Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [144,2,Mod(13,144)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(144, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("144.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 144 = 2^{4} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 144.x (of order \(12\), degree \(4\), 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: | \(1.14984578911\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 13.8 | ||
Character | \(\chi\) | \(=\) | 144.13 |
Dual form | 144.2.x.e.133.8 |
$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.193628 | + | 1.40090i | 0.136916 | + | 0.990583i | ||||
\(3\) | −1.53873 | − | 0.795173i | −0.888388 | − | 0.459093i | ||||
\(4\) | −1.92502 | + | 0.542506i | −0.962508 | + | 0.271253i | ||||
\(5\) | 0.646846 | + | 2.41406i | 0.289278 | + | 1.07960i | 0.945656 | + | 0.325169i | \(0.105421\pi\) |
−0.656378 | + | 0.754433i | \(0.727912\pi\) | |||||||
\(6\) | 0.816012 | − | 2.30957i | 0.333135 | − | 0.942879i | ||||
\(7\) | −2.82197 | + | 1.62927i | −1.06661 | + | 0.615805i | −0.927252 | − | 0.374438i | \(-0.877836\pi\) |
−0.139353 | + | 0.990243i | \(0.544502\pi\) | |||||||
\(8\) | −1.13273 | − | 2.59170i | −0.400481 | − | 0.916305i | ||||
\(9\) | 1.73540 | + | 2.44712i | 0.578467 | + | 0.815706i | ||||
\(10\) | −3.25660 | + | 1.37359i | −1.02983 | + | 0.434369i | ||||
\(11\) | −1.32906 | − | 0.356120i | −0.400726 | − | 0.107374i | 0.0528265 | − | 0.998604i | \(-0.483177\pi\) |
−0.453553 | + | 0.891229i | \(0.649844\pi\) | |||||||
\(12\) | 3.39347 | + | 0.695949i | 0.979611 | + | 0.200903i | ||||
\(13\) | −5.32945 | + | 1.42802i | −1.47812 | + | 0.396062i | −0.905708 | − | 0.423903i | \(-0.860660\pi\) |
−0.572415 | + | 0.819964i | \(0.693993\pi\) | |||||||
\(14\) | −2.82884 | − | 3.63782i | −0.756041 | − | 0.972247i | ||||
\(15\) | 0.924273 | − | 4.22895i | 0.238646 | − | 1.09191i | ||||
\(16\) | 3.41138 | − | 2.08866i | 0.852844 | − | 0.522166i | ||||
\(17\) | 5.37452 | 1.30351 | 0.651756 | − | 0.758428i | \(-0.274032\pi\) | ||||
0.651756 | + | 0.758428i | \(0.274032\pi\) | |||||||
\(18\) | −3.09213 | + | 2.90495i | −0.728823 | + | 0.684702i | ||||
\(19\) | 4.71269 | + | 4.71269i | 1.08116 | + | 1.08116i | 0.996401 | + | 0.0847630i | \(0.0270133\pi\) |
0.0847630 | + | 0.996401i | \(0.472987\pi\) | |||||||
\(20\) | −2.55483 | − | 4.29619i | −0.571278 | − | 0.960658i | ||||
\(21\) | 5.63781 | − | 0.263051i | 1.23027 | − | 0.0574025i | ||||
\(22\) | 0.241544 | − | 1.93083i | 0.0514974 | − | 0.411654i | ||||
\(23\) | 2.88877 | + | 1.66783i | 0.602351 | + | 0.347767i | 0.769966 | − | 0.638085i | \(-0.220273\pi\) |
−0.167615 | + | 0.985853i | \(0.553607\pi\) | |||||||
\(24\) | −0.317880 | + | 4.88866i | −0.0648870 | + | 0.997893i | ||||
\(25\) | −1.07916 | + | 0.623053i | −0.215832 | + | 0.124611i | ||||
\(26\) | −3.03244 | − | 7.18949i | −0.594710 | − | 1.40998i | ||||
\(27\) | −0.724438 | − | 5.14540i | −0.139418 | − | 0.990234i | ||||
\(28\) | 4.54846 | − | 4.66730i | 0.859577 | − | 0.882037i | ||||
\(29\) | 0.814251 | − | 3.03883i | 0.151203 | − | 0.564296i | −0.848198 | − | 0.529679i | \(-0.822312\pi\) |
0.999401 | − | 0.0346168i | \(-0.0110211\pi\) | |||||||
\(30\) | 6.10329 | + | 0.475965i | 1.11430 | + | 0.0868990i | ||||
\(31\) | 0.621800 | − | 1.07699i | 0.111679 | − | 0.193433i | −0.804769 | − | 0.593589i | \(-0.797711\pi\) |
0.916447 | + | 0.400156i | \(0.131044\pi\) | |||||||
\(32\) | 3.58654 | + | 4.37456i | 0.634016 | + | 0.773320i | ||||
\(33\) | 1.76189 | + | 1.60481i | 0.306706 | + | 0.279361i | ||||
\(34\) | 1.04066 | + | 7.52914i | 0.178471 | + | 1.29124i | ||||
\(35\) | −5.75853 | − | 5.75853i | −0.973369 | − | 0.973369i | ||||
\(36\) | −4.66825 | − | 3.76928i | −0.778042 | − | 0.628213i | ||||
\(37\) | −5.86087 | + | 5.86087i | −0.963521 | + | 0.963521i | −0.999358 | − | 0.0358368i | \(-0.988590\pi\) |
0.0358368 | + | 0.999358i | \(0.488590\pi\) | |||||||
\(38\) | −5.68947 | + | 7.51449i | −0.922954 | + | 1.21901i | ||||
\(39\) | 9.33612 | + | 2.04049i | 1.49498 | + | 0.326739i | ||||
\(40\) | 5.52383 | − | 4.41091i | 0.873394 | − | 0.697427i | ||||
\(41\) | 2.81108 | + | 1.62298i | 0.439017 | + | 0.253467i | 0.703181 | − | 0.711011i | \(-0.251763\pi\) |
−0.264163 | + | 0.964478i | \(0.585096\pi\) | |||||||
\(42\) | 1.46015 | + | 7.84705i | 0.225305 | + | 1.21083i | ||||
\(43\) | −6.03232 | − | 1.61636i | −0.919920 | − | 0.246492i | −0.232369 | − | 0.972628i | \(-0.574648\pi\) |
−0.687551 | + | 0.726136i | \(0.741314\pi\) | |||||||
\(44\) | 2.75166 | − | 0.0354845i | 0.414828 | − | 0.00534949i | ||||
\(45\) | −4.78496 | + | 5.77227i | −0.713299 | + | 0.860480i | ||||
\(46\) | −1.77711 | + | 4.36981i | −0.262021 | + | 0.644293i | ||||
\(47\) | 2.17485 | + | 3.76695i | 0.317234 | + | 0.549466i | 0.979910 | − | 0.199441i | \(-0.0639125\pi\) |
−0.662676 | + | 0.748907i | \(0.730579\pi\) | |||||||
\(48\) | −6.91005 | + | 0.501264i | −0.997379 | + | 0.0723513i | ||||
\(49\) | 1.80902 | − | 3.13331i | 0.258431 | − | 0.447615i | ||||
\(50\) | −1.08179 | − | 1.39115i | −0.152988 | − | 0.196738i | ||||
\(51\) | −8.26995 | − | 4.27367i | −1.15803 | − | 0.598434i | ||||
\(52\) | 9.48456 | − | 5.64022i | 1.31527 | − | 0.782157i | ||||
\(53\) | −0.134334 | + | 0.134334i | −0.0184522 | + | 0.0184522i | −0.716273 | − | 0.697820i | \(-0.754153\pi\) |
0.697820 | + | 0.716273i | \(0.254153\pi\) | |||||||
\(54\) | 7.06790 | − | 2.01116i | 0.961820 | − | 0.273684i | ||||
\(55\) | − | 3.43879i | − | 0.463686i | ||||||
\(56\) | 7.41911 | + | 5.46819i | 0.991420 | + | 0.730718i | ||||
\(57\) | −3.50417 | − | 10.9990i | −0.464138 | − | 1.45685i | ||||
\(58\) | 4.41474 | + | 0.552279i | 0.579684 | + | 0.0725177i | ||||
\(59\) | 0.592405 | + | 2.21088i | 0.0771245 | + | 0.287833i | 0.993707 | − | 0.112014i | \(-0.0357301\pi\) |
−0.916582 | + | 0.399846i | \(0.869063\pi\) | |||||||
\(60\) | 0.514990 | + | 8.64223i | 0.0664849 | + | 1.11571i | ||||
\(61\) | 0.615960 | − | 2.29879i | 0.0788656 | − | 0.294330i | −0.915216 | − | 0.402963i | \(-0.867980\pi\) |
0.994082 | + | 0.108632i | \(0.0346471\pi\) | |||||||
\(62\) | 1.62915 | + | 0.662542i | 0.206902 | + | 0.0841429i | ||||
\(63\) | −8.88426 | − | 4.07827i | −1.11931 | − | 0.513813i | ||||
\(64\) | −5.43384 | + | 5.87140i | −0.679230 | + | 0.733925i | ||||
\(65\) | −6.89466 | − | 11.9419i | −0.855178 | − | 1.48121i | ||||
\(66\) | −1.90701 | + | 2.77896i | −0.234737 | + | 0.342066i | ||||
\(67\) | 0.112274 | − | 0.0300838i | 0.0137165 | − | 0.00367532i | −0.251954 | − | 0.967739i | \(-0.581073\pi\) |
0.265671 | + | 0.964064i | \(0.414407\pi\) | |||||||
\(68\) | −10.3460 | + | 2.91571i | −1.25464 | + | 0.353581i | ||||
\(69\) | −3.11884 | − | 4.86343i | −0.375464 | − | 0.585488i | ||||
\(70\) | 6.95209 | − | 9.18211i | 0.830933 | − | 1.09747i | ||||
\(71\) | 3.21118i | 0.381097i | 0.981678 | + | 0.190548i | \(0.0610266\pi\) | ||||
−0.981678 | + | 0.190548i | \(0.938973\pi\) | |||||||
\(72\) | 4.37646 | − | 7.26957i | 0.515771 | − | 0.856727i | ||||
\(73\) | − | 9.75441i | − | 1.14167i | −0.821066 | − | 0.570833i | \(-0.806620\pi\) | ||
0.821066 | − | 0.570833i | \(-0.193380\pi\) | |||||||
\(74\) | −9.34529 | − | 7.07564i | −1.08637 | − | 0.822526i | ||||
\(75\) | 2.15597 | − | 0.100594i | 0.248950 | − | 0.0116156i | ||||
\(76\) | −11.6287 | − | 6.51534i | −1.33390 | − | 0.747361i | ||||
\(77\) | 4.33078 | − | 1.16043i | 0.493538 | − | 0.132243i | ||||
\(78\) | −1.05077 | + | 13.4740i | −0.118977 | + | 1.52563i | ||||
\(79\) | 1.11184 | + | 1.92576i | 0.125092 | + | 0.216665i | 0.921769 | − | 0.387740i | \(-0.126744\pi\) |
−0.796677 | + | 0.604405i | \(0.793411\pi\) | |||||||
\(80\) | 7.24880 | + | 6.88423i | 0.810440 | + | 0.769680i | ||||
\(81\) | −2.97677 | + | 8.49346i | −0.330752 | + | 0.943718i | ||||
\(82\) | −1.72932 | + | 4.25229i | −0.190971 | + | 0.469586i | ||||
\(83\) | −1.54010 | + | 5.74772i | −0.169048 | + | 0.630895i | 0.828441 | + | 0.560076i | \(0.189228\pi\) |
−0.997489 | + | 0.0708190i | \(0.977439\pi\) | |||||||
\(84\) | −10.7102 | + | 3.56492i | −1.16858 | + | 0.388965i | ||||
\(85\) | 3.47649 | + | 12.9744i | 0.377078 | + | 1.40727i | ||||
\(86\) | 1.09632 | − | 8.76362i | 0.118219 | − | 0.945005i | ||||
\(87\) | −3.66931 | + | 4.02848i | −0.393391 | + | 0.431898i | ||||
\(88\) | 0.582508 | + | 3.84791i | 0.0620956 | + | 0.410189i | ||||
\(89\) | 6.12376i | 0.649118i | 0.945866 | + | 0.324559i | \(0.105216\pi\) | ||||
−0.945866 | + | 0.324559i | \(0.894784\pi\) | |||||||
\(90\) | −9.01285 | − | 5.58555i | −0.950038 | − | 0.588769i | ||||
\(91\) | 12.7129 | − | 12.7129i | 1.33268 | − | 1.33268i | ||||
\(92\) | −6.46574 | − | 1.64343i | −0.674101 | − | 0.171340i | ||||
\(93\) | −1.81318 | + | 1.16276i | −0.188018 | + | 0.120573i | ||||
\(94\) | −4.85599 | + | 3.77612i | −0.500857 | + | 0.389477i | ||||
\(95\) | −8.32833 | + | 14.4251i | −0.854469 | + | 1.47998i | ||||
\(96\) | −2.04020 | − | 9.58319i | −0.208227 | − | 0.978081i | ||||
\(97\) | −2.21495 | − | 3.83640i | −0.224894 | − | 0.389528i | 0.731394 | − | 0.681956i | \(-0.238870\pi\) |
−0.956288 | + | 0.292428i | \(0.905537\pi\) | |||||||
\(98\) | 4.73971 | + | 1.92755i | 0.478783 | + | 0.194712i | ||||
\(99\) | −1.43498 | − | 3.87037i | −0.144221 | − | 0.388987i | ||||
\(100\) | 1.73939 | − | 1.78484i | 0.173939 | − | 0.178484i | ||||
\(101\) | 17.2544 | + | 4.62330i | 1.71688 | + | 0.460035i | 0.977093 | − | 0.212811i | \(-0.0682619\pi\) |
0.739782 | + | 0.672847i | \(0.234929\pi\) | |||||||
\(102\) | 4.38567 | − | 12.4128i | 0.434246 | − | 1.22905i | ||||
\(103\) | 8.73448 | + | 5.04285i | 0.860634 | + | 0.496887i | 0.864224 | − | 0.503106i | \(-0.167810\pi\) |
−0.00359067 | + | 0.999994i | \(0.501143\pi\) | |||||||
\(104\) | 9.73783 | + | 12.1948i | 0.954873 | + | 1.19580i | ||||
\(105\) | 4.28182 | + | 13.4399i | 0.417863 | + | 1.31160i | ||||
\(106\) | −0.214199 | − | 0.162178i | −0.0208049 | − | 0.0157521i | ||||
\(107\) | 3.59876 | − | 3.59876i | 0.347905 | − | 0.347905i | −0.511423 | − | 0.859329i | \(-0.670882\pi\) |
0.859329 | + | 0.511423i | \(0.170882\pi\) | |||||||
\(108\) | 4.18597 | + | 9.51198i | 0.402795 | + | 0.915290i | ||||
\(109\) | −7.27011 | − | 7.27011i | −0.696351 | − | 0.696351i | 0.267271 | − | 0.963621i | \(-0.413878\pi\) |
−0.963621 | + | 0.267271i | \(0.913878\pi\) | |||||||
\(110\) | 4.81738 | − | 0.665846i | 0.459319 | − | 0.0634859i | ||||
\(111\) | 13.6787 | − | 4.35791i | 1.29833 | − | 0.413635i | ||||
\(112\) | −6.22382 | + | 11.4522i | −0.588095 | + | 1.08213i | ||||
\(113\) | 5.81099 | − | 10.0649i | 0.546652 | − | 0.946828i | −0.451849 | − | 0.892094i | \(-0.649236\pi\) |
0.998501 | − | 0.0547341i | \(-0.0174311\pi\) | |||||||
\(114\) | 14.7299 | − | 7.03868i | 1.37958 | − | 0.659233i | ||||
\(115\) | −2.15766 | + | 8.05251i | −0.201203 | + | 0.750900i | ||||
\(116\) | 0.0811335 | + | 6.29153i | 0.00753306 | + | 0.584154i | ||||
\(117\) | −12.7433 | − | 10.5636i | −1.17811 | − | 0.976604i | ||||
\(118\) | −2.98251 | + | 1.25799i | −0.274562 | + | 0.115807i | ||||
\(119\) | −15.1667 | + | 8.75652i | −1.39033 | + | 0.802709i | ||||
\(120\) | −12.0071 | + | 2.39482i | −1.09610 | + | 0.218617i | ||||
\(121\) | −7.88670 | − | 4.55339i | −0.716973 | − | 0.413945i | ||||
\(122\) | 3.33964 | + | 0.417785i | 0.302357 | + | 0.0378244i | ||||
\(123\) | −3.03496 | − | 4.73263i | −0.273653 | − | 0.426727i | ||||
\(124\) | −0.612703 | + | 2.41055i | −0.0550223 | + | 0.216474i | ||||
\(125\) | 6.63394 | + | 6.63394i | 0.593358 | + | 0.593358i | ||||
\(126\) | 3.99298 | − | 13.2356i | 0.355723 | − | 1.17912i | ||||
\(127\) | −7.37772 | −0.654667 | −0.327333 | − | 0.944909i | \(-0.606150\pi\) | ||||
−0.327333 | + | 0.944909i | \(0.606150\pi\) | |||||||
\(128\) | −9.27737 | − | 6.47538i | −0.820011 | − | 0.572348i | ||||
\(129\) | 7.99685 | + | 7.28387i | 0.704083 | + | 0.641309i | ||||
\(130\) | 15.3944 | − | 11.9710i | 1.35017 | − | 1.04993i | ||||
\(131\) | 14.6861 | − | 3.93512i | 1.28313 | − | 0.343813i | 0.448082 | − | 0.893992i | \(-0.352107\pi\) |
0.835047 | + | 0.550179i | \(0.185440\pi\) | |||||||
\(132\) | −4.26228 | − | 2.13344i | −0.370984 | − | 0.185692i | ||||
\(133\) | −20.9773 | − | 5.62085i | −1.81896 | − | 0.487389i | ||||
\(134\) | 0.0638837 | + | 0.151459i | 0.00551871 | + | 0.0130841i | ||||
\(135\) | 11.9527 | − | 5.07712i | 1.02873 | − | 0.436969i | ||||
\(136\) | −6.08788 | − | 13.9292i | −0.522032 | − | 1.19442i | ||||
\(137\) | −11.5397 | + | 6.66247i | −0.985906 | + | 0.569213i | −0.904048 | − | 0.427431i | \(-0.859419\pi\) |
−0.0818576 | + | 0.996644i | \(0.526085\pi\) | |||||||
\(138\) | 6.20926 | − | 5.31086i | 0.528567 | − | 0.452090i | ||||
\(139\) | 4.34417 | + | 16.2127i | 0.368468 | + | 1.37514i | 0.862658 | + | 0.505787i | \(0.168798\pi\) |
−0.494191 | + | 0.869354i | \(0.664535\pi\) | |||||||
\(140\) | 14.2093 | + | 7.96123i | 1.20091 | + | 0.672847i | ||||
\(141\) | −0.351138 | − | 7.52571i | −0.0295712 | − | 0.633779i | ||||
\(142\) | −4.49853 | + | 0.621775i | −0.377508 | + | 0.0521782i | ||||
\(143\) | 7.59170 | 0.634849 | ||||||||
\(144\) | 11.0313 | + | 4.72337i | 0.919276 | + | 0.393614i | ||||
\(145\) | 7.86261 | 0.652955 | ||||||||
\(146\) | 13.6649 | − | 1.88873i | 1.13092 | − | 0.156312i | ||||
\(147\) | −5.27511 | + | 3.38285i | −0.435084 | + | 0.279012i | ||||
\(148\) | 8.10271 | − | 14.4618i | 0.666039 | − | 1.18875i | ||||
\(149\) | −3.42362 | − | 12.7771i | −0.280474 | − | 1.04674i | −0.952084 | − | 0.305838i | \(-0.901063\pi\) |
0.671610 | − | 0.740905i | \(-0.265603\pi\) | |||||||
\(150\) | 0.558379 | + | 3.00081i | 0.0455915 | + | 0.245016i | ||||
\(151\) | 10.3438 | − | 5.97202i | 0.841769 | − | 0.485996i | −0.0160959 | − | 0.999870i | \(-0.505124\pi\) |
0.857865 | + | 0.513875i | \(0.171790\pi\) | |||||||
\(152\) | 6.87567 | − | 17.5521i | 0.557691 | − | 1.42366i | ||||
\(153\) | 9.32695 | + | 13.1521i | 0.754039 | + | 1.06328i | ||||
\(154\) | 2.46420 | + | 5.84228i | 0.198571 | + | 0.470784i | ||||
\(155\) | 3.00213 | + | 0.804418i | 0.241137 | + | 0.0646124i | ||||
\(156\) | −19.0792 | + | 1.13693i | −1.52756 | + | 0.0910270i | ||||
\(157\) | 14.4957 | − | 3.88412i | 1.15689 | − | 0.309986i | 0.371164 | − | 0.928567i | \(-0.378959\pi\) |
0.785721 | + | 0.618581i | \(0.212292\pi\) | |||||||
\(158\) | −2.48251 | + | 1.93045i | −0.197498 | + | 0.153578i | ||||
\(159\) | 0.313524 | − | 0.0998858i | 0.0248641 | − | 0.00792146i | ||||
\(160\) | −8.24051 | + | 11.4878i | −0.651470 | + | 0.908190i | ||||
\(161\) | −10.8694 | −0.856627 | ||||||||
\(162\) | −12.4748 | − | 2.52557i | −0.980116 | − | 0.198427i | ||||
\(163\) | 16.4303 | + | 16.4303i | 1.28692 | + | 1.28692i | 0.936646 | + | 0.350278i | \(0.113913\pi\) |
0.350278 | + | 0.936646i | \(0.386087\pi\) | |||||||
\(164\) | −6.29185 | − | 1.59923i | −0.491311 | − | 0.124879i | ||||
\(165\) | −2.73443 | + | 5.29137i | −0.212875 | + | 0.411933i | ||||
\(166\) | −8.35017 | − | 1.04460i | −0.648099 | − | 0.0810763i | ||||
\(167\) | −11.8153 | − | 6.82158i | −0.914297 | − | 0.527870i | −0.0324861 | − | 0.999472i | \(-0.510342\pi\) |
−0.881811 | + | 0.471602i | \(0.843676\pi\) | |||||||
\(168\) | −7.06787 | − | 14.3136i | −0.545298 | − | 1.10432i | ||||
\(169\) | 15.1054 | − | 8.72112i | 1.16196 | − | 0.670855i | ||||
\(170\) | −17.5027 | + | 7.38241i | −1.34239 | + | 0.566205i | ||||
\(171\) | −3.35410 | + | 19.7109i | −0.256494 | + | 1.50733i | ||||
\(172\) | 12.4892 | − | 0.161057i | 0.952292 | − | 0.0122805i | ||||
\(173\) | 1.15666 | − | 4.31671i | 0.0879391 | − | 0.328193i | −0.907915 | − | 0.419153i | \(-0.862327\pi\) |
0.995855 | + | 0.0909602i | \(0.0289936\pi\) | |||||||
\(174\) | −6.35395 | − | 4.36029i | −0.481692 | − | 0.330553i | ||||
\(175\) | 2.03024 | − | 3.51648i | 0.153472 | − | 0.265821i | ||||
\(176\) | −5.27773 | + | 1.56110i | −0.397824 | + | 0.117672i | ||||
\(177\) | 0.846482 | − | 3.87303i | 0.0636255 | − | 0.291114i | ||||
\(178\) | −8.57875 | + | 1.18573i | −0.643005 | + | 0.0888744i | ||||
\(179\) | −17.9090 | − | 17.9090i | −1.33858 | − | 1.33858i | −0.897435 | − | 0.441146i | \(-0.854572\pi\) |
−0.441146 | − | 0.897435i | \(-0.645428\pi\) | |||||||
\(180\) | 6.07963 | − | 13.7076i | 0.453149 | − | 1.02170i | ||||
\(181\) | 9.03811 | − | 9.03811i | 0.671797 | − | 0.671797i | −0.286333 | − | 0.958130i | \(-0.592436\pi\) |
0.958130 | + | 0.286333i | \(0.0924363\pi\) | |||||||
\(182\) | 20.2711 | + | 15.3479i | 1.50259 | + | 1.13766i | ||||
\(183\) | −2.77574 | + | 3.04744i | −0.205188 | + | 0.225273i | ||||
\(184\) | 1.05033 | − | 9.37605i | 0.0774311 | − | 0.691211i | ||||
\(185\) | −17.9396 | − | 10.3574i | −1.31894 | − | 0.761493i | ||||
\(186\) | −1.97999 | − | 2.31493i | −0.145180 | − | 0.169739i | ||||
\(187\) | −7.14305 | − | 1.91398i | −0.522352 | − | 0.139964i | ||||
\(188\) | −6.23021 | − | 6.07157i | −0.454385 | − | 0.442815i | ||||
\(189\) | 10.4276 | + | 13.3399i | 0.758495 | + | 0.970334i | ||||
\(190\) | −21.8207 | − | 8.87402i | −1.58304 | − | 0.643789i | ||||
\(191\) | 5.50837 | + | 9.54078i | 0.398572 | + | 0.690346i | 0.993550 | − | 0.113395i | \(-0.0361727\pi\) |
−0.594978 | + | 0.803742i | \(0.702839\pi\) | |||||||
\(192\) | 13.0300 | − | 4.71368i | 0.940360 | − | 0.340181i | ||||
\(193\) | −8.22204 | + | 14.2410i | −0.591836 | + | 1.02509i | 0.402149 | + | 0.915574i | \(0.368263\pi\) |
−0.993985 | + | 0.109515i | \(0.965070\pi\) | |||||||
\(194\) | 4.94552 | − | 3.84575i | 0.355068 | − | 0.276109i | ||||
\(195\) | 1.11317 | + | 23.8579i | 0.0797158 | + | 1.70850i | ||||
\(196\) | −1.78255 | + | 7.01307i | −0.127325 | + | 0.500934i | ||||
\(197\) | 2.20874 | − | 2.20874i | 0.157366 | − | 0.157366i | −0.624033 | − | 0.781398i | \(-0.714507\pi\) |
0.781398 | + | 0.624033i | \(0.214507\pi\) | |||||||
\(198\) | 5.14414 | − | 2.75967i | 0.365578 | − | 0.196121i | ||||
\(199\) | − | 11.9387i | − | 0.846312i | −0.906057 | − | 0.423156i | \(-0.860922\pi\) | ||
0.906057 | − | 0.423156i | \(-0.139078\pi\) | |||||||
\(200\) | 2.83716 | + | 2.09111i | 0.200618 | + | 0.147864i | ||||
\(201\) | −0.196682 | − | 0.0429865i | −0.0138729 | − | 0.00303203i | ||||
\(202\) | −3.13582 | + | 25.0668i | −0.220636 | + | 1.76369i | ||||
\(203\) | 2.65326 | + | 9.90212i | 0.186223 | + | 0.694992i | ||||
\(204\) | 18.2383 | + | 3.74039i | 1.27694 | + | 0.261880i | ||||
\(205\) | −2.09963 | + | 7.83594i | −0.146645 | + | 0.547286i | ||||
\(206\) | −5.37327 | + | 13.2125i | −0.374373 | + | 0.920561i | ||||
\(207\) | 0.931794 | + | 9.96353i | 0.0647642 | + | 0.692513i | ||||
\(208\) | −15.1981 | + | 16.0029i | −1.05380 | + | 1.10960i | ||||
\(209\) | −4.58515 | − | 7.94172i | −0.317162 | − | 0.549340i | ||||
\(210\) | −17.9988 | + | 8.60072i | −1.24203 | + | 0.593506i | ||||
\(211\) | 5.80646 | − | 1.55584i | 0.399733 | − | 0.107108i | −0.0533513 | − | 0.998576i | \(-0.516990\pi\) |
0.453084 | + | 0.891468i | \(0.350324\pi\) | |||||||
\(212\) | 0.185719 | − | 0.331473i | 0.0127552 | − | 0.0227657i | ||||
\(213\) | 2.55344 | − | 4.94115i | 0.174959 | − | 0.338562i | ||||
\(214\) | 5.73831 | + | 4.34467i | 0.392263 | + | 0.296995i | ||||
\(215\) | − | 15.6079i | − | 1.06445i | ||||||
\(216\) | −12.5148 | + | 7.70589i | −0.851522 | + | 0.524319i | ||||
\(217\) | 4.05231i | 0.275089i | ||||||||
\(218\) | 8.77697 | − | 11.5924i | 0.594452 | − | 0.785134i | ||||
\(219\) | −7.75644 | + | 15.0094i | −0.524131 | + | 1.01424i | ||||
\(220\) | 1.86556 | + | 6.61972i | 0.125776 | + | 0.446301i | ||||
\(221\) | −28.6432 | + | 7.67493i | −1.92675 | + | 0.516271i | ||||
\(222\) | 8.75356 | + | 18.3186i | 0.587501 | + | 1.22947i | ||||
\(223\) | 4.14191 | + | 7.17400i | 0.277363 | + | 0.480407i | 0.970729 | − | 0.240179i | \(-0.0772062\pi\) |
−0.693366 | + | 0.720586i | \(0.743873\pi\) | |||||||
\(224\) | −17.2484 | − | 6.50145i | −1.15246 | − | 0.434396i | ||||
\(225\) | −3.39746 | − | 1.55958i | −0.226497 | − | 0.103972i | ||||
\(226\) | 15.2251 | + | 6.19173i | 1.01276 | + | 0.411868i | ||||
\(227\) | 4.64336 | − | 17.3293i | 0.308191 | − | 1.15018i | −0.621973 | − | 0.783039i | \(-0.713669\pi\) |
0.930164 | − | 0.367145i | \(-0.119665\pi\) | |||||||
\(228\) | 12.7126 | + | 19.2722i | 0.841911 | + | 1.27633i | ||||
\(229\) | 2.45857 | + | 9.17552i | 0.162467 | + | 0.606335i | 0.998350 | + | 0.0574270i | \(0.0182896\pi\) |
−0.835883 | + | 0.548908i | \(0.815044\pi\) | |||||||
\(230\) | −11.6985 | − | 1.46347i | −0.771377 | − | 0.0964983i | ||||
\(231\) | −7.58666 | − | 1.65813i | −0.499166 | − | 0.109097i | ||||
\(232\) | −8.79806 | + | 1.33188i | −0.577621 | + | 0.0874420i | ||||
\(233\) | 6.39614i | 0.419025i | 0.977806 | + | 0.209512i | \(0.0671877\pi\) | ||||
−0.977806 | + | 0.209512i | \(0.932812\pi\) | |||||||
\(234\) | 12.3310 | − | 19.8974i | 0.806105 | − | 1.30073i | ||||
\(235\) | −7.68686 | + | 7.68686i | −0.501435 | + | 0.501435i | ||||
\(236\) | −2.33981 | − | 3.93461i | −0.152308 | − | 0.256121i | ||||
\(237\) | −0.179511 | − | 3.84733i | −0.0116605 | − | 0.249911i | ||||
\(238\) | −15.2037 | − | 19.5515i | −0.985508 | − | 1.26734i | ||||
\(239\) | 12.4015 | − | 21.4800i | 0.802187 | − | 1.38943i | −0.115987 | − | 0.993251i | \(-0.537003\pi\) |
0.918174 | − | 0.396178i | \(-0.129664\pi\) | |||||||
\(240\) | −5.67982 | − | 16.3570i | −0.366631 | − | 1.05584i | ||||
\(241\) | 4.32533 | + | 7.49168i | 0.278619 | + | 0.482582i | 0.971042 | − | 0.238910i | \(-0.0767901\pi\) |
−0.692423 | + | 0.721492i | \(0.743457\pi\) | |||||||
\(242\) | 4.85174 | − | 11.9301i | 0.311881 | − | 0.766897i | ||||
\(243\) | 11.3342 | − | 10.7021i | 0.727090 | − | 0.686542i | ||||
\(244\) | 0.0613754 | + | 4.75938i | 0.00392916 | + | 0.304688i | ||||
\(245\) | 8.73415 | + | 2.34031i | 0.558005 | + | 0.149517i | ||||
\(246\) | 6.04226 | − | 5.16803i | 0.385241 | − | 0.329501i | ||||
\(247\) | −31.8458 | − | 18.3862i | −2.02630 | − | 1.16989i | ||||
\(248\) | −3.49557 | − | 0.391582i | −0.221969 | − | 0.0248655i | ||||
\(249\) | 6.94023 | − | 7.61957i | 0.439819 | − | 0.482871i | ||||
\(250\) | −8.00894 | + | 10.5780i | −0.506530 | + | 0.669010i | ||||
\(251\) | −1.34312 | + | 1.34312i | −0.0847772 | + | 0.0847772i | −0.748224 | − | 0.663446i | \(-0.769093\pi\) |
0.663446 | + | 0.748224i | \(0.269093\pi\) | |||||||
\(252\) | 19.3148 | + | 3.03097i | 1.21672 | + | 0.190933i | ||||
\(253\) | −3.24540 | − | 3.24540i | −0.204037 | − | 0.204037i | ||||
\(254\) | −1.42853 | − | 10.3354i | −0.0896342 | − | 0.648502i | ||||
\(255\) | 4.96752 | − | 22.7286i | 0.311078 | − | 1.42332i | ||||
\(256\) | 7.27497 | − | 14.2504i | 0.454685 | − | 0.890652i | ||||
\(257\) | −13.0905 | + | 22.6734i | −0.816563 | + | 1.41433i | 0.0916380 | + | 0.995792i | \(0.470790\pi\) |
−0.908201 | + | 0.418535i | \(0.862544\pi\) | |||||||
\(258\) | −8.65553 | + | 12.6131i | −0.538870 | + | 0.785258i | ||||
\(259\) | 6.99029 | − | 26.0881i | 0.434356 | − | 1.62104i | ||||
\(260\) | 19.7509 | + | 19.2480i | 1.22490 | + | 1.19371i | ||||
\(261\) | 8.84942 | − | 3.28102i | 0.547765 | − | 0.203090i | ||||
\(262\) | 8.35634 | + | 19.8117i | 0.516256 | + | 1.22397i | ||||
\(263\) | −6.75594 | + | 3.90054i | −0.416589 | + | 0.240518i | −0.693617 | − | 0.720344i | \(-0.743984\pi\) |
0.277028 | + | 0.960862i | \(0.410651\pi\) | |||||||
\(264\) | 2.16343 | − | 6.38411i | 0.133150 | − | 0.392915i | ||||
\(265\) | −0.411185 | − | 0.237398i | −0.0252589 | − | 0.0145832i | ||||
\(266\) | 3.81243 | − | 30.4753i | 0.233755 | − | 1.86856i | ||||
\(267\) | 4.86945 | − | 9.42284i | 0.298005 | − | 0.576668i | ||||
\(268\) | −0.199809 | + | 0.118821i | −0.0122053 | + | 0.00725816i | ||||
\(269\) | 4.79063 | + | 4.79063i | 0.292090 | + | 0.292090i | 0.837905 | − | 0.545815i | \(-0.183780\pi\) |
−0.545815 | + | 0.837905i | \(0.683780\pi\) | |||||||
\(270\) | 9.42690 | + | 15.7614i | 0.573703 | + | 0.959211i | ||||
\(271\) | −24.8625 | −1.51029 | −0.755144 | − | 0.655559i | \(-0.772433\pi\) | ||||
−0.755144 | + | 0.655559i | \(0.772433\pi\) | |||||||
\(272\) | 18.3345 | − | 11.2256i | 1.11169 | − | 0.680650i | ||||
\(273\) | −29.6708 | + | 9.45283i | −1.79576 | + | 0.572111i | ||||
\(274\) | −11.5678 | − | 14.8759i | −0.698838 | − | 0.898687i | ||||
\(275\) | 1.65615 | − | 0.443764i | 0.0998695 | − | 0.0267599i | ||||
\(276\) | 8.64225 | + | 7.67019i | 0.520202 | + | 0.461691i | ||||
\(277\) | 0.891589 | + | 0.238901i | 0.0535704 | + | 0.0143541i | 0.285505 | − | 0.958377i | \(-0.407839\pi\) |
−0.231934 | + | 0.972731i | \(0.574505\pi\) | |||||||
\(278\) | −21.8711 | + | 9.22496i | −1.31174 | + | 0.553276i | ||||
\(279\) | 3.71459 | − | 0.347390i | 0.222387 | − | 0.0207977i | ||||
\(280\) | −8.40153 | + | 21.4473i | −0.502088 | + | 1.28172i | ||||
\(281\) | 24.6632 | − | 14.2393i | 1.47128 | − | 0.849446i | 0.471804 | − | 0.881703i | \(-0.343603\pi\) |
0.999480 | + | 0.0322571i | \(0.0102695\pi\) | |||||||
\(282\) | 10.4747 | − | 1.94910i | 0.623762 | − | 0.116067i | ||||
\(283\) | −1.71872 | − | 6.41436i | −0.102167 | − | 0.381294i | 0.895841 | − | 0.444375i | \(-0.146574\pi\) |
−0.998008 | + | 0.0630806i | \(0.979907\pi\) | |||||||
\(284\) | −1.74208 | − | 6.18157i | −0.103374 | − | 0.366809i | ||||
\(285\) | 24.2855 | − | 15.5739i | 1.43855 | − | 0.922519i | ||||
\(286\) | 1.46997 | + | 10.6352i | 0.0869209 | + | 0.628871i | ||||
\(287\) | −10.5771 | −0.624344 | ||||||||
\(288\) | −4.48097 | + | 16.3683i | −0.264044 | + | 0.964511i | ||||
\(289\) | 11.8855 | 0.699145 | ||||||||
\(290\) | 1.52242 | + | 11.0147i | 0.0893998 | + | 0.646806i | ||||
\(291\) | 0.357612 | + | 7.66447i | 0.0209636 | + | 0.449299i | ||||
\(292\) | 5.29182 | + | 18.7774i | 0.309680 | + | 1.09886i | ||||
\(293\) | 2.52439 | + | 9.42116i | 0.147477 | + | 0.550390i | 0.999633 | + | 0.0271023i | \(0.00862799\pi\) |
−0.852156 | + | 0.523288i | \(0.824705\pi\) | |||||||
\(294\) | −5.76042 | − | 6.73487i | −0.335955 | − | 0.392786i | ||||
\(295\) | −4.95402 | + | 2.86020i | −0.288434 | + | 0.166527i | ||||
\(296\) | 21.8284 | + | 8.55084i | 1.26875 | + | 0.497008i | ||||
\(297\) | −0.869562 | + | 7.09653i | −0.0504571 | + | 0.411783i | ||||
\(298\) | 17.2365 | − | 7.27015i | 0.998484 | − | 0.421148i | ||||
\(299\) | −17.7773 | − | 4.76340i | −1.02809 | − | 0.275475i | ||||
\(300\) | −4.09571 | + | 1.36327i | −0.236466 | + | 0.0787086i | ||||
\(301\) | 19.6565 | − | 5.26694i | 1.13298 | − | 0.303582i | ||||
\(302\) | 10.3690 | + | 13.3343i | 0.596670 | + | 0.767302i | ||||
\(303\) | −22.8736 | − | 20.8342i | −1.31405 | − | 1.19690i | ||||
\(304\) | 25.9200 | + | 6.23352i | 1.48661 | + | 0.357517i | ||||
\(305\) | 5.94786 | 0.340574 | ||||||||
\(306\) | −16.6187 | + | 15.6127i | −0.950030 | + | 0.892518i | ||||
\(307\) | −4.55233 | − | 4.55233i | −0.259815 | − | 0.259815i | 0.565164 | − | 0.824979i | \(-0.308813\pi\) |
−0.824979 | + | 0.565164i | \(0.808813\pi\) | |||||||
\(308\) | −7.70729 | + | 4.58332i | −0.439163 | + | 0.261159i | ||||
\(309\) | −9.43010 | − | 14.7050i | −0.536459 | − | 0.836540i | ||||
\(310\) | −0.545609 | + | 4.36143i | −0.0309885 | + | 0.247712i | ||||
\(311\) | 5.56997 | + | 3.21582i | 0.315844 | + | 0.182353i | 0.649539 | − | 0.760329i | \(-0.274962\pi\) |
−0.333695 | + | 0.942681i | \(0.608295\pi\) | |||||||
\(312\) | −5.28698 | − | 26.5078i | −0.299316 | − | 1.50071i | ||||
\(313\) | 2.90181 | − | 1.67536i | 0.164020 | − | 0.0946969i | −0.415743 | − | 0.909482i | \(-0.636478\pi\) |
0.579763 | + | 0.814785i | \(0.303145\pi\) | |||||||
\(314\) | 8.24803 | + | 19.5549i | 0.465463 | + | 1.10355i | ||||
\(315\) | 4.09844 | − | 24.0852i | 0.230921 | − | 1.35705i | ||||
\(316\) | −3.18504 | − | 3.10394i | −0.179173 | − | 0.174610i | ||||
\(317\) | 3.92134 | − | 14.6346i | 0.220244 | − | 0.821963i | −0.764010 | − | 0.645204i | \(-0.776772\pi\) |
0.984254 | − | 0.176758i | \(-0.0565611\pi\) | |||||||
\(318\) | 0.200637 | + | 0.419873i | 0.0112511 | + | 0.0235453i | ||||
\(319\) | −2.16438 | + | 3.74881i | −0.121182 | + | 0.209893i | ||||
\(320\) | −17.6888 | − | 9.31974i | −0.988833 | − | 0.520989i | ||||
\(321\) | −8.39917 | + | 2.67590i | −0.468796 | + | 0.149354i | ||||
\(322\) | −2.10462 | − | 15.2269i | −0.117286 | − | 0.848560i | ||||
\(323\) | 25.3284 | + | 25.3284i | 1.40931 | + | 1.40931i | ||||
\(324\) | 1.12258 | − | 17.9650i | 0.0623654 | − | 0.998053i | ||||
\(325\) | 4.86159 | − | 4.86159i | 0.269672 | − | 0.269672i | ||||
\(326\) | −19.8358 | + | 26.1986i | −1.09860 | + | 1.45100i | ||||
\(327\) | 5.40577 | + | 16.9678i | 0.298940 | + | 0.938319i | ||||
\(328\) | 1.02208 | − | 9.12388i | 0.0564349 | − | 0.503782i | ||||
\(329\) | −12.2747 | − | 7.08682i | −0.676728 | − | 0.390709i | ||||
\(330\) | −7.94212 | − | 2.80609i | −0.437200 | − | 0.154470i | ||||
\(331\) | 10.0096 | + | 2.68206i | 0.550177 | + | 0.147420i | 0.523190 | − | 0.852216i | \(-0.324742\pi\) |
0.0269876 | + | 0.999636i | \(0.491409\pi\) | |||||||
\(332\) | −0.153458 | − | 11.9000i | −0.00842212 | − | 0.653096i | ||||
\(333\) | −24.5132 | − | 4.17128i | −1.34331 | − | 0.228585i | ||||
\(334\) | 7.26854 | − | 17.8729i | 0.397717 | − | 0.977961i | ||||
\(335\) | 0.145248 | + | 0.251578i | 0.00793577 | + | 0.0137452i | ||||
\(336\) | 18.6833 | − | 12.6729i | 1.01926 | − | 0.691361i | ||||
\(337\) | 6.52225 | − | 11.2969i | 0.355289 | − | 0.615379i | −0.631878 | − | 0.775068i | \(-0.717716\pi\) |
0.987167 | + | 0.159689i | \(0.0510490\pi\) | |||||||
\(338\) | 15.1422 | + | 19.4725i | 0.823628 | + | 1.05916i | ||||
\(339\) | −16.9449 | + | 10.8665i | −0.920321 | + | 0.590187i | ||||
\(340\) | −13.7310 | − | 23.0900i | −0.744668 | − | 1.25223i | ||||
\(341\) | −1.20995 | + | 1.20995i | −0.0655223 | + | 0.0655223i | ||||
\(342\) | −28.2623 | − | 0.882155i | −1.52825 | − | 0.0477015i | ||||
\(343\) | − | 11.0203i | − | 0.595038i | ||||||
\(344\) | 2.64388 | + | 17.4649i | 0.142549 | + | 0.941643i | ||||
\(345\) | 9.72320 | − | 10.6750i | 0.523480 | − | 0.574720i | ||||
\(346\) | 6.27122 | + | 0.784522i | 0.337143 | + | 0.0421761i | ||||
\(347\) | −6.30523 | − | 23.5314i | −0.338482 | − | 1.26323i | −0.900044 | − | 0.435798i | \(-0.856466\pi\) |
0.561562 | − | 0.827435i | \(-0.310201\pi\) | |||||||
\(348\) | 4.87801 | − | 9.74550i | 0.261489 | − | 0.522414i | ||||
\(349\) | −7.44289 | + | 27.7772i | −0.398409 | + | 1.48688i | 0.417487 | + | 0.908683i | \(0.362911\pi\) |
−0.815896 | + | 0.578199i | \(0.803756\pi\) | |||||||
\(350\) | 5.31933 | + | 2.16326i | 0.284330 | + | 0.115631i | ||||
\(351\) | 11.2086 | + | 26.3876i | 0.598271 | + | 1.40847i | ||||
\(352\) | −3.20885 | − | 7.09128i | −0.171032 | − | 0.377967i | ||||
\(353\) | 17.6048 | + | 30.4924i | 0.937010 | + | 1.62295i | 0.771011 | + | 0.636822i | \(0.219752\pi\) |
0.165999 | + | 0.986126i | \(0.446915\pi\) | |||||||
\(354\) | 5.58961 | + | 0.435906i | 0.297084 | + | 0.0231681i | ||||
\(355\) | −7.75199 | + | 2.07714i | −0.411433 | + | 0.110243i | ||||
\(356\) | −3.32218 | − | 11.7883i | −0.176075 | − | 0.624781i | ||||
\(357\) | 30.3005 | − | 1.41378i | 1.60367 | − | 0.0748249i | ||||
\(358\) | 21.6209 | − | 28.5563i | 1.14270 | − | 1.50925i | ||||
\(359\) | 17.6127i | 0.929564i | 0.885425 | + | 0.464782i | \(0.153867\pi\) | ||||
−0.885425 | + | 0.464782i | \(0.846133\pi\) | |||||||
\(360\) | 20.3801 | + | 5.86275i | 1.07412 | + | 0.308994i | ||||
\(361\) | 25.4188i | 1.33783i | ||||||||
\(362\) | 14.4115 | + | 10.9114i | 0.757450 | + | 0.573491i | ||||
\(363\) | 8.51480 | + | 13.2777i | 0.446911 | + | 0.696901i | ||||
\(364\) | −17.5757 | + | 31.3694i | −0.921220 | + | 1.64420i | ||||
\(365\) | 23.5477 | − | 6.30960i | 1.23255 | − | 0.330259i | ||||
\(366\) | −4.80660 | − | 3.29845i | −0.251245 | − | 0.172413i | ||||
\(367\) | −8.31959 | − | 14.4100i | −0.434279 | − | 0.752193i | 0.562957 | − | 0.826486i | \(-0.309663\pi\) |
−0.997236 | + | 0.0742925i | \(0.976330\pi\) | |||||||
\(368\) | 13.3382 | − | 0.344068i | 0.695304 | − | 0.0179358i | ||||
\(369\) | 0.906734 | + | 9.69556i | 0.0472027 | + | 0.504731i | ||||
\(370\) | 11.0361 | − | 27.1370i | 0.573737 | − | 1.41078i | ||||
\(371\) | 0.160221 | − | 0.597954i | 0.00831828 | − | 0.0310442i | ||||
\(372\) | 2.85959 | − | 3.22199i | 0.148263 | − | 0.167053i | ||||
\(373\) | 0.864710 | + | 3.22714i | 0.0447730 | + | 0.167095i | 0.984692 | − | 0.174302i | \(-0.0557667\pi\) |
−0.939919 | + | 0.341397i | \(0.889100\pi\) | |||||||
\(374\) | 1.29818 | − | 10.3773i | 0.0671275 | − | 0.536596i | ||||
\(375\) | −4.93274 | − | 15.4830i | −0.254726 | − | 0.799539i | ||||
\(376\) | 7.29929 | − | 9.90350i | 0.376432 | − | 0.510734i | ||||
\(377\) | 17.3580i | 0.893984i | ||||||||
\(378\) | −16.6687 | + | 17.1909i | −0.857346 | + | 0.884206i | ||||
\(379\) | −10.2384 | + | 10.2384i | −0.525910 | + | 0.525910i | −0.919350 | − | 0.393440i | \(-0.871285\pi\) |
0.393440 | + | 0.919350i | \(0.371285\pi\) | |||||||
\(380\) | 8.20648 | − | 32.2867i | 0.420984 | − | 1.65627i | ||||
\(381\) | 11.3523 | + | 5.86656i | 0.581598 | + | 0.300553i | ||||
\(382\) | −12.2991 | + | 9.56401i | −0.629275 | + | 0.489338i | ||||
\(383\) | 5.44755 | − | 9.43544i | 0.278357 | − | 0.482128i | −0.692620 | − | 0.721303i | \(-0.743544\pi\) |
0.970977 | + | 0.239175i | \(0.0768769\pi\) | |||||||
\(384\) | 9.12635 | + | 17.3410i | 0.465727 | + | 0.884928i | ||||
\(385\) | 5.60270 | + | 9.70416i | 0.285540 | + | 0.494570i | ||||
\(386\) | −21.5422 | − | 8.76077i | −1.09647 | − | 0.445911i | ||||
\(387\) | −6.51308 | − | 17.5668i | −0.331079 | − | 0.892971i | ||||
\(388\) | 6.34508 | + | 6.18352i | 0.322123 | + | 0.313921i | ||||
\(389\) | −13.9149 | − | 3.72849i | −0.705513 | − | 0.189042i | −0.111815 | − | 0.993729i | \(-0.535666\pi\) |
−0.593699 | + | 0.804687i | \(0.702333\pi\) | |||||||
\(390\) | −33.2068 | + | 6.17899i | −1.68149 | + | 0.312885i | ||||
\(391\) | 15.5258 | + | 8.96381i | 0.785172 | + | 0.453319i | ||||
\(392\) | −10.1697 | − | 1.13924i | −0.513649 | − | 0.0575402i | ||||
\(393\) | −25.7271 | − | 5.62287i | −1.29776 | − | 0.283636i | ||||
\(394\) | 3.52188 | + | 2.66653i | 0.177430 | + | 0.134338i | ||||
\(395\) | −3.92972 | + | 3.92972i | −0.197725 | + | 0.197725i | ||||
\(396\) | 4.86206 | + | 6.67205i | 0.244328 | + | 0.335283i | ||||
\(397\) | 15.4247 | + | 15.4247i | 0.774145 | + | 0.774145i | 0.978828 | − | 0.204683i | \(-0.0656165\pi\) |
−0.204683 | + | 0.978828i | \(0.565616\pi\) | |||||||
\(398\) | 16.7249 | − | 2.31167i | 0.838342 | − | 0.115873i | ||||
\(399\) | 27.8089 | + | 25.3295i | 1.39219 | + | 1.26806i | ||||
\(400\) | −2.38007 | + | 4.37947i | −0.119003 | + | 0.218973i | ||||
\(401\) | −3.21720 | + | 5.57235i | −0.160659 | + | 0.278270i | −0.935105 | − | 0.354370i | \(-0.884695\pi\) |
0.774446 | + | 0.632640i | \(0.218029\pi\) | |||||||
\(402\) | 0.0221364 | − | 0.283854i | 0.00110406 | − | 0.0141574i | ||||
\(403\) | −1.77589 | + | 6.62770i | −0.0884633 | + | 0.330149i | ||||
\(404\) | −35.7231 | + | 0.460674i | −1.77729 | + | 0.0229194i | ||||
\(405\) | −22.4292 | − | 1.69214i | −1.11452 | − | 0.0840832i | ||||
\(406\) | −13.3581 | + | 5.63428i | −0.662951 | + | 0.279624i | ||||
\(407\) | 9.87661 | − | 5.70227i | 0.489566 | − | 0.282651i | ||||
\(408\) | −1.70845 | + | 26.2742i | −0.0845810 | + | 1.30077i | ||||
\(409\) | −31.8642 | − | 18.3968i | −1.57558 | − | 0.909663i | −0.995465 | − | 0.0951294i | \(-0.969674\pi\) |
−0.580117 | − | 0.814533i | \(-0.696993\pi\) | |||||||
\(410\) | −11.3839 | − | 1.42411i | −0.562210 | − | 0.0703318i | ||||
\(411\) | 23.0544 | − | 1.07568i | 1.13719 | − | 0.0530594i | ||||
\(412\) | −19.5498 | − | 4.96907i | −0.963149 | − | 0.244809i | ||||
\(413\) | −5.27387 | − | 5.27387i | −0.259510 | − | 0.259510i | ||||
\(414\) | −13.7774 | + | 3.23457i | −0.677124 | + | 0.158970i | ||||
\(415\) | −14.8716 | −0.730017 | ||||||||
\(416\) | −25.3612 | − | 18.1923i | −1.24344 | − | 0.891952i | ||||
\(417\) | 6.20735 | − | 28.4013i | 0.303975 | − | 1.39082i | ||||
\(418\) | 10.2377 | − | 7.96106i | 0.500742 | − | 0.389388i | ||||
\(419\) | 21.5747 | − | 5.78093i | 1.05399 | − | 0.282417i | 0.310093 | − | 0.950706i | \(-0.399640\pi\) |
0.743901 | + | 0.668290i | \(0.232973\pi\) | |||||||
\(420\) | −15.5338 | − | 23.5491i | −0.757970 | − | 1.14908i | ||||
\(421\) | −8.71347 | − | 2.33477i | −0.424669 | − | 0.113790i | 0.0401539 | − | 0.999194i | \(-0.487215\pi\) |
−0.464822 | + | 0.885404i | \(0.653882\pi\) | |||||||
\(422\) | 3.30386 | + | 7.83299i | 0.160829 | + | 0.381304i | ||||
\(423\) | −5.44393 | + | 11.8593i | −0.264693 | + | 0.576618i | ||||
\(424\) | 0.500319 | + | 0.195990i | 0.0242977 | + | 0.00951812i | ||||
\(425\) | −5.79996 | + | 3.34861i | −0.281340 | + | 0.162431i | ||||
\(426\) | 7.41645 | + | 2.62036i | 0.359328 | + | 0.126957i | ||||
\(427\) | 2.00713 | + | 7.49070i | 0.0971316 | + | 0.362500i | ||||
\(428\) | −4.97533 | + | 8.88002i | −0.240492 | + | 0.429232i | ||||
\(429\) | −11.6816 | − | 6.03671i | −0.563993 | − | 0.291455i | ||||
\(430\) | 21.8651 | − | 3.02213i | 1.05443 | − | 0.145740i | ||||
\(431\) | −2.82883 | −0.136260 | −0.0681299 | − | 0.997676i | \(-0.521703\pi\) | ||||
−0.0681299 | + | 0.997676i | \(0.521703\pi\) | |||||||
\(432\) | −13.2184 | − | 16.0398i | −0.635968 | − | 0.771715i | ||||
\(433\) | −9.90919 | −0.476205 | −0.238103 | − | 0.971240i | \(-0.576525\pi\) | ||||
−0.238103 | + | 0.971240i | \(0.576525\pi\) | |||||||
\(434\) | −5.67687 | + | 0.784642i | −0.272498 | + | 0.0376640i | ||||
\(435\) | −12.0985 | − | 6.25214i | −0.580077 | − | 0.299767i | ||||
\(436\) | 17.9392 | + | 10.0510i | 0.859130 | + | 0.481356i | ||||
\(437\) | 5.75390 | + | 21.4739i | 0.275246 | + | 1.02723i | ||||
\(438\) | −22.5285 | − | 7.95971i | −1.07645 | − | 0.380330i | ||||
\(439\) | −5.53112 | + | 3.19339i | −0.263986 | + | 0.152412i | −0.626151 | − | 0.779701i | \(-0.715371\pi\) |
0.362166 | + | 0.932114i | \(0.382037\pi\) | |||||||
\(440\) | −8.91231 | + | 3.89522i | −0.424878 | + | 0.185697i | ||||
\(441\) | 10.8069 | − | 1.01067i | 0.514616 | − | 0.0481272i | ||||
\(442\) | −16.2979 | − | 38.6401i | −0.775212 | − | 1.83792i | ||||
\(443\) | 16.1600 | + | 4.33005i | 0.767783 | + | 0.205727i | 0.621392 | − | 0.783500i | \(-0.286568\pi\) |
0.146391 | + | 0.989227i | \(0.453234\pi\) | |||||||
\(444\) | −23.9676 | + | 15.8098i | −1.13745 | + | 0.750301i | ||||
\(445\) | −14.7831 | + | 3.96113i | −0.700788 | + | 0.187776i | ||||
\(446\) | −9.24804 | + | 7.19148i | −0.437907 | + | 0.340526i | ||||
\(447\) | −4.89198 | + | 22.3830i | −0.231383 | + | 1.05868i | ||||
\(448\) | 5.76807 | − | 25.4221i | 0.272516 | − | 1.20108i | ||||
\(449\) | −23.7209 | −1.11946 | −0.559729 | − | 0.828676i | \(-0.689095\pi\) | ||||
−0.559729 | + | 0.828676i | \(0.689095\pi\) | |||||||
\(450\) | 1.52697 | − | 5.06146i | 0.0719820 | − | 0.238600i | ||||
\(451\) | −3.15812 | − | 3.15812i | −0.148710 | − | 0.148710i | ||||
\(452\) | −5.72597 | + | 22.5276i | −0.269327 | + | 1.05961i | ||||
\(453\) | −20.6652 | + | 0.964205i | −0.970935 | + | 0.0453023i | ||||
\(454\) | 25.1756 | + | 3.14943i | 1.18155 | + | 0.147810i | ||||
\(455\) | 38.9131 | + | 22.4665i | 1.82427 | + | 1.05324i | ||||
\(456\) | −24.5368 | + | 21.5406i | −1.14904 | + | 1.00873i | ||||
\(457\) | 25.8782 | − | 14.9408i | 1.21053 | − | 0.698901i | 0.247657 | − | 0.968848i | \(-0.420339\pi\) |
0.962875 | + | 0.269946i | \(0.0870060\pi\) | |||||||
\(458\) | −12.3779 | + | 5.22084i | −0.578381 | + | 0.243954i | ||||
\(459\) | −3.89351 | − | 27.6541i | −0.181733 | − | 1.29078i | ||||
\(460\) | −0.214994 | − | 16.6718i | −0.0100241 | − | 0.777325i | ||||
\(461\) | −7.22887 | + | 26.9785i | −0.336682 | + | 1.25651i | 0.565352 | + | 0.824850i | \(0.308740\pi\) |
−0.902034 | + | 0.431665i | \(0.857926\pi\) | |||||||
\(462\) | 0.853873 | − | 10.9492i | 0.0397258 | − | 0.509402i | ||||
\(463\) | 9.00954 | − | 15.6050i | 0.418709 | − | 0.725225i | −0.577101 | − | 0.816673i | \(-0.695816\pi\) |
0.995810 | + | 0.0914480i | \(0.0291495\pi\) | |||||||
\(464\) | −3.56937 | − | 12.0673i | −0.165704 | − | 0.560209i | ||||
\(465\) | −3.97982 | − | 3.62500i | −0.184560 | − | 0.168105i | ||||
\(466\) | −8.96032 | + | 1.23847i | −0.415079 | + | 0.0573711i | ||||
\(467\) | 3.24566 | + | 3.24566i | 0.150191 | + | 0.150191i | 0.778204 | − | 0.628012i | \(-0.216131\pi\) |
−0.628012 | + | 0.778204i | \(0.716131\pi\) | |||||||
\(468\) | 30.2618 | + | 13.4218i | 1.39885 | + | 0.620423i | ||||
\(469\) | −0.267820 | + | 0.267820i | −0.0123668 | + | 0.0123668i | ||||
\(470\) | −12.2569 | − | 9.28009i | −0.565368 | − | 0.428059i | ||||
\(471\) | −25.3936 | − | 5.54998i | −1.17008 | − | 0.255730i | ||||
\(472\) | 5.05892 | − | 4.03967i | 0.232856 | − | 0.185941i | ||||
\(473\) | 7.44169 | + | 4.29646i | 0.342169 | + | 0.197552i | ||||
\(474\) | 5.35495 | − | 0.996428i | 0.245961 | − | 0.0457674i | ||||
\(475\) | −8.02199 | − | 2.14949i | −0.368074 | − | 0.0986252i | ||||
\(476\) | 24.4458 | − | 25.0845i | 1.12047 | − | 1.14975i | ||||
\(477\) | −0.561856 | − | 0.0956080i | −0.0257256 | − | 0.00437759i | ||||
\(478\) | 32.4926 | + | 13.2141i | 1.48618 | + | 0.604398i | ||||
\(479\) | −1.27156 | − | 2.20241i | −0.0580991 | − | 0.100631i | 0.835513 | − | 0.549471i | \(-0.185171\pi\) |
−0.893612 | + | 0.448840i | \(0.851837\pi\) | |||||||
\(480\) | 21.8147 | − | 11.1240i | 0.995702 | − | 0.507740i | ||||
\(481\) | 22.8657 | − | 39.6046i | 1.04259 | − | 1.80582i | ||||
\(482\) | −9.65756 | + | 7.50993i | −0.439890 | + | 0.342068i | ||||
\(483\) | 16.7251 | + | 8.64304i | 0.761018 | + | 0.393272i | ||||
\(484\) | 17.6523 | + | 4.48677i | 0.802376 | + | 0.203944i | ||||
\(485\) | 7.82859 | − | 7.82859i | 0.355478 | − | 0.355478i | ||||
\(486\) | 17.1872 | + | 13.8058i | 0.779626 | + | 0.626245i | ||||
\(487\) | 26.4554i | 1.19881i | 0.800447 | + | 0.599404i | \(0.204596\pi\) | ||||
−0.800447 | + | 0.599404i | \(0.795404\pi\) | |||||||
\(488\) | −6.65551 | + | 1.00753i | −0.301281 | + | 0.0456087i | ||||
\(489\) | −12.2170 | − | 38.3469i | −0.552470 | − | 1.73411i | ||||
\(490\) | −1.58735 | + | 12.6888i | −0.0717092 | + | 0.573221i | ||||
\(491\) | 5.87672 | + | 21.9322i | 0.265213 | + | 0.989787i | 0.962120 | + | 0.272626i | \(0.0878921\pi\) |
−0.696907 | + | 0.717161i | \(0.745441\pi\) | |||||||
\(492\) | 8.40982 | + | 7.46390i | 0.379144 | + | 0.336499i | ||||
\(493\) | 4.37621 | − | 16.3322i | 0.197095 | − | 0.735567i | ||||
\(494\) | 19.5909 | − | 48.1727i | 0.881436 | − | 2.16739i | ||||
\(495\) | 8.41511 | − | 5.96767i | 0.378231 | − | 0.268227i | ||||
\(496\) | −0.128275 | − | 4.97275i | −0.00575973 | − | 0.223283i | ||||
\(497\) | −5.23187 | − | 9.06186i | −0.234681 | − | 0.406480i | ||||
\(498\) | 12.0180 | + | 8.24718i | 0.538542 | + | 0.369565i | ||||
\(499\) | −27.4125 | + | 7.34516i | −1.22715 | + | 0.328815i | −0.813470 | − | 0.581606i | \(-0.802424\pi\) |
−0.413683 | + | 0.910421i | \(0.635758\pi\) | |||||||
\(500\) | −16.3694 | − | 9.17150i | −0.732062 | − | 0.410162i | ||||
\(501\) | 12.7563 | + | 19.8918i | 0.569910 | + | 0.888701i | ||||
\(502\) | −2.14164 | − | 1.62151i | −0.0955862 | − | 0.0723715i | ||||
\(503\) | − | 32.0583i | − | 1.42941i | −0.699427 | − | 0.714704i | \(-0.746561\pi\) | ||
0.699427 | − | 0.714704i | \(-0.253439\pi\) | |||||||
\(504\) | −0.506180 | + | 27.6449i | −0.0225470 | + | 1.23140i | ||||
\(505\) | 44.6437i | 1.98662i | ||||||||
\(506\) | 3.91807 | − | 5.17487i | 0.174179 | − | 0.230051i | ||||
\(507\) | −30.1780 | + | 1.40806i | −1.34025 | + | 0.0625341i | ||||
\(508\) | 14.2022 | − | 4.00245i | 0.630122 | − | 0.177580i | ||||
\(509\) | −26.6932 | + | 7.15242i | −1.18316 | + | 0.317025i | −0.796177 | − | 0.605064i | \(-0.793148\pi\) |
−0.386978 | + | 0.922089i | \(0.626481\pi\) | |||||||
\(510\) | 32.8022 | + | 2.55809i | 1.45251 | + | 0.113274i | ||||
\(511\) | 15.8925 | + | 27.5267i | 0.703044 | + | 1.21771i | ||||
\(512\) | 21.3720 | + | 7.43218i | 0.944518 | + | 0.328459i | ||||
\(513\) | 20.8346 | − | 27.6627i | 0.919871 | − | 1.22134i | ||||
\(514\) | −34.2977 | − | 13.9482i | −1.51281 | − | 0.615229i | ||||
\(515\) | −6.52390 | + | 24.3475i | −0.287477 | + | 1.07288i | ||||
\(516\) | −19.3456 | − | 9.68324i | −0.851643 | − | 0.426281i | ||||
\(517\) | −1.54902 | − | 5.78101i | −0.0681256 | − | 0.254248i | ||||
\(518\) | 37.9002 | + | 4.74127i | 1.66524 | + | 0.208320i | ||||
\(519\) | −5.21232 | + | 5.72252i | −0.228795 | + | 0.251191i | ||||
\(520\) | −23.1401 | + | 31.3959i | −1.01476 | + | 1.37680i | ||||
\(521\) | 6.90291i | 0.302422i | 0.988502 | + | 0.151211i | \(0.0483173\pi\) | ||||
−0.988502 | + | 0.151211i | \(0.951683\pi\) | |||||||
\(522\) | 6.30986 | + | 11.7618i | 0.276175 | + | 0.514801i | ||||
\(523\) | 14.2754 | − | 14.2754i | 0.624219 | − | 0.624219i | −0.322389 | − | 0.946607i | \(-0.604486\pi\) |
0.946607 | + | 0.322389i | \(0.104486\pi\) | |||||||
\(524\) | −26.1361 | + | 15.5425i | −1.14176 | + | 0.678976i | ||||
\(525\) | −5.92020 | + | 3.79653i | −0.258379 | + | 0.165694i | ||||
\(526\) | −6.77239 | − | 8.70911i | −0.295290 | − | 0.379735i | ||||
\(527\) | 3.34188 | − | 5.78830i | 0.145574 | − | 0.252142i | ||||
\(528\) | 9.36237 | + | 1.79460i | 0.407445 | + | 0.0780998i | ||||
\(529\) | −5.93666 | − | 10.2826i | −0.258116 | − | 0.447069i | ||||
\(530\) | 0.252953 | − | 0.621994i | 0.0109876 | − | 0.0270177i | ||||
\(531\) | −4.38223 | + | 5.28645i | −0.190173 | + | 0.229413i | ||||
\(532\) | 43.4310 | − | 0.560072i | 1.88297 | − | 0.0242822i | ||||
\(533\) | −17.2992 | − | 4.63529i | −0.749310 | − | 0.200777i | ||||
\(534\) | 14.1433 | + | 4.99706i | 0.612039 | + | 0.216244i | ||||
\(535\) | 11.0155 | + | 6.35979i | 0.476241 | + | 0.274958i | ||||
\(536\) | −0.205145 | − | 0.256905i | −0.00886091 | − | 0.0110966i | ||||
\(537\) | 13.3164 | + | 41.7979i | 0.574646 | + | 1.80371i | ||||
\(538\) | −5.78357 | + | 7.63878i | −0.249348 | + | 0.329331i | ||||
\(539\) | −3.52012 | + | 3.52012i | −0.151622 | + | 0.151622i | ||||
\(540\) | −20.2548 | + | 16.2580i | −0.871629 | + | 0.699631i | ||||
\(541\) | −15.3215 | − | 15.3215i | −0.658723 | − | 0.658723i | 0.296355 | − | 0.955078i | \(-0.404229\pi\) |
−0.955078 | + | 0.296355i | \(0.904229\pi\) | |||||||
\(542\) | −4.81408 | − | 34.8297i | −0.206782 | − | 1.49607i | ||||
\(543\) | −21.0941 | + | 6.72038i | −0.905234 | + | 0.288399i | ||||
\(544\) | 19.2759 | + | 23.5111i | 0.826448 | + | 1.00803i | ||||
\(545\) | 12.8479 | − | 22.2532i | 0.550342 | − | 0.953220i | ||||
\(546\) | −18.9875 | − | 39.7353i | −0.812591 | − | 1.70051i | ||||
\(547\) | −1.09601 | + | 4.09038i | −0.0468622 | + | 0.174892i | −0.985390 | − | 0.170310i | \(-0.945523\pi\) |
0.938528 | + | 0.345202i | \(0.112190\pi\) | |||||||
\(548\) | 18.5997 | − | 19.0857i | 0.794542 | − | 0.815302i | ||||
\(549\) | 6.69436 | − | 2.48200i | 0.285708 | − | 0.105929i | ||||
\(550\) | 0.942343 | + | 2.23417i | 0.0401816 | + | 0.0952651i | ||||
\(551\) | 18.1584 | − | 10.4837i | 0.773572 | − | 0.446622i | ||||
\(552\) | −9.07175 | + | 13.5920i | −0.386119 | + | 0.578516i | ||||
\(553\) | −6.27515 | − | 3.62296i | −0.266847 | − | 0.154064i | ||||
\(554\) | −0.162038 | + | 1.29528i | −0.00688434 | + | 0.0550312i | ||||
\(555\) | 19.3683 | + | 30.2024i | 0.822138 | + | 1.28202i | ||||
\(556\) | −17.1581 | − | 28.8529i | −0.727664 | − | 1.22364i | ||||
\(557\) | 3.77104 | + | 3.77104i | 0.159784 | + | 0.159784i | 0.782471 | − | 0.622687i | \(-0.213959\pi\) |
−0.622687 | + | 0.782471i | \(0.713959\pi\) | |||||||
\(558\) | 1.20591 | + | 5.13649i | 0.0510501 | + | 0.217445i | ||||
\(559\) | 34.4571 | 1.45738 | ||||||||
\(560\) | −31.6721 | − | 7.61688i | −1.33839 | − | 0.321872i | ||||
\(561\) | 9.46931 | + | 8.62506i | 0.399795 | + | 0.364150i | ||||
\(562\) | 24.7233 | + | 31.7935i | 1.04289 | + | 1.34113i | ||||
\(563\) | −17.6273 | + | 4.72321i | −0.742901 | + | 0.199060i | −0.610367 | − | 0.792119i | \(-0.708978\pi\) |
−0.132534 | + | 0.991178i | \(0.542311\pi\) | |||||||
\(564\) | 4.75869 | + | 14.2966i | 0.200377 | + | 0.601997i | ||||
\(565\) | 28.0562 | + | 7.51763i | 1.18033 | + | 0.316269i | ||||
\(566\) | 8.65306 | − | 3.64975i | 0.363715 | − | 0.153411i | ||||
\(567\) | −5.43775 | − | 28.8182i | −0.228364 | − | 1.21025i | ||||
\(568\) | 8.32242 | − | 3.63740i | 0.349201 | − | 0.152622i | ||||
\(569\) | 10.5687 | − | 6.10184i | 0.443062 | − | 0.255802i | −0.261833 | − | 0.965113i | \(-0.584327\pi\) |
0.704896 | + | 0.709311i | \(0.250994\pi\) | |||||||
\(570\) | 26.5198 | + | 31.0059i | 1.11079 | + | 1.29870i | ||||
\(571\) | −2.71820 | − | 10.1445i | −0.113753 | − | 0.424533i | 0.885437 | − | 0.464759i | \(-0.153859\pi\) |
−0.999191 | + | 0.0402258i | \(0.987192\pi\) | |||||||
\(572\) | −14.6141 | + | 4.11854i | −0.611048 | + | 0.172205i | ||||
\(573\) | −0.889348 | − | 19.0608i | −0.0371531 | − | 0.796277i | ||||
\(574\) | −2.04802 | − | 14.8173i | −0.0854825 | − | 0.618464i | ||||
\(575\) | −4.15660 | −0.173342 | ||||||||
\(576\) | −23.7979 | − | 3.10801i | −0.991579 | − | 0.129501i | ||||
\(577\) | −11.0011 | −0.457982 | −0.228991 | − | 0.973429i | \(-0.573543\pi\) | ||||
−0.228991 | + | 0.973429i | \(0.573543\pi\) | |||||||
\(578\) | 2.30136 | + | 16.6503i | 0.0957240 | + | 0.692561i | ||||
\(579\) | 23.9756 | − | 15.3752i | 0.996391 | − | 0.638970i | ||||
\(580\) | −15.1357 | + | 4.26551i | −0.628474 | + | 0.177116i | ||||
\(581\) | −5.01846 | − | 18.7291i | −0.208201 | − | 0.777016i | ||||
\(582\) | −10.6679 | + | 1.98503i | −0.442198 | + | 0.0822823i | ||||
\(583\) | 0.226378 | − | 0.130699i | 0.00937560 | − | 0.00541300i | ||||
\(584\) | −25.2805 | + | 11.0491i | −1.04612 | + | 0.457216i | ||||
\(585\) | 17.2582 | − | 37.5960i | 0.713540 | − | 1.55440i | ||||
\(586\) | −12.7093 | + | 5.36061i | −0.525015 | + | 0.221445i | ||||
\(587\) | 16.5549 | + | 4.43586i | 0.683292 | + | 0.183088i | 0.583735 | − | 0.811944i | \(-0.301591\pi\) |
0.0995570 | + | 0.995032i | \(0.468257\pi\) | |||||||
\(588\) | 8.31947 | − | 9.37381i | 0.343089 | − | 0.386569i | ||||
\(589\) | 8.00586 | − | 2.14516i | 0.329876 | − | 0.0883900i | ||||
\(590\) | −4.96608 | − | 6.38624i | −0.204450 | − | 0.262918i | ||||
\(591\) | −5.15498 | + | 1.64233i | −0.212048 | + | 0.0675564i | ||||
\(592\) | −7.75224 | + | 32.2350i | −0.318615 | + | 1.32485i | ||||
\(593\) | 38.5906 | 1.58472 | 0.792362 | − | 0.610051i | \(-0.208851\pi\) | ||||
0.792362 | + | 0.610051i | \(0.208851\pi\) | |||||||
\(594\) | −10.1099 | + | 0.155923i | −0.414813 | + | 0.00639762i | ||||
\(595\) | −30.9493 | − | 30.9493i | −1.26880 | − | 1.26880i | ||||
\(596\) | 13.5222 | + | 22.7388i | 0.553890 | + | 0.931419i | ||||
\(597\) | −9.49332 | + | 18.3705i | −0.388536 | + | 0.751853i | ||||
\(598\) | 3.23085 | − | 25.8264i | 0.132119 | − | 1.05612i | ||||
\(599\) | 4.83678 | + | 2.79252i | 0.197626 | + | 0.114099i | 0.595547 | − | 0.803320i | \(-0.296935\pi\) |
−0.397922 | + | 0.917419i | \(0.630268\pi\) | |||||||
\(600\) | −2.70285 | − | 5.47369i | −0.110343 | − | 0.223463i | ||||
\(601\) | −29.8602 | + | 17.2398i | −1.21802 | + | 0.703227i | −0.964495 | − | 0.264101i | \(-0.914925\pi\) |
−0.253529 | + | 0.967328i | \(0.581591\pi\) | |||||||
\(602\) | 11.1845 | + | 26.5169i | 0.455846 | + | 1.08075i | ||||
\(603\) | 0.268460 | + | 0.222541i | 0.0109325 | + | 0.00906257i | ||||
\(604\) | −16.6722 | + | 17.1078i | −0.678382 | + | 0.696107i | ||||
\(605\) | 5.89068 | − | 21.9843i | 0.239490 | − | 0.893790i | ||||
\(606\) | 24.7576 | − | 36.0776i | 1.00571 | − | 1.46555i | ||||
\(607\) | 7.58467 | − | 13.1370i | 0.307852 | − | 0.533216i | −0.670040 | − | 0.742325i | \(-0.733723\pi\) |
0.977892 | + | 0.209109i | \(0.0670564\pi\) | |||||||
\(608\) | −3.71368 | + | 37.5181i | −0.150610 | + | 1.52156i | ||||
\(609\) | 3.79123 | − | 17.3465i | 0.153628 | − | 0.702917i | ||||
\(610\) | 1.15167 | + | 8.33234i | 0.0466299 | + | 0.337366i | ||||
\(611\) | −16.9700 | − | 16.9700i | −0.686534 | − | 0.686534i | ||||
\(612\) | −25.0896 | − | 20.2581i | −1.01419 | − | 0.818883i | ||||
\(613\) | 7.90551 | − | 7.90551i | 0.319301 | − | 0.319301i | −0.529198 | − | 0.848498i | \(-0.677507\pi\) |
0.848498 | + | 0.529198i | \(0.177507\pi\) | |||||||
\(614\) | 5.49588 | − | 7.25879i | 0.221796 | − | 0.292941i | ||||
\(615\) | 9.46170 | − | 10.3879i | 0.381533 | − | 0.418879i | ||||
\(616\) | −7.91310 | − | 9.90964i | −0.318828 | − | 0.399271i | ||||
\(617\) | 25.0266 | + | 14.4491i | 1.00753 | + | 0.581700i | 0.910468 | − | 0.413578i | \(-0.135721\pi\) |
0.0970648 | + | 0.995278i | \(0.469055\pi\) | |||||||
\(618\) | 18.7743 | − | 16.0579i | 0.755212 | − | 0.645943i | ||||
\(619\) | −33.4626 | − | 8.96627i | −1.34497 | − | 0.360385i | −0.486697 | − | 0.873571i | \(-0.661798\pi\) |
−0.858277 | + | 0.513186i | \(0.828465\pi\) | |||||||
\(620\) | −6.21555 | + | 0.0801537i | −0.249622 | + | 0.00321905i | ||||
\(621\) | 6.48894 | − | 16.0722i | 0.260392 | − | 0.644953i | ||||
\(622\) | −3.42653 | + | 8.42562i | −0.137391 | + | 0.337837i | ||||
\(623\) | −9.97724 | − | 17.2811i | −0.399730 | − | 0.692352i | ||||
\(624\) | 36.1109 | − | 12.5392i | 1.44559 | − | 0.501968i | ||||
\(625\) | −14.8389 | + | 25.7017i | −0.593555 | + | 1.02807i | ||||
\(626\) | 2.90887 | + | 3.74073i | 0.116262 | + | 0.149510i | ||||
\(627\) | 0.740291 | + | 15.8662i | 0.0295644 | + | 0.633634i | ||||
\(628\) | −25.7974 | + | 15.3410i | −1.02943 | + | 0.612173i | ||||
\(629\) | −31.4994 | + | 31.4994i | −1.25596 | + | 1.25596i | ||||
\(630\) | 34.5344 | + | 1.07792i | 1.37588 | + | 0.0429455i | ||||
\(631\) | 30.4132i | 1.21073i | 0.795948 | + | 0.605365i | \(0.206973\pi\) | ||||
−0.795948 | + | 0.605365i | \(0.793027\pi\) | |||||||
\(632\) | 3.73158 | − | 5.06292i | 0.148434 | − | 0.201392i | ||||
\(633\) | −10.1717 | − | 2.22312i | −0.404291 | − | 0.0883611i | ||||
\(634\) | 21.2609 | + | 2.65971i | 0.844377 | + | 0.105631i | ||||
\(635\) | −4.77225 | − | 17.8103i | −0.189381 | − | 0.706779i | ||||
\(636\) | −0.549350 | + | 0.362370i | −0.0217831 | + | 0.0143689i | ||||
\(637\) | −5.16663 | + | 19.2821i | −0.204709 | + | 0.763985i | ||||
\(638\) | −5.67077 | − | 2.30619i | −0.224508 | − | 0.0913029i | ||||
\(639\) | −7.85814 | + | 5.57269i | −0.310863 | + | 0.220452i | ||||
\(640\) | 9.63093 | − | 26.5847i | 0.380696 | − | 1.05085i | ||||
\(641\) | −6.19753 | − | 10.7344i | −0.244788 | − | 0.423985i | 0.717284 | − | 0.696781i | \(-0.245385\pi\) |
−0.962072 | + | 0.272796i | \(0.912052\pi\) | |||||||
\(642\) | −5.37497 | − | 11.2482i | −0.212133 | − | 0.443932i | ||||
\(643\) | −26.0383 | + | 6.97693i | −1.02685 | + | 0.275143i | −0.732653 | − | 0.680602i | \(-0.761718\pi\) |
−0.294195 | + | 0.955745i | \(0.595052\pi\) | |||||||
\(644\) | 20.9237 | − | 5.89670i | 0.824511 | − | 0.232363i | ||||
\(645\) | −12.4110 | + | 24.0164i | −0.488682 | + | 0.945646i | ||||
\(646\) | −30.5782 | + | 40.3868i | −1.20308 | + | 1.58900i | ||||
\(647\) | − | 1.44109i | − | 0.0566551i | −0.999599 | − | 0.0283275i | \(-0.990982\pi\) | ||
0.999599 | − | 0.0283275i | \(-0.00901814\pi\) | |||||||
\(648\) | 25.3844 | − | 1.90591i | 0.997193 | − | 0.0748711i | ||||
\(649\) | − | 3.14936i | − | 0.123623i | ||||||
\(650\) | 7.75192 | + | 5.86924i | 0.304055 | + | 0.230210i | ||||
\(651\) | 3.22229 | − | 6.23543i | 0.126291 | − | 0.244386i | ||||
\(652\) | −40.5422 | − | 22.7151i | −1.58776 | − | 0.889593i | ||||
\(653\) | −14.4750 | + | 3.87857i | −0.566451 | + | 0.151780i | −0.530668 | − | 0.847580i | \(-0.678059\pi\) |
−0.0357824 | + | 0.999360i | \(0.511392\pi\) | |||||||
\(654\) | −22.7234 | + | 10.8584i | −0.888553 | + | 0.424595i | ||||
\(655\) | 18.9993 | + | 32.9077i | 0.742363 | + | 1.28581i | ||||
\(656\) | 12.9795 | − | 0.334815i | 0.506765 | − | 0.0130723i | ||||
\(657\) | 23.8702 | − | 16.9278i | 0.931264 | − | 0.660417i | ||||
\(658\) | 7.55116 | − | 18.5678i | 0.294375 | − | 0.723849i | ||||
\(659\) | 1.35549 | − | 5.05876i | 0.0528024 | − | 0.197061i | −0.934486 | − | 0.356000i | \(-0.884140\pi\) |
0.987289 | + | 0.158938i | \(0.0508071\pi\) | |||||||
\(660\) | 2.39322 | − | 11.6694i | 0.0931559 | − | 0.454232i | ||||
\(661\) | −5.31043 | − | 19.8188i | −0.206552 | − | 0.770862i | −0.988971 | − | 0.148110i | \(-0.952681\pi\) |
0.782419 | − | 0.622752i | \(-0.213986\pi\) | |||||||
\(662\) | −1.81915 | + | 14.5417i | −0.0707033 | + | 0.565180i | ||||
\(663\) | 50.1772 | + | 10.9666i | 1.94872 | + | 0.425909i | ||||
\(664\) | 16.6409 | − | 2.51915i | 0.645792 | − | 0.0977619i | ||||
\(665\) | − | 54.2763i | − | 2.10474i | ||||||
\(666\) | 1.09708 | − | 35.1481i | 0.0425110 | − | 1.36196i | ||||
\(667\) | 7.42045 | − | 7.42045i | 0.287321 | − | 0.287321i | ||||
\(668\) | 26.4454 | + | 6.72178i | 1.02320 | + | 0.260073i | ||||
\(669\) | −0.668728 | − | 14.3324i | −0.0258545 | − | 0.554123i | ||||
\(670\) | −0.324310 | + | 0.252190i | −0.0125292 | + | 0.00974296i | ||||
\(671\) | −1.63729 | + | 2.83588i | −0.0632071 | + | 0.109478i | ||||
\(672\) | 21.3710 | + | 23.7195i | 0.824402 | + | 0.914999i | ||||
\(673\) | 7.01009 | + | 12.1418i | 0.270219 | + | 0.468033i | 0.968918 | − | 0.247383i | \(-0.0795706\pi\) |
−0.698699 | + | 0.715416i | \(0.746237\pi\) | |||||||
\(674\) | 17.0886 | + | 6.94959i | 0.658229 | + | 0.267688i | ||||
\(675\) | 3.98764 | + | 5.10135i | 0.153484 | + | 0.196351i | ||||
\(676\) | −24.3469 | + | 24.9831i | −0.936420 | + | 0.960888i | ||||
\(677\) | −16.2587 | − | 4.35650i | −0.624872 | − | 0.167434i | −0.0675306 | − | 0.997717i | \(-0.521512\pi\) |
−0.557342 | + | 0.830283i | \(0.688179\pi\) | |||||||
\(678\) | −18.5038 | − | 21.6340i | −0.710636 | − | 0.830848i | ||||
\(679\) | 12.5010 | + | 7.21748i | 0.479746 | + | 0.276982i | ||||
\(680\) | 29.6879 | − | 23.7066i | 1.13848 | − | 0.909105i | ||||
\(681\) | −20.9247 | + | 22.9728i | −0.801834 | + | 0.880321i | ||||
\(682\) | −1.92929 | − | 1.46073i | −0.0738763 | − | 0.0559342i | ||||
\(683\) | 26.6987 | − | 26.6987i | 1.02160 | − | 1.02160i | 0.0218370 | − | 0.999762i | \(-0.493049\pi\) |
0.999762 | − | 0.0218370i | \(-0.00695149\pi\) | |||||||
\(684\) | −4.23658 | − | 39.7634i | −0.161990 | − | 1.52039i | ||||
\(685\) | −23.5480 | − | 23.5480i | −0.899724 | − | 0.899724i | ||||
\(686\) | 15.4382 | − | 2.13383i | 0.589434 | − | 0.0814700i | ||||
\(687\) | 3.51303 | − | 16.0737i | 0.134031 | − | 0.613248i | ||||
\(688\) | −23.9545 | + | 7.08549i | −0.913258 | + | 0.270132i | ||||
\(689\) | 0.524096 | − | 0.907760i | 0.0199665 | − | 0.0345829i | ||||
\(690\) | 16.8372 | + | 11.5542i | 0.640980 | + | 0.439862i | ||||
\(691\) | 7.57544 | − | 28.2719i | 0.288183 | − | 1.07551i | −0.658299 | − | 0.752757i | \(-0.728724\pi\) |
0.946482 | − | 0.322757i | \(-0.104610\pi\) | |||||||
\(692\) | 0.115252 | + | 8.93723i | 0.00438121 | + | 0.339742i | ||||
\(693\) | 10.3553 | + | 8.58412i | 0.393367 | + | 0.326084i | ||||
\(694\) | 31.7442 | − | 13.3893i | 1.20499 | − | 0.508251i | ||||
\(695\) | −36.3284 | + | 20.9742i | −1.37801 | + | 0.795597i | ||||
\(696\) | 14.5969 | + | 4.94658i | 0.553296 | + | 0.187500i | ||||
\(697\) | 15.1082 | + | 8.72273i | 0.572264 | + | 0.330397i | ||||
\(698\) | −40.3542 | − | 5.04826i | −1.52743 | − | 0.191079i | ||||
\(699\) | 5.08603 | − | 9.84195i | 0.192371 | − | 0.372257i | ||||
\(700\) | −2.00053 | + | 7.87069i | −0.0756131 | + | 0.297484i | ||||
\(701\) | −28.6250 | − | 28.6250i | −1.08115 | − | 1.08115i | −0.996402 | − | 0.0847476i | \(-0.972992\pi\) |
−0.0847476 | − | 0.996402i | \(-0.527008\pi\) | |||||||
\(702\) | −34.7960 | + | 20.8115i | −1.31329 | + | 0.785478i | ||||
\(703\) | −55.2409 | −2.08345 | ||||||||
\(704\) | 9.31282 | − | 5.86834i | 0.350990 | − | 0.221171i | ||||
\(705\) | 17.9404 | − | 5.71565i | 0.675675 | − | 0.215264i | ||||
\(706\) | −39.3079 | + | 30.5667i | −1.47937 | + | 1.15039i | ||||
\(707\) | −56.2240 | + | 15.0652i | −2.11452 | + | 0.566584i | ||||
\(708\) | 0.471646 | + | 7.91486i | 0.0177255 | + | 0.297459i | ||||
\(709\) | −26.0795 | − | 6.98798i | −0.979437 | − | 0.262439i | −0.266629 | − | 0.963799i | \(-0.585910\pi\) |
−0.712807 | + | 0.701360i | \(0.752577\pi\) | |||||||
\(710\) | −4.41086 | − | 10.4575i | −0.165537 | − | 0.392464i | ||||
\(711\) | −2.78308 | + | 6.06276i | −0.104374 | + | 0.227371i | ||||
\(712\) | 15.8710 | − | 6.93658i | 0.594790 | − | 0.259959i | ||||
\(713\) | 3.59248 | − | 2.07412i | 0.134539 | − | 0.0776764i | ||||
\(714\) | 7.84758 | + | 42.1741i | 0.293688 | + | 1.57833i | ||||
\(715\) | 4.91066 | + | 18.3268i | 0.183648 | + | 0.685384i | ||||
\(716\) | 44.1908 | + | 24.7594i | 1.65149 | + | 0.925302i | ||||
\(717\) | −36.1630 | + | 23.1907i | −1.35053 | + | 0.866073i | ||||
\(718\) | −24.6736 | + | 3.41032i | −0.920810 | + | 0.127272i | ||||
\(719\) | 3.06518 | 0.114312 | 0.0571560 | − | 0.998365i | \(-0.481797\pi\) | ||||
0.0571560 | + | 0.998365i | \(0.481797\pi\) | |||||||
\(720\) | −4.26694 | + | 29.6856i | −0.159020 | + | 1.10632i | ||||
\(721\) | −32.8646 | −1.22394 | ||||||||
\(722\) | −35.6091 | + | 4.92180i | −1.32523 | + | 0.183170i | ||||
\(723\) | −0.698341 | − | 14.9671i | −0.0259716 | − | 0.556632i | ||||
\(724\) | −12.4953 | + | 22.3017i | −0.464384 | + | 0.828837i | ||||
\(725\) | 1.01464 | + | 3.78670i | 0.0376829 | + | 0.140635i | ||||
\(726\) | −16.9520 | + | 14.4993i | −0.629149 | + | 0.538119i | ||||
\(727\) | 12.5849 | − | 7.26589i | 0.466748 | − | 0.269477i | −0.248130 | − | 0.968727i | \(-0.579816\pi\) |
0.714877 | + | 0.699250i | \(0.246483\pi\) | |||||||
\(728\) | −47.3484 | − | 18.5478i | −1.75485 | − | 0.687427i | ||||
\(729\) | −25.9504 | + | 7.45506i | −0.961125 | + | 0.276113i | ||||
\(730\) | 13.3986 | + | 31.7662i | 0.495904 | + | 1.17572i | ||||
\(731\) | −32.4208 | − | 8.68713i | −1.19913 | − | 0.321305i | ||||
\(732\) | 3.69009 | − | 7.37222i | 0.136390 | − | 0.272485i | ||||
\(733\) | 4.73140 | − | 1.26777i | 0.174758 | − | 0.0468263i | −0.170379 | − | 0.985379i | \(-0.554499\pi\) |
0.345137 | + | 0.938552i | \(0.387832\pi\) | |||||||
\(734\) | 18.5759 | − | 14.4450i | 0.685650 | − | 0.533176i | ||||
\(735\) | −11.5786 | − | 10.5463i | −0.427083 | − | 0.389005i | ||||
\(736\) | 3.06466 | + | 18.6189i | 0.112965 | + | 0.686300i | ||||
\(737\) | −0.159933 | −0.00589119 | ||||||||
\(738\) | −13.4069 | + | 3.14757i | −0.493515 | + | 0.115864i | ||||
\(739\) | 27.6544 | + | 27.6544i | 1.01728 | + | 1.01728i | 0.999848 | + | 0.0174359i | \(0.00555030\pi\) |
0.0174359 | + | 0.999848i | \(0.494450\pi\) | |||||||
\(740\) | 40.1529 | + | 10.2059i | 1.47605 | + | 0.375176i | ||||
\(741\) | 34.3820 | + | 53.6144i | 1.26306 | + | 1.96957i | ||||
\(742\) | 0.868695 | + | 0.108673i | 0.0318908 | + | 0.00398950i | ||||
\(743\) | −16.0882 | − | 9.28853i | −0.590219 | − | 0.340763i | 0.174965 | − | 0.984575i | \(-0.444019\pi\) |
−0.765184 | + | 0.643812i | \(0.777352\pi\) | |||||||
\(744\) | 5.06737 | + | 3.38212i | 0.185779 | + | 0.123995i | ||||
\(745\) | 28.6302 | − | 16.5297i | 1.04893 | − | 0.605600i | ||||
\(746\) | −4.35346 | + | 1.83623i | −0.159391 | + | 0.0672293i | ||||
\(747\) | −16.7380 | + | 6.20580i | −0.612413 | + | 0.227059i | ||||
\(748\) | 14.7888 | − | 0.190712i | 0.540733 | − | 0.00697313i | ||||
\(749\) | −4.29226 | + | 16.0189i | −0.156836 | + | 0.585320i | ||||
\(750\) | 20.7349 | − | 9.90820i | 0.757133 | − | 0.361796i | ||||
\(751\) | 17.4576 | − | 30.2374i | 0.637037 | − | 1.10338i | −0.349043 | − | 0.937107i | \(-0.613493\pi\) |
0.986080 | − | 0.166273i | \(-0.0531733\pi\) | |||||||
\(752\) | 15.2871 | + | 8.30795i | 0.557464 | + | 0.302960i | ||||
\(753\) | 3.13473 | − | 0.998694i | 0.114236 | − | 0.0363944i | ||||
\(754\) | −24.3168 | + | 3.36100i | −0.885566 | + | 0.122401i | ||||
\(755\) | 21.1077 | + | 21.1077i | 0.768187 | + | 0.768187i | ||||
\(756\) | −27.3102 | − | 20.0225i | −0.993263 | − | 0.728210i | ||||
\(757\) | 15.4255 | − | 15.4255i | 0.560649 | − | 0.560649i | −0.368843 | − | 0.929492i | \(-0.620246\pi\) |
0.929492 | + | 0.368843i | \(0.120246\pi\) | |||||||
\(758\) | −16.3253 | − | 12.3605i | −0.592963 | − | 0.448952i | ||||
\(759\) | 2.41315 | + | 7.57446i | 0.0875919 | + | 0.274935i | ||||
\(760\) | 46.8193 | + | 5.24481i | 1.69832 | + | 0.190249i | ||||
\(761\) | −14.7108 | − | 8.49331i | −0.533268 | − | 0.307882i | 0.209078 | − | 0.977899i | \(-0.432954\pi\) |
−0.742346 | + | 0.670017i | \(0.766287\pi\) | |||||||
\(762\) | −6.02031 | + | 17.0394i | −0.218093 | + | 0.617272i | ||||
\(763\) | 32.3610 | + | 8.67111i | 1.17155 | + | 0.313915i | ||||
\(764\) | −15.7796 | − | 15.3778i | −0.570887 | − | 0.556350i | ||||
\(765\) | −25.7168 | + | 31.0232i | −0.929795 | + | 1.12165i | ||||
\(766\) | 14.2729 | + | 5.80449i | 0.515699 | + | 0.209725i | ||||
\(767\) | −6.31438 | − | 10.9368i | −0.227999 | − | 0.394906i | ||||
\(768\) | −22.5258 | + | 16.1428i | −0.812829 | + | 0.582502i | ||||
\(769\) | −21.5351 | + | 37.2999i | −0.776575 | + | 1.34507i | 0.157330 | + | 0.987546i | \(0.449712\pi\) |
−0.933905 | + | 0.357522i | \(0.883622\pi\) | |||||||
\(770\) | −12.5097 | + | 9.72779i | −0.450817 | + | 0.350565i | ||||
\(771\) | 38.1720 | − | 24.4791i | 1.37473 | − | 0.881594i | ||||
\(772\) | 8.10175 | − | 31.8747i | 0.291588 | − | 1.14719i | ||||
\(773\) | 32.8660 | − | 32.8660i | 1.18211 | − | 1.18211i | 0.202909 | − | 0.979198i | \(-0.434961\pi\) |
0.979198 | − | 0.202909i | \(-0.0650394\pi\) | |||||||
\(774\) | 23.3482 | − | 12.5256i | 0.839232 | − | 0.450223i | ||||
\(775\) | 1.54966i | 0.0556653i | ||||||||
\(776\) | −7.43388 | + | 10.0861i | −0.266861 | + | 0.362070i | ||||
\(777\) | −31.5008 | + | 34.5842i | −1.13008 | + | 1.24070i | ||||
\(778\) | 2.52890 | − | 20.2153i | 0.0906656 | − | 0.724752i | ||||
\(779\) | 5.59915 | + | 20.8963i | 0.200611 | + | 0.748689i | ||||
\(780\) | −15.0859 | − | 45.3229i | −0.540161 | − | 1.62282i | ||||
\(781\) | 1.14357 | − | 4.26785i | 0.0409200 | − | 0.152716i | ||||
\(782\) | −9.55113 | + | 23.4856i | −0.341548 | + | 0.839844i | ||||
\(783\) | −16.2259 | − | 1.98821i | −0.579865 | − | 0.0710528i | ||||
\(784\) | −0.373194 | − | 14.4673i | −0.0133284 | − | 0.516690i | ||||
\(785\) | 18.7530 | + | 32.4812i | 0.669324 | + | 1.15930i | ||||
\(786\) | 2.89556 | − | 37.1297i | 0.103281 | − | 1.32437i | ||||
\(787\) | −5.82094 | + | 1.55972i | −0.207494 | + | 0.0555978i | −0.361069 | − | 0.932539i | \(-0.617588\pi\) |
0.153575 | + | 0.988137i | \(0.450921\pi\) | |||||||
\(788\) | −3.05360 | + | 5.45010i | −0.108780 | + | 0.194152i | ||||
\(789\) | 13.4972 | − | 0.629758i | 0.480513 | − | 0.0224200i | ||||
\(790\) | −6.26602 | − | 4.74422i | −0.222935 | − | 0.168792i | ||||
\(791\) | 37.8706i | 1.34652i | ||||||||
\(792\) | −8.40541 | + | 8.10314i | −0.298673 | + | 0.287932i | ||||
\(793\) | 13.1309i | 0.466292i | ||||||||
\(794\) | −18.6218 | + | 24.5951i | −0.660862 | + | 0.872847i | ||||
\(795\) | 0.443932 | + | 0.692255i | 0.0157447 | + | 0.0245518i | ||||
\(796\) | 6.47681 | + | 22.9822i | 0.229564 | + | 0.814582i | ||||
\(797\) | 50.3069 | − | 13.4797i | 1.78196 | − | 0.477475i | 0.791022 | − | 0.611788i | \(-0.209549\pi\) |
0.990939 | + | 0.134313i | \(0.0428828\pi\) | |||||||
\(798\) | −30.0995 | + | 43.8619i | −1.06551 | + | 1.55269i | ||||
\(799\) | 11.6888 | + | 20.2455i | 0.413519 | + | 0.716236i | ||||
\(800\) | −6.59603 | − | 2.48624i | −0.233205 | − | 0.0879019i | ||||
\(801\) | −14.9856 | + | 10.6272i | −0.529489 | + | 0.375493i | ||||
\(802\) | −8.42922 | − | 3.42799i | −0.297646 | − | 0.121047i | ||||
\(803\) | −3.47374 | + | 12.9642i | −0.122586 | + | 0.457496i | ||||
\(804\) | 0.401937 | − | 0.0239514i | 0.0141752 | − | 0.000844700i | ||||
\(805\) | −7.03082 | − | 26.2394i | −0.247804 | − | 0.924816i | ||||
\(806\) | −9.62858 | − | 1.20452i | −0.339152 | − | 0.0424275i | ||||
\(807\) | −3.56213 | − | 11.1809i | −0.125393 | − | 0.393586i | ||||
\(808\) | −7.56236 | − | 49.9552i | −0.266043 | − | 1.75742i | ||||
\(809\) | − | 12.2452i | − | 0.430520i | −0.976557 | − | 0.215260i | \(-0.930940\pi\) | ||
0.976557 | − | 0.215260i | \(-0.0690599\pi\) | |||||||
\(810\) | −1.97242 | − | 31.7487i | −0.0693038 | − | 1.11553i | ||||
\(811\) | 34.8977 | − | 34.8977i | 1.22542 | − | 1.22542i | 0.259747 | − | 0.965677i | \(-0.416361\pi\) |
0.965677 | − | 0.259747i | \(-0.0836390\pi\) | |||||||
\(812\) | −10.4795 | − | 17.6223i | −0.367759 | − | 0.618422i | ||||
\(813\) | 38.2567 | + | 19.7700i | 1.34172 | + | 0.693363i | ||||
\(814\) | 9.90067 | + | 12.7320i | 0.347018 | + | 0.446256i | ||||
\(815\) | −29.0360 | + | 50.2918i | −1.01709 | + | 1.76164i | ||||
\(816\) | −37.1382 | + | 2.69406i | −1.30010 | + | 0.0943108i | ||||
\(817\) | −20.8110 | − | 36.0458i | −0.728086 | − | 1.26108i | ||||
\(818\) | 19.6022 | − | 48.2005i | 0.685374 | − | 1.68529i | ||||
\(819\) | 53.1720 | + | 9.04800i | 1.85798 | + | 0.316163i | ||||
\(820\) | −0.209212 | − | 16.2234i | −0.00730598 | − | 0.566545i | ||||
\(821\) | −7.84823 | − | 2.10293i | −0.273905 | − | 0.0733926i | 0.119252 | − | 0.992864i | \(-0.461950\pi\) |
−0.393157 | + | 0.919471i | \(0.628617\pi\) | |||||||
\(822\) | 5.97089 | + | 32.0885i | 0.208259 | + | 1.11921i | ||||
\(823\) | 11.0255 | + | 6.36556i | 0.384324 | + | 0.221890i | 0.679698 | − | 0.733492i | \(-0.262111\pi\) |
−0.295374 | + | 0.955382i | \(0.595444\pi\) | |||||||
\(824\) | 3.17576 | − | 28.3494i | 0.110633 | − | 0.987597i | ||||
\(825\) | −2.90124 | − | 0.634090i | −0.101008 | − | 0.0220762i | ||||
\(826\) | 6.36697 | − | 8.40931i | 0.221535 | − | 0.292597i | ||||
\(827\) | 7.95914 | − | 7.95914i | 0.276766 | − | 0.276766i | −0.555050 | − | 0.831817i | \(-0.687301\pi\) |
0.831817 | + | 0.555050i | \(0.187301\pi\) | |||||||
\(828\) | −7.19899 | − | 18.6745i | −0.250182 | − | 0.648982i | ||||
\(829\) | 21.1944 | + | 21.1944i | 0.736113 | + | 0.736113i | 0.971823 | − | 0.235710i | \(-0.0757416\pi\) |
−0.235710 | + | 0.971823i | \(0.575742\pi\) | |||||||
\(830\) | −2.87955 | − | 20.8335i | −0.0999508 | − | 0.723142i | ||||
\(831\) | −1.18195 | − | 1.07657i | −0.0410014 | − | 0.0373459i | ||||
\(832\) | 20.5749 | − | 39.0510i | 0.713306 | − | 1.35385i | ||||
\(833\) | 9.72259 | − | 16.8400i | 0.336868 | − | 0.583472i | ||||
\(834\) | 40.9892 | + | 3.19655i | 1.41934 | + | 0.110687i | ||||
\(835\) | 8.82503 | − | 32.9354i | 0.305403 | − | 1.13978i | ||||
\(836\) | 13.1349 | + | 12.8005i | 0.454281 | + | 0.442713i | ||||
\(837\) | −5.99200 | − | 2.41920i | −0.207114 | − | 0.0836198i | ||||
\(838\) | 12.2759 | + | 29.1046i | 0.424066 | + | 1.00540i | ||||
\(839\) | 34.4751 | − | 19.9042i | 1.19021 | − | 0.687169i | 0.231858 | − | 0.972750i | \(-0.425520\pi\) |
0.958355 | + | 0.285580i | \(0.0921864\pi\) | |||||||
\(840\) | 29.9820 | − | 26.3210i | 1.03448 | − | 0.908159i | ||||
\(841\) | 16.5433 | + | 9.55126i | 0.570458 | + | 0.329354i | ||||
\(842\) | 1.58359 | − | 12.6587i | 0.0545742 | − | 0.436249i | ||||
\(843\) | −49.2728 | + | 2.29899i | −1.69705 | + | 0.0791815i | ||||
\(844\) | −10.3335 | + | 6.14504i | −0.355693 | + | 0.211521i | ||||
\(845\) | 30.8242 | + | 30.8242i | 1.06039 | + | 1.06039i | ||||
\(846\) | −17.6677 | − | 5.33009i | −0.607428 | − | 0.183252i | ||||
\(847\) | 29.6747 | 1.01964 | ||||||||
\(848\) | −0.177686 | + | 0.738844i | −0.00610175 | + | 0.0253720i | ||||
\(849\) | −2.45587 | + | 11.2367i | −0.0842852 | + | 0.385642i | ||||
\(850\) | −5.81409 | − | 7.47676i | −0.199422 | − | 0.256451i | ||||
\(851\) | −26.7057 | + | 7.15576i | −0.915459 | + | 0.245296i | ||||
\(852\) | −2.23482 | + | 10.8971i | −0.0765636 | + | 0.373327i | ||||
\(853\) | 47.9910 | + | 12.8592i | 1.64318 | + | 0.440289i | 0.957692 | − | 0.287794i | \(-0.0929219\pi\) |
0.685489 | + | 0.728083i | \(0.259589\pi\) | |||||||
\(854\) | −10.1050 | + | 4.26218i | −0.345788 | + | 0.145849i | ||||
\(855\) | −49.7529 | + | 4.65292i | −1.70151 | + | 0.159126i | ||||
\(856\) | −13.4033 | − | 5.25049i | −0.458117 | − | 0.179458i | ||||
\(857\) | 1.84308 | − | 1.06410i | 0.0629582 | − | 0.0363490i | −0.468190 | − | 0.883628i | \(-0.655094\pi\) |
0.531149 | + | 0.847279i | \(0.321761\pi\) | |||||||
\(858\) | 6.19491 | − | 17.5336i | 0.211491 | − | 0.598586i | ||||
\(859\) | −2.44211 | − | 9.11407i | −0.0833237 | − | 0.310968i | 0.911668 | − | 0.410928i | \(-0.134795\pi\) |
−0.994991 | + | 0.0999599i | \(0.968129\pi\) | |||||||
\(860\) | 8.46739 | + | 30.0455i | 0.288735 | + | 1.02454i | ||||
\(861\) | 16.2753 | + | 8.41059i | 0.554660 | + | 0.286632i | ||||
\(862\) | −0.547741 | − | 3.96289i | −0.0186561 | − | 0.134977i | ||||
\(863\) | 1.35198 | 0.0460219 | 0.0230110 | − | 0.999735i | \(-0.492675\pi\) | ||||
0.0230110 | + | 0.999735i | \(0.492675\pi\) | |||||||
\(864\) | 19.9106 | − | 21.6233i | 0.677374 | − | 0.735639i | ||||
\(865\) | 11.1690 | 0.379757 | ||||||||
\(866\) | −1.91870 | − | 13.8817i | −0.0652000 | − | 0.471721i | ||||
\(867\) | −18.2886 | − | 9.45100i | −0.621112 | − | 0.320973i | ||||
\(868\) | −2.19840 | − | 7.80077i | −0.0746186 | − | 0.264775i | ||||
\(869\) | −0.791896 | − | 2.95540i | −0.0268632 | − | 0.100255i | ||||
\(870\) | 6.41599 | − | 18.1593i | 0.217522 | − | 0.615657i | ||||
\(871\) | −0.555400 | + | 0.320660i | −0.0188190 | + | 0.0108652i | ||||
\(872\) | −10.6069 | + | 27.0771i | −0.359195 | + | 0.916945i | ||||
\(873\) | 5.54431 | − | 12.0779i | 0.187646 | − | 0.408776i | ||||
\(874\) | −28.9685 | + | 12.2186i | −0.979875 | + | 0.413299i | ||||
\(875\) | −29.5293 | − | 7.91234i | −0.998271 | − | 0.267486i | ||||
\(876\) | 6.78857 | − | 33.1013i | 0.229364 | − | 1.11839i | ||||
\(877\) | 16.7554 | − | 4.48959i | 0.565789 | − | 0.151603i | 0.0354241 | − | 0.999372i | \(-0.488722\pi\) |
0.530364 | + | 0.847770i | \(0.322055\pi\) | |||||||
\(878\) | −5.54459 | − | 7.13019i | −0.187121 | − | 0.240632i | ||||
\(879\) | 3.60708 | − | 16.5040i | 0.121664 | − | 0.556665i | ||||
\(880\) | −7.18247 | − | 11.7310i | −0.242121 | − | 0.395452i | ||||
\(881\) | 4.49503 | 0.151441 | 0.0757207 | − | 0.997129i | \(-0.475874\pi\) | ||||
0.0757207 | + | 0.997129i | \(0.475874\pi\) | |||||||
\(882\) | 3.50837 | + | 14.9437i | 0.118133 | + | 0.503181i | ||||
\(883\) | 7.21822 | + | 7.21822i | 0.242913 | + | 0.242913i | 0.818054 | − | 0.575141i | \(-0.195053\pi\) |
−0.575141 | + | 0.818054i | \(0.695053\pi\) | |||||||
\(884\) | 50.9750 | − | 30.3135i | 1.71447 | − | 1.01955i | ||||
\(885\) | 9.89727 | − | 0.461791i | 0.332693 | − | 0.0155229i | ||||
\(886\) | −2.93692 | + | 23.4768i | −0.0986678 | + | 0.788720i | ||||
\(887\) | −32.3743 | − | 18.6913i | −1.08702 | − | 0.627592i | −0.154240 | − | 0.988033i | \(-0.549293\pi\) |
−0.932782 | + | 0.360441i | \(0.882626\pi\) | |||||||
\(888\) | −26.7887 | − | 30.5148i | −0.898970 | − | 1.02401i | ||||
\(889\) | 20.8197 | − | 12.0203i | 0.698271 | − | 0.403147i | ||||
\(890\) | −8.41157 | − | 19.9427i | −0.281956 | − | 0.668479i | ||||
\(891\) | 6.98099 | − | 10.2282i | 0.233872 | − | 0.342658i | ||||
\(892\) | −11.8652 | − | 11.5631i | −0.397276 | − | 0.387160i | ||||
\(893\) | −7.50307 | + | 28.0018i | −0.251081 | + | 0.937046i | ||||
\(894\) | −32.3034 | − | 2.51919i | −1.08039 | − | 0.0842542i | ||||
\(895\) | 31.6491 | − | 54.8178i | 1.05791 | − | 1.83236i | ||||
\(896\) | 36.7306 | + | 3.15803i | 1.22708 | + | 0.105502i | ||||
\(897\) | 23.5667 | + | 21.4656i | 0.786871 | + | 0.716716i | ||||
\(898\) | −4.59303 | − | 33.2305i | −0.153271 | − | 1.10892i | ||||
\(899\) | −2.76648 | − | 2.76648i | −0.0922674 | − | 0.0922674i | ||||
\(900\) | 7.38624 | + | 1.15908i | 0.246208 | + | 0.0386361i | ||||
\(901\) | −0.721983 | + | 0.721983i | −0.0240527 | + | 0.0240527i | ||||
\(902\) | 3.81269 | − | 5.03569i | 0.126949 | − | 0.167670i | ||||
\(903\) | −34.4343 | − | 7.52589i | −1.14590 | − | 0.250446i | ||||
\(904\) | −32.6676 | − | 3.65950i | −1.08651 | − | 0.121713i | ||||
\(905\) | 27.6648 | + | 15.9723i | 0.919610 | + | 0.530937i | ||||
\(906\) | −5.35211 | − | 28.7631i | −0.177812 | − | 0.955589i | ||||
\(907\) | −27.3409 | − | 7.32597i | −0.907840 | − | 0.243255i | −0.225460 | − | 0.974253i | \(-0.572388\pi\) |
−0.682380 | + | 0.730998i | \(0.739055\pi\) | |||||||
\(908\) | 0.462673 | + | 35.8782i | 0.0153544 | + | 1.19066i | ||||
\(909\) | 18.6295 | + | 50.2468i | 0.617902 | + | 1.66658i | ||||
\(910\) | −23.9385 | + | 58.8633i | −0.793554 | + | 1.95130i | ||||
\(911\) | −12.2805 | − | 21.2704i | −0.406871 | − | 0.704721i | 0.587667 | − | 0.809103i | \(-0.300047\pi\) |
−0.994537 | + | 0.104383i | \(0.966713\pi\) | |||||||
\(912\) | −34.9272 | − | 30.2026i | −1.15655 | − | 1.00011i | ||||
\(913\) | 4.09376 | − | 7.09060i | 0.135484 | − | 0.234665i | ||||
\(914\) | 25.9413 | + | 33.3597i | 0.858061 | + | 1.10344i | ||||
\(915\) | −9.15218 | − | 4.72958i | −0.302562 | − | 0.156355i | ||||
\(916\) | −9.71056 | − | 16.3292i | −0.320846 | − | 0.539533i | ||||
\(917\) | −35.0323 | + | 35.0323i | −1.15687 | + | 1.15687i | ||||
\(918\) | 37.9866 | − | 10.8090i | 1.25374 | − | 0.356750i | ||||
\(919\) | 21.3619i | 0.704665i | 0.935875 | + | 0.352332i | \(0.114611\pi\) | ||||
−0.935875 | + | 0.352332i | \(0.885389\pi\) | |||||||
\(920\) | 23.3138 | − | 3.52930i | 0.768632 | − | 0.116358i | ||||
\(921\) | 3.38493 | + | 10.6247i | 0.111537 | + | 0.350096i | ||||
\(922\) | −39.1938 | − | 4.90309i | −1.29078 | − | 0.161475i | ||||
\(923\) | −4.58563 | − | 17.1138i | −0.150938 | − | 0.563308i | ||||
\(924\) | 15.5040 | − | 0.923882i | 0.510044 | − | 0.0303935i | ||||
\(925\) | 2.67318 | − | 9.97644i | 0.0878936 | − | 0.328023i | ||||
\(926\) | 23.6054 | + | 9.59986i | 0.775723 | + | 0.315471i | ||||
\(927\) | 2.81737 | + | 30.1257i | 0.0925345 | + | 0.989457i | ||||
\(928\) | 16.2139 | − | 7.33688i | 0.532246 | − | 0.240845i | ||||
\(929\) | 0.783906 | + | 1.35776i | 0.0257191 | + | 0.0445468i | 0.878598 | − | 0.477561i | \(-0.158479\pi\) |
−0.852879 | + | 0.522108i | \(0.825146\pi\) | |||||||
\(930\) | 4.30763 | − | 6.27722i | 0.141253 | − | 0.205838i | ||||
\(931\) | 23.2916 | − | 6.24097i | 0.763352 | − | 0.204540i | ||||
\(932\) | −3.46994 | − | 12.3127i | −0.113662 | − | 0.403315i | ||||
\(933\) | −6.01356 | − | 9.37738i | −0.196875 | − | 0.307002i | ||||
\(934\) | −3.91838 | + | 5.17529i | −0.128213 | + | 0.169341i | ||||
\(935\) | − | 18.4818i | − | 0.604420i | ||||||
\(936\) | −12.9430 | + | 44.9924i | −0.423055 | + | 1.47062i | ||||
\(937\) | − | 40.1161i | − | 1.31054i | −0.755396 | − | 0.655269i | \(-0.772555\pi\) | ||
0.755396 | − | 0.655269i | \(-0.227445\pi\) | |||||||
\(938\) | −0.427046 | − | 0.323331i | −0.0139435 | − | 0.0105571i | ||||
\(939\) | −5.79731 | + | 0.270493i | −0.189188 | + | 0.00882721i | ||||
\(940\) | 10.6272 | − | 18.9675i | 0.346620 | − | 0.618651i | ||||
\(941\) | 39.9706 | − | 10.7101i | 1.30300 | − | 0.349139i | 0.460419 | − | 0.887702i | \(-0.347699\pi\) |
0.842586 | + | 0.538562i | \(0.181032\pi\) | |||||||
\(942\) | 2.85803 | − | 36.6484i | 0.0931197 | − | 1.19407i | ||||
\(943\) | 5.41372 | + | 9.37683i | 0.176295 | + | 0.305352i | ||||
\(944\) | 6.63871 | + | 6.30482i | 0.216072 | + | 0.205204i | ||||
\(945\) | −25.4583 | + | 33.8017i | −0.828158 | + | 1.09957i | ||||
\(946\) | −4.57797 | + | 11.2569i | −0.148843 | + | 0.365995i | ||||
\(947\) | −8.55860 | + | 31.9411i | −0.278117 | + | 1.03795i | 0.675606 | + | 0.737263i | \(0.263882\pi\) |
−0.953724 | + | 0.300685i | \(0.902785\pi\) | |||||||
\(948\) | 2.43276 | + | 7.30880i | 0.0790124 | + | 0.237379i | ||||
\(949\) | 13.9295 | + | 51.9856i | 0.452171 | + | 1.68752i | ||||
\(950\) | 1.45792 | − | 11.6542i | 0.0473012 | − | 0.378111i | ||||
\(951\) | −17.6710 | + | 19.4007i | −0.573020 | + | 0.629109i | ||||
\(952\) | 39.8741 | + | 29.3889i | 1.29233 | + | 0.952500i | ||||
\(953\) | − | 6.18680i | − | 0.200410i | −0.994967 | − | 0.100205i | \(-0.968050\pi\) | ||
0.994967 | − | 0.100205i | \(-0.0319499\pi\) | |||||||
\(954\) | 0.0251457 | − | 0.805614i | 0.000814122 | − | 0.0260827i | ||||
\(955\) | −19.4690 | + | 19.4690i | −0.630001 | + | 0.630001i | ||||
\(956\) | −12.2201 | + | 48.0773i | −0.395225 | + | 1.55493i | ||||
\(957\) | 6.31135 | − | 4.04737i | 0.204017 | − | 0.130833i | ||||
\(958\) | 2.83914 | − | 2.20777i | 0.0917283 | − | 0.0713299i | ||||
\(959\) | 21.7099 | − | 37.6026i | 0.701048 | − | 1.21425i | ||||
\(960\) | 19.8075 | + | 28.4062i | 0.639285 | + | 0.916807i | ||||
\(961\) | 14.7267 | + | 25.5074i | 0.475056 | + | 0.822821i | ||||
\(962\) | 59.9094 | + | 24.3639i | 1.93156 | + | 0.785525i | ||||
\(963\) | 15.0519 | + | 2.56130i | 0.485040 | + | 0.0825367i | ||||
\(964\) | −12.3906 | − | 12.0751i | −0.399074 | − | 0.388913i | ||||
\(965\) | −39.6971 | − | 10.6368i | −1.27789 | − | 0.342410i | ||||
\(966\) | −8.86954 | + | 25.1036i | −0.285373 | + | 0.807696i | ||||
\(967\) | −25.0282 | − | 14.4500i | −0.804851 | − | 0.464681i | 0.0403133 | − | 0.999187i | \(-0.487164\pi\) |
−0.845165 | + | 0.534506i | \(0.820498\pi\) | |||||||
\(968\) | −2.86752 | + | 25.5978i | −0.0921656 | + | 0.822743i | ||||
\(969\) | −18.8332 | − | 59.1142i | −0.605010 | − | 1.89902i | ||||
\(970\) | 12.4829 | + | 9.45120i | 0.400801 | + | 0.303460i | ||||
\(971\) | −41.1803 | + | 41.1803i | −1.32154 | + | 1.32154i | −0.409008 | + | 0.912531i | \(0.634125\pi\) |
−0.912531 | + | 0.409008i | \(0.865875\pi\) | |||||||
\(972\) | −16.0126 | + | 26.7506i | −0.513604 | + | 0.858027i | ||||
\(973\) | −38.6739 | − | 38.6739i | −1.23983 | − | 1.23983i | ||||
\(974\) | −37.0612 | + | 5.12251i | −1.18752 | + | 0.164136i | ||||
\(975\) | −11.3465 | + | 3.61489i | −0.363379 | + | 0.115769i | ||||
\(976\) | −2.70014 | − | 9.12859i | −0.0864293 | − | 0.292199i | ||||
\(977\) | −18.1859 | + | 31.4990i | −0.581820 | + | 1.00774i | 0.413444 | + | 0.910530i | \(0.364326\pi\) |
−0.995264 | + | 0.0972120i | \(0.969008\pi\) | |||||||
\(978\) | 51.3544 | − | 24.5397i | 1.64213 | − | 0.784693i | ||||
\(979\) | 2.18080 | − | 8.13884i | 0.0696986 | − | 0.260119i | ||||
\(980\) | −18.0830 | + | 0.233193i | −0.577641 | + | 0.00744907i | ||||
\(981\) | 5.17426 | − | 30.4074i | 0.165201 | − | 0.970833i | ||||
\(982\) | −29.5868 | + | 12.4794i | −0.944154 | + | 0.398232i | ||||
\(983\) | 48.0347 | − | 27.7329i | 1.53207 | − | 0.884541i | 0.532803 | − | 0.846239i | \(-0.321139\pi\) |
0.999266 | − | 0.0383018i | \(-0.0121948\pi\) | |||||||
\(984\) | −8.82777 | + | 13.2265i | −0.281419 | + | 0.421645i | ||||
\(985\) | 6.76074 | + | 3.90331i | 0.215415 | + | 0.124370i | ||||
\(986\) | 23.7271 | + | 2.96823i | 0.755625 | + | 0.0945278i | ||||
\(987\) | 13.2523 | + | 20.6653i | 0.421825 | + | 0.657782i | ||||
\(988\) | 71.2783 | + | 18.1172i | 2.26767 | + | 0.576384i | ||||
\(989\) | −14.7302 | − | 14.7302i | −0.468393 | − | 0.468393i | ||||
\(990\) | 9.98949 | + | 10.6332i | 0.317487 | + | 0.337945i | ||||
\(991\) | 15.3724 | 0.488321 | 0.244161 | − | 0.969735i | \(-0.421488\pi\) | ||||
0.244161 | + | 0.969735i | \(0.421488\pi\) | |||||||
\(992\) | 6.94146 | − | 1.14256i | 0.220392 | − | 0.0362764i | ||||
\(993\) | −13.2694 | − | 12.0863i | −0.421092 | − | 0.383549i | ||||
\(994\) | 11.6817 | − | 9.08393i | 0.370520 | − | 0.288125i | ||||
\(995\) | 28.8208 | − | 7.72250i | 0.913679 | − | 0.244820i | ||||
\(996\) | −9.22640 | + | 18.4329i | −0.292350 | + | 0.584069i | ||||
\(997\) | 28.7828 | + | 7.71233i | 0.911561 | + | 0.244252i | 0.683974 | − | 0.729506i | \(-0.260250\pi\) |
0.227586 | + | 0.973758i | \(0.426917\pi\) | |||||||
\(998\) | −15.5976 | − | 36.9798i | −0.493735 | − | 1.17058i | ||||
\(999\) | 34.4024 | + | 25.9107i | 1.08844 | + | 0.819778i |
(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 | 144.2.x.e.13.8 | ✓ | 72 | |
3.2 | odd | 2 | 432.2.y.e.253.11 | 72 | |||
4.3 | odd | 2 | 576.2.bb.e.337.17 | 72 | |||
9.2 | odd | 6 | 432.2.y.e.397.3 | 72 | |||
9.7 | even | 3 | inner | 144.2.x.e.61.16 | yes | 72 | |
12.11 | even | 2 | 1728.2.bc.e.145.3 | 72 | |||
16.5 | even | 4 | inner | 144.2.x.e.85.16 | yes | 72 | |
16.11 | odd | 4 | 576.2.bb.e.49.12 | 72 | |||
36.7 | odd | 6 | 576.2.bb.e.529.12 | 72 | |||
36.11 | even | 6 | 1728.2.bc.e.721.16 | 72 | |||
48.5 | odd | 4 | 432.2.y.e.37.3 | 72 | |||
48.11 | even | 4 | 1728.2.bc.e.1009.16 | 72 | |||
144.11 | even | 12 | 1728.2.bc.e.1585.3 | 72 | |||
144.43 | odd | 12 | 576.2.bb.e.241.17 | 72 | |||
144.101 | odd | 12 | 432.2.y.e.181.11 | 72 | |||
144.133 | even | 12 | inner | 144.2.x.e.133.8 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.x.e.13.8 | ✓ | 72 | 1.1 | even | 1 | trivial | |
144.2.x.e.61.16 | yes | 72 | 9.7 | even | 3 | inner | |
144.2.x.e.85.16 | yes | 72 | 16.5 | even | 4 | inner | |
144.2.x.e.133.8 | yes | 72 | 144.133 | even | 12 | inner | |
432.2.y.e.37.3 | 72 | 48.5 | odd | 4 | |||
432.2.y.e.181.11 | 72 | 144.101 | odd | 12 | |||
432.2.y.e.253.11 | 72 | 3.2 | odd | 2 | |||
432.2.y.e.397.3 | 72 | 9.2 | odd | 6 | |||
576.2.bb.e.49.12 | 72 | 16.11 | odd | 4 | |||
576.2.bb.e.241.17 | 72 | 144.43 | odd | 12 | |||
576.2.bb.e.337.17 | 72 | 4.3 | odd | 2 | |||
576.2.bb.e.529.12 | 72 | 36.7 | odd | 6 | |||
1728.2.bc.e.145.3 | 72 | 12.11 | even | 2 | |||
1728.2.bc.e.721.16 | 72 | 36.11 | even | 6 | |||
1728.2.bc.e.1009.16 | 72 | 48.11 | even | 4 | |||
1728.2.bc.e.1585.3 | 72 | 144.11 | even | 12 |