Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [400,2,Mod(67,400)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(400, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 15, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("400.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 400 = 2^{4} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 400.bm (of order \(20\), degree \(8\), 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: | \(3.19401608085\) |
Analytic rank: | \(0\) |
Dimension: | \(464\) |
Relative dimension: | \(58\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 123.19 | ||
Character | \(\chi\) | \(=\) | 400.123 |
Dual form | 400.2.bm.a.387.19 |
$q$-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 \(\left(\mathbb{Z}/400\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(177\) | \(351\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{11}{20}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.731336 | + | 1.21043i | −0.517132 | + | 0.855905i | ||||
\(3\) | 2.47039 | + | 0.802680i | 1.42628 | + | 0.463427i | 0.917593 | − | 0.397522i | \(-0.130130\pi\) |
0.508690 | + | 0.860949i | \(0.330130\pi\) | |||||||
\(4\) | −0.930297 | − | 1.77047i | −0.465148 | − | 0.885233i | ||||
\(5\) | 2.21235 | + | 0.324824i | 0.989393 | + | 0.145266i | ||||
\(6\) | −2.77828 | + | 2.40322i | −1.13423 | + | 0.981110i | ||||
\(7\) | −0.345636 | + | 0.345636i | −0.130638 | + | 0.130638i | −0.769402 | − | 0.638764i | \(-0.779446\pi\) |
0.638764 | + | 0.769402i | \(0.279446\pi\) | |||||||
\(8\) | 2.82339 | + | 0.168743i | 0.998219 | + | 0.0596595i | ||||
\(9\) | 3.03150 | + | 2.20252i | 1.01050 | + | 0.734172i | ||||
\(10\) | −2.01115 | + | 2.44035i | −0.635981 | + | 0.771705i | ||||
\(11\) | 0.0590135 | − | 0.372596i | 0.0177932 | − | 0.112342i | −0.977193 | − | 0.212352i | \(-0.931888\pi\) |
0.994986 | + | 0.100010i | \(0.0318876\pi\) | |||||||
\(12\) | −0.877083 | − | 5.12048i | −0.253192 | − | 1.47816i | ||||
\(13\) | −1.02336 | − | 0.743514i | −0.283829 | − | 0.206214i | 0.436757 | − | 0.899580i | \(-0.356127\pi\) |
−0.720586 | + | 0.693366i | \(0.756127\pi\) | |||||||
\(14\) | −0.165593 | − | 0.671144i | −0.0442566 | − | 0.179371i | ||||
\(15\) | 5.20465 | + | 2.57825i | 1.34383 | + | 0.665702i | ||||
\(16\) | −2.26910 | + | 3.29412i | −0.567274 | + | 0.823529i | ||||
\(17\) | −3.12352 | − | 1.59151i | −0.757565 | − | 0.385999i | 0.0321414 | − | 0.999483i | \(-0.489767\pi\) |
−0.789707 | + | 0.613485i | \(0.789767\pi\) | |||||||
\(18\) | −4.88305 | + | 2.05865i | −1.15095 | + | 0.485230i | ||||
\(19\) | 5.22229 | + | 2.66089i | 1.19807 | + | 0.610450i | 0.935111 | − | 0.354356i | \(-0.115300\pi\) |
0.262964 | + | 0.964806i | \(0.415300\pi\) | |||||||
\(20\) | −1.48305 | − | 4.21907i | −0.331620 | − | 0.943413i | ||||
\(21\) | −1.13129 | + | 0.576422i | −0.246868 | + | 0.125786i | ||||
\(22\) | 0.407844 | + | 0.343925i | 0.0869527 | + | 0.0733250i | ||||
\(23\) | −1.29389 | − | 0.204932i | −0.269794 | − | 0.0427312i | 0.0200715 | − | 0.999799i | \(-0.493611\pi\) |
−0.289866 | + | 0.957067i | \(0.593611\pi\) | |||||||
\(24\) | 6.83944 | + | 2.68314i | 1.39609 | + | 0.547693i | ||||
\(25\) | 4.78898 | + | 1.43725i | 0.957796 | + | 0.287450i | ||||
\(26\) | 1.64839 | − | 0.694950i | 0.323276 | − | 0.136291i | ||||
\(27\) | 1.14073 | + | 1.57008i | 0.219534 | + | 0.302163i | ||||
\(28\) | 0.933480 | + | 0.290392i | 0.176411 | + | 0.0548790i | ||||
\(29\) | 3.65318 | − | 1.86139i | 0.678378 | − | 0.345651i | −0.0806190 | − | 0.996745i | \(-0.525690\pi\) |
0.758997 | + | 0.651094i | \(0.225690\pi\) | |||||||
\(30\) | −6.92715 | + | 4.41431i | −1.26472 | + | 0.805939i | ||||
\(31\) | −5.97506 | + | 1.94142i | −1.07315 | + | 0.348688i | −0.791715 | − | 0.610891i | \(-0.790811\pi\) |
−0.281438 | + | 0.959579i | \(0.590811\pi\) | |||||||
\(32\) | −2.32784 | − | 5.15569i | −0.411507 | − | 0.911406i | ||||
\(33\) | 0.444862 | − | 0.873091i | 0.0774406 | − | 0.151986i | ||||
\(34\) | 4.21076 | − | 2.61688i | 0.722140 | − | 0.448792i | ||||
\(35\) | −0.876938 | + | 0.652396i | −0.148230 | + | 0.110275i | ||||
\(36\) | 1.07928 | − | 7.41617i | 0.179880 | − | 1.23603i | ||||
\(37\) | −5.49014 | − | 3.98882i | −0.902574 | − | 0.655758i | 0.0365518 | − | 0.999332i | \(-0.488363\pi\) |
−0.939126 | + | 0.343573i | \(0.888363\pi\) | |||||||
\(38\) | −7.04007 | + | 4.37523i | −1.14205 | + | 0.709756i | ||||
\(39\) | −1.93130 | − | 2.65820i | −0.309255 | − | 0.425653i | ||||
\(40\) | 6.19151 | + | 1.29042i | 0.978964 | + | 0.204034i | ||||
\(41\) | −0.583190 | + | 0.802693i | −0.0910790 | + | 0.125360i | −0.852125 | − | 0.523339i | \(-0.824686\pi\) |
0.761046 | + | 0.648698i | \(0.224686\pi\) | |||||||
\(42\) | 0.129634 | − | 1.79091i | 0.0200029 | − | 0.276343i | ||||
\(43\) | 2.14145 | 0.326568 | 0.163284 | − | 0.986579i | \(-0.447791\pi\) | ||||
0.163284 | + | 0.986579i | \(0.447791\pi\) | |||||||
\(44\) | −0.714569 | + | 0.242144i | −0.107725 | + | 0.0365046i | ||||
\(45\) | 5.99132 | + | 5.85744i | 0.893133 | + | 0.873176i | ||||
\(46\) | 1.19432 | − | 1.41629i | 0.176093 | − | 0.208821i | ||||
\(47\) | −6.02758 | + | 3.07121i | −0.879213 | + | 0.447981i | −0.834493 | − | 0.551018i | \(-0.814240\pi\) |
−0.0447199 | + | 0.999000i | \(0.514240\pi\) | |||||||
\(48\) | −8.24968 | + | 6.31641i | −1.19074 | + | 0.911695i | ||||
\(49\) | 6.76107i | 0.965867i | ||||||||
\(50\) | −5.24204 | + | 4.74563i | −0.741337 | + | 0.671133i | ||||
\(51\) | −6.43886 | − | 6.43886i | −0.901620 | − | 0.901620i | ||||
\(52\) | −0.364338 | + | 2.50351i | −0.0505246 | + | 0.347175i | ||||
\(53\) | −11.7526 | − | 3.81866i | −1.61435 | − | 0.524533i | −0.643747 | − | 0.765238i | \(-0.722621\pi\) |
−0.970598 | + | 0.240705i | \(0.922621\pi\) | |||||||
\(54\) | −2.73474 | + | 0.232523i | −0.372151 | + | 0.0316423i | ||||
\(55\) | 0.251587 | − | 0.805145i | 0.0339240 | − | 0.108566i | ||||
\(56\) | −1.03419 | + | 0.917540i | −0.138199 | + | 0.122611i | ||||
\(57\) | 10.7653 | + | 10.7653i | 1.42589 | + | 1.42589i | ||||
\(58\) | −0.418614 | + | 5.78323i | −0.0549667 | + | 0.759375i | ||||
\(59\) | −1.23986 | − | 7.82817i | −0.161416 | − | 1.01914i | −0.926797 | − | 0.375563i | \(-0.877449\pi\) |
0.765381 | − | 0.643577i | \(-0.222551\pi\) | |||||||
\(60\) | −0.277157 | − | 11.6132i | −0.0357809 | − | 1.49926i | ||||
\(61\) | 1.56187 | − | 9.86129i | 0.199978 | − | 1.26261i | −0.659605 | − | 0.751612i | \(-0.729277\pi\) |
0.859583 | − | 0.510996i | \(-0.170723\pi\) | |||||||
\(62\) | 2.01982 | − | 8.65224i | 0.256518 | − | 1.09884i | ||||
\(63\) | −1.80906 | + | 0.286528i | −0.227921 | + | 0.0360991i | ||||
\(64\) | 7.94305 | + | 0.952852i | 0.992881 | + | 0.119106i | ||||
\(65\) | −2.02252 | − | 1.97732i | −0.250862 | − | 0.245257i | ||||
\(66\) | 0.731475 | + | 1.17700i | 0.0900384 | + | 0.144879i | ||||
\(67\) | 4.23760 | + | 13.0420i | 0.517705 | + | 1.59333i | 0.778306 | + | 0.627885i | \(0.216079\pi\) |
−0.260601 | + | 0.965447i | \(0.583921\pi\) | |||||||
\(68\) | 0.0880814 | + | 7.01067i | 0.0106814 | + | 0.850168i | ||||
\(69\) | −3.03192 | − | 1.54484i | −0.365000 | − | 0.185977i | ||||
\(70\) | −0.148346 | − | 1.53859i | −0.0177307 | − | 0.183897i | ||||
\(71\) | −4.08609 | + | 12.5757i | −0.484929 | + | 1.49246i | 0.347154 | + | 0.937808i | \(0.387148\pi\) |
−0.832083 | + | 0.554651i | \(0.812852\pi\) | |||||||
\(72\) | 8.18746 | + | 6.73011i | 0.964901 | + | 0.793151i | ||||
\(73\) | 0.767515 | − | 4.84590i | 0.0898308 | − | 0.567169i | −0.901186 | − | 0.433432i | \(-0.857302\pi\) |
0.991017 | − | 0.133737i | \(-0.0426977\pi\) | |||||||
\(74\) | 8.84334 | − | 3.72828i | 1.02802 | − | 0.433404i | ||||
\(75\) | 10.6770 | + | 7.39459i | 1.23288 | + | 0.853854i | ||||
\(76\) | −0.147265 | − | 11.7213i | −0.0168925 | − | 1.34452i | ||||
\(77\) | 0.108385 | + | 0.149180i | 0.0123517 | + | 0.0170006i | ||||
\(78\) | 4.63000 | − | 0.393668i | 0.524245 | − | 0.0445741i | ||||
\(79\) | 3.47709 | − | 10.7014i | 0.391203 | − | 1.20400i | −0.540676 | − | 0.841231i | \(-0.681832\pi\) |
0.931879 | − | 0.362769i | \(-0.118168\pi\) | |||||||
\(80\) | −6.09004 | + | 6.55068i | −0.680887 | + | 0.732388i | ||||
\(81\) | −1.91601 | − | 5.89687i | −0.212890 | − | 0.655208i | ||||
\(82\) | −0.545098 | − | 1.29295i | −0.0601960 | − | 0.142783i | ||||
\(83\) | 7.86851 | − | 2.55663i | 0.863682 | − | 0.280627i | 0.156516 | − | 0.987675i | \(-0.449974\pi\) |
0.707165 | + | 0.707048i | \(0.249974\pi\) | |||||||
\(84\) | 2.07297 | + | 1.46667i | 0.226180 | + | 0.160027i | ||||
\(85\) | −6.39336 | − | 4.53558i | −0.693457 | − | 0.491953i | ||||
\(86\) | −1.56612 | + | 2.59208i | −0.168879 | + | 0.279511i | ||||
\(87\) | 10.5189 | − | 1.66603i | 1.12774 | − | 0.178617i | ||||
\(88\) | 0.229491 | − | 1.04203i | 0.0244638 | − | 0.111080i | ||||
\(89\) | −2.35276 | + | 1.70938i | −0.249392 | + | 0.181194i | −0.705457 | − | 0.708753i | \(-0.749258\pi\) |
0.456065 | + | 0.889946i | \(0.349258\pi\) | |||||||
\(90\) | −11.4717 | + | 2.96833i | −1.20922 | + | 0.312890i | ||||
\(91\) | 0.610694 | − | 0.0967245i | 0.0640182 | − | 0.0101395i | ||||
\(92\) | 0.840874 | + | 2.48143i | 0.0876672 | + | 0.258707i | ||||
\(93\) | −16.3191 | −1.69221 | ||||||||
\(94\) | 0.690695 | − | 9.54207i | 0.0712398 | − | 0.984189i | ||||
\(95\) | 10.6892 | + | 7.58314i | 1.09669 | + | 0.778014i | ||||
\(96\) | −1.61230 | − | 14.6051i | −0.164555 | − | 1.49063i | ||||
\(97\) | −7.35410 | − | 14.4332i | −0.746696 | − | 1.46547i | −0.880290 | − | 0.474436i | \(-0.842652\pi\) |
0.133594 | − | 0.991036i | \(-0.457348\pi\) | |||||||
\(98\) | −8.18383 | − | 4.94461i | −0.826691 | − | 0.499481i | ||||
\(99\) | 0.999550 | − | 0.999550i | 0.100459 | − | 0.100459i | ||||
\(100\) | −1.91057 | − | 9.81579i | −0.191057 | − | 0.981579i | ||||
\(101\) | −1.18021 | − | 1.18021i | −0.117436 | − | 0.117436i | 0.645947 | − | 0.763382i | \(-0.276463\pi\) |
−0.763382 | + | 0.645947i | \(0.776463\pi\) | |||||||
\(102\) | 12.5028 | − | 3.08484i | 1.23796 | − | 0.305445i | ||||
\(103\) | 15.6672 | − | 7.98286i | 1.54374 | − | 0.786575i | 0.545083 | − | 0.838382i | \(-0.316498\pi\) |
0.998657 | + | 0.0518075i | \(0.0164982\pi\) | |||||||
\(104\) | −2.76388 | − | 2.27191i | −0.271021 | − | 0.222779i | ||||
\(105\) | −2.69005 | + | 0.907775i | −0.262522 | + | 0.0885898i | ||||
\(106\) | 13.2173 | − | 11.4330i | 1.28378 | − | 1.11047i | ||||
\(107\) | 15.6929i | 1.51709i | 0.651618 | + | 0.758547i | \(0.274091\pi\) | ||||
−0.651618 | + | 0.758547i | \(0.725909\pi\) | |||||||
\(108\) | 1.71856 | − | 3.48027i | 0.165369 | − | 0.334889i | ||||
\(109\) | −1.60502 | − | 10.1337i | −0.153733 | − | 0.970634i | −0.937097 | − | 0.349070i | \(-0.886497\pi\) |
0.783363 | − | 0.621564i | \(-0.213503\pi\) | |||||||
\(110\) | 0.790579 | + | 0.893360i | 0.0753788 | + | 0.0851785i | ||||
\(111\) | −10.3611 | − | 14.2608i | −0.983430 | − | 1.35357i | ||||
\(112\) | −0.354283 | − | 1.92284i | −0.0334766 | − | 0.181692i | ||||
\(113\) | −1.93671 | − | 12.2279i | −0.182190 | − | 1.15030i | −0.894045 | − | 0.447978i | \(-0.852144\pi\) |
0.711854 | − | 0.702327i | \(-0.247856\pi\) | |||||||
\(114\) | −20.9037 | + | 5.15761i | −1.95781 | + | 0.483055i | ||||
\(115\) | −2.79596 | − | 0.873666i | −0.260725 | − | 0.0814698i | ||||
\(116\) | −6.69406 | − | 4.73618i | −0.621528 | − | 0.439744i | ||||
\(117\) | −1.46472 | − | 4.50793i | −0.135413 | − | 0.416759i | ||||
\(118\) | 10.3822 | + | 4.22425i | 0.955761 | + | 0.388874i | ||||
\(119\) | 1.62968 | − | 0.529517i | 0.149393 | − | 0.0485407i | ||||
\(120\) | 14.2597 | + | 8.15766i | 1.30172 | + | 0.744689i | ||||
\(121\) | 10.3263 | + | 3.35521i | 0.938752 | + | 0.305019i | ||||
\(122\) | 10.7942 | + | 9.10246i | 0.977259 | + | 0.824098i | ||||
\(123\) | −2.08502 | + | 1.51485i | −0.188000 | + | 0.136590i | ||||
\(124\) | 8.99579 | + | 8.77255i | 0.807846 | + | 0.787798i | ||||
\(125\) | 10.1280 | + | 4.73527i | 0.905879 | + | 0.423536i | ||||
\(126\) | 0.976211 | − | 2.39930i | 0.0869677 | − | 0.213747i | ||||
\(127\) | −1.27124 | − | 0.201345i | −0.112805 | − | 0.0178665i | 0.0997768 | − | 0.995010i | \(-0.468187\pi\) |
−0.212582 | + | 0.977143i | \(0.568187\pi\) | |||||||
\(128\) | −6.96240 | + | 8.91768i | −0.615395 | + | 0.788219i | ||||
\(129\) | 5.29022 | + | 1.71890i | 0.465778 | + | 0.151341i | ||||
\(130\) | 3.87256 | − | 1.00203i | 0.339646 | − | 0.0878841i | ||||
\(131\) | 3.75372 | − | 7.36709i | 0.327964 | − | 0.643666i | −0.666871 | − | 0.745173i | \(-0.732367\pi\) |
0.994835 | + | 0.101508i | \(0.0323667\pi\) | |||||||
\(132\) | −1.95963 | + | 0.0246206i | −0.170564 | + | 0.00214295i | ||||
\(133\) | −2.72471 | + | 0.885311i | −0.236262 | + | 0.0767662i | ||||
\(134\) | −18.8856 | − | 4.40874i | −1.63146 | − | 0.380857i | ||||
\(135\) | 2.01370 | + | 3.84411i | 0.173312 | + | 0.330849i | ||||
\(136\) | −8.55036 | − | 5.02053i | −0.733187 | − | 0.430507i | ||||
\(137\) | −0.179346 | − | 1.13235i | −0.0153226 | − | 0.0967429i | 0.978842 | − | 0.204618i | \(-0.0655953\pi\) |
−0.994164 | + | 0.107875i | \(0.965595\pi\) | |||||||
\(138\) | 4.08727 | − | 2.54014i | 0.347932 | − | 0.216231i | ||||
\(139\) | 9.27033 | + | 1.46828i | 0.786300 | + | 0.124538i | 0.536657 | − | 0.843800i | \(-0.319687\pi\) |
0.249642 | + | 0.968338i | \(0.419687\pi\) | |||||||
\(140\) | 1.97086 | + | 0.945666i | 0.166568 | + | 0.0799234i | ||||
\(141\) | −17.3557 | + | 2.74887i | −1.46161 | + | 0.231497i | ||||
\(142\) | −12.2337 | − | 14.1430i | −1.02663 | − | 1.18685i | ||||
\(143\) | −0.337423 | + | 0.337423i | −0.0282167 | + | 0.0282167i | ||||
\(144\) | −14.1341 | + | 4.98841i | −1.17784 | + | 0.415700i | ||||
\(145\) | 8.68673 | − | 2.93140i | 0.721393 | − | 0.243439i | ||||
\(146\) | 5.30432 | + | 4.47300i | 0.438989 | + | 0.370188i | ||||
\(147\) | −5.42698 | + | 16.7025i | −0.447610 | + | 1.37760i | ||||
\(148\) | −1.95461 | + | 13.4309i | −0.160668 | + | 1.10401i | ||||
\(149\) | −4.72846 | + | 4.72846i | −0.387371 | + | 0.387371i | −0.873749 | − | 0.486378i | \(-0.838318\pi\) |
0.486378 | + | 0.873749i | \(0.338318\pi\) | |||||||
\(150\) | −16.7591 | + | 7.51589i | −1.36838 | + | 0.613670i | ||||
\(151\) | 9.91431 | 0.806815 | 0.403408 | − | 0.915020i | \(-0.367826\pi\) | ||||
0.403408 | + | 0.915020i | \(0.367826\pi\) | |||||||
\(152\) | 14.2955 | + | 8.39394i | 1.15952 | + | 0.680839i | ||||
\(153\) | −5.96363 | − | 11.7043i | −0.482131 | − | 0.946236i | ||||
\(154\) | −0.259838 | + | 0.0220929i | −0.0209384 | + | 0.00178029i | ||||
\(155\) | −13.8495 | + | 2.35424i | −1.11242 | + | 0.189097i | ||||
\(156\) | −2.90958 | + | 5.89221i | −0.232953 | + | 0.471755i | ||||
\(157\) | 14.5916i | 1.16453i | 0.812998 | + | 0.582267i | \(0.197834\pi\) | ||||
−0.812998 | + | 0.582267i | \(0.802166\pi\) | |||||||
\(158\) | 10.4104 | + | 12.0351i | 0.828206 | + | 0.957460i | ||||
\(159\) | −25.9684 | − | 18.8672i | −2.05943 | − | 1.49626i | ||||
\(160\) | −3.47529 | − | 12.1623i | −0.274746 | − | 0.961517i | ||||
\(161\) | 0.518045 | − | 0.376382i | 0.0408277 | − | 0.0296630i | ||||
\(162\) | 8.53901 | + | 1.99339i | 0.670888 | + | 0.156615i | ||||
\(163\) | −8.98986 | + | 12.3735i | −0.704140 | + | 0.969166i | 0.295763 | + | 0.955261i | \(0.404426\pi\) |
−0.999903 | + | 0.0139046i | \(0.995574\pi\) | |||||||
\(164\) | 1.96368 | + | 0.285776i | 0.153338 | + | 0.0223154i | ||||
\(165\) | 1.26779 | − | 1.78708i | 0.0986975 | − | 0.139124i | ||||
\(166\) | −2.65989 | + | 11.3941i | −0.206447 | + | 0.884351i | ||||
\(167\) | −11.0158 | − | 5.61282i | −0.852426 | − | 0.434333i | −0.0275326 | − | 0.999621i | \(-0.508765\pi\) |
−0.824894 | + | 0.565288i | \(0.808765\pi\) | |||||||
\(168\) | −3.29134 | + | 1.43657i | −0.253933 | + | 0.110833i | ||||
\(169\) | −3.52277 | − | 10.8420i | −0.270982 | − | 0.833998i | ||||
\(170\) | 10.1657 | − | 4.42170i | 0.779674 | − | 0.339129i | ||||
\(171\) | 9.97074 | + | 19.5687i | 0.762481 | + | 1.49645i | ||||
\(172\) | −1.99218 | − | 3.79136i | −0.151902 | − | 0.289089i | ||||
\(173\) | −14.7521 | + | 10.7180i | −1.12158 | + | 0.814878i | −0.984448 | − | 0.175674i | \(-0.943789\pi\) |
−0.137135 | + | 0.990552i | \(0.543789\pi\) | |||||||
\(174\) | −5.67622 | + | 13.9508i | −0.430313 | + | 1.05761i | ||||
\(175\) | −2.15201 | + | 1.15848i | −0.162676 | + | 0.0875726i | ||||
\(176\) | 1.09347 | + | 1.03985i | 0.0824233 | + | 0.0783820i | ||||
\(177\) | 3.22057 | − | 20.3339i | 0.242073 | − | 1.52839i | ||||
\(178\) | −0.348433 | − | 4.09798i | −0.0261162 | − | 0.307157i | ||||
\(179\) | 4.11604 | + | 8.07819i | 0.307647 | + | 0.603792i | 0.992126 | − | 0.125240i | \(-0.0399702\pi\) |
−0.684479 | + | 0.729033i | \(0.739970\pi\) | |||||||
\(180\) | 4.79670 | − | 16.0566i | 0.357525 | − | 1.19679i | ||||
\(181\) | −3.47425 | + | 6.81860i | −0.258239 | + | 0.506823i | −0.983330 | − | 0.181831i | \(-0.941798\pi\) |
0.725091 | + | 0.688653i | \(0.241798\pi\) | |||||||
\(182\) | −0.329544 | + | 0.809943i | −0.0244274 | + | 0.0600370i | ||||
\(183\) | 11.7739 | − | 23.1076i | 0.870352 | − | 1.70816i | ||||
\(184\) | −3.61857 | − | 0.796935i | −0.266764 | − | 0.0587508i | ||||
\(185\) | −10.8504 | − | 10.6080i | −0.797741 | − | 0.779916i | ||||
\(186\) | 11.9347 | − | 19.7532i | 0.875097 | − | 1.44837i | ||||
\(187\) | −0.777322 | + | 1.06989i | −0.0568434 | + | 0.0782383i | ||||
\(188\) | 11.0449 | + | 7.81449i | 0.805532 | + | 0.569930i | ||||
\(189\) | −0.936955 | − | 0.148399i | −0.0681535 | − | 0.0107944i | ||||
\(190\) | −16.9963 | + | 7.39274i | −1.23304 | + | 0.536326i | ||||
\(191\) | −2.52380 | + | 3.47371i | −0.182616 | + | 0.251349i | −0.890504 | − | 0.454976i | \(-0.849648\pi\) |
0.707888 | + | 0.706324i | \(0.249648\pi\) | |||||||
\(192\) | 18.8576 | + | 8.72965i | 1.36093 | + | 0.630008i | ||||
\(193\) | 16.7835 | + | 16.7835i | 1.20810 | + | 1.20810i | 0.971640 | + | 0.236464i | \(0.0759887\pi\) |
0.236464 | + | 0.971640i | \(0.424011\pi\) | |||||||
\(194\) | 22.8488 | + | 1.65389i | 1.64045 | + | 0.118742i | ||||
\(195\) | −3.40926 | − | 6.50821i | −0.244142 | − | 0.466062i | ||||
\(196\) | 11.9702 | − | 6.28980i | 0.855017 | − | 0.449272i | ||||
\(197\) | 5.38537 | − | 16.5745i | 0.383692 | − | 1.18088i | −0.553733 | − | 0.832694i | \(-0.686797\pi\) |
0.937425 | − | 0.348188i | \(-0.113203\pi\) | |||||||
\(198\) | 0.478882 | + | 1.94089i | 0.0340327 | + | 0.137933i | ||||
\(199\) | 8.88829i | 0.630074i | 0.949079 | + | 0.315037i | \(0.102017\pi\) | ||||
−0.949079 | + | 0.315037i | \(0.897983\pi\) | |||||||
\(200\) | 13.2786 | + | 4.86602i | 0.938941 | + | 0.344080i | ||||
\(201\) | 35.6203i | 2.51246i | ||||||||
\(202\) | 2.29170 | − | 0.565437i | 0.161243 | − | 0.0397840i | ||||
\(203\) | −0.619307 | + | 1.90603i | −0.0434668 | + | 0.133777i | ||||
\(204\) | −5.40973 | + | 17.3898i | −0.378757 | + | 1.21753i | ||||
\(205\) | −1.55096 | + | 1.58640i | −0.108323 | + | 0.110799i | ||||
\(206\) | −1.79530 | + | 24.8023i | −0.125084 | + | 1.72806i | ||||
\(207\) | −3.47106 | − | 3.47106i | −0.241255 | − | 0.241255i | ||||
\(208\) | 4.77132 | − | 1.68396i | 0.330832 | − | 0.116762i | ||||
\(209\) | 1.29962 | − | 1.78878i | 0.0898968 | − | 0.123732i | ||||
\(210\) | 0.868526 | − | 3.92001i | 0.0599340 | − | 0.270506i | ||||
\(211\) | −0.208281 | − | 0.0329884i | −0.0143386 | − | 0.00227102i | 0.149261 | − | 0.988798i | \(-0.452311\pi\) |
−0.163600 | + | 0.986527i | \(0.552311\pi\) | |||||||
\(212\) | 4.17262 | + | 24.3601i | 0.286577 | + | 1.67306i | ||||
\(213\) | −20.1885 | + | 27.7871i | −1.38329 | + | 1.90394i | ||||
\(214\) | −18.9953 | − | 11.4768i | −1.29849 | − | 0.784539i | ||||
\(215\) | 4.73763 | + | 0.695595i | 0.323104 | + | 0.0474392i | ||||
\(216\) | 2.95579 | + | 4.62545i | 0.201116 | + | 0.314722i | ||||
\(217\) | 1.39417 | − | 2.73622i | 0.0946426 | − | 0.185746i | ||||
\(218\) | 13.4400 | + | 5.46838i | 0.910272 | + | 0.370365i | ||||
\(219\) | 5.78577 | − | 11.3552i | 0.390966 | − | 0.767314i | ||||
\(220\) | −1.65953 | + | 0.303597i | −0.111886 | + | 0.0204685i | ||||
\(221\) | 2.01317 | + | 3.95107i | 0.135421 | + | 0.265778i | ||||
\(222\) | 24.8392 | − | 2.11196i | 1.66710 | − | 0.141746i | ||||
\(223\) | −3.17535 | + | 20.0484i | −0.212637 | + | 1.34254i | 0.618199 | + | 0.786021i | \(0.287862\pi\) |
−0.830836 | + | 0.556517i | \(0.812138\pi\) | |||||||
\(224\) | 2.58657 | + | 0.977408i | 0.172823 | + | 0.0653058i | ||||
\(225\) | 11.3522 | + | 14.9048i | 0.756816 | + | 0.993656i | ||||
\(226\) | 16.2175 | + | 6.59845i | 1.07877 | + | 0.438922i | ||||
\(227\) | −8.65355 | + | 6.28717i | −0.574356 | + | 0.417294i | −0.836685 | − | 0.547684i | \(-0.815509\pi\) |
0.262329 | + | 0.964979i | \(0.415509\pi\) | |||||||
\(228\) | 9.04464 | − | 29.0744i | 0.598996 | − | 1.92550i | ||||
\(229\) | 5.77824 | + | 11.3404i | 0.381837 | + | 0.749397i | 0.999308 | − | 0.0371968i | \(-0.0118428\pi\) |
−0.617471 | + | 0.786593i | \(0.711843\pi\) | |||||||
\(230\) | 3.10230 | − | 2.74538i | 0.204560 | − | 0.181025i | ||||
\(231\) | 0.148011 | + | 0.455532i | 0.00973843 | + | 0.0299718i | ||||
\(232\) | 10.6284 | − | 4.63897i | 0.697791 | − | 0.304563i | ||||
\(233\) | −14.1982 | − | 7.23433i | −0.930153 | − | 0.473937i | −0.0778382 | − | 0.996966i | \(-0.524802\pi\) |
−0.852315 | + | 0.523029i | \(0.824802\pi\) | |||||||
\(234\) | 6.52775 | + | 1.52387i | 0.426732 | + | 0.0996185i | ||||
\(235\) | −14.3327 | + | 4.83668i | −0.934963 | + | 0.315510i | ||||
\(236\) | −12.7061 | + | 9.47764i | −0.827094 | + | 0.616942i | ||||
\(237\) | 17.1796 | − | 23.6456i | 1.11593 | − | 1.53595i | ||||
\(238\) | −0.550902 | + | 2.35988i | −0.0357097 | + | 0.152968i | ||||
\(239\) | 6.53019 | − | 4.74446i | 0.422403 | − | 0.306894i | −0.356201 | − | 0.934409i | \(-0.615928\pi\) |
0.778604 | + | 0.627516i | \(0.215928\pi\) | |||||||
\(240\) | −20.3029 | + | 11.2944i | −1.31055 | + | 0.729051i | ||||
\(241\) | 7.63824 | + | 5.54951i | 0.492022 | + | 0.357475i | 0.805962 | − | 0.591968i | \(-0.201649\pi\) |
−0.313939 | + | 0.949443i | \(0.601649\pi\) | |||||||
\(242\) | −11.6132 | + | 10.0455i | −0.746527 | + | 0.645748i | ||||
\(243\) | − | 21.9277i | − | 1.40666i | ||||||
\(244\) | −18.9121 | + | 6.40868i | −1.21072 | + | 0.410274i | ||||
\(245\) | −2.19616 | + | 14.9579i | −0.140308 | + | 0.955622i | ||||
\(246\) | −0.308782 | − | 3.63164i | −0.0196872 | − | 0.231545i | ||||
\(247\) | −3.36587 | − | 6.60589i | −0.214165 | − | 0.420323i | ||||
\(248\) | −17.1975 | + | 4.47312i | −1.09204 | + | 0.284044i | ||||
\(249\) | 21.4905 | 1.36190 | ||||||||
\(250\) | −13.1387 | + | 8.79624i | −0.830966 | + | 0.556323i | ||||
\(251\) | −18.7722 | + | 18.7722i | −1.18489 | + | 1.18489i | −0.206431 | + | 0.978461i | \(0.566185\pi\) |
−0.978461 | + | 0.206431i | \(0.933815\pi\) | |||||||
\(252\) | 2.19025 | + | 2.93633i | 0.137973 | + | 0.184971i | ||||
\(253\) | −0.152714 | + | 0.470004i | −0.00960102 | + | 0.0295489i | ||||
\(254\) | 1.17342 | − | 1.39151i | 0.0736270 | − | 0.0873108i | ||||
\(255\) | −12.1535 | − | 16.3365i | −0.761082 | − | 1.02303i | ||||
\(256\) | −5.70240 | − | 14.9493i | −0.356400 | − | 0.934333i | ||||
\(257\) | −8.78764 | + | 8.78764i | −0.548158 | + | 0.548158i | −0.925908 | − | 0.377750i | \(-0.876698\pi\) |
0.377750 | + | 0.925908i | \(0.376698\pi\) | |||||||
\(258\) | −5.94954 | + | 5.14637i | −0.370402 | + | 0.320399i | ||||
\(259\) | 3.27627 | − | 0.518910i | 0.203577 | − | 0.0322435i | ||||
\(260\) | −1.61924 | + | 5.42029i | −0.100421 | + | 0.336152i | ||||
\(261\) | 15.1744 | + | 2.40338i | 0.939269 | + | 0.148766i | ||||
\(262\) | 6.17214 | + | 9.93144i | 0.381316 | + | 0.613567i | ||||
\(263\) | −0.535760 | − | 3.38265i | −0.0330364 | − | 0.208583i | 0.965649 | − | 0.259852i | \(-0.0836736\pi\) |
−0.998685 | + | 0.0512683i | \(0.983674\pi\) | |||||||
\(264\) | 1.40335 | − | 2.39001i | 0.0863700 | − | 0.147095i | ||||
\(265\) | −24.7605 | − | 12.2657i | −1.52102 | − | 0.753478i | ||||
\(266\) | 0.921065 | − | 3.94553i | 0.0564741 | − | 0.241916i | ||||
\(267\) | −7.18432 | + | 2.33433i | −0.439673 | + | 0.142859i | ||||
\(268\) | 19.1482 | − | 19.6354i | 1.16966 | − | 1.19942i | ||||
\(269\) | 2.35151 | − | 4.61510i | 0.143374 | − | 0.281387i | −0.808141 | − | 0.588989i | \(-0.799526\pi\) |
0.951515 | + | 0.307601i | \(0.0995263\pi\) | |||||||
\(270\) | −6.12573 | − | 0.373889i | −0.372800 | − | 0.0227542i | ||||
\(271\) | 22.1803 | + | 7.20683i | 1.34736 | + | 0.437784i | 0.891803 | − | 0.452423i | \(-0.149440\pi\) |
0.455556 | + | 0.890207i | \(0.349440\pi\) | |||||||
\(272\) | 12.3302 | − | 6.67795i | 0.747628 | − | 0.404910i | ||||
\(273\) | 1.58630 | + | 0.251244i | 0.0960069 | + | 0.0152060i | ||||
\(274\) | 1.50179 | + | 0.611039i | 0.0907266 | + | 0.0369142i | ||||
\(275\) | 0.818128 | − | 1.69954i | 0.0493350 | − | 0.102486i | ||||
\(276\) | 0.0854982 | + | 6.80506i | 0.00514639 | + | 0.409617i | ||||
\(277\) | −14.6689 | + | 10.6576i | −0.881368 | + | 0.640351i | −0.933613 | − | 0.358283i | \(-0.883362\pi\) |
0.0522452 | + | 0.998634i | \(0.483362\pi\) | |||||||
\(278\) | −8.55698 | + | 10.1473i | −0.513213 | + | 0.608596i | ||||
\(279\) | −22.3894 | − | 7.27477i | −1.34042 | − | 0.435529i | ||||
\(280\) | −2.58602 | + | 1.69399i | −0.154544 | + | 0.101235i | ||||
\(281\) | 8.11157 | − | 2.63561i | 0.483896 | − | 0.157227i | −0.0569021 | − | 0.998380i | \(-0.518122\pi\) |
0.540798 | + | 0.841152i | \(0.318122\pi\) | |||||||
\(282\) | 9.36552 | − | 23.0183i | 0.557708 | − | 1.37072i | ||||
\(283\) | −3.03408 | − | 9.33794i | −0.180357 | − | 0.555083i | 0.819480 | − | 0.573108i | \(-0.194262\pi\) |
−0.999838 | + | 0.0180245i | \(0.994262\pi\) | |||||||
\(284\) | 26.0661 | − | 4.46484i | 1.54674 | − | 0.264939i | ||||
\(285\) | 20.3197 | + | 27.3134i | 1.20364 | + | 1.61790i | ||||
\(286\) | −0.161658 | − | 0.655197i | −0.00955906 | − | 0.0387426i | ||||
\(287\) | −0.0758678 | − | 0.479011i | −0.00447834 | − | 0.0282751i | ||||
\(288\) | 4.29866 | − | 20.7566i | 0.253301 | − | 1.22309i | ||||
\(289\) | −2.76888 | − | 3.81103i | −0.162875 | − | 0.224178i | ||||
\(290\) | −2.80465 | + | 12.6585i | −0.164695 | + | 0.743335i | ||||
\(291\) | −6.58226 | − | 41.5588i | −0.385859 | − | 2.43622i | ||||
\(292\) | −9.29351 | + | 3.14926i | −0.543862 | + | 0.184297i | ||||
\(293\) | − | 10.5899i | − | 0.618668i | −0.950953 | − | 0.309334i | \(-0.899894\pi\) | ||
0.950953 | − | 0.309334i | \(-0.100106\pi\) | |||||||
\(294\) | −16.2483 | − | 18.7841i | −0.947622 | − | 1.09551i | ||||
\(295\) | −0.200224 | − | 17.7214i | −0.0116575 | − | 1.03178i | ||||
\(296\) | −14.8277 | − | 12.1884i | −0.861844 | − | 0.708438i | ||||
\(297\) | 0.652327 | − | 0.332377i | 0.0378518 | − | 0.0192865i | ||||
\(298\) | −2.26540 | − | 9.18158i | −0.131231 | − | 0.531875i | ||||
\(299\) | 1.17174 | + | 1.17174i | 0.0677636 | + | 0.0677636i | ||||
\(300\) | 3.15908 | − | 25.7825i | 0.182389 | − | 1.48855i | ||||
\(301\) | −0.740161 | + | 0.740161i | −0.0426622 | + | 0.0426622i | ||||
\(302\) | −7.25069 | + | 12.0006i | −0.417230 | + | 0.690557i | ||||
\(303\) | −1.96826 | − | 3.86292i | −0.113073 | − | 0.221919i | ||||
\(304\) | −20.6151 | + | 11.1650i | −1.18236 | + | 0.640357i | ||||
\(305\) | 6.65860 | − | 21.3093i | 0.381270 | − | 1.22017i | ||||
\(306\) | 18.5287 | + | 1.34118i | 1.05921 | + | 0.0766704i | ||||
\(307\) | −29.2728 | −1.67069 | −0.835344 | − | 0.549728i | \(-0.814732\pi\) | ||||
−0.835344 | + | 0.549728i | \(0.814732\pi\) | |||||||
\(308\) | 0.163287 | − | 0.330674i | 0.00930414 | − | 0.0188419i | ||||
\(309\) | 45.1120 | − | 7.14503i | 2.56633 | − | 0.406467i | ||||
\(310\) | 7.27901 | − | 18.4857i | 0.413420 | − | 1.04992i | ||||
\(311\) | 5.31717 | − | 3.86315i | 0.301509 | − | 0.219059i | −0.426736 | − | 0.904376i | \(-0.640337\pi\) |
0.728245 | + | 0.685317i | \(0.240337\pi\) | |||||||
\(312\) | −5.00425 | − | 7.83103i | −0.283310 | − | 0.443345i | ||||
\(313\) | 13.5769 | − | 2.15038i | 0.767414 | − | 0.121547i | 0.239560 | − | 0.970882i | \(-0.422997\pi\) |
0.527854 | + | 0.849335i | \(0.322997\pi\) | |||||||
\(314\) | −17.6621 | − | 10.6713i | −0.996731 | − | 0.602218i | ||||
\(315\) | −4.09535 | + | 0.0462711i | −0.230747 | + | 0.00260708i | ||||
\(316\) | −22.1812 | + | 3.79939i | −1.24779 | + | 0.213732i | ||||
\(317\) | 16.6118 | − | 5.39751i | 0.933014 | − | 0.303155i | 0.197219 | − | 0.980359i | \(-0.436809\pi\) |
0.735795 | + | 0.677205i | \(0.236809\pi\) | |||||||
\(318\) | 41.8291 | − | 17.6348i | 2.34566 | − | 0.988912i | ||||
\(319\) | −0.477959 | − | 1.47101i | −0.0267606 | − | 0.0823606i | ||||
\(320\) | 17.2633 | + | 4.68814i | 0.965048 | + | 0.262075i | ||||
\(321\) | −12.5964 | + | 38.7678i | −0.703063 | + | 2.16381i | ||||
\(322\) | 0.0767202 | + | 0.902320i | 0.00427545 | + | 0.0502843i | ||||
\(323\) | −12.0771 | − | 16.6227i | −0.671987 | − | 0.924911i | ||||
\(324\) | −8.65775 | + | 8.87807i | −0.480986 | + | 0.493226i | ||||
\(325\) | −3.83223 | − | 5.03150i | −0.212574 | − | 0.279097i | ||||
\(326\) | −8.40267 | − | 19.9308i | −0.465381 | − | 1.10386i | ||||
\(327\) | 4.16909 | − | 26.3226i | 0.230551 | − | 1.45564i | ||||
\(328\) | −1.78202 | + | 2.16790i | −0.0983957 | + | 0.119703i | ||||
\(329\) | 1.02183 | − | 3.14487i | 0.0563352 | − | 0.173382i | ||||
\(330\) | 1.23596 | + | 2.84153i | 0.0680374 | + | 0.156421i | ||||
\(331\) | −6.79093 | − | 3.46015i | −0.373263 | − | 0.190187i | 0.257288 | − | 0.966335i | \(-0.417171\pi\) |
−0.630551 | + | 0.776148i | \(0.717171\pi\) | |||||||
\(332\) | −11.8465 | − | 11.5525i | −0.650160 | − | 0.634026i | ||||
\(333\) | −7.85795 | − | 24.1843i | −0.430613 | − | 1.32529i | ||||
\(334\) | 14.8502 | − | 9.22901i | 0.812565 | − | 0.504989i | ||||
\(335\) | 5.13869 | + | 30.2299i | 0.280757 | + | 1.65164i | ||||
\(336\) | 0.668209 | − | 5.03456i | 0.0364538 | − | 0.274658i | ||||
\(337\) | −19.4511 | + | 3.08075i | −1.05957 | + | 0.167819i | −0.661810 | − | 0.749672i | \(-0.730211\pi\) |
−0.397758 | + | 0.917491i | \(0.630211\pi\) | |||||||
\(338\) | 15.6998 | + | 3.66504i | 0.853957 | + | 0.199352i | ||||
\(339\) | 5.03066 | − | 31.7623i | 0.273228 | − | 1.72509i | ||||
\(340\) | −2.08237 | + | 15.5387i | −0.112932 | + | 0.842702i | ||||
\(341\) | 0.370755 | + | 2.34086i | 0.0200775 | + | 0.126764i | ||||
\(342\) | −30.9785 | − | 2.24236i | −1.67513 | − | 0.121253i | ||||
\(343\) | −4.75632 | − | 4.75632i | −0.256817 | − | 0.256817i | ||||
\(344\) | 6.04614 | + | 0.361353i | 0.325986 | + | 0.0194829i | ||||
\(345\) | −6.20586 | − | 4.40256i | −0.334112 | − | 0.237026i | ||||
\(346\) | −2.18472 | − | 25.6949i | −0.117452 | − | 1.38137i | ||||
\(347\) | −17.6274 | − | 5.72750i | −0.946291 | − | 0.307468i | −0.205083 | − | 0.978745i | \(-0.565747\pi\) |
−0.741207 | + | 0.671276i | \(0.765747\pi\) | |||||||
\(348\) | −12.7353 | − | 17.0734i | −0.682685 | − | 0.915232i | ||||
\(349\) | 25.5662 | + | 25.5662i | 1.36853 | + | 1.36853i | 0.862542 | + | 0.505985i | \(0.168871\pi\) |
0.505985 | + | 0.862542i | \(0.331129\pi\) | |||||||
\(350\) | 0.171580 | − | 3.45209i | 0.00917133 | − | 0.184522i | ||||
\(351\) | − | 2.45491i | − | 0.131034i | ||||||
\(352\) | −2.05837 | + | 0.563088i | −0.109711 | + | 0.0300127i | ||||
\(353\) | −8.85352 | + | 4.51110i | −0.471226 | + | 0.240101i | −0.673443 | − | 0.739239i | \(-0.735185\pi\) |
0.202217 | + | 0.979341i | \(0.435185\pi\) | |||||||
\(354\) | 22.2575 | + | 18.7692i | 1.18297 | + | 0.997570i | ||||
\(355\) | −13.1247 | + | 26.4945i | −0.696589 | + | 1.40618i | ||||
\(356\) | 5.21516 | + | 2.57525i | 0.276403 | + | 0.136488i | ||||
\(357\) | 4.45100 | 0.235572 | ||||||||
\(358\) | −12.7883 | − | 0.925672i | −0.675884 | − | 0.0489233i | ||||
\(359\) | −12.1837 | + | 16.7694i | −0.643030 | + | 0.885055i | −0.998773 | − | 0.0495290i | \(-0.984228\pi\) |
0.355743 | + | 0.934584i | \(0.384228\pi\) | |||||||
\(360\) | 15.9274 | + | 17.5488i | 0.839449 | + | 0.924905i | ||||
\(361\) | 9.02404 | + | 12.4205i | 0.474949 | + | 0.653712i | ||||
\(362\) | −5.71262 | − | 9.19203i | −0.300249 | − | 0.483123i | ||||
\(363\) | 22.8168 | + | 16.5774i | 1.19757 | + | 0.870087i | ||||
\(364\) | −0.739374 | − | 0.991231i | −0.0387537 | − | 0.0519546i | ||||
\(365\) | 3.27208 | − | 10.4715i | 0.171268 | − | 0.548104i | ||||
\(366\) | 19.3595 | + | 31.1509i | 1.01194 | + | 1.62829i | ||||
\(367\) | 4.44514 | − | 8.72408i | 0.232035 | − | 0.455393i | −0.745404 | − | 0.666613i | \(-0.767743\pi\) |
0.977439 | + | 0.211219i | \(0.0677435\pi\) | |||||||
\(368\) | 3.61102 | − | 3.79720i | 0.188238 | − | 0.197943i | ||||
\(369\) | −3.53589 | + | 1.14888i | −0.184071 | + | 0.0598083i | ||||
\(370\) | 20.7756 | − | 5.37573i | 1.08007 | − | 0.279471i | ||||
\(371\) | 5.38199 | − | 2.74226i | 0.279419 | − | 0.142371i | ||||
\(372\) | 15.1816 | + | 28.8924i | 0.787129 | + | 1.49800i | ||||
\(373\) | 18.5155 | + | 25.4843i | 0.958694 | + | 1.31953i | 0.947556 | + | 0.319591i | \(0.103545\pi\) |
0.0111382 | + | 0.999938i | \(0.496455\pi\) | |||||||
\(374\) | −0.726550 | − | 1.72335i | −0.0375690 | − | 0.0891122i | ||||
\(375\) | 21.2193 | + | 19.8276i | 1.09576 | + | 1.02389i | ||||
\(376\) | −17.5365 | + | 7.65410i | −0.904373 | + | 0.394730i | ||||
\(377\) | −5.12248 | − | 0.811321i | −0.263821 | − | 0.0417852i | ||||
\(378\) | 0.864856 | − | 1.02559i | 0.0444834 | − | 0.0527508i | ||||
\(379\) | 2.53253 | − | 1.29039i | 0.130087 | − | 0.0662828i | −0.387736 | − | 0.921771i | \(-0.626743\pi\) |
0.517823 | + | 0.855488i | \(0.326743\pi\) | |||||||
\(380\) | 3.48156 | − | 25.9794i | 0.178600 | − | 1.33272i | ||||
\(381\) | −2.97886 | − | 1.51780i | −0.152612 | − | 0.0777595i | ||||
\(382\) | −2.35895 | − | 5.59533i | −0.120694 | − | 0.286282i | ||||
\(383\) | 14.2185 | + | 7.24468i | 0.726530 | + | 0.370186i | 0.777811 | − | 0.628499i | \(-0.216330\pi\) |
−0.0512804 | + | 0.998684i | \(0.516330\pi\) | |||||||
\(384\) | −24.3579 | + | 16.4416i | −1.24301 | + | 0.839032i | ||||
\(385\) | 0.191329 | + | 0.365244i | 0.00975104 | + | 0.0186146i | ||||
\(386\) | −32.5897 | + | 8.04095i | −1.65877 | + | 0.409273i | ||||
\(387\) | 6.49181 | + | 4.71658i | 0.329997 | + | 0.239757i | ||||
\(388\) | −18.7120 | + | 26.4474i | −0.949960 | + | 1.34266i | ||||
\(389\) | −2.71215 | + | 17.1239i | −0.137512 | + | 0.868214i | 0.818419 | + | 0.574622i | \(0.194851\pi\) |
−0.955931 | + | 0.293592i | \(0.905149\pi\) | |||||||
\(390\) | 10.3711 | + | 0.633006i | 0.525159 | + | 0.0320535i | ||||
\(391\) | 3.71533 | + | 2.69935i | 0.187892 | + | 0.136512i | ||||
\(392\) | −1.14088 | + | 19.0891i | −0.0576232 | + | 0.964147i | ||||
\(393\) | 15.1866 | − | 15.1866i | 0.766062 | − | 0.766062i | ||||
\(394\) | 16.1238 | + | 18.6401i | 0.812304 | + | 0.939076i | ||||
\(395\) | 11.1686 | − | 22.5457i | 0.561953 | − | 1.13440i | ||||
\(396\) | −2.69955 | − | 0.839791i | −0.135657 | − | 0.0422011i | ||||
\(397\) | −5.66448 | − | 1.84050i | −0.284292 | − | 0.0923722i | 0.163400 | − | 0.986560i | \(-0.447754\pi\) |
−0.447692 | + | 0.894188i | \(0.647754\pi\) | |||||||
\(398\) | −10.7587 | − | 6.50032i | −0.539284 | − | 0.325832i | ||||
\(399\) | −7.44172 | −0.372552 | ||||||||
\(400\) | −15.6011 | + | 12.5142i | −0.780056 | + | 0.625710i | ||||
\(401\) | 37.8338 | 1.88933 | 0.944665 | − | 0.328038i | \(-0.106387\pi\) | ||||
0.944665 | + | 0.328038i | \(0.106387\pi\) | |||||||
\(402\) | −43.1160 | − | 26.0504i | −2.15043 | − | 1.29927i | ||||
\(403\) | 7.55810 | + | 2.45578i | 0.376496 | + | 0.122331i | ||||
\(404\) | −0.991578 | + | 3.18747i | −0.0493328 | + | 0.158583i | ||||
\(405\) | −2.32343 | − | 13.6683i | −0.115452 | − | 0.679183i | ||||
\(406\) | −1.85420 | − | 2.14358i | −0.0920224 | − | 0.106384i | ||||
\(407\) | −1.81021 | + | 1.81021i | −0.0897290 | + | 0.0897290i | ||||
\(408\) | −17.0929 | − | 19.2659i | −0.846224 | − | 0.953804i | ||||
\(409\) | 25.5024 | + | 18.5286i | 1.26101 | + | 0.916180i | 0.998807 | − | 0.0488322i | \(-0.0155500\pi\) |
0.262206 | + | 0.965012i | \(0.415550\pi\) | |||||||
\(410\) | −0.785965 | − | 3.03752i | −0.0388161 | − | 0.150012i | ||||
\(411\) | 0.465856 | − | 2.94130i | 0.0229790 | − | 0.145084i | ||||
\(412\) | −28.7086 | − | 20.3119i | −1.41437 | − | 1.00070i | ||||
\(413\) | 3.13423 | + | 2.27715i | 0.154226 | + | 0.112051i | ||||
\(414\) | 6.73999 | − | 1.66298i | 0.331253 | − | 0.0817308i | ||||
\(415\) | 18.2384 | − | 3.10028i | 0.895286 | − | 0.152187i | ||||
\(416\) | −1.45112 | + | 7.00691i | −0.0711469 | + | 0.343542i | ||||
\(417\) | 21.7228 | + | 11.0683i | 1.06377 | + | 0.542019i | ||||
\(418\) | 1.21474 | + | 2.88130i | 0.0594146 | + | 0.140929i | ||||
\(419\) | 16.5406 | + | 8.42786i | 0.808062 | + | 0.411728i | 0.808663 | − | 0.588272i | \(-0.200191\pi\) |
−0.000601590 | 1.00000i | \(0.500191\pi\) | ||||||||
\(420\) | 4.10973 | + | 3.91814i | 0.200534 | + | 0.191185i | ||||
\(421\) | 0.872730 | − | 0.444678i | 0.0425343 | − | 0.0216723i | −0.432594 | − | 0.901589i | \(-0.642402\pi\) |
0.475128 | + | 0.879917i | \(0.342402\pi\) | |||||||
\(422\) | 0.192253 | − | 0.227984i | 0.00935875 | − | 0.0110981i | ||||
\(423\) | −25.0370 | − | 3.96548i | −1.21734 | − | 0.192808i | ||||
\(424\) | −32.5378 | − | 12.7647i | −1.58018 | − | 0.619909i | ||||
\(425\) | −12.6711 | − | 12.1110i | −0.614637 | − | 0.587470i | ||||
\(426\) | −18.8698 | − | 44.7585i | −0.914247 | − | 2.16856i | ||||
\(427\) | 2.86857 | + | 3.94825i | 0.138820 | + | 0.191069i | ||||
\(428\) | 27.7838 | − | 14.5991i | 1.34298 | − | 0.705674i | ||||
\(429\) | −1.10441 | + | 0.562725i | −0.0533214 | + | 0.0271686i | ||||
\(430\) | −4.30677 | + | 5.22587i | −0.207691 | + | 0.252014i | ||||
\(431\) | 0.685603 | − | 0.222766i | 0.0330243 | − | 0.0107303i | −0.292458 | − | 0.956278i | \(-0.594473\pi\) |
0.325483 | + | 0.945548i | \(0.394473\pi\) | |||||||
\(432\) | −7.76048 | + | 0.195035i | −0.373376 | + | 0.00938361i | ||||
\(433\) | 8.32242 | − | 16.3337i | 0.399950 | − | 0.784946i | −0.599936 | − | 0.800048i | \(-0.704807\pi\) |
0.999886 | + | 0.0151018i | \(0.00480722\pi\) | |||||||
\(434\) | 2.29240 | + | 3.68864i | 0.110039 | + | 0.177061i | ||||
\(435\) | 23.8126 | − | 0.269046i | 1.14173 | − | 0.0128997i | ||||
\(436\) | −16.4483 | + | 12.2690i | −0.787729 | + | 0.587579i | ||||
\(437\) | −6.21175 | − | 4.51310i | −0.297148 | − | 0.215891i | ||||
\(438\) | 9.51339 | + | 15.3078i | 0.454567 | + | 0.731433i | ||||
\(439\) | −5.13354 | − | 7.06571i | −0.245011 | − | 0.337228i | 0.668745 | − | 0.743491i | \(-0.266832\pi\) |
−0.913756 | + | 0.406263i | \(0.866832\pi\) | |||||||
\(440\) | 0.846190 | − | 2.23078i | 0.0403405 | − | 0.106348i | ||||
\(441\) | −14.8914 | + | 20.4962i | −0.709113 | + | 0.976011i | ||||
\(442\) | −6.25481 | − | 0.452750i | −0.297511 | − | 0.0215351i | ||||
\(443\) | 16.3129 | 0.775048 | 0.387524 | − | 0.921860i | \(-0.373330\pi\) | ||||
0.387524 | + | 0.921860i | \(0.373330\pi\) | |||||||
\(444\) | −15.6094 | + | 31.6107i | −0.740788 | + | 1.50018i | ||||
\(445\) | −5.76037 | + | 3.01751i | −0.273068 | + | 0.143044i | ||||
\(446\) | −21.9450 | − | 18.5056i | −1.03912 | − | 0.876267i | ||||
\(447\) | −15.4766 | + | 7.88573i | −0.732019 | + | 0.372982i | ||||
\(448\) | −3.07474 | + | 2.41606i | −0.145268 | + | 0.114148i | ||||
\(449\) | − | 20.2996i | − | 0.958000i | −0.877815 | − | 0.479000i | \(-0.840999\pi\) | ||
0.877815 | − | 0.479000i | \(-0.159001\pi\) | |||||||
\(450\) | −26.3436 | + | 2.84070i | −1.24185 | + | 0.133912i | ||||
\(451\) | 0.264664 | + | 0.264664i | 0.0124626 | + | 0.0124626i | ||||
\(452\) | −19.8474 | + | 14.8045i | −0.933542 | + | 0.696343i | ||||
\(453\) | 24.4923 | + | 7.95802i | 1.15075 | + | 0.373900i | ||||
\(454\) | −1.28155 | − | 15.0726i | −0.0601462 | − | 0.707391i | ||||
\(455\) | 1.38249 | − | 0.0156200i | 0.0648120 | − | 0.000732275i | ||||
\(456\) | 28.5780 | + | 32.2111i | 1.33829 | + | 1.50842i | ||||
\(457\) | 27.6994 | + | 27.6994i | 1.29572 | + | 1.29572i | 0.931191 | + | 0.364532i | \(0.118771\pi\) |
0.364532 | + | 0.931191i | \(0.381229\pi\) | |||||||
\(458\) | −17.9527 | − | 1.29949i | −0.838873 | − | 0.0607211i | ||||
\(459\) | −1.06429 | − | 6.71969i | −0.0496770 | − | 0.313648i | ||||
\(460\) | 1.05428 | + | 5.76292i | 0.0491560 | + | 0.268698i | ||||
\(461\) | −1.01213 | + | 6.39032i | −0.0471394 | + | 0.297627i | −0.999983 | − | 0.00583528i | \(-0.998143\pi\) |
0.952844 | + | 0.303462i | \(0.0981426\pi\) | |||||||
\(462\) | −0.659637 | − | 0.153989i | −0.0306891 | − | 0.00716421i | ||||
\(463\) | 40.9222 | − | 6.48143i | 1.90181 | − | 0.301218i | 0.908614 | − | 0.417637i | \(-0.137142\pi\) |
0.993200 | + | 0.116419i | \(0.0371416\pi\) | |||||||
\(464\) | −2.15779 | + | 16.2577i | −0.100173 | + | 0.754743i | ||||
\(465\) | −36.1035 | − | 5.30084i | −1.67426 | − | 0.245821i | ||||
\(466\) | 19.1403 | − | 11.8952i | 0.886657 | − | 0.551035i | ||||
\(467\) | −0.908061 | − | 2.79472i | −0.0420200 | − | 0.129324i | 0.927846 | − | 0.372964i | \(-0.121659\pi\) |
−0.969866 | + | 0.243640i | \(0.921659\pi\) | |||||||
\(468\) | −6.61852 | + | 6.78694i | −0.305941 | + | 0.313727i | ||||
\(469\) | −5.97244 | − | 3.04311i | −0.275782 | − | 0.140518i | ||||
\(470\) | 4.62755 | − | 20.8860i | 0.213453 | − | 0.963401i | ||||
\(471\) | −11.7124 | + | 36.0469i | −0.539677 | + | 1.66095i | ||||
\(472\) | −2.17966 | − | 22.3112i | −0.100327 | − | 1.02696i | ||||
\(473\) | 0.126374 | − | 0.797896i | 0.00581070 | − | 0.0366873i | ||||
\(474\) | 16.0574 | + | 38.0876i | 0.737543 | + | 1.74942i | ||||
\(475\) | 21.1851 | + | 20.2487i | 0.972037 | + | 0.929073i | ||||
\(476\) | −2.45358 | − | 2.39269i | −0.112460 | − | 0.109669i | ||||
\(477\) | −27.2174 | − | 37.4616i | −1.24620 | − | 1.71525i | ||||
\(478\) | 0.967092 | + | 11.3741i | 0.0442338 | + | 0.520241i | ||||
\(479\) | 2.21970 | − | 6.83152i | 0.101421 | − | 0.312140i | −0.887453 | − | 0.460898i | \(-0.847527\pi\) |
0.988874 | + | 0.148758i | \(0.0475274\pi\) | |||||||
\(480\) | 1.17712 | − | 32.8353i | 0.0537277 | − | 1.49872i | ||||
\(481\) | 2.65264 | + | 8.16400i | 0.120950 | + | 0.372246i | ||||
\(482\) | −12.3034 | + | 5.18703i | −0.560406 | + | 0.236263i | ||||
\(483\) | 1.58189 | − | 0.513987i | 0.0719785 | − | 0.0233872i | ||||
\(484\) | −3.66622 | − | 21.4037i | −0.166646 | − | 0.972893i | ||||
\(485\) | −11.5816 | − | 34.3201i | −0.525892 | − | 1.55840i | ||||
\(486\) | 26.5421 | + | 16.0365i | 1.20397 | + | 0.727432i | ||||
\(487\) | 10.8369 | − | 1.71639i | 0.491066 | − | 0.0777772i | 0.0940092 | − | 0.995571i | \(-0.470032\pi\) |
0.397057 | + | 0.917794i | \(0.370032\pi\) | |||||||
\(488\) | 6.07380 | − | 27.5787i | 0.274948 | − | 1.24843i | ||||
\(489\) | −32.1405 | + | 23.3514i | −1.45344 | + | 1.05599i | ||||
\(490\) | −16.4993 | − | 13.5975i | −0.745365 | − | 0.614273i | ||||
\(491\) | 4.81480 | − | 0.762590i | 0.217289 | − | 0.0344152i | −0.0468407 | − | 0.998902i | \(-0.514915\pi\) |
0.264130 | + | 0.964487i | \(0.414915\pi\) | |||||||
\(492\) | 4.62168 | + | 2.28219i | 0.208361 | + | 0.102889i | ||||
\(493\) | −14.3732 | −0.647336 | ||||||||
\(494\) | 10.4576 | + | 0.756963i | 0.470508 | + | 0.0340574i | ||||
\(495\) | 2.53603 | − | 1.88668i | 0.113986 | − | 0.0847997i | ||||
\(496\) | 7.16274 | − | 24.0878i | 0.321617 | − | 1.08157i | ||||
\(497\) | −2.93431 | − | 5.75890i | −0.131622 | − | 0.258322i | ||||
\(498\) | −15.7168 | + | 26.0128i | −0.704285 | + | 1.16566i | ||||
\(499\) | −21.3563 | + | 21.3563i | −0.956039 | + | 0.956039i | −0.999074 | − | 0.0430348i | \(-0.986297\pi\) |
0.0430348 | + | 0.999074i | \(0.486297\pi\) | |||||||
\(500\) | −1.03844 | − | 22.3366i | −0.0464404 | − | 0.998921i | ||||
\(501\) | −22.7080 | − | 22.7080i | −1.01452 | − | 1.01452i | ||||
\(502\) | −8.99373 | − | 36.4513i | −0.401410 | − | 1.62690i | ||||
\(503\) | −29.2598 | + | 14.9086i | −1.30463 | + | 0.664742i | −0.961567 | − | 0.274571i | \(-0.911464\pi\) |
−0.343062 | + | 0.939313i | \(0.611464\pi\) | |||||||
\(504\) | −5.15604 | + | 0.503713i | −0.229668 | + | 0.0224372i | ||||
\(505\) | −2.22768 | − | 2.99440i | −0.0991305 | − | 0.133249i | ||||
\(506\) | −0.457224 | − | 0.528580i | −0.0203261 | − | 0.0234983i | ||||
\(507\) | − | 29.6116i | − | 1.31510i | ||||||
\(508\) | 0.826159 | + | 2.43801i | 0.0366549 | + | 0.108169i | ||||
\(509\) | −0.490937 | − | 3.09965i | −0.0217604 | − | 0.137390i | 0.974416 | − | 0.224750i | \(-0.0721567\pi\) |
−0.996177 | + | 0.0873608i | \(0.972157\pi\) | |||||||
\(510\) | 28.6625 | − | 2.76354i | 1.26920 | − | 0.122372i | ||||
\(511\) | 1.40963 | + | 1.94020i | 0.0623586 | + | 0.0858292i | ||||
\(512\) | 22.2655 | + | 4.03060i | 0.984007 | + | 0.178129i | ||||
\(513\) | 1.77942 | + | 11.2348i | 0.0785632 | + | 0.496028i | ||||
\(514\) | −4.21014 | − | 17.0636i | −0.185701 | − | 0.752641i | ||||
\(515\) | 37.2545 | − | 12.5718i | 1.64163 | − | 0.553979i | ||||
\(516\) | −1.87823 | − | 10.9652i | −0.0826844 | − | 0.482718i | ||||
\(517\) | 0.788612 | + | 2.42710i | 0.0346831 | + | 0.106744i | ||||
\(518\) | −1.76795 | + | 4.34520i | −0.0776791 | + | 0.190917i | ||||
\(519\) | −45.0467 | + | 14.6366i | −1.97733 | + | 0.642474i | ||||
\(520\) | −5.37669 | − | 5.92404i | −0.235784 | − | 0.259786i | ||||
\(521\) | −22.4649 | − | 7.29928i | −0.984204 | − | 0.319787i | −0.227668 | − | 0.973739i | \(-0.573110\pi\) |
−0.756537 | + | 0.653951i | \(0.773110\pi\) | |||||||
\(522\) | −14.0067 | + | 16.6099i | −0.613056 | + | 0.726994i | ||||
\(523\) | 29.4810 | − | 21.4192i | 1.28911 | − | 0.936596i | 0.289326 | − | 0.957231i | \(-0.406569\pi\) |
0.999787 | + | 0.0206350i | \(0.00656879\pi\) | |||||||
\(524\) | −16.5353 | + | 0.207747i | −0.722346 | + | 0.00907549i | ||||
\(525\) | −6.24619 | + | 1.13452i | −0.272606 | + | 0.0495146i | ||||
\(526\) | 4.48630 | + | 1.82535i | 0.195612 | + | 0.0795892i | ||||
\(527\) | 21.7530 | + | 3.44534i | 0.947577 | + | 0.150081i | ||||
\(528\) | 1.86663 | + | 3.44656i | 0.0812346 | + | 0.149992i | ||||
\(529\) | −20.2422 | − | 6.57707i | −0.880094 | − | 0.285960i | ||||
\(530\) | 32.9551 | − | 21.0006i | 1.43148 | − | 0.912206i | ||||
\(531\) | 13.4830 | − | 26.4619i | 0.585114 | − | 1.14835i | ||||
\(532\) | 4.10220 | + | 4.00040i | 0.177853 | + | 0.173439i | ||||
\(533\) | 1.19363 | − | 0.387833i | 0.0517017 | − | 0.0167989i | ||||
\(534\) | 2.42860 | − | 10.4033i | 0.105096 | − | 0.450196i | ||||
\(535\) | −5.09745 | + | 34.7183i | −0.220382 | + | 1.50100i | ||||
\(536\) | 9.76365 | + | 37.5377i | 0.421725 | + | 1.62138i | ||||
\(537\) | 3.68405 | + | 23.2602i | 0.158979 | + | 1.00375i | ||||
\(538\) | 3.86652 | + | 6.22153i | 0.166698 | + | 0.268229i | ||||
\(539\) | 2.51915 | + | 0.398994i | 0.108508 | + | 0.0171859i | ||||
\(540\) | 4.93253 | − | 7.14135i | 0.212262 | − | 0.307315i | ||||
\(541\) | 11.5353 | − | 1.82701i | 0.495941 | − | 0.0785493i | 0.0965463 | − | 0.995328i | \(-0.469220\pi\) |
0.399394 | + | 0.916779i | \(0.369220\pi\) | |||||||
\(542\) | −24.9447 | + | 21.5772i | −1.07146 | + | 0.926820i | ||||
\(543\) | −14.0559 | + | 14.0559i | −0.603198 | + | 0.603198i | ||||
\(544\) | −0.934310 | + | 19.8087i | −0.0400582 | + | 0.849291i | ||||
\(545\) | −0.259194 | − | 22.9407i | −0.0111027 | − | 0.982671i | ||||
\(546\) | −1.46423 | + | 1.73636i | −0.0626632 | + | 0.0743093i | ||||
\(547\) | −6.47182 | + | 19.9182i | −0.276715 | + | 0.851642i | 0.712045 | + | 0.702133i | \(0.247769\pi\) |
−0.988760 | + | 0.149508i | \(0.952231\pi\) | |||||||
\(548\) | −1.83794 | + | 1.37094i | −0.0785127 | + | 0.0585639i | ||||
\(549\) | 26.4545 | − | 26.4545i | 1.12905 | − | 1.12905i | ||||
\(550\) | 1.45885 | + | 2.23322i | 0.0622057 | + | 0.0952250i | ||||
\(551\) | 24.0309 | 1.02375 | ||||||||
\(552\) | −8.29960 | − | 4.87329i | −0.353254 | − | 0.207421i | ||||
\(553\) | 2.49697 | + | 4.90058i | 0.106182 | + | 0.208394i | ||||
\(554\) | −2.17240 | − | 25.5500i | −0.0922963 | − | 1.08551i | ||||
\(555\) | −18.2901 | − | 34.9154i | −0.776370 | − | 1.48208i | ||||
\(556\) | −6.02463 | − | 17.7787i | −0.255501 | − | 0.753987i | ||||
\(557\) | 22.1033i | 0.936548i | 0.883583 | + | 0.468274i | \(0.155124\pi\) | ||||
−0.883583 | + | 0.468274i | \(0.844876\pi\) | |||||||
\(558\) | 25.1798 | − | 21.7806i | 1.06595 | − | 0.922047i | ||||
\(559\) | −2.19147 | − | 1.59220i | −0.0926894 | − | 0.0673428i | ||||
\(560\) | −0.159212 | − | 4.36908i | −0.00672793 | − | 0.184627i | ||||
\(561\) | −2.77907 | + | 2.01912i | −0.117333 | + | 0.0852471i | ||||
\(562\) | −2.74205 | + | 11.7460i | −0.115667 | + | 0.495477i | ||||
\(563\) | −3.03000 | + | 4.17044i | −0.127699 | + | 0.175763i | −0.868079 | − | 0.496425i | \(-0.834646\pi\) |
0.740380 | + | 0.672189i | \(0.234646\pi\) | |||||||
\(564\) | 21.0127 | + | 28.1704i | 0.884796 | + | 1.18619i | ||||
\(565\) | −0.312758 | − | 27.6815i | −0.0131578 | − | 1.16457i | ||||
\(566\) | 13.5219 | + | 3.15662i | 0.568367 | + | 0.132683i | ||||
\(567\) | 2.70041 | + | 1.37593i | 0.113407 | + | 0.0577835i | ||||
\(568\) | −13.6587 | + | 34.8166i | −0.573105 | + | 1.46087i | ||||
\(569\) | −5.87994 | − | 18.0966i | −0.246500 | − | 0.758649i | −0.995386 | − | 0.0959503i | \(-0.969411\pi\) |
0.748886 | − | 0.662699i | \(-0.230589\pi\) | |||||||
\(570\) | −47.9215 | + | 4.62043i | −2.00721 | + | 0.193528i | ||||
\(571\) | −17.8623 | − | 35.0568i | −0.747515 | − | 1.46708i | −0.879535 | − | 0.475834i | \(-0.842146\pi\) |
0.132020 | − | 0.991247i | \(-0.457854\pi\) | |||||||
\(572\) | 0.911299 | + | 0.283492i | 0.0381033 | + | 0.0118534i | ||||
\(573\) | −9.02305 | + | 6.55563i | −0.376943 | + | 0.273865i | ||||
\(574\) | 0.635295 | + | 0.258485i | 0.0265167 | + | 0.0107889i | ||||
\(575\) | −5.90186 | − | 2.84105i | −0.246125 | − | 0.118480i | ||||
\(576\) | 21.9807 | + | 20.3833i | 0.915864 | + | 0.849303i | ||||
\(577\) | −5.70637 | + | 36.0286i | −0.237559 | + | 1.49989i | 0.523957 | + | 0.851745i | \(0.324455\pi\) |
−0.761517 | + | 0.648146i | \(0.775545\pi\) | |||||||
\(578\) | 6.63798 | − | 0.564397i | 0.276104 | − | 0.0234758i | ||||
\(579\) | 27.9901 | + | 54.9337i | 1.16323 | + | 2.28297i | ||||
\(580\) | −13.2712 | − | 12.6525i | −0.551055 | − | 0.525366i | ||||
\(581\) | −1.83597 | + | 3.60330i | −0.0761691 | + | 0.149490i | ||||
\(582\) | 55.1179 | + | 22.4260i | 2.28471 | + | 0.929588i | ||||
\(583\) | −2.11638 | + | 4.15363i | −0.0876515 | + | 0.172026i | ||||
\(584\) | 2.98470 | − | 13.5523i | 0.123508 | − | 0.560800i | ||||
\(585\) | −1.77618 | − | 10.4489i | −0.0734359 | − | 0.432009i | ||||
\(586\) | 12.8184 | + | 7.74476i | 0.529521 | + | 0.319933i | ||||
\(587\) | −11.9798 | + | 16.4888i | −0.494460 | + | 0.680566i | −0.981203 | − | 0.192980i | \(-0.938185\pi\) |
0.486743 | + | 0.873545i | \(0.338185\pi\) | |||||||
\(588\) | 34.6199 | − | 5.93002i | 1.42770 | − | 0.244550i | ||||
\(589\) | −36.3694 | − | 5.76034i | −1.49857 | − | 0.237351i | ||||
\(590\) | 21.5970 | + | 12.7179i | 0.889133 | + | 0.523588i | ||||
\(591\) | 26.6080 | − | 36.6227i | 1.09451 | − | 1.50646i | ||||
\(592\) | 25.5973 | − | 9.03415i | 1.05204 | − | 0.371301i | ||||
\(593\) | 11.9791 | + | 11.9791i | 0.491924 | + | 0.491924i | 0.908912 | − | 0.416988i | \(-0.136914\pi\) |
−0.416988 | + | 0.908912i | \(0.636914\pi\) | |||||||
\(594\) | −0.0747495 | + | 1.03268i | −0.00306701 | + | 0.0423712i | ||||
\(595\) | 3.77743 | − | 0.642114i | 0.154860 | − | 0.0263241i | ||||
\(596\) | 12.7705 | + | 3.97271i | 0.523098 | + | 0.162728i | ||||
\(597\) | −7.13445 | + | 21.9576i | −0.291994 | + | 0.898664i | ||||
\(598\) | −2.27525 | + | 0.561379i | −0.0930419 | + | 0.0229565i | ||||
\(599\) | 42.5049i | 1.73670i | 0.495948 | + | 0.868352i | \(0.334821\pi\) | ||||
−0.495948 | + | 0.868352i | \(0.665179\pi\) | |||||||
\(600\) | 28.8976 | + | 22.6795i | 1.17974 | + | 0.925886i | ||||
\(601\) | − | 14.9268i | − | 0.608877i | −0.952532 | − | 0.304438i | \(-0.901531\pi\) | ||
0.952532 | − | 0.304438i | \(-0.0984687\pi\) | |||||||
\(602\) | −0.354609 | − | 1.43722i | −0.0144528 | − | 0.0585768i | ||||
\(603\) | −15.8789 | + | 48.8702i | −0.646639 | + | 1.99015i | ||||
\(604\) | −9.22325 | − | 17.5529i | −0.375289 | − | 0.714219i | ||||
\(605\) | 21.7555 | + | 10.7771i | 0.884486 | + | 0.438152i | ||||
\(606\) | 6.11527 | + | 0.442649i | 0.248416 | + | 0.0179814i | ||||
\(607\) | −14.3665 | − | 14.3665i | −0.583117 | − | 0.583117i | 0.352641 | − | 0.935759i | \(-0.385284\pi\) |
−0.935759 | + | 0.352641i | \(0.885284\pi\) | |||||||
\(608\) | 1.56209 | − | 33.1186i | 0.0633513 | − | 1.34314i | ||||
\(609\) | −3.05986 | + | 4.21154i | −0.123992 | + | 0.170660i | ||||
\(610\) | 20.9238 | + | 23.6440i | 0.847179 | + | 0.957319i | ||||
\(611\) | 8.45187 | + | 1.33864i | 0.341926 | + | 0.0541557i | ||||
\(612\) | −15.1741 | + | 21.4469i | −0.613376 | + | 0.866938i | ||||
\(613\) | −19.2712 | + | 26.5245i | −0.778356 | + | 1.07131i | 0.217106 | + | 0.976148i | \(0.430338\pi\) |
−0.995461 | + | 0.0951667i | \(0.969662\pi\) | |||||||
\(614\) | 21.4083 | − | 35.4328i | 0.863967 | − | 1.42995i | ||||
\(615\) | −5.10484 | + | 2.67412i | −0.205847 | + | 0.107831i | ||||
\(616\) | 0.280841 | + | 0.439482i | 0.0113154 | + | 0.0177072i | ||||
\(617\) | 8.89157 | − | 17.4507i | 0.357961 | − | 0.702538i | −0.639862 | − | 0.768490i | \(-0.721008\pi\) |
0.997823 | + | 0.0659517i | \(0.0210083\pi\) | |||||||
\(618\) | −24.3434 | + | 59.8304i | −0.979235 | + | 2.40673i | ||||
\(619\) | 4.69155 | − | 9.20768i | 0.188569 | − | 0.370088i | −0.777295 | − | 0.629136i | \(-0.783409\pi\) |
0.965864 | + | 0.259048i | \(0.0834088\pi\) | |||||||
\(620\) | 17.0523 | + | 22.3300i | 0.684836 | + | 0.896794i | ||||
\(621\) | −1.15422 | − | 2.26528i | −0.0463173 | − | 0.0909027i | ||||
\(622\) | 0.787449 | + | 9.26133i | 0.0315738 | + | 0.371346i | ||||
\(623\) | 0.222375 | − | 1.40402i | 0.00890925 | − | 0.0562508i | ||||
\(624\) | 13.1387 | − | 0.330200i | 0.525970 | − | 0.0132186i | ||||
\(625\) | 20.8686 | + | 13.7659i | 0.834745 | + | 0.550637i | ||||
\(626\) | −7.32642 | + | 18.0066i | −0.292822 | + | 0.719690i | ||||
\(627\) | 4.64640 | − | 3.37581i | 0.185559 | − | 0.134817i | ||||
\(628\) | 25.8339 | − | 13.5745i | 1.03088 | − | 0.541681i | ||||
\(629\) | 10.8003 | + | 21.1968i | 0.430637 | + | 0.845172i | ||||
\(630\) | 2.93907 | − | 4.99099i | 0.117095 | − | 0.198846i | ||||
\(631\) | −8.10090 | − | 24.9320i | −0.322492 | − | 0.992528i | −0.972560 | − | 0.232652i | \(-0.925260\pi\) |
0.650068 | − | 0.759876i | \(-0.274740\pi\) | |||||||
\(632\) | 11.6230 | − | 29.6274i | 0.462336 | − | 1.17852i | ||||
\(633\) | −0.488056 | − | 0.248677i | −0.0193985 | − | 0.00988403i | ||||
\(634\) | −5.61550 | + | 24.0549i | −0.223020 | + | 0.955343i | ||||
\(635\) | −2.74703 | − | 0.858377i | −0.109013 | − | 0.0340637i | ||||
\(636\) | −9.24533 | + | 63.5283i | −0.366601 | + | 2.51906i | ||||
\(637\) | 5.02695 | − | 6.91901i | 0.199175 | − | 0.274141i | ||||
\(638\) | 2.13011 | + | 0.497262i | 0.0843317 | + | 0.0196868i | ||||
\(639\) | −40.0852 | + | 29.1236i | −1.58574 | + | 1.15211i | ||||
\(640\) | −18.2999 | + | 17.4675i | −0.723369 | + | 0.690462i | ||||
\(641\) | −33.5183 | − | 24.3525i | −1.32389 | − | 0.961866i | −0.999875 | − | 0.0158158i | \(-0.994965\pi\) |
−0.324020 | − | 0.946050i | \(-0.605035\pi\) | |||||||
\(642\) | −37.7136 | − | 43.5994i | −1.48844 | − | 1.72073i | ||||
\(643\) | 12.3955i | 0.488832i | 0.969670 | + | 0.244416i | \(0.0785962\pi\) | ||||
−0.969670 | + | 0.244416i | \(0.921404\pi\) | |||||||
\(644\) | −1.14831 | − | 0.567034i | −0.0452496 | − | 0.0223443i | ||||
\(645\) | 11.1455 | + | 5.52120i | 0.438853 | + | 0.217397i | ||||
\(646\) | 28.9531 | − | 2.46175i | 1.13914 | − | 0.0968561i | ||||
\(647\) | −10.3074 | − | 20.2294i | −0.405225 | − | 0.795298i | 0.594738 | − | 0.803919i | \(-0.297256\pi\) |
−0.999963 | + | 0.00862139i | \(0.997256\pi\) | |||||||
\(648\) | −4.41459 | − | 16.9725i | −0.173421 | − | 0.666742i | ||||
\(649\) | −2.98992 | −0.117364 | ||||||||
\(650\) | 8.89293 | − | 0.958947i | 0.348810 | − | 0.0376130i | ||||
\(651\) | 5.64046 | − | 5.64046i | 0.221067 | − | 0.221067i | ||||
\(652\) | 30.2701 | + | 4.40523i | 1.18547 | + | 0.172522i | ||||
\(653\) | 10.4714 | − | 32.2277i | 0.409778 | − | 1.26117i | −0.507061 | − | 0.861910i | \(-0.669268\pi\) |
0.916839 | − | 0.399257i | \(-0.130732\pi\) | |||||||
\(654\) | 28.8128 | + | 24.2971i | 1.12667 | + | 0.950091i | ||||
\(655\) | 10.6976 | − | 15.0793i | 0.417988 | − | 0.589196i | ||||
\(656\) | −1.32085 | − | 3.74248i | −0.0515705 | − | 0.146119i | ||||
\(657\) | 12.9999 | − | 12.9999i | 0.507174 | − | 0.507174i | ||||
\(658\) | 3.05935 | + | 3.53681i | 0.119266 | + | 0.137879i | ||||
\(659\) | −39.8634 | + | 6.31375i | −1.55286 | + | 0.245949i | −0.873120 | − | 0.487505i | \(-0.837907\pi\) |
−0.679739 | + | 0.733454i | \(0.737907\pi\) | |||||||
\(660\) | −4.34339 | − | 0.582067i | −0.169066 | − | 0.0226569i | ||||
\(661\) | −14.7088 | − | 2.32964i | −0.572105 | − | 0.0906125i | −0.136322 | − | 0.990665i | \(-0.543528\pi\) |
−0.435782 | + | 0.900052i | \(0.643528\pi\) | |||||||
\(662\) | 9.15474 | − | 5.68944i | 0.355809 | − | 0.221126i | ||||
\(663\) | 1.80188 | + | 11.3766i | 0.0699793 | + | 0.441832i | ||||
\(664\) | 22.6473 | − | 5.89062i | 0.878885 | − | 0.228600i | ||||
\(665\) | −6.31557 | + | 1.07357i | −0.244907 | + | 0.0416311i | ||||
\(666\) | 35.0202 | + | 8.17530i | 1.35701 | + | 0.316786i | ||||
\(667\) | −5.10825 | + | 1.65977i | −0.197792 | + | 0.0642667i | ||||
\(668\) | 0.310638 | + | 24.7246i | 0.0120190 | + | 0.956625i | ||||
\(669\) | −23.9368 | + | 46.9786i | −0.925450 | + | 1.81630i | ||||
\(670\) | −40.3494 | − | 15.8882i | −1.55883 | − | 0.613813i | ||||
\(671\) | −3.58211 | − | 1.16390i | −0.138286 | − | 0.0449318i | ||||
\(672\) | 5.60531 | + | 4.49078i | 0.216230 | + | 0.173235i | ||||
\(673\) | 28.1834 | + | 4.46381i | 1.08639 | + | 0.172067i | 0.673847 | − | 0.738871i | \(-0.264641\pi\) |
0.412543 | + | 0.910938i | \(0.364641\pi\) | |||||||
\(674\) | 10.4962 | − | 25.7973i | 0.404299 | − | 0.993674i | ||||
\(675\) | 3.20634 | + | 9.15862i | 0.123412 | + | 0.352515i | ||||
\(676\) | −15.9181 | + | 16.3232i | −0.612235 | + | 0.627815i | ||||
\(677\) | −0.748101 | + | 0.543527i | −0.0287519 | + | 0.0208894i | −0.602068 | − | 0.798445i | \(-0.705657\pi\) |
0.573317 | + | 0.819334i | \(0.305657\pi\) | |||||||
\(678\) | 34.7671 | + | 29.3182i | 1.33522 | + | 1.12596i | ||||
\(679\) | 7.53048 | + | 2.44680i | 0.288993 | + | 0.0938996i | ||||
\(680\) | −17.2856 | − | 13.8845i | −0.662872 | − | 0.532448i | ||||
\(681\) | −26.4243 | + | 8.58576i | −1.01258 | + | 0.329007i | ||||
\(682\) | −3.10460 | − | 1.26318i | −0.118881 | − | 0.0483696i | ||||
\(683\) | −12.1189 | − | 37.2982i | −0.463718 | − | 1.42718i | −0.860588 | − | 0.509302i | \(-0.829904\pi\) |
0.396870 | − | 0.917875i | \(-0.370096\pi\) | |||||||
\(684\) | 25.3699 | − | 35.8575i | 0.970043 | − | 1.37105i | ||||
\(685\) | −0.0289625 | − | 2.56340i | −0.00110660 | − | 0.0979426i | ||||
\(686\) | 9.23567 | − | 2.27874i | 0.352619 | − | 0.0870027i | ||||
\(687\) | 5.17179 | + | 32.6534i | 0.197316 | + | 1.24581i | ||||
\(688\) | −4.85915 | + | 7.05418i | −0.185253 | + | 0.268938i | ||||
\(689\) | 9.18792 | + | 12.6461i | 0.350032 | + | 0.481778i | ||||
\(690\) | 9.86757 | − | 4.29202i | 0.375652 | − | 0.163395i | ||||
\(691\) | −0.993390 | − | 6.27202i | −0.0377903 | − | 0.238599i | 0.961562 | − | 0.274588i | \(-0.0885416\pi\) |
−0.999352 | + | 0.0359898i | \(0.988542\pi\) | |||||||
\(692\) | 32.6998 | + | 16.1472i | 1.24306 | + | 0.613823i | ||||
\(693\) | 0.690960i | 0.0262474i | ||||||||
\(694\) | 19.8243 | − | 17.1481i | 0.752521 | − | 0.650933i | ||||
\(695\) | 20.0323 | + | 6.25957i | 0.759868 | + | 0.237439i | ||||
\(696\) | 29.9800 | − | 2.92886i | 1.13639 | − | 0.111018i | ||||
\(697\) | 3.09910 | − | 1.57907i | 0.117387 | − | 0.0598116i | ||||
\(698\) | −49.6436 | + | 12.2487i | −1.87904 | + | 0.463620i | ||||
\(699\) | −29.2682 | − | 29.2682i | −1.10703 | − | 1.10703i | ||||
\(700\) | 4.05305 | + | 2.73233i | 0.153191 | + | 0.103272i | ||||
\(701\) | 35.0917 | − | 35.0917i | 1.32539 | − | 1.32539i | 0.416053 | − | 0.909340i | \(-0.363413\pi\) |
0.909340 | − | 0.416053i | \(-0.136587\pi\) | |||||||
\(702\) | 2.97151 | + | 1.79536i | 0.112152 | + | 0.0677617i | ||||
\(703\) | −18.0573 | − | 35.4394i | −0.681044 | − | 1.33662i | ||||
\(704\) | 0.823776 | − | 2.90332i | 0.0310472 | − | 0.109423i | ||||
\(705\) | −39.2898 | + | 0.443913i | −1.47974 | + | 0.0167187i | ||||
\(706\) | 1.01452 | − | 14.0157i | 0.0381819 | − | 0.527489i | ||||
\(707\) | 0.815847 | 0.0306831 | ||||||||
\(708\) | −38.9965 | + | 13.2146i | −1.46558 | + | 0.496636i | ||||
\(709\) | 22.5859 | − | 3.57725i | 0.848230 | − | 0.134346i | 0.282837 | − | 0.959168i | \(-0.408725\pi\) |
0.565393 | + | 0.824822i | \(0.308725\pi\) | |||||||
\(710\) | −22.4713 | − | 35.2630i | −0.843332 | − | 1.32340i | ||||
\(711\) | 34.1108 | − | 24.7829i | 1.27925 | − | 0.929433i | ||||
\(712\) | −6.93119 | + | 4.42923i | −0.259757 | + | 0.165992i | ||||
\(713\) | 8.12891 | − | 1.28749i | 0.304430 | − | 0.0482170i | ||||
\(714\) | −3.25517 | + | 5.38763i | −0.121822 | + | 0.201627i | ||||
\(715\) | −0.856100 | + | 0.636894i | −0.0320163 | + | 0.0238185i | ||||
\(716\) | 10.4730 | − | 14.8024i | 0.391395 | − | 0.553193i | ||||
\(717\) | 19.9404 | − | 6.47904i | 0.744689 | − | 0.241964i | ||||
\(718\) | −11.3879 | − | 27.0116i | −0.424992 | − | 1.00806i | ||||
\(719\) | 12.1864 | + | 37.5058i | 0.454475 | + | 1.39873i | 0.871751 | + | 0.489950i | \(0.162985\pi\) |
−0.417276 | + | 0.908780i | \(0.637015\pi\) | |||||||
\(720\) | −32.8900 | + | 6.44499i | −1.22574 | + | 0.240191i | ||||
\(721\) | −2.65600 | + | 8.17432i | −0.0989145 | + | 0.304428i | ||||
\(722\) | −21.6338 | + | 1.83942i | −0.805127 | + | 0.0684563i | ||||
\(723\) | 14.4150 | + | 19.8405i | 0.536099 | + | 0.737878i | ||||
\(724\) | 15.3042 | − | 0.192280i | 0.568775 | − | 0.00714605i | ||||
\(725\) | 20.1703 | − | 3.66361i | 0.749105 | − | 0.136063i | ||||
\(726\) | −36.7526 | + | 15.4946i | −1.36402 | + | 0.575059i | ||||
\(727\) | −1.77491 | + | 11.2063i | −0.0658276 | + | 0.415619i | 0.932665 | + | 0.360742i | \(0.117477\pi\) |
−0.998493 | + | 0.0548769i | \(0.982523\pi\) | |||||||
\(728\) | 1.74055 | − | 0.170041i | 0.0645091 | − | 0.00630213i | ||||
\(729\) | 11.8529 | − | 36.4795i | 0.438997 | − | 1.35109i | ||||
\(730\) | 10.2821 | + | 11.6188i | 0.380557 | + | 0.430032i | ||||
\(731\) | −6.68886 | − | 3.40814i | −0.247396 | − | 0.126055i | ||||
\(732\) | −51.8644 | + | 0.651620i | −1.91696 | + | 0.0240846i | ||||
\(733\) | 2.32724 | + | 7.16252i | 0.0859587 | + | 0.264554i | 0.984792 | − | 0.173737i | \(-0.0555842\pi\) |
−0.898833 | + | 0.438290i | \(0.855584\pi\) | |||||||
\(734\) | 7.30903 | + | 11.7608i | 0.269781 | + | 0.434098i | ||||
\(735\) | −17.4318 | + | 35.1890i | −0.642980 | + | 1.29797i | ||||
\(736\) | 1.95539 | + | 7.14793i | 0.0720767 | + | 0.263476i | ||||
\(737\) | 5.10947 | − | 0.809261i | 0.188210 | − | 0.0298095i | ||||
\(738\) | 1.19528 | − | 5.12017i | 0.0439988 | − | 0.188476i | ||||
\(739\) | 5.17192 | − | 32.6542i | 0.190252 | − | 1.20121i | −0.688969 | − | 0.724791i | \(-0.741936\pi\) |
0.879221 | − | 0.476414i | \(-0.158064\pi\) | |||||||
\(740\) | −8.68697 | + | 29.0789i | −0.319339 | + | 1.06896i | ||||
\(741\) | −3.01261 | − | 19.0209i | −0.110671 | − | 0.698749i | ||||
\(742\) | −0.616717 | + | 8.52004i | −0.0226404 | + | 0.312781i | ||||
\(743\) | −24.1922 | − | 24.1922i | −0.887525 | − | 0.887525i | 0.106760 | − | 0.994285i | \(-0.465952\pi\) |
−0.994285 | + | 0.106760i | \(0.965952\pi\) | |||||||
\(744\) | −46.0752 | − | 2.75373i | −1.68920 | − | 0.100956i | ||||
\(745\) | −11.9969 | + | 8.92509i | −0.439534 | + | 0.326990i | ||||
\(746\) | −44.3881 | + | 3.77412i | −1.62516 | + | 0.138180i | ||||
\(747\) | 29.4845 | + | 9.58008i | 1.07878 | + | 0.350517i | ||||
\(748\) | 2.61735 | + | 0.380905i | 0.0956997 | + | 0.0139273i | ||||
\(749\) | −5.42404 | − | 5.42404i | −0.198190 | − | 0.198190i | ||||
\(750\) | −39.5184 | + | 11.1840i | −1.44301 | + | 0.408382i | ||||
\(751\) | − | 8.48300i | − | 0.309549i | −0.987950 | − | 0.154775i | \(-0.950535\pi\) | ||
0.987950 | − | 0.154775i | \(-0.0494651\pi\) | |||||||
\(752\) | 3.56025 | − | 26.8244i | 0.129829 | − | 0.978186i | ||||
\(753\) | −61.4429 | + | 31.3067i | −2.23910 | + | 1.14088i | ||||
\(754\) | 4.72830 | − | 5.60707i | 0.172195 | − | 0.204198i | ||||
\(755\) | 21.9339 | + | 3.22041i | 0.798257 | + | 0.117203i | ||||
\(756\) | 0.608911 | + | 1.79690i | 0.0221459 | + | 0.0653527i | ||||
\(757\) | 14.6889 | 0.533876 | 0.266938 | − | 0.963714i | \(-0.413988\pi\) | ||||
0.266938 | + | 0.963714i | \(0.413988\pi\) | |||||||
\(758\) | −0.290200 | + | 4.00916i | −0.0105405 | + | 0.145619i | ||||
\(759\) | −0.754526 | + | 1.03852i | −0.0273875 | + | 0.0376957i | ||||
\(760\) | 28.9002 | + | 23.2139i | 1.04832 | + | 0.842056i | ||||
\(761\) | 12.0621 | + | 16.6021i | 0.437252 | + | 0.601825i | 0.969599 | − | 0.244701i | \(-0.0786898\pi\) |
−0.532347 | + | 0.846526i | \(0.678690\pi\) | |||||||
\(762\) | 4.01575 | − | 2.49569i | 0.145475 | − | 0.0904092i | ||||
\(763\) | 4.05733 | + | 2.94782i | 0.146885 | + | 0.106718i | ||||
\(764\) | 8.49796 | + | 1.23672i | 0.307445 | + | 0.0447428i | ||||
\(765\) | −9.39180 | − | 27.8311i | −0.339561 | − | 1.00624i | ||||
\(766\) | −19.1677 | + | 11.9122i | −0.692556 | + | 0.430406i | ||||
\(767\) | −4.55153 | + | 8.93288i | −0.164346 | + | 0.322548i | ||||
\(768\) | −2.08766 | − | 41.5080i | −0.0753319 | − | 1.49779i | ||||
\(769\) | 17.9194 | − | 5.82237i | 0.646190 | − | 0.209960i | 0.0324567 | − | 0.999473i | \(-0.489667\pi\) |
0.613734 | + | 0.789513i | \(0.289667\pi\) | |||||||
\(770\) | −0.582029 | − | 0.0355247i | −0.0209749 | − | 0.00128022i | ||||
\(771\) | −28.7626 | + | 14.6553i | −1.03586 | + | 0.527797i | ||||
\(772\) | 14.1010 | − | 45.3283i | 0.507506 | − | 1.63140i | ||||
\(773\) | −24.7961 | − | 34.1290i | −0.891855 | − | 1.22753i | −0.972994 | − | 0.230830i | \(-0.925856\pi\) |
0.0811390 | − | 0.996703i | \(-0.474144\pi\) | |||||||
\(774\) | −10.4568 | + | 4.40850i | −0.375862 | + | 0.158460i | ||||
\(775\) | −31.4047 | + | 0.709740i | −1.12809 | + | 0.0254946i | ||||
\(776\) | −18.3280 | − | 41.9916i | −0.657936 | − | 1.50741i | ||||
\(777\) | 8.51020 | + | 1.34788i | 0.305302 | + | 0.0483550i | ||||
\(778\) | −18.7438 | − | 15.8062i | −0.671998 | − | 0.566679i | ||||
\(779\) | −5.18146 | + | 2.64009i | −0.185645 | + | 0.0945910i | ||||
\(780\) | −8.35094 | + | 12.0905i | −0.299011 | + | 0.432911i | ||||
\(781\) | 4.44452 | + | 2.26460i | 0.159037 | + | 0.0810336i | ||||
\(782\) | −5.98453 | + | 2.52303i | −0.214006 | + | 0.0902235i | ||||
\(783\) | 7.08984 | + | 3.61245i | 0.253370 | + | 0.129098i | ||||
\(784\) | −22.2718 | − | 15.3415i | −0.795420 | − | 0.547912i | ||||
\(785\) | −4.73969 | + | 32.2816i | −0.169167 | + | 1.15218i | ||||
\(786\) | 7.27586 | + | 29.4888i | 0.259521 | + | 1.05183i | ||||
\(787\) | −15.4314 | − | 11.2116i | −0.550070 | − | 0.399649i | 0.277741 | − | 0.960656i | \(-0.410414\pi\) |
−0.827811 | + | 0.561007i | \(0.810414\pi\) | |||||||
\(788\) | −34.3545 | + | 5.88456i | −1.22383 | + | 0.209629i | ||||
\(789\) | 1.39165 | − | 8.78653i | 0.0495441 | − | 0.312809i | ||||
\(790\) | 19.1221 | + | 30.0074i | 0.680335 | + | 1.06761i | ||||
\(791\) | 4.89580 | + | 3.55700i | 0.174074 | + | 0.126473i | ||||
\(792\) | 2.99078 | − | 2.65345i | 0.106273 | − | 0.0942863i | ||||
\(793\) | −8.93037 | + | 8.93037i | −0.317127 | + | 0.317127i | ||||
\(794\) | 6.37044 | − | 5.51045i | 0.226079 | − | 0.195559i | ||||
\(795\) | −51.3227 | − | 50.1760i | −1.82023 | − | 1.77956i | ||||
\(796\) | 15.7364 | − | 8.26874i | 0.557762 | − | 0.293078i | ||||
\(797\) | 25.5719 | + | 8.30883i | 0.905805 | + | 0.294314i | 0.724631 | − | 0.689137i | \(-0.242010\pi\) |
0.181174 | + | 0.983451i | \(0.442010\pi\) | |||||||
\(798\) | 5.44240 | − | 9.00771i | 0.192659 | − | 0.318869i | ||||
\(799\) | 23.7152 | 0.838982 | ||||||||
\(800\) | −3.73794 | − | 28.0362i | −0.132156 | − | 0.991229i | ||||
\(801\) | −10.8973 | −0.385038 | ||||||||
\(802\) | −27.6692 | + | 45.7953i | −0.977033 | + | 1.61709i | ||||
\(803\) | −1.76027 | − | 0.571947i | −0.0621186 | − | 0.0201836i | ||||
\(804\) | 63.0645 | − | 33.1374i | 2.22411 | − | 1.16867i | ||||
\(805\) | 1.26835 | − | 0.664414i | 0.0447036 | − | 0.0234175i | ||||
\(806\) | −8.50006 | + | 7.35258i | −0.299402 | + | 0.258984i | ||||
\(807\) | 9.51360 | − | 9.51360i | 0.334895 | − | 0.334895i | ||||
\(808\) | −3.13305 | − | 3.53135i | −0.110220 | − | 0.124232i | ||||
\(809\) | −22.1210 | − | 16.0719i | −0.777733 | − | 0.565056i | 0.126565 | − | 0.991958i | \(-0.459605\pi\) |
−0.904298 | + | 0.426902i | \(0.859605\pi\) | |||||||
\(810\) | 18.2438 | + | 7.18375i | 0.641021 | + | 0.252411i | ||||
\(811\) | 5.90032 | − | 37.2531i | 0.207188 | − | 1.30813i | −0.636490 | − | 0.771285i | \(-0.719614\pi\) |
0.843678 | − | 0.536849i | \(-0.180386\pi\) | |||||||
\(812\) | 3.95070 | − | 0.676712i | 0.138642 | − | 0.0237479i | ||||
\(813\) | 49.0094 | + | 35.6074i | 1.71884 | + | 1.24881i | ||||
\(814\) | −0.867269 | − | 3.51502i | −0.0303978 | − | 0.123201i | ||||
\(815\) | −23.9079 | + | 24.4543i | −0.837458 | + | 0.856598i | ||||
\(816\) | 35.8207 | − | 6.59996i | 1.25398 | − | 0.231045i | ||||
\(817\) | 11.1833 | + | 5.69815i | 0.391253 | + | 0.199353i | ||||
\(818\) | −41.0784 | + | 17.3183i | −1.43627 | + | 0.605522i | ||||
\(819\) | 2.06436 | + | 1.05184i | 0.0721346 | + | 0.0367544i | ||||
\(820\) | 4.25152 | + | 1.27009i | 0.148469 | + | 0.0443534i | ||||
\(821\) | −21.1813 | + | 10.7924i | −0.739234 | + | 0.376658i | −0.782702 | − | 0.622396i | \(-0.786159\pi\) |
0.0434686 | + | 0.999055i | \(0.486159\pi\) | |||||||
\(822\) | 3.21955 | + | 2.71497i | 0.112295 | + | 0.0946953i | ||||
\(823\) | −4.66734 | − | 0.739234i | −0.162693 | − | 0.0257681i | 0.0745564 | − | 0.997217i | \(-0.476246\pi\) |
−0.237250 | + | 0.971449i | \(0.576246\pi\) | |||||||
\(824\) | 45.5818 | − | 19.8950i | 1.58792 | − | 0.693075i | ||||
\(825\) | 3.38529 | − | 3.54184i | 0.117861 | − | 0.123311i | ||||
\(826\) | −5.04852 | + | 2.12842i | −0.175660 | + | 0.0740571i | ||||
\(827\) | 17.3436 | + | 23.8714i | 0.603096 | + | 0.830090i | 0.995987 | − | 0.0894945i | \(-0.0285252\pi\) |
−0.392891 | + | 0.919585i | \(0.628525\pi\) | |||||||
\(828\) | −2.91628 | + | 9.37450i | −0.101348 | + | 0.325787i | ||||
\(829\) | −33.3092 | + | 16.9719i | −1.15688 | + | 0.589458i | −0.923753 | − | 0.382990i | \(-0.874894\pi\) |
−0.233123 | + | 0.972447i | \(0.574894\pi\) | |||||||
\(830\) | −9.58567 | + | 24.3437i | −0.332723 | + | 0.844981i | ||||
\(831\) | −44.7926 | + | 14.5540i | −1.55384 | + | 0.504872i | ||||
\(832\) | −7.42014 | − | 6.88088i | −0.257247 | − | 0.238552i | ||||
\(833\) | 10.7603 | − | 21.1184i | 0.372824 | − | 0.731708i | ||||
\(834\) | −29.2842 | + | 18.1994i | −1.01403 | + | 0.630193i | ||||
\(835\) | −22.5476 | − | 15.9957i | −0.780291 | − | 0.553554i | ||||
\(836\) | −4.37600 | − | 0.636844i | −0.151347 | − | 0.0220257i | ||||
\(837\) | −9.86414 | − | 7.16672i | −0.340955 | − | 0.247718i | ||||
\(838\) | −22.2981 | + | 13.8577i | −0.770275 | + | 0.478707i | ||||
\(839\) | −0.111587 | − | 0.153587i | −0.00385242 | − | 0.00530240i | 0.807086 | − | 0.590433i | \(-0.201043\pi\) |
−0.810939 | + | 0.585131i | \(0.801043\pi\) | |||||||
\(840\) | −7.74823 | + | 2.10908i | −0.267339 | + | 0.0727701i | ||||
\(841\) | −7.16483 | + | 9.86154i | −0.247063 | + | 0.340053i | ||||
\(842\) | −0.100005 | + | 1.38159i | −0.00344641 | + | 0.0476127i | ||||
\(843\) | 22.1543 | 0.763036 | ||||||||
\(844\) | 0.135358 | + | 0.399443i | 0.00465921 | + | 0.0137494i | ||||
\(845\) | −4.27186 | − | 25.1305i | −0.146957 | − | 0.864516i | ||||
\(846\) | 23.1104 | − | 27.4056i | 0.794552 | − | 0.942222i | ||||
\(847\) | −4.72881 | + | 2.40945i | −0.162484 | + | 0.0827896i | ||||
\(848\) | 39.2469 | − | 30.0496i | 1.34774 | − | 1.03191i | ||||
\(849\) | − | 25.5038i | − | 0.875288i | ||||||
\(850\) | 23.9264 | − | 6.48028i | 0.820668 | − | 0.222272i | ||||
\(851\) | 6.28619 | + | 6.28619i | 0.215488 | + | 0.215488i | ||||
\(852\) | 67.9774 | + | 9.89281i | 2.32887 | + | 0.338922i | ||||
\(853\) | 25.9074 | + | 8.41781i | 0.887051 | + | 0.288220i | 0.716882 | − | 0.697195i | \(-0.245569\pi\) |
0.170169 | + | 0.985415i | \(0.445569\pi\) | |||||||
\(854\) | −6.87699 | + | 0.584719i | −0.235326 | + | 0.0200087i | ||||
\(855\) | 15.7024 | + | 46.5315i | 0.537010 | + | 1.59134i | ||||
\(856\) | −2.64807 | + | 44.3073i | −0.0905091 | + | 1.51439i | ||||
\(857\) | 0.512151 | + | 0.512151i | 0.0174948 | + | 0.0174948i | 0.715800 | − | 0.698305i | \(-0.246062\pi\) |
−0.698305 | + | 0.715800i | \(0.746062\pi\) | |||||||
\(858\) | 0.126553 | − | 1.74835i | 0.00432046 | − | 0.0596879i | ||||
\(859\) | −3.47683 | − | 21.9519i | −0.118628 | − | 0.748988i | −0.973252 | − | 0.229740i | \(-0.926212\pi\) |
0.854624 | − | 0.519247i | \(-0.173788\pi\) | |||||||
\(860\) | −3.17588 | − | 9.03492i | −0.108296 | − | 0.308088i | ||||
\(861\) | 0.197069 | − | 1.24424i | 0.00671608 | − | 0.0424037i | ||||
\(862\) | −0.231763 | + | 0.992793i | −0.00789387 | + | 0.0338147i | ||||
\(863\) | 34.7092 | − | 5.49740i | 1.18152 | − | 0.187134i | 0.465390 | − | 0.885106i | \(-0.345914\pi\) |
0.716125 | + | 0.697972i | \(0.245914\pi\) | |||||||
\(864\) | 5.43943 | − | 9.53617i | 0.185053 | − | 0.324427i | ||||
\(865\) | −36.1183 | + | 18.9202i | −1.22806 | + | 0.643307i | ||||
\(866\) | 13.6843 | + | 22.0191i | 0.465013 | + | 0.748241i | ||||
\(867\) | −3.78118 | − | 11.6373i | −0.128416 | − | 0.395223i | ||||
\(868\) | −6.14137 | + | 0.0771596i | −0.208452 | + | 0.00261897i | ||||
\(869\) | −3.78210 | − | 1.92708i | −0.128299 | − | 0.0653716i | ||||
\(870\) | −17.0894 | + | 29.0203i | −0.579383 | + | 0.983882i | ||||
\(871\) | 5.36031 | − | 16.4973i | 0.181627 | − | 0.558991i | ||||
\(872\) | −2.82162 | − | 28.8823i | −0.0955520 | − | 0.978077i | ||||
\(873\) | 9.49545 | − | 59.9519i | 0.321372 | − | 2.02907i | ||||
\(874\) | 10.0057 | − | 4.21832i | 0.338447 | − | 0.142687i | ||||
\(875\) | −5.13729 | + | 1.86393i | −0.173672 | + | 0.0630124i | ||||
\(876\) | −25.4865 | + | 0.320210i | −0.861109 | + | 0.0108189i | ||||
\(877\) | −7.48162 | − | 10.2976i | −0.252636 | − | 0.347724i | 0.663796 | − | 0.747914i | \(-0.268944\pi\) |
−0.916432 | + | 0.400190i | \(0.868944\pi\) | |||||||
\(878\) | 12.3069 | − | 1.04640i | 0.415338 | − | 0.0353143i | ||||
\(879\) | 8.50029 | − | 26.1612i | 0.286708 | − | 0.882396i | ||||
\(880\) | 2.08136 | + | 2.65571i | 0.0701628 | + | 0.0895239i | ||||
\(881\) | −4.62121 | − | 14.2226i | −0.155693 | − | 0.479172i | 0.842538 | − | 0.538637i | \(-0.181061\pi\) |
−0.998230 | + | 0.0594648i | \(0.981061\pi\) | |||||||
\(882\) | −13.9187 | − | 33.0146i | −0.468667 | − | 1.11166i | ||||
\(883\) | −2.27682 | + | 0.739783i | −0.0766211 | + | 0.0248957i | −0.347077 | − | 0.937837i | \(-0.612826\pi\) |
0.270456 | + | 0.962732i | \(0.412826\pi\) | |||||||
\(884\) | 5.12239 | − | 7.23992i | 0.172285 | − | 0.243505i | ||||
\(885\) | 13.7300 | − | 43.9395i | 0.461527 | − | 1.47701i | ||||
\(886\) | −11.9302 | + | 19.7456i | −0.400802 | + | 0.663368i | ||||
\(887\) | 36.3729 | − | 5.76091i | 1.22128 | − | 0.193432i | 0.487688 | − | 0.873018i | \(-0.337840\pi\) |
0.733596 | + | 0.679586i | \(0.237840\pi\) | |||||||
\(888\) | −26.8469 | − | 42.0121i | −0.900924 | − | 1.40983i | ||||
\(889\) | 0.508979 | − | 0.369795i | 0.0170706 | − | 0.0124025i | ||||
\(890\) | 0.560270 | − | 9.17935i | 0.0187803 | − | 0.307693i | ||||
\(891\) | −2.31022 | + | 0.365903i | −0.0773954 | + | 0.0122582i | ||||
\(892\) | 38.4490 | − | 13.0291i | 1.28737 | − | 0.436246i | ||||
\(893\) | −39.6499 | −1.32683 | ||||||||
\(894\) | 1.77345 | − | 24.5005i | 0.0593131 | − | 0.819420i | ||||
\(895\) | 6.48213 | + | 19.2088i | 0.216674 | + | 0.642078i | ||||
\(896\) | −0.675814 | − | 5.48872i | −0.0225774 | − | 0.183365i | ||||
\(897\) | 1.95413 | + | 3.83520i | 0.0652465 | + | 0.128054i | ||||
\(898\) | 24.5714 | + | 14.8459i | 0.819957 | + | 0.495413i | ||||
\(899\) | −18.2142 | + | 18.2142i | −0.607479 | + | 0.607479i | ||||
\(900\) | 15.8275 | − | 33.9647i | 0.527585 | − | 1.13216i | ||||
\(901\) | 30.6321 | + | 30.6321i | 1.02050 | + | 1.02050i | ||||
\(902\) | −0.513917 | + | 0.126800i | −0.0171116 | + | 0.00422198i | ||||
\(903\) | −2.42260 | + | 1.23438i | −0.0806191 | + | 0.0410775i | ||||
\(904\) | −3.40472 | − | 34.8509i | −0.113239 | − | 1.15913i | ||||
\(905\) | −9.90110 | + | 13.9566i | −0.329124 | + | 0.463933i | ||||
\(906\) | −27.5447 | + | 23.8263i | −0.915112 | + | 0.791575i | ||||
\(907\) | 5.59968i | 0.185934i | 0.995669 | + | 0.0929671i | \(0.0296351\pi\) | ||||
−0.995669 | + | 0.0929671i | \(0.970365\pi\) | |||||||
\(908\) | 19.1816 | + | 9.47187i | 0.636563 | + | 0.314335i | ||||
\(909\) | −0.978381 | − | 6.17726i | −0.0324509 | − | 0.204887i | ||||
\(910\) | −0.992155 | + | 1.68483i | −0.0328896 | + | 0.0558516i | ||||
\(911\) | 16.4558 | + | 22.6495i | 0.545206 | + | 0.750411i | 0.989352 | − | 0.145543i | \(-0.0464929\pi\) |
−0.444146 | + | 0.895954i | \(0.646493\pi\) | |||||||
\(912\) | −59.8895 | + | 11.0346i | −1.98314 | + | 0.365393i | ||||
\(913\) | −0.488245 | − | 3.08266i | −0.0161585 | − | 0.102021i | ||||
\(914\) | −53.7858 | + | 13.2707i | −1.77908 | + | 0.438956i | ||||
\(915\) | 33.5539 | − | 47.2976i | 1.10926 | − | 1.56361i | ||||
\(916\) | 14.7024 | − | 20.7801i | 0.485780 | − | 0.686595i | ||||
\(917\) | 1.24891 | + | 3.84375i | 0.0412426 | + | 0.126932i | ||||
\(918\) | 8.91209 | + | 3.62609i | 0.294143 | + | 0.119679i | ||||
\(919\) | −11.2898 | + | 3.66828i | −0.372416 | + | 0.121005i | −0.489244 | − | 0.872147i | \(-0.662727\pi\) |
0.116828 | + | 0.993152i | \(0.462727\pi\) | |||||||
\(920\) | −7.74667 | − | 2.93850i | −0.255400 | − | 0.0968794i | ||||
\(921\) | −72.3154 | − | 23.4967i | −2.38287 | − | 0.774243i | ||||
\(922\) | −6.99485 | − | 5.89858i | −0.230363 | − | 0.194259i | ||||
\(923\) | 13.5317 | − | 9.83138i | 0.445402 | − | 0.323604i | ||||
\(924\) | 0.668809 | − | 0.685829i | 0.0220022 | − | 0.0225621i | ||||
\(925\) | −20.5592 | − | 26.9931i | −0.675984 | − | 0.887527i | ||||
\(926\) | −22.0825 | + | 54.2736i | −0.725676 | + | 1.78354i | ||||
\(927\) | 65.0777 | + | 10.3073i | 2.13743 | + | 0.338536i | ||||
\(928\) | −18.1007 | − | 14.5017i | −0.594186 | − | 0.476040i | ||||
\(929\) | −4.67824 | − | 1.52005i | −0.153488 | − | 0.0498713i | 0.231265 | − | 0.972891i | \(-0.425713\pi\) |
−0.384753 | + | 0.923019i | \(0.625713\pi\) | |||||||
\(930\) | 32.8201 | − | 39.8242i | 1.07621 | − | 1.30589i | ||||
\(931\) | −17.9905 | + | 35.3083i | −0.589613 | + | 1.15718i | ||||
\(932\) | 0.400380 | + | 31.8674i | 0.0131149 | + | 1.04385i | ||||
\(933\) | 16.2364 | − | 5.27552i | 0.531555 | − | 0.172713i | ||||
\(934\) | 4.04692 | + | 0.944734i | 0.132419 | + | 0.0309126i | ||||
\(935\) | −2.06724 | + | 2.11448i | −0.0676058 | + | 0.0691510i | ||||
\(936\) | −3.37478 | − | 12.9748i | −0.110308 | − | 0.424095i | ||||
\(937\) | −4.13490 | − | 26.1067i | −0.135081 | − | 0.852870i | −0.958429 | − | 0.285332i | \(-0.907896\pi\) |
0.823347 | − | 0.567538i | \(-0.192104\pi\) | |||||||
\(938\) | 8.05134 | − | 5.00370i | 0.262885 | − | 0.163377i | ||||
\(939\) | 35.2665 | + | 5.58566i | 1.15088 | + | 0.182281i | ||||
\(940\) | 21.8968 | + | 20.8760i | 0.714196 | + | 0.680901i | ||||
\(941\) | 22.5128 | − | 3.56568i | 0.733897 | − | 0.116238i | 0.221711 | − | 0.975112i | \(-0.428836\pi\) |
0.512186 | + | 0.858875i | \(0.328836\pi\) | |||||||
\(942\) | −35.0667 | − | 40.5394i | −1.14254 | − | 1.32085i | ||||
\(943\) | 0.919080 | − | 0.919080i | 0.0299293 | − | 0.0299293i | ||||
\(944\) | 28.6002 | + | 13.6786i | 0.930859 | + | 0.445201i | ||||
\(945\) | −2.02467 | − | 0.632657i | −0.0658625 | − | 0.0205803i | ||||
\(946\) | 0.873378 | + | 0.736497i | 0.0283960 | + | 0.0239456i | ||||
\(947\) | 15.4076 | − | 47.4197i | 0.500679 | − | 1.54093i | −0.307236 | − | 0.951633i | \(-0.599404\pi\) |
0.807915 | − | 0.589299i | \(-0.200596\pi\) | |||||||
\(948\) | −57.8459 | − | 8.41837i | −1.87875 | − | 0.273416i | ||||
\(949\) | −4.38844 | + | 4.38844i | −0.142455 | + | 0.142455i | ||||
\(950\) | −40.0030 | + | 10.8345i | −1.29787 | + | 0.351519i | ||||
\(951\) | 45.3703 | 1.47123 | ||||||||
\(952\) | 4.69058 | − | 1.22003i | 0.152023 | − | 0.0395415i | ||||
\(953\) | 10.4612 | + | 20.5313i | 0.338873 | + | 0.665076i | 0.996063 | − | 0.0886494i | \(-0.0282551\pi\) |
−0.657190 | + | 0.753725i | \(0.728255\pi\) | |||||||
\(954\) | 65.2499 | − | 5.54790i | 2.11254 | − | 0.179620i | ||||
\(955\) | −6.71187 | + | 6.86527i | −0.217191 | + | 0.222155i | ||||
\(956\) | −14.4749 | − | 7.14772i | −0.468152 | − | 0.231174i | ||||
\(957\) | − | 4.01762i | − | 0.129871i | ||||||
\(958\) | 6.64576 | + | 7.68293i | 0.214715 | + | 0.248224i | ||||
\(959\) | 0.453368 | + | 0.329391i | 0.0146400 | + | 0.0106366i | ||||
\(960\) | 38.8841 | + | 25.4385i | 1.25498 | + | 0.821022i | ||||
\(961\) | 6.85274 | − | 4.97881i | 0.221056 | − | 0.160607i | ||||
\(962\) | −11.8219 | − | 2.75977i | −0.381155 | − | 0.0889787i | ||||
\(963\) | −34.5640 | + | 47.5732i | −1.11381 | + | 1.53303i | ||||
\(964\) | 2.71938 | − | 18.6859i | 0.0875854 | − | 0.601833i | ||||
\(965\) | 31.6793 | + | 42.5827i | 1.01979 | + | 1.37079i | ||||
\(966\) | −0.534745 | + | 2.29067i | −0.0172051 | + | 0.0737011i | ||||
\(967\) | 2.97998 | + | 1.51838i | 0.0958297 | + | 0.0488277i | 0.501248 | − | 0.865303i | \(-0.332874\pi\) |
−0.405419 | + | 0.914131i | \(0.632874\pi\) | |||||||
\(968\) | 28.5889 | + | 11.2155i | 0.918883 | + | 0.360481i | ||||
\(969\) | −16.4925 | − | 50.7586i | −0.529815 | − | 1.63060i | ||||
\(970\) | 50.0122 | + | 11.0808i | 1.60580 | + | 0.355784i | ||||
\(971\) | 10.1327 | + | 19.8866i | 0.325174 | + | 0.638191i | 0.994495 | − | 0.104783i | \(-0.0334147\pi\) |
−0.669321 | + | 0.742974i | \(0.733415\pi\) | |||||||
\(972\) | −38.8223 | + | 20.3993i | −1.24523 | + | 0.654308i | ||||
\(973\) | −3.71165 | + | 2.69667i | −0.118990 | + | 0.0864512i | ||||
\(974\) | −5.84781 | + | 14.3726i | −0.187376 | + | 0.460527i | ||||
\(975\) | −5.42844 | − | 15.5058i | −0.173849 | − | 0.496584i | ||||
\(976\) | 28.9402 | + | 27.5212i | 0.926353 | + | 0.880933i | ||||
\(977\) | 0.538213 | − | 3.39814i | 0.0172190 | − | 0.108716i | −0.977582 | − | 0.210555i | \(-0.932473\pi\) |
0.994801 | + | 0.101839i | \(0.0324727\pi\) | |||||||
\(978\) | −4.75986 | − | 55.9816i | −0.152204 | − | 1.79009i | ||||
\(979\) | 0.498064 | + | 0.977505i | 0.0159182 | + | 0.0312412i | ||||
\(980\) | 28.5254 | − | 10.0270i | 0.911212 | − | 0.320301i | ||||
\(981\) | 17.4541 | − | 34.2555i | 0.557265 | − | 1.09369i | ||||
\(982\) | −2.59817 | + | 6.38571i | −0.0829110 | + | 0.203776i | ||||
\(983\) | 4.82511 | − | 9.46982i | 0.153897 | − | 0.302040i | −0.801166 | − | 0.598442i | \(-0.795787\pi\) |
0.955063 | + | 0.296402i | \(0.0957867\pi\) | |||||||
\(984\) | −6.14243 | + | 3.92519i | −0.195814 | + | 0.125130i | ||||
\(985\) | 17.2981 | − | 34.9192i | 0.551164 | − | 1.11262i | ||||
\(986\) | 10.5116 | − | 17.3978i | 0.334759 | − | 0.554059i | ||||
\(987\) | 5.04864 | − | 6.94886i | 0.160700 | − | 0.221185i | ||||
\(988\) | −8.56424 | + | 12.1046i | −0.272465 | + | 0.385098i | ||||
\(989\) | −2.77079 | − | 0.438850i | −0.0881061 | − | 0.0139546i | ||||
\(990\) | 0.429004 | + | 4.44949i | 0.0136346 | + | 0.141414i | ||||
\(991\) | −6.66372 | + | 9.17182i | −0.211680 | + | 0.291353i | −0.901633 | − | 0.432501i | \(-0.857631\pi\) |
0.689953 | + | 0.723854i | \(0.257631\pi\) | |||||||
\(992\) | 23.9183 | + | 26.2863i | 0.759407 | + | 0.834591i | ||||
\(993\) | −13.9989 | − | 13.9989i | −0.444241 | − | 0.444241i | ||||
\(994\) | 9.11673 | + | 0.659907i | 0.289165 | + | 0.0209310i | ||||
\(995\) | −2.88713 | + | 19.6640i | −0.0915282 | + | 0.623390i | ||||
\(996\) | −19.9925 | − | 38.0482i | −0.633488 | − | 1.20560i | ||||
\(997\) | 10.5788 | − | 32.5584i | 0.335036 | − | 1.03113i | −0.631669 | − | 0.775238i | \(-0.717630\pi\) |
0.966705 | − | 0.255895i | \(-0.0823702\pi\) | |||||||
\(998\) | −10.2317 | − | 41.4690i | −0.323880 | − | 1.31268i | ||||
\(999\) | − | 13.1702i | − | 0.416686i |
(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 | 400.2.bm.a.123.19 | yes | 464 | |
16.3 | odd | 4 | 400.2.bd.a.323.34 | yes | 464 | ||
25.12 | odd | 20 | 400.2.bd.a.187.34 | ✓ | 464 | ||
400.387 | even | 20 | inner | 400.2.bm.a.387.19 | yes | 464 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
400.2.bd.a.187.34 | ✓ | 464 | 25.12 | odd | 20 | ||
400.2.bd.a.323.34 | yes | 464 | 16.3 | odd | 4 | ||
400.2.bm.a.123.19 | yes | 464 | 1.1 | even | 1 | trivial | |
400.2.bm.a.387.19 | yes | 464 | 400.387 | even | 20 | inner |