Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(5,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([35, 29]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.bn (of order \(42\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 5.10 | ||
Character | \(\chi\) | \(=\) | 441.5 |
Dual form | 441.2.bn.a.353.10 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{29}{42}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.52262 | + | 1.21425i | −1.07666 | + | 0.858604i | −0.990477 | − | 0.137675i | \(-0.956037\pi\) |
−0.0861785 | + | 0.996280i | \(0.527466\pi\) | |||||||
\(3\) | 0.820482 | + | 1.52539i | 0.473706 | + | 0.880683i | ||||
\(4\) | 0.398931 | − | 1.74783i | 0.199465 | − | 0.873915i | ||||
\(5\) | 0.733166 | + | 0.499864i | 0.327882 | + | 0.223546i | 0.716061 | − | 0.698038i | \(-0.245943\pi\) |
−0.388179 | + | 0.921584i | \(0.626896\pi\) | |||||||
\(6\) | −3.10149 | − | 1.32632i | −1.26618 | − | 0.541467i | ||||
\(7\) | 2.50828 | − | 0.841742i | 0.948041 | − | 0.318149i | ||||
\(8\) | −0.175099 | − | 0.363598i | −0.0619070 | − | 0.128551i | ||||
\(9\) | −1.65362 | + | 2.50311i | −0.551206 | + | 0.834369i | ||||
\(10\) | −1.72330 | + | 0.129143i | −0.544954 | + | 0.0408386i | ||||
\(11\) | −0.259396 | − | 1.72098i | −0.0782108 | − | 0.518895i | −0.993293 | − | 0.115627i | \(-0.963112\pi\) |
0.915082 | − | 0.403268i | \(-0.132126\pi\) | |||||||
\(12\) | 2.99344 | − | 0.825540i | 0.864131 | − | 0.238313i | ||||
\(13\) | 0.961736 | + | 6.38070i | 0.266738 | + | 1.76969i | 0.574773 | + | 0.818313i | \(0.305091\pi\) |
−0.308035 | + | 0.951375i | \(0.599671\pi\) | |||||||
\(14\) | −2.79708 | + | 4.32733i | −0.747550 | + | 1.15653i | ||||
\(15\) | −0.160937 | + | 1.52849i | −0.0415538 | + | 0.394655i | ||||
\(16\) | 3.93859 | + | 1.89672i | 0.984646 | + | 0.474181i | ||||
\(17\) | −5.14982 | + | 4.77833i | −1.24901 | + | 1.15892i | −0.268329 | + | 0.963327i | \(0.586471\pi\) |
−0.980686 | + | 0.195589i | \(0.937338\pi\) | |||||||
\(18\) | −0.521565 | − | 5.81919i | −0.122934 | − | 1.37160i | ||||
\(19\) | 1.61414 | + | 0.931927i | 0.370310 | + | 0.213799i | 0.673594 | − | 0.739102i | \(-0.264750\pi\) |
−0.303284 | + | 0.952900i | \(0.598083\pi\) | |||||||
\(20\) | 1.16616 | − | 1.08204i | 0.260762 | − | 0.241951i | ||||
\(21\) | 3.34198 | + | 3.13547i | 0.729281 | + | 0.684215i | ||||
\(22\) | 2.48466 | + | 2.30543i | 0.529731 | + | 0.491519i | ||||
\(23\) | −0.628183 | − | 2.03652i | −0.130985 | − | 0.424644i | 0.866193 | − | 0.499709i | \(-0.166560\pi\) |
−0.997179 | + | 0.0750653i | \(0.976083\pi\) | |||||||
\(24\) | 0.410962 | − | 0.565420i | 0.0838872 | − | 0.115416i | ||||
\(25\) | −1.53904 | − | 3.92140i | −0.307807 | − | 0.784280i | ||||
\(26\) | −9.21213 | − | 8.54761i | −1.80665 | − | 1.67632i | ||||
\(27\) | −5.17497 | − | 0.468653i | −0.995924 | − | 0.0901923i | ||||
\(28\) | −0.470592 | − | 4.71985i | −0.0889336 | − | 0.891967i | ||||
\(29\) | 5.96430 | + | 6.42799i | 1.10754 | + | 1.19365i | 0.979408 | + | 0.201891i | \(0.0647087\pi\) |
0.128135 | + | 0.991757i | \(0.459101\pi\) | |||||||
\(30\) | −1.61093 | − | 2.52273i | −0.294114 | − | 0.460586i | ||||
\(31\) | 4.40723i | 0.791562i | 0.918345 | + | 0.395781i | \(0.129526\pi\) | ||||
−0.918345 | + | 0.395781i | \(0.870474\pi\) | |||||||
\(32\) | −7.51318 | + | 1.71483i | −1.32816 | + | 0.303143i | ||||
\(33\) | 2.41233 | − | 1.80771i | 0.419933 | − | 0.314682i | ||||
\(34\) | 2.03913 | − | 13.5288i | 0.349708 | − | 2.32016i | ||||
\(35\) | 2.25974 | + | 0.636663i | 0.381966 | + | 0.107616i | ||||
\(36\) | 3.71533 | + | 3.88881i | 0.619222 | + | 0.648135i | ||||
\(37\) | 0.627488 | + | 0.193554i | 0.103158 | + | 0.0318201i | 0.345905 | − | 0.938270i | \(-0.387572\pi\) |
−0.242746 | + | 0.970090i | \(0.578048\pi\) | |||||||
\(38\) | −3.58932 | + | 0.541004i | −0.582265 | + | 0.0877624i | ||||
\(39\) | −8.94396 | + | 6.70227i | −1.43218 | + | 1.07322i | ||||
\(40\) | 0.0533725 | − | 0.354104i | 0.00843894 | − | 0.0559887i | ||||
\(41\) | 0.0513860 | − | 0.685699i | 0.00802515 | − | 0.107088i | −0.991753 | − | 0.128166i | \(-0.959091\pi\) |
0.999778 | + | 0.0210782i | \(0.00670990\pi\) | |||||||
\(42\) | −8.89582 | − | 0.716125i | −1.37265 | − | 0.110500i | ||||
\(43\) | −0.767926 | − | 10.2473i | −0.117108 | − | 1.56269i | −0.678162 | − | 0.734913i | \(-0.737223\pi\) |
0.561054 | − | 0.827779i | \(-0.310396\pi\) | |||||||
\(44\) | −3.11146 | − | 0.233172i | −0.469070 | − | 0.0351520i | ||||
\(45\) | −2.46359 | + | 1.00861i | −0.367251 | + | 0.150355i | ||||
\(46\) | 3.42933 | + | 2.33808i | 0.505627 | + | 0.344731i | ||||
\(47\) | 0.546950 | + | 0.685853i | 0.0797808 | + | 0.100042i | 0.820120 | − | 0.572191i | \(-0.193907\pi\) |
−0.740339 | + | 0.672233i | \(0.765335\pi\) | |||||||
\(48\) | 0.338301 | + | 7.56410i | 0.0488296 | + | 1.09178i | ||||
\(49\) | 5.58294 | − | 4.22265i | 0.797563 | − | 0.603236i | ||||
\(50\) | 7.10493 | + | 4.10203i | 1.00479 | + | 0.580115i | ||||
\(51\) | −11.5142 | − | 3.93493i | −1.61230 | − | 0.551001i | ||||
\(52\) | 11.5361 | + | 0.864508i | 1.59976 | + | 0.119886i | ||||
\(53\) | −1.10586 | − | 3.58512i | −0.151902 | − | 0.492454i | 0.847354 | − | 0.531029i | \(-0.178194\pi\) |
−0.999256 | + | 0.0385748i | \(0.987718\pi\) | |||||||
\(54\) | 8.44859 | − | 5.57013i | 1.14971 | − | 0.757999i | ||||
\(55\) | 0.670076 | − | 1.39143i | 0.0903530 | − | 0.187620i | ||||
\(56\) | −0.745254 | − | 0.764617i | −0.0995888 | − | 0.102176i | ||||
\(57\) | −0.0971730 | + | 3.22683i | −0.0128709 | + | 0.427404i | ||||
\(58\) | −16.8866 | − | 2.54524i | −2.21731 | − | 0.334206i | ||||
\(59\) | −7.57402 | − | 3.64746i | −0.986053 | − | 0.474858i | −0.129870 | − | 0.991531i | \(-0.541456\pi\) |
−0.856183 | + | 0.516673i | \(0.827170\pi\) | |||||||
\(60\) | 2.60734 | + | 0.891054i | 0.336607 | + | 0.115035i | ||||
\(61\) | −7.26411 | + | 1.65798i | −0.930074 | + | 0.212283i | −0.660612 | − | 0.750728i | \(-0.729703\pi\) |
−0.269462 | + | 0.963011i | \(0.586846\pi\) | |||||||
\(62\) | −5.35148 | − | 6.71054i | −0.679639 | − | 0.852240i | ||||
\(63\) | −2.04076 | + | 7.67042i | −0.257112 | + | 0.966382i | ||||
\(64\) | 3.90632 | − | 4.89837i | 0.488290 | − | 0.612297i | ||||
\(65\) | −2.48437 | + | 5.15885i | −0.308149 | + | 0.639877i | ||||
\(66\) | −1.47805 | + | 5.68163i | −0.181936 | + | 0.699361i | ||||
\(67\) | −5.14068 | −0.628034 | −0.314017 | − | 0.949417i | \(-0.601675\pi\) | ||||
−0.314017 | + | 0.949417i | \(0.601675\pi\) | |||||||
\(68\) | 6.29730 | + | 10.9072i | 0.763659 | + | 1.32270i | ||||
\(69\) | 2.59107 | − | 2.62915i | 0.311928 | − | 0.316513i | ||||
\(70\) | −4.21380 | + | 1.77450i | −0.503646 | + | 0.212093i | ||||
\(71\) | 15.2527 | + | 3.48133i | 1.81016 | + | 0.413157i | 0.987790 | − | 0.155793i | \(-0.0497934\pi\) |
0.822371 | + | 0.568951i | \(0.192651\pi\) | |||||||
\(72\) | 1.19967 | + | 0.162959i | 0.141383 | + | 0.0192049i | ||||
\(73\) | −0.490611 | + | 3.25499i | −0.0574217 | + | 0.380968i | 0.941600 | + | 0.336735i | \(0.109323\pi\) |
−0.999021 | + | 0.0442333i | \(0.985916\pi\) | |||||||
\(74\) | −1.19045 | + | 0.467217i | −0.138387 | + | 0.0543129i | ||||
\(75\) | 4.71891 | − | 5.56507i | 0.544892 | − | 0.642599i | ||||
\(76\) | 2.27278 | − | 2.44948i | 0.260706 | − | 0.280974i | ||||
\(77\) | −2.09926 | − | 4.09835i | −0.239233 | − | 0.467051i | ||||
\(78\) | 5.48003 | − | 21.0652i | 0.620491 | − | 2.38517i | ||||
\(79\) | 17.5657 | 1.97629 | 0.988145 | − | 0.153522i | \(-0.0490615\pi\) | ||||
0.988145 | + | 0.153522i | \(0.0490615\pi\) | |||||||
\(80\) | 1.93953 | + | 3.35937i | 0.216847 | + | 0.375589i | ||||
\(81\) | −3.53110 | − | 8.27837i | −0.392344 | − | 0.919818i | ||||
\(82\) | 0.754368 | + | 1.10646i | 0.0833060 | + | 0.122188i | ||||
\(83\) | 5.21683 | + | 0.786310i | 0.572621 | + | 0.0863087i | 0.428968 | − | 0.903319i | \(-0.358877\pi\) |
0.143653 | + | 0.989628i | \(0.454115\pi\) | |||||||
\(84\) | 6.81349 | − | 4.59039i | 0.743412 | − | 0.500852i | ||||
\(85\) | −6.16419 | + | 0.929103i | −0.668601 | + | 0.100775i | ||||
\(86\) | 13.6120 | + | 14.6702i | 1.46782 | + | 1.58193i | ||||
\(87\) | −4.91157 | + | 14.3719i | −0.526576 | + | 1.54083i | ||||
\(88\) | −0.580324 | + | 0.395658i | −0.0618627 | + | 0.0421773i | ||||
\(89\) | 2.70038 | + | 6.88046i | 0.286240 | + | 0.729327i | 0.999593 | + | 0.0285225i | \(0.00908023\pi\) |
−0.713353 | + | 0.700805i | \(0.752825\pi\) | |||||||
\(90\) | 2.52641 | − | 4.52715i | 0.266307 | − | 0.477203i | ||||
\(91\) | 7.78321 | + | 15.1951i | 0.815902 | + | 1.59287i | ||||
\(92\) | −3.81009 | + | 0.285527i | −0.397230 | + | 0.0297682i | ||||
\(93\) | −6.72274 | + | 3.61605i | −0.697115 | + | 0.374967i | ||||
\(94\) | −1.66559 | − | 0.380161i | −0.171793 | − | 0.0392106i | ||||
\(95\) | 0.717600 | + | 1.49011i | 0.0736242 | + | 0.152882i | ||||
\(96\) | −8.78022 | − | 10.0535i | −0.896128 | − | 1.02608i | ||||
\(97\) | 6.08947 | − | 3.51576i | 0.618292 | − | 0.356971i | −0.157912 | − | 0.987453i | \(-0.550476\pi\) |
0.776204 | + | 0.630482i | \(0.217143\pi\) | |||||||
\(98\) | −3.37335 | + | 13.2086i | −0.340760 | + | 1.33427i | ||||
\(99\) | 4.73674 | + | 2.19654i | 0.476060 | + | 0.220761i | ||||
\(100\) | −7.46791 | + | 1.12561i | −0.746791 | + | 0.112561i | ||||
\(101\) | 1.30889 | − | 17.4659i | 0.130240 | − | 1.73793i | −0.424083 | − | 0.905624i | \(-0.639403\pi\) |
0.554322 | − | 0.832302i | \(-0.312978\pi\) | |||||||
\(102\) | 22.3097 | − | 7.98964i | 2.20899 | − | 0.791092i | ||||
\(103\) | −5.79024 | + | 8.49272i | −0.570529 | + | 0.836812i | −0.997730 | − | 0.0673445i | \(-0.978547\pi\) |
0.427201 | + | 0.904157i | \(0.359500\pi\) | |||||||
\(104\) | 2.15161 | − | 1.46694i | 0.210983 | − | 0.143846i | ||||
\(105\) | 0.882922 | + | 3.96936i | 0.0861644 | + | 0.387370i | ||||
\(106\) | 6.03704 | + | 4.11599i | 0.586369 | + | 0.399780i | ||||
\(107\) | 5.94809 | − | 2.33445i | 0.575023 | − | 0.225680i | −0.0599668 | − | 0.998200i | \(-0.519099\pi\) |
0.634990 | + | 0.772520i | \(0.281004\pi\) | |||||||
\(108\) | −2.88358 | + | 8.85802i | −0.277473 | + | 0.852363i | ||||
\(109\) | 3.65916 | − | 9.32339i | 0.350484 | − | 0.893018i | −0.641554 | − | 0.767078i | \(-0.721710\pi\) |
0.992038 | − | 0.125940i | \(-0.0401948\pi\) | |||||||
\(110\) | 0.669268 | + | 2.93226i | 0.0638122 | + | 0.279580i | ||||
\(111\) | 0.219597 | + | 1.11597i | 0.0208432 | + | 0.105923i | ||||
\(112\) | 11.4756 | + | 1.44224i | 1.08435 | + | 0.136279i | ||||
\(113\) | −6.59716 | + | 2.58919i | −0.620609 | + | 0.243571i | −0.654749 | − | 0.755846i | \(-0.727226\pi\) |
0.0341407 | + | 0.999417i | \(0.489131\pi\) | |||||||
\(114\) | −3.77022 | − | 5.03123i | −0.353113 | − | 0.471218i | ||||
\(115\) | 0.557421 | − | 1.80711i | 0.0519798 | − | 0.168514i | ||||
\(116\) | 13.6144 | − | 7.86027i | 1.26406 | − | 0.729808i | ||||
\(117\) | −17.5619 | − | 8.14391i | −1.62360 | − | 0.752905i | ||||
\(118\) | 15.9613 | − | 3.64306i | 1.46936 | − | 0.335371i | ||||
\(119\) | −8.89507 | + | 16.3202i | −0.815409 | + | 1.49607i | ||||
\(120\) | 0.583937 | − | 0.209122i | 0.0533059 | − | 0.0190901i | ||||
\(121\) | 7.61682 | − | 2.34948i | 0.692438 | − | 0.213589i | ||||
\(122\) | 9.04728 | − | 11.3449i | 0.819102 | − | 1.02712i | ||||
\(123\) | 1.08812 | − | 0.484220i | 0.0981123 | − | 0.0436607i | ||||
\(124\) | 7.70309 | + | 1.75818i | 0.691758 | + | 0.157889i | ||||
\(125\) | 1.81907 | − | 7.96988i | 0.162703 | − | 0.712848i | ||||
\(126\) | −6.20649 | − | 14.1571i | −0.552918 | − | 1.26122i | ||||
\(127\) | −0.106368 | − | 0.466029i | −0.00943864 | − | 0.0413534i | 0.969989 | − | 0.243148i | \(-0.0781799\pi\) |
−0.979428 | + | 0.201794i | \(0.935323\pi\) | |||||||
\(128\) | − | 3.21118i | − | 0.283831i | ||||||
\(129\) | 15.0010 | − | 9.57908i | 1.32076 | − | 0.843391i | ||||
\(130\) | −2.48138 | − | 10.8716i | −0.217631 | − | 0.953505i | ||||
\(131\) | 0.0666484 | + | 0.889361i | 0.00582310 | + | 0.0777038i | 0.999358 | − | 0.0358214i | \(-0.0114048\pi\) |
−0.993535 | + | 0.113525i | \(0.963786\pi\) | |||||||
\(132\) | −2.19722 | − | 4.93750i | −0.191244 | − | 0.429754i | ||||
\(133\) | 4.83317 | + | 0.978840i | 0.419089 | + | 0.0848762i | ||||
\(134\) | 7.82730 | − | 6.24207i | 0.676176 | − | 0.539232i | ||||
\(135\) | −3.55986 | − | 2.93039i | −0.306384 | − | 0.252208i | ||||
\(136\) | 2.63912 | + | 1.03578i | 0.226303 | + | 0.0888173i | ||||
\(137\) | 6.62627 | + | 9.71895i | 0.566120 | + | 0.830346i | 0.997414 | − | 0.0718656i | \(-0.0228953\pi\) |
−0.431294 | + | 0.902211i | \(0.641943\pi\) | |||||||
\(138\) | −0.752771 | + | 7.14941i | −0.0640801 | + | 0.608598i | ||||
\(139\) | 15.5920 | + | 1.16846i | 1.32250 | + | 0.0991073i | 0.717185 | − | 0.696882i | \(-0.245430\pi\) |
0.605310 | + | 0.795990i | \(0.293049\pi\) | |||||||
\(140\) | 2.01426 | − | 3.69567i | 0.170236 | − | 0.312341i | ||||
\(141\) | −0.597430 | + | 1.39704i | −0.0503127 | + | 0.117652i | ||||
\(142\) | −27.4513 | + | 13.2198i | −2.30366 | + | 1.10938i | ||||
\(143\) | 10.7316 | − | 3.31025i | 0.897420 | − | 0.276817i | ||||
\(144\) | −11.2606 | + | 6.72225i | −0.938385 | + | 0.560188i | ||||
\(145\) | 1.15970 | + | 7.69413i | 0.0963081 | + | 0.638963i | ||||
\(146\) | −3.20536 | − | 5.55185i | −0.265278 | − | 0.459474i | ||||
\(147\) | 11.0219 | + | 5.05154i | 0.909070 | + | 0.416644i | ||||
\(148\) | 0.588624 | − | 1.01953i | 0.0483846 | − | 0.0838046i | ||||
\(149\) | 5.15881 | + | 2.02468i | 0.422626 | + | 0.165868i | 0.567116 | − | 0.823638i | \(-0.308059\pi\) |
−0.144490 | + | 0.989506i | \(0.546154\pi\) | |||||||
\(150\) | −0.427723 | + | 14.2034i | −0.0349235 | + | 1.15970i | ||||
\(151\) | −10.6184 | − | 9.85240i | −0.864110 | − | 0.801777i | 0.117421 | − | 0.993082i | \(-0.462537\pi\) |
−0.981531 | + | 0.191305i | \(0.938728\pi\) | |||||||
\(152\) | 0.0562107 | − | 0.750079i | 0.00455929 | − | 0.0608395i | ||||
\(153\) | −3.44485 | − | 20.7921i | −0.278500 | − | 1.68094i | ||||
\(154\) | 8.17280 | + | 3.69122i | 0.658583 | + | 0.297447i | ||||
\(155\) | −2.20302 | + | 3.23123i | −0.176951 | + | 0.259539i | ||||
\(156\) | 8.14642 | + | 18.3063i | 0.652235 | + | 1.46567i | ||||
\(157\) | −6.98562 | + | 14.5058i | −0.557513 | + | 1.15769i | 0.411667 | + | 0.911335i | \(0.364947\pi\) |
−0.969180 | + | 0.246354i | \(0.920767\pi\) | |||||||
\(158\) | −26.7458 | + | 21.3291i | −2.12779 | + | 1.69685i | ||||
\(159\) | 4.56136 | − | 4.62840i | 0.361739 | − | 0.367056i | ||||
\(160\) | −6.36560 | − | 2.49831i | −0.503245 | − | 0.197509i | ||||
\(161\) | −3.28988 | − | 4.57939i | −0.259279 | − | 0.360907i | ||||
\(162\) | 15.4285 | + | 8.31718i | 1.21218 | + | 0.653460i | ||||
\(163\) | −9.51967 | + | 6.49040i | −0.745638 | + | 0.508368i | −0.875532 | − | 0.483160i | \(-0.839489\pi\) |
0.129894 | + | 0.991528i | \(0.458536\pi\) | |||||||
\(164\) | −1.17799 | − | 0.363361i | −0.0919852 | − | 0.0283737i | ||||
\(165\) | 2.67225 | − | 0.119515i | 0.208034 | − | 0.00930426i | ||||
\(166\) | −8.89803 | + | 5.13728i | −0.690621 | + | 0.398730i | ||||
\(167\) | 19.8325 | + | 6.11753i | 1.53469 | + | 0.473388i | 0.943004 | − | 0.332782i | \(-0.107987\pi\) |
0.591684 | + | 0.806170i | \(0.298463\pi\) | |||||||
\(168\) | 0.554869 | − | 1.76416i | 0.0428091 | − | 0.136108i | ||||
\(169\) | −27.3660 | + | 8.44128i | −2.10507 | + | 0.649330i | ||||
\(170\) | 8.25757 | − | 8.89955i | 0.633327 | − | 0.682564i | ||||
\(171\) | −5.00189 | + | 2.49933i | −0.382504 | + | 0.191128i | ||||
\(172\) | −18.2168 | − | 2.74574i | −1.38902 | − | 0.209361i | ||||
\(173\) | 1.03697 | − | 4.54324i | 0.0788390 | − | 0.345416i | −0.920089 | − | 0.391710i | \(-0.871884\pi\) |
0.998928 | + | 0.0462933i | \(0.0147409\pi\) | |||||||
\(174\) | −9.97265 | − | 27.8469i | −0.756024 | − | 2.11107i | ||||
\(175\) | −7.16114 | − | 8.54050i | −0.541332 | − | 0.645601i | ||||
\(176\) | 2.24257 | − | 7.27022i | 0.169040 | − | 0.548014i | ||||
\(177\) | −0.650564 | − | 14.5460i | −0.0488994 | − | 1.09334i | ||||
\(178\) | −12.4663 | − | 7.19739i | −0.934385 | − | 0.539468i | ||||
\(179\) | 4.54928 | + | 4.90296i | 0.340029 | + | 0.366464i | 0.879797 | − | 0.475350i | \(-0.157678\pi\) |
−0.539768 | + | 0.841814i | \(0.681488\pi\) | |||||||
\(180\) | 0.780077 | + | 4.70831i | 0.0581435 | + | 0.350936i | ||||
\(181\) | −8.30050 | − | 6.61943i | −0.616971 | − | 0.492018i | 0.264418 | − | 0.964408i | \(-0.414820\pi\) |
−0.881390 | + | 0.472390i | \(0.843391\pi\) | |||||||
\(182\) | −30.3015 | − | 13.6856i | −2.24610 | − | 1.01444i | ||||
\(183\) | −8.48914 | − | 9.72023i | −0.627535 | − | 0.718540i | ||||
\(184\) | −0.630479 | + | 0.584999i | −0.0464796 | + | 0.0431267i | ||||
\(185\) | 0.363302 | + | 0.455566i | 0.0267105 | + | 0.0334939i | ||||
\(186\) | 5.84539 | − | 13.6690i | 0.428605 | − | 1.00226i | ||||
\(187\) | 9.55925 | + | 7.62325i | 0.699042 | + | 0.557467i | ||||
\(188\) | 1.41695 | − | 0.682367i | 0.103342 | − | 0.0497668i | ||||
\(189\) | −13.3748 | + | 3.18048i | −0.972872 | + | 0.231346i | ||||
\(190\) | −2.90200 | − | 1.39753i | −0.210533 | − | 0.101387i | ||||
\(191\) | −7.51962 | − | 15.6146i | −0.544100 | − | 1.12984i | −0.973914 | − | 0.226918i | \(-0.927135\pi\) |
0.429813 | − | 0.902918i | \(-0.358579\pi\) | |||||||
\(192\) | 10.6770 | + | 1.93963i | 0.770545 | + | 0.139981i | ||||
\(193\) | −1.51161 | + | 0.727955i | −0.108808 | + | 0.0523994i | −0.487496 | − | 0.873125i | \(-0.662090\pi\) |
0.378688 | + | 0.925524i | \(0.376375\pi\) | |||||||
\(194\) | −5.00295 | + | 12.7473i | −0.359191 | + | 0.915203i | ||||
\(195\) | −9.90764 | + | 0.443115i | −0.709501 | + | 0.0317321i | ||||
\(196\) | −5.15327 | − | 11.4426i | −0.368091 | − | 0.817327i | ||||
\(197\) | − | 0.608756i | − | 0.0433721i | −0.999765 | − | 0.0216860i | \(-0.993097\pi\) | ||
0.999765 | − | 0.0216860i | \(-0.00690342\pi\) | |||||||
\(198\) | −9.87941 | + | 2.40708i | −0.702099 | + | 0.171063i | ||||
\(199\) | −7.00402 | + | 10.2730i | −0.496502 | + | 0.728234i | −0.989931 | − | 0.141552i | \(-0.954791\pi\) |
0.493429 | + | 0.869786i | \(0.335743\pi\) | |||||||
\(200\) | −1.15633 | + | 1.24623i | −0.0817648 | + | 0.0881215i | ||||
\(201\) | −4.21783 | − | 7.84153i | −0.297503 | − | 0.553099i | ||||
\(202\) | 19.2151 | + | 28.1833i | 1.35197 | + | 1.98297i | ||||
\(203\) | 20.3709 | + | 11.1028i | 1.42975 | + | 0.779263i | ||||
\(204\) | −11.4710 | + | 18.5550i | −0.803127 | + | 1.29911i | ||||
\(205\) | 0.380431 | − | 0.477045i | 0.0265704 | − | 0.0333183i | ||||
\(206\) | −1.49594 | − | 19.9620i | −0.104227 | − | 1.39082i | ||||
\(207\) | 6.13640 | + | 1.79521i | 0.426509 | + | 0.124776i | ||||
\(208\) | −8.31454 | + | 26.9551i | −0.576510 | + | 1.86900i | ||||
\(209\) | 1.18512 | − | 3.01965i | 0.0819767 | − | 0.208873i | ||||
\(210\) | −6.16415 | − | 4.97174i | −0.425367 | − | 0.343083i | ||||
\(211\) | −5.66218 | − | 14.4270i | −0.389801 | − | 0.993196i | −0.982248 | − | 0.187587i | \(-0.939933\pi\) |
0.592447 | − | 0.805609i | \(-0.298162\pi\) | |||||||
\(212\) | −6.70735 | + | 0.502646i | −0.460662 | + | 0.0345219i | ||||
\(213\) | 7.20419 | + | 26.1226i | 0.493623 | + | 1.78989i | ||||
\(214\) | −6.22207 | + | 10.7769i | −0.425332 | + | 0.736697i | ||||
\(215\) | 4.55922 | − | 7.89680i | 0.310936 | − | 0.538557i | ||||
\(216\) | 0.735734 | + | 1.96367i | 0.0500604 | + | 0.133611i | ||||
\(217\) | 3.70975 | + | 11.0546i | 0.251834 | + | 0.750433i | ||||
\(218\) | 5.74941 | + | 18.6391i | 0.389399 | + | 1.26240i | ||||
\(219\) | −5.36767 | + | 1.92229i | −0.362713 | + | 0.129896i | ||||
\(220\) | −2.16466 | − | 1.72626i | −0.145942 | − | 0.116385i | ||||
\(221\) | −35.4419 | − | 28.2640i | −2.38408 | − | 1.90124i | ||||
\(222\) | −1.68943 | − | 1.43255i | −0.113387 | − | 0.0961467i | ||||
\(223\) | −0.381537 | − | 1.23691i | −0.0255496 | − | 0.0828298i | 0.941900 | − | 0.335893i | \(-0.109038\pi\) |
−0.967450 | + | 0.253063i | \(0.918562\pi\) | |||||||
\(224\) | −17.4017 | + | 10.6254i | −1.16270 | + | 0.709943i | ||||
\(225\) | 12.3607 | + | 2.63212i | 0.824044 | + | 0.175475i | ||||
\(226\) | 6.90105 | − | 11.9530i | 0.459051 | − | 0.795099i | ||||
\(227\) | 1.92759 | − | 3.33868i | 0.127938 | − | 0.221596i | −0.794939 | − | 0.606689i | \(-0.792497\pi\) |
0.922878 | + | 0.385093i | \(0.125831\pi\) | |||||||
\(228\) | 5.60118 | + | 1.45712i | 0.370947 | + | 0.0965003i | ||||
\(229\) | −20.0248 | + | 1.50065i | −1.32327 | + | 0.0991657i | −0.717549 | − | 0.696508i | \(-0.754736\pi\) |
−0.605725 | + | 0.795674i | \(0.707117\pi\) | |||||||
\(230\) | 1.34555 | + | 3.42840i | 0.0887228 | + | 0.226062i | ||||
\(231\) | 4.52917 | − | 6.56481i | 0.297998 | − | 0.431933i | ||||
\(232\) | 1.29286 | − | 3.29415i | 0.0848802 | − | 0.216271i | ||||
\(233\) | 5.92015 | − | 19.1926i | 0.387842 | − | 1.25735i | −0.525722 | − | 0.850656i | \(-0.676205\pi\) |
0.913564 | − | 0.406695i | \(-0.133319\pi\) | |||||||
\(234\) | 36.6289 | − | 8.92448i | 2.39451 | − | 0.583411i | ||||
\(235\) | 0.0581715 | + | 0.776245i | 0.00379469 | + | 0.0506367i | ||||
\(236\) | −9.39665 | + | 11.7830i | −0.611670 | + | 0.767009i | ||||
\(237\) | 14.4123 | + | 26.7944i | 0.936180 | + | 1.74049i | ||||
\(238\) | −6.27301 | − | 35.6504i | −0.406619 | − | 2.31087i | ||||
\(239\) | 5.78388 | + | 8.48340i | 0.374128 | + | 0.548746i | 0.966417 | − | 0.256981i | \(-0.0827277\pi\) |
−0.592288 | + | 0.805726i | \(0.701775\pi\) | |||||||
\(240\) | −3.53299 | + | 5.71485i | −0.228054 | + | 0.368892i | ||||
\(241\) | 15.3687 | − | 16.5635i | 0.989983 | − | 1.06695i | −0.00777188 | − | 0.999970i | \(-0.502474\pi\) |
0.997754 | − | 0.0669777i | \(-0.0213356\pi\) | |||||||
\(242\) | −8.74468 | + | 12.8261i | −0.562129 | + | 0.824492i | ||||
\(243\) | 9.73052 | − | 12.1785i | 0.624213 | − | 0.781254i | ||||
\(244\) | 13.3579i | 0.855149i | ||||||||
\(245\) | 6.20398 | − | 0.305193i | 0.396358 | − | 0.0194981i | ||||
\(246\) | −1.06883 | + | 2.05853i | −0.0681460 | + | 0.131247i | ||||
\(247\) | −4.39397 | + | 11.1956i | −0.279581 | + | 0.712362i | ||||
\(248\) | 1.60246 | − | 0.771704i | 0.101756 | − | 0.0490032i | ||||
\(249\) | 3.08089 | + | 8.60284i | 0.195243 | + | 0.545183i | ||||
\(250\) | 6.90767 | + | 14.3439i | 0.436879 | + | 0.907189i | ||||
\(251\) | −3.51880 | − | 1.69457i | −0.222105 | − | 0.106960i | 0.319523 | − | 0.947579i | \(-0.396477\pi\) |
−0.541628 | + | 0.840619i | \(0.682192\pi\) | |||||||
\(252\) | 12.5925 | + | 6.62688i | 0.793251 | + | 0.417454i | ||||
\(253\) | −3.34186 | + | 1.60935i | −0.210101 | + | 0.101179i | ||||
\(254\) | 0.727834 | + | 0.580428i | 0.0456684 | + | 0.0364193i | ||||
\(255\) | −6.47486 | − | 8.64048i | −0.405471 | − | 0.541088i | ||||
\(256\) | 11.7118 | + | 14.6862i | 0.731988 | + | 0.917884i | ||||
\(257\) | 5.95480 | − | 5.52524i | 0.371450 | − | 0.344655i | −0.472255 | − | 0.881462i | \(-0.656560\pi\) |
0.843705 | + | 0.536807i | \(0.180370\pi\) | |||||||
\(258\) | −11.2094 | + | 32.8002i | −0.697867 | + | 2.04205i | ||||
\(259\) | 1.73684 | − | 0.0426944i | 0.107922 | − | 0.00265290i | ||||
\(260\) | 8.02571 | + | 6.40029i | 0.497733 | + | 0.396929i | ||||
\(261\) | −25.9526 | + | 4.29986i | −1.60643 | + | 0.266154i | ||||
\(262\) | −1.18139 | − | 1.27323i | −0.0729863 | − | 0.0786605i | ||||
\(263\) | −9.56844 | − | 5.52434i | −0.590015 | − | 0.340645i | 0.175088 | − | 0.984553i | \(-0.443979\pi\) |
−0.765103 | + | 0.643907i | \(0.777312\pi\) | |||||||
\(264\) | −1.07968 | − | 0.560589i | −0.0664496 | − | 0.0345019i | ||||
\(265\) | 0.981292 | − | 3.18127i | 0.0602803 | − | 0.195424i | ||||
\(266\) | −8.54765 | + | 4.37827i | −0.524090 | + | 0.268449i | ||||
\(267\) | −8.27975 | + | 9.76442i | −0.506713 | + | 0.597573i | ||||
\(268\) | −2.05078 | + | 8.98503i | −0.125271 | + | 0.548848i | ||||
\(269\) | 26.3800 | + | 3.97615i | 1.60842 | + | 0.242430i | 0.890930 | − | 0.454141i | \(-0.150054\pi\) |
0.717488 | + | 0.696571i | \(0.245292\pi\) | |||||||
\(270\) | 8.97853 | + | 0.139315i | 0.546416 | + | 0.00847843i | ||||
\(271\) | 16.6334 | − | 17.9265i | 1.01041 | − | 1.08896i | 0.0143791 | − | 0.999897i | \(-0.495423\pi\) |
0.996026 | − | 0.0890613i | \(-0.0283867\pi\) | |||||||
\(272\) | −29.3462 | + | 9.05210i | −1.77937 | + | 0.548864i | ||||
\(273\) | −16.7924 | + | 24.3397i | −1.01632 | + | 1.47310i | ||||
\(274\) | −21.8905 | − | 6.75233i | −1.32246 | − | 0.407923i | ||||
\(275\) | −6.34943 | + | 3.66584i | −0.382885 | + | 0.221059i | ||||
\(276\) | −3.56165 | − | 5.57760i | −0.214386 | − | 0.335732i | ||||
\(277\) | 0.302824 | + | 0.0934090i | 0.0181950 | + | 0.00561240i | 0.303839 | − | 0.952723i | \(-0.401731\pi\) |
−0.285644 | + | 0.958336i | \(0.592208\pi\) | |||||||
\(278\) | −25.1595 | + | 17.1535i | −1.50897 | + | 1.02880i | ||||
\(279\) | −11.0318 | − | 7.28787i | −0.660455 | − | 0.436314i | ||||
\(280\) | −0.164191 | − | 0.933117i | −0.00981227 | − | 0.0557644i | ||||
\(281\) | −7.08910 | − | 2.78227i | −0.422900 | − | 0.165976i | 0.144341 | − | 0.989528i | \(-0.453894\pi\) |
−0.567241 | + | 0.823552i | \(0.691989\pi\) | |||||||
\(282\) | −0.786698 | − | 2.85259i | −0.0468472 | − | 0.169869i | ||||
\(283\) | 8.07702 | − | 6.44121i | 0.480129 | − | 0.382890i | −0.353306 | − | 0.935508i | \(-0.614943\pi\) |
0.833435 | + | 0.552618i | \(0.186371\pi\) | |||||||
\(284\) | 12.1695 | − | 25.2703i | 0.722129 | − | 1.49952i | ||||
\(285\) | −1.68422 | + | 2.31723i | −0.0997646 | + | 0.137261i | ||||
\(286\) | −12.3207 | + | 18.0711i | −0.728536 | + | 1.06857i | ||||
\(287\) | −0.448291 | − | 1.76318i | −0.0264618 | − | 0.104077i | ||||
\(288\) | 8.13151 | − | 21.6420i | 0.479154 | − | 1.27527i | ||||
\(289\) | 2.41775 | − | 32.2627i | 0.142221 | − | 1.89780i | ||||
\(290\) | −11.1084 | − | 10.3071i | −0.652307 | − | 0.605252i | ||||
\(291\) | 10.3592 | + | 6.40419i | 0.607267 | + | 0.375420i | ||||
\(292\) | 5.49346 | + | 2.15602i | 0.321480 | + | 0.126172i | ||||
\(293\) | 0.722665 | − | 1.25169i | 0.0422185 | − | 0.0731246i | −0.844144 | − | 0.536117i | \(-0.819891\pi\) |
0.886363 | + | 0.462992i | \(0.153224\pi\) | |||||||
\(294\) | −22.9160 | + | 5.69174i | −1.33649 | + | 0.331949i | ||||
\(295\) | −3.72978 | − | 6.46018i | −0.217156 | − | 0.376126i | ||||
\(296\) | −0.0394968 | − | 0.262044i | −0.00229571 | − | 0.0152310i | ||||
\(297\) | 0.535825 | + | 9.02759i | 0.0310917 | + | 0.523834i | ||||
\(298\) | −10.3134 | + | 3.18126i | −0.597438 | + | 0.184285i | ||||
\(299\) | 12.3903 | − | 5.96684i | 0.716548 | − | 0.345071i | ||||
\(300\) | −7.84428 | − | 10.4679i | −0.452890 | − | 0.604366i | ||||
\(301\) | −10.5517 | − | 25.0566i | −0.608191 | − | 1.44424i | ||||
\(302\) | 28.1310 | + | 2.10813i | 1.61876 | + | 0.121309i | ||||
\(303\) | 27.7163 | − | 12.3339i | 1.59226 | − | 0.708566i | ||||
\(304\) | 4.58984 | + | 6.73206i | 0.263245 | + | 0.386110i | ||||
\(305\) | −6.15457 | − | 2.41549i | −0.352409 | − | 0.138311i | ||||
\(306\) | 30.4920 | + | 27.4756i | 1.74311 | + | 1.57067i | ||||
\(307\) | −5.11126 | + | 4.07610i | −0.291715 | + | 0.232635i | −0.758401 | − | 0.651788i | \(-0.774019\pi\) |
0.466686 | + | 0.884423i | \(0.345448\pi\) | |||||||
\(308\) | −8.00069 | + | 2.03419i | −0.455881 | + | 0.115909i | ||||
\(309\) | −17.7055 | − | 1.86423i | −1.00723 | − | 0.106053i | ||||
\(310\) | −0.569164 | − | 7.59496i | −0.0323263 | − | 0.431365i | ||||
\(311\) | 2.38851 | + | 10.4647i | 0.135440 | + | 0.593400i | 0.996404 | + | 0.0847341i | \(0.0270041\pi\) |
−0.860964 | + | 0.508666i | \(0.830139\pi\) | |||||||
\(312\) | 4.00301 | + | 2.07844i | 0.226626 | + | 0.117668i | ||||
\(313\) | 3.51215i | 0.198518i | 0.995062 | + | 0.0992592i | \(0.0316473\pi\) | ||||
−0.995062 | + | 0.0992592i | \(0.968353\pi\) | |||||||
\(314\) | −6.97720 | − | 30.5691i | −0.393746 | − | 1.72512i | ||||
\(315\) | −5.33039 | + | 4.60359i | −0.300333 | + | 0.259383i | ||||
\(316\) | 7.00748 | − | 30.7018i | 0.394202 | − | 1.72711i | ||||
\(317\) | 23.1492 | + | 5.28366i | 1.30019 | + | 0.296760i | 0.815923 | − | 0.578161i | \(-0.196229\pi\) |
0.484266 | + | 0.874921i | \(0.339087\pi\) | |||||||
\(318\) | −1.32519 | + | 12.5859i | −0.0743129 | + | 0.705784i | ||||
\(319\) | 9.51532 | − | 11.9318i | 0.532756 | − | 0.668054i | ||||
\(320\) | 5.31251 | − | 1.63869i | 0.296978 | − | 0.0916056i | ||||
\(321\) | 8.44124 | + | 7.15776i | 0.471144 | + | 0.399507i | ||||
\(322\) | 10.5698 | + | 2.97794i | 0.589031 | + | 0.165954i | ||||
\(323\) | −12.7656 | + | 2.91367i | −0.710298 | + | 0.162121i | ||||
\(324\) | −15.8778 | + | 2.86926i | −0.882103 | + | 0.159404i | ||||
\(325\) | 23.5411 | − | 13.5915i | 1.30583 | − | 0.753920i | ||||
\(326\) | 6.61389 | − | 21.4417i | 0.366309 | − | 1.18755i | ||||
\(327\) | 17.2241 | − | 2.06804i | 0.952493 | − | 0.114363i | ||||
\(328\) | −0.258316 | + | 0.101382i | −0.0142631 | + | 0.00559786i | ||||
\(329\) | 1.94921 | + | 1.25992i | 0.107464 | + | 0.0694617i | ||||
\(330\) | −3.92370 | + | 3.42676i | −0.215993 | + | 0.188637i | ||||
\(331\) | 2.39129 | + | 10.4769i | 0.131437 | + | 0.575863i | 0.997158 | + | 0.0753366i | \(0.0240031\pi\) |
−0.865721 | + | 0.500527i | \(0.833140\pi\) | |||||||
\(332\) | 3.45549 | − | 8.80444i | 0.189645 | − | 0.483207i | ||||
\(333\) | −1.52211 | + | 1.25060i | −0.0834112 | + | 0.0685327i | ||||
\(334\) | −37.6257 | + | 14.7670i | −2.05878 | + | 0.808013i | ||||
\(335\) | −3.76897 | − | 2.56964i | −0.205921 | − | 0.140395i | ||||
\(336\) | 7.21558 | + | 18.6881i | 0.393642 | + | 1.01952i | ||||
\(337\) | −9.32594 | + | 6.35832i | −0.508016 | + | 0.346360i | −0.790048 | − | 0.613046i | \(-0.789944\pi\) |
0.282031 | + | 0.959405i | \(0.408992\pi\) | |||||||
\(338\) | 31.4182 | − | 46.0820i | 1.70892 | − | 2.50653i | ||||
\(339\) | −9.36238 | − | 7.93884i | −0.508495 | − | 0.431179i | ||||
\(340\) | −0.835174 | + | 11.1446i | −0.0452936 | + | 0.604402i | ||||
\(341\) | 7.58475 | − | 1.14322i | 0.410737 | − | 0.0619087i | ||||
\(342\) | 4.58118 | − | 9.87908i | 0.247722 | − | 0.534199i | ||||
\(343\) | 10.4492 | − | 15.2910i | 0.564203 | − | 0.825636i | ||||
\(344\) | −3.59142 | + | 2.07350i | −0.193636 | + | 0.111796i | ||||
\(345\) | 3.21390 | − | 0.632422i | 0.173031 | − | 0.0340485i | ||||
\(346\) | 3.93773 | + | 8.17677i | 0.211694 | + | 0.439586i | ||||
\(347\) | 23.5602 | + | 5.37746i | 1.26478 | + | 0.288677i | 0.801746 | − | 0.597665i | \(-0.203905\pi\) |
0.463031 | + | 0.886342i | \(0.346762\pi\) | |||||||
\(348\) | 23.1603 | + | 14.3180i | 1.24152 | + | 0.767526i | ||||
\(349\) | 13.0982 | − | 0.981576i | 0.701132 | − | 0.0525426i | 0.280606 | − | 0.959823i | \(-0.409465\pi\) |
0.420526 | + | 0.907281i | \(0.361846\pi\) | |||||||
\(350\) | 21.2740 | + | 4.30853i | 1.13714 | + | 0.230301i | ||||
\(351\) | −1.98663 | − | 33.4707i | −0.106038 | − | 1.78653i | ||||
\(352\) | 4.90008 | + | 12.4852i | 0.261175 | + | 0.665464i | ||||
\(353\) | −18.1499 | + | 12.3744i | −0.966023 | + | 0.658623i | −0.940049 | − | 0.341040i | \(-0.889221\pi\) |
−0.0259736 | + | 0.999663i | \(0.508269\pi\) | |||||||
\(354\) | 18.6530 | + | 21.3581i | 0.991398 | + | 1.13517i | ||||
\(355\) | 9.44257 | + | 10.1767i | 0.501160 | + | 0.540122i | ||||
\(356\) | 13.1031 | − | 1.97498i | 0.694465 | − | 0.104674i | ||||
\(357\) | −32.1929 | − | 0.177973i | −1.70383 | − | 0.00941932i | ||||
\(358\) | −12.8803 | − | 1.94139i | −0.680743 | − | 0.102605i | ||||
\(359\) | −8.57198 | − | 12.5728i | −0.452412 | − | 0.663566i | 0.530491 | − | 0.847690i | \(-0.322007\pi\) |
−0.982903 | + | 0.184124i | \(0.941055\pi\) | |||||||
\(360\) | 0.798102 | + | 0.719149i | 0.0420637 | + | 0.0379025i | ||||
\(361\) | −7.76302 | − | 13.4460i | −0.408580 | − | 0.707682i | ||||
\(362\) | 20.6762 | 1.08672 | ||||||||
\(363\) | 9.83333 | + | 9.69090i | 0.516116 | + | 0.508640i | ||||
\(364\) | 29.6633 | − | 7.54196i | 1.55478 | − | 0.395306i | ||||
\(365\) | −1.98675 | + | 2.14121i | −0.103992 | + | 0.112076i | ||||
\(366\) | 24.7285 | + | 4.49230i | 1.29258 | + | 0.234816i | ||||
\(367\) | 13.0498 | − | 5.12168i | 0.681195 | − | 0.267349i | 0.000590145 | − | 1.00000i | \(-0.499812\pi\) |
0.680605 | + | 0.732650i | \(0.261717\pi\) | |||||||
\(368\) | 1.38856 | − | 9.21249i | 0.0723837 | − | 0.480234i | ||||
\(369\) | 1.63141 | + | 1.26251i | 0.0849276 | + | 0.0657236i | ||||
\(370\) | −1.10634 | − | 0.252516i | −0.0575160 | − | 0.0131277i | ||||
\(371\) | −5.79156 | − | 8.06163i | −0.300683 | − | 0.418539i | ||||
\(372\) | 3.63834 | + | 13.1928i | 0.188639 | + | 0.684013i | ||||
\(373\) | −6.65542 | − | 11.5275i | −0.344605 | − | 0.596873i | 0.640677 | − | 0.767810i | \(-0.278654\pi\) |
−0.985282 | + | 0.170937i | \(0.945320\pi\) | |||||||
\(374\) | −23.8117 | −1.23127 | ||||||||
\(375\) | 13.6497 | − | 3.76435i | 0.704866 | − | 0.194390i | ||||
\(376\) | 0.153604 | − | 0.318962i | 0.00792153 | − | 0.0164492i | ||||
\(377\) | −35.2790 | + | 44.2385i | −1.81696 | + | 2.27840i | ||||
\(378\) | 16.5028 | − | 21.0830i | 0.848813 | − | 1.08439i | ||||
\(379\) | 2.64629 | + | 3.31834i | 0.135931 | + | 0.170452i | 0.845138 | − | 0.534548i | \(-0.179518\pi\) |
−0.709207 | + | 0.705000i | \(0.750947\pi\) | |||||||
\(380\) | 2.89074 | − | 0.659791i | 0.148292 | − | 0.0338466i | ||||
\(381\) | 0.623602 | − | 0.544621i | 0.0319481 | − | 0.0279018i | ||||
\(382\) | 30.4096 | + | 14.6445i | 1.55589 | + | 0.749278i | ||||
\(383\) | −13.9870 | − | 2.10820i | −0.714703 | − | 0.107724i | −0.218382 | − | 0.975863i | \(-0.570078\pi\) |
−0.496321 | + | 0.868139i | \(0.665316\pi\) | |||||||
\(384\) | 4.89829 | − | 2.63471i | 0.249965 | − | 0.134452i | ||||
\(385\) | 0.509515 | − | 4.05412i | 0.0259673 | − | 0.206617i | ||||
\(386\) | 1.41770 | − | 2.94388i | 0.0721589 | − | 0.149839i | ||||
\(387\) | 26.9198 | + | 15.0228i | 1.36841 | + | 0.763654i | ||||
\(388\) | −3.71567 | − | 12.0459i | −0.188635 | − | 0.611538i | ||||
\(389\) | 7.37297 | + | 0.552528i | 0.373824 | + | 0.0280143i | 0.260318 | − | 0.965523i | \(-0.416173\pi\) |
0.113507 | + | 0.993537i | \(0.463792\pi\) | |||||||
\(390\) | 14.5475 | − | 12.7050i | 0.736643 | − | 0.643345i | ||||
\(391\) | 12.9662 | + | 7.48604i | 0.655729 | + | 0.378585i | ||||
\(392\) | −2.51292 | − | 1.29056i | −0.126921 | − | 0.0651832i | ||||
\(393\) | −1.30194 | + | 0.831369i | −0.0656740 | + | 0.0419370i | ||||
\(394\) | 0.739182 | + | 0.926905i | 0.0372395 | + | 0.0466968i | ||||
\(395\) | 12.8785 | + | 8.78045i | 0.647990 | + | 0.441792i | ||||
\(396\) | 5.72882 | − | 7.40274i | 0.287884 | − | 0.372002i | ||||
\(397\) | −6.42399 | − | 0.481412i | −0.322411 | − | 0.0241614i | −0.0874584 | − | 0.996168i | \(-0.527874\pi\) |
−0.234953 | + | 0.972007i | \(0.575494\pi\) | |||||||
\(398\) | −1.80953 | − | 24.1465i | −0.0907037 | − | 1.21036i | ||||
\(399\) | 2.47242 | + | 8.17558i | 0.123776 | + | 0.409291i | ||||
\(400\) | 1.37618 | − | 18.3639i | 0.0688092 | − | 0.918195i | ||||
\(401\) | −0.386216 | + | 2.56237i | −0.0192867 | + | 0.127959i | −0.996402 | − | 0.0847506i | \(-0.972991\pi\) |
0.977116 | + | 0.212709i | \(0.0682288\pi\) | |||||||
\(402\) | 15.9437 | + | 6.81817i | 0.795201 | + | 0.340059i | ||||
\(403\) | −28.1212 | + | 4.23859i | −1.40082 | + | 0.211139i | ||||
\(404\) | −30.0053 | − | 9.25542i | −1.49282 | − | 0.460475i | ||||
\(405\) | 1.54918 | − | 7.83449i | 0.0769793 | − | 0.389299i | ||||
\(406\) | −44.4987 | + | 7.82996i | −2.20843 | + | 0.388594i | ||||
\(407\) | 0.170335 | − | 1.13010i | 0.00844320 | − | 0.0560170i | ||||
\(408\) | 0.585388 | + | 4.87552i | 0.0289810 | + | 0.241374i | ||||
\(409\) | −16.4831 | + | 3.76217i | −0.815038 | + | 0.186027i | −0.609668 | − | 0.792657i | \(-0.708697\pi\) |
−0.205370 | + | 0.978684i | \(0.565840\pi\) | |||||||
\(410\) | 1.18830i | 0.0586858i | ||||||||
\(411\) | −9.38843 | + | 18.0819i | −0.463097 | + | 0.891912i | ||||
\(412\) | 12.5339 | + | 13.5084i | 0.617502 | + | 0.665509i | ||||
\(413\) | −22.0680 | − | 2.77347i | −1.08589 | − | 0.136473i | ||||
\(414\) | −11.5233 | + | 4.71769i | −0.566337 | + | 0.231862i | ||||
\(415\) | 3.43175 | + | 3.18420i | 0.168458 | + | 0.156306i | ||||
\(416\) | −18.1675 | − | 46.2902i | −0.890737 | − | 2.26956i | ||||
\(417\) | 11.0106 | + | 24.7425i | 0.539192 | + | 1.21165i | ||||
\(418\) | 1.86211 | + | 6.03682i | 0.0910788 | + | 0.295270i | ||||
\(419\) | −0.779193 | − | 0.722986i | −0.0380661 | − | 0.0353202i | 0.660910 | − | 0.750465i | \(-0.270170\pi\) |
−0.698976 | + | 0.715145i | \(0.746361\pi\) | |||||||
\(420\) | 7.28999 | + | 0.0403014i | 0.355715 | + | 0.00196651i | ||||
\(421\) | −2.48803 | + | 2.30856i | −0.121259 | + | 0.112512i | −0.738472 | − | 0.674284i | \(-0.764452\pi\) |
0.617213 | + | 0.786796i | \(0.288262\pi\) | |||||||
\(422\) | 26.1394 | + | 15.0916i | 1.27244 | + | 0.734646i | ||||
\(423\) | −2.62121 | + | 0.234935i | −0.127448 | + | 0.0114229i | ||||
\(424\) | −1.10991 | + | 1.02984i | −0.0539018 | + | 0.0500135i | ||||
\(425\) | 26.6635 | + | 12.8405i | 1.29337 | + | 0.622855i | ||||
\(426\) | −42.6887 | − | 31.0272i | −2.06827 | − | 1.50327i | ||||
\(427\) | −16.8248 | + | 10.2732i | −0.814210 | + | 0.497155i | ||||
\(428\) | −1.70735 | − | 11.3275i | −0.0825279 | − | 0.547537i | ||||
\(429\) | 13.8545 | + | 13.6538i | 0.668901 | + | 0.659213i | ||||
\(430\) | 2.64673 | + | 17.5599i | 0.127636 | + | 0.846812i | ||||
\(431\) | −7.67820 | + | 0.575402i | −0.369846 | + | 0.0277161i | −0.258357 | − | 0.966050i | \(-0.583181\pi\) |
−0.111489 | + | 0.993766i | \(0.535562\pi\) | |||||||
\(432\) | −19.4932 | − | 11.6613i | −0.937866 | − | 0.561056i | ||||
\(433\) | −1.87440 | − | 3.89223i | −0.0900779 | − | 0.187049i | 0.851063 | − | 0.525064i | \(-0.175959\pi\) |
−0.941141 | + | 0.338015i | \(0.890244\pi\) | |||||||
\(434\) | −19.0716 | − | 12.3274i | −0.915464 | − | 0.591732i | ||||
\(435\) | −10.7850 | + | 8.08190i | −0.517102 | + | 0.387497i | ||||
\(436\) | −14.8360 | − | 10.1150i | −0.710513 | − | 0.484420i | ||||
\(437\) | 0.883909 | − | 3.87266i | 0.0422831 | − | 0.185254i | ||||
\(438\) | 5.83878 | − | 9.44461i | 0.278988 | − | 0.451281i | ||||
\(439\) | 22.6287 | − | 18.0458i | 1.08001 | − | 0.861279i | 0.0891289 | − | 0.996020i | \(-0.471592\pi\) |
0.990881 | + | 0.134741i | \(0.0430203\pi\) | |||||||
\(440\) | −0.623250 | −0.0297123 | ||||||||
\(441\) | 1.33770 | + | 20.9574i | 0.0637001 | + | 0.997969i | ||||
\(442\) | 88.2841 | 4.19925 | ||||||||
\(443\) | −2.73430 | + | 2.18053i | −0.129910 | + | 0.103600i | −0.686289 | − | 0.727329i | \(-0.740762\pi\) |
0.556379 | + | 0.830929i | \(0.312190\pi\) | |||||||
\(444\) | 2.03813 | + | 0.0613765i | 0.0967254 | + | 0.00291280i | ||||
\(445\) | −1.45947 | + | 6.39435i | −0.0691854 | + | 0.303121i | ||||
\(446\) | 2.08286 | + | 1.42007i | 0.0986261 | + | 0.0672422i | ||||
\(447\) | 1.14428 | + | 9.53040i | 0.0541227 | + | 0.450772i | ||||
\(448\) | 5.67498 | − | 15.5746i | 0.268118 | − | 0.735831i | ||||
\(449\) | 5.95581 | + | 12.3674i | 0.281072 | + | 0.583652i | 0.992934 | − | 0.118667i | \(-0.0378622\pi\) |
−0.711862 | + | 0.702319i | \(0.752148\pi\) | |||||||
\(450\) | −22.0167 | + | 11.0012i | −1.03788 | + | 0.518602i | ||||
\(451\) | −1.19340 | + | 0.0894331i | −0.0561951 | + | 0.00421124i | ||||
\(452\) | 1.89366 | + | 12.5636i | 0.0890704 | + | 0.590943i | ||||
\(453\) | 6.31656 | − | 24.2808i | 0.296778 | − | 1.14081i | ||||
\(454\) | 1.11901 | + | 7.42412i | 0.0525175 | + | 0.348431i | ||||
\(455\) | −1.88908 | + | 15.0311i | −0.0885614 | + | 0.704667i | ||||
\(456\) | 1.19028 | − | 0.529684i | 0.0557401 | − | 0.0248047i | ||||
\(457\) | 11.9482 | + | 5.75396i | 0.558914 | + | 0.269159i | 0.691942 | − | 0.721954i | \(-0.256756\pi\) |
−0.133028 | + | 0.991112i | \(0.542470\pi\) | |||||||
\(458\) | 28.6680 | − | 26.6000i | 1.33957 | − | 1.24294i | ||||
\(459\) | 28.8896 | − | 22.3143i | 1.34845 | − | 1.04154i | ||||
\(460\) | −2.93616 | − | 1.69519i | −0.136899 | − | 0.0790387i | ||||
\(461\) | 0.137904 | − | 0.127956i | 0.00642283 | − | 0.00595951i | −0.676955 | − | 0.736025i | \(-0.736701\pi\) |
0.683378 | + | 0.730065i | \(0.260510\pi\) | |||||||
\(462\) | 1.07510 | + | 15.4953i | 0.0500183 | + | 0.720905i | ||||
\(463\) | 0.230087 | + | 0.213490i | 0.0106931 | + | 0.00992172i | 0.685501 | − | 0.728072i | \(-0.259583\pi\) |
−0.674808 | + | 0.737993i | \(0.735774\pi\) | |||||||
\(464\) | 11.2988 | + | 36.6298i | 0.524534 | + | 1.70050i | ||||
\(465\) | −6.73642 | − | 0.709287i | −0.312394 | − | 0.0328924i | ||||
\(466\) | 14.2905 | + | 36.4117i | 0.661996 | + | 1.68674i | ||||
\(467\) | −12.9114 | − | 11.9800i | −0.597468 | − | 0.554369i | 0.322397 | − | 0.946604i | \(-0.395511\pi\) |
−0.919865 | + | 0.392236i | \(0.871702\pi\) | |||||||
\(468\) | −21.2402 | + | 27.4464i | −0.981827 | + | 1.26871i | ||||
\(469\) | −12.8943 | + | 4.32712i | −0.595402 | + | 0.199808i | ||||
\(470\) | −1.03113 | − | 1.11129i | −0.0475624 | − | 0.0512601i | ||||
\(471\) | −27.8585 | + | 1.24596i | −1.28365 | + | 0.0574109i | ||||
\(472\) | 3.39256i | 0.156155i | ||||||||
\(473\) | −17.4361 | + | 3.97968i | −0.801713 | + | 0.182986i | ||||
\(474\) | −54.4796 | − | 23.2976i | −2.50233 | − | 1.07010i | ||||
\(475\) | 1.17023 | − | 7.76398i | 0.0536939 | − | 0.356236i | ||||
\(476\) | 24.9765 | + | 22.0577i | 1.14479 | + | 1.01101i | ||||
\(477\) | 10.8026 | + | 3.16032i | 0.494618 | + | 0.144701i | ||||
\(478\) | −19.1076 | − | 5.89393i | −0.873963 | − | 0.269582i | ||||
\(479\) | −5.51048 | + | 0.830572i | −0.251780 | + | 0.0379498i | −0.273720 | − | 0.961810i | \(-0.588254\pi\) |
0.0219393 | + | 0.999759i | \(0.493016\pi\) | |||||||
\(480\) | −1.41196 | − | 11.7598i | −0.0644470 | − | 0.536760i | ||||
\(481\) | −0.631535 | + | 4.18996i | −0.0287955 | + | 0.191046i | ||||
\(482\) | −3.28845 | + | 43.8813i | −0.149785 | + | 1.99874i | ||||
\(483\) | 4.28606 | − | 8.77566i | 0.195022 | − | 0.399306i | ||||
\(484\) | −1.06790 | − | 14.2502i | −0.0485411 | − | 0.647736i | ||||
\(485\) | 6.22200 | + | 0.466274i | 0.282526 | + | 0.0211724i | ||||
\(486\) | −0.0280933 | + | 30.3586i | −0.00127434 | + | 1.37709i | ||||
\(487\) | −14.0728 | − | 9.59464i | −0.637698 | − | 0.434775i | 0.200836 | − | 0.979625i | \(-0.435634\pi\) |
−0.838533 | + | 0.544850i | \(0.816587\pi\) | |||||||
\(488\) | 1.87478 | + | 2.35090i | 0.0848673 | + | 0.106420i | ||||
\(489\) | −17.7111 | − | 9.19593i | −0.800924 | − | 0.415855i | ||||
\(490\) | −9.07573 | + | 7.99787i | −0.410000 | + | 0.361307i | ||||
\(491\) | −16.6726 | − | 9.62592i | −0.752423 | − | 0.434412i | 0.0741458 | − | 0.997247i | \(-0.476377\pi\) |
−0.826569 | + | 0.562836i | \(0.809710\pi\) | |||||||
\(492\) | −0.412251 | − | 2.09502i | −0.0185857 | − | 0.0944506i | ||||
\(493\) | −61.4302 | − | 4.60355i | −2.76668 | − | 0.207334i | ||||
\(494\) | −6.90396 | − | 22.3821i | −0.310624 | − | 1.00702i | ||||
\(495\) | 2.37484 | + | 3.97816i | 0.106741 | + | 0.178805i | ||||
\(496\) | −8.35930 | + | 17.3583i | −0.375343 | + | 0.779409i | ||||
\(497\) | 41.1884 | − | 4.10669i | 1.84755 | − | 0.184210i | ||||
\(498\) | −15.1370 | − | 9.35790i | −0.678306 | − | 0.419337i | ||||
\(499\) | 5.73788 | + | 0.864846i | 0.256863 | + | 0.0387158i | 0.276211 | − | 0.961097i | \(-0.410921\pi\) |
−0.0193484 | + | 0.999813i | \(0.506159\pi\) | |||||||
\(500\) | −13.2043 | − | 6.35887i | −0.590515 | − | 0.284377i | ||||
\(501\) | 6.94064 | + | 35.2716i | 0.310085 | + | 1.57582i | ||||
\(502\) | 7.41543 | − | 1.69252i | 0.330967 | − | 0.0755410i | ||||
\(503\) | 15.1154 | + | 18.9541i | 0.673964 | + | 0.845124i | 0.994783 | − | 0.102017i | \(-0.0325296\pi\) |
−0.320819 | + | 0.947141i | \(0.603958\pi\) | |||||||
\(504\) | 3.14628 | − | 0.601068i | 0.140147 | − | 0.0267737i | ||||
\(505\) | 9.69024 | − | 12.1512i | 0.431210 | − | 0.540720i | ||||
\(506\) | 3.13423 | − | 6.50829i | 0.139333 | − | 0.289329i | ||||
\(507\) | −35.3295 | − | 34.8178i | −1.56904 | − | 1.54631i | ||||
\(508\) | −0.856974 | −0.0380221 | ||||||||
\(509\) | −17.8367 | − | 30.8941i | −0.790598 | − | 1.36936i | −0.925597 | − | 0.378510i | \(-0.876437\pi\) |
0.135000 | − | 0.990846i | \(-0.456897\pi\) | |||||||
\(510\) | 20.3505 | + | 5.29408i | 0.901133 | + | 0.234426i | ||||
\(511\) | 1.50927 | + | 8.57740i | 0.0667664 | + | 0.379442i | ||||
\(512\) | −29.4040 | − | 6.71127i | −1.29949 | − | 0.296599i | ||||
\(513\) | −7.91641 | − | 5.57917i | −0.349518 | − | 0.246326i | ||||
\(514\) | −2.35787 | + | 15.6435i | −0.104001 | + | 0.690004i | ||||
\(515\) | −8.49041 | + | 3.33224i | −0.374132 | + | 0.146836i | ||||
\(516\) | −10.7583 | − | 30.0405i | −0.473606 | − | 1.32246i | ||||
\(517\) | 1.03846 | − | 1.11920i | 0.0456715 | − | 0.0492222i | ||||
\(518\) | −2.59270 | + | 2.17396i | −0.113917 | + | 0.0955184i | ||||
\(519\) | 7.78102 | − | 2.14588i | 0.341549 | − | 0.0941935i | ||||
\(520\) | 2.31076 | 0.101334 | ||||||||
\(521\) | 0.859382 | + | 1.48849i | 0.0376502 | + | 0.0652121i | 0.884236 | − | 0.467039i | \(-0.154679\pi\) |
−0.846586 | + | 0.532252i | \(0.821346\pi\) | |||||||
\(522\) | 34.2949 | − | 38.0600i | 1.50105 | − | 1.66584i | ||||
\(523\) | 6.70194 | + | 9.82993i | 0.293055 | + | 0.429833i | 0.944325 | − | 0.329013i | \(-0.106716\pi\) |
−0.651270 | + | 0.758846i | \(0.725764\pi\) | |||||||
\(524\) | 1.58104 | + | 0.238303i | 0.0690681 | + | 0.0104103i | ||||
\(525\) | 7.15199 | − | 17.9309i | 0.312138 | − | 0.782567i | ||||
\(526\) | 21.2770 | − | 3.20700i | 0.927723 | − | 0.139832i | ||||
\(527\) | −21.0592 | − | 22.6964i | −0.917354 | − | 0.988673i | ||||
\(528\) | 12.9299 | − | 2.54430i | 0.562702 | − | 0.110727i | ||||
\(529\) | 15.2507 | − | 10.3977i | 0.663074 | − | 0.452076i | ||||
\(530\) | 2.36872 | + | 6.03541i | 0.102891 | + | 0.262161i | ||||
\(531\) | 21.6545 | − | 12.9271i | 0.939726 | − | 0.560988i | ||||
\(532\) | 3.63895 | − | 8.05707i | 0.157768 | − | 0.349318i | ||||
\(533\) | 4.42466 | − | 0.331582i | 0.191653 | − | 0.0143624i | ||||
\(534\) | 0.750480 | − | 24.9212i | 0.0324764 | − | 1.07845i | ||||
\(535\) | 5.52785 | + | 1.26169i | 0.238990 | + | 0.0545478i | ||||
\(536\) | 0.900130 | + | 1.86914i | 0.0388797 | + | 0.0807345i | ||||
\(537\) | −3.74631 | + | 10.9622i | −0.161665 | + | 0.473054i | ||||
\(538\) | −44.9948 | + | 25.9778i | −1.93986 | + | 1.11998i | ||||
\(539\) | −8.71528 | − | 8.51278i | −0.375394 | − | 0.366671i | ||||
\(540\) | −6.54196 | + | 5.05300i | −0.281521 | + | 0.217447i | ||||
\(541\) | −38.9056 | + | 5.86407i | −1.67268 | + | 0.252116i | −0.915858 | − | 0.401502i | \(-0.868488\pi\) |
−0.756824 | + | 0.653619i | \(0.773250\pi\) | |||||||
\(542\) | −3.55906 | + | 47.4924i | −0.152875 | + | 2.03997i | ||||
\(543\) | 3.28678 | − | 18.0926i | 0.141049 | − | 0.776428i | ||||
\(544\) | 30.4975 | − | 44.7316i | 1.30757 | − | 1.91785i | ||||
\(545\) | 7.34320 | − | 5.00651i | 0.314548 | − | 0.214455i | ||||
\(546\) | −3.98605 | − | 57.4503i | −0.170587 | − | 2.45864i | ||||
\(547\) | −30.0721 | − | 20.5028i | −1.28579 | − | 0.876637i | −0.289050 | − | 0.957314i | \(-0.593340\pi\) |
−0.996740 | + | 0.0806766i | \(0.974292\pi\) | |||||||
\(548\) | 19.6305 | − | 7.70440i | 0.838573 | − | 0.329116i | ||||
\(549\) | 7.86194 | − | 20.9245i | 0.335539 | − | 0.893037i | ||||
\(550\) | 5.21652 | − | 13.2915i | 0.222433 | − | 0.566751i | ||||
\(551\) | 3.63683 | + | 15.9340i | 0.154934 | + | 0.678811i | ||||
\(552\) | −1.40965 | − | 0.481744i | −0.0599986 | − | 0.0205044i | ||||
\(553\) | 44.0596 | − | 14.7858i | 1.87360 | − | 0.628754i | ||||
\(554\) | −0.574509 | + | 0.225478i | −0.0244085 | + | 0.00957965i | ||||
\(555\) | −0.396833 | + | 0.927961i | −0.0168446 | + | 0.0393897i | ||||
\(556\) | 8.26240 | − | 26.7860i | 0.350404 | − | 1.13598i | ||||
\(557\) | −29.7860 | + | 17.1969i | −1.26207 | + | 0.728658i | −0.973475 | − | 0.228793i | \(-0.926522\pi\) |
−0.288597 | + | 0.957451i | \(0.593189\pi\) | |||||||
\(558\) | 25.6465 | − | 2.29866i | 1.08570 | − | 0.0973100i | ||||
\(559\) | 64.6461 | − | 14.7551i | 2.73424 | − | 0.624072i | ||||
\(560\) | 7.69262 | + | 6.79366i | 0.325073 | + | 0.287085i | ||||
\(561\) | −3.78522 | + | 20.8363i | −0.159812 | + | 0.879710i | ||||
\(562\) | 14.1724 | − | 4.37160i | 0.597826 | − | 0.184405i | ||||
\(563\) | −24.4111 | + | 30.6105i | −1.02880 | + | 1.29008i | −0.0726065 | + | 0.997361i | \(0.523132\pi\) |
−0.956198 | + | 0.292720i | \(0.905440\pi\) | |||||||
\(564\) | 2.20346 | + | 1.60153i | 0.0927823 | + | 0.0674365i | ||||
\(565\) | −6.13106 | − | 1.39938i | −0.257936 | − | 0.0588722i | ||||
\(566\) | −4.47701 | + | 19.6150i | −0.188183 | + | 0.824482i | ||||
\(567\) | −15.8252 | − | 17.7922i | −0.664597 | − | 0.747202i | ||||
\(568\) | −1.40494 | − | 6.15542i | −0.0589498 | − | 0.258276i | ||||
\(569\) | 0.0855691i | 0.00358724i | 0.999998 | + | 0.00179362i | \(0.000570927\pi\) | ||||
−0.999998 | + | 0.00179362i | \(0.999429\pi\) | |||||||
\(570\) | −0.249265 | − | 5.57333i | −0.0104406 | − | 0.233441i | ||||
\(571\) | 7.05267 | + | 30.8998i | 0.295145 | + | 1.29312i | 0.877262 | + | 0.480011i | \(0.159367\pi\) |
−0.582117 | + | 0.813105i | \(0.697776\pi\) | |||||||
\(572\) | −1.50460 | − | 20.0775i | −0.0629107 | − | 0.839485i | ||||
\(573\) | 17.6487 | − | 24.2819i | 0.737284 | − | 1.01439i | ||||
\(574\) | 2.82352 | + | 2.14032i | 0.117851 | + | 0.0893351i | ||||
\(575\) | −7.01921 | + | 5.59763i | −0.292721 | + | 0.233437i | ||||
\(576\) | 5.80159 | + | 17.8780i | 0.241733 | + | 0.744916i | ||||
\(577\) | −30.3325 | − | 11.9046i | −1.26276 | − | 0.495596i | −0.362920 | − | 0.931820i | \(-0.618220\pi\) |
−0.899838 | + | 0.436225i | \(0.856315\pi\) | |||||||
\(578\) | 35.4936 | + | 52.0596i | 1.47634 | + | 2.16539i | ||||
\(579\) | −2.35067 | − | 1.70852i | −0.0976904 | − | 0.0710039i | ||||
\(580\) | 13.9107 | + | 1.04246i | 0.577610 | + | 0.0432858i | ||||
\(581\) | 13.7471 | − | 2.41894i | 0.570327 | − | 0.100354i | ||||
\(582\) | −23.5494 | + | 2.82750i | −0.976155 | + | 0.117204i | ||||
\(583\) | −5.88306 | + | 2.83313i | −0.243651 | + | 0.117336i | ||||
\(584\) | 1.26941 | − | 0.391562i | 0.0525287 | − | 0.0162030i | ||||
\(585\) | −8.80497 | − | 14.7494i | −0.364041 | − | 0.609814i | ||||
\(586\) | 0.419522 | + | 2.78335i | 0.0173303 | + | 0.114979i | ||||
\(587\) | −13.2493 | − | 22.9484i | −0.546856 | − | 0.947182i | −0.998488 | − | 0.0549773i | \(-0.982491\pi\) |
0.451632 | − | 0.892204i | \(-0.350842\pi\) | |||||||
\(588\) | 13.2262 | − | 17.2492i | 0.545440 | − | 0.711344i | ||||
\(589\) | −4.10722 | + | 7.11391i | −0.169235 | + | 0.293124i | ||||
\(590\) | 13.5233 | + | 5.30751i | 0.556746 | + | 0.218507i | ||||
\(591\) | 0.928589 | − | 0.499474i | 0.0381971 | − | 0.0205456i | ||||
\(592\) | 2.10430 | + | 1.95250i | 0.0864860 | + | 0.0802473i | ||||
\(593\) | 1.25997 | − | 16.8131i | 0.0517407 | − | 0.690432i | −0.909673 | − | 0.415325i | \(-0.863668\pi\) |
0.961414 | − | 0.275107i | \(-0.0887131\pi\) | |||||||
\(594\) | −11.7776 | − | 13.0950i | −0.483241 | − | 0.537293i | ||||
\(595\) | −14.6795 | + | 7.51911i | −0.601799 | + | 0.308254i | ||||
\(596\) | 5.59681 | − | 8.20901i | 0.229254 | − | 0.336254i | ||||
\(597\) | −21.4170 | − | 2.25503i | −0.876540 | − | 0.0922920i | ||||
\(598\) | −11.6205 | + | 24.1301i | −0.475196 | + | 0.986755i | ||||
\(599\) | 0.604892 | − | 0.482386i | 0.0247152 | − | 0.0197097i | −0.611054 | − | 0.791589i | \(-0.709254\pi\) |
0.635770 | + | 0.771879i | \(0.280683\pi\) | |||||||
\(600\) | −2.84972 | − | 0.741343i | −0.116340 | − | 0.0302652i | ||||
\(601\) | −10.4970 | − | 4.11976i | −0.428181 | − | 0.168049i | 0.141457 | − | 0.989944i | \(-0.454821\pi\) |
−0.569638 | + | 0.821896i | \(0.692917\pi\) | |||||||
\(602\) | 46.4912 | + | 25.3393i | 1.89484 | + | 1.03275i | ||||
\(603\) | 8.50071 | − | 12.8677i | 0.346176 | − | 0.524012i | ||||
\(604\) | −21.4563 | + | 14.6287i | −0.873045 | + | 0.595232i | ||||
\(605\) | 6.75882 | + | 2.08482i | 0.274785 | + | 0.0847599i | ||||
\(606\) | −27.2249 | + | 52.4344i | −1.10594 | + | 2.13000i | ||||
\(607\) | −2.26218 | + | 1.30607i | −0.0918189 | + | 0.0530117i | −0.545206 | − | 0.838302i | \(-0.683549\pi\) |
0.453387 | + | 0.891314i | \(0.350215\pi\) | |||||||
\(608\) | −13.7255 | − | 4.23375i | −0.556641 | − | 0.171701i | ||||
\(609\) | −0.222145 | + | 40.1831i | −0.00900178 | + | 1.62830i | ||||
\(610\) | 12.3041 | − | 3.79531i | 0.498178 | − | 0.153668i | ||||
\(611\) | −3.85020 | + | 4.14953i | −0.155763 | + | 0.167872i | ||||
\(612\) | −37.7153 | − | 2.27359i | −1.52455 | − | 0.0919043i | ||||
\(613\) | 6.24008 | + | 0.940540i | 0.252034 | + | 0.0379881i | 0.273844 | − | 0.961774i | \(-0.411705\pi\) |
−0.0218099 | + | 0.999762i | \(0.506943\pi\) | |||||||
\(614\) | 2.83312 | − | 12.4127i | 0.114335 | − | 0.500936i | ||||
\(615\) | 1.03982 | + | 0.188898i | 0.0419294 | + | 0.00761709i | ||||
\(616\) | −1.12257 | + | 1.48090i | −0.0452298 | + | 0.0596674i | ||||
\(617\) | 0.219692 | − | 0.712222i | 0.00884445 | − | 0.0286730i | −0.951043 | − | 0.309058i | \(-0.899986\pi\) |
0.959887 | + | 0.280386i | \(0.0904623\pi\) | |||||||
\(618\) | 29.2224 | − | 18.6604i | 1.17550 | − | 0.750629i | ||||
\(619\) | 14.9355 | + | 8.62299i | 0.600307 | + | 0.346587i | 0.769162 | − | 0.639054i | \(-0.220674\pi\) |
−0.168855 | + | 0.985641i | \(0.554007\pi\) | |||||||
\(620\) | 4.76880 | + | 5.13954i | 0.191520 | + | 0.206409i | ||||
\(621\) | 2.29641 | + | 10.8333i | 0.0921518 | + | 0.434727i | ||||
\(622\) | −16.3436 | − | 13.0336i | −0.655318 | − | 0.522599i | ||||
\(623\) | 12.5649 | + | 14.9851i | 0.503401 | + | 0.600365i | ||||
\(624\) | −47.9389 | + | 9.43327i | −1.91909 | + | 0.377633i | ||||
\(625\) | −10.1227 | + | 9.39253i | −0.404909 | + | 0.375701i | ||||
\(626\) | −4.26463 | − | 5.34767i | −0.170449 | − | 0.213736i | ||||
\(627\) | 5.57851 | − | 0.669793i | 0.222784 | − | 0.0267489i | ||||
\(628\) | 22.5669 | + | 17.9965i | 0.900517 | + | 0.718138i | ||||
\(629\) | −4.15632 | + | 2.00158i | −0.165723 | + | 0.0798081i | ||||
\(630\) | 2.52626 | − | 13.4819i | 0.100649 | − | 0.537134i | ||||
\(631\) | −5.36500 | − | 2.58365i | −0.213577 | − | 0.102853i | 0.324037 | − | 0.946045i | \(-0.394960\pi\) |
−0.537614 | + | 0.843191i | \(0.680674\pi\) | |||||||
\(632\) | −3.07574 | − | 6.38683i | −0.122346 | − | 0.254055i | ||||
\(633\) | 17.3611 | − | 20.4741i | 0.690040 | − | 0.813773i | ||||
\(634\) | −41.6632 | + | 20.0639i | −1.65466 | + | 0.796840i | ||||
\(635\) | 0.154966 | − | 0.394847i | 0.00614963 | − | 0.0156690i | ||||
\(636\) | −6.26999 | − | 9.81889i | −0.248621 | − | 0.389344i | ||||
\(637\) | 32.3128 | + | 31.5620i | 1.28028 | + | 1.25053i | ||||
\(638\) | 29.7216i | 1.17669i | ||||||||
\(639\) | −33.9363 | + | 32.4223i | −1.34250 | + | 1.28261i | ||||
\(640\) | 1.60515 | − | 2.35433i | 0.0634492 | − | 0.0930629i | ||||
\(641\) | 28.5268 | − | 30.7445i | 1.12674 | − | 1.21434i | 0.152624 | − | 0.988284i | \(-0.451228\pi\) |
0.974115 | − | 0.226052i | \(-0.0725819\pi\) | |||||||
\(642\) | −21.5441 | − | 0.648782i | −0.850279 | − | 0.0256054i | ||||
\(643\) | 1.25823 | + | 1.84548i | 0.0496197 | + | 0.0727787i | 0.850247 | − | 0.526384i | \(-0.176453\pi\) |
−0.800627 | + | 0.599163i | \(0.795500\pi\) | |||||||
\(644\) | −9.31644 | + | 3.92330i | −0.367119 | + | 0.154600i | ||||
\(645\) | 15.7864 | + | 0.475395i | 0.621591 | + | 0.0187187i | ||||
\(646\) | 15.8993 | − | 19.9371i | 0.625549 | − | 0.784413i | ||||
\(647\) | 1.04717 | + | 13.9735i | 0.0411686 | + | 0.549357i | 0.979212 | + | 0.202839i | \(0.0650169\pi\) |
−0.938043 | + | 0.346518i | \(0.887364\pi\) | |||||||
\(648\) | −2.39170 | + | 2.73344i | −0.0939549 | + | 0.107380i | ||||
\(649\) | −4.31252 | + | 13.9809i | −0.169281 | + | 0.548797i | ||||
\(650\) | −19.3408 | + | 49.2795i | −0.758608 | + | 1.93290i | ||||
\(651\) | −13.8187 | + | 14.7289i | −0.541598 | + | 0.577271i | ||||
\(652\) | 7.54643 | + | 19.2280i | 0.295541 | + | 0.753027i | ||||
\(653\) | 1.44601 | − | 0.108363i | 0.0565867 | − | 0.00424058i | −0.0464067 | − | 0.998923i | \(-0.514777\pi\) |
0.102993 | + | 0.994682i | \(0.467158\pi\) | |||||||
\(654\) | −23.7146 | + | 24.0631i | −0.927315 | + | 0.940944i | ||||
\(655\) | −0.395695 | + | 0.685365i | −0.0154611 | + | 0.0267794i | ||||
\(656\) | 1.50297 | − | 2.60322i | 0.0586811 | − | 0.101639i | ||||
\(657\) | −7.33631 | − | 6.61057i | −0.286217 | − | 0.257903i | ||||
\(658\) | −4.49778 | + | 0.448451i | −0.175342 | + | 0.0174824i | ||||
\(659\) | 10.9166 | + | 35.3908i | 0.425251 | + | 1.37863i | 0.874414 | + | 0.485180i | \(0.161246\pi\) |
−0.449163 | + | 0.893450i | \(0.648278\pi\) | |||||||
\(660\) | 0.857151 | − | 4.71832i | 0.0333646 | − | 0.183660i | ||||
\(661\) | −34.8585 | − | 27.7987i | −1.35584 | − | 1.08125i | −0.988510 | − | 0.151154i | \(-0.951701\pi\) |
−0.367328 | − | 0.930091i | \(-0.619727\pi\) | |||||||
\(662\) | −16.3626 | − | 13.0488i | −0.635951 | − | 0.507154i | ||||
\(663\) | 14.0341 | − | 77.2527i | 0.545038 | − | 3.00025i | ||||
\(664\) | −0.627563 | − | 2.03451i | −0.0243542 | − | 0.0789542i | ||||
\(665\) | 3.05423 | + | 3.13358i | 0.118438 | + | 0.121515i | ||||
\(666\) | 0.799054 | − | 3.75242i | 0.0309627 | − | 0.145403i | ||||
\(667\) | 9.34405 | − | 16.1844i | 0.361803 | − | 0.626661i | ||||
\(668\) | 18.6042 | − | 32.2234i | 0.719819 | − | 1.24676i | ||||
\(669\) | 1.57373 | − | 1.59686i | 0.0608438 | − | 0.0617380i | ||||
\(670\) | 8.85891 | − | 0.663883i | 0.342249 | − | 0.0256480i | ||||
\(671\) | 4.73764 | + | 12.0713i | 0.182894 | + | 0.466007i | ||||
\(672\) | −30.4857 | − | 17.8264i | −1.17601 | − | 0.687668i | ||||
\(673\) | −13.0725 | + | 33.3082i | −0.503909 | + | 1.28394i | 0.422139 | + | 0.906531i | \(0.361279\pi\) |
−0.926047 | + | 0.377407i | \(0.876816\pi\) | |||||||
\(674\) | 6.47929 | − | 21.0053i | 0.249573 | − | 0.809095i | ||||
\(675\) | 6.12670 | + | 21.0144i | 0.235817 | + | 0.808846i | ||||
\(676\) | 3.83680 | + | 51.1986i | 0.147569 | + | 1.96918i | ||||
\(677\) | −20.1394 | + | 25.2541i | −0.774021 | + | 0.970592i | −0.999994 | − | 0.00354159i | \(-0.998873\pi\) |
0.225972 | + | 0.974134i | \(0.427444\pi\) | |||||||
\(678\) | 23.8951 | + | 0.719580i | 0.917686 | + | 0.0276353i | ||||
\(679\) | 12.3147 | − | 13.9443i | 0.472596 | − | 0.535132i | ||||
\(680\) | 1.41717 | + | 2.07860i | 0.0543459 | + | 0.0797108i | ||||
\(681\) | 6.67433 | + | 0.200991i | 0.255761 | + | 0.00770201i | ||||
\(682\) | −10.1606 | + | 10.9505i | −0.389068 | + | 0.419315i | ||||
\(683\) | −18.6778 | + | 27.3953i | −0.714686 | + | 1.04825i | 0.281377 | + | 0.959597i | \(0.409209\pi\) |
−0.996062 | + | 0.0886542i | \(0.971743\pi\) | |||||||
\(684\) | 2.37299 | + | 9.73952i | 0.0907336 | + | 0.372400i | ||||
\(685\) | 10.4378i | 0.398809i | ||||||||
\(686\) | 2.65692 | + | 35.9703i | 0.101442 | + | 1.37335i | ||||
\(687\) | −18.7190 | − | 29.3143i | −0.714176 | − | 1.11841i | ||||
\(688\) | 16.4117 | − | 41.8162i | 0.625689 | − | 1.59423i | ||||
\(689\) | 21.8120 | − | 10.5041i | 0.830972 | − | 0.400175i | ||||
\(690\) | −4.12564 | + | 4.86542i | −0.157060 | + | 0.185223i | ||||
\(691\) | 0.499615 | + | 1.03746i | 0.0190062 | + | 0.0394669i | 0.910256 | − | 0.414046i | \(-0.135885\pi\) |
−0.891250 | + | 0.453513i | \(0.850171\pi\) | |||||||
\(692\) | −7.52714 | − | 3.62488i | −0.286139 | − | 0.137797i | ||||
\(693\) | 13.7300 | + | 1.52244i | 0.521559 | + | 0.0578327i | ||||
\(694\) | −42.4028 | + | 20.4201i | −1.60959 | + | 0.775138i | ||||
\(695\) | 10.8475 | + | 8.65056i | 0.411467 | + | 0.328134i | ||||
\(696\) | 6.08562 | − | 0.730680i | 0.230675 | − | 0.0276963i | ||||
\(697\) | 3.01187 | + | 3.77676i | 0.114083 | + | 0.143055i | ||||
\(698\) | −18.7518 | + | 17.3991i | −0.709764 | + | 0.658565i | ||||
\(699\) | 34.1336 | − | 6.71670i | 1.29105 | − | 0.254049i | ||||
\(700\) | −17.7842 | + | 9.10940i | −0.672178 | + | 0.344303i | ||||
\(701\) | 16.9122 | + | 13.4870i | 0.638765 | + | 0.509398i | 0.888476 | − | 0.458922i | \(-0.151764\pi\) |
−0.249711 | + | 0.968320i | \(0.580336\pi\) | |||||||
\(702\) | 43.6667 | + | 48.5509i | 1.64809 | + | 1.83244i | ||||
\(703\) | 0.832478 | + | 0.897197i | 0.0313975 | + | 0.0338384i | ||||
\(704\) | −9.44328 | − | 5.45208i | −0.355907 | − | 0.205483i | ||||
\(705\) | −1.13635 | + | 0.725630i | −0.0427973 | + | 0.0273288i | ||||
\(706\) | 12.6098 | − | 40.8801i | 0.474577 | − | 1.53854i | ||||
\(707\) | −11.4188 | − | 44.9112i | −0.429446 | − | 1.68906i | ||||
\(708\) | −25.6835 | − | 4.66577i | −0.965244 | − | 0.175350i | ||||
\(709\) | −7.03472 | + | 30.8211i | −0.264194 | + | 1.15751i | 0.652458 | + | 0.757825i | \(0.273738\pi\) |
−0.916652 | + | 0.399686i | \(0.869119\pi\) | |||||||
\(710\) | −26.7345 | − | 4.02957i | −1.00333 | − | 0.151227i | ||||
\(711\) | −29.0469 | + | 43.9687i | −1.08934 | + | 1.64896i | ||||
\(712\) | 2.02888 | − | 2.18662i | 0.0760356 | − | 0.0819469i | ||||
\(713\) | 8.97541 | − | 2.76855i | 0.336132 | − | 0.103683i | ||||
\(714\) | 49.2337 | − | 38.8193i | 1.84253 | − | 1.45277i | ||||
\(715\) | 9.52271 | + | 2.93737i | 0.356129 | + | 0.109851i | ||||
\(716\) | 10.3844 | − | 5.99543i | 0.388083 | − | 0.224060i | ||||
\(717\) | −8.19490 | + | 15.7831i | −0.306044 | + | 0.589432i | ||||
\(718\) | 28.3184 | + | 8.73506i | 1.05683 | + | 0.325990i | ||||
\(719\) | −2.01606 | + | 1.37452i | −0.0751862 | + | 0.0512611i | −0.600330 | − | 0.799753i | \(-0.704964\pi\) |
0.525144 | + | 0.851014i | \(0.324012\pi\) | |||||||
\(720\) | −11.6161 | − | 0.700253i | −0.432907 | − | 0.0260969i | ||||
\(721\) | −7.37486 | + | 26.1760i | −0.274654 | + | 0.974845i | ||||
\(722\) | 28.1469 | + | 11.0468i | 1.04752 | + | 0.411121i | ||||
\(723\) | 37.8754 | + | 9.85313i | 1.40860 | + | 0.366442i | ||||
\(724\) | −14.8810 | + | 11.8672i | −0.553047 | + | 0.441040i | ||||
\(725\) | 16.0274 | − | 33.2813i | 0.595244 | − | 1.23604i | ||||
\(726\) | −26.7396 | − | 2.81545i | −0.992400 | − | 0.104491i | ||||
\(727\) | 19.2695 | − | 28.2632i | 0.714668 | − | 1.04823i | −0.281396 | − | 0.959592i | \(-0.590798\pi\) |
0.996064 | − | 0.0886338i | \(-0.0282501\pi\) | |||||||
\(728\) | 4.16205 | − | 5.49060i | 0.154256 | − | 0.203495i | ||||
\(729\) | 26.5607 | + | 4.85053i | 0.983731 | + | 0.179649i | ||||
\(730\) | 0.425108 | − | 5.67267i | 0.0157340 | − | 0.209955i | ||||
\(731\) | 52.9195 | + | 49.1021i | 1.95730 | + | 1.81611i | ||||
\(732\) | −20.3759 | + | 10.9599i | −0.753115 | + | 0.405089i | ||||
\(733\) | −32.7225 | − | 12.8426i | −1.20863 | − | 0.474353i | −0.326428 | − | 0.945222i | \(-0.605845\pi\) |
−0.882203 | + | 0.470869i | \(0.843940\pi\) | |||||||
\(734\) | −13.6509 | + | 23.6441i | −0.503866 | + | 0.872721i | ||||
\(735\) | 5.55579 | + | 9.21307i | 0.204928 | + | 0.339829i | ||||
\(736\) | 8.21195 | + | 14.2235i | 0.302696 | + | 0.524285i | ||||
\(737\) | 1.33347 | + | 8.84699i | 0.0491190 | + | 0.325883i | ||||
\(738\) | −4.01701 | + | 0.0586116i | −0.147868 | + | 0.00215752i | ||||
\(739\) | −10.9124 | + | 3.36603i | −0.401420 | + | 0.123822i | −0.488890 | − | 0.872346i | \(-0.662598\pi\) |
0.0874701 | + | 0.996167i | \(0.472122\pi\) | |||||||
\(740\) | 0.941185 | − | 0.453251i | 0.0345987 | − | 0.0166618i | ||||
\(741\) | −20.6829 | + | 2.48332i | −0.759804 | + | 0.0912272i | ||||
\(742\) | 18.6072 | + | 5.24241i | 0.683092 | + | 0.192455i | ||||
\(743\) | 9.03955 | + | 0.677421i | 0.331629 | + | 0.0248522i | 0.239504 | − | 0.970895i | \(-0.423015\pi\) |
0.0921248 | + | 0.995747i | \(0.470634\pi\) | |||||||
\(744\) | 2.49194 | + | 1.81120i | 0.0913589 | + | 0.0664019i | ||||
\(745\) | 2.77020 | + | 4.06313i | 0.101492 | + | 0.148862i | ||||
\(746\) | 24.1310 | + | 9.47072i | 0.883499 | + | 0.346748i | ||||
\(747\) | −10.5949 | + | 11.7580i | −0.387645 | + | 0.430203i | ||||
\(748\) | 17.1376 | − | 13.6668i | 0.626614 | − | 0.499708i | ||||
\(749\) | 12.9545 | − | 10.8622i | 0.473346 | − | 0.396897i | ||||
\(750\) | −16.2124 | + | 22.3058i | −0.591994 | + | 0.814493i | ||||
\(751\) | 0.00678768 | + | 0.0905752i | 0.000247686 | + | 0.00330514i | 0.997326 | − | 0.0730774i | \(-0.0232820\pi\) |
−0.997079 | + | 0.0763826i | \(0.975663\pi\) | |||||||
\(752\) | 0.853335 | + | 3.73870i | 0.0311179 | + | 0.136337i | ||||
\(753\) | −0.302244 | − | 6.75790i | −0.0110144 | − | 0.246272i | ||||
\(754\) | − | 110.196i | − | 4.01310i | ||||||
\(755\) | −2.86016 | − | 12.5312i | −0.104092 | − | 0.456057i | ||||
\(756\) | 0.223334 | + | 24.6456i | 0.00812257 | + | 0.896353i | ||||
\(757\) | −4.42629 | + | 19.3929i | −0.160876 | + | 0.704846i | 0.828563 | + | 0.559896i | \(0.189159\pi\) |
−0.989439 | + | 0.144949i | \(0.953698\pi\) | |||||||
\(758\) | −8.05859 | − | 1.83932i | −0.292701 | − | 0.0668072i | ||||
\(759\) | −5.19682 | − | 3.77718i | −0.188633 | − | 0.137103i | ||||
\(760\) | 0.416150 | − | 0.521835i | 0.0150953 | − | 0.0189290i | ||||
\(761\) | 3.31960 | − | 1.02396i | 0.120335 | − | 0.0371186i | −0.234003 | − | 0.972236i | \(-0.575182\pi\) |
0.354338 | + | 0.935117i | \(0.384706\pi\) | |||||||
\(762\) | −0.288203 | + | 1.58646i | −0.0104405 | + | 0.0574714i | ||||
\(763\) | 1.33031 | − | 26.4657i | 0.0481604 | − | 0.958124i | ||||
\(764\) | −30.2916 | + | 6.91385i | −1.09591 | + | 0.250134i | ||||
\(765\) | 7.86758 | − | 16.9660i | 0.284453 | − | 0.613408i | ||||
\(766\) | 23.8568 | − | 13.7737i | 0.861982 | − | 0.497665i | ||||
\(767\) | 15.9891 | − | 51.8355i | 0.577334 | − | 1.87167i | ||||
\(768\) | −12.7927 | + | 29.9148i | −0.461618 | + | 1.07946i | ||||
\(769\) | −48.8998 | + | 19.1918i | −1.76337 | + | 0.692073i | −0.764499 | + | 0.644625i | \(0.777013\pi\) |
−0.998874 | + | 0.0474473i | \(0.984891\pi\) | |||||||
\(770\) | 4.14692 | + | 6.79157i | 0.149444 | + | 0.244751i | ||||
\(771\) | 13.3139 | + | 4.55001i | 0.479490 | + | 0.163865i | ||||
\(772\) | 0.669313 | + | 2.93245i | 0.0240891 | + | 0.105541i | ||||
\(773\) | 17.4913 | − | 44.5670i | 0.629117 | − | 1.60296i | −0.158888 | − | 0.987297i | \(-0.550791\pi\) |
0.788006 | − | 0.615668i | \(-0.211114\pi\) | |||||||
\(774\) | −59.2302 | + | 9.81332i | −2.12899 | + | 0.352732i | ||||
\(775\) | 17.2825 | − | 6.78289i | 0.620806 | − | 0.243649i | ||||
\(776\) | −2.34458 | − | 1.59851i | −0.0841657 | − | 0.0573832i | ||||
\(777\) | 1.49017 | + | 2.61432i | 0.0534596 | + | 0.0937883i | ||||
\(778\) | −11.8972 | + | 8.11134i | −0.426534 | + | 0.290806i | ||||
\(779\) | 0.721966 | − | 1.05893i | 0.0258671 | − | 0.0379401i | ||||
\(780\) | −3.17797 | + | 17.4936i | −0.113790 | + | 0.626373i | ||||
\(781\) | 2.03481 | − | 27.1526i | 0.0728111 | − | 0.971596i | ||||
\(782\) | −28.8325 | + | 4.34581i | −1.03105 | + | 0.155406i | ||||
\(783\) | −27.8526 | − | 36.0599i | −0.995372 | − | 1.28867i | ||||
\(784\) | 29.9981 | − | 6.04198i | 1.07136 | − | 0.215785i | ||||
\(785\) | −12.3726 | + | 7.14330i | −0.441595 | + | 0.254955i | ||||
\(786\) | 0.972866 | − | 2.84674i | 0.0347010 | − | 0.101540i | ||||
\(787\) | −10.0276 | − | 20.8225i | −0.357445 | − | 0.742243i | 0.642261 | − | 0.766486i | \(-0.277997\pi\) |
−0.999706 | + | 0.0242433i | \(0.992282\pi\) | |||||||
\(788\) | −1.06400 | − | 0.242852i | −0.0379035 | − | 0.00865123i | ||||
\(789\) | 0.576029 | − | 19.1282i | 0.0205072 | − | 0.680982i | ||||
\(790\) | −30.2708 | + | 2.26848i | −1.07699 | + | 0.0807090i | ||||
\(791\) | −14.3681 | + | 12.0475i | −0.510871 | + | 0.428361i | ||||
\(792\) | −0.0307412 | − | 2.10688i | −0.00109234 | − | 0.0748647i | ||||
\(793\) | −17.5653 | − | 44.7556i | −0.623761 | − | 1.58932i | ||||
\(794\) | 10.3659 | − | 7.06733i | 0.367871 | − | 0.250810i | ||||
\(795\) | 5.65781 | − | 1.11333i | 0.200662 | − | 0.0394856i | ||||
\(796\) | 15.1614 | + | 16.3401i | 0.537380 | + | 0.579158i | ||||
\(797\) | −39.7109 | + | 5.98546i | −1.40663 | + | 0.212016i | −0.808083 | − | 0.589069i | \(-0.799495\pi\) |
−0.598551 | + | 0.801085i | \(0.704257\pi\) | |||||||
\(798\) | −13.6918 | − | 9.44618i | −0.484683 | − | 0.334391i | ||||
\(799\) | −6.09393 | − | 0.918512i | −0.215588 | − | 0.0324946i | ||||
\(800\) | 18.2876 | + | 26.8230i | 0.646565 | + | 0.948336i | ||||
\(801\) | −21.6879 | − | 4.61830i | −0.766305 | − | 0.163180i | ||||
\(802\) | −2.52330 | − | 4.37049i | −0.0891009 | − | 0.154327i | ||||
\(803\) | 5.72904 | 0.202173 | ||||||||
\(804\) | −15.3883 | + | 4.24383i | −0.542703 | + | 0.149668i | ||||
\(805\) | −0.122956 | − | 5.00195i | −0.00433365 | − | 0.176296i | ||||
\(806\) | 37.6713 | − | 40.6000i | 1.32691 | − | 1.43007i | ||||
\(807\) | 15.5792 | + | 43.5021i | 0.548413 | + | 1.53135i | ||||
\(808\) | −6.57976 | + | 2.58237i | −0.231475 | + | 0.0908473i | ||||
\(809\) | 0.482993 | − | 3.20445i | 0.0169811 | − | 0.112662i | −0.978734 | − | 0.205131i | \(-0.934238\pi\) |
0.995716 | + | 0.0924690i | \(0.0294759\pi\) | |||||||
\(810\) | 7.15422 | + | 13.8101i | 0.251374 | + | 0.485236i | ||||
\(811\) | 15.3231 | + | 3.49739i | 0.538066 | + | 0.122810i | 0.482914 | − | 0.875668i | \(-0.339578\pi\) |
0.0551524 | + | 0.998478i | \(0.482436\pi\) | |||||||
\(812\) | 27.5324 | − | 31.1756i | 0.966197 | − | 1.09405i | ||||
\(813\) | 40.9923 | + | 10.6640i | 1.43766 | + | 0.374001i | ||||
\(814\) | 1.11287 | + | 1.92754i | 0.0390060 | + | 0.0675604i | ||||
\(815\) | −10.2238 | −0.358125 | ||||||||
\(816\) | −37.8860 | − | 37.3372i | −1.32627 | − | 1.30706i | ||||
\(817\) | 8.31015 | − | 17.2562i | 0.290735 | − | 0.603718i | ||||
\(818\) | 20.5293 | − | 25.7430i | 0.717792 | − | 0.900082i | ||||
\(819\) | −50.9053 | − | 5.64460i | −1.77878 | − | 0.197238i | ||||
\(820\) | −0.682029 | − | 0.855237i | −0.0238175 | − | 0.0298662i | ||||
\(821\) | −52.5573 | + | 11.9959i | −1.83426 | + | 0.418658i | −0.992609 | − | 0.121360i | \(-0.961274\pi\) |
−0.841653 | + | 0.540019i | \(0.818417\pi\) | |||||||
\(822\) | −7.66086 | − | 38.9317i | −0.267203 | − | 1.35790i | ||||
\(823\) | 34.5759 | + | 16.6509i | 1.20524 | + | 0.580414i | 0.925165 | − | 0.379564i | \(-0.123926\pi\) |
0.280076 | + | 0.959978i | \(0.409640\pi\) | |||||||
\(824\) | 4.10180 | + | 0.618247i | 0.142893 | + | 0.0215377i | ||||
\(825\) | −10.8014 | − | 6.67758i | −0.376057 | − | 0.232484i | ||||
\(826\) | 36.9689 | − | 22.5731i | 1.28631 | − | 0.785419i | ||||
\(827\) | −17.1604 | + | 35.6339i | −0.596725 | + | 1.23911i | 0.355775 | + | 0.934572i | \(0.384217\pi\) |
−0.952500 | + | 0.304540i | \(0.901497\pi\) | |||||||
\(828\) | 5.58573 | − | 10.0092i | 0.194118 | − | 0.347845i | ||||
\(829\) | 12.1394 | + | 39.3548i | 0.421617 | + | 1.36685i | 0.878678 | + | 0.477414i | \(0.158426\pi\) |
−0.457061 | + | 0.889435i | \(0.651098\pi\) | |||||||
\(830\) | −9.09168 | − | 0.681327i | −0.315577 | − | 0.0236492i | ||||
\(831\) | 0.105977 | + | 0.538565i | 0.00367631 | + | 0.0186826i | ||||
\(832\) | 35.0119 | + | 20.2141i | 1.21382 | + | 0.700799i | ||||
\(833\) | −8.57390 | + | 48.4230i | −0.297068 | + | 1.67776i | ||||
\(834\) | −46.8086 | − | 24.3039i | −1.62085 | − | 0.841575i | ||||
\(835\) | 11.4826 | + | 14.3987i | 0.397372 | + | 0.498289i | ||||
\(836\) | −4.80505 | − | 3.27603i | −0.166186 | − | 0.113304i | ||||
\(837\) | 2.06546 | − | 22.8073i | 0.0713928 | − | 0.788336i | ||||
\(838\) | 2.06430 | + | 0.154698i | 0.0713101 | + | 0.00534396i | ||||
\(839\) | 3.42759 | + | 45.7380i | 0.118334 | + | 1.57905i | 0.668317 | + | 0.743876i | \(0.267015\pi\) |
−0.549984 | + | 0.835175i | \(0.685366\pi\) | |||||||
\(840\) | 1.28865 | − | 1.01606i | 0.0444627 | − | 0.0350574i | ||||
\(841\) | −3.57897 | + | 47.7580i | −0.123413 | + | 1.64683i | ||||
\(842\) | 0.985166 | − | 6.53615i | 0.0339511 | − | 0.225251i | ||||
\(843\) | −1.57244 | − | 13.0964i | −0.0541579 | − | 0.451065i | ||||
\(844\) | −27.4748 | + | 4.14116i | −0.945721 | + | 0.142545i | ||||
\(845\) | −24.2833 | − | 7.49041i | −0.835371 | − | 0.257678i | ||||
\(846\) | 3.70584 | − | 3.54052i | 0.127409 | − | 0.121726i | ||||
\(847\) | 17.1275 | − | 12.3045i | 0.588507 | − | 0.422789i | ||||
\(848\) | 2.44444 | − | 16.2178i | 0.0839425 | − | 0.556922i | ||||
\(849\) | 16.4524 | + | 7.03569i | 0.564645 | + | 0.241464i | ||||
\(850\) | −56.1900 | + | 12.8250i | −1.92730 | + | 0.439894i | ||||
\(851\) | − | 1.39948i | − | 0.0479735i | ||||||
\(852\) | 48.5319 | − | 2.17057i | 1.66268 | − | 0.0743625i | ||||
\(853\) | −14.4784 | − | 15.6040i | −0.495731 | − | 0.534271i | 0.434779 | − | 0.900537i | \(-0.356827\pi\) |
−0.930510 | + | 0.366266i | \(0.880636\pi\) | |||||||
\(854\) | 13.1436 | − | 36.0717i | 0.449765 | − | 1.23435i | ||||
\(855\) | −4.91655 | − | 0.667845i | −0.168142 | − | 0.0228398i | ||||
\(856\) | −1.89031 | − | 1.75395i | −0.0646094 | − | 0.0599488i | ||||
\(857\) | −2.04673 | − | 5.21499i | −0.0699150 | − | 0.178141i | 0.891645 | − | 0.452735i | \(-0.149552\pi\) |
−0.961560 | + | 0.274594i | \(0.911456\pi\) | |||||||
\(858\) | −37.6743 | − | 3.96678i | −1.28618 | − | 0.135424i | ||||
\(859\) | −6.53907 | − | 21.1991i | −0.223110 | − | 0.723306i | −0.996047 | − | 0.0888230i | \(-0.971689\pi\) |
0.772937 | − | 0.634483i | \(-0.218787\pi\) | |||||||
\(860\) | −11.9835 | − | 11.1190i | −0.408633 | − | 0.379156i | ||||
\(861\) | 2.32172 | − | 2.13047i | 0.0791239 | − | 0.0726064i | ||||
\(862\) | 10.9923 | − | 10.1994i | 0.374400 | − | 0.347392i | ||||
\(863\) | −24.6509 | − | 14.2322i | −0.839127 | − | 0.484470i | 0.0178403 | − | 0.999841i | \(-0.494321\pi\) |
−0.856967 | + | 0.515371i | \(0.827654\pi\) | |||||||
\(864\) | 39.6842 | − | 5.35315i | 1.35008 | − | 0.182118i | ||||
\(865\) | 3.03127 | − | 2.81261i | 0.103066 | − | 0.0956316i | ||||
\(866\) | 7.58014 | + | 3.65040i | 0.257584 | + | 0.124046i | ||||
\(867\) | 51.1968 | − | 22.7829i | 1.73873 | − | 0.773749i | ||||
\(868\) | 20.8015 | − | 2.07401i | 0.706047 | − | 0.0703964i | ||||
\(869\) | −4.55646 | − | 30.2301i | −0.154567 | − | 1.02549i | ||||
\(870\) | 6.60806 | − | 25.4014i | 0.224034 | − | 0.861187i | ||||
\(871\) | −4.94397 | − | 32.8011i | −0.167520 | − | 1.11142i | ||||
\(872\) | −4.03068 | + | 0.302058i | −0.136496 | + | 0.0102290i | ||||
\(873\) | −1.26934 | + | 21.0563i | −0.0429605 | + | 0.712648i | ||||
\(874\) | 3.35652 | + | 6.96988i | 0.113536 | + | 0.235760i | ||||
\(875\) | −2.14584 | − | 21.5219i | −0.0725426 | − | 0.727573i | ||||
\(876\) | 1.21851 | + | 10.1486i | 0.0411697 | + | 0.342891i | ||||
\(877\) | 21.3110 | + | 14.5296i | 0.719621 | + | 0.490630i | 0.866910 | − | 0.498464i | \(-0.166102\pi\) |
−0.147289 | + | 0.989093i | \(0.547055\pi\) | |||||||
\(878\) | −12.5429 | + | 54.9538i | −0.423301 | + | 1.85460i | ||||
\(879\) | 2.50225 | + | 0.0753530i | 0.0843988 | + | 0.00254159i | ||||
\(880\) | 5.27830 | − | 4.20931i | 0.177932 | − | 0.141896i | ||||
\(881\) | 30.3608 | 1.02288 | 0.511441 | − | 0.859318i | \(-0.329112\pi\) | ||||
0.511441 | + | 0.859318i | \(0.329112\pi\) | |||||||
\(882\) | −27.4843 | − | 30.2858i | −0.925444 | − | 1.01978i | ||||
\(883\) | −17.4601 | −0.587581 | −0.293790 | − | 0.955870i | \(-0.594917\pi\) | ||||
−0.293790 | + | 0.955870i | \(0.594917\pi\) | |||||||
\(884\) | −63.5395 | + | 50.6711i | −2.13706 | + | 1.70425i | ||||
\(885\) | 6.79405 | − | 10.9898i | 0.228380 | − | 0.369419i | ||||
\(886\) | 1.51559 | − | 6.64024i | 0.0509173 | − | 0.223083i | ||||
\(887\) | 3.43693 | + | 2.34326i | 0.115401 | + | 0.0786790i | 0.619645 | − | 0.784882i | \(-0.287277\pi\) |
−0.504244 | + | 0.863561i | \(0.668229\pi\) | |||||||
\(888\) | 0.367313 | − | 0.275251i | 0.0123262 | − | 0.00923681i | ||||
\(889\) | −0.659077 | − | 1.07940i | −0.0221047 | − | 0.0362018i | ||||
\(890\) | −5.54212 | − | 11.5083i | −0.185772 | − | 0.385760i | ||||
\(891\) | −13.3309 | + | 8.22432i | −0.446603 | + | 0.275525i | ||||
\(892\) | −2.31412 | + | 0.173419i | −0.0774825 | + | 0.00580651i | ||||
\(893\) | 0.243691 | + | 1.61678i | 0.00815481 | + | 0.0541036i | ||||
\(894\) | −13.3146 | − | 13.1217i | −0.445307 | − | 0.438857i | ||||
\(895\) | 0.884566 | + | 5.86871i | 0.0295678 | + | 0.196169i | ||||
\(896\) | −2.70298 | − | 8.05453i | −0.0903003 | − | 0.269083i | ||||
\(897\) | 19.2678 | + | 14.0043i | 0.643331 | + | 0.467590i | ||||
\(898\) | −24.0855 | − | 11.5990i | −0.803744 | − | 0.387063i | ||||
\(899\) | −28.3296 | + | 26.2861i | −0.944846 | + | 0.876689i | ||||
\(900\) | 9.53156 | − | 20.5543i | 0.317719 | − | 0.685144i | ||||
\(901\) | 22.8259 | + | 13.1785i | 0.760441 | + | 0.439041i | ||||
\(902\) | 1.70851 | − | 1.58526i | 0.0568870 | − | 0.0527834i | ||||
\(903\) | 29.5635 | − | 36.6540i | 0.983813 | − | 1.21977i | ||||
\(904\) | 2.09658 | + | 1.94535i | 0.0697314 | + | 0.0647013i | ||||
\(905\) | −2.77683 | − | 9.00227i | −0.0923050 | − | 0.299246i | ||||
\(906\) | 19.8653 | + | 44.6404i | 0.659980 | + | 1.48308i | ||||
\(907\) | 14.6447 | + | 37.3141i | 0.486270 | + | 1.23900i | 0.937936 | + | 0.346808i | \(0.112735\pi\) |
−0.451666 | + | 0.892187i | \(0.649170\pi\) | |||||||
\(908\) | −5.06647 | − | 4.70100i | −0.168137 | − | 0.156008i | ||||
\(909\) | 41.5547 | + | 32.1583i | 1.37828 | + | 1.06662i | ||||
\(910\) | −15.3751 | − | 25.1804i | −0.509680 | − | 0.834723i | ||||
\(911\) | −34.3294 | − | 36.9983i | −1.13738 | − | 1.22581i | −0.970828 | − | 0.239777i | \(-0.922926\pi\) |
−0.166556 | − | 0.986032i | \(-0.553265\pi\) | |||||||
\(912\) | −6.50312 | + | 12.5248i | −0.215340 | + | 0.414738i | ||||
\(913\) | − | 9.18201i | − | 0.303880i | ||||||
\(914\) | −25.1794 | + | 5.74702i | −0.832859 | + | 0.190095i | ||||
\(915\) | −1.36515 | − | 11.3700i | −0.0451306 | − | 0.375880i | ||||
\(916\) | −5.36562 | + | 35.5986i | −0.177285 | + | 1.17621i | ||||
\(917\) | 0.915785 | + | 2.17467i | 0.0302419 | + | 0.0718138i | ||||
\(918\) | −16.8928 | + | 69.0554i | −0.557544 | + | 2.27917i | ||||
\(919\) | 21.9165 | + | 6.76034i | 0.722958 | + | 0.223003i | 0.634331 | − | 0.773062i | \(-0.281276\pi\) |
0.0886275 | + | 0.996065i | \(0.471752\pi\) | |||||||
\(920\) | −0.754667 | + | 0.113748i | −0.0248806 | + | 0.00375015i | ||||
\(921\) | −10.4113 | − | 4.45230i | −0.343065 | − | 0.146708i | ||||
\(922\) | −0.0546047 | + | 0.362279i | −0.00179831 | + | 0.0119310i | ||||
\(923\) | −7.54425 | + | 100.671i | −0.248322 | + | 3.31363i | ||||
\(924\) | −9.66735 | − | 10.5351i | −0.318032 | − | 0.346580i | ||||
\(925\) | −0.206722 | − | 2.75852i | −0.00679699 | − | 0.0906995i | ||||
\(926\) | −0.609566 | − | 0.0456807i | −0.0200316 | − | 0.00150116i | ||||
\(927\) | −11.6833 | − | 28.5373i | −0.383732 | − | 0.937288i | ||||
\(928\) | −55.8338 | − | 38.0669i | −1.83284 | − | 1.24961i | ||||
\(929\) | −27.6831 | − | 34.7135i | −0.908253 | − | 1.13891i | −0.989831 | − | 0.142246i | \(-0.954568\pi\) |
0.0815787 | − | 0.996667i | \(-0.474004\pi\) | |||||||
\(930\) | 11.1183 | − | 7.09973i | 0.364583 | − | 0.232809i | ||||
\(931\) | 12.9469 | − | 1.61308i | 0.424317 | − | 0.0528665i | ||||
\(932\) | −31.1838 | − | 18.0040i | −1.02146 | − | 0.589739i | ||||
\(933\) | −14.0030 | + | 12.2295i | −0.458439 | + | 0.400377i | ||||
\(934\) | 34.2059 | + | 2.56338i | 1.11925 | + | 0.0838762i | ||||
\(935\) | 3.19793 | + | 10.3674i | 0.104584 | + | 0.339052i | ||||
\(936\) | 0.113976 | + | 7.81147i | 0.00372542 | + | 0.255326i | ||||
\(937\) | −4.54785 | + | 9.44370i | −0.148572 | + | 0.308512i | −0.961951 | − | 0.273221i | \(-0.911911\pi\) |
0.813380 | + | 0.581733i | \(0.197625\pi\) | |||||||
\(938\) | 14.3789 | − | 22.2454i | 0.469487 | − | 0.726339i | ||||
\(939\) | −5.35739 | + | 2.88166i | −0.174832 | + | 0.0940393i | ||||
\(940\) | 1.37995 | + | 0.207994i | 0.0450091 | + | 0.00678403i | ||||
\(941\) | −2.12712 | − | 1.02437i | −0.0693422 | − | 0.0333934i | 0.398891 | − | 0.916998i | \(-0.369395\pi\) |
−0.468233 | + | 0.883605i | \(0.655109\pi\) | |||||||
\(942\) | 40.9051 | − | 35.7244i | 1.33276 | − | 1.16396i | ||||
\(943\) | −1.42872 | + | 0.326096i | −0.0465255 | + | 0.0106191i | ||||
\(944\) | −22.9127 | − | 28.7316i | −0.745745 | − | 0.935135i | ||||
\(945\) | −11.3957 | − | 4.35375i | −0.370704 | − | 0.141628i | ||||
\(946\) | 21.7163 | − | 27.2313i | 0.706057 | − | 0.885367i | ||||
\(947\) | −16.4725 | + | 34.2055i | −0.535285 | + | 1.11153i | 0.441491 | + | 0.897266i | \(0.354450\pi\) |
−0.976776 | + | 0.214265i | \(0.931265\pi\) | |||||||
\(948\) | 52.5817 | − | 14.5011i | 1.70777 | − | 0.470975i | ||||
\(949\) | −21.2410 | −0.689511 | ||||||||
\(950\) | 7.64559 | + | 13.2426i | 0.248056 | + | 0.429645i | ||||
\(951\) | 10.9339 | + | 39.6467i | 0.354556 | + | 1.28563i | ||||
\(952\) | 7.49152 | + | 0.376564i | 0.242801 | + | 0.0122045i | ||||
\(953\) | 25.6286 | + | 5.84956i | 0.830192 | + | 0.189486i | 0.616440 | − | 0.787402i | \(-0.288574\pi\) |
0.213752 | + | 0.976888i | \(0.431431\pi\) | |||||||
\(954\) | −20.2857 | + | 8.30510i | −0.656774 | + | 0.268888i | ||||
\(955\) | 2.29207 | − | 15.2069i | 0.0741698 | − | 0.492084i | ||||
\(956\) | 17.1349 | − | 6.72496i | 0.554183 | − | 0.217501i | ||||
\(957\) | 26.0078 | + | 4.72470i | 0.840714 | + | 0.152728i | ||||
\(958\) | 7.38186 | − | 7.95575i | 0.238497 | − | 0.257039i | ||||
\(959\) | 24.8014 | + | 18.8002i | 0.800878 | + | 0.607091i | ||||
\(960\) | 6.85846 | + | 6.75912i | 0.221356 | + | 0.218150i | ||||
\(961\) | 11.5763 | 0.373430 | ||||||||
\(962\) | −4.12607 | − | 7.14656i | −0.133030 | − | 0.230414i | ||||
\(963\) | −3.99247 | + | 18.7490i | −0.128656 | + | 0.604178i | ||||
\(964\) | −22.8191 | − | 33.4695i | −0.734954 | − | 1.07798i | ||||
\(965\) | −1.47214 | − | 0.221890i | −0.0473900 | − | 0.00714289i | ||||
\(966\) | 4.12980 | + | 18.5664i | 0.132874 | + | 0.597363i | ||||
\(967\) | 39.7616 | − | 5.99310i | 1.27865 | − | 0.192725i | 0.525623 | − | 0.850717i | \(-0.323832\pi\) |
0.753025 | + | 0.657992i | \(0.228594\pi\) | |||||||
\(968\) | −2.18797 | − | 2.35807i | −0.0703239 | − | 0.0757911i | ||||
\(969\) | −14.9184 | − | 17.0819i | −0.479249 | − | 0.548750i | ||||
\(970\) | −10.0399 | + | 6.84510i | −0.322362 | + | 0.219783i | ||||
\(971\) | −6.62341 | − | 16.8762i | −0.212555 | − | 0.541582i | 0.784339 | − | 0.620333i | \(-0.213002\pi\) |
−0.996894 | + | 0.0787501i | \(0.974907\pi\) | |||||||
\(972\) | −17.4042 | − | 21.8657i | −0.558241 | − | 0.701343i | ||||
\(973\) | 40.0926 | − | 10.1936i | 1.28531 | − | 0.326792i | ||||
\(974\) | 33.0778 | − | 2.47884i | 1.05988 | − | 0.0794271i | ||||
\(975\) | 40.0474 | + | 24.7578i | 1.28254 | + | 0.792884i | ||||
\(976\) | −31.7550 | − | 7.24788i | −1.01645 | − | 0.231999i | ||||
\(977\) | 15.0693 | + | 31.2918i | 0.482111 | + | 1.00111i | 0.990180 | + | 0.139797i | \(0.0446450\pi\) |
−0.508069 | + | 0.861316i | \(0.669641\pi\) | |||||||
\(978\) | 38.1335 | − | 7.50378i | 1.21937 | − | 0.239945i | ||||
\(979\) | 11.1407 | − | 6.43206i | 0.356057 | − | 0.205569i | ||||
\(980\) | 1.94153 | − | 10.9653i | 0.0620200 | − | 0.350272i | ||||
\(981\) | 17.2866 | + | 24.5766i | 0.551918 | + | 0.784670i | ||||
\(982\) | 37.0743 | − | 5.58805i | 1.18309 | − | 0.178322i | ||||
\(983\) | 2.52335 | − | 33.6718i | 0.0804825 | − | 1.07396i | −0.800036 | − | 0.599952i | \(-0.795186\pi\) |
0.880518 | − | 0.474012i | \(-0.157195\pi\) | |||||||
\(984\) | −0.366590 | − | 0.310851i | −0.0116865 | − | 0.00990956i | ||||
\(985\) | 0.304296 | − | 0.446320i | 0.00969566 | − | 0.0142209i | ||||
\(986\) | 99.1248 | − | 67.5821i | 3.15678 | − | 2.15225i | ||||
\(987\) | −0.322573 | + | 4.00705i | −0.0102676 | + | 0.127546i | ||||
\(988\) | 17.8152 | + | 12.1462i | 0.566777 | + | 0.386422i | ||||
\(989\) | −20.3863 | + | 8.00105i | −0.648248 | + | 0.254418i | ||||
\(990\) | −8.44647 | − | 3.17358i | −0.268446 | − | 0.100863i | ||||
\(991\) | 18.0049 | − | 45.8757i | 0.571944 | − | 1.45729i | −0.293339 | − | 0.956008i | \(-0.594767\pi\) |
0.865284 | − | 0.501282i | \(-0.167138\pi\) | |||||||
\(992\) | −7.55767 | − | 33.1123i | −0.239956 | − | 1.05132i | ||||
\(993\) | −14.0194 | + | 12.2438i | −0.444891 | + | 0.388544i | ||||
\(994\) | −57.7278 | + | 56.2660i | −1.83101 | + | 1.78465i | ||||
\(995\) | −10.2702 | + | 4.03077i | −0.325588 | + | 0.127784i | ||||
\(996\) | 16.2654 | − | 1.95293i | 0.515388 | − | 0.0618809i | ||||
\(997\) | 14.8025 | − | 47.9886i | 0.468801 | − | 1.51982i | −0.344961 | − | 0.938617i | \(-0.612108\pi\) |
0.813762 | − | 0.581198i | \(-0.197416\pi\) | |||||||
\(998\) | −9.78676 | + | 5.65039i | −0.309795 | + | 0.178860i | ||||
\(999\) | −3.15652 | − | 1.29571i | −0.0998680 | − | 0.0409945i |
(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 | 441.2.bn.a.5.10 | yes | 648 | |
9.2 | odd | 6 | 441.2.bd.a.299.10 | yes | 648 | ||
49.10 | odd | 42 | 441.2.bd.a.59.10 | ✓ | 648 | ||
441.353 | even | 42 | inner | 441.2.bn.a.353.10 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.bd.a.59.10 | ✓ | 648 | 49.10 | odd | 42 | ||
441.2.bd.a.299.10 | yes | 648 | 9.2 | odd | 6 | ||
441.2.bn.a.5.10 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.bn.a.353.10 | yes | 648 | 441.353 | even | 42 | inner |