Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [162,2,Mod(7,162)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(162, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("162.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 162 = 2 \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 162.g (of order \(27\), degree \(18\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.29357651274\) |
Analytic rank: | \(0\) |
Dimension: | \(90\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{27})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{27}]$ |
Embedding invariants
Embedding label | 25.4 | ||
Character | \(\chi\) | \(=\) | 162.25 |
Dual form | 162.2.g.b.13.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/162\mathbb{Z}\right)^\times\).
\(n\) | \(83\) |
\(\chi(n)\) | \(e\left(\frac{23}{27}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.893633 | − | 0.448799i | 0.631894 | − | 0.317349i | ||||
\(3\) | 1.02523 | + | 1.39603i | 0.591919 | + | 0.805997i | ||||
\(4\) | 0.597159 | − | 0.802123i | 0.298579 | − | 0.401062i | ||||
\(5\) | 0.664151 | − | 2.21842i | 0.297017 | − | 0.992107i | −0.671049 | − | 0.741413i | \(-0.734156\pi\) |
0.968066 | − | 0.250694i | \(-0.0806589\pi\) | |||||||
\(6\) | 1.54272 | + | 0.787412i | 0.629812 | + | 0.321460i | ||||
\(7\) | −0.590051 | + | 1.36789i | −0.223018 | + | 0.517014i | −0.992585 | − | 0.121552i | \(-0.961213\pi\) |
0.769567 | + | 0.638566i | \(0.220472\pi\) | |||||||
\(8\) | 0.173648 | − | 0.984808i | 0.0613939 | − | 0.348182i | ||||
\(9\) | −0.897788 | + | 2.86251i | −0.299263 | + | 0.954171i | ||||
\(10\) | −0.402118 | − | 2.28052i | −0.127161 | − | 0.721165i | ||||
\(11\) | −4.28069 | − | 1.01454i | −1.29068 | − | 0.305896i | −0.472739 | − | 0.881202i | \(-0.656735\pi\) |
−0.817938 | + | 0.575306i | \(0.804883\pi\) | |||||||
\(12\) | 1.73201 | + | 0.0112858i | 0.499989 | + | 0.00325792i | ||||
\(13\) | 0.407438 | − | 0.267976i | 0.113003 | − | 0.0743233i | −0.491749 | − | 0.870737i | \(-0.663642\pi\) |
0.604752 | + | 0.796413i | \(0.293272\pi\) | |||||||
\(14\) | 0.0866199 | + | 1.48721i | 0.0231502 | + | 0.397473i | ||||
\(15\) | 3.77789 | − | 1.34723i | 0.975446 | − | 0.347852i | ||||
\(16\) | −0.286803 | − | 0.957990i | −0.0717008 | − | 0.239497i | ||||
\(17\) | 6.18123 | + | 2.24978i | 1.49917 | + | 0.545653i | 0.955845 | − | 0.293871i | \(-0.0949435\pi\) |
0.543323 | + | 0.839524i | \(0.317166\pi\) | |||||||
\(18\) | 0.482400 | + | 2.96096i | 0.113703 | + | 0.697905i | ||||
\(19\) | −6.76026 | + | 2.46053i | −1.55091 | + | 0.564485i | −0.968631 | − | 0.248504i | \(-0.920061\pi\) |
−0.582279 | + | 0.812989i | \(0.697839\pi\) | |||||||
\(20\) | −1.38284 | − | 1.85748i | −0.309213 | − | 0.415345i | ||||
\(21\) | −2.51456 | + | 0.578682i | −0.548721 | + | 0.126279i | ||||
\(22\) | −4.28069 | + | 1.01454i | −0.912647 | + | 0.216301i | ||||
\(23\) | −1.15348 | − | 2.67407i | −0.240517 | − | 0.557582i | 0.754611 | − | 0.656173i | \(-0.227826\pi\) |
−0.995128 | + | 0.0985910i | \(0.968566\pi\) | |||||||
\(24\) | 1.55285 | − | 0.767241i | 0.316974 | − | 0.156612i | ||||
\(25\) | −0.302850 | − | 0.199188i | −0.0605701 | − | 0.0398376i | ||||
\(26\) | 0.243833 | − | 0.422330i | 0.0478195 | − | 0.0828258i | ||||
\(27\) | −4.91659 | + | 1.68141i | −0.946198 | + | 0.323587i | ||||
\(28\) | 0.744864 | + | 1.29014i | 0.140766 | + | 0.243814i | ||||
\(29\) | 0.382974 | − | 6.57542i | 0.0711166 | − | 1.22102i | −0.754311 | − | 0.656517i | \(-0.772029\pi\) |
0.825428 | − | 0.564508i | \(-0.190934\pi\) | |||||||
\(30\) | 2.77141 | − | 2.89944i | 0.505988 | − | 0.529363i | ||||
\(31\) | −1.78001 | − | 0.208053i | −0.319699 | − | 0.0373674i | −0.0452698 | − | 0.998975i | \(-0.514415\pi\) |
−0.274429 | + | 0.961607i | \(0.588489\pi\) | |||||||
\(32\) | −0.686242 | − | 0.727374i | −0.121312 | − | 0.128583i | ||||
\(33\) | −2.97238 | − | 7.01611i | −0.517425 | − | 1.22135i | ||||
\(34\) | 6.53345 | − | 0.763651i | 1.12048 | − | 0.130965i | ||||
\(35\) | 2.64267 | + | 2.21747i | 0.446694 | + | 0.374820i | ||||
\(36\) | 1.75997 | + | 2.42951i | 0.293328 | + | 0.404918i | ||||
\(37\) | −3.51174 | + | 2.94670i | −0.577326 | + | 0.484434i | −0.884068 | − | 0.467359i | \(-0.845206\pi\) |
0.306742 | + | 0.951793i | \(0.400761\pi\) | |||||||
\(38\) | −4.93690 | + | 5.23281i | −0.800871 | + | 0.848874i | ||||
\(39\) | 0.791822 | + | 0.294057i | 0.126793 | + | 0.0470867i | ||||
\(40\) | −2.06939 | − | 1.03929i | −0.327199 | − | 0.164326i | ||||
\(41\) | −7.03828 | − | 3.53476i | −1.09920 | − | 0.552037i | −0.195713 | − | 0.980661i | \(-0.562702\pi\) |
−0.903483 | + | 0.428625i | \(0.858998\pi\) | |||||||
\(42\) | −1.98738 | + | 1.64566i | −0.306659 | + | 0.253931i | ||||
\(43\) | −0.304424 | + | 0.322671i | −0.0464243 | + | 0.0492069i | −0.750170 | − | 0.661246i | \(-0.770028\pi\) |
0.703745 | + | 0.710452i | \(0.251510\pi\) | |||||||
\(44\) | −3.37004 | + | 2.82780i | −0.508053 | + | 0.426307i | ||||
\(45\) | 5.75399 | + | 3.89281i | 0.857754 | + | 0.580306i | ||||
\(46\) | −2.23091 | − | 1.87195i | −0.328929 | − | 0.276004i | ||||
\(47\) | 7.76840 | − | 0.907996i | 1.13314 | − | 0.132445i | 0.471216 | − | 0.882018i | \(-0.343815\pi\) |
0.661922 | + | 0.749573i | \(0.269741\pi\) | |||||||
\(48\) | 1.04334 | − | 1.38255i | 0.150593 | − | 0.199554i | ||||
\(49\) | 3.28072 | + | 3.47736i | 0.468675 | + | 0.496766i | ||||
\(50\) | −0.360032 | − | 0.0420817i | −0.0509162 | − | 0.00595126i | ||||
\(51\) | 3.19645 | + | 10.9357i | 0.447592 | + | 1.53131i | ||||
\(52\) | 0.0283552 | − | 0.486840i | 0.00393216 | − | 0.0675126i | ||||
\(53\) | 0.984340 | + | 1.70493i | 0.135209 | + | 0.234190i | 0.925677 | − | 0.378314i | \(-0.123496\pi\) |
−0.790468 | + | 0.612503i | \(0.790163\pi\) | |||||||
\(54\) | −3.63901 | + | 3.70912i | −0.495207 | + | 0.504748i | ||||
\(55\) | −5.09371 | + | 8.82256i | −0.686836 | + | 1.18963i | ||||
\(56\) | 1.24465 | + | 0.818618i | 0.166323 | + | 0.109392i | ||||
\(57\) | −10.3658 | − | 6.91489i | −1.37299 | − | 0.915899i | ||||
\(58\) | −2.60880 | − | 6.04789i | −0.342553 | − | 0.794126i | ||||
\(59\) | 12.3643 | − | 2.93038i | 1.60969 | − | 0.381503i | 0.675240 | − | 0.737598i | \(-0.264040\pi\) |
0.934450 | + | 0.356095i | \(0.115892\pi\) | |||||||
\(60\) | 1.17536 | − | 3.83484i | 0.151738 | − | 0.495076i | ||||
\(61\) | 4.60541 | + | 6.18613i | 0.589662 | + | 0.792053i | 0.992373 | − | 0.123274i | \(-0.0393394\pi\) |
−0.402711 | + | 0.915327i | \(0.631932\pi\) | |||||||
\(62\) | −1.68405 | + | 0.612943i | −0.213874 | + | 0.0778439i | ||||
\(63\) | −3.38587 | − | 2.91710i | −0.426579 | − | 0.367521i | ||||
\(64\) | −0.939693 | − | 0.342020i | −0.117462 | − | 0.0427525i | ||||
\(65\) | −0.323883 | − | 1.08185i | −0.0401728 | − | 0.134186i | ||||
\(66\) | −5.80504 | − | 4.93582i | −0.714551 | − | 0.607558i | ||||
\(67\) | −0.221954 | − | 3.81081i | −0.0271160 | − | 0.465564i | −0.984347 | − | 0.176240i | \(-0.943606\pi\) |
0.957231 | − | 0.289324i | \(-0.0934305\pi\) | |||||||
\(68\) | 5.49578 | − | 3.61463i | 0.666461 | − | 0.438338i | ||||
\(69\) | 2.55049 | − | 4.35184i | 0.307042 | − | 0.523900i | ||||
\(70\) | 3.35678 | + | 0.795571i | 0.401212 | + | 0.0950889i | ||||
\(71\) | 1.34489 | + | 7.62726i | 0.159609 | + | 0.905189i | 0.954450 | + | 0.298371i | \(0.0964433\pi\) |
−0.794841 | + | 0.606818i | \(0.792446\pi\) | |||||||
\(72\) | 2.66312 | + | 1.38122i | 0.313852 | + | 0.162778i | ||||
\(73\) | 1.74940 | − | 9.92135i | 0.204752 | − | 1.16121i | −0.693078 | − | 0.720863i | \(-0.743746\pi\) |
0.897830 | − | 0.440343i | \(-0.145143\pi\) | |||||||
\(74\) | −1.81573 | + | 4.20933i | −0.211074 | + | 0.489325i | ||||
\(75\) | −0.0324209 | − | 0.627002i | −0.00374364 | − | 0.0723999i | ||||
\(76\) | −2.06330 | + | 6.89189i | −0.236676 | + | 0.790554i | ||||
\(77\) | 3.91361 | − | 5.25689i | 0.445997 | − | 0.599078i | ||||
\(78\) | 0.839570 | − | 0.0925906i | 0.0950626 | − | 0.0104838i | ||||
\(79\) | 15.0035 | − | 7.53506i | 1.68803 | − | 0.847761i | 0.696550 | − | 0.717509i | \(-0.254718\pi\) |
0.991481 | − | 0.130252i | \(-0.0415787\pi\) | |||||||
\(80\) | −2.31570 | −0.258904 | ||||||||
\(81\) | −7.38795 | − | 5.13986i | −0.820884 | − | 0.571096i | ||||
\(82\) | −7.87604 | −0.869763 | ||||||||
\(83\) | −4.65331 | + | 2.33698i | −0.510767 | + | 0.256517i | −0.685465 | − | 0.728105i | \(-0.740401\pi\) |
0.174698 | + | 0.984622i | \(0.444105\pi\) | |||||||
\(84\) | −1.03741 | + | 2.36255i | −0.113191 | + | 0.257775i | ||||
\(85\) | 9.09624 | − | 12.2184i | 0.986625 | − | 1.32527i | ||||
\(86\) | −0.127229 | + | 0.424975i | −0.0137195 | + | 0.0458262i | ||||
\(87\) | 9.57211 | − | 6.20670i | 1.02624 | − | 0.665428i | ||||
\(88\) | −1.74246 | + | 4.03949i | −0.185747 | + | 0.430611i | ||||
\(89\) | −0.537926 | + | 3.05073i | −0.0570200 | + | 0.323377i | −0.999954 | − | 0.00960343i | \(-0.996943\pi\) |
0.942934 | + | 0.332980i | \(0.108054\pi\) | |||||||
\(90\) | 6.88904 | + | 0.896360i | 0.726169 | + | 0.0944847i | ||||
\(91\) | 0.126153 | + | 0.715451i | 0.0132245 | + | 0.0749996i | ||||
\(92\) | −2.83374 | − | 0.671609i | −0.295438 | − | 0.0700201i | ||||
\(93\) | −1.53448 | − | 2.69824i | −0.159118 | − | 0.279795i | ||||
\(94\) | 6.53459 | − | 4.29787i | 0.673991 | − | 0.443291i | ||||
\(95\) | 0.968660 | + | 16.6313i | 0.0993825 | + | 1.70633i | ||||
\(96\) | 0.311875 | − | 1.70374i | 0.0318306 | − | 0.173887i | ||||
\(97\) | 0.403864 | + | 1.34900i | 0.0410062 | + | 0.136970i | 0.976042 | − | 0.217584i | \(-0.0698177\pi\) |
−0.935035 | + | 0.354555i | \(0.884633\pi\) | |||||||
\(98\) | 4.49240 | + | 1.63510i | 0.453801 | + | 0.165170i | ||||
\(99\) | 6.74730 | − | 11.3427i | 0.678129 | − | 1.13998i | ||||
\(100\) | −0.340623 | + | 0.123977i | −0.0340623 | + | 0.0123977i | ||||
\(101\) | −6.00167 | − | 8.06164i | −0.597188 | − | 0.802163i | 0.396053 | − | 0.918228i | \(-0.370380\pi\) |
−0.993242 | + | 0.116064i | \(0.962972\pi\) | |||||||
\(102\) | 7.76440 | + | 8.33796i | 0.768790 | + | 0.825581i | ||||
\(103\) | −1.63242 | + | 0.386890i | −0.160847 | + | 0.0381214i | −0.310250 | − | 0.950655i | \(-0.600413\pi\) |
0.149403 | + | 0.988776i | \(0.452265\pi\) | |||||||
\(104\) | −0.193154 | − | 0.447782i | −0.0189403 | − | 0.0439086i | ||||
\(105\) | −0.386285 | + | 5.96267i | −0.0376976 | + | 0.581897i | ||||
\(106\) | 1.64481 | + | 1.08181i | 0.159758 | + | 0.105074i | ||||
\(107\) | −6.16214 | + | 10.6731i | −0.595717 | + | 1.03181i | 0.397728 | + | 0.917503i | \(0.369799\pi\) |
−0.993445 | + | 0.114309i | \(0.963535\pi\) | |||||||
\(108\) | −1.58729 | + | 4.94778i | −0.152737 | + | 0.476100i | ||||
\(109\) | 9.54562 | + | 16.5335i | 0.914305 | + | 1.58362i | 0.807916 | + | 0.589298i | \(0.200595\pi\) |
0.106389 | + | 0.994325i | \(0.466071\pi\) | |||||||
\(110\) | −0.592346 | + | 10.1702i | −0.0564779 | + | 0.969689i | ||||
\(111\) | −7.71403 | − | 1.88143i | −0.732183 | − | 0.178577i | ||||
\(112\) | 1.47965 | + | 0.172947i | 0.139814 | + | 0.0163419i | ||||
\(113\) | −5.52918 | − | 5.86059i | −0.520142 | − | 0.551318i | 0.413045 | − | 0.910711i | \(-0.364465\pi\) |
−0.933186 | + | 0.359393i | \(0.882984\pi\) | |||||||
\(114\) | −12.3666 | − | 1.52720i | −1.15824 | − | 0.143035i | ||||
\(115\) | −6.69829 | + | 0.782918i | −0.624619 | + | 0.0730075i | ||||
\(116\) | −5.04560 | − | 4.23376i | −0.468472 | − | 0.393095i | ||||
\(117\) | 0.401292 | + | 1.40688i | 0.0370995 | + | 0.130066i | ||||
\(118\) | 9.73395 | − | 8.16776i | 0.896083 | − | 0.751903i | ||||
\(119\) | −6.72470 | + | 7.12777i | −0.616452 | + | 0.653401i | ||||
\(120\) | −0.670736 | − | 3.95444i | −0.0612295 | − | 0.360989i | ||||
\(121\) | 7.46507 | + | 3.74910i | 0.678643 | + | 0.340827i | ||||
\(122\) | 6.89187 | + | 3.46123i | 0.623961 | + | 0.313365i | ||||
\(123\) | −2.28127 | − | 13.4496i | −0.205695 | − | 1.21271i | ||||
\(124\) | −1.22983 | + | 1.30355i | −0.110442 | + | 0.117062i | ||||
\(125\) | 8.22664 | − | 6.90297i | 0.735813 | − | 0.617420i | ||||
\(126\) | −4.33491 | − | 1.08725i | −0.386185 | − | 0.0968596i | ||||
\(127\) | 14.4311 | + | 12.1091i | 1.28055 | + | 1.07451i | 0.993168 | + | 0.116693i | \(0.0372293\pi\) |
0.287382 | + | 0.957816i | \(0.407215\pi\) | |||||||
\(128\) | −0.993238 | + | 0.116093i | −0.0877907 | + | 0.0102613i | ||||
\(129\) | −0.762564 | − | 0.0941715i | −0.0671400 | − | 0.00829134i | ||||
\(130\) | −0.774964 | − | 0.821414i | −0.0679689 | − | 0.0720428i | ||||
\(131\) | −13.3322 | − | 1.55832i | −1.16484 | − | 0.136151i | −0.488383 | − | 0.872629i | \(-0.662413\pi\) |
−0.676461 | + | 0.736479i | \(0.736487\pi\) | |||||||
\(132\) | −7.40277 | − | 1.80551i | −0.644328 | − | 0.157150i | ||||
\(133\) | 0.623154 | − | 10.6991i | 0.0540343 | − | 0.927733i | ||||
\(134\) | −1.90863 | − | 3.30585i | −0.164881 | − | 0.285582i | ||||
\(135\) | 0.464710 | + | 12.0238i | 0.0399958 | + | 1.03484i | ||||
\(136\) | 3.28896 | − | 5.69665i | 0.282026 | − | 0.488484i | ||||
\(137\) | 4.42901 | + | 2.91301i | 0.378396 | + | 0.248875i | 0.724432 | − | 0.689346i | \(-0.242102\pi\) |
−0.346036 | + | 0.938221i | \(0.612472\pi\) | |||||||
\(138\) | 0.326096 | − | 5.03360i | 0.0277592 | − | 0.428488i | ||||
\(139\) | −7.14865 | − | 16.5724i | −0.606340 | − | 1.40565i | −0.894063 | − | 0.447941i | \(-0.852157\pi\) |
0.287723 | − | 0.957714i | \(-0.407102\pi\) | |||||||
\(140\) | 3.35678 | − | 0.795571i | 0.283700 | − | 0.0672380i | ||||
\(141\) | 9.23202 | + | 9.91400i | 0.777476 | + | 0.834909i | ||||
\(142\) | 4.62495 | + | 6.21238i | 0.388117 | + | 0.521332i | ||||
\(143\) | −2.01599 | + | 0.733761i | −0.168586 | + | 0.0613601i | ||||
\(144\) | 2.99975 | + | 0.0390942i | 0.249979 | + | 0.00325785i | ||||
\(145\) | −14.3327 | − | 5.21667i | −1.19026 | − | 0.433221i | ||||
\(146\) | −2.88937 | − | 9.65117i | −0.239126 | − | 0.798737i | ||||
\(147\) | −1.49099 | + | 8.14510i | −0.122975 | + | 0.671796i | ||||
\(148\) | 0.266550 | + | 4.57649i | 0.0219103 | + | 0.376185i | ||||
\(149\) | −14.7989 | + | 9.73339i | −1.21237 | + | 0.797390i | −0.984343 | − | 0.176264i | \(-0.943599\pi\) |
−0.228030 | + | 0.973654i | \(0.573229\pi\) | |||||||
\(150\) | −0.310370 | − | 0.545759i | −0.0253416 | − | 0.0445610i | ||||
\(151\) | −2.32779 | − | 0.551696i | −0.189433 | − | 0.0448964i | 0.134804 | − | 0.990872i | \(-0.456959\pi\) |
−0.324237 | + | 0.945976i | \(0.605108\pi\) | |||||||
\(152\) | 1.24925 | + | 7.08482i | 0.101327 | + | 0.574655i | ||||
\(153\) | −11.9895 | + | 15.6740i | −0.969291 | + | 1.26717i | ||||
\(154\) | 1.13804 | − | 6.45415i | 0.0917060 | − | 0.520091i | ||||
\(155\) | −1.64374 | + | 3.81063i | −0.132029 | + | 0.306077i | ||||
\(156\) | 0.708713 | − | 0.459540i | 0.0567424 | − | 0.0367927i | ||||
\(157\) | 2.97910 | − | 9.95089i | 0.237758 | − | 0.794167i | −0.752940 | − | 0.658089i | \(-0.771365\pi\) |
0.990698 | − | 0.136078i | \(-0.0434498\pi\) | |||||||
\(158\) | 10.0259 | − | 13.4672i | 0.797620 | − | 1.07139i | ||||
\(159\) | −1.37095 | + | 3.12212i | −0.108723 | + | 0.247600i | ||||
\(160\) | −2.06939 | + | 1.03929i | −0.163600 | + | 0.0821628i | ||||
\(161\) | 4.33845 | 0.341917 | ||||||||
\(162\) | −8.90888 | − | 1.27744i | −0.699948 | − | 0.100365i | ||||
\(163\) | −6.60659 | −0.517468 | −0.258734 | − | 0.965949i | \(-0.583305\pi\) | ||||
−0.258734 | + | 0.965949i | \(0.583305\pi\) | |||||||
\(164\) | −7.03828 | + | 3.53476i | −0.549598 | + | 0.276018i | ||||
\(165\) | −17.5388 | + | 1.93424i | −1.36539 | + | 0.150580i | ||||
\(166\) | −3.10951 | + | 4.17680i | −0.241345 | + | 0.324183i | ||||
\(167\) | 1.98331 | − | 6.62473i | 0.153473 | − | 0.512637i | −0.846326 | − | 0.532665i | \(-0.821190\pi\) |
0.999799 | + | 0.0200284i | \(0.00637567\pi\) | |||||||
\(168\) | 0.133243 | + | 2.57684i | 0.0102799 | + | 0.198808i | ||||
\(169\) | −5.05484 | + | 11.7184i | −0.388834 | + | 0.901419i | ||||
\(170\) | 2.64510 | − | 15.0011i | 0.202870 | − | 1.15053i | ||||
\(171\) | −0.974023 | − | 21.5604i | −0.0744854 | − | 1.64876i | ||||
\(172\) | 0.0770323 | + | 0.436872i | 0.00587365 | + | 0.0333112i | ||||
\(173\) | −12.3276 | − | 2.92169i | −0.937249 | − | 0.222132i | −0.266516 | − | 0.963831i | \(-0.585872\pi\) |
−0.670734 | + | 0.741698i | \(0.734021\pi\) | |||||||
\(174\) | 5.76838 | − | 9.84247i | 0.437300 | − | 0.746155i | ||||
\(175\) | 0.451164 | − | 0.296735i | 0.0341048 | − | 0.0224311i | ||||
\(176\) | 0.255795 | + | 4.39183i | 0.0192813 | + | 0.331047i | ||||
\(177\) | 16.7672 | + | 14.2565i | 1.26030 | + | 1.07159i | ||||
\(178\) | 0.888457 | + | 2.96765i | 0.0665926 | + | 0.222435i | ||||
\(179\) | −0.951462 | − | 0.346304i | −0.0711156 | − | 0.0258840i | 0.306217 | − | 0.951962i | \(-0.400937\pi\) |
−0.377333 | + | 0.926078i | \(0.623159\pi\) | |||||||
\(180\) | 6.55856 | − | 2.29078i | 0.488846 | − | 0.170745i | ||||
\(181\) | 14.7137 | − | 5.35534i | 1.09366 | − | 0.398059i | 0.268684 | − | 0.963228i | \(-0.413411\pi\) |
0.824975 | + | 0.565169i | \(0.191189\pi\) | |||||||
\(182\) | 0.433828 | + | 0.582733i | 0.0321575 | + | 0.0431950i | ||||
\(183\) | −3.91439 | + | 12.7715i | −0.289360 | + | 0.944097i | ||||
\(184\) | −2.83374 | + | 0.671609i | −0.208906 | + | 0.0495117i | ||||
\(185\) | 4.20469 | + | 9.74756i | 0.309135 | + | 0.716655i | ||||
\(186\) | −2.58223 | − | 1.72257i | −0.189338 | − | 0.126305i | ||||
\(187\) | −24.1774 | − | 15.9018i | −1.76803 | − | 1.16285i | ||||
\(188\) | 3.91064 | − | 6.77343i | 0.285213 | − | 0.494003i | ||||
\(189\) | 0.601054 | − | 7.71748i | 0.0437203 | − | 0.561364i | ||||
\(190\) | 8.32972 | + | 14.4275i | 0.604301 | + | 1.04668i | ||||
\(191\) | −0.257431 | + | 4.41992i | −0.0186271 | + | 0.319814i | 0.976105 | + | 0.217301i | \(0.0697254\pi\) |
−0.994732 | + | 0.102513i | \(0.967312\pi\) | |||||||
\(192\) | −0.485936 | − | 1.66249i | −0.0350694 | − | 0.119980i | ||||
\(193\) | −18.8735 | − | 2.20600i | −1.35855 | − | 0.158791i | −0.594574 | − | 0.804041i | \(-0.702679\pi\) |
−0.763972 | + | 0.645250i | \(0.776753\pi\) | |||||||
\(194\) | 0.966336 | + | 1.02426i | 0.0693789 | + | 0.0735373i | ||||
\(195\) | 1.17823 | − | 1.56130i | 0.0843748 | − | 0.111807i | ||||
\(196\) | 4.74839 | − | 0.555007i | 0.339171 | − | 0.0396433i | ||||
\(197\) | −17.3672 | − | 14.5728i | −1.23736 | − | 1.03827i | −0.997726 | − | 0.0674075i | \(-0.978527\pi\) |
−0.239637 | − | 0.970863i | \(-0.577028\pi\) | |||||||
\(198\) | 0.939015 | − | 13.1644i | 0.0667329 | − | 0.935552i | ||||
\(199\) | −2.88695 | + | 2.42244i | −0.204650 | + | 0.171722i | −0.739352 | − | 0.673319i | \(-0.764868\pi\) |
0.534702 | + | 0.845041i | \(0.320424\pi\) | |||||||
\(200\) | −0.248751 | + | 0.263661i | −0.0175894 | + | 0.0186436i | ||||
\(201\) | 5.09244 | − | 4.21683i | 0.359193 | − | 0.297432i | ||||
\(202\) | −8.98134 | − | 4.51060i | −0.631925 | − | 0.317365i | ||||
\(203\) | 8.76848 | + | 4.40370i | 0.615427 | + | 0.309079i | ||||
\(204\) | 10.6806 | + | 3.96642i | 0.747791 | + | 0.277705i | ||||
\(205\) | −12.5161 | + | 13.2663i | −0.874160 | + | 0.926555i | ||||
\(206\) | −1.28515 | + | 1.07837i | −0.0895403 | + | 0.0751333i | ||||
\(207\) | 8.69013 | − | 0.901104i | 0.604006 | − | 0.0626311i | ||||
\(208\) | −0.373573 | − | 0.313465i | −0.0259026 | − | 0.0217349i | ||||
\(209\) | 31.4349 | − | 3.67421i | 2.17440 | − | 0.254151i | ||||
\(210\) | 2.33085 | + | 5.50180i | 0.160844 | + | 0.379660i | ||||
\(211\) | 9.04987 | + | 9.59230i | 0.623019 | + | 0.660361i | 0.959624 | − | 0.281284i | \(-0.0907604\pi\) |
−0.336606 | + | 0.941646i | \(0.609279\pi\) | |||||||
\(212\) | 1.95537 | + | 0.228550i | 0.134295 | + | 0.0156969i | ||||
\(213\) | −9.26904 | + | 9.69724i | −0.635104 | + | 0.664444i | ||||
\(214\) | −0.716594 | + | 12.3034i | −0.0489853 | + | 0.841046i | ||||
\(215\) | 0.513636 | + | 0.889644i | 0.0350297 | + | 0.0606732i | ||||
\(216\) | 0.802107 | + | 5.13387i | 0.0545765 | + | 0.349316i | ||||
\(217\) | 1.33489 | − | 2.31210i | 0.0906182 | − | 0.156955i | ||||
\(218\) | 15.9505 | + | 10.4908i | 1.08030 | + | 0.710527i | ||||
\(219\) | 15.6440 | − | 7.72950i | 1.05713 | − | 0.522311i | ||||
\(220\) | 4.03503 | + | 9.35425i | 0.272042 | + | 0.630663i | ||||
\(221\) | 3.12136 | − | 0.739775i | 0.209965 | − | 0.0497627i | ||||
\(222\) | −7.73789 | + | 1.78074i | −0.519333 | + | 0.119516i | ||||
\(223\) | −4.24353 | − | 5.70006i | −0.284168 | − | 0.381704i | 0.637003 | − | 0.770861i | \(-0.280174\pi\) |
−0.921171 | + | 0.389157i | \(0.872766\pi\) | |||||||
\(224\) | 1.39989 | − | 0.509517i | 0.0935338 | − | 0.0340435i | ||||
\(225\) | 0.842073 | − | 0.688084i | 0.0561382 | − | 0.0458723i | ||||
\(226\) | −7.57128 | − | 2.75572i | −0.503634 | − | 0.183308i | ||||
\(227\) | 0.642640 | + | 2.14657i | 0.0426535 | + | 0.142473i | 0.976664 | − | 0.214773i | \(-0.0689011\pi\) |
−0.934011 | + | 0.357246i | \(0.883716\pi\) | |||||||
\(228\) | −11.7366 | + | 4.18538i | −0.777277 | + | 0.277184i | ||||
\(229\) | 0.903744 | + | 15.5167i | 0.0597211 | + | 1.02537i | 0.886466 | + | 0.462794i | \(0.153153\pi\) |
−0.826745 | + | 0.562577i | \(0.809810\pi\) | |||||||
\(230\) | −5.63444 | + | 3.70583i | −0.371524 | + | 0.244355i | ||||
\(231\) | 11.3511 | + | 0.0739637i | 0.746850 | + | 0.00486645i | ||||
\(232\) | −6.40902 | − | 1.51897i | −0.420773 | − | 0.0997250i | ||||
\(233\) | 1.36995 | + | 7.76937i | 0.0897483 | + | 0.508988i | 0.996231 | + | 0.0867442i | \(0.0276463\pi\) |
−0.906482 | + | 0.422244i | \(0.861243\pi\) | |||||||
\(234\) | 0.990016 | + | 1.07714i | 0.0647193 | + | 0.0704146i | ||||
\(235\) | 3.14508 | − | 17.8366i | 0.205162 | − | 1.16353i | ||||
\(236\) | 5.03290 | − | 11.6676i | 0.327614 | − | 0.759494i | ||||
\(237\) | 25.9013 | + | 13.2202i | 1.68247 | + | 0.858742i | ||||
\(238\) | −2.81048 | + | 9.38764i | −0.182176 | + | 0.608511i | ||||
\(239\) | 3.07871 | − | 4.13542i | 0.199145 | − | 0.267498i | −0.691321 | − | 0.722548i | \(-0.742971\pi\) |
0.890466 | + | 0.455049i | \(0.150378\pi\) | |||||||
\(240\) | −2.37414 | − | 3.23279i | −0.153250 | − | 0.208676i | ||||
\(241\) | −1.85788 | + | 0.933061i | −0.119676 | + | 0.0601038i | −0.507630 | − | 0.861575i | \(-0.669478\pi\) |
0.387954 | + | 0.921679i | \(0.373182\pi\) | |||||||
\(242\) | 8.35362 | 0.536991 | ||||||||
\(243\) | −0.398994 | − | 15.5834i | −0.0255955 | − | 0.999672i | ||||
\(244\) | 7.71220 | 0.493723 | ||||||||
\(245\) | 9.89315 | − | 4.96853i | 0.632050 | − | 0.317428i | ||||
\(246\) | −8.07478 | − | 10.9952i | −0.514829 | − | 0.701026i | ||||
\(247\) | −2.09502 | + | 2.81410i | −0.133303 | + | 0.179057i | ||||
\(248\) | −0.513987 | + | 1.71684i | −0.0326382 | + | 0.109019i | ||||
\(249\) | −8.03322 | − | 4.10020i | −0.509085 | − | 0.259839i | ||||
\(250\) | 4.25355 | − | 9.86083i | 0.269018 | − | 0.623654i | ||||
\(251\) | 3.84832 | − | 21.8249i | 0.242904 | − | 1.37757i | −0.582408 | − | 0.812897i | \(-0.697889\pi\) |
0.825311 | − | 0.564678i | \(-0.191000\pi\) | |||||||
\(252\) | −4.36178 | + | 0.973907i | −0.274766 | + | 0.0613504i | ||||
\(253\) | 2.22474 | + | 12.6171i | 0.139868 | + | 0.793231i | ||||
\(254\) | 18.3306 | + | 4.34444i | 1.15017 | + | 0.272594i | ||||
\(255\) | 26.3830 | + | 0.171911i | 1.65216 | + | 0.0107655i | ||||
\(256\) | −0.835488 | + | 0.549509i | −0.0522180 | + | 0.0343443i | ||||
\(257\) | −0.653529 | − | 11.2207i | −0.0407660 | − | 0.699925i | −0.955340 | − | 0.295507i | \(-0.904511\pi\) |
0.914574 | − | 0.404418i | \(-0.132526\pi\) | |||||||
\(258\) | −0.723716 | + | 0.258083i | −0.0450566 | + | 0.0160676i | ||||
\(259\) | −1.95866 | − | 6.54238i | −0.121705 | − | 0.406524i | ||||
\(260\) | −1.06118 | − | 0.386239i | −0.0658118 | − | 0.0239535i | ||||
\(261\) | 18.4784 | + | 6.99960i | 1.14378 | + | 0.433265i | ||||
\(262\) | −12.6135 | + | 4.59094i | −0.779264 | + | 0.283629i | ||||
\(263\) | 0.769213 | + | 1.03323i | 0.0474317 | + | 0.0637118i | 0.825206 | − | 0.564832i | \(-0.191059\pi\) |
−0.777775 | + | 0.628543i | \(0.783651\pi\) | |||||||
\(264\) | −7.42567 | + | 1.70889i | −0.457018 | + | 0.105175i | ||||
\(265\) | 4.43599 | − | 1.05135i | 0.272501 | − | 0.0645839i | ||||
\(266\) | −4.24489 | − | 9.84077i | −0.260271 | − | 0.603376i | ||||
\(267\) | −4.81040 | + | 2.37675i | −0.294392 | + | 0.145455i | ||||
\(268\) | −3.18928 | − | 2.09762i | −0.194816 | − | 0.128133i | ||||
\(269\) | −8.37641 | + | 14.5084i | −0.510719 | + | 0.884591i | 0.489204 | + | 0.872169i | \(0.337287\pi\) |
−0.999923 | + | 0.0124213i | \(0.996046\pi\) | |||||||
\(270\) | 5.81154 | + | 10.5363i | 0.353679 | + | 0.641217i | ||||
\(271\) | −13.9516 | − | 24.1649i | −0.847502 | − | 1.46792i | −0.883431 | − | 0.468562i | \(-0.844772\pi\) |
0.0359290 | − | 0.999354i | \(-0.488561\pi\) | |||||||
\(272\) | 0.382472 | − | 6.56680i | 0.0231908 | − | 0.398171i | ||||
\(273\) | −0.869453 | + | 0.909618i | −0.0526217 | + | 0.0550526i | ||||
\(274\) | 5.26526 | + | 0.615421i | 0.318086 | + | 0.0371790i | ||||
\(275\) | 1.09432 | + | 1.15992i | 0.0659902 | + | 0.0699456i | ||||
\(276\) | −1.96766 | − | 4.64454i | −0.118439 | − | 0.279568i | ||||
\(277\) | 3.12877 | − | 0.365701i | 0.187990 | − | 0.0219728i | −0.0215771 | − | 0.999767i | \(-0.506869\pi\) |
0.209567 | + | 0.977794i | \(0.432795\pi\) | |||||||
\(278\) | −13.8260 | − | 11.6014i | −0.829226 | − | 0.695803i | ||||
\(279\) | 2.19363 | − | 4.90851i | 0.131329 | − | 0.293865i | ||||
\(280\) | 2.64267 | − | 2.21747i | 0.157930 | − | 0.132519i | ||||
\(281\) | −0.756901 | + | 0.802268i | −0.0451529 | + | 0.0478593i | −0.749556 | − | 0.661941i | \(-0.769733\pi\) |
0.704403 | + | 0.709800i | \(0.251215\pi\) | |||||||
\(282\) | 12.6994 | + | 4.71615i | 0.756240 | + | 0.280842i | ||||
\(283\) | 28.2064 | + | 14.1658i | 1.67670 | + | 0.842068i | 0.993754 | + | 0.111595i | \(0.0355959\pi\) |
0.682941 | + | 0.730473i | \(0.260700\pi\) | |||||||
\(284\) | 6.92112 | + | 3.47592i | 0.410693 | + | 0.206258i | ||||
\(285\) | −22.2246 | + | 18.4032i | −1.31647 | + | 1.09011i | ||||
\(286\) | −1.47224 | + | 1.56049i | −0.0870556 | + | 0.0922736i | ||||
\(287\) | 8.98811 | − | 7.54192i | 0.530551 | − | 0.445186i | ||||
\(288\) | 2.69822 | − | 1.31135i | 0.158994 | − | 0.0772719i | ||||
\(289\) | 20.1233 | + | 16.8855i | 1.18372 | + | 0.993263i | ||||
\(290\) | −15.1494 | + | 1.77071i | −0.889603 | + | 0.103980i | ||||
\(291\) | −1.46919 | + | 1.94685i | −0.0861252 | + | 0.114126i | ||||
\(292\) | −6.91347 | − | 7.32785i | −0.404580 | − | 0.428830i | ||||
\(293\) | −28.2115 | − | 3.29745i | −1.64813 | − | 0.192639i | −0.759258 | − | 0.650790i | \(-0.774438\pi\) |
−0.888874 | + | 0.458151i | \(0.848512\pi\) | |||||||
\(294\) | 2.32312 | + | 7.94788i | 0.135487 | + | 0.463530i | ||||
\(295\) | 1.71092 | − | 29.3753i | 0.0996135 | − | 1.71030i | ||||
\(296\) | 2.29212 | + | 3.97008i | 0.133227 | + | 0.230756i | ||||
\(297\) | 22.7523 | − | 2.20950i | 1.32022 | − | 0.128208i | ||||
\(298\) | −8.85644 | + | 15.3398i | −0.513040 | + | 0.888611i | ||||
\(299\) | −1.18656 | − | 0.780412i | −0.0686204 | − | 0.0451324i | ||||
\(300\) | −0.522293 | − | 0.348414i | −0.0301546 | − | 0.0201157i | ||||
\(301\) | −0.261753 | − | 0.606812i | −0.0150872 | − | 0.0349761i | ||||
\(302\) | −2.32779 | + | 0.551696i | −0.133949 | + | 0.0317465i | ||||
\(303\) | 5.10116 | − | 16.6436i | 0.293054 | − | 0.956148i | ||||
\(304\) | 4.29603 | + | 5.77057i | 0.246394 | + | 0.330965i | ||||
\(305\) | 16.7821 | − | 6.10819i | 0.960942 | − | 0.349754i | ||||
\(306\) | −3.67970 | + | 19.3877i | −0.210354 | + | 1.10832i | ||||
\(307\) | −28.0570 | − | 10.2119i | −1.60130 | − | 0.582824i | −0.621604 | − | 0.783332i | \(-0.713519\pi\) |
−0.979692 | + | 0.200507i | \(0.935741\pi\) | |||||||
\(308\) | −1.87963 | − | 6.27839i | −0.107102 | − | 0.357745i | ||||
\(309\) | −2.21372 | − | 1.88225i | −0.125934 | − | 0.107077i | ||||
\(310\) | 0.241303 | + | 4.14301i | 0.0137051 | + | 0.235307i | ||||
\(311\) | 1.52200 | − | 1.00103i | 0.0863046 | − | 0.0567634i | −0.505623 | − | 0.862754i | \(-0.668737\pi\) |
0.591928 | + | 0.805991i | \(0.298367\pi\) | |||||||
\(312\) | 0.427088 | − | 0.728730i | 0.0241791 | − | 0.0412562i | ||||
\(313\) | −4.20142 | − | 0.995754i | −0.237478 | − | 0.0562833i | 0.110153 | − | 0.993915i | \(-0.464866\pi\) |
−0.347631 | + | 0.937631i | \(0.613014\pi\) | |||||||
\(314\) | −1.80373 | − | 10.2295i | −0.101790 | − | 0.577282i | ||||
\(315\) | −8.72009 | + | 5.57387i | −0.491321 | + | 0.314052i | ||||
\(316\) | 2.91545 | − | 16.5343i | 0.164007 | − | 0.930128i | ||||
\(317\) | 12.9195 | − | 29.9507i | 0.725630 | − | 1.68220i | −0.00552184 | − | 0.999985i | \(-0.501758\pi\) |
0.731152 | − | 0.682215i | \(-0.238983\pi\) | |||||||
\(318\) | 0.176081 | + | 3.40530i | 0.00987411 | + | 0.190960i | ||||
\(319\) | −8.31044 | + | 27.7588i | −0.465295 | + | 1.55419i | ||||
\(320\) | −1.38284 | + | 1.85748i | −0.0773032 | + | 0.103836i | ||||
\(321\) | −21.2177 | + | 2.33995i | −1.18425 | + | 0.130603i | ||||
\(322\) | 3.87698 | − | 1.94709i | 0.216055 | − | 0.108507i | ||||
\(323\) | −47.3224 | −2.63309 | ||||||||
\(324\) | −8.53458 | + | 2.85674i | −0.474143 | + | 0.158708i | ||||
\(325\) | −0.176770 | −0.00980546 | ||||||||
\(326\) | −5.90386 | + | 2.96503i | −0.326985 | + | 0.164218i | ||||
\(327\) | −13.2947 | + | 30.2767i | −0.735200 | + | 1.67430i | ||||
\(328\) | −4.70324 | + | 6.31755i | −0.259693 | + | 0.348828i | ||||
\(329\) | −3.34171 | + | 11.1621i | −0.184234 | + | 0.615386i | ||||
\(330\) | −14.8052 | + | 9.59989i | −0.814997 | + | 0.528457i | ||||
\(331\) | −3.78788 | + | 8.78130i | −0.208201 | + | 0.482664i | −0.990035 | − | 0.140823i | \(-0.955025\pi\) |
0.781834 | + | 0.623487i | \(0.214284\pi\) | |||||||
\(332\) | −0.904218 | + | 5.12807i | −0.0496254 | + | 0.281440i | ||||
\(333\) | −5.28216 | − | 12.6979i | −0.289461 | − | 0.695841i | ||||
\(334\) | −1.20082 | − | 6.81018i | −0.0657059 | − | 0.372637i | ||||
\(335\) | −8.60138 | − | 2.03856i | −0.469944 | − | 0.111379i | ||||
\(336\) | 1.27555 | + | 2.24295i | 0.0695872 | + | 0.122363i | ||||
\(337\) | −13.9009 | + | 9.14276i | −0.757230 | + | 0.498038i | −0.868461 | − | 0.495757i | \(-0.834891\pi\) |
0.111232 | + | 0.993794i | \(0.464520\pi\) | |||||||
\(338\) | 0.742055 | + | 12.7406i | 0.0403625 | + | 0.692997i | ||||
\(339\) | 2.51284 | − | 13.7274i | 0.136479 | − | 0.745568i | ||||
\(340\) | −4.36874 | − | 14.5926i | −0.236928 | − | 0.791395i | ||||
\(341\) | 7.40859 | + | 2.69651i | 0.401198 | + | 0.146024i | ||||
\(342\) | −10.5467 | − | 18.8299i | −0.570300 | − | 1.01820i | ||||
\(343\) | −16.4917 | + | 6.00247i | −0.890465 | + | 0.324103i | ||||
\(344\) | 0.264906 | + | 0.355831i | 0.0142828 | + | 0.0191851i | ||||
\(345\) | −7.96029 | − | 8.54832i | −0.428568 | − | 0.460226i | ||||
\(346\) | −12.3276 | + | 2.92169i | −0.662735 | + | 0.157071i | ||||
\(347\) | 9.89690 | + | 22.9436i | 0.531294 | + | 1.23168i | 0.946722 | + | 0.322051i | \(0.104372\pi\) |
−0.415429 | + | 0.909626i | \(0.636368\pi\) | |||||||
\(348\) | 0.737526 | − | 11.3844i | 0.0395355 | − | 0.610268i | ||||
\(349\) | 17.1526 | + | 11.2815i | 0.918160 | + | 0.603884i | 0.918200 | − | 0.396116i | \(-0.129642\pi\) |
−3.99838e−5 | 1.00000i | \(0.500013\pi\) | ||||||||
\(350\) | 0.270001 | − | 0.467655i | 0.0144321 | − | 0.0249972i | ||||
\(351\) | −1.55263 | + | 2.00260i | −0.0828732 | + | 0.106891i | ||||
\(352\) | 2.19964 | + | 3.80988i | 0.117241 | + | 0.203067i | ||||
\(353\) | −1.05164 | + | 18.0559i | −0.0559731 | + | 0.961021i | 0.847073 | + | 0.531477i | \(0.178363\pi\) |
−0.903046 | + | 0.429544i | \(0.858674\pi\) | |||||||
\(354\) | 21.3820 | + | 5.21501i | 1.13644 | + | 0.277174i | ||||
\(355\) | 17.8137 | + | 2.08212i | 0.945452 | + | 0.110507i | ||||
\(356\) | 2.12583 | + | 2.25325i | 0.112669 | + | 0.119422i | ||||
\(357\) | −16.8450 | − | 2.08024i | −0.891530 | − | 0.110098i | ||||
\(358\) | −1.00568 | + | 0.117547i | −0.0531518 | + | 0.00621255i | ||||
\(359\) | 23.7236 | + | 19.9065i | 1.25209 | + | 1.05062i | 0.996479 | + | 0.0838438i | \(0.0267197\pi\) |
0.255607 | + | 0.966781i | \(0.417725\pi\) | |||||||
\(360\) | 4.83284 | − | 4.99059i | 0.254713 | − | 0.263027i | ||||
\(361\) | 25.0920 | − | 21.0547i | 1.32063 | − | 1.10814i | ||||
\(362\) | 10.7452 | − | 11.3892i | 0.564753 | − | 0.598603i | ||||
\(363\) | 2.41960 | + | 14.2651i | 0.126996 | + | 0.748726i | ||||
\(364\) | 0.649213 | + | 0.326047i | 0.0340280 | + | 0.0170895i | ||||
\(365\) | −20.8479 | − | 10.4702i | −1.09123 | − | 0.548034i | ||||
\(366\) | 2.23381 | + | 13.1698i | 0.116763 | + | 0.688397i | ||||
\(367\) | −5.49865 | + | 5.82823i | −0.287027 | + | 0.304231i | −0.854803 | − | 0.518952i | \(-0.826322\pi\) |
0.567776 | + | 0.823183i | \(0.307804\pi\) | |||||||
\(368\) | −2.23091 | + | 1.87195i | −0.116294 | + | 0.0975823i | ||||
\(369\) | 16.4372 | − | 16.9737i | 0.855685 | − | 0.883616i | ||||
\(370\) | 8.13214 | + | 6.82368i | 0.422770 | + | 0.354746i | ||||
\(371\) | −2.91296 | + | 0.340477i | −0.151234 | + | 0.0176767i | ||||
\(372\) | −3.08065 | − | 0.380440i | −0.159724 | − | 0.0197249i | ||||
\(373\) | −15.3339 | − | 16.2530i | −0.793962 | − | 0.841550i | 0.196332 | − | 0.980537i | \(-0.437097\pi\) |
−0.990294 | + | 0.138987i | \(0.955615\pi\) | |||||||
\(374\) | −28.7424 | − | 3.35951i | −1.48624 | − | 0.173716i | ||||
\(375\) | 18.0710 | + | 4.40746i | 0.933181 | + | 0.227600i | ||||
\(376\) | 0.454767 | − | 7.80805i | 0.0234528 | − | 0.402670i | ||||
\(377\) | −1.60602 | − | 2.78170i | −0.0827141 | − | 0.143265i | ||||
\(378\) | −2.92648 | − | 7.16634i | −0.150522 | − | 0.368597i | ||||
\(379\) | 10.1868 | − | 17.6441i | 0.523262 | − | 0.906317i | −0.476371 | − | 0.879244i | \(-0.658048\pi\) |
0.999633 | − | 0.0270727i | \(-0.00861857\pi\) | |||||||
\(380\) | 13.9188 | + | 9.15451i | 0.714017 | + | 0.469617i | ||||
\(381\) | −2.10942 | + | 32.5608i | −0.108069 | + | 1.66814i | ||||
\(382\) | 1.75361 | + | 4.06532i | 0.0897224 | + | 0.208000i | ||||
\(383\) | 2.46010 | − | 0.583054i | 0.125705 | − | 0.0297927i | −0.167282 | − | 0.985909i | \(-0.553499\pi\) |
0.292987 | + | 0.956116i | \(0.405351\pi\) | |||||||
\(384\) | −1.18037 | − | 1.26757i | −0.0602356 | − | 0.0646852i | ||||
\(385\) | −9.06276 | − | 12.1734i | −0.461881 | − | 0.620414i | ||||
\(386\) | −17.8560 | + | 6.49907i | −0.908848 | + | 0.330794i | ||||
\(387\) | −0.650341 | − | 1.16111i | −0.0330587 | − | 0.0590225i | ||||
\(388\) | 1.32323 | + | 0.481618i | 0.0671771 | + | 0.0244505i | ||||
\(389\) | 4.54869 | + | 15.1937i | 0.230628 | + | 0.770350i | 0.992459 | + | 0.122575i | \(0.0391152\pi\) |
−0.761832 | + | 0.647775i | \(0.775700\pi\) | |||||||
\(390\) | 0.352197 | − | 1.92401i | 0.0178342 | − | 0.0974262i | ||||
\(391\) | −1.11385 | − | 19.1241i | −0.0563299 | − | 0.967148i | ||||
\(392\) | 3.99423 | − | 2.62704i | 0.201739 | − | 0.132686i | ||||
\(393\) | −11.4932 | − | 20.2098i | −0.579756 | − | 1.01945i | ||||
\(394\) | −22.0602 | − | 5.22836i | −1.11138 | − | 0.263401i | ||||
\(395\) | −6.75131 | − | 38.2886i | −0.339695 | − | 1.92651i | ||||
\(396\) | −5.06903 | − | 12.1855i | −0.254728 | − | 0.612347i | ||||
\(397\) | 5.19212 | − | 29.4460i | 0.260585 | − | 1.47785i | −0.520734 | − | 0.853719i | \(-0.674341\pi\) |
0.781319 | − | 0.624132i | \(-0.214547\pi\) | |||||||
\(398\) | −1.49268 | + | 3.46043i | −0.0748214 | + | 0.173456i | ||||
\(399\) | 15.5752 | − | 10.0992i | 0.779734 | − | 0.505592i | ||||
\(400\) | −0.103961 | + | 0.347255i | −0.00519807 | + | 0.0173628i | ||||
\(401\) | −5.58127 | + | 7.49695i | −0.278715 | + | 0.374380i | −0.919333 | − | 0.393480i | \(-0.871271\pi\) |
0.640618 | + | 0.767860i | \(0.278678\pi\) | |||||||
\(402\) | 2.65826 | − | 6.05378i | 0.132582 | − | 0.301935i | ||||
\(403\) | −0.780997 | + | 0.392231i | −0.0389042 | + | 0.0195384i | ||||
\(404\) | −10.0504 | −0.500025 | ||||||||
\(405\) | −16.3091 | + | 12.9759i | −0.810405 | + | 0.644779i | ||||
\(406\) | 9.81218 | 0.486970 | ||||||||
\(407\) | 18.0222 | − | 9.05110i | 0.893328 | − | 0.448646i | ||||
\(408\) | 11.3246 | − | 1.24892i | 0.560654 | − | 0.0618307i | ||||
\(409\) | −0.379338 | + | 0.509540i | −0.0187571 | + | 0.0251951i | −0.811403 | − | 0.584487i | \(-0.801296\pi\) |
0.792646 | + | 0.609683i | \(0.208703\pi\) | |||||||
\(410\) | −5.23088 | + | 17.4724i | −0.258335 | + | 0.862898i | ||||
\(411\) | 0.474136 | + | 9.16954i | 0.0233874 | + | 0.452300i | ||||
\(412\) | −0.664479 | + | 1.54043i | −0.0327365 | + | 0.0758918i | ||||
\(413\) | −3.28709 | + | 18.6420i | −0.161747 | + | 0.917315i | ||||
\(414\) | 7.36137 | − | 4.70538i | 0.361792 | − | 0.231257i | ||||
\(415\) | 2.09390 | + | 11.8751i | 0.102786 | + | 0.582926i | ||||
\(416\) | −0.474520 | − | 0.112463i | −0.0232653 | − | 0.00551397i | ||||
\(417\) | 15.8065 | − | 26.9703i | 0.774049 | − | 1.32074i | ||||
\(418\) | 26.4423 | − | 17.3914i | 1.29333 | − | 0.850639i | ||||
\(419\) | 0.398563 | + | 6.84305i | 0.0194711 | + | 0.334305i | 0.993951 | + | 0.109829i | \(0.0350302\pi\) |
−0.974479 | + | 0.224477i | \(0.927933\pi\) | |||||||
\(420\) | 4.55212 | + | 3.87051i | 0.222121 | + | 0.188862i | ||||
\(421\) | 6.42595 | + | 21.4642i | 0.313182 | + | 1.04610i | 0.959188 | + | 0.282768i | \(0.0912526\pi\) |
−0.646007 | + | 0.763332i | \(0.723562\pi\) | |||||||
\(422\) | 12.3923 | + | 4.51042i | 0.603247 | + | 0.219564i | ||||
\(423\) | −4.37523 | + | 23.0523i | −0.212731 | + | 1.12084i | ||||
\(424\) | 1.84995 | − | 0.673328i | 0.0898417 | − | 0.0326997i | ||||
\(425\) | −1.42386 | − | 1.91257i | −0.0690673 | − | 0.0927734i | ||||
\(426\) | −3.93101 | + | 12.8257i | −0.190458 | + | 0.621408i | ||||
\(427\) | −11.1794 | + | 2.64956i | −0.541008 | + | 0.128221i | ||||
\(428\) | 4.88140 | + | 11.3164i | 0.235951 | + | 0.546997i | ||||
\(429\) | −3.09121 | − | 2.06210i | −0.149245 | − | 0.0995593i | ||||
\(430\) | 0.858273 | + | 0.564495i | 0.0413896 | + | 0.0272224i | ||||
\(431\) | 7.62700 | − | 13.2103i | 0.367379 | − | 0.636320i | −0.621776 | − | 0.783196i | \(-0.713588\pi\) |
0.989155 | + | 0.146876i | \(0.0469217\pi\) | |||||||
\(432\) | 3.02087 | + | 4.22781i | 0.145341 | + | 0.203411i | ||||
\(433\) | 8.83327 | + | 15.2997i | 0.424500 | + | 0.735255i | 0.996374 | − | 0.0850866i | \(-0.0271167\pi\) |
−0.571874 | + | 0.820342i | \(0.693783\pi\) | |||||||
\(434\) | 0.155234 | − | 2.66526i | 0.00745146 | − | 0.127937i | ||||
\(435\) | −7.41174 | − | 25.3571i | −0.355366 | − | 1.21578i | ||||
\(436\) | 18.9622 | + | 2.21636i | 0.908123 | + | 0.106144i | ||||
\(437\) | 14.3775 | + | 15.2392i | 0.687767 | + | 0.728990i | ||||
\(438\) | 10.5110 | − | 13.9284i | 0.502236 | − | 0.665523i | ||||
\(439\) | 23.6609 | − | 2.76556i | 1.12927 | − | 0.131993i | 0.469127 | − | 0.883131i | \(-0.344569\pi\) |
0.660146 | + | 0.751137i | \(0.270494\pi\) | |||||||
\(440\) | 7.80401 | + | 6.54835i | 0.372042 | + | 0.312180i | ||||
\(441\) | −12.8994 | + | 6.26918i | −0.614257 | + | 0.298532i | ||||
\(442\) | 2.45734 | − | 2.06195i | 0.116884 | − | 0.0980770i | ||||
\(443\) | 10.1320 | − | 10.7393i | 0.481385 | − | 0.510239i | −0.440473 | − | 0.897766i | \(-0.645189\pi\) |
0.921858 | + | 0.387527i | \(0.126671\pi\) | |||||||
\(444\) | −6.11564 | + | 5.06409i | −0.290235 | + | 0.240331i | ||||
\(445\) | 6.41053 | + | 3.21949i | 0.303888 | + | 0.152619i | ||||
\(446\) | −6.35034 | − | 3.18926i | −0.300697 | − | 0.151016i | ||||
\(447\) | −28.7604 | − | 10.6807i | −1.36032 | − | 0.505179i | ||||
\(448\) | 1.02231 | − | 1.08359i | 0.0482997 | − | 0.0511947i | ||||
\(449\) | −8.26585 | + | 6.93587i | −0.390090 | + | 0.327324i | −0.816648 | − | 0.577136i | \(-0.804170\pi\) |
0.426558 | + | 0.904460i | \(0.359726\pi\) | |||||||
\(450\) | 0.443692 | − | 0.992816i | 0.0209159 | − | 0.0468018i | ||||
\(451\) | 26.5426 | + | 22.2719i | 1.24984 | + | 1.04874i | ||||
\(452\) | −8.00271 | + | 0.935383i | −0.376416 | + | 0.0439967i | ||||
\(453\) | −1.61635 | − | 3.81527i | −0.0759425 | − | 0.179257i | ||||
\(454\) | 1.53766 | + | 1.62983i | 0.0721660 | + | 0.0764915i | ||||
\(455\) | 1.67096 | + | 0.195307i | 0.0783356 | + | 0.00915612i | ||||
\(456\) | −8.60984 | + | 9.00758i | −0.403193 | + | 0.421819i | ||||
\(457\) | −1.75430 | + | 30.1202i | −0.0820627 | + | 1.40896i | 0.666305 | + | 0.745679i | \(0.267875\pi\) |
−0.748368 | + | 0.663284i | \(0.769162\pi\) | |||||||
\(458\) | 7.77149 | + | 13.4606i | 0.363138 | + | 0.628974i | ||||
\(459\) | −34.1734 | − | 0.668094i | −1.59508 | − | 0.0311840i | ||||
\(460\) | −3.37194 | + | 5.84038i | −0.157218 | + | 0.272309i | ||||
\(461\) | −16.9882 | − | 11.1733i | −0.791219 | − | 0.520393i | 0.0883926 | − | 0.996086i | \(-0.471827\pi\) |
−0.879611 | + | 0.475693i | \(0.842197\pi\) | |||||||
\(462\) | 10.1769 | − | 5.02828i | 0.473474 | − | 0.233937i | ||||
\(463\) | 8.36162 | + | 19.3844i | 0.388597 | + | 0.900870i | 0.994442 | + | 0.105287i | \(0.0335760\pi\) |
−0.605845 | + | 0.795583i | \(0.707165\pi\) | |||||||
\(464\) | −6.40902 | + | 1.51897i | −0.297531 | + | 0.0705162i | ||||
\(465\) | −7.00496 | + | 1.61207i | −0.324847 | + | 0.0747581i | ||||
\(466\) | 4.71112 | + | 6.32813i | 0.218238 | + | 0.293145i | ||||
\(467\) | 16.2329 | − | 5.90831i | 0.751171 | − | 0.273404i | 0.0620726 | − | 0.998072i | \(-0.480229\pi\) |
0.689098 | + | 0.724668i | \(0.258007\pi\) | |||||||
\(468\) | 1.36813 | + | 0.518246i | 0.0632418 | + | 0.0239559i | ||||
\(469\) | 5.34374 | + | 1.94496i | 0.246751 | + | 0.0898099i | ||||
\(470\) | −5.19452 | − | 17.3509i | −0.239605 | − | 0.800337i | ||||
\(471\) | 16.9460 | − | 6.04309i | 0.780830 | − | 0.278451i | ||||
\(472\) | −0.738833 | − | 12.6853i | −0.0340076 | − | 0.583887i | ||||
\(473\) | 1.63051 | − | 1.07240i | 0.0749710 | − | 0.0493092i | ||||
\(474\) | 29.0795 | + | 0.189481i | 1.33566 | + | 0.00870314i | ||||
\(475\) | 2.53745 | + | 0.601388i | 0.116426 | + | 0.0275936i | ||||
\(476\) | 1.70163 | + | 9.65044i | 0.0779943 | + | 0.442327i | ||||
\(477\) | −5.76410 | + | 1.28702i | −0.263920 | + | 0.0589287i | ||||
\(478\) | 0.895260 | − | 5.07727i | 0.0409482 | − | 0.232229i | ||||
\(479\) | −8.46394 | + | 19.6216i | −0.386727 | + | 0.896534i | 0.607996 | + | 0.793940i | \(0.291974\pi\) |
−0.994723 | + | 0.102594i | \(0.967286\pi\) | |||||||
\(480\) | −3.57248 | − | 1.82341i | −0.163061 | − | 0.0832270i | ||||
\(481\) | −0.641171 | + | 2.14166i | −0.0292349 | + | 0.0976513i | ||||
\(482\) | −1.24150 | + | 1.66763i | −0.0565489 | + | 0.0759584i | ||||
\(483\) | 4.44792 | + | 6.05659i | 0.202388 | + | 0.275584i | ||||
\(484\) | 7.46507 | − | 3.74910i | 0.339321 | − | 0.170414i | ||||
\(485\) | 3.26087 | 0.148069 | ||||||||
\(486\) | −7.35035 | − | 13.7467i | −0.333419 | − | 0.623564i | ||||
\(487\) | −11.1991 | −0.507482 | −0.253741 | − | 0.967272i | \(-0.581661\pi\) | ||||
−0.253741 | + | 0.967272i | \(0.581661\pi\) | |||||||
\(488\) | 6.89187 | − | 3.46123i | 0.311980 | − | 0.156682i | ||||
\(489\) | −6.77330 | − | 9.22298i | −0.306299 | − | 0.417078i | ||||
\(490\) | 6.61097 | − | 8.88008i | 0.298653 | − | 0.401161i | ||||
\(491\) | −2.57840 | + | 8.61245i | −0.116361 | + | 0.388674i | −0.996252 | − | 0.0865028i | \(-0.972431\pi\) |
0.879890 | + | 0.475177i | \(0.157616\pi\) | |||||||
\(492\) | −12.1505 | − | 6.20168i | −0.547787 | − | 0.279594i | ||||
\(493\) | 17.1605 | − | 39.7826i | 0.772871 | − | 1.79172i | ||||
\(494\) | −0.609213 | + | 3.45502i | −0.0274098 | + | 0.155449i | ||||
\(495\) | −20.6816 | − | 22.5016i | −0.929570 | − | 1.01137i | ||||
\(496\) | 0.311199 | + | 1.76490i | 0.0139733 | + | 0.0792463i | ||||
\(497\) | −11.2268 | − | 2.66081i | −0.503592 | − | 0.119353i | ||||
\(498\) | −9.01891 | − | 0.0587670i | −0.404147 | − | 0.00263341i | ||||
\(499\) | −1.29086 | + | 0.849012i | −0.0577868 | + | 0.0380070i | −0.578074 | − | 0.815985i | \(-0.696195\pi\) |
0.520287 | + | 0.853992i | \(0.325825\pi\) | |||||||
\(500\) | −0.624424 | − | 10.7209i | −0.0279251 | − | 0.479455i | ||||
\(501\) | 11.2817 | − | 4.02314i | 0.504028 | − | 0.179741i | ||||
\(502\) | −6.35601 | − | 21.2306i | −0.283683 | − | 0.947566i | ||||
\(503\) | −8.36142 | − | 3.04331i | −0.372817 | − | 0.135694i | 0.148815 | − | 0.988865i | \(-0.452454\pi\) |
−0.521632 | + | 0.853171i | \(0.674676\pi\) | |||||||
\(504\) | −3.46074 | + | 2.82788i | −0.154153 | + | 0.125964i | ||||
\(505\) | −21.8701 | + | 7.96007i | −0.973207 | + | 0.354219i | ||||
\(506\) | 7.65065 | + | 10.2766i | 0.340113 | + | 0.456851i | ||||
\(507\) | −21.5417 | + | 4.95745i | −0.956699 | + | 0.220168i | ||||
\(508\) | 18.3306 | − | 4.34444i | 0.813290 | − | 0.192753i | ||||
\(509\) | 5.04282 | + | 11.6906i | 0.223519 | + | 0.518176i | 0.992665 | − | 0.120898i | \(-0.0385773\pi\) |
−0.769146 | + | 0.639073i | \(0.779318\pi\) | |||||||
\(510\) | 23.6538 | − | 11.6870i | 1.04741 | − | 0.517510i | ||||
\(511\) | 12.5391 | + | 8.24709i | 0.554697 | + | 0.364830i | ||||
\(512\) | −0.500000 | + | 0.866025i | −0.0220971 | + | 0.0382733i | ||||
\(513\) | 29.1003 | − | 23.4642i | 1.28481 | − | 1.03597i | ||||
\(514\) | −5.61983 | − | 9.73384i | −0.247880 | − | 0.429341i | ||||
\(515\) | −0.225888 | + | 3.87834i | −0.00995380 | + | 0.170900i | ||||
\(516\) | −0.530909 | + | 0.555435i | −0.0233720 | + | 0.0244517i | ||||
\(517\) | −34.1753 | − | 3.99452i | −1.50303 | − | 0.175679i | ||||
\(518\) | −4.68654 | − | 4.96744i | −0.205915 | − | 0.218257i | ||||
\(519\) | −8.55991 | − | 20.2051i | −0.375738 | − | 0.886905i | ||||
\(520\) | −1.12165 | + | 0.131102i | −0.0491877 | + | 0.00574922i | ||||
\(521\) | 13.0420 | + | 10.9435i | 0.571380 | + | 0.479445i | 0.882104 | − | 0.471056i | \(-0.156127\pi\) |
−0.310724 | + | 0.950500i | \(0.600571\pi\) | |||||||
\(522\) | 19.6543 | − | 2.03801i | 0.860245 | − | 0.0892013i | ||||
\(523\) | −12.6277 | + | 10.5959i | −0.552172 | + | 0.463327i | −0.875676 | − | 0.482900i | \(-0.839584\pi\) |
0.323504 | + | 0.946227i | \(0.395139\pi\) | |||||||
\(524\) | −9.21142 | + | 9.76354i | −0.402403 | + | 0.426522i | ||||
\(525\) | 0.876800 | + | 0.325615i | 0.0382667 | + | 0.0142110i | ||||
\(526\) | 1.15111 | + | 0.578108i | 0.0501907 | + | 0.0252067i | ||||
\(527\) | −10.5346 | − | 5.29066i | −0.458893 | − | 0.230465i | ||||
\(528\) | −5.86887 | + | 4.85975i | −0.255410 | + | 0.211494i | ||||
\(529\) | 9.96344 | − | 10.5606i | 0.433193 | − | 0.459158i | ||||
\(530\) | 3.49230 | − | 2.93039i | 0.151696 | − | 0.127288i | ||||
\(531\) | −2.71223 | + | 38.0237i | −0.117701 | + | 1.65009i | ||||
\(532\) | −8.20991 | − | 6.88893i | −0.355945 | − | 0.298673i | ||||
\(533\) | −3.81490 | + | 0.445898i | −0.165242 | + | 0.0193140i | ||||
\(534\) | −3.23205 | + | 4.28285i | −0.139864 | + | 0.185337i | ||||
\(535\) | 19.5849 | + | 20.7588i | 0.846730 | + | 0.897482i | ||||
\(536\) | −3.79145 | − | 0.443157i | −0.163766 | − | 0.0191415i | ||||
\(537\) | −0.492022 | − | 1.68331i | −0.0212323 | − | 0.0726402i | ||||
\(538\) | −0.974090 | + | 16.7245i | −0.0419960 | + | 0.721043i | ||||
\(539\) | −10.5158 | − | 18.2140i | −0.452949 | − | 0.784531i | ||||
\(540\) | 9.92205 | + | 6.80734i | 0.426977 | + | 0.292941i | ||||
\(541\) | 22.2115 | − | 38.4714i | 0.954947 | − | 1.65402i | 0.220457 | − | 0.975397i | \(-0.429245\pi\) |
0.734490 | − | 0.678620i | \(-0.237422\pi\) | |||||||
\(542\) | −23.3128 | − | 15.3331i | −1.00137 | − | 0.658613i | ||||
\(543\) | 22.5612 | + | 15.0502i | 0.968193 | + | 0.645867i | ||||
\(544\) | −2.60538 | − | 6.03996i | −0.111705 | − | 0.258961i | ||||
\(545\) | 43.0180 | − | 10.1954i | 1.84269 | − | 0.436725i | ||||
\(546\) | −0.368735 | + | 1.20307i | −0.0157804 | + | 0.0514868i | ||||
\(547\) | 7.39145 | + | 9.92844i | 0.316036 | + | 0.424509i | 0.931548 | − | 0.363617i | \(-0.118458\pi\) |
−0.615513 | + | 0.788127i | \(0.711051\pi\) | |||||||
\(548\) | 4.98141 | − | 1.81309i | 0.212795 | − | 0.0774512i | ||||
\(549\) | −21.8426 | + | 7.62919i | −0.932218 | + | 0.325606i | ||||
\(550\) | 1.49849 | + | 0.545407i | 0.0638960 | + | 0.0232562i | ||||
\(551\) | 13.5900 | + | 45.3938i | 0.578954 | + | 1.93384i | ||||
\(552\) | −3.84284 | − | 3.26743i | −0.163562 | − | 0.139071i | ||||
\(553\) | 1.45430 | + | 24.9693i | 0.0618429 | + | 1.06180i | ||||
\(554\) | 2.63185 | − | 1.73099i | 0.111816 | − | 0.0735428i | ||||
\(555\) | −9.29708 | + | 15.8634i | −0.394639 | + | 0.673364i | ||||
\(556\) | −17.5620 | − | 4.16227i | −0.744795 | − | 0.176520i | ||||
\(557\) | 1.00425 | + | 5.69536i | 0.0425512 | + | 0.241320i | 0.998664 | − | 0.0516799i | \(-0.0164575\pi\) |
−0.956112 | + | 0.293000i | \(0.905346\pi\) | |||||||
\(558\) | −0.242639 | − | 5.37090i | −0.0102717 | − | 0.227368i | ||||
\(559\) | −0.0375659 | + | 0.213047i | −0.00158887 | + | 0.00901093i | ||||
\(560\) | 1.36638 | − | 3.16763i | 0.0577402 | − | 0.133857i | ||||
\(561\) | −2.58825 | − | 50.0554i | −0.109276 | − | 2.11334i | ||||
\(562\) | −0.316334 | + | 1.05663i | −0.0133438 | + | 0.0445712i | ||||
\(563\) | −0.346453 | + | 0.465367i | −0.0146013 | + | 0.0196129i | −0.809364 | − | 0.587308i | \(-0.800188\pi\) |
0.794763 | + | 0.606920i | \(0.207595\pi\) | |||||||
\(564\) | 13.4652 | − | 1.48499i | 0.566988 | − | 0.0625293i | ||||
\(565\) | −16.6735 | + | 8.37373i | −0.701458 | + | 0.352285i | ||||
\(566\) | 31.5637 | 1.32672 | ||||||||
\(567\) | 11.3900 | − | 7.07314i | 0.478337 | − | 0.297044i | ||||
\(568\) | 7.74492 | 0.324970 | ||||||||
\(569\) | −6.61617 | + | 3.32276i | −0.277364 | + | 0.139298i | −0.582044 | − | 0.813157i | \(-0.697747\pi\) |
0.304680 | + | 0.952455i | \(0.401451\pi\) | |||||||
\(570\) | −11.6013 | + | 26.4201i | −0.485924 | + | 1.10662i | ||||
\(571\) | −13.5093 | + | 18.1461i | −0.565346 | + | 0.759391i | −0.989237 | − | 0.146322i | \(-0.953256\pi\) |
0.423891 | + | 0.905713i | \(0.360664\pi\) | |||||||
\(572\) | −0.615300 | + | 2.05524i | −0.0257270 | + | 0.0859341i | ||||
\(573\) | −6.43426 | + | 4.17208i | −0.268795 | + | 0.174291i | ||||
\(574\) | 4.64726 | − | 10.7736i | 0.193973 | − | 0.449680i | ||||
\(575\) | −0.183310 | + | 1.03960i | −0.00764455 | + | 0.0433544i | ||||
\(576\) | 1.82268 | − | 2.38282i | 0.0759451 | − | 0.0992842i | ||||
\(577\) | 2.27449 | + | 12.8993i | 0.0946884 | + | 0.537004i | 0.994842 | + | 0.101433i | \(0.0323427\pi\) |
−0.900154 | + | 0.435572i | \(0.856546\pi\) | |||||||
\(578\) | 25.5610 | + | 6.05808i | 1.06320 | + | 0.251983i | ||||
\(579\) | −16.2701 | − | 28.6096i | −0.676164 | − | 1.18898i | ||||
\(580\) | −12.7433 | + | 8.38140i | −0.529137 | + | 0.348019i | ||||
\(581\) | −0.451046 | − | 7.74416i | −0.0187125 | − | 0.321282i | ||||
\(582\) | −0.439169 | + | 2.39913i | −0.0182042 | + | 0.0994473i | ||||
\(583\) | −2.48393 | − | 8.29692i | −0.102874 | − | 0.343623i | ||||
\(584\) | −9.46684 | − | 3.44565i | −0.391741 | − | 0.142582i | ||||
\(585\) | 3.38758 | + | 0.0441486i | 0.140059 | + | 0.00182532i | ||||
\(586\) | −26.6906 | + | 9.71458i | −1.10258 | + | 0.401306i | ||||
\(587\) | 16.7999 | + | 22.5661i | 0.693404 | + | 0.931403i | 0.999790 | − | 0.0205040i | \(-0.00652710\pi\) |
−0.306386 | + | 0.951907i | \(0.599120\pi\) | |||||||
\(588\) | 5.64302 | + | 6.05987i | 0.232714 | + | 0.249905i | ||||
\(589\) | 12.5452 | − | 2.97328i | 0.516917 | − | 0.122512i | ||||
\(590\) | −11.6547 | − | 27.0186i | −0.479816 | − | 1.11234i | ||||
\(591\) | 2.53860 | − | 39.1857i | 0.104424 | − | 1.61188i | ||||
\(592\) | 3.83008 | + | 2.51909i | 0.157415 | + | 0.103534i | ||||
\(593\) | −0.451178 | + | 0.781463i | −0.0185276 | + | 0.0320908i | −0.875141 | − | 0.483869i | \(-0.839231\pi\) |
0.856613 | + | 0.515960i | \(0.172565\pi\) | |||||||
\(594\) | 19.3406 | − | 12.1857i | 0.793552 | − | 0.499985i | ||||
\(595\) | 11.3462 | + | 19.6521i | 0.465147 | + | 0.805658i | ||||
\(596\) | −1.02991 | + | 17.6829i | −0.0421869 | + | 0.724321i | ||||
\(597\) | −6.34159 | − | 1.54669i | −0.259544 | − | 0.0633020i | ||||
\(598\) | −1.41060 | − | 0.164875i | −0.0576835 | − | 0.00674224i | ||||
\(599\) | −12.4157 | − | 13.1599i | −0.507292 | − | 0.537698i | 0.422218 | − | 0.906494i | \(-0.361252\pi\) |
−0.929510 | + | 0.368796i | \(0.879770\pi\) | |||||||
\(600\) | −0.623106 | − | 0.0769494i | −0.0254382 | − | 0.00314145i | ||||
\(601\) | −33.5660 | + | 3.92330i | −1.36918 | + | 0.160035i | −0.768704 | − | 0.639605i | \(-0.779098\pi\) |
−0.600480 | + | 0.799640i | \(0.705024\pi\) | |||||||
\(602\) | −0.506248 | − | 0.424792i | −0.0206331 | − | 0.0173132i | ||||
\(603\) | 11.1078 | + | 2.78595i | 0.452343 | + | 0.113453i | ||||
\(604\) | −1.83259 | + | 1.53772i | −0.0745669 | + | 0.0625690i | ||||
\(605\) | 13.2750 | − | 14.0707i | 0.539706 | − | 0.572055i | ||||
\(606\) | −2.91106 | − | 17.1626i | −0.118254 | − | 0.697184i | ||||
\(607\) | −15.0269 | − | 7.54680i | −0.609924 | − | 0.306315i | 0.116895 | − | 0.993144i | \(-0.462706\pi\) |
−0.726819 | + | 0.686829i | \(0.759002\pi\) | |||||||
\(608\) | 6.42890 | + | 3.22871i | 0.260726 | + | 0.130942i | ||||
\(609\) | 2.84207 | + | 16.7559i | 0.115166 | + | 0.678982i | ||||
\(610\) | 12.2557 | − | 12.9903i | 0.496219 | − | 0.525961i | ||||
\(611\) | 2.92182 | − | 2.45170i | 0.118204 | − | 0.0991851i | ||||
\(612\) | 5.41288 | + | 18.9769i | 0.218803 | + | 0.767096i | ||||
\(613\) | 9.62863 | + | 8.07938i | 0.388897 | + | 0.326323i | 0.816183 | − | 0.577793i | \(-0.196086\pi\) |
−0.427287 | + | 0.904116i | \(0.640530\pi\) | |||||||
\(614\) | −29.6557 | + | 3.46626i | −1.19681 | + | 0.139887i | ||||
\(615\) | −31.3520 | − | 3.87176i | −1.26423 | − | 0.156124i | ||||
\(616\) | −4.49744 | − | 4.76700i | −0.181207 | − | 0.192068i | ||||
\(617\) | 19.1926 | + | 2.24329i | 0.772663 | + | 0.0903114i | 0.493283 | − | 0.869869i | \(-0.335797\pi\) |
0.279381 | + | 0.960180i | \(0.409871\pi\) | |||||||
\(618\) | −2.82300 | − | 0.688522i | −0.113558 | − | 0.0276964i | ||||
\(619\) | −0.922443 | + | 15.8377i | −0.0370761 | + | 0.636572i | 0.927672 | + | 0.373397i | \(0.121807\pi\) |
−0.964748 | + | 0.263176i | \(0.915230\pi\) | |||||||
\(620\) | 2.07502 | + | 3.59403i | 0.0833347 | + | 0.144340i | ||||
\(621\) | 10.1674 | + | 11.2078i | 0.408003 | + | 0.449754i | ||||
\(622\) | 0.910844 | − | 1.57763i | 0.0365215 | − | 0.0632571i | ||||
\(623\) | −3.85566 | − | 2.53591i | −0.154474 | − | 0.101599i | ||||
\(624\) | 0.0546060 | − | 0.842894i | 0.00218599 | − | 0.0337428i | ||||
\(625\) | −10.5678 | − | 24.4989i | −0.422713 | − | 0.979958i | ||||
\(626\) | −4.20142 | + | 0.995754i | −0.167922 | + | 0.0397983i | ||||
\(627\) | 37.3574 | + | 40.1171i | 1.49191 | + | 1.60212i | ||||
\(628\) | −6.20284 | − | 8.33186i | −0.247520 | − | 0.332478i | ||||
\(629\) | −28.3363 | + | 10.3136i | −1.12984 | + | 0.411229i | ||||
\(630\) | −5.29101 | + | 8.89456i | −0.210799 | + | 0.354368i | ||||
\(631\) | −17.8744 | − | 6.50576i | −0.711570 | − | 0.258990i | −0.0392270 | − | 0.999230i | \(-0.512490\pi\) |
−0.672343 | + | 0.740240i | \(0.734712\pi\) | |||||||
\(632\) | −4.81525 | − | 16.0841i | −0.191540 | − | 0.639789i | ||||
\(633\) | −4.11288 | + | 22.4682i | −0.163472 | + | 0.893032i | ||||
\(634\) | −1.89659 | − | 32.5632i | −0.0753232 | − | 1.29325i | ||||
\(635\) | 36.4475 | − | 23.9719i | 1.44637 | − | 0.951295i | ||||
\(636\) | 1.68565 | + | 2.96407i | 0.0668403 | + | 0.117533i | ||||
\(637\) | 2.26854 | + | 0.537655i | 0.0898830 | + | 0.0213027i | ||||
\(638\) | 5.03165 | + | 28.5359i | 0.199205 | + | 1.12975i | ||||
\(639\) | −23.0406 | − | 2.99790i | −0.911470 | − | 0.118595i | ||||
\(640\) | −0.402118 | + | 2.28052i | −0.0158951 | + | 0.0901456i | ||||
\(641\) | 3.51399 | − | 8.14633i | 0.138794 | − | 0.321761i | −0.834615 | − | 0.550833i | \(-0.814310\pi\) |
0.973409 | + | 0.229072i | \(0.0735693\pi\) | |||||||
\(642\) | −17.9106 | + | 11.6135i | −0.706876 | + | 0.458349i | ||||
\(643\) | 12.9312 | − | 43.1932i | 0.509957 | − | 1.70337i | −0.183625 | − | 0.982996i | \(-0.558783\pi\) |
0.693582 | − | 0.720378i | \(-0.256031\pi\) | |||||||
\(644\) | 2.59074 | − | 3.47997i | 0.102089 | − | 0.137130i | ||||
\(645\) | −0.715370 | + | 1.62914i | −0.0281677 | + | 0.0641475i | ||||
\(646\) | −42.2888 | + | 21.2382i | −1.66383 | + | 0.835608i | ||||
\(647\) | 3.10784 | 0.122182 | 0.0610909 | − | 0.998132i | \(-0.480542\pi\) | ||||
0.0610909 | + | 0.998132i | \(0.480542\pi\) | |||||||
\(648\) | −6.34468 | + | 6.38318i | −0.249243 | + | 0.250755i | ||||
\(649\) | −55.9006 | −2.19429 | ||||||||
\(650\) | −0.157968 | + | 0.0793344i | −0.00619601 | + | 0.00311175i | ||||
\(651\) | 4.59633 | − | 0.506898i | 0.180144 | − | 0.0198669i | ||||
\(652\) | −3.94518 | + | 5.29930i | −0.154505 | + | 0.207537i | ||||
\(653\) | 11.3354 | − | 37.8629i | 0.443588 | − | 1.48169i | −0.385572 | − | 0.922678i | \(-0.625996\pi\) |
0.829161 | − | 0.559010i | \(-0.188819\pi\) | |||||||
\(654\) | 1.70754 | + | 33.0229i | 0.0667701 | + | 1.29130i | ||||
\(655\) | −12.3116 | + | 28.5416i | −0.481055 | + | 1.11521i | ||||
\(656\) | −1.36766 | + | 7.75638i | −0.0533981 | + | 0.302836i | ||||
\(657\) | 26.8294 | + | 13.9150i | 1.04671 | + | 0.542874i | ||||
\(658\) | 2.02328 | + | 11.4746i | 0.0788755 | + | 0.447325i | ||||
\(659\) | −27.9731 | − | 6.62974i | −1.08968 | − | 0.258258i | −0.353764 | − | 0.935335i | \(-0.615098\pi\) |
−0.735913 | + | 0.677077i | \(0.763247\pi\) | |||||||
\(660\) | −8.92194 | + | 15.2233i | −0.347286 | + | 0.592567i | ||||
\(661\) | 11.3890 | − | 7.49066i | 0.442981 | − | 0.291353i | −0.308357 | − | 0.951271i | \(-0.599779\pi\) |
0.751338 | + | 0.659918i | \(0.229409\pi\) | |||||||
\(662\) | 0.556064 | + | 9.54726i | 0.0216121 | + | 0.371065i | ||||
\(663\) | 4.23287 | + | 3.59906i | 0.164391 | + | 0.139776i | ||||
\(664\) | 1.49344 | + | 4.98843i | 0.0579566 | + | 0.193588i | ||||
\(665\) | −23.3213 | − | 8.48826i | −0.904362 | − | 0.329161i | ||||
\(666\) | −10.4191 | − | 8.97663i | −0.403733 | − | 0.347837i | ||||
\(667\) | −18.0249 | + | 6.56051i | −0.697926 | + | 0.254024i | ||||
\(668\) | −4.12950 | − | 5.54687i | −0.159775 | − | 0.214615i | ||||
\(669\) | 3.60682 | − | 11.7680i | 0.139448 | − | 0.454977i | ||||
\(670\) | −8.60138 | + | 2.03856i | −0.332300 | + | 0.0787566i | ||||
\(671\) | −13.4382 | − | 31.1533i | −0.518777 | − | 1.20266i | ||||
\(672\) | 2.14651 | + | 1.43191i | 0.0828034 | + | 0.0552370i | ||||
\(673\) | 23.5724 | + | 15.5038i | 0.908650 | + | 0.597629i | 0.915487 | − | 0.402348i | \(-0.131806\pi\) |
−0.00683660 | + | 0.999977i | \(0.502176\pi\) | |||||||
\(674\) | −8.31903 | + | 14.4090i | −0.320437 | + | 0.555013i | ||||
\(675\) | 1.82391 | + | 0.470110i | 0.0702022 | + | 0.0180945i | ||||
\(676\) | 6.38109 | + | 11.0524i | 0.245427 | + | 0.425091i | ||||
\(677\) | −0.00439596 | + | 0.0754757i | −0.000168951 | + | 0.00290077i | −0.998392 | − | 0.0566944i | \(-0.981944\pi\) |
0.998223 | + | 0.0595952i | \(0.0189810\pi\) | |||||||
\(678\) | −3.91528 | − | 13.3950i | −0.150365 | − | 0.514431i | ||||
\(679\) | −2.08359 | − | 0.243536i | −0.0799607 | − | 0.00934606i | ||||
\(680\) | −10.4532 | − | 11.0797i | −0.400862 | − | 0.424889i | ||||
\(681\) | −2.33781 | + | 3.09788i | −0.0895851 | + | 0.118711i | ||||
\(682\) | 7.83074 | − | 0.915283i | 0.299855 | − | 0.0350480i | ||||
\(683\) | −14.4335 | − | 12.1112i | −0.552283 | − | 0.463421i | 0.323430 | − | 0.946252i | \(-0.395164\pi\) |
−0.875713 | + | 0.482831i | \(0.839608\pi\) | |||||||
\(684\) | −17.8757 | − | 12.0937i | −0.683495 | − | 0.462413i | ||||
\(685\) | 9.40381 | − | 7.89073i | 0.359301 | − | 0.301489i | ||||
\(686\) | −12.0436 | + | 12.7654i | −0.459826 | + | 0.487387i | ||||
\(687\) | −20.7352 | + | 17.1699i | −0.791097 | + | 0.655073i | ||||
\(688\) | 0.396425 | + | 0.199092i | 0.0151136 | + | 0.00759032i | ||||
\(689\) | 0.857937 | + | 0.430872i | 0.0326848 | + | 0.0164149i | ||||
\(690\) | −10.9501 | − | 4.06649i | −0.416862 | − | 0.154809i | ||||
\(691\) | 16.9118 | − | 17.9255i | 0.643357 | − | 0.681918i | −0.320832 | − | 0.947136i | \(-0.603962\pi\) |
0.964189 | + | 0.265218i | \(0.0854439\pi\) | |||||||
\(692\) | −9.70508 | + | 8.14353i | −0.368932 | + | 0.309571i | ||||
\(693\) | 11.5343 | + | 15.9223i | 0.438153 | + | 0.604839i | ||||
\(694\) | 19.1413 | + | 16.0614i | 0.726592 | + | 0.609683i | ||||
\(695\) | −41.5124 | + | 4.85210i | −1.57465 | + | 0.184051i | ||||
\(696\) | −4.45023 | − | 10.5045i | −0.168686 | − | 0.398171i | ||||
\(697\) | −35.5528 | − | 37.6838i | −1.34666 | − | 1.42737i | ||||
\(698\) | 20.3913 | + | 2.38340i | 0.771821 | + | 0.0902130i | ||||
\(699\) | −9.44173 | + | 9.87791i | −0.357119 | + | 0.373617i | ||||
\(700\) | 0.0313983 | − | 0.539088i | 0.00118674 | − | 0.0203756i | ||||
\(701\) | 1.67068 | + | 2.89370i | 0.0631007 | + | 0.109294i | 0.895850 | − | 0.444357i | \(-0.146568\pi\) |
−0.832749 | + | 0.553650i | \(0.813234\pi\) | |||||||
\(702\) | −0.488715 | + | 2.48641i | −0.0184454 | + | 0.0938434i | ||||
\(703\) | 16.4898 | − | 28.5612i | 0.621925 | − | 1.07721i | ||||
\(704\) | 3.67554 | + | 2.41744i | 0.138527 | + | 0.0911107i | ||||
\(705\) | 28.1249 | − | 13.8961i | 1.05924 | − | 0.523357i | ||||
\(706\) | 7.16371 | + | 16.6074i | 0.269610 | + | 0.625026i | ||||
\(707\) | 14.5687 | − | 3.45285i | 0.547914 | − | 0.129858i | ||||
\(708\) | 21.4481 | − | 4.93593i | 0.806071 | − | 0.185503i | ||||
\(709\) | 6.61150 | + | 8.88078i | 0.248300 | + | 0.333525i | 0.908747 | − | 0.417348i | \(-0.137040\pi\) |
−0.660447 | + | 0.750873i | \(0.729633\pi\) | |||||||
\(710\) | 16.8533 | − | 6.13411i | 0.632495 | − | 0.230209i | ||||
\(711\) | 8.09920 | + | 49.7127i | 0.303744 | + | 1.86437i | ||||
\(712\) | 2.91097 | + | 1.05951i | 0.109093 | + | 0.0397067i | ||||
\(713\) | 1.49686 | + | 4.99985i | 0.0560577 | + | 0.187246i | ||||
\(714\) | −15.9868 | + | 5.70103i | −0.598291 | + | 0.213356i | ||||
\(715\) | 0.288866 | + | 4.95964i | 0.0108030 | + | 0.185480i | ||||
\(716\) | −0.845952 | + | 0.556392i | −0.0316147 | + | 0.0207933i | ||||
\(717\) | 8.92956 | + | 0.0581848i | 0.333481 | + | 0.00217295i | ||||
\(718\) | 30.1342 | + | 7.14194i | 1.12460 | + | 0.266535i | ||||
\(719\) | −5.92011 | − | 33.5746i | −0.220783 | − | 1.25212i | −0.870585 | − | 0.492019i | \(-0.836259\pi\) |
0.649802 | − | 0.760104i | \(-0.274852\pi\) | |||||||
\(720\) | 2.07901 | − | 6.62873i | 0.0774802 | − | 0.247038i | ||||
\(721\) | 0.433986 | − | 2.46125i | 0.0161625 | − | 0.0916619i | ||||
\(722\) | 12.9737 | − | 30.0764i | 0.482832 | − | 1.11933i | ||||
\(723\) | −3.20734 | − | 1.63704i | −0.119282 | − | 0.0608823i | ||||
\(724\) | 4.49076 | − | 15.0002i | 0.166898 | − | 0.557477i | ||||
\(725\) | −1.42573 | + | 1.91508i | −0.0529502 | + | 0.0711244i | ||||
\(726\) | 8.56442 | + | 11.6619i | 0.317855 | + | 0.432813i | ||||
\(727\) | 40.5032 | − | 20.3415i | 1.50218 | − | 0.754423i | 0.507919 | − | 0.861405i | \(-0.330415\pi\) |
0.994261 | + | 0.106981i | \(0.0341185\pi\) | |||||||
\(728\) | 0.726488 | 0.0269254 | ||||||||
\(729\) | 21.3457 | − | 16.5336i | 0.790583 | − | 0.612355i | ||||
\(730\) | −23.3293 | −0.863457 | ||||||||
\(731\) | −2.60766 | + | 1.30961i | −0.0964477 | + | 0.0484379i | ||||
\(732\) | 7.90681 | + | 10.7664i | 0.292244 | + | 0.397939i | ||||
\(733\) | −1.17522 | + | 1.57859i | −0.0434077 | + | 0.0583067i | −0.823297 | − | 0.567611i | \(-0.807868\pi\) |
0.779889 | + | 0.625917i | \(0.215275\pi\) | |||||||
\(734\) | −2.29807 | + | 7.67608i | −0.0848232 | + | 0.283329i | ||||
\(735\) | 17.0790 | + | 8.71721i | 0.629969 | + | 0.321539i | ||||
\(736\) | −1.15348 | + | 2.67407i | −0.0425178 | + | 0.0985674i | ||||
\(737\) | −2.91611 | + | 16.5381i | −0.107416 | + | 0.609188i | ||||
\(738\) | 7.07101 | − | 22.5453i | 0.260288 | − | 0.829902i | ||||
\(739\) | 5.15688 | + | 29.2461i | 0.189699 | + | 1.07584i | 0.919768 | + | 0.392463i | \(0.128377\pi\) |
−0.730069 | + | 0.683373i | \(0.760512\pi\) | |||||||
\(740\) | 10.3296 | + | 2.44816i | 0.379724 | + | 0.0899963i | ||||
\(741\) | −6.07646 | − | 0.0395940i | −0.223224 | − | 0.00145452i | ||||
\(742\) | −2.45031 | + | 1.61160i | −0.0899539 | + | 0.0591636i | ||||
\(743\) | −0.258982 | − | 4.44654i | −0.00950111 | − | 0.163128i | −0.999721 | − | 0.0236135i | \(-0.992483\pi\) |
0.990220 | − | 0.139514i | \(-0.0445541\pi\) | |||||||
\(744\) | −2.92371 | + | 1.04262i | −0.107188 | + | 0.0382243i | ||||
\(745\) | 11.7640 | + | 39.2946i | 0.431001 | + | 1.43964i | ||||
\(746\) | −20.9973 | − | 7.64238i | −0.768765 | − | 0.279807i | ||||
\(747\) | −2.51195 | − | 15.4183i | −0.0919073 | − | 0.564125i | ||||
\(748\) | −27.1929 | + | 9.89742i | −0.994272 | + | 0.361885i | ||||
\(749\) | −10.9637 | − | 14.7268i | −0.400606 | − | 0.538107i | ||||
\(750\) | 18.1269 | − | 4.17159i | 0.661900 | − | 0.152325i | ||||
\(751\) | 12.0048 | − | 2.84520i | 0.438063 | − | 0.103823i | −0.00566597 | − | 0.999984i | \(-0.501804\pi\) |
0.443729 | + | 0.896161i | \(0.353655\pi\) | |||||||
\(752\) | −3.09785 | − | 7.18163i | −0.112967 | − | 0.261887i | ||||
\(753\) | 34.4136 | − | 17.0033i | 1.25410 | − | 0.619634i | ||||
\(754\) | −2.68362 | − | 1.76504i | −0.0977316 | − | 0.0642791i | ||||
\(755\) | −2.76990 | + | 4.79760i | −0.100807 | + | 0.174603i | ||||
\(756\) | −5.83144 | − | 5.09068i | −0.212088 | − | 0.185146i | ||||
\(757\) | −11.3233 | − | 19.6125i | −0.411551 | − | 0.712827i | 0.583509 | − | 0.812107i | \(-0.301679\pi\) |
−0.995060 | + | 0.0992801i | \(0.968346\pi\) | |||||||
\(758\) | 1.18462 | − | 20.3392i | 0.0430275 | − | 0.738753i | ||||
\(759\) | −15.3330 | + | 16.0413i | −0.556551 | + | 0.582262i | ||||
\(760\) | 16.5468 | + | 1.93404i | 0.600215 | + | 0.0701551i | ||||
\(761\) | −7.24273 | − | 7.67684i | −0.262549 | − | 0.278285i | 0.582667 | − | 0.812711i | \(-0.302009\pi\) |
−0.845215 | + | 0.534426i | \(0.820528\pi\) | |||||||
\(762\) | 12.7282 | + | 30.0441i | 0.461095 | + | 1.08838i | ||||
\(763\) | −28.2484 | + | 3.30177i | −1.02266 | + | 0.119532i | ||||
\(764\) | 3.39160 | + | 2.84589i | 0.122704 | + | 0.102961i | ||||
\(765\) | 26.8087 | + | 37.0076i | 0.969272 | + | 1.33801i | ||||
\(766\) | 1.93675 | − | 1.62513i | 0.0699776 | − | 0.0587182i | ||||
\(767\) | 4.25240 | − | 4.50728i | 0.153545 | − | 0.162748i | ||||
\(768\) | −1.62370 | − | 0.602989i | −0.0585903 | − | 0.0217585i | ||||
\(769\) | −36.5243 | − | 18.3432i | −1.31710 | − | 0.661473i | −0.355179 | − | 0.934798i | \(-0.615580\pi\) |
−0.961922 | + | 0.273326i | \(0.911876\pi\) | |||||||
\(770\) | −13.5622 | − | 6.81119i | −0.488747 | − | 0.245458i | ||||
\(771\) | 14.9943 | − | 12.4161i | 0.540007 | − | 0.447156i | ||||
\(772\) | −13.0400 | + | 13.8216i | −0.469319 | + | 0.497449i | ||||
\(773\) | 24.8151 | − | 20.8223i | 0.892537 | − | 0.748928i | −0.0761803 | − | 0.997094i | \(-0.524272\pi\) |
0.968717 | + | 0.248167i | \(0.0798280\pi\) | |||||||
\(774\) | −1.10227 | − | 0.745732i | −0.0396203 | − | 0.0268048i | ||||
\(775\) | 0.497634 | + | 0.417565i | 0.0178756 | + | 0.0149994i | ||||
\(776\) | 1.39864 | − | 0.163477i | 0.0502081 | − | 0.00586848i | ||||
\(777\) | 7.12526 | − | 9.44182i | 0.255617 | − | 0.338723i | ||||
\(778\) | 10.8838 | + | 11.5361i | 0.390202 | + | 0.413590i | ||||
\(779\) | 56.2780 | + | 6.57795i | 2.01637 | + | 0.235680i | ||||
\(780\) | −0.548761 | − | 1.87743i | −0.0196488 | − | 0.0672227i | ||||
\(781\) | 1.98111 | − | 34.0144i | 0.0708898 | − | 1.21713i | ||||
\(782\) | −9.57826 | − | 16.5900i | −0.342518 | − | 0.593258i | ||||
\(783\) | 9.17303 | + | 32.9726i | 0.327817 | + | 1.17834i | ||||
\(784\) | 2.39036 | − | 4.14022i | 0.0853699 | − | 0.147865i | ||||
\(785\) | −20.0967 | − | 13.2178i | −0.717281 | − | 0.471763i | ||||
\(786\) | −19.3409 | − | 12.9020i | −0.689866 | − | 0.460199i | ||||
\(787\) | 4.22566 | + | 9.79619i | 0.150629 | + | 0.349196i | 0.976778 | − | 0.214255i | \(-0.0687324\pi\) |
−0.826149 | + | 0.563452i | \(0.809473\pi\) | |||||||
\(788\) | −22.0602 | + | 5.22836i | −0.785861 | + | 0.186252i | ||||
\(789\) | −0.653797 | + | 2.13315i | −0.0232758 | + | 0.0759421i | ||||
\(790\) | −23.2171 | − | 31.1859i | −0.826026 | − | 1.10955i | ||||
\(791\) | 11.2791 | − | 4.10527i | 0.401040 | − | 0.145967i | ||||
\(792\) | −9.99871 | − | 8.61443i | −0.355289 | − | 0.306100i | ||||
\(793\) | 3.53416 | + | 1.28633i | 0.125502 | + | 0.0456788i | ||||
\(794\) | −8.57548 | − | 28.6441i | −0.304333 | − | 1.01654i | ||||
\(795\) | 6.01565 | + | 5.11489i | 0.213353 | + | 0.181406i | ||||
\(796\) | 0.219127 | + | 3.76227i | 0.00776675 | + | 0.133350i | ||||
\(797\) | 15.7578 | − | 10.3641i | 0.558169 | − | 0.367114i | −0.238860 | − | 0.971054i | \(-0.576774\pi\) |
0.797030 | + | 0.603940i | \(0.206403\pi\) | |||||||
\(798\) | 9.38598 | − | 16.0151i | 0.332260 | − | 0.566928i | ||||
\(799\) | 50.0611 | + | 11.8647i | 1.77103 | + | 0.419743i | ||||
\(800\) | 0.0629446 | + | 0.356976i | 0.00222543 | + | 0.0126210i | ||||
\(801\) | −8.24981 | − | 4.27873i | −0.291493 | − | 0.151181i | ||||
\(802\) | −1.62298 | + | 9.20438i | −0.0573095 | + | 0.325018i | ||||
\(803\) | −17.5543 | + | 40.6954i | −0.619477 | + | 1.43611i | ||||
\(804\) | −0.341420 | − | 6.60288i | −0.0120410 | − | 0.232866i | ||||
\(805\) | 2.88138 | − | 9.62449i | 0.101555 | − | 0.339219i | ||||
\(806\) | −0.521891 | + | 0.701021i | −0.0183828 | + | 0.0246924i | ||||
\(807\) | −28.8419 | + | 3.18078i | −1.01528 | + | 0.111969i | ||||
\(808\) | −8.98134 | + | 4.51060i | −0.315963 | + | 0.158682i | ||||
\(809\) | 42.8188 | 1.50543 | 0.752715 | − | 0.658347i | \(-0.228744\pi\) | ||||
0.752715 | + | 0.658347i | \(0.228744\pi\) | |||||||
\(810\) | −8.75074 | + | 18.9152i | −0.307470 | + | 0.664613i | ||||
\(811\) | 12.5236 | 0.439761 | 0.219881 | − | 0.975527i | \(-0.429433\pi\) | ||||
0.219881 | + | 0.975527i | \(0.429433\pi\) | |||||||
\(812\) | 8.76848 | − | 4.40370i | 0.307713 | − | 0.154540i | ||||
\(813\) | 19.4312 | − | 44.2516i | 0.681483 | − | 1.55197i | ||||
\(814\) | 12.0431 | − | 16.1767i | 0.422111 | − | 0.566994i | ||||
\(815\) | −4.38777 | + | 14.6562i | −0.153697 | + | 0.513384i | ||||
\(816\) | 9.55956 | − | 6.19857i | 0.334652 | − | 0.216993i | ||||
\(817\) | 1.26404 | − | 2.93039i | 0.0442233 | − | 0.102521i | ||||
\(818\) | −0.110308 | + | 0.625588i | −0.00385683 | + | 0.0218732i | ||||
\(819\) | −2.16125 | − | 0.281208i | −0.0755200 | − | 0.00982621i | ||||
\(820\) | 3.16709 | + | 17.9615i | 0.110600 | + | 0.627242i | ||||
\(821\) | 21.5050 | + | 5.09678i | 0.750530 | + | 0.177879i | 0.588041 | − | 0.808831i | \(-0.299899\pi\) |
0.162490 | + | 0.986710i | \(0.448048\pi\) | |||||||
\(822\) | 4.53899 | + | 7.98141i | 0.158315 | + | 0.278384i | ||||
\(823\) | −0.0154692 | + | 0.0101742i | −0.000539222 | + | 0.000354652i | −0.549779 | − | 0.835310i | \(-0.685288\pi\) |
0.549239 | + | 0.835665i | \(0.314918\pi\) | |||||||
\(824\) | 0.0975460 | + | 1.67480i | 0.00339818 | + | 0.0583444i | ||||
\(825\) | −0.497336 | + | 2.71689i | −0.0173150 | + | 0.0945901i | ||||
\(826\) | 5.42908 | + | 18.1344i | 0.188902 | + | 0.630976i | ||||
\(827\) | −5.05612 | − | 1.84028i | −0.175819 | − | 0.0639927i | 0.252611 | − | 0.967568i | \(-0.418711\pi\) |
−0.428429 | + | 0.903575i | \(0.640933\pi\) | |||||||
\(828\) | 4.46659 | − | 7.50866i | 0.155225 | − | 0.260944i | ||||
\(829\) | −21.3345 | + | 7.76512i | −0.740978 | + | 0.269694i | −0.684804 | − | 0.728727i | \(-0.740112\pi\) |
−0.0561737 | + | 0.998421i | \(0.517890\pi\) | |||||||
\(830\) | 7.20071 | + | 9.67224i | 0.249940 | + | 0.335728i | ||||
\(831\) | 3.71825 | + | 3.99292i | 0.128985 | + | 0.138513i | ||||
\(832\) | −0.474520 | + | 0.112463i | −0.0164510 | + | 0.00389896i | ||||
\(833\) | 12.4556 | + | 28.8753i | 0.431561 | + | 1.00047i | ||||
\(834\) | 2.02097 | − | 31.1955i | 0.0699804 | − | 1.08021i | ||||
\(835\) | −13.3792 | − | 8.79964i | −0.463007 | − | 0.304524i | ||||
\(836\) | 15.8244 | − | 27.4087i | 0.547300 | − | 0.947951i | ||||
\(837\) | 9.10139 | − | 1.97001i | 0.314590 | − | 0.0680935i | ||||
\(838\) | 3.42733 | + | 5.93630i | 0.118395 | + | 0.205066i | ||||
\(839\) | 1.28480 | − | 22.0592i | 0.0443564 | − | 0.761569i | −0.900656 | − | 0.434534i | \(-0.856913\pi\) |
0.945012 | − | 0.327036i | \(-0.106050\pi\) | |||||||
\(840\) | 5.80501 | + | 1.41582i | 0.200292 | + | 0.0488506i | ||||
\(841\) | −14.2855 | − | 1.66974i | −0.492605 | − | 0.0575772i | ||||
\(842\) | 15.3755 | + | 16.2971i | 0.529876 | + | 0.561636i | ||||
\(843\) | −1.89599 | − | 0.234142i | −0.0653014 | − | 0.00806428i | ||||
\(844\) | 13.0984 | − | 1.53099i | 0.450866 | − | 0.0526987i | ||||
\(845\) | 22.6392 | + | 18.9966i | 0.778814 | + | 0.653502i | ||||
\(846\) | 6.43602 | + | 22.5639i | 0.221275 | + | 0.775763i | ||||
\(847\) | −9.53313 | + | 7.99924i | −0.327562 | + | 0.274857i | ||||
\(848\) | 1.35099 | − | 1.43197i | 0.0463932 | − | 0.0491739i | ||||
\(849\) | 9.14233 | + | 53.9001i | 0.313764 | + | 1.84985i | ||||
\(850\) | −2.13077 | − | 1.07011i | −0.0730847 | − | 0.0367045i | ||||
\(851\) | 11.9304 | + | 5.99167i | 0.408968 | + | 0.205392i | ||||
\(852\) | 2.24329 | + | 13.2257i | 0.0768539 | + | 0.453105i | ||||
\(853\) | −5.27828 | + | 5.59465i | −0.180725 | + | 0.191557i | −0.811403 | − | 0.584488i | \(-0.801295\pi\) |
0.630678 | + | 0.776045i | \(0.282777\pi\) | |||||||
\(854\) | −8.80114 | + | 7.38503i | −0.301169 | + | 0.252711i | ||||
\(855\) | −48.4768 | − | 12.1585i | −1.65787 | − | 0.415814i | ||||
\(856\) | 9.44095 | + | 7.92190i | 0.322685 | + | 0.270765i | ||||
\(857\) | −17.3892 | + | 2.03251i | −0.594004 | + | 0.0694291i | −0.407783 | − | 0.913079i | \(-0.633698\pi\) |
−0.186221 | + | 0.982508i | \(0.559624\pi\) | |||||||
\(858\) | −3.68788 | − | 0.455428i | −0.125902 | − | 0.0155481i | ||||
\(859\) | −5.20412 | − | 5.51605i | −0.177562 | − | 0.188205i | 0.632480 | − | 0.774577i | \(-0.282037\pi\) |
−0.810042 | + | 0.586372i | \(0.800556\pi\) | |||||||
\(860\) | 1.02033 | + | 0.119259i | 0.0347928 | + | 0.00406670i | ||||
\(861\) | 19.7437 | + | 4.81542i | 0.672862 | + | 0.164109i | ||||
\(862\) | 0.886941 | − | 15.2282i | 0.0302093 | − | 0.518674i | ||||
\(863\) | 13.9025 | + | 24.0798i | 0.473245 | + | 0.819685i | 0.999531 | − | 0.0306232i | \(-0.00974918\pi\) |
−0.526286 | + | 0.850308i | \(0.676416\pi\) | |||||||
\(864\) | 4.59698 | + | 2.42235i | 0.156392 | + | 0.0824099i | ||||
\(865\) | −14.6689 | + | 25.4073i | −0.498758 | + | 0.863875i | ||||
\(866\) | 14.7602 | + | 9.70792i | 0.501571 | + | 0.329888i | ||||
\(867\) | −2.94147 | + | 45.4043i | −0.0998975 | + | 1.54201i | ||||
\(868\) | −1.05745 | − | 2.45143i | −0.0358920 | − | 0.0832071i | ||||
\(869\) | −71.8702 | + | 17.0335i | −2.43803 | + | 0.577824i | ||||
\(870\) | −18.0036 | − | 19.3336i | −0.610381 | − | 0.655470i | ||||
\(871\) | −1.11164 | − | 1.49319i | −0.0376664 | − | 0.0505948i | ||||
\(872\) | 17.9399 | − | 6.52959i | 0.607522 | − | 0.221120i | ||||
\(873\) | −4.22411 | − | 0.0550507i | −0.142965 | − | 0.00186318i | ||||
\(874\) | 19.6875 | + | 7.16567i | 0.665940 | + | 0.242382i | ||||
\(875\) | 4.58838 | + | 15.3263i | 0.155116 | + | 0.518122i | ||||
\(876\) | 3.14196 | − | 17.1642i | 0.106157 | − | 0.579924i | ||||
\(877\) | −2.12328 | − | 36.4552i | −0.0716979 | − | 1.23101i | −0.821836 | − | 0.569725i | \(-0.807050\pi\) |
0.750138 | − | 0.661282i | \(-0.229987\pi\) | |||||||
\(878\) | 19.9030 | − | 13.0904i | 0.671693 | − | 0.441779i | ||||
\(879\) | −24.3200 | − | 42.7647i | −0.820295 | − | 1.44242i | ||||
\(880\) | 9.91281 | + | 2.34938i | 0.334161 | + | 0.0791976i | ||||
\(881\) | 6.68482 | + | 37.9115i | 0.225217 | + | 1.27727i | 0.862269 | + | 0.506450i | \(0.169043\pi\) |
−0.637052 | + | 0.770821i | \(0.719846\pi\) | |||||||
\(882\) | −8.71372 | + | 11.3916i | −0.293406 | + | 0.383574i | ||||
\(883\) | 1.47794 | − | 8.38181i | 0.0497366 | − | 0.282070i | −0.949788 | − | 0.312893i | \(-0.898702\pi\) |
0.999525 | + | 0.0308231i | \(0.00981285\pi\) | |||||||
\(884\) | 1.27055 | − | 2.94548i | 0.0427334 | − | 0.0990671i | ||||
\(885\) | 42.7629 | − | 27.7281i | 1.43746 | − | 0.932071i | ||||
\(886\) | 4.23449 | − | 14.1442i | 0.142261 | − | 0.475184i | ||||
\(887\) | 23.2390 | − | 31.2154i | 0.780289 | − | 1.04811i | −0.217118 | − | 0.976145i | \(-0.569666\pi\) |
0.997407 | − | 0.0719647i | \(-0.0229269\pi\) | |||||||
\(888\) | −3.19237 | + | 7.27013i | −0.107129 | + | 0.243970i | ||||
\(889\) | −25.0790 | + | 12.5951i | −0.841123 | + | 0.422428i | ||||
\(890\) | 7.17357 | 0.240459 | ||||||||
\(891\) | 26.4109 | + | 29.4976i | 0.884800 | + | 0.988205i | ||||
\(892\) | −7.10621 | −0.237933 | ||||||||
\(893\) | −50.2822 | + | 25.2527i | −1.68263 | + | 0.845049i | ||||
\(894\) | −30.4947 | + | 3.36306i | −1.01990 | + | 0.112478i | ||||
\(895\) | −1.40016 | + | 1.88074i | −0.0468023 | + | 0.0628663i | ||||
\(896\) | 0.427259 | − | 1.42714i | 0.0142737 | − | 0.0476775i | ||||
\(897\) | −0.127024 | − | 2.45657i | −0.00424121 | − | 0.0820226i | ||||
\(898\) | −4.27382 | + | 9.90783i | −0.142619 | + | 0.330629i | ||||
\(899\) | −2.04973 | + | 11.6246i | −0.0683624 | + | 0.387703i | ||||
\(900\) | −0.0490772 | − | 1.08634i | −0.00163591 | − | 0.0362114i | ||||
\(901\) | 2.24871 | + | 12.7531i | 0.0749155 | + | 0.424867i | ||||
\(902\) | 33.7149 | + | 7.99058i | 1.12258 | + | 0.266057i | ||||
\(903\) | 0.578768 | − | 0.987539i | 0.0192602 | − | 0.0328632i | ||||
\(904\) | −6.73169 | + | 4.42750i | −0.223893 | + | 0.147256i | ||||
\(905\) | −2.10829 | − | 36.1979i | −0.0700818 | − | 1.20326i | ||||
\(906\) | −3.15671 | − | 2.68404i | −0.104875 | − | 0.0891712i | ||||
\(907\) | 0.490184 | + | 1.63733i | 0.0162763 | + | 0.0543666i | 0.965742 | − | 0.259504i | \(-0.0835592\pi\) |
−0.949466 | + | 0.313871i | \(0.898374\pi\) | |||||||
\(908\) | 2.10557 | + | 0.766364i | 0.0698757 | + | 0.0254327i | ||||
\(909\) | 28.4648 | − | 9.94220i | 0.944117 | − | 0.329762i | ||||
\(910\) | 1.58087 | − | 0.575391i | 0.0524055 | − | 0.0190740i | ||||
\(911\) | −9.37413 | − | 12.5916i | −0.310579 | − | 0.417180i | 0.619238 | − | 0.785204i | \(-0.287442\pi\) |
−0.929816 | + | 0.368024i | \(0.880034\pi\) | |||||||
\(912\) | −3.65144 | + | 11.9136i | −0.120911 | + | 0.394497i | ||||
\(913\) | 22.2903 | − | 5.28291i | 0.737703 | − | 0.174839i | ||||
\(914\) | 11.9502 | + | 27.7037i | 0.395278 | + | 0.916357i | ||||
\(915\) | 25.7328 | + | 17.1660i | 0.850701 | + | 0.567490i | ||||
\(916\) | 12.9860 | + | 8.54101i | 0.429069 | + | 0.282203i | ||||
\(917\) | 9.99831 | − | 17.3176i | 0.330173 | − | 0.571877i | ||||
\(918\) | −30.8383 | + | 14.7400i | −1.01782 | + | 0.486491i | ||||
\(919\) | −11.2459 | − | 19.4785i | −0.370969 | − | 0.642537i | 0.618746 | − | 0.785591i | \(-0.287641\pi\) |
−0.989715 | + | 0.143054i | \(0.954308\pi\) | |||||||
\(920\) | −0.392122 | + | 6.73248i | −0.0129279 | + | 0.221963i | ||||
\(921\) | −14.5089 | − | 49.6379i | −0.478084 | − | 1.63563i | ||||
\(922\) | −20.1958 | − | 2.36055i | −0.665112 | − | 0.0777405i | ||||
\(923\) | 2.59189 | + | 2.74724i | 0.0853130 | + | 0.0904265i | ||||
\(924\) | 6.83776 | − | 9.06084i | 0.224946 | − | 0.298080i | ||||
\(925\) | 1.65048 | − | 0.192913i | 0.0542674 | − | 0.00634294i | ||||
\(926\) | 16.1719 | + | 13.5699i | 0.531442 | + | 0.445933i | ||||
\(927\) | 0.358088 | − | 5.02016i | 0.0117612 | − | 0.164884i | ||||
\(928\) | −5.04560 | + | 4.23376i | −0.165630 | + | 0.138980i | ||||
\(929\) | 37.6794 | − | 39.9379i | 1.23622 | − | 1.31032i | 0.302138 | − | 0.953264i | \(-0.402300\pi\) |
0.934084 | − | 0.357055i | \(-0.116219\pi\) | |||||||
\(930\) | −5.53637 | + | 4.58442i | −0.181545 | + | 0.150329i | ||||
\(931\) | −30.7347 | − | 15.4356i | −1.00729 | − | 0.505880i | ||||
\(932\) | 7.05007 | + | 3.54068i | 0.230933 | + | 0.115979i | ||||
\(933\) | 2.95788 | + | 1.09846i | 0.0968365 | + | 0.0359619i | ||||
\(934\) | 11.8546 | − | 12.5652i | 0.387896 | − | 0.411146i | ||||
\(935\) | −51.3342 | + | 43.0745i | −1.67881 | + | 1.40869i | ||||
\(936\) | 1.45519 | − | 0.150893i | 0.0475645 | − | 0.00493209i | ||||
\(937\) | −7.52251 | − | 6.31214i | −0.245750 | − | 0.206209i | 0.511590 | − | 0.859230i | \(-0.329057\pi\) |
−0.757340 | + | 0.653021i | \(0.773501\pi\) | |||||||
\(938\) | 5.64823 | − | 0.660184i | 0.184421 | − | 0.0215558i | ||||
\(939\) | −2.91734 | − | 6.88617i | −0.0952037 | − | 0.224722i | ||||
\(940\) | −12.4291 | − | 13.1740i | −0.405391 | − | 0.429689i | ||||
\(941\) | −22.4201 | − | 2.62054i | −0.730875 | − | 0.0854271i | −0.257488 | − | 0.966281i | \(-0.582895\pi\) |
−0.473387 | + | 0.880854i | \(0.656969\pi\) | |||||||
\(942\) | 12.4314 | − | 13.0056i | 0.405036 | − | 0.423747i | ||||
\(943\) | −1.33366 | + | 22.8981i | −0.0434301 | + | 0.745665i | ||||
\(944\) | −6.35339 | − | 11.0044i | −0.206785 | − | 0.358162i | ||||
\(945\) | −16.7214 | − | 6.45896i | −0.543948 | − | 0.210110i | ||||
\(946\) | 0.975784 | − | 1.69011i | 0.0317255 | − | 0.0549501i | ||||
\(947\) | −36.6967 | − | 24.1358i | −1.19248 | − | 0.784308i | −0.211305 | − | 0.977420i | \(-0.567771\pi\) |
−0.981177 | + | 0.193112i | \(0.938142\pi\) | |||||||
\(948\) | 26.0714 | − | 12.8815i | 0.846759 | − | 0.418372i | ||||
\(949\) | −1.94591 | − | 4.51113i | −0.0631670 | − | 0.146438i | ||||
\(950\) | 2.53745 | − | 0.601388i | 0.0823259 | − | 0.0195116i | ||||
\(951\) | 55.0575 | − | 12.6706i | 1.78536 | − | 0.410871i | ||||
\(952\) | 5.85175 | + | 7.86026i | 0.189656 | + | 0.254753i | ||||
\(953\) | −26.3447 | + | 9.58870i | −0.853389 | + | 0.310608i | −0.731421 | − | 0.681926i | \(-0.761143\pi\) |
−0.121968 | + | 0.992534i | \(0.538921\pi\) | |||||||
\(954\) | −4.57338 | + | 3.73705i | −0.148068 | + | 0.120991i | ||||
\(955\) | 9.63427 | + | 3.50659i | 0.311758 | + | 0.113471i | ||||
\(956\) | −1.47864 | − | 4.93901i | −0.0478227 | − | 0.159739i | ||||
\(957\) | −47.2722 | + | 16.8577i | −1.52809 | + | 0.544931i | ||||
\(958\) | 1.24251 | + | 21.3331i | 0.0401438 | + | 0.689242i | ||||
\(959\) | −6.59802 | + | 4.33959i | −0.213061 | + | 0.140133i | ||||
\(960\) | −4.01083 | − | 0.0261345i | −0.129449 | − | 0.000843486i | ||||
\(961\) | −27.0392 | − | 6.40842i | −0.872234 | − | 0.206723i | ||||
\(962\) | 0.388204 | + | 2.20161i | 0.0125162 | + | 0.0709829i | ||||
\(963\) | −25.0197 | − | 27.2214i | −0.806249 | − | 0.877199i | ||||
\(964\) | −0.361018 | + | 2.04743i | −0.0116276 | + | 0.0659434i | ||||
\(965\) | −17.4287 | + | 40.4043i | −0.561050 | + | 1.30066i | ||||
\(966\) | 6.69300 | + | 3.41614i | 0.215344 | + | 0.109913i | ||||
\(967\) | 4.56167 | − | 15.2370i | 0.146693 | − | 0.489990i | −0.852786 | − | 0.522261i | \(-0.825089\pi\) |
0.999479 | + | 0.0322708i | \(0.0102739\pi\) | |||||||
\(968\) | 4.98844 | − | 6.70063i | 0.160334 | − | 0.215366i | ||||
\(969\) | −48.5165 | − | 66.0634i | −1.55858 | − | 2.12226i | ||||
\(970\) | 2.91402 | − | 1.46348i | 0.0935637 | − | 0.0469894i | ||||
\(971\) | 15.4071 | 0.494438 | 0.247219 | − | 0.968960i | \(-0.420483\pi\) | ||||
0.247219 | + | 0.968960i | \(0.420483\pi\) | |||||||
\(972\) | −12.7380 | − | 8.98569i | −0.408572 | − | 0.288216i | ||||
\(973\) | 26.8873 | 0.861969 | ||||||||
\(974\) | −10.0079 | + | 5.02617i | −0.320674 | + | 0.161049i | ||||
\(975\) | −0.181231 | − | 0.246776i | −0.00580404 | − | 0.00790317i | ||||
\(976\) | 4.60541 | − | 6.18613i | 0.147415 | − | 0.198013i | ||||
\(977\) | −8.32046 | + | 27.7923i | −0.266195 | + | 0.889154i | 0.715487 | + | 0.698626i | \(0.246205\pi\) |
−0.981682 | + | 0.190527i | \(0.938980\pi\) | |||||||
\(978\) | −10.1921 | − | 5.20211i | −0.325908 | − | 0.166345i | ||||
\(979\) | 5.39779 | − | 12.5135i | 0.172514 | − | 0.399933i | ||||
\(980\) | 1.92241 | − | 10.9025i | 0.0614091 | − | 0.348268i | ||||
\(981\) | −55.8973 | + | 12.4809i | −1.78466 | + | 0.398484i | ||||
\(982\) | 1.56112 | + | 8.85355i | 0.0498173 | + | 0.282528i | ||||
\(983\) | −28.8192 | − | 6.83027i | −0.919189 | − | 0.217852i | −0.256324 | − | 0.966591i | \(-0.582511\pi\) |
−0.662865 | + | 0.748739i | \(0.730660\pi\) | |||||||
\(984\) | −13.6414 | − | 0.0888870i | −0.434872 | − | 0.00283361i | ||||
\(985\) | −43.8631 | + | 28.8492i | −1.39759 | + | 0.919212i | ||||
\(986\) | −2.51918 | − | 43.2526i | −0.0802270 | − | 1.37744i | ||||
\(987\) | −19.0086 | + | 6.77864i | −0.605051 | + | 0.215766i | ||||
\(988\) | 1.00620 | + | 3.36093i | 0.0320114 | + | 0.106926i | ||||
\(989\) | 1.21399 | + | 0.441857i | 0.0386027 | + | 0.0140502i | ||||
\(990\) | −28.5805 | − | 10.8263i | −0.908347 | − | 0.344081i | ||||
\(991\) | −34.5253 | + | 12.5662i | −1.09673 | + | 0.399178i | −0.826111 | − | 0.563508i | \(-0.809452\pi\) |
−0.270622 | + | 0.962686i | \(0.587229\pi\) | |||||||
\(992\) | 1.07018 | + | 1.43751i | 0.0339784 | + | 0.0456408i | ||||
\(993\) | −16.1424 | + | 3.71490i | −0.512264 | + | 0.117889i | ||||
\(994\) | −11.2268 | + | 2.66081i | −0.356093 | + | 0.0843956i | ||||
\(995\) | 3.45661 | + | 8.01332i | 0.109582 | + | 0.254039i | ||||
\(996\) | −8.08597 | + | 3.99516i | −0.256214 | + | 0.126592i | ||||
\(997\) | 30.2226 | + | 19.8777i | 0.957158 | + | 0.629533i | 0.929004 | − | 0.370071i | \(-0.120667\pi\) |
0.0281546 | + | 0.999604i | \(0.491037\pi\) | |||||||
\(998\) | −0.772519 | + | 1.33804i | −0.0244537 | + | 0.0423550i | ||||
\(999\) | 12.3112 | − | 20.3924i | 0.389508 | − | 0.645186i |
(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 | 162.2.g.b.25.4 | yes | 90 | |
3.2 | odd | 2 | 486.2.g.b.73.2 | 90 | |||
81.13 | even | 27 | inner | 162.2.g.b.13.4 | ✓ | 90 | |
81.68 | odd | 54 | 486.2.g.b.253.2 | 90 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
162.2.g.b.13.4 | ✓ | 90 | 81.13 | even | 27 | inner | |
162.2.g.b.25.4 | yes | 90 | 1.1 | even | 1 | trivial | |
486.2.g.b.73.2 | 90 | 3.2 | odd | 2 | |||
486.2.g.b.253.2 | 90 | 81.68 | odd | 54 |