Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(4,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([14, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.z (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 142.34 | ||
Character | \(\chi\) | \(=\) | 441.142 |
Dual form | 441.2.z.a.382.34 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{4}{21}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.276882 | − | 0.705483i | 0.195785 | − | 0.498852i | −0.798942 | − | 0.601408i | \(-0.794607\pi\) |
0.994727 | + | 0.102556i | \(0.0327020\pi\) | |||||||
\(3\) | 1.34213 | − | 1.09484i | 0.774880 | − | 0.632109i | ||||
\(4\) | 1.04506 | + | 0.969674i | 0.522530 | + | 0.484837i | ||||
\(5\) | 1.69583 | − | 0.816667i | 0.758397 | − | 0.365225i | −0.0143849 | − | 0.999897i | \(-0.504579\pi\) |
0.772782 | + | 0.634672i | \(0.218865\pi\) | |||||||
\(6\) | −0.400783 | − | 1.24999i | −0.163619 | − | 0.510308i | ||||
\(7\) | 0.217648 | + | 2.63678i | 0.0822634 | + | 0.996611i | ||||
\(8\) | 2.33909 | − | 1.12644i | 0.826992 | − | 0.398258i | ||||
\(9\) | 0.602632 | − | 2.93885i | 0.200877 | − | 0.979616i | ||||
\(10\) | −0.106601 | − | 1.42250i | −0.0337104 | − | 0.449833i | ||||
\(11\) | −2.98107 | − | 3.73814i | −0.898826 | − | 1.12709i | −0.991332 | − | 0.131380i | \(-0.958059\pi\) |
0.0925065 | − | 0.995712i | \(-0.470512\pi\) | |||||||
\(12\) | 2.46425 | + | 0.157252i | 0.711368 | + | 0.0453947i | ||||
\(13\) | −2.16063 | + | 5.50519i | −0.599250 | + | 1.52687i | 0.233007 | + | 0.972475i | \(0.425144\pi\) |
−0.832257 | + | 0.554390i | \(0.812952\pi\) | |||||||
\(14\) | 1.92047 | + | 0.576530i | 0.513267 | + | 0.154084i | ||||
\(15\) | 1.38190 | − | 2.95274i | 0.356805 | − | 0.762394i | ||||
\(16\) | 0.0660374 | + | 0.881208i | 0.0165094 | + | 0.220302i | ||||
\(17\) | −1.74050 | + | 1.61495i | −0.422133 | + | 0.391682i | −0.862435 | − | 0.506167i | \(-0.831062\pi\) |
0.440302 | + | 0.897850i | \(0.354871\pi\) | |||||||
\(18\) | −1.90645 | − | 1.23886i | −0.449355 | − | 0.292002i | ||||
\(19\) | 1.93830 | − | 3.35723i | 0.444676 | − | 0.770201i | −0.553354 | − | 0.832946i | \(-0.686652\pi\) |
0.998030 | + | 0.0627452i | \(0.0199855\pi\) | |||||||
\(20\) | 2.56414 | + | 0.790933i | 0.573360 | + | 0.176858i | ||||
\(21\) | 3.17898 | + | 3.30062i | 0.693710 | + | 0.720254i | ||||
\(22\) | −3.46260 | + | 1.06807i | −0.738229 | + | 0.227713i | ||||
\(23\) | −1.01287 | + | 4.43768i | −0.211198 | + | 0.925319i | 0.752556 | + | 0.658528i | \(0.228821\pi\) |
−0.963754 | + | 0.266791i | \(0.914037\pi\) | |||||||
\(24\) | 1.90608 | − | 4.07277i | 0.389077 | − | 0.831351i | ||||
\(25\) | −0.908565 | + | 1.13930i | −0.181713 | + | 0.227861i | ||||
\(26\) | 3.28558 | + | 3.04857i | 0.644356 | + | 0.597875i | ||||
\(27\) | −2.40877 | − | 4.60411i | −0.463568 | − | 0.886061i | ||||
\(28\) | −2.32937 | + | 2.96665i | −0.440209 | + | 0.560644i | ||||
\(29\) | −1.66432 | − | 0.513375i | −0.309057 | − | 0.0953314i | 0.136347 | − | 0.990661i | \(-0.456464\pi\) |
−0.445404 | + | 0.895330i | \(0.646940\pi\) | |||||||
\(30\) | −1.70049 | − | 1.79247i | −0.310465 | − | 0.327258i | ||||
\(31\) | 4.63394 | − | 8.02622i | 0.832281 | − | 1.44155i | −0.0639450 | − | 0.997953i | \(-0.520368\pi\) |
0.896226 | − | 0.443599i | \(-0.146298\pi\) | |||||||
\(32\) | 5.60166 | + | 1.72788i | 0.990243 | + | 0.305449i | ||||
\(33\) | −8.09366 | − | 1.75327i | −1.40893 | − | 0.305205i | ||||
\(34\) | 0.657406 | + | 1.67504i | 0.112744 | + | 0.287267i | ||||
\(35\) | 2.52247 | + | 4.29378i | 0.426375 | + | 0.725782i | ||||
\(36\) | 3.47951 | − | 2.48692i | 0.579919 | − | 0.414486i | ||||
\(37\) | −8.97230 | − | 2.76759i | −1.47504 | − | 0.454989i | −0.550097 | − | 0.835101i | \(-0.685409\pi\) |
−0.924941 | + | 0.380112i | \(0.875886\pi\) | |||||||
\(38\) | −1.83179 | − | 2.29699i | −0.297156 | − | 0.372621i | ||||
\(39\) | 3.12748 | + | 9.75424i | 0.500798 | + | 1.56193i | ||||
\(40\) | 3.04675 | − | 3.82051i | 0.481734 | − | 0.604076i | ||||
\(41\) | −7.34181 | − | 5.00556i | −1.14660 | − | 0.781738i | −0.167651 | − | 0.985846i | \(-0.553618\pi\) |
−0.978948 | + | 0.204109i | \(0.934570\pi\) | |||||||
\(42\) | 3.20873 | − | 1.32884i | 0.495118 | − | 0.205044i | ||||
\(43\) | −3.53466 | + | 2.40989i | −0.539030 | + | 0.367504i | −0.802023 | − | 0.597293i | \(-0.796243\pi\) |
0.262993 | + | 0.964798i | \(0.415290\pi\) | |||||||
\(44\) | 0.509383 | − | 6.79725i | 0.0767924 | − | 1.02472i | ||||
\(45\) | −1.37810 | − | 5.47593i | −0.205435 | − | 0.816303i | ||||
\(46\) | 2.85026 | + | 1.94328i | 0.420248 | + | 0.286520i | ||||
\(47\) | −0.214642 | + | 0.546898i | −0.0313087 | + | 0.0797733i | −0.945673 | − | 0.325119i | \(-0.894596\pi\) |
0.914364 | + | 0.404892i | \(0.132691\pi\) | |||||||
\(48\) | 1.05342 | + | 1.11040i | 0.152048 | + | 0.160272i | ||||
\(49\) | −6.90526 | + | 1.14778i | −0.986465 | + | 0.163969i | ||||
\(50\) | 0.552195 | + | 0.956431i | 0.0780922 | + | 0.135260i | ||||
\(51\) | −0.567863 | + | 4.07305i | −0.0795167 | + | 0.570340i | ||||
\(52\) | −7.59623 | + | 3.65815i | −1.05341 | + | 0.507294i | ||||
\(53\) | 11.2661 | − | 3.47513i | 1.54752 | − | 0.477346i | 0.600797 | − | 0.799402i | \(-0.294850\pi\) |
0.946721 | + | 0.322056i | \(0.104374\pi\) | |||||||
\(54\) | −3.91507 | + | 0.424553i | −0.532773 | + | 0.0577744i | ||||
\(55\) | −8.10819 | − | 3.90470i | −1.09331 | − | 0.526510i | ||||
\(56\) | 3.47929 | + | 5.92250i | 0.464940 | + | 0.791427i | ||||
\(57\) | −1.07419 | − | 6.62798i | −0.142280 | − | 0.877897i | ||||
\(58\) | −0.822998 | + | 1.03201i | −0.108065 | + | 0.135509i | ||||
\(59\) | −0.827861 | + | 0.564426i | −0.107778 | + | 0.0734820i | −0.616010 | − | 0.787739i | \(-0.711252\pi\) |
0.508231 | + | 0.861221i | \(0.330299\pi\) | |||||||
\(60\) | 4.30737 | − | 1.74580i | 0.556078 | − | 0.225382i | ||||
\(61\) | 3.82808 | − | 3.55194i | 0.490136 | − | 0.454779i | −0.395970 | − | 0.918264i | \(-0.629591\pi\) |
0.886105 | + | 0.463484i | \(0.153401\pi\) | |||||||
\(62\) | −4.37931 | − | 5.49148i | −0.556173 | − | 0.697419i | ||||
\(63\) | 7.88027 | + | 0.949375i | 0.992821 | + | 0.119610i | ||||
\(64\) | 1.66806 | − | 2.09168i | 0.208508 | − | 0.261460i | ||||
\(65\) | 0.831857 | + | 11.1004i | 0.103179 | + | 1.37683i | ||||
\(66\) | −3.47789 | + | 5.22450i | −0.428099 | + | 0.643091i | ||||
\(67\) | −3.65476 | + | 6.33022i | −0.446500 | + | 0.773360i | −0.998155 | − | 0.0607119i | \(-0.980663\pi\) |
0.551656 | + | 0.834072i | \(0.313996\pi\) | |||||||
\(68\) | −3.38490 | −0.410479 | ||||||||
\(69\) | 3.49916 | + | 7.06488i | 0.421249 | + | 0.850511i | ||||
\(70\) | 3.72762 | − | 0.590690i | 0.445536 | − | 0.0706009i | ||||
\(71\) | −0.543665 | + | 2.38195i | −0.0645211 | + | 0.282686i | −0.996888 | − | 0.0788272i | \(-0.974882\pi\) |
0.932367 | + | 0.361513i | \(0.117740\pi\) | |||||||
\(72\) | −1.90084 | − | 7.55305i | −0.224016 | − | 0.890136i | ||||
\(73\) | 7.22035 | + | 1.08829i | 0.845078 | + | 0.127375i | 0.557289 | − | 0.830319i | \(-0.311842\pi\) |
0.287789 | + | 0.957694i | \(0.407080\pi\) | |||||||
\(74\) | −4.43676 | + | 5.56352i | −0.515762 | + | 0.646746i | ||||
\(75\) | 0.0279475 | + | 2.52383i | 0.00322709 | + | 0.291427i | ||||
\(76\) | 5.28106 | − | 1.62899i | 0.605779 | − | 0.186858i | ||||
\(77\) | 9.20784 | − | 8.67403i | 1.04933 | − | 0.988498i | ||||
\(78\) | 7.74740 | + | 0.494387i | 0.877220 | + | 0.0559783i | ||||
\(79\) | 6.31424 | + | 10.9366i | 0.710407 | + | 1.23046i | 0.964704 | + | 0.263335i | \(0.0848224\pi\) |
−0.254297 | + | 0.967126i | \(0.581844\pi\) | |||||||
\(80\) | 0.831642 | + | 1.44045i | 0.0929804 | + | 0.161047i | ||||
\(81\) | −8.27367 | − | 3.54209i | −0.919296 | − | 0.393566i | ||||
\(82\) | −5.56416 | + | 3.79358i | −0.614458 | + | 0.418931i | ||||
\(83\) | −0.517250 | − | 1.31793i | −0.0567755 | − | 0.144662i | 0.899672 | − | 0.436567i | \(-0.143806\pi\) |
−0.956447 | + | 0.291906i | \(0.905711\pi\) | |||||||
\(84\) | 0.121701 | + | 6.53192i | 0.0132787 | + | 0.712691i | ||||
\(85\) | −1.63271 | + | 4.16008i | −0.177092 | + | 0.451224i | ||||
\(86\) | 0.721454 | + | 3.16090i | 0.0777964 | + | 0.340848i | ||||
\(87\) | −2.79580 | + | 1.13316i | −0.299742 | + | 0.121487i | ||||
\(88\) | −11.1838 | − | 5.38583i | −1.19220 | − | 0.574131i | ||||
\(89\) | −0.792868 | − | 2.02020i | −0.0840439 | − | 0.214140i | 0.882674 | − | 0.469986i | \(-0.155741\pi\) |
−0.966718 | + | 0.255846i | \(0.917646\pi\) | |||||||
\(90\) | −4.24475 | − | 0.543958i | −0.447436 | − | 0.0573382i | ||||
\(91\) | −14.9863 | − | 4.49891i | −1.57099 | − | 0.471614i | ||||
\(92\) | −5.36161 | + | 3.65548i | −0.558987 | + | 0.381111i | ||||
\(93\) | −2.56811 | − | 15.8457i | −0.266300 | − | 1.64312i | ||||
\(94\) | 0.326397 | + | 0.302852i | 0.0336653 | + | 0.0312368i | ||||
\(95\) | 0.545278 | − | 7.27622i | 0.0559443 | − | 0.746525i | ||||
\(96\) | 9.40992 | − | 3.81390i | 0.960396 | − | 0.389254i | ||||
\(97\) | 1.86733 | − | 3.23432i | 0.189599 | − | 0.328395i | −0.755518 | − | 0.655128i | \(-0.772615\pi\) |
0.945117 | + | 0.326733i | \(0.105948\pi\) | |||||||
\(98\) | −1.10220 | + | 5.18935i | −0.111339 | + | 0.524203i | ||||
\(99\) | −12.7823 | + | 6.50818i | −1.28467 | + | 0.654097i | ||||
\(100\) | −2.05426 | + | 0.309630i | −0.205426 | + | 0.0309630i | ||||
\(101\) | 5.14515 | − | 2.47777i | 0.511961 | − | 0.246548i | −0.160023 | − | 0.987113i | \(-0.551157\pi\) |
0.671984 | + | 0.740566i | \(0.265442\pi\) | |||||||
\(102\) | 2.71624 | + | 1.52837i | 0.268947 | + | 0.151331i | ||||
\(103\) | 9.35408 | − | 4.50469i | 0.921685 | − | 0.443860i | 0.0880126 | − | 0.996119i | \(-0.471948\pi\) |
0.833672 | + | 0.552259i | \(0.186234\pi\) | |||||||
\(104\) | 1.14740 | + | 15.3109i | 0.112511 | + | 1.50136i | ||||
\(105\) | 8.08651 | + | 3.00111i | 0.789162 | + | 0.292878i | ||||
\(106\) | 0.667731 | − | 8.91025i | 0.0648557 | − | 0.865440i | ||||
\(107\) | 5.60050 | + | 14.2699i | 0.541421 | + | 1.37952i | 0.895817 | + | 0.444423i | \(0.146591\pi\) |
−0.354396 | + | 0.935096i | \(0.615313\pi\) | |||||||
\(108\) | 1.94718 | − | 7.14730i | 0.187367 | − | 0.687749i | ||||
\(109\) | −3.96716 | + | 10.1082i | −0.379985 | + | 0.968187i | 0.605105 | + | 0.796146i | \(0.293131\pi\) |
−0.985090 | + | 0.172041i | \(0.944964\pi\) | |||||||
\(110\) | −4.99971 | + | 4.63905i | −0.476704 | + | 0.442316i | ||||
\(111\) | −15.0721 | + | 6.10881i | −1.43058 | + | 0.579822i | ||||
\(112\) | −2.30918 | + | 0.365920i | −0.218197 | + | 0.0345762i | ||||
\(113\) | −9.39870 | − | 1.41663i | −0.884155 | − | 0.133265i | −0.308759 | − | 0.951140i | \(-0.599914\pi\) |
−0.575396 | + | 0.817875i | \(0.695152\pi\) | |||||||
\(114\) | −4.97335 | − | 1.07734i | −0.465797 | − | 0.100902i | ||||
\(115\) | 1.90645 | + | 8.35271i | 0.177777 | + | 0.778894i | ||||
\(116\) | −1.24151 | − | 2.15036i | −0.115271 | − | 0.199656i | ||||
\(117\) | 14.8769 | + | 9.66737i | 1.37537 | + | 0.893748i | ||||
\(118\) | 0.168974 | + | 0.740321i | 0.0155553 | + | 0.0681521i | ||||
\(119\) | −4.63708 | − | 4.23783i | −0.425081 | − | 0.388481i | ||||
\(120\) | −0.0937181 | − | 8.46335i | −0.00855526 | − | 0.772594i | ||||
\(121\) | −2.63920 | + | 11.5631i | −0.239927 | + | 1.05119i | ||||
\(122\) | −1.44591 | − | 3.68412i | −0.130906 | − | 0.333544i | ||||
\(123\) | −15.3340 | + | 1.32002i | −1.38262 | + | 0.119022i | ||||
\(124\) | 12.6256 | − | 3.89447i | 1.13381 | − | 0.349734i | ||||
\(125\) | −2.70451 | + | 11.8492i | −0.241899 | + | 1.05983i | ||||
\(126\) | 2.85167 | − | 5.29654i | 0.254047 | − | 0.471853i | ||||
\(127\) | 1.86811 | + | 8.18474i | 0.165768 | + | 0.726278i | 0.987657 | + | 0.156630i | \(0.0500631\pi\) |
−0.821889 | + | 0.569647i | \(0.807080\pi\) | |||||||
\(128\) | 4.84830 | + | 8.39751i | 0.428534 | + | 0.742242i | ||||
\(129\) | −2.10552 | + | 7.10428i | −0.185381 | + | 0.625497i | ||||
\(130\) | 8.06145 | + | 2.48663i | 0.707036 | + | 0.218092i | ||||
\(131\) | 15.2209 | + | 7.33002i | 1.32986 | + | 0.640427i | 0.957707 | − | 0.287745i | \(-0.0929056\pi\) |
0.372152 | + | 0.928172i | \(0.378620\pi\) | |||||||
\(132\) | −6.75827 | − | 9.68049i | −0.588232 | − | 0.842579i | ||||
\(133\) | 9.27416 | + | 4.38018i | 0.804171 | + | 0.379809i | ||||
\(134\) | 3.45393 | + | 4.33109i | 0.298374 | + | 0.374150i | ||||
\(135\) | −7.84488 | − | 5.84061i | −0.675180 | − | 0.502680i | ||||
\(136\) | −2.25203 | + | 5.73808i | −0.193110 | + | 0.492036i | ||||
\(137\) | −9.04250 | − | 4.35464i | −0.772553 | − | 0.372042i | 0.00570747 | − | 0.999984i | \(-0.498183\pi\) |
−0.778260 | + | 0.627942i | \(0.783898\pi\) | |||||||
\(138\) | 5.95301 | − | 0.512462i | 0.506754 | − | 0.0436236i | ||||
\(139\) | −5.31211 | − | 3.62174i | −0.450568 | − | 0.307192i | 0.316692 | − | 0.948528i | \(-0.397428\pi\) |
−0.767260 | + | 0.641337i | \(0.778380\pi\) | |||||||
\(140\) | −1.52744 | + | 6.93324i | −0.129092 | + | 0.585965i | ||||
\(141\) | 0.310691 | + | 0.969008i | 0.0261649 | + | 0.0816052i | ||||
\(142\) | 1.52990 | + | 1.04307i | 0.128386 | + | 0.0875321i | ||||
\(143\) | 27.0202 | − | 8.33461i | 2.25954 | − | 0.696975i | ||||
\(144\) | 2.62953 | + | 0.336971i | 0.219128 | + | 0.0280809i | ||||
\(145\) | −3.24166 | + | 0.488601i | −0.269205 | + | 0.0405761i | ||||
\(146\) | 2.76696 | − | 4.79251i | 0.228995 | − | 0.396631i | ||||
\(147\) | −8.01112 | + | 9.10066i | −0.660746 | + | 0.750610i | ||||
\(148\) | −6.69294 | − | 11.5925i | −0.550156 | − | 0.952899i | ||||
\(149\) | −11.9605 | − | 14.9980i | −0.979843 | − | 1.22868i | −0.973496 | − | 0.228704i | \(-0.926551\pi\) |
−0.00634704 | − | 0.999980i | \(-0.502020\pi\) | |||||||
\(150\) | 1.78826 | + | 0.679087i | 0.146011 | + | 0.0554472i | ||||
\(151\) | −1.73282 | + | 7.59198i | −0.141015 | + | 0.617827i | 0.854185 | + | 0.519969i | \(0.174056\pi\) |
−0.995200 | + | 0.0978583i | \(0.968801\pi\) | |||||||
\(152\) | 0.752112 | − | 10.0362i | 0.0610043 | − | 0.814046i | ||||
\(153\) | 3.69720 | + | 6.08828i | 0.298901 | + | 0.492209i | ||||
\(154\) | −3.56990 | − | 8.89766i | −0.287671 | − | 0.716994i | ||||
\(155\) | 1.30361 | − | 17.3955i | 0.104709 | − | 1.39724i | ||||
\(156\) | −6.19003 | + | 13.2264i | −0.495599 | + | 1.05896i | ||||
\(157\) | −6.27817 | + | 4.28038i | −0.501052 | + | 0.341612i | −0.787327 | − | 0.616536i | \(-0.788536\pi\) |
0.286274 | + | 0.958148i | \(0.407583\pi\) | |||||||
\(158\) | 9.46387 | − | 1.42645i | 0.752905 | − | 0.113482i | ||||
\(159\) | 11.3159 | − | 16.9987i | 0.897406 | − | 1.34808i | ||||
\(160\) | 10.9105 | − | 1.64450i | 0.862555 | − | 0.130009i | ||||
\(161\) | −11.9216 | − | 1.70487i | −0.939557 | − | 0.134362i | ||||
\(162\) | −4.78972 | + | 4.85619i | −0.376316 | + | 0.381539i | ||||
\(163\) | 18.9561 | − | 12.9240i | 1.48476 | − | 1.01229i | 0.495099 | − | 0.868837i | \(-0.335132\pi\) |
0.989657 | − | 0.143453i | \(-0.0458205\pi\) | |||||||
\(164\) | −2.81887 | − | 12.3503i | −0.220117 | − | 0.964395i | ||||
\(165\) | −15.1573 | + | 3.63659i | −1.17999 | + | 0.283108i | ||||
\(166\) | −1.07299 | −0.0832806 | ||||||||
\(167\) | 0.364970 | − | 0.338643i | 0.0282422 | − | 0.0262049i | −0.665925 | − | 0.746018i | \(-0.731963\pi\) |
0.694168 | + | 0.719813i | \(0.255773\pi\) | |||||||
\(168\) | 11.1539 | + | 4.13949i | 0.860540 | + | 0.319368i | ||||
\(169\) | −16.1091 | − | 14.9471i | −1.23916 | − | 1.14978i | ||||
\(170\) | 2.48280 | + | 2.30370i | 0.190422 | + | 0.176686i | ||||
\(171\) | −8.69831 | − | 7.71954i | −0.665176 | − | 0.590328i | ||||
\(172\) | −6.03074 | − | 0.908987i | −0.459839 | − | 0.0693096i | ||||
\(173\) | −6.35758 | + | 1.96105i | −0.483358 | + | 0.149096i | −0.526851 | − | 0.849958i | \(-0.676627\pi\) |
0.0434933 | + | 0.999054i | \(0.486151\pi\) | |||||||
\(174\) | 0.0253154 | + | 2.28614i | 0.00191916 | + | 0.173312i | ||||
\(175\) | −3.20185 | − | 2.14772i | −0.242037 | − | 0.162353i | ||||
\(176\) | 3.09722 | − | 2.87380i | 0.233462 | − | 0.216621i | ||||
\(177\) | −0.493139 | + | 1.66391i | −0.0370666 | + | 0.125067i | ||||
\(178\) | −1.64474 | −0.123279 | ||||||||
\(179\) | −1.11193 | + | 1.03172i | −0.0831093 | + | 0.0771141i | −0.720634 | − | 0.693316i | \(-0.756149\pi\) |
0.637524 | + | 0.770430i | \(0.279959\pi\) | |||||||
\(180\) | 3.86967 | − | 7.05899i | 0.288428 | − | 0.526146i | ||||
\(181\) | 11.3222 | − | 14.1976i | 0.841574 | − | 1.05530i | −0.156141 | − | 0.987735i | \(-0.549906\pi\) |
0.997715 | − | 0.0675652i | \(-0.0215231\pi\) | |||||||
\(182\) | −7.32333 | + | 9.32689i | −0.542841 | + | 0.691355i | ||||
\(183\) | 1.24897 | − | 8.95832i | 0.0923262 | − | 0.662218i | ||||
\(184\) | 2.62960 | + | 11.5210i | 0.193857 | + | 0.849343i | ||||
\(185\) | −17.4757 | + | 2.63403i | −1.28484 | + | 0.193658i | ||||
\(186\) | −11.8899 | − | 2.57563i | −0.871812 | − | 0.188854i | ||||
\(187\) | 11.2254 | + | 1.69196i | 0.820886 | + | 0.123729i | ||||
\(188\) | −0.754627 | + | 0.363409i | −0.0550368 | + | 0.0265043i | ||||
\(189\) | 11.6158 | − | 7.35348i | 0.844923 | − | 0.534887i | ||||
\(190\) | −4.98228 | − | 2.39934i | −0.361452 | − | 0.174066i | ||||
\(191\) | 7.29704 | + | 4.97504i | 0.527996 | + | 0.359981i | 0.797789 | − | 0.602937i | \(-0.206003\pi\) |
−0.269793 | + | 0.962918i | \(0.586955\pi\) | |||||||
\(192\) | −0.0513095 | − | 4.63358i | −0.00370294 | − | 0.334400i | ||||
\(193\) | 0.374280 | − | 4.99442i | 0.0269413 | − | 0.359506i | −0.967399 | − | 0.253259i | \(-0.918498\pi\) |
0.994340 | − | 0.106247i | \(-0.0338834\pi\) | |||||||
\(194\) | −1.76473 | − | 2.21290i | −0.126700 | − | 0.158877i | ||||
\(195\) | 13.2696 | + | 13.9874i | 0.950258 | + | 1.00166i | ||||
\(196\) | −8.32939 | − | 5.49635i | −0.594956 | − | 0.392596i | ||||
\(197\) | 5.34731 | 0.380980 | 0.190490 | − | 0.981689i | \(-0.438992\pi\) | ||||
0.190490 | + | 0.981689i | \(0.438992\pi\) | |||||||
\(198\) | 1.05222 | + | 10.8197i | 0.0747783 | + | 0.768923i | ||||
\(199\) | −3.44134 | − | 2.34626i | −0.243950 | − | 0.166322i | 0.435173 | − | 0.900347i | \(-0.356687\pi\) |
−0.679123 | + | 0.734025i | \(0.737640\pi\) | |||||||
\(200\) | −0.841849 | + | 3.68838i | −0.0595277 | + | 0.260808i | ||||
\(201\) | 2.02545 | + | 12.4974i | 0.142864 | + | 0.881497i | ||||
\(202\) | −0.323429 | − | 4.31587i | −0.0227564 | − | 0.303663i | ||||
\(203\) | 0.991423 | − | 4.50019i | 0.0695842 | − | 0.315852i | ||||
\(204\) | −4.54298 | + | 3.70594i | −0.318072 | + | 0.259468i | ||||
\(205\) | −16.5383 | − | 2.49275i | −1.15509 | − | 0.174101i | ||||
\(206\) | −0.588008 | − | 7.84642i | −0.0409684 | − | 0.546686i | ||||
\(207\) | 12.4313 | + | 5.65096i | 0.864033 | + | 0.392769i | ||||
\(208\) | −4.99390 | − | 1.54041i | −0.346265 | − | 0.106809i | ||||
\(209\) | −18.3280 | + | 2.76250i | −1.26777 | + | 0.191086i | ||||
\(210\) | 4.35624 | − | 4.87394i | 0.300609 | − | 0.336334i | ||||
\(211\) | 4.04542 | + | 0.609749i | 0.278498 | + | 0.0419768i | 0.286806 | − | 0.957989i | \(-0.407406\pi\) |
−0.00830796 | + | 0.999965i | \(0.502645\pi\) | |||||||
\(212\) | 15.1435 | + | 7.29272i | 1.04006 | + | 0.500866i | ||||
\(213\) | 1.87820 | + | 3.79212i | 0.128692 | + | 0.259832i | ||||
\(214\) | 11.6178 | 0.794178 | ||||||||
\(215\) | −4.02609 | + | 6.97339i | −0.274577 | + | 0.475581i | ||||
\(216\) | −10.8206 | − | 8.05606i | −0.736248 | − | 0.548146i | ||||
\(217\) | 22.1720 | + | 10.4718i | 1.50513 | + | 0.710873i | ||||
\(218\) | 6.03271 | + | 5.59753i | 0.408586 | + | 0.379113i | ||||
\(219\) | 10.8822 | − | 6.44453i | 0.735349 | − | 0.435481i | ||||
\(220\) | −4.68726 | − | 11.9430i | −0.316015 | − | 0.805194i | ||||
\(221\) | −5.13002 | − | 13.0711i | −0.345082 | − | 0.879256i | ||||
\(222\) | 0.136475 | + | 12.3245i | 0.00915957 | + | 0.827168i | ||||
\(223\) | −8.66735 | − | 8.04213i | −0.580409 | − | 0.538541i | 0.334398 | − | 0.942432i | \(-0.391467\pi\) |
−0.914807 | + | 0.403891i | \(0.867657\pi\) | |||||||
\(224\) | −3.33686 | + | 15.1464i | −0.222953 | + | 1.01201i | ||||
\(225\) | 2.80071 | + | 3.35672i | 0.186714 | + | 0.223781i | ||||
\(226\) | −3.60173 | + | 6.23839i | −0.239584 | + | 0.414971i | ||||
\(227\) | 22.7859 | 1.51235 | 0.756175 | − | 0.654369i | \(-0.227066\pi\) | ||||
0.756175 | + | 0.654369i | \(0.227066\pi\) | |||||||
\(228\) | 5.30438 | − | 7.96825i | 0.351291 | − | 0.527710i | ||||
\(229\) | −0.883438 | − | 0.425441i | −0.0583792 | − | 0.0281140i | 0.404466 | − | 0.914553i | \(-0.367457\pi\) |
−0.462846 | + | 0.886439i | \(0.653172\pi\) | |||||||
\(230\) | 6.42056 | + | 0.967744i | 0.423359 | + | 0.0638111i | ||||
\(231\) | 2.86142 | − | 21.7228i | 0.188268 | − | 1.42926i | ||||
\(232\) | −4.47128 | + | 0.673937i | −0.293554 | + | 0.0442461i | ||||
\(233\) | 16.3699 | + | 5.04944i | 1.07243 | + | 0.330800i | 0.780188 | − | 0.625545i | \(-0.215123\pi\) |
0.292240 | + | 0.956345i | \(0.405600\pi\) | |||||||
\(234\) | 10.9393 | − | 7.81866i | 0.715124 | − | 0.511122i | ||||
\(235\) | 0.0826386 | + | 1.10274i | 0.00539075 | + | 0.0719345i | ||||
\(236\) | −1.41247 | − | 0.212896i | −0.0919442 | − | 0.0138584i | ||||
\(237\) | 20.4484 | + | 7.76522i | 1.32827 | + | 0.504405i | ||||
\(238\) | −4.27364 | + | 2.09801i | −0.277019 | + | 0.135994i | ||||
\(239\) | −1.76853 | − | 23.5994i | −0.114397 | − | 1.52652i | −0.698956 | − | 0.715165i | \(-0.746352\pi\) |
0.584560 | − | 0.811351i | \(-0.301267\pi\) | |||||||
\(240\) | 2.69324 | + | 1.02275i | 0.173848 | + | 0.0660182i | ||||
\(241\) | 1.61538 | − | 7.07743i | 0.104056 | − | 0.455897i | −0.895877 | − | 0.444302i | \(-0.853452\pi\) |
0.999933 | − | 0.0115955i | \(-0.00369105\pi\) | |||||||
\(242\) | 7.42682 | + | 5.06352i | 0.477414 | + | 0.325495i | ||||
\(243\) | −14.9824 | + | 4.30443i | −0.961121 | + | 0.276129i | ||||
\(244\) | 7.44480 | 0.476605 | ||||||||
\(245\) | −10.7728 | + | 7.58574i | −0.688247 | + | 0.484635i | ||||
\(246\) | −3.31445 | + | 11.1834i | −0.211322 | + | 0.713025i | ||||
\(247\) | 14.2942 | + | 17.9244i | 0.909521 | + | 1.14050i | ||||
\(248\) | 1.79809 | − | 23.9939i | 0.114179 | − | 1.52361i | ||||
\(249\) | −2.13715 | − | 1.20253i | −0.135436 | − | 0.0762071i | ||||
\(250\) | 7.61061 | + | 5.18882i | 0.481337 | + | 0.328170i | ||||
\(251\) | −16.7812 | − | 8.08142i | −1.05922 | − | 0.510095i | −0.178604 | − | 0.983921i | \(-0.557158\pi\) |
−0.880618 | + | 0.473826i | \(0.842872\pi\) | |||||||
\(252\) | 7.31478 | + | 8.63345i | 0.460788 | + | 0.543856i | ||||
\(253\) | 19.6081 | − | 9.44276i | 1.23275 | − | 0.593661i | ||||
\(254\) | 6.29144 | + | 0.948282i | 0.394760 | + | 0.0595005i | ||||
\(255\) | 2.36333 | + | 7.37094i | 0.147997 | + | 0.461586i | ||||
\(256\) | 12.5577 | − | 1.89276i | 0.784854 | − | 0.118298i | ||||
\(257\) | −4.90403 | − | 21.4859i | −0.305905 | − | 1.34026i | −0.861057 | − | 0.508508i | \(-0.830197\pi\) |
0.555153 | − | 0.831748i | \(-0.312660\pi\) | |||||||
\(258\) | 4.42897 | + | 3.45246i | 0.275736 | + | 0.214941i | ||||
\(259\) | 5.34473 | − | 24.2604i | 0.332105 | − | 1.50747i | ||||
\(260\) | −9.89440 | + | 12.4072i | −0.613625 | + | 0.769461i | ||||
\(261\) | −2.51171 | + | 4.58181i | −0.155471 | + | 0.283607i | ||||
\(262\) | 9.38561 | − | 8.70857i | 0.579845 | − | 0.538017i | ||||
\(263\) | −31.7515 | −1.95788 | −0.978939 | − | 0.204151i | \(-0.934557\pi\) | ||||
−0.978939 | + | 0.204151i | \(0.934557\pi\) | |||||||
\(264\) | −20.9067 | + | 5.01601i | −1.28672 | + | 0.308714i | ||||
\(265\) | 16.2673 | − | 15.0939i | 0.999294 | − | 0.927209i | ||||
\(266\) | 5.65799 | − | 5.32997i | 0.346913 | − | 0.326802i | ||||
\(267\) | −3.27593 | − | 1.84330i | −0.200484 | − | 0.112808i | ||||
\(268\) | −9.95770 | + | 3.07154i | −0.608263 | + | 0.187624i | ||||
\(269\) | 20.3207 | + | 3.06286i | 1.23898 | + | 0.186746i | 0.735657 | − | 0.677354i | \(-0.236873\pi\) |
0.503321 | + | 0.864100i | \(0.332111\pi\) | |||||||
\(270\) | −6.29256 | + | 3.91728i | −0.382953 | + | 0.238398i | ||||
\(271\) | 19.1052 | + | 17.7270i | 1.16056 | + | 1.07684i | 0.995897 | + | 0.0904890i | \(0.0288430\pi\) |
0.164660 | + | 0.986350i | \(0.447347\pi\) | |||||||
\(272\) | −1.53804 | − | 1.42709i | −0.0932575 | − | 0.0865303i | ||||
\(273\) | −25.0391 | + | 10.3695i | −1.51544 | + | 0.627590i | ||||
\(274\) | −5.57583 | + | 5.17361i | −0.336848 | + | 0.312549i | ||||
\(275\) | 6.96738 | 0.420149 | ||||||||
\(276\) | −3.19380 | + | 10.7763i | −0.192244 | + | 0.648655i | ||||
\(277\) | 0.531425 | + | 2.32832i | 0.0319302 | + | 0.139895i | 0.988381 | − | 0.152000i | \(-0.0485713\pi\) |
−0.956450 | + | 0.291895i | \(0.905714\pi\) | |||||||
\(278\) | −4.02590 | + | 2.74482i | −0.241458 | + | 0.164623i | ||||
\(279\) | −20.7953 | − | 18.4553i | −1.24498 | − | 1.10489i | ||||
\(280\) | 10.7370 | + | 7.20211i | 0.641657 | + | 0.430408i | ||||
\(281\) | −9.79073 | + | 1.47572i | −0.584066 | + | 0.0880338i | −0.434427 | − | 0.900707i | \(-0.643049\pi\) |
−0.149639 | + | 0.988741i | \(0.547811\pi\) | |||||||
\(282\) | 0.769644 | + | 0.0491135i | 0.0458316 | + | 0.00292467i | ||||
\(283\) | 23.5509 | − | 3.54973i | 1.39996 | − | 0.211010i | 0.594706 | − | 0.803943i | \(-0.297268\pi\) |
0.805251 | + | 0.592934i | \(0.202030\pi\) | |||||||
\(284\) | −2.87788 | + | 1.96210i | −0.170771 | + | 0.116430i | ||||
\(285\) | −7.23450 | − | 10.3626i | −0.428535 | − | 0.613830i | ||||
\(286\) | 1.60146 | − | 21.3700i | 0.0946962 | − | 1.26363i | ||||
\(287\) | 11.6007 | − | 20.4482i | 0.684765 | − | 1.20702i | ||||
\(288\) | 8.45373 | − | 15.4212i | 0.498141 | − | 0.908700i | ||||
\(289\) | −0.849129 | + | 11.3308i | −0.0499488 | + | 0.666520i | ||||
\(290\) | −0.552856 | + | 2.42222i | −0.0324648 | + | 0.142238i | ||||
\(291\) | −1.03487 | − | 6.38532i | −0.0606650 | − | 0.374314i | ||||
\(292\) | 6.49041 | + | 8.13872i | 0.379823 | + | 0.476283i | ||||
\(293\) | −5.42286 | − | 9.39267i | −0.316807 | − | 0.548726i | 0.663013 | − | 0.748608i | \(-0.269277\pi\) |
−0.979820 | + | 0.199882i | \(0.935944\pi\) | |||||||
\(294\) | 4.20223 | + | 8.17152i | 0.245079 | + | 0.476573i | ||||
\(295\) | −0.942960 | + | 1.63326i | −0.0549013 | + | 0.0950918i | ||||
\(296\) | −24.1045 | + | 3.63317i | −1.40105 | + | 0.211174i | ||||
\(297\) | −10.0301 | + | 22.7295i | −0.582006 | + | 1.31890i | ||||
\(298\) | −13.8925 | + | 4.28527i | −0.804770 | + | 0.248239i | ||||
\(299\) | −22.2418 | − | 15.1642i | −1.28628 | − | 0.876969i | ||||
\(300\) | −2.41809 | + | 2.66466i | −0.139609 | + | 0.153844i | ||||
\(301\) | −7.12367 | − | 8.79562i | −0.410601 | − | 0.506971i | ||||
\(302\) | 4.87623 | + | 3.32456i | 0.280596 | + | 0.191307i | ||||
\(303\) | 4.19269 | − | 8.95863i | 0.240864 | − | 0.514660i | ||||
\(304\) | 3.08642 | + | 1.48634i | 0.177018 | + | 0.0852475i | ||||
\(305\) | 3.59101 | − | 9.14975i | 0.205621 | − | 0.523913i | ||||
\(306\) | 5.31887 | − | 0.922581i | 0.304060 | − | 0.0527405i | ||||
\(307\) | 8.91959 | + | 11.1848i | 0.509068 | + | 0.638351i | 0.968248 | − | 0.249992i | \(-0.0804281\pi\) |
−0.459180 | + | 0.888343i | \(0.651857\pi\) | |||||||
\(308\) | 18.0337 | − | 0.136277i | 1.02757 | − | 0.00776508i | ||||
\(309\) | 7.62247 | − | 16.2871i | 0.433627 | − | 0.926543i | ||||
\(310\) | −11.9113 | − | 5.73617i | −0.676515 | − | 0.325792i | ||||
\(311\) | −5.54296 | − | 1.70978i | −0.314312 | − | 0.0969525i | 0.133585 | − | 0.991037i | \(-0.457351\pi\) |
−0.447898 | + | 0.894085i | \(0.647827\pi\) | |||||||
\(312\) | 18.3031 | + | 19.2931i | 1.03621 | + | 1.09226i | ||||
\(313\) | −1.08985 | − | 1.88768i | −0.0616021 | − | 0.106698i | 0.833580 | − | 0.552399i | \(-0.186288\pi\) |
−0.895182 | + | 0.445701i | \(0.852954\pi\) | |||||||
\(314\) | 1.28143 | + | 5.61430i | 0.0723152 | + | 0.316834i | ||||
\(315\) | 14.1389 | − | 4.82558i | 0.796637 | − | 0.271891i | ||||
\(316\) | −4.00616 | + | 17.5521i | −0.225364 | + | 0.987385i | ||||
\(317\) | 11.5510 | − | 3.56300i | 0.648767 | − | 0.200118i | 0.0471311 | − | 0.998889i | \(-0.484992\pi\) |
0.601636 | + | 0.798771i | \(0.294516\pi\) | |||||||
\(318\) | −8.85915 | − | 12.6898i | −0.496796 | − | 0.711608i | ||||
\(319\) | 3.04239 | + | 7.75188i | 0.170341 | + | 0.434022i | ||||
\(320\) | 1.12053 | − | 4.90938i | 0.0626398 | − | 0.274443i | ||||
\(321\) | 23.1399 | + | 13.0203i | 1.29154 | + | 0.726724i | ||||
\(322\) | −4.50364 | + | 7.93847i | −0.250978 | + | 0.442394i | ||||
\(323\) | 2.04814 | + | 8.97350i | 0.113962 | + | 0.499299i | ||||
\(324\) | −5.21181 | − | 11.7245i | −0.289545 | − | 0.651359i | ||||
\(325\) | −4.30902 | − | 7.46344i | −0.239021 | − | 0.413997i | ||||
\(326\) | −3.86910 | − | 16.9516i | −0.214290 | − | 0.938865i | ||||
\(327\) | 5.74241 | + | 17.9099i | 0.317556 | + | 0.990420i | ||||
\(328\) | −22.8116 | − | 3.43830i | −1.25956 | − | 0.189848i | ||||
\(329\) | −1.48877 | − | 0.446932i | −0.0820785 | − | 0.0246402i | ||||
\(330\) | −1.63123 | + | 11.7001i | −0.0897961 | + | 0.644071i | ||||
\(331\) | 13.4294 | − | 12.4607i | 0.738147 | − | 0.684901i | −0.218602 | − | 0.975814i | \(-0.570150\pi\) |
0.956749 | + | 0.290913i | \(0.0939592\pi\) | |||||||
\(332\) | 0.737406 | − | 1.87888i | 0.0404704 | − | 0.103117i | ||||
\(333\) | −13.5405 | + | 24.7004i | −0.742016 | + | 1.35357i | ||||
\(334\) | −0.137853 | − | 0.351244i | −0.00754299 | − | 0.0192192i | ||||
\(335\) | −1.02815 | + | 13.7197i | −0.0561737 | + | 0.749587i | ||||
\(336\) | −2.69860 | + | 3.01931i | −0.147221 | + | 0.164717i | ||||
\(337\) | 0.663178 | + | 8.84949i | 0.0361256 | + | 0.482063i | 0.985699 | + | 0.168517i | \(0.0538978\pi\) |
−0.949573 | + | 0.313546i | \(0.898483\pi\) | |||||||
\(338\) | −15.0053 | + | 7.22615i | −0.816178 | + | 0.393051i | ||||
\(339\) | −14.1653 | + | 8.38881i | −0.769352 | + | 0.455618i | ||||
\(340\) | −5.74020 | + | 2.76434i | −0.311306 | + | 0.149917i | ||||
\(341\) | −43.8172 | + | 6.60439i | −2.37284 | + | 0.357648i | ||||
\(342\) | −7.85441 | + | 3.99911i | −0.424718 | + | 0.216247i | ||||
\(343\) | −4.52938 | − | 17.9579i | −0.244563 | − | 0.969633i | ||||
\(344\) | −5.55326 | + | 9.61853i | −0.299412 | + | 0.518596i | ||||
\(345\) | 11.7036 | + | 9.12316i | 0.630102 | + | 0.491175i | ||||
\(346\) | −0.376808 | + | 5.02815i | −0.0202573 | + | 0.270315i | ||||
\(347\) | −24.8772 | − | 23.0827i | −1.33548 | − | 1.23914i | −0.948392 | − | 0.317100i | \(-0.897291\pi\) |
−0.387086 | − | 0.922043i | \(-0.626519\pi\) | |||||||
\(348\) | −4.02058 | − | 1.52680i | −0.215526 | − | 0.0818453i | ||||
\(349\) | −11.6180 | + | 7.92103i | −0.621898 | + | 0.424003i | −0.832854 | − | 0.553492i | \(-0.813295\pi\) |
0.210956 | + | 0.977496i | \(0.432342\pi\) | |||||||
\(350\) | −2.40172 | + | 1.66419i | −0.128377 | + | 0.0889545i | ||||
\(351\) | 30.5510 | − | 3.31297i | 1.63069 | − | 0.176833i | ||||
\(352\) | −10.2399 | − | 26.0907i | −0.545786 | − | 1.39064i | ||||
\(353\) | −8.02772 | − | 3.86595i | −0.427273 | − | 0.205764i | 0.207873 | − | 0.978156i | \(-0.433346\pi\) |
−0.635146 | + | 0.772392i | \(0.719060\pi\) | |||||||
\(354\) | 1.03732 | + | 0.808609i | 0.0551330 | + | 0.0429771i | ||||
\(355\) | 1.02330 | + | 4.48337i | 0.0543111 | + | 0.237953i | ||||
\(356\) | 1.13034 | − | 2.88005i | 0.0599077 | − | 0.152642i | ||||
\(357\) | −10.8633 | − | 0.610839i | −0.574949 | − | 0.0323290i | ||||
\(358\) | 0.419987 | + | 1.07011i | 0.0221970 | + | 0.0565570i | ||||
\(359\) | −2.59762 | + | 1.77103i | −0.137097 | + | 0.0934713i | −0.629927 | − | 0.776655i | \(-0.716915\pi\) |
0.492829 | + | 0.870126i | \(0.335963\pi\) | |||||||
\(360\) | −9.39183 | − | 11.2563i | −0.494993 | − | 0.593260i | ||||
\(361\) | 1.98601 | + | 3.43987i | 0.104527 | + | 0.181046i | ||||
\(362\) | −6.88126 | − | 11.9187i | −0.361671 | − | 0.626433i | ||||
\(363\) | 9.11763 | + | 18.4087i | 0.478551 | + | 0.966206i | ||||
\(364\) | −11.2991 | − | 19.2334i | −0.592232 | − | 1.00811i | ||||
\(365\) | 13.1332 | − | 4.05107i | 0.687425 | − | 0.212043i | ||||
\(366\) | −5.97413 | − | 3.36152i | −0.312273 | − | 0.175710i | ||||
\(367\) | −21.8897 | + | 27.4488i | −1.14263 | + | 1.43281i | −0.258233 | + | 0.966083i | \(0.583140\pi\) |
−0.884399 | + | 0.466732i | \(0.845431\pi\) | |||||||
\(368\) | −3.97740 | − | 0.599497i | −0.207336 | − | 0.0312509i | ||||
\(369\) | −19.1350 | + | 18.5600i | −0.996129 | + | 0.966193i | ||||
\(370\) | −2.98043 | + | 13.0581i | −0.154945 | + | 0.678859i | ||||
\(371\) | 11.6152 | + | 28.9499i | 0.603032 | + | 1.50300i | ||||
\(372\) | 12.6813 | − | 19.0499i | 0.657496 | − | 0.987693i | ||||
\(373\) | −0.300864 | −0.0155781 | −0.00778907 | − | 0.999970i | \(-0.502479\pi\) | ||||
−0.00778907 | + | 0.999970i | \(0.502479\pi\) | |||||||
\(374\) | 4.30177 | − | 7.45089i | 0.222439 | − | 0.385276i | ||||
\(375\) | 9.34326 | + | 18.8642i | 0.482484 | + | 0.974145i | ||||
\(376\) | 0.113985 | + | 1.52102i | 0.00587833 | + | 0.0784408i | ||||
\(377\) | 6.42221 | − | 8.05320i | 0.330761 | − | 0.414761i | ||||
\(378\) | −1.97156 | − | 10.2308i | −0.101406 | − | 0.526215i | ||||
\(379\) | 12.1334 | + | 15.2148i | 0.623249 | + | 0.781529i | 0.988798 | − | 0.149263i | \(-0.0476901\pi\) |
−0.365549 | + | 0.930792i | \(0.619119\pi\) | |||||||
\(380\) | 7.62542 | − | 7.07535i | 0.391176 | − | 0.362958i | ||||
\(381\) | 11.4683 | + | 8.93970i | 0.587537 | + | 0.457995i | ||||
\(382\) | 5.53023 | − | 3.77044i | 0.282951 | − | 0.192913i | ||||
\(383\) | 2.01122 | − | 2.52200i | 0.102769 | − | 0.128868i | −0.727787 | − | 0.685803i | \(-0.759451\pi\) |
0.830556 | + | 0.556935i | \(0.188023\pi\) | |||||||
\(384\) | 15.7010 | + | 5.96242i | 0.801240 | + | 0.304269i | ||||
\(385\) | 8.53111 | − | 22.2294i | 0.434786 | − | 1.13292i | ||||
\(386\) | −3.41985 | − | 1.64691i | −0.174066 | − | 0.0838256i | ||||
\(387\) | 4.95220 | + | 11.8401i | 0.251734 | + | 0.601866i | ||||
\(388\) | 5.08771 | − | 1.56935i | 0.258289 | − | 0.0796718i | ||||
\(389\) | 3.08779 | − | 1.48700i | 0.156557 | − | 0.0753940i | −0.353964 | − | 0.935259i | \(-0.615167\pi\) |
0.510522 | + | 0.859865i | \(0.329452\pi\) | |||||||
\(390\) | 13.5420 | − | 5.48865i | 0.685725 | − | 0.277929i | ||||
\(391\) | −5.40371 | − | 9.35950i | −0.273277 | − | 0.473330i | ||||
\(392\) | −14.8591 | + | 10.4632i | −0.750497 | + | 0.528469i | ||||
\(393\) | 28.4537 | − | 6.82671i | 1.43530 | − | 0.344362i | ||||
\(394\) | 1.48057 | − | 3.77244i | 0.0745902 | − | 0.190053i | ||||
\(395\) | 19.6394 | + | 13.3899i | 0.988165 | + | 0.673720i | ||||
\(396\) | −19.6691 | − | 5.59324i | −0.988410 | − | 0.281071i | ||||
\(397\) | 1.61785 | − | 21.5887i | 0.0811975 | − | 1.08351i | −0.796611 | − | 0.604493i | \(-0.793376\pi\) |
0.877808 | − | 0.479012i | \(-0.159005\pi\) | |||||||
\(398\) | −2.60809 | + | 1.77817i | −0.130732 | + | 0.0891315i | ||||
\(399\) | 17.2427 | − | 4.27499i | 0.863217 | − | 0.214017i | ||||
\(400\) | −1.06396 | − | 0.725398i | −0.0531982 | − | 0.0362699i | ||||
\(401\) | −1.40479 | + | 1.76155i | −0.0701517 | + | 0.0879675i | −0.815669 | − | 0.578519i | \(-0.803631\pi\) |
0.745517 | + | 0.666486i | \(0.232202\pi\) | |||||||
\(402\) | 9.37750 | + | 2.03138i | 0.467707 | + | 0.101316i | ||||
\(403\) | 34.1737 | + | 42.8524i | 1.70231 | + | 2.13463i | ||||
\(404\) | 7.77962 | + | 2.39970i | 0.387051 | + | 0.119389i | ||||
\(405\) | −16.9234 | + | 0.750060i | −0.840931 | + | 0.0372708i | ||||
\(406\) | −2.90030 | − | 1.94545i | −0.143940 | − | 0.0965513i | ||||
\(407\) | 16.4014 | + | 41.7901i | 0.812988 | + | 2.07146i | ||||
\(408\) | 3.25978 | + | 10.1669i | 0.161383 | + | 0.503335i | ||||
\(409\) | −10.8316 | − | 3.34109i | −0.535586 | − | 0.165206i | 0.0151511 | − | 0.999885i | \(-0.495177\pi\) |
−0.550737 | + | 0.834679i | \(0.685653\pi\) | |||||||
\(410\) | −6.33776 | + | 10.9773i | −0.313000 | + | 0.542131i | ||||
\(411\) | −16.9039 | + | 4.05563i | −0.833806 | + | 0.200050i | ||||
\(412\) | 14.1437 | + | 4.36274i | 0.696808 | + | 0.214937i | ||||
\(413\) | −1.66845 | − | 2.06004i | −0.0820991 | − | 0.101368i | ||||
\(414\) | 7.42865 | − | 7.20541i | 0.365098 | − | 0.354126i | ||||
\(415\) | −1.95348 | − | 1.81256i | −0.0958924 | − | 0.0889751i | ||||
\(416\) | −21.6154 | + | 27.1049i | −1.05978 | + | 1.32893i | ||||
\(417\) | −11.0948 | + | 0.955090i | −0.543314 | + | 0.0467709i | ||||
\(418\) | −3.12579 | + | 13.6950i | −0.152887 | + | 0.669843i | ||||
\(419\) | 9.90285 | − | 3.05462i | 0.483786 | − | 0.149228i | −0.0432621 | − | 0.999064i | \(-0.513775\pi\) |
0.527048 | + | 0.849836i | \(0.323299\pi\) | |||||||
\(420\) | 5.54079 | + | 10.9776i | 0.270363 | + | 0.535653i | ||||
\(421\) | −20.7157 | − | 6.38993i | −1.00962 | − | 0.311426i | −0.254542 | − | 0.967062i | \(-0.581925\pi\) |
−0.755077 | + | 0.655636i | \(0.772401\pi\) | |||||||
\(422\) | 1.55027 | − | 2.68515i | 0.0754660 | − | 0.130711i | ||||
\(423\) | 1.47790 | + | 0.960378i | 0.0718580 | + | 0.0466952i | ||||
\(424\) | 22.4378 | − | 20.8193i | 1.08968 | − | 1.01107i | ||||
\(425\) | −0.258560 | − | 3.45024i | −0.0125420 | − | 0.167361i | ||||
\(426\) | 3.19532 | − | 0.275067i | 0.154814 | − | 0.0133270i | ||||
\(427\) | 10.1989 | + | 9.32075i | 0.493558 | + | 0.451063i | ||||
\(428\) | −7.98425 | + | 20.3435i | −0.385933 | + | 0.983341i | ||||
\(429\) | 27.1395 | − | 40.7690i | 1.31031 | − | 1.96835i | ||||
\(430\) | 3.80486 | + | 4.77114i | 0.183487 | + | 0.230085i | ||||
\(431\) | −0.960930 | − | 12.8227i | −0.0462864 | − | 0.617649i | −0.971322 | − | 0.237768i | \(-0.923584\pi\) |
0.925036 | − | 0.379881i | \(-0.124035\pi\) | |||||||
\(432\) | 3.89811 | − | 2.42667i | 0.187548 | − | 0.116753i | ||||
\(433\) | −11.6241 | + | 5.59789i | −0.558620 | + | 0.269017i | −0.691818 | − | 0.722072i | \(-0.743190\pi\) |
0.133198 | + | 0.991090i | \(0.457476\pi\) | |||||||
\(434\) | 13.5267 | − | 12.7425i | 0.649303 | − | 0.611660i | ||||
\(435\) | −3.81579 | + | 4.20488i | −0.182953 | + | 0.201609i | ||||
\(436\) | −13.9476 | + | 6.71679i | −0.667967 | + | 0.321676i | ||||
\(437\) | 12.9351 | + | 12.0020i | 0.618767 | + | 0.574132i | ||||
\(438\) | −1.53343 | − | 9.46156i | −0.0732702 | − | 0.452091i | ||||
\(439\) | −0.0281167 | + | 0.0716402i | −0.00134194 | + | 0.00341920i | −0.931543 | − | 0.363631i | \(-0.881537\pi\) |
0.930201 | + | 0.367050i | \(0.119632\pi\) | |||||||
\(440\) | −23.3642 | −1.11384 | ||||||||
\(441\) | −0.788169 | + | 20.9852i | −0.0375319 | + | 0.999295i | ||||
\(442\) | −10.6418 | −0.506181 | ||||||||
\(443\) | 13.1485 | − | 33.5018i | 0.624703 | − | 1.59172i | −0.170488 | − | 0.985360i | \(-0.554534\pi\) |
0.795191 | − | 0.606358i | \(-0.207370\pi\) | |||||||
\(444\) | −21.6748 | − | 8.23095i | −1.02864 | − | 0.390623i | ||||
\(445\) | −2.99439 | − | 2.77839i | −0.141948 | − | 0.131708i | ||||
\(446\) | −8.07342 | + | 3.88795i | −0.382287 | + | 0.184100i | ||||
\(447\) | −32.4730 | − | 7.03439i | −1.53592 | − | 0.332715i | ||||
\(448\) | 5.87836 | + | 3.94306i | 0.277727 | + | 0.186292i | ||||
\(449\) | −30.3297 | + | 14.6060i | −1.43135 | + | 0.689301i | −0.979248 | − | 0.202665i | \(-0.935040\pi\) |
−0.452101 | + | 0.891967i | \(0.649325\pi\) | |||||||
\(450\) | 3.14358 | − | 1.04644i | 0.148190 | − | 0.0493298i | ||||
\(451\) | 3.17494 | + | 42.3667i | 0.149502 | + | 1.99497i | ||||
\(452\) | −8.44854 | − | 10.5941i | −0.397386 | − | 0.498306i | ||||
\(453\) | 5.98637 | + | 12.0866i | 0.281264 | + | 0.567878i | ||||
\(454\) | 6.30899 | − | 16.0750i | 0.296095 | − | 0.754439i | ||||
\(455\) | −29.0882 | + | 4.60940i | −1.36368 | + | 0.216092i | ||||
\(456\) | −9.97868 | − | 14.2934i | −0.467294 | − | 0.669349i | ||||
\(457\) | 0.111907 | + | 1.49329i | 0.00523477 | + | 0.0698532i | 0.999209 | − | 0.0397577i | \(-0.0126586\pi\) |
−0.993975 | + | 0.109611i | \(0.965040\pi\) | |||||||
\(458\) | −0.544750 | + | 0.505454i | −0.0254545 | + | 0.0236183i | ||||
\(459\) | 11.6279 | + | 4.12341i | 0.542742 | + | 0.192464i | ||||
\(460\) | −6.10705 | + | 10.5777i | −0.284743 | + | 0.493189i | ||||
\(461\) | 1.79960 | + | 0.555104i | 0.0838158 | + | 0.0258538i | 0.336379 | − | 0.941727i | \(-0.390798\pi\) |
−0.252564 | + | 0.967580i | \(0.581274\pi\) | |||||||
\(462\) | −14.5328 | − | 8.03335i | −0.676128 | − | 0.373745i | ||||
\(463\) | −11.3234 | + | 3.49281i | −0.526244 | + | 0.162325i | −0.546483 | − | 0.837470i | \(-0.684034\pi\) |
0.0202388 | + | 0.999795i | \(0.493557\pi\) | |||||||
\(464\) | 0.342483 | − | 1.50052i | 0.0158994 | − | 0.0696597i | ||||
\(465\) | −17.2957 | − | 24.7743i | −0.802070 | − | 1.14888i | ||||
\(466\) | 8.09483 | − | 10.1506i | 0.374986 | − | 0.470217i | ||||
\(467\) | −13.5592 | − | 12.5811i | −0.627445 | − | 0.582184i | 0.301013 | − | 0.953620i | \(-0.402675\pi\) |
−0.928459 | + | 0.371436i | \(0.878866\pi\) | |||||||
\(468\) | 6.17302 | + | 24.5287i | 0.285348 | + | 1.13384i | ||||
\(469\) | −17.4869 | − | 8.25904i | −0.807469 | − | 0.381367i | ||||
\(470\) | 0.800843 | + | 0.247027i | 0.0369401 | + | 0.0113945i | ||||
\(471\) | −3.73977 | + | 12.6185i | −0.172320 | + | 0.581428i | ||||
\(472\) | −1.30064 | + | 2.25278i | −0.0598670 | + | 0.103693i | ||||
\(473\) | 19.5455 | + | 6.02900i | 0.898705 | + | 0.277214i | ||||
\(474\) | 11.1400 | − | 12.2759i | 0.511678 | − | 0.563853i | ||||
\(475\) | 2.06384 | + | 5.25857i | 0.0946954 | + | 0.241280i | ||||
\(476\) | −0.736718 | − | 8.92525i | −0.0337674 | − | 0.409088i | ||||
\(477\) | −3.42357 | − | 35.2036i | −0.156755 | − | 1.61186i | ||||
\(478\) | −17.1386 | − | 5.28657i | −0.783902 | − | 0.241802i | ||||
\(479\) | 10.3209 | + | 12.9420i | 0.471576 | + | 0.591337i | 0.959556 | − | 0.281517i | \(-0.0908377\pi\) |
−0.487981 | + | 0.872855i | \(0.662266\pi\) | |||||||
\(480\) | 12.8429 | − | 14.1525i | 0.586196 | − | 0.645970i | ||||
\(481\) | 34.6219 | − | 43.4145i | 1.57862 | − | 1.97953i | ||||
\(482\) | −4.54574 | − | 3.09923i | −0.207053 | − | 0.141166i | ||||
\(483\) | −17.8670 | + | 10.7642i | −0.812975 | + | 0.489787i | ||||
\(484\) | −13.9706 | + | 9.52496i | −0.635025 | + | 0.432953i | ||||
\(485\) | 0.525314 | − | 7.00983i | 0.0238533 | − | 0.318300i | ||||
\(486\) | −1.11165 | + | 11.7616i | −0.0504254 | + | 0.533519i | ||||
\(487\) | 3.47655 | + | 2.37027i | 0.157537 | + | 0.107407i | 0.639523 | − | 0.768772i | \(-0.279132\pi\) |
−0.481986 | + | 0.876179i | \(0.660084\pi\) | |||||||
\(488\) | 4.95315 | − | 12.6204i | 0.224219 | − | 0.571299i | ||||
\(489\) | 11.2917 | − | 38.0997i | 0.510631 | − | 1.72293i | ||||
\(490\) | 2.36883 | + | 9.70036i | 0.107013 | + | 0.438218i | ||||
\(491\) | 13.3357 | + | 23.0980i | 0.601830 | + | 1.04240i | 0.992544 | + | 0.121887i | \(0.0388947\pi\) |
−0.390714 | + | 0.920512i | \(0.627772\pi\) | |||||||
\(492\) | −17.3049 | − | 13.4895i | −0.780167 | − | 0.608153i | ||||
\(493\) | 3.72582 | − | 1.79426i | 0.167803 | − | 0.0808095i | ||||
\(494\) | 16.6032 | − | 5.12141i | 0.747013 | − | 0.230423i | ||||
\(495\) | −16.3616 | + | 21.4757i | −0.735398 | + | 0.965259i | ||||
\(496\) | 7.37879 | + | 3.55344i | 0.331317 | + | 0.159554i | ||||
\(497\) | −6.39902 | − | 0.915099i | −0.287035 | − | 0.0410478i | ||||
\(498\) | −1.44010 | + | 1.17476i | −0.0645324 | + | 0.0526424i | ||||
\(499\) | −1.33315 | + | 1.67172i | −0.0596801 | + | 0.0748365i | −0.810776 | − | 0.585357i | \(-0.800954\pi\) |
0.751096 | + | 0.660194i | \(0.229526\pi\) | |||||||
\(500\) | −14.3163 | + | 9.76067i | −0.640243 | + | 0.436510i | ||||
\(501\) | 0.119077 | − | 0.854088i | 0.00531995 | − | 0.0381578i | ||||
\(502\) | −10.3477 | + | 9.60129i | −0.461842 | + | 0.428526i | ||||
\(503\) | −10.5084 | − | 13.1771i | −0.468545 | − | 0.587537i | 0.490269 | − | 0.871571i | \(-0.336898\pi\) |
−0.958814 | + | 0.284034i | \(0.908327\pi\) | |||||||
\(504\) | 19.5021 | − | 6.65602i | 0.868690 | − | 0.296483i | ||||
\(505\) | 6.70176 | − | 8.40375i | 0.298225 | − | 0.373962i | ||||
\(506\) | −1.23259 | − | 16.4477i | −0.0547951 | − | 0.731190i | ||||
\(507\) | −37.9853 | − | 2.42397i | −1.68699 | − | 0.107652i | ||||
\(508\) | −5.98424 | + | 10.3650i | −0.265508 | + | 0.459873i | ||||
\(509\) | 20.6314 | 0.914471 | 0.457236 | − | 0.889346i | \(-0.348840\pi\) | ||||
0.457236 | + | 0.889346i | \(0.348840\pi\) | |||||||
\(510\) | 5.85443 | + | 0.373591i | 0.259239 | + | 0.0165429i | ||||
\(511\) | −1.29809 | + | 19.2754i | −0.0574243 | + | 0.852692i | ||||
\(512\) | −2.17372 | + | 9.52369i | −0.0960658 | + | 0.420892i | ||||
\(513\) | −20.1260 | − | 0.837339i | −0.888583 | − | 0.0369694i | ||||
\(514\) | −16.5158 | − | 2.48936i | −0.728481 | − | 0.109801i | ||||
\(515\) | 12.1841 | − | 15.2783i | 0.536894 | − | 0.673244i | ||||
\(516\) | −9.08924 | + | 5.38274i | −0.400131 | + | 0.236962i | ||||
\(517\) | 2.68424 | − | 0.827979i | 0.118053 | − | 0.0364145i | ||||
\(518\) | −15.6354 | − | 10.4879i | −0.686982 | − | 0.460811i | ||||
\(519\) | −6.38566 | + | 9.59255i | −0.280299 | + | 0.421066i | ||||
\(520\) | 14.4497 | + | 25.0277i | 0.633663 | + | 1.09754i | ||||
\(521\) | −1.38912 | − | 2.40602i | −0.0608583 | − | 0.105410i | 0.833991 | − | 0.551778i | \(-0.186050\pi\) |
−0.894849 | + | 0.446368i | \(0.852717\pi\) | |||||||
\(522\) | 2.53695 | + | 3.04059i | 0.111039 | + | 0.133083i | ||||
\(523\) | 17.6852 | − | 12.0576i | 0.773321 | − | 0.527242i | −0.111168 | − | 0.993802i | \(-0.535459\pi\) |
0.884490 | + | 0.466560i | \(0.154507\pi\) | |||||||
\(524\) | 8.79907 | + | 22.4197i | 0.384389 | + | 0.979407i | ||||
\(525\) | −6.64872 | + | 0.623000i | −0.290174 | + | 0.0271899i | ||||
\(526\) | −8.79140 | + | 22.4001i | −0.383323 | + | 0.976692i | ||||
\(527\) | 4.89655 | + | 21.4532i | 0.213297 | + | 0.934516i | ||||
\(528\) | 1.01051 | − | 7.24799i | 0.0439769 | − | 0.315428i | ||||
\(529\) | 2.05522 | + | 0.989744i | 0.0893576 | + | 0.0430323i | ||||
\(530\) | −6.14435 | − | 15.6555i | −0.266894 | − | 0.680034i | ||||
\(531\) | 1.15987 | + | 2.77310i | 0.0503339 | + | 0.120342i | ||||
\(532\) | 5.44471 | + | 13.5705i | 0.236058 | + | 0.588354i | ||||
\(533\) | 43.4195 | − | 29.6029i | 1.88071 | − | 1.28225i | ||||
\(534\) | −2.20746 | + | 1.80074i | −0.0955263 | + | 0.0779256i | ||||
\(535\) | 21.1512 | + | 19.6255i | 0.914447 | + | 0.848482i | ||||
\(536\) | −1.41814 | + | 18.9238i | −0.0612545 | + | 0.817385i | ||||
\(537\) | −0.362782 | + | 2.60209i | −0.0156552 | + | 0.112288i | ||||
\(538\) | 7.78724 | − | 13.4879i | 0.335732 | − | 0.581505i | ||||
\(539\) | 24.8756 | + | 22.3912i | 1.07147 | + | 0.964457i | ||||
\(540\) | −2.53489 | − | 13.7108i | −0.109084 | − | 0.590018i | ||||
\(541\) | 10.3778 | − | 1.56420i | 0.446176 | − | 0.0672502i | 0.0778882 | − | 0.996962i | \(-0.475182\pi\) |
0.368288 | + | 0.929712i | \(0.379944\pi\) | |||||||
\(542\) | 17.7960 | − | 8.57010i | 0.764403 | − | 0.368117i | ||||
\(543\) | −0.348271 | − | 31.4511i | −0.0149457 | − | 1.34970i | ||||
\(544\) | −12.5401 | + | 6.03900i | −0.537653 | + | 0.258920i | ||||
\(545\) | 1.52739 | + | 20.3815i | 0.0654260 | + | 0.873050i | ||||
\(546\) | 0.382618 | + | 20.5358i | 0.0163745 | + | 0.878852i | ||||
\(547\) | −1.00022 | + | 13.3470i | −0.0427663 | + | 0.570677i | 0.934126 | + | 0.356944i | \(0.116181\pi\) |
−0.976892 | + | 0.213733i | \(0.931438\pi\) | |||||||
\(548\) | −5.22738 | − | 13.3191i | −0.223302 | − | 0.568965i | ||||
\(549\) | −8.13169 | − | 13.3907i | −0.347052 | − | 0.571500i | ||||
\(550\) | 1.92914 | − | 4.91537i | 0.0822588 | − | 0.209592i | ||||
\(551\) | −4.94947 | + | 4.59244i | −0.210854 | + | 0.195644i | ||||
\(552\) | 16.1430 | + | 12.5838i | 0.687093 | + | 0.535600i | ||||
\(553\) | −27.4631 | + | 19.0296i | −1.16785 | + | 0.809221i | ||||
\(554\) | 1.78974 | + | 0.269759i | 0.0760386 | + | 0.0114610i | ||||
\(555\) | −20.5708 | + | 22.6684i | −0.873182 | + | 0.962218i | ||||
\(556\) | −2.03957 | − | 8.93596i | −0.0864972 | − | 0.378969i | ||||
\(557\) | 18.1941 | + | 31.5131i | 0.770909 | + | 1.33525i | 0.937066 | + | 0.349154i | \(0.113531\pi\) |
−0.166157 | + | 0.986099i | \(0.553136\pi\) | |||||||
\(558\) | −18.7778 | + | 9.56079i | −0.794926 | + | 0.404741i | ||||
\(559\) | −5.62981 | − | 24.6658i | −0.238116 | − | 1.04325i | ||||
\(560\) | −3.61714 | + | 2.50637i | −0.152852 | + | 0.105913i | ||||
\(561\) | 16.9185 | − | 10.0193i | 0.714298 | − | 0.423014i | ||||
\(562\) | −1.66978 | + | 7.31580i | −0.0704356 | + | 0.308598i | ||||
\(563\) | −5.28089 | − | 13.4555i | −0.222563 | − | 0.567081i | 0.775359 | − | 0.631521i | \(-0.217569\pi\) |
−0.997922 | + | 0.0644401i | \(0.979474\pi\) | |||||||
\(564\) | −0.614932 | + | 1.31394i | −0.0258933 | + | 0.0553269i | ||||
\(565\) | −17.0955 | + | 5.27326i | −0.719212 | + | 0.221848i | ||||
\(566\) | 4.01655 | − | 17.5976i | 0.168828 | − | 0.739684i | ||||
\(567\) | 7.53898 | − | 22.5868i | 0.316607 | − | 0.948557i | ||||
\(568\) | 1.41146 | + | 6.18400i | 0.0592234 | + | 0.259475i | ||||
\(569\) | −14.5970 | − | 25.2828i | −0.611939 | − | 1.05991i | −0.990913 | − | 0.134502i | \(-0.957056\pi\) |
0.378974 | − | 0.925407i | \(-0.376277\pi\) | |||||||
\(570\) | −9.31377 | + | 2.23459i | −0.390111 | + | 0.0935967i | ||||
\(571\) | −4.06249 | − | 1.25311i | −0.170010 | − | 0.0524412i | 0.208582 | − | 0.978005i | \(-0.433115\pi\) |
−0.378592 | + | 0.925564i | \(0.623592\pi\) | |||||||
\(572\) | 36.3196 | + | 17.4906i | 1.51860 | + | 0.731318i | ||||
\(573\) | 15.2405 | − | 1.31197i | 0.636680 | − | 0.0548083i | ||||
\(574\) | −11.2139 | − | 13.8458i | −0.468058 | − | 0.577913i | ||||
\(575\) | −4.13561 | − | 5.18589i | −0.172467 | − | 0.216266i | ||||
\(576\) | −5.14191 | − | 6.16269i | −0.214246 | − | 0.256779i | ||||
\(577\) | 7.40996 | − | 18.8803i | 0.308481 | − | 0.785996i | −0.689607 | − | 0.724184i | \(-0.742217\pi\) |
0.998088 | − | 0.0618122i | \(-0.0196880\pi\) | |||||||
\(578\) | 7.75861 | + | 3.73635i | 0.322716 | + | 0.155412i | ||||
\(579\) | −4.96578 | − | 7.11294i | −0.206371 | − | 0.295604i | ||||
\(580\) | −3.86151 | − | 2.63274i | −0.160341 | − | 0.109318i | ||||
\(581\) | 3.36252 | − | 1.65072i | 0.139501 | − | 0.0684834i | ||||
\(582\) | −4.79127 | − | 1.03790i | −0.198605 | − | 0.0430222i | ||||
\(583\) | −46.5755 | − | 31.7547i | −1.92896 | − | 1.31514i | ||||
\(584\) | 18.1149 | − | 5.58771i | 0.749601 | − | 0.231221i | ||||
\(585\) | 33.1236 | + | 4.24474i | 1.36949 | + | 0.175498i | ||||
\(586\) | −8.12787 | + | 1.22508i | −0.335759 | + | 0.0506075i | ||||
\(587\) | −6.39302 | + | 11.0730i | −0.263868 | + | 0.457033i | −0.967266 | − | 0.253763i | \(-0.918332\pi\) |
0.703398 | + | 0.710796i | \(0.251665\pi\) | |||||||
\(588\) | −17.1968 | + | 1.74256i | −0.709183 | + | 0.0718620i | ||||
\(589\) | −17.9639 | − | 31.1144i | −0.740190 | − | 1.28205i | ||||
\(590\) | 0.891146 | + | 1.11746i | 0.0366879 | + | 0.0460052i | ||||
\(591\) | 7.17679 | − | 5.85447i | 0.295214 | − | 0.240821i | ||||
\(592\) | 1.84631 | − | 8.08923i | 0.0758831 | − | 0.332465i | ||||
\(593\) | −0.577069 | + | 7.70045i | −0.0236974 | + | 0.316220i | 0.972741 | + | 0.231895i | \(0.0744924\pi\) |
−0.996438 | + | 0.0843250i | \(0.973127\pi\) | |||||||
\(594\) | 13.2581 | + | 13.3695i | 0.543987 | + | 0.548555i | ||||
\(595\) | −11.3246 | − | 3.39967i | −0.464263 | − | 0.139373i | ||||
\(596\) | 2.04373 | − | 27.2716i | 0.0837142 | − | 1.11709i | ||||
\(597\) | −7.18752 | + | 0.618734i | −0.294165 | + | 0.0253231i | ||||
\(598\) | −16.8565 | + | 11.4925i | −0.689312 | + | 0.469965i | ||||
\(599\) | 27.0724 | − | 4.08050i | 1.10615 | − | 0.166725i | 0.429525 | − | 0.903055i | \(-0.358681\pi\) |
0.676622 | + | 0.736330i | \(0.263443\pi\) | |||||||
\(600\) | 2.90833 | + | 5.87198i | 0.118732 | + | 0.239723i | ||||
\(601\) | −15.7852 | + | 2.37924i | −0.643892 | + | 0.0970512i | −0.462868 | − | 0.886427i | \(-0.653180\pi\) |
−0.181025 | + | 0.983479i | \(0.557941\pi\) | |||||||
\(602\) | −8.17758 | + | 2.59028i | −0.333293 | + | 0.105572i | ||||
\(603\) | 16.4011 | + | 14.5556i | 0.667904 | + | 0.592749i | ||||
\(604\) | −9.17265 | + | 6.25381i | −0.373230 | + | 0.254464i | ||||
\(605\) | 4.96757 | + | 21.7643i | 0.201960 | + | 0.884847i | ||||
\(606\) | −5.15929 | − | 5.43835i | −0.209582 | − | 0.220918i | ||||
\(607\) | −8.99912 | −0.365263 | −0.182631 | − | 0.983181i | \(-0.558462\pi\) | ||||
−0.182631 | + | 0.983181i | \(0.558462\pi\) | |||||||
\(608\) | 16.6586 | − | 15.4569i | 0.675595 | − | 0.626860i | ||||
\(609\) | −3.59639 | − | 7.12530i | −0.145733 | − | 0.288732i | ||||
\(610\) | −5.46071 | − | 5.06680i | −0.221098 | − | 0.205149i | ||||
\(611\) | −2.54702 | − | 2.36329i | −0.103041 | − | 0.0956083i | ||||
\(612\) | −2.03985 | + | 9.94771i | −0.0824560 | + | 0.402112i | ||||
\(613\) | −27.6979 | − | 4.17479i | −1.11871 | − | 0.168618i | −0.436449 | − | 0.899729i | \(-0.643764\pi\) |
−0.682259 | + | 0.731111i | \(0.739002\pi\) | |||||||
\(614\) | 10.3604 | − | 3.19575i | 0.418111 | − | 0.128970i | ||||
\(615\) | −24.9258 | + | 14.7613i | −1.00510 | + | 0.595233i | ||||
\(616\) | 11.7671 | − | 30.6614i | 0.474111 | − | 1.23538i | ||||
\(617\) | −14.7162 | + | 13.6547i | −0.592453 | + | 0.549716i | −0.918390 | − | 0.395675i | \(-0.870511\pi\) |
0.325938 | + | 0.945391i | \(0.394320\pi\) | |||||||
\(618\) | −9.37979 | − | 9.88714i | −0.377310 | − | 0.397719i | ||||
\(619\) | 9.53272 | 0.383152 | 0.191576 | − | 0.981478i | \(-0.438640\pi\) | ||||
0.191576 | + | 0.981478i | \(0.438640\pi\) | |||||||
\(620\) | 18.2303 | − | 16.9152i | 0.732146 | − | 0.679333i | ||||
\(621\) | 22.8713 | − | 6.02597i | 0.917794 | − | 0.241814i | ||||
\(622\) | −2.74096 | + | 3.43706i | −0.109903 | + | 0.137814i | ||||
\(623\) | 5.15425 | − | 2.53031i | 0.206501 | − | 0.101375i | ||||
\(624\) | −8.38898 | + | 3.40011i | −0.335828 | + | 0.136113i | ||||
\(625\) | 3.46918 | + | 15.1995i | 0.138767 | + | 0.607979i | ||||
\(626\) | −1.63349 | + | 0.246209i | −0.0652873 | + | 0.00984047i | ||||
\(627\) | −21.5741 | + | 23.7739i | −0.861585 | + | 0.949439i | ||||
\(628\) | −10.7116 | − | 1.61452i | −0.427441 | − | 0.0644264i | ||||
\(629\) | 20.0858 | − | 9.67281i | 0.800873 | − | 0.385680i | ||||
\(630\) | 0.510436 | − | 11.3109i | 0.0203363 | − | 0.450636i | ||||
\(631\) | 9.83846 | + | 4.73795i | 0.391663 | + | 0.188615i | 0.619342 | − | 0.785121i | \(-0.287399\pi\) |
−0.227679 | + | 0.973736i | \(0.573114\pi\) | |||||||
\(632\) | 27.0890 | + | 18.4690i | 1.07754 | + | 0.734656i | ||||
\(633\) | 6.09706 | − | 3.61074i | 0.242337 | − | 0.143514i | ||||
\(634\) | 0.684614 | − | 9.13554i | 0.0271895 | − | 0.362819i | ||||
\(635\) | 9.85220 | + | 12.3543i | 0.390973 | + | 0.490264i | ||||
\(636\) | 28.3090 | − | 6.79198i | 1.12252 | − | 0.269319i | ||||
\(637\) | 8.60093 | − | 40.4947i | 0.340781 | − | 1.60446i | ||||
\(638\) | 6.31120 | 0.249863 | ||||||||
\(639\) | 6.67256 | + | 3.03319i | 0.263963 | + | 0.119991i | ||||
\(640\) | 15.0799 | + | 10.2813i | 0.596084 | + | 0.406403i | ||||
\(641\) | −5.84289 | + | 25.5994i | −0.230780 | + | 1.01111i | 0.718214 | + | 0.695822i | \(0.244960\pi\) |
−0.948995 | + | 0.315292i | \(0.897897\pi\) | |||||||
\(642\) | 15.5926 | − | 12.7197i | 0.615393 | − | 0.502007i | ||||
\(643\) | −3.70563 | − | 49.4482i | −0.146136 | − | 1.95004i | −0.282225 | − | 0.959348i | \(-0.591073\pi\) |
0.136089 | − | 0.990697i | \(-0.456547\pi\) | |||||||
\(644\) | −10.8057 | − | 13.3418i | −0.425803 | − | 0.525741i | ||||
\(645\) | 2.23124 | + | 13.7671i | 0.0878549 | + | 0.542081i | ||||
\(646\) | 6.89775 | + | 1.03967i | 0.271388 | + | 0.0409052i | ||||
\(647\) | −1.36978 | − | 18.2785i | −0.0538518 | − | 0.718602i | −0.957151 | − | 0.289590i | \(-0.906481\pi\) |
0.903299 | − | 0.429012i | \(-0.141138\pi\) | |||||||
\(648\) | −23.3428 | + | 1.03457i | −0.916991 | + | 0.0406418i | ||||
\(649\) | 4.57781 | + | 1.41207i | 0.179695 | + | 0.0554285i | ||||
\(650\) | −6.45842 | + | 0.973450i | −0.253320 | + | 0.0381819i | ||||
\(651\) | 41.2227 | − | 10.2203i | 1.61565 | − | 0.400566i | ||||
\(652\) | 32.3424 | + | 4.87483i | 1.26663 | + | 0.190913i | ||||
\(653\) | 1.56056 | + | 0.751526i | 0.0610695 | + | 0.0294095i | 0.464169 | − | 0.885747i | \(-0.346353\pi\) |
−0.403100 | + | 0.915156i | \(0.632067\pi\) | |||||||
\(654\) | 14.2251 | + | 0.907751i | 0.556246 | + | 0.0354959i | ||||
\(655\) | 31.7983 | 1.24246 | ||||||||
\(656\) | 3.92611 | − | 6.80022i | 0.153289 | − | 0.265504i | ||||
\(657\) | 7.54954 | − | 20.5637i | 0.294536 | − | 0.802266i | ||||
\(658\) | −0.727516 | + | 0.926554i | −0.0283615 | + | 0.0361208i | ||||
\(659\) | −5.34688 | − | 4.96118i | −0.208285 | − | 0.193260i | 0.569131 | − | 0.822247i | \(-0.307280\pi\) |
−0.777416 | + | 0.628987i | \(0.783470\pi\) | |||||||
\(660\) | −19.3666 | − | 10.8972i | −0.753844 | − | 0.424172i | ||||
\(661\) | 10.6210 | + | 27.0618i | 0.413109 | + | 1.05258i | 0.974371 | + | 0.224946i | \(0.0722206\pi\) |
−0.561262 | + | 0.827638i | \(0.689684\pi\) | |||||||
\(662\) | −5.07244 | − | 12.9244i | −0.197146 | − | 0.502320i | ||||
\(663\) | −21.1960 | − | 11.9265i | −0.823183 | − | 0.463188i | ||||
\(664\) | −2.69447 | − | 2.50010i | −0.104566 | − | 0.0970227i | ||||
\(665\) | 19.3045 | − | 0.145879i | 0.748597 | − | 0.00565696i | ||||
\(666\) | 13.6766 | + | 16.3917i | 0.529958 | + | 0.635166i | ||||
\(667\) | 3.96394 | − | 6.86574i | 0.153484 | − | 0.265842i | ||||
\(668\) | 0.709789 | 0.0274625 | ||||||||
\(669\) | −20.4376 | − | 1.30419i | −0.790163 | − | 0.0504229i | ||||
\(670\) | 9.39434 | + | 4.52407i | 0.362935 | + | 0.174780i | ||||
\(671\) | −24.6894 | − | 3.72133i | −0.953125 | − | 0.143660i | ||||
\(672\) | 12.1045 | + | 23.9818i | 0.466940 | + | 0.925120i | ||||
\(673\) | 13.0392 | − | 1.96534i | 0.502623 | − | 0.0757583i | 0.107163 | − | 0.994241i | \(-0.465823\pi\) |
0.395460 | + | 0.918483i | \(0.370585\pi\) | |||||||
\(674\) | 6.42679 | + | 1.98240i | 0.247551 | + | 0.0763593i | ||||
\(675\) | 7.43401 | + | 1.43881i | 0.286135 | + | 0.0553799i | ||||
\(676\) | −2.34121 | − | 31.2412i | −0.0900464 | − | 1.20159i | ||||
\(677\) | 1.99242 | + | 0.300309i | 0.0765750 | + | 0.0115418i | 0.187218 | − | 0.982318i | \(-0.440053\pi\) |
−0.110643 | + | 0.993860i | \(0.535291\pi\) | |||||||
\(678\) | 1.99606 | + | 12.3161i | 0.0766583 | + | 0.472996i | ||||
\(679\) | 8.93462 | + | 4.21981i | 0.342879 | + | 0.161942i | ||||
\(680\) | 0.867047 | + | 11.5699i | 0.0332497 | + | 0.443687i | ||||
\(681\) | 30.5816 | − | 24.9470i | 1.17189 | − | 0.955969i | ||||
\(682\) | −7.47291 | + | 32.7410i | −0.286153 | + | 1.25372i | ||||
\(683\) | 16.3664 | + | 11.1584i | 0.626244 | + | 0.426966i | 0.834423 | − | 0.551125i | \(-0.185801\pi\) |
−0.208179 | + | 0.978091i | \(0.566754\pi\) | |||||||
\(684\) | −1.60482 | − | 16.5019i | −0.0613619 | − | 0.630966i | ||||
\(685\) | −18.8908 | −0.721780 | ||||||||
\(686\) | −13.9231 | − | 1.77681i | −0.531585 | − | 0.0678388i | ||||
\(687\) | −1.65148 | + | 0.396229i | −0.0630080 | + | 0.0151171i | ||||
\(688\) | −2.35703 | − | 2.95563i | −0.0898610 | − | 0.112682i | ||||
\(689\) | −5.21059 | + | 69.5305i | −0.198508 | + | 2.64890i | ||||
\(690\) | 9.67676 | − | 5.73067i | 0.368388 | − | 0.218163i | ||||
\(691\) | 6.83602 | + | 4.66072i | 0.260054 | + | 0.177302i | 0.686328 | − | 0.727292i | \(-0.259221\pi\) |
−0.426273 | + | 0.904594i | \(0.640174\pi\) | |||||||
\(692\) | −8.54564 | − | 4.11536i | −0.324856 | − | 0.156443i | ||||
\(693\) | −19.9427 | − | 32.2877i | −0.757561 | − | 1.22651i | ||||
\(694\) | −23.1725 | + | 11.1593i | −0.879616 | + | 0.423601i | ||||
\(695\) | −11.9662 | − | 1.80361i | −0.453903 | − | 0.0684149i | ||||
\(696\) | −5.26319 | + | 5.79987i | −0.199501 | + | 0.219843i | ||||
\(697\) | 20.8621 | − | 3.14446i | 0.790210 | − | 0.119105i | ||||
\(698\) | 2.37134 | + | 10.3895i | 0.0897565 | + | 0.393249i | ||||
\(699\) | 27.4989 | − | 11.1455i | 1.04010 | − | 0.421560i | ||||
\(700\) | −1.26353 | − | 5.34925i | −0.0477571 | − | 0.202183i | ||||
\(701\) | 0.816964 | − | 1.02444i | 0.0308563 | − | 0.0386926i | −0.766164 | − | 0.642645i | \(-0.777837\pi\) |
0.797020 | + | 0.603953i | \(0.206408\pi\) | |||||||
\(702\) | 6.12176 | − | 22.4705i | 0.231051 | − | 0.848094i | ||||
\(703\) | −26.6824 | + | 24.7577i | −1.00635 | + | 0.933753i | ||||
\(704\) | −12.7916 | −0.482102 | ||||||||
\(705\) | 1.31824 | + | 1.38954i | 0.0496476 | + | 0.0523331i | ||||
\(706\) | −4.95009 | + | 4.59301i | −0.186299 | + | 0.172860i | ||||
\(707\) | 7.65318 | + | 13.0274i | 0.287828 | + | 0.489944i | ||||
\(708\) | −2.12881 | + | 1.26070i | −0.0800057 | + | 0.0473802i | ||||
\(709\) | 6.51457 | − | 2.00948i | 0.244660 | − | 0.0754676i | −0.170000 | − | 0.985444i | \(-0.554377\pi\) |
0.414660 | + | 0.909976i | \(0.363901\pi\) | |||||||
\(710\) | 3.44628 | + | 0.519443i | 0.129336 | + | 0.0194943i | ||||
\(711\) | 35.9461 | − | 11.9659i | 1.34808 | − | 0.448754i | ||||
\(712\) | −4.13022 | − | 3.83229i | −0.154787 | − | 0.143621i | ||||
\(713\) | 30.9242 | + | 28.6935i | 1.15812 | + | 1.07458i | ||||
\(714\) | −3.43880 | + | 7.49477i | −0.128694 | + | 0.280485i | ||||
\(715\) | 39.0149 | − | 36.2005i | 1.45907 | − | 1.35382i | ||||
\(716\) | −2.16246 | −0.0808149 | ||||||||
\(717\) | −28.2112 | − | 29.7372i | −1.05357 | − | 1.11055i | ||||
\(718\) | 0.530197 | + | 2.32294i | 0.0197868 | + | 0.0866915i | ||||
\(719\) | 29.1882 | − | 19.9002i | 1.08854 | − | 0.742152i | 0.120439 | − | 0.992721i | \(-0.461570\pi\) |
0.968099 | + | 0.250569i | \(0.0806175\pi\) | |||||||
\(720\) | 4.73443 | − | 1.57601i | 0.176442 | − | 0.0587344i | ||||
\(721\) | 13.9138 | + | 23.6843i | 0.518177 | + | 0.882048i | ||||
\(722\) | 2.97666 | − | 0.448659i | 0.110780 | − | 0.0166974i | ||||
\(723\) | −5.58063 | − | 11.2674i | −0.207546 | − | 0.419040i | ||||
\(724\) | 25.5995 | − | 3.85850i | 0.951396 | − | 0.143400i | ||||
\(725\) | 2.09704 | − | 1.42974i | 0.0778820 | − | 0.0530990i | ||||
\(726\) | 15.5115 | − | 1.33530i | 0.575687 | − | 0.0495577i | ||||
\(727\) | −3.34961 | + | 44.6974i | −0.124230 | + | 1.65774i | 0.492315 | + | 0.870417i | \(0.336151\pi\) |
−0.616545 | + | 0.787319i | \(0.711468\pi\) | |||||||
\(728\) | −40.1219 | + | 6.35784i | −1.48702 | + | 0.235637i | ||||
\(729\) | −15.3957 | + | 22.1805i | −0.570209 | + | 0.821499i | ||||
\(730\) | 0.778394 | − | 10.3869i | 0.0288097 | − | 0.384438i | ||||
\(731\) | 2.26022 | − | 9.90269i | 0.0835974 | − | 0.366264i | ||||
\(732\) | 9.99190 | − | 8.15090i | 0.369311 | − | 0.301266i | ||||
\(733\) | −32.2887 | − | 40.4887i | −1.19261 | − | 1.49548i | −0.824651 | − | 0.565641i | \(-0.808629\pi\) |
−0.367957 | − | 0.929843i | \(-0.619943\pi\) | |||||||
\(734\) | 13.3038 | + | 23.0429i | 0.491052 | + | 0.850528i | ||||
\(735\) | −6.15326 | + | 21.9756i | −0.226966 | + | 0.810581i | ||||
\(736\) | −13.3415 | + | 23.1082i | −0.491776 | + | 0.851780i | ||||
\(737\) | 34.5583 | − | 5.20883i | 1.27297 | − | 0.191870i | ||||
\(738\) | 7.79561 | + | 18.6384i | 0.286960 | + | 0.686087i | ||||
\(739\) | 30.2114 | − | 9.31900i | 1.11135 | − | 0.342805i | 0.315878 | − | 0.948800i | \(-0.397701\pi\) |
0.795468 | + | 0.605995i | \(0.207225\pi\) | |||||||
\(740\) | −20.8173 | − | 14.1930i | −0.765259 | − | 0.521745i | ||||
\(741\) | 38.8092 | + | 8.40695i | 1.42569 | + | 0.308837i | ||||
\(742\) | 23.6397 | − | 0.178640i | 0.867842 | − | 0.00655807i | ||||
\(743\) | 20.2418 | + | 13.8006i | 0.742599 | + | 0.506295i | 0.874535 | − | 0.484963i | \(-0.161167\pi\) |
−0.131936 | + | 0.991258i | \(0.542119\pi\) | |||||||
\(744\) | −23.8563 | − | 34.1716i | −0.874615 | − | 1.25279i | ||||
\(745\) | −32.5313 | − | 15.6663i | −1.19186 | − | 0.573967i | ||||
\(746\) | −0.0833037 | + | 0.212254i | −0.00304997 | + | 0.00777118i | ||||
\(747\) | −4.18491 | + | 0.725891i | −0.153118 | + | 0.0265590i | ||||
\(748\) | 10.0906 | + | 12.6532i | 0.368949 | + | 0.462648i | ||||
\(749\) | −36.4076 | + | 17.8731i | −1.33030 | + | 0.653070i | ||||
\(750\) | 15.8954 | − | 1.36835i | 0.580417 | − | 0.0499649i | ||||
\(751\) | −8.36355 | − | 4.02767i | −0.305190 | − | 0.146972i | 0.275020 | − | 0.961438i | \(-0.411315\pi\) |
−0.580210 | + | 0.814467i | \(0.697030\pi\) | |||||||
\(752\) | −0.496105 | − | 0.153028i | −0.0180911 | − | 0.00558037i | ||||
\(753\) | −31.3705 | + | 7.52652i | −1.14321 | + | 0.274282i | ||||
\(754\) | −3.90320 | − | 6.76055i | −0.142146 | − | 0.246205i | ||||
\(755\) | 3.26156 | + | 14.2898i | 0.118700 | + | 0.520060i | ||||
\(756\) | 19.2697 | + | 3.57869i | 0.700831 | + | 0.130156i | ||||
\(757\) | −2.34801 | + | 10.2873i | −0.0853400 | + | 0.373899i | −0.999506 | − | 0.0314420i | \(-0.989990\pi\) |
0.914166 | + | 0.405341i | \(0.132847\pi\) | |||||||
\(758\) | 14.0933 | − | 4.34720i | 0.511890 | − | 0.157897i | ||||
\(759\) | 15.9783 | − | 34.1412i | 0.579975 | − | 1.23925i | ||||
\(760\) | −6.92081 | − | 17.6339i | −0.251044 | − | 0.639650i | ||||
\(761\) | −8.88739 | + | 38.9382i | −0.322168 | + | 1.41151i | 0.511519 | + | 0.859272i | \(0.329083\pi\) |
−0.833687 | + | 0.552237i | \(0.813774\pi\) | |||||||
\(762\) | 9.48216 | − | 5.61543i | 0.343502 | − | 0.203426i | ||||
\(763\) | −27.5165 | − | 8.26052i | −0.996164 | − | 0.299051i | ||||
\(764\) | 2.80168 | + | 12.2750i | 0.101361 | + | 0.444093i | ||||
\(765\) | 11.2419 | + | 7.30529i | 0.406452 | + | 0.264123i | ||||
\(766\) | −1.22235 | − | 2.11718i | −0.0441655 | − | 0.0764968i | ||||
\(767\) | −1.31857 | − | 5.77705i | −0.0476109 | − | 0.208597i | ||||
\(768\) | 14.7818 | − | 16.2890i | 0.533391 | − | 0.587780i | ||||
\(769\) | 1.69145 | + | 0.254945i | 0.0609952 | + | 0.00919355i | 0.179469 | − | 0.983764i | \(-0.442562\pi\) |
−0.118474 | + | 0.992957i | \(0.537800\pi\) | |||||||
\(770\) | −13.3204 | − | 12.1735i | −0.480033 | − | 0.438702i | ||||
\(771\) | −30.1056 | − | 23.4678i | −1.08423 | − | 0.845172i | ||||
\(772\) | 5.23410 | − | 4.85654i | 0.188380 | − | 0.174791i | ||||
\(773\) | 9.98422 | − | 25.4394i | 0.359107 | − | 0.914991i | −0.631140 | − | 0.775669i | \(-0.717413\pi\) |
0.990247 | − | 0.139322i | \(-0.0444922\pi\) | |||||||
\(774\) | 9.72417 | − | 0.215386i | 0.349528 | − | 0.00774188i | ||||
\(775\) | 4.93408 | + | 12.5718i | 0.177237 | + | 0.451593i | ||||
\(776\) | 0.724576 | − | 9.66880i | 0.0260108 | − | 0.347090i | ||||
\(777\) | −19.3880 | − | 38.4123i | −0.695541 | − | 1.37803i | ||||
\(778\) | −0.194102 | − | 2.59011i | −0.00695889 | − | 0.0928600i | ||||
\(779\) | −31.0354 | + | 14.9459i | −1.11196 | + | 0.535492i | ||||
\(780\) | 0.304352 | + | 27.4849i | 0.0108975 | + | 0.984117i | ||||
\(781\) | 10.5248 | − | 5.06846i | 0.376606 | − | 0.181364i | ||||
\(782\) | −8.09916 | + | 1.22075i | −0.289625 | + | 0.0436540i | ||||
\(783\) | 1.64533 | + | 8.89932i | 0.0587994 | + | 0.318036i | ||||
\(784\) | −1.46744 | − | 6.00917i | −0.0524086 | − | 0.214613i | ||||
\(785\) | −7.15104 | + | 12.3860i | −0.255232 | + | 0.442074i | ||||
\(786\) | 3.06219 | − | 21.9638i | 0.109225 | − | 0.783423i | ||||
\(787\) | −2.02871 | + | 27.0712i | −0.0723157 | + | 0.964986i | 0.836548 | + | 0.547893i | \(0.184570\pi\) |
−0.908864 | + | 0.417092i | \(0.863049\pi\) | |||||||
\(788\) | 5.58826 | + | 5.18515i | 0.199074 | + | 0.184713i | ||||
\(789\) | −42.6146 | + | 34.7629i | −1.51712 | + | 1.23759i | ||||
\(790\) | 14.8842 | − | 10.1478i | 0.529554 | − | 0.361044i | ||||
\(791\) | 1.68972 | − | 25.0907i | 0.0600797 | − | 0.892121i | ||||
\(792\) | −22.5678 | + | 29.6218i | −0.801913 | + | 1.05256i | ||||
\(793\) | 11.2831 | + | 28.7487i | 0.400673 | + | 1.02090i | ||||
\(794\) | −14.7825 | − | 7.11888i | −0.524612 | − | 0.252640i | ||||
\(795\) | 5.30745 | − | 38.0681i | 0.188236 | − | 1.35014i | ||||
\(796\) | −1.32129 | − | 5.78896i | −0.0468320 | − | 0.205184i | ||||
\(797\) | −18.9697 | + | 48.3340i | −0.671941 | + | 1.71208i | 0.0297125 | + | 0.999558i | \(0.490541\pi\) |
−0.701653 | + | 0.712519i | \(0.747554\pi\) | |||||||
\(798\) | 1.75827 | − | 13.3481i | 0.0622421 | − | 0.472519i | ||||
\(799\) | −0.509628 | − | 1.29851i | −0.0180293 | − | 0.0459380i | ||||
\(800\) | −7.05806 | + | 4.81210i | −0.249540 | + | 0.170134i | ||||
\(801\) | −6.41486 | + | 1.11268i | −0.226658 | + | 0.0393148i | ||||
\(802\) | 0.853782 | + | 1.47879i | 0.0301481 | + | 0.0522180i | ||||
\(803\) | −17.4562 | − | 30.2350i | −0.616015 | − | 1.06697i | ||||
\(804\) | −10.0017 | + | 15.0245i | −0.352732 | + | 0.529875i | ||||
\(805\) | −21.6094 | + | 6.84485i | −0.761630 | + | 0.241249i | ||||
\(806\) | 39.6937 | − | 12.2439i | 1.39815 | − | 0.431273i | ||||
\(807\) | 30.6265 | − | 18.1373i | 1.07810 | − | 0.638463i | ||||
\(808\) | 9.24387 | − | 11.5914i | 0.325198 | − | 0.407786i | ||||
\(809\) | −43.9364 | − | 6.62234i | −1.54472 | − | 0.232829i | −0.679294 | − | 0.733866i | \(-0.737714\pi\) |
−0.865426 | + | 0.501037i | \(0.832952\pi\) | |||||||
\(810\) | −4.15663 | + | 12.1469i | −0.146049 | + | 0.426797i | ||||
\(811\) | −0.959828 | + | 4.20528i | −0.0337041 | + | 0.147667i | −0.988980 | − | 0.148048i | \(-0.952701\pi\) |
0.955276 | + | 0.295716i | \(0.0955581\pi\) | |||||||
\(812\) | 5.39982 | − | 3.74162i | 0.189496 | − | 0.131305i | ||||
\(813\) | 45.0500 | + | 2.87479i | 1.57997 | + | 0.100823i | ||||
\(814\) | 34.0235 | 1.19252 | ||||||||
\(815\) | 21.5916 | − | 37.3978i | 0.756321 | − | 1.30999i | ||||
\(816\) | −3.62670 | − | 0.231432i | −0.126960 | − | 0.00810173i | ||||
\(817\) | 1.23933 | + | 16.5377i | 0.0433587 | + | 0.578582i | ||||
\(818\) | −5.35614 | + | 6.71639i | −0.187273 | + | 0.234833i | ||||
\(819\) | −22.2528 | + | 41.3312i | −0.777577 | + | 1.44423i | ||||
\(820\) | −14.8664 | − | 18.6419i | −0.519157 | − | 0.651002i | ||||
\(821\) | 7.37612 | − | 6.84404i | 0.257428 | − | 0.238859i | −0.540891 | − | 0.841092i | \(-0.681913\pi\) |
0.798320 | + | 0.602234i | \(0.205722\pi\) | |||||||
\(822\) | −1.81919 | + | 13.0483i | −0.0634517 | + | 0.455113i | ||||
\(823\) | −0.991741 | + | 0.676158i | −0.0345699 | + | 0.0235694i | −0.580482 | − | 0.814273i | \(-0.697136\pi\) |
0.545912 | + | 0.837843i | \(0.316183\pi\) | |||||||
\(824\) | 16.8057 | − | 21.0737i | 0.585455 | − | 0.734137i | ||||
\(825\) | 9.35113 | − | 7.62819i | 0.325565 | − | 0.265580i | ||||
\(826\) | −1.91529 | + | 0.606676i | −0.0666415 | + | 0.0211090i | ||||
\(827\) | 6.22448 | + | 2.99755i | 0.216446 | + | 0.104235i | 0.538965 | − | 0.842328i | \(-0.318815\pi\) |
−0.322519 | + | 0.946563i | \(0.604530\pi\) | |||||||
\(828\) | 7.51184 | + | 17.9599i | 0.261054 | + | 0.624149i | ||||
\(829\) | −52.2938 | + | 16.1305i | −1.81624 | + | 0.560235i | −0.999851 | − | 0.0172704i | \(-0.994502\pi\) |
−0.816387 | + | 0.577506i | \(0.804026\pi\) | |||||||
\(830\) | −1.81961 | + | 0.876280i | −0.0631597 | + | 0.0304161i | ||||
\(831\) | 3.26239 | + | 2.54309i | 0.113171 | + | 0.0882188i | ||||
\(832\) | 7.91105 | + | 13.7023i | 0.274266 | + | 0.475043i | ||||
\(833\) | 10.1650 | − | 13.1493i | 0.352196 | − | 0.455598i | ||||
\(834\) | −2.39815 | + | 8.09164i | −0.0830410 | + | 0.280191i | ||||
\(835\) | 0.342367 | − | 0.872338i | 0.0118481 | − | 0.0301885i | ||||
\(836\) | −21.8326 | − | 14.8852i | −0.755096 | − | 0.514815i | ||||
\(837\) | −48.1157 | − | 2.00185i | −1.66312 | − | 0.0691941i | ||||
\(838\) | 0.586932 | − | 7.83206i | 0.0202752 | − | 0.270554i | ||||
\(839\) | 37.2381 | − | 25.3885i | 1.28560 | − | 0.876509i | 0.288877 | − | 0.957366i | \(-0.406718\pi\) |
0.996726 | + | 0.0808569i | \(0.0257657\pi\) | |||||||
\(840\) | 22.2956 | − | 2.08915i | 0.769272 | − | 0.0720825i | ||||
\(841\) | −21.4545 | − | 14.6274i | −0.739811 | − | 0.504394i | ||||
\(842\) | −10.2438 | + | 12.8453i | −0.353024 | + | 0.442678i | ||||
\(843\) | −11.5248 | + | 12.6999i | −0.396934 | + | 0.437409i | ||||
\(844\) | 3.63645 | + | 4.55996i | 0.125172 | + | 0.156960i | ||||
\(845\) | −39.5251 | − | 12.1919i | −1.35970 | − | 0.419413i | ||||
\(846\) | 1.08673 | − | 0.776723i | 0.0373627 | − | 0.0267043i | ||||
\(847\) | −31.0638 | − | 4.44231i | −1.06736 | − | 0.152640i | ||||
\(848\) | 3.80630 | + | 9.69829i | 0.130709 | + | 0.333041i | ||||
\(849\) | 27.7220 | − | 30.5488i | 0.951418 | − | 1.04843i | ||||
\(850\) | −2.50568 | − | 0.772900i | −0.0859441 | − | 0.0265102i | ||||
\(851\) | 21.3694 | − | 37.0130i | 0.732535 | − | 1.26879i | ||||
\(852\) | −1.71429 | + | 5.78423i | −0.0587307 | + | 0.198165i | ||||
\(853\) | 50.6278 | + | 15.6166i | 1.73346 | + | 0.534702i | 0.990844 | − | 0.135013i | \(-0.0431076\pi\) |
0.742618 | + | 0.669715i | \(0.233584\pi\) | |||||||
\(854\) | 9.39952 | − | 4.61439i | 0.321645 | − | 0.157901i | ||||
\(855\) | −21.0551 | − | 5.98738i | −0.720070 | − | 0.204764i | ||||
\(856\) | 29.1743 | + | 27.0698i | 0.997156 | + | 0.925225i | ||||
\(857\) | 8.16100 | − | 10.2336i | 0.278775 | − | 0.349572i | −0.622656 | − | 0.782496i | \(-0.713946\pi\) |
0.901431 | + | 0.432923i | \(0.142518\pi\) | |||||||
\(858\) | −21.2474 | − | 30.4347i | −0.725375 | − | 1.03902i | ||||
\(859\) | −11.6179 | + | 50.9014i | −0.396398 | + | 1.73673i | 0.245000 | + | 0.969523i | \(0.421212\pi\) |
−0.641397 | + | 0.767209i | \(0.721645\pi\) | |||||||
\(860\) | −10.9694 | + | 3.38362i | −0.374054 | + | 0.115380i | ||||
\(861\) | −6.81802 | − | 40.1451i | −0.232358 | − | 1.36814i | ||||
\(862\) | −9.31228 | − | 2.87246i | −0.317178 | − | 0.0978363i | ||||
\(863\) | −12.5278 | + | 21.6987i | −0.426450 | + | 0.738634i | −0.996555 | − | 0.0829388i | \(-0.973569\pi\) |
0.570104 | + | 0.821572i | \(0.306903\pi\) | |||||||
\(864\) | −5.53775 | − | 29.9527i | −0.188398 | − | 1.01901i | ||||
\(865\) | −9.17983 | + | 8.51764i | −0.312124 | + | 0.289608i | ||||
\(866\) | 0.730705 | + | 9.75059i | 0.0248304 | + | 0.331338i | ||||
\(867\) | 11.2659 | + | 16.1371i | 0.382609 | + | 0.548046i | ||||
\(868\) | 13.0168 | + | 32.4433i | 0.441820 | + | 1.10120i | ||||
\(869\) | 22.0593 | − | 56.2062i | 0.748310 | − | 1.90666i | ||||
\(870\) | 1.90995 | + | 3.85623i | 0.0647534 | + | 0.130738i | ||||
\(871\) | −26.9525 | − | 33.7974i | −0.913251 | − | 1.14518i | ||||
\(872\) | 2.10675 | + | 28.1127i | 0.0713436 | + | 0.952015i | ||||
\(873\) | −8.37986 | − | 7.43692i | −0.283615 | − | 0.251702i | ||||
\(874\) | 12.0487 | − | 5.80234i | 0.407552 | − | 0.196267i | ||||
\(875\) | −31.8325 | − | 4.55224i | −1.07613 | − | 0.153894i | ||||
\(876\) | 17.6216 | + | 3.81724i | 0.595379 | + | 0.128973i | ||||
\(877\) | −4.54980 | + | 2.19107i | −0.153636 | + | 0.0739871i | −0.509122 | − | 0.860695i | \(-0.670030\pi\) |
0.355486 | + | 0.934682i | \(0.384315\pi\) | |||||||
\(878\) | 0.0427560 | + | 0.0396717i | 0.00144294 | + | 0.00133886i | ||||
\(879\) | −17.5617 | − | 6.66901i | −0.592342 | − | 0.224940i | ||||
\(880\) | 2.90541 | − | 7.40286i | 0.0979413 | − | 0.249550i | ||||
\(881\) | −34.0081 | −1.14576 | −0.572880 | − | 0.819639i | \(-0.694174\pi\) | ||||
−0.572880 | + | 0.819639i | \(0.694174\pi\) | |||||||
\(882\) | 14.5865 | + | 6.36646i | 0.491152 | + | 0.214370i | ||||
\(883\) | −27.5643 | −0.927614 | −0.463807 | − | 0.885936i | \(-0.653517\pi\) | ||||
−0.463807 | + | 0.885936i | \(0.653517\pi\) | |||||||
\(884\) | 7.31351 | − | 18.6345i | 0.245980 | − | 0.626747i | ||||
\(885\) | 0.522584 | + | 3.22444i | 0.0175665 | + | 0.108388i | ||||
\(886\) | −19.9944 | − | 18.5521i | −0.671724 | − | 0.623269i | ||||
\(887\) | −53.0922 | + | 25.5678i | −1.78266 | + | 0.858484i | −0.828035 | + | 0.560676i | \(0.810541\pi\) |
−0.954626 | + | 0.297808i | \(0.903744\pi\) | |||||||
\(888\) | −28.3737 | + | 31.2669i | −0.952158 | + | 1.04925i | ||||
\(889\) | −21.1748 | + | 6.70720i | −0.710180 | + | 0.224952i | ||||
\(890\) | −2.78920 | + | 1.34321i | −0.0934943 | + | 0.0450245i | ||||
\(891\) | 11.4235 | + | 41.4873i | 0.382703 | + | 1.38988i | ||||
\(892\) | −1.25966 | − | 16.8090i | −0.0421766 | − | 0.562808i | ||||
\(893\) | 1.42002 | + | 1.78065i | 0.0475193 | + | 0.0595873i | ||||
\(894\) | −13.9538 | + | 20.9615i | −0.466686 | + | 0.701057i | ||||
\(895\) | −1.04307 | + | 2.65769i | −0.0348658 | + | 0.0888367i | ||||
\(896\) | −21.0872 | + | 14.6116i | −0.704474 | + | 0.488140i | ||||
\(897\) | −46.4539 | + | 3.99896i | −1.55105 | + | 0.133521i | ||||
\(898\) | 1.90656 | + | 25.4413i | 0.0636227 | + | 0.848986i | ||||
\(899\) | −11.8328 | + | 10.9793i | −0.394647 | + | 0.366179i | ||||
\(900\) | −0.328008 | + | 6.22375i | −0.0109336 | + | 0.207458i | ||||
\(901\) | −13.9965 | + | 24.2426i | −0.466290 | + | 0.807639i | ||||
\(902\) | 30.7681 | + | 9.49069i | 1.02446 | + | 0.316005i | ||||
\(903\) | −19.1907 | − | 4.00557i | −0.638627 | − | 0.133297i | ||||
\(904\) | −23.5801 | + | 7.27350i | −0.784263 | + | 0.241913i | ||||
\(905\) | 7.60580 | − | 33.3232i | 0.252825 | − | 1.10770i | ||||
\(906\) | 10.1844 | − | 0.876720i | 0.338355 | − | 0.0291271i | ||||
\(907\) | −15.0494 | + | 18.8714i | −0.499707 | + | 0.626613i | −0.966163 | − | 0.257931i | \(-0.916959\pi\) |
0.466456 | + | 0.884544i | \(0.345531\pi\) | |||||||
\(908\) | 23.8126 | + | 22.0949i | 0.790249 | + | 0.733244i | ||||
\(909\) | −4.18117 | − | 16.6140i | −0.138681 | − | 0.551052i | ||||
\(910\) | −4.80214 | + | 21.7975i | −0.159189 | + | 0.722580i | ||||
\(911\) | −20.0636 | − | 6.18882i | −0.664738 | − | 0.205045i | −0.0560183 | − | 0.998430i | \(-0.517841\pi\) |
−0.608720 | + | 0.793385i | \(0.708317\pi\) | |||||||
\(912\) | 5.76969 | − | 1.38428i | 0.191053 | − | 0.0458382i | ||||
\(913\) | −3.38465 | + | 5.86239i | −0.112016 | + | 0.194017i | ||||
\(914\) | 1.08448 | + | 0.334517i | 0.0358713 | + | 0.0110648i | ||||
\(915\) | −5.19794 | − | 16.2118i | −0.171839 | − | 0.535944i | ||||
\(916\) | −0.510707 | − | 1.30126i | −0.0168742 | − | 0.0429948i | ||||
\(917\) | −16.0149 | + | 41.7297i | −0.528857 | + | 1.37804i | ||||
\(918\) | 6.12854 | − | 7.06156i | 0.202272 | − | 0.233066i | ||||
\(919\) | −49.7011 | − | 15.3308i | −1.63949 | − | 0.505716i | −0.668273 | − | 0.743916i | \(-0.732966\pi\) |
−0.971216 | + | 0.238200i | \(0.923443\pi\) | |||||||
\(920\) | 13.8682 | + | 17.3902i | 0.457222 | + | 0.573338i | ||||
\(921\) | 24.2169 | + | 5.24592i | 0.797974 | + | 0.172859i | ||||
\(922\) | 0.889894 | − | 1.11589i | 0.0293071 | − | 0.0367499i | ||||
\(923\) | −11.9384 | − | 8.13949i | −0.392958 | − | 0.267914i | ||||
\(924\) | 24.0544 | − | 19.9270i | 0.791333 | − | 0.655551i | ||||
\(925\) | 11.3051 | − | 7.70765i | 0.371708 | − | 0.253426i | ||||
\(926\) | −0.671128 | + | 8.95558i | −0.0220546 | + | 0.294299i | ||||
\(927\) | −7.60153 | − | 30.2049i | −0.249667 | − | 0.992059i | ||||
\(928\) | −8.43591 | − | 5.75151i | −0.276922 | − | 0.188802i | ||||
\(929\) | −2.20661 | + | 5.62234i | −0.0723964 | + | 0.184463i | −0.962492 | − | 0.271312i | \(-0.912543\pi\) |
0.890095 | + | 0.455775i | \(0.150638\pi\) | |||||||
\(930\) | −22.2667 | + | 5.34230i | −0.730154 | + | 0.175181i | ||||
\(931\) | −9.53107 | + | 25.4073i | −0.312368 | + | 0.832690i | ||||
\(932\) | 12.2112 | + | 21.1504i | 0.399992 | + | 0.692806i | ||||
\(933\) | −9.31132 | + | 3.77393i | −0.304839 | + | 0.123553i | ||||
\(934\) | −12.6301 | + | 6.08232i | −0.413268 | + | 0.199020i | ||||
\(935\) | 20.4182 | − | 6.29817i | 0.667746 | − | 0.205972i | ||||
\(936\) | 45.6880 | + | 5.85484i | 1.49336 | + | 0.191372i | ||||
\(937\) | 25.2791 | + | 12.1738i | 0.825832 | + | 0.397700i | 0.798550 | − | 0.601928i | \(-0.205601\pi\) |
0.0272818 | + | 0.999628i | \(0.491315\pi\) | |||||||
\(938\) | −10.6684 | + | 10.0499i | −0.348336 | + | 0.328142i | ||||
\(939\) | −3.52944 | − | 1.34030i | −0.115179 | − | 0.0437389i | ||||
\(940\) | −0.982932 | + | 1.23256i | −0.0320597 | + | 0.0402016i | ||||
\(941\) | −16.1185 | + | 10.9894i | −0.525450 | + | 0.358245i | −0.796808 | − | 0.604233i | \(-0.793480\pi\) |
0.271358 | + | 0.962478i | \(0.412527\pi\) | |||||||
\(942\) | 7.86663 | + | 6.13217i | 0.256309 | + | 0.199797i | ||||
\(943\) | 29.6494 | − | 27.5106i | 0.965517 | − | 0.895869i | ||||
\(944\) | −0.552047 | − | 0.692244i | −0.0179676 | − | 0.0225306i | ||||
\(945\) | 13.6930 | − | 21.9565i | 0.445433 | − | 0.714244i | ||||
\(946\) | 9.66517 | − | 12.1197i | 0.314242 | − | 0.394047i | ||||
\(947\) | 1.68767 | + | 22.5204i | 0.0548419 | + | 0.731814i | 0.955067 | + | 0.296390i | \(0.0957827\pi\) |
−0.900225 | + | 0.435425i | \(0.856598\pi\) | |||||||
\(948\) | 13.8401 | + | 27.9434i | 0.449504 | + | 0.907559i | ||||
\(949\) | −21.5917 | + | 37.3980i | −0.700898 | + | 1.21399i | ||||
\(950\) | 4.28128 | 0.138903 | ||||||||
\(951\) | 11.6020 | − | 17.4285i | 0.376220 | − | 0.565158i | ||||
\(952\) | −15.6202 | − | 4.68923i | −0.506254 | − | 0.151979i | ||||
\(953\) | −11.3695 | + | 49.8132i | −0.368296 | + | 1.61361i | 0.363165 | + | 0.931725i | \(0.381696\pi\) |
−0.731461 | + | 0.681884i | \(0.761161\pi\) | |||||||
\(954\) | −25.7835 | − | 7.33196i | −0.834771 | − | 0.237381i | ||||
\(955\) | 16.4375 | + | 2.47755i | 0.531904 | + | 0.0801717i | ||||
\(956\) | 21.0355 | − | 26.3776i | 0.680336 | − | 0.853114i | ||||
\(957\) | 12.5704 | + | 7.07309i | 0.406343 | + | 0.228641i | ||||
\(958\) | 11.9881 | − | 3.69783i | 0.387317 | − | 0.119472i | ||||
\(959\) | 9.51415 | − | 24.7909i | 0.307228 | − | 0.800540i | ||||
\(960\) | −3.87110 | − | 7.81584i | −0.124939 | − | 0.252255i | ||||
\(961\) | −27.4468 | − | 47.5393i | −0.885382 | − | 1.53353i | ||||
\(962\) | −21.0420 | − | 36.4459i | −0.678423 | − | 1.17506i | ||||
\(963\) | 45.3120 | − | 7.85956i | 1.46016 | − | 0.253271i | ||||
\(964\) | 8.55097 | − | 5.82995i | 0.275408 | − | 0.187770i | ||||
\(965\) | −3.44406 | − | 8.77533i | −0.110868 | − | 0.282488i | ||||
\(966\) | 2.64691 | + | 15.5853i | 0.0851630 | + | 0.501447i | ||||
\(967\) | −11.3135 | + | 28.8262i | −0.363816 | + | 0.926989i | 0.625370 | + | 0.780328i | \(0.284948\pi\) |
−0.989187 | + | 0.146661i | \(0.953147\pi\) | |||||||
\(968\) | 6.85186 | + | 30.0200i | 0.220227 | + | 0.964879i | ||||
\(969\) | 12.5735 | + | 9.80122i | 0.403918 | + | 0.314860i | ||||
\(970\) | −4.79987 | − | 2.31150i | −0.154115 | − | 0.0742177i | ||||
\(971\) | 7.37721 | + | 18.7968i | 0.236746 | + | 0.603219i | 0.999031 | − | 0.0440230i | \(-0.0140175\pi\) |
−0.762284 | + | 0.647242i | \(0.775922\pi\) | |||||||
\(972\) | −19.8314 | − | 10.0297i | −0.636092 | − | 0.321701i | ||||
\(973\) | 8.39357 | − | 14.7952i | 0.269085 | − | 0.474311i | ||||
\(974\) | 2.63478 | − | 1.79636i | 0.0844237 | − | 0.0575591i | ||||
\(975\) | −13.9546 | − | 5.29921i | −0.446904 | − | 0.169711i | ||||
\(976\) | 3.38280 | + | 3.13878i | 0.108281 | + | 0.100470i | ||||
\(977\) | 2.03629 | − | 27.1724i | 0.0651468 | − | 0.869323i | −0.864915 | − | 0.501919i | \(-0.832628\pi\) |
0.930061 | − | 0.367404i | \(-0.119753\pi\) | |||||||
\(978\) | −23.7523 | − | 18.5153i | −0.759513 | − | 0.592053i | ||||
\(979\) | −5.18818 | + | 8.98619i | −0.165815 | + | 0.287200i | ||||
\(980\) | −18.6139 | − | 2.51852i | −0.594599 | − | 0.0804511i | ||||
\(981\) | 27.3156 | + | 17.7504i | 0.872121 | + | 0.566727i | ||||
\(982\) | 19.9877 | − | 3.01266i | 0.637832 | − | 0.0961377i | ||||
\(983\) | −20.4192 | + | 9.83335i | −0.651270 | + | 0.313635i | −0.730188 | − | 0.683246i | \(-0.760568\pi\) |
0.0789184 | + | 0.996881i | \(0.474853\pi\) | |||||||
\(984\) | −34.3806 | + | 20.3605i | −1.09601 | + | 0.649070i | ||||
\(985\) | 9.06811 | − | 4.36697i | 0.288934 | − | 0.139143i | ||||
\(986\) | −0.234209 | − | 3.12531i | −0.00745874 | − | 0.0995300i | ||||
\(987\) | −2.48744 | + | 1.03013i | −0.0791762 | + | 0.0327893i | ||||
\(988\) | −2.44250 | + | 32.5929i | −0.0777062 | + | 1.03692i | ||||
\(989\) | −7.11415 | − | 18.1266i | −0.226217 | − | 0.576391i | ||||
\(990\) | 10.6205 | + | 17.4890i | 0.337541 | + | 0.555838i | ||||
\(991\) | 10.9332 | − | 27.8573i | 0.347304 | − | 0.884916i | −0.645346 | − | 0.763891i | \(-0.723287\pi\) |
0.992649 | − | 0.121025i | \(-0.0386182\pi\) | |||||||
\(992\) | 39.8261 | − | 36.9533i | 1.26448 | − | 1.17327i | ||||
\(993\) | 4.38154 | − | 31.4270i | 0.139044 | − | 0.997305i | ||||
\(994\) | −2.41736 | + | 4.26103i | −0.0766740 | + | 0.135152i | ||||
\(995\) | −7.75203 | − | 1.16843i | −0.245756 | − | 0.0370417i | ||||
\(996\) | −1.06739 | − | 3.32905i | −0.0338214 | − | 0.105485i | ||||
\(997\) | 8.56194 | + | 37.5123i | 0.271160 | + | 1.18803i | 0.908646 | + | 0.417566i | \(0.137117\pi\) |
−0.637487 | + | 0.770461i | \(0.720026\pi\) | |||||||
\(998\) | 0.810245 | + | 1.40339i | 0.0256479 | + | 0.0444234i | ||||
\(999\) | 8.86993 | + | 47.9760i | 0.280632 | + | 1.51789i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 441.2.z.a.142.34 | yes | 648 | |
9.4 | even | 3 | 441.2.y.a.436.34 | yes | 648 | ||
49.39 | even | 21 | 441.2.y.a.88.34 | ✓ | 648 | ||
441.382 | even | 21 | inner | 441.2.z.a.382.34 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.y.a.88.34 | ✓ | 648 | 49.39 | even | 21 | ||
441.2.y.a.436.34 | yes | 648 | 9.4 | even | 3 | ||
441.2.z.a.142.34 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.z.a.382.34 | yes | 648 | 441.382 | even | 21 | inner |