Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [380,2,Mod(23,380)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(380, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([18, 27, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("380.23");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 380 = 2^{2} \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 380.bj (of order \(36\), 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: | \(3.03431527681\) |
Analytic rank: | \(0\) |
Dimension: | \(672\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 347.41 | ||
Character | \(\chi\) | \(=\) | 380.347 |
Dual form | 380.2.bj.a.23.41 |
$q$-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 \(\left(\mathbb{Z}/380\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) | \(191\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.896489 | − | 1.09376i | 0.633914 | − | 0.773404i | ||||
\(3\) | 1.49450 | − | 1.04646i | 0.862850 | − | 0.604174i | −0.0561538 | − | 0.998422i | \(-0.517884\pi\) |
0.919004 | + | 0.394248i | \(0.128995\pi\) | |||||||
\(4\) | −0.392614 | − | 1.96108i | −0.196307 | − | 0.980542i | ||||
\(5\) | 2.23475 | − | 0.0767528i | 0.999411 | − | 0.0343249i | ||||
\(6\) | 0.195229 | − | 2.57276i | 0.0797018 | − | 1.05033i | ||||
\(7\) | −3.56968 | − | 0.956492i | −1.34921 | − | 0.361520i | −0.489368 | − | 0.872077i | \(-0.662772\pi\) |
−0.859844 | + | 0.510557i | \(0.829439\pi\) | |||||||
\(8\) | −2.49693 | − | 1.32867i | −0.882797 | − | 0.469754i | ||||
\(9\) | 0.112392 | − | 0.308794i | 0.0374640 | − | 0.102931i | ||||
\(10\) | 1.91948 | − | 2.51308i | 0.606993 | − | 0.794707i | ||||
\(11\) | −1.25503 | − | 0.724594i | −0.378407 | − | 0.218473i | 0.298718 | − | 0.954341i | \(-0.403441\pi\) |
−0.677125 | + | 0.735868i | \(0.736774\pi\) | |||||||
\(12\) | −2.63896 | − | 2.51999i | −0.761802 | − | 0.727458i | ||||
\(13\) | 1.43625 | + | 1.00567i | 0.398344 | + | 0.278924i | 0.755536 | − | 0.655107i | \(-0.227377\pi\) |
−0.357191 | + | 0.934031i | \(0.616266\pi\) | |||||||
\(14\) | −4.24635 | + | 3.04688i | −1.13488 | + | 0.814313i | ||||
\(15\) | 3.25952 | − | 2.45329i | 0.841604 | − | 0.633436i | ||||
\(16\) | −3.69171 | + | 1.53990i | −0.922927 | + | 0.384975i | ||||
\(17\) | 2.70456 | + | 1.26116i | 0.655953 | + | 0.305876i | 0.721951 | − | 0.691944i | \(-0.243245\pi\) |
−0.0659982 | + | 0.997820i | \(0.521023\pi\) | |||||||
\(18\) | −0.236988 | − | 0.399761i | −0.0558587 | − | 0.0942245i | ||||
\(19\) | 4.14223 | + | 1.35717i | 0.950293 | + | 0.311356i | ||||
\(20\) | −1.02791 | − | 4.35240i | −0.229848 | − | 0.973226i | ||||
\(21\) | −6.33582 | + | 2.30605i | −1.38259 | + | 0.503221i | ||||
\(22\) | −1.91765 | + | 0.723113i | −0.408845 | + | 0.154168i | ||||
\(23\) | 2.89729 | + | 0.253480i | 0.604127 | + | 0.0528542i | 0.385116 | − | 0.922868i | \(-0.374161\pi\) |
0.219011 | + | 0.975722i | \(0.429717\pi\) | |||||||
\(24\) | −5.12206 | + | 0.627243i | −1.04554 | + | 0.128036i | ||||
\(25\) | 4.98822 | − | 0.343047i | 0.997644 | − | 0.0686093i | ||||
\(26\) | 2.38755 | − | 0.669336i | 0.468237 | − | 0.131268i | ||||
\(27\) | 1.26143 | + | 4.70774i | 0.242763 | + | 0.906005i | ||||
\(28\) | −0.474256 | + | 7.37598i | −0.0896260 | + | 1.39393i | ||||
\(29\) | −0.843569 | + | 2.31769i | −0.156647 | + | 0.430384i | −0.993045 | − | 0.117739i | \(-0.962435\pi\) |
0.836398 | + | 0.548123i | \(0.184657\pi\) | |||||||
\(30\) | 0.238821 | − | 5.76447i | 0.0436025 | − | 1.05244i | ||||
\(31\) | 3.46816 | − | 2.00234i | 0.622899 | − | 0.359631i | −0.155098 | − | 0.987899i | \(-0.549569\pi\) |
0.777997 | + | 0.628268i | \(0.216236\pi\) | |||||||
\(32\) | −1.62530 | + | 5.41834i | −0.287315 | + | 0.957836i | ||||
\(33\) | −2.63391 | + | 0.230437i | −0.458505 | + | 0.0401139i | ||||
\(34\) | 3.80402 | − | 1.82752i | 0.652383 | − | 0.313418i | ||||
\(35\) | −8.05075 | − | 1.86354i | −1.36083 | − | 0.314996i | ||||
\(36\) | −0.649699 | − | 0.0991731i | −0.108283 | − | 0.0165289i | ||||
\(37\) | −2.69446 | − | 2.69446i | −0.442967 | − | 0.442967i | 0.450041 | − | 0.893008i | \(-0.351409\pi\) |
−0.893008 | + | 0.450041i | \(0.851409\pi\) | |||||||
\(38\) | 5.19788 | − | 3.31391i | 0.843208 | − | 0.537588i | ||||
\(39\) | 3.19888 | 0.512230 | ||||||||
\(40\) | −5.68199 | − | 2.77759i | −0.898401 | − | 0.439176i | ||||
\(41\) | −1.47047 | + | 8.33946i | −0.229649 | + | 1.30240i | 0.623946 | + | 0.781467i | \(0.285529\pi\) |
−0.853595 | + | 0.520937i | \(0.825583\pi\) | |||||||
\(42\) | −3.15773 | + | 8.99720i | −0.487249 | + | 1.38830i | ||||
\(43\) | −0.813252 | − | 9.29551i | −0.124020 | − | 1.41755i | −0.762039 | − | 0.647531i | \(-0.775801\pi\) |
0.638019 | − | 0.770021i | \(-0.279754\pi\) | |||||||
\(44\) | −0.928246 | + | 2.74571i | −0.139938 | + | 0.413932i | ||||
\(45\) | 0.227467 | − | 0.698705i | 0.0339088 | − | 0.104157i | ||||
\(46\) | 2.87464 | − | 2.94169i | 0.423842 | − | 0.433729i | ||||
\(47\) | −7.48285 | + | 3.48931i | −1.09149 | + | 0.508968i | −0.883151 | − | 0.469089i | \(-0.844582\pi\) |
−0.208335 | + | 0.978058i | \(0.566804\pi\) | |||||||
\(48\) | −3.90582 | + | 6.16461i | −0.563756 | + | 0.889785i | ||||
\(49\) | 5.76555 | + | 3.32874i | 0.823650 | + | 0.475534i | ||||
\(50\) | 4.09667 | − | 5.76344i | 0.579357 | − | 0.815074i | ||||
\(51\) | 5.36173 | − | 0.945417i | 0.750792 | − | 0.132385i | ||||
\(52\) | 1.40832 | − | 3.21145i | 0.195299 | − | 0.445348i | ||||
\(53\) | 1.17104 | − | 13.3850i | 0.160854 | − | 1.83857i | −0.303388 | − | 0.952867i | \(-0.598118\pi\) |
0.464243 | − | 0.885708i | \(-0.346326\pi\) | |||||||
\(54\) | 6.27999 | + | 2.84073i | 0.854598 | + | 0.386575i | ||||
\(55\) | −2.86030 | − | 1.52296i | −0.385683 | − | 0.205356i | ||||
\(56\) | 7.64237 | + | 7.13120i | 1.02125 | + | 0.952947i | ||||
\(57\) | 7.61079 | − | 2.30639i | 1.00807 | − | 0.305489i | ||||
\(58\) | 1.77874 | + | 3.00044i | 0.233560 | + | 0.393977i | ||||
\(59\) | −8.54159 | + | 3.10888i | −1.11202 | + | 0.404742i | −0.831734 | − | 0.555174i | \(-0.812652\pi\) |
−0.280286 | + | 0.959917i | \(0.590429\pi\) | |||||||
\(60\) | −6.09083 | − | 5.42900i | −0.786323 | − | 0.700880i | ||||
\(61\) | −7.83784 | + | 6.57673i | −1.00353 | + | 0.842064i | −0.987470 | − | 0.157807i | \(-0.949557\pi\) |
−0.0160624 | + | 0.999871i | \(0.505113\pi\) | |||||||
\(62\) | 0.919087 | − | 5.58840i | 0.116724 | − | 0.709728i | ||||
\(63\) | −0.696563 | + | 0.994795i | −0.0877587 | + | 0.125332i | ||||
\(64\) | 4.46929 | + | 6.63517i | 0.558661 | + | 0.829396i | ||||
\(65\) | 3.28685 | + | 2.13719i | 0.407684 | + | 0.265086i | ||||
\(66\) | −2.10923 | + | 3.08744i | −0.259628 | + | 0.380038i | ||||
\(67\) | −2.66437 | + | 1.24242i | −0.325504 | + | 0.151785i | −0.578500 | − | 0.815682i | \(-0.696362\pi\) |
0.252996 | + | 0.967467i | \(0.418584\pi\) | |||||||
\(68\) | 1.41139 | − | 5.79903i | 0.171156 | − | 0.703236i | ||||
\(69\) | 4.59526 | − | 2.65307i | 0.553204 | − | 0.319393i | ||||
\(70\) | −9.25567 | + | 7.13494i | −1.10626 | + | 0.852788i | ||||
\(71\) | 1.72712 | − | 2.05830i | 0.204971 | − | 0.244275i | −0.653760 | − | 0.756702i | \(-0.726809\pi\) |
0.858731 | + | 0.512427i | \(0.171254\pi\) | |||||||
\(72\) | −0.690919 | + | 0.621706i | −0.0814256 | + | 0.0732687i | ||||
\(73\) | 4.43946 | + | 6.34020i | 0.519599 | + | 0.742064i | 0.990104 | − | 0.140333i | \(-0.0448173\pi\) |
−0.470505 | + | 0.882397i | \(0.655928\pi\) | |||||||
\(74\) | −5.36265 | + | 0.531535i | −0.623396 | + | 0.0617896i | ||||
\(75\) | 7.09591 | − | 5.73266i | 0.819365 | − | 0.661950i | ||||
\(76\) | 1.03523 | − | 8.65611i | 0.118749 | − | 0.992924i | ||||
\(77\) | 3.78700 | + | 3.78700i | 0.431568 | + | 0.431568i | ||||
\(78\) | 2.86776 | − | 3.49880i | 0.324710 | − | 0.396161i | ||||
\(79\) | −1.28046 | + | 7.26184i | −0.144063 | + | 0.817021i | 0.824052 | + | 0.566514i | \(0.191708\pi\) |
−0.968115 | + | 0.250507i | \(0.919403\pi\) | |||||||
\(80\) | −8.13185 | + | 3.72464i | −0.909169 | + | 0.416427i | ||||
\(81\) | 7.56687 | + | 6.34936i | 0.840764 | + | 0.705484i | ||||
\(82\) | 7.80309 | + | 9.08457i | 0.861707 | + | 1.00322i | ||||
\(83\) | −1.51489 | + | 5.65367i | −0.166281 | + | 0.620570i | 0.831592 | + | 0.555387i | \(0.187430\pi\) |
−0.997873 | + | 0.0651833i | \(0.979237\pi\) | |||||||
\(84\) | 7.00989 | + | 11.5197i | 0.764842 | + | 1.25690i | ||||
\(85\) | 6.14082 | + | 2.61079i | 0.666066 | + | 0.283180i | ||||
\(86\) | −10.8961 | − | 7.44382i | −1.17496 | − | 0.802688i | ||||
\(87\) | 1.16465 | + | 4.34655i | 0.124864 | + | 0.465999i | ||||
\(88\) | 2.17098 | + | 3.47678i | 0.231428 | + | 0.370626i | ||||
\(89\) | 2.65698 | − | 0.468497i | 0.281639 | − | 0.0496606i | −0.0310442 | − | 0.999518i | \(-0.509883\pi\) |
0.312683 | + | 0.949857i | \(0.398772\pi\) | |||||||
\(90\) | −0.560292 | − | 0.875175i | −0.0590600 | − | 0.0922516i | ||||
\(91\) | −4.16504 | − | 4.96370i | −0.436614 | − | 0.520337i | ||||
\(92\) | −0.640421 | − | 5.78135i | −0.0667686 | − | 0.602748i | ||||
\(93\) | 3.08779 | − | 6.62179i | 0.320189 | − | 0.686647i | ||||
\(94\) | −2.89183 | + | 11.3126i | −0.298270 | + | 1.16680i | ||||
\(95\) | 9.36102 | + | 2.71501i | 0.960421 | + | 0.278554i | ||||
\(96\) | 3.24107 | + | 9.79852i | 0.330790 | + | 1.00006i | ||||
\(97\) | −7.86923 | − | 3.66948i | −0.798999 | − | 0.372579i | −0.0201549 | − | 0.999797i | \(-0.506416\pi\) |
−0.778844 | + | 0.627217i | \(0.784194\pi\) | |||||||
\(98\) | 8.80959 | − | 3.32194i | 0.889903 | − | 0.335566i | ||||
\(99\) | −0.364806 | + | 0.306109i | −0.0366644 | + | 0.0307651i | ||||
\(100\) | −2.63119 | − | 9.64763i | −0.263119 | − | 0.964763i | ||||
\(101\) | −2.97125 | − | 16.8508i | −0.295650 | − | 1.67671i | −0.664549 | − | 0.747245i | \(-0.731376\pi\) |
0.368899 | − | 0.929470i | \(-0.379735\pi\) | |||||||
\(102\) | 3.77267 | − | 6.71199i | 0.373550 | − | 0.664586i | ||||
\(103\) | 2.12583 | − | 0.569613i | 0.209464 | − | 0.0561257i | −0.152561 | − | 0.988294i | \(-0.548752\pi\) |
0.362025 | + | 0.932168i | \(0.382085\pi\) | |||||||
\(104\) | −2.25001 | − | 4.41939i | −0.220632 | − | 0.433357i | ||||
\(105\) | −13.9820 | + | 5.63974i | −1.36450 | + | 0.550382i | ||||
\(106\) | −13.5902 | − | 13.2804i | −1.31999 | − | 1.28990i | ||||
\(107\) | 6.65817 | + | 1.78405i | 0.643669 | + | 0.172471i | 0.565865 | − | 0.824498i | \(-0.308542\pi\) |
0.0778043 | + | 0.996969i | \(0.475209\pi\) | |||||||
\(108\) | 8.73702 | − | 4.32211i | 0.840720 | − | 0.415895i | ||||
\(109\) | −8.14891 | + | 9.71150i | −0.780524 | + | 0.930193i | −0.998957 | − | 0.0456593i | \(-0.985461\pi\) |
0.218433 | + | 0.975852i | \(0.429906\pi\) | |||||||
\(110\) | −4.22998 | + | 1.76316i | −0.403313 | + | 0.168111i | ||||
\(111\) | −6.84653 | − | 1.20723i | −0.649844 | − | 0.114585i | ||||
\(112\) | 14.6511 | − | 1.96586i | 1.38440 | − | 0.185756i | ||||
\(113\) | 4.01747 | − | 4.01747i | 0.377932 | − | 0.377932i | −0.492424 | − | 0.870356i | \(-0.663889\pi\) |
0.870356 | + | 0.492424i | \(0.163889\pi\) | |||||||
\(114\) | 4.30036 | − | 10.3920i | 0.402766 | − | 0.973302i | ||||
\(115\) | 6.49417 | + | 0.344090i | 0.605585 | + | 0.0320865i | ||||
\(116\) | 4.87638 | + | 0.744354i | 0.452760 | + | 0.0691115i | ||||
\(117\) | 0.471970 | − | 0.330477i | 0.0436336 | − | 0.0305526i | ||||
\(118\) | −4.25707 | + | 12.1295i | −0.391895 | + | 1.11661i | ||||
\(119\) | −8.44814 | − | 7.08883i | −0.774439 | − | 0.649832i | ||||
\(120\) | −11.3984 | + | 1.79486i | −1.04052 | + | 0.163848i | ||||
\(121\) | −4.44993 | − | 7.70750i | −0.404539 | − | 0.700682i | ||||
\(122\) | 0.166812 | + | 14.4687i | 0.0151025 | + | 1.30993i | ||||
\(123\) | 6.52929 | + | 14.0021i | 0.588727 | + | 1.26253i | ||||
\(124\) | −5.28841 | − | 6.01520i | −0.474913 | − | 0.540181i | ||||
\(125\) | 11.1211 | − | 1.14948i | 0.994701 | − | 0.102813i | ||||
\(126\) | 0.463604 | + | 1.65369i | 0.0413011 | + | 0.147323i | ||||
\(127\) | −16.4025 | − | 11.4851i | −1.45548 | − | 1.01914i | −0.991044 | − | 0.133534i | \(-0.957367\pi\) |
−0.464438 | − | 0.885605i | \(-0.653744\pi\) | |||||||
\(128\) | 11.2639 | + | 1.06003i | 0.995601 | + | 0.0936944i | ||||
\(129\) | −10.9428 | − | 13.0411i | −0.963459 | − | 1.14821i | ||||
\(130\) | 5.28420 | − | 1.67905i | 0.463455 | − | 0.147262i | ||||
\(131\) | 5.21063 | + | 14.3161i | 0.455255 | + | 1.25080i | 0.928980 | + | 0.370130i | \(0.120687\pi\) |
−0.473725 | + | 0.880673i | \(0.657091\pi\) | |||||||
\(132\) | 1.48602 | + | 5.07484i | 0.129341 | + | 0.441708i | ||||
\(133\) | −13.4883 | − | 8.80667i | −1.16959 | − | 0.763636i | ||||
\(134\) | −1.02968 | + | 4.02799i | −0.0889504 | + | 0.347965i | ||||
\(135\) | 3.18032 | + | 10.4238i | 0.273719 | + | 0.897138i | ||||
\(136\) | −5.07744 | − | 6.74249i | −0.435387 | − | 0.578163i | ||||
\(137\) | 19.0460 | + | 1.66631i | 1.62721 | + | 0.142362i | 0.863896 | − | 0.503670i | \(-0.168017\pi\) |
0.763310 | + | 0.646032i | \(0.223573\pi\) | |||||||
\(138\) | 1.21778 | − | 7.40455i | 0.103664 | − | 0.630318i | ||||
\(139\) | 2.64152 | + | 14.9808i | 0.224051 | + | 1.27066i | 0.864491 | + | 0.502649i | \(0.167641\pi\) |
−0.640440 | + | 0.768008i | \(0.721248\pi\) | |||||||
\(140\) | −0.493718 | + | 16.5199i | −0.0417268 | + | 1.39618i | ||||
\(141\) | −7.53170 | + | 13.0453i | −0.634283 | + | 1.09861i | ||||
\(142\) | −0.702938 | − | 3.73429i | −0.0589893 | − | 0.313375i | ||||
\(143\) | −1.07384 | − | 2.30285i | −0.0897989 | − | 0.192574i | ||||
\(144\) | 0.0605941 | + | 1.31305i | 0.00504951 | + | 0.109421i | ||||
\(145\) | −1.70728 | + | 5.24420i | −0.141782 | + | 0.435507i | ||||
\(146\) | 10.9146 | + | 0.828229i | 0.903296 | + | 0.0685447i | ||||
\(147\) | 12.1000 | − | 1.05861i | 0.997992 | − | 0.0873130i | ||||
\(148\) | −4.22619 | + | 6.34196i | −0.347391 | + | 0.521306i | ||||
\(149\) | −21.0607 | − | 3.71356i | −1.72536 | − | 0.304227i | −0.778921 | − | 0.627122i | \(-0.784233\pi\) |
−0.946435 | + | 0.322895i | \(0.895344\pi\) | |||||||
\(150\) | 0.0912659 | − | 12.9005i | 0.00745183 | − | 1.05332i | ||||
\(151\) | 13.1509i | 1.07020i | 0.844787 | + | 0.535102i | \(0.179727\pi\) | ||||
−0.844787 | + | 0.535102i | \(0.820273\pi\) | |||||||
\(152\) | −8.53963 | − | 8.89240i | −0.692655 | − | 0.721269i | ||||
\(153\) | 0.693410 | − | 0.693410i | 0.0560589 | − | 0.0560589i | ||||
\(154\) | 7.53706 | − | 0.747058i | 0.607354 | − | 0.0601996i | ||||
\(155\) | 7.59678 | − | 4.74092i | 0.610188 | − | 0.380800i | ||||
\(156\) | −1.25592 | − | 6.27327i | −0.100554 | − | 0.502264i | ||||
\(157\) | 1.13449 | + | 12.9673i | 0.0905422 | + | 1.03490i | 0.896534 | + | 0.442975i | \(0.146077\pi\) |
−0.805992 | + | 0.591927i | \(0.798367\pi\) | |||||||
\(158\) | 6.79478 | + | 7.91068i | 0.540564 | + | 0.629340i | ||||
\(159\) | −12.2568 | − | 21.2294i | −0.972026 | − | 1.68360i | ||||
\(160\) | −3.21626 | + | 12.2334i | −0.254268 | + | 0.967134i | ||||
\(161\) | −10.0999 | − | 3.67608i | −0.795987 | − | 0.289716i | ||||
\(162\) | 13.7283 | − | 2.58420i | 1.07860 | − | 0.203034i | ||||
\(163\) | −2.20191 | + | 0.590000i | −0.172467 | + | 0.0462124i | −0.344019 | − | 0.938963i | \(-0.611788\pi\) |
0.171552 | + | 0.985175i | \(0.445122\pi\) | |||||||
\(164\) | 16.9317 | − | 0.390471i | 1.32214 | − | 0.0304906i | ||||
\(165\) | −5.86844 | + | 0.717129i | −0.456857 | + | 0.0558284i | ||||
\(166\) | 4.82566 | + | 6.72538i | 0.374544 | + | 0.521991i | ||||
\(167\) | −0.432407 | + | 4.94244i | −0.0334607 | + | 0.382457i | 0.960938 | + | 0.276764i | \(0.0892619\pi\) |
−0.994399 | + | 0.105694i | \(0.966294\pi\) | |||||||
\(168\) | 18.8840 | + | 2.66015i | 1.45694 | + | 0.205235i | ||||
\(169\) | −3.39482 | − | 9.32720i | −0.261140 | − | 0.717477i | ||||
\(170\) | 8.36076 | − | 4.37603i | 0.641241 | − | 0.335626i | ||||
\(171\) | 0.884640 | − | 1.12656i | 0.0676501 | − | 0.0861504i | ||||
\(172\) | −17.9100 | + | 5.24441i | −1.36562 | + | 0.399882i | ||||
\(173\) | 9.04772 | − | 19.4029i | 0.687886 | − | 1.47518i | −0.182705 | − | 0.983168i | \(-0.558485\pi\) |
0.870591 | − | 0.492008i | \(-0.163737\pi\) | |||||||
\(174\) | 5.79817 | + | 2.62278i | 0.439558 | + | 0.198833i | ||||
\(175\) | −18.1345 | − | 3.54663i | −1.37084 | − | 0.268100i | ||||
\(176\) | 5.74902 | + | 0.742364i | 0.433349 | + | 0.0559578i | ||||
\(177\) | −9.51209 | + | 13.5847i | −0.714972 | + | 1.02109i | ||||
\(178\) | 1.86953 | − | 3.32609i | 0.140127 | − | 0.249301i | ||||
\(179\) | 2.33527 | − | 4.04480i | 0.174546 | − | 0.302322i | −0.765458 | − | 0.643486i | \(-0.777488\pi\) |
0.940004 | + | 0.341163i | \(0.110821\pi\) | |||||||
\(180\) | −1.45953 | − | 0.171761i | −0.108787 | − | 0.0128023i | ||||
\(181\) | −3.10753 | − | 1.13105i | −0.230981 | − | 0.0840702i | 0.223937 | − | 0.974604i | \(-0.428109\pi\) |
−0.454918 | + | 0.890533i | \(0.650331\pi\) | |||||||
\(182\) | −9.16299 | + | 0.105642i | −0.679206 | + | 0.00783072i | ||||
\(183\) | −4.83137 | + | 18.0309i | −0.357145 | + | 1.33288i | ||||
\(184\) | −6.89753 | − | 4.48245i | −0.508493 | − | 0.330451i | ||||
\(185\) | −6.22826 | − | 5.81465i | −0.457911 | − | 0.427501i | ||||
\(186\) | −4.47446 | − | 9.31366i | −0.328084 | − | 0.682910i | ||||
\(187\) | −2.48049 | − | 3.54251i | −0.181391 | − | 0.259054i | ||||
\(188\) | 9.78071 | + | 13.3046i | 0.713331 | + | 0.970334i | ||||
\(189\) | − | 18.0117i | − | 1.31016i | ||||||
\(190\) | 11.3616 | − | 7.80472i | 0.824258 | − | 0.566214i | ||||
\(191\) | − | 9.23832i | − | 0.668461i | −0.942491 | − | 0.334231i | \(-0.891524\pi\) | ||
0.942491 | − | 0.334231i | \(-0.108476\pi\) | |||||||
\(192\) | 13.6228 | + | 5.23932i | 0.983141 | + | 0.378116i | ||||
\(193\) | −0.281879 | − | 0.402565i | −0.0202901 | − | 0.0289773i | 0.808879 | − | 0.587975i | \(-0.200075\pi\) |
−0.829169 | + | 0.558998i | \(0.811186\pi\) | |||||||
\(194\) | −11.0682 | + | 5.31738i | −0.794651 | + | 0.381766i | ||||
\(195\) | 7.14869 | − | 0.245523i | 0.511928 | − | 0.0175822i | ||||
\(196\) | 4.26431 | − | 12.6136i | 0.304593 | − | 0.900974i | ||||
\(197\) | 4.93990 | − | 18.4360i | 0.351953 | − | 1.31351i | −0.532322 | − | 0.846542i | \(-0.678681\pi\) |
0.884275 | − | 0.466966i | \(-0.154653\pi\) | |||||||
\(198\) | 0.00776416 | + | 0.673433i | 0.000551775 | + | 0.0478588i | ||||
\(199\) | −11.2947 | − | 4.11094i | −0.800660 | − | 0.291417i | −0.0909003 | − | 0.995860i | \(-0.528974\pi\) |
−0.709760 | + | 0.704443i | \(0.751197\pi\) | |||||||
\(200\) | −12.9110 | − | 5.77112i | −0.912946 | − | 0.408079i | ||||
\(201\) | −2.68176 | + | 4.64495i | −0.189157 | + | 0.327629i | ||||
\(202\) | −21.0944 | − | 11.8567i | −1.48419 | − | 0.834235i | ||||
\(203\) | 5.22812 | − | 7.46653i | 0.366942 | − | 0.524048i | ||||
\(204\) | −3.95913 | − | 10.1436i | −0.277195 | − | 0.710195i | ||||
\(205\) | −2.64606 | + | 18.7495i | −0.184809 | + | 1.30952i | ||||
\(206\) | 1.28276 | − | 2.83579i | 0.0893742 | − | 0.197579i | ||||
\(207\) | 0.403905 | − | 0.866178i | 0.0280734 | − | 0.0602035i | ||||
\(208\) | −6.85086 | − | 1.50097i | −0.475022 | − | 0.104074i | ||||
\(209\) | −4.21524 | − | 4.70473i | −0.291575 | − | 0.325433i | ||||
\(210\) | −6.36618 | + | 20.3489i | −0.439308 | + | 1.40421i | ||||
\(211\) | −7.65682 | − | 21.0370i | −0.527118 | − | 1.44824i | −0.862449 | − | 0.506143i | \(-0.831071\pi\) |
0.335332 | − | 0.942100i | \(-0.391152\pi\) | |||||||
\(212\) | −26.7089 | + | 2.95865i | −1.83438 | + | 0.203201i | ||||
\(213\) | 0.427250 | − | 4.88349i | 0.0292747 | − | 0.334611i | ||||
\(214\) | 7.92029 | − | 5.68304i | 0.541420 | − | 0.388485i | ||||
\(215\) | −2.53087 | − | 20.7107i | −0.172604 | − | 1.41246i | ||||
\(216\) | 3.10530 | − | 13.4309i | 0.211289 | − | 0.913857i | ||||
\(217\) | −14.2954 | + | 3.83045i | −0.970437 | + | 0.260028i | ||||
\(218\) | 3.31662 | + | 17.6192i | 0.224630 | + | 1.19332i | ||||
\(219\) | 13.2695 | + | 4.82972i | 0.896672 | + | 0.326362i | ||||
\(220\) | −1.86366 | + | 6.20723i | −0.125648 | + | 0.418491i | ||||
\(221\) | 2.61612 | + | 4.53125i | 0.175979 | + | 0.304805i | ||||
\(222\) | −7.45826 | + | 6.40618i | −0.500565 | + | 0.429955i | ||||
\(223\) | −1.09821 | − | 12.5526i | −0.0735418 | − | 0.840587i | −0.939964 | − | 0.341274i | \(-0.889141\pi\) |
0.866422 | − | 0.499313i | \(-0.166414\pi\) | |||||||
\(224\) | 10.9844 | − | 17.7871i | 0.733926 | − | 1.18845i | ||||
\(225\) | 0.454705 | − | 1.57889i | 0.0303137 | − | 0.105259i | ||||
\(226\) | −0.792523 | − | 7.99576i | −0.0527178 | − | 0.531870i | ||||
\(227\) | 15.6148 | − | 15.6148i | 1.03639 | − | 1.03639i | 0.0370778 | − | 0.999312i | \(-0.488195\pi\) |
0.999312 | − | 0.0370778i | \(-0.0118049\pi\) | |||||||
\(228\) | −7.51114 | − | 14.0199i | −0.497437 | − | 0.928490i | ||||
\(229\) | 5.68132i | 0.375432i | 0.982223 | + | 0.187716i | \(0.0601085\pi\) | ||||
−0.982223 | + | 0.187716i | \(0.939891\pi\) | |||||||
\(230\) | 6.19831 | − | 6.79458i | 0.408704 | − | 0.448022i | ||||
\(231\) | 9.62262 | + | 1.69673i | 0.633122 | + | 0.111636i | ||||
\(232\) | 5.18576 | − | 4.66627i | 0.340462 | − | 0.306356i | ||||
\(233\) | −16.7861 | + | 1.46860i | −1.09970 | + | 0.0962109i | −0.622525 | − | 0.782600i | \(-0.713893\pi\) |
−0.477171 | + | 0.878811i | \(0.658338\pi\) | |||||||
\(234\) | 0.0616541 | − | 0.812490i | 0.00403045 | − | 0.0531141i | ||||
\(235\) | −16.4545 | + | 8.37207i | −1.07337 | + | 0.546133i | ||||
\(236\) | 9.45033 | + | 15.5302i | 0.615164 | + | 1.01093i | ||||
\(237\) | 5.68559 | + | 12.1928i | 0.369318 | + | 0.792006i | ||||
\(238\) | −15.3271 | + | 2.88516i | −0.993510 | + | 0.187017i | ||||
\(239\) | −5.47203 | + | 9.47783i | −0.353956 | + | 0.613070i | −0.986939 | − | 0.161096i | \(-0.948497\pi\) |
0.632983 | + | 0.774166i | \(0.281830\pi\) | |||||||
\(240\) | −8.25537 | + | 14.0761i | −0.532882 | + | 0.908611i | ||||
\(241\) | 2.43737 | + | 13.8230i | 0.157005 | + | 0.890419i | 0.956930 | + | 0.290319i | \(0.0937613\pi\) |
−0.799925 | + | 0.600100i | \(0.795128\pi\) | |||||||
\(242\) | −12.4195 | − | 2.04255i | −0.798353 | − | 0.131300i | ||||
\(243\) | 3.38726 | + | 0.296347i | 0.217293 | + | 0.0190107i | ||||
\(244\) | 15.9748 | + | 12.7885i | 1.02268 | + | 0.818703i | ||||
\(245\) | 13.1401 | + | 6.99638i | 0.839487 | + | 0.446983i | ||||
\(246\) | 21.1684 | + | 5.41128i | 1.34965 | + | 0.345010i | ||||
\(247\) | 4.58442 | + | 6.11497i | 0.291699 | + | 0.389086i | ||||
\(248\) | −11.3202 | + | 0.391677i | −0.718832 | + | 0.0248715i | ||||
\(249\) | 3.65233 | + | 10.0347i | 0.231457 | + | 0.635922i | ||||
\(250\) | 8.71268 | − | 13.1943i | 0.551038 | − | 0.834480i | ||||
\(251\) | 0.850481 | + | 1.01356i | 0.0536819 | + | 0.0639756i | 0.792217 | − | 0.610239i | \(-0.208927\pi\) |
−0.738535 | + | 0.674215i | \(0.764482\pi\) | |||||||
\(252\) | 2.22436 | + | 0.975448i | 0.140121 | + | 0.0614475i | ||||
\(253\) | −3.45253 | − | 2.41749i | −0.217058 | − | 0.151986i | ||||
\(254\) | −27.2666 | + | 7.64403i | −1.71086 | + | 0.479629i | ||||
\(255\) | 11.9096 | − | 2.52430i | 0.745805 | − | 0.158078i | ||||
\(256\) | 11.2574 | − | 11.3697i | 0.703589 | − | 0.710608i | ||||
\(257\) | 0.740058 | + | 1.58706i | 0.0461635 | + | 0.0989980i | 0.928037 | − | 0.372488i | \(-0.121495\pi\) |
−0.881873 | + | 0.471486i | \(0.843718\pi\) | |||||||
\(258\) | −24.0739 | + | 0.277553i | −1.49878 | + | 0.0172797i | ||||
\(259\) | 7.04114 | + | 12.1956i | 0.437515 | + | 0.757798i | ||||
\(260\) | 2.90075 | − | 7.28489i | 0.179897 | − | 0.451790i | ||||
\(261\) | 0.620878 | + | 0.520979i | 0.0384314 | + | 0.0322478i | ||||
\(262\) | 20.3296 | + | 7.13505i | 1.25597 | + | 0.440805i | ||||
\(263\) | −4.64747 | + | 3.25419i | −0.286575 | + | 0.200662i | −0.708021 | − | 0.706191i | \(-0.750412\pi\) |
0.421446 | + | 0.906854i | \(0.361523\pi\) | |||||||
\(264\) | 6.88285 | + | 2.92420i | 0.423610 | + | 0.179972i | ||||
\(265\) | 1.58964 | − | 30.0021i | 0.0976508 | − | 1.84301i | ||||
\(266\) | −21.7245 | + | 6.85787i | −1.33201 | + | 0.420483i | ||||
\(267\) | 3.48059 | − | 3.48059i | 0.213009 | − | 0.213009i | ||||
\(268\) | 3.48255 | + | 4.73726i | 0.212731 | + | 0.289374i | ||||
\(269\) | 0.699204 | + | 0.123288i | 0.0426312 | + | 0.00751703i | 0.194923 | − | 0.980819i | \(-0.437554\pi\) |
−0.152292 | + | 0.988336i | \(0.548665\pi\) | |||||||
\(270\) | 14.2522 | + | 5.86632i | 0.867364 | + | 0.357013i | ||||
\(271\) | −0.239492 | + | 0.285416i | −0.0145481 | + | 0.0173378i | −0.773269 | − | 0.634078i | \(-0.781380\pi\) |
0.758721 | + | 0.651415i | \(0.225824\pi\) | |||||||
\(272\) | −11.9265 | − | 0.491073i | −0.723152 | − | 0.0297757i | ||||
\(273\) | −11.4190 | − | 3.05970i | −0.691107 | − | 0.185182i | ||||
\(274\) | 18.8970 | − | 19.3379i | 1.14161 | − | 1.16824i | ||||
\(275\) | −6.50895 | − | 3.18390i | −0.392505 | − | 0.191996i | ||||
\(276\) | −7.00707 | − | 7.97006i | −0.421776 | − | 0.479741i | ||||
\(277\) | 20.4764 | − | 5.48663i | 1.23031 | − | 0.329660i | 0.415608 | − | 0.909544i | \(-0.363569\pi\) |
0.814699 | + | 0.579884i | \(0.196902\pi\) | |||||||
\(278\) | 18.7535 | + | 10.5410i | 1.12476 | + | 0.632205i | ||||
\(279\) | −0.228519 | − | 1.29599i | −0.0136811 | − | 0.0775891i | ||||
\(280\) | 17.6261 | + | 15.3499i | 1.05336 | + | 0.917331i | ||||
\(281\) | 14.3109 | − | 12.0083i | 0.853720 | − | 0.716356i | −0.106886 | − | 0.994271i | \(-0.534088\pi\) |
0.960606 | + | 0.277916i | \(0.0896435\pi\) | |||||||
\(282\) | 7.51630 | + | 19.9328i | 0.447589 | + | 1.18698i | ||||
\(283\) | 2.37506 | + | 1.10751i | 0.141182 | + | 0.0658345i | 0.491926 | − | 0.870637i | \(-0.336293\pi\) |
−0.350743 | + | 0.936472i | \(0.614071\pi\) | |||||||
\(284\) | −4.71459 | − | 2.57890i | −0.279759 | − | 0.153030i | ||||
\(285\) | 16.8312 | − | 5.73836i | 0.996994 | − | 0.339911i | ||||
\(286\) | −3.48145 | − | 0.889964i | −0.205862 | − | 0.0526247i | ||||
\(287\) | 13.2257 | − | 28.3627i | 0.780691 | − | 1.67420i | ||||
\(288\) | 1.49048 | + | 1.11086i | 0.0878275 | + | 0.0654581i | ||||
\(289\) | −5.20324 | − | 6.20098i | −0.306073 | − | 0.364764i | ||||
\(290\) | 4.20533 | + | 6.56872i | 0.246945 | + | 0.385728i | ||||
\(291\) | −15.6005 | + | 2.75080i | −0.914520 | + | 0.161254i | ||||
\(292\) | 10.6907 | − | 11.1954i | 0.625625 | − | 0.655161i | ||||
\(293\) | 7.04774 | + | 26.3025i | 0.411733 | + | 1.53661i | 0.791290 | + | 0.611441i | \(0.209410\pi\) |
−0.379557 | + | 0.925168i | \(0.623924\pi\) | |||||||
\(294\) | 9.68966 | − | 14.1835i | 0.565113 | − | 0.827200i | ||||
\(295\) | −18.8497 | + | 7.60317i | −1.09747 | + | 0.442674i | ||||
\(296\) | 3.14784 | + | 10.3079i | 0.182964 | + | 0.599136i | ||||
\(297\) | 1.82806 | − | 6.82240i | 0.106075 | − | 0.395876i | ||||
\(298\) | −22.9424 | + | 19.7061i | −1.32902 | + | 1.14154i | ||||
\(299\) | 3.90632 | + | 3.27779i | 0.225908 | + | 0.189560i | ||||
\(300\) | −14.0282 | − | 11.6650i | −0.809918 | − | 0.673477i | ||||
\(301\) | −5.98804 | + | 33.9598i | −0.345145 | + | 1.95741i | ||||
\(302\) | 14.3839 | + | 11.7896i | 0.827700 | + | 0.678417i | ||||
\(303\) | −22.0742 | − | 22.0742i | −1.26813 | − | 1.26813i | ||||
\(304\) | −17.3818 | + | 1.36835i | −0.996916 | + | 0.0784801i | ||||
\(305\) | −17.0108 | + | 15.2989i | −0.974037 | + | 0.876014i | ||||
\(306\) | −0.136788 | − | 1.38006i | −0.00781967 | − | 0.0788927i | ||||
\(307\) | 11.6735 | + | 16.6715i | 0.666241 | + | 0.951491i | 0.999961 | + | 0.00881875i | \(0.00280713\pi\) |
−0.333720 | + | 0.942672i | \(0.608304\pi\) | |||||||
\(308\) | 5.93980 | − | 8.91345i | 0.338451 | − | 0.507891i | ||||
\(309\) | 2.58097 | − | 3.07588i | 0.146826 | − | 0.174981i | ||||
\(310\) | 1.62501 | − | 12.5592i | 0.0922941 | − | 0.713316i | ||||
\(311\) | −14.6115 | + | 8.43597i | −0.828543 | + | 0.478360i | −0.853354 | − | 0.521332i | \(-0.825435\pi\) |
0.0248102 | + | 0.999692i | \(0.492102\pi\) | |||||||
\(312\) | −7.98736 | − | 4.25024i | −0.452195 | − | 0.240622i | ||||
\(313\) | −11.6912 | + | 5.45170i | −0.660826 | + | 0.308148i | −0.723945 | − | 0.689858i | \(-0.757673\pi\) |
0.0631191 | + | 0.998006i | \(0.479895\pi\) | |||||||
\(314\) | 15.2001 | + | 10.3842i | 0.857793 | + | 0.586013i | ||||
\(315\) | −1.48029 | + | 2.27658i | −0.0834049 | + | 0.128271i | ||||
\(316\) | 14.7438 | − | 0.340015i | 0.829404 | − | 0.0191273i | ||||
\(317\) | 19.8855 | − | 28.3995i | 1.11688 | − | 1.59507i | 0.371506 | − | 0.928431i | \(-0.378842\pi\) |
0.745377 | − | 0.666643i | \(-0.232270\pi\) | |||||||
\(318\) | −34.2079 | − | 5.62595i | −1.91828 | − | 0.315487i | ||||
\(319\) | 2.73809 | − | 2.29753i | 0.153304 | − | 0.128637i | ||||
\(320\) | 10.4970 | + | 14.4849i | 0.586801 | + | 0.809731i | ||||
\(321\) | 11.8176 | − | 4.30124i | 0.659593 | − | 0.240072i | ||||
\(322\) | −13.0752 | + | 7.75133i | −0.728654 | + | 0.431965i | ||||
\(323\) | 9.49133 | + | 8.89457i | 0.528112 | + | 0.494907i | ||||
\(324\) | 9.48077 | − | 17.3321i | 0.526710 | − | 0.962896i | ||||
\(325\) | 7.50933 | + | 4.52382i | 0.416543 | + | 0.250936i | ||||
\(326\) | −1.32867 | + | 2.93729i | −0.0735883 | + | 0.162681i | ||||
\(327\) | −2.01586 | + | 23.0414i | −0.111477 | + | 1.27419i | ||||
\(328\) | 14.7520 | − | 18.8693i | 0.814544 | − | 1.04188i | ||||
\(329\) | 30.0489 | − | 5.29843i | 1.65665 | − | 0.292112i | ||||
\(330\) | −4.47663 | + | 7.06155i | −0.246430 | + | 0.388726i | ||||
\(331\) | 19.7925 | + | 11.4272i | 1.08790 | + | 0.628097i | 0.933016 | − | 0.359836i | \(-0.117167\pi\) |
0.154881 | + | 0.987933i | \(0.450501\pi\) | |||||||
\(332\) | 11.6821 | + | 0.751128i | 0.641138 | + | 0.0412235i | ||||
\(333\) | −1.13487 | + | 0.529199i | −0.0621906 | + | 0.0290000i | ||||
\(334\) | 5.01818 | + | 4.90379i | 0.274583 | + | 0.268323i | ||||
\(335\) | −5.85884 | + | 2.98099i | −0.320103 | + | 0.162869i | ||||
\(336\) | 19.8389 | − | 18.2698i | 1.08230 | − | 0.996699i | ||||
\(337\) | −0.249363 | − | 2.85024i | −0.0135837 | − | 0.155262i | 0.986373 | − | 0.164522i | \(-0.0526081\pi\) |
−0.999957 | + | 0.00925956i | \(0.997053\pi\) | |||||||
\(338\) | −13.2451 | − | 4.64862i | −0.720440 | − | 0.252852i | ||||
\(339\) | 1.79999 | − | 10.2082i | 0.0977619 | − | 0.554435i | ||||
\(340\) | 2.70901 | − | 13.0677i | 0.146917 | − | 0.708696i | ||||
\(341\) | −5.80354 | −0.314279 | ||||||||
\(342\) | −0.439117 | − | 1.97753i | −0.0237448 | − | 0.106933i | ||||
\(343\) | 0.895062 | + | 0.895062i | 0.0483288 | + | 0.0483288i | ||||
\(344\) | −10.3200 | + | 24.2908i | −0.556417 | + | 1.30967i | ||||
\(345\) | 10.0656 | − | 6.28166i | 0.541915 | − | 0.338193i | ||||
\(346\) | −13.1109 | − | 27.2905i | −0.704846 | − | 1.46715i | ||||
\(347\) | 5.82423 | − | 0.509554i | 0.312661 | − | 0.0273543i | 0.0702545 | − | 0.997529i | \(-0.477619\pi\) |
0.242406 | + | 0.970175i | \(0.422063\pi\) | |||||||
\(348\) | 8.06669 | − | 3.99050i | 0.432420 | − | 0.213913i | ||||
\(349\) | −5.42727 | + | 3.13344i | −0.290515 | + | 0.167729i | −0.638174 | − | 0.769892i | \(-0.720310\pi\) |
0.347659 | + | 0.937621i | \(0.386977\pi\) | |||||||
\(350\) | −20.1365 | + | 16.6552i | −1.07634 | + | 0.890258i | ||||
\(351\) | −2.92271 | + | 8.03009i | −0.156003 | + | 0.428614i | ||||
\(352\) | 5.96590 | − | 5.62252i | 0.317984 | − | 0.299681i | ||||
\(353\) | −2.17797 | − | 8.12830i | −0.115922 | − | 0.432626i | 0.883432 | − | 0.468558i | \(-0.155226\pi\) |
−0.999354 | + | 0.0359327i | \(0.988560\pi\) | |||||||
\(354\) | 6.33086 | + | 22.5824i | 0.336481 | + | 1.20024i | ||||
\(355\) | 3.70169 | − | 4.73234i | 0.196465 | − | 0.251167i | ||||
\(356\) | −1.96193 | − | 5.02662i | −0.103982 | − | 0.266410i | ||||
\(357\) | −20.0439 | − | 1.75362i | −1.06084 | − | 0.0928112i | ||||
\(358\) | −2.33049 | − | 6.18033i | −0.123170 | − | 0.326641i | ||||
\(359\) | −16.7290 | + | 6.08887i | −0.882925 | + | 0.321358i | −0.743390 | − | 0.668859i | \(-0.766783\pi\) |
−0.139535 | + | 0.990217i | \(0.544561\pi\) | |||||||
\(360\) | −1.49631 | + | 1.44239i | −0.0788627 | + | 0.0760205i | ||||
\(361\) | 15.3162 | + | 11.2434i | 0.806115 | + | 0.591759i | ||||
\(362\) | −4.02296 | + | 2.38492i | −0.211442 | + | 0.125348i | ||||
\(363\) | −14.7160 | − | 6.86219i | −0.772390 | − | 0.360172i | ||||
\(364\) | −8.09898 | + | 10.1168i | −0.424502 | + | 0.530265i | ||||
\(365\) | 10.4077 | + | 13.8280i | 0.544764 | + | 0.723792i | ||||
\(366\) | 15.3902 | + | 21.4489i | 0.804458 | + | 1.12115i | ||||
\(367\) | −5.42878 | − | 3.80127i | −0.283380 | − | 0.198425i | 0.423241 | − | 0.906017i | \(-0.360892\pi\) |
−0.706621 | + | 0.707592i | \(0.749781\pi\) | |||||||
\(368\) | −11.0863 | + | 3.52576i | −0.577912 | + | 0.183793i | ||||
\(369\) | 2.40991 | + | 1.39136i | 0.125455 | + | 0.0724314i | ||||
\(370\) | −11.9434 | + | 1.59945i | −0.620907 | + | 0.0831512i | ||||
\(371\) | −16.9829 | + | 46.6602i | −0.881709 | + | 2.42247i | ||||
\(372\) | −14.1982 | − | 3.45561i | −0.736142 | − | 0.179165i | ||||
\(373\) | 4.55305 | + | 1.21999i | 0.235748 | + | 0.0631686i | 0.374759 | − | 0.927122i | \(-0.377726\pi\) |
−0.139011 | + | 0.990291i | \(0.544392\pi\) | |||||||
\(374\) | −6.09838 | − | 0.462763i | −0.315340 | − | 0.0239289i | ||||
\(375\) | 15.4176 | − | 13.3557i | 0.796161 | − | 0.689685i | ||||
\(376\) | 23.3203 | + | 1.22966i | 1.20265 | + | 0.0634147i | ||||
\(377\) | −3.54242 | + | 2.48043i | −0.182444 | + | 0.127748i | ||||
\(378\) | −19.7004 | − | 16.1473i | −1.01328 | − | 0.830526i | ||||
\(379\) | 10.0688 | 0.517201 | 0.258601 | − | 0.965984i | \(-0.416739\pi\) | ||||
0.258601 | + | 0.965984i | \(0.416739\pi\) | |||||||
\(380\) | 1.64909 | − | 19.4237i | 0.0845966 | − | 0.996415i | ||||
\(381\) | −36.5322 | −1.87160 | ||||||||
\(382\) | −10.1045 | − | 8.28205i | −0.516991 | − | 0.423747i | ||||
\(383\) | 6.81602 | − | 4.77263i | 0.348283 | − | 0.243870i | −0.386324 | − | 0.922363i | \(-0.626255\pi\) |
0.734607 | + | 0.678493i | \(0.237367\pi\) | |||||||
\(384\) | 17.9432 | − | 10.2031i | 0.915662 | − | 0.520672i | ||||
\(385\) | 8.75366 | + | 8.17233i | 0.446128 | + | 0.416501i | ||||
\(386\) | −0.693010 | − | 0.0525876i | −0.0352733 | − | 0.00267664i | ||||
\(387\) | −2.96180 | − | 0.793613i | −0.150557 | − | 0.0403416i | ||||
\(388\) | −4.10659 | + | 16.8729i | −0.208481 | + | 0.856593i | ||||
\(389\) | 0.855706 | − | 2.35103i | 0.0433860 | − | 0.119202i | −0.916108 | − | 0.400933i | \(-0.868686\pi\) |
0.959494 | + | 0.281730i | \(0.0909084\pi\) | |||||||
\(390\) | 6.14018 | − | 8.03905i | 0.310920 | − | 0.407073i | ||||
\(391\) | 7.51623 | + | 4.33950i | 0.380112 | + | 0.219458i | ||||
\(392\) | −9.97337 | − | 15.9721i | −0.503731 | − | 0.806714i | ||||
\(393\) | 22.7685 | + | 15.9427i | 1.14852 | + | 0.804202i | ||||
\(394\) | −15.7359 | − | 21.9307i | −0.792764 | − | 1.10485i | ||||
\(395\) | −2.30414 | + | 16.3267i | −0.115934 | + | 0.821485i | ||||
\(396\) | 0.743534 | + | 0.595233i | 0.0373640 | + | 0.0299116i | ||||
\(397\) | −33.7554 | − | 15.7404i | −1.69413 | − | 0.789987i | −0.997354 | − | 0.0727025i | \(-0.976838\pi\) |
−0.696780 | − | 0.717285i | \(-0.745385\pi\) | |||||||
\(398\) | −14.6220 | + | 8.66827i | −0.732932 | + | 0.434501i | ||||
\(399\) | −29.3741 | + | 0.953410i | −1.47055 | + | 0.0477302i | ||||
\(400\) | −17.8868 | + | 8.94778i | −0.894339 | + | 0.447389i | ||||
\(401\) | 15.3592 | − | 5.59029i | 0.767001 | − | 0.279166i | 0.0712597 | − | 0.997458i | \(-0.477298\pi\) |
0.695742 | + | 0.718292i | \(0.255076\pi\) | |||||||
\(402\) | 2.67628 | + | 7.09734i | 0.133481 | + | 0.353983i | ||||
\(403\) | 6.99485 | + | 0.611970i | 0.348438 | + | 0.0304844i | ||||
\(404\) | −31.8792 | + | 12.4427i | −1.58605 | + | 0.619048i | ||||
\(405\) | 17.3974 | + | 13.6085i | 0.864484 | + | 0.676210i | ||||
\(406\) | −3.47963 | − | 12.4120i | −0.172691 | − | 0.615995i | ||||
\(407\) | 1.42925 | + | 5.33404i | 0.0708453 | + | 0.264398i | ||||
\(408\) | −14.6440 | − | 4.76331i | −0.724985 | − | 0.235819i | ||||
\(409\) | −6.19941 | + | 17.0327i | −0.306541 | + | 0.842215i | 0.686783 | + | 0.726862i | \(0.259022\pi\) |
−0.993325 | + | 0.115353i | \(0.963200\pi\) | |||||||
\(410\) | 18.1352 | + | 19.7028i | 0.895635 | + | 0.973054i | ||||
\(411\) | 30.2079 | − | 17.4406i | 1.49005 | − | 0.860279i | ||||
\(412\) | −1.95169 | − | 3.94529i | −0.0961529 | − | 0.194370i | ||||
\(413\) | 33.4643 | − | 2.92775i | 1.64667 | − | 0.144065i | ||||
\(414\) | −0.585292 | − | 1.21829i | −0.0287656 | − | 0.0598759i | ||||
\(415\) | −2.95148 | + | 12.7508i | −0.144882 | + | 0.625912i | ||||
\(416\) | −7.78342 | + | 6.14758i | −0.381614 | + | 0.301410i | ||||
\(417\) | 19.6246 | + | 19.6246i | 0.961021 | + | 0.961021i | ||||
\(418\) | −8.92476 | + | 0.392717i | −0.436524 | + | 0.0192084i | ||||
\(419\) | 26.1306 | 1.27656 | 0.638281 | − | 0.769803i | \(-0.279646\pi\) | ||||
0.638281 | + | 0.769803i | \(0.279646\pi\) | |||||||
\(420\) | 16.5495 | + | 25.2056i | 0.807534 | + | 1.22991i | ||||
\(421\) | 0.937711 | − | 5.31803i | 0.0457013 | − | 0.259185i | −0.953393 | − | 0.301731i | \(-0.902436\pi\) |
0.999095 | + | 0.0425458i | \(0.0135468\pi\) | |||||||
\(422\) | −29.8736 | − | 10.4847i | −1.45422 | − | 0.510387i | ||||
\(423\) | 0.236467 | + | 2.70283i | 0.0114974 | + | 0.131416i | ||||
\(424\) | −20.7082 | + | 31.8655i | −1.00568 | + | 1.54753i | ||||
\(425\) | 13.9236 | + | 5.36314i | 0.675393 | + | 0.260151i | ||||
\(426\) | −4.95833 | − | 4.84530i | −0.240232 | − | 0.234756i | ||||
\(427\) | 34.2692 | − | 15.9800i | 1.65840 | − | 0.773325i | ||||
\(428\) | 0.884583 | − | 13.7577i | 0.0427579 | − | 0.665002i | ||||
\(429\) | −4.01470 | − | 2.31789i | −0.193831 | − | 0.111909i | ||||
\(430\) | −24.9214 | − | 15.7988i | −1.20182 | − | 0.761885i | ||||
\(431\) | 17.9158 | − | 3.15904i | 0.862975 | − | 0.152166i | 0.275394 | − | 0.961331i | \(-0.411192\pi\) |
0.587581 | + | 0.809166i | \(0.300080\pi\) | |||||||
\(432\) | −11.9063 | − | 15.4371i | −0.572842 | − | 0.742718i | ||||
\(433\) | 0.334373 | − | 3.82190i | 0.0160689 | − | 0.183669i | −0.983918 | − | 0.178619i | \(-0.942837\pi\) |
0.999987 | − | 0.00504975i | \(-0.00160739\pi\) | |||||||
\(434\) | −8.62611 | + | 19.0697i | −0.414067 | + | 0.915375i | ||||
\(435\) | 2.93632 | + | 9.62406i | 0.140786 | + | 0.461438i | ||||
\(436\) | 22.2444 | + | 12.1678i | 1.06532 | + | 0.582734i | ||||
\(437\) | 11.6572 | + | 4.98209i | 0.557641 | + | 0.238326i | ||||
\(438\) | 17.1785 | − | 10.1839i | 0.820822 | − | 0.486605i | ||||
\(439\) | 30.6188 | − | 11.1443i | 1.46135 | − | 0.531890i | 0.515616 | − | 0.856820i | \(-0.327563\pi\) |
0.945738 | + | 0.324930i | \(0.105341\pi\) | |||||||
\(440\) | 5.11846 | + | 7.60311i | 0.244013 | + | 0.362464i | ||||
\(441\) | 1.67590 | − | 1.40625i | 0.0798047 | − | 0.0669641i | ||||
\(442\) | 7.30142 | + | 1.20082i | 0.347293 | + | 0.0571170i | ||||
\(443\) | −12.0663 | + | 17.2324i | −0.573285 | + | 0.818736i | −0.996169 | − | 0.0874479i | \(-0.972129\pi\) |
0.422884 | + | 0.906184i | \(0.361018\pi\) | |||||||
\(444\) | 0.320569 | + | 13.9006i | 0.0152135 | + | 0.659693i | ||||
\(445\) | 5.90172 | − | 1.25090i | 0.279768 | − | 0.0592985i | ||||
\(446\) | −14.7141 | − | 10.0521i | −0.696733 | − | 0.475982i | ||||
\(447\) | −35.3613 | + | 16.4892i | −1.67253 | + | 0.779914i | ||||
\(448\) | −9.60745 | − | 27.9603i | −0.453909 | − | 1.32100i | ||||
\(449\) | −3.23960 | + | 1.87038i | −0.152886 | + | 0.0882689i | −0.574491 | − | 0.818511i | \(-0.694800\pi\) |
0.421605 | + | 0.906779i | \(0.361467\pi\) | |||||||
\(450\) | −1.31929 | − | 1.91279i | −0.0621917 | − | 0.0901700i | ||||
\(451\) | 7.88821 | − | 9.40081i | 0.371441 | − | 0.442667i | ||||
\(452\) | −9.45592 | − | 6.30128i | −0.444769 | − | 0.296387i | ||||
\(453\) | 13.7619 | + | 19.6540i | 0.646590 | + | 0.923426i | ||||
\(454\) | −3.08032 | − | 31.0773i | −0.144566 | − | 1.45853i | ||||
\(455\) | −9.68879 | − | 10.7729i | −0.454218 | − | 0.505043i | ||||
\(456\) | −22.0680 | − | 4.35331i | −1.03343 | − | 0.203863i | ||||
\(457\) | −19.7227 | − | 19.7227i | −0.922590 | − | 0.922590i | 0.0746215 | − | 0.997212i | \(-0.476225\pi\) |
−0.997212 | + | 0.0746215i | \(0.976225\pi\) | |||||||
\(458\) | 6.21399 | + | 5.09324i | 0.290361 | + | 0.237992i | ||||
\(459\) | −2.52558 | + | 14.3233i | −0.117884 | + | 0.668552i | ||||
\(460\) | −1.87492 | − | 12.8707i | −0.0874185 | − | 0.600101i | ||||
\(461\) | 8.89150 | + | 7.46086i | 0.414119 | + | 0.347487i | 0.825920 | − | 0.563787i | \(-0.190656\pi\) |
−0.411802 | + | 0.911273i | \(0.635100\pi\) | |||||||
\(462\) | 10.4824 | − | 9.00372i | 0.487684 | − | 0.418891i | ||||
\(463\) | −8.02731 | + | 29.9583i | −0.373061 | + | 1.39228i | 0.483097 | + | 0.875567i | \(0.339512\pi\) |
−0.856158 | + | 0.516715i | \(0.827155\pi\) | |||||||
\(464\) | −0.454795 | − | 9.85524i | −0.0211133 | − | 0.457518i | ||||
\(465\) | 6.39220 | − | 15.0350i | 0.296431 | − | 0.697233i | ||||
\(466\) | −13.4423 | + | 19.6766i | −0.622702 | + | 0.911499i | ||||
\(467\) | −7.03778 | − | 26.2653i | −0.325669 | − | 1.21541i | −0.913637 | − | 0.406531i | \(-0.866738\pi\) |
0.587968 | − | 0.808884i | \(-0.299928\pi\) | |||||||
\(468\) | −0.833395 | − | 0.795823i | −0.0385237 | − | 0.0367869i | ||||
\(469\) | 10.6993 | − | 1.88657i | 0.494048 | − | 0.0871139i | ||||
\(470\) | −5.59425 | + | 25.5027i | −0.258044 | + | 1.17635i | ||||
\(471\) | 15.2653 | + | 18.1924i | 0.703386 | + | 0.838263i | ||||
\(472\) | 25.4584 | + | 3.58626i | 1.17182 | + | 0.165071i | ||||
\(473\) | −5.71481 | + | 12.2555i | −0.262767 | + | 0.563506i | ||||
\(474\) | 18.4330 | + | 4.71204i | 0.846657 | + | 0.216431i | ||||
\(475\) | 21.1279 | + | 5.34888i | 0.969416 | + | 0.245423i | ||||
\(476\) | −10.5849 | + | 19.3507i | −0.485160 | + | 0.886937i | ||||
\(477\) | −4.00161 | − | 1.86598i | −0.183221 | − | 0.0854373i | ||||
\(478\) | 5.46084 | + | 14.4818i | 0.249773 | + | 0.662384i | ||||
\(479\) | 26.3116 | − | 22.0781i | 1.20221 | − | 1.00877i | 0.202644 | − | 0.979252i | \(-0.435047\pi\) |
0.999564 | − | 0.0295199i | \(-0.00939785\pi\) | |||||||
\(480\) | 7.99505 | + | 21.6485i | 0.364922 | + | 0.988114i | ||||
\(481\) | −1.16018 | − | 6.57968i | −0.0528995 | − | 0.300008i | ||||
\(482\) | 17.3041 | + | 9.72629i | 0.788181 | + | 0.443020i | ||||
\(483\) | −18.9412 | + | 5.07529i | −0.861856 | + | 0.230934i | ||||
\(484\) | −13.3680 | + | 11.7528i | −0.607634 | + | 0.534216i | ||||
\(485\) | −17.8674 | − | 7.59639i | −0.811317 | − | 0.344934i | ||||
\(486\) | 3.36078 | − | 3.43917i | 0.152448 | − | 0.156004i | ||||
\(487\) | −26.0902 | − | 6.99084i | −1.18226 | − | 0.316785i | −0.386436 | − | 0.922316i | \(-0.626294\pi\) |
−0.795822 | + | 0.605531i | \(0.792961\pi\) | |||||||
\(488\) | 28.3088 | − | 6.00774i | 1.28148 | − | 0.271957i | ||||
\(489\) | −2.67334 | + | 3.18597i | −0.120893 | + | 0.144074i | ||||
\(490\) | 19.4323 | − | 8.09986i | 0.877860 | − | 0.365914i | ||||
\(491\) | −24.6257 | − | 4.34217i | −1.11134 | − | 0.195959i | −0.412305 | − | 0.911046i | \(-0.635276\pi\) |
−0.699036 | + | 0.715086i | \(0.746387\pi\) | |||||||
\(492\) | 24.8958 | − | 18.3019i | 1.12239 | − | 0.825115i | ||||
\(493\) | −5.20446 | + | 5.20446i | −0.234397 | + | 0.234397i | ||||
\(494\) | 10.7982 | + | 0.467764i | 0.485833 | + | 0.0210457i | ||||
\(495\) | −0.791756 | + | 0.712077i | −0.0355868 | + | 0.0320055i | ||||
\(496\) | −9.72001 | + | 12.7327i | −0.436442 | + | 0.571714i | ||||
\(497\) | −8.13400 | + | 5.69548i | −0.364860 | + | 0.255477i | ||||
\(498\) | 14.2498 | + | 5.00122i | 0.638548 | + | 0.224110i | ||||
\(499\) | 4.27496 | + | 3.58711i | 0.191373 | + | 0.160581i | 0.733440 | − | 0.679754i | \(-0.237914\pi\) |
−0.542067 | + | 0.840335i | \(0.682358\pi\) | |||||||
\(500\) | −6.62053 | − | 21.3581i | −0.296079 | − | 0.955163i | ||||
\(501\) | 4.52583 | + | 7.83897i | 0.202199 | + | 0.350219i | ||||
\(502\) | 1.87104 | − | 0.0215716i | 0.0835087 | − | 0.000962790i | ||||
\(503\) | −0.732366 | − | 1.57056i | −0.0326546 | − | 0.0700280i | 0.889304 | − | 0.457317i | \(-0.151189\pi\) |
−0.921958 | + | 0.387289i | \(0.873412\pi\) | |||||||
\(504\) | 3.06102 | − | 1.55843i | 0.136349 | − | 0.0694180i | ||||
\(505\) | −7.93334 | − | 37.4292i | −0.353029 | − | 1.66558i | ||||
\(506\) | −5.73930 | + | 1.60898i | −0.255143 | + | 0.0715279i | ||||
\(507\) | −14.8341 | − | 10.3870i | −0.658806 | − | 0.461301i | ||||
\(508\) | −16.0835 | + | 36.6758i | −0.713588 | + | 1.62723i | ||||
\(509\) | 17.0633 | + | 20.3352i | 0.756317 | + | 0.901343i | 0.997609 | − | 0.0691092i | \(-0.0220157\pi\) |
−0.241292 | + | 0.970452i | \(0.577571\pi\) | |||||||
\(510\) | 7.91582 | − | 15.2892i | 0.350518 | − | 0.677016i | ||||
\(511\) | −9.78308 | − | 26.8788i | −0.432778 | − | 1.18905i | ||||
\(512\) | −2.34357 | − | 22.5057i | −0.103572 | − | 0.994622i | ||||
\(513\) | −1.16405 | + | 21.2125i | −0.0513939 | + | 0.936556i | ||||
\(514\) | 2.39931 | + | 0.613337i | 0.105829 | + | 0.0270531i | ||||
\(515\) | 4.70697 | − | 1.43611i | 0.207414 | − | 0.0632824i | ||||
\(516\) | −21.2784 | + | 26.5799i | −0.936731 | + | 1.17011i | ||||
\(517\) | 11.9196 | + | 1.04283i | 0.524222 | + | 0.0458635i | ||||
\(518\) | 19.6514 | + | 3.23193i | 0.863431 | + | 0.142003i | ||||
\(519\) | −6.78255 | − | 38.4657i | −0.297721 | − | 1.68846i | ||||
\(520\) | −5.36741 | − | 9.70355i | −0.235377 | − | 0.425529i | ||||
\(521\) | 17.9741 | − | 31.1320i | 0.787458 | − | 1.36392i | −0.140061 | − | 0.990143i | \(-0.544730\pi\) |
0.927519 | − | 0.373775i | \(-0.121937\pi\) | |||||||
\(522\) | 1.12644 | − | 0.212039i | 0.0493028 | − | 0.00928070i | ||||
\(523\) | −14.8332 | − | 31.8098i | −0.648609 | − | 1.39095i | −0.905434 | − | 0.424488i | \(-0.860454\pi\) |
0.256825 | − | 0.966458i | \(-0.417324\pi\) | |||||||
\(524\) | 26.0293 | − | 15.8392i | 1.13710 | − | 0.691938i | ||||
\(525\) | −30.8134 | + | 13.6766i | −1.34481 | + | 0.596894i | ||||
\(526\) | −0.607106 | + | 8.00056i | −0.0264711 | + | 0.348841i | ||||
\(527\) | 11.9051 | − | 1.04156i | 0.518595 | − | 0.0453712i | ||||
\(528\) | 9.36877 | − | 4.90666i | 0.407723 | − | 0.213535i | ||||
\(529\) | −14.3205 | − | 2.52510i | −0.622632 | − | 0.109787i | ||||
\(530\) | −31.3899 | − | 28.6352i | −1.36349 | − | 1.24383i | ||||
\(531\) | 2.98701i | 0.129625i | ||||||||
\(532\) | −11.9749 | + | 29.9094i | −0.519179 | + | 1.29674i | ||||
\(533\) | −10.4987 | + | 10.4987i | −0.454751 | + | 0.454751i | ||||
\(534\) | −0.686613 | − | 6.92724i | −0.0297126 | − | 0.299771i | ||||
\(535\) | 15.0163 | + | 3.47587i | 0.649210 | + | 0.150275i | ||||
\(536\) | 8.30349 | + | 0.437836i | 0.358656 | + | 0.0189116i | ||||
\(537\) | −0.742667 | − | 8.48872i | −0.0320484 | − | 0.366315i | ||||
\(538\) | 0.761676 | − | 0.654233i | 0.0328382 | − | 0.0282060i | ||||
\(539\) | −4.82397 | − | 8.35536i | −0.207783 | − | 0.359891i | ||||
\(540\) | 19.1933 | − | 10.3294i | 0.825949 | − | 0.444507i | ||||
\(541\) | −27.7414 | − | 10.0970i | −1.19270 | − | 0.434106i | −0.332026 | − | 0.943270i | \(-0.607732\pi\) |
−0.860669 | + | 0.509164i | \(0.829955\pi\) | |||||||
\(542\) | 0.0974736 | + | 0.517819i | 0.00418685 | + | 0.0222422i | ||||
\(543\) | −5.82781 | + | 1.56156i | −0.250095 | + | 0.0670128i | ||||
\(544\) | −11.2291 | + | 12.6045i | −0.481444 | + | 0.540413i | ||||
\(545\) | −17.4654 | + | 22.3282i | −0.748136 | + | 0.956436i | ||||
\(546\) | −13.5836 | + | 9.74660i | −0.581322 | + | 0.417116i | ||||
\(547\) | −2.51303 | + | 28.7241i | −0.107449 | + | 1.22815i | 0.730695 | + | 0.682704i | \(0.239196\pi\) |
−0.838144 | + | 0.545448i | \(0.816359\pi\) | |||||||
\(548\) | −4.20995 | − | 38.0050i | −0.179840 | − | 1.62349i | ||||
\(549\) | 1.14995 | + | 3.15945i | 0.0490785 | + | 0.134842i | ||||
\(550\) | −9.31762 | + | 4.26489i | −0.397305 | + | 0.181855i | ||||
\(551\) | −6.63976 | + | 8.45553i | −0.282863 | + | 0.360218i | ||||
\(552\) | −14.9991 | + | 0.518967i | −0.638403 | + | 0.0220887i | ||||
\(553\) | 11.5167 | − | 24.6977i | 0.489741 | − | 1.05025i | ||||
\(554\) | 12.3558 | − | 27.3149i | 0.524948 | − | 1.16050i | ||||
\(555\) | −15.3929 | − | 2.17236i | −0.653394 | − | 0.0922117i | ||||
\(556\) | 28.3416 | − | 11.0619i | 1.20195 | − | 0.469131i | ||||
\(557\) | −21.8595 | + | 31.2186i | −0.926216 | + | 1.32277i | 0.0201906 | + | 0.999796i | \(0.493573\pi\) |
−0.946407 | + | 0.322977i | \(0.895316\pi\) | |||||||
\(558\) | −1.62237 | − | 0.911900i | −0.0686803 | − | 0.0386038i | ||||
\(559\) | 8.18022 | − | 14.1686i | 0.345986 | − | 0.599266i | ||||
\(560\) | 32.5907 | − | 5.51771i | 1.37721 | − | 0.233166i | ||||
\(561\) | −7.41419 | − | 2.69854i | −0.313027 | − | 0.113933i | ||||
\(562\) | −0.304579 | − | 26.4180i | −0.0128479 | − | 1.11438i | ||||
\(563\) | 10.9515 | − | 40.8715i | 0.461551 | − | 1.72253i | −0.206529 | − | 0.978440i | \(-0.566217\pi\) |
0.668080 | − | 0.744090i | \(-0.267116\pi\) | |||||||
\(564\) | 28.5400 | + | 9.64853i | 1.20175 | + | 0.406277i | ||||
\(565\) | 8.66969 | − | 9.28639i | 0.364737 | − | 0.390682i | ||||
\(566\) | 3.34056 | − | 1.60487i | 0.140414 | − | 0.0674577i | ||||
\(567\) | −20.9382 | − | 29.9028i | −0.879321 | − | 1.25580i | ||||
\(568\) | −7.04727 | + | 2.84466i | −0.295697 | + | 0.119359i | ||||
\(569\) | 28.7547i | 1.20546i | 0.797945 | + | 0.602730i | \(0.205921\pi\) | ||||
−0.797945 | + | 0.602730i | \(0.794079\pi\) | |||||||
\(570\) | 8.81261 | − | 23.5536i | 0.369120 | − | 0.986554i | ||||
\(571\) | − | 43.1979i | − | 1.80777i | −0.427770 | − | 0.903887i | \(-0.640701\pi\) | ||
0.427770 | − | 0.903887i | \(-0.359299\pi\) | |||||||
\(572\) | −4.09449 | + | 3.01002i | −0.171199 | + | 0.125855i | ||||
\(573\) | −9.66754 | − | 13.8067i | −0.403867 | − | 0.576782i | ||||
\(574\) | −19.1652 | − | 39.8926i | −0.799940 | − | 1.66509i | ||||
\(575\) | 14.5393 | + | 0.270508i | 0.606329 | + | 0.0112810i | ||||
\(576\) | 2.55121 | − | 0.634353i | 0.106301 | − | 0.0264314i | ||||
\(577\) | −1.70954 | + | 6.38007i | −0.0711689 | + | 0.265606i | −0.992337 | − | 0.123558i | \(-0.960569\pi\) |
0.921168 | + | 0.389164i | \(0.127236\pi\) | |||||||
\(578\) | −11.4470 | + | 0.131975i | −0.476134 | + | 0.00548945i | ||||
\(579\) | −0.842537 | − | 0.306658i | −0.0350146 | − | 0.0127443i | ||||
\(580\) | 10.9546 | + | 1.28917i | 0.454866 | + | 0.0535298i | ||||
\(581\) | 10.8154 | − | 18.7328i | 0.448697 | − | 0.777167i | ||||
\(582\) | −10.9770 | + | 19.5293i | −0.455012 | + | 0.809514i | ||||
\(583\) | −11.1684 | + | 15.9501i | −0.462548 | + | 0.660587i | ||||
\(584\) | −2.66099 | − | 21.7296i | −0.110112 | − | 0.899176i | ||||
\(585\) | 1.02937 | − | 0.774758i | 0.0425592 | − | 0.0320323i | ||||
\(586\) | 35.0868 | + | 15.8714i | 1.44942 | + | 0.655641i | ||||
\(587\) | −4.69696 | + | 10.0727i | −0.193864 | + | 0.415744i | −0.979079 | − | 0.203480i | \(-0.934775\pi\) |
0.785215 | + | 0.619224i | \(0.212553\pi\) | |||||||
\(588\) | −6.82667 | − | 23.3135i | −0.281527 | − | 0.961434i | ||||
\(589\) | 17.0834 | − | 3.58728i | 0.703910 | − | 0.147811i | ||||
\(590\) | −8.58252 | + | 27.4332i | −0.353337 | + | 1.12941i | ||||
\(591\) | −11.9098 | − | 32.7220i | −0.489904 | − | 1.34600i | ||||
\(592\) | 14.0964 | + | 5.79797i | 0.579358 | + | 0.238295i | ||||
\(593\) | −0.706451 | + | 8.07477i | −0.0290105 | + | 0.331591i | 0.967796 | + | 0.251736i | \(0.0810014\pi\) |
−0.996806 | + | 0.0798553i | \(0.974554\pi\) | |||||||
\(594\) | −5.82322 | − | 8.11566i | −0.238930 | − | 0.332989i | ||||
\(595\) | −19.4236 | − | 15.1933i | −0.796288 | − | 0.622866i | ||||
\(596\) | 0.986104 | + | 42.7597i | 0.0403924 | + | 1.75151i | ||||
\(597\) | −21.1819 | + | 5.67567i | −0.866917 | + | 0.232290i | ||||
\(598\) | 7.08708 | − | 1.33406i | 0.289812 | − | 0.0545540i | ||||
\(599\) | 1.29816 | + | 0.472492i | 0.0530414 | + | 0.0193055i | 0.368405 | − | 0.929666i | \(-0.379904\pi\) |
−0.315363 | + | 0.948971i | \(0.602126\pi\) | |||||||
\(600\) | −25.3348 | + | 4.88593i | −1.03429 | + | 0.199467i | ||||
\(601\) | 0.00476483 | + | 0.00825292i | 0.000194361 | + | 0.000336644i | 0.866123 | − | 0.499832i | \(-0.166605\pi\) |
−0.865928 | + | 0.500168i | \(0.833271\pi\) | |||||||
\(602\) | 31.7757 | + | 36.9941i | 1.29508 | + | 1.50777i | ||||
\(603\) | 0.0841973 | + | 0.962379i | 0.00342878 | + | 0.0391911i | ||||
\(604\) | 25.7900 | − | 5.16323i | 1.04938 | − | 0.210089i | ||||
\(605\) | −10.5360 | − | 16.8828i | −0.428351 | − | 0.686383i | ||||
\(606\) | −43.9331 | + | 4.35456i | −1.78466 | + | 0.176892i | ||||
\(607\) | −4.47283 | + | 4.47283i | −0.181547 | + | 0.181547i | −0.792030 | − | 0.610483i | \(-0.790975\pi\) |
0.610483 | + | 0.792030i | \(0.290975\pi\) | |||||||
\(608\) | −14.0860 | + | 20.2382i | −0.571262 | + | 0.820768i | ||||
\(609\) | − | 16.6298i | − | 0.673872i | ||||||
\(610\) | 1.48329 | + | 32.3210i | 0.0600568 | + | 1.30864i | ||||
\(611\) | −14.2564 | − | 2.51378i | −0.576751 | − | 0.101697i | ||||
\(612\) | −1.63208 | − | 1.08759i | −0.0659729 | − | 0.0439634i | ||||
\(613\) | −5.69989 | + | 0.498676i | −0.230217 | + | 0.0201413i | −0.201680 | − | 0.979451i | \(-0.564640\pi\) |
−0.0285363 | + | 0.999593i | \(0.509085\pi\) | |||||||
\(614\) | 28.6997 | + | 2.17782i | 1.15823 | + | 0.0878896i | ||||
\(615\) | 15.6660 | + | 30.7901i | 0.631716 | + | 1.24158i | ||||
\(616\) | −4.42420 | − | 14.4875i | −0.178256 | − | 0.583719i | ||||
\(617\) | −14.6041 | − | 31.3186i | −0.587940 | − | 1.26084i | −0.945095 | − | 0.326796i | \(-0.894031\pi\) |
0.357155 | − | 0.934045i | \(-0.383747\pi\) | |||||||
\(618\) | −1.05046 | − | 5.58045i | −0.0422556 | − | 0.224479i | ||||
\(619\) | 9.48809 | − | 16.4339i | 0.381358 | − | 0.660532i | −0.609898 | − | 0.792480i | \(-0.708790\pi\) |
0.991257 | + | 0.131947i | \(0.0421230\pi\) | |||||||
\(620\) | −12.2800 | − | 13.0366i | −0.493175 | − | 0.523561i | ||||
\(621\) | 2.46142 | + | 13.9594i | 0.0987736 | + | 0.560173i | ||||
\(622\) | −3.87216 | + | 23.5442i | −0.155260 | + | 0.944038i | ||||
\(623\) | −9.93267 | − | 0.868996i | −0.397944 | − | 0.0348156i | ||||
\(624\) | −11.8093 | + | 4.92595i | −0.472751 | + | 0.197196i | ||||
\(625\) | 24.7646 | − | 3.42238i | 0.990586 | − | 0.136895i | ||||
\(626\) | −4.51820 | + | 17.6747i | −0.180583 | + | 0.706424i | ||||
\(627\) | −11.2230 | − | 2.62014i | −0.448203 | − | 0.104638i | ||||
\(628\) | 24.9845 | − | 7.31597i | 0.996992 | − | 0.291939i | ||||
\(629\) | −3.88920 | − | 10.6855i | −0.155073 | − | 0.426059i | ||||
\(630\) | 1.16296 | + | 3.66001i | 0.0463336 | + | 0.145818i | ||||
\(631\) | 26.6447 | + | 31.7539i | 1.06071 | + | 1.26410i | 0.963177 | + | 0.268870i | \(0.0866501\pi\) |
0.0975310 | + | 0.995232i | \(0.468905\pi\) | |||||||
\(632\) | 12.8458 | − | 16.4310i | 0.510978 | − | 0.653590i | ||||
\(633\) | −33.4575 | − | 23.4272i | −1.32982 | − | 0.931147i | ||||
\(634\) | −13.2350 | − | 47.2098i | −0.525629 | − | 1.87494i | ||||
\(635\) | −37.5369 | − | 24.4074i | −1.48961 | − | 0.968580i | ||||
\(636\) | −36.8204 | + | 32.3716i | −1.46002 | + | 1.28362i | ||||
\(637\) | 4.93315 | + | 10.5792i | 0.195458 | + | 0.419162i | ||||
\(638\) | −0.0582747 | − | 5.05452i | −0.00230712 | − | 0.200110i | ||||
\(639\) | −0.441477 | − | 0.764660i | −0.0174645 | − | 0.0302495i | ||||
\(640\) | 25.2535 | + | 1.50437i | 0.998230 | + | 0.0594652i | ||||
\(641\) | −14.1764 | − | 11.8954i | −0.559935 | − | 0.469841i | 0.318354 | − | 0.947972i | \(-0.396870\pi\) |
−0.878289 | + | 0.478131i | \(0.841314\pi\) | |||||||
\(642\) | 5.88980 | − | 16.7816i | 0.232452 | − | 0.662316i | ||||
\(643\) | 31.6019 | − | 22.1279i | 1.24626 | − | 0.872640i | 0.250819 | − | 0.968034i | \(-0.419300\pi\) |
0.995440 | + | 0.0953942i | \(0.0304112\pi\) | |||||||
\(644\) | −3.24372 | + | 21.2501i | −0.127820 | + | 0.837372i | ||||
\(645\) | −25.4553 | − | 28.3037i | −1.00230 | − | 1.11446i | ||||
\(646\) | 18.2374 | − | 2.40733i | 0.717540 | − | 0.0947153i | ||||
\(647\) | 34.4411 | − | 34.4411i | 1.35402 | − | 1.35402i | 0.472911 | − | 0.881110i | \(-0.343203\pi\) |
0.881110 | − | 0.472911i | \(-0.156797\pi\) | |||||||
\(648\) | −10.4577 | − | 25.9077i | −0.410819 | − | 1.01775i | ||||
\(649\) | 12.9727 | + | 2.28743i | 0.509221 | + | 0.0897895i | ||||
\(650\) | 11.6800 | − | 4.15783i | 0.458127 | − | 0.163084i | ||||
\(651\) | −17.3561 | + | 20.6842i | −0.680240 | + | 0.810678i | ||||
\(652\) | 2.02154 | + | 4.08649i | 0.0791697 | + | 0.160039i | ||||
\(653\) | −6.16014 | − | 1.65061i | −0.241065 | − | 0.0645932i | 0.136264 | − | 0.990673i | \(-0.456491\pi\) |
−0.377329 | + | 0.926079i | \(0.623157\pi\) | |||||||
\(654\) | 23.3945 | + | 22.8612i | 0.914796 | + | 0.893943i | ||||
\(655\) | 12.7433 | + | 31.5930i | 0.497920 | + | 1.23444i | ||||
\(656\) | −7.41338 | − | 33.0512i | −0.289444 | − | 1.29043i | ||||
\(657\) | 2.45678 | − | 0.658292i | 0.0958480 | − | 0.0256824i | ||||
\(658\) | 21.1433 | − | 37.6162i | 0.824251 | − | 1.46643i | ||||
\(659\) | 6.58560 | + | 37.3488i | 0.256538 | + | 1.45490i | 0.792092 | + | 0.610401i | \(0.208992\pi\) |
−0.535554 | + | 0.844501i | \(0.679897\pi\) | |||||||
\(660\) | 3.71038 | + | 11.2270i | 0.144427 | + | 0.437009i | ||||
\(661\) | 15.6747 | − | 13.1526i | 0.609674 | − | 0.511577i | −0.284865 | − | 0.958568i | \(-0.591949\pi\) |
0.894539 | + | 0.446991i | \(0.147504\pi\) | |||||||
\(662\) | 30.2424 | − | 11.4039i | 1.17540 | − | 0.443224i | ||||
\(663\) | 8.65157 | + | 4.03429i | 0.335999 | + | 0.156679i | ||||
\(664\) | 11.2944 | − | 12.1040i | 0.438308 | − | 0.469726i | ||||
\(665\) | −30.8190 | − | 18.6455i | −1.19511 | − | 0.723040i | ||||
\(666\) | −0.438584 | + | 1.71570i | −0.0169948 | + | 0.0664819i | ||||
\(667\) | −3.03155 | + | 6.50118i | −0.117382 | + | 0.251727i | ||||
\(668\) | 9.86231 | − | 1.09248i | 0.381584 | − | 0.0422695i | ||||
\(669\) | −14.7771 | − | 17.6107i | −0.571317 | − | 0.680869i | ||||
\(670\) | −1.99191 | + | 9.08057i | −0.0769541 | + | 0.350813i | ||||
\(671\) | 14.6022 | − | 2.57476i | 0.563712 | − | 0.0993976i | ||||
\(672\) | −2.19736 | − | 38.0776i | −0.0847651 | − | 1.46888i | ||||
\(673\) | 7.37274 | + | 27.5155i | 0.284198 | + | 1.06064i | 0.949423 | + | 0.314000i | \(0.101669\pi\) |
−0.665225 | + | 0.746643i | \(0.731664\pi\) | |||||||
\(674\) | −3.34102 | − | 2.28246i | −0.128691 | − | 0.0879172i | ||||
\(675\) | 7.90728 | + | 23.0505i | 0.304352 | + | 0.887214i | ||||
\(676\) | −16.9586 | + | 10.3195i | −0.652253 | + | 0.396905i | ||||
\(677\) | −1.49118 | + | 5.56517i | −0.0573108 | + | 0.213887i | −0.988643 | − | 0.150284i | \(-0.951981\pi\) |
0.931332 | + | 0.364171i | \(0.118648\pi\) | |||||||
\(678\) | −9.55167 | − | 11.1203i | −0.366830 | − | 0.427073i | ||||
\(679\) | 24.5808 | + | 20.6257i | 0.943324 | + | 0.791543i | ||||
\(680\) | −11.8643 | − | 14.6781i | −0.454976 | − | 0.562878i | ||||
\(681\) | 6.99605 | − | 39.6766i | 0.268089 | − | 1.52041i | ||||
\(682\) | −5.20281 | + | 6.34767i | −0.199226 | + | 0.243065i | ||||
\(683\) | −3.79394 | − | 3.79394i | −0.145171 | − | 0.145171i | 0.630786 | − | 0.775957i | \(-0.282733\pi\) |
−0.775957 | + | 0.630786i | \(0.782733\pi\) | |||||||
\(684\) | −2.55661 | − | 1.29255i | −0.0977544 | − | 0.0494219i | ||||
\(685\) | 42.6909 | + | 2.26195i | 1.63113 | + | 0.0864245i | ||||
\(686\) | 1.78140 | − | 0.176568i | 0.0680140 | − | 0.00674140i | ||||
\(687\) | 5.94528 | + | 8.49074i | 0.226827 | + | 0.323942i | ||||
\(688\) | 17.3164 | + | 33.0640i | 0.660183 | + | 1.26055i | ||||
\(689\) | 15.1429 | − | 18.0466i | 0.576898 | − | 0.687520i | ||||
\(690\) | 2.15311 | − | 16.6408i | 0.0819675 | − | 0.633504i | ||||
\(691\) | −0.184618 | + | 0.106589i | −0.00702318 | + | 0.00405484i | −0.503507 | − | 0.863991i | \(-0.667957\pi\) |
0.496484 | + | 0.868046i | \(0.334624\pi\) | |||||||
\(692\) | −41.6030 | − | 10.1255i | −1.58151 | − | 0.384914i | ||||
\(693\) | 1.59503 | − | 0.743776i | 0.0605903 | − | 0.0282537i | ||||
\(694\) | 4.66403 | − | 6.82710i | 0.177044 | − | 0.259153i | ||||
\(695\) | 7.05297 | + | 33.2757i | 0.267534 | + | 1.26222i | ||||
\(696\) | 2.86706 | − | 12.4004i | 0.108675 | − | 0.470038i | ||||
\(697\) | −14.4944 | + | 20.7001i | −0.549013 | + | 0.784072i | ||||
\(698\) | −1.43827 | + | 8.74522i | −0.0544393 | + | 0.331011i | ||||
\(699\) | −23.5501 | + | 19.7608i | −0.890745 | + | 0.747424i | ||||
\(700\) | 0.164609 | + | 36.9557i | 0.00622165 | + | 1.39679i | ||||
\(701\) | 14.6848 | − | 5.34482i | 0.554636 | − | 0.201871i | −0.0494691 | − | 0.998776i | \(-0.515753\pi\) |
0.604105 | + | 0.796905i | \(0.293531\pi\) | |||||||
\(702\) | 6.16279 | + | 10.3956i | 0.232600 | + | 0.392358i | ||||
\(703\) | −7.50425 | − | 14.8179i | −0.283028 | − | 0.558869i | ||||
\(704\) | −0.801309 | − | 11.5658i | −0.0302005 | − | 0.435902i | ||||
\(705\) | −15.8302 | + | 29.7310i | −0.596200 | + | 1.11974i | ||||
\(706\) | −10.8429 | − | 4.90476i | −0.408079 | − | 0.184593i | ||||
\(707\) | −5.51125 | + | 62.9938i | −0.207272 | + | 2.36913i | ||||
\(708\) | 30.3753 | + | 13.3205i | 1.14157 | + | 0.500614i | ||||
\(709\) | 17.6590 | − | 3.11375i | 0.663196 | − | 0.116939i | 0.168090 | − | 0.985772i | \(-0.446240\pi\) |
0.495106 | + | 0.868832i | \(0.335129\pi\) | |||||||
\(710\) | −1.85751 | − | 8.29125i | −0.0697111 | − | 0.311165i | ||||
\(711\) | 2.09850 | + | 1.21157i | 0.0787000 | + | 0.0454375i | ||||
\(712\) | −7.25676 | − | 2.36043i | −0.271958 | − | 0.0884610i | ||||
\(713\) | 10.5558 | − | 4.92225i | 0.395318 | − | 0.184340i | ||||
\(714\) | −19.8872 | + | 20.3511i | −0.744259 | + | 0.761621i | ||||
\(715\) | −2.57651 | − | 5.06388i | −0.0963561 | − | 0.189379i | ||||
\(716\) | −8.84905 | − | 2.99161i | −0.330705 | − | 0.111802i | ||||
\(717\) | 1.74023 | + | 19.8909i | 0.0649900 | + | 0.742839i | ||||
\(718\) | −8.33765 | + | 23.7561i | −0.311158 | + | 0.886571i | ||||
\(719\) | −0.476092 | + | 2.70005i | −0.0177552 | + | 0.100695i | −0.992398 | − | 0.123074i | \(-0.960725\pi\) |
0.974642 | + | 0.223769i | \(0.0718360\pi\) | |||||||
\(720\) | 0.236193 | + | 2.92969i | 0.00880239 | + | 0.109183i | ||||
\(721\) | −8.13335 | −0.302902 | ||||||||
\(722\) | 26.0284 | − | 6.67259i | 0.968676 | − | 0.248328i | ||||
\(723\) | 18.1079 | + | 18.1079i | 0.673440 | + | 0.673440i | ||||
\(724\) | −0.998022 | + | 6.53820i | −0.0370912 | + | 0.242990i | ||||
\(725\) | −3.41283 | + | 11.8505i | −0.126749 | + | 0.440117i | ||||
\(726\) | −20.6983 | + | 9.94388i | −0.768187 | + | 0.369052i | ||||
\(727\) | −24.8385 | + | 2.17309i | −0.921208 | + | 0.0805953i | −0.537884 | − | 0.843019i | \(-0.680776\pi\) |
−0.383324 | + | 0.923614i | \(0.625221\pi\) | |||||||
\(728\) | 3.80470 | + | 17.9279i | 0.141011 | + | 0.664453i | ||||
\(729\) | −20.2910 | + | 11.7150i | −0.751520 | + | 0.433890i | ||||
\(730\) | 24.4549 | + | 1.01316i | 0.905117 | + | 0.0374988i | ||||
\(731\) | 9.52362 | − | 26.1659i | 0.352244 | − | 0.967782i | ||||
\(732\) | 37.2570 | + | 2.39553i | 1.37706 | + | 0.0885414i | ||||
\(733\) | −0.975433 | − | 3.64037i | −0.0360285 | − | 0.134460i | 0.945569 | − | 0.325421i | \(-0.105506\pi\) |
−0.981598 | + | 0.190961i | \(0.938839\pi\) | |||||||
\(734\) | −9.02451 | + | 2.52997i | −0.333101 | + | 0.0933830i | ||||
\(735\) | 26.9593 | − | 3.29445i | 0.994407 | − | 0.121518i | ||||
\(736\) | −6.08240 | + | 15.2865i | −0.224200 | + | 0.563469i | ||||
\(737\) | 4.24412 | + | 0.371312i | 0.156334 | + | 0.0136775i | ||||
\(738\) | 3.68227 | − | 1.38852i | 0.135546 | − | 0.0511120i | ||||
\(739\) | −10.3871 | + | 3.78061i | −0.382097 | + | 0.139072i | −0.525925 | − | 0.850531i | \(-0.676281\pi\) |
0.143828 | + | 0.989603i | \(0.454059\pi\) | |||||||
\(740\) | −8.95771 | + | 14.4971i | −0.329292 | + | 0.532923i | ||||
\(741\) | 13.2505 | + | 4.34142i | 0.486769 | + | 0.159486i | ||||
\(742\) | 35.8099 | + | 60.4055i | 1.31462 | + | 2.21756i | ||||
\(743\) | 13.5908 | + | 6.33748i | 0.498597 | + | 0.232500i | 0.655614 | − | 0.755096i | \(-0.272410\pi\) |
−0.157017 | + | 0.987596i | \(0.550188\pi\) | |||||||
\(744\) | −16.5081 | + | 12.4315i | −0.605218 | + | 0.455760i | ||||
\(745\) | −47.3503 | − | 6.68242i | −1.73478 | − | 0.244825i | ||||
\(746\) | 5.41614 | − | 3.88624i | 0.198299 | − | 0.142285i | ||||
\(747\) | 1.57556 | + | 1.10322i | 0.0576467 | + | 0.0403646i | ||||
\(748\) | −5.97328 | + | 6.25529i | −0.218405 | + | 0.228716i | ||||
\(749\) | −22.0611 | − | 12.7370i | −0.806094 | − | 0.465399i | ||||
\(750\) | −0.786191 | − | 28.8363i | −0.0287076 | − | 1.05295i | ||||
\(751\) | −8.28994 | + | 22.7764i | −0.302504 | + | 0.831124i | 0.691559 | + | 0.722320i | \(0.256924\pi\) |
−0.994063 | + | 0.108804i | \(0.965298\pi\) | |||||||
\(752\) | 22.2513 | − | 24.4044i | 0.811422 | − | 0.889935i | ||||
\(753\) | 2.33170 | + | 0.624777i | 0.0849719 | + | 0.0227681i | ||||
\(754\) | −0.462751 | + | 6.09822i | −0.0168524 | + | 0.222084i | ||||
\(755\) | 1.00937 | + | 29.3890i | 0.0367346 | + | 1.06957i | ||||
\(756\) | −35.3224 | + | 7.07164i | −1.28466 | + | 0.257193i | ||||
\(757\) | 4.47980 | − | 3.13679i | 0.162821 | − | 0.114009i | −0.489326 | − | 0.872101i | \(-0.662757\pi\) |
0.652147 | + | 0.758092i | \(0.273868\pi\) | |||||||
\(758\) | 9.02660 | − | 11.0129i | 0.327861 | − | 0.400005i | ||||
\(759\) | −7.68961 | −0.279115 | ||||||||
\(760\) | −19.7665 | − | 19.2169i | −0.717005 | − | 0.697069i | ||||
\(761\) | −18.2163 | −0.660340 | −0.330170 | − | 0.943922i | \(-0.607106\pi\) | ||||
−0.330170 | + | 0.943922i | \(0.607106\pi\) | |||||||
\(762\) | −32.7507 | + | 39.9574i | −1.18643 | + | 1.44750i | ||||
\(763\) | 38.3780 | − | 26.8725i | 1.38938 | − | 0.972851i | ||||
\(764\) | −18.1171 | + | 3.62710i | −0.655455 | + | 0.131224i | ||||
\(765\) | 1.49638 | − | 1.60282i | 0.0541016 | − | 0.0579501i | ||||
\(766\) | 0.890387 | − | 11.7337i | 0.0321710 | − | 0.423956i | ||||
\(767\) | −15.3944 | − | 4.12492i | −0.555859 | − | 0.148942i | ||||
\(768\) | 4.92625 | − | 28.7725i | 0.177761 | − | 1.03824i | ||||
\(769\) | −16.8252 | + | 46.2269i | −0.606733 | + | 1.66699i | 0.130583 | + | 0.991437i | \(0.458315\pi\) |
−0.737316 | + | 0.675548i | \(0.763907\pi\) | |||||||
\(770\) | 16.7861 | − | 2.24798i | 0.604930 | − | 0.0810115i | ||||
\(771\) | 2.76681 | + | 1.59742i | 0.0996443 | + | 0.0575297i | ||||
\(772\) | −0.678794 | + | 0.710841i | −0.0244303 | + | 0.0255837i | ||||
\(773\) | −14.0033 | − | 9.80524i | −0.503665 | − | 0.352670i | 0.293966 | − | 0.955816i | \(-0.405025\pi\) |
−0.797631 | + | 0.603146i | \(0.793914\pi\) | |||||||
\(774\) | −3.52325 | + | 2.52803i | −0.126640 | + | 0.0908683i | ||||
\(775\) | 16.6130 | − | 11.1778i | 0.596757 | − | 0.401520i | ||||
\(776\) | 14.7734 | + | 19.6180i | 0.530333 | + | 0.704245i | ||||
\(777\) | 23.2852 | + | 10.8581i | 0.835352 | + | 0.389531i | ||||
\(778\) | −1.80433 | − | 3.04361i | −0.0646884 | − | 0.109119i | ||||
\(779\) | −17.4091 | + | 32.5483i | −0.623746 | + | 1.16616i | ||||
\(780\) | −3.28817 | − | 13.9228i | −0.117735 | − | 0.498516i | ||||
\(781\) | −3.65902 | + | 1.33177i | −0.130930 | + | 0.0476546i | ||||
\(782\) | 11.4846 | − | 4.33063i | 0.410688 | − | 0.154863i | ||||
\(783\) | −11.9752 | − | 1.04769i | −0.427958 | − | 0.0374415i | ||||
\(784\) | −26.4107 | − | 3.41037i | −0.943238 | − | 0.121799i | ||||
\(785\) | 3.53058 | + | 28.8916i | 0.126012 | + | 1.03118i | ||||
\(786\) | 37.8492 | − | 10.6108i | 1.35004 | − | 0.378475i | ||||
\(787\) | 11.5885 | + | 43.2488i | 0.413084 | + | 1.54165i | 0.788642 | + | 0.614853i | \(0.210785\pi\) |
−0.375558 | + | 0.926799i | \(0.622549\pi\) | |||||||
\(788\) | −38.0939 | − | 2.44934i | −1.35704 | − | 0.0872542i | ||||
\(789\) | −3.54026 | + | 9.72679i | −0.126037 | + | 0.346283i | ||||
\(790\) | 15.7918 | + | 17.1569i | 0.561847 | + | 0.610414i | ||||
\(791\) | −18.1838 | + | 10.4984i | −0.646540 | + | 0.373280i | ||||
\(792\) | 1.31761 | − | 0.279626i | 0.0468193 | − | 0.00993606i | ||||
\(793\) | −17.8712 | + | 1.56352i | −0.634623 | + | 0.0555223i | ||||
\(794\) | −47.4775 | + | 22.8091i | −1.68491 | + | 0.809466i | ||||
\(795\) | −29.0203 | − | 46.5016i | −1.02924 | − | 1.64924i | ||||
\(796\) | −3.62743 | + | 23.7639i | −0.128571 | + | 0.842289i | ||||
\(797\) | 34.7672 | + | 34.7672i | 1.23152 | + | 1.23152i | 0.963381 | + | 0.268137i | \(0.0864079\pi\) |
0.268137 | + | 0.963381i | \(0.413592\pi\) | |||||||
\(798\) | −25.2908 | + | 32.9829i | −0.895284 | + | 1.16758i | ||||
\(799\) | −24.6384 | −0.871645 | ||||||||
\(800\) | −6.24860 | + | 27.5854i | −0.220921 | + | 0.975292i | ||||
\(801\) | 0.153954 | − | 0.873115i | 0.00543969 | − | 0.0308500i | ||||
\(802\) | 7.65492 | − | 21.8109i | 0.270305 | − | 0.770169i | ||||
\(803\) | −0.977596 | − | 11.1740i | −0.0344986 | − | 0.394321i | ||||
\(804\) | 10.1620 | + | 3.43549i | 0.358387 | + | 0.121160i | ||||
\(805\) | −22.8530 | − | 7.43992i | −0.805462 | − | 0.262223i | ||||
\(806\) | 6.94015 | − | 7.10205i | 0.244456 | − | 0.250159i | ||||
\(807\) | 1.17398 | − | 0.547434i | 0.0413259 | − | 0.0192706i | ||||
\(808\) | −14.9701 | + | 46.0230i | −0.526645 | + | 1.61908i | ||||
\(809\) | −21.9850 | − | 12.6931i | −0.772953 | − | 0.446265i | 0.0609740 | − | 0.998139i | \(-0.480579\pi\) |
−0.833927 | + | 0.551875i | \(0.813913\pi\) | |||||||
\(810\) | 30.4809 | − | 6.82872i | 1.07099 | − | 0.239937i | ||||
\(811\) | −39.6787 | + | 6.99643i | −1.39331 | + | 0.245678i | −0.819391 | − | 0.573235i | \(-0.805688\pi\) |
−0.573918 | + | 0.818913i | \(0.694577\pi\) | |||||||
\(812\) | −16.6951 | − | 7.32132i | −0.585884 | − | 0.256928i | ||||
\(813\) | −0.0592450 | + | 0.677173i | −0.00207781 | + | 0.0237495i | ||||
\(814\) | 7.11546 | + | 3.21865i | 0.249397 | + | 0.112814i | ||||
\(815\) | −4.87543 | + | 1.48751i | −0.170779 | + | 0.0521050i | ||||
\(816\) | −18.3381 | + | 11.7467i | −0.641961 | + | 0.411218i | ||||
\(817\) | 9.24691 | − | 39.6079i | 0.323508 | − | 1.38570i | ||||
\(818\) | 13.0720 | + | 22.0503i | 0.457052 | + | 0.770972i | ||||
\(819\) | −2.00088 | + | 0.728260i | −0.0699164 | + | 0.0254475i | ||||
\(820\) | 37.8082 | − | 2.17216i | 1.32032 | − | 0.0758551i | ||||
\(821\) | 22.8216 | − | 19.1496i | 0.796479 | − | 0.668325i | −0.150861 | − | 0.988555i | \(-0.548204\pi\) |
0.947340 | + | 0.320230i | \(0.103760\pi\) | |||||||
\(822\) | 8.00533 | − | 48.6754i | 0.279218 | − | 1.69775i | ||||
\(823\) | −15.2466 | + | 21.7744i | −0.531463 | + | 0.759008i | −0.991670 | − | 0.128804i | \(-0.958886\pi\) |
0.460207 | + | 0.887812i | \(0.347775\pi\) | |||||||
\(824\) | −6.06486 | − | 1.40223i | −0.211279 | − | 0.0488490i | ||||
\(825\) | −13.0595 | + | 2.05302i | −0.454672 | + | 0.0714771i | ||||
\(826\) | 26.7982 | − | 39.2266i | 0.932428 | − | 1.36487i | ||||
\(827\) | 6.73479 | − | 3.14049i | 0.234192 | − | 0.109205i | −0.301980 | − | 0.953314i | \(-0.597648\pi\) |
0.536172 | + | 0.844109i | \(0.319870\pi\) | |||||||
\(828\) | −1.85723 | − | 0.452019i | −0.0645431 | − | 0.0157087i | ||||
\(829\) | 20.7120 | − | 11.9581i | 0.719358 | − | 0.415321i | −0.0951585 | − | 0.995462i | \(-0.530336\pi\) |
0.814516 | + | 0.580141i | \(0.197002\pi\) | |||||||
\(830\) | 11.3003 | + | 14.6592i | 0.392240 | + | 0.508827i | ||||
\(831\) | 24.8604 | − | 29.6275i | 0.862398 | − | 1.02777i | ||||
\(832\) | −0.253789 | + | 14.0244i | −0.00879854 | + | 0.486209i | ||||
\(833\) | 11.3952 | + | 16.2741i | 0.394821 | + | 0.563863i | ||||
\(834\) | 39.0578 | − | 3.87133i | 1.35246 | − | 0.134053i | ||||
\(835\) | −0.586976 | + | 11.0783i | −0.0203132 | + | 0.383380i | ||||
\(836\) | −7.57141 | + | 10.1136i | −0.261863 | + | 0.349786i | ||||
\(837\) | 13.8013 | + | 13.8013i | 0.477044 | + | 0.477044i | ||||
\(838\) | 23.4258 | − | 28.5805i | 0.809230 | − | 0.987298i | ||||
\(839\) | −1.03851 | + | 5.88969i | −0.0358534 | + | 0.203335i | −0.997473 | − | 0.0710531i | \(-0.977364\pi\) |
0.961619 | + | 0.274388i | \(0.0884751\pi\) | |||||||
\(840\) | 42.4053 | + | 4.49537i | 1.46312 | + | 0.155105i | ||||
\(841\) | 17.5552 | + | 14.7306i | 0.605353 | + | 0.507951i | ||||
\(842\) | −4.97599 | − | 5.79318i | −0.171484 | − | 0.199646i | ||||
\(843\) | 8.82150 | − | 32.9223i | 0.303828 | − | 1.13390i | ||||
\(844\) | −38.2491 | + | 23.2751i | −1.31659 | + | 0.801162i | ||||
\(845\) | −8.30247 | − | 20.5834i | −0.285614 | − | 0.708091i | ||||
\(846\) | 3.16824 | + | 2.16442i | 0.108926 | + | 0.0744144i | ||||
\(847\) | 8.51264 | + | 31.7696i | 0.292498 | + | 1.09162i | ||||
\(848\) | 16.2885 | + | 51.2169i | 0.559348 | + | 1.75880i | ||||
\(849\) | 4.70849 | − | 0.830233i | 0.161595 | − | 0.0284935i | ||||
\(850\) | 18.3483 | − | 10.4210i | 0.629343 | − | 0.357439i | ||||
\(851\) | −7.12365 | − | 8.48964i | −0.244196 | − | 0.291021i | ||||
\(852\) | −9.74467 | + | 1.07945i | −0.333847 | + | 0.0369815i | ||||
\(853\) | −14.0027 | + | 30.0288i | −0.479442 | + | 1.02817i | 0.506678 | + | 0.862135i | \(0.330873\pi\) |
−0.986120 | + | 0.166032i | \(0.946904\pi\) | |||||||
\(854\) | 13.2437 | − | 51.8080i | 0.453190 | − | 1.77283i | ||||
\(855\) | 1.89048 | − | 2.58549i | 0.0646532 | − | 0.0884218i | ||||
\(856\) | −14.2545 | − | 13.3011i | −0.487210 | − | 0.454623i | ||||
\(857\) | −48.6348 | − | 22.6788i | −1.66133 | − | 0.774693i | −0.999691 | − | 0.0248748i | \(-0.992081\pi\) |
−0.661644 | − | 0.749818i | \(-0.730141\pi\) | |||||||
\(858\) | −6.13434 | + | 2.31315i | −0.209423 | + | 0.0789696i | ||||
\(859\) | 11.8249 | − | 9.92228i | 0.403461 | − | 0.338544i | −0.418369 | − | 0.908277i | \(-0.637398\pi\) |
0.821829 | + | 0.569734i | \(0.192954\pi\) | |||||||
\(860\) | −39.6218 | + | 13.0946i | −1.35109 | + | 0.446521i | ||||
\(861\) | −9.91456 | − | 56.2283i | −0.337887 | − | 1.91625i | ||||
\(862\) | 12.6061 | − | 22.4276i | 0.429366 | − | 0.763888i | ||||
\(863\) | 5.78423 | − | 1.54988i | 0.196898 | − | 0.0527586i | −0.159022 | − | 0.987275i | \(-0.550834\pi\) |
0.355920 | + | 0.934516i | \(0.384168\pi\) | |||||||
\(864\) | −27.5583 | − | 0.816597i | −0.937554 | − | 0.0277812i | ||||
\(865\) | 18.7302 | − | 44.0551i | 0.636845 | − | 1.49792i | ||||
\(866\) | −3.88047 | − | 3.79201i | −0.131864 | − | 0.128858i | ||||
\(867\) | −14.2653 | − | 3.82239i | −0.484476 | − | 0.129815i | ||||
\(868\) | 13.1244 | + | 26.5307i | 0.445472 | + | 0.900509i | ||||
\(869\) | 6.86891 | − | 8.18604i | 0.233012 | − | 0.277693i | ||||
\(870\) | 13.1588 | + | 5.41624i | 0.446124 | + | 0.183628i | ||||
\(871\) | −5.07617 | − | 0.895065i | −0.171999 | − | 0.0303281i | ||||
\(872\) | 33.2506 | − | 13.4217i | 1.12601 | − | 0.454517i | ||||
\(873\) | −2.01755 | + | 2.01755i | −0.0682838 | + | 0.0682838i | ||||
\(874\) | 15.8998 | − | 8.28381i | 0.537818 | − | 0.280204i | ||||
\(875\) | −40.7982 | − | 6.53396i | −1.37923 | − | 0.220888i | ||||
\(876\) | 4.26168 | − | 27.9189i | 0.143989 | − | 0.943293i | ||||
\(877\) | 21.5291 | − | 15.0749i | 0.726987 | − | 0.509042i | −0.150519 | − | 0.988607i | \(-0.548095\pi\) |
0.877506 | + | 0.479565i | \(0.159206\pi\) | |||||||
\(878\) | 15.2602 | − | 43.4803i | 0.515007 | − | 1.46739i | ||||
\(879\) | 38.0574 | + | 31.9339i | 1.28364 | + | 1.07711i | ||||
\(880\) | 12.9046 | + | 1.21774i | 0.435014 | + | 0.0410501i | ||||
\(881\) | 12.2079 | + | 21.1447i | 0.411294 | + | 0.712382i | 0.995032 | − | 0.0995603i | \(-0.0317436\pi\) |
−0.583737 | + | 0.811942i | \(0.698410\pi\) | |||||||
\(882\) | −0.0356681 | − | 3.09371i | −0.00120101 | − | 0.104171i | ||||
\(883\) | 4.72937 | + | 10.1422i | 0.159156 | + | 0.341311i | 0.969674 | − | 0.244403i | \(-0.0785920\pi\) |
−0.810518 | + | 0.585714i | \(0.800814\pi\) | |||||||
\(884\) | 7.85904 | − | 6.90947i | 0.264328 | − | 0.232391i | ||||
\(885\) | −20.2145 | + | 31.0884i | −0.679502 | + | 1.04503i | ||||
\(886\) | 8.03081 | + | 28.6462i | 0.269800 | + | 0.962389i | ||||
\(887\) | 0.599872 | + | 0.420035i | 0.0201417 | + | 0.0141034i | 0.583604 | − | 0.812038i | \(-0.301642\pi\) |
−0.563462 | + | 0.826142i | \(0.690531\pi\) | |||||||
\(888\) | 15.4913 | + | 12.1111i | 0.519854 | + | 0.406422i | ||||
\(889\) | 47.5661 | + | 56.6870i | 1.59531 | + | 1.90122i | ||||
\(890\) | 3.92264 | − | 7.57648i | 0.131487 | − | 0.253964i | ||||
\(891\) | −4.89597 | − | 13.4516i | −0.164021 | − | 0.450645i | ||||
\(892\) | −24.1856 | + | 7.08204i | −0.809795 | + | 0.237124i | ||||
\(893\) | −35.7313 | + | 4.29803i | −1.19570 | + | 0.143828i | ||||
\(894\) | −13.6658 | + | 53.4591i | −0.457051 | + | 1.78794i | ||||
\(895\) | 4.90829 | − | 9.21835i | 0.164066 | − | 0.308136i | ||||
\(896\) | −39.1947 | − | 14.5578i | −1.30940 | − | 0.486343i | ||||
\(897\) | 9.26807 | + | 0.810851i | 0.309452 | + | 0.0270735i | ||||
\(898\) | −0.858519 | + | 5.22012i | −0.0286491 | + | 0.174198i | ||||
\(899\) | 1.71517 | + | 9.72721i | 0.0572041 | + | 0.324421i | ||||
\(900\) | −3.27486 | − | 0.271820i | −0.109162 | − | 0.00906067i | ||||
\(901\) | 20.0478 | − | 34.7238i | 0.667889 | − | 1.15682i | ||||
\(902\) | −3.21051 | − | 17.0555i | −0.106898 | − | 0.567887i | ||||
\(903\) | 26.5885 | + | 57.0193i | 0.884811 | + | 1.89748i | ||||
\(904\) | −15.3692 | + | 4.69345i | −0.511172 | + | 0.156102i | ||||
\(905\) | −7.03137 | − | 2.28910i | −0.233731 | − | 0.0760923i | ||||
\(906\) | 33.8341 | + | 2.56743i | 1.12406 | + | 0.0852972i | ||||
\(907\) | 35.7252 | − | 3.12555i | 1.18624 | − | 0.103782i | 0.523093 | − | 0.852275i | \(-0.324778\pi\) |
0.663143 | + | 0.748493i | \(0.269222\pi\) | |||||||
\(908\) | −36.7525 | − | 24.4913i | −1.21968 | − | 0.812774i | ||||
\(909\) | −5.53737 | − | 0.976388i | −0.183663 | − | 0.0323847i | ||||
\(910\) | −20.4689 | + | 0.939369i | −0.678537 | + | 0.0311398i | ||||
\(911\) | − | 36.9833i | − | 1.22531i | −0.790350 | − | 0.612656i | \(-0.790101\pi\) | ||
0.790350 | − | 0.612656i | \(-0.209899\pi\) | |||||||
\(912\) | −24.5452 | + | 20.2344i | −0.812773 | + | 0.670027i | ||||
\(913\) | 5.99786 | − | 5.99786i | 0.198500 | − | 0.198500i | ||||
\(914\) | −39.2531 | + | 3.89068i | −1.29838 | + | 0.128692i | ||||
\(915\) | −9.41298 | + | 40.6654i | −0.311183 | + | 1.34436i | ||||
\(916\) | 11.1416 | − | 2.23057i | 0.368127 | − | 0.0737000i | ||||
\(917\) | −4.90705 | − | 56.0878i | −0.162045 | − | 1.85218i | ||||
\(918\) | 13.4020 | + | 15.6030i | 0.442333 | + | 0.514976i | ||||
\(919\) | −2.68819 | − | 4.65609i | −0.0886753 | − | 0.153590i | 0.818276 | − | 0.574825i | \(-0.194930\pi\) |
−0.906951 | + | 0.421235i | \(0.861597\pi\) | |||||||
\(920\) | −15.7583 | − | 9.48776i | −0.519536 | − | 0.312802i | ||||
\(921\) | 34.8921 | + | 12.6997i | 1.14973 | + | 0.418469i | ||||
\(922\) | 16.1315 | − | 3.03658i | 0.531263 | − | 0.100004i | ||||
\(923\) | 4.55055 | − | 1.21932i | 0.149783 | − | 0.0401343i | ||||
\(924\) | −0.450551 | − | 19.5369i | −0.0148220 | − | 0.642718i | ||||
\(925\) | −14.3649 | − | 12.5163i | −0.472315 | − | 0.411532i | ||||
\(926\) | 25.5708 | + | 35.6373i | 0.840308 | + | 1.17111i | ||||
\(927\) | 0.0630324 | − | 0.720463i | 0.00207025 | − | 0.0236631i | ||||
\(928\) | −11.1870 | − | 8.33768i | −0.367230 | − | 0.273698i | ||||
\(929\) | −5.34036 | − | 14.6725i | −0.175212 | − | 0.481390i | 0.820738 | − | 0.571305i | \(-0.193563\pi\) |
−0.995949 | + | 0.0899151i | \(0.971340\pi\) | |||||||
\(930\) | −10.7142 | − | 20.4703i | −0.351331 | − | 0.671247i | ||||
\(931\) | 19.3646 | + | 21.6132i | 0.634648 | + | 0.708346i | ||||
\(932\) | 9.47052 | + | 32.3424i | 0.310217 | + | 1.05941i | ||||
\(933\) | −13.0090 | + | 27.8979i | −0.425896 | + | 0.913338i | ||||
\(934\) | −35.0372 | − | 15.8490i | −1.14645 | − | 0.518594i | ||||
\(935\) | −5.81518 | − | 7.72624i | −0.190177 | − | 0.252675i | ||||
\(936\) | −1.61757 | + | 0.198086i | −0.0528718 | + | 0.00647465i | ||||
\(937\) | −31.7236 | + | 45.3060i | −1.03636 | + | 1.48008i | −0.166970 | + | 0.985962i | \(0.553398\pi\) |
−0.869394 | + | 0.494119i | \(0.835491\pi\) | |||||||
\(938\) | 7.52835 | − | 13.3937i | 0.245809 | − | 0.437321i | ||||
\(939\) | −11.7675 | + | 20.3819i | −0.384019 | + | 0.665140i | ||||
\(940\) | 22.8786 | + | 28.9817i | 0.746218 | + | 0.945277i | ||||
\(941\) | 46.7746 | + | 17.0246i | 1.52481 | + | 0.554985i | 0.962344 | − | 0.271835i | \(-0.0876306\pi\) |
0.562466 | + | 0.826821i | \(0.309853\pi\) | |||||||
\(942\) | 33.5832 | − | 0.387189i | 1.09420 | − | 0.0126153i | ||||
\(943\) | −6.37427 | + | 23.7891i | −0.207575 | + | 0.774679i | ||||
\(944\) | 26.7457 | − | 24.6303i | 0.870498 | − | 0.801647i | ||||
\(945\) | −1.38245 | − | 40.2516i | −0.0449710 | − | 1.30938i | ||||
\(946\) | 8.28124 | + | 17.2375i | 0.269246 | + | 0.560440i | ||||
\(947\) | −20.6761 | − | 29.5285i | −0.671883 | − | 0.959548i | −0.999889 | − | 0.0148728i | \(-0.995266\pi\) |
0.328006 | − | 0.944675i | \(-0.393623\pi\) | |||||||
\(948\) | 21.6788 | − | 15.9370i | 0.704096 | − | 0.517609i | ||||
\(949\) | 13.5708i | 0.440526i | ||||||||
\(950\) | 24.7913 | − | 18.3136i | 0.804337 | − | 0.594173i | ||||
\(951\) | − | 63.2525i | − | 2.05110i | ||||||
\(952\) | 11.6757 | + | 28.9250i | 0.378411 | + | 0.937466i | ||||
\(953\) | 6.74982 | + | 9.63975i | 0.218648 | + | 0.312262i | 0.913459 | − | 0.406930i | \(-0.133401\pi\) |
−0.694811 | + | 0.719192i | \(0.744512\pi\) | |||||||
\(954\) | −5.62833 | + | 2.70396i | −0.182224 | + | 0.0875439i | ||||
\(955\) | −0.709067 | − | 20.6453i | −0.0229449 | − | 0.668068i | ||||
\(956\) | 20.7352 | + | 7.00998i | 0.670625 | + | 0.226719i | ||||
\(957\) | 1.68780 | − | 6.29896i | 0.0545589 | − | 0.203617i | ||||
\(958\) | −0.559989 | − | 48.5713i | −0.0180924 | − | 1.56927i | ||||
\(959\) | −66.3942 | − | 24.1655i | −2.14398 | − | 0.780345i | ||||
\(960\) | 30.8457 | + | 10.6630i | 0.995540 | + | 0.344147i | ||||
\(961\) | −7.48127 | + | 12.9579i | −0.241331 | + | 0.417998i | ||||
\(962\) | −8.23667 | − | 4.62966i | −0.265561 | − | 0.149266i | ||||
\(963\) | 1.29923 | − | 1.85549i | 0.0418671 | − | 0.0597924i | ||||
\(964\) | 26.1512 | − | 10.2070i | 0.842272 | − | 0.328745i | ||||
\(965\) | −0.660827 | − | 0.877997i | −0.0212728 | − | 0.0282637i | ||||
\(966\) | −11.4295 | + | 25.2671i | −0.367737 | + | 0.812955i | ||||
\(967\) | −5.15104 | + | 11.0464i | −0.165646 | + | 0.355229i | −0.971556 | − | 0.236808i | \(-0.923899\pi\) |
0.805910 | + | 0.592038i | \(0.201676\pi\) | |||||||
\(968\) | 0.870449 | + | 25.1575i | 0.0279773 | + | 0.808594i | ||||
\(969\) | 23.4926 | + | 3.36064i | 0.754691 | + | 0.107959i | ||||
\(970\) | −24.3265 | + | 12.7325i | −0.781078 | + | 0.408817i | ||||
\(971\) | −2.96300 | − | 8.14078i | −0.0950872 | − | 0.261250i | 0.883026 | − | 0.469325i | \(-0.155503\pi\) |
−0.978113 | + | 0.208075i | \(0.933280\pi\) | |||||||
\(972\) | −0.748726 | − | 6.75906i | −0.0240154 | − | 0.216797i | ||||
\(973\) | 4.89966 | − | 56.0033i | 0.157076 | − | 1.79538i | ||||
\(974\) | −31.0358 | + | 22.2691i | −0.994452 | + | 0.713548i | ||||
\(975\) | 15.9567 | − | 1.09736i | 0.511023 | − | 0.0351438i | ||||
\(976\) | 18.8075 | − | 36.3488i | 0.602014 | − | 1.16350i | ||||
\(977\) | −1.33905 | + | 0.358797i | −0.0428399 | + | 0.0114789i | −0.280175 | − | 0.959949i | \(-0.590393\pi\) |
0.237335 | + | 0.971428i | \(0.423726\pi\) | |||||||
\(978\) | 1.08805 | + | 5.78018i | 0.0347921 | + | 0.184830i | ||||
\(979\) | −3.67407 | − | 1.33725i | −0.117424 | − | 0.0427387i | ||||
\(980\) | 8.56153 | − | 28.5156i | 0.273488 | − | 0.910899i | ||||
\(981\) | 2.08298 | + | 3.60783i | 0.0665045 | + | 0.115189i | ||||
\(982\) | −26.8259 | + | 23.0418i | −0.856050 | + | 0.735294i | ||||
\(983\) | −0.667009 | − | 7.62395i | −0.0212743 | − | 0.243166i | −0.999385 | − | 0.0350789i | \(-0.988832\pi\) |
0.978110 | − | 0.208087i | \(-0.0667238\pi\) | |||||||
\(984\) | 2.30097 | − | 43.6375i | 0.0733522 | − | 1.39111i | ||||
\(985\) | 9.62443 | − | 41.5789i | 0.306660 | − | 1.32481i | ||||
\(986\) | 1.02668 | + | 10.3582i | 0.0326961 | + | 0.329871i | ||||
\(987\) | 39.3635 | − | 39.3635i | 1.25295 | − | 1.25295i | ||||
\(988\) | 10.1921 | − | 11.3913i | 0.324253 | − | 0.362404i | ||||
\(989\) | − | 27.1379i | − | 0.862936i | ||||||
\(990\) | 0.0690388 | + | 1.50436i | 0.00219420 | + | 0.0478117i | ||||
\(991\) | 2.84862 | + | 0.502288i | 0.0904893 | + | 0.0159557i | 0.218709 | − | 0.975790i | \(-0.429815\pi\) |
−0.128220 | + | 0.991746i | \(0.540926\pi\) | |||||||
\(992\) | 5.21257 | + | 22.0460i | 0.165499 | + | 0.699963i | ||||
\(993\) | 41.5381 | − | 3.63411i | 1.31817 | − | 0.115325i | ||||
\(994\) | −1.06256 | + | 14.0026i | −0.0337022 | + | 0.444134i | ||||
\(995\) | −25.5564 | − | 8.32002i | −0.810191 | − | 0.263762i | ||||
\(996\) | 18.2449 | − | 11.1023i | 0.578112 | − | 0.351789i | ||||
\(997\) | 12.6561 | + | 27.1411i | 0.400823 | + | 0.859568i | 0.998334 | + | 0.0577069i | \(0.0183789\pi\) |
−0.597510 | + | 0.801861i | \(0.703843\pi\) | |||||||
\(998\) | 7.75589 | − | 1.45996i | 0.245508 | − | 0.0462142i | ||||
\(999\) | 9.28594 | − | 16.0837i | 0.293794 | − | 0.508867i |
(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 | 380.2.bj.a.347.41 | yes | 672 | |
4.3 | odd | 2 | inner | 380.2.bj.a.347.27 | yes | 672 | |
5.3 | odd | 4 | inner | 380.2.bj.a.43.13 | yes | 672 | |
19.4 | even | 9 | inner | 380.2.bj.a.327.54 | yes | 672 | |
20.3 | even | 4 | inner | 380.2.bj.a.43.54 | yes | 672 | |
76.23 | odd | 18 | inner | 380.2.bj.a.327.13 | yes | 672 | |
95.23 | odd | 36 | inner | 380.2.bj.a.23.27 | ✓ | 672 | |
380.23 | even | 36 | inner | 380.2.bj.a.23.41 | yes | 672 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
380.2.bj.a.23.27 | ✓ | 672 | 95.23 | odd | 36 | inner | |
380.2.bj.a.23.41 | yes | 672 | 380.23 | even | 36 | inner | |
380.2.bj.a.43.13 | yes | 672 | 5.3 | odd | 4 | inner | |
380.2.bj.a.43.54 | yes | 672 | 20.3 | even | 4 | inner | |
380.2.bj.a.327.13 | yes | 672 | 76.23 | odd | 18 | inner | |
380.2.bj.a.327.54 | yes | 672 | 19.4 | even | 9 | inner | |
380.2.bj.a.347.27 | yes | 672 | 4.3 | odd | 2 | inner | |
380.2.bj.a.347.41 | yes | 672 | 1.1 | even | 1 | trivial |