Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [756,2,Mod(155,756)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(756, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 7, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("756.155");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 756 = 2^{2} \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 756.cf (of order \(18\), degree \(6\), 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: | \(6.03669039281\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(108\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 155.11 | ||
Character | \(\chi\) | \(=\) | 756.155 |
Dual form | 756.2.cf.a.239.11 |
$q$-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 \(\left(\mathbb{Z}/756\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{7}{18}\right)\) | \(1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.36197 | − | 0.380829i | −0.963060 | − | 0.269287i | ||||
\(3\) | −0.829350 | + | 1.52058i | −0.478826 | + | 0.877910i | ||||
\(4\) | 1.70994 | + | 1.03736i | 0.854970 | + | 0.518678i | ||||
\(5\) | 1.49277 | − | 0.263215i | 0.667586 | − | 0.117713i | 0.170423 | − | 0.985371i | \(-0.445486\pi\) |
0.497162 | + | 0.867658i | \(0.334375\pi\) | |||||||
\(6\) | 1.70863 | − | 1.75515i | 0.697547 | − | 0.716539i | ||||
\(7\) | −0.642788 | + | 0.766044i | −0.242951 | + | 0.289538i | ||||
\(8\) | −1.93384 | − | 2.06404i | −0.683714 | − | 0.729750i | ||||
\(9\) | −1.62436 | − | 2.52220i | −0.541452 | − | 0.840732i | ||||
\(10\) | −2.13335 | − | 0.209997i | −0.674624 | − | 0.0664068i | ||||
\(11\) | −0.184270 | + | 1.04505i | −0.0555596 | + | 0.315094i | −0.999904 | − | 0.0138646i | \(-0.995587\pi\) |
0.944344 | + | 0.328959i | \(0.106698\pi\) | |||||||
\(12\) | −2.99553 | + | 1.73978i | −0.864734 | + | 0.502230i | ||||
\(13\) | 5.49027 | + | 1.99830i | 1.52273 | + | 0.554228i | 0.961828 | − | 0.273655i | \(-0.0882328\pi\) |
0.560900 | + | 0.827883i | \(0.310455\pi\) | |||||||
\(14\) | 1.16719 | − | 0.798540i | 0.311945 | − | 0.213419i | ||||
\(15\) | −0.837786 | + | 2.48818i | −0.216315 | + | 0.642444i | ||||
\(16\) | 1.84778 | + | 3.54763i | 0.461946 | + | 0.886908i | ||||
\(17\) | 1.26901 | − | 0.732663i | 0.307780 | − | 0.177697i | −0.338153 | − | 0.941091i | \(-0.609802\pi\) |
0.645933 | + | 0.763394i | \(0.276469\pi\) | |||||||
\(18\) | 1.25180 | + | 4.05376i | 0.295053 | + | 0.955481i | ||||
\(19\) | −0.226881 | − | 0.130990i | −0.0520501 | − | 0.0300511i | 0.473749 | − | 0.880660i | \(-0.342900\pi\) |
−0.525799 | + | 0.850609i | \(0.676234\pi\) | |||||||
\(20\) | 2.82559 | + | 1.09845i | 0.631821 | + | 0.245621i | ||||
\(21\) | −0.631739 | − | 1.61273i | −0.137857 | − | 0.351927i | ||||
\(22\) | 0.648956 | − | 1.35315i | 0.138358 | − | 0.288493i | ||||
\(23\) | 3.99480 | − | 3.35204i | 0.832974 | − | 0.698948i | −0.122998 | − | 0.992407i | \(-0.539251\pi\) |
0.955972 | + | 0.293459i | \(0.0948063\pi\) | |||||||
\(24\) | 4.74238 | − | 1.22874i | 0.968035 | − | 0.250816i | ||||
\(25\) | −2.53939 | + | 0.924263i | −0.507878 | + | 0.184853i | ||||
\(26\) | −6.71660 | − | 4.81248i | −1.31723 | − | 0.943805i | ||||
\(27\) | 5.18237 | − | 0.378187i | 0.997348 | − | 0.0727821i | ||||
\(28\) | −1.89379 | + | 0.643090i | −0.357892 | + | 0.121532i | ||||
\(29\) | 0.556693 | + | 1.52950i | 0.103375 | + | 0.284021i | 0.980588 | − | 0.196081i | \(-0.0628217\pi\) |
−0.877212 | + | 0.480103i | \(0.840599\pi\) | |||||||
\(30\) | 2.08861 | − | 3.06977i | 0.381326 | − | 0.560462i | ||||
\(31\) | 4.42218 | + | 5.27015i | 0.794247 | + | 0.946547i | 0.999483 | − | 0.0321660i | \(-0.0102405\pi\) |
−0.205236 | + | 0.978713i | \(0.565796\pi\) | |||||||
\(32\) | −1.16559 | − | 5.53547i | −0.206049 | − | 0.978542i | ||||
\(33\) | −1.43626 | − | 1.14691i | −0.250021 | − | 0.199652i | ||||
\(34\) | −2.00738 | + | 0.514592i | −0.344262 | + | 0.0882518i | ||||
\(35\) | −0.757898 | + | 1.31272i | −0.128108 | + | 0.221890i | ||||
\(36\) | −0.161134 | − | 5.99784i | −0.0268557 | − | 0.999639i | ||||
\(37\) | 1.93917 | + | 3.35873i | 0.318797 | + | 0.552172i | 0.980237 | − | 0.197825i | \(-0.0633879\pi\) |
−0.661440 | + | 0.749998i | \(0.730055\pi\) | |||||||
\(38\) | 0.259121 | + | 0.264808i | 0.0420350 | + | 0.0429575i | ||||
\(39\) | −7.59194 | + | 6.69114i | −1.21568 | + | 1.07144i | ||||
\(40\) | −3.43005 | − | 2.57212i | −0.542339 | − | 0.406688i | ||||
\(41\) | −0.957056 | + | 2.62949i | −0.149467 | + | 0.410657i | −0.991719 | − | 0.128427i | \(-0.959007\pi\) |
0.842252 | + | 0.539084i | \(0.181229\pi\) | |||||||
\(42\) | 0.246237 | + | 2.43708i | 0.0379952 | + | 0.376050i | ||||
\(43\) | −4.92105 | − | 0.867713i | −0.750453 | − | 0.132325i | −0.214677 | − | 0.976685i | \(-0.568870\pi\) |
−0.535776 | + | 0.844360i | \(0.679981\pi\) | |||||||
\(44\) | −1.39918 | + | 1.59582i | −0.210934 | + | 0.240578i | ||||
\(45\) | −3.08866 | − | 3.33749i | −0.460431 | − | 0.497524i | ||||
\(46\) | −6.71736 | + | 3.04405i | −0.990421 | + | 0.448820i | ||||
\(47\) | −7.62824 | − | 6.40086i | −1.11269 | − | 0.933661i | −0.114481 | − | 0.993425i | \(-0.536521\pi\) |
−0.998212 | + | 0.0597647i | \(0.980965\pi\) | |||||||
\(48\) | −6.92694 | − | 0.132519i | −0.999817 | − | 0.0191275i | ||||
\(49\) | −0.173648 | − | 0.984808i | −0.0248069 | − | 0.140687i | ||||
\(50\) | 3.81057 | − | 0.291748i | 0.538896 | − | 0.0412594i | ||||
\(51\) | 0.0616226 | + | 2.53727i | 0.00862889 | + | 0.355289i | ||||
\(52\) | 7.31509 | + | 9.11234i | 1.01442 | + | 1.26365i | ||||
\(53\) | 1.50507i | 0.206737i | 0.994643 | + | 0.103369i | \(0.0329621\pi\) | ||||
−0.994643 | + | 0.103369i | \(0.967038\pi\) | |||||||
\(54\) | −7.20227 | − | 1.45852i | −0.980105 | − | 0.198479i | ||||
\(55\) | 1.60852i | 0.216893i | ||||||||
\(56\) | 2.82420 | − | 0.154661i | 0.377399 | − | 0.0206675i | ||||
\(57\) | 0.387345 | − | 0.236355i | 0.0513051 | − | 0.0313061i | ||||
\(58\) | −0.175723 | − | 2.29514i | −0.0230735 | − | 0.301367i | ||||
\(59\) | 0.794771 | + | 4.50737i | 0.103470 | + | 0.586809i | 0.991820 | + | 0.127642i | \(0.0407409\pi\) |
−0.888350 | + | 0.459167i | \(0.848148\pi\) | |||||||
\(60\) | −4.01369 | + | 3.38555i | −0.518165 | + | 0.437072i | ||||
\(61\) | 10.6765 | + | 8.95864i | 1.36698 | + | 1.14704i | 0.973756 | + | 0.227596i | \(0.0730865\pi\) |
0.393229 | + | 0.919441i | \(0.371358\pi\) | |||||||
\(62\) | −4.01586 | − | 8.86189i | −0.510015 | − | 1.12546i | ||||
\(63\) | 2.97623 | + | 0.376907i | 0.374970 | + | 0.0474858i | ||||
\(64\) | −0.520562 | + | 7.98305i | −0.0650703 | + | 0.997881i | ||||
\(65\) | 8.72168 | + | 1.53787i | 1.08179 | + | 0.190749i | ||||
\(66\) | 1.51937 | + | 2.10903i | 0.187022 | + | 0.259604i | ||||
\(67\) | −2.23178 | + | 6.13176i | −0.272655 | + | 0.749114i | 0.725490 | + | 0.688233i | \(0.241613\pi\) |
−0.998145 | + | 0.0608813i | \(0.980609\pi\) | |||||||
\(68\) | 2.92996 | + | 0.0636061i | 0.355310 | + | 0.00771337i | ||||
\(69\) | 1.78397 | + | 8.85445i | 0.214764 | + | 1.06595i | ||||
\(70\) | 1.53216 | − | 1.49926i | 0.183128 | − | 0.179195i | ||||
\(71\) | 7.45461 | + | 12.9118i | 0.884699 | + | 1.53234i | 0.846058 | + | 0.533091i | \(0.178970\pi\) |
0.0386415 | + | 0.999253i | \(0.487697\pi\) | |||||||
\(72\) | −2.06469 | + | 8.23025i | −0.243326 | + | 0.969945i | ||||
\(73\) | −3.14629 | + | 5.44954i | −0.368246 | + | 0.637821i | −0.989291 | − | 0.145954i | \(-0.953375\pi\) |
0.621046 | + | 0.783775i | \(0.286708\pi\) | |||||||
\(74\) | −1.36199 | − | 5.31299i | −0.158328 | − | 0.617623i | ||||
\(75\) | 0.700626 | − | 4.62790i | 0.0809013 | − | 0.534384i | ||||
\(76\) | −0.252070 | − | 0.459341i | −0.0289144 | − | 0.0526901i | ||||
\(77\) | −0.682108 | − | 0.812904i | −0.0777334 | − | 0.0926390i | ||||
\(78\) | 12.8882 | − | 6.22192i | 1.45930 | − | 0.704494i | ||||
\(79\) | 1.53885 | + | 4.22794i | 0.173134 | + | 0.475681i | 0.995662 | − | 0.0930432i | \(-0.0296595\pi\) |
−0.822528 | + | 0.568724i | \(0.807437\pi\) | |||||||
\(80\) | 3.69210 | + | 4.80942i | 0.412789 | + | 0.537710i | ||||
\(81\) | −3.72294 | + | 8.19388i | −0.413660 | + | 0.910432i | ||||
\(82\) | 2.30487 | − | 3.21682i | 0.254530 | − | 0.355238i | ||||
\(83\) | 11.7729 | − | 4.28500i | 1.29225 | − | 0.470339i | 0.397783 | − | 0.917480i | \(-0.369780\pi\) |
0.894464 | + | 0.447140i | \(0.147557\pi\) | |||||||
\(84\) | 0.592742 | − | 3.41301i | 0.0646735 | − | 0.372390i | ||||
\(85\) | 1.70149 | − | 1.42772i | 0.184552 | − | 0.154858i | ||||
\(86\) | 6.37188 | + | 3.05588i | 0.687098 | + | 0.329524i | ||||
\(87\) | −2.78743 | − | 0.421994i | −0.298844 | − | 0.0452425i | ||||
\(88\) | 2.51338 | − | 1.64061i | 0.267927 | − | 0.174890i | ||||
\(89\) | −12.5906 | − | 7.26916i | −1.33460 | − | 0.770529i | −0.348596 | − | 0.937273i | \(-0.613341\pi\) |
−0.986000 | + | 0.166744i | \(0.946675\pi\) | |||||||
\(90\) | 2.93566 | + | 5.72183i | 0.309446 | + | 0.603134i | ||||
\(91\) | −5.05986 | + | 2.92131i | −0.530418 | + | 0.306237i | ||||
\(92\) | 10.3081 | − | 1.58775i | 1.07470 | − | 0.165534i | ||||
\(93\) | −11.6812 | + | 2.35350i | −1.21129 | + | 0.244046i | ||||
\(94\) | 7.95183 | + | 11.6228i | 0.820169 | + | 1.19880i | ||||
\(95\) | −0.373159 | − | 0.135819i | −0.0382853 | − | 0.0139347i | ||||
\(96\) | 9.38383 | + | 2.81846i | 0.957733 | + | 0.287658i | ||||
\(97\) | −0.895660 | + | 5.07954i | −0.0909405 | + | 0.515749i | 0.904975 | + | 0.425464i | \(0.139889\pi\) |
−0.995916 | + | 0.0902855i | \(0.971222\pi\) | |||||||
\(98\) | −0.138539 | + | 1.40741i | −0.0139945 | + | 0.142170i | ||||
\(99\) | 2.93514 | − | 1.23277i | 0.294993 | − | 0.123898i | ||||
\(100\) | −5.30100 | − | 1.05382i | −0.530100 | − | 0.105382i | ||||
\(101\) | 4.69743 | − | 5.59818i | 0.467411 | − | 0.557039i | −0.479912 | − | 0.877316i | \(-0.659332\pi\) |
0.947324 | + | 0.320277i | \(0.103776\pi\) | |||||||
\(102\) | 0.882338 | − | 3.47916i | 0.0873644 | − | 0.344488i | ||||
\(103\) | −7.02699 | + | 1.23905i | −0.692390 | + | 0.122087i | −0.508760 | − | 0.860908i | \(-0.669896\pi\) |
−0.183630 | + | 0.982995i | \(0.558785\pi\) | |||||||
\(104\) | −6.49271 | − | 15.1965i | −0.636663 | − | 1.49014i | ||||
\(105\) | −1.36753 | − | 2.24115i | −0.133458 | − | 0.218714i | ||||
\(106\) | 0.573174 | − | 2.04986i | 0.0556716 | − | 0.199100i | ||||
\(107\) | −5.78904 | −0.559648 | −0.279824 | − | 0.960051i | \(-0.590276\pi\) | ||||
−0.279824 | + | 0.960051i | \(0.590276\pi\) | |||||||
\(108\) | 9.25385 | + | 4.72929i | 0.890453 | + | 0.455076i | ||||
\(109\) | 9.92434 | 0.950579 | 0.475290 | − | 0.879829i | \(-0.342343\pi\) | ||||
0.475290 | + | 0.879829i | \(0.342343\pi\) | |||||||
\(110\) | 0.612570 | − | 2.19076i | 0.0584062 | − | 0.208881i | ||||
\(111\) | −6.71549 | + | 0.163099i | −0.637406 | + | 0.0154806i | ||||
\(112\) | −3.90538 | − | 0.864890i | −0.369023 | − | 0.0817244i | ||||
\(113\) | 8.09895 | − | 1.42806i | 0.761886 | − | 0.134341i | 0.220812 | − | 0.975316i | \(-0.429129\pi\) |
0.541073 | + | 0.840975i | \(0.318018\pi\) | |||||||
\(114\) | −0.617565 | + | 0.174398i | −0.0578402 | + | 0.0163338i | ||||
\(115\) | 5.08100 | − | 6.05530i | 0.473806 | − | 0.564660i | ||||
\(116\) | −0.634727 | + | 3.19284i | −0.0589329 | + | 0.296448i | ||||
\(117\) | −3.87807 | − | 17.0935i | −0.358527 | − | 1.58029i | ||||
\(118\) | 0.634079 | − | 6.44158i | 0.0583717 | − | 0.592996i | ||||
\(119\) | −0.254451 | + | 1.44307i | −0.0233255 | + | 0.132286i | ||||
\(120\) | 6.75585 | − | 3.08249i | 0.616722 | − | 0.281392i | ||||
\(121\) | 9.27845 | + | 3.37708i | 0.843495 | + | 0.307007i | ||||
\(122\) | −11.1294 | − | 16.2673i | −1.00761 | − | 1.47278i | ||||
\(123\) | −3.20463 | − | 3.63605i | −0.288951 | − | 0.327852i | ||||
\(124\) | 2.09464 | + | 13.5990i | 0.188104 | + | 1.22123i | ||||
\(125\) | −10.1110 | + | 5.83760i | −0.904358 | + | 0.522131i | ||||
\(126\) | −3.91001 | − | 1.64677i | −0.348331 | − | 0.146706i | ||||
\(127\) | −13.1247 | − | 7.57752i | −1.16462 | − | 0.672396i | −0.212216 | − | 0.977223i | \(-0.568068\pi\) |
−0.952408 | + | 0.304826i | \(0.901402\pi\) | |||||||
\(128\) | 3.74916 | − | 10.6744i | 0.331382 | − | 0.943497i | ||||
\(129\) | 5.40070 | − | 6.76323i | 0.475505 | − | 0.595469i | ||||
\(130\) | −11.2930 | − | 5.41600i | −0.990464 | − | 0.475015i | ||||
\(131\) | −5.28803 | + | 4.43719i | −0.462017 | + | 0.387679i | −0.843873 | − | 0.536543i | \(-0.819730\pi\) |
0.381855 | + | 0.924222i | \(0.375285\pi\) | |||||||
\(132\) | −1.26616 | − | 3.45106i | −0.110205 | − | 0.300376i | ||||
\(133\) | 0.246180 | − | 0.0896024i | 0.0213466 | − | 0.00776951i | ||||
\(134\) | 5.37477 | − | 7.50137i | 0.464310 | − | 0.648020i | ||||
\(135\) | 7.63653 | − | 1.92862i | 0.657248 | − | 0.165989i | ||||
\(136\) | −3.96631 | − | 1.20244i | −0.340108 | − | 0.103109i | ||||
\(137\) | −0.584125 | − | 1.60487i | −0.0499051 | − | 0.137113i | 0.912236 | − | 0.409665i | \(-0.134355\pi\) |
−0.962141 | + | 0.272552i | \(0.912132\pi\) | |||||||
\(138\) | 0.942316 | − | 12.7389i | 0.0802152 | − | 1.08441i | ||||
\(139\) | −2.73388 | − | 3.25811i | −0.231885 | − | 0.276349i | 0.637538 | − | 0.770419i | \(-0.279953\pi\) |
−0.869422 | + | 0.494070i | \(0.835509\pi\) | |||||||
\(140\) | −2.65771 | + | 1.45846i | −0.224618 | + | 0.123262i | ||||
\(141\) | 16.0595 | − | 6.29084i | 1.35246 | − | 0.529784i | ||||
\(142\) | −5.23581 | − | 20.4244i | −0.439379 | − | 1.71398i | ||||
\(143\) | −3.10001 | + | 5.36938i | −0.259236 | + | 0.449010i | ||||
\(144\) | 5.94636 | − | 10.4231i | 0.495530 | − | 0.868591i | ||||
\(145\) | 1.23360 | + | 2.13666i | 0.102445 | + | 0.177440i | ||||
\(146\) | 6.36051 | − | 6.22393i | 0.526399 | − | 0.515096i | ||||
\(147\) | 1.64150 | + | 0.552704i | 0.135389 | + | 0.0455863i | ||||
\(148\) | −0.168348 | + | 7.75484i | −0.0138382 | + | 0.637444i | ||||
\(149\) | −4.20962 | + | 11.5658i | −0.344866 | + | 0.947511i | 0.639095 | + | 0.769128i | \(0.279309\pi\) |
−0.983961 | + | 0.178384i | \(0.942913\pi\) | |||||||
\(150\) | −2.71667 | + | 6.03625i | −0.221815 | + | 0.492858i | ||||
\(151\) | −7.93627 | − | 1.39938i | −0.645844 | − | 0.113880i | −0.158875 | − | 0.987299i | \(-0.550787\pi\) |
−0.486969 | + | 0.873419i | \(0.661898\pi\) | |||||||
\(152\) | 0.168382 | + | 0.721606i | 0.0136576 | + | 0.0585300i | ||||
\(153\) | −3.90924 | − | 2.01059i | −0.316044 | − | 0.162546i | ||||
\(154\) | 0.619435 | + | 1.36692i | 0.0499155 | + | 0.110150i | ||||
\(155\) | 7.98847 | + | 6.70312i | 0.641649 | + | 0.538407i | ||||
\(156\) | −19.9229 | + | 3.56589i | −1.59510 | + | 0.285500i | ||||
\(157\) | −3.32252 | − | 18.8429i | −0.265166 | − | 1.50383i | −0.768563 | − | 0.639774i | \(-0.779028\pi\) |
0.503397 | − | 0.864055i | \(-0.332083\pi\) | |||||||
\(158\) | −0.485744 | − | 6.34438i | −0.0386437 | − | 0.504732i | ||||
\(159\) | −2.28859 | − | 1.24823i | −0.181497 | − | 0.0989911i | ||||
\(160\) | −3.19697 | − | 7.95636i | −0.252743 | − | 0.629006i | ||||
\(161\) | 5.21484i | 0.410987i | ||||||||
\(162\) | 8.19100 | − | 9.74205i | 0.643546 | − | 0.765407i | ||||
\(163\) | − | 13.3215i | − | 1.04342i | −0.853122 | − | 0.521712i | \(-0.825294\pi\) | ||
0.853122 | − | 0.521712i | \(-0.174706\pi\) | |||||||
\(164\) | −4.36422 | + | 3.50346i | −0.340789 | + | 0.273574i | ||||
\(165\) | −2.44589 | − | 1.33403i | −0.190412 | − | 0.103854i | ||||
\(166\) | −17.6663 | + | 1.35258i | −1.37117 | + | 0.104980i | ||||
\(167\) | 2.27549 | + | 12.9049i | 0.176082 | + | 0.998613i | 0.936887 | + | 0.349632i | \(0.113693\pi\) |
−0.760805 | + | 0.648981i | \(0.775195\pi\) | |||||||
\(168\) | −2.10707 | + | 4.42270i | −0.162564 | + | 0.341218i | ||||
\(169\) | 16.1914 | + | 13.5862i | 1.24549 | + | 1.04509i | ||||
\(170\) | −2.86110 | + | 1.29654i | −0.219436 | + | 0.0994399i | ||||
\(171\) | 0.0381536 | + | 0.785013i | 0.00291768 | + | 0.0600314i | ||||
\(172\) | −7.51456 | − | 6.58862i | −0.572980 | − | 0.502377i | ||||
\(173\) | −19.5666 | − | 3.45013i | −1.48762 | − | 0.262308i | −0.630004 | − | 0.776592i | \(-0.716947\pi\) |
−0.857620 | + | 0.514284i | \(0.828058\pi\) | |||||||
\(174\) | 3.63569 | + | 1.63628i | 0.275621 | + | 0.124046i | ||||
\(175\) | 0.924263 | − | 2.53939i | 0.0698677 | − | 0.191960i | ||||
\(176\) | −4.04794 | + | 1.27730i | −0.305125 | + | 0.0962802i | ||||
\(177\) | −7.51298 | − | 2.52967i | −0.564710 | − | 0.190142i | ||||
\(178\) | 14.3797 | + | 14.6952i | 1.07780 | + | 1.10145i | ||||
\(179\) | 0.521808 | + | 0.903798i | 0.0390018 | + | 0.0675531i | 0.884867 | − | 0.465843i | \(-0.154249\pi\) |
−0.845866 | + | 0.533396i | \(0.820916\pi\) | |||||||
\(180\) | −1.81926 | − | 8.91096i | −0.135599 | − | 0.664184i | ||||
\(181\) | 7.85669 | − | 13.6082i | 0.583983 | − | 1.01149i | −0.411018 | − | 0.911627i | \(-0.634827\pi\) |
0.995001 | − | 0.0998612i | \(-0.0318399\pi\) | |||||||
\(182\) | 8.00392 | − | 2.05181i | 0.593290 | − | 0.152090i | ||||
\(183\) | −22.4769 | + | 8.80466i | −1.66154 | + | 0.650859i | ||||
\(184\) | −14.6440 | − | 1.76316i | −1.07957 | − | 0.129982i | ||||
\(185\) | 3.77879 | + | 4.50339i | 0.277822 | + | 0.331096i | ||||
\(186\) | 16.8058 | + | 1.24315i | 1.23226 | + | 0.0911523i | ||||
\(187\) | 0.531828 | + | 1.46119i | 0.0388911 | + | 0.106853i | ||||
\(188\) | −6.40386 | − | 18.8583i | −0.467050 | − | 1.37538i | ||||
\(189\) | −3.04146 | + | 4.21302i | −0.221233 | + | 0.306452i | ||||
\(190\) | 0.456509 | + | 0.327091i | 0.0331186 | + | 0.0237297i | ||||
\(191\) | 18.5773 | − | 6.76160i | 1.34421 | − | 0.489252i | 0.433073 | − | 0.901359i | \(-0.357429\pi\) |
0.911136 | + | 0.412107i | \(0.135207\pi\) | |||||||
\(192\) | −11.7072 | − | 7.41230i | −0.844892 | − | 0.534937i | ||||
\(193\) | 18.3285 | − | 15.3794i | 1.31931 | − | 1.10703i | 0.332861 | − | 0.942976i | \(-0.391986\pi\) |
0.986451 | − | 0.164058i | \(-0.0524583\pi\) | |||||||
\(194\) | 3.15430 | − | 6.57711i | 0.226466 | − | 0.472209i | ||||
\(195\) | −9.57179 | + | 11.9866i | −0.685450 | + | 0.858380i | ||||
\(196\) | 0.724669 | − | 1.86410i | 0.0517621 | − | 0.133150i | ||||
\(197\) | 6.08887 | + | 3.51541i | 0.433814 | + | 0.250463i | 0.700970 | − | 0.713191i | \(-0.252751\pi\) |
−0.267156 | + | 0.963653i | \(0.586084\pi\) | |||||||
\(198\) | −4.46705 | + | 0.561209i | −0.317460 | + | 0.0398834i | ||||
\(199\) | 18.8203 | − | 10.8659i | 1.33413 | − | 0.770263i | 0.348204 | − | 0.937419i | \(-0.386792\pi\) |
0.985930 | + | 0.167156i | \(0.0534584\pi\) | |||||||
\(200\) | 6.81849 | + | 3.45405i | 0.482140 | + | 0.244238i | ||||
\(201\) | −7.47294 | − | 8.47899i | −0.527101 | − | 0.598062i | ||||
\(202\) | −8.52971 | + | 5.83565i | −0.600148 | + | 0.410595i | ||||
\(203\) | −1.52950 | − | 0.556693i | −0.107350 | − | 0.0390722i | ||||
\(204\) | −2.52668 | + | 4.40251i | −0.176903 | + | 0.308237i | ||||
\(205\) | −0.736540 | + | 4.17712i | −0.0514422 | + | 0.291743i | ||||
\(206\) | 10.0424 | + | 0.988530i | 0.699689 | + | 0.0688741i | ||||
\(207\) | −14.9435 | − | 4.63077i | −1.03864 | − | 0.321861i | ||||
\(208\) | 3.05562 | + | 23.1699i | 0.211869 | + | 1.60654i | ||||
\(209\) | 0.178698 | − | 0.212964i | 0.0123608 | − | 0.0147311i | ||||
\(210\) | 1.00905 | + | 3.57318i | 0.0696311 | + | 0.246573i | ||||
\(211\) | 10.3495 | − | 1.82489i | 0.712488 | − | 0.125631i | 0.194356 | − | 0.980931i | \(-0.437738\pi\) |
0.518133 | + | 0.855300i | \(0.326627\pi\) | |||||||
\(212\) | −1.56129 | + | 2.57358i | −0.107230 | + | 0.176754i | ||||
\(213\) | −25.8159 | + | 0.626989i | −1.76888 | + | 0.0429606i | ||||
\(214\) | 7.88452 | + | 2.20463i | 0.538974 | + | 0.150706i | ||||
\(215\) | −7.57437 | −0.516568 | ||||||||
\(216\) | −10.8024 | − | 9.96530i | −0.735013 | − | 0.678053i | ||||
\(217\) | −6.87969 | −0.467024 | ||||||||
\(218\) | −13.5167 | − | 3.77947i | −0.915465 | − | 0.255978i | ||||
\(219\) | −5.67711 | − | 9.30379i | −0.383623 | − | 0.628692i | ||||
\(220\) | −1.66861 | + | 2.75047i | −0.112497 | + | 0.185437i | ||||
\(221\) | 8.43129 | − | 1.48666i | 0.567150 | − | 0.100004i | ||||
\(222\) | 9.20842 | + | 2.33531i | 0.618029 | + | 0.156736i | ||||
\(223\) | 11.9522 | − | 14.2440i | 0.800377 | − | 0.953852i | −0.199283 | − | 0.979942i | \(-0.563861\pi\) |
0.999660 | + | 0.0260903i | \(0.00830575\pi\) | |||||||
\(224\) | 4.98964 | + | 2.66524i | 0.333384 | + | 0.178079i | ||||
\(225\) | 6.45605 | + | 4.90351i | 0.430403 | + | 0.326901i | ||||
\(226\) | −11.5744 | − | 1.13933i | −0.769918 | − | 0.0757871i | ||||
\(227\) | 4.91411 | − | 27.8693i | 0.326161 | − | 1.84975i | −0.175225 | − | 0.984528i | \(-0.556065\pi\) |
0.501387 | − | 0.865223i | \(-0.332823\pi\) | |||||||
\(228\) | 0.907522 | − | 0.00233846i | 0.0601021 | − | 0.000154868i | ||||
\(229\) | −19.8799 | − | 7.23568i | −1.31370 | − | 0.478147i | −0.412264 | − | 0.911064i | \(-0.635262\pi\) |
−0.901434 | + | 0.432917i | \(0.857484\pi\) | |||||||
\(230\) | −9.22622 | + | 6.31217i | −0.608359 | + | 0.416212i | ||||
\(231\) | 1.80180 | − | 0.363020i | 0.118549 | − | 0.0238850i | ||||
\(232\) | 2.08041 | − | 4.10684i | 0.136585 | − | 0.269627i | ||||
\(233\) | −16.8047 | + | 9.70218i | −1.10091 | + | 0.635611i | −0.936460 | − | 0.350774i | \(-0.885918\pi\) |
−0.164450 | + | 0.986385i | \(0.552585\pi\) | |||||||
\(234\) | −1.22787 | + | 24.7577i | −0.0802685 | + | 1.61846i | ||||
\(235\) | −13.0720 | − | 7.54712i | −0.852723 | − | 0.492320i | ||||
\(236\) | −3.31674 | + | 8.53179i | −0.215901 | + | 0.555372i | ||||
\(237\) | −7.70519 | − | 1.16650i | −0.500506 | − | 0.0757724i | ||||
\(238\) | 0.896116 | − | 1.86851i | 0.0580866 | − | 0.121118i | ||||
\(239\) | −9.00386 | + | 7.55514i | −0.582412 | + | 0.488701i | −0.885738 | − | 0.464185i | \(-0.846347\pi\) |
0.303327 | + | 0.952887i | \(0.401903\pi\) | |||||||
\(240\) | −10.3752 | + | 1.62545i | −0.669715 | + | 0.104923i | ||||
\(241\) | 23.6903 | − | 8.62255i | 1.52602 | − | 0.555427i | 0.563380 | − | 0.826198i | \(-0.309501\pi\) |
0.962644 | + | 0.270771i | \(0.0872786\pi\) | |||||||
\(242\) | −11.3509 | − | 8.13299i | −0.729664 | − | 0.522808i | ||||
\(243\) | −9.37188 | − | 12.4566i | −0.601206 | − | 0.799094i | ||||
\(244\) | 8.96285 | + | 26.3941i | 0.573788 | + | 1.68971i | ||||
\(245\) | −0.518432 | − | 1.42438i | −0.0331214 | − | 0.0910004i | ||||
\(246\) | 2.97990 | + | 6.17262i | 0.189991 | + | 0.393552i | ||||
\(247\) | −0.983883 | − | 1.17255i | −0.0626030 | − | 0.0746073i | ||||
\(248\) | 2.32606 | − | 19.3192i | 0.147705 | − | 1.22677i | ||||
\(249\) | −3.24818 | + | 21.4555i | −0.205845 | + | 1.35969i | ||||
\(250\) | 15.9941 | − | 4.10009i | 1.01155 | − | 0.259312i | ||||
\(251\) | −3.20269 | + | 5.54723i | −0.202152 | + | 0.350138i | −0.949222 | − | 0.314608i | \(-0.898127\pi\) |
0.747069 | + | 0.664746i | \(0.231460\pi\) | |||||||
\(252\) | 4.69818 | + | 3.73190i | 0.295958 | + | 0.235088i | ||||
\(253\) | 2.76692 | + | 4.79245i | 0.173955 | + | 0.301299i | ||||
\(254\) | 14.9897 | + | 15.3186i | 0.940536 | + | 0.961176i | ||||
\(255\) | 0.759836 | + | 3.77134i | 0.0475828 | + | 0.236170i | ||||
\(256\) | −9.17139 | + | 13.1105i | −0.573212 | + | 0.819407i | ||||
\(257\) | −1.36496 | + | 3.75019i | −0.0851437 | + | 0.233930i | −0.974957 | − | 0.222395i | \(-0.928612\pi\) |
0.889813 | + | 0.456325i | \(0.150835\pi\) | |||||||
\(258\) | −9.93124 | + | 7.15459i | −0.618292 | + | 0.445425i | ||||
\(259\) | −3.81941 | − | 0.673465i | −0.237327 | − | 0.0418471i | ||||
\(260\) | 13.3182 | + | 11.6772i | 0.825961 | + | 0.724186i | ||||
\(261\) | 2.95343 | − | 3.88854i | 0.182813 | − | 0.240695i | ||||
\(262\) | 8.89196 | − | 4.02949i | 0.549347 | − | 0.248943i | ||||
\(263\) | 17.4869 | + | 14.6732i | 1.07829 | + | 0.904791i | 0.995778 | − | 0.0917995i | \(-0.0292619\pi\) |
0.0825101 | + | 0.996590i | \(0.473706\pi\) | |||||||
\(264\) | 0.410217 | + | 5.18245i | 0.0252471 | + | 0.318957i | ||||
\(265\) | 0.396157 | + | 2.24672i | 0.0243357 | + | 0.138015i | ||||
\(266\) | −0.369414 | + | 0.0282834i | −0.0226502 | + | 0.00173417i | ||||
\(267\) | 21.4954 | − | 13.1163i | 1.31549 | − | 0.802706i | ||||
\(268\) | −10.1770 | + | 8.16979i | −0.621661 | + | 0.499050i | ||||
\(269\) | − | 14.7493i | − | 0.899281i | −0.893210 | − | 0.449641i | \(-0.851552\pi\) | ||
0.893210 | − | 0.449641i | \(-0.148448\pi\) | |||||||
\(270\) | −11.1352 | − | 0.281477i | −0.677668 | − | 0.0171301i | ||||
\(271\) | − | 11.1820i | − | 0.679259i | −0.940559 | − | 0.339629i | \(-0.889698\pi\) | ||
0.940559 | − | 0.339629i | \(-0.110302\pi\) | |||||||
\(272\) | 4.94408 | + | 3.14818i | 0.299779 | + | 0.190886i | ||||
\(273\) | −0.245705 | − | 10.1167i | −0.0148707 | − | 0.612293i | ||||
\(274\) | 0.184382 | + | 2.40824i | 0.0111389 | + | 0.145487i | ||||
\(275\) | −0.497966 | − | 2.82411i | −0.0300285 | − | 0.170300i | ||||
\(276\) | −6.13475 | + | 16.9912i | −0.369268 | + | 1.02275i | ||||
\(277\) | −5.07199 | − | 4.25591i | −0.304746 | − | 0.255713i | 0.477570 | − | 0.878594i | \(-0.341518\pi\) |
−0.782317 | + | 0.622881i | \(0.785962\pi\) | |||||||
\(278\) | 2.48269 | + | 5.47860i | 0.148902 | + | 0.328584i | ||||
\(279\) | 6.10915 | − | 19.7142i | 0.365745 | − | 1.18026i | ||||
\(280\) | 4.17516 | − | 0.974244i | 0.249513 | − | 0.0582222i | ||||
\(281\) | 5.70964 | + | 1.00676i | 0.340609 | + | 0.0600585i | 0.341336 | − | 0.939941i | \(-0.389120\pi\) |
−0.000727626 | 1.00000i | \(0.500232\pi\) | ||||||||
\(282\) | −24.2684 | + | 2.45202i | −1.44516 | + | 0.146016i | ||||
\(283\) | 2.99030 | − | 8.21578i | 0.177755 | − | 0.488378i | −0.818533 | − | 0.574459i | \(-0.805212\pi\) |
0.996288 | + | 0.0860816i | \(0.0274346\pi\) | |||||||
\(284\) | −0.647171 | + | 29.8114i | −0.0384025 | + | 1.76898i | ||||
\(285\) | 0.516004 | − | 0.454779i | 0.0305654 | − | 0.0269388i | ||||
\(286\) | 6.26695 | − | 6.13238i | 0.370572 | − | 0.362615i | ||||
\(287\) | −1.39912 | − | 2.42335i | −0.0825875 | − | 0.143046i | ||||
\(288\) | −12.0682 | + | 11.9314i | −0.711125 | + | 0.703065i | ||||
\(289\) | −7.42641 | + | 12.8629i | −0.436848 | + | 0.756642i | ||||
\(290\) | −0.866429 | − | 3.37986i | −0.0508785 | − | 0.198472i | ||||
\(291\) | −6.98106 | − | 5.57465i | −0.409237 | − | 0.326792i | ||||
\(292\) | −11.0331 | + | 6.05456i | −0.645663 | + | 0.354316i | ||||
\(293\) | −4.68705 | − | 5.58581i | −0.273821 | − | 0.326327i | 0.611556 | − | 0.791201i | \(-0.290544\pi\) |
−0.885377 | + | 0.464874i | \(0.846099\pi\) | |||||||
\(294\) | −2.02519 | − | 1.37790i | −0.118112 | − | 0.0803606i | ||||
\(295\) | 2.37281 | + | 6.51925i | 0.138151 | + | 0.379566i | ||||
\(296\) | 3.18255 | − | 10.4978i | 0.184982 | − | 0.610170i | ||||
\(297\) | −0.559734 | + | 5.48552i | −0.0324791 | + | 0.318302i | ||||
\(298\) | 10.1380 | − | 14.1492i | 0.587279 | − | 0.819643i | ||||
\(299\) | 28.6309 | − | 10.4208i | 1.65577 | − | 0.602651i | ||||
\(300\) | 5.99881 | − | 7.18663i | 0.346341 | − | 0.414920i | ||||
\(301\) | 3.82789 | − | 3.21199i | 0.220636 | − | 0.185136i | ||||
\(302\) | 10.2761 | + | 4.92827i | 0.591321 | + | 0.283590i | ||||
\(303\) | 4.61669 | + | 11.7857i | 0.265222 | + | 0.677070i | ||||
\(304\) | 0.0454768 | − | 1.04693i | 0.00260827 | − | 0.0600457i | ||||
\(305\) | 18.2956 | + | 10.5629i | 1.04760 | + | 0.604833i | ||||
\(306\) | 4.55860 | + | 4.22711i | 0.260598 | + | 0.241648i | ||||
\(307\) | 18.1517 | − | 10.4799i | 1.03597 | − | 0.598118i | 0.117282 | − | 0.993099i | \(-0.462582\pi\) |
0.918690 | + | 0.394980i | \(0.129249\pi\) | |||||||
\(308\) | −0.323091 | − | 2.09761i | −0.0184098 | − | 0.119522i | ||||
\(309\) | 3.94376 | − | 11.7127i | 0.224353 | − | 0.666314i | ||||
\(310\) | −8.32733 | − | 12.1717i | −0.472961 | − | 0.691306i | ||||
\(311\) | −14.5939 | − | 5.31176i | −0.827546 | − | 0.301202i | −0.106695 | − | 0.994292i | \(-0.534027\pi\) |
−0.720851 | + | 0.693090i | \(0.756249\pi\) | |||||||
\(312\) | 28.4924 | + | 2.73054i | 1.61306 | + | 0.154587i | ||||
\(313\) | −2.09149 | + | 11.8614i | −0.118218 | + | 0.670448i | 0.866888 | + | 0.498502i | \(0.166116\pi\) |
−0.985106 | + | 0.171946i | \(0.944995\pi\) | |||||||
\(314\) | −2.65075 | + | 26.9289i | −0.149590 | + | 1.51968i | ||||
\(315\) | 4.54202 | − | 0.220754i | 0.255914 | − | 0.0124381i | ||||
\(316\) | −1.75455 | + | 8.82586i | −0.0987013 | + | 0.496493i | ||||
\(317\) | 3.81130 | − | 4.54213i | 0.214064 | − | 0.255112i | −0.648318 | − | 0.761370i | \(-0.724527\pi\) |
0.862382 | + | 0.506258i | \(0.168972\pi\) | |||||||
\(318\) | 2.64163 | + | 2.57161i | 0.148135 | + | 0.144209i | ||||
\(319\) | −1.70099 | + | 0.299930i | −0.0952369 | + | 0.0167928i | ||||
\(320\) | 1.32418 | + | 12.0538i | 0.0740239 | + | 0.673830i | ||||
\(321\) | 4.80114 | − | 8.80273i | 0.267974 | − | 0.491320i | ||||
\(322\) | 1.98596 | − | 7.10248i | 0.110673 | − | 0.395806i | ||||
\(323\) | −0.383886 | −0.0213600 | ||||||||
\(324\) | −14.8660 | + | 10.1490i | −0.825887 | + | 0.563835i | ||||
\(325\) | −15.7889 | −0.875811 | ||||||||
\(326\) | −5.07323 | + | 18.1436i | −0.280980 | + | 1.00488i | ||||
\(327\) | −8.23075 | + | 15.0908i | −0.455162 | + | 0.834523i | ||||
\(328\) | 7.27817 | − | 3.10959i | 0.401870 | − | 0.171699i | ||||
\(329\) | 9.80668 | − | 1.72918i | 0.540660 | − | 0.0953329i | ||||
\(330\) | 2.82320 | + | 2.74837i | 0.155412 | + | 0.151293i | ||||
\(331\) | 9.49153 | − | 11.3116i | 0.521701 | − | 0.621740i | −0.439281 | − | 0.898350i | \(-0.644767\pi\) |
0.960982 | + | 0.276610i | \(0.0892111\pi\) | |||||||
\(332\) | 24.5761 | + | 4.88564i | 1.34879 | + | 0.268134i | ||||
\(333\) | 5.32149 | − | 10.3467i | 0.291616 | − | 0.566997i | ||||
\(334\) | 1.81541 | − | 18.4427i | 0.0993351 | − | 1.00914i | ||||
\(335\) | −1.71755 | + | 9.74073i | −0.0938400 | + | 0.532193i | ||||
\(336\) | 4.55406 | − | 5.22116i | 0.248445 | − | 0.284838i | ||||
\(337\) | 14.5028 | + | 5.27859i | 0.790018 | + | 0.287543i | 0.705344 | − | 0.708866i | \(-0.250793\pi\) |
0.0846746 | + | 0.996409i | \(0.473015\pi\) | |||||||
\(338\) | −16.8782 | − | 24.6701i | −0.918052 | − | 1.34188i | ||||
\(339\) | −4.54538 | + | 13.4995i | −0.246871 | + | 0.733193i | ||||
\(340\) | 4.39049 | − | 0.676261i | 0.238108 | − | 0.0366754i | ||||
\(341\) | −6.32244 | + | 3.65026i | −0.342379 | + | 0.197673i | ||||
\(342\) | 0.246991 | − | 1.08370i | 0.0133558 | − | 0.0585996i | ||||
\(343\) | 0.866025 | + | 0.500000i | 0.0467610 | + | 0.0269975i | ||||
\(344\) | 7.72550 | + | 11.8353i | 0.416531 | + | 0.638115i | ||||
\(345\) | 4.99367 | + | 12.7481i | 0.268850 | + | 0.686333i | ||||
\(346\) | 25.3353 | + | 12.1505i | 1.36203 | + | 0.653215i | ||||
\(347\) | 11.0344 | − | 9.25895i | 0.592357 | − | 0.497046i | −0.296622 | − | 0.954995i | \(-0.595860\pi\) |
0.888979 | + | 0.457949i | \(0.151416\pi\) | |||||||
\(348\) | −4.32858 | − | 3.61314i | −0.232036 | − | 0.193685i | ||||
\(349\) | −15.6347 | + | 5.69057i | −0.836908 | + | 0.304609i | −0.724691 | − | 0.689074i | \(-0.758017\pi\) |
−0.112217 | + | 0.993684i | \(0.535795\pi\) | |||||||
\(350\) | −2.22589 | + | 3.10660i | −0.118979 | + | 0.166055i | ||||
\(351\) | 29.2084 | + | 8.27957i | 1.55903 | + | 0.441931i | ||||
\(352\) | 5.99962 | − | 0.198077i | 0.319781 | − | 0.0105575i | ||||
\(353\) | 1.58186 | + | 4.34613i | 0.0841940 | + | 0.231321i | 0.974644 | − | 0.223759i | \(-0.0718329\pi\) |
−0.890451 | + | 0.455080i | \(0.849611\pi\) | |||||||
\(354\) | 9.26910 | + | 6.30650i | 0.492647 | + | 0.335187i | ||||
\(355\) | 14.5266 | + | 17.3121i | 0.770990 | + | 0.918830i | ||||
\(356\) | −13.9884 | − | 25.4907i | −0.741382 | − | 1.35100i | ||||
\(357\) | −1.98327 | − | 1.58372i | −0.104966 | − | 0.0838194i | ||||
\(358\) | −0.366496 | − | 1.42967i | −0.0193699 | − | 0.0755603i | ||||
\(359\) | 4.40361 | − | 7.62727i | 0.232413 | − | 0.402552i | −0.726104 | − | 0.687585i | \(-0.758671\pi\) |
0.958518 | + | 0.285033i | \(0.0920044\pi\) | |||||||
\(360\) | −0.915770 | + | 12.8293i | −0.0482653 | + | 0.676164i | ||||
\(361\) | −9.46568 | − | 16.3950i | −0.498194 | − | 0.862897i | ||||
\(362\) | −15.8830 | + | 15.5419i | −0.834791 | + | 0.816865i | ||||
\(363\) | −12.8302 | + | 11.3079i | −0.673412 | + | 0.593510i | ||||
\(364\) | −11.6825 | − | 0.253613i | −0.612330 | − | 0.0132930i | ||||
\(365\) | −3.26228 | + | 8.96305i | −0.170756 | + | 0.469147i | ||||
\(366\) | 33.9660 | − | 3.43185i | 1.77543 | − | 0.179386i | ||||
\(367\) | −12.3917 | − | 2.18499i | −0.646843 | − | 0.114056i | −0.159405 | − | 0.987213i | \(-0.550957\pi\) |
−0.487438 | + | 0.873158i | \(0.662069\pi\) | |||||||
\(368\) | 19.2733 | + | 7.97825i | 1.00469 | + | 0.415895i | ||||
\(369\) | 8.18668 | − | 1.85734i | 0.426182 | − | 0.0966895i | ||||
\(370\) | −3.43159 | − | 7.57256i | −0.178400 | − | 0.393679i | ||||
\(371\) | −1.15295 | − | 0.967440i | −0.0598582 | − | 0.0502270i | ||||
\(372\) | −22.4156 | − | 8.09327i | −1.16220 | − | 0.419617i | ||||
\(373\) | −1.51521 | − | 8.59316i | −0.0784544 | − | 0.444937i | −0.998578 | − | 0.0533091i | \(-0.983023\pi\) |
0.920124 | − | 0.391628i | \(-0.128088\pi\) | |||||||
\(374\) | −0.167874 | − | 2.19263i | −0.00868056 | − | 0.113378i | ||||
\(375\) | −0.490987 | − | 20.2161i | −0.0253545 | − | 1.04395i | ||||
\(376\) | 1.54011 | + | 28.1232i | 0.0794252 | + | 1.45035i | ||||
\(377\) | 9.50981i | 0.489780i | ||||||||
\(378\) | 5.74682 | − | 4.57975i | 0.295584 | − | 0.235557i | ||||
\(379\) | − | 6.73809i | − | 0.346112i | −0.984912 | − | 0.173056i | \(-0.944636\pi\) | ||
0.984912 | − | 0.173056i | \(-0.0553642\pi\) | |||||||
\(380\) | −0.497187 | − | 0.619341i | −0.0255052 | − | 0.0317715i | ||||
\(381\) | 22.4072 | − | 13.6727i | 1.14796 | − | 0.700475i | ||||
\(382\) | −27.8768 | + | 2.13433i | −1.42630 | + | 0.109202i | ||||
\(383\) | 3.18602 | + | 18.0688i | 0.162798 | + | 0.923272i | 0.951306 | + | 0.308248i | \(0.0997427\pi\) |
−0.788508 | + | 0.615024i | \(0.789146\pi\) | |||||||
\(384\) | 13.1220 | + | 14.5538i | 0.669631 | + | 0.742694i | ||||
\(385\) | −1.23220 | − | 1.03394i | −0.0627985 | − | 0.0526942i | ||||
\(386\) | −30.8198 | + | 13.9663i | −1.56869 | + | 0.710867i | ||||
\(387\) | 5.80499 | + | 13.8213i | 0.295084 | + | 0.702577i | ||||
\(388\) | −6.80082 | + | 7.75659i | −0.345259 | + | 0.393781i | ||||
\(389\) | −38.5031 | − | 6.78913i | −1.95218 | − | 0.344223i | −0.999144 | − | 0.0413757i | \(-0.986826\pi\) |
−0.953039 | − | 0.302847i | \(-0.902063\pi\) | |||||||
\(390\) | 17.6014 | − | 12.6802i | 0.891280 | − | 0.642089i | ||||
\(391\) | 2.61353 | − | 7.18062i | 0.132172 | − | 0.363139i | ||||
\(392\) | −1.69688 | + | 2.26287i | −0.0857054 | + | 0.114292i | ||||
\(393\) | −2.36149 | − | 11.7209i | −0.119121 | − | 0.591240i | ||||
\(394\) | −6.95410 | − | 7.10671i | −0.350343 | − | 0.358031i | ||||
\(395\) | 3.41000 | + | 5.90629i | 0.171576 | + | 0.297178i | ||||
\(396\) | 6.29773 | + | 0.936831i | 0.316473 | + | 0.0470775i | ||||
\(397\) | 5.14459 | − | 8.91070i | 0.258200 | − | 0.447215i | −0.707560 | − | 0.706653i | \(-0.750204\pi\) |
0.965760 | + | 0.259438i | \(0.0835374\pi\) | |||||||
\(398\) | −29.7708 | + | 7.63175i | −1.49227 | + | 0.382545i | ||||
\(399\) | −0.0679219 | + | 0.448650i | −0.00340035 | + | 0.0224606i | ||||
\(400\) | −7.97119 | − | 7.30099i | −0.398560 | − | 0.365050i | ||||
\(401\) | 9.26267 | + | 11.0388i | 0.462555 | + | 0.551252i | 0.946019 | − | 0.324113i | \(-0.105066\pi\) |
−0.483463 | + | 0.875365i | \(0.660621\pi\) | |||||||
\(402\) | 6.94890 | + | 14.3941i | 0.346579 | + | 0.717911i | ||||
\(403\) | 13.7477 | + | 37.7714i | 0.684820 | + | 1.88153i | ||||
\(404\) | 13.8396 | − | 4.69963i | 0.688547 | − | 0.233815i | ||||
\(405\) | −3.40072 | + | 13.2115i | −0.168983 | + | 0.656484i | ||||
\(406\) | 1.87113 | + | 1.34068i | 0.0928628 | + | 0.0665367i | ||||
\(407\) | −3.86737 | + | 1.40761i | −0.191699 | + | 0.0697726i | ||||
\(408\) | 5.11788 | − | 5.03386i | 0.253373 | − | 0.249213i | ||||
\(409\) | −3.80243 | + | 3.19061i | −0.188018 | + | 0.157766i | −0.731938 | − | 0.681371i | \(-0.761384\pi\) |
0.543920 | + | 0.839137i | \(0.316939\pi\) | |||||||
\(410\) | 2.59392 | − | 5.40863i | 0.128104 | − | 0.267113i | ||||
\(411\) | 2.92478 | + | 0.442788i | 0.144269 | + | 0.0218411i | ||||
\(412\) | −13.3011 | − | 5.17080i | −0.655296 | − | 0.254747i | ||||
\(413\) | −3.96371 | − | 2.28845i | −0.195042 | − | 0.112607i | ||||
\(414\) | 18.5891 | + | 11.9979i | 0.913603 | + | 0.589664i | ||||
\(415\) | 16.4464 | − | 9.49531i | 0.807320 | − | 0.466107i | ||||
\(416\) | 4.66209 | − | 32.7204i | 0.228578 | − | 1.60425i | ||||
\(417\) | 7.22158 | − | 1.45498i | 0.353642 | − | 0.0712507i | ||||
\(418\) | −0.324485 | + | 0.221998i | −0.0158711 | + | 0.0108583i | ||||
\(419\) | 2.60649 | + | 0.948683i | 0.127335 | + | 0.0463462i | 0.404902 | − | 0.914360i | \(-0.367306\pi\) |
−0.277567 | + | 0.960706i | \(0.589528\pi\) | |||||||
\(420\) | −0.0135301 | − | 5.25085i | −0.000660203 | − | 0.256215i | ||||
\(421\) | −2.79696 | + | 15.8624i | −0.136316 | + | 0.773084i | 0.837619 | + | 0.546255i | \(0.183947\pi\) |
−0.973935 | + | 0.226829i | \(0.927164\pi\) | |||||||
\(422\) | −14.7907 | − | 1.45593i | −0.720000 | − | 0.0708734i | ||||
\(423\) | −3.75323 | + | 29.6372i | −0.182488 | + | 1.44101i | ||||
\(424\) | 3.10653 | − | 2.91056i | 0.150867 | − | 0.141349i | ||||
\(425\) | −2.54534 | + | 3.03342i | −0.123467 | + | 0.147142i | ||||
\(426\) | 35.3993 | + | 8.97750i | 1.71510 | + | 0.434961i | ||||
\(427\) | −13.7254 | + | 2.42016i | −0.664220 | + | 0.117120i | ||||
\(428\) | −9.89891 | − | 6.00530i | −0.478482 | − | 0.290277i | ||||
\(429\) | −5.59360 | − | 9.16693i | −0.270062 | − | 0.442584i | ||||
\(430\) | 10.3161 | + | 2.88454i | 0.497486 | + | 0.139105i | ||||
\(431\) | −3.76474 | −0.181341 | −0.0906705 | − | 0.995881i | \(-0.528901\pi\) | ||||
−0.0906705 | + | 0.995881i | \(0.528901\pi\) | |||||||
\(432\) | 10.9176 | + | 17.6863i | 0.525272 | + | 0.850935i | ||||
\(433\) | −33.9039 | −1.62932 | −0.814658 | − | 0.579942i | \(-0.803075\pi\) | ||||
−0.814658 | + | 0.579942i | \(0.803075\pi\) | |||||||
\(434\) | 9.36995 | + | 2.61998i | 0.449772 | + | 0.125763i | ||||
\(435\) | −4.27206 | + | 0.103755i | −0.204829 | + | 0.00497468i | ||||
\(436\) | 16.9700 | + | 10.2951i | 0.812716 | + | 0.493045i | ||||
\(437\) | −1.34543 | + | 0.237235i | −0.0643606 | + | 0.0113485i | ||||
\(438\) | 4.18892 | + | 14.8335i | 0.200154 | + | 0.708772i | ||||
\(439\) | 6.70059 | − | 7.98546i | 0.319802 | − | 0.381125i | −0.582063 | − | 0.813144i | \(-0.697754\pi\) |
0.901865 | + | 0.432019i | \(0.142199\pi\) | |||||||
\(440\) | 3.32005 | − | 3.11061i | 0.158277 | − | 0.148292i | ||||
\(441\) | −2.20181 | + | 2.03765i | −0.104848 | + | 0.0970311i | ||||
\(442\) | −12.0494 | − | 1.18608i | −0.573129 | − | 0.0564161i | ||||
\(443\) | 3.85978 | − | 21.8899i | 0.183384 | − | 1.04002i | −0.744631 | − | 0.667476i | \(-0.767375\pi\) |
0.928015 | − | 0.372544i | \(-0.121514\pi\) | |||||||
\(444\) | −11.6523 | − | 6.68746i | −0.552992 | − | 0.317373i | ||||
\(445\) | −20.7081 | − | 7.53714i | −0.981659 | − | 0.357294i | ||||
\(446\) | −21.7031 | + | 14.8483i | −1.02767 | + | 0.703086i | ||||
\(447\) | −14.0956 | − | 15.9932i | −0.666699 | − | 0.756454i | ||||
\(448\) | −5.78076 | − | 5.53018i | −0.273115 | − | 0.261276i | ||||
\(449\) | −33.9268 | + | 19.5877i | −1.60111 | + | 0.924399i | −0.609840 | + | 0.792525i | \(0.708766\pi\) |
−0.991266 | + | 0.131874i | \(0.957900\pi\) | |||||||
\(450\) | −6.92556 | − | 9.13710i | −0.326474 | − | 0.430727i | ||||
\(451\) | −2.57159 | − | 1.48471i | −0.121091 | − | 0.0699121i | ||||
\(452\) | 15.3301 | + | 5.95960i | 0.721069 | + | 0.280316i | ||||
\(453\) | 8.70982 | − | 10.9072i | 0.409223 | − | 0.512465i | ||||
\(454\) | −17.3063 | + | 36.0858i | −0.812226 | + | 1.69359i | ||||
\(455\) | −6.78426 | + | 5.69267i | −0.318051 | + | 0.266877i | ||||
\(456\) | −1.23691 | − | 0.342425i | −0.0579236 | − | 0.0160355i | ||||
\(457\) | −0.945828 | + | 0.344253i | −0.0442440 | + | 0.0161035i | −0.364047 | − | 0.931380i | \(-0.618605\pi\) |
0.319803 | + | 0.947484i | \(0.396383\pi\) | |||||||
\(458\) | 24.3203 | + | 17.4256i | 1.13641 | + | 0.814246i | ||||
\(459\) | 6.29940 | − | 4.27686i | 0.294031 | − | 0.199627i | ||||
\(460\) | 14.9697 | − | 5.08339i | 0.697966 | − | 0.237014i | ||||
\(461\) | 5.24236 | + | 14.4033i | 0.244161 | + | 0.670826i | 0.999873 | + | 0.0159227i | \(0.00506858\pi\) |
−0.755712 | + | 0.654904i | \(0.772709\pi\) | |||||||
\(462\) | −2.59225 | − | 0.191752i | −0.120602 | − | 0.00892112i | ||||
\(463\) | 6.18377 | + | 7.36953i | 0.287384 | + | 0.342491i | 0.890351 | − | 0.455275i | \(-0.150459\pi\) |
−0.602967 | + | 0.797766i | \(0.706015\pi\) | |||||||
\(464\) | −4.39746 | + | 4.80113i | −0.204147 | + | 0.222887i | ||||
\(465\) | −16.8179 | + | 6.58790i | −0.779911 | + | 0.305507i | ||||
\(466\) | 26.5824 | − | 6.81440i | 1.23140 | − | 0.315671i | ||||
\(467\) | −0.415843 | + | 0.720261i | −0.0192429 | + | 0.0333297i | −0.875487 | − | 0.483243i | \(-0.839459\pi\) |
0.856244 | + | 0.516572i | \(0.172792\pi\) | |||||||
\(468\) | 11.1008 | − | 33.2518i | 0.513134 | − | 1.53706i | ||||
\(469\) | −3.26264 | − | 5.65106i | −0.150655 | − | 0.260942i | ||||
\(470\) | 14.9295 | + | 15.2572i | 0.688648 | + | 0.703760i | ||||
\(471\) | 31.4078 | + | 10.5752i | 1.44719 | + | 0.487281i | ||||
\(472\) | 7.76645 | − | 10.3569i | 0.357480 | − | 0.476717i | ||||
\(473\) | 1.81361 | − | 4.98284i | 0.0833897 | − | 0.229111i | ||||
\(474\) | 10.0500 | + | 4.52310i | 0.461613 | + | 0.207753i | ||||
\(475\) | 0.697209 | + | 0.122937i | 0.0319902 | + | 0.00564073i | ||||
\(476\) | −1.93207 | + | 2.20360i | −0.0885562 | + | 0.101002i | ||||
\(477\) | 3.79608 | − | 2.44477i | 0.173811 | − | 0.111938i | ||||
\(478\) | 15.1402 | − | 6.86096i | 0.692498 | − | 0.313813i | ||||
\(479\) | −14.2069 | − | 11.9210i | −0.649131 | − | 0.544685i | 0.257676 | − | 0.966231i | \(-0.417043\pi\) |
−0.906807 | + | 0.421546i | \(0.861488\pi\) | |||||||
\(480\) | 14.7497 | + | 1.73734i | 0.673230 | + | 0.0792985i | ||||
\(481\) | 3.93481 | + | 22.3154i | 0.179412 | + | 1.01749i | ||||
\(482\) | −35.5492 | + | 2.72175i | −1.61922 | + | 0.123972i | ||||
\(483\) | −7.92961 | − | 4.32493i | −0.360810 | − | 0.196791i | ||||
\(484\) | 12.3623 | + | 15.3997i | 0.561925 | + | 0.699984i | ||||
\(485\) | 7.81832i | 0.355012i | ||||||||
\(486\) | 8.02039 | + | 20.5347i | 0.363812 | + | 0.931472i | ||||
\(487\) | − | 34.7942i | − | 1.57667i | −0.615244 | − | 0.788337i | \(-0.710942\pi\) | ||
0.615244 | − | 0.788337i | \(-0.289058\pi\) | |||||||
\(488\) | −2.15554 | − | 39.3613i | −0.0975768 | − | 1.78180i | ||||
\(489\) | 20.2565 | + | 11.0482i | 0.916032 | + | 0.499618i | ||||
\(490\) | 0.163646 | + | 2.13740i | 0.00739275 | + | 0.0965580i | ||||
\(491\) | −4.81720 | − | 27.3197i | −0.217397 | − | 1.23292i | −0.876698 | − | 0.481042i | \(-0.840259\pi\) |
0.659300 | − | 0.751880i | \(-0.270853\pi\) | |||||||
\(492\) | −1.70783 | − | 9.54177i | −0.0769951 | − | 0.430176i | ||||
\(493\) | 1.82706 | + | 1.53308i | 0.0822865 | + | 0.0690466i | ||||
\(494\) | 0.893483 | + | 1.97167i | 0.0401997 | + | 0.0887095i | ||||
\(495\) | 4.05700 | − | 2.61281i | 0.182348 | − | 0.117437i | ||||
\(496\) | −10.5253 | + | 25.4264i | −0.472601 | + | 1.14168i | ||||
\(497\) | −14.6827 | − | 2.58896i | −0.658610 | − | 0.116131i | ||||
\(498\) | 12.5948 | − | 27.9848i | 0.564387 | − | 1.25403i | ||||
\(499\) | −14.5828 | + | 40.0660i | −0.652817 | + | 1.79360i | −0.0457472 | + | 0.998953i | \(0.514567\pi\) |
−0.607070 | + | 0.794648i | \(0.707655\pi\) | |||||||
\(500\) | −23.3449 | − | 0.506791i | −1.04402 | − | 0.0226644i | ||||
\(501\) | −21.5102 | − | 7.24264i | −0.961005 | − | 0.323577i | ||||
\(502\) | 6.47453 | − | 6.33550i | 0.288972 | − | 0.282767i | ||||
\(503\) | 17.4375 | + | 30.2026i | 0.777499 | + | 1.34667i | 0.933379 | + | 0.358891i | \(0.116845\pi\) |
−0.155881 | + | 0.987776i | \(0.549822\pi\) | |||||||
\(504\) | −4.97758 | − | 6.87195i | −0.221719 | − | 0.306101i | ||||
\(505\) | 5.53864 | − | 9.59320i | 0.246466 | − | 0.426892i | ||||
\(506\) | −1.94337 | − | 7.58091i | −0.0863933 | − | 0.337012i | ||||
\(507\) | −34.0872 | + | 13.3526i | −1.51387 | + | 0.593011i | ||||
\(508\) | −14.5818 | − | 26.5720i | −0.646961 | − | 1.17894i | ||||
\(509\) | −24.1951 | − | 28.8346i | −1.07243 | − | 1.27807i | −0.958657 | − | 0.284564i | \(-0.908151\pi\) |
−0.113772 | − | 0.993507i | \(-0.536293\pi\) | |||||||
\(510\) | 0.401356 | − | 5.42582i | 0.0177724 | − | 0.240260i | ||||
\(511\) | −2.15219 | − | 5.91310i | −0.0952074 | − | 0.261580i | ||||
\(512\) | 17.4840 | − | 14.3634i | 0.772693 | − | 0.634780i | ||||
\(513\) | −1.22532 | − | 0.593035i | −0.0540992 | − | 0.0261831i | ||||
\(514\) | 3.28721 | − | 4.58784i | 0.144993 | − | 0.202361i | ||||
\(515\) | −10.1635 | + | 3.69922i | −0.447858 | + | 0.163007i | ||||
\(516\) | 16.2508 | − | 5.96226i | 0.715400 | − | 0.262474i | ||||
\(517\) | 8.09487 | − | 6.79240i | 0.356012 | − | 0.298730i | ||||
\(518\) | 4.94546 | + | 2.37178i | 0.217291 | + | 0.104210i | ||||
\(519\) | 21.4738 | − | 26.8914i | 0.942595 | − | 1.18040i | ||||
\(520\) | −13.6921 | − | 20.9759i | −0.600437 | − | 0.919855i | ||||
\(521\) | 4.99919 | + | 2.88628i | 0.219018 | + | 0.126450i | 0.605496 | − | 0.795849i | \(-0.292975\pi\) |
−0.386477 | + | 0.922299i | \(0.626308\pi\) | |||||||
\(522\) | −5.50336 | + | 4.17133i | −0.240876 | + | 0.182574i | ||||
\(523\) | 5.52545 | − | 3.19012i | 0.241611 | − | 0.139494i | −0.374306 | − | 0.927305i | \(-0.622119\pi\) |
0.615917 | + | 0.787811i | \(0.288786\pi\) | |||||||
\(524\) | −13.6452 | + | 2.10174i | −0.596091 | + | 0.0918151i | ||||
\(525\) | 3.09482 | + | 3.51147i | 0.135069 | + | 0.153253i | ||||
\(526\) | −18.2287 | − | 26.6441i | −0.794808 | − | 1.16174i | ||||
\(527\) | 9.47304 | + | 3.44790i | 0.412652 | + | 0.150193i | ||||
\(528\) | 1.41492 | − | 7.21457i | 0.0615764 | − | 0.313974i | ||||
\(529\) | 0.728386 | − | 4.13088i | 0.0316690 | − | 0.179604i | ||||
\(530\) | 0.316060 | − | 3.21084i | 0.0137288 | − | 0.139470i | ||||
\(531\) | 10.0775 | − | 9.32614i | 0.437325 | − | 0.404720i | ||||
\(532\) | 0.513903 | + | 0.102162i | 0.0222805 | + | 0.00442930i | ||||
\(533\) | −10.5090 | + | 12.5241i | −0.455195 | + | 0.542480i | ||||
\(534\) | −34.2711 | + | 9.67803i | −1.48306 | + | 0.418809i | ||||
\(535\) | −8.64169 | + | 1.52376i | −0.373613 | + | 0.0658780i | ||||
\(536\) | 16.9721 | − | 7.25133i | 0.733084 | − | 0.313210i | ||||
\(537\) | −1.80706 | + | 0.0438880i | −0.0779805 | + | 0.00189391i | ||||
\(538\) | −5.61696 | + | 20.0882i | −0.242164 | + | 0.866062i | ||||
\(539\) | 1.06117 | 0.0457079 | ||||||||
\(540\) | 15.0587 | + | 4.62397i | 0.648022 | + | 0.198984i | ||||
\(541\) | 12.1996 | 0.524502 | 0.262251 | − | 0.965000i | \(-0.415535\pi\) | ||||
0.262251 | + | 0.965000i | \(0.415535\pi\) | |||||||
\(542\) | −4.25843 | + | 15.2296i | −0.182915 | + | 0.654167i | ||||
\(543\) | 14.1764 | + | 23.2327i | 0.608370 | + | 0.997011i | ||||
\(544\) | −5.53478 | − | 6.17058i | −0.237302 | − | 0.264561i | ||||
\(545\) | 14.8147 | − | 2.61224i | 0.634593 | − | 0.111896i | ||||
\(546\) | −3.51810 | + | 13.8723i | −0.150561 | + | 0.593680i | ||||
\(547\) | −28.6863 | + | 34.1870i | −1.22654 | + | 1.46173i | −0.383792 | + | 0.923420i | \(0.625382\pi\) |
−0.842746 | + | 0.538311i | \(0.819063\pi\) | |||||||
\(548\) | 0.666004 | − | 3.35017i | 0.0284503 | − | 0.143112i | ||||
\(549\) | 5.25302 | − | 41.4802i | 0.224193 | − | 1.77033i | ||||
\(550\) | −0.397284 | + | 4.03599i | −0.0169403 | + | 0.172095i | ||||
\(551\) | 0.0740460 | − | 0.419936i | 0.00315447 | − | 0.0178899i | ||||
\(552\) | 14.8261 | − | 20.8052i | 0.631040 | − | 0.885530i | ||||
\(553\) | −4.22794 | − | 1.53885i | −0.179790 | − | 0.0654384i | ||||
\(554\) | 5.28714 | + | 7.72799i | 0.224629 | + | 0.328331i | ||||
\(555\) | −9.98173 | + | 2.01109i | −0.423701 | + | 0.0853658i | ||||
\(556\) | −1.29495 | − | 8.40718i | −0.0549179 | − | 0.356544i | ||||
\(557\) | 31.8539 | − | 18.3909i | 1.34969 | − | 0.779246i | 0.361488 | − | 0.932377i | \(-0.382269\pi\) |
0.988206 | + | 0.153131i | \(0.0489355\pi\) | |||||||
\(558\) | −15.8282 | + | 24.5237i | −0.670062 | + | 1.03817i | ||||
\(559\) | −25.2840 | − | 14.5977i | −1.06940 | − | 0.617417i | ||||
\(560\) | −6.05747 | − | 0.263125i | −0.255975 | − | 0.0111191i | ||||
\(561\) | −2.66293 | − | 0.403146i | −0.112429 | − | 0.0170208i | ||||
\(562\) | −7.39297 | − | 3.54558i | −0.311854 | − | 0.149561i | ||||
\(563\) | 2.98705 | − | 2.50643i | 0.125889 | − | 0.105633i | −0.577670 | − | 0.816271i | \(-0.696038\pi\) |
0.703559 | + | 0.710637i | \(0.251593\pi\) | |||||||
\(564\) | 33.9867 | + | 5.90251i | 1.43110 | + | 0.248540i | ||||
\(565\) | 11.7140 | − | 4.26353i | 0.492810 | − | 0.179368i | ||||
\(566\) | −7.20151 | + | 10.0509i | −0.302702 | + | 0.422470i | ||||
\(567\) | −3.88382 | − | 8.11886i | −0.163105 | − | 0.340960i | ||||
\(568\) | 12.2345 | − | 40.3559i | 0.513347 | − | 1.69329i | ||||
\(569\) | 13.7805 | + | 37.8615i | 0.577707 | + | 1.58724i | 0.792035 | + | 0.610476i | \(0.209022\pi\) |
−0.214327 | + | 0.976762i | \(0.568756\pi\) | |||||||
\(570\) | −0.875976 | + | 0.422887i | −0.0366906 | + | 0.0177128i | ||||
\(571\) | 2.37201 | + | 2.82685i | 0.0992656 | + | 0.118300i | 0.813390 | − | 0.581718i | \(-0.197619\pi\) |
−0.714125 | + | 0.700019i | \(0.753175\pi\) | |||||||
\(572\) | −10.8708 | + | 5.96550i | −0.454531 | + | 0.249430i | ||||
\(573\) | −5.12554 | + | 33.8561i | −0.214123 | + | 1.41436i | ||||
\(574\) | 0.982684 | + | 3.83336i | 0.0410165 | + | 0.160001i | ||||
\(575\) | −7.04621 | + | 12.2044i | −0.293847 | + | 0.508958i | ||||
\(576\) | 20.9804 | − | 11.6543i | 0.874182 | − | 0.485598i | ||||
\(577\) | −2.85687 | − | 4.94824i | −0.118933 | − | 0.205998i | 0.800412 | − | 0.599450i | \(-0.204614\pi\) |
−0.919345 | + | 0.393452i | \(0.871281\pi\) | |||||||
\(578\) | 15.0131 | − | 14.6908i | 0.624464 | − | 0.611055i | ||||
\(579\) | 8.18497 | + | 40.6249i | 0.340156 | + | 1.68831i | ||||
\(580\) | −0.107095 | + | 4.93324i | −0.00444687 | + | 0.204842i | ||||
\(581\) | −4.28500 | + | 11.7729i | −0.177772 | + | 0.488423i | ||||
\(582\) | 7.38503 | + | 10.2511i | 0.306119 | + | 0.424922i | ||||
\(583\) | −1.57287 | − | 0.277340i | −0.0651417 | − | 0.0114862i | ||||
\(584\) | 17.3325 | − | 4.04442i | 0.717224 | − | 0.167359i | ||||
\(585\) | −10.2883 | − | 24.4958i | −0.425369 | − | 1.01278i | ||||
\(586\) | 4.25640 | + | 9.39269i | 0.175830 | + | 0.388008i | ||||
\(587\) | 2.21774 | + | 1.86091i | 0.0915361 | + | 0.0768079i | 0.687407 | − | 0.726272i | \(-0.258749\pi\) |
−0.595871 | + | 0.803080i | \(0.703193\pi\) | |||||||
\(588\) | 2.23351 | + | 2.64791i | 0.0921085 | + | 0.109198i | ||||
\(589\) | −0.312973 | − | 1.77496i | −0.0128958 | − | 0.0731359i | ||||
\(590\) | −0.748990 | − | 9.78268i | −0.0308354 | − | 0.402747i | ||||
\(591\) | −10.3953 | + | 6.34313i | −0.427605 | + | 0.260922i | ||||
\(592\) | −8.33239 | + | 13.0857i | −0.342459 | + | 0.537817i | ||||
\(593\) | 23.5204i | 0.965868i | 0.875657 | + | 0.482934i | \(0.160429\pi\) | ||||
−0.875657 | + | 0.482934i | \(0.839571\pi\) | |||||||
\(594\) | 2.85139 | − | 7.25797i | 0.116994 | − | 0.297798i | ||||
\(595\) | 2.22114i | 0.0910577i | ||||||||
\(596\) | −19.1961 | + | 15.4100i | −0.786303 | + | 0.631219i | ||||
\(597\) | 0.913905 | + | 37.6295i | 0.0374036 | + | 1.54007i | ||||
\(598\) | −42.9631 | + | 3.28938i | −1.75689 | + | 0.134513i | ||||
\(599\) | 3.45493 | + | 19.5939i | 0.141165 | + | 0.800584i | 0.970367 | + | 0.241636i | \(0.0776838\pi\) |
−0.829203 | + | 0.558948i | \(0.811205\pi\) | |||||||
\(600\) | −10.9071 | + | 7.50347i | −0.445280 | + | 0.306328i | ||||
\(601\) | −21.2063 | − | 17.7942i | −0.865023 | − | 0.725841i | 0.0980210 | − | 0.995184i | \(-0.468749\pi\) |
−0.963044 | + | 0.269344i | \(0.913193\pi\) | |||||||
\(602\) | −6.43670 | + | 2.91686i | −0.262340 | + | 0.118883i | ||||
\(603\) | 19.0907 | − | 4.33118i | 0.777434 | − | 0.176379i | ||||
\(604\) | −12.1189 | − | 10.6256i | −0.493110 | − | 0.432349i | ||||
\(605\) | 14.7395 | + | 2.59896i | 0.599244 | + | 0.105663i | ||||
\(606\) | −1.79948 | − | 17.8099i | −0.0730987 | − | 0.723480i | ||||
\(607\) | −7.39905 | + | 20.3287i | −0.300318 | + | 0.825117i | 0.694126 | + | 0.719853i | \(0.255791\pi\) |
−0.994444 | + | 0.105264i | \(0.966431\pi\) | |||||||
\(608\) | −0.460640 | + | 1.40857i | −0.0186814 | + | 0.0571252i | ||||
\(609\) | 2.11499 | − | 1.86404i | 0.0857037 | − | 0.0755348i | ||||
\(610\) | −20.8954 | − | 21.3539i | −0.846029 | − | 0.864595i | ||||
\(611\) | −29.0903 | − | 50.3859i | −1.17687 | − | 2.03840i | ||||
\(612\) | −4.59888 | − | 7.49326i | −0.185899 | − | 0.302897i | ||||
\(613\) | 22.5179 | − | 39.0022i | 0.909491 | − | 1.57528i | 0.0947180 | − | 0.995504i | \(-0.469805\pi\) |
0.814773 | − | 0.579780i | \(-0.196862\pi\) | |||||||
\(614\) | −28.7131 | + | 7.36063i | −1.15877 | + | 0.297051i | ||||
\(615\) | −5.74082 | − | 4.58427i | −0.231492 | − | 0.184856i | ||||
\(616\) | −0.358787 | + | 2.97992i | −0.0144559 | + | 0.120065i | ||||
\(617\) | −21.9151 | − | 26.1174i | −0.882268 | − | 1.05145i | −0.998305 | − | 0.0582007i | \(-0.981464\pi\) |
0.116037 | − | 0.993245i | \(-0.462981\pi\) | |||||||
\(618\) | −9.83184 | + | 14.4505i | −0.395495 | + | 0.581286i | ||||
\(619\) | 4.39801 | + | 12.0834i | 0.176771 | + | 0.485675i | 0.996159 | − | 0.0875651i | \(-0.0279086\pi\) |
−0.819388 | + | 0.573240i | \(0.805686\pi\) | |||||||
\(620\) | 6.70627 | + | 19.7488i | 0.269330 | + | 0.793131i | ||||
\(621\) | 19.4349 | − | 18.8823i | 0.779894 | − | 0.757720i | ||||
\(622\) | 17.8537 | + | 12.7923i | 0.715867 | + | 0.512923i | ||||
\(623\) | 13.6615 | − | 4.97240i | 0.547338 | − | 0.199215i | ||||
\(624\) | −37.7660 | − | 14.5696i | −1.51185 | − | 0.583252i | ||||
\(625\) | −3.20620 | + | 2.69032i | −0.128248 | + | 0.107613i | ||||
\(626\) | 7.36573 | − | 15.3584i | 0.294394 | − | 0.613847i | ||||
\(627\) | 0.175627 | + | 0.448348i | 0.00701386 | + | 0.0179053i | ||||
\(628\) | 13.8655 | − | 35.6669i | 0.553295 | − | 1.42326i | ||||
\(629\) | 4.92164 | + | 2.84151i | 0.196239 | + | 0.113298i | ||||
\(630\) | −6.27018 | − | 1.42907i | −0.249810 | − | 0.0569356i | ||||
\(631\) | −28.3751 | + | 16.3823i | −1.12959 | + | 0.652171i | −0.943833 | − | 0.330424i | \(-0.892808\pi\) |
−0.185761 | + | 0.982595i | \(0.559475\pi\) | |||||||
\(632\) | 5.75079 | − | 11.3524i | 0.228754 | − | 0.451574i | ||||
\(633\) | −5.80845 | + | 17.2508i | −0.230865 | + | 0.685656i | ||||
\(634\) | −6.92066 | + | 4.73481i | −0.274855 | + | 0.188043i | ||||
\(635\) | −21.5866 | − | 7.85687i | −0.856636 | − | 0.311790i | ||||
\(636\) | −2.61848 | − | 4.50848i | −0.103830 | − | 0.178773i | ||||
\(637\) | 1.01456 | − | 5.75387i | 0.0401984 | − | 0.227976i | ||||
\(638\) | 2.43092 | + | 0.239288i | 0.0962410 | + | 0.00947350i | ||||
\(639\) | 20.4570 | − | 39.7753i | 0.809268 | − | 1.57349i | ||||
\(640\) | 2.78695 | − | 16.9213i | 0.110164 | − | 0.668873i | ||||
\(641\) | −8.71617 | + | 10.3875i | −0.344268 | + | 0.410283i | −0.910200 | − | 0.414169i | \(-0.864072\pi\) |
0.565932 | + | 0.824452i | \(0.308517\pi\) | |||||||
\(642\) | −9.89136 | + | 10.1607i | −0.390381 | + | 0.401009i | ||||
\(643\) | 15.8705 | − | 2.79839i | 0.625870 | − | 0.110358i | 0.148287 | − | 0.988944i | \(-0.452624\pi\) |
0.477583 | + | 0.878587i | \(0.341513\pi\) | |||||||
\(644\) | −5.40965 | + | 8.91707i | −0.213170 | + | 0.351382i | ||||
\(645\) | 6.28181 | − | 11.5175i | 0.247346 | − | 0.453500i | ||||
\(646\) | 0.522842 | + | 0.146195i | 0.0205710 | + | 0.00575196i | ||||
\(647\) | −47.2362 | −1.85705 | −0.928523 | − | 0.371274i | \(-0.878921\pi\) | ||||
−0.928523 | + | 0.371274i | \(0.878921\pi\) | |||||||
\(648\) | 24.1121 | − | 8.16131i | 0.947212 | − | 0.320607i | ||||
\(649\) | −4.85688 | −0.190649 | ||||||||
\(650\) | 21.5041 | + | 6.01287i | 0.843459 | + | 0.235844i | ||||
\(651\) | 5.70567 | − | 10.4612i | 0.223623 | − | 0.410005i | ||||
\(652\) | 13.8192 | − | 22.7790i | 0.541201 | − | 0.892096i | ||||
\(653\) | 46.1267 | − | 8.13338i | 1.80508 | − | 0.318284i | 0.833058 | − | 0.553186i | \(-0.186588\pi\) |
0.972019 | + | 0.234902i | \(0.0754769\pi\) | |||||||
\(654\) | 16.9571 | − | 17.4187i | 0.663074 | − | 0.681127i | ||||
\(655\) | −6.72586 | + | 8.01557i | −0.262801 | + | 0.313194i | ||||
\(656\) | −11.0969 | + | 1.46344i | −0.433261 | + | 0.0571379i | ||||
\(657\) | 18.8555 | − | 0.916426i | 0.735623 | − | 0.0357532i | ||||
\(658\) | −14.0150 | − | 1.37957i | −0.546360 | − | 0.0537811i | ||||
\(659\) | 2.34027 | − | 13.2724i | 0.0911641 | − | 0.517017i | −0.904691 | − | 0.426068i | \(-0.859899\pi\) |
0.995855 | − | 0.0909499i | \(-0.0289903\pi\) | |||||||
\(660\) | −2.79846 | − | 4.81836i | −0.108930 | − | 0.187554i | ||||
\(661\) | −10.5108 | − | 3.82561i | −0.408822 | − | 0.148799i | 0.129419 | − | 0.991590i | \(-0.458689\pi\) |
−0.538241 | + | 0.842791i | \(0.680911\pi\) | |||||||
\(662\) | −17.2350 | + | 11.7914i | −0.669856 | + | 0.458285i | ||||
\(663\) | −4.73190 | + | 14.0535i | −0.183772 | + | 0.545791i | ||||
\(664\) | −31.6113 | − | 16.0134i | −1.22676 | − | 0.621440i | ||||
\(665\) | 0.343905 | − | 0.198554i | 0.0133361 | − | 0.00769959i | ||||
\(666\) | −11.1881 | + | 12.0654i | −0.433528 | + | 0.467524i | ||||
\(667\) | 7.35082 | + | 4.24400i | 0.284625 | + | 0.164328i | ||||
\(668\) | −9.49606 | + | 24.4271i | −0.367414 | + | 0.945114i | ||||
\(669\) | 11.7467 | + | 29.9876i | 0.454155 | + | 1.15939i | ||||
\(670\) | 6.04881 | − | 12.6125i | 0.233686 | − | 0.487264i | ||||
\(671\) | −11.3296 | + | 9.50665i | −0.437374 | + | 0.367000i | ||||
\(672\) | −8.19088 | + | 5.37676i | −0.315970 | + | 0.207413i | ||||
\(673\) | 7.98798 | − | 2.90739i | 0.307914 | − | 0.112072i | −0.183441 | − | 0.983031i | \(-0.558724\pi\) |
0.491356 | + | 0.870959i | \(0.336502\pi\) | |||||||
\(674\) | −17.7422 | − | 12.7124i | −0.683404 | − | 0.489663i | ||||
\(675\) | −12.8105 | + | 5.75024i | −0.493078 | + | 0.221327i | ||||
\(676\) | 13.5925 | + | 40.0277i | 0.522790 | + | 1.53953i | ||||
\(677\) | −17.3960 | − | 47.7950i | −0.668581 | − | 1.83691i | −0.532941 | − | 0.846152i | \(-0.678913\pi\) |
−0.135640 | − | 0.990758i | \(-0.543309\pi\) | |||||||
\(678\) | 11.3317 | − | 16.6550i | 0.435191 | − | 0.639630i | ||||
\(679\) | −3.31544 | − | 3.95118i | −0.127235 | − | 0.151632i | ||||
\(680\) | −6.23727 | − | 0.750976i | −0.239188 | − | 0.0287986i | ||||
\(681\) | 38.3021 | + | 30.5858i | 1.46774 | + | 1.17205i | ||||
\(682\) | 10.0011 | − | 2.56379i | 0.382963 | − | 0.0981727i | ||||
\(683\) | 2.31953 | − | 4.01755i | 0.0887544 | − | 0.153727i | −0.818230 | − | 0.574890i | \(-0.805045\pi\) |
0.906985 | + | 0.421163i | \(0.138378\pi\) | |||||||
\(684\) | −0.749098 | + | 1.38190i | −0.0286425 | + | 0.0528384i | ||||
\(685\) | −1.29439 | − | 2.24195i | −0.0494560 | − | 0.0856603i | ||||
\(686\) | −0.989089 | − | 1.01079i | −0.0377636 | − | 0.0385923i | ||||
\(687\) | 27.4898 | − | 24.2281i | 1.04880 | − | 0.924360i | ||||
\(688\) | −6.01470 | − | 19.0614i | −0.229308 | − | 0.726710i | ||||
\(689\) | −3.00758 | + | 8.26325i | −0.114580 | + | 0.314805i | ||||
\(690\) | −1.94641 | − | 19.2642i | −0.0740987 | − | 0.733377i | ||||
\(691\) | 11.9899 | + | 2.11415i | 0.456118 | + | 0.0804260i | 0.396987 | − | 0.917824i | \(-0.370056\pi\) |
0.0591314 | + | 0.998250i | \(0.481167\pi\) | |||||||
\(692\) | −29.8787 | − | 26.1971i | −1.13582 | − | 0.995863i | ||||
\(693\) | −0.942318 | + | 3.04085i | −0.0357957 | + | 0.115512i | ||||
\(694\) | −18.5546 | + | 8.40822i | −0.704323 | + | 0.319172i | ||||
\(695\) | −4.93863 | − | 4.14400i | −0.187333 | − | 0.157191i | ||||
\(696\) | 4.51941 | + | 6.56944i | 0.171308 | + | 0.249014i | ||||
\(697\) | 0.712017 | + | 4.03805i | 0.0269696 | + | 0.152952i | ||||
\(698\) | 23.4612 | − | 1.79626i | 0.888020 | − | 0.0679893i | ||||
\(699\) | −0.816027 | − | 33.5994i | −0.0308650 | − | 1.27085i | ||||
\(700\) | 4.21469 | − | 3.38342i | 0.159300 | − | 0.127881i | ||||
\(701\) | 44.1768i | 1.66853i | 0.551360 | + | 0.834267i | \(0.314109\pi\) | ||||
−0.551360 | + | 0.834267i | \(0.685891\pi\) | |||||||
\(702\) | −36.6279 | − | 22.3999i | −1.38243 | − | 0.845431i | ||||
\(703\) | − | 1.01604i | − | 0.0383208i | ||||||
\(704\) | −8.24675 | − | 2.01505i | −0.310811 | − | 0.0759451i | ||||
\(705\) | 22.3173 | − | 13.6179i | 0.840518 | − | 0.512878i | ||||
\(706\) | −0.499322 | − | 6.52172i | −0.0187922 | − | 0.245448i | ||||
\(707\) | 1.26900 | + | 7.19688i | 0.0477258 | + | 0.270666i | ||||
\(708\) | −10.2226 | − | 12.1192i | −0.384187 | − | 0.455468i | ||||
\(709\) | −14.2350 | − | 11.9446i | −0.534608 | − | 0.448590i | 0.335081 | − | 0.942189i | \(-0.391236\pi\) |
−0.869689 | + | 0.493600i | \(0.835681\pi\) | |||||||
\(710\) | −13.1918 | − | 29.1107i | −0.495081 | − | 1.09251i | ||||
\(711\) | 8.16407 | − | 10.7490i | 0.306176 | − | 0.403117i | ||||
\(712\) | 9.34418 | + | 40.0448i | 0.350188 | + | 1.50074i | ||||
\(713\) | 35.3315 | + | 6.22989i | 1.32317 | + | 0.233311i | ||||
\(714\) | 2.09804 | + | 2.91227i | 0.0785171 | + | 0.108989i | ||||
\(715\) | −3.21430 | + | 8.83121i | −0.120208 | + | 0.330268i | ||||
\(716\) | −0.0453007 | + | 2.08674i | −0.00169297 | + | 0.0779852i | ||||
\(717\) | −4.02087 | − | 19.9570i | −0.150162 | − | 0.745308i | ||||
\(718\) | −8.90227 | + | 8.71111i | −0.332230 | + | 0.325096i | ||||
\(719\) | −22.8331 | − | 39.5480i | −0.851529 | − | 1.47489i | −0.879828 | − | 0.475292i | \(-0.842342\pi\) |
0.0282988 | − | 0.999600i | \(-0.490991\pi\) | |||||||
\(720\) | 6.13302 | − | 17.1244i | 0.228564 | − | 0.638189i | ||||
\(721\) | 3.56770 | − | 6.17943i | 0.132868 | − | 0.230134i | ||||
\(722\) | 6.64830 | + | 25.9344i | 0.247424 | + | 0.965179i | ||||
\(723\) | −6.53621 | + | 43.1742i | −0.243084 | + | 1.60566i | ||||
\(724\) | 27.5510 | − | 15.1190i | 1.02392 | − | 0.561892i | ||||
\(725\) | −2.82732 | − | 3.36947i | −0.105004 | − | 0.125139i | ||||
\(726\) | 21.7808 | − | 10.5149i | 0.808360 | − | 0.390245i | ||||
\(727\) | −15.8508 | − | 43.5497i | −0.587874 | − | 1.61517i | −0.774383 | − | 0.632717i | \(-0.781940\pi\) |
0.186510 | − | 0.982453i | \(-0.440282\pi\) | |||||||
\(728\) | 15.8147 | + | 4.79445i | 0.586131 | + | 0.177694i | ||||
\(729\) | 26.7139 | − | 3.91981i | 0.989406 | − | 0.145178i | ||||
\(730\) | 7.85652 | − | 10.9651i | 0.290783 | − | 0.405835i | ||||
\(731\) | −6.88060 | + | 2.50433i | −0.254488 | + | 0.0926261i | ||||
\(732\) | −47.5677 | − | 8.26115i | −1.75815 | − | 0.305341i | ||||
\(733\) | −5.70720 | + | 4.78891i | −0.210800 | + | 0.176882i | −0.742074 | − | 0.670318i | \(-0.766158\pi\) |
0.531274 | + | 0.847200i | \(0.321713\pi\) | |||||||
\(734\) | 16.0451 | + | 7.69503i | 0.592235 | + | 0.284029i | ||||
\(735\) | 2.59585 | + | 0.392991i | 0.0957496 | + | 0.0144957i | ||||
\(736\) | −23.2114 | − | 18.2060i | −0.855584 | − | 0.671082i | ||||
\(737\) | −5.99675 | − | 3.46222i | −0.220893 | − | 0.127533i | ||||
\(738\) | −11.8574 | − | 0.588071i | −0.436476 | − | 0.0216472i | ||||
\(739\) | 30.2569 | − | 17.4688i | 1.11302 | − | 0.642602i | 0.173409 | − | 0.984850i | \(-0.444522\pi\) |
0.939610 | + | 0.342248i | \(0.111188\pi\) | |||||||
\(740\) | 1.78988 | + | 11.6205i | 0.0657975 | + | 0.427177i | ||||
\(741\) | 2.59894 | − | 0.523626i | 0.0954745 | − | 0.0192359i | ||||
\(742\) | 1.20186 | + | 1.75670i | 0.0441216 | + | 0.0644906i | ||||
\(743\) | 10.7677 | + | 3.91912i | 0.395029 | + | 0.143779i | 0.531894 | − | 0.846811i | \(-0.321481\pi\) |
−0.136865 | + | 0.990590i | \(0.543703\pi\) | |||||||
\(744\) | 27.4473 | + | 19.5593i | 1.00627 | + | 0.717080i | ||||
\(745\) | −3.23968 | + | 18.3732i | −0.118693 | + | 0.673140i | ||||
\(746\) | −1.20885 | + | 12.2807i | −0.0442592 | + | 0.449628i | ||||
\(747\) | −29.9310 | − | 22.7333i | −1.09512 | − | 0.831767i | ||||
\(748\) | −0.606377 | + | 3.05024i | −0.0221713 | + | 0.111528i | ||||
\(749\) | 3.72112 | − | 4.43466i | 0.135967 | − | 0.162039i | ||||
\(750\) | −7.03016 | + | 27.7207i | −0.256705 | + | 1.01222i | ||||
\(751\) | 46.3141 | − | 8.16643i | 1.69003 | − | 0.297997i | 0.755833 | − | 0.654764i | \(-0.227232\pi\) |
0.934193 | + | 0.356767i | \(0.116121\pi\) | |||||||
\(752\) | 8.61254 | − | 38.8896i | 0.314067 | − | 1.41816i | ||||
\(753\) | −5.77888 | − | 9.47057i | −0.210594 | − | 0.345127i | ||||
\(754\) | 3.62161 | − | 12.9521i | 0.131891 | − | 0.471688i | ||||
\(755\) | −12.2153 | −0.444561 | ||||||||
\(756\) | −9.57111 | + | 4.04893i | −0.348098 | + | 0.147258i | ||||
\(757\) | −42.8616 | −1.55783 | −0.778915 | − | 0.627130i | \(-0.784230\pi\) | ||||
−0.778915 | + | 0.627130i | \(0.784230\pi\) | |||||||
\(758\) | −2.56606 | + | 9.17709i | −0.0932034 | + | 0.333327i | ||||
\(759\) | −9.58207 | + | 0.232719i | −0.347807 | + | 0.00844717i | ||||
\(760\) | 0.441292 | + | 1.03287i | 0.0160074 | + | 0.0374661i | ||||
\(761\) | 20.5513 | − | 3.62375i | 0.744984 | − | 0.131361i | 0.211744 | − | 0.977325i | \(-0.432086\pi\) |
0.533240 | + | 0.845964i | \(0.320974\pi\) | |||||||
\(762\) | −35.7250 | + | 10.0886i | −1.29418 | + | 0.365470i | ||||
\(763\) | −6.37924 | + | 7.60248i | −0.230944 | + | 0.275228i | ||||
\(764\) | 38.7803 | + | 7.70940i | 1.40302 | + | 0.278916i | ||||
\(765\) | −6.36481 | − | 1.97236i | −0.230120 | − | 0.0713109i | ||||
\(766\) | 2.54185 | − | 25.8225i | 0.0918407 | − | 0.933006i | ||||
\(767\) | −4.64355 | + | 26.3349i | −0.167669 | + | 0.950897i | ||||
\(768\) | −12.3293 | − | 24.8191i | −0.444897 | − | 0.895582i | ||||
\(769\) | 6.72911 | + | 2.44919i | 0.242658 | + | 0.0883202i | 0.460486 | − | 0.887667i | \(-0.347675\pi\) |
−0.217828 | + | 0.975987i | \(0.569897\pi\) | |||||||
\(770\) | 1.28447 | + | 1.87745i | 0.0462889 | + | 0.0676585i | ||||
\(771\) | −4.57045 | − | 5.18575i | −0.164601 | − | 0.186760i | ||||
\(772\) | 47.2945 | − | 7.28470i | 1.70217 | − | 0.262182i | ||||
\(773\) | 21.8279 | − | 12.6023i | 0.785095 | − | 0.453275i | −0.0531381 | − | 0.998587i | \(-0.516922\pi\) |
0.838233 | + | 0.545313i | \(0.183589\pi\) | |||||||
\(774\) | −2.64268 | − | 21.0350i | −0.0949893 | − | 0.756086i | ||||
\(775\) | −16.1007 | − | 9.29572i | −0.578353 | − | 0.333912i | ||||
\(776\) | 12.2165 | − | 7.97432i | 0.438546 | − | 0.286261i | ||||
\(777\) | 4.19169 | − | 5.24920i | 0.150376 | − | 0.188314i | ||||
\(778\) | 49.8546 | + | 23.9097i | 1.78737 | + | 0.857203i | ||||
\(779\) | 0.561574 | − | 0.471217i | 0.0201205 | − | 0.0168831i | ||||
\(780\) | −28.8016 | + | 10.5670i | −1.03126 | + | 0.378361i | ||||
\(781\) | −14.8671 | + | 5.41118i | −0.531986 | + | 0.193627i | ||||
\(782\) | −6.29414 | + | 8.78450i | −0.225078 | + | 0.314133i | ||||
\(783\) | 3.46343 | + | 7.71591i | 0.123773 | + | 0.275744i | ||||
\(784\) | 3.17287 | − | 2.43575i | 0.113317 | − | 0.0869911i | ||||
\(785\) | −9.91948 | − | 27.2536i | −0.354042 | − | 0.972721i | ||||
\(786\) | −1.24737 | + | 16.8628i | −0.0444922 | + | 0.601478i | ||||
\(787\) | 29.3734 | + | 35.0058i | 1.04705 | + | 1.24782i | 0.968000 | + | 0.250951i | \(0.0807433\pi\) |
0.0790471 | + | 0.996871i | \(0.474812\pi\) | |||||||
\(788\) | 6.76486 | + | 12.3275i | 0.240988 | + | 0.439148i | ||||
\(789\) | −36.8147 | + | 14.4210i | −1.31064 | + | 0.513402i | ||||
\(790\) | −2.39504 | − | 9.34283i | −0.0852117 | − | 0.332403i | ||||
\(791\) | −4.11195 | + | 7.12210i | −0.146204 | + | 0.253233i | ||||
\(792\) | −8.22056 | − | 3.67429i | −0.292105 | − | 0.130560i | ||||
\(793\) | 40.7149 | + | 70.5202i | 1.44583 | + | 2.50425i | ||||
\(794\) | −10.4002 | + | 10.1769i | −0.369091 | + | 0.361165i | ||||
\(795\) | −3.74488 | − | 1.26093i | −0.132817 | − | 0.0447205i | ||||
\(796\) | 43.4533 | + | 0.943321i | 1.54016 | + | 0.0334351i | ||||
\(797\) | 14.3999 | − | 39.5635i | 0.510072 | − | 1.40141i | −0.371089 | − | 0.928597i | \(-0.621016\pi\) |
0.881162 | − | 0.472815i | \(-0.156762\pi\) | |||||||
\(798\) | 0.263367 | − | 0.585182i | 0.00932308 | − | 0.0207152i | ||||
\(799\) | −14.3700 | − | 2.53382i | −0.508374 | − | 0.0896400i | ||||
\(800\) | 8.07612 | + | 12.9794i | 0.285534 | + | 0.458891i | ||||
\(801\) | 2.11730 | + | 43.5635i | 0.0748111 | + | 1.53924i | ||||
\(802\) | −8.41160 | − | 18.5621i | −0.297024 | − | 0.655449i | ||||
\(803\) | −5.11527 | − | 4.29222i | −0.180514 | − | 0.151469i | ||||
\(804\) | −3.98254 | − | 22.2507i | −0.140453 | − | 0.784720i | ||||
\(805\) | 1.37263 | + | 7.78455i | 0.0483787 | + | 0.274369i | ||||
\(806\) | −4.33951 | − | 56.6791i | −0.152853 | − | 1.99644i | ||||
\(807\) | 22.4276 | + | 12.2323i | 0.789488 | + | 0.430599i | ||||
\(808\) | −20.6389 | + | 1.13025i | −0.726075 | + | 0.0397620i | ||||
\(809\) | − | 10.9139i | − | 0.383712i | −0.981423 | − | 0.191856i | \(-0.938549\pi\) | ||
0.981423 | − | 0.191856i | \(-0.0614506\pi\) | |||||||
\(810\) | 9.66301 | − | 16.6986i | 0.339523 | − | 0.586729i | ||||
\(811\) | 19.2997i | 0.677706i | 0.940839 | + | 0.338853i | \(0.110039\pi\) | ||||
−0.940839 | + | 0.338853i | \(0.889961\pi\) | |||||||
\(812\) | −2.03786 | − | 2.53855i | −0.0715150 | − | 0.0890856i | ||||
\(813\) | 17.0032 | + | 9.27380i | 0.596328 | + | 0.325246i | ||||
\(814\) | 5.80331 | − | 0.444318i | 0.203406 | − | 0.0155733i | ||||
\(815\) | −3.50643 | − | 19.8860i | −0.122825 | − | 0.696575i | ||||
\(816\) | −8.88744 | + | 4.90694i | −0.311123 | + | 0.171777i | ||||
\(817\) | 1.00283 | + | 0.841475i | 0.0350846 | + | 0.0294395i | ||||
\(818\) | 6.39388 | − | 2.89746i | 0.223557 | − | 0.101307i | ||||
\(819\) | 15.5871 | + | 8.01671i | 0.544659 | + | 0.280127i | ||||
\(820\) | −5.59261 | + | 6.37857i | −0.195302 | + | 0.222749i | ||||
\(821\) | −39.6009 | − | 6.98271i | −1.38208 | − | 0.243698i | −0.567321 | − | 0.823497i | \(-0.692020\pi\) |
−0.814760 | + | 0.579799i | \(0.803131\pi\) | |||||||
\(822\) | −3.81485 | − | 1.71691i | −0.133058 | − | 0.0598840i | ||||
\(823\) | 1.52985 | − | 4.20323i | 0.0533273 | − | 0.146516i | −0.910169 | − | 0.414237i | \(-0.864048\pi\) |
0.963496 | + | 0.267721i | \(0.0862707\pi\) | |||||||
\(824\) | 16.1465 | + | 12.1079i | 0.562490 | + | 0.421799i | ||||
\(825\) | 4.70728 | + | 1.58497i | 0.163886 | + | 0.0551817i | ||||
\(826\) | 4.52696 | + | 4.62630i | 0.157513 | + | 0.160970i | ||||
\(827\) | −7.46179 | − | 12.9242i | −0.259472 | − | 0.449419i | 0.706629 | − | 0.707585i | \(-0.250215\pi\) |
−0.966101 | + | 0.258166i | \(0.916882\pi\) | |||||||
\(828\) | −20.7487 | − | 23.4200i | −0.721066 | − | 0.813903i | ||||
\(829\) | 7.35168 | − | 12.7335i | 0.255335 | − | 0.442252i | −0.709652 | − | 0.704553i | \(-0.751148\pi\) |
0.964986 | + | 0.262300i | \(0.0844811\pi\) | |||||||
\(830\) | −26.0156 | + | 6.66911i | −0.903014 | + | 0.231488i | ||||
\(831\) | 10.6779 | − | 4.18276i | 0.370413 | − | 0.145098i | ||||
\(832\) | −18.8105 | + | 42.7889i | −0.652137 | + | 1.48344i | ||||
\(833\) | −0.941894 | − | 1.12251i | −0.0326347 | − | 0.0388925i | ||||
\(834\) | −10.3897 | − | 0.768541i | −0.359765 | − | 0.0266124i | ||||
\(835\) | 6.79354 | + | 18.6651i | 0.235100 | + | 0.645933i | ||||
\(836\) | 0.526483 | − | 0.178782i | 0.0182088 | − | 0.00618332i | ||||
\(837\) | 24.9105 | + | 25.6395i | 0.861032 | + | 0.886229i | ||||
\(838\) | −3.18868 | − | 2.28470i | −0.110151 | − | 0.0789238i | ||||
\(839\) | 28.5491 | − | 10.3910i | 0.985626 | − | 0.358739i | 0.201601 | − | 0.979468i | \(-0.435386\pi\) |
0.784025 | + | 0.620729i | \(0.213163\pi\) | |||||||
\(840\) | −1.98125 | + | 7.15667i | −0.0683595 | + | 0.246929i | ||||
\(841\) | 20.1858 | − | 16.9379i | 0.696063 | − | 0.584066i | ||||
\(842\) | 9.85023 | − | 20.5389i | 0.339461 | − | 0.707819i | ||||
\(843\) | −6.26616 | + | 7.84703i | −0.215818 | + | 0.270266i | ||||
\(844\) | 19.5901 | + | 7.61565i | 0.674318 | + | 0.262142i | ||||
\(845\) | 27.7460 | + | 16.0192i | 0.954491 | + | 0.551076i | ||||
\(846\) | 16.3985 | − | 38.9357i | 0.563791 | − | 1.33864i | ||||
\(847\) | −8.55106 | + | 4.93696i | −0.293818 | + | 0.169636i | ||||
\(848\) | −5.33944 | + | 2.78104i | −0.183357 | + | 0.0955014i | ||||
\(849\) | 10.0128 | + | 11.3608i | 0.343638 | + | 0.389901i | ||||
\(850\) | 4.62190 | − | 3.16210i | 0.158530 | − | 0.108459i | ||||
\(851\) | 19.0052 | + | 6.91732i | 0.651489 | + | 0.237123i | ||||
\(852\) | −44.7940 | − | 25.7082i | −1.53462 | − | 0.880748i | ||||
\(853\) | −2.01669 | + | 11.4372i | −0.0690500 | + | 0.391602i | 0.930622 | + | 0.365982i | \(0.119267\pi\) |
−0.999672 | + | 0.0256196i | \(0.991844\pi\) | |||||||
\(854\) | 19.6153 | + | 1.93084i | 0.671223 | + | 0.0660720i | ||||
\(855\) | 0.263582 | + | 1.16180i | 0.00901430 | + | 0.0397327i | ||||
\(856\) | 11.1951 | + | 11.9488i | 0.382639 | + | 0.408403i | ||||
\(857\) | 13.3396 | − | 15.8975i | 0.455673 | − | 0.543050i | −0.488472 | − | 0.872579i | \(-0.662446\pi\) |
0.944145 | + | 0.329530i | \(0.106890\pi\) | |||||||
\(858\) | 4.12730 | + | 14.6153i | 0.140904 | + | 0.498959i | ||||
\(859\) | −30.7310 | + | 5.41870i | −1.04853 | + | 0.184884i | −0.671261 | − | 0.741221i | \(-0.734247\pi\) |
−0.377267 | + | 0.926105i | \(0.623136\pi\) | |||||||
\(860\) | −12.9517 | − | 7.85732i | −0.441650 | − | 0.267932i | ||||
\(861\) | 4.84527 | − | 0.117677i | 0.165126 | − | 0.00401041i | ||||
\(862\) | 5.12747 | + | 1.43372i | 0.174642 | + | 0.0488327i | ||||
\(863\) | −24.1651 | −0.822588 | −0.411294 | − | 0.911503i | \(-0.634923\pi\) | ||||
−0.411294 | + | 0.911503i | \(0.634923\pi\) | |||||||
\(864\) | −8.13396 | − | 28.2460i | −0.276723 | − | 0.960950i | ||||
\(865\) | −30.1165 | −1.02399 | ||||||||
\(866\) | 46.1761 | + | 12.9116i | 1.56913 | + | 0.438753i | ||||
\(867\) | −13.4001 | − | 21.9603i | −0.455090 | − | 0.745813i | ||||
\(868\) | −11.7639 | − | 7.13669i | −0.399291 | − | 0.242235i | ||||
\(869\) | −4.70197 | + | 0.829085i | −0.159504 | + | 0.0281248i | ||||
\(870\) | 5.85794 | + | 1.48561i | 0.198603 | + | 0.0503669i | ||||
\(871\) | −24.5062 | + | 29.2053i | −0.830360 | + | 0.989584i | ||||
\(872\) | −19.1920 | − | 20.4843i | −0.649924 | − | 0.693685i | ||||
\(873\) | 14.2665 | − | 5.99195i | 0.482847 | − | 0.202797i | ||||
\(874\) | 1.92278 | + | 0.189270i | 0.0650391 | + | 0.00640214i | ||||
\(875\) | 2.02738 | − | 11.4978i | 0.0685379 | − | 0.388698i | ||||
\(876\) | −0.0561683 | − | 21.7981i | −0.00189775 | − | 0.736489i | ||||
\(877\) | 53.0894 | + | 19.3230i | 1.79270 | + | 0.652490i | 0.999025 | + | 0.0441518i | \(0.0140585\pi\) |
0.793678 | + | 0.608339i | \(0.208164\pi\) | |||||||
\(878\) | −12.1671 | + | 8.32420i | −0.410620 | + | 0.280928i | ||||
\(879\) | 12.3809 | − | 2.49447i | 0.417598 | − | 0.0841363i | ||||
\(880\) | −5.70643 | + | 2.97219i | −0.192364 | + | 0.100193i | ||||
\(881\) | 4.14522 | − | 2.39324i | 0.139656 | − | 0.0806304i | −0.428544 | − | 0.903521i | \(-0.640973\pi\) |
0.568200 | + | 0.822890i | \(0.307640\pi\) | |||||||
\(882\) | 3.77480 | − | 1.93671i | 0.127104 | − | 0.0652126i | ||||
\(883\) | −12.0885 | − | 6.97930i | −0.406810 | − | 0.234872i | 0.282608 | − | 0.959235i | \(-0.408800\pi\) |
−0.689418 | + | 0.724363i | \(0.742134\pi\) | |||||||
\(884\) | 15.9592 | + | 6.20415i | 0.536766 | + | 0.208668i | ||||
\(885\) | −11.8810 | − | 1.79868i | −0.399375 | − | 0.0604620i | ||||
\(886\) | −13.5932 | + | 28.3435i | −0.456673 | + | 0.952219i | ||||
\(887\) | −11.1987 | + | 9.39685i | −0.376017 | + | 0.315515i | −0.811136 | − | 0.584857i | \(-0.801151\pi\) |
0.435120 | + | 0.900373i | \(0.356706\pi\) | |||||||
\(888\) | 13.3233 | + | 13.5457i | 0.447100 | + | 0.454563i | ||||
\(889\) | 14.2411 | − | 5.18333i | 0.477630 | − | 0.173843i | ||||
\(890\) | 25.3335 | + | 18.1516i | 0.849182 | + | 0.608443i | ||||
\(891\) | −7.87699 | − | 5.40054i | −0.263889 | − | 0.180925i | ||||
\(892\) | 35.2136 | − | 11.9578i | 1.17904 | − | 0.400376i | ||||
\(893\) | 0.892257 | + | 2.45146i | 0.0298582 | + | 0.0820349i | ||||
\(894\) | 13.1071 | + | 27.1504i | 0.438368 | + | 0.908044i | ||||
\(895\) | 1.01683 | + | 1.21181i | 0.0339889 | + | 0.0405064i | ||||
\(896\) | 5.76718 | + | 9.73343i | 0.192668 | + | 0.325171i | ||||
\(897\) | −7.89936 | + | 52.1783i | −0.263752 | + | 1.74218i | ||||
\(898\) | 53.6670 | − | 13.7576i | 1.79089 | − | 0.459096i | ||||
\(899\) | −5.59890 | + | 9.69758i | −0.186734 | + | 0.323432i | ||||
\(900\) | 5.95276 | + | 15.0819i | 0.198425 | + | 0.502731i | ||||
\(901\) | 1.10271 | + | 1.90995i | 0.0367366 | + | 0.0636296i | ||||
\(902\) | 2.93701 | + | 3.00147i | 0.0977919 | + | 0.0999379i | ||||
\(903\) | 1.70943 | + | 8.48450i | 0.0568862 | + | 0.282346i | ||||
\(904\) | −18.6096 | − | 13.9550i | −0.618947 | − | 0.464135i | ||||
\(905\) | 8.14632 | − | 22.3818i | 0.270793 | − | 0.743998i | ||||
\(906\) | −16.0163 | + | 11.5383i | −0.532106 | + | 0.383336i | ||||
\(907\) | −51.8628 | − | 9.14482i | −1.72208 | − | 0.303649i | −0.776759 | − | 0.629798i | \(-0.783138\pi\) |
−0.945318 | + | 0.326149i | \(0.894249\pi\) | |||||||
\(908\) | 37.3133 | − | 42.5572i | 1.23828 | − | 1.41231i | ||||
\(909\) | −21.7500 | − | 2.75440i | −0.721401 | − | 0.0913577i | ||||
\(910\) | 11.4079 | − | 5.16962i | 0.378169 | − | 0.171371i | ||||
\(911\) | −27.2052 | − | 22.8278i | −0.901347 | − | 0.756320i | 0.0691059 | − | 0.997609i | \(-0.477985\pi\) |
−0.970453 | + | 0.241289i | \(0.922430\pi\) | |||||||
\(912\) | 1.55423 | + | 0.937425i | 0.0514658 | + | 0.0310412i | ||||
\(913\) | 2.30863 | + | 13.0929i | 0.0764045 | + | 0.433311i | ||||
\(914\) | 1.41929 | − | 0.108665i | 0.0469461 | − | 0.00359432i | ||||
\(915\) | −31.2353 | + | 19.0596i | −1.03261 | + | 0.630090i | ||||
\(916\) | −26.4874 | − | 32.9951i | −0.875167 | − | 1.09019i | ||||
\(917\) | − | 6.90304i | − | 0.227958i | ||||||
\(918\) | −10.2084 | + | 3.42597i | −0.336926 | + | 0.113074i | ||||
\(919\) | 52.0127i | 1.71574i | 0.513867 | + | 0.857870i | \(0.328212\pi\) | ||||
−0.513867 | + | 0.857870i | \(0.671788\pi\) | |||||||
\(920\) | −22.3242 | + | 1.22254i | −0.736008 | + | 0.0403060i | ||||
\(921\) | 0.881438 | + | 36.2927i | 0.0290444 | + | 1.19588i | ||||
\(922\) | −1.65477 | − | 21.6133i | −0.0544971 | − | 0.711795i | ||||
\(923\) | 15.1263 | + | 85.7856i | 0.497889 | + | 2.82367i | ||||
\(924\) | 3.45754 | + | 1.24836i | 0.113745 | + | 0.0410681i | ||||
\(925\) | −8.02866 | − | 6.73684i | −0.263981 | − | 0.221506i | ||||
\(926\) | −5.61560 | − | 12.3921i | −0.184540 | − | 0.407228i | ||||
\(927\) | 14.5395 | + | 15.7108i | 0.477538 | + | 0.516010i | ||||
\(928\) | 7.81762 | − | 4.86433i | 0.256626 | − | 0.159679i | ||||
\(929\) | 26.2493 | + | 4.62846i | 0.861212 | + | 0.151855i | 0.586775 | − | 0.809750i | \(-0.300397\pi\) |
0.274437 | + | 0.961605i | \(0.411508\pi\) | |||||||
\(930\) | 25.4144 | − | 2.56781i | 0.833370 | − | 0.0842018i | ||||
\(931\) | −0.0896024 | + | 0.246180i | −0.00293660 | + | 0.00806824i | ||||
\(932\) | −38.7996 | − | 0.842293i | −1.27092 | − | 0.0275902i | ||||
\(933\) | 20.1805 | − | 17.7860i | 0.660678 | − | 0.582287i | ||||
\(934\) | 0.840663 | − | 0.822611i | 0.0275073 | − | 0.0269167i | ||||
\(935\) | 1.17850 | + | 2.04123i | 0.0385411 | + | 0.0667552i | ||||
\(936\) | −27.7822 | + | 41.0605i | −0.908089 | + | 1.34210i | ||||
\(937\) | −21.6457 | + | 37.4915i | −0.707135 | + | 1.22479i | 0.258781 | + | 0.965936i | \(0.416679\pi\) |
−0.965916 | + | 0.258857i | \(0.916654\pi\) | |||||||
\(938\) | 2.29154 | + | 8.93910i | 0.0748216 | + | 0.291872i | ||||
\(939\) | −16.3017 | − | 13.0176i | −0.531987 | − | 0.424812i | ||||
\(940\) | −14.5233 | − | 26.4654i | −0.473696 | − | 0.863207i | ||||
\(941\) | 6.94689 | + | 8.27898i | 0.226462 | + | 0.269887i | 0.867296 | − | 0.497792i | \(-0.165856\pi\) |
−0.640834 | + | 0.767679i | \(0.721411\pi\) | |||||||
\(942\) | −38.7492 | − | 26.3642i | −1.26252 | − | 0.858991i | ||||
\(943\) | 4.99090 | + | 13.7124i | 0.162526 | + | 0.446536i | ||||
\(944\) | −14.5219 | + | 11.1482i | −0.472648 | + | 0.362843i | ||||
\(945\) | −3.43125 | + | 7.08961i | −0.111619 | + | 0.230625i | ||||
\(946\) | −4.36769 | + | 6.09582i | −0.142006 | + | 0.198192i | ||||
\(947\) | −20.9239 | + | 7.61566i | −0.679934 | + | 0.247476i | −0.658819 | − | 0.752301i | \(-0.728944\pi\) |
−0.0211149 | + | 0.999777i | \(0.506722\pi\) | |||||||
\(948\) | −11.9653 | − | 9.98767i | −0.388616 | − | 0.324385i | ||||
\(949\) | −28.1638 | + | 23.6323i | −0.914236 | + | 0.767135i | ||||
\(950\) | −0.902762 | − | 0.432954i | −0.0292895 | − | 0.0140469i | ||||
\(951\) | 3.74579 | + | 9.56243i | 0.121466 | + | 0.310083i | ||||
\(952\) | 3.47062 | − | 2.26545i | 0.112483 | − | 0.0734237i | ||||
\(953\) | −48.3811 | − | 27.9328i | −1.56722 | − | 0.904834i | −0.996492 | − | 0.0836932i | \(-0.973328\pi\) |
−0.570726 | − | 0.821140i | \(-0.693338\pi\) | |||||||
\(954\) | −6.10120 | + | 1.88405i | −0.197533 | + | 0.0609985i | ||||
\(955\) | 25.9519 | − | 14.9833i | 0.839783 | − | 0.484849i | ||||
\(956\) | −23.2334 | + | 3.57861i | −0.751423 | + | 0.115741i | ||||
\(957\) | 0.954645 | − | 2.83524i | 0.0308593 | − | 0.0916503i | ||||
\(958\) | 14.8096 | + | 21.6465i | 0.478475 | + | 0.699367i | ||||
\(959\) | 1.60487 | + | 0.584125i | 0.0518239 | + | 0.0188624i | ||||
\(960\) | −19.4271 | − | 7.98333i | −0.627007 | − | 0.257661i | ||||
\(961\) | −2.83570 | + | 16.0820i | −0.0914741 | + | 0.518776i | ||||
\(962\) | 3.13924 | − | 31.8914i | 0.101213 | − | 1.02822i | ||||
\(963\) | 9.40346 | + | 14.6011i | 0.303022 | + | 0.470514i | ||||
\(964\) | 49.4536 | + | 9.83121i | 1.59279 | + | 0.316642i | ||||
\(965\) | 23.3120 | − | 27.7822i | 0.750441 | − | 0.894340i | ||||
\(966\) | 9.15286 | + | 8.91027i | 0.294488 | + | 0.286683i | ||||
\(967\) | 22.2479 | − | 3.92291i | 0.715445 | − | 0.126152i | 0.195935 | − | 0.980617i | \(-0.437226\pi\) |
0.519510 | + | 0.854465i | \(0.326115\pi\) | |||||||
\(968\) | −10.9725 | − | 25.6818i | −0.352671 | − | 0.825446i | ||||
\(969\) | 0.318376 | − | 0.583731i | 0.0102277 | − | 0.0187521i | ||||
\(970\) | 2.97744 | − | 10.6483i | 0.0955999 | − | 0.341898i | ||||
\(971\) | −15.9506 | −0.511879 | −0.255939 | − | 0.966693i | \(-0.582385\pi\) | ||||
−0.255939 | + | 0.966693i | \(0.582385\pi\) | |||||||
\(972\) | −3.10336 | − | 31.0221i | −0.0995403 | − | 0.995034i | ||||
\(973\) | 4.25316 | 0.136350 | ||||||||
\(974\) | −13.2506 | + | 47.3887i | −0.424577 | + | 1.51843i | ||||
\(975\) | 13.0945 | − | 24.0084i | 0.419361 | − | 0.768884i | ||||
\(976\) | −12.0541 | + | 54.4299i | −0.385843 | + | 1.74226i | ||||
\(977\) | 33.0955 | − | 5.83563i | 1.05882 | − | 0.186698i | 0.382987 | − | 0.923754i | \(-0.374896\pi\) |
0.675832 | + | 0.737056i | \(0.263784\pi\) | |||||||
\(978\) | −23.3814 | − | 22.7617i | −0.747654 | − | 0.727838i | ||||
\(979\) | 9.91670 | − | 11.8183i | 0.316939 | − | 0.377713i | ||||
\(980\) | 0.591103 | − | 2.97340i | 0.0188821 | − | 0.0949819i | ||||
\(981\) | −16.1207 | − | 25.0311i | −0.514693 | − | 0.799182i | ||||
\(982\) | −3.84323 | + | 39.0432i | −0.122642 | + | 1.24592i | ||||
\(983\) | −3.74693 | + | 21.2499i | −0.119509 | + | 0.677767i | 0.864910 | + | 0.501927i | \(0.167375\pi\) |
−0.984419 | + | 0.175840i | \(0.943736\pi\) | |||||||
\(984\) | −1.30776 | + | 13.6460i | −0.0416897 | + | 0.435019i | ||||
\(985\) | 10.0146 | + | 3.64501i | 0.319091 | + | 0.116140i | ||||
\(986\) | −1.90456 | − | 2.78381i | −0.0606536 | − | 0.0886547i | ||||
\(987\) | −5.50381 | + | 16.3460i | −0.175188 | + | 0.520298i | ||||
\(988\) | −0.466032 | − | 3.02562i | −0.0148265 | − | 0.0962578i | ||||
\(989\) | −22.5672 | + | 13.0292i | −0.717596 | + | 0.414304i | ||||
\(990\) | −6.52055 | + | 2.01355i | −0.207237 | + | 0.0639948i | ||||
\(991\) | −36.6098 | − | 21.1367i | −1.16295 | − | 0.671429i | −0.210940 | − | 0.977499i | \(-0.567653\pi\) |
−0.952009 | + | 0.306070i | \(0.900986\pi\) | |||||||
\(992\) | 24.0183 | − | 30.6217i | 0.762581 | − | 0.972239i | ||||
\(993\) | 9.32838 | + | 23.8139i | 0.296027 | + | 0.755712i | ||||
\(994\) | 19.0115 | + | 9.11769i | 0.603008 | + | 0.289196i | ||||
\(995\) | 25.2342 | − | 21.1740i | 0.799979 | − | 0.671262i | ||||
\(996\) | −27.8112 | + | 33.3181i | −0.881232 | + | 1.05572i | ||||
\(997\) | −10.3420 | + | 3.76418i | −0.327535 | + | 0.119213i | −0.500553 | − | 0.865706i | \(-0.666870\pi\) |
0.173019 | + | 0.984919i | \(0.444648\pi\) | |||||||
\(998\) | 35.1197 | − | 49.0153i | 1.11170 | − | 1.55155i | ||||
\(999\) | 11.3197 | + | 16.6728i | 0.358140 | + | 0.527505i |
(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 | 756.2.cf.a.155.11 | ✓ | 648 | |
4.3 | odd | 2 | inner | 756.2.cf.a.155.75 | yes | 648 | |
27.23 | odd | 18 | inner | 756.2.cf.a.239.75 | yes | 648 | |
108.23 | even | 18 | inner | 756.2.cf.a.239.11 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
756.2.cf.a.155.11 | ✓ | 648 | 1.1 | even | 1 | trivial | |
756.2.cf.a.155.75 | yes | 648 | 4.3 | odd | 2 | inner | |
756.2.cf.a.239.11 | yes | 648 | 108.23 | even | 18 | inner | |
756.2.cf.a.239.75 | yes | 648 | 27.23 | odd | 18 | inner |