Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [93,2,Mod(11,93)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(93, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 23]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("93.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 93 = 3 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 93.p (of order \(30\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.742608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 11.4 | ||
Character | \(\chi\) | \(=\) | 93.11 |
Dual form | 93.2.p.b.17.4 |
$q$-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 \(\left(\mathbb{Z}/93\mathbb{Z}\right)^\times\).
\(n\) | \(32\) | \(34\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{23}{30}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.13134 | + | 0.367594i | −0.799977 | + | 0.259928i | −0.680347 | − | 0.732890i | \(-0.738171\pi\) |
−0.119630 | + | 0.992819i | \(0.538171\pi\) | |||||||
\(3\) | 1.09350 | + | 1.34323i | 0.631331 | + | 0.775514i | ||||
\(4\) | −0.473233 | + | 0.343824i | −0.236616 | + | 0.171912i | ||||
\(5\) | −3.25867 | + | 1.88139i | −1.45732 | + | 0.841385i | −0.998879 | − | 0.0473395i | \(-0.984926\pi\) |
−0.458442 | + | 0.888724i | \(0.651592\pi\) | |||||||
\(6\) | −1.73088 | − | 1.11768i | −0.706628 | − | 0.456293i | ||||
\(7\) | −0.121266 | − | 1.15377i | −0.0458341 | − | 0.436082i | −0.993243 | − | 0.116056i | \(-0.962975\pi\) |
0.947409 | − | 0.320027i | \(-0.103692\pi\) | |||||||
\(8\) | 1.80741 | − | 2.48769i | 0.639016 | − | 0.879530i | ||||
\(9\) | −0.608530 | + | 2.93763i | −0.202843 | + | 0.979211i | ||||
\(10\) | 2.99507 | − | 3.32636i | 0.947124 | − | 1.05189i | ||||
\(11\) | 1.44229 | + | 0.642148i | 0.434866 | + | 0.193615i | 0.612481 | − | 0.790485i | \(-0.290172\pi\) |
−0.177615 | + | 0.984100i | \(0.556838\pi\) | |||||||
\(12\) | −0.979313 | − | 0.259690i | −0.282703 | − | 0.0749661i | ||||
\(13\) | 1.12113 | + | 5.27450i | 0.310945 | + | 1.46288i | 0.804908 | + | 0.593399i | \(0.202215\pi\) |
−0.493963 | + | 0.869483i | \(0.664452\pi\) | |||||||
\(14\) | 0.561310 | + | 1.26072i | 0.150016 | + | 0.336942i | ||||
\(15\) | −6.09049 | − | 2.31984i | −1.57256 | − | 0.598981i | ||||
\(16\) | −0.768816 | + | 2.36617i | −0.192204 | + | 0.591543i | ||||
\(17\) | 3.70486 | − | 1.64951i | 0.898561 | − | 0.400065i | 0.0951312 | − | 0.995465i | \(-0.469673\pi\) |
0.803430 | + | 0.595400i | \(0.203006\pi\) | |||||||
\(18\) | −0.391404 | − | 3.54715i | −0.0922547 | − | 0.836071i | ||||
\(19\) | 2.07066 | + | 0.440133i | 0.475043 | + | 0.100973i | 0.439210 | − | 0.898384i | \(-0.355258\pi\) |
0.0358327 | + | 0.999358i | \(0.488592\pi\) | |||||||
\(20\) | 0.895241 | − | 2.01075i | 0.200182 | − | 0.449616i | ||||
\(21\) | 1.41717 | − | 1.42453i | 0.309251 | − | 0.310857i | ||||
\(22\) | −1.86777 | − | 0.196310i | −0.398209 | − | 0.0418534i | ||||
\(23\) | 1.05297 | + | 0.765029i | 0.219560 | + | 0.159520i | 0.692129 | − | 0.721774i | \(-0.256673\pi\) |
−0.472569 | + | 0.881294i | \(0.656673\pi\) | |||||||
\(24\) | 5.31793 | − | 0.292511i | 1.08552 | − | 0.0597085i | ||||
\(25\) | 4.57928 | − | 7.93155i | 0.915856 | − | 1.58631i | ||||
\(26\) | −3.20725 | − | 5.55512i | −0.628994 | − | 1.08945i | ||||
\(27\) | −4.61134 | + | 2.39490i | −0.887453 | + | 0.460898i | ||||
\(28\) | 0.454079 | + | 0.504306i | 0.0858129 | + | 0.0953048i | ||||
\(29\) | −0.285528 | − | 0.878764i | −0.0530212 | − | 0.163182i | 0.921040 | − | 0.389469i | \(-0.127341\pi\) |
−0.974061 | + | 0.226286i | \(0.927341\pi\) | |||||||
\(30\) | 7.74316 | + | 0.385699i | 1.41370 | + | 0.0704188i | ||||
\(31\) | 1.59217 | − | 5.33526i | 0.285963 | − | 0.958241i | ||||
\(32\) | 3.19035i | 0.563979i | ||||||||
\(33\) | 0.714585 | + | 2.63951i | 0.124393 | + | 0.459480i | ||||
\(34\) | −3.58510 | + | 3.22804i | −0.614840 | + | 0.553604i | ||||
\(35\) | 2.56585 | + | 3.53159i | 0.433708 | + | 0.596948i | ||||
\(36\) | −0.722052 | − | 1.59941i | −0.120342 | − | 0.266569i | ||||
\(37\) | −7.98383 | − | 4.60947i | −1.31253 | − | 0.757792i | −0.330019 | − | 0.943974i | \(-0.607055\pi\) |
−0.982515 | + | 0.186183i | \(0.940388\pi\) | |||||||
\(38\) | −2.50441 | + | 0.263224i | −0.406269 | + | 0.0427006i | ||||
\(39\) | −5.85891 | + | 7.27358i | −0.938176 | + | 1.16470i | ||||
\(40\) | −1.20943 | + | 11.5070i | −0.191228 | + | 1.81942i | ||||
\(41\) | −2.74468 | − | 2.47132i | −0.428647 | − | 0.385955i | 0.426376 | − | 0.904546i | \(-0.359790\pi\) |
−0.855022 | + | 0.518591i | \(0.826457\pi\) | |||||||
\(42\) | −1.07965 | + | 2.13256i | −0.166593 | + | 0.329062i | ||||
\(43\) | −1.64332 | + | 7.73123i | −0.250605 | + | 1.17900i | 0.655250 | + | 0.755412i | \(0.272563\pi\) |
−0.905854 | + | 0.423590i | \(0.860770\pi\) | |||||||
\(44\) | −0.903324 | + | 0.192007i | −0.136181 | + | 0.0289462i | ||||
\(45\) | −3.54385 | − | 10.7177i | −0.528286 | − | 1.59769i | ||||
\(46\) | −1.47249 | − | 0.478441i | −0.217107 | − | 0.0705422i | ||||
\(47\) | 7.19341 | + | 2.33728i | 1.04927 | + | 0.340928i | 0.782381 | − | 0.622801i | \(-0.214005\pi\) |
0.266886 | + | 0.963728i | \(0.414005\pi\) | |||||||
\(48\) | −4.01901 | + | 1.55470i | −0.580094 | + | 0.224402i | ||||
\(49\) | 5.53056 | − | 1.17556i | 0.790081 | − | 0.167937i | ||||
\(50\) | −2.26513 | + | 10.6566i | −0.320337 | + | 1.50707i | ||||
\(51\) | 6.26693 | + | 3.17274i | 0.877545 | + | 0.444273i | ||||
\(52\) | −2.34405 | − | 2.11059i | −0.325062 | − | 0.292687i | ||||
\(53\) | −0.927089 | + | 8.82066i | −0.127345 | + | 1.21161i | 0.725043 | + | 0.688703i | \(0.241820\pi\) |
−0.852389 | + | 0.522908i | \(0.824847\pi\) | |||||||
\(54\) | 4.33664 | − | 4.40454i | 0.590142 | − | 0.599382i | ||||
\(55\) | −5.90807 | + | 0.620963i | −0.796644 | + | 0.0837307i | ||||
\(56\) | −3.08938 | − | 1.78366i | −0.412836 | − | 0.238351i | ||||
\(57\) | 1.67306 | + | 3.26266i | 0.221603 | + | 0.432150i | ||||
\(58\) | 0.646057 | + | 0.889222i | 0.0848315 | + | 0.116761i | ||||
\(59\) | 7.74731 | − | 6.97571i | 1.00861 | − | 0.908160i | 0.0128323 | − | 0.999918i | \(-0.495915\pi\) |
0.995781 | + | 0.0917578i | \(0.0292486\pi\) | |||||||
\(60\) | 3.67984 | − | 0.996229i | 0.475065 | − | 0.128613i | ||||
\(61\) | − | 4.86376i | − | 0.622741i | −0.950289 | − | 0.311371i | \(-0.899212\pi\) | ||
0.950289 | − | 0.311371i | \(-0.100788\pi\) | |||||||
\(62\) | 0.159922 | + | 6.62126i | 0.0203101 | + | 0.840900i | ||||
\(63\) | 3.46313 | + | 0.345867i | 0.436314 | + | 0.0435751i | ||||
\(64\) | −2.71038 | − | 8.34170i | −0.338798 | − | 1.04271i | ||||
\(65\) | −13.5768 | − | 15.0786i | −1.68399 | − | 1.87026i | ||||
\(66\) | −1.77871 | − | 2.72350i | −0.218944 | − | 0.335240i | ||||
\(67\) | 1.87847 | + | 3.25360i | 0.229491 | + | 0.397491i | 0.957657 | − | 0.287910i | \(-0.0929604\pi\) |
−0.728166 | + | 0.685401i | \(0.759627\pi\) | |||||||
\(68\) | −1.18612 | + | 2.05442i | −0.143838 | + | 0.249135i | ||||
\(69\) | 0.123812 | + | 2.25094i | 0.0149052 | + | 0.270981i | ||||
\(70\) | −4.20104 | − | 3.05223i | −0.502120 | − | 0.364812i | ||||
\(71\) | −7.89756 | − | 0.830067i | −0.937267 | − | 0.0985108i | −0.376438 | − | 0.926442i | \(-0.622851\pi\) |
−0.560830 | + | 0.827931i | \(0.689518\pi\) | |||||||
\(72\) | 6.20805 | + | 6.82334i | 0.731626 | + | 0.804138i | ||||
\(73\) | 0.894859 | − | 2.00989i | 0.104735 | − | 0.235239i | −0.853574 | − | 0.520971i | \(-0.825570\pi\) |
0.958310 | + | 0.285732i | \(0.0922366\pi\) | |||||||
\(74\) | 10.7268 | + | 2.28006i | 1.24697 | + | 0.265051i | ||||
\(75\) | 15.6613 | − | 2.52210i | 1.80841 | − | 0.291227i | ||||
\(76\) | −1.13123 | + | 0.503658i | −0.129761 | + | 0.0577735i | ||||
\(77\) | 0.565988 | − | 1.74193i | 0.0645003 | − | 0.198512i | ||||
\(78\) | 3.95468 | − | 10.3826i | 0.447780 | − | 1.17560i | ||||
\(79\) | 1.85553 | + | 4.16759i | 0.208764 | + | 0.468891i | 0.987332 | − | 0.158669i | \(-0.0507204\pi\) |
−0.778568 | + | 0.627560i | \(0.784054\pi\) | |||||||
\(80\) | −1.94638 | − | 9.15701i | −0.217612 | − | 1.02379i | ||||
\(81\) | −8.25938 | − | 3.57528i | −0.917709 | − | 0.397253i | ||||
\(82\) | 4.01360 | + | 1.78697i | 0.443228 | + | 0.197338i | ||||
\(83\) | 3.43714 | − | 3.81733i | 0.377276 | − | 0.419007i | −0.524365 | − | 0.851494i | \(-0.675697\pi\) |
0.901640 | + | 0.432487i | \(0.142364\pi\) | |||||||
\(84\) | −0.180864 | + | 1.16139i | −0.0197339 | + | 0.126718i | ||||
\(85\) | −8.96954 | + | 12.3455i | −0.972883 | + | 1.33906i | ||||
\(86\) | −0.982800 | − | 9.35072i | −0.105978 | − | 1.00831i | ||||
\(87\) | 0.868158 | − | 1.34446i | 0.0930763 | − | 0.144141i | ||||
\(88\) | 4.20427 | − | 2.42734i | 0.448177 | − | 0.258755i | ||||
\(89\) | −2.01575 | + | 1.46453i | −0.213669 | + | 0.155240i | −0.689472 | − | 0.724312i | \(-0.742158\pi\) |
0.475803 | + | 0.879552i | \(0.342158\pi\) | |||||||
\(90\) | 7.94904 | + | 10.8226i | 0.837902 | + | 1.14080i | ||||
\(91\) | 5.94958 | − | 1.93314i | 0.623685 | − | 0.202648i | ||||
\(92\) | −0.761337 | −0.0793748 | ||||||||
\(93\) | 8.90751 | − | 3.69543i | 0.923666 | − | 0.383198i | ||||
\(94\) | −8.99735 | −0.928006 | ||||||||
\(95\) | −7.57567 | + | 2.46148i | −0.777247 | + | 0.252543i | ||||
\(96\) | −4.28537 | + | 3.48863i | −0.437373 | + | 0.356057i | ||||
\(97\) | 8.65013 | − | 6.28469i | 0.878288 | − | 0.638114i | −0.0545100 | − | 0.998513i | \(-0.517360\pi\) |
0.932798 | + | 0.360400i | \(0.117360\pi\) | |||||||
\(98\) | −5.82481 | + | 3.36296i | −0.588395 | + | 0.339710i | ||||
\(99\) | −2.76407 | + | 3.84615i | −0.277800 | + | 0.386552i | ||||
\(100\) | 0.559989 | + | 5.32794i | 0.0559989 | + | 0.532794i | ||||
\(101\) | 5.24637 | − | 7.22101i | 0.522033 | − | 0.718517i | −0.463857 | − | 0.885910i | \(-0.653535\pi\) |
0.985890 | + | 0.167393i | \(0.0535348\pi\) | |||||||
\(102\) | −8.25630 | − | 1.28576i | −0.817495 | − | 0.127309i | ||||
\(103\) | −9.21813 | + | 10.2378i | −0.908289 | + | 1.00876i | 0.0916269 | + | 0.995793i | \(0.470793\pi\) |
−0.999916 | + | 0.0129638i | \(0.995873\pi\) | |||||||
\(104\) | 15.1476 | + | 6.74416i | 1.48535 | + | 0.661320i | ||||
\(105\) | −1.93799 | + | 7.30831i | −0.189128 | + | 0.713218i | ||||
\(106\) | −2.19357 | − | 10.3199i | −0.213059 | − | 1.00236i | ||||
\(107\) | 5.11120 | + | 11.4799i | 0.494119 | + | 1.10981i | 0.972763 | + | 0.231800i | \(0.0744615\pi\) |
−0.478645 | + | 0.878009i | \(0.658872\pi\) | |||||||
\(108\) | 1.35882 | − | 2.71883i | 0.130752 | − | 0.261620i | ||||
\(109\) | 3.12175 | − | 9.60775i | 0.299009 | − | 0.920256i | −0.682836 | − | 0.730572i | \(-0.739254\pi\) |
0.981845 | − | 0.189684i | \(-0.0607464\pi\) | |||||||
\(110\) | 6.45577 | − | 2.87429i | 0.615533 | − | 0.274053i | ||||
\(111\) | −2.53872 | − | 15.7646i | −0.240965 | − | 1.49631i | ||||
\(112\) | 2.82324 | + | 0.600098i | 0.266771 | + | 0.0567039i | ||||
\(113\) | 2.49342 | − | 5.60030i | 0.234561 | − | 0.526832i | −0.757464 | − | 0.652877i | \(-0.773562\pi\) |
0.992025 | + | 0.126045i | \(0.0402284\pi\) | |||||||
\(114\) | −3.09214 | − | 3.07616i | −0.289605 | − | 0.288109i | ||||
\(115\) | −4.87061 | − | 0.511922i | −0.454187 | − | 0.0477370i | ||||
\(116\) | 0.437261 | + | 0.317689i | 0.0405987 | + | 0.0294967i | ||||
\(117\) | −16.1768 | + | 0.0837769i | −1.49554 | + | 0.00774518i | ||||
\(118\) | −6.20060 | + | 10.7398i | −0.570811 | + | 0.988674i | ||||
\(119\) | −2.35242 | − | 4.07451i | −0.215646 | − | 0.373510i | ||||
\(120\) | −16.7790 | + | 10.9583i | −1.53171 | + | 1.00035i | ||||
\(121\) | −5.69260 | − | 6.32227i | −0.517509 | − | 0.574752i | ||||
\(122\) | 1.78789 | + | 5.50256i | 0.161868 | + | 0.498179i | ||||
\(123\) | 0.318252 | − | 6.38911i | 0.0286958 | − | 0.576087i | ||||
\(124\) | 1.08092 | + | 3.07225i | 0.0970695 | + | 0.275896i | ||||
\(125\) | 15.6478i | 1.39958i | ||||||||
\(126\) | −4.04512 | + | 0.881735i | −0.360368 | + | 0.0785512i | ||||
\(127\) | 13.1249 | − | 11.8177i | 1.16465 | − | 1.04865i | 0.166609 | − | 0.986023i | \(-0.446718\pi\) |
0.998037 | − | 0.0626292i | \(-0.0199485\pi\) | |||||||
\(128\) | 2.38225 | + | 3.27888i | 0.210563 | + | 0.289815i | ||||
\(129\) | −12.1818 | + | 6.24672i | −1.07255 | + | 0.549993i | ||||
\(130\) | 20.9027 | + | 12.0682i | 1.83329 | + | 1.05845i | ||||
\(131\) | −2.68613 | + | 0.282323i | −0.234688 | + | 0.0246667i | −0.221142 | − | 0.975242i | \(-0.570979\pi\) |
−0.0135456 | + | 0.999908i | \(0.504312\pi\) | |||||||
\(132\) | −1.24569 | − | 1.00341i | −0.108424 | − | 0.0873358i | ||||
\(133\) | 0.256710 | − | 2.44243i | 0.0222596 | − | 0.211786i | ||||
\(134\) | −3.32119 | − | 2.99041i | −0.286907 | − | 0.258332i | ||||
\(135\) | 10.5211 | − | 16.4799i | 0.905511 | − | 1.41837i | ||||
\(136\) | 2.59274 | − | 12.1979i | 0.222326 | − | 1.04596i | ||||
\(137\) | −1.46614 | + | 0.311639i | −0.125261 | + | 0.0266251i | −0.270116 | − | 0.962828i | \(-0.587062\pi\) |
0.144854 | + | 0.989453i | \(0.453729\pi\) | |||||||
\(138\) | −0.967506 | − | 2.50106i | −0.0823596 | − | 0.212905i | ||||
\(139\) | 9.59427 | + | 3.11737i | 0.813775 | + | 0.264412i | 0.686196 | − | 0.727417i | \(-0.259279\pi\) |
0.127579 | + | 0.991828i | \(0.459279\pi\) | |||||||
\(140\) | −2.42849 | − | 0.789064i | −0.205245 | − | 0.0666881i | ||||
\(141\) | 4.72647 | + | 12.2182i | 0.398040 | + | 1.02896i | ||||
\(142\) | 9.23994 | − | 1.96401i | 0.775398 | − | 0.164816i | ||||
\(143\) | −1.77002 | + | 8.32728i | −0.148016 | + | 0.696362i | ||||
\(144\) | −6.48310 | − | 3.69838i | −0.540258 | − | 0.308199i | ||||
\(145\) | 2.58374 | + | 2.32641i | 0.214568 | + | 0.193198i | ||||
\(146\) | −0.273566 | + | 2.60281i | −0.0226405 | + | 0.215410i | ||||
\(147\) | 7.62670 | + | 6.14335i | 0.629039 | + | 0.506695i | ||||
\(148\) | 5.36306 | − | 0.563680i | 0.440841 | − | 0.0463342i | ||||
\(149\) | −14.2926 | − | 8.25182i | −1.17089 | − | 0.676016i | −0.217003 | − | 0.976171i | \(-0.569628\pi\) |
−0.953890 | + | 0.300155i | \(0.902961\pi\) | |||||||
\(150\) | −16.7911 | + | 8.61035i | −1.37099 | + | 0.703033i | ||||
\(151\) | 5.96820 | + | 8.21452i | 0.485685 | + | 0.668488i | 0.979585 | − | 0.201031i | \(-0.0644291\pi\) |
−0.493900 | + | 0.869519i | \(0.664429\pi\) | |||||||
\(152\) | 4.83745 | − | 4.35566i | 0.392369 | − | 0.353291i | ||||
\(153\) | 2.59114 | + | 11.8873i | 0.209481 | + | 0.961031i | ||||
\(154\) | 2.17877i | 0.175570i | ||||||||
\(155\) | 4.84935 | + | 20.3813i | 0.389509 | + | 1.63707i | ||||
\(156\) | 0.271799 | − | 5.45653i | 0.0217613 | − | 0.436872i | ||||
\(157\) | 3.99077 | + | 12.2823i | 0.318498 | + | 0.980235i | 0.974291 | + | 0.225295i | \(0.0723344\pi\) |
−0.655793 | + | 0.754941i | \(0.727666\pi\) | |||||||
\(158\) | −3.63122 | − | 4.03287i | −0.288884 | − | 0.320838i | ||||
\(159\) | −12.8619 | + | 8.40007i | −1.02002 | + | 0.666169i | ||||
\(160\) | −6.00230 | − | 10.3963i | −0.474523 | − | 0.821898i | ||||
\(161\) | 0.754975 | − | 1.30766i | 0.0595004 | − | 0.103058i | ||||
\(162\) | 10.6584 | + | 1.00875i | 0.837404 | + | 0.0792546i | ||||
\(163\) | −10.5737 | − | 7.68227i | −0.828199 | − | 0.601722i | 0.0908502 | − | 0.995865i | \(-0.471042\pi\) |
−0.919049 | + | 0.394143i | \(0.871042\pi\) | |||||||
\(164\) | 2.14857 | + | 0.225824i | 0.167775 | + | 0.0176339i | ||||
\(165\) | −7.29455 | − | 7.25687i | −0.567880 | − | 0.564947i | ||||
\(166\) | −2.48534 | + | 5.58217i | −0.192900 | + | 0.433261i | ||||
\(167\) | −13.9748 | − | 2.97044i | −1.08140 | − | 0.229859i | −0.367443 | − | 0.930046i | \(-0.619767\pi\) |
−0.713960 | + | 0.700187i | \(0.753100\pi\) | |||||||
\(168\) | −0.982371 | − | 6.10017i | −0.0757916 | − | 0.470639i | ||||
\(169\) | −14.6873 | + | 6.53921i | −1.12979 | + | 0.503016i | ||||
\(170\) | 5.60945 | − | 17.2641i | 0.430225 | − | 1.32410i | ||||
\(171\) | −2.55301 | + | 5.81502i | −0.195234 | + | 0.444685i | ||||
\(172\) | −1.88051 | − | 4.22369i | −0.143387 | − | 0.322053i | ||||
\(173\) | −1.12821 | − | 5.30779i | −0.0857759 | − | 0.403544i | 0.914223 | − | 0.405212i | \(-0.132802\pi\) |
−0.999999 | + | 0.00166815i | \(0.999469\pi\) | |||||||
\(174\) | −0.487967 | + | 1.84016i | −0.0369927 | + | 0.139502i | ||||
\(175\) | −9.70646 | − | 4.32159i | −0.733739 | − | 0.326682i | ||||
\(176\) | −2.62829 | + | 2.91901i | −0.198114 | + | 0.220028i | ||||
\(177\) | 17.8416 | + | 2.77850i | 1.34106 | + | 0.208845i | ||||
\(178\) | 1.74215 | − | 2.39786i | 0.130579 | − | 0.179727i | ||||
\(179\) | −0.0625795 | − | 0.595405i | −0.00467741 | − | 0.0445026i | 0.991934 | − | 0.126754i | \(-0.0404558\pi\) |
−0.996612 | + | 0.0822510i | \(0.973789\pi\) | |||||||
\(180\) | 5.36205 | + | 3.85349i | 0.399664 | + | 0.287222i | ||||
\(181\) | 2.80488 | − | 1.61940i | 0.208485 | − | 0.120369i | −0.392122 | − | 0.919913i | \(-0.628259\pi\) |
0.600607 | + | 0.799544i | \(0.294926\pi\) | |||||||
\(182\) | −6.02038 | + | 4.37406i | −0.446260 | + | 0.324227i | ||||
\(183\) | 6.53315 | − | 5.31851i | 0.482944 | − | 0.393156i | ||||
\(184\) | 3.80631 | − | 1.23674i | 0.280605 | − | 0.0911740i | ||||
\(185\) | 34.6889 | 2.55038 | ||||||||
\(186\) | −8.71899 | + | 7.45513i | −0.639307 | + | 0.546637i | ||||
\(187\) | 6.40271 | 0.468212 | ||||||||
\(188\) | −4.20777 | + | 1.36719i | −0.306883 | + | 0.0997124i | ||||
\(189\) | 3.32235 | + | 5.02999i | 0.241665 | + | 0.365878i | ||||
\(190\) | 7.66582 | − | 5.56954i | 0.556137 | − | 0.404057i | ||||
\(191\) | −1.82620 | + | 1.05436i | −0.132139 | + | 0.0762907i | −0.564613 | − | 0.825356i | \(-0.690974\pi\) |
0.432473 | + | 0.901647i | \(0.357641\pi\) | |||||||
\(192\) | 8.24103 | − | 12.7623i | 0.594745 | − | 0.921039i | ||||
\(193\) | −0.379362 | − | 3.60939i | −0.0273071 | − | 0.259810i | −0.999655 | − | 0.0262719i | \(-0.991636\pi\) |
0.972348 | − | 0.233538i | \(-0.0750302\pi\) | |||||||
\(194\) | −7.47601 | + | 10.2898i | −0.536746 | + | 0.738768i | ||||
\(195\) | 5.40778 | − | 34.7251i | 0.387259 | − | 2.48672i | ||||
\(196\) | −2.21306 | + | 2.45785i | −0.158076 | + | 0.175561i | ||||
\(197\) | 2.19081 | + | 0.975409i | 0.156088 | + | 0.0694950i | 0.483294 | − | 0.875458i | \(-0.339440\pi\) |
−0.327205 | + | 0.944953i | \(0.606107\pi\) | |||||||
\(198\) | 1.71328 | − | 5.36735i | 0.121757 | − | 0.381441i | ||||
\(199\) | 2.00691 | + | 9.44178i | 0.142266 | + | 0.669310i | 0.990252 | + | 0.139290i | \(0.0444821\pi\) |
−0.847985 | + | 0.530020i | \(0.822185\pi\) | |||||||
\(200\) | −11.4546 | − | 25.7274i | −0.809960 | − | 1.81920i | ||||
\(201\) | −2.31623 | + | 6.08102i | −0.163375 | + | 0.428922i | ||||
\(202\) | −3.28102 | + | 10.0979i | −0.230852 | + | 0.710489i | ||||
\(203\) | −0.979263 | + | 0.435996i | −0.0687308 | + | 0.0306009i | ||||
\(204\) | −4.05658 | + | 0.653271i | −0.284017 | + | 0.0457381i | ||||
\(205\) | 13.5935 | + | 2.88939i | 0.949412 | + | 0.201804i | ||||
\(206\) | 6.66548 | − | 14.9709i | 0.464406 | − | 1.04307i | ||||
\(207\) | −2.88814 | + | 2.62770i | −0.200740 | + | 0.182638i | ||||
\(208\) | −13.3423 | − | 1.40233i | −0.925123 | − | 0.0972343i | ||||
\(209\) | 2.70386 | + | 1.96447i | 0.187030 | + | 0.135885i | ||||
\(210\) | −0.493973 | − | 8.98057i | −0.0340874 | − | 0.619718i | ||||
\(211\) | −2.15453 | + | 3.73176i | −0.148324 | + | 0.256905i | −0.930608 | − | 0.366017i | \(-0.880721\pi\) |
0.782284 | + | 0.622922i | \(0.214055\pi\) | |||||||
\(212\) | −2.59403 | − | 4.49298i | −0.178158 | − | 0.308579i | ||||
\(213\) | −7.52098 | − | 11.5159i | −0.515329 | − | 0.789057i | ||||
\(214\) | −10.0025 | − | 11.1089i | −0.683754 | − | 0.759386i | ||||
\(215\) | −9.19044 | − | 28.2853i | −0.626783 | − | 1.92904i | ||||
\(216\) | −2.37683 | + | 15.8001i | −0.161723 | + | 1.07506i | ||||
\(217\) | −6.34871 | − | 1.19001i | −0.430979 | − | 0.0807833i | ||||
\(218\) | 12.0172i | 0.813905i | ||||||||
\(219\) | 3.67827 | − | 0.995804i | 0.248554 | − | 0.0672902i | ||||
\(220\) | 2.58239 | − | 2.32520i | 0.174105 | − | 0.156765i | ||||
\(221\) | 12.8540 | + | 17.6920i | 0.864651 | + | 1.19009i | ||||
\(222\) | 8.66711 | + | 16.9018i | 0.581698 | + | 1.13438i | ||||
\(223\) | 5.90105 | + | 3.40697i | 0.395163 | + | 0.228148i | 0.684395 | − | 0.729111i | \(-0.260066\pi\) |
−0.289232 | + | 0.957259i | \(0.593400\pi\) | |||||||
\(224\) | 3.68091 | − | 0.386879i | 0.245941 | − | 0.0258495i | ||||
\(225\) | 20.5134 | + | 18.2788i | 1.36756 | + | 1.21859i | ||||
\(226\) | −0.762259 | + | 7.25241i | −0.0507047 | + | 0.482423i | ||||
\(227\) | 4.05339 | + | 3.64969i | 0.269033 | + | 0.242239i | 0.792594 | − | 0.609750i | \(-0.208730\pi\) |
−0.523561 | + | 0.851988i | \(0.675397\pi\) | |||||||
\(228\) | −1.91353 | − | 0.968759i | −0.126727 | − | 0.0641576i | ||||
\(229\) | 4.22707 | − | 19.8868i | 0.279333 | − | 1.31416i | −0.584917 | − | 0.811093i | \(-0.698873\pi\) |
0.864250 | − | 0.503063i | \(-0.167794\pi\) | |||||||
\(230\) | 5.69849 | − | 1.21125i | 0.375747 | − | 0.0798675i | ||||
\(231\) | 2.95872 | − | 1.14455i | 0.194670 | − | 0.0753056i | ||||
\(232\) | −2.70216 | − | 0.877984i | −0.177405 | − | 0.0576425i | ||||
\(233\) | 8.76839 | + | 2.84902i | 0.574437 | + | 0.186646i | 0.581807 | − | 0.813327i | \(-0.302346\pi\) |
−0.00737018 | + | 0.999973i | \(0.502346\pi\) | |||||||
\(234\) | 18.2706 | − | 6.04127i | 1.19439 | − | 0.394930i | ||||
\(235\) | −27.8383 | + | 5.91721i | −1.81597 | + | 0.385996i | ||||
\(236\) | −1.26787 | + | 5.96484i | −0.0825311 | + | 0.388278i | ||||
\(237\) | −3.56901 | + | 7.04965i | −0.231832 | + | 0.457924i | ||||
\(238\) | 4.15915 | + | 3.74492i | 0.269598 | + | 0.242747i | ||||
\(239\) | 0.458427 | − | 4.36164i | 0.0296532 | − | 0.282131i | −0.969640 | − | 0.244537i | \(-0.921364\pi\) |
0.999293 | − | 0.0375939i | \(-0.0119693\pi\) | |||||||
\(240\) | 10.1716 | − | 12.6276i | 0.656574 | − | 0.815108i | ||||
\(241\) | 10.1009 | − | 1.06165i | 0.650657 | − | 0.0683868i | 0.226551 | − | 0.973999i | \(-0.427255\pi\) |
0.424106 | + | 0.905613i | \(0.360588\pi\) | |||||||
\(242\) | 8.76428 | + | 5.06006i | 0.563389 | + | 0.325273i | ||||
\(243\) | −4.22919 | − | 15.0038i | −0.271303 | − | 0.962494i | ||||
\(244\) | 1.67228 | + | 2.30169i | 0.107057 | + | 0.147351i | ||||
\(245\) | −15.8106 | + | 14.2359i | −1.01010 | + | 0.909500i | ||||
\(246\) | 1.98855 | + | 7.34523i | 0.126785 | + | 0.468315i | ||||
\(247\) | 11.4152i | 0.726329i | ||||||||
\(248\) | −10.3947 | − | 13.6038i | −0.660067 | − | 0.863844i | ||||
\(249\) | 8.88606 | + | 0.442629i | 0.563131 | + | 0.0280505i | ||||
\(250\) | −5.75204 | − | 17.7029i | −0.363791 | − | 1.11963i | ||||
\(251\) | −2.88906 | − | 3.20863i | −0.182356 | − | 0.202527i | 0.645035 | − | 0.764153i | \(-0.276843\pi\) |
−0.827391 | + | 0.561626i | \(0.810176\pi\) | |||||||
\(252\) | −1.75779 | + | 1.02703i | −0.110730 | + | 0.0646970i | ||||
\(253\) | 1.02743 | + | 1.77956i | 0.0645938 | + | 0.111880i | ||||
\(254\) | −10.5046 | + | 18.1945i | −0.659116 | + | 1.14162i | ||||
\(255\) | −26.3910 | + | 1.45163i | −1.65267 | + | 0.0909045i | ||||
\(256\) | 10.2913 | + | 7.47709i | 0.643208 | + | 0.467318i | ||||
\(257\) | −27.4716 | − | 2.88738i | −1.71363 | − | 0.180110i | −0.803745 | − | 0.594974i | \(-0.797162\pi\) |
−0.909883 | + | 0.414864i | \(0.863829\pi\) | |||||||
\(258\) | 11.4855 | − | 11.5451i | 0.715054 | − | 0.718767i | ||||
\(259\) | −4.35008 | + | 9.77044i | −0.270301 | + | 0.607106i | ||||
\(260\) | 11.6094 | + | 2.46764i | 0.719981 | + | 0.153037i | ||||
\(261\) | 2.75524 | − | 0.304022i | 0.170545 | − | 0.0188185i | ||||
\(262\) | 2.93514 | − | 1.30681i | 0.181333 | − | 0.0807348i | ||||
\(263\) | −5.83384 | + | 17.9547i | −0.359730 | + | 1.10713i | 0.593486 | + | 0.804844i | \(0.297751\pi\) |
−0.953216 | + | 0.302290i | \(0.902249\pi\) | |||||||
\(264\) | 7.85782 | + | 2.99301i | 0.483616 | + | 0.184207i | ||||
\(265\) | −13.5741 | − | 30.4878i | −0.833848 | − | 1.87285i | ||||
\(266\) | 0.607398 | + | 2.85758i | 0.0372420 | + | 0.175210i | ||||
\(267\) | −4.17142 | − | 1.10616i | −0.255287 | − | 0.0676959i | ||||
\(268\) | −2.00762 | − | 0.893849i | −0.122635 | − | 0.0546005i | ||||
\(269\) | 18.5110 | − | 20.5586i | 1.12864 | − | 1.25348i | 0.164991 | − | 0.986295i | \(-0.447240\pi\) |
0.963646 | − | 0.267183i | \(-0.0860930\pi\) | |||||||
\(270\) | −5.84499 | + | 22.5119i | −0.355715 | + | 1.37003i | ||||
\(271\) | −2.84575 | + | 3.91684i | −0.172867 | + | 0.237931i | −0.886656 | − | 0.462430i | \(-0.846978\pi\) |
0.713789 | + | 0.700361i | \(0.246978\pi\) | |||||||
\(272\) | 1.05467 | + | 10.0345i | 0.0639487 | + | 0.608431i | ||||
\(273\) | 9.10249 | + | 5.87777i | 0.550908 | + | 0.355739i | ||||
\(274\) | 1.54415 | − | 0.891515i | 0.0932855 | − | 0.0538584i | ||||
\(275\) | 11.6979 | − | 8.49900i | 0.705408 | − | 0.512509i | ||||
\(276\) | −0.832519 | − | 1.02265i | −0.0501118 | − | 0.0615563i | ||||
\(277\) | −26.7266 | + | 8.68400i | −1.60585 | + | 0.521771i | −0.968544 | − | 0.248843i | \(-0.919950\pi\) |
−0.637302 | + | 0.770614i | \(0.719950\pi\) | |||||||
\(278\) | −12.0003 | −0.719729 | ||||||||
\(279\) | 14.7041 | + | 7.92389i | 0.880314 | + | 0.474391i | ||||
\(280\) | 13.4230 | 0.802180 | ||||||||
\(281\) | −3.30079 | + | 1.07249i | −0.196908 | + | 0.0639794i | −0.405811 | − | 0.913957i | \(-0.633011\pi\) |
0.208903 | + | 0.977936i | \(0.433011\pi\) | |||||||
\(282\) | −9.83858 | − | 12.0855i | −0.585879 | − | 0.719682i | ||||
\(283\) | −18.6877 | + | 13.5774i | −1.11087 | + | 0.807093i | −0.982800 | − | 0.184672i | \(-0.940878\pi\) |
−0.128068 | + | 0.991765i | \(0.540878\pi\) | |||||||
\(284\) | 4.02278 | − | 2.32255i | 0.238708 | − | 0.137818i | ||||
\(285\) | −11.5903 | − | 7.48424i | −0.686551 | − | 0.443328i | ||||
\(286\) | −1.05857 | − | 10.0716i | −0.0625945 | − | 0.595547i | ||||
\(287\) | −2.51849 | + | 3.46640i | −0.148662 | + | 0.204615i | ||||
\(288\) | −9.37207 | − | 1.94142i | −0.552255 | − | 0.114399i | ||||
\(289\) | −0.370106 | + | 0.411044i | −0.0217709 | + | 0.0241791i | ||||
\(290\) | −3.77826 | − | 1.68219i | −0.221867 | − | 0.0987816i | ||||
\(291\) | 17.9007 | + | 4.74683i | 1.04936 | + | 0.278264i | ||||
\(292\) | 0.267570 | + | 1.25882i | 0.0156584 | + | 0.0736668i | ||||
\(293\) | 4.71099 | + | 10.5811i | 0.275219 | + | 0.618152i | 0.997282 | − | 0.0736750i | \(-0.0234728\pi\) |
−0.722063 | + | 0.691827i | \(0.756806\pi\) | |||||||
\(294\) | −10.8866 | − | 4.14668i | −0.634921 | − | 0.241839i | ||||
\(295\) | −12.1219 | + | 37.3073i | −0.705762 | + | 2.17211i | ||||
\(296\) | −25.8970 | + | 11.5301i | −1.50523 | + | 0.670172i | ||||
\(297\) | −8.18876 | + | 0.492969i | −0.475160 | + | 0.0286049i | ||||
\(298\) | 19.2031 | + | 4.08174i | 1.11240 | + | 0.236449i | ||||
\(299\) | −2.85463 | + | 6.41160i | −0.165087 | + | 0.370792i | ||||
\(300\) | −6.54429 | + | 6.57827i | −0.377835 | + | 0.379797i | ||||
\(301\) | 9.11931 | + | 0.958478i | 0.525628 | + | 0.0552458i | ||||
\(302\) | −9.77166 | − | 7.09953i | −0.562296 | − | 0.408532i | ||||
\(303\) | 15.4364 | − | 0.849072i | 0.886796 | − | 0.0487779i | ||||
\(304\) | −2.63339 | + | 4.56116i | −0.151035 | + | 0.261601i | ||||
\(305\) | 9.15065 | + | 15.8494i | 0.523965 | + | 0.907534i | ||||
\(306\) | −7.30116 | − | 12.4961i | −0.417379 | − | 0.714353i | ||||
\(307\) | −12.5264 | − | 13.9120i | −0.714919 | − | 0.793998i | 0.270757 | − | 0.962648i | \(-0.412726\pi\) |
−0.985676 | + | 0.168650i | \(0.946059\pi\) | |||||||
\(308\) | 0.331074 | + | 1.01894i | 0.0188647 | + | 0.0580595i | ||||
\(309\) | −23.8317 | − | 1.18709i | −1.35574 | − | 0.0675314i | ||||
\(310\) | −12.9783 | − | 21.2756i | −0.737119 | − | 1.20837i | ||||
\(311\) | − | 23.1382i | − | 1.31205i | −0.754740 | − | 0.656024i | \(-0.772237\pi\) | ||
0.754740 | − | 0.656024i | \(-0.227763\pi\) | |||||||
\(312\) | 7.50493 | + | 27.7215i | 0.424883 | + | 1.56942i | ||||
\(313\) | −2.87354 | + | 2.58735i | −0.162422 | + | 0.146245i | −0.746334 | − | 0.665571i | \(-0.768188\pi\) |
0.583912 | + | 0.811817i | \(0.301521\pi\) | |||||||
\(314\) | −9.02981 | − | 12.4285i | −0.509582 | − | 0.701379i | ||||
\(315\) | −11.9359 | + | 5.38845i | −0.672513 | + | 0.303605i | ||||
\(316\) | −2.31102 | − | 1.33427i | −0.130005 | − | 0.0750583i | ||||
\(317\) | 16.1318 | − | 1.69553i | 0.906055 | − | 0.0952302i | 0.359974 | − | 0.932963i | \(-0.382786\pi\) |
0.546081 | + | 0.837732i | \(0.316119\pi\) | |||||||
\(318\) | 11.4634 | − | 14.2313i | 0.642835 | − | 0.798052i | ||||
\(319\) | 0.152483 | − | 1.45078i | 0.00853743 | − | 0.0812282i | ||||
\(320\) | 24.5263 | + | 22.0836i | 1.37106 | + | 1.23451i | ||||
\(321\) | −9.83112 | + | 19.4188i | −0.548720 | + | 1.08385i | ||||
\(322\) | −0.373446 | + | 1.75693i | −0.0208113 | + | 0.0979096i | ||||
\(323\) | 8.39753 | − | 1.78495i | 0.467251 | − | 0.0993172i | ||||
\(324\) | 5.13788 | − | 1.14783i | 0.285438 | − | 0.0637686i | ||||
\(325\) | 46.9689 | + | 15.2611i | 2.60537 | + | 0.846535i | ||||
\(326\) | 14.7864 | + | 4.80440i | 0.818945 | + | 0.266091i | ||||
\(327\) | 16.3190 | − | 6.31282i | 0.902445 | − | 0.349100i | ||||
\(328\) | −11.1086 | + | 2.36121i | −0.613371 | + | 0.130376i | ||||
\(329\) | 1.82436 | − | 8.58294i | 0.100580 | − | 0.473193i | ||||
\(330\) | 10.9202 | + | 5.52855i | 0.601137 | + | 0.304336i | ||||
\(331\) | −6.97956 | − | 6.28442i | −0.383631 | − | 0.345423i | 0.454641 | − | 0.890675i | \(-0.349767\pi\) |
−0.838272 | + | 0.545252i | \(0.816434\pi\) | |||||||
\(332\) | −0.314079 | + | 2.98826i | −0.0172373 | + | 0.164002i | ||||
\(333\) | 18.3993 | − | 20.6486i | 1.00828 | − | 1.13153i | ||||
\(334\) | 16.9022 | − | 1.77649i | 0.924845 | − | 0.0972051i | ||||
\(335\) | −12.2426 | − | 7.06827i | −0.668885 | − | 0.386181i | ||||
\(336\) | 2.28113 | + | 4.44846i | 0.124446 | + | 0.242683i | ||||
\(337\) | −6.47827 | − | 8.91658i | −0.352894 | − | 0.485717i | 0.595258 | − | 0.803535i | \(-0.297050\pi\) |
−0.948152 | + | 0.317818i | \(0.897050\pi\) | |||||||
\(338\) | 14.2125 | − | 12.7970i | 0.773060 | − | 0.696066i | ||||
\(339\) | 10.2490 | − | 2.77469i | 0.556651 | − | 0.150700i | ||||
\(340\) | − | 8.92624i | − | 0.484094i | ||||||
\(341\) | 5.72240 | − | 6.67257i | 0.309885 | − | 0.361340i | ||||
\(342\) | 0.750753 | − | 7.51722i | 0.0405961 | − | 0.406485i | ||||
\(343\) | −4.53646 | − | 13.9618i | −0.244946 | − | 0.753866i | ||||
\(344\) | 16.2627 | + | 18.0616i | 0.876827 | + | 0.973815i | ||||
\(345\) | −4.63837 | − | 7.10213i | −0.249721 | − | 0.382366i | ||||
\(346\) | 3.22750 | + | 5.59019i | 0.173511 | + | 0.300530i | ||||
\(347\) | 12.1402 | − | 21.0275i | 0.651722 | − | 1.12882i | −0.330983 | − | 0.943637i | \(-0.607380\pi\) |
0.982705 | − | 0.185179i | \(-0.0592865\pi\) | |||||||
\(348\) | 0.0514147 | + | 0.934734i | 0.00275612 | + | 0.0501070i | ||||
\(349\) | 14.6202 | + | 10.6222i | 0.782602 | + | 0.568594i | 0.905759 | − | 0.423793i | \(-0.139302\pi\) |
−0.123156 | + | 0.992387i | \(0.539302\pi\) | |||||||
\(350\) | 12.5699 | + | 1.32115i | 0.671888 | + | 0.0706183i | ||||
\(351\) | −17.8018 | − | 21.6375i | −0.950189 | − | 1.15493i | ||||
\(352\) | −2.04867 | + | 4.60140i | −0.109195 | + | 0.245255i | ||||
\(353\) | −19.9436 | − | 4.23914i | −1.06149 | − | 0.225627i | −0.356102 | − | 0.934447i | \(-0.615894\pi\) |
−0.705389 | + | 0.708820i | \(0.749228\pi\) | |||||||
\(354\) | −21.2063 | + | 3.41506i | −1.12710 | + | 0.181508i | ||||
\(355\) | 27.2972 | − | 12.1535i | 1.44879 | − | 0.645041i | ||||
\(356\) | 0.450380 | − | 1.38613i | 0.0238701 | − | 0.0734646i | ||||
\(357\) | 2.90064 | − | 7.61531i | 0.153518 | − | 0.403045i | ||||
\(358\) | 0.289666 | + | 0.650600i | 0.0153093 | + | 0.0343853i | ||||
\(359\) | −2.68755 | − | 12.6439i | −0.141843 | − | 0.667321i | −0.990402 | − | 0.138219i | \(-0.955862\pi\) |
0.848558 | − | 0.529102i | \(-0.177471\pi\) | |||||||
\(360\) | −33.0674 | − | 10.5552i | −1.74280 | − | 0.556309i | ||||
\(361\) | −13.2634 | − | 5.90526i | −0.698075 | − | 0.310803i | ||||
\(362\) | −2.57798 | + | 2.86314i | −0.135496 | + | 0.150483i | ||||
\(363\) | 2.26742 | − | 14.5598i | 0.119009 | − | 0.764194i | ||||
\(364\) | −2.15088 | + | 2.96043i | −0.112737 | + | 0.155169i | ||||
\(365\) | 0.865338 | + | 8.23314i | 0.0452939 | + | 0.430942i | ||||
\(366\) | −5.43615 | + | 8.41858i | −0.284152 | + | 0.440046i | ||||
\(367\) | 25.2920 | − | 14.6023i | 1.32023 | − | 0.762236i | 0.336466 | − | 0.941695i | \(-0.390768\pi\) |
0.983765 | + | 0.179459i | \(0.0574348\pi\) | |||||||
\(368\) | −2.61973 | + | 1.90335i | −0.136563 | + | 0.0992188i | ||||
\(369\) | 8.93005 | − | 6.55898i | 0.464880 | − | 0.341447i | ||||
\(370\) | −39.2449 | + | 12.7514i | −2.04024 | + | 0.662915i | ||||
\(371\) | 10.2894 | 0.534199 | ||||||||
\(372\) | −2.94475 | + | 4.81142i | −0.152678 | + | 0.249460i | ||||
\(373\) | −26.5286 | −1.37360 | −0.686800 | − | 0.726847i | \(-0.740985\pi\) | ||||
−0.686800 | + | 0.726847i | \(0.740985\pi\) | |||||||
\(374\) | −7.24363 | + | 2.35360i | −0.374559 | + | 0.121702i | ||||
\(375\) | −21.0186 | + | 17.1108i | −1.08539 | + | 0.883598i | ||||
\(376\) | 18.8159 | − | 13.6705i | 0.970354 | − | 0.705004i | ||||
\(377\) | 4.31493 | − | 2.49122i | 0.222230 | − | 0.128305i | ||||
\(378\) | −5.60769 | − | 4.46934i | −0.288429 | − | 0.229878i | ||||
\(379\) | −0.781797 | − | 7.43830i | −0.0401582 | − | 0.382080i | −0.996080 | − | 0.0884581i | \(-0.971806\pi\) |
0.955922 | − | 0.293622i | \(-0.0948606\pi\) | |||||||
\(380\) | 2.73874 | − | 3.76955i | 0.140494 | − | 0.193374i | ||||
\(381\) | 30.2259 | + | 4.70712i | 1.54852 | + | 0.241153i | ||||
\(382\) | 1.67848 | − | 1.86414i | 0.0858784 | − | 0.0953776i | ||||
\(383\) | −4.60563 | − | 2.05056i | −0.235336 | − | 0.104779i | 0.285680 | − | 0.958325i | \(-0.407780\pi\) |
−0.521017 | + | 0.853546i | \(0.674447\pi\) | |||||||
\(384\) | −1.79931 | + | 6.78535i | −0.0918206 | + | 0.346263i | ||||
\(385\) | 1.43289 | + | 6.74123i | 0.0730270 | + | 0.343565i | ||||
\(386\) | 1.75598 | + | 3.94399i | 0.0893769 | + | 0.200744i | ||||
\(387\) | −21.7115 | − | 9.53217i | −1.10366 | − | 0.484547i | ||||
\(388\) | −1.93270 | + | 5.94824i | −0.0981181 | + | 0.301976i | ||||
\(389\) | −9.56419 | + | 4.25825i | −0.484924 | + | 0.215902i | −0.634612 | − | 0.772831i | \(-0.718840\pi\) |
0.149688 | + | 0.988733i | \(0.452173\pi\) | |||||||
\(390\) | 6.64671 | + | 41.2737i | 0.336569 | + | 2.08998i | ||||
\(391\) | 5.16304 | + | 1.09744i | 0.261106 | + | 0.0554999i | ||||
\(392\) | 7.07158 | − | 15.8830i | 0.357169 | − | 0.802214i | ||||
\(393\) | −3.31649 | − | 3.29936i | −0.167295 | − | 0.166431i | ||||
\(394\) | −2.83710 | − | 0.298191i | −0.142931 | − | 0.0150226i | ||||
\(395\) | −13.8874 | − | 10.0898i | −0.698753 | − | 0.507674i | ||||
\(396\) | −0.0143478 | − | 2.77048i | −0.000721006 | − | 0.139222i | ||||
\(397\) | 7.43511 | − | 12.8780i | 0.373157 | − | 0.646328i | −0.616892 | − | 0.787048i | \(-0.711608\pi\) |
0.990049 | + | 0.140720i | \(0.0449418\pi\) | |||||||
\(398\) | −5.74124 | − | 9.94411i | −0.287782 | − | 0.498453i | ||||
\(399\) | 3.56146 | − | 2.32597i | 0.178296 | − | 0.116444i | ||||
\(400\) | 15.2468 | + | 16.9333i | 0.762339 | + | 0.846663i | ||||
\(401\) | 10.9221 | + | 33.6149i | 0.545426 | + | 1.67865i | 0.719976 | + | 0.693999i | \(0.244153\pi\) |
−0.174550 | + | 0.984648i | \(0.555847\pi\) | |||||||
\(402\) | 0.385100 | − | 7.73112i | 0.0192070 | − | 0.385593i | ||||
\(403\) | 29.9258 | + | 2.41641i | 1.49071 | + | 0.120370i | ||||
\(404\) | 5.22105i | 0.259757i | ||||||||
\(405\) | 33.6411 | − | 3.88851i | 1.67164 | − | 0.193221i | ||||
\(406\) | 0.947609 | − | 0.853231i | 0.0470290 | − | 0.0423451i | ||||
\(407\) | −8.55502 | − | 11.7750i | −0.424057 | − | 0.583664i | ||||
\(408\) | 19.2197 | − | 9.85570i | 0.951517 | − | 0.487930i | ||||
\(409\) | −5.95500 | − | 3.43812i | −0.294456 | − | 0.170004i | 0.345494 | − | 0.938421i | \(-0.387711\pi\) |
−0.639950 | + | 0.768417i | \(0.721045\pi\) | |||||||
\(410\) | −16.4410 | + | 1.72802i | −0.811963 | + | 0.0853407i | ||||
\(411\) | −2.02183 | − | 1.62859i | −0.0997294 | − | 0.0803326i | ||||
\(412\) | 0.842333 | − | 8.01426i | 0.0414988 | − | 0.394834i | ||||
\(413\) | −8.98781 | − | 8.09266i | −0.442261 | − | 0.398214i | ||||
\(414\) | 2.30154 | − | 4.03449i | 0.113114 | − | 0.198284i | ||||
\(415\) | −4.01861 | + | 18.9061i | −0.197266 | + | 0.928062i | ||||
\(416\) | −16.8275 | + | 3.57679i | −0.825035 | + | 0.175367i | ||||
\(417\) | 6.30396 | + | 16.2961i | 0.308706 | + | 0.798025i | ||||
\(418\) | −3.78111 | − | 1.22856i | −0.184940 | − | 0.0600907i | ||||
\(419\) | −27.2477 | − | 8.85330i | −1.33113 | − | 0.432512i | −0.444830 | − | 0.895615i | \(-0.646736\pi\) |
−0.886305 | + | 0.463103i | \(0.846736\pi\) | |||||||
\(420\) | −1.59565 | − | 4.12486i | −0.0778598 | − | 0.201273i | ||||
\(421\) | 7.34131 | − | 1.56044i | 0.357793 | − | 0.0760513i | −0.0255081 | − | 0.999675i | \(-0.508120\pi\) |
0.383302 | + | 0.923623i | \(0.374787\pi\) | |||||||
\(422\) | 1.06573 | − | 5.01387i | 0.0518790 | − | 0.244072i | ||||
\(423\) | −11.2435 | + | 19.7093i | −0.546677 | + | 0.958299i | ||||
\(424\) | 20.2674 | + | 18.2489i | 0.984273 | + | 0.886243i | ||||
\(425\) | 3.88243 | − | 36.9389i | 0.188326 | − | 1.79180i | ||||
\(426\) | 12.7420 | + | 10.2637i | 0.617350 | + | 0.497279i | ||||
\(427\) | −5.61164 | + | 0.589808i | −0.271566 | + | 0.0285428i | ||||
\(428\) | −6.36587 | − | 3.67534i | −0.307706 | − | 0.177654i | ||||
\(429\) | −13.1209 | + | 6.72831i | −0.633485 | + | 0.324846i | ||||
\(430\) | 20.7950 | + | 28.6219i | 1.00282 | + | 1.38027i | ||||
\(431\) | −28.3644 | + | 25.5394i | −1.36627 | + | 1.23019i | −0.419706 | + | 0.907660i | \(0.637867\pi\) |
−0.946559 | + | 0.322531i | \(0.895466\pi\) | |||||||
\(432\) | −2.12147 | − | 12.7525i | −0.102069 | − | 0.613553i | ||||
\(433\) | 12.8928i | 0.619589i | 0.950804 | + | 0.309794i | \(0.100260\pi\) | ||||
−0.950804 | + | 0.309794i | \(0.899740\pi\) | |||||||
\(434\) | 7.61998 | − | 0.987443i | 0.365771 | − | 0.0473988i | ||||
\(435\) | −0.299591 | + | 6.01448i | −0.0143643 | + | 0.288372i | ||||
\(436\) | 1.82606 | + | 5.62004i | 0.0874525 | + | 0.269151i | ||||
\(437\) | 1.84364 | + | 2.04757i | 0.0881931 | + | 0.0979484i | ||||
\(438\) | −3.79531 | + | 2.47870i | −0.181347 | + | 0.118437i | ||||
\(439\) | −6.69314 | − | 11.5929i | −0.319446 | − | 0.553297i | 0.660926 | − | 0.750451i | \(-0.270164\pi\) |
−0.980373 | + | 0.197154i | \(0.936830\pi\) | |||||||
\(440\) | −9.13355 | + | 15.8198i | −0.435425 | + | 0.754178i | ||||
\(441\) | 0.0878441 | + | 16.9621i | 0.00418305 | + | 0.807721i | ||||
\(442\) | −21.0457 | − | 15.2906i | −1.00104 | − | 0.727298i | ||||
\(443\) | 36.1618 | + | 3.80076i | 1.71810 | + | 0.180580i | 0.911719 | − | 0.410815i | \(-0.134756\pi\) |
0.806382 | + | 0.591395i | \(0.201422\pi\) | |||||||
\(444\) | 6.62164 | + | 6.58743i | 0.314249 | + | 0.312626i | ||||
\(445\) | 3.81331 | − | 8.56484i | 0.180768 | − | 0.406013i | ||||
\(446\) | −7.92847 | − | 1.68525i | −0.375424 | − | 0.0797988i | ||||
\(447\) | −4.54479 | − | 28.2215i | −0.214961 | − | 1.33483i | ||||
\(448\) | −9.29569 | + | 4.13871i | −0.439180 | + | 0.195536i | ||||
\(449\) | −0.663659 | + | 2.04253i | −0.0313200 | + | 0.0963931i | −0.965495 | − | 0.260423i | \(-0.916138\pi\) |
0.934175 | + | 0.356816i | \(0.116138\pi\) | |||||||
\(450\) | −29.9267 | − | 13.1390i | −1.41076 | − | 0.619377i | ||||
\(451\) | −2.37166 | − | 5.32684i | −0.111677 | − | 0.250831i | ||||
\(452\) | 0.745552 | + | 3.50754i | 0.0350678 | + | 0.164981i | ||||
\(453\) | −4.50778 | + | 16.9992i | −0.211794 | + | 0.798692i | ||||
\(454\) | −5.92737 | − | 2.63903i | −0.278185 | − | 0.123856i | ||||
\(455\) | −15.7507 | + | 17.4929i | −0.738405 | + | 0.820082i | ||||
\(456\) | 11.1404 | + | 1.73491i | 0.521697 | + | 0.0812444i | ||||
\(457\) | −22.6609 | + | 31.1900i | −1.06003 | + | 1.45901i | −0.180254 | + | 0.983620i | \(0.557692\pi\) |
−0.879777 | + | 0.475387i | \(0.842308\pi\) | |||||||
\(458\) | 2.52802 | + | 24.0525i | 0.118127 | + | 1.12390i | ||||
\(459\) | −13.1340 | + | 16.4792i | −0.613041 | + | 0.769184i | ||||
\(460\) | 2.48094 | − | 1.43237i | 0.115675 | − | 0.0667848i | ||||
\(461\) | −4.48062 | + | 3.25536i | −0.208683 | + | 0.151617i | −0.687218 | − | 0.726451i | \(-0.741168\pi\) |
0.478534 | + | 0.878069i | \(0.341168\pi\) | |||||||
\(462\) | −2.92659 | + | 2.38248i | −0.136157 | + | 0.110843i | ||||
\(463\) | 30.0642 | − | 9.76847i | 1.39720 | − | 0.453979i | 0.488918 | − | 0.872330i | \(-0.337392\pi\) |
0.908286 | + | 0.418350i | \(0.137392\pi\) | |||||||
\(464\) | 2.29883 | 0.106720 | ||||||||
\(465\) | −22.0741 | + | 28.8007i | −1.02366 | + | 1.33560i | ||||
\(466\) | −10.9673 | −0.508051 | ||||||||
\(467\) | 13.6624 | − | 4.43919i | 0.632222 | − | 0.205421i | 0.0246628 | − | 0.999696i | \(-0.492149\pi\) |
0.607559 | + | 0.794274i | \(0.292149\pi\) | |||||||
\(468\) | 7.62658 | − | 5.60161i | 0.352539 | − | 0.258934i | ||||
\(469\) | 3.52610 | − | 2.56186i | 0.162820 | − | 0.118296i | ||||
\(470\) | 29.3194 | − | 16.9276i | 1.35240 | − | 0.780810i | ||||
\(471\) | −12.1341 | + | 18.7912i | −0.559109 | + | 0.865852i | ||||
\(472\) | −3.35081 | − | 31.8808i | −0.154234 | − | 1.46743i | ||||
\(473\) | −7.33474 | + | 10.0954i | −0.337252 | + | 0.464187i | ||||
\(474\) | 1.44635 | − | 9.28749i | 0.0664331 | − | 0.426588i | ||||
\(475\) | 12.9731 | − | 14.4081i | 0.595246 | − | 0.661088i | ||||
\(476\) | 2.51416 | + | 1.11938i | 0.115236 | + | 0.0513065i | ||||
\(477\) | −25.3477 | − | 8.09109i | −1.16059 | − | 0.370465i | ||||
\(478\) | 1.08468 | + | 5.10301i | 0.0496120 | + | 0.233406i | ||||
\(479\) | 4.68489 | + | 10.5224i | 0.214058 | + | 0.480783i | 0.988379 | − | 0.152011i | \(-0.0485749\pi\) |
−0.774321 | + | 0.632794i | \(0.781908\pi\) | |||||||
\(480\) | 7.40110 | − | 19.4308i | 0.337812 | − | 0.886889i | ||||
\(481\) | 15.3617 | − | 47.2785i | 0.700434 | − | 2.15571i | ||||
\(482\) | −11.0373 | + | 4.91412i | −0.502735 | + | 0.223832i | ||||
\(483\) | 2.58204 | − | 0.415812i | 0.117487 | − | 0.0189201i | ||||
\(484\) | 4.86767 | + | 1.03466i | 0.221258 | + | 0.0470298i | ||||
\(485\) | −16.3639 | + | 36.7540i | −0.743049 | + | 1.66891i | ||||
\(486\) | 10.3000 | + | 15.4197i | 0.467215 | + | 0.699454i | ||||
\(487\) | 6.00968 | + | 0.631643i | 0.272325 | + | 0.0286225i | 0.239706 | − | 0.970845i | \(-0.422949\pi\) |
0.0326182 | + | 0.999468i | \(0.489615\pi\) | |||||||
\(488\) | −12.0995 | − | 8.79082i | −0.547720 | − | 0.397942i | ||||
\(489\) | −1.24330 | − | 22.6035i | −0.0562238 | − | 1.02217i | ||||
\(490\) | 12.6541 | − | 21.9175i | 0.571653 | − | 0.990133i | ||||
\(491\) | 19.6959 | + | 34.1143i | 0.888864 | + | 1.53956i | 0.841220 | + | 0.540693i | \(0.181838\pi\) |
0.0476440 | + | 0.998864i | \(0.484829\pi\) | |||||||
\(492\) | 2.04612 | + | 3.13296i | 0.0922462 | + | 0.141245i | ||||
\(493\) | −2.50737 | − | 2.78472i | −0.112926 | − | 0.125417i | ||||
\(494\) | −4.19614 | − | 12.9144i | −0.188793 | − | 0.581047i | ||||
\(495\) | 1.77108 | − | 17.7336i | 0.0796039 | − | 0.797067i | ||||
\(496\) | 11.4000 | + | 7.86919i | 0.511877 | + | 0.353337i | ||||
\(497\) | 9.21259i | 0.413241i | ||||||||
\(498\) | −10.2159 | + | 2.76570i | −0.457783 | + | 0.123934i | ||||
\(499\) | −1.64665 | + | 1.48265i | −0.0737142 | + | 0.0663726i | −0.705164 | − | 0.709044i | \(-0.749127\pi\) |
0.631450 | + | 0.775417i | \(0.282460\pi\) | |||||||
\(500\) | −5.38008 | − | 7.40505i | −0.240605 | − | 0.331164i | ||||
\(501\) | −11.2914 | − | 22.0195i | −0.504464 | − | 0.983760i | ||||
\(502\) | 4.44798 | + | 2.56804i | 0.198523 | + | 0.114617i | ||||
\(503\) | 32.0705 | − | 3.37075i | 1.42995 | − | 0.150294i | 0.642320 | − | 0.766437i | \(-0.277972\pi\) |
0.787635 | + | 0.616143i | \(0.211306\pi\) | |||||||
\(504\) | 7.11971 | − | 7.99007i | 0.317137 | − | 0.355906i | ||||
\(505\) | −3.51063 | + | 33.4014i | −0.156221 | + | 1.48634i | ||||
\(506\) | −1.81652 | − | 1.63560i | −0.0807543 | − | 0.0727115i | ||||
\(507\) | −24.8442 | − | 12.5778i | −1.10337 | − | 0.558600i | ||||
\(508\) | −2.14792 | + | 10.1052i | −0.0952987 | + | 0.448345i | ||||
\(509\) | 5.32357 | − | 1.13156i | 0.235963 | − | 0.0501555i | −0.0884121 | − | 0.996084i | \(-0.528179\pi\) |
0.324375 | + | 0.945928i | \(0.394846\pi\) | |||||||
\(510\) | 29.3236 | − | 11.3435i | 1.29847 | − | 0.502297i | ||||
\(511\) | −2.42745 | − | 0.788728i | −0.107384 | − | 0.0348913i | ||||
\(512\) | −22.1006 | − | 7.18093i | −0.976719 | − | 0.317355i | ||||
\(513\) | −10.6026 | + | 2.92942i | −0.468117 | + | 0.129337i | ||||
\(514\) | 32.1410 | − | 6.83178i | 1.41768 | − | 0.301337i | ||||
\(515\) | 10.7776 | − | 50.7044i | 0.474916 | − | 2.23430i | ||||
\(516\) | 3.61705 | − | 7.14454i | 0.159232 | − | 0.314521i | ||||
\(517\) | 8.87409 | + | 7.99027i | 0.390282 | + | 0.351412i | ||||
\(518\) | 1.32986 | − | 12.6527i | 0.0584305 | − | 0.555929i | ||||
\(519\) | 5.89589 | − | 7.31949i | 0.258801 | − | 0.321290i | ||||
\(520\) | −62.0496 | + | 6.52167i | −2.72105 | + | 0.285994i | ||||
\(521\) | 15.7757 | + | 9.10813i | 0.691148 | + | 0.399034i | 0.804042 | − | 0.594573i | \(-0.202679\pi\) |
−0.112894 | + | 0.993607i | \(0.536012\pi\) | |||||||
\(522\) | −3.00535 | + | 1.35676i | −0.131541 | + | 0.0593838i | ||||
\(523\) | 20.8880 | + | 28.7498i | 0.913368 | + | 1.25714i | 0.966003 | + | 0.258529i | \(0.0832378\pi\) |
−0.0526358 | + | 0.998614i | \(0.516762\pi\) | |||||||
\(524\) | 1.17409 | − | 1.05716i | 0.0512905 | − | 0.0461822i | ||||
\(525\) | −4.80909 | − | 17.7636i | −0.209886 | − | 0.775269i | ||||
\(526\) | − | 22.4573i | − | 0.979186i | ||||||
\(527\) | −2.90178 | − | 22.3927i | −0.126404 | − | 0.975441i | ||||
\(528\) | −6.79492 | − | 0.338466i | −0.295711 | − | 0.0147298i | ||||
\(529\) | −6.58391 | − | 20.2632i | −0.286257 | − | 0.881008i | ||||
\(530\) | 26.5640 | + | 29.5023i | 1.15387 | + | 1.28150i | ||||
\(531\) | 15.7776 | + | 27.0037i | 0.684690 | + | 1.17186i | ||||
\(532\) | 0.718283 | + | 1.24410i | 0.0311415 | + | 0.0539387i | ||||
\(533\) | 9.95782 | − | 17.2475i | 0.431321 | − | 0.747070i | ||||
\(534\) | 5.12590 | − | 0.281949i | 0.221820 | − | 0.0122011i | ||||
\(535\) | −38.2540 | − | 27.7932i | −1.65387 | − | 1.20160i | ||||
\(536\) | 11.4891 | + | 1.20755i | 0.496254 | + | 0.0521584i | ||||
\(537\) | 0.731334 | − | 0.735132i | 0.0315594 | − | 0.0317233i | ||||
\(538\) | −13.3850 | + | 30.0632i | −0.577069 | + | 1.29612i | ||||
\(539\) | 8.73155 | + | 1.85595i | 0.376094 | + | 0.0799413i | ||||
\(540\) | 0.687265 | + | 11.4162i | 0.0295752 | + | 0.491277i | ||||
\(541\) | −24.1718 | + | 10.7620i | −1.03923 | + | 0.462694i | −0.854148 | − | 0.520030i | \(-0.825921\pi\) |
−0.185079 | + | 0.982724i | \(0.559254\pi\) | |||||||
\(542\) | 1.77970 | − | 5.47736i | 0.0764447 | − | 0.235273i | ||||
\(543\) | 5.24234 | + | 1.99679i | 0.224970 | + | 0.0856904i | ||||
\(544\) | 5.26251 | + | 11.8198i | 0.225628 | + | 0.506769i | ||||
\(545\) | 7.90322 | + | 37.1817i | 0.338537 | + | 1.59269i | ||||
\(546\) | −12.4586 | − | 3.30373i | −0.533180 | − | 0.141386i | ||||
\(547\) | 16.1841 | + | 7.20564i | 0.691984 | + | 0.308091i | 0.722429 | − | 0.691445i | \(-0.243026\pi\) |
−0.0304449 | + | 0.999536i | \(0.509692\pi\) | |||||||
\(548\) | 0.586679 | − | 0.651573i | 0.0250617 | − | 0.0278338i | ||||
\(549\) | 14.2880 | + | 2.95975i | 0.609795 | + | 0.126319i | ||||
\(550\) | −10.1101 | + | 13.9153i | −0.431095 | + | 0.593351i | ||||
\(551\) | −0.204459 | − | 1.94530i | −0.00871024 | − | 0.0828724i | ||||
\(552\) | 5.82342 | + | 3.76037i | 0.247861 | + | 0.160052i | ||||
\(553\) | 4.58341 | − | 2.64623i | 0.194906 | − | 0.112529i | ||||
\(554\) | 27.0446 | − | 19.6491i | 1.14902 | − | 0.834810i | ||||
\(555\) | 37.9322 | + | 46.5951i | 1.61013 | + | 1.97785i | ||||
\(556\) | −5.61215 | + | 1.82350i | −0.238008 | + | 0.0773335i | ||||
\(557\) | −41.1621 | −1.74410 | −0.872048 | − | 0.489421i | \(-0.837208\pi\) | ||||
−0.872048 | + | 0.489421i | \(0.837208\pi\) | |||||||
\(558\) | −19.5481 | − | 3.55944i | −0.827539 | − | 0.150683i | ||||
\(559\) | −42.6207 | −1.80267 | ||||||||
\(560\) | −10.3290 | + | 3.35610i | −0.436481 | + | 0.141821i | ||||
\(561\) | 7.00134 | + | 8.60030i | 0.295597 | + | 0.363105i | ||||
\(562\) | 3.34007 | − | 2.42670i | 0.140892 | − | 0.102364i | ||||
\(563\) | −12.5443 | + | 7.24244i | −0.528678 | + | 0.305232i | −0.740478 | − | 0.672081i | \(-0.765401\pi\) |
0.211800 | + | 0.977313i | \(0.432067\pi\) | |||||||
\(564\) | −6.43763 | − | 4.15699i | −0.271073 | − | 0.175041i | ||||
\(565\) | 2.41116 | + | 22.9406i | 0.101438 | + | 0.965120i | ||||
\(566\) | 16.1511 | − | 22.2301i | 0.678883 | − | 0.934402i | ||||
\(567\) | −3.12345 | + | 9.96295i | −0.131173 | + | 0.418405i | ||||
\(568\) | −16.3391 | + | 18.1464i | −0.685572 | + | 0.761405i | ||||
\(569\) | −23.1127 | − | 10.2904i | −0.968933 | − | 0.431397i | −0.139635 | − | 0.990203i | \(-0.544593\pi\) |
−0.829298 | + | 0.558806i | \(0.811259\pi\) | |||||||
\(570\) | 15.8637 | + | 4.20668i | 0.664458 | + | 0.176198i | ||||
\(571\) | −0.416666 | − | 1.96026i | −0.0174369 | − | 0.0820343i | 0.968569 | − | 0.248746i | \(-0.0800184\pi\) |
−0.986006 | + | 0.166712i | \(0.946685\pi\) | |||||||
\(572\) | −2.02549 | − | 4.54931i | −0.0846898 | − | 0.190216i | ||||
\(573\) | −3.41319 | − | 1.30007i | −0.142588 | − | 0.0543113i | ||||
\(574\) | 1.57503 | − | 4.84745i | 0.0657406 | − | 0.202329i | ||||
\(575\) | 10.8897 | − | 4.84842i | 0.454133 | − | 0.202193i | ||||
\(576\) | 26.1542 | − | 2.88594i | 1.08976 | − | 0.120247i | ||||
\(577\) | −21.9391 | − | 4.66330i | −0.913337 | − | 0.194136i | −0.272807 | − | 0.962069i | \(-0.587952\pi\) |
−0.640530 | + | 0.767933i | \(0.721285\pi\) | |||||||
\(578\) | 0.267617 | − | 0.601079i | 0.0111314 | − | 0.0250016i | ||||
\(579\) | 4.43341 | − | 4.45643i | 0.184246 | − | 0.185203i | ||||
\(580\) | −2.02259 | − | 0.212583i | −0.0839834 | − | 0.00882701i | ||||
\(581\) | −4.82112 | − | 3.50275i | −0.200014 | − | 0.145318i | ||||
\(582\) | −21.9966 | + | 1.20992i | −0.911789 | + | 0.0501526i | ||||
\(583\) | −7.00130 | + | 12.1266i | −0.289964 | + | 0.502233i | ||||
\(584\) | −3.38259 | − | 5.85882i | −0.139973 | − | 0.242440i | ||||
\(585\) | 52.5572 | − | 30.7079i | 2.17297 | − | 1.26962i | ||||
\(586\) | −9.21926 | − | 10.2390i | −0.380844 | − | 0.422970i | ||||
\(587\) | −4.48610 | − | 13.8068i | −0.185161 | − | 0.569867i | 0.814790 | − | 0.579756i | \(-0.196852\pi\) |
−0.999951 | + | 0.00988889i | \(0.996852\pi\) | |||||||
\(588\) | −5.72143 | − | 0.284994i | −0.235948 | − | 0.0117529i | ||||
\(589\) | 5.64508 | − | 10.3468i | 0.232602 | − | 0.426331i | ||||
\(590\) | − | 46.6631i | − | 1.92109i | ||||||
\(591\) | 1.08544 | + | 4.00936i | 0.0446490 | + | 0.164923i | ||||
\(592\) | 17.0449 | − | 15.3473i | 0.700540 | − | 0.630769i | ||||
\(593\) | −7.22644 | − | 9.94634i | −0.296754 | − | 0.408447i | 0.634439 | − | 0.772973i | \(-0.281231\pi\) |
−0.931193 | + | 0.364526i | \(0.881231\pi\) | |||||||
\(594\) | 9.08305 | − | 3.56785i | 0.372682 | − | 0.146391i | ||||
\(595\) | 15.3315 | + | 8.85166i | 0.628531 | + | 0.362883i | ||||
\(596\) | 9.60089 | − | 1.00909i | 0.393268 | − | 0.0413341i | ||||
\(597\) | −10.4879 | + | 13.0203i | −0.429242 | + | 0.532885i | ||||
\(598\) | 0.872684 | − | 8.30303i | 0.0356867 | − | 0.339536i | ||||
\(599\) | 1.16949 | + | 1.05302i | 0.0477843 | + | 0.0430251i | 0.692677 | − | 0.721248i | \(-0.256431\pi\) |
−0.644893 | + | 0.764273i | \(0.723098\pi\) | |||||||
\(600\) | 22.0322 | − | 43.5189i | 0.899462 | − | 1.77665i | ||||
\(601\) | 6.58757 | − | 30.9921i | 0.268713 | − | 1.26419i | −0.612120 | − | 0.790765i | \(-0.709683\pi\) |
0.880832 | − | 0.473428i | \(-0.156984\pi\) | |||||||
\(602\) | −10.6694 | + | 2.26784i | −0.434850 | + | 0.0924303i | ||||
\(603\) | −10.7010 | + | 3.53834i | −0.435778 | + | 0.144092i | ||||
\(604\) | −5.64870 | − | 1.83537i | −0.229842 | − | 0.0746802i | ||||
\(605\) | 30.4450 | + | 9.89217i | 1.23776 | + | 0.402174i | ||||
\(606\) | −17.1516 | + | 6.63490i | −0.696737 | + | 0.269524i | ||||
\(607\) | 6.49501 | − | 1.38056i | 0.263624 | − | 0.0560350i | −0.0742032 | − | 0.997243i | \(-0.523641\pi\) |
0.337827 | + | 0.941208i | \(0.390308\pi\) | |||||||
\(608\) | −1.40418 | + | 6.60614i | −0.0569469 | + | 0.267914i | ||||
\(609\) | −1.65646 | − | 0.838615i | −0.0671233 | − | 0.0339824i | ||||
\(610\) | −16.1786 | − | 14.5673i | −0.655054 | − | 0.589813i | ||||
\(611\) | −4.26324 | + | 40.5620i | −0.172472 | + | 1.64096i | ||||
\(612\) | −5.31335 | − | 4.73457i | −0.214779 | − | 0.191384i | ||||
\(613\) | 29.1975 | − | 3.06878i | 1.17928 | − | 0.123947i | 0.505463 | − | 0.862848i | \(-0.331322\pi\) |
0.673814 | + | 0.738901i | \(0.264655\pi\) | |||||||
\(614\) | 19.2855 | + | 11.1345i | 0.778301 | + | 0.449353i | ||||
\(615\) | 10.9833 | + | 21.4187i | 0.442891 | + | 0.863687i | ||||
\(616\) | −3.31041 | − | 4.55639i | −0.133380 | − | 0.183582i | ||||
\(617\) | 17.0541 | − | 15.3556i | 0.686571 | − | 0.618192i | −0.250175 | − | 0.968201i | \(-0.580488\pi\) |
0.936746 | + | 0.350009i | \(0.113822\pi\) | |||||||
\(618\) | 27.3980 | − | 7.41737i | 1.10211 | − | 0.298371i | ||||
\(619\) | 0.513624i | 0.0206443i | 0.999947 | + | 0.0103221i | \(0.00328570\pi\) | ||||
−0.999947 | + | 0.0103221i | \(0.996714\pi\) | |||||||
\(620\) | −9.30247 | − | 7.97780i | −0.373596 | − | 0.320396i | ||||
\(621\) | −6.68778 | − | 1.00605i | −0.268372 | − | 0.0403714i | ||||
\(622\) | 8.50547 | + | 26.1772i | 0.341038 | + | 1.04961i | ||||
\(623\) | 1.93417 | + | 2.14811i | 0.0774907 | + | 0.0860622i | ||||
\(624\) | −12.7061 | − | 19.4552i | −0.508652 | − | 0.778832i | ||||
\(625\) | −6.54324 | − | 11.3332i | −0.261730 | − | 0.453329i | ||||
\(626\) | 2.29985 | − | 3.98346i | 0.0919206 | − | 0.159211i | ||||
\(627\) | 0.317930 | + | 5.78005i | 0.0126969 | + | 0.230833i | ||||
\(628\) | −6.11151 | − | 4.44027i | −0.243876 | − | 0.177186i | ||||
\(629\) | −37.1824 | − | 3.90802i | −1.48256 | − | 0.155823i | ||||
\(630\) | 11.5228 | − | 10.4837i | 0.459079 | − | 0.417682i | ||||
\(631\) | 4.98255 | − | 11.1910i | 0.198352 | − | 0.445506i | −0.786796 | − | 0.617213i | \(-0.788262\pi\) |
0.985148 | + | 0.171707i | \(0.0549282\pi\) | |||||||
\(632\) | 13.7214 | + | 2.91657i | 0.545807 | + | 0.116015i | ||||
\(633\) | −7.36858 | + | 1.18664i | −0.292875 | + | 0.0471645i | ||||
\(634\) | −17.6273 | + | 7.84818i | −0.700070 | + | 0.311691i | ||||
\(635\) | −20.5359 | + | 63.2031i | −0.814944 | + | 2.50814i | ||||
\(636\) | 3.19855 | − | 8.39743i | 0.126831 | − | 0.332980i | ||||
\(637\) | 12.4010 | + | 27.8530i | 0.491344 | + | 1.10358i | ||||
\(638\) | 0.360789 | + | 1.69738i | 0.0142838 | + | 0.0671998i | ||||
\(639\) | 7.24433 | − | 22.6950i | 0.286581 | − | 0.897801i | ||||
\(640\) | −13.9318 | − | 6.20284i | −0.550703 | − | 0.245189i | ||||
\(641\) | −4.94245 | + | 5.48915i | −0.195215 | + | 0.216808i | −0.832803 | − | 0.553569i | \(-0.813266\pi\) |
0.637588 | + | 0.770377i | \(0.279932\pi\) | |||||||
\(642\) | 3.98409 | − | 25.5831i | 0.157239 | − | 1.00968i | ||||
\(643\) | 0.593177 | − | 0.816439i | 0.0233926 | − | 0.0321972i | −0.797160 | − | 0.603767i | \(-0.793666\pi\) |
0.820553 | + | 0.571570i | \(0.193666\pi\) | |||||||
\(644\) | 0.0923240 | + | 0.878404i | 0.00363807 | + | 0.0346140i | ||||
\(645\) | 27.9439 | − | 43.2747i | 1.10029 | − | 1.70394i | ||||
\(646\) | −8.84431 | + | 5.10626i | −0.347975 | + | 0.200903i | ||||
\(647\) | 22.3539 | − | 16.2410i | 0.878821 | − | 0.638501i | −0.0541185 | − | 0.998535i | \(-0.517235\pi\) |
0.932939 | + | 0.360034i | \(0.117235\pi\) | |||||||
\(648\) | −23.8223 | + | 14.0848i | −0.935827 | + | 0.553302i | ||||
\(649\) | 15.6533 | − | 5.08606i | 0.614445 | − | 0.199645i | ||||
\(650\) | −58.7476 | −2.30427 | ||||||||
\(651\) | −5.34384 | − | 9.82905i | −0.209442 | − | 0.385231i | ||||
\(652\) | 7.64519 | 0.299409 | ||||||||
\(653\) | 28.5427 | − | 9.27408i | 1.11696 | − | 0.362923i | 0.308354 | − | 0.951272i | \(-0.400222\pi\) |
0.808607 | + | 0.588349i | \(0.200222\pi\) | |||||||
\(654\) | −16.1418 | + | 13.1407i | −0.631194 | + | 0.513843i | ||||
\(655\) | 8.22203 | − | 5.97366i | 0.321261 | − | 0.233410i | ||||
\(656\) | 7.95771 | − | 4.59439i | 0.310696 | − | 0.179381i | ||||
\(657\) | 5.35976 | + | 3.85185i | 0.209104 | + | 0.150275i | ||||
\(658\) | 1.09107 | + | 10.3808i | 0.0425343 | + | 0.404687i | ||||
\(659\) | −12.5455 | + | 17.2674i | −0.488702 | + | 0.672641i | −0.980148 | − | 0.198267i | \(-0.936469\pi\) |
0.491446 | + | 0.870908i | \(0.336469\pi\) | |||||||
\(660\) | 5.94711 | + | 0.926150i | 0.231491 | + | 0.0360503i | ||||
\(661\) | −13.8296 | + | 15.3593i | −0.537908 | + | 0.597407i | −0.949425 | − | 0.313995i | \(-0.898332\pi\) |
0.411517 | + | 0.911402i | \(0.364999\pi\) | |||||||
\(662\) | 10.2064 | + | 4.54416i | 0.396681 | + | 0.176614i | ||||
\(663\) | −9.70860 | + | 36.6119i | −0.377051 | + | 1.42189i | ||||
\(664\) | −3.28400 | − | 15.4500i | −0.127444 | − | 0.599577i | ||||
\(665\) | 3.75865 | + | 8.44206i | 0.145754 | + | 0.327369i | ||||
\(666\) | −13.2256 | + | 30.1240i | −0.512480 | + | 1.16728i | ||||
\(667\) | 0.371628 | − | 1.14375i | 0.0143895 | − | 0.0442863i | ||||
\(668\) | 7.63465 | − | 3.39916i | 0.295393 | − | 0.131518i | ||||
\(669\) | 1.87643 | + | 11.6520i | 0.0725471 | + | 0.450491i | ||||
\(670\) | 16.4488 | + | 3.49630i | 0.635472 | + | 0.135074i | ||||
\(671\) | 3.12326 | − | 7.01495i | 0.120572 | − | 0.270809i | ||||
\(672\) | 4.54473 | + | 4.52126i | 0.175317 | + | 0.174411i | ||||
\(673\) | −22.5759 | − | 2.37283i | −0.870238 | − | 0.0914657i | −0.341126 | − | 0.940018i | \(-0.610808\pi\) |
−0.529112 | + | 0.848552i | \(0.677475\pi\) | |||||||
\(674\) | 10.6068 | + | 7.70629i | 0.408559 | + | 0.296835i | ||||
\(675\) | −2.12138 | + | 47.5420i | −0.0816521 | + | 1.82989i | ||||
\(676\) | 4.70218 | − | 8.14441i | 0.180853 | − | 0.313247i | ||||
\(677\) | −11.1447 | − | 19.3032i | −0.428325 | − | 0.741881i | 0.568399 | − | 0.822753i | \(-0.307563\pi\) |
−0.996725 | + | 0.0808716i | \(0.974230\pi\) | |||||||
\(678\) | −10.5752 | + | 6.90659i | −0.406137 | + | 0.265246i | ||||
\(679\) | −8.30002 | − | 9.21811i | −0.318526 | − | 0.353759i | ||||
\(680\) | 14.5001 | + | 44.6268i | 0.556055 | + | 1.71136i | ||||
\(681\) | −0.470001 | + | 9.43557i | −0.0180105 | + | 0.361572i | ||||
\(682\) | −4.02117 | + | 9.65245i | −0.153979 | + | 0.369611i | ||||
\(683\) | − | 10.0595i | − | 0.384917i | −0.981305 | − | 0.192459i | \(-0.938354\pi\) | ||
0.981305 | − | 0.192459i | \(-0.0616461\pi\) | |||||||
\(684\) | −0.791173 | − | 3.62964i | −0.0302512 | − | 0.138783i | ||||
\(685\) | 4.19137 | − | 3.77392i | 0.160144 | − | 0.144194i | ||||
\(686\) | 10.2646 | + | 14.1279i | 0.391902 | + | 0.539407i | ||||
\(687\) | 31.3348 | − | 16.0682i | 1.19550 | − | 0.613041i | ||||
\(688\) | −17.0300 | − | 9.83228i | −0.649263 | − | 0.374852i | ||||
\(689\) | −47.5640 | + | 4.99917i | −1.81204 | + | 0.190453i | ||||
\(690\) | 7.85827 | + | 6.32988i | 0.299159 | + | 0.240974i | ||||
\(691\) | −3.88931 | + | 37.0043i | −0.147956 | + | 1.40771i | 0.628632 | + | 0.777703i | \(0.283615\pi\) |
−0.776588 | + | 0.630008i | \(0.783051\pi\) | |||||||
\(692\) | 2.35885 | + | 2.12392i | 0.0896700 | + | 0.0807392i | ||||
\(693\) | 4.77274 | + | 2.72268i | 0.181301 | + | 0.103426i | ||||
\(694\) | −6.00513 | + | 28.2519i | −0.227952 | + | 1.07243i | ||||
\(695\) | −37.1295 | + | 7.89213i | −1.40840 | + | 0.299365i | ||||
\(696\) | −1.77547 | − | 4.58969i | −0.0672988 | − | 0.173972i | ||||
\(697\) | −14.2451 | − | 4.62852i | −0.539572 | − | 0.175318i | ||||
\(698\) | −20.4451 | − | 6.64301i | −0.773858 | − | 0.251442i | ||||
\(699\) | 5.76132 | + | 14.8934i | 0.217913 | + | 0.563319i | ||||
\(700\) | 6.07928 | − | 1.29219i | 0.229775 | − | 0.0488402i | ||||
\(701\) | 6.84460 | − | 32.2013i | 0.258517 | − | 1.21623i | −0.636882 | − | 0.770961i | \(-0.719776\pi\) |
0.895399 | − | 0.445265i | \(-0.146891\pi\) | |||||||
\(702\) | 28.0937 | + | 17.9355i | 1.06033 | + | 0.676933i | ||||
\(703\) | −14.5031 | − | 13.0586i | −0.546993 | − | 0.492515i | ||||
\(704\) | 1.44745 | − | 13.7716i | 0.0545530 | − | 0.519037i | ||||
\(705\) | −38.3893 | − | 30.9228i | −1.44582 | − | 1.16462i | ||||
\(706\) | 24.1213 | − | 2.53525i | 0.907815 | − | 0.0954152i | ||||
\(707\) | −8.96756 | − | 5.17742i | −0.337260 | − | 0.194717i | ||||
\(708\) | −9.39856 | + | 4.81950i | −0.353220 | + | 0.181128i | ||||
\(709\) | −10.5187 | − | 14.4777i | −0.395038 | − | 0.543723i | 0.564452 | − | 0.825466i | \(-0.309088\pi\) |
−0.959490 | + | 0.281743i | \(0.909088\pi\) | |||||||
\(710\) | −26.4148 | + | 23.7840i | −0.991330 | + | 0.892598i | ||||
\(711\) | −13.3720 | + | 2.91477i | −0.501489 | + | 0.109312i | ||||
\(712\) | 7.66157i | 0.287129i | ||||||||
\(713\) | 5.75815 | − | 4.39982i | 0.215644 | − | 0.164775i | ||||
\(714\) | −0.482264 | + | 9.68175i | −0.0180483 | + | 0.362330i | ||||
\(715\) | −9.89898 | − | 30.4659i | −0.370201 | − | 1.13936i | ||||
\(716\) | 0.234329 | + | 0.260249i | 0.00875728 | + | 0.00972595i | ||||
\(717\) | 6.35997 | − | 4.15367i | 0.237517 | − | 0.155122i | ||||
\(718\) | 7.68836 | + | 13.3166i | 0.286927 | + | 0.496972i | ||||
\(719\) | 3.67007 | − | 6.35676i | 0.136871 | − | 0.237067i | −0.789440 | − | 0.613828i | \(-0.789629\pi\) |
0.926311 | + | 0.376761i | \(0.122962\pi\) | |||||||
\(720\) | 28.0844 | − | 0.145444i | 1.04664 | − | 0.00542039i | ||||
\(721\) | 12.9298 | + | 9.39407i | 0.481532 | + | 0.349853i | ||||
\(722\) | 17.1762 | + | 1.80529i | 0.639231 | + | 0.0671859i | ||||
\(723\) | 12.4713 | + | 12.4069i | 0.463814 | + | 0.461419i | ||||
\(724\) | −0.770573 | + | 1.73073i | −0.0286381 | + | 0.0643222i | ||||
\(725\) | −8.27748 | − | 1.75943i | −0.307418 | − | 0.0653437i | ||||
\(726\) | 2.78689 | + | 17.3056i | 0.103431 | + | 0.642271i | ||||
\(727\) | 26.7877 | − | 11.9267i | 0.993501 | − | 0.442335i | 0.155401 | − | 0.987852i | \(-0.450333\pi\) |
0.838100 | + | 0.545517i | \(0.183666\pi\) | |||||||
\(728\) | 5.94429 | − | 18.2947i | 0.220310 | − | 0.678045i | ||||
\(729\) | 15.5289 | − | 22.0874i | 0.575146 | − | 0.818051i | ||||
\(730\) | −4.00544 | − | 8.99637i | −0.148248 | − | 0.332971i | ||||
\(731\) | 6.66446 | + | 31.3538i | 0.246494 | + | 1.15966i | ||||
\(732\) | −1.26307 | + | 4.76315i | −0.0466845 | + | 0.176051i | ||||
\(733\) | 14.6521 | + | 6.52354i | 0.541188 | + | 0.240953i | 0.659079 | − | 0.752074i | \(-0.270946\pi\) |
−0.117890 | + | 0.993027i | \(0.537613\pi\) | |||||||
\(734\) | −23.2461 | + | 25.8174i | −0.858028 | + | 0.952937i | ||||
\(735\) | −36.4109 | − | 5.67032i | −1.34304 | − | 0.209153i | ||||
\(736\) | −2.44071 | + | 3.35935i | −0.0899657 | + | 0.123827i | ||||
\(737\) | 0.619998 | + | 5.89888i | 0.0228379 | + | 0.217288i | ||||
\(738\) | −7.69186 | + | 10.7031i | −0.283141 | + | 0.393985i | ||||
\(739\) | −5.25564 | + | 3.03434i | −0.193332 | + | 0.111620i | −0.593541 | − | 0.804803i | \(-0.702271\pi\) |
0.400210 | + | 0.916424i | \(0.368937\pi\) | |||||||
\(740\) | −16.4159 | + | 11.9269i | −0.603461 | + | 0.438440i | ||||
\(741\) | −15.3332 | + | 12.4824i | −0.563278 | + | 0.458554i | ||||
\(742\) | −11.6408 | + | 3.78232i | −0.427347 | + | 0.138853i | ||||
\(743\) | 3.35772 | 0.123183 | 0.0615914 | − | 0.998101i | \(-0.480382\pi\) | ||||
0.0615914 | + | 0.998101i | \(0.480382\pi\) | |||||||
\(744\) | 6.90645 | − | 28.8383i | 0.253203 | − | 1.05726i | ||||
\(745\) | 62.0997 | 2.27516 | ||||||||
\(746\) | 30.0128 | − | 9.75176i | 1.09885 | − | 0.357037i | ||||
\(747\) | 9.12233 | + | 12.4200i | 0.333768 | + | 0.454425i | ||||
\(748\) | −3.02997 | + | 2.20140i | −0.110787 | + | 0.0804913i | ||||
\(749\) | 12.6254 | − | 7.28925i | 0.461320 | − | 0.266344i | ||||
\(750\) | 17.4893 | − | 27.0844i | 0.638618 | − | 0.988983i | ||||
\(751\) | 0.333307 | + | 3.17120i | 0.0121625 | + | 0.115719i | 0.998919 | − | 0.0464921i | \(-0.0148042\pi\) |
−0.986756 | + | 0.162211i | \(0.948138\pi\) | |||||||
\(752\) | −11.0608 | + | 15.2239i | −0.403346 | + | 0.555159i | ||||
\(753\) | 1.15074 | − | 7.38930i | 0.0419355 | − | 0.269281i | ||||
\(754\) | −3.96588 | + | 4.40456i | −0.144429 | + | 0.160405i | ||||
\(755\) | −34.9031 | − | 15.5399i | −1.27025 | − | 0.565554i | ||||
\(756\) | −3.30167 | − | 1.23805i | −0.120081 | − | 0.0450276i | ||||
\(757\) | 0.750979 | + | 3.53308i | 0.0272948 | + | 0.128412i | 0.989685 | − | 0.143257i | \(-0.0457577\pi\) |
−0.962391 | + | 0.271669i | \(0.912424\pi\) | |||||||
\(758\) | 3.61875 | + | 8.12785i | 0.131439 | + | 0.295217i | ||||
\(759\) | −1.26686 | + | 3.32601i | −0.0459843 | + | 0.120727i | ||||
\(760\) | −7.56894 | + | 23.2948i | −0.274554 | + | 0.844992i | ||||
\(761\) | 25.3996 | − | 11.3087i | 0.920736 | − | 0.409938i | 0.109053 | − | 0.994036i | \(-0.465218\pi\) |
0.811683 | + | 0.584098i | \(0.198552\pi\) | |||||||
\(762\) | −35.9261 | + | 5.78553i | −1.30146 | + | 0.209588i | ||||
\(763\) | −11.4637 | − | 2.43668i | −0.415012 | − | 0.0882136i | ||||
\(764\) | 0.501706 | − | 1.12685i | 0.0181511 | − | 0.0407680i | ||||
\(765\) | −30.8084 | − | 33.8618i | −1.11388 | − | 1.22428i | ||||
\(766\) | 5.96429 | + | 0.626873i | 0.215499 | + | 0.0226498i | ||||
\(767\) | 45.4791 | + | 33.0425i | 1.64215 | + | 1.19310i | ||||
\(768\) | 1.21009 | + | 21.9998i | 0.0436654 | + | 0.793849i | ||||
\(769\) | −21.1761 | + | 36.6781i | −0.763631 | + | 1.32265i | 0.177337 | + | 0.984150i | \(0.443252\pi\) |
−0.940968 | + | 0.338497i | \(0.890082\pi\) | |||||||
\(770\) | −4.09912 | − | 7.09989i | −0.147722 | − | 0.255862i | ||||
\(771\) | −26.1616 | − | 40.0579i | −0.942189 | − | 1.44265i | ||||
\(772\) | 1.42052 | + | 1.57765i | 0.0511257 | + | 0.0567808i | ||||
\(773\) | −9.35080 | − | 28.7788i | −0.336325 | − | 1.03510i | −0.966066 | − | 0.258296i | \(-0.916839\pi\) |
0.629741 | − | 0.776805i | \(-0.283161\pi\) | |||||||
\(774\) | 28.0670 | + | 2.80308i | 1.00885 | + | 0.100755i | ||||
\(775\) | −35.0259 | − | 37.0601i | −1.25817 | − | 1.33124i | ||||
\(776\) | − | 32.8778i | − | 1.18025i | ||||||
\(777\) | −17.8807 | + | 4.84079i | −0.641468 | + | 0.173662i | ||||
\(778\) | 9.25503 | − | 8.33327i | 0.331809 | − | 0.298762i | ||||
\(779\) | −4.59559 | − | 6.32529i | −0.164654 | − | 0.226627i | ||||
\(780\) | 9.38018 | + | 18.2924i | 0.335864 | + | 0.654972i | ||||
\(781\) | −10.8575 | − | 6.26859i | −0.388513 | − | 0.224308i | ||||
\(782\) | −6.24456 | + | 0.656330i | −0.223305 | + | 0.0234703i | ||||
\(783\) | 3.42122 | + | 3.36847i | 0.122264 | + | 0.120379i | ||||
\(784\) | −1.47041 | + | 13.9900i | −0.0525148 | + | 0.499645i | ||||
\(785\) | −36.1124 | − | 32.5158i | −1.28891 | − | 1.16054i | ||||
\(786\) | 4.96490 | + | 2.51357i | 0.177092 | + | 0.0896562i | ||||
\(787\) | 5.04436 | − | 23.7318i | 0.179812 | − | 0.845949i | −0.792061 | − | 0.610442i | \(-0.790992\pi\) |
0.971873 | − | 0.235506i | \(-0.0756749\pi\) | |||||||
\(788\) | −1.37213 | + | 0.291655i | −0.0488801 | + | 0.0103898i | ||||
\(789\) | −30.4966 | + | 11.7972i | −1.08571 | + | 0.419993i | ||||
\(790\) | 19.4204 | + | 6.31005i | 0.690945 | + | 0.224502i | ||||
\(791\) | −6.76380 | − | 2.19769i | −0.240493 | − | 0.0781410i | ||||
\(792\) | 4.57220 | + | 13.8277i | 0.162466 | + | 0.491346i | ||||
\(793\) | 25.6539 | − | 5.45291i | 0.910997 | − | 0.193638i | ||||
\(794\) | −3.67775 | + | 17.3025i | −0.130519 | + | 0.614041i | ||||
\(795\) | 26.1090 | − | 51.5714i | 0.925990 | − | 1.82905i | ||||
\(796\) | −4.19604 | − | 3.77813i | −0.148725 | − | 0.133912i | ||||
\(797\) | 4.25644 | − | 40.4973i | 0.150771 | − | 1.43449i | −0.613552 | − | 0.789654i | \(-0.710260\pi\) |
0.764323 | − | 0.644833i | \(-0.223073\pi\) | |||||||
\(798\) | −3.17420 | + | 3.94063i | −0.112366 | + | 0.139497i | ||||
\(799\) | 30.5060 | − | 3.20631i | 1.07922 | − | 0.113431i | ||||
\(800\) | 25.3044 | + | 14.6095i | 0.894645 | + | 0.516524i | ||||
\(801\) | −3.07561 | − | 6.81275i | −0.108671 | − | 0.240717i | ||||
\(802\) | −24.7133 | − | 34.0149i | −0.872656 | − | 1.20111i | ||||
\(803\) | 2.58129 | − | 2.32420i | 0.0910917 | − | 0.0820194i | ||||
\(804\) | −0.994680 | − | 3.67411i | −0.0350796 | − | 0.129576i | ||||
\(805\) | 5.68162i | 0.200251i | ||||||||
\(806\) | −34.7445 | + | 8.26679i | −1.22382 | + | 0.291185i | ||||
\(807\) | 47.8566 | + | 2.38382i | 1.68463 | + | 0.0839143i | ||||
\(808\) | −8.48127 | − | 26.1027i | −0.298370 | − | 0.918288i | ||||
\(809\) | 12.3149 | + | 13.6771i | 0.432970 | + | 0.480862i | 0.919662 | − | 0.392712i | \(-0.128463\pi\) |
−0.486691 | + | 0.873574i | \(0.661796\pi\) | |||||||
\(810\) | −36.6301 | + | 16.7655i | −1.28705 | + | 0.589079i | ||||
\(811\) | 1.69145 | + | 2.92968i | 0.0593949 | + | 0.102875i | 0.894194 | − | 0.447680i | \(-0.147750\pi\) |
−0.834799 | + | 0.550555i | \(0.814416\pi\) | |||||||
\(812\) | 0.313514 | − | 0.543022i | 0.0110022 | − | 0.0190563i | ||||
\(813\) | −8.37304 | + | 0.460556i | −0.293655 | + | 0.0161524i | ||||
\(814\) | 14.0070 | + | 10.1767i | 0.490947 | + | 0.356694i | ||||
\(815\) | 48.9097 | + | 5.14061i | 1.71323 | + | 0.180068i | ||||
\(816\) | −12.3254 | + | 12.3894i | −0.431474 | + | 0.433714i | ||||
\(817\) | −6.80554 | + | 15.2855i | −0.238096 | + | 0.534772i | ||||
\(818\) | 8.00096 | + | 1.70066i | 0.279747 | + | 0.0594620i | ||||
\(819\) | 2.05835 | + | 18.6541i | 0.0719245 | + | 0.651825i | ||||
\(820\) | −7.42634 | + | 3.30642i | −0.259339 | + | 0.115465i | ||||
\(821\) | 7.68340 | − | 23.6471i | 0.268153 | − | 0.825289i | −0.722798 | − | 0.691060i | \(-0.757144\pi\) |
0.990950 | − | 0.134229i | \(-0.0428559\pi\) | |||||||
\(822\) | 2.88603 | + | 1.09928i | 0.100662 | + | 0.0383417i | ||||
\(823\) | −4.38149 | − | 9.84099i | −0.152729 | − | 0.343035i | 0.820935 | − | 0.571021i | \(-0.193453\pi\) |
−0.973664 | + | 0.227986i | \(0.926786\pi\) | |||||||
\(824\) | 8.80742 | + | 41.4357i | 0.306821 | + | 1.44348i | ||||
\(825\) | 24.2077 | + | 6.41929i | 0.842804 | + | 0.223491i | ||||
\(826\) | 13.1431 | + | 5.85167i | 0.457306 | + | 0.203606i | ||||
\(827\) | 16.9267 | − | 18.7990i | 0.588598 | − | 0.653704i | −0.373108 | − | 0.927788i | \(-0.621708\pi\) |
0.961706 | + | 0.274084i | \(0.0883746\pi\) | |||||||
\(828\) | 0.463296 | − | 2.23653i | 0.0161007 | − | 0.0777247i | ||||
\(829\) | 13.6214 | − | 18.7482i | 0.473090 | − | 0.651152i | −0.504069 | − | 0.863663i | \(-0.668164\pi\) |
0.977159 | + | 0.212512i | \(0.0681643\pi\) | |||||||
\(830\) | −2.40335 | − | 22.8664i | −0.0834215 | − | 0.793703i | ||||
\(831\) | −40.8901 | − | 26.4040i | −1.41846 | − | 0.915946i | ||||
\(832\) | 40.9596 | − | 23.6480i | 1.42002 | − | 0.819848i | ||||
\(833\) | 18.5509 | − | 13.4780i | 0.642750 | − | 0.466985i | ||||
\(834\) | −13.1223 | − | 16.1191i | −0.454387 | − | 0.558160i | ||||
\(835\) | 51.1278 | − | 16.6124i | 1.76935 | − | 0.574897i | ||||
\(836\) | −1.95499 | −0.0676147 | ||||||||
\(837\) | 5.43534 | + | 28.4158i | 0.187873 | + | 0.982193i | ||||
\(838\) | 34.0807 | 1.17730 | ||||||||
\(839\) | 19.1991 | − | 6.23816i | 0.662826 | − | 0.215365i | 0.0417650 | − | 0.999127i | \(-0.486702\pi\) |
0.621061 | + | 0.783762i | \(0.286702\pi\) | |||||||
\(840\) | 14.6780 | + | 18.0302i | 0.506441 | + | 0.622102i | ||||
\(841\) | 22.7708 | − | 16.5439i | 0.785200 | − | 0.570481i | ||||
\(842\) | −7.73189 | + | 4.46401i | −0.266459 | + | 0.153840i | ||||
\(843\) | −5.05000 | − | 3.26095i | −0.173931 | − | 0.112313i | ||||
\(844\) | −0.263472 | − | 2.50677i | −0.00906909 | − | 0.0862866i | ||||
\(845\) | 35.5582 | − | 48.9417i | 1.22324 | − | 1.68365i | ||||
\(846\) | 5.47516 | − | 26.4309i | 0.188240 | − | 0.908714i | ||||
\(847\) | −6.60410 | + | 7.33460i | −0.226920 | + | 0.252020i | ||||
\(848\) | −20.1584 | − | 8.97512i | −0.692244 | − | 0.308207i | ||||
\(849\) | −38.6725 | − | 10.2550i | −1.32724 | − | 0.351951i | ||||
\(850\) | 9.18617 | + | 43.2175i | 0.315083 | + | 1.48235i | ||||
\(851\) | −4.88038 | − | 10.9615i | −0.167297 | − | 0.375756i | ||||
\(852\) | 7.51862 | + | 2.86381i | 0.257584 | + | 0.0981126i | ||||
\(853\) | −14.7495 | + | 45.3942i | −0.505012 | + | 1.55427i | 0.295738 | + | 0.955269i | \(0.404434\pi\) |
−0.800750 | + | 0.598999i | \(0.795566\pi\) | |||||||
\(854\) | 6.13186 | − | 2.73008i | 0.209828 | − | 0.0934214i | ||||
\(855\) | −2.62092 | − | 23.7524i | −0.0896335 | − | 0.812316i | ||||
\(856\) | 37.7966 | + | 8.03391i | 1.29186 | + | 0.274593i | ||||
\(857\) | −19.5412 | + | 43.8903i | −0.667515 | + | 1.49926i | 0.188370 | + | 0.982098i | \(0.439679\pi\) |
−0.855886 | + | 0.517165i | \(0.826987\pi\) | |||||||
\(858\) | 12.3709 | − | 12.4352i | 0.422337 | − | 0.424530i | ||||
\(859\) | −36.6378 | − | 3.85079i | −1.25006 | − | 0.131387i | −0.543727 | − | 0.839262i | \(-0.682987\pi\) |
−0.706338 | + | 0.707875i | \(0.749654\pi\) | |||||||
\(860\) | 14.0744 | + | 10.2256i | 0.479932 | + | 0.348691i | ||||
\(861\) | −7.41013 | + | 0.407591i | −0.252536 | + | 0.0138907i | ||||
\(862\) | 22.7016 | − | 39.3203i | 0.773219 | − | 1.33926i | ||||
\(863\) | 23.0792 | + | 39.9743i | 0.785624 | + | 1.36074i | 0.928625 | + | 0.371019i | \(0.120991\pi\) |
−0.143001 | + | 0.989723i | \(0.545675\pi\) | |||||||
\(864\) | −7.64055 | − | 14.7118i | −0.259937 | − | 0.500505i | ||||
\(865\) | 13.6625 | + | 15.1737i | 0.464539 | + | 0.515923i | ||||
\(866\) | −4.73932 | − | 14.5861i | −0.161049 | − | 0.495657i | ||||
\(867\) | −0.956836 | − | 0.0476615i | −0.0324958 | − | 0.00161867i | ||||
\(868\) | 3.41357 | − | 1.61969i | 0.115864 | − | 0.0549757i | ||||
\(869\) | 7.20239i | 0.244324i | ||||||||
\(870\) | −1.87195 | − | 6.91454i | −0.0634650 | − | 0.234425i | ||||
\(871\) | −15.0551 | + | 13.5557i | −0.510123 | + | 0.459317i | ||||
\(872\) | −18.2588 | − | 25.1311i | −0.618321 | − | 0.851046i | ||||
\(873\) | 13.1983 | + | 29.2353i | 0.446693 | + | 0.989466i | ||||
\(874\) | −2.83845 | − | 1.63878i | −0.0960121 | − | 0.0554326i | ||||
\(875\) | 18.0539 | − | 1.89754i | 0.610333 | − | 0.0641486i | ||||
\(876\) | −1.39830 | + | 1.73592i | −0.0472440 | + | 0.0586514i | ||||
\(877\) | −3.72336 | + | 35.4254i | −0.125729 | + | 1.19623i | 0.731699 | + | 0.681628i | \(0.238728\pi\) |
−0.857428 | + | 0.514604i | \(0.827939\pi\) | |||||||
\(878\) | 11.8337 | + | 10.6551i | 0.399367 | + | 0.359592i | ||||
\(879\) | −9.06133 | + | 17.8983i | −0.305631 | + | 0.603694i | ||||
\(880\) | 3.07291 | − | 14.4569i | 0.103588 | − | 0.487343i | ||||
\(881\) | 35.7863 | − | 7.60662i | 1.20567 | − | 0.256274i | 0.439104 | − | 0.898436i | \(-0.355296\pi\) |
0.766568 | + | 0.642163i | \(0.221963\pi\) | |||||||
\(882\) | −6.33456 | − | 19.1576i | −0.213296 | − | 0.645071i | ||||
\(883\) | −44.0738 | − | 14.3204i | −1.48320 | − | 0.481921i | −0.548133 | − | 0.836391i | \(-0.684661\pi\) |
−0.935067 | + | 0.354470i | \(0.884661\pi\) | |||||||
\(884\) | −12.1658 | − | 3.95292i | −0.409182 | − | 0.132951i | ||||
\(885\) | −63.3674 | + | 24.5129i | −2.13007 | + | 0.823993i | ||||
\(886\) | −42.3084 | + | 8.99293i | −1.42138 | + | 0.302123i | ||||
\(887\) | −9.10917 | + | 42.8553i | −0.305856 | + | 1.43894i | 0.509745 | + | 0.860325i | \(0.329740\pi\) |
−0.815601 | + | 0.578614i | \(0.803594\pi\) | |||||||
\(888\) | −43.8058 | − | 22.1775i | −1.47003 | − | 0.744227i | ||||
\(889\) | −15.2265 | − | 13.7100i | −0.510679 | − | 0.459818i | ||||
\(890\) | −1.16576 | + | 11.0915i | −0.0390764 | + | 0.371788i | ||||
\(891\) | −9.61655 | − | 10.4603i | −0.322167 | − | 0.350434i | ||||
\(892\) | −3.96397 | + | 0.416630i | −0.132723 | + | 0.0139498i | ||||
\(893\) | 13.8664 | + | 8.00578i | 0.464022 | + | 0.267903i | ||||
\(894\) | 15.5158 | + | 30.2575i | 0.518925 | + | 1.01196i | ||||
\(895\) | 1.32412 | + | 1.82249i | 0.0442603 | + | 0.0609191i | ||||
\(896\) | 3.49417 | − | 3.14617i | 0.116732 | − | 0.105106i | ||||
\(897\) | −11.7338 | + | 3.17664i | −0.391779 | + | 0.106065i | ||||
\(898\) | − | 2.55475i | − | 0.0852532i | ||||||
\(899\) | −5.14305 | + | 0.124219i | −0.171530 | + | 0.00414293i | ||||
\(900\) | −15.9923 | − | 1.59717i | −0.533077 | − | 0.0532389i | ||||
\(901\) | 11.1150 | + | 34.2086i | 0.370296 | + | 1.13965i | ||||
\(902\) | 4.64127 | + | 5.15465i | 0.154537 | + | 0.171631i | ||||
\(903\) | 8.68448 | + | 13.2974i | 0.289001 | + | 0.442510i | ||||
\(904\) | −9.42518 | − | 16.3249i | −0.313477 | − | 0.542958i | ||||
\(905\) | −6.09344 | + | 10.5542i | −0.202553 | + | 0.350832i | ||||
\(906\) | −1.14899 | − | 20.8889i | −0.0381725 | − | 0.693987i | ||||
\(907\) | 2.65334 | + | 1.92776i | 0.0881026 | + | 0.0640103i | 0.630965 | − | 0.775812i | \(-0.282659\pi\) |
−0.542862 | + | 0.839822i | \(0.682659\pi\) | |||||||
\(908\) | −3.17305 | − | 0.333501i | −0.105301 | − | 0.0110676i | ||||
\(909\) | 18.0201 | + | 19.8061i | 0.597689 | + | 0.656927i | ||||
\(910\) | 11.3891 | − | 25.5803i | 0.377545 | − | 0.847979i | ||||
\(911\) | −13.1742 | − | 2.80027i | −0.436481 | − | 0.0927769i | −0.0155699 | − | 0.999879i | \(-0.504956\pi\) |
−0.420911 | + | 0.907102i | \(0.638290\pi\) | |||||||
\(912\) | −9.00629 | + | 1.45037i | −0.298228 | + | 0.0480266i | ||||
\(913\) | 7.40864 | − | 3.29854i | 0.245190 | − | 0.109166i | ||||
\(914\) | 14.1718 | − | 43.6165i | 0.468763 | − | 1.44270i | ||||
\(915\) | −11.2832 | + | 29.6227i | −0.373010 | + | 0.979296i | ||||
\(916\) | 4.83717 | + | 10.8645i | 0.159824 | + | 0.358972i | ||||
\(917\) | 0.651470 | + | 3.06492i | 0.0215134 | + | 0.101213i | ||||
\(918\) | 8.80130 | − | 23.4715i | 0.290486 | − | 0.774676i | ||||
\(919\) | 31.7855 | + | 14.1518i | 1.04851 | + | 0.466825i | 0.857350 | − | 0.514734i | \(-0.172109\pi\) |
0.191157 | + | 0.981559i | \(0.438776\pi\) | |||||||
\(920\) | −10.0767 | + | 11.1913i | −0.332219 | + | 0.368966i | ||||
\(921\) | 4.98939 | − | 32.0385i | 0.164406 | − | 1.05570i | ||||
\(922\) | 3.87245 | − | 5.32996i | 0.127532 | − | 0.175533i | ||||
\(923\) | −4.47600 | − | 42.5863i | −0.147329 | − | 1.40174i | ||||
\(924\) | −1.00664 | + | 1.55892i | −0.0331161 | + | 0.0512846i | ||||
\(925\) | −73.1204 | + | 42.2161i | −2.40419 | + | 1.38806i | ||||
\(926\) | −30.4220 | + | 22.1029i | −0.999729 | + | 0.726346i | ||||
\(927\) | −24.4653 | − | 33.3095i | −0.803546 | − | 1.09403i | ||||
\(928\) | 2.80356 | − | 0.910933i | 0.0920315 | − | 0.0299028i | ||||
\(929\) | 12.2276 | 0.401176 | 0.200588 | − | 0.979676i | \(-0.435715\pi\) | ||||
0.200588 | + | 0.979676i | \(0.435715\pi\) | |||||||
\(930\) | 14.3863 | − | 40.6977i | 0.471744 | − | 1.33453i | ||||
\(931\) | 11.9693 | 0.392279 | ||||||||
\(932\) | −5.12905 | + | 1.66653i | −0.168008 | + | 0.0545890i | ||||
\(933\) | 31.0799 | − | 25.3016i | 1.01751 | − | 0.828336i | ||||
\(934\) | −13.8250 | + | 10.0445i | −0.452368 | + | 0.328665i | ||||
\(935\) | −20.8643 | + | 12.0460i | −0.682336 | + | 0.393947i | ||||
\(936\) | −29.0297 | + | 40.3942i | −0.948864 | + | 1.32033i | ||||
\(937\) | 0.257967 | + | 2.45439i | 0.00842740 | + | 0.0801814i | 0.997927 | − | 0.0643528i | \(-0.0204983\pi\) |
−0.989500 | + | 0.144534i | \(0.953832\pi\) | |||||||
\(938\) | −3.04749 | + | 4.19451i | −0.0995040 | + | 0.136955i | ||||
\(939\) | −6.61760 | − | 1.03057i | −0.215957 | − | 0.0336313i | ||||
\(940\) | 11.1395 | − | 12.3717i | 0.363331 | − | 0.403520i | ||||
\(941\) | 8.46562 | + | 3.76914i | 0.275971 | + | 0.122870i | 0.540056 | − | 0.841629i | \(-0.318403\pi\) |
−0.264084 | + | 0.964500i | \(0.585070\pi\) | |||||||
\(942\) | 6.82022 | − | 25.7196i | 0.222215 | − | 0.837990i | ||||
\(943\) | −0.999439 | − | 4.70199i | −0.0325462 | − | 0.153118i | ||||
\(944\) | 10.5495 | + | 23.6945i | 0.343356 | + | 0.771190i | ||||
\(945\) | −20.2898 | − | 10.1404i | −0.660028 | − | 0.329868i | ||||
\(946\) | 4.58706 | − | 14.1175i | 0.149138 | − | 0.459000i | ||||
\(947\) | 5.71879 | − | 2.54617i | 0.185836 | − | 0.0827394i | −0.311709 | − | 0.950177i | \(-0.600902\pi\) |
0.497545 | + | 0.867438i | \(0.334235\pi\) | |||||||
\(948\) | −0.734863 | − | 4.56324i | −0.0238673 | − | 0.148207i | ||||
\(949\) | 11.6044 | + | 2.46659i | 0.376695 | + | 0.0800689i | ||||
\(950\) | −9.38063 | + | 21.0692i | −0.304348 | + | 0.683577i | ||||
\(951\) | 19.9176 | + | 19.8147i | 0.645872 | + | 0.642536i | ||||
\(952\) | −14.3879 | − | 1.51223i | −0.466315 | − | 0.0490116i | ||||
\(953\) | −2.83580 | − | 2.06033i | −0.0918606 | − | 0.0667406i | 0.540907 | − | 0.841082i | \(-0.318081\pi\) |
−0.632767 | + | 0.774342i | \(0.718081\pi\) | |||||||
\(954\) | 31.6511 | − | 0.163916i | 1.02474 | − | 0.00530697i | ||||
\(955\) | 3.96733 | − | 6.87161i | 0.128380 | − | 0.222360i | ||||
\(956\) | 1.28269 | + | 2.22169i | 0.0414853 | + | 0.0718546i | ||||
\(957\) | 2.11547 | − | 1.38161i | 0.0683836 | − | 0.0446610i | ||||
\(958\) | −9.16819 | − | 10.1823i | −0.296211 | − | 0.328975i | ||||
\(959\) | 0.537351 | + | 1.65380i | 0.0173520 | + | 0.0534039i | ||||
\(960\) | −2.84388 | + | 57.0927i | −0.0917858 | + | 1.84266i | ||||
\(961\) | −25.9300 | − | 16.9893i | −0.836450 | − | 0.548043i | ||||
\(962\) | 59.1349i | 1.90658i | ||||||||
\(963\) | −36.8342 | + | 8.02895i | −1.18697 | + | 0.258729i | ||||
\(964\) | −4.41506 | + | 3.97534i | −0.142200 | + | 0.128037i | ||||
\(965\) | 8.02690 | + | 11.0481i | 0.258395 | + | 0.355650i | ||||
\(966\) | −2.76832 | + | 1.41957i | −0.0890691 | + | 0.0456739i | ||||
\(967\) | 37.7052 | + | 21.7691i | 1.21252 | + | 0.700047i | 0.963307 | − | 0.268402i | \(-0.0864955\pi\) |
0.249211 | + | 0.968449i | \(0.419829\pi\) | |||||||
\(968\) | −26.0167 | + | 2.73446i | −0.836208 | + | 0.0878890i | ||||
\(969\) | 11.5803 | + | 9.32797i | 0.372012 | + | 0.299658i | ||||
\(970\) | 5.00260 | − | 47.5965i | 0.160624 | − | 1.52823i | ||||
\(971\) | −19.0331 | − | 17.1375i | −0.610801 | − | 0.549968i | 0.304615 | − | 0.952475i | \(-0.401472\pi\) |
−0.915417 | + | 0.402507i | \(0.868139\pi\) | |||||||
\(972\) | 7.16006 | + | 5.64619i | 0.229659 | + | 0.181102i | ||||
\(973\) | 2.43325 | − | 11.4476i | 0.0780066 | − | 0.366992i | ||||
\(974\) | −7.03117 | + | 1.49452i | −0.225293 | + | 0.0478876i | ||||
\(975\) | 30.8612 | + | 79.7780i | 0.988348 | + | 2.55494i | ||||
\(976\) | 11.5085 | + | 3.73934i | 0.368378 | + | 0.119693i | ||||
\(977\) | −54.4437 | − | 17.6898i | −1.74181 | − | 0.565948i | −0.746739 | − | 0.665117i | \(-0.768381\pi\) |
−0.995071 | + | 0.0991693i | \(0.968381\pi\) | |||||||
\(978\) | 9.71550 | + | 25.1152i | 0.310667 | + | 0.803095i | ||||
\(979\) | −3.84774 | + | 0.817863i | −0.122974 | + | 0.0261390i | ||||
\(980\) | 2.58744 | − | 12.1730i | 0.0826528 | − | 0.388851i | ||||
\(981\) | 26.3244 | + | 15.0172i | 0.840473 | + | 0.479461i | ||||
\(982\) | −34.8230 | − | 31.3547i | −1.11125 | − | 1.00057i | ||||
\(983\) | −4.92386 | + | 46.8474i | −0.157047 | + | 1.49420i | 0.577919 | + | 0.816094i | \(0.303865\pi\) |
−0.734965 | + | 0.678105i | \(0.762802\pi\) | |||||||
\(984\) | −15.3189 | − | 12.3395i | −0.488348 | − | 0.393367i | ||||
\(985\) | −8.97424 | + | 0.943231i | −0.285943 | + | 0.0300538i | ||||
\(986\) | 3.86033 | + | 2.22876i | 0.122938 | + | 0.0709783i | ||||
\(987\) | 13.5238 | − | 6.93488i | 0.430467 | − | 0.220740i | ||||
\(988\) | −3.92480 | − | 5.40203i | −0.124865 | − | 0.171861i | ||||
\(989\) | −7.64500 | + | 6.88359i | −0.243097 | + | 0.218885i | ||||
\(990\) | 4.51509 | + | 20.7138i | 0.143499 | + | 0.658327i | ||||
\(991\) | 24.2125i | 0.769137i | 0.923097 | + | 0.384568i | \(0.125650\pi\) | ||||
−0.923097 | + | 0.384568i | \(0.874350\pi\) | |||||||
\(992\) | 17.0213 | + | 5.07959i | 0.540428 | + | 0.161277i | ||||
\(993\) | 0.809297 | − | 16.2471i | 0.0256822 | − | 0.515588i | ||||
\(994\) | −3.38649 | − | 10.4226i | −0.107413 | − | 0.330583i | ||||
\(995\) | −24.3036 | − | 26.9918i | −0.770474 | − | 0.855699i | ||||
\(996\) | −4.35736 | + | 2.84577i | −0.138068 | + | 0.0901718i | ||||
\(997\) | 15.9655 | + | 27.6531i | 0.505634 | + | 0.875783i | 0.999979 | + | 0.00651764i | \(0.00207464\pi\) |
−0.494345 | + | 0.869266i | \(0.664592\pi\) | |||||||
\(998\) | 1.31791 | − | 2.28268i | 0.0417176 | − | 0.0722570i | ||||
\(999\) | 47.8554 | + | 2.13537i | 1.51408 | + | 0.0675600i |
(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 | 93.2.p.b.11.4 | ✓ | 64 | |
3.2 | odd | 2 | inner | 93.2.p.b.11.5 | yes | 64 | |
31.17 | odd | 30 | inner | 93.2.p.b.17.5 | yes | 64 | |
93.17 | even | 30 | inner | 93.2.p.b.17.4 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
93.2.p.b.11.4 | ✓ | 64 | 1.1 | even | 1 | trivial | |
93.2.p.b.11.5 | yes | 64 | 3.2 | odd | 2 | inner | |
93.2.p.b.17.4 | yes | 64 | 93.17 | even | 30 | inner | |
93.2.p.b.17.5 | yes | 64 | 31.17 | odd | 30 | inner |