | + | 0.385612i | 0.129943 | + | 0.0186830i | ||||
\(427\) | −16.0738 | − | 8.60811i | −0.777864 | − | 0.416576i | ||||
\(428\) | −2.26578 | + | 1.96331i | −0.109521 | + | 0.0949002i | ||||
\(429\) | 22.5204 | − | 10.2847i | 1.08730 | − | 0.496551i | ||||
\(430\) | −9.61081 | − | 14.9547i | −0.463475 | − | 0.721180i | ||||
\(431\) | 10.5237 | − | 35.8406i | 0.506911 | − | 1.72638i | −0.165508 | − | 0.986209i | \(-0.552926\pi\) |
0.672418 | − | 0.740171i | \(-0.265256\pi\) | |||||||
\(432\) | −0.755750 | − | 0.654861i | −0.0363610 | − | 0.0315070i | ||||
\(433\) | −0.717927 | + | 0.210803i | −0.0345014 | + | 0.0101305i | −0.298938 | − | 0.954273i | \(-0.596632\pi\) |
0.264436 | + | 0.964403i | \(0.414814\pi\) | |||||||
\(434\) | 18.4184 | + | 6.69973i | 0.884113 | + | 0.321597i | ||||
\(435\) | −16.5255 | + | 2.37600i | −0.792336 | + | 0.113921i | ||||
\(436\) | 1.71082i | 0.0819335i | ||||||||
\(437\) | 3.59410 | + | 0.291895i | 0.171929 | + | 0.0139632i | ||||
\(438\) | 3.40688 | 0.162787 | ||||||||
\(439\) | 13.0120 | − | 1.87085i | 0.621031 | − | 0.0892908i | 0.175385 | − | 0.984500i | \(-0.443883\pi\) |
0.445646 | + | 0.895209i | \(0.352974\pi\) | |||||||
\(440\) | 10.2504 | + | 4.68119i | 0.488667 | + | 0.223167i | ||||
\(441\) | 6.31932 | − | 3.01101i | 0.300920 | − | 0.143381i | ||||
\(442\) | −22.4872 | − | 19.4853i | −1.06961 | − | 0.926821i | ||||
\(443\) | 30.9200 | + | 9.07893i | 1.46905 | + | 0.431353i | 0.915791 | − | 0.401654i | \(-0.131565\pi\) |
0.553262 | + | 0.833007i | \(0.313383\pi\) | |||||||
\(444\) | 2.01205 | − | 1.29306i | 0.0954874 | − | 0.0613660i | ||||
\(445\) | 5.42230 | + | 11.8732i | 0.257042 | + | 0.562842i | ||||
\(446\) | 10.1968 | − | 8.83559i | 0.482833 | − | 0.418377i | ||||
\(447\) | 14.7770 | + | 9.49663i | 0.698930 | + | 0.449175i | ||||
\(448\) | −0.167293 | + | 2.64046i | −0.00790386 | + | 0.124750i | ||||
\(449\) | −1.06903 | + | 7.43528i | −0.0504507 | + | 0.350892i | 0.948923 | + | 0.315508i | \(0.102175\pi\) |
−0.999374 | + | 0.0353848i | \(0.988734\pi\) | |||||||
\(450\) | 0.862568 | + | 0.554339i | 0.0406618 | + | 0.0261318i | ||||
\(451\) | 42.7266 | + | 49.3091i | 2.01192 | + | 2.32188i | ||||
\(452\) | 1.41128 | − | 0.644510i | 0.0663810 | − | 0.0303152i | ||||
\(453\) | −5.45751 | − | 8.49205i | −0.256416 | − | 0.398991i | ||||
\(454\) | −10.1544 | − | 2.98161i | −0.476571 | − | 0.139934i | ||||
\(455\) | 18.6076 | + | 13.6949i | 0.872336 | + | 0.642027i | ||||
\(456\) | 0.211831 | + | 0.721432i | 0.00991992 | + | 0.0337841i | ||||
\(457\) | 3.87620 | + | 1.77020i | 0.181321 | + | 0.0828066i | 0.504007 | − | 0.863699i | \(-0.331859\pi\) |
−0.322686 | + | 0.946506i | \(0.604586\pi\) | |||||||
\(458\) | 1.61588 | + | 11.2387i | 0.0755052 | + | 0.525150i | ||||
\(459\) | − | 6.79315i | − | 0.317077i | ||||||
\(460\) | −6.82566 | + | 6.69535i | −0.318248 | + | 0.312172i | ||||
\(461\) | − | 35.2401i | − | 1.64129i | −0.571436 | − | 0.820646i | \(-0.693614\pi\) | ||
0.571436 | − | 0.820646i | \(-0.306386\pi\) | |||||||
\(462\) | −3.29746 | − | 14.5865i | −0.153412 | − | 0.678623i | ||||
\(463\) | −15.6832 | + | 34.3413i | −0.728859 | + | 1.59598i | 0.0721989 | + | 0.997390i | \(0.476998\pi\) |
−0.801058 | + | 0.598587i | \(0.795729\pi\) | |||||||
\(464\) | −8.03505 | + | 2.35930i | −0.373018 | + | 0.109528i | ||||
\(465\) | −9.67133 | + | 11.1613i | −0.448497 | + | 0.517594i | ||||
\(466\) | −13.1855 | − | 3.87161i | −0.610807 | − | 0.179349i | ||||
\(467\) | 16.0445 | − | 10.3112i | 0.742450 | − | 0.477144i | −0.113931 | − | 0.993489i | \(-0.536344\pi\) |
0.856381 | + | 0.516345i | \(0.172708\pi\) | |||||||
\(468\) | −3.98430 | + | 1.81957i | −0.184175 | + | 0.0841097i | ||||
\(469\) | −11.9210 | + | 12.1164i | −0.550462 | + | 0.559482i | ||||
\(470\) | −9.61836 | + | 14.9665i | −0.443662 | + | 0.690351i | ||||
\(471\) | −9.48233 | − | 1.36335i | −0.436923 | − | 0.0628200i | ||||
\(472\) | −9.24549 | − | 1.32930i | −0.425558 | − | 0.0611861i | ||||
\(473\) | 42.3986 | + | 27.2479i | 1.94949 | + | 1.25286i | ||||
\(474\) | −11.3195 | − | 13.0635i | −0.519924 | − | 0.600024i | ||||
\(475\) | −0.320259 | − | 0.701270i | −0.0146945 | − | 0.0321765i | ||||
\(476\) | −14.3001 | + | 10.8874i | −0.655445 | + | 0.499022i | ||||
\(477\) | −1.51654 | + | 5.16485i | −0.0694374 | + | 0.236482i | ||||
\(478\) | −0.227837 | + | 0.262937i | −0.0104210 | + | 0.0120265i | ||||
\(479\) | 20.4435 | − | 6.00277i | 0.934089 | − | 0.274273i | 0.220942 | − | 0.975287i | \(-0.429087\pi\) |
0.713148 | + | 0.701014i | \(0.247269\pi\) | |||||||
\(480\) | −1.81349 | − | 0.828195i | −0.0827743 | − | 0.0378017i | ||||
\(481\) | −1.49090 | − | 10.3694i | −0.0679791 | − | 0.472805i | ||||
\(482\) | 15.0718 | 0.686502 | ||||||||
\(483\) | 12.5567 | + | 1.82474i | 0.571349 | + | 0.0830287i | ||||
\(484\) | −20.9483 | −0.952194 | ||||||||
\(485\) | 1.02245 | + | 7.11129i | 0.0464270 | + | 0.322907i | ||||
\(486\) | −0.909632 | − | 0.415415i | −0.0412617 | − | 0.0188436i | ||||
\(487\) | −38.4126 | + | 11.2790i | −1.74064 | + | 0.511098i | −0.988929 | − | 0.148392i | \(-0.952590\pi\) |
−0.751713 | + | 0.659491i | \(0.770772\pi\) | |||||||
\(488\) | 4.51308 | − | 5.20837i | 0.204298 | − | 0.235772i | ||||
\(489\) | −3.02244 | + | 10.2935i | −0.136679 | + | 0.465487i | ||||
\(490\) | 10.3970 | − | 9.30918i | 0.469689 | − | 0.420546i | ||||
\(491\) | 16.7438 | + | 36.6637i | 0.755635 | + | 1.65461i | 0.755967 | + | 0.654610i | \(0.227167\pi\) |
−0.000331542 | 1.00000i | \(0.500106\pi\) | ||||||||
\(492\) | −7.55918 | − | 8.72376i | −0.340794 | − | 0.393297i | ||||
\(493\) | −47.8570 | − | 30.7558i | −2.15537 | − | 1.38517i | ||||
\(494\) | 3.25985 | + | 0.468695i | 0.146667 | + | 0.0210876i | ||||
\(495\) | 11.1540 | + | 1.60370i | 0.501335 | + | 0.0720811i | ||||
\(496\) | −4.00494 | + | 6.23181i | −0.179827 | + | 0.279817i | ||||
\(497\) | −5.11017 | − | 5.02778i | −0.229223 | − | 0.225527i | ||||
\(498\) | −4.14548 | + | 1.89318i | −0.185764 | + | 0.0848354i | ||||
\(499\) | −1.16810 | + | 0.750690i | −0.0522912 | + | 0.0336055i | −0.566525 | − | 0.824044i | \(-0.691713\pi\) |
0.514234 | + | 0.857650i | \(0.328076\pi\) | |||||||
\(500\) | 11.5259 | + | 3.38430i | 0.515452 | + | 0.151350i | ||||
\(501\) | −7.67914 | + | 8.86220i | −0.343079 | + | 0.395934i | ||||
\(502\) | −21.8592 | + | 6.41843i | −0.975623 | + | 0.286469i | ||||
\(503\) | 7.44550 | − | 16.3034i | 0.331978 | − | 0.726931i | −0.667871 | − | 0.744277i | \(-0.732794\pi\) |
0.999850 | + | 0.0173458i | \(0.00552163\pi\) | |||||||
\(504\) | 0.583386 | + | 2.58063i | 0.0259861 | + | 0.114950i | ||||
\(505\) | 6.45851i | 0.287400i | ||||||||
\(506\) | 9.71739 | − | 25.3058i | 0.431991 | − | 1.12498i | ||||
\(507\) | 6.18552i | 0.274709i | ||||||||
\(508\) | 1.51306 | + | 10.5236i | 0.0671312 | + | 0.466908i | ||||
\(509\) | 25.8685 | + | 11.8137i | 1.14660 | + | 0.523635i | 0.895824 | − | 0.444410i | \(-0.146587\pi\) |
0.250777 | + | 0.968045i | \(0.419314\pi\) | |||||||
\(510\) | −3.81556 | − | 12.9946i | −0.168956 | − | 0.575411i | ||||
\(511\) | −7.25954 | − | 5.34292i | −0.321143 | − | 0.236357i | ||||
\(512\) | −0.959493 | − | 0.281733i | −0.0424040 | − | 0.0124509i | ||||
\(513\) | 0.406502 | + | 0.632529i | 0.0179475 | + | 0.0279268i | ||||
\(514\) | 26.5192 | − | 12.1109i | 1.16971 | − | 0.534190i | ||||
\(515\) | 4.80849 | + | 5.54930i | 0.211887 | + | 0.244531i | ||||
\(516\) | −7.50115 | − | 4.82070i | −0.330220 | − | 0.212219i | ||||
\(517\) | 7.17821 | − | 49.9255i | 0.315697 | − | 2.19572i | ||||
\(518\) | −6.31524 | − | 0.400119i | −0.277476 | − | 0.0175802i | ||||
\(519\) | 6.42664 | + | 4.13015i | 0.282098 | + | 0.181294i | ||||
\(520\) | −6.59956 | + | 5.71855i | −0.289410 | + | 0.250775i | ||||
\(521\) | −8.94027 | − | 19.5765i | −0.391680 | − | 0.857661i | −0.998047 | − | 0.0624749i | \(-0.980101\pi\) |
0.606366 | − | 0.795186i | \(-0.292627\pi\) | |||||||
\(522\) | −7.04488 | + | 4.52747i | −0.308346 | + | 0.198162i | ||||
\(523\) | 20.3267 | + | 5.96846i | 0.888825 | + | 0.260982i | 0.694103 | − | 0.719876i | \(-0.255801\pi\) |
0.194722 | + | 0.980858i | \(0.437620\pi\) | |||||||
\(524\) | 3.40817 | + | 2.95320i | 0.148887 | + | 0.129011i | ||||
\(525\) | −0.968646 | − | 2.53396i | −0.0422752 | − | 0.110591i | ||||
\(526\) | −22.9151 | − | 10.4650i | −0.999148 | − | 0.456296i | ||||
\(527\) | −49.8099 | + | 7.16158i | −2.16975 | + | 0.311963i | ||||
\(528\) | 5.65228 | 0.245984 | ||||||||
\(529\) | 17.0887 | + | 15.3940i | 0.742988 | + | 0.669305i | ||||
\(530\) | 10.7316i | 0.466152i | ||||||||
\(531\) | −9.24549 | + | 1.32930i | −0.401220 | + | 0.0576868i | ||||
\(532\) | 0.680023 | − | 1.86947i | 0.0294827 | − | 0.0810519i | ||||
\(533\) | −48.5126 | + | 14.2446i | −2.10131 | + | 0.617001i | ||||
\(534\) | 4.94799 | + | 4.28746i | 0.214120 | + | 0.185536i | ||||
\(535\) | −1.68394 | + | 5.73498i | −0.0728032 | + | 0.247945i | ||||
\(536\) | −3.47333 | − | 5.40461i | −0.150025 | − | 0.233444i | ||||
\(537\) | 17.6281 | − | 8.05047i | 0.760708 | − | 0.347404i | ||||
\(538\) | 20.6269 | − | 17.8733i | 0.889289 | − | 0.770573i | ||||
\(539\) | −15.8492 | + | 36.2528i | −0.682673 | + | 1.56152i | ||||
\(540\) | −1.97336 | − | 0.283727i | −0.0849200 | − | 0.0122097i | ||||
\(541\) | −2.61040 | + | 18.1557i | −0.112230 | + | 0.780574i | 0.853513 | + | 0.521072i | \(0.174468\pi\) |
−0.965742 | + | 0.259502i | \(0.916441\pi\) | |||||||
\(542\) | 15.8373 | − | 24.6433i | 0.680269 | − | 1.05852i | ||||
\(543\) | −3.25899 | + | 2.82393i | −0.139856 | + | 0.121186i | ||||
\(544\) | −2.82198 | − | 6.17927i | −0.120991 | − | 0.264934i | ||||
\(545\) | 1.84401 | + | 2.86934i | 0.0789888 | + | 0.122909i | ||||
\(546\) | 11.3435 | + | 2.37126i | 0.485458 | + | 0.101480i | ||||
\(547\) | 8.71991 | − | 10.0633i | 0.372837 | − | 0.430276i | −0.538063 | − | 0.842905i | \(-0.680844\pi\) |
0.910899 | + | 0.412628i | \(0.135389\pi\) | |||||||
\(548\) | 1.86958 | + | 6.36722i | 0.0798647 | + | 0.271994i | ||||
\(549\) | 2.86290 | − | 6.26888i | 0.122186 | − | 0.267549i | ||||
\(550\) | −5.73650 | + | 0.824784i | −0.244605 | + | 0.0351689i | ||||
\(551\) | 6.29652 | 0.268241 | ||||||||
\(552\) | −1.71920 | + | 4.47709i | −0.0731739 | + | 0.190558i | ||||
\(553\) | 3.63315 | + | 45.5884i | 0.154497 | + | 1.93862i | ||||
\(554\) | 3.77401 | + | 26.2488i | 0.160342 | + | 1.11520i | ||||
\(555\) | 1.98081 | − | 4.33737i | 0.0840808 | − | 0.184111i | ||||
\(556\) | −0.0905626 | − | 0.308428i | −0.00384071 | − | 0.0130803i | ||||
\(557\) | −25.7160 | − | 22.2830i | −1.08962 | − | 0.944163i | −0.0909591 | − | 0.995855i | \(-0.528993\pi\) |
−0.998663 | + | 0.0516916i | \(0.983539\pi\) | |||||||
\(558\) | −2.08701 | + | 7.10770i | −0.0883501 | + | 0.300893i | ||||
\(559\) | −32.8560 | + | 21.1153i | −1.38966 | + | 0.893081i | ||||
\(560\) | 2.56544 | + | 4.60881i | 0.108410 | + | 0.194758i | ||||
\(561\) | 25.1446 | + | 29.0184i | 1.06160 | + | 1.22516i | ||||
\(562\) | 11.7602 | − | 18.2992i | 0.496074 | − | 0.771906i | ||||
\(563\) | 1.19638 | − | 8.32100i | 0.0504214 | − | 0.350688i | −0.948956 | − | 0.315408i | \(-0.897859\pi\) |
0.999377 | − | 0.0352801i | \(-0.0112323\pi\) | |||||||
\(564\) | −1.26997 | + | 8.83281i | −0.0534752 | + | 0.371928i | ||||
\(565\) | 1.67227 | − | 2.60210i | 0.0703530 | − | 0.109471i | ||||
\(566\) | 1.30782 | + | 1.50931i | 0.0549720 | + | 0.0634410i | ||||
\(567\) | 1.28680 | + | 2.31174i | 0.0540406 | + | 0.0970839i | ||||
\(568\) | 2.27944 | − | 1.46491i | 0.0956430 | − | 0.0614661i | ||||
\(569\) | 1.85007 | − | 6.30076i | 0.0775590 | − | 0.264142i | −0.911580 | − | 0.411122i | \(-0.865137\pi\) |
0.989139 | + | 0.146980i | \(0.0469553\pi\) | |||||||
\(570\) | 1.13287 | + | 0.981641i | 0.0474509 | + | 0.0411164i | ||||
\(571\) | −4.40069 | − | 14.9874i | −0.184163 | − | 0.627202i | −0.998879 | − | 0.0473414i | \(-0.984925\pi\) |
0.814716 | − | 0.579861i | \(-0.196893\pi\) | |||||||
\(572\) | 10.2847 | − | 22.5204i | 0.430026 | − | 0.941625i | ||||
\(573\) | 3.12004 | + | 21.7004i | 0.130342 | + | 0.906546i | ||||
\(574\) | 2.42621 | + | 30.4439i | 0.101268 | + | 1.27070i | ||||
\(575\) | 1.09151 | − | 4.79467i | 0.0455193 | − | 0.199951i | ||||
\(576\) | −1.00000 | −0.0416667 | ||||||||
\(577\) | −40.7399 | + | 5.85751i | −1.69602 | + | 0.243851i | −0.921413 | − | 0.388586i | \(-0.872964\pi\) |
−0.774612 | + | 0.632437i | \(0.782055\pi\) | |||||||
\(578\) | 12.1081 | − | 26.5130i | 0.503629 | − | 1.10279i | ||||
\(579\) | 3.38636 | + | 11.5329i | 0.140732 | + | 0.479290i | ||||
\(580\) | −10.9332 | + | 12.6175i | −0.453975 | + | 0.523915i | ||||
\(581\) | 11.8024 | + | 2.46718i | 0.489647 | + | 0.102356i | ||||
\(582\) | 1.94828 | + | 3.03158i | 0.0807586 | + | 0.125663i | ||||
\(583\) | −12.6393 | − | 27.6761i | −0.523465 | − | 1.14623i | ||||
\(584\) | 2.57475 | − | 2.23103i | 0.106544 | − | 0.0923208i | ||||
\(585\) | −4.72113 | + | 7.34622i | −0.195195 | + | 0.303729i | ||||
\(586\) | 2.77571 | − | 19.3055i | 0.114664 | − | 0.797503i | ||||
\(587\) | 6.19017 | + | 0.890012i | 0.255496 | + | 0.0367347i | 0.268872 | − | 0.963176i | \(-0.413349\pi\) |
−0.0133768 | + | 0.999911i | \(0.504258\pi\) | |||||||
\(588\) | 2.80403 | − | 6.41384i | 0.115636 | − | 0.264502i | ||||
\(589\) | 4.20938 | − | 3.64745i | 0.173445 | − | 0.150291i | ||||
\(590\) | −16.9391 | + | 7.73581i | −0.697370 | + | 0.318478i | ||||
\(591\) | −7.30059 | − | 11.3599i | −0.300306 | − | 0.467286i | ||||
\(592\) | 0.673826 | − | 2.29484i | 0.0276941 | − | 0.0943174i | ||||
\(593\) | 4.37623 | + | 3.79203i | 0.179710 | + | 0.155720i | 0.740071 | − | 0.672529i | \(-0.234792\pi\) |
−0.560361 | + | 0.828249i | \(0.689337\pi\) | |||||||
\(594\) | 5.42332 | − | 1.59243i | 0.222522 | − | 0.0653383i | ||||
\(595\) | −12.2487 | + | 33.6734i | −0.502149 | + | 1.38047i | ||||
\(596\) | 17.3867 | − | 2.49983i | 0.712187 | − | 0.102397i | ||||
\(597\) | − | 8.01605i | − | 0.328075i | ||||||
\(598\) | 14.7099 | + | 14.9962i | 0.601532 | + | 0.613240i | ||||
\(599\) | −20.4023 | −0.833616 | −0.416808 | − | 0.908994i | \(-0.636851\pi\) | ||||
−0.416808 | + | 0.908994i | \(0.636851\pi\) | |||||||
\(600\) | 1.01490 | − | 0.145921i | 0.0414331 | − | 0.00595718i | ||||
\(601\) | 13.7990 | + | 6.30177i | 0.562871 | + | 0.257055i | 0.676468 | − | 0.736472i | \(-0.263510\pi\) |
−0.113597 | + | 0.993527i | \(0.536237\pi\) | |||||||
\(602\) | 8.42364 | + | 22.0360i | 0.343322 | + | 0.898122i | ||||
\(603\) | −4.85530 | − | 4.20714i | −0.197723 | − | 0.171328i | ||||
\(604\) | −9.68562 | − | 2.84395i | −0.394102 | − | 0.115719i | ||||
\(605\) | −35.1338 | + | 22.5791i | −1.42839 | + | 0.917972i | ||||
\(606\) | 1.34575 | + | 2.94678i | 0.0546674 | + | 0.119705i | ||||
\(607\) | 14.9240 | − | 12.9317i | 0.605747 | − | 0.524883i | −0.297099 | − | 0.954847i | \(-0.596019\pi\) |
0.902846 | + | 0.429964i | \(0.141474\pi\) | |||||||
\(608\) | 0.632529 | + | 0.406502i | 0.0256524 | + | 0.0164858i | ||||
\(609\) | 22.1119 | + | 1.40096i | 0.896019 | + | 0.0567697i | ||||
\(610\) | 1.95535 | − | 13.5998i | 0.0791698 | − | 0.550638i | ||||
\(611\) | 32.8818 | + | 21.1319i | 1.33026 | + | 0.854903i | ||||
\(612\) | −4.44857 | − | 5.13392i | −0.179823 | − | 0.207527i | ||||
\(613\) | −11.8467 | + | 5.41020i | −0.478483 | + | 0.218516i | −0.640031 | − | 0.768349i | \(-0.721079\pi\) |
0.161548 | + | 0.986865i | \(0.448351\pi\) | |||||||
\(614\) | −8.06565 | − | 12.5504i | −0.325503 | − | 0.506493i | ||||
\(615\) | −22.0809 | − | 6.48355i | −0.890390 | − | 0.261442i | ||||
\(616\) | −12.0442 | − | 8.86433i | −0.485273 | − | 0.357154i | ||||
\(617\) | −9.42261 | − | 32.0904i | −0.379340 | − | 1.29191i | −0.899154 | − | 0.437633i | \(-0.855817\pi\) |
0.519814 | − | 0.854280i | \(-0.326001\pi\) | |||||||
\(618\) | 3.35024 | + | 1.53000i | 0.134766 | + | 0.0615457i | ||||
\(619\) | 3.85551 | + | 26.8157i | 0.154966 | + | 1.07781i | 0.907740 | + | 0.419533i | \(0.137806\pi\) |
−0.752774 | + | 0.658279i | \(0.771285\pi\) | |||||||
\(620\) | 14.7685i | 0.593119i | ||||||||
\(621\) | −0.388216 | + | 4.78009i | −0.0155786 | + | 0.191819i | ||||
\(622\) | 2.63959i | 0.105838i | ||||||||
\(623\) | −3.81950 | − | 16.8957i | −0.153025 | − | 0.676913i | ||||
\(624\) | −1.81957 | + | 3.98430i | −0.0728411 | + | 0.159500i | ||||
\(625\) | 18.0596 | − | 5.30277i | 0.722383 | − | 0.212111i | ||||
\(626\) | 3.10213 | − | 3.58005i | 0.123986 | − | 0.143088i | ||||
\(627\) | −4.07773 | − | 1.19733i | −0.162849 | − | 0.0478168i | ||||
\(628\) | −8.05908 | + | 5.17925i | −0.321592 | + | 0.206675i | ||||
\(629\) | 14.7791 | − | 6.74939i | 0.589281 | − | 0.269116i | ||||
\(630\) | 3.75998 | + | 3.69935i | 0.149801 | + | 0.147386i | ||||
\(631\) | −7.18378 | + | 11.1782i | −0.285982 | + | 0.444996i | −0.954287 | − | 0.298890i | \(-0.903383\pi\) |
0.668306 | + | 0.743887i | \(0.267020\pi\) | |||||||
\(632\) | −17.1095 | − | 2.45997i | −0.680579 | − | 0.0978525i | ||||
\(633\) | −7.21304 | − | 1.03708i | −0.286693 | − | 0.0412202i | ||||
\(634\) | 16.0254 | + | 10.2989i | 0.636448 | + | 0.409020i | ||||
\(635\) | 13.8805 | + | 16.0190i | 0.550831 | + | 0.635693i | ||||
\(636\) | 2.23613 | + | 4.89645i | 0.0886685 | + | 0.194157i | ||||
\(637\) | −20.4526 | − | 22.8426i | −0.810360 | − | 0.905055i | ||||
\(638\) | 13.3354 | − | 45.4164i | 0.527955 | − | 1.79805i | ||||
\(639\) | 1.77439 | − | 2.04776i | 0.0701939 | − | 0.0810080i | ||||
\(640\) | −1.91290 | + | 0.561678i | −0.0756140 | + | 0.0222023i | ||||
\(641\) | −19.2953 | − | 8.81189i | −0.762120 | − | 0.348049i | −0.00385305 | − | 0.999993i | \(-0.501226\pi\) |
−0.758267 | + | 0.651944i | \(0.773954\pi\) | |||||||
\(642\) | 0.426668 | + | 2.96754i | 0.0168393 | + | 0.117120i | ||||
\(643\) | −12.4208 | −0.489829 | −0.244915 | − | 0.969545i | \(-0.578760\pi\) | ||||
−0.244915 | + | 0.969545i | \(0.578760\pi\) | |||||||
\(644\) | 10.6847 | − | 6.84383i | 0.421035 | − | 0.269685i | ||||
\(645\) | −17.7767 | −0.699957 | ||||||||
\(646\) | 0.726901 | + | 5.05570i | 0.0285995 | + | 0.198914i | ||||
\(647\) | 14.7287 | + | 6.72639i | 0.579046 | + | 0.264442i | 0.683334 | − | 0.730106i | \(-0.260529\pi\) |
−0.104288 | + | 0.994547i | \(0.533256\pi\) | |||||||
\(648\) | −0.959493 | + | 0.281733i | −0.0376924 | + | 0.0110675i | ||||
\(649\) | 34.5737 | − | 39.9002i | 1.35714 | − | 1.56622i | ||||
\(650\) | 1.26529 | − | 4.30918i | 0.0496288 | − | 0.169020i | ||||
\(651\) | 15.5939 | − | 11.8724i | 0.611174 | − | 0.465317i | ||||
\(652\) | 4.45659 | + | 9.75857i | 0.174533 | + | 0.382175i | ||||
\(653\) | −17.5737 | − | 20.2811i | −0.687711 | − | 0.793660i | 0.299327 | − | 0.954151i | \(-0.403238\pi\) |
−0.987037 | + | 0.160490i | \(0.948692\pi\) | |||||||
\(654\) | 1.43924 | + | 0.924940i | 0.0562785 | + | 0.0361680i | ||||
\(655\) | 8.89919 | + | 1.27951i | 0.347720 | + | 0.0499946i | ||||
\(656\) | −11.4257 | − | 1.64277i | −0.446098 | − | 0.0641393i | ||||
\(657\) | 1.84190 | − | 2.86605i | 0.0718593 | − | 0.111815i | ||||
\(658\) | 16.5584 | − | 16.8297i | 0.645513 | − | 0.656091i | ||||
\(659\) | 31.1005 | − | 14.2031i | 1.21150 | − | 0.553274i | 0.295845 | − | 0.955236i | \(-0.404399\pi\) |
0.915657 | + | 0.401961i | \(0.131671\pi\) | |||||||
\(660\) | 9.47984 | − | 6.09232i | 0.369002 | − | 0.237143i | ||||
\(661\) | −31.4742 | − | 9.24166i | −1.22421 | − | 0.359459i | −0.395145 | − | 0.918619i | \(-0.629306\pi\) |
−0.829060 | + | 0.559160i | \(0.811124\pi\) | |||||||
\(662\) | −10.9301 | + | 12.6140i | −0.424811 | + | 0.490258i | ||||
\(663\) | −28.5496 | + | 8.38292i | −1.10877 | + | 0.325566i | ||||
\(664\) | −1.89318 | + | 4.14548i | −0.0734696 | + | 0.160876i | ||||
\(665\) | −0.874500 | − | 3.86839i | −0.0339116 | − | 0.150010i | ||||
\(666\) | − | 2.39172i | − | 0.0926774i | ||||||
\(667\) | 31.9176 | + | 24.3767i | 1.23585 | + | 0.943868i | ||||
\(668\) | 11.7264i | 0.453707i | ||||||||
\(669\) | −1.92016 | − | 13.3550i | −0.0742376 | − | 0.516334i | ||||
\(670\) | −11.6507 | − | 5.32072i | −0.450108 | − | 0.205557i | ||||
\(671\) | 10.9745 | + | 37.3757i | 0.423666 | + | 1.44287i | ||||
\(672\) | 2.13085 | + | 1.56827i | 0.0821993 | + | 0.0604975i | ||||
\(673\) | 22.9538 | + | 6.73984i | 0.884803 | + | 0.259802i | 0.692400 | − | 0.721514i | \(-0.256554\pi\) |
0.192404 | + | 0.981316i | \(0.438372\pi\) | |||||||
\(674\) | −7.31921 | − | 11.3889i | −0.281925 | − | 0.438685i | ||||
\(675\) | 0.932679 | − | 0.425940i | 0.0358988 | − | 0.0163944i | ||||
\(676\) | 4.05065 | + | 4.67470i | 0.155794 | + | 0.179796i | ||||
\(677\) | 10.8159 | + | 6.95092i | 0.415687 | + | 0.267146i | 0.731724 | − | 0.681601i | \(-0.238716\pi\) |
−0.316037 | + | 0.948747i | \(0.602352\pi\) | |||||||
\(678\) | 0.220799 | − | 1.53569i | 0.00847975 | − | 0.0589779i | ||||
\(679\) | 0.602865 | − | 9.51526i | 0.0231358 | − | 0.365162i | ||||
\(680\) | −11.3933 | − | 7.32201i | −0.436912 | − | 0.280786i | ||||
\(681\) | −7.99818 | + | 6.93047i | −0.306491 | + | 0.265576i | ||||
\(682\) | −17.3937 | − | 38.0870i | −0.666041 | − | 1.45843i | ||||
\(683\) | −8.09085 | + | 5.19968i | −0.309588 | + | 0.198960i | −0.686204 | − | 0.727410i | \(-0.740724\pi\) |
0.376616 | + | 0.926370i | \(0.377088\pi\) | |||||||
\(684\) | 0.721432 | + | 0.211831i | 0.0275846 | + | 0.00809958i | ||||
\(685\) | 9.99853 | + | 8.66378i | 0.382024 | + | 0.331026i | ||||
\(686\) | −16.0336 | + | 9.26943i | −0.612167 | + | 0.353909i | ||||
\(687\) | 10.3282 | + | 4.71674i | 0.394046 | + | 0.179955i | ||||
\(688\) | −8.82588 | + | 1.26897i | −0.336483 | + | 0.0483790i | ||||
\(689\) | 23.5778 | 0.898241 | ||||||||
\(690\) | 1.94225 | + | 9.36189i | 0.0739404 | + | 0.356401i | ||||
\(691\) | − | 6.61531i | − | 0.251658i | −0.992052 | − | 0.125829i | \(-0.959841\pi\) | ||
0.992052 | − | 0.125829i | \(-0.0401591\pi\) | |||||||
\(692\) | 7.56161 | − | 1.08719i | 0.287449 | − | 0.0413290i | ||||
\(693\) | −14.0536 | − | 5.11203i | −0.533854 | − | 0.194190i | ||||
\(694\) | −12.2887 | + | 3.60829i | −0.466473 | + | 0.136969i | ||||
\(695\) | −0.484328 | − | 0.419673i | −0.0183716 | − | 0.0159191i | ||||
\(696\) | −2.35930 | + | 8.03505i | −0.0894292 | + | 0.304568i | ||||
\(697\) | −42.3941 | − | 65.9666i | −1.60579 | − | 2.49866i | ||||
\(698\) | −20.4242 | + | 9.32742i | −0.773068 | + | 0.353048i | ||||
\(699\) | −10.3856 | + | 8.99920i | −0.392821 | + | 0.340381i | ||||
\(700\) | −2.39144 | − | 1.28071i | −0.0903880 | − | 0.0484062i | ||||
\(701\) | −42.7656 | − | 6.14877i | −1.61523 | − | 0.232236i | −0.725337 | − | 0.688394i | \(-0.758316\pi\) |
−0.889898 | + | 0.456159i | \(0.849225\pi\) | |||||||
\(702\) | −0.623357 | + | 4.33554i | −0.0235271 | + | 0.163635i | ||||
\(703\) | −0.972239 | + | 1.51283i | −0.0366687 | + | 0.0570576i | ||||
\(704\) | 4.27171 | − | 3.70146i | 0.160996 | − | 0.139504i | ||||
\(705\) | 7.39051 | + | 16.1830i | 0.278343 | + | 0.609485i | ||||
\(706\) | −1.17938 | − | 1.83515i | −0.0443865 | − | 0.0690668i | ||||
\(707\) | 1.75377 | − | 8.38965i | 0.0659575 | − | 0.315525i | ||||
\(708\) | −6.11677 | + | 7.05913i | −0.229882 | + | 0.265298i | ||||
\(709\) | 2.40707 | + | 8.19774i | 0.0903995 | + | 0.307873i | 0.992264 | − | 0.124147i | \(-0.0396194\pi\) |
−0.901864 | + | 0.432019i | \(0.857801\pi\) | |||||||
\(710\) | 2.24405 | − | 4.91379i | 0.0842178 | − | 0.184411i | ||||
\(711\) | −17.1095 | + | 2.45997i | −0.641656 | + | 0.0922562i | ||||
\(712\) | 6.54713 | 0.245364 | ||||||||
\(713\) | 35.4587 | − | 2.19280i | 1.32794 | − | 0.0821211i | ||||
\(714\) | 1.42782 | + | 17.9162i | 0.0534350 | + | 0.670496i | ||||
\(715\) | −7.02443 | − | 48.8560i | −0.262699 | − | 1.82711i | ||||
\(716\) | 8.05047 | − | 17.6281i | 0.300860 | − | 0.658792i | ||||
\(717\) | 0.0980193 | + | 0.333823i | 0.00366060 | + | 0.0124669i | ||||
\(718\) | 23.7178 | + | 20.5516i | 0.885142 | + | 0.766980i | ||||
\(719\) | −2.03363 | + | 6.92590i | −0.0758415 | + | 0.258293i | −0.988683 | − | 0.150023i | \(-0.952065\pi\) |
0.912841 | + | 0.408315i | \(0.133884\pi\) | |||||||
\(720\) | −1.67717 | + | 1.07785i | −0.0625044 | + | 0.0401692i | ||||
\(721\) | −4.73938 | − | 8.51429i | −0.176504 | − | 0.317089i | ||||
\(722\) | 12.0721 | + | 13.9320i | 0.449278 | + | 0.518495i | ||||
\(723\) | 8.14843 | − | 12.6792i | 0.303043 | − | 0.471545i | ||||
\(724\) | −0.613698 | + | 4.26836i | −0.0228079 | + | 0.158632i | ||||
\(725\) | 1.22198 | − | 8.49904i | 0.0453831 | − | 0.315647i | ||||
\(726\) | −11.3255 | + | 17.6228i | −0.420328 | + | 0.654044i | ||||
\(727\) | −10.2211 | − | 11.7958i | −0.379081 | − | 0.437483i | 0.533861 | − | 0.845572i | \(-0.320741\pi\) |
−0.912942 | + | 0.408089i | \(0.866195\pi\) | |||||||
\(728\) | 10.1257 | − | 5.63636i | 0.375284 | − | 0.208897i | ||||
\(729\) | −0.841254 | + | 0.540641i | −0.0311575 | + | 0.0200237i | ||||
\(730\) | 1.91357 | − | 6.51702i | 0.0708244 | − | 0.241206i | ||||
\(731\) | −45.7773 | − | 39.6663i | −1.69314 | − | 1.46711i | ||||
\(732\) | −1.94161 | − | 6.61251i | −0.0717639 | − | 0.244405i | ||||
\(733\) | −6.07735 | + | 13.3075i | −0.224472 | + | 0.491526i | −0.988039 | − | 0.154203i | \(-0.950719\pi\) |
0.763567 | + | 0.645729i | \(0.223446\pi\) | |||||||
\(734\) | 0.0775385 | + | 0.539292i | 0.00286200 | + | 0.0199056i | ||||
\(735\) | −2.21033 | − | 13.7794i | −0.0815294 | − | 0.508262i | ||||
\(736\) | 1.63259 | + | 4.50940i | 0.0601780 | + | 0.166219i | ||||
\(737\) | 36.3129 | 1.33760 | ||||||||
\(738\) | −11.4257 | + | 1.64277i | −0.420586 | + | 0.0604711i | ||||
\(739\) | 19.4734 | − | 42.6408i | 0.716340 | − | 1.56857i | −0.102624 | − | 0.994720i | \(-0.532724\pi\) |
0.818964 | − | 0.573846i | \(-0.194549\pi\) | |||||||
\(740\) | −1.34338 | − | 4.57512i | −0.0493835 | − | 0.168185i | ||||
\(741\) | 2.15670 | − | 2.48896i | 0.0792283 | − | 0.0914343i | ||||
\(742\) | 2.91412 | − | 13.9405i | 0.106981 | − | 0.511771i | ||||
\(743\) | 3.71784 | + | 5.78507i | 0.136394 | + | 0.212234i | 0.902731 | − | 0.430206i | \(-0.141559\pi\) |
−0.766337 | + | 0.642439i | \(0.777923\pi\) | |||||||
\(744\) | 3.07730 | + | 6.73834i | 0.112819 | + | 0.247040i | ||||
\(745\) | 26.4660 | − | 22.9329i | 0.969640 | − | 0.840198i | ||||
\(746\) | 2.70850 | − | 4.21451i | 0.0991652 | − | 0.154304i | ||||
\(747\) | −0.648574 | + | 4.51093i | −0.0237301 | + | 0.165046i | ||||
\(748\) | 38.0060 | + | 5.46444i | 1.38964 | + | 0.199800i | ||||
\(749\) | 3.74476 | − | 6.99252i | 0.136830 | − | 0.255501i | ||||
\(750\) | 9.07840 | − | 7.86648i | 0.331496 | − | 0.287243i | ||||
\(751\) | 34.2356 | − | 15.6349i | 1.24927 | − | 0.570525i | 0.322652 | − | 0.946518i | \(-0.395426\pi\) |
0.926622 | + | 0.375993i | \(0.122698\pi\) | |||||||
\(752\) | 4.82448 | + | 7.50704i | 0.175931 | + | 0.273754i | ||||
\(753\) | −6.41843 | + | 21.8592i | −0.233901 | + | 0.796593i | ||||
\(754\) | 27.7212 | + | 24.0205i | 1.00955 | + | 0.874776i | ||||
\(755\) | −19.3098 | + | 5.66987i | −0.702755 | + | 0.206348i | ||||
\(756\) | 2.48637 | + | 0.904419i | 0.0904283 | + | 0.0328934i | ||||
\(757\) | −25.1172 | + | 3.61131i | −0.912901 | + | 0.131255i | −0.582730 | − | 0.812666i | \(-0.698016\pi\) |
−0.330171 | + | 0.943921i | \(0.607106\pi\) | |||||||
\(758\) | − | 7.38557i | − | 0.268256i | ||||||
\(759\) | −16.0350 | − | 21.8561i | −0.582032 | − | 0.793327i | ||||
\(760\) | 1.49901 | 0.0543747 | ||||||||
\(761\) | −45.2021 | + | 6.49908i | −1.63857 | + | 0.235591i | −0.899147 | − | 0.437646i | \(-0.855812\pi\) |
−0.739427 | + | 0.673237i | \(0.764903\pi\) | |||||||
\(762\) | 9.67101 | + | 4.41660i | 0.350344 | + | 0.159997i | ||||
\(763\) | −1.61623 | − | 4.22802i | −0.0585115 | − | 0.153065i | ||||
\(764\) | 16.5687 | + | 14.3568i | 0.599434 | + | 0.519413i | ||||
\(765\) | −12.9946 | − | 3.81556i | −0.469821 | − | 0.137952i | ||||
\(766\) | −25.7683 | + | 16.5603i | −0.931048 | + | 0.598348i | ||||
\(767\) | 16.9958 | + | 37.2157i | 0.613684 | + | 1.34378i | ||||
\(768\) | −0.755750 | + | 0.654861i | −0.0272708 | + | 0.0236303i | ||||
\(769\) | −27.2302 | − | 17.4998i | −0.981947 | − | 0.631059i | −0.0519588 | − | 0.998649i | \(-0.516546\pi\) |
−0.929988 | + | 0.367591i | \(0.880183\pi\) | |||||||
\(770\) | −29.7545 | − | 1.88518i | −1.07228 | − | 0.0679371i | ||||
\(771\) | 4.14902 | − | 28.8570i | 0.149423 | − | 1.03926i | ||||
\(772\) | 10.1117 | + | 6.49837i | 0.363927 | + | 0.233881i | ||||
\(773\) | −9.25044 | − | 10.6756i | −0.332715 | − | 0.383974i | 0.564600 | − | 0.825365i | \(-0.309031\pi\) |
−0.897315 | + | 0.441391i | \(0.854485\pi\) | |||||||
\(774\) | −8.11086 | + | 3.70410i | −0.291539 | + | 0.133141i | ||||
\(775\) | −4.10641 | − | 6.38970i | −0.147507 | − | 0.229525i | ||||
\(776\) | 3.45767 | + | 1.01526i | 0.124123 | + | 0.0364458i | ||||
\(777\) | −3.75088 | + | 5.09640i | −0.134562 | + | 0.182832i | ||||
\(778\) | −4.49442 | − | 15.3066i | −0.161133 | − | 0.548768i | ||||
\(779\) | 7.89487 | + | 3.60547i | 0.282863 | + | 0.129179i | ||||
\(780\) | 1.24276 | + | 8.64358i | 0.0444979 | + | 0.309490i | ||||
\(781\) | 15.3153i | 0.548023i | ||||||||
\(782\) | −15.8882 | + | 28.4419i | −0.568161 | + | 1.01708i | ||||
\(783\) | 8.37427i | 0.299272i | ||||||||
\(784\) | −2.08103 | − | 6.68351i | −0.0743224 | − | 0.238697i | ||||
\(785\) | −7.93397 | + | 17.3730i | −0.283176 | + | 0.620068i | ||||
\(786\) | 4.32698 | − | 1.27052i | 0.154338 | − | 0.0453178i | ||||
\(787\) | −2.09324 | + | 2.41573i | −0.0746159 | + | 0.0861114i | −0.791830 | − | 0.610741i | \(-0.790871\pi\) |
0.717214 | + | 0.696853i | \(0.245417\pi\) | |||||||
\(788\) | −12.9566 | − | 3.80440i | −0.461560 | − | 0.135526i | ||||
\(789\) | −21.1926 | + | 13.6196i | −0.754476 | + | 0.484872i | ||||
\(790\) | −31.3470 | + | 14.3157i | −1.11528 | + | 0.509330i | ||||
\(791\) | −2.87888 | + | 2.92605i | −0.102361 | + | 0.104039i | ||||
\(792\) | 3.05585 | − | 4.75500i | 0.108585 | − | 0.168962i | ||||
\(793\) | −29.8791 | − | 4.29597i | −1.06104 | − | 0.152554i | ||||
\(794\) | 2.00106 | + | 0.287708i | 0.0710148 | + | 0.0102104i | ||||
\(795\) | 9.02803 | + | 5.80196i | 0.320191 | + | 0.205774i | ||||
\(796\) | −5.24940 | − | 6.05813i | −0.186060 | − | 0.214725i | ||||
\(797\) | 0.858162 | + | 1.87911i | 0.0303977 | + | 0.0665616i | 0.924222 | − | 0.381856i | \(-0.124715\pi\) |
−0.893824 | + | 0.448418i | \(0.851988\pi\) | |||||||
\(798\) | −1.20505 | − | 1.58278i | −0.0426584 | − | 0.0560299i | ||||
\(799\) | −17.0785 | + | 58.1641i | −0.604195 | + | 2.05770i | ||||
\(800\) | 0.671453 | − | 0.774898i | 0.0237394 | − | 0.0273968i | ||||
\(801\) | 6.28193 | − | 1.84454i | 0.221961 | − | 0.0651736i | ||||
\(802\) | 13.0351 | + | 5.95294i | 0.460286 | + | 0.210206i | ||||
\(803\) | 2.74051 | + | 19.0606i | 0.0967104 | + | 0.672635i | ||||
\(804\) | −6.42448 | −0.226574 | ||||||||
\(805\) | 10.5434 | − | 22.9947i | 0.371605 | − | 0.810458i | ||||
\(806\) | 32.4470 | 1.14290 | ||||||||
\(807\) | −3.88424 | − | 27.0155i | −0.136732 | − | 0.950990i | ||||
\(808\) | 2.94678 | + | 1.34575i | 0.103667 | + | 0.0473433i | ||||
\(809\) | 53.8131 | − | 15.8010i | 1.89197 | − | 0.555532i | 0.898875 | − | 0.438204i | \(-0.144385\pi\) |
0.993093 | − | 0.117328i | \(-0.0374328\pi\) | |||||||
\(810\) | −1.30557 | + | 1.50670i | −0.0458729 | + | 0.0529402i | ||||
\(811\) | 0.453665 | − | 1.54504i | 0.0159303 | − | 0.0542537i | −0.951144 | − | 0.308747i | \(-0.900090\pi\) |
0.967075 | + | 0.254493i | \(0.0819086\pi\) | |||||||
\(812\) | 17.6285 | − | 13.4214i | 0.618639 | − | 0.471000i | ||||
\(813\) | −12.1690 | − | 26.6463i | −0.426784 | − | 0.934527i | ||||
\(814\) | 8.85286 | + | 10.2167i | 0.310292 | + | 0.358097i | ||||
\(815\) | 17.9927 | + | 11.5632i | 0.630258 | + | 0.405042i | ||||
\(816\) | −6.72401 | − | 0.966766i | −0.235387 | − | 0.0338436i | ||||
\(817\) | 6.63608 | + | 0.954124i | 0.232167 | + | 0.0333806i | ||||
\(818\) | −3.59519 | + | 5.59423i | −0.125703 | + | 0.195598i | ||||
\(819\) | 8.12760 | − | 8.26079i | 0.284001 | − | 0.288655i | ||||
\(820\) | −20.9335 | + | 9.56000i | −0.731029 | + | 0.333850i | ||||
\(821\) | −29.4354 | + | 18.9170i | −1.02730 | + | 0.660207i | −0.941815 | − | 0.336132i | \(-0.890881\pi\) |
−0.0854873 | + | 0.996339i | \(0.527245\pi\) | |||||||
\(822\) | 6.36722 | + | 1.86958i | 0.222082 | + | 0.0652092i | ||||
\(823\) | −30.1374 | + | 34.7805i | −1.05053 | + | 1.21237i | −0.0739347 | + | 0.997263i | \(0.523556\pi\) |
−0.976590 | + | 0.215107i | \(0.930990\pi\) | |||||||
\(824\) | 3.53388 | − | 1.03764i | 0.123108 | − | 0.0361479i | ||||
\(825\) | −2.40753 | + | 5.27176i | −0.0838195 | + | 0.183539i | ||||
\(826\) | 24.1046 | − | 5.44916i | 0.838705 | − | 0.189600i | ||||
\(827\) | − | 30.0747i | − | 1.04580i | −0.852394 | − | 0.522899i | \(-0.824850\pi\) | ||
0.852394 | − | 0.522899i | \(-0.175150\pi\) | |||||||
\(828\) | 2.83690 | + | 3.86678i | 0.0985891 | + | 0.134380i | ||||
\(829\) | − | 6.98616i | − | 0.242640i | −0.992613 | − | 0.121320i | \(-0.961287\pi\) | ||
0.992613 | − | 0.121320i | \(-0.0387126\pi\) | |||||||
\(830\) | 1.29303 | + | 8.99324i | 0.0448818 | + | 0.312160i | ||||
\(831\) | 24.1223 | + | 11.0163i | 0.836793 | + | 0.382150i | ||||
\(832\) | 1.23402 | + | 4.20270i | 0.0427821 | + | 0.145702i | ||||
\(833\) | 25.0550 | − | 40.4159i | 0.868105 | − | 1.40033i | ||||
\(834\) | −0.308428 | − | 0.0905626i | −0.0106800 | − | 0.00313593i | ||||
\(835\) | 12.6393 | + | 19.6671i | 0.437401 | + | 0.680609i | ||||
\(836\) | −3.86583 | + | 1.76547i | −0.133703 | + | 0.0610599i | ||||
\(837\) | 4.85106 | + | 5.59842i | 0.167677 | + | 0.193510i | ||||
\(838\) | 22.8408 | + | 14.6789i | 0.789022 | + | 0.507073i | ||||
\(839\) | 2.24230 | − | 15.5955i | 0.0774127 | − | 0.538417i | −0.913803 | − | 0.406159i | \(-0.866868\pi\) |
0.991215 | − | 0.132259i | \(-0.0422229\pi\) | |||||||
\(840\) | 5.26416 | + | 0.333525i | 0.181631 | + | 0.0115077i | ||||
\(841\) | 34.5994 | + | 22.2357i | 1.19308 | + | 0.766747i | ||||
\(842\) | −8.46591 | + | 7.33576i | −0.291755 | + | 0.252807i | ||||
\(843\) | −9.03624 | − | 19.7866i | −0.311225 | − | 0.681487i | ||||
\(844\) | −6.13040 | + | 3.93977i | −0.211017 | + | 0.135612i | ||||
\(845\) | 11.8323 | + | 3.47427i | 0.407043 | + | 0.119518i | ||||
\(846\) | 6.74404 | + | 5.84374i | 0.231865 | + | 0.200912i | ||||
\(847\) | 51.7703 | − | 19.7900i | 1.77885 | − | 0.679994i | ||||
\(848\) | 4.89645 | + | 2.23613i | 0.168145 | + | 0.0767892i | ||||
\(849\) | 1.97678 | − | 0.284218i | 0.0678428 | − | 0.00975432i | ||||
\(850\) | 6.96527 | 0.238907 | ||||||||
\(851\) | −10.7852 | + | 3.90470i | −0.369713 | + | 0.133851i | ||||
\(852\) | − | 2.70957i | − | 0.0928284i | ||||||
\(853\) | 21.0167 | − | 3.02175i | 0.719599 | − | 0.103463i | 0.227220 | − | 0.973844i | \(-0.427036\pi\) |
0.492379 | + | 0.870381i | \(0.336127\pi\) | |||||||
\(854\) | −6.23296 | + | 17.1352i | −0.213287 | + | 0.586355i | ||||
\(855\) | 1.43829 | − | 0.422319i | 0.0491884 | − | 0.0144430i | ||||
\(856\) | 2.26578 | + | 1.96331i | 0.0774428 | + | 0.0671046i | ||||
\(857\) | −6.76447 | + | 23.0377i | −0.231070 | + | 0.786952i | 0.759567 | + | 0.650429i | \(0.225411\pi\) |
−0.990637 | + | 0.136523i | \(0.956407\pi\) | |||||||
\(858\) | −13.3850 | − | 20.8275i | −0.456957 | − | 0.711040i | ||||
\(859\) | 20.6848 | − | 9.44642i | 0.705756 | − | 0.322308i | −0.0300047 | − | 0.999550i | \(-0.509552\pi\) |
0.735760 | + | 0.677242i | \(0.236825\pi\) | |||||||
\(860\) | −13.4347 | + | 11.6413i | −0.458121 | + | 0.396964i | ||||
\(861\) | 26.9227 | + | 14.4181i | 0.917524 | + | 0.491369i | ||||
\(862\) | −36.9735 | − | 5.31598i | −1.25932 | − | 0.181063i | ||||
\(863\) | 3.44788 | − | 23.9805i | 0.117367 | − | 0.816306i | −0.843069 | − | 0.537805i | \(-0.819253\pi\) |
0.960436 | − | 0.278501i | \(-0.0898374\pi\) | |||||||
\(864\) | −0.540641 | + | 0.841254i | −0.0183930 | + | 0.0286200i | ||||
\(865\) | 11.5103 | − | 9.97370i | 0.391361 | − | 0.339116i | ||||
\(866\) | 0.310829 | + | 0.680620i | 0.0105624 | + | 0.0231284i | ||||
\(867\) | −15.7580 | − | 24.5200i | −0.535170 | − | 0.832741i | ||||
\(868\) | 4.01032 | − | 19.1844i | 0.136119 | − | 0.651162i | ||||
\(869\) | 63.9813 | − | 73.8383i | 2.17042 | − | 2.50479i | ||||
\(870\) | 4.70364 | + | 16.0191i | 0.159468 | + | 0.543099i | ||||
\(871\) | −11.6898 | + | 25.5971i | −0.396093 | + | 0.867324i | ||||
\(872\) | 1.69341 | − | 0.243475i | 0.0573460 | − | 0.00824512i | ||||
\(873\) | 3.60364 | 0.121965 | ||||||||
\(874\) | −0.222569 | − | 3.59906i | −0.00752853 | − | 0.121740i | ||||
\(875\) | −31.6815 | + | 2.52485i | −1.07103 | + | 0.0853554i | ||||
\(876\) | −0.484850 | − | 3.37220i | −0.0163816 | − | 0.113936i | ||||
\(877\) | 14.3014 | − | 31.3158i | 0.482926 | − | 1.05746i | −0.498723 | − | 0.866761i | \(-0.666198\pi\) |
0.981649 | − | 0.190698i | \(-0.0610752\pi\) | |||||||
\(878\) | −3.70362 | − | 12.6134i | −0.124991 | − | 0.425680i | ||||
\(879\) | −14.7402 | − | 12.7724i | −0.497173 | − | 0.430803i | ||||
\(880\) | 3.17476 | − | 10.8122i | 0.107021 | − | 0.364481i | ||||
\(881\) | −2.57499 | + | 1.65485i | −0.0867538 | + | 0.0557533i | −0.583299 | − | 0.812258i | \(-0.698238\pi\) |
0.496545 | + | 0.868011i | \(0.334602\pi\) | |||||||
\(882\) | −3.87969 | − | 5.82649i | −0.130636 | − | 0.196188i | ||||
\(883\) | 34.6779 | + | 40.0205i | 1.16701 | + | 1.34680i | 0.926566 | + | 0.376132i | \(0.122746\pi\) |
0.240439 | + | 0.970664i | \(0.422708\pi\) | |||||||
\(884\) | −16.0867 | + | 25.0314i | −0.541054 | + | 0.841897i | ||||
\(885\) | −2.65017 | + | 18.4323i | −0.0890845 | + | 0.619596i | ||||
\(886\) | 4.58614 | − | 31.8973i | 0.154075 | − | 1.07161i | ||||
\(887\) | 9.10555 | − | 14.1685i | 0.305735 | − | 0.475732i | −0.654057 | − | 0.756445i | \(-0.726934\pi\) |
0.959792 | + | 0.280713i | \(0.0905708\pi\) | |||||||
\(888\) | −1.56625 | − | 1.80754i | −0.0525597 | − | 0.0606572i | ||||
\(889\) | −13.6810 | − | 24.5779i | −0.458847 | − | 0.824317i | ||||
\(890\) | 10.9806 | − | 7.05684i | 0.368072 | − | 0.236546i | ||||
\(891\) | 1.59243 | − | 5.42332i | 0.0533485 | − | 0.181688i | ||||
\(892\) | −10.1968 | − | 8.83559i | −0.341415 | − | 0.295838i | ||||
\(893\) | −1.89031 | − | 6.43780i | −0.0632567 | − | 0.215433i | ||||
\(894\) | 7.29697 | − | 15.9781i | 0.244047 | − | 0.534389i | ||||
\(895\) | −5.49844 | − | 38.2425i | −0.183793 | − | 1.27831i | ||||
\(896\) | 2.63739 | − | 0.210186i | 0.0881090 | − | 0.00702181i | ||||
\(897\) | 20.5684 | − | 4.26720i | 0.686758 | − | 0.142478i | ||||
\(898\) | 7.51174 | 0.250670 | ||||||||
\(899\) | 61.4032 | − | 8.82845i | 2.04791 | − | 0.294445i | ||||
\(900\) | 0.425940 | − | 0.932679i | 0.0141980 | − | 0.0310893i | ||||
\(901\) | 10.3021 | + | 35.0856i | 0.343211 | + | 1.16887i | ||||
\(902\) | 42.7266 | − | 49.3091i | 1.42264 | − | 1.64181i | ||||
\(903\) | 23.0921 | + | 4.82717i | 0.768456 | + | 0.160638i | ||||
\(904\) | −0.838796 | − | 1.30519i | −0.0278979 | − | 0.0434100i | ||||
\(905\) | 3.57139 | + | 7.82025i | 0.118717 | + | 0.259954i | ||||
\(906\) | −7.62893 | + | 6.61050i | −0.253454 | + | 0.219619i | ||||
\(907\) | −20.5736 | + | 32.0131i | −0.683134 | + | 1.06298i | 0.310528 | + | 0.950564i | \(0.399494\pi\) |
−0.993662 | + | 0.112413i | \(0.964142\pi\) | |||||||
\(908\) | −1.50613 | + | 10.4754i | −0.0499828 | + | 0.347638i | ||||
\(909\) | 3.20656 | + | 0.461033i | 0.106355 | + | 0.0152915i | ||||
\(910\) | 10.9074 | − | 20.3672i | 0.361576 | − | 0.675165i | ||||
\(911\) | 23.0741 | − | 19.9938i | 0.764479 | − | 0.662425i | −0.182686 | − | 0.983171i | \(-0.558479\pi\) |
0.947165 | + | 0.320746i | \(0.103934\pi\) | |||||||
\(912\) | 0.683942 | − | 0.312346i | 0.0226476 | − | 0.0103428i | ||||
\(913\) | −13.9265 | − | 21.6701i | −0.460900 | − | 0.717174i | ||||
\(914\) | 1.20054 | − | 4.08867i | 0.0397104 | − | 0.135241i | ||||
\(915\) | −10.3837 | − | 8.99753i | −0.343275 | − | 0.297449i | ||||
\(916\) | 10.8943 | − | 3.19887i | 0.359959 | − | 0.105694i | ||||
\(917\) | −11.2127 | − | 4.07862i | −0.370275 | − | 0.134688i | ||||
\(918\) | −6.72401 | + | 0.966766i | −0.221925 | + | 0.0319080i | ||||
\(919\) | − | 22.7415i | − | 0.750174i | −0.926990 | − | 0.375087i | \(-0.877613\pi\) | ||
0.926990 | − | 0.375087i | \(-0.122387\pi\) | |||||||
\(920\) | 7.59859 | + | 5.80334i | 0.250518 | + | 0.191330i | ||||
\(921\) | −14.9187 | −0.491587 | ||||||||
\(922\) | −34.8814 | + | 5.01518i | −1.14876 | + | 0.165166i | ||||
\(923\) | −10.7958 | − | 4.93026i | −0.355347 | − | 0.162281i | ||||
\(924\) | −13.9687 | + | 5.33977i | −0.459537 | + | 0.175665i | ||||
\(925\) | 1.85334 | + | 1.60593i | 0.0609374 | + | 0.0528026i | ||||
\(926\) | 36.2237 | + | 10.6363i | 1.19039 | + | 0.349529i | ||||
\(927\) | 3.09839 | − | 1.99122i | 0.101765 | − | 0.0654001i | ||||
\(928\) | 3.47880 | + | 7.61750i | 0.114197 | + | 0.250057i | ||||
\(929\) | −15.3065 | + | 13.2632i | −0.502190 | + | 0.435150i | −0.868755 | − | 0.495242i | \(-0.835079\pi\) |
0.366565 | + | 0.930393i | \(0.380534\pi\) | |||||||
\(930\) | 12.4241 | + | 7.98447i | 0.407402 | + | 0.261821i | ||||
\(931\) | 0.0855416 | + | 5.26252i | 0.00280351 | + | 0.172472i | ||||
\(932\) | −1.95571 | + | 13.6023i | −0.0640615 | + | 0.445557i | ||||
\(933\) | 2.22056 | + | 1.42707i | 0.0726980 | + | 0.0467201i | ||||
\(934\) | −12.4896 | − | 14.4137i | −0.408671 | − | 0.471632i | ||||
\(935\) | 69.6323 | − | 31.8000i | 2.27722 | − | 1.03997i | ||||
\(936\) | 2.36808 | + | 3.68480i | 0.0774030 | + | 0.120441i | ||||
\(937\) | −24.0126 | − | 7.05075i | −0.784459 | − | 0.230338i | −0.135112 | − | 0.990830i | \(-0.543139\pi\) |
−0.649347 | + | 0.760493i | \(0.724958\pi\) | |||||||
\(938\) | 13.6896 | + | 10.0753i | 0.446981 | + | 0.328972i | ||||
\(939\) | −1.33459 | − | 4.54520i | −0.0435527 | − | 0.148327i | ||||
\(940\) | 16.1830 | + | 7.39051i | 0.527830 | + | 0.241052i | ||||
\(941\) | 6.01892 | + | 41.8625i | 0.196211 | + | 1.36468i | 0.815155 | + | 0.579244i | \(0.196652\pi\) |
−0.618943 | + | 0.785436i | \(0.712439\pi\) | |||||||
\(942\) | 9.57984i | 0.312128i | ||||||||
\(943\) | 26.0613 | + | 48.8410i | 0.848674 | + | 1.59048i | ||||
\(944\) | 9.34057i | 0.304010i | ||||||||
\(945\) | 5.14489 | − | 1.16307i | 0.167363 | − | 0.0378347i | ||||
\(946\) | 20.9366 | − | 45.8448i | 0.680709 | − | 1.49054i | ||||
\(947\) | −36.5109 | + | 10.7206i | −1.18644 | + | 0.348372i | −0.814655 | − | 0.579945i | \(-0.803074\pi\) |
−0.371790 | + | 0.928317i | \(0.621256\pi\) | |||||||
\(948\) | −11.3195 | + | 13.0635i | −0.367642 | + | 0.424281i | ||||
\(949\) | −14.3181 | − | 4.20417i | −0.464785 | − | 0.136473i | ||||
\(950\) | −0.648555 | + | 0.416801i | −0.0210419 | + | 0.0135228i | ||||
\(951\) | 17.3279 | − | 7.91339i | 0.561896 | − | 0.256609i | ||||
\(952\) | 12.8117 | + | 12.6051i | 0.415229 | + | 0.408534i | ||||
\(953\) | −12.6411 | + | 19.6699i | −0.409485 | + | 0.637171i | −0.983338 | − | 0.181787i | \(-0.941812\pi\) |
0.573853 | + | 0.818958i | \(0.305448\pi\) | |||||||
\(954\) | 5.32810 | + | 0.766065i | 0.172504 | + | 0.0248023i | ||||
\(955\) | 43.2631 | + | 6.22029i | 1.39996 | + | 0.201284i | ||||
\(956\) | 0.292686 | + | 0.188098i | 0.00946613 | + | 0.00608351i | ||||
\(957\) | −30.9970 | − | 35.7724i | −1.00199 | − | 1.15636i | ||||
\(958\) | −8.85109 | − | 19.3812i | −0.285966 | − | 0.626177i | ||||
\(959\) | −10.6356 | − | 13.9694i | −0.343440 | − | 0.451094i | ||||
\(960\) | −0.561678 | + | 1.91290i | −0.0181281 | + | 0.0617385i | ||||
\(961\) | 15.6348 | − | 18.0435i | 0.504348 | − | 0.582049i | ||||
\(962\) | −10.0517 | + | 2.95144i | −0.324080 | + | 0.0951584i | ||||
\(963\) | 2.72713 | + | 1.24544i | 0.0878806 | + | 0.0401337i | ||||
\(964\) | −2.14494 | − | 14.9184i | −0.0690839 | − | 0.480489i | ||||
\(965\) | 23.9633 | 0.771404 | ||||||||
\(966\) | 0.0191684 | − | 12.6886i | 0.000616733 | − | 0.408248i | ||||
\(967\) | 27.1601 | 0.873409 | 0.436705 | − | 0.899605i | \(-0.356146\pi\) | ||||
0.436705 | + | 0.899605i | \(0.356146\pi\) | |||||||
\(968\) | 2.98125 | + | 20.7351i | 0.0958210 | + | 0.666450i | ||||
\(969\) | 4.64612 | + | 2.12181i | 0.149255 | + | 0.0681624i | ||||
\(970\) | 6.89340 | − | 2.02408i | 0.221334 | − | 0.0649894i | ||||
\(971\) | 28.1224 | − | 32.4550i | 0.902491 | − | 1.04153i | −0.0964420 | − | 0.995339i | \(-0.530746\pi\) |
0.998933 | − | 0.0461911i | \(-0.0147083\pi\) | |||||||
\(972\) | −0.281733 | + | 0.959493i | −0.00903658 | + | 0.0307758i | ||||
\(973\) | 0.515186 | + | 0.676675i | 0.0165161 | + | 0.0216932i | ||||
\(974\) | 16.6308 | + | 36.4165i | 0.532886 | + | 1.16686i | ||||
\(975\) | −2.94105 | − | 3.39415i | −0.0941889 | − | 0.108700i | ||||
\(976\) | −5.79764 | − | 3.72592i | −0.185578 | − | 0.119264i | ||||
\(977\) | 4.71152 | + | 0.677414i | 0.150735 | + | 0.0216724i | 0.217269 | − | 0.976112i | \(-0.430285\pi\) |
−0.0665343 | + | 0.997784i | \(0.521194\pi\) | |||||||
\(978\) | 10.6188 | + | 1.52676i | 0.339553 | + | 0.0488204i | ||||
\(979\) | −20.0071 | + | 31.1316i | −0.639429 | + | 0.994971i | ||||
\(980\) | −10.6941 | − | 8.96635i | −0.341610 | − | 0.286419i | ||||
\(981\) | 1.55622 | − | 0.710701i | 0.0496862 | − | 0.0226909i | ||||
\(982\) | 33.9076 | − | 21.7911i | 1.08204 | − | 0.695383i | ||||
\(983\) | 17.2412 | + | 5.06246i | 0.549908 | + | 0.161467i | 0.544871 | − | 0.838520i | \(-0.316579\pi\) |
0.00503657 | + | 0.999987i | \(0.498397\pi\) | |||||||
\(984\) | −7.55918 | + | 8.72376i | −0.240978 | + | 0.278103i | ||||
\(985\) | −25.8310 | + | 7.58467i | −0.823044 | + | 0.241668i | ||||
\(986\) | −23.6320 | + | 51.7469i | −0.752596 | + | 1.64796i | ||||
\(987\) | −5.20593 | − | 23.0286i | −0.165706 | − | 0.733009i | ||||
\(988\) | − | 3.29337i | − | 0.104776i | ||||||
\(989\) | 29.9450 | + | 30.5278i | 0.952195 | + | 0.970727i | ||||
\(990\) | − | 11.2687i | − | 0.358143i | ||||||
\(991\) | −4.94785 | − | 34.4130i | −0.157174 | − | 1.09317i | −0.903810 | − | 0.427934i | \(-0.859242\pi\) |
0.746637 | − | 0.665232i | \(-0.231667\pi\) | |||||||
\(992\) | 6.73834 | + | 3.07730i | 0.213943 | + | 0.0977043i | ||||
\(993\) | 4.70233 | + | 16.0147i | 0.149224 | + | 0.508210i | ||||
\(994\) | −4.24935 | + | 5.77369i | −0.134781 | + | 0.183130i | ||||
\(995\) | −15.3339 | − | 4.50244i | −0.486117 | − | 0.142737i | ||||
\(996\) | 2.46387 | + | 3.83386i | 0.0780708 | + | 0.121481i | ||||
\(997\) | −17.8789 | + | 8.16504i | −0.566232 | + | 0.258589i | −0.677897 | − | 0.735156i | \(-0.737109\pi\) |
0.111666 | + | 0.993746i | \(0.464381\pi\) | |||||||
\(998\) | 0.909286 | + | 1.04937i | 0.0287830 | + | 0.0332173i | ||||
\(999\) | −2.01205 | − | 1.29306i | −0.0636583 | − | 0.0409107i |
(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 | 966.2.s.a.181.3 | ✓ | 160 | |
7.6 | odd | 2 | inner | 966.2.s.a.181.14 | yes | 160 | |
23.15 | odd | 22 | inner | 966.2.s.a.475.14 | yes | 160 | |
161.153 | even | 22 | inner | 966.2.s.a.475.3 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.2.s.a.181.3 | ✓ | 160 | 1.1 | even | 1 | trivial | |
966.2.s.a.181.14 | yes | 160 | 7.6 | odd | 2 | inner | |
966.2.s.a.475.3 | yes | 160 | 161.153 | even | 22 | inner | |
966.2.s.a.475.14 | yes | 160 | 23.15 | odd | 22 | inner |