Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [392,2,Mod(37,392)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(392, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([0, 21, 32]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("392.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 392 = 2^{3} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 392.z (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: | \(3.13013575923\) |
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 | 109.44 | ||
Character | \(\chi\) | \(=\) | 392.109 |
Dual form | 392.2.z.a.205.44 |
$q$-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 \(\left(\mathbb{Z}/392\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(295\) | \(297\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{20}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.21309 | + | 0.726927i | 0.857781 | + | 0.514015i | ||||
\(3\) | 0.0230268 | + | 0.152773i | 0.0132945 | + | 0.0882036i | 0.994494 | − | 0.104792i | \(-0.0334177\pi\) |
−0.981200 | + | 0.192996i | \(0.938180\pi\) | |||||||
\(4\) | 0.943154 | + | 1.76365i | 0.471577 | + | 0.881825i | ||||
\(5\) | 0.525668 | + | 0.206310i | 0.235086 | + | 0.0922644i | 0.479960 | − | 0.877291i | \(-0.340651\pi\) |
−0.244874 | + | 0.969555i | \(0.578747\pi\) | |||||||
\(6\) | −0.0831214 | + | 0.202066i | −0.0339342 | + | 0.0824929i | ||||
\(7\) | −2.63610 | − | 0.225735i | −0.996354 | − | 0.0853197i | ||||
\(8\) | −0.137919 | + | 2.82506i | −0.0487618 | + | 0.998810i | ||||
\(9\) | 2.84391 | − | 0.877230i | 0.947970 | − | 0.292410i | ||||
\(10\) | 0.487708 | + | 0.632394i | 0.154227 | + | 0.199980i | ||||
\(11\) | −1.80388 | + | 5.84803i | −0.543890 | + | 1.76325i | 0.0966457 | + | 0.995319i | \(0.469189\pi\) |
−0.640535 | + | 0.767929i | \(0.721288\pi\) | |||||||
\(12\) | −0.247720 | + | 0.184700i | −0.0715107 | + | 0.0533182i | ||||
\(13\) | 6.52741 | − | 1.48984i | 1.81038 | − | 0.413207i | 0.822541 | − | 0.568706i | \(-0.192556\pi\) |
0.987836 | + | 0.155500i | \(0.0496988\pi\) | |||||||
\(14\) | −3.03373 | − | 2.19009i | −0.810798 | − | 0.585327i | ||||
\(15\) | −0.0194141 | + | 0.0850586i | −0.00501269 | + | 0.0219620i | ||||
\(16\) | −2.22092 | + | 3.32679i | −0.555231 | + | 0.831696i | ||||
\(17\) | −4.09945 | + | 2.79496i | −0.994263 | + | 0.677877i | −0.947076 | − | 0.321009i | \(-0.895978\pi\) |
−0.0471870 | + | 0.998886i | \(0.515026\pi\) | |||||||
\(18\) | 4.08759 | + | 1.00316i | 0.963454 | + | 0.236447i | ||||
\(19\) | 3.64219 | − | 2.10282i | 0.835575 | − | 0.482419i | −0.0201826 | − | 0.999796i | \(-0.506425\pi\) |
0.855758 | + | 0.517377i | \(0.173091\pi\) | |||||||
\(20\) | 0.131928 | + | 1.12168i | 0.0295000 | + | 0.250814i | ||||
\(21\) | −0.0262149 | − | 0.407924i | −0.00572057 | − | 0.0890162i | ||||
\(22\) | −6.43935 | + | 5.78287i | −1.37287 | + | 1.23291i | ||||
\(23\) | −1.89465 | − | 1.29175i | −0.395062 | − | 0.269349i | 0.349454 | − | 0.936954i | \(-0.386367\pi\) |
−0.744516 | + | 0.667605i | \(0.767320\pi\) | |||||||
\(24\) | −0.434769 | + | 0.0439819i | −0.0887469 | + | 0.00897777i | ||||
\(25\) | −3.43150 | − | 3.18396i | −0.686299 | − | 0.636793i | ||||
\(26\) | 9.00131 | + | 2.93765i | 1.76530 | + | 0.576120i | ||||
\(27\) | 0.400607 | + | 0.831868i | 0.0770968 | + | 0.160093i | ||||
\(28\) | −2.08813 | − | 4.86207i | −0.394620 | − | 0.918844i | ||||
\(29\) | 2.65570 | − | 5.51461i | 0.493151 | − | 1.02404i | −0.494762 | − | 0.869028i | \(-0.664745\pi\) |
0.987913 | − | 0.155010i | \(-0.0495409\pi\) | |||||||
\(30\) | −0.0853823 | + | 0.0890707i | −0.0155886 | + | 0.0162620i | ||||
\(31\) | 3.34270 | − | 5.78972i | 0.600366 | − | 1.03986i | −0.392399 | − | 0.919795i | \(-0.628355\pi\) |
0.992765 | − | 0.120070i | \(-0.0383119\pi\) | |||||||
\(32\) | −5.11250 | + | 2.42123i | −0.903771 | + | 0.428016i | ||||
\(33\) | −0.934959 | − | 0.140922i | −0.162755 | − | 0.0245314i | ||||
\(34\) | −7.00472 | + | 0.410521i | −1.20130 | + | 0.0704038i | ||||
\(35\) | −1.33914 | − | 0.662515i | −0.226357 | − | 0.111985i | ||||
\(36\) | 4.22937 | + | 4.18830i | 0.704895 | + | 0.698050i | ||||
\(37\) | −5.30623 | + | 0.397647i | −0.872339 | + | 0.0653728i | −0.503372 | − | 0.864070i | \(-0.667907\pi\) |
−0.368967 | + | 0.929443i | \(0.620288\pi\) | |||||||
\(38\) | 5.94688 | + | 0.0967071i | 0.964711 | + | 0.0156880i | ||||
\(39\) | 0.377912 | + | 0.962905i | 0.0605144 | + | 0.154188i | ||||
\(40\) | −0.655337 | + | 1.45659i | −0.103618 | + | 0.230307i | ||||
\(41\) | −4.66691 | − | 5.85212i | −0.728849 | − | 0.913948i | 0.269953 | − | 0.962873i | \(-0.412992\pi\) |
−0.998802 | + | 0.0489255i | \(0.984420\pi\) | |||||||
\(42\) | 0.264730 | − | 0.513903i | 0.0408487 | − | 0.0792969i | ||||
\(43\) | 1.84701 | + | 1.47294i | 0.281667 | + | 0.224622i | 0.754124 | − | 0.656732i | \(-0.228062\pi\) |
−0.472457 | + | 0.881354i | \(0.656633\pi\) | |||||||
\(44\) | −12.0152 | + | 2.33418i | −1.81136 | + | 0.351891i | ||||
\(45\) | 1.67593 | + | 0.125594i | 0.249833 | + | 0.0187224i | ||||
\(46\) | −1.35936 | − | 2.94428i | −0.200427 | − | 0.434110i | ||||
\(47\) | 2.94701 | − | 2.73443i | 0.429866 | − | 0.398858i | −0.435346 | − | 0.900263i | \(-0.643374\pi\) |
0.865212 | + | 0.501406i | \(0.167184\pi\) | |||||||
\(48\) | −0.559384 | − | 0.262692i | −0.0807401 | − | 0.0379163i | ||||
\(49\) | 6.89809 | + | 1.19012i | 0.985441 | + | 0.170017i | ||||
\(50\) | −1.84819 | − | 6.35687i | −0.261373 | − | 0.898997i | ||||
\(51\) | −0.521392 | − | 0.561927i | −0.0730095 | − | 0.0786855i | ||||
\(52\) | 8.78390 | + | 10.1069i | 1.21811 | + | 1.40158i | ||||
\(53\) | 2.92702 | + | 0.219350i | 0.402058 | + | 0.0301300i | 0.274225 | − | 0.961666i | \(-0.411579\pi\) |
0.127833 | + | 0.991796i | \(0.459198\pi\) | |||||||
\(54\) | −0.118738 | + | 1.30034i | −0.0161581 | + | 0.176954i | ||||
\(55\) | −2.15475 | + | 2.70197i | −0.290546 | + | 0.364333i | ||||
\(56\) | 1.00128 | − | 7.41603i | 0.133802 | − | 0.991008i | ||||
\(57\) | 0.405122 | + | 0.508007i | 0.0536597 | + | 0.0672871i | ||||
\(58\) | 7.23031 | − | 4.75920i | 0.949386 | − | 0.624913i | ||||
\(59\) | −0.729205 | + | 0.286192i | −0.0949344 | + | 0.0372590i | −0.412333 | − | 0.911033i | \(-0.635286\pi\) |
0.317399 | + | 0.948292i | \(0.397191\pi\) | |||||||
\(60\) | −0.168324 | + | 0.0459837i | −0.0217305 | + | 0.00593647i | ||||
\(61\) | 1.54097 | − | 0.115480i | 0.197301 | − | 0.0147857i | 0.0242871 | − | 0.999705i | \(-0.492268\pi\) |
0.173014 | + | 0.984919i | \(0.444649\pi\) | |||||||
\(62\) | 8.26369 | − | 4.59353i | 1.04949 | − | 0.583379i | ||||
\(63\) | −7.69486 | + | 1.67050i | −0.969461 | + | 0.210463i | ||||
\(64\) | −7.96196 | − | 0.779261i | −0.995245 | − | 0.0974076i | ||||
\(65\) | 3.73862 | + | 0.563506i | 0.463718 | + | 0.0698943i | ||||
\(66\) | −1.03174 | − | 0.850598i | −0.126999 | − | 0.104701i | ||||
\(67\) | 0.598085 | + | 0.345304i | 0.0730677 | + | 0.0421856i | 0.536089 | − | 0.844162i | \(-0.319901\pi\) |
−0.463021 | + | 0.886347i | \(0.653235\pi\) | |||||||
\(68\) | −8.79574 | − | 4.59392i | −1.06664 | − | 0.557095i | ||||
\(69\) | 0.153717 | − | 0.319197i | 0.0185053 | − | 0.0384267i | ||||
\(70\) | −1.14290 | − | 1.77715i | −0.136602 | − | 0.212410i | ||||
\(71\) | −2.58966 | + | 1.24711i | −0.307336 | + | 0.148005i | −0.581194 | − | 0.813765i | \(-0.697414\pi\) |
0.273858 | + | 0.961770i | \(0.411700\pi\) | |||||||
\(72\) | 2.08600 | + | 8.15521i | 0.245837 | + | 0.961100i | ||||
\(73\) | 5.90067 | + | 5.47502i | 0.690621 | + | 0.640803i | 0.945292 | − | 0.326225i | \(-0.105777\pi\) |
−0.254671 | + | 0.967028i | \(0.581967\pi\) | |||||||
\(74\) | −6.72597 | − | 3.37486i | −0.781878 | − | 0.392320i | ||||
\(75\) | 0.407407 | − | 0.597557i | 0.0470433 | − | 0.0689999i | ||||
\(76\) | 7.14378 | + | 4.44026i | 0.819447 | + | 0.509333i | ||||
\(77\) | 6.07531 | − | 15.0088i | 0.692346 | − | 1.71041i | ||||
\(78\) | −0.241522 | + | 1.44280i | −0.0273470 | + | 0.163365i | ||||
\(79\) | −5.41460 | − | 9.37836i | −0.609190 | − | 1.05515i | −0.991374 | − | 0.131062i | \(-0.958161\pi\) |
0.382184 | − | 0.924086i | \(-0.375172\pi\) | |||||||
\(80\) | −1.85382 | + | 1.29059i | −0.207263 | + | 0.144292i | ||||
\(81\) | 7.25912 | − | 4.94918i | 0.806569 | − | 0.549909i | ||||
\(82\) | −1.40730 | − | 10.4916i | −0.155410 | − | 1.15861i | ||||
\(83\) | −10.4710 | − | 2.38994i | −1.14934 | − | 0.262330i | −0.394917 | − | 0.918717i | \(-0.629227\pi\) |
−0.754424 | + | 0.656387i | \(0.772084\pi\) | |||||||
\(84\) | 0.694710 | − | 0.430969i | 0.0757990 | − | 0.0470225i | ||||
\(85\) | −2.73158 | + | 0.623465i | −0.296281 | + | 0.0676242i | ||||
\(86\) | 1.16986 | + | 3.12945i | 0.126150 | + | 0.337458i | ||||
\(87\) | 0.903637 | + | 0.278735i | 0.0968800 | + | 0.0298835i | ||||
\(88\) | −16.2723 | − | 5.90263i | −1.73463 | − | 0.629222i | ||||
\(89\) | 9.73745 | − | 3.00360i | 1.03217 | − | 0.318381i | 0.268013 | − | 0.963415i | \(-0.413633\pi\) |
0.764154 | + | 0.645034i | \(0.223157\pi\) | |||||||
\(90\) | 1.94175 | + | 1.37064i | 0.204679 | + | 0.144478i | ||||
\(91\) | −17.5432 | + | 2.45390i | −1.83903 | + | 0.257239i | ||||
\(92\) | 0.491250 | − | 4.55982i | 0.0512164 | − | 0.475394i | ||||
\(93\) | 0.961485 | + | 0.377355i | 0.0997014 | + | 0.0391299i | ||||
\(94\) | 5.56271 | − | 1.17483i | 0.573750 | − | 0.121175i | ||||
\(95\) | 2.34841 | − | 0.353966i | 0.240942 | − | 0.0363162i | ||||
\(96\) | −0.487623 | − | 0.725299i | −0.0497678 | − | 0.0740255i | ||||
\(97\) | −8.51056 | −0.864116 | −0.432058 | − | 0.901846i | \(-0.642212\pi\) | ||||
−0.432058 | + | 0.901846i | \(0.642212\pi\) | |||||||
\(98\) | 7.50284 | + | 6.45813i | 0.757901 | + | 0.652369i | ||||
\(99\) | 18.2137i | 1.83054i | ||||||||
\(100\) | 2.37897 | − | 9.05492i | 0.237897 | − | 0.905492i | ||||
\(101\) | −1.11690 | − | 7.41014i | −0.111136 | − | 0.737336i | −0.973103 | − | 0.230372i | \(-0.926006\pi\) |
0.861967 | − | 0.506964i | \(-0.169232\pi\) | |||||||
\(102\) | −0.224013 | − | 1.06068i | −0.0221806 | − | 0.105023i | ||||
\(103\) | 5.19123 | − | 13.2270i | 0.511507 | − | 1.30330i | −0.408986 | − | 0.912541i | \(-0.634117\pi\) |
0.920493 | − | 0.390759i | \(-0.127787\pi\) | |||||||
\(104\) | 3.30863 | + | 18.6458i | 0.324438 | + | 1.82837i | ||||
\(105\) | 0.0703782 | − | 0.219841i | 0.00686820 | − | 0.0214543i | ||||
\(106\) | 3.39128 | + | 2.39382i | 0.329390 | + | 0.232509i | ||||
\(107\) | 2.65746 | + | 8.61527i | 0.256906 | + | 0.832870i | 0.988512 | + | 0.151142i | \(0.0482950\pi\) |
−0.731606 | + | 0.681728i | \(0.761229\pi\) | |||||||
\(108\) | −1.08929 | + | 1.49111i | −0.104817 | + | 0.143482i | ||||
\(109\) | −3.39822 | + | 11.0168i | −0.325491 | + | 1.05522i | 0.633966 | + | 0.773361i | \(0.281426\pi\) |
−0.959457 | + | 0.281855i | \(0.909050\pi\) | |||||||
\(110\) | −4.57802 | + | 1.71137i | −0.436497 | + | 0.163173i | ||||
\(111\) | −0.182935 | − | 0.801492i | −0.0173635 | − | 0.0760743i | ||||
\(112\) | 6.60555 | − | 8.26841i | 0.624166 | − | 0.781292i | ||||
\(113\) | −3.01275 | + | 13.1997i | −0.283416 | + | 1.24173i | 0.609965 | + | 0.792428i | \(0.291183\pi\) |
−0.893381 | + | 0.449299i | \(0.851674\pi\) | |||||||
\(114\) | 0.122164 | + | 0.910750i | 0.0114417 | + | 0.0852995i | ||||
\(115\) | −0.729457 | − | 1.06992i | −0.0680222 | − | 0.0997703i | ||||
\(116\) | 12.2306 | − | 0.517406i | 1.13558 | − | 0.0480399i | ||||
\(117\) | 17.2564 | − | 9.96300i | 1.59536 | − | 0.921079i | ||||
\(118\) | −1.09263 | − | 0.182904i | −0.100585 | − | 0.0168377i | ||||
\(119\) | 11.4375 | − | 6.44241i | 1.04847 | − | 0.590575i | ||||
\(120\) | −0.237618 | − | 0.0665771i | −0.0216915 | − | 0.00607763i | ||||
\(121\) | −21.8569 | − | 14.9017i | −1.98699 | − | 1.35470i | ||||
\(122\) | 1.95328 | + | 0.980087i | 0.176841 | + | 0.0887329i | ||||
\(123\) | 0.786582 | − | 0.847734i | 0.0709237 | − | 0.0764376i | ||||
\(124\) | 13.3637 | + | 0.434752i | 1.20010 | + | 0.0390419i | ||||
\(125\) | −2.37203 | − | 4.92556i | −0.212160 | − | 0.440556i | ||||
\(126\) | −10.5489 | − | 3.56715i | −0.939767 | − | 0.317787i | ||||
\(127\) | 8.18124 | + | 3.93988i | 0.725968 | + | 0.349608i | 0.760097 | − | 0.649810i | \(-0.225151\pi\) |
−0.0341292 | + | 0.999417i | \(0.510866\pi\) | |||||||
\(128\) | −9.09207 | − | 6.73307i | −0.803633 | − | 0.595125i | ||||
\(129\) | −0.182495 | + | 0.316091i | −0.0160678 | + | 0.0278303i | ||||
\(130\) | 4.12563 | + | 3.40128i | 0.361842 | + | 0.298312i | ||||
\(131\) | −1.35426 | + | 8.98496i | −0.118323 | + | 0.785020i | 0.848430 | + | 0.529307i | \(0.177548\pi\) |
−0.966753 | + | 0.255712i | \(0.917690\pi\) | |||||||
\(132\) | −0.633272 | − | 1.78185i | −0.0551193 | − | 0.155090i | ||||
\(133\) | −10.0759 | + | 4.72108i | −0.873688 | + | 0.409369i | ||||
\(134\) | 0.474517 | + | 0.853648i | 0.0409920 | + | 0.0737439i | ||||
\(135\) | 0.0389638 | + | 0.519936i | 0.00335347 | + | 0.0447489i | ||||
\(136\) | −7.33054 | − | 11.9667i | −0.628589 | − | 1.02613i | ||||
\(137\) | 6.69369 | + | 17.0552i | 0.571880 | + | 1.45713i | 0.865355 | + | 0.501160i | \(0.167093\pi\) |
−0.293474 | + | 0.955967i | \(0.594811\pi\) | |||||||
\(138\) | 0.418505 | − | 0.275472i | 0.0356255 | − | 0.0234497i | ||||
\(139\) | 4.30096 | − | 3.42991i | 0.364803 | − | 0.290921i | −0.423883 | − | 0.905717i | \(-0.639333\pi\) |
0.788686 | + | 0.614796i | \(0.210762\pi\) | |||||||
\(140\) | −0.0945744 | − | 2.98664i | −0.00799300 | − | 0.252417i | ||||
\(141\) | 0.485608 | + | 0.387259i | 0.0408955 | + | 0.0326131i | ||||
\(142\) | −4.04804 | − | 0.369638i | −0.339704 | − | 0.0310193i | ||||
\(143\) | −3.06203 | + | 40.8599i | −0.256060 | + | 3.41688i | ||||
\(144\) | −3.39775 | + | 11.4093i | −0.283146 | + | 0.950778i | ||||
\(145\) | 2.53373 | − | 2.35096i | 0.210415 | − | 0.195237i | ||||
\(146\) | 3.17808 | + | 10.9310i | 0.263019 | + | 0.904659i | ||||
\(147\) | −0.0229773 | + | 1.08125i | −0.00189513 | + | 0.0891797i | ||||
\(148\) | −5.70590 | − | 8.98329i | −0.469022 | − | 0.738422i | ||||
\(149\) | −5.00550 | − | 5.39464i | −0.410066 | − | 0.441946i | 0.493920 | − | 0.869507i | \(-0.335563\pi\) |
−0.903987 | + | 0.427561i | \(0.859373\pi\) | |||||||
\(150\) | 0.928600 | − | 0.428732i | 0.0758199 | − | 0.0350058i | ||||
\(151\) | −0.366619 | + | 4.89220i | −0.0298351 | + | 0.398121i | 0.962216 | + | 0.272287i | \(0.0877799\pi\) |
−0.992051 | + | 0.125835i | \(0.959839\pi\) | |||||||
\(152\) | 5.43826 | + | 10.5794i | 0.441101 | + | 0.858105i | ||||
\(153\) | −9.20665 | + | 11.5448i | −0.744313 | + | 0.933339i | ||||
\(154\) | 18.2802 | − | 13.7907i | 1.47306 | − | 1.11128i | ||||
\(155\) | 2.95162 | − | 2.35384i | 0.237080 | − | 0.189065i | ||||
\(156\) | −1.34180 | + | 1.57467i | −0.107430 | + | 0.126075i | ||||
\(157\) | −8.20797 | + | 3.22139i | −0.655067 | + | 0.257095i | −0.669513 | − | 0.742801i | \(-0.733497\pi\) |
0.0144453 | + | 0.999896i | \(0.495402\pi\) | |||||||
\(158\) | 0.249013 | − | 15.3128i | 0.0198104 | − | 1.21822i | ||||
\(159\) | 0.0338893 | + | 0.452221i | 0.00268760 | + | 0.0358635i | ||||
\(160\) | −3.18700 | + | 0.218004i | −0.251954 | + | 0.0172347i | ||||
\(161\) | 4.70290 | + | 3.83288i | 0.370641 | + | 0.302073i | ||||
\(162\) | 12.4036 | − | 0.726932i | 0.974521 | − | 0.0571132i | ||||
\(163\) | −0.262654 | + | 1.74260i | −0.0205727 | + | 0.136491i | −0.996759 | − | 0.0804416i | \(-0.974367\pi\) |
0.976187 | + | 0.216932i | \(0.0696051\pi\) | |||||||
\(164\) | 5.91948 | − | 13.7502i | 0.462234 | − | 1.07371i | ||||
\(165\) | −0.462404 | − | 0.266969i | −0.0359981 | − | 0.0207835i | ||||
\(166\) | −10.9649 | − | 10.5108i | −0.851042 | − | 0.815800i | ||||
\(167\) | −13.7789 | − | 6.63555i | −1.06624 | − | 0.513474i | −0.183347 | − | 0.983048i | \(-0.558693\pi\) |
−0.882893 | + | 0.469574i | \(0.844408\pi\) | |||||||
\(168\) | 1.15603 | − | 0.0177983i | 0.0891893 | − | 0.00137317i | ||||
\(169\) | 28.6748 | − | 13.8091i | 2.20575 | − | 1.06224i | ||||
\(170\) | −3.76685 | − | 1.22934i | −0.288904 | − | 0.0942862i | ||||
\(171\) | 8.51339 | − | 9.17526i | 0.651036 | − | 0.701649i | ||||
\(172\) | −0.855741 | + | 4.64670i | −0.0652496 | + | 0.354308i | ||||
\(173\) | −8.98475 | + | 13.1782i | −0.683098 | + | 1.00192i | 0.315497 | + | 0.948926i | \(0.397829\pi\) |
−0.998595 | + | 0.0529936i | \(0.983124\pi\) | |||||||
\(174\) | 0.893568 | + | 0.995007i | 0.0677413 | + | 0.0754313i | ||||
\(175\) | 8.32705 | + | 9.16787i | 0.629466 | + | 0.693025i | ||||
\(176\) | −15.4489 | − | 18.9891i | −1.16450 | − | 1.43136i | ||||
\(177\) | −0.0605137 | − | 0.104813i | −0.00454849 | − | 0.00787821i | ||||
\(178\) | 13.9958 | + | 3.43479i | 1.04903 | + | 0.257448i | ||||
\(179\) | −7.45455 | − | 10.9338i | −0.557179 | − | 0.817231i | 0.439536 | − | 0.898225i | \(-0.355143\pi\) |
−0.996715 | + | 0.0809937i | \(0.974191\pi\) | |||||||
\(180\) | 1.35916 | + | 3.07421i | 0.101306 | + | 0.229138i | ||||
\(181\) | 15.7198 | + | 3.58795i | 1.16845 | + | 0.266690i | 0.762365 | − | 0.647147i | \(-0.224038\pi\) |
0.406080 | + | 0.913837i | \(0.366895\pi\) | |||||||
\(182\) | −23.0652 | − | 9.77585i | −1.70971 | − | 0.724634i | ||||
\(183\) | 0.0531259 | + | 0.232760i | 0.00392718 | + | 0.0172061i | ||||
\(184\) | 3.91059 | − | 5.17435i | 0.288292 | − | 0.381458i | ||||
\(185\) | −2.87135 | − | 0.885695i | −0.211106 | − | 0.0651176i | ||||
\(186\) | 0.892054 | + | 1.15669i | 0.0654086 | + | 0.0848129i | ||||
\(187\) | −8.95009 | − | 29.0155i | −0.654496 | − | 2.12182i | ||||
\(188\) | 7.60206 | + | 2.61851i | 0.554437 | + | 0.190975i | ||||
\(189\) | −0.868259 | − | 2.28332i | −0.0631566 | − | 0.166087i | ||||
\(190\) | 3.10613 | + | 1.27773i | 0.225343 | + | 0.0926966i | ||||
\(191\) | −4.28466 | + | 10.9171i | −0.310027 | + | 0.789936i | 0.687914 | + | 0.725792i | \(0.258527\pi\) |
−0.997941 | + | 0.0641433i | \(0.979569\pi\) | |||||||
\(192\) | −0.0642886 | − | 1.23432i | −0.00463963 | − | 0.0890791i | ||||
\(193\) | −10.4895 | + | 1.58103i | −0.755047 | + | 0.113805i | −0.515276 | − | 0.857024i | \(-0.672311\pi\) |
−0.239771 | + | 0.970829i | \(0.577072\pi\) | |||||||
\(194\) | −10.3240 | − | 6.18656i | −0.741222 | − | 0.444169i | ||||
\(195\) | 0.584136i | 0.0418308i | ||||||||
\(196\) | 4.40700 | + | 13.2883i | 0.314786 | + | 0.949163i | ||||
\(197\) | 4.17578i | 0.297512i | 0.988874 | + | 0.148756i | \(0.0475269\pi\) | ||||
−0.988874 | + | 0.148756i | \(0.952473\pi\) | |||||||
\(198\) | −13.2400 | + | 22.0948i | −0.940927 | + | 1.57021i | ||||
\(199\) | −13.0444 | + | 1.96613i | −0.924696 | + | 0.139375i | −0.594095 | − | 0.804395i | \(-0.702490\pi\) |
−0.330601 | + | 0.943771i | \(0.607251\pi\) | |||||||
\(200\) | 9.46816 | − | 9.25506i | 0.669500 | − | 0.654432i | ||||
\(201\) | −0.0389812 | + | 0.0993225i | −0.00274952 | + | 0.00700567i | ||||
\(202\) | 4.03174 | − | 9.80103i | 0.283672 | − | 0.689598i | ||||
\(203\) | −8.24554 | + | 13.9376i | −0.578723 | + | 0.978228i | ||||
\(204\) | 0.499290 | − | 1.44954i | 0.0349573 | − | 0.101488i | ||||
\(205\) | −1.24590 | − | 4.03910i | −0.0870173 | − | 0.282103i | ||||
\(206\) | 15.9125 | − | 12.2719i | 1.10868 | − | 0.855023i | ||||
\(207\) | −6.52138 | − | 2.01158i | −0.453267 | − | 0.139814i | ||||
\(208\) | −9.54049 | + | 25.0241i | −0.661514 | + | 1.73511i | ||||
\(209\) | 5.72728 | + | 25.0928i | 0.396164 | + | 1.73571i | ||||
\(210\) | 0.245183 | − | 0.215526i | 0.0169192 | − | 0.0148727i | ||||
\(211\) | 7.47606 | + | 1.70636i | 0.514673 | + | 0.117471i | 0.471966 | − | 0.881617i | \(-0.343545\pi\) |
0.0427074 | + | 0.999088i | \(0.486402\pi\) | |||||||
\(212\) | 2.37378 | + | 5.36912i | 0.163032 | + | 0.368753i | ||||
\(213\) | −0.250157 | − | 0.366913i | −0.0171405 | − | 0.0251405i | ||||
\(214\) | −3.03895 | + | 12.3828i | −0.207738 | + | 0.846474i | ||||
\(215\) | 0.667034 | + | 1.15534i | 0.0454913 | + | 0.0787933i | ||||
\(216\) | −2.40533 | + | 1.01701i | −0.163662 | + | 0.0691986i | ||||
\(217\) | −10.1186 | + | 14.5077i | −0.686898 | + | 0.984850i | ||||
\(218\) | −12.1307 | + | 10.8940i | −0.821597 | + | 0.737837i | ||||
\(219\) | −0.700562 | + | 1.02754i | −0.0473396 | + | 0.0694344i | ||||
\(220\) | −6.79758 | − | 1.25185i | −0.458293 | − | 0.0843996i | ||||
\(221\) | −22.5947 | + | 24.3513i | −1.51989 | + | 1.63805i | ||||
\(222\) | 0.360710 | − | 1.10526i | 0.0242093 | − | 0.0741802i | ||||
\(223\) | −15.0323 | + | 7.23919i | −1.00664 | + | 0.484772i | −0.863187 | − | 0.504885i | \(-0.831535\pi\) |
−0.143453 | + | 0.989657i | \(0.545821\pi\) | |||||||
\(224\) | 14.0236 | − | 5.22854i | 0.936994 | − | 0.349346i | ||||
\(225\) | −12.5519 | − | 6.04469i | −0.836795 | − | 0.402979i | ||||
\(226\) | −13.2500 | + | 13.8224i | −0.881376 | + | 0.919450i | ||||
\(227\) | 5.31326 | + | 3.06761i | 0.352653 | + | 0.203604i | 0.665853 | − | 0.746083i | \(-0.268068\pi\) |
−0.313200 | + | 0.949687i | \(0.601401\pi\) | |||||||
\(228\) | −0.513854 | + | 1.19362i | −0.0340308 | + | 0.0790495i | ||||
\(229\) | −1.34697 | + | 8.93659i | −0.0890105 | + | 0.590546i | 0.899211 | + | 0.437515i | \(0.144141\pi\) |
−0.988221 | + | 0.153031i | \(0.951097\pi\) | |||||||
\(230\) | −0.107142 | − | 1.82816i | −0.00706474 | − | 0.120546i | ||||
\(231\) | 2.43284 | + | 0.582539i | 0.160069 | + | 0.0383282i | ||||
\(232\) | 15.2129 | + | 8.26308i | 0.998773 | + | 0.542498i | ||||
\(233\) | −0.175776 | − | 2.34556i | −0.0115155 | − | 0.153663i | −0.999997 | − | 0.00232356i | \(-0.999260\pi\) |
0.988482 | − | 0.151339i | \(-0.0483587\pi\) | |||||||
\(234\) | 28.1759 | + | 0.458191i | 1.84192 | + | 0.0299529i | ||||
\(235\) | 2.11329 | − | 0.829405i | 0.137856 | − | 0.0541044i | ||||
\(236\) | −1.19249 | − | 1.01614i | −0.0776248 | − | 0.0661451i | ||||
\(237\) | 1.30808 | − | 1.04316i | 0.0849689 | − | 0.0677604i | ||||
\(238\) | 18.5578 | + | 0.499032i | 1.20293 | + | 0.0323474i | ||||
\(239\) | 0.269401 | − | 0.337818i | 0.0174261 | − | 0.0218516i | −0.773042 | − | 0.634355i | \(-0.781266\pi\) |
0.790468 | + | 0.612503i | \(0.209837\pi\) | |||||||
\(240\) | −0.239854 | − | 0.253495i | −0.0154825 | − | 0.0163630i | ||||
\(241\) | 0.974499 | − | 13.0038i | 0.0627730 | − | 0.837648i | −0.873601 | − | 0.486643i | \(-0.838221\pi\) |
0.936374 | − | 0.351004i | \(-0.114160\pi\) | |||||||
\(242\) | −15.6817 | − | 33.9654i | −1.00806 | − | 2.18338i | ||||
\(243\) | 2.80728 | + | 3.02552i | 0.180087 | + | 0.194087i | ||||
\(244\) | 1.65704 | + | 2.60882i | 0.106081 | + | 0.167013i | ||||
\(245\) | 3.38057 | + | 2.04875i | 0.215977 | + | 0.130890i | ||||
\(246\) | 1.57043 | − | 0.456586i | 0.100127 | − | 0.0291109i | ||||
\(247\) | 20.6412 | − | 19.1522i | 1.31337 | − | 1.21863i | ||||
\(248\) | 15.8953 | + | 10.2418i | 1.00935 | + | 0.650358i | ||||
\(249\) | 0.124004 | − | 1.65472i | 0.00785843 | − | 0.104864i | ||||
\(250\) | 0.703055 | − | 7.69942i | 0.0444651 | − | 0.486954i | ||||
\(251\) | 10.8104 | + | 8.62100i | 0.682346 | + | 0.544153i | 0.902167 | − | 0.431388i | \(-0.141976\pi\) |
−0.219821 | + | 0.975540i | \(0.570547\pi\) | |||||||
\(252\) | −10.2036 | − | 11.9955i | −0.642767 | − | 0.755646i | ||||
\(253\) | 10.9719 | − | 8.74981i | 0.689799 | − | 0.550096i | ||||
\(254\) | 7.06054 | + | 10.7266i | 0.443018 | + | 0.673045i | ||||
\(255\) | −0.158148 | − | 0.402955i | −0.00990362 | − | 0.0252340i | ||||
\(256\) | −6.13500 | − | 14.7771i | −0.383438 | − | 0.923567i | ||||
\(257\) | −0.136868 | − | 1.82637i | −0.00853757 | − | 0.113926i | 0.991307 | − | 0.131571i | \(-0.0420021\pi\) |
−0.999844 | + | 0.0176451i | \(0.994383\pi\) | |||||||
\(258\) | −0.451158 | + | 0.250785i | −0.0280879 | + | 0.0156132i | ||||
\(259\) | 14.0775 | + | 0.149562i | 0.874736 | + | 0.00929333i | ||||
\(260\) | 2.53226 | + | 7.12508i | 0.157044 | + | 0.441879i | ||||
\(261\) | 2.71498 | − | 18.0127i | 0.168053 | − | 1.11496i | ||||
\(262\) | −8.17425 | + | 9.91507i | −0.505007 | + | 0.612555i | ||||
\(263\) | 8.96816 | − | 15.5333i | 0.553000 | − | 0.957824i | −0.445056 | − | 0.895503i | \(-0.646816\pi\) |
0.998056 | − | 0.0623217i | \(-0.0198505\pi\) | |||||||
\(264\) | 0.527063 | − | 2.62188i | 0.0324385 | − | 0.161366i | ||||
\(265\) | 1.49339 | + | 0.719178i | 0.0917381 | + | 0.0441788i | ||||
\(266\) | −15.6548 | − | 1.59735i | −0.959855 | − | 0.0979397i | ||||
\(267\) | 0.683092 | + | 1.41846i | 0.0418046 | + | 0.0868081i | ||||
\(268\) | −0.0449103 | + | 1.38049i | −0.00274334 | + | 0.0843267i | ||||
\(269\) | −12.0461 | + | 12.9826i | −0.734462 | + | 0.791562i | −0.984258 | − | 0.176736i | \(-0.943446\pi\) |
0.249796 | + | 0.968298i | \(0.419636\pi\) | |||||||
\(270\) | −0.330689 | + | 0.659050i | −0.0201251 | + | 0.0401085i | ||||
\(271\) | 6.00056 | + | 4.09111i | 0.364508 | + | 0.248517i | 0.731699 | − | 0.681628i | \(-0.238728\pi\) |
−0.367190 | + | 0.930146i | \(0.619680\pi\) | |||||||
\(272\) | −0.193663 | − | 19.8454i | −0.0117425 | − | 1.20330i | ||||
\(273\) | −0.778855 | − | 2.62363i | −0.0471385 | − | 0.158789i | ||||
\(274\) | −4.27790 | + | 25.5553i | −0.258437 | + | 1.54385i | ||||
\(275\) | 24.8099 | − | 14.3240i | 1.49609 | − | 0.863770i | ||||
\(276\) | 0.707930 | − | 0.0299484i | 0.0426124 | − | 0.00180268i | ||||
\(277\) | 9.44232 | + | 13.8493i | 0.567334 | + | 0.832126i | 0.997503 | − | 0.0706220i | \(-0.0224984\pi\) |
−0.430169 | + | 0.902748i | \(0.641546\pi\) | |||||||
\(278\) | 7.71073 | − | 1.03428i | 0.462459 | − | 0.0620320i | ||||
\(279\) | 4.42741 | − | 19.3978i | 0.265062 | − | 1.16131i | ||||
\(280\) | 2.05634 | − | 3.69179i | 0.122890 | − | 0.220627i | ||||
\(281\) | 2.54554 | + | 11.1528i | 0.151854 | + | 0.665318i | 0.992346 | + | 0.123492i | \(0.0394095\pi\) |
−0.840491 | + | 0.541825i | \(0.817733\pi\) | |||||||
\(282\) | 0.307574 | + | 0.822780i | 0.0183158 | + | 0.0489958i | ||||
\(283\) | 8.05290 | − | 26.1069i | 0.478695 | − | 1.55189i | −0.318351 | − | 0.947973i | \(-0.603129\pi\) |
0.797046 | − | 0.603919i | \(-0.206395\pi\) | |||||||
\(284\) | −4.64192 | − | 3.39103i | −0.275447 | − | 0.201221i | ||||
\(285\) | 0.108153 | + | 0.350623i | 0.00640643 | + | 0.0207691i | ||||
\(286\) | −33.4167 | + | 47.3407i | −1.97597 | + | 2.79932i | ||||
\(287\) | 10.9814 | + | 16.4803i | 0.648214 | + | 0.972801i | ||||
\(288\) | −12.4155 | + | 11.3706i | −0.731591 | + | 0.670018i | ||||
\(289\) | 2.78291 | − | 7.09075i | 0.163701 | − | 0.417103i | ||||
\(290\) | 4.78261 | − | 1.01008i | 0.280845 | − | 0.0593138i | ||||
\(291\) | −0.195971 | − | 1.30018i | −0.0114880 | − | 0.0762181i | ||||
\(292\) | −4.09079 | + | 15.5705i | −0.239395 | + | 0.911195i | ||||
\(293\) | 7.45954i | 0.435791i | 0.975972 | + | 0.217896i | \(0.0699192\pi\) | ||||
−0.975972 | + | 0.217896i | \(0.930081\pi\) | |||||||
\(294\) | −0.813861 | + | 1.29494i | −0.0474653 | + | 0.0755225i | ||||
\(295\) | −0.442364 | −0.0257554 | ||||||||
\(296\) | −0.391546 | − | 15.0453i | −0.0227582 | − | 0.874489i | ||||
\(297\) | −5.58744 | + | 0.842171i | −0.324216 | + | 0.0488677i | ||||
\(298\) | −2.15058 | − | 10.1828i | −0.124580 | − | 0.589873i | ||||
\(299\) | −14.2917 | − | 5.60906i | −0.826508 | − | 0.324380i | ||||
\(300\) | 1.43813 | + | 0.154936i | 0.0830304 | + | 0.00894524i | ||||
\(301\) | −4.53643 | − | 4.29977i | −0.261475 | − | 0.247835i | ||||
\(302\) | −4.00101 | + | 5.66815i | −0.230232 | + | 0.326165i | ||||
\(303\) | 1.10635 | − | 0.341264i | 0.0635582 | − | 0.0196051i | ||||
\(304\) | −1.09339 | + | 16.7870i | −0.0627104 | + | 0.962799i | ||||
\(305\) | 0.833864 | + | 0.257213i | 0.0477469 | + | 0.0147280i | ||||
\(306\) | −19.5607 | + | 7.31223i | −1.11821 | + | 0.418013i | ||||
\(307\) | −28.2266 | + | 6.44253i | −1.61097 | + | 0.367694i | −0.930850 | − | 0.365402i | \(-0.880932\pi\) |
−0.680125 | + | 0.733096i | \(0.738074\pi\) | |||||||
\(308\) | 32.2003 | − | 3.44089i | 1.83478 | − | 0.196063i | ||||
\(309\) | 2.14027 | + | 0.488503i | 0.121756 | + | 0.0277900i | ||||
\(310\) | 5.29165 | − | 0.709796i | 0.300545 | − | 0.0403137i | ||||
\(311\) | 6.46163 | − | 4.40546i | 0.366405 | − | 0.249811i | −0.366095 | − | 0.930577i | \(-0.619306\pi\) |
0.732500 | + | 0.680767i | \(0.238353\pi\) | |||||||
\(312\) | −2.77239 | + | 0.934823i | −0.156956 | + | 0.0529239i | ||||
\(313\) | −3.87343 | − | 6.70897i | −0.218939 | − | 0.379213i | 0.735545 | − | 0.677476i | \(-0.236926\pi\) |
−0.954484 | + | 0.298263i | \(0.903593\pi\) | |||||||
\(314\) | −12.2987 | − | 2.05877i | −0.694055 | − | 0.116183i | ||||
\(315\) | −4.38958 | − | 0.709395i | −0.247325 | − | 0.0399699i | ||||
\(316\) | 11.4333 | − | 18.3947i | 0.643176 | − | 1.03478i | ||||
\(317\) | 6.09957 | − | 8.94642i | 0.342586 | − | 0.502481i | −0.615821 | − | 0.787886i | \(-0.711176\pi\) |
0.958407 | + | 0.285405i | \(0.0921280\pi\) | |||||||
\(318\) | −0.287621 | + | 0.573218i | −0.0161290 | + | 0.0321445i | ||||
\(319\) | 27.4591 | + | 25.4783i | 1.53741 | + | 1.42651i | ||||
\(320\) | −4.02458 | − | 2.05226i | −0.224981 | − | 0.114725i | ||||
\(321\) | −1.25499 | + | 0.604371i | −0.0700466 | + | 0.0337327i | ||||
\(322\) | 2.91880 | + | 8.06828i | 0.162658 | + | 0.449628i | ||||
\(323\) | −9.05368 | + | 18.8002i | −0.503760 | + | 1.04607i | ||||
\(324\) | 15.5751 | + | 8.13471i | 0.865283 | + | 0.451928i | ||||
\(325\) | −27.1424 | − | 15.6706i | −1.50559 | − | 0.869251i | ||||
\(326\) | −1.58536 | + | 1.92299i | −0.0878051 | + | 0.106504i | ||||
\(327\) | −1.76132 | − | 0.265476i | −0.0974010 | − | 0.0146808i | ||||
\(328\) | 17.1763 | − | 12.3772i | 0.948401 | − | 0.683416i | ||||
\(329\) | −8.38589 | + | 6.54300i | −0.462329 | + | 0.360727i | ||||
\(330\) | −0.366869 | − | 0.659991i | −0.0201955 | − | 0.0363313i | ||||
\(331\) | 17.2550 | − | 1.29308i | 0.948420 | − | 0.0710742i | 0.408470 | − | 0.912772i | \(-0.366062\pi\) |
0.539950 | + | 0.841697i | \(0.318443\pi\) | |||||||
\(332\) | −5.66074 | − | 20.7212i | −0.310674 | − | 1.13723i | ||||
\(333\) | −14.7416 | + | 5.78566i | −0.807835 | + | 0.317052i | ||||
\(334\) | −11.8914 | − | 18.0657i | −0.650667 | − | 0.988513i | ||||
\(335\) | 0.243154 | + | 0.304906i | 0.0132849 | + | 0.0166588i | ||||
\(336\) | 1.41530 | + | 0.818755i | 0.0772107 | + | 0.0446668i | ||||
\(337\) | 15.1848 | − | 19.0412i | 0.827170 | − | 1.03724i | −0.171474 | − | 0.985189i | \(-0.554853\pi\) |
0.998644 | − | 0.0520498i | \(-0.0165755\pi\) | |||||||
\(338\) | 44.8232 | + | 4.09293i | 2.43806 | + | 0.222626i | ||||
\(339\) | −2.08594 | − | 0.156319i | −0.113293 | − | 0.00849011i | ||||
\(340\) | −3.67587 | − | 4.22952i | −0.199352 | − | 0.229378i | ||||
\(341\) | 27.8287 | + | 29.9922i | 1.50701 | + | 1.62417i | ||||
\(342\) | 16.9972 | − | 4.94175i | 0.919104 | − | 0.267219i | ||||
\(343\) | −17.9154 | − | 4.69442i | −0.967342 | − | 0.253475i | ||||
\(344\) | −4.41590 | + | 5.01478i | −0.238089 | + | 0.270379i | ||||
\(345\) | 0.146657 | − | 0.136078i | 0.00789577 | − | 0.00732620i | ||||
\(346\) | −20.4789 | + | 9.45503i | −1.10095 | + | 0.508306i | ||||
\(347\) | 6.67742 | + | 0.500404i | 0.358463 | + | 0.0268631i | 0.252745 | − | 0.967533i | \(-0.418667\pi\) |
0.105718 | + | 0.994396i | \(0.466286\pi\) | |||||||
\(348\) | 0.360677 | + | 1.85659i | 0.0193343 | + | 0.0995236i | ||||
\(349\) | −3.69402 | − | 2.94588i | −0.197736 | − | 0.157689i | 0.519616 | − | 0.854400i | \(-0.326075\pi\) |
−0.717353 | + | 0.696710i | \(0.754646\pi\) | |||||||
\(350\) | 3.43705 | + | 17.1746i | 0.183718 | + | 0.918019i | ||||
\(351\) | 3.85427 | + | 4.83310i | 0.205726 | + | 0.257972i | ||||
\(352\) | −4.93708 | − | 34.2657i | −0.263147 | − | 1.82637i | ||||
\(353\) | −2.90304 | − | 7.39682i | −0.154513 | − | 0.393693i | 0.832566 | − | 0.553926i | \(-0.186871\pi\) |
−0.987079 | + | 0.160233i | \(0.948776\pi\) | |||||||
\(354\) | 0.00278298 | − | 0.171136i | 0.000147914 | − | 0.00909577i | ||||
\(355\) | −1.61859 | + | 0.121297i | −0.0859060 | + | 0.00643776i | ||||
\(356\) | 14.4812 | + | 14.3406i | 0.767503 | + | 0.760050i | ||||
\(357\) | 1.24760 | + | 1.59899i | 0.0660298 | + | 0.0846277i | ||||
\(358\) | −1.09492 | − | 18.6826i | −0.0578682 | − | 0.987404i | ||||
\(359\) | −32.5692 | − | 4.90902i | −1.71894 | − | 0.259088i | −0.785768 | − | 0.618522i | \(-0.787732\pi\) |
−0.933171 | + | 0.359434i | \(0.882970\pi\) | |||||||
\(360\) | −0.585954 | + | 4.71729i | −0.0308825 | + | 0.248623i | ||||
\(361\) | −0.656315 | + | 1.13677i | −0.0345429 | + | 0.0598301i | ||||
\(362\) | 16.4613 | + | 15.7797i | 0.865188 | + | 0.829360i | ||||
\(363\) | 1.77329 | − | 3.68228i | 0.0930737 | − | 0.193269i | ||||
\(364\) | −20.8738 | − | 28.6257i | −1.09408 | − | 1.50039i | ||||
\(365\) | 1.97225 | + | 4.09541i | 0.103232 | + | 0.214364i | ||||
\(366\) | −0.104753 | + | 0.320976i | −0.00547554 | + | 0.0167777i | ||||
\(367\) | −25.4935 | − | 23.6546i | −1.33075 | − | 1.23476i | −0.950820 | − | 0.309743i | \(-0.899757\pi\) |
−0.379932 | − | 0.925014i | \(-0.624053\pi\) | |||||||
\(368\) | 8.50525 | − | 3.43422i | 0.443367 | − | 0.179021i | ||||
\(369\) | −18.4059 | − | 12.5489i | −0.958174 | − | 0.653272i | ||||
\(370\) | −2.83936 | − | 3.16169i | −0.147611 | − | 0.164368i | ||||
\(371\) | −7.66642 | − | 1.23896i | −0.398021 | − | 0.0643236i | ||||
\(372\) | 0.241306 | + | 2.05163i | 0.0125111 | + | 0.106372i | ||||
\(373\) | −23.5536 | + | 13.5987i | −1.21956 | + | 0.704113i | −0.964824 | − | 0.262898i | \(-0.915322\pi\) |
−0.254735 | + | 0.967011i | \(0.581988\pi\) | |||||||
\(374\) | 10.2349 | − | 41.7043i | 0.529235 | − | 2.15648i | ||||
\(375\) | 0.697873 | − | 0.475802i | 0.0360380 | − | 0.0245703i | ||||
\(376\) | 7.31848 | + | 8.70263i | 0.377422 | + | 0.448804i | ||||
\(377\) | 9.11894 | − | 39.9527i | 0.469649 | − | 2.05767i | ||||
\(378\) | 0.606536 | − | 3.40103i | 0.0311969 | − | 0.174930i | ||||
\(379\) | 23.6101 | − | 5.38885i | 1.21277 | − | 0.276807i | 0.432143 | − | 0.901805i | \(-0.357758\pi\) |
0.780626 | + | 0.624999i | \(0.214901\pi\) | |||||||
\(380\) | 2.83919 | + | 3.80793i | 0.145647 | + | 0.195343i | ||||
\(381\) | −0.413519 | + | 1.34060i | −0.0211852 | + | 0.0686808i | ||||
\(382\) | −13.1336 | + | 10.1288i | −0.671974 | + | 0.518233i | ||||
\(383\) | 0.403219 | − | 0.124377i | 0.0206035 | − | 0.00635534i | −0.284436 | − | 0.958695i | \(-0.591806\pi\) |
0.305040 | + | 0.952340i | \(0.401330\pi\) | |||||||
\(384\) | 0.819271 | − | 1.54406i | 0.0418082 | − | 0.0787952i | ||||
\(385\) | 6.29006 | − | 6.63626i | 0.320571 | − | 0.338215i | ||||
\(386\) | −13.8739 | − | 5.70714i | −0.706163 | − | 0.290486i | ||||
\(387\) | 6.54485 | + | 2.56867i | 0.332694 | + | 0.130573i | ||||
\(388\) | −8.02676 | − | 15.0096i | −0.407497 | − | 0.761999i | ||||
\(389\) | −2.23524 | − | 14.8299i | −0.113331 | − | 0.751904i | −0.971240 | − | 0.238102i | \(-0.923475\pi\) |
0.857909 | − | 0.513802i | \(-0.171763\pi\) | |||||||
\(390\) | −0.424624 | + | 0.708606i | −0.0215017 | + | 0.0358817i | ||||
\(391\) | 11.3774 | 0.575381 | ||||||||
\(392\) | −4.31354 | + | 19.3234i | −0.217867 | + | 0.975978i | ||||
\(393\) | −1.40384 | −0.0708146 | ||||||||
\(394\) | −3.03549 | + | 5.06557i | −0.152926 | + | 0.255200i | ||||
\(395\) | −0.911436 | − | 6.04699i | −0.0458593 | − | 0.304257i | ||||
\(396\) | −32.1226 | + | 17.1783i | −1.61422 | + | 0.863242i | ||||
\(397\) | 1.02388 | + | 0.401842i | 0.0513869 | + | 0.0201679i | 0.390895 | − | 0.920435i | \(-0.372165\pi\) |
−0.339508 | + | 0.940603i | \(0.610261\pi\) | |||||||
\(398\) | −17.2533 | − | 7.09727i | −0.864828 | − | 0.355754i | ||||
\(399\) | −0.953269 | − | 1.43061i | −0.0477231 | − | 0.0716200i | ||||
\(400\) | 18.2135 | − | 4.34452i | 0.910673 | − | 0.217226i | ||||
\(401\) | 23.4532 | − | 7.23436i | 1.17120 | − | 0.361267i | 0.352678 | − | 0.935745i | \(-0.385271\pi\) |
0.818520 | + | 0.574478i | \(0.194795\pi\) | |||||||
\(402\) | −0.119488 | + | 0.0921502i | −0.00595951 | + | 0.00459603i | ||||
\(403\) | 13.1934 | − | 42.7719i | 0.657210 | − | 2.13062i | ||||
\(404\) | 12.0155 | − | 8.95871i | 0.597793 | − | 0.445713i | ||||
\(405\) | 4.83695 | − | 1.10400i | 0.240350 | − | 0.0548583i | ||||
\(406\) | −20.1342 | + | 10.9136i | −0.999242 | + | 0.541633i | ||||
\(407\) | 7.24634 | − | 31.7483i | 0.359188 | − | 1.57370i | ||||
\(408\) | 1.65939 | − | 1.39546i | 0.0821519 | − | 0.0690858i | ||||
\(409\) | −28.8048 | + | 19.6388i | −1.42430 | + | 0.971075i | −0.426525 | + | 0.904476i | \(0.640262\pi\) |
−0.997780 | + | 0.0665990i | \(0.978785\pi\) | |||||||
\(410\) | 1.42475 | − | 5.80545i | 0.0703635 | − | 0.286711i | ||||
\(411\) | −2.45145 | + | 1.41534i | −0.120921 | + | 0.0698137i | ||||
\(412\) | 28.2240 | − | 3.31962i | 1.39050 | − | 0.163546i | ||||
\(413\) | 1.98686 | − | 0.589825i | 0.0977672 | − | 0.0290234i | ||||
\(414\) | −6.44872 | − | 7.18078i | −0.316937 | − | 0.352916i | ||||
\(415\) | −5.01120 | − | 3.41658i | −0.245990 | − | 0.167713i | ||||
\(416\) | −29.7641 | + | 23.4211i | −1.45931 | + | 1.14832i | ||||
\(417\) | 0.623035 | + | 0.578092i | 0.0305101 | + | 0.0283093i | ||||
\(418\) | −11.2930 | + | 34.6031i | −0.552358 | + | 1.69249i | ||||
\(419\) | −16.4937 | − | 34.2495i | −0.805770 | − | 1.67320i | −0.737319 | − | 0.675545i | \(-0.763908\pi\) |
−0.0684517 | − | 0.997654i | \(-0.521806\pi\) | |||||||
\(420\) | 0.454100 | − | 0.0832212i | 0.0221578 | − | 0.00406078i | ||||
\(421\) | −4.83847 | + | 10.0472i | −0.235813 | + | 0.489670i | −0.984971 | − | 0.172721i | \(-0.944744\pi\) |
0.749158 | + | 0.662391i | \(0.230458\pi\) | |||||||
\(422\) | 7.82870 | + | 7.50452i | 0.381095 | + | 0.365314i | ||||
\(423\) | 5.98232 | − | 10.3617i | 0.290870 | − | 0.503802i | ||||
\(424\) | −1.02337 | + | 8.23877i | −0.0496993 | + | 0.400110i | ||||
\(425\) | 22.9663 | + | 3.46161i | 1.11403 | + | 0.167913i | ||||
\(426\) | −0.0367429 | − | 0.626943i | −0.00178020 | − | 0.0303755i | ||||
\(427\) | −4.08823 | − | 0.0434340i | −0.197843 | − | 0.00210192i | ||||
\(428\) | −12.6879 | + | 12.8124i | −0.613294 | + | 0.619308i | ||||
\(429\) | −6.31281 | + | 0.473080i | −0.304785 | + | 0.0228405i | ||||
\(430\) | −0.0306764 | + | 1.88641i | −0.00147935 | + | 0.0909707i | ||||
\(431\) | 3.28662 | + | 8.37416i | 0.158311 | + | 0.403369i | 0.987918 | − | 0.154978i | \(-0.0495308\pi\) |
−0.829607 | + | 0.558348i | \(0.811436\pi\) | |||||||
\(432\) | −3.65716 | − | 0.514783i | −0.175955 | − | 0.0247675i | ||||
\(433\) | −15.6760 | − | 19.6570i | −0.753338 | − | 0.944656i | 0.246361 | − | 0.969178i | \(-0.420765\pi\) |
−0.999699 | + | 0.0245219i | \(0.992194\pi\) | |||||||
\(434\) | −22.8209 | + | 10.2436i | −1.09544 | + | 0.491710i | ||||
\(435\) | 0.417507 | + | 0.332951i | 0.0200179 | + | 0.0159638i | ||||
\(436\) | −22.6348 | + | 4.39723i | −1.08401 | + | 0.210589i | ||||
\(437\) | −9.61699 | − | 0.720694i | −0.460043 | − | 0.0344755i | ||||
\(438\) | −1.59679 | + | 0.737231i | −0.0762974 | + | 0.0352263i | ||||
\(439\) | 13.3960 | − | 12.4296i | 0.639355 | − | 0.593235i | −0.292412 | − | 0.956293i | \(-0.594458\pi\) |
0.931767 | + | 0.363058i | \(0.118267\pi\) | |||||||
\(440\) | −7.33604 | − | 6.45994i | −0.349732 | − | 0.307966i | ||||
\(441\) | 20.6615 | − | 2.66661i | 0.983883 | − | 0.126982i | ||||
\(442\) | −45.1110 | + | 13.1155i | −2.14571 | + | 0.623842i | ||||
\(443\) | 20.2089 | + | 21.7800i | 0.960154 | + | 1.03480i | 0.999367 | + | 0.0355690i | \(0.0113244\pi\) |
−0.0392133 | + | 0.999231i | \(0.512485\pi\) | |||||||
\(444\) | 1.24102 | − | 1.07856i | 0.0588960 | − | 0.0511864i | ||||
\(445\) | 5.73834 | + | 0.430029i | 0.272023 | + | 0.0203853i | ||||
\(446\) | −23.4979 | − | 2.14565i | −1.11266 | − | 0.101600i | ||||
\(447\) | 0.708895 | − | 0.888926i | 0.0335296 | − | 0.0420448i | ||||
\(448\) | 20.8126 | + | 3.85150i | 0.983305 | + | 0.181966i | ||||
\(449\) | 0.0908312 | + | 0.113899i | 0.00428659 | + | 0.00537521i | 0.783970 | − | 0.620799i | \(-0.213191\pi\) |
−0.779684 | + | 0.626174i | \(0.784620\pi\) | |||||||
\(450\) | −10.8325 | − | 16.4571i | −0.510650 | − | 0.775794i | ||||
\(451\) | 42.6419 | − | 16.7357i | 2.00793 | − | 0.788054i | ||||
\(452\) | −26.1212 | + | 7.13594i | −1.22864 | + | 0.335646i | ||||
\(453\) | −0.755838 | + | 0.0566422i | −0.0355124 | + | 0.00266128i | ||||
\(454\) | 4.21550 | + | 7.58362i | 0.197843 | + | 0.355917i | ||||
\(455\) | −9.72818 | − | 2.32940i | −0.456064 | − | 0.109204i | ||||
\(456\) | −1.49102 | + | 1.07443i | −0.0698236 | + | 0.0503148i | ||||
\(457\) | −8.22110 | − | 1.23913i | −0.384567 | − | 0.0579641i | −0.0460862 | − | 0.998937i | \(-0.514675\pi\) |
−0.338481 | + | 0.940973i | \(0.609913\pi\) | |||||||
\(458\) | −8.13024 | + | 9.86169i | −0.379901 | + | 0.460807i | ||||
\(459\) | −3.96731 | − | 2.29052i | −0.185178 | − | 0.106913i | ||||
\(460\) | 1.19897 | − | 2.29560i | 0.0559022 | − | 0.107033i | ||||
\(461\) | 12.6215 | − | 26.2089i | 0.587844 | − | 1.22067i | −0.368827 | − | 0.929498i | \(-0.620241\pi\) |
0.956671 | − | 0.291172i | \(-0.0940452\pi\) | |||||||
\(462\) | 2.52778 | + | 2.47517i | 0.117603 | + | 0.115155i | ||||
\(463\) | −8.60546 | + | 4.14417i | −0.399930 | + | 0.192596i | −0.623027 | − | 0.782200i | \(-0.714097\pi\) |
0.223098 | + | 0.974796i | \(0.428383\pi\) | |||||||
\(464\) | 12.4478 | + | 21.0825i | 0.577876 | + | 0.978729i | ||||
\(465\) | 0.427570 | + | 0.396727i | 0.0198281 | + | 0.0183978i | ||||
\(466\) | 1.49182 | − | 2.97315i | 0.0691074 | − | 0.137728i | ||||
\(467\) | 13.5986 | − | 19.9455i | 0.629267 | − | 0.922966i | −0.370716 | − | 0.928746i | \(-0.620888\pi\) |
0.999983 | + | 0.00578075i | \(0.00184008\pi\) | |||||||
\(468\) | 33.8467 | + | 21.0376i | 1.56456 | + | 0.972465i | ||||
\(469\) | −1.49867 | − | 1.04527i | −0.0692020 | − | 0.0482659i | ||||
\(470\) | 3.16652 | + | 0.530069i | 0.146061 | + | 0.0244502i | ||||
\(471\) | −0.681145 | − | 1.17978i | −0.0313855 | − | 0.0543613i | ||||
\(472\) | −0.707939 | − | 2.09952i | −0.0325855 | − | 0.0966383i | ||||
\(473\) | −11.9456 | + | 8.14438i | −0.549260 | + | 0.374479i | ||||
\(474\) | 2.34511 | − | 0.314562i | 0.107715 | − | 0.0144483i | ||||
\(475\) | −19.1934 | − | 4.38078i | −0.880656 | − | 0.201004i | ||||
\(476\) | 22.1495 | + | 14.0956i | 1.01522 | + | 0.646069i | ||||
\(477\) | 8.51661 | − | 1.94386i | 0.389949 | − | 0.0890032i | ||||
\(478\) | 0.572376 | − | 0.213968i | 0.0261799 | − | 0.00978665i | ||||
\(479\) | 31.5205 | + | 9.72279i | 1.44021 | + | 0.444246i | 0.913862 | − | 0.406025i | \(-0.133085\pi\) |
0.526346 | + | 0.850270i | \(0.323561\pi\) | |||||||
\(480\) | −0.106692 | − | 0.481868i | −0.00486978 | − | 0.0219942i | ||||
\(481\) | −34.0435 | + | 10.5010i | −1.55225 | + | 0.478806i | ||||
\(482\) | 10.6350 | − | 15.0663i | 0.484409 | − | 0.686252i | ||||
\(483\) | −0.477268 | + | 0.806736i | −0.0217164 | + | 0.0367078i | ||||
\(484\) | 5.66710 | − | 52.6025i | 0.257596 | − | 2.39102i | ||||
\(485\) | −4.47373 | − | 1.75581i | −0.203141 | − | 0.0797272i | ||||
\(486\) | 1.20613 | + | 5.71090i | 0.0547112 | + | 0.259052i | ||||
\(487\) | 2.55149 | − | 0.384576i | 0.115619 | − | 0.0174268i | −0.0909777 | − | 0.995853i | \(-0.528999\pi\) |
0.206597 | + | 0.978426i | \(0.433761\pi\) | |||||||
\(488\) | 0.113708 | + | 4.36927i | 0.00514733 | + | 0.197787i | ||||
\(489\) | −0.272270 | −0.0123125 | ||||||||
\(490\) | 2.61163 | + | 4.94274i | 0.117981 | + | 0.223290i | ||||
\(491\) | 13.2843i | 0.599513i | 0.954016 | + | 0.299756i | \(0.0969054\pi\) | ||||
−0.954016 | + | 0.299756i | \(0.903095\pi\) | |||||||
\(492\) | 2.23697 | + | 0.587712i | 0.100851 | + | 0.0264961i | ||||
\(493\) | 4.52621 | + | 30.0295i | 0.203850 | + | 1.35246i | ||||
\(494\) | 38.9618 | − | 8.22864i | 1.75297 | − | 0.370224i | ||||
\(495\) | −3.75766 | + | 9.57435i | −0.168894 | + | 0.430335i | ||||
\(496\) | 11.8373 | + | 23.9790i | 0.531510 | + | 1.07669i | ||||
\(497\) | 7.10813 | − | 2.70295i | 0.318843 | − | 0.121244i | ||||
\(498\) | 1.35329 | − | 1.91717i | 0.0606423 | − | 0.0859106i | ||||
\(499\) | −0.372458 | − | 1.20748i | −0.0166735 | − | 0.0540541i | 0.946854 | − | 0.321664i | \(-0.104242\pi\) |
−0.963527 | + | 0.267610i | \(0.913766\pi\) | |||||||
\(500\) | 6.44978 | − | 8.82898i | 0.288443 | − | 0.394844i | ||||
\(501\) | 0.696450 | − | 2.25784i | 0.0311151 | − | 0.100873i | ||||
\(502\) | 6.84709 | + | 18.3164i | 0.305601 | + | 0.817500i | ||||
\(503\) | 2.88688 | + | 12.6482i | 0.128720 | + | 0.563957i | 0.997619 | + | 0.0689684i | \(0.0219708\pi\) |
−0.868899 | + | 0.494989i | \(0.835172\pi\) | |||||||
\(504\) | −3.65800 | − | 21.9689i | −0.162940 | − | 0.978571i | ||||
\(505\) | 0.941664 | − | 4.12570i | 0.0419035 | − | 0.183591i | ||||
\(506\) | 19.6704 | − | 2.63849i | 0.874454 | − | 0.117295i | ||||
\(507\) | 2.76994 | + | 4.06276i | 0.123017 | + | 0.180433i | ||||
\(508\) | 0.767600 | + | 18.1448i | 0.0340568 | + | 0.805043i | ||||
\(509\) | −0.482305 | + | 0.278459i | −0.0213778 | + | 0.0123425i | −0.510651 | − | 0.859788i | \(-0.670595\pi\) |
0.489273 | + | 0.872131i | \(0.337262\pi\) | |||||||
\(510\) | 0.101072 | − | 0.603781i | 0.00447553 | − | 0.0267359i | ||||
\(511\) | −14.3189 | − | 15.7647i | −0.633430 | − | 0.697390i | ||||
\(512\) | 3.29957 | − | 22.3856i | 0.145822 | − | 0.989311i | ||||
\(513\) | 3.20835 | + | 2.18742i | 0.141652 | + | 0.0965768i | ||||
\(514\) | 1.16161 | − | 2.31504i | 0.0512363 | − | 0.102112i | ||||
\(515\) | 5.45773 | − | 5.88203i | 0.240496 | − | 0.259193i | ||||
\(516\) | −0.729596 | − | 0.0237354i | −0.0321187 | − | 0.00104489i | ||||
\(517\) | 10.6750 | + | 22.1668i | 0.469485 | + | 0.974895i | ||||
\(518\) | 16.9685 | + | 10.4148i | 0.745555 | + | 0.457599i | ||||
\(519\) | −2.22016 | − | 1.06917i | −0.0974544 | − | 0.0469316i | ||||
\(520\) | −2.10757 | + | 10.4841i | −0.0924229 | + | 0.459758i | ||||
\(521\) | −4.23263 | + | 7.33112i | −0.185435 | + | 0.321182i | −0.943723 | − | 0.330737i | \(-0.892703\pi\) |
0.758288 | + | 0.651919i | \(0.226036\pi\) | |||||||
\(522\) | 16.3874 | − | 19.8774i | 0.717259 | − | 0.870009i | ||||
\(523\) | −0.783208 | + | 5.19624i | −0.0342473 | + | 0.227216i | −0.999407 | − | 0.0344474i | \(-0.989033\pi\) |
0.965159 | + | 0.261663i | \(0.0842710\pi\) | |||||||
\(524\) | −17.1236 | + | 6.08575i | −0.748048 | + | 0.265857i | ||||
\(525\) | −1.20886 | + | 1.48326i | −0.0527589 | + | 0.0647346i | ||||
\(526\) | 22.1707 | − | 12.3240i | 0.966689 | − | 0.537353i | ||||
\(527\) | 2.47881 | + | 33.0774i | 0.107979 | + | 1.44087i | ||||
\(528\) | 2.54529 | − | 2.79743i | 0.110770 | − | 0.121743i | ||||
\(529\) | −6.48176 | − | 16.5153i | −0.281816 | − | 0.718055i | ||||
\(530\) | 1.28882 | + | 1.95801i | 0.0559827 | + | 0.0850505i | ||||
\(531\) | −1.82274 | + | 1.45358i | −0.0791001 | + | 0.0630802i | ||||
\(532\) | −17.8294 | − | 13.3176i | −0.773003 | − | 0.577391i | ||||
\(533\) | −39.1815 | − | 31.2462i | −1.69714 | − | 1.35342i | ||||
\(534\) | −0.202465 | + | 2.21727i | −0.00876150 | + | 0.0959505i | ||||
\(535\) | −0.380471 | + | 5.07703i | −0.0164492 | + | 0.219499i | ||||
\(536\) | −1.05799 | + | 1.64200i | −0.0456984 | + | 0.0709237i | ||||
\(537\) | 1.49874 | − | 1.39062i | 0.0646753 | − | 0.0600099i | ||||
\(538\) | −24.0503 | + | 6.99236i | −1.03688 | + | 0.301462i | ||||
\(539\) | −19.4032 | + | 38.1934i | −0.835754 | + | 1.64511i | ||||
\(540\) | −0.880235 | + | 0.559098i | −0.0378793 | + | 0.0240597i | ||||
\(541\) | 12.4460 | + | 13.4136i | 0.535095 | + | 0.576696i | 0.941507 | − | 0.336995i | \(-0.109410\pi\) |
−0.406411 | + | 0.913690i | \(0.633220\pi\) | |||||||
\(542\) | 4.30525 | + | 9.32484i | 0.184926 | + | 0.400536i | ||||
\(543\) | −0.186164 | + | 2.48418i | −0.00798906 | + | 0.106607i | ||||
\(544\) | 14.1912 | − | 24.2149i | 0.608444 | − | 1.03821i | ||||
\(545\) | −4.05920 | + | 5.09008i | −0.173877 | + | 0.218035i | ||||
\(546\) | 0.962367 | − | 3.74885i | 0.0411855 | − | 0.160436i | ||||
\(547\) | −23.2370 | + | 18.5309i | −0.993544 | + | 0.792325i | −0.978223 | − | 0.207558i | \(-0.933448\pi\) |
−0.0153209 | + | 0.999883i | \(0.504877\pi\) | |||||||
\(548\) | −23.7663 | + | 27.8910i | −1.01525 | + | 1.19145i | ||||
\(549\) | 4.28108 | − | 1.68020i | 0.182712 | − | 0.0717092i | ||||
\(550\) | 40.5091 | + | 0.658751i | 1.72731 | + | 0.0280892i | ||||
\(551\) | −1.92368 | − | 25.6697i | −0.0819514 | − | 1.09357i | ||||
\(552\) | 0.880550 | + | 0.478283i | 0.0374787 | + | 0.0203571i | ||||
\(553\) | 12.1564 | + | 25.9446i | 0.516944 | + | 1.10328i | ||||
\(554\) | 1.38688 | + | 23.6643i | 0.0589229 | + | 1.00540i | ||||
\(555\) | 0.0691922 | − | 0.459060i | 0.00293705 | − | 0.0194860i | ||||
\(556\) | 10.1056 | + | 4.35047i | 0.428574 | + | 0.184501i | ||||
\(557\) | 30.6514 | + | 17.6966i | 1.29874 | + | 0.749829i | 0.980187 | − | 0.198076i | \(-0.0634692\pi\) |
0.318555 | + | 0.947904i | \(0.396802\pi\) | |||||||
\(558\) | 19.4716 | − | 20.3127i | 0.824298 | − | 0.859907i | ||||
\(559\) | 14.2507 | + | 6.86276i | 0.602739 | + | 0.290264i | ||||
\(560\) | 5.17818 | − | 2.98365i | 0.218818 | − | 0.126082i | ||||
\(561\) | 4.22669 | − | 2.03547i | 0.178451 | − | 0.0859375i | ||||
\(562\) | −5.01928 | + | 15.3797i | −0.211726 | + | 0.648753i | ||||
\(563\) | −30.2736 | + | 32.6272i | −1.27588 | + | 1.37507i | −0.383661 | + | 0.923474i | \(0.625337\pi\) |
−0.892221 | + | 0.451599i | \(0.850854\pi\) | |||||||
\(564\) | −0.224987 | + | 1.22169i | −0.00947366 | + | 0.0514423i | ||||
\(565\) | −4.30694 | + | 6.31712i | −0.181194 | + | 0.265763i | ||||
\(566\) | 28.7466 | − | 25.8160i | 1.20831 | − | 1.08513i | ||||
\(567\) | −20.2530 | + | 11.4079i | −0.850546 | + | 0.479088i | ||||
\(568\) | −3.16601 | − | 7.48795i | −0.132843 | − | 0.314187i | ||||
\(569\) | −3.35924 | − | 5.81838i | −0.140827 | − | 0.243919i | 0.786981 | − | 0.616977i | \(-0.211643\pi\) |
−0.927808 | + | 0.373057i | \(0.878309\pi\) | |||||||
\(570\) | −0.123679 | + | 0.503956i | −0.00518034 | + | 0.0211084i | ||||
\(571\) | 8.24621 | + | 12.0950i | 0.345093 | + | 0.506159i | 0.959071 | − | 0.283164i | \(-0.0913841\pi\) |
−0.613978 | + | 0.789323i | \(0.710432\pi\) | |||||||
\(572\) | −74.9506 | + | 33.1369i | −3.13384 | + | 1.38552i | ||||
\(573\) | −1.76650 | − | 0.403193i | −0.0737968 | − | 0.0168436i | ||||
\(574\) | 1.34145 | + | 27.9747i | 0.0559912 | + | 1.16764i | ||||
\(575\) | 2.38860 | + | 10.4651i | 0.0996115 | + | 0.436426i | ||||
\(576\) | −23.3267 | + | 4.76832i | −0.971945 | + | 0.198680i | ||||
\(577\) | 1.85481 | + | 0.572132i | 0.0772166 | + | 0.0238182i | 0.333123 | − | 0.942883i | \(-0.391898\pi\) |
−0.255906 | + | 0.966702i | \(0.582374\pi\) | |||||||
\(578\) | 8.53037 | − | 6.57871i | 0.354817 | − | 0.273638i | ||||
\(579\) | −0.483078 | − | 1.56610i | −0.0200760 | − | 0.0650849i | ||||
\(580\) | 6.53597 | + | 2.25130i | 0.271391 | + | 0.0934802i | ||||
\(581\) | 27.0631 | + | 8.66379i | 1.12277 | + | 0.359434i | ||||
\(582\) | 0.707409 | − | 1.71969i | 0.0293230 | − | 0.0712835i | ||||
\(583\) | −6.56276 | + | 16.7216i | −0.271802 | + | 0.692539i | ||||
\(584\) | −16.2811 | + | 15.9147i | −0.673717 | + | 0.658553i | ||||
\(585\) | 11.1266 | − | 1.67707i | 0.460029 | − | 0.0693382i | ||||
\(586\) | −5.42254 | + | 9.04906i | −0.224003 | + | 0.373813i | ||||
\(587\) | 4.96279i | 0.204836i | 0.994741 | + | 0.102418i | \(0.0326579\pi\) | ||||
−0.994741 | + | 0.102418i | \(0.967342\pi\) | |||||||
\(588\) | −1.92861 | + | 0.979258i | −0.0795346 | + | 0.0403839i | ||||
\(589\) | − | 28.1163i | − | 1.15851i | ||||||
\(590\) | −0.536625 | − | 0.321566i | −0.0220925 | − | 0.0132387i | ||||
\(591\) | −0.637946 | + | 0.0961549i | −0.0262416 | + | 0.00395528i | ||||
\(592\) | 10.4618 | − | 18.5358i | 0.429979 | − | 0.761818i | ||||
\(593\) | −5.24114 | + | 13.3542i | −0.215228 | + | 0.548391i | −0.997188 | − | 0.0749366i | \(-0.976125\pi\) |
0.781961 | + | 0.623328i | \(0.214220\pi\) | |||||||
\(594\) | −7.39024 | − | 3.04003i | −0.303225 | − | 0.124734i | ||||
\(595\) | 7.34146 | − | 1.02691i | 0.300971 | − | 0.0420990i | ||||
\(596\) | 4.79331 | − | 13.9159i | 0.196342 | − | 0.570018i | ||||
\(597\) | −0.600744 | − | 1.94757i | −0.0245868 | − | 0.0797085i | ||||
\(598\) | −13.2596 | − | 17.1933i | −0.542226 | − | 0.703085i | ||||
\(599\) | 23.7933 | + | 7.33927i | 0.972168 | + | 0.299874i | 0.739855 | − | 0.672767i | \(-0.234894\pi\) |
0.232314 | + | 0.972641i | \(0.425370\pi\) | |||||||
\(600\) | 1.63195 | + | 1.23337i | 0.0666239 | + | 0.0503519i | ||||
\(601\) | 3.30801 | + | 14.4933i | 0.134937 | + | 0.591196i | 0.996503 | + | 0.0835516i | \(0.0266263\pi\) |
−0.861567 | + | 0.507644i | \(0.830517\pi\) | |||||||
\(602\) | −2.37745 | − | 8.51364i | −0.0968978 | − | 0.346990i | ||||
\(603\) | 2.00381 | + | 0.457356i | 0.0816014 | + | 0.0186250i | ||||
\(604\) | −8.97390 | + | 3.96750i | −0.365143 | + | 0.161435i | ||||
\(605\) | −8.41508 | − | 12.3427i | −0.342122 | − | 0.501800i | ||||
\(606\) | 1.59017 | + | 0.390254i | 0.0645963 | + | 0.0158530i | ||||
\(607\) | −3.39956 | − | 5.88821i | −0.137984 | − | 0.238995i | 0.788749 | − | 0.614715i | \(-0.210729\pi\) |
−0.926733 | + | 0.375720i | \(0.877396\pi\) | |||||||
\(608\) | −13.5293 | + | 19.5692i | −0.548685 | + | 0.793637i | ||||
\(609\) | −2.31916 | − | 0.938757i | −0.0939771 | − | 0.0380403i | ||||
\(610\) | 0.824573 | + | 0.918180i | 0.0333860 | + | 0.0371760i | ||||
\(611\) | 15.1625 | − | 22.2393i | 0.613409 | − | 0.899706i | ||||
\(612\) | −29.0442 | − | 5.34881i | −1.17404 | − | 0.216213i | ||||
\(613\) | −6.10109 | + | 6.57541i | −0.246421 | + | 0.265578i | −0.844135 | − | 0.536131i | \(-0.819885\pi\) |
0.597714 | + | 0.801709i | \(0.296076\pi\) | |||||||
\(614\) | −38.9245 | − | 12.7033i | −1.57086 | − | 0.512664i | ||||
\(615\) | 0.588377 | − | 0.283347i | 0.0237256 | − | 0.0114257i | ||||
\(616\) | 41.5629 | + | 19.2331i | 1.67462 | + | 0.774926i | ||||
\(617\) | −21.0621 | − | 10.1430i | −0.847928 | − | 0.408340i | −0.0411197 | − | 0.999154i | \(-0.513092\pi\) |
−0.806808 | + | 0.590814i | \(0.798807\pi\) | |||||||
\(618\) | 2.24123 | + | 2.14842i | 0.0901554 | + | 0.0864221i | ||||
\(619\) | 8.31967 | + | 4.80336i | 0.334396 | + | 0.193064i | 0.657791 | − | 0.753200i | \(-0.271491\pi\) |
−0.323395 | + | 0.946264i | \(0.604824\pi\) | |||||||
\(620\) | 6.93519 | + | 2.98560i | 0.278524 | + | 0.119905i | ||||
\(621\) | 0.315557 | − | 2.09358i | 0.0126629 | − | 0.0840126i | ||||
\(622\) | 11.0410 | − | 0.647071i | 0.442702 | − | 0.0259452i | ||||
\(623\) | −26.3469 | + | 5.71973i | −1.05557 | + | 0.229156i | ||||
\(624\) | −4.04269 | − | 0.881305i | −0.161837 | − | 0.0352804i | ||||
\(625\) | 1.51839 | + | 20.2615i | 0.0607356 | + | 0.810461i | ||||
\(626\) | 0.178136 | − | 10.9543i | 0.00711975 | − | 0.437820i | ||||
\(627\) | −3.70163 | + | 1.45278i | −0.147829 | + | 0.0580185i | ||||
\(628\) | −13.4228 | − | 11.4377i | −0.535627 | − | 0.456415i | ||||
\(629\) | 20.6412 | − | 16.4608i | 0.823020 | − | 0.656336i | ||||
\(630\) | −4.80926 | − | 4.05146i | −0.191606 | − | 0.161414i | ||||
\(631\) | 6.82364 | − | 8.55657i | 0.271645 | − | 0.340632i | −0.627233 | − | 0.778832i | \(-0.715812\pi\) |
0.898877 | + | 0.438200i | \(0.144384\pi\) | |||||||
\(632\) | 27.2412 | − | 14.0031i | 1.08360 | − | 0.557014i | ||||
\(633\) | −0.0885362 | + | 1.18143i | −0.00351900 | + | 0.0469577i | ||||
\(634\) | 13.9027 | − | 6.41883i | 0.552147 | − | 0.254925i | ||||
\(635\) | 3.48778 | + | 3.75893i | 0.138408 | + | 0.149169i | ||||
\(636\) | −0.765597 | + | 0.486283i | −0.0303579 | + | 0.0192824i | ||||
\(637\) | 46.7997 | − | 2.50863i | 1.85427 | − | 0.0993956i | ||||
\(638\) | 14.7893 | + | 50.8681i | 0.585515 | + | 2.01389i | ||||
\(639\) | −6.27075 | + | 5.81841i | −0.248067 | + | 0.230173i | ||||
\(640\) | −3.39031 | − | 5.41514i | −0.134014 | − | 0.214052i | ||||
\(641\) | 1.20591 | − | 16.0918i | 0.0476306 | − | 0.635586i | −0.921395 | − | 0.388627i | \(-0.872950\pi\) |
0.969026 | − | 0.246959i | \(-0.0794314\pi\) | |||||||
\(642\) | −1.96174 | − | 0.179132i | −0.0774238 | − | 0.00706978i | ||||
\(643\) | −3.01173 | − | 2.40177i | −0.118771 | − | 0.0947166i | 0.562303 | − | 0.826931i | \(-0.309915\pi\) |
−0.681074 | + | 0.732215i | \(0.738487\pi\) | |||||||
\(644\) | −2.32430 | + | 11.9093i | −0.0915901 | + | 0.469291i | ||||
\(645\) | −0.161145 | + | 0.128509i | −0.00634506 | + | 0.00506002i | ||||
\(646\) | −24.6492 | + | 16.2248i | −0.969811 | + | 0.638358i | ||||
\(647\) | −1.36933 | − | 3.48899i | −0.0538338 | − | 0.137166i | 0.901427 | − | 0.432931i | \(-0.142521\pi\) |
−0.955261 | + | 0.295765i | \(0.904425\pi\) | |||||||
\(648\) | 12.9806 | + | 21.1901i | 0.509925 | + | 0.832424i | ||||
\(649\) | −0.358262 | − | 4.78067i | −0.0140630 | − | 0.187658i | ||||
\(650\) | −21.5346 | − | 38.7404i | −0.844656 | − | 1.51952i | ||||
\(651\) | −2.44939 | − | 1.21179i | −0.0959993 | − | 0.0474937i | ||||
\(652\) | −3.32105 | + | 1.18031i | −0.130062 | + | 0.0462243i | ||||
\(653\) | 1.92978 | − | 12.8032i | 0.0755181 | − | 0.501030i | −0.918812 | − | 0.394695i | \(-0.870850\pi\) |
0.994330 | − | 0.106335i | \(-0.0339115\pi\) | |||||||
\(654\) | −1.94365 | − | 1.60239i | −0.0760026 | − | 0.0626585i | ||||
\(655\) | −2.56558 | + | 4.44371i | −0.100245 | + | 0.173630i | ||||
\(656\) | 29.8336 | − | 2.52870i | 1.16481 | − | 0.0987293i | ||||
\(657\) | 21.5838 | + | 10.3942i | 0.842065 | + | 0.405517i | ||||
\(658\) | −14.9291 | + | 1.84128i | −0.581996 | + | 0.0717807i | ||||
\(659\) | 1.86922 | + | 3.88148i | 0.0728146 | + | 0.151201i | 0.934199 | − | 0.356753i | \(-0.116116\pi\) |
−0.861384 | + | 0.507954i | \(0.830402\pi\) | |||||||
\(660\) | 0.0347221 | − | 1.06731i | 0.00135155 | − | 0.0415451i | ||||
\(661\) | −30.6391 | + | 33.0210i | −1.19172 | + | 1.28437i | −0.242359 | + | 0.970187i | \(0.577921\pi\) |
−0.949362 | + | 0.314183i | \(0.898269\pi\) | |||||||
\(662\) | 21.8718 | + | 10.9745i | 0.850070 | + | 0.426536i | ||||
\(663\) | −4.24052 | − | 2.89113i | −0.164688 | − | 0.112282i | ||||
\(664\) | 8.19587 | − | 29.2516i | 0.318061 | − | 1.13518i | ||||
\(665\) | −6.27056 | + | 0.402973i | −0.243162 | + | 0.0156266i | ||||
\(666\) | −22.0886 | − | 3.69758i | −0.855915 | − | 0.143278i | ||||
\(667\) | −12.1551 | + | 7.01777i | −0.470649 | + | 0.271729i | ||||
\(668\) | −1.29279 | − | 30.5594i | −0.0500197 | − | 1.18238i | ||||
\(669\) | −1.45210 | − | 2.12984i | −0.0561414 | − | 0.0823444i | ||||
\(670\) | 0.0733227 | + | 0.546633i | 0.00283270 | + | 0.0211183i | ||||
\(671\) | −2.10440 | + | 9.21996i | −0.0812393 | + | 0.355933i | ||||
\(672\) | 1.12170 | + | 2.02204i | 0.0432705 | + | 0.0780018i | ||||
\(673\) | 6.03421 | + | 26.4376i | 0.232602 | + | 1.01910i | 0.947472 | + | 0.319838i | \(0.103629\pi\) |
−0.714870 | + | 0.699257i | \(0.753514\pi\) | |||||||
\(674\) | 32.2620 | − | 12.0603i | 1.24269 | − | 0.464546i | ||||
\(675\) | 1.27396 | − | 4.13007i | 0.0490347 | − | 0.158966i | ||||
\(676\) | 51.3991 | + | 37.5483i | 1.97689 | + | 1.44416i | ||||
\(677\) | 5.62486 | + | 18.2353i | 0.216181 | + | 0.700841i | 0.997093 | + | 0.0761998i | \(0.0242787\pi\) |
−0.780912 | + | 0.624642i | \(0.785245\pi\) | |||||||
\(678\) | −2.41679 | − | 1.70595i | −0.0928162 | − | 0.0655168i | ||||
\(679\) | 22.4347 | + | 1.92113i | 0.860965 | + | 0.0737261i | ||||
\(680\) | −1.38459 | − | 7.80287i | −0.0530966 | − | 0.299226i | ||||
\(681\) | −0.346301 | + | 0.882359i | −0.0132703 | + | 0.0338121i | ||||
\(682\) | 11.9564 | + | 56.6125i | 0.457835 | + | 2.16780i | ||||
\(683\) | −0.653336 | − | 4.33460i | −0.0249992 | − | 0.165859i | 0.972848 | − | 0.231447i | \(-0.0743459\pi\) |
−0.997847 | + | 0.0655877i | \(0.979108\pi\) | |||||||
\(684\) | 24.2114 | + | 6.36097i | 0.925745 | + | 0.243218i | ||||
\(685\) | 10.3464i | 0.395314i | ||||||||
\(686\) | −18.3204 | − | 18.7179i | −0.699478 | − | 0.714654i | ||||
\(687\) | −1.39629 | −0.0532716 | ||||||||
\(688\) | −9.00225 | + | 2.87332i | −0.343208 | + | 0.109544i | ||||
\(689\) | 19.4327 | − | 2.92900i | 0.740325 | − | 0.111586i | ||||
\(690\) | 0.276827 | − | 0.0584652i | 0.0105386 | − | 0.00222573i | ||||
\(691\) | 27.2332 | + | 10.6882i | 1.03600 | + | 0.406600i | 0.821551 | − | 0.570135i | \(-0.193109\pi\) |
0.214449 | + | 0.976735i | \(0.431204\pi\) | |||||||
\(692\) | −31.7157 | − | 3.41688i | −1.20565 | − | 0.129890i | ||||
\(693\) | 4.11146 | − | 48.0132i | 0.156182 | − | 1.82387i | ||||
\(694\) | 7.73653 | + | 5.46103i | 0.293675 | + | 0.207298i | ||||
\(695\) | 2.96850 | − | 0.915662i | 0.112602 | − | 0.0347330i | ||||
\(696\) | −0.912073 | + | 2.51439i | −0.0345720 | + | 0.0953076i | ||||
\(697\) | 35.4882 | + | 10.9467i | 1.34421 | + | 0.414635i | ||||
\(698\) | −2.33972 | − | 6.25889i | −0.0885597 | − | 0.236902i | ||||
\(699\) | 0.354291 | − | 0.0808647i | 0.0134005 | − | 0.00305858i | ||||
\(700\) | −8.31522 | + | 23.3327i | −0.314286 | + | 0.881893i | ||||
\(701\) | −45.5794 | − | 10.4032i | −1.72151 | − | 0.392924i | −0.756265 | − | 0.654265i | \(-0.772978\pi\) |
−0.965247 | + | 0.261341i | \(0.915835\pi\) | |||||||
\(702\) | 1.16225 | + | 8.66474i | 0.0438662 | + | 0.327030i | ||||
\(703\) | −18.4901 | + | 12.6063i | −0.697368 | + | 0.475457i | ||||
\(704\) | 18.9195 | − | 45.1561i | 0.713057 | − | 1.70188i | ||||
\(705\) | 0.175373 | + | 0.303755i | 0.00660493 | + | 0.0114401i | ||||
\(706\) | 1.85532 | − | 11.0833i | 0.0698258 | − | 0.417125i | ||||
\(707\) | 1.27153 | + | 19.7860i | 0.0478210 | + | 0.744130i | ||||
\(708\) | 0.127779 | − | 0.205580i | 0.00480224 | − | 0.00772615i | ||||
\(709\) | 7.84984 | − | 11.5136i | 0.294807 | − | 0.432403i | −0.650047 | − | 0.759894i | \(-0.725251\pi\) |
0.944854 | + | 0.327491i | \(0.106203\pi\) | |||||||
\(710\) | −2.05167 | − | 1.02946i | −0.0769976 | − | 0.0386348i | ||||
\(711\) | −23.6256 | − | 21.9214i | −0.886029 | − | 0.822115i | ||||
\(712\) | 7.14239 | + | 27.9231i | 0.267672 | + | 1.04646i | ||||
\(713\) | −13.8121 | + | 6.65157i | −0.517268 | + | 0.249103i | ||||
\(714\) | 0.351090 | + | 2.84663i | 0.0131392 | + | 0.106532i | ||||
\(715\) | −10.0394 | + | 20.8470i | −0.375453 | + | 0.779635i | ||||
\(716\) | 12.2526 | − | 23.4595i | 0.457902 | − | 0.876722i | ||||
\(717\) | 0.0578130 | + | 0.0333783i | 0.00215907 | + | 0.00124654i | ||||
\(718\) | −35.9408 | − | 29.6305i | −1.34130 | − | 1.10580i | ||||
\(719\) | 4.54941 | + | 0.685714i | 0.169665 | + | 0.0255728i | 0.233325 | − | 0.972399i | \(-0.425039\pi\) |
−0.0636605 | + | 0.997972i | \(0.520277\pi\) | |||||||
\(720\) | −4.13994 | + | 5.29654i | −0.154287 | + | 0.197390i | ||||
\(721\) | −16.6704 | + | 33.6960i | −0.620839 | + | 1.25491i | ||||
\(722\) | −1.62252 | + | 0.901908i | −0.0603838 | + | 0.0335655i | ||||
\(723\) | 2.00907 | − | 0.150559i | 0.0747180 | − | 0.00559934i | ||||
\(724\) | 8.49832 | + | 31.1083i | 0.315838 | + | 1.15613i | ||||
\(725\) | −26.6713 | + | 10.4677i | −0.990549 | + | 0.388762i | ||||
\(726\) | 4.82790 | − | 3.17786i | 0.179180 | − | 0.117942i | ||||
\(727\) | −24.1259 | − | 30.2530i | −0.894781 | − | 1.12202i | −0.991935 | − | 0.126751i | \(-0.959545\pi\) |
0.0971536 | − | 0.995269i | \(-0.469026\pi\) | |||||||
\(728\) | −4.51289 | − | 49.8992i | −0.167259 | − | 1.84939i | ||||
\(729\) | 16.0359 | − | 20.1084i | 0.593922 | − | 0.744754i | ||||
\(730\) | −0.584562 | + | 6.40176i | −0.0216356 | + | 0.236940i | ||||
\(731\) | −11.6886 | − | 0.875937i | −0.432317 | − | 0.0323977i | ||||
\(732\) | −0.360401 | + | 0.313224i | −0.0133208 | + | 0.0115771i | ||||
\(733\) | 10.3762 | + | 11.1829i | 0.383254 | + | 0.413050i | 0.894985 | − | 0.446096i | \(-0.147186\pi\) |
−0.511731 | + | 0.859146i | \(0.670995\pi\) | |||||||
\(734\) | −13.7307 | − | 47.2270i | −0.506810 | − | 1.74318i | ||||
\(735\) | −0.235150 | + | 0.563636i | −0.00867363 | + | 0.0207900i | ||||
\(736\) | 12.8140 | + | 2.01670i | 0.472331 | + | 0.0743365i | ||||
\(737\) | −3.09822 | + | 2.87473i | −0.114124 | + | 0.105892i | ||||
\(738\) | −13.2058 | − | 28.6027i | −0.486112 | − | 1.05288i | ||||
\(739\) | −36.6825 | − | 2.74897i | −1.34939 | − | 0.101123i | −0.619665 | − | 0.784866i | \(-0.712732\pi\) |
−0.729723 | + | 0.683743i | \(0.760351\pi\) | |||||||
\(740\) | −1.14607 | − | 5.89941i | −0.0421304 | − | 0.216867i | ||||
\(741\) | 3.40124 | + | 2.71240i | 0.124948 | + | 0.0996425i | ||||
\(742\) | −8.39939 | − | 7.07590i | −0.308351 | − | 0.259764i | ||||
\(743\) | 5.19664 | + | 6.51637i | 0.190646 | + | 0.239063i | 0.867963 | − | 0.496629i | \(-0.165429\pi\) |
−0.677317 | + | 0.735691i | \(0.736857\pi\) | |||||||
\(744\) | −1.19866 | + | 2.66421i | −0.0439450 | + | 0.0976747i | ||||
\(745\) | −1.51826 | − | 3.86847i | −0.0556249 | − | 0.141730i | ||||
\(746\) | −38.4578 | − | 0.625393i | −1.40804 | − | 0.0228973i | ||||
\(747\) | −31.8751 | + | 2.38871i | −1.16625 | + | 0.0873982i | ||||
\(748\) | 42.7318 | − | 43.1509i | 1.56243 | − | 1.57775i | ||||
\(749\) | −5.06057 | − | 23.3106i | −0.184909 | − | 0.851752i | ||||
\(750\) | 1.19245 | − | 0.0698853i | 0.0435422 | − | 0.00255185i | ||||
\(751\) | 28.9433 | + | 4.36250i | 1.05616 | + | 0.159190i | 0.654087 | − | 0.756419i | \(-0.273053\pi\) |
0.402069 | + | 0.915609i | \(0.368291\pi\) | |||||||
\(752\) | 2.55177 | + | 15.8770i | 0.0930535 | + | 0.578976i | ||||
\(753\) | −1.06813 | + | 1.85005i | −0.0389247 | + | 0.0674196i | ||||
\(754\) | 40.1047 | − | 41.8372i | 1.46053 | − | 1.52362i | ||||
\(755\) | −1.20203 | + | 2.49603i | −0.0437462 | + | 0.0908400i | ||||
\(756\) | 3.20808 | − | 3.68483i | 0.116677 | − | 0.134016i | ||||
\(757\) | −22.4704 | − | 46.6603i | −0.816702 | − | 1.69590i | −0.712861 | − | 0.701305i | \(-0.752601\pi\) |
−0.103841 | − | 0.994594i | \(-0.533113\pi\) | |||||||
\(758\) | 32.5584 | + | 10.6257i | 1.18257 | + | 0.385942i | ||||
\(759\) | 1.58938 | + | 1.47473i | 0.0576910 | + | 0.0535294i | ||||
\(760\) | 0.676086 | + | 6.68323i | 0.0245242 | + | 0.242426i | ||||
\(761\) | 11.7617 | + | 8.01898i | 0.426361 | + | 0.290688i | 0.757427 | − | 0.652920i | \(-0.226456\pi\) |
−0.331066 | + | 0.943607i | \(0.607408\pi\) | |||||||
\(762\) | −1.47615 | + | 1.32566i | −0.0534753 | + | 0.0480236i | ||||
\(763\) | 11.4449 | − | 28.2743i | 0.414335 | − | 1.02360i | ||||
\(764\) | −23.2951 | + | 2.73989i | −0.842787 | + | 0.0991258i | ||||
\(765\) | −7.22144 | + | 4.16930i | −0.261092 | + | 0.150741i | ||||
\(766\) | 0.579552 | + | 0.142231i | 0.0209400 | + | 0.00513903i | ||||
\(767\) | −4.33344 | + | 2.95449i | −0.156471 | + | 0.106680i | ||||
\(768\) | 2.11627 | − | 1.27753i | 0.0763642 | − | 0.0460990i | ||||
\(769\) | −9.60205 | + | 42.0693i | −0.346259 | + | 1.51706i | 0.439339 | + | 0.898321i | \(0.355213\pi\) |
−0.785598 | + | 0.618737i | \(0.787645\pi\) | |||||||
\(770\) | 12.4545 | − | 3.47794i | 0.448828 | − | 0.125336i | ||||
\(771\) | 0.275869 | − | 0.0629652i | 0.00993517 | − | 0.00226764i | ||||
\(772\) | −12.6815 | − | 17.0086i | −0.456419 | − | 0.612152i | ||||
\(773\) | 5.06307 | − | 16.4141i | 0.182106 | − | 0.590373i | −0.817784 | − | 0.575526i | \(-0.804797\pi\) |
0.999890 | − | 0.0148476i | \(-0.00472633\pi\) | |||||||
\(774\) | 6.07223 | + | 7.87364i | 0.218262 | + | 0.283012i | ||||
\(775\) | −29.9047 | + | 9.22438i | −1.07421 | + | 0.331350i | ||||
\(776\) | 1.17377 | − | 24.0429i | 0.0421359 | − | 0.863088i | ||||
\(777\) | 0.301312 | + | 2.15411i | 0.0108095 | + | 0.0772783i | ||||
\(778\) | 8.06870 | − | 19.6148i | 0.289277 | − | 0.703223i | ||||
\(779\) | −29.3037 | − | 11.5009i | −1.04991 | − | 0.412061i | ||||
\(780\) | −1.03021 | + | 0.550929i | −0.0368875 | + | 0.0197264i | ||||
\(781\) | −2.62173 | − | 17.3940i | −0.0938129 | − | 0.622408i | ||||
\(782\) | 13.8018 | + | 8.27056i | 0.493551 | + | 0.295755i | ||||
\(783\) | 5.65132 | 0.201962 | ||||||||
\(784\) | −19.2794 | + | 20.3053i | −0.688550 | + | 0.725189i | ||||
\(785\) | −4.97927 | −0.177718 | ||||||||
\(786\) | −1.70298 | − | 1.02049i | −0.0607434 | − | 0.0363998i | ||||
\(787\) | 6.58447 | + | 43.6851i | 0.234711 | + | 1.55721i | 0.726916 | + | 0.686726i | \(0.240953\pi\) |
−0.492205 | + | 0.870479i | \(0.663809\pi\) | |||||||
\(788\) | −7.36461 | + | 3.93840i | −0.262353 | + | 0.140300i | ||||
\(789\) | 2.57958 | + | 1.01241i | 0.0918354 | + | 0.0360427i | ||||
\(790\) | 3.29007 | − | 7.99806i | 0.117055 | − | 0.284558i | ||||
\(791\) | 10.9216 | − | 34.1158i | 0.388326 | − | 1.21302i | ||||
\(792\) | −51.4548 | − | 2.51202i | −1.82837 | − | 0.0892606i | ||||
\(793\) | 9.88650 | − | 3.04958i | 0.351080 | − | 0.108294i | ||||
\(794\) | 0.949940 | + | 1.23175i | 0.0337121 | + | 0.0437133i | ||||
\(795\) | −0.0754830 | + | 0.244710i | −0.00267711 | + | 0.00867896i | ||||
\(796\) | −15.7705 | − | 21.1515i | −0.558970 | − | 0.749694i | ||||
\(797\) | 14.3297 | − | 3.27067i | 0.507585 | − | 0.115853i | 0.0389437 | − | 0.999241i | \(-0.487601\pi\) |
0.468642 | + | 0.883388i | \(0.344744\pi\) | |||||||
\(798\) | −0.116448 | − | 2.42841i | −0.00412221 | − | 0.0859647i | ||||
\(799\) | −4.43852 | + | 19.4464i | −0.157024 | + | 0.687966i | ||||
\(800\) | 25.2526 | + | 7.96958i | 0.892815 | + | 0.281767i | ||||
\(801\) | 25.0576 | − | 17.0840i | 0.885365 | − | 0.603632i | ||||
\(802\) | 33.7096 | + | 8.27289i | 1.19033 | + | 0.292126i | ||||
\(803\) | −42.6622 | + | 24.6310i | −1.50552 | + | 0.869210i | ||||
\(804\) | −0.211935 | + | 0.0249272i | −0.00747438 | + | 0.000879113i | ||||
\(805\) | 1.68141 | + | 2.98508i | 0.0592618 | + | 0.105210i | ||||
\(806\) | 47.0968 | − | 42.2954i | 1.65891 | − | 1.48979i | ||||
\(807\) | −2.26077 | − | 1.54137i | −0.0795829 | − | 0.0542587i | ||||
\(808\) | 21.0881 | − | 2.13331i | 0.741878 | − | 0.0750495i | ||||
\(809\) | 1.61225 | + | 1.49595i | 0.0566836 | + | 0.0525947i | 0.708006 | − | 0.706206i | \(-0.249595\pi\) |
−0.651322 | + | 0.758801i | \(0.725785\pi\) | |||||||
\(810\) | 6.67017 | + | 2.17686i | 0.234366 | + | 0.0764871i | ||||
\(811\) | −13.2670 | − | 27.5493i | −0.465869 | − | 0.967386i | −0.993057 | − | 0.117637i | \(-0.962468\pi\) |
0.527188 | − | 0.849749i | \(-0.323246\pi\) | |||||||
\(812\) | −32.3579 | − | 1.39693i | −1.13554 | − | 0.0490227i | ||||
\(813\) | −0.486838 | + | 1.01093i | −0.0170741 | + | 0.0354548i | ||||
\(814\) | 31.8691 | − | 33.2458i | 1.11701 | − | 1.16527i | ||||
\(815\) | −0.497583 | + | 0.861839i | −0.0174296 | + | 0.0301889i | ||||
\(816\) | 3.02738 | − | 0.486563i | 0.105980 | − | 0.0170331i | ||||
\(817\) | 9.82451 | + | 1.48081i | 0.343716 | + | 0.0518069i | ||||
\(818\) | −49.2186 | + | 2.88453i | −1.72089 | + | 0.100855i | ||||
\(819\) | −47.7387 | + | 22.3681i | −1.66813 | + | 0.781605i | ||||
\(820\) | 5.94849 | − | 6.00682i | 0.207730 | − | 0.209767i | ||||
\(821\) | −38.4944 | + | 2.88476i | −1.34346 | + | 0.100679i | −0.726964 | − | 0.686676i | \(-0.759069\pi\) |
−0.616501 | + | 0.787354i | \(0.711450\pi\) | |||||||
\(822\) | −4.00267 | − | 0.0650906i | −0.139609 | − | 0.00227030i | ||||
\(823\) | −0.638268 | − | 1.62628i | −0.0222486 | − | 0.0566886i | 0.919318 | − | 0.393516i | \(-0.128741\pi\) |
−0.941566 | + | 0.336827i | \(0.890646\pi\) | |||||||
\(824\) | 36.6513 | + | 16.4898i | 1.27681 | + | 0.574450i | ||||
\(825\) | 2.75962 | + | 3.46045i | 0.0960775 | + | 0.120477i | ||||
\(826\) | 2.83900 | + | 0.728798i | 0.0987813 | + | 0.0253581i | ||||
\(827\) | −11.1724 | − | 8.90972i | −0.388503 | − | 0.309821i | 0.409687 | − | 0.912226i | \(-0.365638\pi\) |
−0.798191 | + | 0.602405i | \(0.794209\pi\) | |||||||
\(828\) | −2.60294 | − | 13.3987i | −0.0904584 | − | 0.465636i | ||||
\(829\) | 31.4628 | + | 2.35781i | 1.09275 | + | 0.0818901i | 0.608889 | − | 0.793256i | \(-0.291616\pi\) |
0.483859 | + | 0.875146i | \(0.339235\pi\) | |||||||
\(830\) | −3.59541 | − | 7.78738i | −0.124799 | − | 0.270304i | ||||
\(831\) | −1.89838 | + | 1.76144i | −0.0658541 | + | 0.0611036i | ||||
\(832\) | −53.1319 | + | 6.77547i | −1.84202 | + | 0.234897i | ||||
\(833\) | −31.6047 | + | 14.4010i | −1.09504 | + | 0.498966i | ||||
\(834\) | 0.335564 | + | 1.15418i | 0.0116196 | + | 0.0399658i | ||||
\(835\) | −5.87413 | − | 6.33081i | −0.203283 | − | 0.219087i | ||||
\(836\) | −38.8533 | + | 33.7673i | −1.34377 | + | 1.16787i | ||||
\(837\) | 6.15539 | + | 0.461283i | 0.212762 | + | 0.0159443i | ||||
\(838\) | 4.88864 | − | 53.5374i | 0.168875 | − | 1.84942i | ||||
\(839\) | 25.4215 | − | 31.8775i | 0.877646 | − | 1.10053i | −0.116575 | − | 0.993182i | \(-0.537191\pi\) |
0.994221 | − | 0.107352i | \(-0.0342371\pi\) | |||||||
\(840\) | 0.611357 | + | 0.229143i | 0.0210938 | + | 0.00790618i | ||||
\(841\) | −5.27702 | − | 6.61718i | −0.181966 | − | 0.228179i | ||||
\(842\) | −13.1731 | + | 8.67089i | −0.453974 | + | 0.298819i | ||||
\(843\) | −1.64523 | + | 0.645703i | −0.0566646 | + | 0.0222392i | ||||
\(844\) | 4.04165 | + | 14.7945i | 0.139119 | + | 0.509248i | ||||
\(845\) | 17.9224 | − | 1.34310i | 0.616548 | − | 0.0462039i | ||||
\(846\) | 14.7892 | − | 8.22089i | 0.508465 | − | 0.282640i | ||||
\(847\) | 54.2531 | + | 44.2164i | 1.86416 | + | 1.51929i | ||||
\(848\) | −7.23042 | + | 9.25042i | −0.248294 | + | 0.317661i | ||||
\(849\) | 4.17386 | + | 0.629108i | 0.143246 | + | 0.0215909i | ||||
\(850\) | 25.3437 | + | 20.8941i | 0.869283 | + | 0.716660i | ||||
\(851\) | 10.5671 | + | 6.10093i | 0.362236 | + | 0.209137i | ||||
\(852\) | 0.411170 | − | 0.787245i | 0.0140864 | − | 0.0269706i | ||||
\(853\) | 1.68044 | − | 3.48946i | 0.0575371 | − | 0.119477i | −0.870218 | − | 0.492667i | \(-0.836022\pi\) |
0.927755 | + | 0.373190i | \(0.121736\pi\) | |||||||
\(854\) | −4.92780 | − | 3.02453i | −0.168626 | − | 0.103497i | ||||
\(855\) | 6.36816 | − | 3.06675i | 0.217787 | − | 0.104880i | ||||
\(856\) | −24.7052 | + | 6.31928i | −0.844406 | + | 0.215988i | ||||
\(857\) | −19.6015 | − | 18.1875i | −0.669574 | − | 0.621274i | 0.270308 | − | 0.962774i | \(-0.412874\pi\) |
−0.939882 | + | 0.341500i | \(0.889065\pi\) | |||||||
\(858\) | −8.00187 | − | 4.01507i | −0.273179 | − | 0.137072i | ||||
\(859\) | 20.4450 | − | 29.9872i | 0.697573 | − | 1.02315i | −0.300028 | − | 0.953930i | \(-0.596996\pi\) |
0.997601 | − | 0.0692213i | \(-0.0220515\pi\) | |||||||
\(860\) | −1.40849 | + | 2.26607i | −0.0480293 | + | 0.0772725i | ||||
\(861\) | −2.26488 | + | 2.05716i | −0.0771868 | + | 0.0701077i | ||||
\(862\) | −2.10046 | + | 12.5477i | −0.0715419 | + | 0.427377i | ||||
\(863\) | 19.5641 | + | 33.8861i | 0.665971 | + | 1.15350i | 0.979021 | + | 0.203759i | \(0.0653158\pi\) |
−0.313050 | + | 0.949737i | \(0.601351\pi\) | |||||||
\(864\) | −4.06224 | − | 3.28297i | −0.138200 | − | 0.111689i | ||||
\(865\) | −7.44178 | + | 5.07372i | −0.253028 | + | 0.172512i | ||||
\(866\) | −4.72705 | − | 35.2409i | −0.160632 | − | 1.19754i | ||||
\(867\) | 1.14736 | + | 0.261877i | 0.0389663 | + | 0.00889380i | ||||
\(868\) | −35.1300 | − | 4.16271i | −1.19239 | − | 0.141292i | ||||
\(869\) | 64.6122 | − | 14.7473i | 2.19182 | − | 0.500268i | ||||
\(870\) | 0.264441 | + | 0.707395i | 0.00896539 | + | 0.0239829i | ||||
\(871\) | 4.41839 | + | 1.36289i | 0.149711 | + | 0.0461798i | ||||
\(872\) | −30.6544 | − | 11.1196i | −1.03809 | − | 0.376558i | ||||
\(873\) | −24.2032 | + | 7.46571i | −0.819156 | + | 0.252676i | ||||
\(874\) | −11.1423 | − | 7.86512i | −0.376895 | − | 0.266042i | ||||
\(875\) | 5.14103 | + | 13.5197i | 0.173799 | + | 0.457051i | ||||
\(876\) | −2.47295 | − | 0.266422i | −0.0835533 | − | 0.00900157i | ||||
\(877\) | −27.9128 | − | 10.9550i | −0.942548 | − | 0.369923i | −0.156213 | − | 0.987723i | \(-0.549929\pi\) |
−0.786335 | + | 0.617800i | \(0.788024\pi\) | |||||||
\(878\) | 25.2859 | − | 5.34033i | 0.853358 | − | 0.180227i | ||||
\(879\) | −1.13962 | + | 0.171770i | −0.0384383 | + | 0.00579365i | ||||
\(880\) | −4.20334 | − | 13.1692i | −0.141694 | − | 0.443935i | ||||
\(881\) | 43.6746 | 1.47143 | 0.735717 | − | 0.677289i | \(-0.236845\pi\) | ||||
0.735717 | + | 0.677289i | \(0.236845\pi\) | |||||||
\(882\) | 27.0027 | + | 11.7846i | 0.909227 | + | 0.396808i | ||||
\(883\) | − | 16.2114i | − | 0.545559i | −0.962077 | − | 0.272779i | \(-0.912057\pi\) | ||
0.962077 | − | 0.272779i | \(-0.0879429\pi\) | |||||||
\(884\) | −64.2576 | − | 16.8822i | −2.16122 | − | 0.567809i | ||||
\(885\) | −0.0101862 | − | 0.0675813i | −0.000342407 | − | 0.00227172i | ||||
\(886\) | 8.68264 | + | 41.1114i | 0.291699 | + | 1.38117i | ||||
\(887\) | −18.3700 | + | 46.8060i | −0.616805 | + | 1.57159i | 0.190647 | + | 0.981659i | \(0.438942\pi\) |
−0.807451 | + | 0.589934i | \(0.799154\pi\) | |||||||
\(888\) | 2.28950 | − | 0.406263i | 0.0768305 | − | 0.0136333i | ||||
\(889\) | −20.6772 | − | 12.2327i | −0.693492 | − | 0.410272i | ||||
\(890\) | 6.64849 | + | 4.69301i | 0.222858 | + | 0.157310i | ||||
\(891\) | 15.8484 | + | 51.3793i | 0.530942 | + | 1.72127i | ||||
\(892\) | −26.9452 | − | 19.6841i | −0.902192 | − | 0.659073i | ||||
\(893\) | 4.98357 | − | 16.1563i | 0.166769 | − | 0.540651i | ||||
\(894\) | 1.50614 | − | 0.563029i | 0.0503727 | − | 0.0188305i | ||||
\(895\) | −1.66287 | − | 7.28550i | −0.0555835 | − | 0.243527i | ||||
\(896\) | 22.4478 | + | 19.8015i | 0.749927 | + | 0.661521i | ||||
\(897\) | 0.527822 | − | 2.31254i | 0.0176235 | − | 0.0772134i | ||||
\(898\) | 0.0273899 | + | 0.204196i | 0.000914014 | + | 0.00681412i | ||||
\(899\) | −23.0509 | − | 33.8094i | −0.768790 | − | 1.12761i | ||||
\(900\) | −1.17768 | − | 27.8383i | −0.0392559 | − | 0.927943i | ||||
\(901\) | −12.6123 | + | 7.28169i | −0.420175 | + | 0.242588i | ||||
\(902\) | 63.8940 | + | 10.6957i | 2.12744 | + | 0.356128i | ||||
\(903\) | 0.552430 | − | 0.792054i | 0.0183837 | − | 0.0263579i | ||||
\(904\) | −36.8746 | − | 10.3317i | −1.22643 | − | 0.343628i | ||||
\(905\) | 7.52318 | + | 5.12922i | 0.250079 | + | 0.170501i | ||||
\(906\) | −0.958071 | − | 0.480727i | −0.0318298 | − | 0.0159711i | ||||
\(907\) | 27.4466 | − | 29.5804i | 0.911350 | − | 0.982202i | −0.0885538 | − | 0.996071i | \(-0.528225\pi\) |
0.999904 | + | 0.0138696i | \(0.00441499\pi\) | |||||||
\(908\) | −0.398974 | + | 12.2639i | −0.0132404 | + | 0.406993i | ||||
\(909\) | −9.67675 | − | 20.0940i | −0.320958 | − | 0.666475i | ||||
\(910\) | −10.1078 | − | 9.89743i | −0.335071 | − | 0.328097i | ||||
\(911\) | −50.5934 | − | 24.3645i | −1.67623 | − | 0.807232i | −0.997332 | − | 0.0730043i | \(-0.976741\pi\) |
−0.678903 | − | 0.734228i | \(-0.737544\pi\) | |||||||
\(912\) | −2.58977 | + | 0.219510i | −0.0857560 | + | 0.00726870i | ||||
\(913\) | 32.8648 | − | 56.9235i | 1.08767 | − | 1.88389i | ||||
\(914\) | −9.07214 | − | 7.47931i | −0.300080 | − | 0.247394i | ||||
\(915\) | −0.0200940 | + | 0.133315i | −0.000664286 | + | 0.00440725i | ||||
\(916\) | −17.0314 | + | 6.05298i | −0.562734 | + | 0.199996i | ||||
\(917\) | 5.59820 | − | 23.3796i | 0.184869 | − | 0.772062i | ||||
\(918\) | −3.14764 | − | 5.66255i | −0.103887 | − | 0.186892i | ||||
\(919\) | 0.0118754 | + | 0.158466i | 0.000391733 | + | 0.00522731i | 0.997396 | − | 0.0721162i | \(-0.0229752\pi\) |
−0.997005 | + | 0.0773435i | \(0.975356\pi\) | |||||||
\(920\) | 3.12319 | − | 1.91320i | 0.102968 | − | 0.0630763i | ||||
\(921\) | −1.63421 | − | 4.16391i | −0.0538491 | − | 0.137205i | ||||
\(922\) | 34.3630 | − | 22.6187i | 1.13168 | − | 0.744907i | ||||
\(923\) | −15.0458 | + | 11.9986i | −0.495237 | + | 0.394938i | ||||
\(924\) | 1.26715 | + | 4.84010i | 0.0416860 | + | 0.159228i | ||||
\(925\) | 19.4744 | + | 15.5303i | 0.640314 | + | 0.510634i | ||||
\(926\) | −13.4517 | − | 1.22831i | −0.442049 | − | 0.0403647i | ||||
\(927\) | 3.16024 | − | 42.1704i | 0.103796 | − | 1.38506i | ||||
\(928\) | −0.225129 | + | 34.6235i | −0.00739021 | + | 1.13657i | ||||
\(929\) | −4.86999 | + | 4.51869i | −0.159779 | + | 0.148253i | −0.756011 | − | 0.654559i | \(-0.772854\pi\) |
0.596232 | + | 0.802812i | \(0.296664\pi\) | |||||||
\(930\) | 0.230287 | + | 0.792076i | 0.00755142 | + | 0.0259732i | ||||
\(931\) | 27.6267 | − | 10.1708i | 0.905430 | − | 0.333334i | ||||
\(932\) | 3.97097 | − | 2.52223i | 0.130073 | − | 0.0826185i | ||||
\(933\) | 0.821827 | + | 0.885719i | 0.0269054 | + | 0.0289971i | ||||
\(934\) | 30.9951 | − | 14.3104i | 1.01419 | − | 0.468249i | ||||
\(935\) | 1.28139 | − | 17.0990i | 0.0419060 | − | 0.559197i | ||||
\(936\) | 25.7661 | + | 50.1245i | 0.842191 | + | 1.63837i | ||||
\(937\) | 30.1432 | − | 37.7984i | 0.984735 | − | 1.23482i | 0.0127156 | − | 0.999919i | \(-0.495952\pi\) |
0.972020 | − | 0.234900i | \(-0.0754762\pi\) | |||||||
\(938\) | −1.05818 | − | 2.35742i | −0.0345507 | − | 0.0769725i | ||||
\(939\) | 0.935757 | − | 0.746241i | 0.0305373 | − | 0.0243527i | ||||
\(940\) | 3.45594 | + | 2.94485i | 0.112720 | + | 0.0960503i | ||||
\(941\) | −50.9319 | + | 19.9893i | −1.66033 | + | 0.651633i | −0.995447 | − | 0.0953124i | \(-0.969615\pi\) |
−0.664886 | + | 0.746945i | \(0.731520\pi\) | |||||||
\(942\) | 0.0313254 | − | 1.92631i | 0.00102064 | − | 0.0627627i | ||||
\(943\) | 1.28268 | + | 17.1162i | 0.0417699 | + | 0.557381i | ||||
\(944\) | 0.667409 | − | 3.06152i | 0.0217223 | − | 0.0996440i | ||||
\(945\) | 0.0146550 | − | 1.37940i | 0.000476726 | − | 0.0448719i | ||||
\(946\) | −20.4114 | + | 1.19624i | −0.663633 | + | 0.0388931i | ||||
\(947\) | −8.87226 | + | 58.8636i | −0.288310 | + | 1.91281i | 0.106996 | + | 0.994259i | \(0.465877\pi\) |
−0.395305 | + | 0.918550i | \(0.629361\pi\) | |||||||
\(948\) | 3.07349 | + | 1.32314i | 0.0998222 | + | 0.0429734i | ||||
\(949\) | 46.6730 | + | 26.9467i | 1.51507 | + | 0.874725i | ||||
\(950\) | −20.0988 | − | 19.2665i | −0.652091 | − | 0.625088i | ||||
\(951\) | 1.50723 | + | 0.725842i | 0.0488751 | + | 0.0235370i | ||||
\(952\) | 16.6228 | + | 33.2002i | 0.538747 | + | 1.07602i | ||||
\(953\) | −39.4668 | + | 19.0062i | −1.27845 | + | 0.615671i | −0.944992 | − | 0.327092i | \(-0.893931\pi\) |
−0.333462 | + | 0.942764i | \(0.608217\pi\) | |||||||
\(954\) | 11.7444 | + | 3.83289i | 0.380240 | + | 0.124094i | ||||
\(955\) | −4.50461 | + | 4.85482i | −0.145766 | + | 0.157098i | ||||
\(956\) | 0.849880 | + | 0.156515i | 0.0274871 | + | 0.00506205i | ||||
\(957\) | −3.26010 | + | 4.78169i | −0.105384 | + | 0.154570i | ||||
\(958\) | 31.1693 | + | 34.7077i | 1.00703 | + | 1.12135i | ||||
\(959\) | −13.7953 | − | 46.4704i | −0.445473 | − | 1.50061i | ||||
\(960\) | 0.220857 | − | 0.662104i | 0.00712812 | − | 0.0213693i | ||||
\(961\) | −6.84726 | − | 11.8598i | −0.220879 | − | 0.382574i | ||||
\(962\) | −48.9311 | − | 12.0085i | −1.57760 | − | 0.387169i | ||||
\(963\) | 15.1151 | + | 22.1698i | 0.487079 | + | 0.714413i | ||||
\(964\) | 23.8532 | − | 10.5459i | 0.768261 | − | 0.339660i | ||||
\(965\) | −5.84015 | − | 1.33298i | −0.188001 | − | 0.0429100i | ||||
\(966\) | −1.16540 | + | 0.631701i | −0.0374963 | + | 0.0203246i | ||||
\(967\) | 4.04312 | + | 17.7141i | 0.130018 | + | 0.569646i | 0.997404 | + | 0.0720102i | \(0.0229414\pi\) |
−0.867386 | + | 0.497636i | \(0.834201\pi\) | |||||||
\(968\) | 45.1129 | − | 59.6917i | 1.44998 | − | 1.91857i | ||||
\(969\) | −3.08064 | − | 0.950250i | −0.0989643 | − | 0.0305264i | ||||
\(970\) | −4.15067 | − | 5.38202i | −0.133270 | − | 0.172806i | ||||
\(971\) | 2.15414 | + | 6.98354i | 0.0691296 | + | 0.224113i | 0.983545 | − | 0.180665i | \(-0.0578250\pi\) |
−0.914415 | + | 0.404778i | \(0.867349\pi\) | |||||||
\(972\) | −2.68827 | + | 7.80458i | −0.0862264 | + | 0.250332i | ||||
\(973\) | −12.1120 | + | 8.07071i | −0.388294 | + | 0.258735i | ||||
\(974\) | 3.37474 | + | 1.38823i | 0.108134 | + | 0.0444817i | ||||
\(975\) | 1.76905 | − | 4.50747i | 0.0566549 | − | 0.144354i | ||||
\(976\) | −3.03820 | + | 5.38295i | −0.0972505 | + | 0.172304i | ||||
\(977\) | 9.44173 | − | 1.42311i | 0.302068 | − | 0.0455294i | 0.00374040 | − | 0.999993i | \(-0.498809\pi\) |
0.298327 | + | 0.954464i | \(0.403571\pi\) | |||||||
\(978\) | −0.330286 | − | 0.197920i | −0.0105614 | − | 0.00632879i | ||||
\(979\) | 62.3630i | 1.99313i | ||||||||
\(980\) | −0.424879 | + | 7.89443i | −0.0135723 | + | 0.252178i | ||||
\(981\) | 34.3117i | 1.09549i | ||||||||
\(982\) | −9.65673 | + | 16.1150i | −0.308159 | + | 0.514251i | ||||
\(983\) | −6.25642 | + | 0.943004i | −0.199549 | + | 0.0300771i | −0.248056 | − | 0.968746i | \(-0.579792\pi\) |
0.0485072 | + | 0.998823i | \(0.484554\pi\) | |||||||
\(984\) | 2.28642 | + | 2.33906i | 0.0728883 | + | 0.0745666i | ||||
\(985\) | −0.861502 | + | 2.19507i | −0.0274497 | + | 0.0699408i | ||||
\(986\) | −16.3385 | + | 39.7185i | −0.520325 | + | 1.26490i | ||||
\(987\) | −1.19269 | − | 1.13047i | −0.0379639 | − | 0.0359834i | ||||
\(988\) | 53.2456 | + | 18.3403i | 1.69397 | + | 0.583484i | ||||
\(989\) | −1.59677 | − | 5.17660i | −0.0507743 | − | 0.164606i | ||||
\(990\) | −11.5182 | + | 8.88296i | −0.366073 | + | 0.282319i | ||||
\(991\) | −27.6341 | − | 8.52398i | −0.877825 | − | 0.270773i | −0.177090 | − | 0.984195i | \(-0.556668\pi\) |
−0.700735 | + | 0.713421i | \(0.747145\pi\) | |||||||
\(992\) | −3.07132 | + | 37.6934i | −0.0975144 | + | 1.19677i | ||||
\(993\) | 0.594876 | + | 2.60632i | 0.0188778 | + | 0.0827091i | ||||
\(994\) | 10.5876 | + | 1.88819i | 0.335819 | + | 0.0598896i | ||||
\(995\) | −7.26268 | − | 1.65766i | −0.230242 | − | 0.0525513i | ||||
\(996\) | 3.03530 | − | 1.34195i | 0.0961771 | − | 0.0425214i | ||||
\(997\) | 24.5101 | + | 35.9497i | 0.776243 | + | 1.13854i | 0.986956 | + | 0.160991i | \(0.0514691\pi\) |
−0.210713 | + | 0.977548i | \(0.567579\pi\) | |||||||
\(998\) | 0.425926 | − | 1.73552i | 0.0134824 | − | 0.0549370i | ||||
\(999\) | −2.45650 | − | 4.25478i | −0.0777203 | − | 0.134615i |
(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 | 392.2.z.a.109.44 | yes | 648 | |
8.5 | even | 2 | inner | 392.2.z.a.109.20 | ✓ | 648 | |
49.9 | even | 21 | inner | 392.2.z.a.205.20 | yes | 648 | |
392.205 | even | 42 | inner | 392.2.z.a.205.44 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
392.2.z.a.109.20 | ✓ | 648 | 8.5 | even | 2 | inner | |
392.2.z.a.109.44 | yes | 648 | 1.1 | even | 1 | trivial | |
392.2.z.a.205.20 | yes | 648 | 49.9 | even | 21 | inner | |
392.2.z.a.205.44 | yes | 648 | 392.205 | even | 42 | inner |