Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(4,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 44, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.y (of order \(33\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 4.13 | ||
Character | \(\chi\) | \(=\) | 483.4 |
Dual form | 483.2.y.b.121.13 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{2}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.900476 | − | 1.26454i | 0.636733 | − | 0.894166i | −0.362553 | − | 0.931963i | \(-0.618095\pi\) |
0.999285 | + | 0.0377975i | \(0.0120342\pi\) | |||||||
\(3\) | 0.235759 | − | 0.971812i | 0.136115 | − | 0.561076i | ||||
\(4\) | −0.134072 | − | 0.387376i | −0.0670360 | − | 0.193688i | ||||
\(5\) | −0.164040 | + | 3.44363i | −0.0733611 | + | 1.54004i | 0.599563 | + | 0.800328i | \(0.295341\pi\) |
−0.672924 | + | 0.739712i | \(0.734962\pi\) | |||||||
\(6\) | −1.01660 | − | 1.17322i | −0.415025 | − | 0.478965i | ||||
\(7\) | −1.20985 | + | 2.35293i | −0.457279 | + | 0.889323i | ||||
\(8\) | 2.36844 | + | 0.695436i | 0.837369 | + | 0.245874i | ||||
\(9\) | −0.888835 | − | 0.458227i | −0.296278 | − | 0.152742i | ||||
\(10\) | 4.20690 | + | 3.30834i | 1.33034 | + | 1.04619i | ||||
\(11\) | −0.730670 | − | 1.02608i | −0.220305 | − | 0.309376i | 0.689601 | − | 0.724190i | \(-0.257786\pi\) |
−0.909906 | + | 0.414814i | \(0.863847\pi\) | |||||||
\(12\) | −0.408065 | + | 0.0389655i | −0.117798 | + | 0.0112484i | ||||
\(13\) | −0.0342560 | + | 0.238256i | −0.00950092 | + | 0.0660803i | −0.994020 | − | 0.109195i | \(-0.965173\pi\) |
0.984519 | + | 0.175276i | \(0.0560817\pi\) | |||||||
\(14\) | 1.88594 | + | 3.64866i | 0.504038 | + | 0.975144i | ||||
\(15\) | 3.30789 | + | 0.971284i | 0.854093 | + | 0.250784i | ||||
\(16\) | 3.65657 | − | 2.87556i | 0.914142 | − | 0.718889i | ||||
\(17\) | 4.75064 | − | 0.915610i | 1.15220 | − | 0.222068i | 0.422843 | − | 0.906203i | \(-0.361032\pi\) |
0.729356 | + | 0.684135i | \(0.239820\pi\) | |||||||
\(18\) | −1.37982 | + | 0.711347i | −0.325227 | + | 0.167666i | ||||
\(19\) | 7.12767 | + | 1.37375i | 1.63520 | + | 0.315159i | 0.922408 | − | 0.386217i | \(-0.126219\pi\) |
0.712791 | + | 0.701376i | \(0.247431\pi\) | |||||||
\(20\) | 1.35597 | − | 0.398150i | 0.303205 | − | 0.0890290i | ||||
\(21\) | 2.00137 | + | 1.73047i | 0.436735 | + | 0.377619i | ||||
\(22\) | −1.95548 | −0.416909 | ||||||||
\(23\) | −4.29238 | + | 2.13904i | −0.895023 | + | 0.446020i | ||||
\(24\) | 1.23421 | − | 2.13772i | 0.251933 | − | 0.436360i | ||||
\(25\) | −6.85434 | − | 0.654511i | −1.37087 | − | 0.130902i | ||||
\(26\) | 0.270438 | + | 0.257862i | 0.0530372 | + | 0.0505709i | ||||
\(27\) | −0.654861 | + | 0.755750i | −0.126028 | + | 0.145444i | ||||
\(28\) | 1.07367 | + | 0.153203i | 0.202905 | + | 0.0289527i | ||||
\(29\) | −1.56729 | − | 1.80874i | −0.291038 | − | 0.335875i | 0.591336 | − | 0.806426i | \(-0.298601\pi\) |
−0.882373 | + | 0.470550i | \(0.844055\pi\) | |||||||
\(30\) | 4.20690 | − | 3.30834i | 0.768072 | − | 0.604018i | ||||
\(31\) | −1.10815 | + | 1.05661i | −0.199029 | + | 0.189774i | −0.783039 | − | 0.621973i | \(-0.786331\pi\) |
0.584010 | + | 0.811747i | \(0.301483\pi\) | |||||||
\(32\) | −0.108705 | − | 2.28199i | −0.0192164 | − | 0.403403i | ||||
\(33\) | −1.16942 | + | 0.468166i | −0.203570 | + | 0.0814972i | ||||
\(34\) | 3.12001 | − | 6.83186i | 0.535077 | − | 1.17165i | ||||
\(35\) | −7.90416 | − | 4.55224i | −1.33605 | − | 0.769469i | ||||
\(36\) | −0.0583379 | + | 0.405749i | −0.00972298 | + | 0.0676248i | ||||
\(37\) | −2.45021 | − | 1.26317i | −0.402812 | − | 0.207664i | 0.244902 | − | 0.969548i | \(-0.421244\pi\) |
−0.647714 | + | 0.761884i | \(0.724275\pi\) | |||||||
\(38\) | 8.15545 | − | 7.77621i | 1.32299 | − | 1.26147i | ||||
\(39\) | 0.223464 | + | 0.0894614i | 0.0357828 | + | 0.0143253i | ||||
\(40\) | −2.78335 | + | 8.04195i | −0.440086 | + | 1.27154i | ||||
\(41\) | 5.95377 | + | 3.82625i | 0.929822 | + | 0.597560i | 0.915492 | − | 0.402337i | \(-0.131802\pi\) |
0.0143304 | + | 0.999897i | \(0.495438\pi\) | |||||||
\(42\) | 3.99043 | − | 0.972574i | 0.615737 | − | 0.150071i | ||||
\(43\) | −0.169906 | + | 0.0498889i | −0.0259104 | + | 0.00760798i | −0.294662 | − | 0.955602i | \(-0.595207\pi\) |
0.268752 | + | 0.963209i | \(0.413389\pi\) | |||||||
\(44\) | −0.299517 | + | 0.420613i | −0.0451539 | + | 0.0634098i | ||||
\(45\) | 1.72377 | − | 2.98566i | 0.256964 | − | 0.445075i | ||||
\(46\) | −1.16028 | + | 7.35404i | −0.171075 | + | 1.08429i | ||||
\(47\) | −5.18074 | − | 8.97330i | −0.755688 | − | 1.30889i | −0.945031 | − | 0.326979i | \(-0.893969\pi\) |
0.189343 | − | 0.981911i | \(-0.439364\pi\) | |||||||
\(48\) | −1.93243 | − | 4.23143i | −0.278922 | − | 0.610755i | ||||
\(49\) | −4.07255 | − | 5.69336i | −0.581792 | − | 0.813337i | ||||
\(50\) | −6.99983 | + | 8.07823i | −0.989925 | + | 1.14243i | ||||
\(51\) | 0.230205 | − | 4.83259i | 0.0322351 | − | 0.676698i | ||||
\(52\) | 0.0968874 | − | 0.0186735i | 0.0134359 | − | 0.00258955i | ||||
\(53\) | −5.90148 | − | 2.36260i | −0.810630 | − | 0.324527i | −0.0709450 | − | 0.997480i | \(-0.522601\pi\) |
−0.739685 | + | 0.672953i | \(0.765026\pi\) | |||||||
\(54\) | 0.365990 | + | 1.50863i | 0.0498050 | + | 0.205299i | ||||
\(55\) | 3.65331 | − | 2.34784i | 0.492613 | − | 0.316583i | ||||
\(56\) | −4.50176 | + | 4.73139i | −0.601572 | + | 0.632259i | ||||
\(57\) | 3.01543 | − | 6.60288i | 0.399404 | − | 0.874572i | ||||
\(58\) | −3.69853 | + | 0.353167i | −0.485641 | + | 0.0463731i | ||||
\(59\) | −10.5379 | − | 8.28708i | −1.37192 | − | 1.07889i | −0.987821 | − | 0.155592i | \(-0.950272\pi\) |
−0.384094 | − | 0.923294i | \(-0.625486\pi\) | |||||||
\(60\) | −0.0672437 | − | 1.41162i | −0.00868112 | − | 0.182239i | ||||
\(61\) | 1.03191 | + | 4.25359i | 0.132122 | + | 0.544616i | 0.998942 | + | 0.0459936i | \(0.0146454\pi\) |
−0.866819 | + | 0.498622i | \(0.833839\pi\) | |||||||
\(62\) | 0.338275 | + | 2.35275i | 0.0429609 | + | 0.298800i | ||||
\(63\) | 2.15353 | − | 1.53698i | 0.271319 | − | 0.193642i | ||||
\(64\) | 4.84314 | + | 3.11250i | 0.605393 | + | 0.389062i | ||||
\(65\) | −0.814847 | − | 0.157049i | −0.101069 | − | 0.0194795i | ||||
\(66\) | −0.461021 | + | 1.90035i | −0.0567477 | + | 0.233917i | ||||
\(67\) | −1.12861 | − | 0.107769i | −0.137882 | − | 0.0131661i | 0.0258869 | − | 0.999665i | \(-0.491759\pi\) |
−0.163769 | + | 0.986499i | \(0.552365\pi\) | |||||||
\(68\) | −0.991613 | − | 1.71752i | −0.120251 | − | 0.208280i | ||||
\(69\) | 1.06677 | + | 4.67568i | 0.128424 | + | 0.562886i | ||||
\(70\) | −12.8740 | + | 5.89595i | −1.53874 | + | 0.704701i | ||||
\(71\) | −5.24373 | − | 11.4822i | −0.622317 | − | 1.36268i | −0.913822 | − | 0.406114i | \(-0.866884\pi\) |
0.291506 | − | 0.956569i | \(-0.405844\pi\) | |||||||
\(72\) | −1.78648 | − | 1.70341i | −0.210539 | − | 0.200749i | ||||
\(73\) | 4.64673 | + | 13.4258i | 0.543859 | + | 1.57138i | 0.797020 | + | 0.603952i | \(0.206408\pi\) |
−0.253162 | + | 0.967424i | \(0.581471\pi\) | |||||||
\(74\) | −3.80369 | + | 1.96094i | −0.442169 | + | 0.227954i | ||||
\(75\) | −2.25203 | + | 6.50682i | −0.260042 | + | 0.751343i | ||||
\(76\) | −0.423465 | − | 2.94527i | −0.0485748 | − | 0.337845i | ||||
\(77\) | 3.29830 | − | 0.477813i | 0.375876 | − | 0.0544518i | ||||
\(78\) | 0.314351 | − | 0.202021i | 0.0355933 | − | 0.0228744i | ||||
\(79\) | 11.9403 | − | 4.78018i | 1.34339 | − | 0.537812i | 0.415135 | − | 0.909760i | \(-0.363734\pi\) |
0.928254 | + | 0.371948i | \(0.121310\pi\) | |||||||
\(80\) | 9.30254 | + | 13.0636i | 1.04006 | + | 1.46055i | ||||
\(81\) | 0.580057 | + | 0.814576i | 0.0644508 | + | 0.0905084i | ||||
\(82\) | 10.1997 | − | 4.08333i | 1.12637 | − | 0.450929i | ||||
\(83\) | 15.1959 | − | 9.76581i | 1.66797 | − | 1.07194i | 0.763058 | − | 0.646330i | \(-0.223697\pi\) |
0.904908 | − | 0.425607i | \(-0.139939\pi\) | |||||||
\(84\) | 0.402013 | − | 1.00729i | 0.0438632 | − | 0.109904i | ||||
\(85\) | 2.37373 | + | 16.5097i | 0.257467 | + | 1.79072i | ||||
\(86\) | −0.0899096 | + | 0.259777i | −0.00969520 | + | 0.0280124i | ||||
\(87\) | −2.12726 | + | 1.09668i | −0.228066 | + | 0.117576i | ||||
\(88\) | −1.01697 | − | 2.93835i | −0.108410 | − | 0.313229i | ||||
\(89\) | −11.3420 | − | 10.8145i | −1.20225 | − | 1.14634i | −0.985422 | − | 0.170128i | \(-0.945582\pi\) |
−0.216823 | − | 0.976211i | \(-0.569570\pi\) | |||||||
\(90\) | −2.22327 | − | 4.86829i | −0.234354 | − | 0.513163i | ||||
\(91\) | −0.519155 | − | 0.368855i | −0.0544222 | − | 0.0386665i | ||||
\(92\) | 1.40410 | + | 1.37598i | 0.146387 | + | 0.143456i | ||||
\(93\) | 0.765575 | + | 1.32602i | 0.0793865 | + | 0.137501i | ||||
\(94\) | −16.0122 | − | 1.52898i | −1.65154 | − | 0.157703i | ||||
\(95\) | −5.89990 | + | 24.3197i | −0.605317 | + | 2.49515i | ||||
\(96\) | −2.24329 | − | 0.432359i | −0.228955 | − | 0.0441275i | ||||
\(97\) | 4.93154 | + | 3.16931i | 0.500722 | + | 0.321794i | 0.766505 | − | 0.642238i | \(-0.221994\pi\) |
−0.265783 | + | 0.964033i | \(0.585630\pi\) | |||||||
\(98\) | −10.8667 | + | 0.0231678i | −1.09770 | + | 0.00234030i | ||||
\(99\) | 0.179267 | + | 1.24683i | 0.0180170 | + | 0.125311i | ||||
\(100\) | 0.665435 | + | 2.74296i | 0.0665435 | + | 0.274296i | ||||
\(101\) | 0.301982 | + | 6.33939i | 0.0300483 | + | 0.630792i | 0.962791 | + | 0.270249i | \(0.0871059\pi\) |
−0.932742 | + | 0.360544i | \(0.882591\pi\) | |||||||
\(102\) | −5.90371 | − | 4.64273i | −0.584555 | − | 0.459699i | ||||
\(103\) | 8.28334 | − | 0.790963i | 0.816182 | − | 0.0779359i | 0.321389 | − | 0.946947i | \(-0.395850\pi\) |
0.494792 | + | 0.869011i | \(0.335244\pi\) | |||||||
\(104\) | −0.246825 | + | 0.540471i | −0.0242032 | + | 0.0529976i | ||||
\(105\) | −6.28740 | + | 6.60812i | −0.613587 | + | 0.644887i | ||||
\(106\) | −8.30174 | + | 5.33520i | −0.806336 | + | 0.518201i | ||||
\(107\) | −1.40052 | − | 5.77302i | −0.135393 | − | 0.558099i | −0.998583 | − | 0.0532188i | \(-0.983052\pi\) |
0.863190 | − | 0.504880i | \(-0.168463\pi\) | |||||||
\(108\) | 0.380558 | + | 0.152352i | 0.0366192 | + | 0.0146601i | ||||
\(109\) | 4.40191 | − | 0.848399i | 0.421627 | − | 0.0812619i | 0.0259752 | − | 0.999663i | \(-0.491731\pi\) |
0.395652 | + | 0.918401i | \(0.370519\pi\) | |||||||
\(110\) | 0.320777 | − | 6.73394i | 0.0305849 | − | 0.642056i | ||||
\(111\) | −1.80522 | + | 2.08334i | −0.171344 | + | 0.197742i | ||||
\(112\) | 2.34210 | + | 12.0826i | 0.221307 | + | 1.14170i | ||||
\(113\) | 1.07401 | + | 2.35175i | 0.101034 | + | 0.221234i | 0.953398 | − | 0.301715i | \(-0.0975591\pi\) |
−0.852364 | + | 0.522949i | \(0.824832\pi\) | |||||||
\(114\) | −5.63429 | − | 9.75887i | −0.527699 | − | 0.914002i | ||||
\(115\) | −6.66193 | − | 15.1323i | −0.621228 | − | 1.41109i | ||||
\(116\) | −0.490535 | + | 0.849631i | −0.0455450 | + | 0.0788862i | ||||
\(117\) | 0.139623 | − | 0.196073i | 0.0129082 | − | 0.0181270i | ||||
\(118\) | −19.9685 | + | 5.86327i | −1.83825 | + | 0.539758i | ||||
\(119\) | −3.59317 | + | 12.2857i | −0.329386 | + | 1.12622i | ||||
\(120\) | 7.15906 | + | 4.60085i | 0.653530 | + | 0.419998i | ||||
\(121\) | 3.07878 | − | 8.89555i | 0.279889 | − | 0.808687i | ||||
\(122\) | 6.30805 | + | 2.52536i | 0.571104 | + | 0.228635i | ||||
\(123\) | 5.12205 | − | 4.88387i | 0.461840 | − | 0.440363i | ||||
\(124\) | 0.557878 | + | 0.287606i | 0.0500990 | + | 0.0258278i | ||||
\(125\) | 0.925105 | − | 6.43425i | 0.0827439 | − | 0.575497i | ||||
\(126\) | −0.00437831 | − | 4.10724i | −0.000390051 | − | 0.365902i | ||||
\(127\) | −2.87832 | + | 6.30264i | −0.255409 | + | 0.559269i | −0.993288 | − | 0.115665i | \(-0.963100\pi\) |
0.737879 | + | 0.674933i | \(0.235828\pi\) | |||||||
\(128\) | 12.5389 | − | 5.01981i | 1.10829 | − | 0.443692i | ||||
\(129\) | 0.00842575 | + | 0.176878i | 0.000741846 | + | 0.0155733i | ||||
\(130\) | −0.932345 | + | 0.888989i | −0.0817720 | + | 0.0779695i | ||||
\(131\) | 16.6877 | − | 13.1233i | 1.45801 | − | 1.14659i | 0.497806 | − | 0.867288i | \(-0.334139\pi\) |
0.960203 | − | 0.279303i | \(-0.0901034\pi\) | |||||||
\(132\) | 0.338143 | + | 0.390238i | 0.0294316 | + | 0.0339658i | ||||
\(133\) | −11.8557 | + | 15.1089i | −1.02802 | + | 1.31011i | ||||
\(134\) | −1.15257 | + | 1.33013i | −0.0995665 | + | 0.114906i | ||||
\(135\) | −2.49510 | − | 2.37907i | −0.214744 | − | 0.204758i | ||||
\(136\) | 11.8883 | + | 1.13520i | 1.01942 | + | 0.0973424i | ||||
\(137\) | −1.33981 | + | 2.32062i | −0.114468 | + | 0.198264i | −0.917567 | − | 0.397581i | \(-0.869850\pi\) |
0.803099 | + | 0.595846i | \(0.203183\pi\) | |||||||
\(138\) | 6.87320 | + | 2.86136i | 0.585085 | + | 0.243575i | ||||
\(139\) | −13.9490 | −1.18314 | −0.591571 | − | 0.806253i | \(-0.701492\pi\) | ||||
−0.591571 | + | 0.806253i | \(0.701492\pi\) | |||||||
\(140\) | −0.703701 | + | 3.67221i | −0.0594736 | + | 0.310358i | ||||
\(141\) | −9.94176 | + | 2.91916i | −0.837247 | + | 0.245838i | ||||
\(142\) | −19.2415 | − | 3.70850i | −1.61471 | − | 0.311211i | ||||
\(143\) | 0.269500 | − | 0.138937i | 0.0225367 | − | 0.0116185i | ||||
\(144\) | −4.56774 | + | 0.880360i | −0.380645 | + | 0.0733634i | ||||
\(145\) | 6.48575 | − | 5.10045i | 0.538612 | − | 0.423569i | ||||
\(146\) | 21.1618 | + | 6.21367i | 1.75136 | + | 0.514247i | ||||
\(147\) | −6.49301 | + | 2.61549i | −0.535535 | + | 0.215722i | ||||
\(148\) | −0.160817 | + | 1.11851i | −0.0132191 | + | 0.0919408i | ||||
\(149\) | −7.04257 | + | 0.672484i | −0.576950 | + | 0.0550920i | −0.379452 | − | 0.925211i | \(-0.623888\pi\) |
−0.197498 | + | 0.980303i | \(0.563281\pi\) | |||||||
\(150\) | 6.20025 | + | 8.70703i | 0.506248 | + | 0.710926i | ||||
\(151\) | −9.51435 | − | 7.48216i | −0.774267 | − | 0.608890i | 0.150857 | − | 0.988556i | \(-0.451797\pi\) |
−0.925124 | + | 0.379666i | \(0.876039\pi\) | |||||||
\(152\) | 15.9261 | + | 8.21047i | 1.29178 | + | 0.665957i | ||||
\(153\) | −4.64209 | − | 1.36304i | −0.375291 | − | 0.110195i | ||||
\(154\) | 2.36582 | − | 4.60109i | 0.190643 | − | 0.370767i | ||||
\(155\) | −3.45681 | − | 3.98938i | −0.277658 | − | 0.320434i | ||||
\(156\) | 0.00469493 | − | 0.0985587i | 0.000375895 | − | 0.00789102i | ||||
\(157\) | 0.643015 | + | 1.85787i | 0.0513182 | + | 0.148274i | 0.967747 | − | 0.251923i | \(-0.0810629\pi\) |
−0.916429 | + | 0.400197i | \(0.868942\pi\) | |||||||
\(158\) | 4.70722 | − | 19.4034i | 0.374487 | − | 1.54365i | ||||
\(159\) | −3.68732 | + | 5.17812i | −0.292424 | + | 0.410652i | ||||
\(160\) | 7.87617 | 0.622666 | ||||||||
\(161\) | 0.160119 | − | 12.6876i | 0.0126191 | − | 0.999920i | ||||
\(162\) | 1.55239 | 0.121967 | ||||||||
\(163\) | 5.84559 | − | 8.20899i | 0.457862 | − | 0.642977i | −0.519520 | − | 0.854458i | \(-0.673889\pi\) |
0.977382 | + | 0.211481i | \(0.0678286\pi\) | |||||||
\(164\) | 0.683964 | − | 2.81934i | 0.0534086 | − | 0.220153i | ||||
\(165\) | −1.42036 | − | 4.10386i | −0.110575 | − | 0.319485i | ||||
\(166\) | 1.33427 | − | 28.0097i | 0.103559 | − | 2.17398i | ||||
\(167\) | 0.680911 | + | 0.785813i | 0.0526905 | + | 0.0608080i | 0.781483 | − | 0.623927i | \(-0.214464\pi\) |
−0.728793 | + | 0.684735i | \(0.759918\pi\) | |||||||
\(168\) | 3.53669 | + | 5.49033i | 0.272862 | + | 0.423588i | ||||
\(169\) | 12.4178 | + | 3.64620i | 0.955217 | + | 0.280477i | ||||
\(170\) | 23.0146 | + | 11.8649i | 1.76514 | + | 0.909993i | ||||
\(171\) | −5.70584 | − | 4.48712i | −0.436336 | − | 0.343139i | ||||
\(172\) | 0.0421054 | + | 0.0591287i | 0.00321050 | + | 0.00450852i | ||||
\(173\) | 12.7219 | − | 1.21480i | 0.967232 | − | 0.0923594i | 0.400531 | − | 0.916283i | \(-0.368826\pi\) |
0.566701 | + | 0.823924i | \(0.308220\pi\) | |||||||
\(174\) | −0.528751 | + | 3.67754i | −0.0400845 | + | 0.278794i | ||||
\(175\) | 9.83272 | − | 15.3359i | 0.743284 | − | 1.15929i | ||||
\(176\) | −5.62230 | − | 1.65086i | −0.423797 | − | 0.124438i | ||||
\(177\) | −10.5379 | + | 8.28708i | −0.792076 | + | 0.622895i | ||||
\(178\) | −23.8886 | + | 4.60415i | −1.79053 | + | 0.345095i | ||||
\(179\) | −13.2261 | + | 6.81852i | −0.988563 | + | 0.509640i | −0.875121 | − | 0.483905i | \(-0.839218\pi\) |
−0.113443 | + | 0.993545i | \(0.536188\pi\) | |||||||
\(180\) | −1.38768 | − | 0.267453i | −0.103432 | − | 0.0199348i | ||||
\(181\) | −11.7795 | + | 3.45876i | −0.875561 | + | 0.257088i | −0.688479 | − | 0.725256i | \(-0.741721\pi\) |
−0.187082 | + | 0.982344i | \(0.559903\pi\) | |||||||
\(182\) | −0.933919 | + | 0.324348i | −0.0692267 | + | 0.0240422i | ||||
\(183\) | 4.37697 | 0.323555 | ||||||||
\(184\) | −11.6538 | + | 2.08110i | −0.859129 | + | 0.153421i | ||||
\(185\) | 4.75183 | − | 8.23041i | 0.349362 | − | 0.605112i | ||||
\(186\) | 2.36618 | + | 0.225943i | 0.173497 | + | 0.0165669i | ||||
\(187\) | −4.41064 | − | 4.20554i | −0.322538 | − | 0.307539i | ||||
\(188\) | −2.78145 | + | 3.20996i | −0.202858 | + | 0.234111i | ||||
\(189\) | −0.985944 | − | 2.45518i | −0.0717169 | − | 0.178588i | ||||
\(190\) | 25.4406 | + | 29.3600i | 1.84565 | + | 2.13000i | ||||
\(191\) | −4.16795 | + | 3.27771i | −0.301582 | + | 0.237167i | −0.757469 | − | 0.652871i | \(-0.773565\pi\) |
0.455887 | + | 0.890038i | \(0.349322\pi\) | |||||||
\(192\) | 4.16658 | − | 3.97282i | 0.300697 | − | 0.286714i | ||||
\(193\) | −0.598825 | − | 12.5709i | −0.0431044 | − | 0.904872i | −0.912079 | − | 0.410015i | \(-0.865524\pi\) |
0.868974 | − | 0.494857i | \(-0.164780\pi\) | |||||||
\(194\) | 8.44845 | − | 3.38225i | 0.606564 | − | 0.242831i | ||||
\(195\) | −0.344729 | + | 0.754852i | −0.0246866 | + | 0.0540561i | ||||
\(196\) | −1.65946 | + | 2.34093i | −0.118533 | + | 0.167209i | ||||
\(197\) | 0.302387 | − | 2.10315i | 0.0215442 | − | 0.149843i | −0.976210 | − | 0.216828i | \(-0.930429\pi\) |
0.997754 | + | 0.0669851i | \(0.0213380\pi\) | |||||||
\(198\) | 1.73810 | + | 0.896051i | 0.123521 | + | 0.0636795i | ||||
\(199\) | −2.54323 | + | 2.42496i | −0.180284 | + | 0.171901i | −0.774848 | − | 0.632148i | \(-0.782173\pi\) |
0.594563 | + | 0.804049i | \(0.297325\pi\) | |||||||
\(200\) | −15.7789 | − | 6.31692i | −1.11574 | − | 0.446674i | ||||
\(201\) | −0.370812 | + | 1.07139i | −0.0261550 | + | 0.0755700i | ||||
\(202\) | 8.28834 | + | 5.32659i | 0.583166 | + | 0.374778i | ||||
\(203\) | 6.15202 | − | 1.49941i | 0.431787 | − | 0.105238i | ||||
\(204\) | −1.90289 | + | 0.558739i | −0.133229 | + | 0.0391196i | ||||
\(205\) | −14.1529 | + | 19.8749i | −0.988479 | + | 1.38813i | ||||
\(206\) | 6.45874 | − | 11.1869i | 0.450002 | − | 0.779426i | ||||
\(207\) | 4.79538 | + | 0.0656311i | 0.333302 | + | 0.00456168i | ||||
\(208\) | 0.559859 | + | 0.969704i | 0.0388192 | + | 0.0672369i | ||||
\(209\) | −3.79840 | − | 8.31733i | −0.262741 | − | 0.575322i | ||||
\(210\) | 2.69460 | + | 13.9011i | 0.185945 | + | 0.959269i | ||||
\(211\) | 3.91504 | − | 4.51819i | 0.269522 | − | 0.311045i | −0.604813 | − | 0.796367i | \(-0.706752\pi\) |
0.874335 | + | 0.485322i | \(0.161298\pi\) | |||||||
\(212\) | −0.123989 | + | 2.60285i | −0.00851560 | + | 0.178764i | ||||
\(213\) | −12.3948 | + | 2.38890i | −0.849275 | + | 0.163684i | ||||
\(214\) | −8.56135 | − | 3.42745i | −0.585242 | − | 0.234296i | ||||
\(215\) | −0.143928 | − | 0.593277i | −0.00981577 | − | 0.0404612i | ||||
\(216\) | −2.07657 | + | 1.33453i | −0.141293 | + | 0.0908034i | ||||
\(217\) | −1.14545 | − | 3.88573i | −0.0777585 | − | 0.263780i | ||||
\(218\) | 2.89098 | − | 6.33036i | 0.195802 | − | 0.428746i | ||||
\(219\) | 14.1429 | − | 1.35048i | 0.955689 | − | 0.0912572i | ||||
\(220\) | −1.39930 | − | 1.10043i | −0.0943411 | − | 0.0741907i | ||||
\(221\) | 0.0554116 | + | 1.16323i | 0.00372739 | + | 0.0782475i | ||||
\(222\) | 1.00891 | + | 4.15877i | 0.0677134 | + | 0.279119i | ||||
\(223\) | 0.672642 | + | 4.67833i | 0.0450434 | + | 0.313284i | 0.999870 | + | 0.0161204i | \(0.00513151\pi\) |
−0.954827 | + | 0.297163i | \(0.903959\pi\) | |||||||
\(224\) | 5.50087 | + | 2.50508i | 0.367543 | + | 0.167378i | ||||
\(225\) | 5.79247 | + | 3.72259i | 0.386165 | + | 0.248173i | ||||
\(226\) | 3.94100 | + | 0.759566i | 0.262152 | + | 0.0505256i | ||||
\(227\) | −4.37284 | + | 18.0251i | −0.290236 | + | 1.19637i | 0.620776 | + | 0.783988i | \(0.286817\pi\) |
−0.911012 | + | 0.412380i | \(0.864698\pi\) | |||||||
\(228\) | −2.96208 | − | 0.282844i | −0.196169 | − | 0.0187318i | ||||
\(229\) | 7.90705 | + | 13.6954i | 0.522512 | + | 0.905018i | 0.999657 | + | 0.0261930i | \(0.00833846\pi\) |
−0.477145 | + | 0.878825i | \(0.658328\pi\) | |||||||
\(230\) | −25.1343 | − | 5.20196i | −1.65731 | − | 0.343007i | ||||
\(231\) | 0.313259 | − | 3.31797i | 0.0206109 | − | 0.218307i | ||||
\(232\) | −2.45415 | − | 5.37384i | −0.161123 | − | 0.352810i | ||||
\(233\) | 3.17795 | + | 3.03017i | 0.208194 | + | 0.198513i | 0.787001 | − | 0.616952i | \(-0.211633\pi\) |
−0.578806 | + | 0.815465i | \(0.696481\pi\) | |||||||
\(234\) | −0.122216 | − | 0.353119i | −0.00798948 | − | 0.0230841i | ||||
\(235\) | 31.7506 | − | 16.3686i | 2.07118 | − | 1.06777i | ||||
\(236\) | −1.79738 | + | 5.19319i | −0.116999 | + | 0.338048i | ||||
\(237\) | −1.83040 | − | 12.7307i | −0.118897 | − | 0.826947i | ||||
\(238\) | 12.3002 | + | 15.6067i | 0.797301 | + | 1.01163i | ||||
\(239\) | −9.69710 | + | 6.23195i | −0.627253 | + | 0.403111i | −0.815292 | − | 0.579050i | \(-0.803423\pi\) |
0.188038 | + | 0.982162i | \(0.439787\pi\) | |||||||
\(240\) | 14.8885 | − | 5.96046i | 0.961049 | − | 0.384746i | ||||
\(241\) | 7.34012 | + | 10.3078i | 0.472819 | + | 0.663981i | 0.980262 | − | 0.197704i | \(-0.0633486\pi\) |
−0.507443 | + | 0.861685i | \(0.669409\pi\) | |||||||
\(242\) | −8.47643 | − | 11.9035i | −0.544885 | − | 0.765184i | ||||
\(243\) | 0.928368 | − | 0.371662i | 0.0595548 | − | 0.0238422i | ||||
\(244\) | 1.50939 | − | 0.970024i | 0.0966286 | − | 0.0620994i | ||||
\(245\) | 20.2739 | − | 13.0904i | 1.29525 | − | 0.836316i | ||||
\(246\) | −1.56357 | − | 10.8748i | −0.0996894 | − | 0.693355i | ||||
\(247\) | −0.571469 | + | 1.65115i | −0.0363617 | + | 0.105060i | ||||
\(248\) | −3.35938 | + | 1.73188i | −0.213321 | + | 0.109975i | ||||
\(249\) | −5.90796 | − | 17.0699i | −0.374402 | − | 1.08176i | ||||
\(250\) | −7.30334 | − | 6.96372i | −0.461904 | − | 0.440424i | ||||
\(251\) | 5.88119 | + | 12.8780i | 0.371217 | + | 0.812853i | 0.999395 | + | 0.0347825i | \(0.0110739\pi\) |
−0.628178 | + | 0.778070i | \(0.716199\pi\) | |||||||
\(252\) | −0.884118 | − | 0.628158i | −0.0556942 | − | 0.0395703i | ||||
\(253\) | 5.33114 | + | 2.84141i | 0.335166 | + | 0.178638i | ||||
\(254\) | 5.37809 | + | 9.31512i | 0.337451 | + | 0.584483i | ||||
\(255\) | 16.6039 | + | 1.58548i | 1.03978 | + | 0.0992866i | ||||
\(256\) | 2.22864 | − | 9.18659i | 0.139290 | − | 0.574162i | ||||
\(257\) | −30.2004 | − | 5.82065i | −1.88385 | − | 0.363082i | −0.888456 | − | 0.458962i | \(-0.848221\pi\) |
−0.995393 | + | 0.0958796i | \(0.969434\pi\) | |||||||
\(258\) | 0.231257 | + | 0.148620i | 0.0143974 | + | 0.00925267i | ||||
\(259\) | 5.93653 | − | 4.23693i | 0.368878 | − | 0.263270i | ||||
\(260\) | 0.0484113 | + | 0.336708i | 0.00300234 | + | 0.0208817i | ||||
\(261\) | 0.564245 | + | 2.32585i | 0.0349259 | + | 0.143966i | ||||
\(262\) | −1.56815 | − | 32.9195i | −0.0968806 | − | 2.03377i | ||||
\(263\) | −2.38806 | − | 1.87799i | −0.147254 | − | 0.115802i | 0.541814 | − | 0.840498i | \(-0.317738\pi\) |
−0.689068 | + | 0.724696i | \(0.741980\pi\) | |||||||
\(264\) | −3.09528 | + | 0.295563i | −0.190501 | + | 0.0181907i | ||||
\(265\) | 9.10400 | − | 19.9350i | 0.559254 | − | 1.22460i | ||||
\(266\) | 8.43002 | + | 28.5972i | 0.516878 | + | 1.75341i | ||||
\(267\) | −13.1837 | + | 8.47262i | −0.806827 | + | 0.518516i | ||||
\(268\) | 0.109568 | + | 0.451646i | 0.00669294 | + | 0.0275887i | ||||
\(269\) | 10.9798 | + | 4.39566i | 0.669452 | + | 0.268008i | 0.681390 | − | 0.731921i | \(-0.261376\pi\) |
−0.0119379 | + | 0.999929i | \(0.503800\pi\) | |||||||
\(270\) | −5.25522 | + | 1.01286i | −0.319822 | + | 0.0616407i | ||||
\(271\) | 1.48720 | − | 31.2203i | 0.0903412 | − | 1.89650i | −0.268775 | − | 0.963203i | \(-0.586619\pi\) |
0.359116 | − | 0.933293i | \(-0.383078\pi\) | |||||||
\(272\) | 14.7381 | − | 17.0087i | 0.893631 | − | 1.03130i | ||||
\(273\) | −0.480853 | + | 0.417560i | −0.0291025 | + | 0.0252719i | ||||
\(274\) | 1.72806 | + | 3.78391i | 0.104396 | + | 0.228595i | ||||
\(275\) | 4.33668 | + | 7.51136i | 0.261512 | + | 0.452952i | ||||
\(276\) | 1.66822 | − | 1.04012i | 0.100415 | − | 0.0626079i | ||||
\(277\) | −9.98081 | + | 17.2873i | −0.599689 | + | 1.03869i | 0.393178 | + | 0.919462i | \(0.371376\pi\) |
−0.992867 | + | 0.119229i | \(0.961958\pi\) | |||||||
\(278\) | −12.5608 | + | 17.6391i | −0.753345 | + | 1.05792i | ||||
\(279\) | 1.46913 | − | 0.431375i | 0.0879544 | − | 0.0258257i | ||||
\(280\) | −15.5547 | − | 16.2785i | −0.929572 | − | 0.972829i | ||||
\(281\) | 4.28744 | + | 2.75537i | 0.255767 | + | 0.164372i | 0.662241 | − | 0.749291i | \(-0.269605\pi\) |
−0.406474 | + | 0.913662i | \(0.633242\pi\) | |||||||
\(282\) | −5.26091 | + | 15.2004i | −0.313283 | + | 0.905171i | ||||
\(283\) | −0.0283225 | − | 0.0113386i | −0.00168360 | − | 0.000674012i | 0.370821 | − | 0.928705i | \(-0.379077\pi\) |
−0.372504 | + | 0.928031i | \(0.621501\pi\) | |||||||
\(284\) | −3.74488 | + | 3.57073i | −0.222218 | + | 0.211884i | ||||
\(285\) | 22.2432 | + | 11.4672i | 1.31758 | + | 0.679257i | ||||
\(286\) | 0.0669868 | − | 0.465904i | 0.00396101 | − | 0.0275495i | ||||
\(287\) | −16.2060 | + | 9.37961i | −0.956612 | + | 0.553661i | ||||
\(288\) | −0.949048 | + | 2.07812i | −0.0559232 | + | 0.122455i | ||||
\(289\) | 5.94796 | − | 2.38120i | 0.349880 | − | 0.140071i | ||||
\(290\) | −0.609469 | − | 12.7943i | −0.0357893 | − | 0.751309i | ||||
\(291\) | 4.24262 | − | 4.04533i | 0.248707 | − | 0.237142i | ||||
\(292\) | 4.57785 | − | 3.60006i | 0.267898 | − | 0.210678i | ||||
\(293\) | 6.50042 | + | 7.50188i | 0.379758 | + | 0.438265i | 0.913162 | − | 0.407596i | \(-0.133633\pi\) |
−0.533404 | + | 0.845861i | \(0.679087\pi\) | |||||||
\(294\) | −2.53941 | + | 10.5659i | −0.148101 | + | 0.616214i | ||||
\(295\) | 30.2663 | − | 34.9292i | 1.76217 | − | 2.03366i | ||||
\(296\) | −4.92471 | − | 4.69570i | −0.286243 | − | 0.272932i | ||||
\(297\) | 1.25395 | + | 0.119738i | 0.0727615 | + | 0.00694788i | ||||
\(298\) | −5.49128 | + | 9.51117i | −0.318101 | + | 0.550968i | ||||
\(299\) | −0.362598 | − | 1.09596i | −0.0209696 | − | 0.0633810i | ||||
\(300\) | 2.82252 | 0.162958 | ||||||||
\(301\) | 0.0881750 | − | 0.460134i | 0.00508232 | − | 0.0265217i | ||||
\(302\) | −18.0289 | + | 5.29378i | −1.03745 | + | 0.304623i | ||||
\(303\) | 6.23188 | + | 1.20110i | 0.358012 | + | 0.0690012i | ||||
\(304\) | 30.0131 | − | 15.4728i | 1.72137 | − | 0.887427i | ||||
\(305\) | −14.8171 | + | 2.85576i | −0.848423 | + | 0.163520i | ||||
\(306\) | −5.90371 | + | 4.64273i | −0.337493 | + | 0.265407i | ||||
\(307\) | −11.3389 | − | 3.32940i | −0.647145 | − | 0.190019i | −0.0583435 | − | 0.998297i | \(-0.518582\pi\) |
−0.588802 | + | 0.808278i | \(0.700400\pi\) | |||||||
\(308\) | −0.627303 | − | 1.21362i | −0.0357439 | − | 0.0691524i | ||||
\(309\) | 1.18420 | − | 8.23632i | 0.0673670 | − | 0.468548i | ||||
\(310\) | −8.15751 | + | 0.778947i | −0.463315 | + | 0.0442412i | ||||
\(311\) | 5.04992 | + | 7.09161i | 0.286354 | + | 0.402129i | 0.932549 | − | 0.361045i | \(-0.117580\pi\) |
−0.646194 | + | 0.763173i | \(0.723640\pi\) | |||||||
\(312\) | 0.467045 | + | 0.367288i | 0.0264412 | + | 0.0207936i | ||||
\(313\) | 3.03721 | + | 1.56579i | 0.171673 | + | 0.0885037i | 0.541921 | − | 0.840429i | \(-0.317697\pi\) |
−0.370248 | + | 0.928933i | \(0.620727\pi\) | |||||||
\(314\) | 2.92837 | + | 0.859848i | 0.165258 | + | 0.0485241i | ||||
\(315\) | 4.93954 | + | 7.66809i | 0.278312 | + | 0.432048i | ||||
\(316\) | −3.45259 | − | 3.98450i | −0.194223 | − | 0.224145i | ||||
\(317\) | −0.481124 | + | 10.1000i | −0.0270226 | + | 0.567274i | 0.944239 | + | 0.329260i | \(0.106799\pi\) |
−0.971262 | + | 0.238014i | \(0.923504\pi\) | |||||||
\(318\) | 3.22760 | + | 9.32555i | 0.180995 | + | 0.522951i | ||||
\(319\) | −0.710752 | + | 2.92976i | −0.0397945 | + | 0.164035i | ||||
\(320\) | −11.5128 | + | 16.1674i | −0.643584 | + | 0.903787i | ||||
\(321\) | −5.94047 | −0.331565 | ||||||||
\(322\) | −15.8998 | − | 11.6273i | −0.886059 | − | 0.647965i | ||||
\(323\) | 35.1188 | 1.95406 | ||||||||
\(324\) | 0.237778 | − | 0.333912i | 0.0132099 | − | 0.0185507i | ||||
\(325\) | 0.390744 | − | 1.61067i | 0.0216746 | − | 0.0893438i | ||||
\(326\) | −5.11679 | − | 14.7840i | −0.283393 | − | 0.818809i | ||||
\(327\) | 0.213306 | − | 4.47785i | 0.0117959 | − | 0.247625i | ||||
\(328\) | 11.4402 | + | 13.2027i | 0.631680 | + | 0.728997i | ||||
\(329\) | 27.3814 | − | 1.33359i | 1.50959 | − | 0.0735234i | ||||
\(330\) | −6.46849 | − | 1.89932i | −0.356079 | − | 0.104554i | ||||
\(331\) | −2.72269 | − | 1.40364i | −0.149653 | − | 0.0771513i | 0.381774 | − | 0.924256i | \(-0.375313\pi\) |
−0.531426 | + | 0.847105i | \(0.678344\pi\) | |||||||
\(332\) | −5.82038 | − | 4.57720i | −0.319435 | − | 0.251207i | ||||
\(333\) | 1.59901 | + | 2.24550i | 0.0876255 | + | 0.123053i | ||||
\(334\) | 1.60684 | − | 0.153434i | 0.0879222 | − | 0.00839555i | ||||
\(335\) | 0.556256 | − | 3.86885i | 0.0303915 | − | 0.211378i | ||||
\(336\) | 12.2942 | + | 0.572510i | 0.670704 | + | 0.0312330i | ||||
\(337\) | −25.0699 | − | 7.36120i | −1.36565 | − | 0.400990i | −0.484897 | − | 0.874571i | \(-0.661143\pi\) |
−0.880750 | + | 0.473581i | \(0.842961\pi\) | |||||||
\(338\) | 15.7927 | − | 12.4195i | 0.859010 | − | 0.675533i | ||||
\(339\) | 2.53867 | − | 0.489288i | 0.137881 | − | 0.0265745i | ||||
\(340\) | 6.07719 | − | 3.13301i | 0.329582 | − | 0.169911i | ||||
\(341\) | 1.89386 | + | 0.365012i | 0.102558 | + | 0.0197665i | ||||
\(342\) | −10.8121 | + | 3.17472i | −0.584652 | + | 0.171669i | ||||
\(343\) | 18.3232 | − | 2.69432i | 0.989361 | − | 0.145480i | ||||
\(344\) | −0.437106 | −0.0235672 | ||||||||
\(345\) | −16.2763 | + | 2.90658i | −0.876288 | + | 0.156485i | ||||
\(346\) | 9.91964 | − | 17.1813i | 0.533283 | − | 0.923674i | ||||
\(347\) | 7.71417 | + | 0.736614i | 0.414118 | + | 0.0395435i | 0.300036 | − | 0.953928i | \(-0.403001\pi\) |
0.114082 | + | 0.993471i | \(0.463607\pi\) | |||||||
\(348\) | 0.710033 | + | 0.677015i | 0.0380618 | + | 0.0362918i | ||||
\(349\) | 7.39961 | − | 8.53961i | 0.396092 | − | 0.457115i | −0.522314 | − | 0.852753i | \(-0.674931\pi\) |
0.918406 | + | 0.395638i | \(0.129477\pi\) | |||||||
\(350\) | −10.5388 | − | 26.2435i | −0.563322 | − | 1.40277i | ||||
\(351\) | −0.157629 | − | 0.181913i | −0.00841361 | − | 0.00970982i | ||||
\(352\) | −2.26208 | + | 1.77892i | −0.120569 | + | 0.0948168i | ||||
\(353\) | −19.1856 | + | 18.2935i | −1.02115 | + | 0.973664i | −0.999659 | − | 0.0261055i | \(-0.991689\pi\) |
−0.0214897 | + | 0.999769i | \(0.506841\pi\) | |||||||
\(354\) | 0.990250 | + | 20.7879i | 0.0526312 | + | 1.10486i | ||||
\(355\) | 40.4006 | − | 16.1740i | 2.14424 | − | 0.858424i | ||||
\(356\) | −2.66865 | + | 5.84353i | −0.141438 | + | 0.309706i | ||||
\(357\) | 11.0922 | + | 6.38834i | 0.587063 | + | 0.338107i | ||||
\(358\) | −3.28747 | + | 22.8648i | −0.173748 | + | 1.20844i | ||||
\(359\) | −19.6562 | − | 10.1335i | −1.03741 | − | 0.534824i | −0.146602 | − | 0.989196i | \(-0.546834\pi\) |
−0.890812 | + | 0.454372i | \(0.849864\pi\) | |||||||
\(360\) | 6.15897 | − | 5.87257i | 0.324606 | − | 0.309511i | ||||
\(361\) | 31.2775 | + | 12.5216i | 1.64618 | + | 0.659032i | ||||
\(362\) | −6.23338 | + | 18.0102i | −0.327619 | + | 0.946593i | ||||
\(363\) | −7.91895 | − | 5.08920i | −0.415637 | − | 0.267114i | ||||
\(364\) | −0.0732814 | + | 0.250561i | −0.00384099 | + | 0.0131330i | ||||
\(365\) | −46.9959 | + | 13.7993i | −2.45988 | + | 0.722286i | ||||
\(366\) | 3.94135 | − | 5.53486i | 0.206018 | − | 0.289312i | ||||
\(367\) | −16.9000 | + | 29.2717i | −0.882175 | + | 1.52797i | −0.0332574 | + | 0.999447i | \(0.510588\pi\) |
−0.848918 | + | 0.528525i | \(0.822745\pi\) | |||||||
\(368\) | −9.54446 | + | 20.1645i | −0.497539 | + | 1.05115i | ||||
\(369\) | −3.53863 | − | 6.12908i | −0.184214 | − | 0.319067i | ||||
\(370\) | −6.12879 | − | 13.4202i | −0.318620 | − | 0.697682i | ||||
\(371\) | 12.6989 | − | 11.0274i | 0.659294 | − | 0.572513i | ||||
\(372\) | 0.411024 | − | 0.474347i | 0.0213106 | − | 0.0245937i | ||||
\(373\) | −0.914852 | + | 19.2051i | −0.0473692 | + | 0.994402i | 0.842645 | + | 0.538470i | \(0.180997\pi\) |
−0.890014 | + | 0.455933i | \(0.849306\pi\) | |||||||
\(374\) | −9.28975 | + | 1.79045i | −0.480362 | + | 0.0925821i | ||||
\(375\) | −6.03477 | − | 2.41596i | −0.311634 | − | 0.124760i | ||||
\(376\) | −6.02990 | − | 24.8556i | −0.310968 | − | 1.28183i | ||||
\(377\) | 0.484633 | − | 0.311455i | 0.0249599 | − | 0.0160407i | ||||
\(378\) | −3.99250 | − | 0.964064i | −0.205352 | − | 0.0495861i | ||||
\(379\) | 2.10443 | − | 4.60806i | 0.108097 | − | 0.236700i | −0.847851 | − | 0.530234i | \(-0.822104\pi\) |
0.955949 | + | 0.293534i | \(0.0948314\pi\) | |||||||
\(380\) | 10.2119 | − | 0.975117i | 0.523859 | − | 0.0500224i | ||||
\(381\) | 5.44639 | + | 4.28308i | 0.279027 | + | 0.219429i | ||||
\(382\) | 0.391664 | + | 8.22205i | 0.0200393 | + | 0.420676i | ||||
\(383\) | 6.68863 | + | 27.5709i | 0.341773 | + | 1.40881i | 0.840389 | + | 0.541984i | \(0.182327\pi\) |
−0.498616 | + | 0.866823i | \(0.666158\pi\) | |||||||
\(384\) | −1.92216 | − | 13.3689i | −0.0980896 | − | 0.682228i | ||||
\(385\) | 1.10436 | + | 11.4365i | 0.0562833 | + | 0.582859i | ||||
\(386\) | −16.4356 | − | 10.5625i | −0.836551 | − | 0.537619i | ||||
\(387\) | 0.173879 | + | 0.0335124i | 0.00883875 | + | 0.00170353i | ||||
\(388\) | 0.566532 | − | 2.33528i | 0.0287613 | − | 0.118556i | ||||
\(389\) | −7.98854 | − | 0.762813i | −0.405035 | − | 0.0386762i | −0.109449 | − | 0.993992i | \(-0.534909\pi\) |
−0.295586 | + | 0.955316i | \(0.595515\pi\) | |||||||
\(390\) | 0.644121 | + | 1.11565i | 0.0326163 | + | 0.0564932i | ||||
\(391\) | −18.4330 | + | 14.0919i | −0.932198 | + | 0.712660i | ||||
\(392\) | −5.68620 | − | 16.3166i | −0.287197 | − | 0.824111i | ||||
\(393\) | −8.81914 | − | 19.3112i | −0.444867 | − | 0.974122i | ||||
\(394\) | −2.38722 | − | 2.27621i | −0.120267 | − | 0.114674i | ||||
\(395\) | 14.5025 | + | 41.9022i | 0.729699 | + | 2.10833i | ||||
\(396\) | 0.458958 | − | 0.236609i | 0.0230635 | − | 0.0118901i | ||||
\(397\) | −1.05438 | + | 3.04642i | −0.0529176 | + | 0.152895i | −0.968362 | − | 0.249548i | \(-0.919718\pi\) |
0.915445 | + | 0.402444i | \(0.131839\pi\) | |||||||
\(398\) | 0.776350 | + | 5.39963i | 0.0389149 | + | 0.270659i | ||||
\(399\) | 11.8879 | + | 15.0836i | 0.595139 | + | 0.755123i | ||||
\(400\) | −26.9455 | + | 17.3168i | −1.34727 | + | 0.865840i | ||||
\(401\) | −0.202586 | + | 0.0811033i | −0.0101167 | + | 0.00405011i | −0.376715 | − | 0.926329i | \(-0.622946\pi\) |
0.366599 | + | 0.930379i | \(0.380522\pi\) | |||||||
\(402\) | 1.02091 | + | 1.43367i | 0.0509184 | + | 0.0715048i | ||||
\(403\) | −0.213784 | − | 0.300218i | −0.0106493 | − | 0.0149549i | ||||
\(404\) | 2.41524 | − | 0.966915i | 0.120163 | − | 0.0481058i | ||||
\(405\) | −2.90025 | + | 1.86388i | −0.144115 | + | 0.0926169i | ||||
\(406\) | 3.64368 | − | 9.12967i | 0.180833 | − | 0.453098i | ||||
\(407\) | 0.494177 | + | 3.43708i | 0.0244955 | + | 0.170370i | ||||
\(408\) | 3.90598 | − | 11.2856i | 0.193375 | − | 0.558720i | ||||
\(409\) | −11.6266 | + | 5.99393i | −0.574898 | + | 0.296381i | −0.721052 | − | 0.692881i | \(-0.756341\pi\) |
0.146153 | + | 0.989262i | \(0.453311\pi\) | |||||||
\(410\) | 12.3883 | + | 35.7938i | 0.611817 | + | 1.76773i | ||||
\(411\) | 1.93934 | + | 1.84915i | 0.0956604 | + | 0.0912120i | ||||
\(412\) | −1.41696 | − | 3.10272i | −0.0698088 | − | 0.152860i | ||||
\(413\) | 32.2481 | − | 14.7688i | 1.58683 | − | 0.726725i | ||||
\(414\) | 4.40112 | − | 6.00486i | 0.216303 | − | 0.295123i | ||||
\(415\) | 31.1371 | + | 53.9311i | 1.52846 | + | 2.64737i | ||||
\(416\) | 0.547421 | + | 0.0522724i | 0.0268395 | + | 0.00256287i | ||||
\(417\) | −3.28861 | + | 13.5558i | −0.161044 | + | 0.663832i | ||||
\(418\) | −13.9380 | − | 2.68632i | −0.681729 | − | 0.131392i | ||||
\(419\) | −31.4999 | − | 20.2438i | −1.53887 | − | 0.988972i | −0.988013 | − | 0.154374i | \(-0.950664\pi\) |
−0.550858 | − | 0.834599i | \(-0.685700\pi\) | |||||||
\(420\) | 3.40279 | + | 1.54962i | 0.166039 | + | 0.0756138i | ||||
\(421\) | 0.495773 | + | 3.44818i | 0.0241625 | + | 0.168054i | 0.998330 | − | 0.0577742i | \(-0.0184003\pi\) |
−0.974167 | + | 0.225828i | \(0.927491\pi\) | |||||||
\(422\) | −2.18805 | − | 9.01925i | −0.106512 | − | 0.439050i | ||||
\(423\) | 0.493019 | + | 10.3497i | 0.0239714 | + | 0.503221i | ||||
\(424\) | −12.3342 | − | 9.69976i | −0.599004 | − | 0.471062i | ||||
\(425\) | −33.1618 | + | 3.16657i | −1.60858 | + | 0.153601i | ||||
\(426\) | −8.14033 | + | 17.8248i | −0.394400 | + | 0.863616i | ||||
\(427\) | −11.2568 | − | 2.71818i | −0.544757 | − | 0.131542i | ||||
\(428\) | −2.04856 | + | 1.31653i | −0.0990208 | + | 0.0636368i | ||||
\(429\) | −0.0714835 | − | 0.294659i | −0.00345126 | − | 0.0142263i | ||||
\(430\) | −0.879827 | − | 0.352230i | −0.0424290 | − | 0.0169860i | ||||
\(431\) | 32.4875 | − | 6.26144i | 1.56487 | − | 0.301603i | 0.668087 | − | 0.744083i | \(-0.267113\pi\) |
0.896778 | + | 0.442480i | \(0.145901\pi\) | |||||||
\(432\) | −0.221342 | + | 4.64654i | −0.0106493 | + | 0.223557i | ||||
\(433\) | −9.24130 | + | 10.6650i | −0.444108 | + | 0.512528i | −0.933030 | − | 0.359799i | \(-0.882845\pi\) |
0.488921 | + | 0.872328i | \(0.337391\pi\) | |||||||
\(434\) | −5.94512 | − | 2.05053i | −0.285375 | − | 0.0984286i | ||||
\(435\) | −3.42760 | − | 7.50541i | −0.164341 | − | 0.359857i | ||||
\(436\) | −0.918823 | − | 1.59145i | −0.0440036 | − | 0.0762165i | ||||
\(437\) | −33.5331 | + | 9.34970i | −1.60411 | + | 0.447257i | ||||
\(438\) | 11.0276 | − | 19.1004i | 0.526919 | − | 0.912650i | ||||
\(439\) | −13.9590 | + | 19.6027i | −0.666226 | + | 0.935584i | −0.999975 | − | 0.00707807i | \(-0.997747\pi\) |
0.333749 | + | 0.942662i | \(0.391686\pi\) | |||||||
\(440\) | 10.2854 | − | 3.02007i | 0.490338 | − | 0.143976i | ||||
\(441\) | 1.01097 | + | 6.92661i | 0.0481416 | + | 0.329839i | ||||
\(442\) | 1.52085 | + | 0.977393i | 0.0723396 | + | 0.0464898i | ||||
\(443\) | −4.86972 | + | 14.0701i | −0.231367 | + | 0.668492i | 0.768232 | + | 0.640172i | \(0.221137\pi\) |
−0.999599 | + | 0.0283199i | \(0.990984\pi\) | |||||||
\(444\) | 1.04906 | + | 0.419982i | 0.0497864 | + | 0.0199315i | ||||
\(445\) | 39.1018 | − | 37.2835i | 1.85360 | − | 1.76741i | ||||
\(446\) | 6.52163 | + | 3.36214i | 0.308808 | + | 0.159202i | ||||
\(447\) | −1.00682 | + | 7.00259i | −0.0476210 | + | 0.331211i | ||||
\(448\) | −13.1829 | + | 7.62993i | −0.622836 | + | 0.360480i | ||||
\(449\) | 11.6746 | − | 25.5638i | 0.550958 | − | 1.20643i | −0.405374 | − | 0.914151i | \(-0.632859\pi\) |
0.956333 | − | 0.292280i | \(-0.0944139\pi\) | |||||||
\(450\) | 9.92335 | − | 3.97271i | 0.467791 | − | 0.187275i | ||||
\(451\) | −0.424187 | − | 8.90479i | −0.0199742 | − | 0.419310i | ||||
\(452\) | 0.767017 | − | 0.731349i | 0.0360774 | − | 0.0343998i | ||||
\(453\) | −9.51435 | + | 7.48216i | −0.447023 | + | 0.351543i | ||||
\(454\) | 18.8558 | + | 21.7608i | 0.884948 | + | 1.02128i | ||||
\(455\) | 1.35536 | − | 1.72727i | 0.0635405 | − | 0.0809758i | ||||
\(456\) | 11.7337 | − | 13.5415i | 0.549483 | − | 0.634137i | ||||
\(457\) | −25.9185 | − | 24.7132i | −1.21241 | − | 1.15604i | −0.983175 | − | 0.182665i | \(-0.941528\pi\) |
−0.229240 | − | 0.973370i | \(-0.573624\pi\) | |||||||
\(458\) | 24.4385 | + | 2.33359i | 1.14194 | + | 0.109042i | ||||
\(459\) | −2.41903 | + | 4.18989i | −0.112911 | + | 0.195567i | ||||
\(460\) | −4.96870 | + | 4.60949i | −0.231667 | + | 0.214918i | ||||
\(461\) | −27.4805 | −1.27989 | −0.639946 | − | 0.768420i | \(-0.721043\pi\) | ||||
−0.639946 | + | 0.768420i | \(0.721043\pi\) | |||||||
\(462\) | −3.91363 | − | 3.38388i | −0.182079 | − | 0.157433i | ||||
\(463\) | −2.12086 | + | 0.622739i | −0.0985645 | + | 0.0289412i | −0.330643 | − | 0.943756i | \(-0.607266\pi\) |
0.232078 | + | 0.972697i | \(0.425447\pi\) | |||||||
\(464\) | −10.9320 | − | 2.10698i | −0.507507 | − | 0.0978139i | ||||
\(465\) | −4.69190 | + | 2.41884i | −0.217581 | + | 0.112171i | ||||
\(466\) | 6.69344 | − | 1.29005i | 0.310068 | − | 0.0597606i | ||||
\(467\) | 6.86332 | − | 5.39738i | 0.317597 | − | 0.249761i | −0.446615 | − | 0.894726i | \(-0.647371\pi\) |
0.764212 | + | 0.644965i | \(0.223128\pi\) | |||||||
\(468\) | −0.0946737 | − | 0.0277987i | −0.00437629 | − | 0.00128500i | ||||
\(469\) | 1.61902 | − | 2.52516i | 0.0747594 | − | 0.116601i | ||||
\(470\) | 7.89191 | − | 54.8895i | 0.364027 | − | 2.53186i | ||||
\(471\) | 1.95710 | − | 0.186880i | 0.0901783 | − | 0.00861098i | ||||
\(472\) | −19.1952 | − | 26.9558i | −0.883529 | − | 1.24074i | ||||
\(473\) | 0.175335 | + | 0.137885i | 0.00806192 | + | 0.00633997i | ||||
\(474\) | −17.7467 | − | 9.14907i | −0.815134 | − | 0.420231i | ||||
\(475\) | −47.9564 | − | 14.0813i | −2.20039 | − | 0.646092i | ||||
\(476\) | 5.24091 | − | 0.255255i | 0.240217 | − | 0.0116996i | ||||
\(477\) | 4.16284 | + | 4.80417i | 0.190603 | + | 0.219968i | ||||
\(478\) | −0.851449 | + | 17.8741i | −0.0389444 | + | 0.817543i | ||||
\(479\) | −8.16086 | − | 23.5793i | −0.372879 | − | 1.07736i | −0.962873 | − | 0.269956i | \(-0.912991\pi\) |
0.589993 | − | 0.807408i | \(-0.299130\pi\) | |||||||
\(480\) | 1.85688 | − | 7.65415i | 0.0847544 | − | 0.349363i | ||||
\(481\) | 0.384892 | − | 0.540506i | 0.0175496 | − | 0.0246449i | ||||
\(482\) | 19.6442 | 0.894768 | ||||||||
\(483\) | −12.2922 | − | 3.14681i | −0.559313 | − | 0.143185i | ||||
\(484\) | −3.85870 | −0.175395 | ||||||||
\(485\) | −11.7229 | + | 16.4625i | −0.532310 | + | 0.747525i | ||||
\(486\) | 0.365990 | − | 1.50863i | 0.0166017 | − | 0.0684330i | ||||
\(487\) | −13.2411 | − | 38.2576i | −0.600011 | − | 1.73362i | −0.676394 | − | 0.736540i | \(-0.736458\pi\) |
0.0763830 | − | 0.997079i | \(-0.475663\pi\) | |||||||
\(488\) | −0.514085 | + | 10.7920i | −0.0232716 | + | 0.488530i | ||||
\(489\) | −6.59944 | − | 7.61616i | −0.298437 | − | 0.344414i | ||||
\(490\) | 1.70280 | − | 37.4248i | 0.0769247 | − | 1.69068i | ||||
\(491\) | 31.1881 | + | 9.15766i | 1.40750 | + | 0.413279i | 0.895253 | − | 0.445558i | \(-0.146995\pi\) |
0.512248 | + | 0.858838i | \(0.328813\pi\) | |||||||
\(492\) | −2.57862 | − | 1.32937i | −0.116253 | − | 0.0599326i | ||||
\(493\) | −9.10171 | − | 7.15767i | −0.409920 | − | 0.322365i | ||||
\(494\) | 1.57335 | + | 2.20947i | 0.0707886 | + | 0.0994086i | ||||
\(495\) | −4.32304 | + | 0.412800i | −0.194306 | + | 0.0185540i | ||||
\(496\) | −1.01365 | + | 7.05012i | −0.0455144 | + | 0.316560i | ||||
\(497\) | 33.3608 | + | 1.55353i | 1.49644 | + | 0.0696854i | ||||
\(498\) | −26.9056 | − | 7.90020i | −1.20567 | − | 0.354016i | ||||
\(499\) | 32.1327 | − | 25.2695i | 1.43846 | − | 1.13122i | 0.469815 | − | 0.882765i | \(-0.344321\pi\) |
0.968644 | − | 0.248452i | \(-0.0799217\pi\) | |||||||
\(500\) | −2.61650 | + | 0.504290i | −0.117014 | + | 0.0225525i | ||||
\(501\) | 0.924193 | − | 0.476455i | 0.0412899 | − | 0.0212864i | ||||
\(502\) | 21.5806 | + | 4.15933i | 0.963191 | + | 0.185640i | ||||
\(503\) | −15.0701 | + | 4.42499i | −0.671943 | + | 0.197300i | −0.599868 | − | 0.800099i | \(-0.704780\pi\) |
−0.0720752 | + | 0.997399i | \(0.522962\pi\) | |||||||
\(504\) | 6.16937 | − | 2.14261i | 0.274806 | − | 0.0954393i | ||||
\(505\) | −21.8801 | −0.973650 | ||||||||
\(506\) | 8.39364 | − | 4.18283i | 0.373143 | − | 0.185950i | ||||
\(507\) | 6.47103 | − | 11.2082i | 0.287389 | − | 0.497772i | ||||
\(508\) | 2.82739 | + | 0.269983i | 0.125445 | + | 0.0119786i | ||||
\(509\) | −14.5500 | − | 13.8734i | −0.644919 | − | 0.614929i | 0.295338 | − | 0.955393i | \(-0.404568\pi\) |
−0.940258 | + | 0.340463i | \(0.889416\pi\) | |||||||
\(510\) | 16.9563 | − | 19.5686i | 0.750838 | − | 0.866513i | ||||
\(511\) | −37.2119 | − | 5.30978i | −1.64616 | − | 0.234891i | ||||
\(512\) | 8.07959 | + | 9.32434i | 0.357071 | + | 0.412082i | ||||
\(513\) | −5.70584 | + | 4.48712i | −0.251919 | + | 0.198111i | ||||
\(514\) | −34.5552 | + | 32.9483i | −1.52416 | + | 1.45329i | ||||
\(515\) | 1.36498 | + | 28.6545i | 0.0601484 | + | 1.26267i | ||||
\(516\) | 0.0673887 | − | 0.0269784i | 0.00296662 | − | 0.00118766i | ||||
\(517\) | −5.42194 | + | 11.8724i | −0.238457 | + | 0.522147i | ||||
\(518\) | −0.0120695 | − | 11.3222i | −0.000530302 | − | 0.497470i | ||||
\(519\) | 1.81876 | − | 12.6497i | 0.0798346 | − | 0.555262i | ||||
\(520\) | −1.82070 | − | 0.938634i | −0.0798428 | − | 0.0411618i | ||||
\(521\) | −7.97212 | + | 7.60140i | −0.349265 | + | 0.333023i | −0.844321 | − | 0.535838i | \(-0.819996\pi\) |
0.495056 | + | 0.868861i | \(0.335147\pi\) | |||||||
\(522\) | 3.44922 | + | 1.38086i | 0.150968 | + | 0.0604386i | ||||
\(523\) | 1.95890 | − | 5.65986i | 0.0856566 | − | 0.247489i | −0.894036 | − | 0.447996i | \(-0.852138\pi\) |
0.979692 | + | 0.200507i | \(0.0642591\pi\) | |||||||
\(524\) | −7.32102 | − | 4.70493i | −0.319820 | − | 0.205536i | ||||
\(525\) | −12.5855 | − | 13.1711i | −0.549275 | − | 0.574835i | ||||
\(526\) | −4.52519 | + | 1.32872i | −0.197308 | + | 0.0579348i | ||||
\(527\) | −4.29695 | + | 6.03422i | −0.187178 | + | 0.262855i | ||||
\(528\) | −2.92983 | + | 5.07462i | −0.127505 | + | 0.220844i | ||||
\(529\) | 13.8490 | − | 18.3631i | 0.602133 | − | 0.798396i | ||||
\(530\) | −17.0107 | − | 29.4633i | −0.738896 | − | 1.27981i | ||||
\(531\) | 5.56908 | + | 12.1946i | 0.241678 | + | 0.529200i | ||||
\(532\) | 7.44233 | + | 2.56694i | 0.322666 | + | 0.111291i | ||||
\(533\) | −1.11558 | + | 1.28745i | −0.0483211 | + | 0.0557656i | ||||
\(534\) | −1.15758 | + | 24.3007i | −0.0500935 | + | 1.05159i | ||||
\(535\) | 20.1099 | − | 3.87587i | 0.869427 | − | 0.167568i | ||||
\(536\) | −2.59810 | − | 1.04012i | −0.112221 | − | 0.0449264i | ||||
\(537\) | 3.50815 | + | 14.4608i | 0.151388 | + | 0.624029i | ||||
\(538\) | 15.4456 | − | 9.92626i | 0.665906 | − | 0.427952i | ||||
\(539\) | −2.86617 | + | 8.33874i | −0.123455 | + | 0.359175i | ||||
\(540\) | −0.587072 | + | 1.28551i | −0.0252636 | + | 0.0553195i | ||||
\(541\) | −28.9180 | + | 2.76133i | −1.24328 | + | 0.118719i | −0.695885 | − | 0.718154i | \(-0.744987\pi\) |
−0.547398 | + | 0.836873i | \(0.684381\pi\) | |||||||
\(542\) | −38.1401 | − | 29.9937i | −1.63826 | − | 1.28834i | ||||
\(543\) | 0.584152 | + | 12.2629i | 0.0250684 | + | 0.526250i | ||||
\(544\) | −2.60583 | − | 10.7414i | −0.111724 | − | 0.460533i | ||||
\(545\) | 2.19948 | + | 15.2977i | 0.0942155 | + | 0.655283i | ||||
\(546\) | 0.0950251 | + | 0.984061i | 0.00406670 | + | 0.0421139i | ||||
\(547\) | 30.4423 | + | 19.5641i | 1.30162 | + | 0.836499i | 0.993387 | − | 0.114812i | \(-0.0366266\pi\) |
0.308231 | + | 0.951311i | \(0.400263\pi\) | |||||||
\(548\) | 1.07858 | + | 0.207880i | 0.0460749 | + | 0.00888020i | ||||
\(549\) | 1.03191 | − | 4.25359i | 0.0440408 | − | 0.181539i | ||||
\(550\) | 13.4035 | + | 1.27988i | 0.571527 | + | 0.0545742i | ||||
\(551\) | −8.68634 | − | 15.0452i | −0.370050 | − | 0.640946i | ||||
\(552\) | −0.725051 | + | 11.8159i | −0.0308602 | + | 0.502919i | ||||
\(553\) | −3.19851 | + | 33.8780i | −0.136015 | + | 1.44064i | ||||
\(554\) | 12.8730 | + | 28.1879i | 0.546921 | + | 1.19759i | ||||
\(555\) | −6.87812 | − | 6.55828i | −0.291960 | − | 0.278383i | ||||
\(556\) | 1.87018 | + | 5.40352i | 0.0793132 | + | 0.229160i | ||||
\(557\) | −5.72198 | + | 2.94988i | −0.242448 | + | 0.124991i | −0.575169 | − | 0.818035i | \(-0.695064\pi\) |
0.332721 | + | 0.943025i | \(0.392033\pi\) | |||||||
\(558\) | 0.777423 | − | 2.24622i | 0.0329109 | − | 0.0950899i | ||||
\(559\) | −0.00606602 | − | 0.0421901i | −0.000256565 | − | 0.00178445i | ||||
\(560\) | −41.9923 | + | 6.08328i | −1.77450 | + | 0.257066i | ||||
\(561\) | −5.12684 | + | 3.29482i | −0.216455 | + | 0.139107i | ||||
\(562\) | 7.34501 | − | 2.94050i | 0.309831 | − | 0.124037i | ||||
\(563\) | 3.33816 | + | 4.68779i | 0.140687 | + | 0.197567i | 0.878907 | − | 0.476992i | \(-0.158273\pi\) |
−0.738221 | + | 0.674559i | \(0.764334\pi\) | |||||||
\(564\) | 2.46373 | + | 3.45982i | 0.103742 | + | 0.145685i | ||||
\(565\) | −8.27475 | + | 3.31271i | −0.348121 | + | 0.139367i | ||||
\(566\) | −0.0398419 | + | 0.0256048i | −0.00167468 | + | 0.00107625i | ||||
\(567\) | −2.61842 | + | 0.379321i | −0.109963 | + | 0.0159300i | ||||
\(568\) | −4.43434 | − | 30.8415i | −0.186061 | − | 1.29408i | ||||
\(569\) | −1.16525 | + | 3.36676i | −0.0488497 | + | 0.141142i | −0.966787 | − | 0.255584i | \(-0.917732\pi\) |
0.917937 | + | 0.396726i | \(0.129854\pi\) | |||||||
\(570\) | 34.5302 | − | 17.8016i | 1.44631 | − | 0.745626i | ||||
\(571\) | 9.90462 | + | 28.6175i | 0.414496 | + | 1.19761i | 0.938316 | + | 0.345778i | \(0.112385\pi\) |
−0.523821 | + | 0.851828i | \(0.675494\pi\) | |||||||
\(572\) | −0.0899533 | − | 0.0857703i | −0.00376114 | − | 0.00358624i | ||||
\(573\) | 2.20269 | + | 4.82321i | 0.0920186 | + | 0.201493i | ||||
\(574\) | −2.73224 | + | 28.9393i | −0.114042 | + | 1.20790i | ||||
\(575\) | 30.8215 | − | 11.8523i | 1.28534 | − | 0.494274i | ||||
\(576\) | −2.87853 | − | 4.98576i | −0.119939 | − | 0.207740i | ||||
\(577\) | −32.6668 | − | 3.11930i | −1.35994 | − | 0.129858i | −0.610542 | − | 0.791984i | \(-0.709049\pi\) |
−0.749393 | + | 0.662126i | \(0.769655\pi\) | |||||||
\(578\) | 2.34486 | − | 9.66565i | 0.0975334 | − | 0.402038i | ||||
\(579\) | −12.3577 | − | 2.38175i | −0.513569 | − | 0.0989823i | ||||
\(580\) | −2.84535 | − | 1.82860i | −0.118147 | − | 0.0759283i | ||||
\(581\) | 4.59356 | + | 47.5700i | 0.190573 | + | 1.97354i | ||||
\(582\) | −1.29511 | − | 9.00770i | −0.0536841 | − | 0.373381i | ||||
\(583\) | 1.88782 | + | 7.78169i | 0.0781854 | + | 0.322284i | ||||
\(584\) | 1.66867 | + | 35.0298i | 0.0690502 | + | 1.44954i | ||||
\(585\) | 0.652301 | + | 0.512975i | 0.0269693 | + | 0.0212089i | ||||
\(586\) | 15.3399 | − | 1.46478i | 0.633686 | − | 0.0605097i | ||||
\(587\) | 0.166588 | − | 0.364777i | 0.00687583 | − | 0.0150560i | −0.906163 | − | 0.422929i | \(-0.861002\pi\) |
0.913039 | + | 0.407873i | \(0.133729\pi\) | |||||||
\(588\) | 1.88371 | + | 2.16457i | 0.0776828 | + | 0.0892655i | ||||
\(589\) | −9.35001 | + | 6.00889i | −0.385261 | + | 0.247592i | ||||
\(590\) | −16.9153 | − | 69.7259i | −0.696392 | − | 2.87057i | ||||
\(591\) | −1.97257 | − | 0.789698i | −0.0811407 | − | 0.0324839i | ||||
\(592\) | −12.5917 | + | 2.42685i | −0.517515 | + | 0.0997428i | ||||
\(593\) | −0.566882 | + | 11.9003i | −0.0232791 | + | 0.488688i | 0.956881 | + | 0.290480i | \(0.0938150\pi\) |
−0.980160 | + | 0.198207i | \(0.936488\pi\) | |||||||
\(594\) | 1.28056 | − | 1.47785i | 0.0525422 | − | 0.0606369i | ||||
\(595\) | −41.7179 | − | 14.3889i | −1.71027 | − | 0.589888i | ||||
\(596\) | 1.20472 | + | 2.63796i | 0.0493471 | + | 0.108055i | ||||
\(597\) | 1.75702 | + | 3.04324i | 0.0719099 | + | 0.124552i | ||||
\(598\) | −1.71240 | − | 0.528365i | −0.0700252 | − | 0.0216065i | ||||
\(599\) | 6.09877 | − | 10.5634i | 0.249189 | − | 0.431608i | −0.714112 | − | 0.700032i | \(-0.753169\pi\) |
0.963301 | + | 0.268423i | \(0.0865026\pi\) | |||||||
\(600\) | −9.85888 | + | 13.8449i | −0.402487 | + | 0.565214i | ||||
\(601\) | 34.3900 | − | 10.0978i | 1.40280 | − | 0.411899i | 0.509155 | − | 0.860675i | \(-0.329958\pi\) |
0.893644 | + | 0.448776i | \(0.148140\pi\) | |||||||
\(602\) | −0.502459 | − | 0.525841i | −0.0204787 | − | 0.0214317i | ||||
\(603\) | 0.953767 | + | 0.612949i | 0.0388404 | + | 0.0249612i | ||||
\(604\) | −1.62280 | + | 4.68878i | −0.0660309 | + | 0.190784i | ||||
\(605\) | 30.1280 | + | 12.0614i | 1.22488 | + | 0.490367i | ||||
\(606\) | 7.13050 | − | 6.79892i | 0.289657 | − | 0.276187i | ||||
\(607\) | 32.8836 | + | 16.9527i | 1.33470 | + | 0.688088i | 0.970016 | − | 0.243041i | \(-0.0781450\pi\) |
0.364689 | + | 0.931129i | \(0.381175\pi\) | |||||||
\(608\) | 2.36006 | − | 16.4146i | 0.0957132 | − | 0.665700i | ||||
\(609\) | −0.00675000 | − | 6.33210i | −0.000273524 | − | 0.256590i | ||||
\(610\) | −9.73119 | + | 21.3083i | −0.394004 | + | 0.862749i | ||||
\(611\) | 2.31541 | − | 0.926952i | 0.0936716 | − | 0.0375005i | ||||
\(612\) | 0.0943657 | + | 1.98098i | 0.00381451 | + | 0.0800764i | ||||
\(613\) | 1.80679 | − | 1.72277i | 0.0729754 | − | 0.0695819i | −0.652714 | − | 0.757605i | \(-0.726370\pi\) |
0.725689 | + | 0.688023i | \(0.241521\pi\) | |||||||
\(614\) | −14.4206 | + | 11.3405i | −0.581967 | + | 0.457664i | ||||
\(615\) | 15.9780 | + | 18.4396i | 0.644296 | + | 0.743557i | ||||
\(616\) | 8.14410 | + | 1.16209i | 0.328135 | + | 0.0468217i | ||||
\(617\) | −27.0851 | + | 31.2578i | −1.09040 | + | 1.25839i | −0.126550 | + | 0.991960i | \(0.540390\pi\) |
−0.963853 | + | 0.266433i | \(0.914155\pi\) | |||||||
\(618\) | −9.34882 | − | 8.91408i | −0.376065 | − | 0.358577i | ||||
\(619\) | −40.3710 | − | 3.85496i | −1.62265 | − | 0.154944i | −0.756244 | − | 0.654289i | \(-0.772968\pi\) |
−0.866403 | + | 0.499345i | \(0.833574\pi\) | |||||||
\(620\) | −1.08193 | + | 1.87395i | −0.0434512 | + | 0.0752596i | ||||
\(621\) | 1.19434 | − | 4.64473i | 0.0479270 | − | 0.186387i | ||||
\(622\) | 13.5150 | 0.541901 | ||||||||
\(623\) | 39.1679 | − | 13.6029i | 1.56923 | − | 0.544989i | ||||
\(624\) | 1.07436 | − | 0.315461i | 0.0430089 | − | 0.0126285i | ||||
\(625\) | −11.8000 | − | 2.27427i | −0.472001 | − | 0.0909707i | ||||
\(626\) | 4.71494 | − | 2.43072i | 0.188447 | − | 0.0971511i | ||||
\(627\) | −8.97839 | + | 1.73044i | −0.358562 | + | 0.0691072i | ||||
\(628\) | 0.633484 | − | 0.498177i | 0.0252788 | − | 0.0198794i | ||||
\(629\) | −12.7966 | − | 3.75743i | −0.510235 | − | 0.149819i | ||||
\(630\) | 14.1446 | + | 0.658677i | 0.563532 | + | 0.0262423i | ||||
\(631\) | 0.00438720 | − | 0.0305136i | 0.000174652 | − | 0.00121473i | −0.989734 | − | 0.142922i | \(-0.954350\pi\) |
0.989909 | + | 0.141707i | \(0.0452592\pi\) | |||||||
\(632\) | 31.6042 | − | 3.01783i | 1.25715 | − | 0.120043i | ||||
\(633\) | −3.46783 | − | 4.86988i | −0.137834 | − | 0.193560i | ||||
\(634\) | 12.3387 | + | 9.70324i | 0.490031 | + | 0.385365i | ||||
\(635\) | −21.2318 | − | 10.9458i | −0.842559 | − | 0.434369i | ||||
\(636\) | 2.50025 | + | 0.734139i | 0.0991412 | + | 0.0291105i | ||||
\(637\) | 1.49599 | − | 0.775276i | 0.0592732 | − | 0.0307176i | ||||
\(638\) | 3.06479 | + | 3.53695i | 0.121336 | + | 0.140029i | ||||
\(639\) | −0.600621 | + | 12.6086i | −0.0237602 | + | 0.498788i | ||||
\(640\) | 15.2295 | + | 44.0027i | 0.601999 | + | 1.73936i | ||||
\(641\) | 7.66362 | − | 31.5899i | 0.302695 | − | 1.24773i | −0.593779 | − | 0.804628i | \(-0.702365\pi\) |
0.896474 | − | 0.443097i | \(-0.146120\pi\) | |||||||
\(642\) | −5.34925 | + | 7.51197i | −0.211118 | + | 0.296474i | ||||
\(643\) | 2.38114 | 0.0939028 | 0.0469514 | − | 0.998897i | \(-0.485049\pi\) | ||||
0.0469514 | + | 0.998897i | \(0.485049\pi\) | |||||||
\(644\) | −4.93632 | + | 1.63902i | −0.194518 | + | 0.0645865i | ||||
\(645\) | −0.610486 | −0.0240379 | ||||||||
\(646\) | 31.6236 | − | 44.4091i | 1.24421 | − | 1.74725i | ||||
\(647\) | 4.52773 | − | 18.6636i | 0.178003 | − | 0.733740i | −0.810901 | − | 0.585184i | \(-0.801022\pi\) |
0.988904 | − | 0.148556i | \(-0.0474626\pi\) | |||||||
\(648\) | 0.807343 | + | 2.33266i | 0.0317154 | + | 0.0916357i | ||||
\(649\) | −0.803515 | + | 16.8679i | −0.0315407 | + | 0.662122i | ||||
\(650\) | −1.68490 | − | 1.94448i | −0.0660872 | − | 0.0762687i | ||||
\(651\) | −4.04625 | + | 0.197070i | −0.158585 | + | 0.00772377i | ||||
\(652\) | −3.96369 | − | 1.16385i | −0.155230 | − | 0.0455797i | ||||
\(653\) | 16.5820 | + | 8.54860i | 0.648903 | + | 0.334533i | 0.751058 | − | 0.660236i | \(-0.229544\pi\) |
−0.102156 | + | 0.994768i | \(0.532574\pi\) | |||||||
\(654\) | −5.47035 | − | 4.30193i | −0.213907 | − | 0.168219i | ||||
\(655\) | 42.4545 | + | 59.6190i | 1.65883 | + | 2.32951i | ||||
\(656\) | 32.7730 | − | 3.12944i | 1.27957 | − | 0.122184i | ||||
\(657\) | 2.02190 | − | 14.0626i | 0.0788818 | − | 0.548635i | ||||
\(658\) | 22.9699 | − | 35.8258i | 0.895461 | − | 1.39664i | ||||
\(659\) | 18.2118 | + | 5.34746i | 0.709430 | + | 0.208308i | 0.616488 | − | 0.787364i | \(-0.288555\pi\) |
0.0929419 | + | 0.995672i | \(0.470373\pi\) | |||||||
\(660\) | −1.39930 | + | 1.10043i | −0.0544679 | + | 0.0428340i | ||||
\(661\) | 23.1585 | − | 4.46343i | 0.900761 | − | 0.173607i | 0.282210 | − | 0.959353i | \(-0.408932\pi\) |
0.618550 | + | 0.785745i | \(0.287720\pi\) | |||||||
\(662\) | −4.22668 | + | 2.17901i | −0.164275 | + | 0.0846895i | ||||
\(663\) | 1.14351 | + | 0.220393i | 0.0444101 | + | 0.00855935i | ||||
\(664\) | 42.7820 | − | 12.5619i | 1.66026 | − | 0.487498i | ||||
\(665\) | −50.0846 | − | 43.3052i | −1.94220 | − | 1.67930i | ||||
\(666\) | 4.27940 | 0.165824 | ||||||||
\(667\) | 10.5964 | + | 4.41134i | 0.410293 | + | 0.170808i | ||||
\(668\) | 0.213114 | − | 0.369124i | 0.00824562 | − | 0.0142818i | ||||
\(669\) | 4.70503 | + | 0.449276i | 0.181907 | + | 0.0173700i | ||||
\(670\) | −4.39142 | − | 4.18721i | −0.169655 | − | 0.161766i | ||||
\(671\) | 3.61055 | − | 4.16679i | 0.139384 | − | 0.160857i | ||||
\(672\) | 3.73135 | − | 4.75522i | 0.143940 | − | 0.183436i | ||||
\(673\) | 18.5450 | + | 21.4021i | 0.714859 | + | 0.824991i | 0.990679 | − | 0.136219i | \(-0.0434949\pi\) |
−0.275820 | + | 0.961209i | \(0.588949\pi\) | |||||||
\(674\) | −31.8834 | + | 25.0734i | −1.22810 | + | 0.965791i | ||||
\(675\) | 4.98329 | − | 4.75155i | 0.191807 | − | 0.182887i | ||||
\(676\) | −0.252433 | − | 5.29922i | −0.00970895 | − | 0.203816i | ||||
\(677\) | 32.2584 | − | 12.9143i | 1.23979 | − | 0.496338i | 0.343229 | − | 0.939252i | \(-0.388479\pi\) |
0.896564 | + | 0.442914i | \(0.146055\pi\) | |||||||
\(678\) | 1.66728 | − | 3.65084i | 0.0640316 | − | 0.140210i | ||||
\(679\) | −13.4236 | + | 7.76919i | −0.515149 | + | 0.298154i | ||||
\(680\) | −5.85938 | + | 40.7529i | −0.224697 | + | 1.56280i | ||||
\(681\) | 16.4861 | + | 8.49915i | 0.631747 | + | 0.325688i | ||||
\(682\) | 2.16695 | − | 2.06618i | 0.0829769 | − | 0.0791183i | ||||
\(683\) | 11.2672 | + | 4.51071i | 0.431128 | + | 0.172598i | 0.577069 | − | 0.816696i | \(-0.304197\pi\) |
−0.145940 | + | 0.989293i | \(0.546621\pi\) | |||||||
\(684\) | −0.973208 | + | 2.81190i | −0.0372116 | + | 0.107516i | ||||
\(685\) | −7.77159 | − | 4.99450i | −0.296937 | − | 0.190830i | ||||
\(686\) | 13.0925 | − | 25.5966i | 0.499876 | − | 0.977284i | ||||
\(687\) | 15.1735 | − | 4.45534i | 0.578906 | − | 0.169982i | ||||
\(688\) | −0.477814 | + | 0.670996i | −0.0182165 | + | 0.0255815i | ||||
\(689\) | 0.765064 | − | 1.32513i | 0.0291466 | − | 0.0504834i | ||||
\(690\) | −10.9810 | + | 23.1994i | −0.418038 | + | 0.883186i | ||||
\(691\) | 0.915590 | + | 1.58585i | 0.0348307 | + | 0.0603285i | 0.882915 | − | 0.469532i | \(-0.155577\pi\) |
−0.848085 | + | 0.529861i | \(0.822244\pi\) | |||||||
\(692\) | −2.17624 | − | 4.76530i | −0.0827283 | − | 0.181150i | ||||
\(693\) | −3.15059 | − | 1.08667i | −0.119681 | − | 0.0412792i | ||||
\(694\) | 7.87790 | − | 9.09158i | 0.299041 | − | 0.345112i | ||||
\(695\) | 2.28821 | − | 48.0354i | 0.0867966 | − | 1.82209i | ||||
\(696\) | −5.80095 | + | 1.11804i | −0.219885 | + | 0.0423793i | ||||
\(697\) | 31.7875 | + | 12.7258i | 1.20404 | + | 0.482024i | ||||
\(698\) | −4.13551 | − | 17.0468i | −0.156532 | − | 0.645232i | ||||
\(699\) | 3.69398 | − | 2.37398i | 0.139719 | − | 0.0897921i | ||||
\(700\) | −7.25906 | − | 1.75284i | −0.274367 | − | 0.0662510i | ||||
\(701\) | 8.68862 | − | 19.0254i | 0.328165 | − | 0.718581i | −0.671586 | − | 0.740927i | \(-0.734386\pi\) |
0.999750 | + | 0.0223464i | \(0.00711368\pi\) | |||||||
\(702\) | −0.371978 | + | 0.0355196i | −0.0140394 | + | 0.00134060i | ||||
\(703\) | −15.7290 | − | 12.3694i | −0.593231 | − | 0.466522i | ||||
\(704\) | −0.345059 | − | 7.24368i | −0.0130049 | − | 0.273006i | ||||
\(705\) | −8.42168 | − | 34.7146i | −0.317179 | − | 1.30743i | ||||
\(706\) | 5.85665 | + | 40.7339i | 0.220418 | + | 1.53304i | ||||
\(707\) | −15.2815 | − | 6.95914i | −0.574719 | − | 0.261725i | ||||
\(708\) | 4.62305 | + | 2.97105i | 0.173745 | + | 0.111659i | ||||
\(709\) | −16.3526 | − | 3.15170i | −0.614134 | − | 0.118365i | −0.127308 | − | 0.991863i | \(-0.540634\pi\) |
−0.486827 | + | 0.873499i | \(0.661846\pi\) | |||||||
\(710\) | 15.9271 | − | 65.6525i | 0.597734 | − | 2.46389i | ||||
\(711\) | −12.8034 | − | 1.22257i | −0.480164 | − | 0.0458501i | ||||
\(712\) | −19.3419 | − | 33.5012i | −0.724868 | − | 1.25551i | ||||
\(713\) | 2.49644 | − | 6.90576i | 0.0934926 | − | 0.258623i | ||||
\(714\) | 18.0666 | − | 8.27403i | 0.676125 | − | 0.309648i | ||||
\(715\) | 0.434239 | + | 0.950852i | 0.0162396 | + | 0.0355598i | ||||
\(716\) | 4.41458 | + | 4.20929i | 0.164980 | + | 0.157309i | ||||
\(717\) | 3.77010 | + | 10.8930i | 0.140797 | + | 0.406806i | ||||
\(718\) | −30.5141 | + | 15.7311i | −1.13878 | + | 0.587080i | ||||
\(719\) | −3.96176 | + | 11.4467i | −0.147749 | + | 0.426892i | −0.994454 | − | 0.105170i | \(-0.966461\pi\) |
0.846706 | + | 0.532062i | \(0.178583\pi\) | |||||||
\(720\) | −2.28234 | − | 15.8740i | −0.0850579 | − | 0.591591i | ||||
\(721\) | −8.16048 | + | 20.4470i | −0.303912 | + | 0.761488i | ||||
\(722\) | 43.9987 | − | 28.2763i | 1.63746 | − | 1.05233i | ||||
\(723\) | 11.7477 | − | 4.70307i | 0.436902 | − | 0.174909i | ||||
\(724\) | 2.91914 | + | 4.09936i | 0.108489 | + | 0.152351i | ||||
\(725\) | 9.55887 | + | 13.4236i | 0.355008 | + | 0.498539i | ||||
\(726\) | −13.5663 | + | 5.43114i | −0.503494 | + | 0.201568i | ||||
\(727\) | −24.1422 | + | 15.5153i | −0.895386 | + | 0.575429i | −0.905418 | − | 0.424520i | \(-0.860443\pi\) |
0.0100327 | + | 0.999950i | \(0.496806\pi\) | |||||||
\(728\) | −0.973071 | − | 1.23465i | −0.0360644 | − | 0.0457591i | ||||
\(729\) | −0.142315 | − | 0.989821i | −0.00527092 | − | 0.0366601i | ||||
\(730\) | −24.8690 | + | 71.8542i | −0.920442 | + | 2.65944i | ||||
\(731\) | −0.761482 | + | 0.392571i | −0.0281644 | + | 0.0145198i | ||||
\(732\) | −0.586829 | − | 1.69553i | −0.0216898 | − | 0.0626686i | ||||
\(733\) | 10.2724 | + | 9.79473i | 0.379420 | + | 0.361776i | 0.855659 | − | 0.517539i | \(-0.173152\pi\) |
−0.476239 | + | 0.879316i | \(0.658000\pi\) | |||||||
\(734\) | 21.7972 | + | 47.7293i | 0.804551 | + | 1.76172i | ||||
\(735\) | −7.94166 | − | 22.7886i | −0.292933 | − | 0.840570i | ||||
\(736\) | 5.34786 | + | 9.56264i | 0.197125 | + | 0.352484i | ||||
\(737\) | 0.714063 | + | 1.23679i | 0.0263028 | + | 0.0455579i | ||||
\(738\) | −10.9369 | − | 1.04435i | −0.402594 | − | 0.0384430i | ||||
\(739\) | 8.12830 | − | 33.5053i | 0.299004 | − | 1.23251i | −0.601927 | − | 0.798551i | \(-0.705600\pi\) |
0.900931 | − | 0.433962i | \(-0.142885\pi\) | |||||||
\(740\) | −3.82535 | − | 0.737276i | −0.140623 | − | 0.0271028i | ||||
\(741\) | 1.46988 | + | 0.944633i | 0.0539973 | + | 0.0347020i | ||||
\(742\) | −2.50953 | − | 25.9882i | −0.0921277 | − | 0.954056i | ||||
\(743\) | −5.80567 | − | 40.3793i | −0.212989 | − | 1.48137i | −0.763100 | − | 0.646281i | \(-0.776323\pi\) |
0.550110 | − | 0.835092i | \(-0.314586\pi\) | |||||||
\(744\) | 0.891058 | + | 3.67299i | 0.0326678 | + | 0.134658i | ||||
\(745\) | −1.16052 | − | 24.3623i | −0.0425182 | − | 0.892567i | ||||
\(746\) | 23.4618 | + | 18.4506i | 0.858999 | + | 0.675524i | ||||
\(747\) | −17.9816 | + | 1.71703i | −0.657912 | + | 0.0628230i | ||||
\(748\) | −1.03778 | + | 2.27242i | −0.0379450 | + | 0.0830880i | ||||
\(749\) | 15.2779 | + | 3.68914i | 0.558243 | + | 0.134798i | ||||
\(750\) | −8.48925 | + | 5.45571i | −0.309983 | + | 0.199214i | ||||
\(751\) | 8.27197 | + | 34.0975i | 0.301848 | + | 1.24424i | 0.897508 | + | 0.440999i | \(0.145376\pi\) |
−0.595659 | + | 0.803237i | \(0.703109\pi\) | |||||||
\(752\) | −44.7469 | − | 17.9140i | −1.63175 | − | 0.653255i | ||||
\(753\) | 13.9015 | − | 2.67930i | 0.506600 | − | 0.0976392i | ||||
\(754\) | 0.0425529 | − | 0.893296i | 0.00154969 | − | 0.0325319i | ||||
\(755\) | 27.3266 | − | 31.5365i | 0.994516 | − | 1.14773i | ||||
\(756\) | −0.818890 | + | 0.711102i | −0.0297828 | + | 0.0258625i | ||||
\(757\) | 12.0666 | + | 26.4221i | 0.438566 | + | 0.960326i | 0.991859 | + | 0.127340i | \(0.0406438\pi\) |
−0.553293 | + | 0.832987i | \(0.686629\pi\) | |||||||
\(758\) | −3.93209 | − | 6.81058i | −0.142820 | − | 0.247372i | ||||
\(759\) | 4.01818 | − | 4.51098i | 0.145851 | − | 0.163738i | ||||
\(760\) | −30.8864 | + | 53.4967i | −1.12037 | + | 1.94053i | ||||
\(761\) | −0.797925 | + | 1.12053i | −0.0289248 | + | 0.0406191i | −0.828785 | − | 0.559567i | \(-0.810967\pi\) |
0.799860 | + | 0.600186i | \(0.204907\pi\) | |||||||
\(762\) | 10.3205 | − | 3.03037i | 0.373871 | − | 0.109779i | ||||
\(763\) | −3.32941 | + | 11.3838i | −0.120533 | + | 0.412122i | ||||
\(764\) | 1.82851 | + | 1.17511i | 0.0661533 | + | 0.0425141i | ||||
\(765\) | 5.45531 | − | 15.7621i | 0.197237 | − | 0.569879i | ||||
\(766\) | 40.8875 | + | 16.3689i | 1.47733 | + | 0.591432i | ||||
\(767\) | 2.33543 | − | 2.22683i | 0.0843276 | − | 0.0804062i | ||||
\(768\) | −8.40221 | − | 4.33164i | −0.303189 | − | 0.156305i | ||||
\(769\) | −0.623183 | + | 4.33433i | −0.0224726 | + | 0.156300i | −0.997968 | − | 0.0637205i | \(-0.979703\pi\) |
0.975495 | + | 0.220021i | \(0.0706125\pi\) | |||||||
\(770\) | 15.4564 | + | 8.90180i | 0.557010 | + | 0.320798i | ||||
\(771\) | −12.7766 | + | 27.9768i | −0.460138 | + | 1.00756i | ||||
\(772\) | −4.78937 | + | 1.91737i | −0.172373 | + | 0.0690078i | ||||
\(773\) | −1.17560 | − | 24.6790i | −0.0422836 | − | 0.887641i | −0.915993 | − | 0.401194i | \(-0.868595\pi\) |
0.873710 | − | 0.486448i | \(-0.161708\pi\) | |||||||
\(774\) | 0.198951 | − | 0.189700i | 0.00715116 | − | 0.00681862i | ||||
\(775\) | 8.28718 | − | 6.51711i | 0.297684 | − | 0.234101i | ||||
\(776\) | 9.47599 | + | 10.9359i | 0.340168 | + | 0.392575i | ||||
\(777\) | −2.71790 | − | 6.76808i | −0.0975043 | − | 0.242803i | ||||
\(778\) | −8.15809 | + | 9.41494i | −0.292482 | + | 0.337542i | ||||
\(779\) | 37.1802 | + | 35.4512i | 1.33212 | + | 1.27017i | ||||
\(780\) | 0.338630 | + | 0.0323353i | 0.0121249 | + | 0.00115779i | ||||
\(781\) | −7.95022 | + | 13.7702i | −0.284481 | + | 0.492736i | ||||
\(782\) | 1.22135 | + | 35.9988i | 0.0436752 | + | 1.28731i | ||||
\(783\) | 2.39331 | 0.0855300 | ||||||||
\(784\) | −31.2631 | − | 9.10733i | −1.11654 | − | 0.325262i | ||||
\(785\) | −6.50331 | + | 1.90954i | −0.232113 | + | 0.0681545i | ||||
\(786\) | −32.3613 | − | 6.23712i | −1.15429 | − | 0.222471i | ||||
\(787\) | −18.3781 | + | 9.47459i | −0.655110 | + | 0.337733i | −0.753531 | − | 0.657412i | \(-0.771651\pi\) |
0.0984212 | + | 0.995145i | \(0.468621\pi\) | |||||||
\(788\) | −0.855250 | + | 0.164836i | −0.0304670 | + | 0.00587203i | ||||
\(789\) | −2.38806 | + | 1.87799i | −0.0850173 | + | 0.0668583i | ||||
\(790\) | 66.0462 | + | 19.3929i | 2.34982 | + | 0.689969i | ||||
\(791\) | −6.83289 | − | 0.318190i | −0.242949 | − | 0.0113136i | ||||
\(792\) | −0.442508 | + | 3.07771i | −0.0157238 | + | 0.109362i | ||||
\(793\) | −1.04879 | + | 0.100147i | −0.0372437 | + | 0.00355634i | ||||
\(794\) | 2.90288 | + | 4.07653i | 0.103020 | + | 0.144671i | ||||
\(795\) | −17.2267 | − | 13.5472i | −0.610968 | − | 0.480470i | ||||
\(796\) | 1.28035 | + | 0.660065i | 0.0453807 | + | 0.0233954i | ||||
\(797\) | 44.7309 | + | 13.1342i | 1.58445 | + | 0.465236i | 0.951165 | − | 0.308682i | \(-0.0998881\pi\) |
0.633285 | + | 0.773919i | \(0.281706\pi\) | |||||||
\(798\) | 29.7785 | − | 1.45034i | 1.05415 | − | 0.0513416i | ||||
\(799\) | −32.8278 | − | 37.8854i | −1.16137 | − | 1.34029i | ||||
\(800\) | −0.748488 | + | 15.7127i | −0.0264630 | + | 0.555527i | ||||
\(801\) | 5.12563 | + | 14.8095i | 0.181105 | + | 0.523269i | ||||
\(802\) | −0.0798655 | + | 0.329210i | −0.00282015 | + | 0.0116248i | ||||
\(803\) | 10.3808 | − | 14.5778i | 0.366331 | − | 0.514439i | ||||
\(804\) | 0.464746 | 0.0163903 | ||||||||
\(805\) | 43.6651 | + | 2.63267i | 1.53899 | + | 0.0927893i | ||||
\(806\) | −0.572145 | −0.0201530 | ||||||||
\(807\) | 6.86035 | − | 9.63401i | 0.241496 | − | 0.339133i | ||||
\(808\) | −3.69341 | + | 15.2244i | −0.129934 | + | 0.535594i | ||||
\(809\) | 2.92011 | + | 8.43711i | 0.102666 | + | 0.296633i | 0.984622 | − | 0.174698i | \(-0.0558949\pi\) |
−0.881956 | + | 0.471331i | \(0.843774\pi\) | |||||||
\(810\) | −0.254655 | + | 5.34587i | −0.00894767 | + | 0.187835i | ||||
\(811\) | −20.5469 | − | 23.7123i | −0.721498 | − | 0.832653i | 0.269988 | − | 0.962864i | \(-0.412980\pi\) |
−0.991486 | + | 0.130211i | \(0.958435\pi\) | |||||||
\(812\) | −1.40565 | − | 2.18212i | −0.0493286 | − | 0.0765772i | ||||
\(813\) | −29.9896 | − | 8.80574i | −1.05178 | − | 0.308831i | ||||
\(814\) | 4.79132 | + | 2.47010i | 0.167936 | + | 0.0865769i | ||||
\(815\) | 27.3098 | + | 21.4767i | 0.956622 | + | 0.752295i | ||||
\(816\) | −13.0546 | − | 18.3326i | −0.457003 | − | 0.641771i | ||||
\(817\) | −1.27957 | + | 0.122184i | −0.0447664 | + | 0.00427467i | ||||
\(818\) | −2.88990 | + | 20.0997i | −0.101043 | + | 0.702769i | ||||
\(819\) | 0.292424 | + | 0.565742i | 0.0102181 | + | 0.0197686i | ||||
\(820\) | 9.59657 | + | 2.81781i | 0.335127 | + | 0.0984021i | ||||
\(821\) | 7.10963 | − | 5.59107i | 0.248128 | − | 0.195130i | −0.486347 | − | 0.873766i | \(-0.661671\pi\) |
0.734475 | + | 0.678636i | \(0.237429\pi\) | |||||||
\(822\) | 4.08466 | − | 0.787253i | 0.142469 | − | 0.0274586i | ||||
\(823\) | −24.4541 | + | 12.6070i | −0.852417 | + | 0.439451i | −0.828318 | − | 0.560258i | \(-0.810702\pi\) |
−0.0240987 | + | 0.999710i | \(0.507672\pi\) | |||||||
\(824\) | 20.1686 | + | 3.88718i | 0.702607 | + | 0.135416i | ||||
\(825\) | 8.32204 | − | 2.44357i | 0.289736 | − | 0.0850742i | ||||
\(826\) | 10.3629 | − | 54.0780i | 0.360572 | − | 1.88161i | ||||
\(827\) | −31.9008 | −1.10930 | −0.554650 | − | 0.832084i | \(-0.687148\pi\) | ||||
−0.554650 | + | 0.832084i | \(0.687148\pi\) | |||||||
\(828\) | −0.617503 | − | 1.86641i | −0.0214597 | − | 0.0648624i | ||||
\(829\) | 24.7938 | − | 42.9441i | 0.861124 | − | 1.49151i | −0.00972160 | − | 0.999953i | \(-0.503095\pi\) |
0.870845 | − | 0.491557i | \(-0.163572\pi\) | |||||||
\(830\) | 96.2363 | + | 9.18945i | 3.34041 | + | 0.318971i | ||||
\(831\) | 14.4469 | + | 13.7751i | 0.501158 | + | 0.477853i | ||||
\(832\) | −0.907478 | + | 1.04729i | −0.0314612 | + | 0.0363081i | ||||
\(833\) | −24.5601 | − | 23.3182i | −0.850957 | − | 0.807929i | ||||
\(834\) | 14.1806 | + | 16.3653i | 0.491034 | + | 0.566683i | ||||
\(835\) | −2.81775 | + | 2.21590i | −0.0975122 | + | 0.0766845i | ||||
\(836\) | −2.71267 | + | 2.58653i | −0.0938198 | + | 0.0894570i | ||||
\(837\) | −0.0728551 | − | 1.52942i | −0.00251824 | − | 0.0528644i | ||||
\(838\) | −53.9640 | + | 21.6039i | −1.86415 | + | 0.746295i | ||||
\(839\) | −7.35468 | + | 16.1045i | −0.253912 | + | 0.555989i | −0.993068 | − | 0.117545i | \(-0.962497\pi\) |
0.739156 | + | 0.673535i | \(0.235225\pi\) | |||||||
\(840\) | −19.4868 | + | 11.2784i | −0.672360 | + | 0.389143i | ||||
\(841\) | 3.31196 | − | 23.0352i | 0.114205 | − | 0.794317i | ||||
\(842\) | 4.80679 | + | 2.47807i | 0.165653 | + | 0.0854001i | ||||
\(843\) | 3.68850 | − | 3.51698i | 0.127039 | − | 0.121131i | ||||
\(844\) | −2.27514 | − | 0.910827i | −0.0783134 | − | 0.0313520i | ||||
\(845\) | −14.5932 | + | 42.1643i | −0.502021 | + | 1.45050i | ||||
\(846\) | 13.5316 | + | 8.69625i | 0.465227 | + | 0.298983i | ||||
\(847\) | 17.2057 | + | 18.0064i | 0.591197 | + | 0.618707i | ||||
\(848\) | −28.3729 | + | 8.33104i | −0.974330 | + | 0.286089i | ||||
\(849\) | −0.0176963 | + | 0.0248510i | −0.000607335 | + | 0.000852883i | ||||
\(850\) | −25.8571 | + | 44.7859i | −0.886892 | + | 1.53614i | ||||
\(851\) | 13.2192 | + | 0.180922i | 0.453148 | + | 0.00620193i | ||||
\(852\) | 2.58719 | + | 4.48115i | 0.0886358 | + | 0.153522i | ||||
\(853\) | 20.6164 | + | 45.1437i | 0.705893 | + | 1.54569i | 0.832676 | + | 0.553760i | \(0.186808\pi\) |
−0.126783 | + | 0.991930i | \(0.540465\pi\) | |||||||
\(854\) | −13.5738 | + | 11.7871i | −0.464484 | + | 0.403346i | ||||
\(855\) | 16.3880 | − | 18.9127i | 0.560457 | − | 0.646802i | ||||
\(856\) | 0.697723 | − | 14.6470i | 0.0238477 | − | 0.500624i | ||||
\(857\) | 15.8670 | − | 3.05812i | 0.542007 | − | 0.104463i | 0.0891030 | − | 0.996022i | \(-0.471600\pi\) |
0.452904 | + | 0.891559i | \(0.350388\pi\) | |||||||
\(858\) | −0.436978 | − | 0.174940i | −0.0149182 | − | 0.00597234i | ||||
\(859\) | 4.34904 | + | 17.9270i | 0.148387 | + | 0.611661i | 0.996628 | + | 0.0820503i | \(0.0261468\pi\) |
−0.848241 | + | 0.529611i | \(0.822338\pi\) | |||||||
\(860\) | −0.210525 | + | 0.135296i | −0.00717883 | + | 0.00461355i | ||||
\(861\) | 5.29449 | + | 17.9605i | 0.180436 | + | 0.612094i | ||||
\(862\) | 21.3363 | − | 46.7200i | 0.726718 | − | 1.59129i | ||||
\(863\) | −10.1669 | + | 0.970821i | −0.346085 | + | 0.0330471i | −0.266651 | − | 0.963793i | \(-0.585917\pi\) |
−0.0794337 | + | 0.996840i | \(0.525311\pi\) | |||||||
\(864\) | 1.79580 | + | 1.41223i | 0.0610943 | + | 0.0480451i | ||||
\(865\) | 2.09641 | + | 44.0090i | 0.0712800 | + | 1.49635i | ||||
\(866\) | 5.16480 | + | 21.2896i | 0.175507 | + | 0.723450i | ||||
\(867\) | −0.911797 | − | 6.34168i | −0.0309662 | − | 0.215375i | ||||
\(868\) | −1.35166 | + | 0.964689i | −0.0458785 | + | 0.0327437i | ||||
\(869\) | −13.6293 | − | 8.75901i | −0.462342 | − | 0.297129i | ||||
\(870\) | −12.5774 | − | 2.42409i | −0.426413 | − | 0.0821843i | ||||
\(871\) | 0.0643385 | − | 0.265207i | 0.00218003 | − | 0.00898619i | ||||
\(872\) | 11.0157 | + | 1.05187i | 0.373037 | + | 0.0356207i | ||||
\(873\) | −2.93107 | − | 5.07676i | −0.0992016 | − | 0.171822i | ||||
\(874\) | −18.3727 | + | 50.8232i | −0.621466 | + | 1.71912i | ||||
\(875\) | 14.0201 | + | 9.96115i | 0.473966 | + | 0.336748i | ||||
\(876\) | −2.41931 | − | 5.29756i | −0.0817410 | − | 0.178988i | ||||
\(877\) | −1.10325 | − | 1.05195i | −0.0372540 | − | 0.0355217i | 0.671223 | − | 0.741255i | \(-0.265769\pi\) |
−0.708477 | + | 0.705733i | \(0.750618\pi\) | |||||||
\(878\) | 12.2186 | + | 35.3034i | 0.412359 | + | 1.19143i | ||||
\(879\) | 8.82295 | − | 4.54855i | 0.297591 | − | 0.153419i | ||||
\(880\) | 6.60723 | − | 19.0904i | 0.222730 | − | 0.643536i | ||||
\(881\) | −1.07672 | − | 7.48875i | −0.0362756 | − | 0.252302i | 0.963612 | − | 0.267305i | \(-0.0861333\pi\) |
−0.999887 | + | 0.0150031i | \(0.995224\pi\) | |||||||
\(882\) | 9.66934 | + | 4.95883i | 0.325584 | + | 0.166972i | ||||
\(883\) | 31.5110 | − | 20.2509i | 1.06043 | − | 0.681496i | 0.110472 | − | 0.993879i | \(-0.464764\pi\) |
0.949956 | + | 0.312383i | \(0.101127\pi\) | |||||||
\(884\) | 0.443179 | − | 0.177422i | 0.0149057 | − | 0.00596735i | ||||
\(885\) | −26.8090 | − | 37.6480i | −0.901176 | − | 1.26552i | ||||
\(886\) | 13.4072 | + | 18.8278i | 0.450423 | + | 0.632531i | ||||
\(887\) | −37.2377 | + | 14.9077i | −1.25032 | + | 0.500553i | −0.899923 | − | 0.436048i | \(-0.856378\pi\) |
−0.350397 | + | 0.936601i | \(0.613953\pi\) | |||||||
\(888\) | −5.72438 | + | 3.67884i | −0.192098 | + | 0.123454i | ||||
\(889\) | −11.3473 | − | 14.3977i | −0.380577 | − | 0.482883i | ||||
\(890\) | −11.9363 | − | 83.0188i | −0.400106 | − | 2.78280i | ||||
\(891\) | 0.411992 | − | 1.19037i | 0.0138023 | − | 0.0398790i | ||||
\(892\) | 1.72209 | − | 0.887798i | 0.0576598 | − | 0.0297257i | ||||
\(893\) | −24.5995 | − | 71.0757i | −0.823192 | − | 2.37846i | ||||
\(894\) | 7.94845 | + | 7.57883i | 0.265836 | + | 0.253474i | ||||
\(895\) | −21.3109 | − | 46.6643i | −0.712343 | − | 1.55981i | ||||
\(896\) | −3.35886 | + | 35.5763i | −0.112211 | + | 1.18852i | ||||
\(897\) | −1.15055 | + | 0.0939948i | −0.0384158 | + | 0.00313839i | ||||
\(898\) | −21.8138 | − | 37.7826i | −0.727936 | − | 1.26082i | ||||
\(899\) | 3.64793 | + | 0.348335i | 0.121665 | + | 0.0116176i | ||||
\(900\) | 0.665435 | − | 2.74296i | 0.0221812 | − | 0.0914320i | ||||
\(901\) | −30.1990 | − | 5.82038i | −1.00607 | − | 0.193905i | ||||
\(902\) | −11.6424 | − | 7.48214i | −0.387651 | − | 0.249128i | ||||
\(903\) | −0.426376 | − | 0.194170i | −0.0141889 | − | 0.00646158i | ||||
\(904\) | 0.908230 | + | 6.31688i | 0.0302073 | + | 0.210096i | ||||
\(905\) | −9.97841 | − | 41.1316i | −0.331693 | − | 1.36726i | ||||
\(906\) | 0.894068 | + | 18.7688i | 0.0297034 | + | 0.623551i | ||||
\(907\) | −14.4397 | − | 11.3555i | −0.479463 | − | 0.377054i | 0.348977 | − | 0.937131i | \(-0.386529\pi\) |
−0.828440 | + | 0.560077i | \(0.810771\pi\) | |||||||
\(908\) | 7.56876 | − | 0.722729i | 0.251178 | − | 0.0239846i | ||||
\(909\) | 2.63646 | − | 5.77305i | 0.0874459 | − | 0.191480i | ||||
\(910\) | −0.963734 | − | 3.26928i | −0.0319475 | − | 0.108376i | ||||
\(911\) | 44.5323 | − | 28.6192i | 1.47542 | − | 0.948196i | 0.477857 | − | 0.878438i | \(-0.341414\pi\) |
0.997564 | − | 0.0697580i | \(-0.0222227\pi\) | |||||||
\(912\) | −7.96081 | − | 32.8149i | −0.263609 | − | 1.08661i | ||||
\(913\) | −21.1237 | − | 8.45666i | −0.699093 | − | 0.279875i | ||||
\(914\) | −54.5898 | + | 10.5213i | −1.80567 | + | 0.348015i | ||||
\(915\) | −0.718000 | + | 15.0727i | −0.0237363 | + | 0.498287i | ||||
\(916\) | 4.24516 | − | 4.89917i | 0.140264 | − | 0.161873i | ||||
\(917\) | 10.6888 | + | 55.1421i | 0.352974 | + | 1.82095i | ||||
\(918\) | 3.12001 | + | 6.83186i | 0.102976 | + | 0.225485i | ||||
\(919\) | −8.03339 | − | 13.9142i | −0.264997 | − | 0.458989i | 0.702566 | − | 0.711619i | \(-0.252038\pi\) |
−0.967563 | + | 0.252630i | \(0.918704\pi\) | |||||||
\(920\) | −5.25484 | − | 40.4728i | −0.173247 | − | 1.33435i | ||||
\(921\) | −5.90880 | + | 10.2343i | −0.194701 | + | 0.337233i | ||||
\(922\) | −24.7455 | + | 34.7502i | −0.814949 | + | 1.14444i | ||||
\(923\) | 2.91533 | − | 0.856017i | 0.0959591 | − | 0.0281761i | ||||
\(924\) | −1.32730 | + | 0.323499i | −0.0436650 | + | 0.0106423i | ||||
\(925\) | 15.9678 | + | 10.2619i | 0.525019 | + | 0.337409i | ||||
\(926\) | −1.12230 | + | 3.24267i | −0.0368810 | + | 0.106561i | ||||
\(927\) | −7.72496 | − | 3.09261i | −0.253721 | − | 0.101575i | ||||
\(928\) | −3.95716 | + | 3.77315i | −0.129900 | + | 0.123860i | ||||
\(929\) | 29.6323 | + | 15.2765i | 0.972206 | + | 0.501207i | 0.869730 | − | 0.493529i | \(-0.164293\pi\) |
0.102476 | + | 0.994735i | \(0.467324\pi\) | |||||||
\(930\) | −1.16621 | + | 8.11120i | −0.0382417 | + | 0.265977i | ||||
\(931\) | −21.2065 | − | 46.1750i | −0.695016 | − | 1.51333i | ||||
\(932\) | 0.747740 | − | 1.63732i | 0.0244930 | − | 0.0536322i | ||||
\(933\) | 8.08227 | − | 3.23565i | 0.264602 | − | 0.105931i | ||||
\(934\) | −0.644950 | − | 13.5392i | −0.0211034 | − | 0.443015i | ||||
\(935\) | 15.2059 | − | 14.4988i | 0.497285 | − | 0.474160i | ||||
\(936\) | 0.467045 | − | 0.367288i | 0.0152659 | − | 0.0120052i | ||||
\(937\) | −21.0218 | − | 24.2605i | −0.686753 | − | 0.792555i | 0.300146 | − | 0.953893i | \(-0.402965\pi\) |
−0.986899 | + | 0.161338i | \(0.948419\pi\) | |||||||
\(938\) | −1.73528 | − | 4.32116i | −0.0566589 | − | 0.141091i | ||||
\(939\) | 2.23770 | − | 2.58245i | 0.0730247 | − | 0.0842750i | ||||
\(940\) | −10.5977 | − | 10.1049i | −0.345658 | − | 0.329584i | ||||
\(941\) | 38.3180 | + | 3.65893i | 1.24913 | + | 0.119278i | 0.698585 | − | 0.715527i | \(-0.253813\pi\) |
0.550546 | + | 0.834805i | \(0.314419\pi\) | |||||||
\(942\) | 1.52600 | − | 2.64311i | 0.0497198 | − | 0.0861172i | ||||
\(943\) | −33.7403 | − | 3.68841i | −1.09874 | − | 0.120111i | ||||
\(944\) | −62.3624 | −2.02972 | ||||||||
\(945\) | 8.61648 | − | 2.99248i | 0.280294 | − | 0.0973454i | ||||
\(946\) | 0.332247 | − | 0.0975564i | 0.0108023 | − | 0.00317183i | ||||
\(947\) | −57.8992 | − | 11.1592i | −1.88147 | − | 0.362624i | −0.886495 | − | 0.462739i | \(-0.846867\pi\) |
−0.994976 | + | 0.100115i | \(0.968079\pi\) | |||||||
\(948\) | −4.68616 | + | 2.41588i | −0.152199 | + | 0.0784642i | ||||
\(949\) | −3.35797 | + | 0.647195i | −0.109004 | + | 0.0210088i | ||||
\(950\) | −60.9899 | + | 47.9630i | −1.97877 | + | 1.55612i | ||||
\(951\) | 9.70190 | + | 2.84873i | 0.314606 | + | 0.0923766i | ||||
\(952\) | −17.0541 | + | 26.5990i | −0.552726 | + | 0.862078i | ||||
\(953\) | −6.64098 | + | 46.1891i | −0.215123 | + | 1.49621i | 0.540578 | + | 0.841294i | \(0.318205\pi\) |
−0.755701 | + | 0.654917i | \(0.772704\pi\) | |||||||
\(954\) | 9.82361 | − | 0.938041i | 0.318051 | − | 0.0303702i | ||||
\(955\) | −10.6035 | − | 14.8906i | −0.343122 | − | 0.481848i | ||||
\(956\) | 3.71422 | + | 2.92089i | 0.120126 | + | 0.0944684i | ||||
\(957\) | 2.67961 | + | 1.38143i | 0.0866195 | + | 0.0446554i | ||||
\(958\) | −37.1656 | − | 10.9128i | −1.20077 | − | 0.352577i | ||||
\(959\) | −3.83929 | − | 5.96008i | −0.123977 | − | 0.192461i | ||||
\(960\) | 12.9975 | + | 14.9999i | 0.419491 | + | 0.484119i | ||||
\(961\) | −1.36349 | + | 28.6231i | −0.0439835 | + | 0.923326i | ||||
\(962\) | −0.336906 | − | 0.973425i | −0.0108623 | − | 0.0313845i | ||||
\(963\) | −1.40052 | + | 5.77302i | −0.0451311 | + | 0.186033i | ||||
\(964\) | 3.00887 | − | 4.22537i | 0.0969092 | − | 0.136090i | ||||
\(965\) | 43.3877 | 1.39670 | ||||||||
\(966\) | −15.0481 | + | 12.7103i | −0.484164 | + | 0.408948i | ||||
\(967\) | −2.35812 | −0.0758319 | −0.0379160 | − | 0.999281i | \(-0.512072\pi\) | ||||
−0.0379160 | + | 0.999281i | \(0.512072\pi\) | |||||||
\(968\) | 13.4782 | − | 18.9275i | 0.433205 | − | 0.608352i | ||||
\(969\) | 8.27957 | − | 34.1288i | 0.265978 | − | 1.09638i | ||||
\(970\) | 10.2613 | + | 29.6482i | 0.329472 | + | 0.951946i | ||||
\(971\) | 0.252681 | − | 5.30442i | 0.00810890 | − | 0.170227i | −0.991180 | − | 0.132522i | \(-0.957692\pi\) |
0.999289 | − | 0.0377046i | \(-0.0120046\pi\) | |||||||
\(972\) | −0.268441 | − | 0.309798i | −0.00861026 | − | 0.00993677i | ||||
\(973\) | 16.8762 | − | 32.8211i | 0.541026 | − | 1.05220i | ||||
\(974\) | −60.3016 | − | 17.7062i | −1.93219 | − | 0.567342i | ||||
\(975\) | −1.47314 | − | 0.759459i | −0.0471784 | − | 0.0243221i | ||||
\(976\) | 16.0047 | + | 12.5862i | 0.512297 | + | 0.402875i | ||||
\(977\) | −7.90475 | − | 11.1007i | −0.252895 | − | 0.355142i | 0.668538 | − | 0.743678i | \(-0.266920\pi\) |
−0.921434 | + | 0.388536i | \(0.872981\pi\) | |||||||
\(978\) | −15.5736 | + | 1.48710i | −0.497988 | + | 0.0475521i | ||||
\(979\) | −2.80938 | + | 19.5397i | −0.0897881 | + | 0.624490i | ||||
\(980\) | −7.78908 | − | 6.09857i | −0.248813 | − | 0.194812i | ||||
\(981\) | −4.30133 | − | 1.26299i | −0.137331 | − | 0.0403240i | ||||
\(982\) | 39.6644 | − | 31.1924i | 1.26574 | − | 0.995390i | ||||
\(983\) | 26.0290 | − | 5.01667i | 0.830195 | − | 0.160007i | 0.243588 | − | 0.969879i | \(-0.421676\pi\) |
0.586607 | + | 0.809872i | \(0.300463\pi\) | |||||||
\(984\) | 15.5277 | − | 8.00507i | 0.495004 | − | 0.255192i | ||||
\(985\) | 7.19286 | + | 1.38631i | 0.229184 | + | 0.0441715i | ||||
\(986\) | −17.2470 | + | 5.06419i | −0.549257 | + | 0.161277i | ||||
\(987\) | 5.15941 | − | 26.9240i | 0.164226 | − | 0.857000i | ||||
\(988\) | 0.716234 | 0.0227864 | ||||||||
\(989\) | 0.622586 | − | 0.577577i | 0.0197971 | − | 0.0183659i | ||||
\(990\) | −3.37079 | + | 5.83838i | −0.107131 | + | 0.185556i | ||||
\(991\) | −39.2664 | − | 3.74949i | −1.24734 | − | 0.119106i | −0.549581 | − | 0.835440i | \(-0.685213\pi\) |
−0.697758 | + | 0.716334i | \(0.745819\pi\) | |||||||
\(992\) | 2.53164 | + | 2.41392i | 0.0803798 | + | 0.0766420i | ||||
\(993\) | −2.00598 | + | 2.31502i | −0.0636577 | + | 0.0734650i | ||||
\(994\) | 32.0051 | − | 40.7872i | 1.01514 | − | 1.29369i | ||||
\(995\) | −7.93348 | − | 9.15573i | −0.251508 | − | 0.290256i | ||||
\(996\) | −5.82038 | + | 4.57720i | −0.184426 | + | 0.145034i | ||||
\(997\) | 24.1755 | − | 23.0513i | 0.765647 | − | 0.730043i | −0.202811 | − | 0.979218i | \(-0.565008\pi\) |
0.968459 | + | 0.249175i | \(0.0801594\pi\) | |||||||
\(998\) | −3.01953 | − | 63.3877i | −0.0955815 | − | 2.00650i | ||||
\(999\) | 2.55919 | − | 1.02454i | 0.0809691 | − | 0.0324151i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 483.2.y.b.4.13 | ✓ | 320 | |
7.2 | even | 3 | inner | 483.2.y.b.142.4 | yes | 320 | |
23.6 | even | 11 | inner | 483.2.y.b.466.4 | yes | 320 | |
161.121 | even | 33 | inner | 483.2.y.b.121.13 | yes | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.y.b.4.13 | ✓ | 320 | 1.1 | even | 1 | trivial | |
483.2.y.b.121.13 | yes | 320 | 161.121 | even | 33 | inner | |
483.2.y.b.142.4 | yes | 320 | 7.2 | even | 3 | inner | |
483.2.y.b.466.4 | yes | 320 | 23.6 | even | 11 | inner |