Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(7,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(44))
chi = DirichletCharacter(H, H._module([0, 11, 38]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.w (of order \(44\), degree \(20\), 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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{44})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{44}]$ |
Embedding invariants
Embedding label | 7.6 | ||
Character | \(\chi\) | \(=\) | 690.7 |
Dual form | 690.2.w.b.493.6 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(e\left(\frac{19}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.997452 | + | 0.0713392i | −0.705305 | + | 0.0504444i | ||||
\(3\) | −0.212565 | + | 0.977147i | −0.122725 | + | 0.564156i | ||||
\(4\) | 0.989821 | − | 0.142315i | 0.494911 | − | 0.0711574i | ||||
\(5\) | 1.98312 | + | 1.03307i | 0.886878 | + | 0.462003i | ||||
\(6\) | 0.142315 | − | 0.989821i | 0.0580998 | − | 0.404093i | ||||
\(7\) | −0.653533 | + | 1.19686i | −0.247012 | + | 0.452369i | −0.971540 | − | 0.236877i | \(-0.923876\pi\) |
0.724527 | + | 0.689246i | \(0.242058\pi\) | |||||||
\(8\) | −0.977147 | + | 0.212565i | −0.345474 | + | 0.0751532i | ||||
\(9\) | −0.909632 | − | 0.415415i | −0.303211 | − | 0.138472i | ||||
\(10\) | −2.05177 | − | 0.888964i | −0.648825 | − | 0.281115i | ||||
\(11\) | −1.60153 | + | 1.38774i | −0.482881 | + | 0.418418i | −0.861984 | − | 0.506936i | \(-0.830778\pi\) |
0.379103 | + | 0.925354i | \(0.376233\pi\) | |||||||
\(12\) | −0.0713392 | + | 0.997452i | −0.0205938 | + | 0.287940i | ||||
\(13\) | −4.94879 | + | 2.70224i | −1.37255 | + | 0.749467i | −0.985028 | − | 0.172395i | \(-0.944849\pi\) |
−0.387519 | + | 0.921862i | \(0.626668\pi\) | |||||||
\(14\) | 0.566485 | − | 1.24043i | 0.151400 | − | 0.331519i | ||||
\(15\) | −1.43100 | + | 1.71821i | −0.369484 | + | 0.443639i | ||||
\(16\) | 0.959493 | − | 0.281733i | 0.239873 | − | 0.0704331i | ||||
\(17\) | −1.26500 | − | 1.68984i | −0.306808 | − | 0.409847i | 0.620465 | − | 0.784234i | \(-0.286944\pi\) |
−0.927272 | + | 0.374387i | \(0.877853\pi\) | |||||||
\(18\) | 0.936950 | + | 0.349464i | 0.220841 | + | 0.0823695i | ||||
\(19\) | 0.299333 | + | 2.08191i | 0.0686717 | + | 0.477622i | 0.994917 | + | 0.100700i | \(0.0321083\pi\) |
−0.926245 | + | 0.376922i | \(0.876983\pi\) | |||||||
\(20\) | 2.10996 | + | 0.740327i | 0.471801 | + | 0.165542i | ||||
\(21\) | −1.03059 | − | 0.893008i | −0.224892 | − | 0.194870i | ||||
\(22\) | 1.49845 | − | 1.49845i | 0.319471 | − | 0.319471i | ||||
\(23\) | −4.28351 | − | 2.15673i | −0.893175 | − | 0.449710i | ||||
\(24\) | − | 1.00000i | − | 0.204124i | ||||||
\(25\) | 2.86553 | + | 4.09740i | 0.573107 | + | 0.819481i | ||||
\(26\) | 4.74340 | − | 3.04840i | 0.930258 | − | 0.597840i | ||||
\(27\) | 0.599278 | − | 0.800541i | 0.115331 | − | 0.154064i | ||||
\(28\) | −0.476551 | + | 1.27768i | −0.0900596 | + | 0.241459i | ||||
\(29\) | 5.11643 | + | 0.735631i | 0.950097 | + | 0.136603i | 0.599902 | − | 0.800073i | \(-0.295206\pi\) |
0.350195 | + | 0.936677i | \(0.386115\pi\) | |||||||
\(30\) | 1.30478 | − | 1.81591i | 0.238220 | − | 0.331539i | ||||
\(31\) | −0.875710 | − | 0.562784i | −0.157282 | − | 0.101079i | 0.459632 | − | 0.888109i | \(-0.347981\pi\) |
−0.616914 | + | 0.787030i | \(0.711618\pi\) | |||||||
\(32\) | −0.936950 | + | 0.349464i | −0.165631 | + | 0.0617771i | ||||
\(33\) | −1.01559 | − | 1.85992i | −0.176792 | − | 0.323770i | ||||
\(34\) | 1.38233 | + | 1.59529i | 0.237067 | + | 0.273590i | ||||
\(35\) | −2.53247 | + | 1.69837i | −0.428066 | + | 0.287076i | ||||
\(36\) | −0.959493 | − | 0.281733i | −0.159915 | − | 0.0469554i | ||||
\(37\) | 3.05803 | + | 8.19889i | 0.502737 | + | 1.34789i | 0.902270 | + | 0.431171i | \(0.141899\pi\) |
−0.399533 | + | 0.916719i | \(0.630828\pi\) | |||||||
\(38\) | −0.447092 | − | 2.05525i | −0.0725278 | − | 0.333405i | ||||
\(39\) | −1.58855 | − | 5.41009i | −0.254371 | − | 0.866308i | ||||
\(40\) | −2.15739 | − | 0.587919i | −0.341114 | − | 0.0929581i | ||||
\(41\) | −3.31299 | − | 7.25445i | −0.517403 | − | 1.13295i | −0.970414 | − | 0.241449i | \(-0.922377\pi\) |
0.453011 | − | 0.891505i | \(-0.350350\pi\) | |||||||
\(42\) | 1.09167 | + | 0.817212i | 0.168448 | + | 0.126098i | ||||
\(43\) | −6.00468 | − | 1.30624i | −0.915706 | − | 0.199200i | −0.270066 | − | 0.962842i | \(-0.587046\pi\) |
−0.645640 | + | 0.763642i | \(0.723409\pi\) | |||||||
\(44\) | −1.38774 | + | 1.60153i | −0.209209 | + | 0.241440i | ||||
\(45\) | −1.37476 | − | 1.76353i | −0.204937 | − | 0.262892i | ||||
\(46\) | 4.42646 | + | 1.84566i | 0.652646 | + | 0.272127i | ||||
\(47\) | −1.39772 | − | 1.39772i | −0.203879 | − | 0.203879i | 0.597781 | − | 0.801660i | \(-0.296049\pi\) |
−0.801660 | + | 0.597781i | \(0.796049\pi\) | |||||||
\(48\) | 0.0713392 | + | 0.997452i | 0.0102969 | + | 0.143970i | ||||
\(49\) | 2.77913 | + | 4.32440i | 0.397018 | + | 0.617772i | ||||
\(50\) | −3.15054 | − | 3.88254i | −0.445553 | − | 0.549074i | ||||
\(51\) | 1.92012 | − | 0.876889i | 0.268870 | − | 0.122789i | ||||
\(52\) | −4.51385 | + | 3.37902i | −0.625958 | + | 0.468586i | ||||
\(53\) | −2.68667 | − | 1.46703i | −0.369042 | − | 0.201512i | 0.284017 | − | 0.958819i | \(-0.408333\pi\) |
−0.653059 | + | 0.757307i | \(0.726515\pi\) | |||||||
\(54\) | −0.540641 | + | 0.841254i | −0.0735719 | + | 0.114480i | ||||
\(55\) | −4.60966 | + | 1.09755i | −0.621567 | + | 0.147994i | ||||
\(56\) | 0.384188 | − | 1.30842i | 0.0513392 | − | 0.174845i | ||||
\(57\) | −2.09796 | − | 0.150049i | −0.277881 | − | 0.0198744i | ||||
\(58\) | −5.15587 | − | 0.368755i | −0.676999 | − | 0.0484199i | ||||
\(59\) | −0.317333 | + | 1.08074i | −0.0413132 | + | 0.140700i | −0.977567 | − | 0.210624i | \(-0.932450\pi\) |
0.936254 | + | 0.351324i | \(0.114269\pi\) | |||||||
\(60\) | −1.17191 | + | 1.90437i | −0.151293 | + | 0.245853i | ||||
\(61\) | 0.435960 | − | 0.678367i | 0.0558189 | − | 0.0868559i | −0.812222 | − | 0.583348i | \(-0.801742\pi\) |
0.868041 | + | 0.496492i | \(0.165379\pi\) | |||||||
\(62\) | 0.913627 | + | 0.498878i | 0.116031 | + | 0.0633576i | ||||
\(63\) | 1.09167 | − | 0.817212i | 0.137537 | − | 0.102959i | ||||
\(64\) | 0.909632 | − | 0.415415i | 0.113704 | − | 0.0519269i | ||||
\(65\) | −12.6056 | + | 0.246428i | −1.56354 | + | 0.0305657i | ||||
\(66\) | 1.14569 | + | 1.78273i | 0.141025 | + | 0.219439i | ||||
\(67\) | 1.14642 | + | 16.0291i | 0.140058 | + | 1.95826i | 0.260322 | + | 0.965522i | \(0.416171\pi\) |
−0.120265 | + | 0.992742i | \(0.538374\pi\) | |||||||
\(68\) | −1.49261 | − | 1.49261i | −0.181006 | − | 0.181006i | ||||
\(69\) | 3.01797 | − | 3.72718i | 0.363321 | − | 0.448699i | ||||
\(70\) | 2.40486 | − | 1.87470i | 0.287436 | − | 0.224070i | ||||
\(71\) | −7.09421 | + | 8.18716i | −0.841928 | + | 0.971637i | −0.999875 | − | 0.0158106i | \(-0.994967\pi\) |
0.157947 | + | 0.987448i | \(0.449513\pi\) | |||||||
\(72\) | 0.977147 | + | 0.212565i | 0.115158 | + | 0.0250511i | ||||
\(73\) | 0.494176 | + | 0.369936i | 0.0578389 | + | 0.0432977i | 0.627806 | − | 0.778370i | \(-0.283953\pi\) |
−0.569967 | + | 0.821668i | \(0.693044\pi\) | |||||||
\(74\) | −3.63514 | − | 7.95985i | −0.422576 | − | 0.925313i | ||||
\(75\) | −4.61288 | + | 1.92908i | −0.532649 | + | 0.222751i | ||||
\(76\) | 0.592572 | + | 2.01812i | 0.0679727 | + | 0.231494i | ||||
\(77\) | −0.614267 | − | 2.82374i | −0.0700022 | − | 0.321795i | ||||
\(78\) | 1.97045 | + | 5.28298i | 0.223110 | + | 0.598180i | ||||
\(79\) | −13.0887 | − | 3.84319i | −1.47259 | − | 0.432392i | −0.555652 | − | 0.831415i | \(-0.687531\pi\) |
−0.916941 | + | 0.399023i | \(0.869349\pi\) | |||||||
\(80\) | 2.19384 | + | 0.432514i | 0.245279 | + | 0.0483565i | ||||
\(81\) | 0.654861 | + | 0.755750i | 0.0727623 | + | 0.0839722i | ||||
\(82\) | 3.82208 | + | 6.99962i | 0.422078 | + | 0.772978i | ||||
\(83\) | −1.39625 | + | 0.520776i | −0.153259 | + | 0.0571626i | −0.424923 | − | 0.905230i | \(-0.639699\pi\) |
0.271664 | + | 0.962392i | \(0.412426\pi\) | |||||||
\(84\) | −1.14718 | − | 0.737251i | −0.125168 | − | 0.0804407i | ||||
\(85\) | −0.762922 | − | 4.65799i | −0.0827505 | − | 0.505230i | ||||
\(86\) | 6.08257 | + | 0.874542i | 0.655900 | + | 0.0943042i | ||||
\(87\) | −1.80640 | + | 4.84313i | −0.193666 | + | 0.519238i | ||||
\(88\) | 1.26995 | − | 1.69645i | 0.135377 | − | 0.180843i | ||||
\(89\) | 14.7728 | − | 9.49392i | 1.56592 | − | 1.00635i | 0.585207 | − | 0.810884i | \(-0.301013\pi\) |
0.980710 | − | 0.195470i | \(-0.0626233\pi\) | |||||||
\(90\) | 1.49706 | + | 1.66096i | 0.157804 | + | 0.175081i | ||||
\(91\) | − | 7.68899i | − | 0.806025i | ||||||
\(92\) | −4.54685 | − | 1.52517i | −0.474042 | − | 0.159010i | ||||
\(93\) | 0.736068 | − | 0.736068i | 0.0763267 | − | 0.0763267i | ||||
\(94\) | 1.49388 | + | 1.29445i | 0.154082 | + | 0.133512i | ||||
\(95\) | −1.55714 | + | 4.43790i | −0.159759 | + | 0.455319i | ||||
\(96\) | −0.142315 | − | 0.989821i | −0.0145249 | − | 0.101023i | ||||
\(97\) | 10.5759 | + | 3.94462i | 1.07382 | + | 0.400516i | 0.823307 | − | 0.567597i | \(-0.192127\pi\) |
0.250517 | + | 0.968112i | \(0.419399\pi\) | |||||||
\(98\) | −3.08054 | − | 4.11513i | −0.311182 | − | 0.415690i | ||||
\(99\) | 2.03329 | − | 0.597029i | 0.204354 | − | 0.0600037i | ||||
\(100\) | 3.41949 | + | 3.64789i | 0.341949 | + | 0.364789i | ||||
\(101\) | −2.33578 | + | 5.11464i | −0.232418 | + | 0.508925i | −0.989524 | − | 0.144367i | \(-0.953885\pi\) |
0.757106 | + | 0.653292i | \(0.226613\pi\) | |||||||
\(102\) | −1.85267 | + | 1.01163i | −0.183442 | + | 0.100167i | ||||
\(103\) | −1.15802 | + | 16.1912i | −0.114103 | + | 1.59537i | 0.541788 | + | 0.840515i | \(0.317748\pi\) |
−0.655891 | + | 0.754855i | \(0.727707\pi\) | |||||||
\(104\) | 4.26129 | − | 3.69243i | 0.417854 | − | 0.362072i | ||||
\(105\) | −1.12124 | − | 2.83561i | −0.109422 | − | 0.276727i | ||||
\(106\) | 2.78448 | + | 1.27163i | 0.270453 | + | 0.123512i | ||||
\(107\) | −0.888161 | + | 0.193208i | −0.0858617 | + | 0.0186781i | −0.255291 | − | 0.966864i | \(-0.582171\pi\) |
0.169429 | + | 0.985542i | \(0.445808\pi\) | |||||||
\(108\) | 0.479249 | − | 0.877679i | 0.0461158 | − | 0.0844547i | ||||
\(109\) | 2.27156 | − | 15.7991i | 0.217576 | − | 1.51328i | −0.529369 | − | 0.848392i | \(-0.677571\pi\) |
0.746945 | − | 0.664886i | \(-0.231520\pi\) | |||||||
\(110\) | 4.51962 | − | 1.42361i | 0.430929 | − | 0.135736i | ||||
\(111\) | −8.66155 | + | 1.24534i | −0.822118 | + | 0.118203i | ||||
\(112\) | −0.289867 | + | 1.33250i | −0.0273899 | + | 0.125909i | ||||
\(113\) | −0.974393 | + | 0.0696900i | −0.0916632 | + | 0.00655588i | −0.117095 | − | 0.993121i | \(-0.537358\pi\) |
0.0254322 | + | 0.999677i | \(0.491904\pi\) | |||||||
\(114\) | 2.10331 | 0.196993 | ||||||||
\(115\) | −6.26667 | − | 8.70223i | −0.584370 | − | 0.811487i | ||||
\(116\) | 5.16904 | 0.479934 | ||||||||
\(117\) | 5.62413 | − | 0.402245i | 0.519951 | − | 0.0371876i | ||||
\(118\) | 0.239425 | − | 1.10062i | 0.0220409 | − | 0.101320i | ||||
\(119\) | 2.84922 | − | 0.409656i | 0.261187 | − | 0.0375531i | ||||
\(120\) | 1.03307 | − | 1.98312i | 0.0943060 | − | 0.181033i | ||||
\(121\) | −0.926366 | + | 6.44302i | −0.0842151 | + | 0.585729i | ||||
\(122\) | −0.386455 | + | 0.707739i | −0.0349880 | + | 0.0640757i | ||||
\(123\) | 7.79289 | − | 1.69524i | 0.702661 | − | 0.152855i | ||||
\(124\) | −0.946889 | − | 0.432430i | −0.0850331 | − | 0.0388333i | ||||
\(125\) | 1.44979 | + | 11.0859i | 0.129673 | + | 0.991557i | ||||
\(126\) | −1.03059 | + | 0.893008i | −0.0918119 | + | 0.0795555i | ||||
\(127\) | 0.944260 | − | 13.2025i | 0.0837895 | − | 1.17153i | −0.765440 | − | 0.643507i | \(-0.777479\pi\) |
0.849230 | − | 0.528023i | \(-0.177067\pi\) | |||||||
\(128\) | −0.877679 | + | 0.479249i | −0.0775766 | + | 0.0423600i | ||||
\(129\) | 2.55277 | − | 5.58980i | 0.224759 | − | 0.492154i | ||||
\(130\) | 12.5559 | − | 1.14508i | 1.10123 | − | 0.100430i | ||||
\(131\) | 11.4494 | − | 3.36186i | 1.00034 | − | 0.293727i | 0.259745 | − | 0.965677i | \(-0.416361\pi\) |
0.740596 | + | 0.671950i | \(0.234543\pi\) | |||||||
\(132\) | −1.26995 | − | 1.69645i | −0.110535 | − | 0.147657i | ||||
\(133\) | −2.68737 | − | 1.00234i | −0.233024 | − | 0.0869136i | ||||
\(134\) | −2.28700 | − | 15.9065i | −0.197567 | − | 1.37411i | ||||
\(135\) | 2.01545 | − | 0.968474i | 0.173463 | − | 0.0833530i | ||||
\(136\) | 1.59529 | + | 1.38233i | 0.136795 | + | 0.118534i | ||||
\(137\) | 3.33262 | − | 3.33262i | 0.284725 | − | 0.284725i | −0.550265 | − | 0.834990i | \(-0.685473\pi\) |
0.834990 | + | 0.550265i | \(0.185473\pi\) | |||||||
\(138\) | −2.74439 | + | 3.93298i | −0.233618 | + | 0.334797i | ||||
\(139\) | 18.7352i | 1.58910i | 0.607202 | + | 0.794548i | \(0.292292\pi\) | ||||
−0.607202 | + | 0.794548i | \(0.707708\pi\) | |||||||
\(140\) | −2.26499 | + | 2.04149i | −0.191427 | + | 0.172537i | ||||
\(141\) | 1.66289 | − | 1.06867i | 0.140041 | − | 0.0899986i | ||||
\(142\) | 6.49207 | − | 8.67239i | 0.544803 | − | 0.727771i | ||||
\(143\) | 4.17565 | − | 11.1953i | 0.349185 | − | 0.936202i | ||||
\(144\) | −0.989821 | − | 0.142315i | −0.0824851 | − | 0.0118596i | ||||
\(145\) | 9.38654 | + | 6.74447i | 0.779509 | + | 0.560098i | ||||
\(146\) | −0.519308 | − | 0.333739i | −0.0429782 | − | 0.0276204i | ||||
\(147\) | −4.81632 | + | 1.79640i | −0.397244 | + | 0.148164i | ||||
\(148\) | 4.19373 | + | 7.68024i | 0.344722 | + | 0.631312i | ||||
\(149\) | 2.61159 | + | 3.01394i | 0.213950 | + | 0.246912i | 0.852573 | − | 0.522608i | \(-0.175041\pi\) |
−0.638623 | + | 0.769520i | \(0.720496\pi\) | |||||||
\(150\) | 4.46351 | − | 2.25324i | 0.364444 | − | 0.183977i | ||||
\(151\) | 23.1009 | + | 6.78303i | 1.87992 | + | 0.551995i | 0.996517 | + | 0.0833858i | \(0.0265734\pi\) |
0.883405 | + | 0.468609i | \(0.155245\pi\) | |||||||
\(152\) | −0.735033 | − | 1.97070i | −0.0596191 | − | 0.159845i | ||||
\(153\) | 0.448699 | + | 2.06263i | 0.0362751 | + | 0.166754i | ||||
\(154\) | 0.814145 | + | 2.77272i | 0.0656057 | + | 0.223432i | ||||
\(155\) | −1.15524 | − | 2.02074i | −0.0927913 | − | 0.162310i | ||||
\(156\) | −2.34231 | − | 5.12895i | −0.187535 | − | 0.410645i | ||||
\(157\) | 4.62531 | + | 3.46246i | 0.369140 | + | 0.276334i | 0.767702 | − | 0.640807i | \(-0.221400\pi\) |
−0.398563 | + | 0.917141i | \(0.630491\pi\) | |||||||
\(158\) | 13.3295 | + | 2.89966i | 1.06044 | + | 0.230684i | ||||
\(159\) | 2.00460 | − | 2.31343i | 0.158975 | − | 0.183467i | ||||
\(160\) | −2.21911 | − | 0.274905i | −0.175436 | − | 0.0217332i | ||||
\(161\) | 5.38072 | − | 3.71726i | 0.424060 | − | 0.292961i | ||||
\(162\) | −0.707107 | − | 0.707107i | −0.0555556 | − | 0.0555556i | ||||
\(163\) | −0.731963 | − | 10.2342i | −0.0573317 | − | 0.801602i | −0.942049 | − | 0.335475i | \(-0.891103\pi\) |
0.884717 | − | 0.466128i | \(-0.154351\pi\) | |||||||
\(164\) | −4.31169 | − | 6.70912i | −0.336686 | − | 0.523894i | ||||
\(165\) | −0.0926160 | − | 4.73762i | −0.00721014 | − | 0.368823i | ||||
\(166\) | 1.35554 | − | 0.619057i | 0.105211 | − | 0.0480481i | ||||
\(167\) | 0.805932 | − | 0.603313i | 0.0623649 | − | 0.0466858i | −0.567640 | − | 0.823277i | \(-0.692144\pi\) |
0.630005 | + | 0.776591i | \(0.283053\pi\) | |||||||
\(168\) | 1.19686 | + | 0.653533i | 0.0923395 | + | 0.0504212i | ||||
\(169\) | 10.1600 | − | 15.8093i | 0.781542 | − | 1.21610i | ||||
\(170\) | 1.09328 | + | 4.59170i | 0.0838504 | + | 0.352167i | ||||
\(171\) | 0.592572 | − | 2.01812i | 0.0453151 | − | 0.154329i | ||||
\(172\) | −6.12946 | − | 0.438388i | −0.467367 | − | 0.0334268i | ||||
\(173\) | 12.8275 | + | 0.917444i | 0.975260 | + | 0.0697519i | 0.549863 | − | 0.835255i | \(-0.314680\pi\) |
0.425397 | + | 0.905007i | \(0.360135\pi\) | |||||||
\(174\) | 1.45629 | − | 4.95966i | 0.110401 | − | 0.375991i | ||||
\(175\) | −6.77673 | + | 0.751843i | −0.512272 | + | 0.0568340i | ||||
\(176\) | −1.14569 | + | 1.78273i | −0.0863596 | + | 0.134378i | ||||
\(177\) | −0.988584 | − | 0.539808i | −0.0743065 | − | 0.0405744i | ||||
\(178\) | −14.0579 | + | 10.5236i | −1.05368 | + | 0.788778i | ||||
\(179\) | 6.56520 | − | 2.99823i | 0.490706 | − | 0.224098i | −0.154665 | − | 0.987967i | \(-0.549430\pi\) |
0.645372 | + | 0.763869i | \(0.276703\pi\) | |||||||
\(180\) | −1.61174 | − | 1.54993i | −0.120132 | − | 0.115525i | ||||
\(181\) | −5.43211 | − | 8.45252i | −0.403765 | − | 0.628271i | 0.578519 | − | 0.815669i | \(-0.303631\pi\) |
−0.982284 | + | 0.187398i | \(0.939995\pi\) | |||||||
\(182\) | 0.548526 | + | 7.66940i | 0.0406595 | + | 0.568494i | ||||
\(183\) | 0.570194 | + | 0.570194i | 0.0421499 | + | 0.0421499i | ||||
\(184\) | 4.64407 | + | 1.19692i | 0.342365 | + | 0.0882380i | ||||
\(185\) | −2.40559 | + | 19.4185i | −0.176863 | + | 1.42768i | ||||
\(186\) | −0.681683 | + | 0.786704i | −0.0499834 | + | 0.0576839i | ||||
\(187\) | 4.37100 | + | 0.950852i | 0.319639 | + | 0.0695332i | ||||
\(188\) | −1.58241 | − | 1.18458i | −0.115409 | − | 0.0863944i | ||||
\(189\) | 0.566485 | + | 1.24043i | 0.0412057 | + | 0.0902280i | ||||
\(190\) | 1.23658 | − | 4.53768i | 0.0897108 | − | 0.329198i | ||||
\(191\) | 3.02438 | + | 10.3001i | 0.218837 | + | 0.745290i | 0.993592 | + | 0.113028i | \(0.0360550\pi\) |
−0.774755 | + | 0.632262i | \(0.782127\pi\) | |||||||
\(192\) | 0.212565 | + | 0.977147i | 0.0153406 | + | 0.0705195i | ||||
\(193\) | −0.622100 | − | 1.66791i | −0.0447797 | − | 0.120059i | 0.912635 | − | 0.408776i | \(-0.134044\pi\) |
−0.957415 | + | 0.288717i | \(0.906771\pi\) | |||||||
\(194\) | −10.8304 | − | 3.18009i | −0.777577 | − | 0.228317i | ||||
\(195\) | 2.43873 | − | 12.3699i | 0.174641 | − | 0.885830i | ||||
\(196\) | 3.36626 | + | 3.88488i | 0.240447 | + | 0.277491i | ||||
\(197\) | 9.93209 | + | 18.1893i | 0.707632 | + | 1.29593i | 0.945813 | + | 0.324711i | \(0.105267\pi\) |
−0.238181 | + | 0.971221i | \(0.576551\pi\) | |||||||
\(198\) | −1.98552 | + | 0.740561i | −0.141105 | + | 0.0526294i | ||||
\(199\) | −5.08030 | − | 3.26491i | −0.360133 | − | 0.231443i | 0.348044 | − | 0.937478i | \(-0.386846\pi\) |
−0.708177 | + | 0.706035i | \(0.750482\pi\) | |||||||
\(200\) | −3.67101 | − | 3.39465i | −0.259580 | − | 0.240038i | ||||
\(201\) | −15.9065 | − | 2.28700i | −1.12195 | − | 0.161313i | ||||
\(202\) | 1.96495 | − | 5.26824i | 0.138253 | − | 0.370672i | ||||
\(203\) | −4.22420 | + | 5.64287i | −0.296481 | + | 0.396052i | ||||
\(204\) | 1.77578 | − | 1.14122i | 0.124329 | − | 0.0799017i | ||||
\(205\) | 0.924283 | − | 17.8090i | 0.0645547 | − | 1.24383i | ||||
\(206\) | − | 16.2326i | − | 1.13098i | ||||||
\(207\) | 3.00048 | + | 3.74127i | 0.208548 | + | 0.260036i | ||||
\(208\) | −3.98702 | + | 3.98702i | −0.276450 | + | 0.276450i | ||||
\(209\) | −3.36853 | − | 2.91885i | −0.233006 | − | 0.201901i | ||||
\(210\) | 1.32067 | + | 2.74840i | 0.0911349 | + | 0.189657i | ||||
\(211\) | 1.36152 | + | 9.46958i | 0.0937309 | + | 0.651913i | 0.981477 | + | 0.191580i | \(0.0613610\pi\) |
−0.887746 | + | 0.460333i | \(0.847730\pi\) | |||||||
\(212\) | −2.86810 | − | 1.06975i | −0.196982 | − | 0.0734705i | ||||
\(213\) | −6.49207 | − | 8.67239i | −0.444830 | − | 0.594223i | ||||
\(214\) | 0.872114 | − | 0.256076i | 0.0596165 | − | 0.0175050i | ||||
\(215\) | −10.5586 | − | 8.79369i | −0.720089 | − | 0.599725i | ||||
\(216\) | −0.415415 | + | 0.909632i | −0.0282654 | + | 0.0618926i | ||||
\(217\) | 1.24588 | − | 0.680301i | 0.0845757 | − | 0.0461818i | ||||
\(218\) | −1.13868 | + | 15.9209i | −0.0771214 | + | 1.07830i | ||||
\(219\) | −0.466526 | + | 0.404247i | −0.0315249 | + | 0.0273165i | ||||
\(220\) | −4.40655 | + | 1.74241i | −0.297089 | + | 0.117473i | ||||
\(221\) | 10.8266 | + | 4.94433i | 0.728274 | + | 0.332592i | ||||
\(222\) | 8.55064 | − | 1.86008i | 0.573882 | − | 0.124840i | ||||
\(223\) | 12.6411 | − | 23.1505i | 0.846512 | − | 1.55027i | 0.0115693 | − | 0.999933i | \(-0.496317\pi\) |
0.834942 | − | 0.550337i | \(-0.185501\pi\) | |||||||
\(224\) | 0.194069 | − | 1.34978i | 0.0129668 | − | 0.0901860i | ||||
\(225\) | −0.904457 | − | 4.91752i | −0.0602972 | − | 0.327834i | ||||
\(226\) | 0.966939 | − | 0.139025i | 0.0643198 | − | 0.00924779i | ||||
\(227\) | −0.369312 | + | 1.69770i | −0.0245121 | + | 0.112680i | −0.987777 | − | 0.155871i | \(-0.950181\pi\) |
0.963265 | + | 0.268552i | \(0.0865451\pi\) | |||||||
\(228\) | −2.09796 | + | 0.150049i | −0.138940 | + | 0.00993722i | ||||
\(229\) | −0.510875 | −0.0337596 | −0.0168798 | − | 0.999858i | \(-0.505373\pi\) | ||||
−0.0168798 | + | 0.999858i | \(0.505373\pi\) | |||||||
\(230\) | 6.87151 | + | 8.23300i | 0.453094 | + | 0.542868i | ||||
\(231\) | 2.88978 | 0.190134 | ||||||||
\(232\) | −5.15587 | + | 0.368755i | −0.338500 | + | 0.0242100i | ||||
\(233\) | 3.42515 | − | 15.7452i | 0.224389 | − | 1.03150i | −0.717756 | − | 0.696294i | \(-0.754831\pi\) |
0.942145 | − | 0.335205i | \(-0.108806\pi\) | |||||||
\(234\) | −5.58110 | + | 0.802441i | −0.364848 | + | 0.0524572i | ||||
\(235\) | −1.32791 | − | 4.21580i | −0.0866232 | − | 0.275009i | ||||
\(236\) | −0.160298 | + | 1.11490i | −0.0104345 | + | 0.0725736i | ||||
\(237\) | 6.53756 | − | 11.9726i | 0.424660 | − | 0.777707i | ||||
\(238\) | −2.81273 | + | 0.611873i | −0.182322 | + | 0.0396618i | ||||
\(239\) | −9.76023 | − | 4.45735i | −0.631336 | − | 0.288322i | 0.0739306 | − | 0.997263i | \(-0.476446\pi\) |
−0.705267 | + | 0.708942i | \(0.749173\pi\) | |||||||
\(240\) | −0.888964 | + | 2.05177i | −0.0573824 | + | 0.132441i | ||||
\(241\) | −13.9160 | + | 12.0583i | −0.896407 | + | 0.776741i | −0.975471 | − | 0.220128i | \(-0.929352\pi\) |
0.0790638 | + | 0.996870i | \(0.474807\pi\) | |||||||
\(242\) | 0.464366 | − | 6.49269i | 0.0298506 | − | 0.417366i | ||||
\(243\) | −0.877679 | + | 0.479249i | −0.0563031 | + | 0.0307438i | ||||
\(244\) | 0.334981 | − | 0.733505i | 0.0214449 | − | 0.0469579i | ||||
\(245\) | 1.04393 | + | 11.4468i | 0.0666942 | + | 0.731312i | ||||
\(246\) | −7.65209 | + | 2.24686i | −0.487880 | + | 0.143254i | ||||
\(247\) | −7.10715 | − | 9.49404i | −0.452217 | − | 0.604091i | ||||
\(248\) | 0.975325 | + | 0.363778i | 0.0619332 | + | 0.0230999i | ||||
\(249\) | −0.212079 | − | 1.47504i | −0.0134400 | − | 0.0934771i | ||||
\(250\) | −2.23696 | − | 10.9543i | −0.141478 | − | 0.692809i | ||||
\(251\) | 7.38404 | + | 6.39831i | 0.466076 | + | 0.403858i | 0.855989 | − | 0.516994i | \(-0.172949\pi\) |
−0.389912 | + | 0.920852i | \(0.627495\pi\) | |||||||
\(252\) | 0.964254 | − | 0.964254i | 0.0607423 | − | 0.0607423i | ||||
\(253\) | 9.85317 | − | 2.49031i | 0.619464 | − | 0.156564i | ||||
\(254\) | 13.2362i | 0.830513i | ||||||||
\(255\) | 4.71371 | + | 0.244641i | 0.295184 | + | 0.0153200i | ||||
\(256\) | 0.841254 | − | 0.540641i | 0.0525783 | − | 0.0337901i | ||||
\(257\) | −14.3339 | + | 19.1479i | −0.894126 | + | 1.19441i | 0.0860518 | + | 0.996291i | \(0.472575\pi\) |
−0.980177 | + | 0.198121i | \(0.936516\pi\) | |||||||
\(258\) | −2.14750 | + | 5.75767i | −0.133697 | + | 0.358457i | ||||
\(259\) | −11.8114 | − | 1.69823i | −0.733926 | − | 0.105523i | ||||
\(260\) | −12.4423 | + | 2.03789i | −0.771637 | + | 0.126385i | ||||
\(261\) | −4.34848 | − | 2.79460i | −0.269164 | − | 0.172981i | ||||
\(262\) | −11.1804 | + | 4.17008i | −0.690729 | + | 0.257629i | ||||
\(263\) | 4.09008 | + | 7.49042i | 0.252205 | + | 0.461879i | 0.972854 | − | 0.231422i | \(-0.0743376\pi\) |
−0.720649 | + | 0.693301i | \(0.756156\pi\) | |||||||
\(264\) | 1.38774 | + | 1.60153i | 0.0854093 | + | 0.0985676i | ||||
\(265\) | −3.81244 | − | 5.68482i | −0.234196 | − | 0.349216i | ||||
\(266\) | 2.75203 | + | 0.808068i | 0.168738 | + | 0.0495458i | ||||
\(267\) | 6.13677 | + | 16.4533i | 0.375564 | + | 1.00693i | ||||
\(268\) | 3.41593 | + | 15.7028i | 0.208661 | + | 0.959200i | ||||
\(269\) | 7.59924 | + | 25.8806i | 0.463334 | + | 1.57797i | 0.777679 | + | 0.628662i | \(0.216397\pi\) |
−0.314345 | + | 0.949309i | \(0.601785\pi\) | |||||||
\(270\) | −1.94123 | + | 1.10979i | −0.118139 | + | 0.0675395i | ||||
\(271\) | 2.14310 | + | 4.69272i | 0.130184 | + | 0.285063i | 0.963488 | − | 0.267752i | \(-0.0862809\pi\) |
−0.833304 | + | 0.552815i | \(0.813554\pi\) | |||||||
\(272\) | −1.68984 | − | 1.26500i | −0.102462 | − | 0.0767019i | ||||
\(273\) | 7.51328 | + | 1.63441i | 0.454724 | + | 0.0989192i | ||||
\(274\) | −3.08638 | + | 3.56187i | −0.186455 | + | 0.215180i | ||||
\(275\) | −10.2754 | − | 2.58553i | −0.619628 | − | 0.155913i | ||||
\(276\) | 2.45682 | − | 4.11874i | 0.147883 | − | 0.247919i | ||||
\(277\) | 4.40279 | + | 4.40279i | 0.264538 | + | 0.264538i | 0.826895 | − | 0.562357i | \(-0.190105\pi\) |
−0.562357 | + | 0.826895i | \(0.690105\pi\) | |||||||
\(278\) | −1.33655 | − | 18.6874i | −0.0801610 | − | 1.12080i | ||||
\(279\) | 0.562784 | + | 0.875710i | 0.0336930 | + | 0.0524274i | ||||
\(280\) | 2.11358 | − | 2.19787i | 0.126311 | − | 0.131348i | ||||
\(281\) | 7.19335 | − | 3.28509i | 0.429120 | − | 0.195972i | −0.189134 | − | 0.981951i | \(-0.560568\pi\) |
0.618253 | + | 0.785979i | \(0.287841\pi\) | |||||||
\(282\) | −1.58241 | + | 1.18458i | −0.0942314 | + | 0.0705408i | ||||
\(283\) | −2.36015 | − | 1.28874i | −0.140296 | − | 0.0766077i | 0.407568 | − | 0.913175i | \(-0.366377\pi\) |
−0.547864 | + | 0.836567i | \(0.684559\pi\) | |||||||
\(284\) | −5.85685 | + | 9.11344i | −0.347540 | + | 0.540783i | ||||
\(285\) | −4.00549 | − | 2.46490i | −0.237265 | − | 0.146008i | ||||
\(286\) | −3.36634 | + | 11.4647i | −0.199056 | + | 0.677923i | ||||
\(287\) | 10.8477 | + | 0.775842i | 0.640318 | + | 0.0457965i | ||||
\(288\) | 0.997452 | + | 0.0713392i | 0.0587754 | + | 0.00420370i | ||||
\(289\) | 3.53411 | − | 12.0361i | 0.207889 | − | 0.708005i | ||||
\(290\) | −9.84377 | − | 6.05766i | −0.578046 | − | 0.355718i | ||||
\(291\) | −6.10255 | + | 9.49576i | −0.357738 | + | 0.556651i | ||||
\(292\) | 0.541794 | + | 0.295842i | 0.0317061 | + | 0.0173128i | ||||
\(293\) | 11.7197 | − | 8.77329i | 0.684675 | − | 0.512541i | −0.199381 | − | 0.979922i | \(-0.563893\pi\) |
0.884056 | + | 0.467381i | \(0.154802\pi\) | |||||||
\(294\) | 4.67590 | − | 2.13541i | 0.272704 | − | 0.124540i | ||||
\(295\) | −1.74579 | + | 1.81540i | −0.101644 | + | 0.105697i | ||||
\(296\) | −4.73094 | − | 7.36149i | −0.274981 | − | 0.427878i | ||||
\(297\) | 0.151177 | + | 2.11373i | 0.00877219 | + | 0.122651i | ||||
\(298\) | −2.81995 | − | 2.81995i | −0.163355 | − | 0.163355i | ||||
\(299\) | 27.0262 | − | 0.901879i | 1.56297 | − | 0.0521570i | ||||
\(300\) | −4.29139 | + | 2.56593i | −0.247763 | + | 0.148144i | ||||
\(301\) | 5.48764 | − | 6.33308i | 0.316302 | − | 0.365032i | ||||
\(302\) | −23.5259 | − | 5.11775i | −1.35376 | − | 0.294493i | ||||
\(303\) | −4.50125 | − | 3.36959i | −0.258590 | − | 0.193578i | ||||
\(304\) | 0.873748 | + | 1.91324i | 0.0501129 | + | 0.109732i | ||||
\(305\) | 1.56536 | − | 0.894906i | 0.0896323 | − | 0.0512422i | ||||
\(306\) | −0.594702 | − | 2.02537i | −0.0339968 | − | 0.115783i | ||||
\(307\) | 2.72208 | + | 12.5132i | 0.155358 | + | 0.714167i | 0.987243 | + | 0.159220i | \(0.0508979\pi\) |
−0.831886 | + | 0.554947i | \(0.812738\pi\) | |||||||
\(308\) | −1.00987 | − | 2.70758i | −0.0575429 | − | 0.154279i | ||||
\(309\) | −15.5751 | − | 4.57325i | −0.886035 | − | 0.260163i | ||||
\(310\) | 1.29646 | + | 1.93318i | 0.0736338 | + | 0.109797i | ||||
\(311\) | −8.61434 | − | 9.94148i | −0.488474 | − | 0.563729i | 0.456983 | − | 0.889475i | \(-0.348930\pi\) |
−0.945457 | + | 0.325746i | \(0.894385\pi\) | |||||||
\(312\) | 2.70224 | + | 4.94879i | 0.152984 | + | 0.280170i | ||||
\(313\) | −18.8901 | + | 7.04565i | −1.06773 | + | 0.398244i | −0.821052 | − | 0.570853i | \(-0.806612\pi\) |
−0.246680 | + | 0.969097i | \(0.579340\pi\) | |||||||
\(314\) | −4.86053 | − | 3.12367i | −0.274296 | − | 0.176279i | ||||
\(315\) | 3.00914 | − | 0.492861i | 0.169546 | − | 0.0277696i | ||||
\(316\) | −13.5024 | − | 1.94135i | −0.759570 | − | 0.109210i | ||||
\(317\) | 6.32400 | − | 16.9553i | 0.355191 | − | 0.952304i | −0.629346 | − | 0.777125i | \(-0.716677\pi\) |
0.984537 | − | 0.175178i | \(-0.0560502\pi\) | |||||||
\(318\) | −1.83445 | + | 2.45054i | −0.102871 | + | 0.137420i | ||||
\(319\) | −9.21500 | + | 5.92212i | −0.515941 | + | 0.331575i | ||||
\(320\) | 2.23306 | + | 0.115895i | 0.124832 | + | 0.00647876i | ||||
\(321\) | − | 0.908933i | − | 0.0507317i | ||||||
\(322\) | −5.10182 | + | 4.09164i | −0.284314 | + | 0.228018i | ||||
\(323\) | 3.13944 | − | 3.13944i | 0.174683 | − | 0.174683i | ||||
\(324\) | 0.755750 | + | 0.654861i | 0.0419861 | + | 0.0363812i | ||||
\(325\) | −25.2531 | − | 12.5338i | −1.40079 | − | 0.695251i | ||||
\(326\) | 1.46020 | + | 10.1559i | 0.0808727 | + | 0.562482i | ||||
\(327\) | 14.9552 | + | 5.57799i | 0.827023 | + | 0.308463i | ||||
\(328\) | 4.77933 | + | 6.38443i | 0.263894 | + | 0.352521i | ||||
\(329\) | 2.58634 | − | 0.759417i | 0.142589 | − | 0.0418680i | ||||
\(330\) | 0.430358 | + | 4.71894i | 0.0236904 | + | 0.259769i | ||||
\(331\) | 2.31398 | − | 5.06691i | 0.127188 | − | 0.278502i | −0.835316 | − | 0.549770i | \(-0.814715\pi\) |
0.962504 | + | 0.271267i | \(0.0874427\pi\) | |||||||
\(332\) | −1.30793 | + | 0.714183i | −0.0717819 | + | 0.0391959i | ||||
\(333\) | 0.624262 | − | 8.72833i | 0.0342094 | − | 0.478309i | ||||
\(334\) | −0.760838 | + | 0.659270i | −0.0416312 | + | 0.0360737i | ||||
\(335\) | −14.2857 | + | 32.9719i | −0.780509 | + | 1.80145i | ||||
\(336\) | −1.24043 | − | 0.566485i | −0.0676710 | − | 0.0309043i | ||||
\(337\) | 33.3144 | − | 7.24711i | 1.81475 | − | 0.394775i | 0.828496 | − | 0.559995i | \(-0.189197\pi\) |
0.986257 | + | 0.165220i | \(0.0528333\pi\) | |||||||
\(338\) | −9.00633 | + | 16.4939i | −0.489880 | + | 0.897148i | ||||
\(339\) | 0.139025 | − | 0.966939i | 0.00755079 | − | 0.0525169i | ||||
\(340\) | −1.41806 | − | 4.50201i | −0.0769050 | − | 0.244156i | ||||
\(341\) | 2.18348 | − | 0.313936i | 0.118242 | − | 0.0170006i | ||||
\(342\) | −0.447092 | + | 2.05525i | −0.0241759 | + | 0.111135i | ||||
\(343\) | −16.5132 | + | 1.18105i | −0.891632 | + | 0.0637707i | ||||
\(344\) | 6.14512 | 0.331323 | ||||||||
\(345\) | 9.83544 | − | 4.27366i | 0.529522 | − | 0.230086i | ||||
\(346\) | −12.8603 | −0.691374 | ||||||||
\(347\) | −25.2518 | + | 1.80605i | −1.35559 | + | 0.0969537i | −0.730133 | − | 0.683305i | \(-0.760542\pi\) |
−0.625457 | + | 0.780259i | \(0.715087\pi\) | |||||||
\(348\) | −1.09876 | + | 5.05091i | −0.0588997 | + | 0.270757i | ||||
\(349\) | −14.6196 | + | 2.10198i | −0.782567 | + | 0.112516i | −0.522007 | − | 0.852941i | \(-0.674816\pi\) |
−0.260561 | + | 0.965458i | \(0.583907\pi\) | |||||||
\(350\) | 6.70582 | − | 1.23337i | 0.358441 | − | 0.0659266i | ||||
\(351\) | −0.802441 | + | 5.58110i | −0.0428311 | + | 0.297897i | ||||
\(352\) | 1.01559 | − | 1.85992i | 0.0541313 | − | 0.0991340i | ||||
\(353\) | −1.04608 | + | 0.227561i | −0.0556772 | + | 0.0121118i | −0.240318 | − | 0.970694i | \(-0.577252\pi\) |
0.184640 | + | 0.982806i | \(0.440888\pi\) | |||||||
\(354\) | 1.02457 | + | 0.467908i | 0.0544555 | + | 0.0248690i | ||||
\(355\) | −22.5266 | + | 8.90730i | −1.19559 | + | 0.472751i | ||||
\(356\) | 13.2713 | − | 11.4997i | 0.703380 | − | 0.609482i | ||||
\(357\) | −0.205351 | + | 2.87118i | −0.0108683 | + | 0.151959i | ||||
\(358\) | −6.33459 | + | 3.45895i | −0.334793 | + | 0.182811i | ||||
\(359\) | 1.12498 | − | 2.46337i | 0.0593744 | − | 0.130012i | −0.877619 | − | 0.479359i | \(-0.840869\pi\) |
0.936993 | + | 0.349347i | \(0.113597\pi\) | |||||||
\(360\) | 1.71821 | + | 1.43100i | 0.0905574 | + | 0.0754205i | ||||
\(361\) | 13.9856 | − | 4.10655i | 0.736086 | − | 0.216134i | ||||
\(362\) | 6.02126 | + | 8.04346i | 0.316470 | + | 0.422755i | ||||
\(363\) | −6.09886 | − | 2.27476i | −0.320107 | − | 0.119394i | ||||
\(364\) | −1.09426 | − | 7.61073i | −0.0573547 | − | 0.398911i | ||||
\(365\) | 0.597841 | + | 1.24415i | 0.0312925 | + | 0.0651216i | ||||
\(366\) | −0.609418 | − | 0.528064i | −0.0318548 | − | 0.0276023i | ||||
\(367\) | −3.64681 | + | 3.64681i | −0.190362 | + | 0.190362i | −0.795852 | − | 0.605491i | \(-0.792977\pi\) |
0.605491 | + | 0.795852i | \(0.292977\pi\) | |||||||
\(368\) | −4.71762 | − | 0.862565i | −0.245923 | − | 0.0449643i | ||||
\(369\) | 7.97514i | 0.415169i | ||||||||
\(370\) | 1.01416 | − | 19.5407i | 0.0527235 | − | 1.01587i | ||||
\(371\) | 3.51165 | − | 2.25680i | 0.182316 | − | 0.117167i | ||||
\(372\) | 0.623823 | − | 0.833330i | 0.0323437 | − | 0.0432061i | ||||
\(373\) | −1.62871 | + | 4.36673i | −0.0843312 | + | 0.226101i | −0.972270 | − | 0.233861i | \(-0.924864\pi\) |
0.887939 | + | 0.459961i | \(0.152137\pi\) | |||||||
\(374\) | −4.42769 | − | 0.636606i | −0.228951 | − | 0.0329181i | ||||
\(375\) | −11.1408 | − | 0.939827i | −0.575307 | − | 0.0485325i | ||||
\(376\) | 1.66289 | + | 1.06867i | 0.0857570 | + | 0.0551127i | ||||
\(377\) | −27.3080 | + | 10.1853i | −1.40643 | + | 0.524572i | ||||
\(378\) | −0.653533 | − | 1.19686i | −0.0336141 | − | 0.0615597i | ||||
\(379\) | 7.72162 | + | 8.91122i | 0.396633 | + | 0.457739i | 0.918578 | − | 0.395241i | \(-0.129339\pi\) |
−0.521945 | + | 0.852979i | \(0.674793\pi\) | |||||||
\(380\) | −0.909713 | + | 4.61433i | −0.0466673 | + | 0.236710i | ||||
\(381\) | 12.7000 | + | 3.72907i | 0.650643 | + | 0.191046i | ||||
\(382\) | −3.75148 | − | 10.0581i | −0.191942 | − | 0.514617i | ||||
\(383\) | −0.296861 | − | 1.36465i | −0.0151689 | − | 0.0697302i | 0.968940 | − | 0.247295i | \(-0.0795417\pi\) |
−0.984109 | + | 0.177565i | \(0.943178\pi\) | |||||||
\(384\) | −0.281733 | − | 0.959493i | −0.0143771 | − | 0.0489639i | ||||
\(385\) | 1.69895 | − | 6.23439i | 0.0865867 | − | 0.317734i | ||||
\(386\) | 0.739502 | + | 1.61928i | 0.0376397 | + | 0.0824194i | ||||
\(387\) | 4.91942 | + | 3.68263i | 0.250068 | + | 0.187199i | ||||
\(388\) | 11.0297 | + | 2.39936i | 0.559947 | + | 0.121809i | ||||
\(389\) | −20.1673 | + | 23.2743i | −1.02252 | + | 1.18006i | −0.0390075 | + | 0.999239i | \(0.512420\pi\) |
−0.983517 | + | 0.180817i | \(0.942126\pi\) | |||||||
\(390\) | −1.55005 | + | 12.5124i | −0.0784898 | + | 0.633590i | ||||
\(391\) | 1.77411 | + | 9.96673i | 0.0897204 | + | 0.504039i | ||||
\(392\) | −3.63483 | − | 3.63483i | −0.183587 | − | 0.183587i | ||||
\(393\) | 0.851276 | + | 11.9024i | 0.0429412 | + | 0.600396i | ||||
\(394\) | −11.2044 | − | 17.4344i | −0.564469 | − | 0.878331i | ||||
\(395\) | −21.9862 | − | 21.1430i | −1.10624 | − | 1.06382i | ||||
\(396\) | 1.92763 | − | 0.880320i | 0.0968671 | − | 0.0442377i | ||||
\(397\) | 11.2269 | − | 8.40433i | 0.563461 | − | 0.421801i | −0.279210 | − | 0.960230i | \(-0.590073\pi\) |
0.842671 | + | 0.538428i | \(0.180982\pi\) | |||||||
\(398\) | 5.30027 | + | 2.89417i | 0.265679 | + | 0.145072i | ||||
\(399\) | 1.55067 | − | 2.41289i | 0.0776306 | − | 0.120796i | ||||
\(400\) | 3.90383 | + | 3.12412i | 0.195192 | + | 0.156206i | ||||
\(401\) | 0.481013 | − | 1.63818i | 0.0240206 | − | 0.0818067i | −0.946610 | − | 0.322380i | \(-0.895517\pi\) |
0.970631 | + | 0.240573i | \(0.0773354\pi\) | |||||||
\(402\) | 16.0291 | + | 1.14642i | 0.799458 | + | 0.0571783i | ||||
\(403\) | 5.85448 | + | 0.418721i | 0.291632 | + | 0.0208580i | ||||
\(404\) | −1.58411 | + | 5.39499i | −0.0788126 | + | 0.268411i | ||||
\(405\) | 0.517925 | + | 2.17526i | 0.0257359 | + | 0.108090i | ||||
\(406\) | 3.81088 | − | 5.92985i | 0.189131 | − | 0.294293i | ||||
\(407\) | −16.2754 | − | 8.88707i | −0.806744 | − | 0.440515i | ||||
\(408\) | −1.68984 | + | 1.26500i | −0.0836596 | + | 0.0626268i | ||||
\(409\) | −1.33912 | + | 0.611554i | −0.0662150 | + | 0.0302394i | −0.448247 | − | 0.893910i | \(-0.647952\pi\) |
0.382032 | + | 0.924149i | \(0.375224\pi\) | |||||||
\(410\) | 0.348551 | + | 17.8296i | 0.0172137 | + | 0.880539i | ||||
\(411\) | 2.54806 | + | 3.96485i | 0.125686 | + | 0.195572i | ||||
\(412\) | 1.15802 | + | 16.1912i | 0.0570516 | + | 0.797685i | ||||
\(413\) | −1.08610 | − | 1.08610i | −0.0534434 | − | 0.0534434i | ||||
\(414\) | −3.25974 | − | 3.51769i | −0.160207 | − | 0.172885i | ||||
\(415\) | −3.30694 | − | 0.409667i | −0.162331 | − | 0.0201098i | ||||
\(416\) | 3.69243 | − | 4.26129i | 0.181036 | − | 0.208927i | ||||
\(417\) | −18.3070 | − | 3.98244i | −0.896498 | − | 0.195021i | ||||
\(418\) | 3.56818 | + | 2.67110i | 0.174525 | + | 0.130648i | ||||
\(419\) | 4.63401 | + | 10.1471i | 0.226386 | + | 0.495717i | 0.988405 | − | 0.151838i | \(-0.0485191\pi\) |
−0.762019 | + | 0.647555i | \(0.775792\pi\) | |||||||
\(420\) | −1.51337 | − | 2.64718i | −0.0738451 | − | 0.129169i | ||||
\(421\) | 3.03356 | + | 10.3314i | 0.147847 | + | 0.503520i | 0.999798 | − | 0.0201014i | \(-0.00639892\pi\) |
−0.851951 | + | 0.523621i | \(0.824581\pi\) | |||||||
\(422\) | −2.03360 | − | 9.34832i | −0.0989943 | − | 0.455069i | ||||
\(423\) | 0.690779 | + | 1.85205i | 0.0335868 | + | 0.0900498i | ||||
\(424\) | 2.93711 | + | 0.862413i | 0.142639 | + | 0.0418825i | ||||
\(425\) | 3.29907 | − | 10.0255i | 0.160028 | − | 0.486309i | ||||
\(426\) | 7.09421 | + | 8.18716i | 0.343716 | + | 0.396669i | ||||
\(427\) | 0.526993 | + | 0.965116i | 0.0255030 | + | 0.0467053i | ||||
\(428\) | −0.851624 | + | 0.317639i | −0.0411648 | + | 0.0153537i | ||||
\(429\) | 10.0519 | + | 6.45996i | 0.485310 | + | 0.311890i | ||||
\(430\) | 11.1590 | + | 8.01804i | 0.538135 | + | 0.386664i | ||||
\(431\) | 0.686463 | + | 0.0986985i | 0.0330658 | + | 0.00475414i | 0.158828 | − | 0.987306i | \(-0.449229\pi\) |
−0.125762 | + | 0.992060i | \(0.540138\pi\) | |||||||
\(432\) | 0.349464 | − | 0.936950i | 0.0168136 | − | 0.0450790i | ||||
\(433\) | −4.29264 | + | 5.73430i | −0.206291 | + | 0.275573i | −0.891740 | − | 0.452548i | \(-0.850515\pi\) |
0.685449 | + | 0.728121i | \(0.259606\pi\) | |||||||
\(434\) | −1.19417 | + | 0.767447i | −0.0573220 | + | 0.0368386i | ||||
\(435\) | −8.58559 | + | 7.73838i | −0.411648 | + | 0.371027i | ||||
\(436\) | − | 15.9615i | − | 0.764419i | ||||||
\(437\) | 3.20792 | − | 9.56346i | 0.153456 | − | 0.457482i | ||||
\(438\) | 0.436499 | − | 0.436499i | 0.0208567 | − | 0.0208567i | ||||
\(439\) | −0.738650 | − | 0.640044i | −0.0352539 | − | 0.0305476i | 0.637056 | − | 0.770818i | \(-0.280152\pi\) |
−0.672310 | + | 0.740270i | \(0.734698\pi\) | |||||||
\(440\) | 4.27102 | − | 2.05233i | 0.203613 | − | 0.0978408i | ||||
\(441\) | −0.731559 | − | 5.08811i | −0.0348362 | − | 0.242291i | ||||
\(442\) | −11.1517 | − | 4.15937i | −0.530433 | − | 0.197841i | ||||
\(443\) | −16.9697 | − | 22.6689i | −0.806255 | − | 1.07703i | −0.995468 | − | 0.0950943i | \(-0.969685\pi\) |
0.189213 | − | 0.981936i | \(-0.439406\pi\) | |||||||
\(444\) | −8.39616 | + | 2.46534i | −0.398464 | + | 0.117000i | ||||
\(445\) | 39.1042 | − | 3.56622i | 1.85372 | − | 0.169055i | ||||
\(446\) | −10.9574 | + | 23.9933i | −0.518847 | + | 1.13612i | ||||
\(447\) | −3.50020 | + | 1.91125i | −0.165554 | + | 0.0903991i | ||||
\(448\) | −0.0972825 | + | 1.36019i | −0.00459616 | + | 0.0642628i | ||||
\(449\) | −19.9243 | + | 17.2645i | −0.940288 | + | 0.814764i | −0.982865 | − | 0.184329i | \(-0.940989\pi\) |
0.0425770 | + | 0.999093i | \(0.486443\pi\) | |||||||
\(450\) | 1.25296 | + | 4.84046i | 0.0590653 | + | 0.228182i | ||||
\(451\) | 15.3731 | + | 7.02068i | 0.723893 | + | 0.330591i | ||||
\(452\) | −0.954557 | + | 0.207651i | −0.0448986 | + | 0.00976709i | ||||
\(453\) | −11.5385 | + | 21.1311i | −0.542124 | + | 0.992826i | ||||
\(454\) | 0.247259 | − | 1.71972i | 0.0116044 | − | 0.0807105i | ||||
\(455\) | 7.94327 | − | 15.2482i | 0.372386 | − | 0.714847i | ||||
\(456\) | 2.08191 | − | 0.299333i | 0.0974942 | − | 0.0140175i | ||||
\(457\) | 7.70254 | − | 35.4080i | 0.360310 | − | 1.65632i | −0.338468 | − | 0.940978i | \(-0.609909\pi\) |
0.698778 | − | 0.715339i | \(-0.253728\pi\) | |||||||
\(458\) | 0.509574 | − | 0.0364454i | 0.0238108 | − | 0.00170298i | ||||
\(459\) | −2.11087 | −0.0985272 | ||||||||
\(460\) | −7.44134 | − | 7.72182i | −0.346954 | − | 0.360032i | ||||
\(461\) | −9.52809 | −0.443767 | −0.221884 | − | 0.975073i | \(-0.571221\pi\) | ||||
−0.221884 | + | 0.975073i | \(0.571221\pi\) | |||||||
\(462\) | −2.88242 | + | 0.206154i | −0.134102 | + | 0.00959118i | ||||
\(463\) | −4.51561 | + | 20.7579i | −0.209858 | + | 0.964702i | 0.744867 | + | 0.667213i | \(0.232513\pi\) |
−0.954725 | + | 0.297489i | \(0.903851\pi\) | |||||||
\(464\) | 5.11643 | − | 0.735631i | 0.237524 | − | 0.0341508i | ||||
\(465\) | 2.22012 | − | 0.699302i | 0.102956 | − | 0.0324294i | ||||
\(466\) | −2.29317 | + | 15.9494i | −0.106229 | + | 0.738841i | ||||
\(467\) | 18.0134 | − | 32.9891i | 0.833561 | − | 1.52655i | −0.0164971 | − | 0.999864i | \(-0.505251\pi\) |
0.850058 | − | 0.526689i | \(-0.176567\pi\) | |||||||
\(468\) | 5.50964 | − | 1.19855i | 0.254683 | − | 0.0554029i | ||||
\(469\) | −19.9337 | − | 9.10343i | −0.920454 | − | 0.420357i | ||||
\(470\) | 1.62528 | + | 4.11033i | 0.0749685 | + | 0.189595i | ||||
\(471\) | −4.36651 | + | 3.78360i | −0.201198 | + | 0.174339i | ||||
\(472\) | 0.0803537 | − | 1.12349i | 0.00369858 | − | 0.0517129i | ||||
\(473\) | 11.4294 | − | 6.24094i | 0.525525 | − | 0.286959i | ||||
\(474\) | −5.66678 | + | 12.4085i | −0.260284 | + | 0.569942i | ||||
\(475\) | −7.67266 | + | 7.19226i | −0.352046 | + | 0.330003i | ||||
\(476\) | 2.76192 | − | 0.810972i | 0.126592 | − | 0.0371708i | ||||
\(477\) | 1.83445 | + | 2.45054i | 0.0839938 | + | 0.112203i | ||||
\(478\) | 10.0533 | + | 3.74970i | 0.459829 | + | 0.171507i | ||||
\(479\) | 4.54229 | + | 31.5923i | 0.207543 | + | 1.44349i | 0.781142 | + | 0.624354i | \(0.214638\pi\) |
−0.573599 | + | 0.819136i | \(0.694453\pi\) | |||||||
\(480\) | 0.740327 | − | 2.10996i | 0.0337912 | − | 0.0963059i | ||||
\(481\) | −37.2889 | − | 32.3110i | −1.70023 | − | 1.47326i | ||||
\(482\) | 13.0203 | − | 13.0203i | 0.593058 | − | 0.593058i | ||||
\(483\) | 2.48855 | + | 6.04791i | 0.113233 | + | 0.275190i | ||||
\(484\) | 6.50927i | 0.295876i | ||||||||
\(485\) | 16.8983 | + | 18.7483i | 0.767312 | + | 0.851318i | ||||
\(486\) | 0.841254 | − | 0.540641i | 0.0381600 | − | 0.0245240i | ||||
\(487\) | 5.08167 | − | 6.78831i | 0.230272 | − | 0.307608i | −0.670491 | − | 0.741917i | \(-0.733917\pi\) |
0.900764 | + | 0.434309i | \(0.143008\pi\) | |||||||
\(488\) | −0.281800 | + | 0.755534i | −0.0127565 | + | 0.0342014i | ||||
\(489\) | 10.1559 | + | 1.46020i | 0.459265 | + | 0.0660323i | ||||
\(490\) | −1.85788 | − | 11.3432i | −0.0839304 | − | 0.512434i | ||||
\(491\) | −20.9053 | − | 13.4351i | −0.943445 | − | 0.606315i | −0.0240755 | − | 0.999710i | \(-0.507664\pi\) |
−0.919370 | + | 0.393395i | \(0.871301\pi\) | |||||||
\(492\) | 7.47231 | − | 2.78703i | 0.336878 | − | 0.125649i | ||||
\(493\) | −5.22918 | − | 9.57653i | −0.235510 | − | 0.431305i | ||||
\(494\) | 7.76634 | + | 8.96283i | 0.349424 | + | 0.403257i | ||||
\(495\) | 4.64904 | + | 0.916554i | 0.208959 | + | 0.0411961i | ||||
\(496\) | −0.998792 | − | 0.293272i | −0.0448471 | − | 0.0131683i | ||||
\(497\) | −5.16255 | − | 13.8413i | −0.231572 | − | 0.620869i | ||||
\(498\) | 0.316767 | + | 1.45616i | 0.0141947 | + | 0.0652519i | ||||
\(499\) | −7.79598 | − | 26.5507i | −0.348996 | − | 1.18857i | −0.927792 | − | 0.373099i | \(-0.878295\pi\) |
0.578796 | − | 0.815473i | \(-0.303523\pi\) | |||||||
\(500\) | 3.01273 | + | 10.7668i | 0.134733 | + | 0.481505i | ||||
\(501\) | 0.418212 | + | 0.915757i | 0.0186843 | + | 0.0409130i | ||||
\(502\) | −7.82168 | − | 5.85523i | −0.349099 | − | 0.261332i | ||||
\(503\) | 19.4937 | + | 4.24060i | 0.869183 | + | 0.189079i | 0.624976 | − | 0.780644i | \(-0.285109\pi\) |
0.244207 | + | 0.969723i | \(0.421472\pi\) | |||||||
\(504\) | −0.893008 | + | 1.03059i | −0.0397777 | + | 0.0459060i | ||||
\(505\) | −9.91590 | + | 7.72992i | −0.441252 | + | 0.343977i | ||||
\(506\) | −9.65041 | + | 3.18688i | −0.429013 | + | 0.141674i | ||||
\(507\) | 13.2884 | + | 13.2884i | 0.590157 | + | 0.590157i | ||||
\(508\) | −0.944260 | − | 13.2025i | −0.0418948 | − | 0.585765i | ||||
\(509\) | 10.0052 | + | 15.5683i | 0.443471 | + | 0.690055i | 0.988980 | − | 0.148051i | \(-0.0472998\pi\) |
−0.545509 | + | 0.838105i | \(0.683663\pi\) | |||||||
\(510\) | −4.71916 | + | 0.0922550i | −0.208968 | + | 0.00408512i | ||||
\(511\) | −0.765720 | + | 0.349693i | −0.0338735 | + | 0.0154695i | ||||
\(512\) | −0.800541 | + | 0.599278i | −0.0353793 | + | 0.0264846i | ||||
\(513\) | 1.84603 | + | 1.00801i | 0.0815044 | + | 0.0445048i | ||||
\(514\) | 12.9314 | − | 20.1217i | 0.570380 | − | 0.887529i | ||||
\(515\) | −19.0232 | + | 30.9129i | −0.838261 | + | 1.36218i | ||||
\(516\) | 1.73128 | − | 5.89620i | 0.0762154 | − | 0.259566i | ||||
\(517\) | 4.17818 | + | 0.298829i | 0.183756 | + | 0.0131425i | ||||
\(518\) | 11.9025 | + | 0.851282i | 0.522965 | + | 0.0374032i | ||||
\(519\) | −3.62317 | + | 12.3394i | −0.159039 | + | 0.541638i | ||||
\(520\) | 12.2652 | − | 2.92032i | 0.537864 | − | 0.128064i | ||||
\(521\) | 21.2785 | − | 33.1100i | 0.932227 | − | 1.45057i | 0.0398903 | − | 0.999204i | \(-0.487299\pi\) |
0.892337 | − | 0.451370i | \(-0.149064\pi\) | |||||||
\(522\) | 4.53676 | + | 2.47726i | 0.198569 | + | 0.108427i | ||||
\(523\) | 14.9681 | − | 11.2050i | 0.654510 | − | 0.489960i | −0.219662 | − | 0.975576i | \(-0.570495\pi\) |
0.874172 | + | 0.485616i | \(0.161405\pi\) | |||||||
\(524\) | 10.8545 | − | 4.95706i | 0.474179 | − | 0.216550i | ||||
\(525\) | 0.705836 | − | 6.78167i | 0.0308052 | − | 0.295976i | ||||
\(526\) | −4.61402 | − | 7.17955i | −0.201181 | − | 0.313043i | ||||
\(527\) | 0.156756 | + | 2.19173i | 0.00682839 | + | 0.0954734i | ||||
\(528\) | −1.49845 | − | 1.49845i | −0.0652118 | − | 0.0652118i | ||||
\(529\) | 13.6970 | + | 18.4768i | 0.595522 | + | 0.803339i | ||||
\(530\) | 4.20828 | + | 5.39836i | 0.182796 | + | 0.234490i | ||||
\(531\) | 0.737610 | − | 0.851248i | 0.0320096 | − | 0.0369410i | ||||
\(532\) | −2.80266 | − | 0.609681i | −0.121511 | − | 0.0264330i | ||||
\(533\) | 35.9986 | + | 26.9482i | 1.55927 | + | 1.16726i | ||||
\(534\) | −7.29490 | − | 15.9736i | −0.315681 | − | 0.691245i | ||||
\(535\) | −1.96093 | − | 0.534378i | −0.0847782 | − | 0.0231032i | ||||
\(536\) | −4.52745 | − | 15.4191i | −0.195556 | − | 0.666003i | ||||
\(537\) | 1.53417 | + | 7.05249i | 0.0662045 | + | 0.304337i | ||||
\(538\) | −9.42619 | − | 25.2726i | −0.406392 | − | 1.08958i | ||||
\(539\) | −10.4520 | − | 3.06898i | −0.450199 | − | 0.132190i | ||||
\(540\) | 1.85711 | − | 1.24545i | 0.0799174 | − | 0.0535954i | ||||
\(541\) | −20.6548 | − | 23.8369i | −0.888019 | − | 1.02483i | −0.999517 | − | 0.0310644i | \(-0.990110\pi\) |
0.111498 | − | 0.993765i | \(-0.464435\pi\) | |||||||
\(542\) | −2.47241 | − | 4.52788i | −0.106199 | − | 0.194489i | ||||
\(543\) | 9.41403 | − | 3.51125i | 0.403995 | − | 0.150682i | ||||
\(544\) | 1.77578 | + | 1.14122i | 0.0761360 | + | 0.0489296i | ||||
\(545\) | 20.8263 | − | 28.9848i | 0.892102 | − | 1.24157i | ||||
\(546\) | −7.61073 | − | 1.09426i | −0.325709 | − | 0.0468299i | ||||
\(547\) | 12.8656 | − | 34.4941i | 0.550094 | − | 1.47486i | −0.302942 | − | 0.953009i | \(-0.597969\pi\) |
0.853037 | − | 0.521851i | \(-0.174758\pi\) | |||||||
\(548\) | 2.82441 | − | 3.77298i | 0.120653 | − | 0.161174i | ||||
\(549\) | −0.678367 | + | 0.435960i | −0.0289520 | + | 0.0186063i | ||||
\(550\) | 10.4336 | + | 1.84590i | 0.444892 | + | 0.0787095i | ||||
\(551\) | 10.8721i | 0.463168i | ||||||||
\(552\) | −2.15673 | + | 4.28351i | −0.0917967 | + | 0.182319i | ||||
\(553\) | 13.1536 | − | 13.1536i | 0.559349 | − | 0.559349i | ||||
\(554\) | −4.70566 | − | 4.07748i | −0.199924 | − | 0.173236i | ||||
\(555\) | −18.4634 | − | 6.47832i | −0.783729 | − | 0.274990i | ||||
\(556\) | 2.66629 | + | 18.5445i | 0.113076 | + | 0.786460i | ||||
\(557\) | −4.18296 | − | 1.56016i | −0.177238 | − | 0.0661062i | 0.259279 | − | 0.965803i | \(-0.416515\pi\) |
−0.436516 | + | 0.899696i | \(0.643788\pi\) | |||||||
\(558\) | −0.623823 | − | 0.833330i | −0.0264085 | − | 0.0352777i | ||||
\(559\) | 33.2457 | − | 9.76181i | 1.40614 | − | 0.412881i | ||||
\(560\) | −1.95140 | + | 2.34305i | −0.0824619 | + | 0.0990119i | ||||
\(561\) | −1.85824 | + | 4.06899i | −0.0784551 | + | 0.171793i | ||||
\(562\) | −6.94067 | + | 3.78989i | −0.292774 | + | 0.159867i | ||||
\(563\) | 0.793937 | − | 11.1007i | 0.0334605 | − | 0.467839i | −0.952905 | − | 0.303269i | \(-0.901922\pi\) |
0.986365 | − | 0.164570i | \(-0.0526235\pi\) | |||||||
\(564\) | 1.49388 | − | 1.29445i | 0.0629035 | − | 0.0545062i | ||||
\(565\) | −2.00433 | − | 0.868413i | −0.0843230 | − | 0.0365344i | ||||
\(566\) | 2.44608 | + | 1.11709i | 0.102816 | + | 0.0469546i | ||||
\(567\) | −1.33250 | + | 0.289867i | −0.0559596 | + | 0.0121733i | ||||
\(568\) | 5.19178 | − | 9.50804i | 0.217842 | − | 0.398949i | ||||
\(569\) | 3.11620 | − | 21.6736i | 0.130638 | − | 0.908606i | −0.814087 | − | 0.580743i | \(-0.802762\pi\) |
0.944725 | − | 0.327864i | \(-0.106329\pi\) | |||||||
\(570\) | 4.17113 | + | 2.17287i | 0.174709 | + | 0.0910116i | ||||
\(571\) | 19.6100 | − | 2.81949i | 0.820651 | − | 0.117992i | 0.280815 | − | 0.959762i | \(-0.409395\pi\) |
0.539836 | + | 0.841770i | \(0.318486\pi\) | |||||||
\(572\) | 2.53988 | − | 11.6757i | 0.106198 | − | 0.488184i | ||||
\(573\) | −10.7076 | + | 0.765822i | −0.447316 | + | 0.0319927i | ||||
\(574\) | −10.8754 | −0.453930 | ||||||||
\(575\) | −3.43754 | − | 23.7315i | −0.143355 | − | 0.989671i | ||||
\(576\) | −1.00000 | −0.0416667 | ||||||||
\(577\) | 13.7421 | − | 0.982858i | 0.572093 | − | 0.0409169i | 0.217704 | − | 0.976015i | \(-0.430143\pi\) |
0.354389 | + | 0.935098i | \(0.384689\pi\) | |||||||
\(578\) | −2.66646 | + | 12.2575i | −0.110910 | + | 0.509846i | ||||
\(579\) | 1.76203 | − | 0.253342i | 0.0732276 | − | 0.0105285i | ||||
\(580\) | 10.2508 | + | 5.33998i | 0.425643 | + | 0.221731i | ||||
\(581\) | 0.289204 | − | 2.01146i | 0.0119982 | − | 0.0834494i | ||||
\(582\) | 5.40958 | − | 9.90691i | 0.224234 | − | 0.410655i | ||||
\(583\) | 6.33865 | − | 1.37889i | 0.262520 | − | 0.0571077i | ||||
\(584\) | −0.561518 | − | 0.256437i | −0.0232358 | − | 0.0106114i | ||||
\(585\) | 11.5689 | + | 5.01241i | 0.478314 | + | 0.207238i | ||||
\(586\) | −11.0640 | + | 9.58702i | −0.457050 | + | 0.396036i | ||||
\(587\) | 0.607129 | − | 8.48878i | 0.0250589 | − | 0.350369i | −0.969418 | − | 0.245415i | \(-0.921076\pi\) |
0.994477 | − | 0.104954i | \(-0.0334697\pi\) | |||||||
\(588\) | −4.51165 | + | 2.46355i | −0.186057 | + | 0.101595i | ||||
\(589\) | 0.909535 | − | 1.99160i | 0.0374768 | − | 0.0820626i | ||||
\(590\) | 1.61183 | − | 1.93532i | 0.0663579 | − | 0.0796759i | ||||
\(591\) | −19.8848 | + | 5.83871i | −0.817952 | + | 0.240172i | ||||
\(592\) | 5.24405 | + | 7.00523i | 0.215529 | + | 0.287913i | ||||
\(593\) | −17.4811 | − | 6.52010i | −0.717862 | − | 0.267749i | −0.0361262 | − | 0.999347i | \(-0.511502\pi\) |
−0.681736 | + | 0.731599i | \(0.738775\pi\) | |||||||
\(594\) | −0.301584 | − | 2.09756i | −0.0123741 | − | 0.0860641i | ||||
\(595\) | 6.07354 | + | 2.13104i | 0.248991 | + | 0.0873643i | ||||
\(596\) | 3.01394 | + | 2.61159i | 0.123456 | + | 0.106975i | ||||
\(597\) | 4.27019 | − | 4.27019i | 0.174767 | − | 0.174767i | ||||
\(598\) | −26.8930 | + | 2.82761i | −1.09974 | + | 0.115630i | ||||
\(599\) | 26.0165i | 1.06301i | 0.847056 | + | 0.531503i | \(0.178373\pi\) | ||||
−0.847056 | + | 0.531503i | \(0.821627\pi\) | |||||||
\(600\) | 4.09740 | − | 2.86553i | 0.167276 | − | 0.116985i | ||||
\(601\) | −19.5792 | + | 12.5828i | −0.798654 | + | 0.513263i | −0.875176 | − | 0.483804i | \(-0.839255\pi\) |
0.0765226 | + | 0.997068i | \(0.475618\pi\) | |||||||
\(602\) | −5.02186 | + | 6.70842i | −0.204676 | + | 0.273415i | ||||
\(603\) | 5.61590 | − | 15.0568i | 0.228697 | − | 0.613160i | ||||
\(604\) | 23.8311 | + | 3.42639i | 0.969673 | + | 0.139418i | ||||
\(605\) | −8.49319 | + | 11.8203i | −0.345297 | + | 0.480563i | ||||
\(606\) | 4.73016 | + | 3.03989i | 0.192150 | + | 0.123487i | ||||
\(607\) | −19.4890 | + | 7.26903i | −0.791035 | + | 0.295041i | −0.712319 | − | 0.701856i | \(-0.752355\pi\) |
−0.0787165 | + | 0.996897i | \(0.525082\pi\) | |||||||
\(608\) | −1.00801 | − | 1.84603i | −0.0408803 | − | 0.0748666i | ||||
\(609\) | −4.61600 | − | 5.32714i | −0.187050 | − | 0.215867i | ||||
\(610\) | −1.49753 | + | 1.00430i | −0.0606332 | + | 0.0406628i | ||||
\(611\) | 10.6940 | + | 3.14005i | 0.432634 | + | 0.127033i | ||||
\(612\) | 0.737675 | + | 1.97778i | 0.0298187 | + | 0.0799471i | ||||
\(613\) | −4.58172 | − | 21.0618i | −0.185054 | − | 0.850680i | −0.972244 | − | 0.233969i | \(-0.924829\pi\) |
0.787190 | − | 0.616711i | \(-0.211535\pi\) | |||||||
\(614\) | −3.60783 | − | 12.2871i | −0.145600 | − | 0.495869i | ||||
\(615\) | 17.2055 | + | 4.68873i | 0.693794 | + | 0.189068i | ||||
\(616\) | 1.20046 | + | 2.62864i | 0.0483678 | + | 0.105911i | ||||
\(617\) | 27.6152 | + | 20.6725i | 1.11175 | + | 0.832243i | 0.987123 | − | 0.159961i | \(-0.0511369\pi\) |
0.124623 | + | 0.992204i | \(0.460228\pi\) | |||||||
\(618\) | 15.8616 | + | 3.45049i | 0.638049 | + | 0.138799i | ||||
\(619\) | −4.73589 | + | 5.46551i | −0.190352 | + | 0.219677i | −0.842901 | − | 0.538069i | \(-0.819154\pi\) |
0.652549 | + | 0.757746i | \(0.273700\pi\) | |||||||
\(620\) | −1.43106 | − | 1.83576i | −0.0574729 | − | 0.0737260i | ||||
\(621\) | −4.29357 | + | 2.13665i | −0.172295 | + | 0.0857407i | ||||
\(622\) | 9.30161 | + | 9.30161i | 0.372960 | + | 0.372960i | ||||
\(623\) | 1.70833 | + | 23.8856i | 0.0684427 | + | 0.956955i | ||||
\(624\) | −3.04840 | − | 4.74340i | −0.122034 | − | 0.189888i | ||||
\(625\) | −8.57744 | + | 23.4825i | −0.343098 | + | 0.939300i | ||||
\(626\) | 18.3394 | − | 8.37530i | 0.732988 | − | 0.334744i | ||||
\(627\) | 3.56818 | − | 2.67110i | 0.142499 | − | 0.106674i | ||||
\(628\) | 5.07099 | + | 2.76897i | 0.202354 | + | 0.110494i | ||||
\(629\) | 9.98643 | − | 15.5392i | 0.398185 | − | 0.619588i | ||||
\(630\) | −2.96632 | + | 0.706275i | −0.118181 | + | 0.0281387i | ||||
\(631\) | −14.0116 | + | 47.7192i | −0.557794 | + | 1.89967i | −0.143111 | + | 0.989707i | \(0.545710\pi\) |
−0.414684 | + | 0.909966i | \(0.636108\pi\) | |||||||
\(632\) | 13.6065 | + | 0.973156i | 0.541237 | + | 0.0387101i | ||||
\(633\) | −9.54258 | − | 0.682499i | −0.379284 | − | 0.0271269i | ||||
\(634\) | −5.09831 | + | 17.3632i | −0.202480 | + | 0.689582i | ||||
\(635\) | 15.5117 | − | 25.2066i | 0.615562 | − | 1.00029i | ||||
\(636\) | 1.65496 | − | 2.57517i | 0.0656234 | − | 0.102112i | ||||
\(637\) | −25.4389 | − | 13.8907i | −1.00793 | − | 0.550369i | ||||
\(638\) | 8.76904 | − | 6.56442i | 0.347170 | − | 0.259888i | ||||
\(639\) | 9.85419 | − | 4.50026i | 0.389826 | − | 0.178027i | ||||
\(640\) | −2.23564 | + | 0.0437046i | −0.0883715 | + | 0.00172758i | ||||
\(641\) | 18.0069 | + | 28.0193i | 0.711231 | + | 1.10670i | 0.989266 | + | 0.146126i | \(0.0466805\pi\) |
−0.278035 | + | 0.960571i | \(0.589683\pi\) | |||||||
\(642\) | 0.0648425 | + | 0.906617i | 0.00255913 | + | 0.0357813i | ||||
\(643\) | 35.1839 | + | 35.1839i | 1.38752 | + | 1.38752i | 0.830501 | + | 0.557018i | \(0.188054\pi\) |
0.557018 | + | 0.830501i | \(0.311946\pi\) | |||||||
\(644\) | 4.79693 | − | 4.44518i | 0.189026 | − | 0.175164i | ||||
\(645\) | 10.8371 | − | 8.44805i | 0.426711 | − | 0.332641i | ||||
\(646\) | −2.90747 | + | 3.35540i | −0.114393 | + | 0.132017i | ||||
\(647\) | −33.2418 | − | 7.23132i | −1.30687 | − | 0.284292i | −0.495390 | − | 0.868671i | \(-0.664975\pi\) |
−0.811481 | + | 0.584379i | \(0.801338\pi\) | |||||||
\(648\) | −0.800541 | − | 0.599278i | −0.0314482 | − | 0.0235419i | ||||
\(649\) | −0.991559 | − | 2.17121i | −0.0389221 | − | 0.0852275i | ||||
\(650\) | 26.0829 | + | 10.7003i | 1.02306 | + | 0.419702i | ||||
\(651\) | 0.399923 | + | 1.36201i | 0.0156742 | + | 0.0533815i | ||||
\(652\) | −2.18099 | − | 10.0258i | −0.0854140 | − | 0.392642i | ||||
\(653\) | −11.0624 | − | 29.6595i | −0.432906 | − | 1.16067i | −0.952040 | − | 0.305974i | \(-0.901018\pi\) |
0.519134 | − | 0.854693i | \(-0.326255\pi\) | |||||||
\(654\) | −15.3150 | − | 4.49689i | −0.598864 | − | 0.175842i | ||||
\(655\) | 26.1786 | + | 5.16110i | 1.02288 | + | 0.201661i | ||||
\(656\) | −5.22261 | − | 6.02721i | −0.203909 | − | 0.235323i | ||||
\(657\) | −0.295842 | − | 0.541794i | −0.0115419 | − | 0.0211374i | ||||
\(658\) | −2.52557 | + | 0.941989i | −0.0984570 | + | 0.0367225i | ||||
\(659\) | 17.3319 | + | 11.1385i | 0.675156 | + | 0.433896i | 0.832781 | − | 0.553603i | \(-0.186747\pi\) |
−0.157625 | + | 0.987499i | \(0.550384\pi\) | |||||||
\(660\) | −0.765907 | − | 4.67622i | −0.0298129 | − | 0.182022i | ||||
\(661\) | −29.8793 | − | 4.29599i | −1.16217 | − | 0.167095i | −0.465874 | − | 0.884851i | \(-0.654260\pi\) |
−0.696294 | + | 0.717756i | \(0.745169\pi\) | |||||||
\(662\) | −1.94661 | + | 5.21908i | −0.0756573 | + | 0.202845i | ||||
\(663\) | −7.13269 | + | 9.52816i | −0.277011 | + | 0.370043i | ||||
\(664\) | 1.25365 | − | 0.805670i | 0.0486509 | − | 0.0312660i | ||||
\(665\) | −4.29389 | − | 4.76399i | −0.166510 | − | 0.184740i | ||||
\(666\) | 8.75062i | 0.339080i | ||||||||
\(667\) | −20.3297 | − | 14.1859i | −0.787171 | − | 0.549279i | ||||
\(668\) | 0.711868 | − | 0.711868i | 0.0275430 | − | 0.0275430i | ||||
\(669\) | 19.9344 | + | 17.2732i | 0.770707 | + | 0.667821i | ||||
\(670\) | 11.8971 | − | 33.9070i | 0.459624 | − | 1.30994i | ||||
\(671\) | 0.243190 | + | 1.69142i | 0.00938825 | + | 0.0652967i | ||||
\(672\) | 1.27768 | + | 0.476551i | 0.0492876 | + | 0.0183833i | ||||
\(673\) | 3.59910 | + | 4.80783i | 0.138735 | + | 0.185328i | 0.864528 | − | 0.502585i | \(-0.167618\pi\) |
−0.725793 | + | 0.687914i | \(0.758527\pi\) | |||||||
\(674\) | −32.7125 | + | 9.60527i | −1.26004 | + | 0.369981i | ||||
\(675\) | 4.99739 | + | 0.161505i | 0.192350 | + | 0.00621635i | ||||
\(676\) | 7.80673 | − | 17.0943i | 0.300259 | − | 0.657475i | ||||
\(677\) | −33.8655 | + | 18.4920i | −1.30156 | + | 0.710704i | −0.972345 | − | 0.233551i | \(-0.924965\pi\) |
−0.329213 | + | 0.944256i | \(0.606784\pi\) | |||||||
\(678\) | −0.0696900 | + | 0.974393i | −0.00267643 | + | 0.0374213i | ||||
\(679\) | −11.6329 | + | 10.0799i | −0.446429 | + | 0.386833i | ||||
\(680\) | 1.73561 | + | 4.38937i | 0.0665578 | + | 0.168325i | ||||
\(681\) | −1.58040 | − | 0.721745i | −0.0605611 | − | 0.0276573i | ||||
\(682\) | −2.15552 | + | 0.468904i | −0.0825390 | + | 0.0179553i | ||||
\(683\) | 17.3029 | − | 31.6880i | 0.662079 | − | 1.21251i | −0.303608 | − | 0.952797i | \(-0.598191\pi\) |
0.965687 | − | 0.259710i | \(-0.0836269\pi\) | |||||||
\(684\) | 0.299333 | − | 2.08191i | 0.0114453 | − | 0.0796037i | ||||
\(685\) | 10.0518 | − | 3.16615i | 0.384060 | − | 0.120972i | ||||
\(686\) | 16.3869 | − | 2.35608i | 0.625655 | − | 0.0899557i | ||||
\(687\) | 0.108594 | − | 0.499200i | 0.00414313 | − | 0.0190457i | ||||
\(688\) | −6.12946 | + | 0.438388i | −0.233684 | + | 0.0167134i | ||||
\(689\) | 17.2600 | 0.657555 | ||||||||
\(690\) | −9.50550 | + | 4.96443i | −0.361868 | + | 0.188992i | ||||
\(691\) | 44.6041 | 1.69682 | 0.848410 | − | 0.529339i | \(-0.177560\pi\) | ||||
0.848410 | + | 0.529339i | \(0.177560\pi\) | |||||||
\(692\) | 12.8275 | − | 0.917444i | 0.487630 | − | 0.0348760i | ||||
\(693\) | −0.614267 | + | 2.82374i | −0.0233341 | + | 0.107265i | ||||
\(694\) | 25.0586 | − | 3.60289i | 0.951213 | − | 0.136764i | ||||
\(695\) | −19.3547 | + | 37.1541i | −0.734167 | + | 1.40933i | ||||
\(696\) | 0.735631 | − | 5.11643i | 0.0278840 | − | 0.193938i | ||||
\(697\) | −8.06793 | + | 14.7753i | −0.305595 | + | 0.559655i | ||||
\(698\) | 14.4324 | − | 3.13957i | 0.546273 | − | 0.118834i | ||||
\(699\) | 14.6573 | + | 6.69375i | 0.554388 | + | 0.253181i | ||||
\(700\) | −6.60075 | + | 1.70862i | −0.249485 | + | 0.0645797i | ||||
\(701\) | 32.4796 | − | 28.1437i | 1.22674 | − | 1.06297i | 0.230793 | − | 0.973003i | \(-0.425868\pi\) |
0.995944 | − | 0.0899706i | \(-0.0286773\pi\) | |||||||
\(702\) | 0.402245 | − | 5.62413i | 0.0151818 | − | 0.212269i | ||||
\(703\) | −16.1540 | + | 8.82073i | −0.609258 | + | 0.332680i | ||||
\(704\) | −0.880320 | + | 1.92763i | −0.0331783 | + | 0.0726503i | ||||
\(705\) | 4.40173 | − | 0.401429i | 0.165779 | − | 0.0151187i | ||||
\(706\) | 1.02718 | − | 0.301607i | 0.0386584 | − | 0.0113511i | ||||
\(707\) | −4.59498 | − | 6.13817i | −0.172812 | − | 0.230850i | ||||
\(708\) | −1.05534 | − | 0.393623i | −0.0396623 | − | 0.0147933i | ||||
\(709\) | 2.64756 | + | 18.4142i | 0.0994312 | + | 0.691559i | 0.977176 | + | 0.212431i | \(0.0681380\pi\) |
−0.877745 | + | 0.479128i | \(0.840953\pi\) | |||||||
\(710\) | 21.8338 | − | 10.4916i | 0.819406 | − | 0.393744i | ||||
\(711\) | 10.3094 | + | 8.93312i | 0.386632 | + | 0.335018i | ||||
\(712\) | −12.4171 | + | 12.4171i | −0.465352 | + | 0.465352i | ||||
\(713\) | 2.53734 | + | 4.29937i | 0.0950241 | + | 0.161013i | ||||
\(714\) | − | 2.87852i | − | 0.107726i | ||||||
\(715\) | 19.8464 | − | 17.8880i | 0.742213 | − | 0.668973i | ||||
\(716\) | 6.07169 | − | 3.90204i | 0.226910 | − | 0.145826i | ||||
\(717\) | 6.43017 | − | 8.58970i | 0.240139 | − | 0.320788i | ||||
\(718\) | −0.946383 | + | 2.53735i | −0.0353187 | + | 0.0946931i | ||||
\(719\) | −43.3179 | − | 6.22817i | −1.61548 | − | 0.232272i | −0.725486 | − | 0.688237i | \(-0.758385\pi\) |
−0.889998 | + | 0.455965i | \(0.849294\pi\) | |||||||
\(720\) | −1.81591 | − | 1.30478i | −0.0676751 | − | 0.0486264i | ||||
\(721\) | −18.6218 | − | 11.9675i | −0.693512 | − | 0.445693i | ||||
\(722\) | −13.6570 | + | 5.09381i | −0.508263 | + | 0.189572i | ||||
\(723\) | −8.82464 | − | 16.1611i | −0.328192 | − | 0.601039i | ||||
\(724\) | −6.57973 | − | 7.59342i | −0.244534 | − | 0.282207i | ||||
\(725\) | 11.6471 | + | 23.0721i | 0.432563 | + | 0.856875i | ||||
\(726\) | 6.24560 | + | 1.83387i | 0.231796 | + | 0.0680615i | ||||
\(727\) | 3.27405 | + | 8.77806i | 0.121428 | + | 0.325560i | 0.983415 | − | 0.181370i | \(-0.0580530\pi\) |
−0.861987 | + | 0.506930i | \(0.830780\pi\) | |||||||
\(728\) | 1.63441 | + | 7.51328i | 0.0605754 | + | 0.278461i | ||||
\(729\) | −0.281733 | − | 0.959493i | −0.0104345 | − | 0.0355368i | ||||
\(730\) | −0.685075 | − | 1.19833i | −0.0253557 | − | 0.0443520i | ||||
\(731\) | 5.38859 | + | 11.7994i | 0.199304 | + | 0.436415i | ||||
\(732\) | 0.645537 | + | 0.483243i | 0.0238597 | + | 0.0178612i | ||||
\(733\) | 5.16028 | + | 1.12255i | 0.190599 | + | 0.0414624i | 0.306852 | − | 0.951757i | \(-0.400724\pi\) |
−0.116252 | + | 0.993220i | \(0.537088\pi\) | |||||||
\(734\) | 3.37735 | − | 3.89767i | 0.124660 | − | 0.143866i | ||||
\(735\) | −11.4072 | − | 1.41313i | −0.420759 | − | 0.0521241i | ||||
\(736\) | 4.76714 | + | 0.523816i | 0.175719 | + | 0.0193081i | ||||
\(737\) | −24.0802 | − | 24.0802i | −0.887005 | − | 0.887005i | ||||
\(738\) | −0.568940 | − | 7.95482i | −0.0209430 | − | 0.292821i | ||||
\(739\) | −15.1429 | − | 23.5629i | −0.557042 | − | 0.866775i | 0.442508 | − | 0.896765i | \(-0.354089\pi\) |
−0.999550 | + | 0.0299899i | \(0.990452\pi\) | |||||||
\(740\) | 0.382443 | + | 19.5632i | 0.0140589 | + | 0.719159i | ||||
\(741\) | 10.7878 | − | 4.92662i | 0.396300 | − | 0.180984i | ||||
\(742\) | −3.34171 | + | 2.50157i | −0.122678 | + | 0.0918356i | ||||
\(743\) | −14.7384 | − | 8.04775i | −0.540698 | − | 0.295243i | 0.185598 | − | 0.982626i | \(-0.440578\pi\) |
−0.726296 | + | 0.687382i | \(0.758760\pi\) | |||||||
\(744\) | −0.562784 | + | 0.875710i | −0.0206327 | + | 0.0321051i | ||||
\(745\) | 2.06549 | + | 8.67497i | 0.0756739 | + | 0.317826i | ||||
\(746\) | 1.31304 | − | 4.47180i | 0.0480737 | − | 0.163724i | ||||
\(747\) | 1.48642 | + | 0.106311i | 0.0543851 | + | 0.00388970i | ||||
\(748\) | 4.46183 | + | 0.319116i | 0.163141 | + | 0.0116680i | ||||
\(749\) | 0.349201 | − | 1.18927i | 0.0127595 | − | 0.0434549i | ||||
\(750\) | 11.1794 | + | 0.142659i | 0.408215 | + | 0.00520917i | ||||
\(751\) | −21.4500 | + | 33.3768i | −0.782721 | + | 1.21794i | 0.189040 | + | 0.981969i | \(0.439462\pi\) |
−0.971761 | + | 0.235968i | \(0.924174\pi\) | |||||||
\(752\) | −1.73489 | − | 0.947322i | −0.0632650 | − | 0.0345453i | ||||
\(753\) | −7.82168 | + | 5.85523i | −0.285038 | + | 0.213377i | ||||
\(754\) | 26.5118 | − | 12.1075i | 0.965502 | − | 0.440930i | ||||
\(755\) | 38.8045 | + | 37.3164i | 1.41224 | + | 1.35808i | ||||
\(756\) | 0.737251 | + | 1.14718i | 0.0268136 | + | 0.0417227i | ||||
\(757\) | 1.89607 | + | 26.5105i | 0.0689139 | + | 0.963542i | 0.907845 | + | 0.419305i | \(0.137726\pi\) |
−0.838931 | + | 0.544237i | \(0.816819\pi\) | |||||||
\(758\) | −8.33766 | − | 8.33766i | −0.302838 | − | 0.302838i | ||||
\(759\) | 0.338956 | + | 10.1574i | 0.0123033 | + | 0.368689i | ||||
\(760\) | 0.578212 | − | 4.66748i | 0.0209739 | − | 0.169307i | ||||
\(761\) | −22.9650 | + | 26.5030i | −0.832479 | + | 0.960732i | −0.999683 | − | 0.0251902i | \(-0.991981\pi\) |
0.167203 | + | 0.985922i | \(0.446526\pi\) | |||||||
\(762\) | −12.9337 | − | 2.81356i | −0.468539 | − | 0.101924i | ||||
\(763\) | 17.4247 | + | 13.0440i | 0.630816 | + | 0.472223i | ||||
\(764\) | 4.45946 | + | 9.76485i | 0.161338 | + | 0.353280i | ||||
\(765\) | −1.24102 | + | 4.55399i | −0.0448692 | + | 0.164650i | ||||
\(766\) | 0.393457 | + | 1.33999i | 0.0142162 | + | 0.0484159i | ||||
\(767\) | −1.35000 | − | 6.20584i | −0.0487456 | − | 0.224080i | ||||
\(768\) | 0.349464 | + | 0.936950i | 0.0126102 | + | 0.0338093i | ||||
\(769\) | −23.8974 | − | 7.01691i | −0.861762 | − | 0.253036i | −0.179154 | − | 0.983821i | \(-0.557336\pi\) |
−0.682608 | + | 0.730785i | \(0.739154\pi\) | |||||||
\(770\) | −1.24987 | + | 6.33971i | −0.0450422 | + | 0.228467i | ||||
\(771\) | −15.6634 | − | 18.0765i | −0.564103 | − | 0.651010i | ||||
\(772\) | −0.853136 | − | 1.56240i | −0.0307051 | − | 0.0562321i | ||||
\(773\) | −28.9247 | + | 10.7884i | −1.04035 | + | 0.388030i | −0.810835 | − | 0.585275i | \(-0.800986\pi\) |
−0.229514 | + | 0.973305i | \(0.573714\pi\) | |||||||
\(774\) | −5.16960 | − | 3.32230i | −0.185818 | − | 0.119418i | ||||
\(775\) | −0.203420 | − | 5.20081i | −0.00730705 | − | 0.186819i | ||||
\(776\) | −11.1727 | − | 1.60640i | −0.401078 | − | 0.0576663i | ||||
\(777\) | 4.17011 | − | 11.1805i | 0.149602 | − | 0.401099i | ||||
\(778\) | 18.4556 | − | 24.6538i | 0.661664 | − | 0.883880i | ||||
\(779\) | 14.1114 | − | 9.06884i | 0.505593 | − | 0.324925i | ||||
\(780\) | 0.653476 | − | 12.5911i | 0.0233982 | − | 0.450834i | ||||
\(781\) | − | 22.9569i | − | 0.821463i | ||||||
\(782\) | −2.48060 | − | 9.81477i | −0.0887062 | − | 0.350976i | ||||
\(783\) | 3.65506 | − | 3.65506i | 0.130621 | − | 0.130621i | ||||
\(784\) | 3.88488 | + | 3.36626i | 0.138746 | + | 0.120224i | ||||
\(785\) | 5.59558 | + | 11.6447i | 0.199715 | + | 0.415619i | ||||
\(786\) | −1.69821 | − | 11.8113i | −0.0605733 | − | 0.421296i | ||||
\(787\) | 10.0805 | + | 3.75983i | 0.359331 | + | 0.134024i | 0.522645 | − | 0.852551i | \(-0.324945\pi\) |
−0.163313 | + | 0.986574i | \(0.552218\pi\) | |||||||
\(788\) | 12.4196 | + | 16.5906i | 0.442430 | + | 0.591017i | ||||
\(789\) | −8.18865 | + | 2.40440i | −0.291524 | + | 0.0855991i | ||||
\(790\) | 23.4385 | + | 19.5207i | 0.833903 | + | 0.694515i | ||||
\(791\) | 0.553389 | − | 1.21175i | 0.0196763 | − | 0.0430850i | ||||
\(792\) | −1.85992 | + | 1.01559i | −0.0660893 | + | 0.0360875i | ||||
\(793\) | −0.324361 | + | 4.53516i | −0.0115184 | + | 0.161048i | ||||
\(794\) | −10.5987 | + | 9.18384i | −0.376134 | + | 0.325922i | ||||
\(795\) | 6.36529 | − | 2.51692i | 0.225754 | − | 0.0892659i | ||||
\(796\) | −5.49324 | − | 2.50868i | −0.194703 | − | 0.0889177i | ||||
\(797\) | 27.8438 | − | 6.05705i | 0.986278 | − | 0.214552i | 0.309629 | − | 0.950858i | \(-0.399795\pi\) |
0.676649 | + | 0.736306i | \(0.263432\pi\) | |||||||
\(798\) | −1.37459 | + | 2.51737i | −0.0486598 | + | 0.0891138i | ||||
\(799\) | −0.593812 | + | 4.13006i | −0.0210076 | + | 0.146111i | ||||
\(800\) | −4.11676 | − | 2.83766i | −0.145549 | − | 0.100326i | ||||
\(801\) | −17.3818 | + | 2.49912i | −0.614154 | + | 0.0883021i | ||||
\(802\) | −0.362921 | + | 1.66832i | −0.0128152 | + | 0.0589104i | ||||
\(803\) | −1.30481 | + | 0.0933221i | −0.0460459 | + | 0.00329327i | ||||
\(804\) | −16.0700 | −0.566746 | ||||||||
\(805\) | 14.5108 | − | 1.81311i | 0.511439 | − | 0.0639036i | ||||
\(806\) | −5.86943 | −0.206742 | ||||||||
\(807\) | −26.9045 | + | 1.92425i | −0.947084 | + | 0.0677368i | ||||
\(808\) | 1.19520 | − | 5.49426i | 0.0420471 | − | 0.193287i | ||||
\(809\) | −30.8122 | + | 4.43013i | −1.08330 | + | 0.155755i | −0.660766 | − | 0.750592i | \(-0.729768\pi\) |
−0.422534 | + | 0.906347i | \(0.638859\pi\) | |||||||
\(810\) | −0.671787 | − | 2.13277i | −0.0236042 | − | 0.0749379i | ||||
\(811\) | 0.289843 | − | 2.01590i | 0.0101778 | − | 0.0707878i | −0.984100 | − | 0.177618i | \(-0.943161\pi\) |
0.994277 | + | 0.106830i | \(0.0340700\pi\) | |||||||
\(812\) | −3.37814 | + | 6.18660i | −0.118549 | + | 0.217107i | ||||
\(813\) | −5.04103 | + | 1.09661i | −0.176797 | + | 0.0384597i | ||||
\(814\) | 16.8680 | + | 7.70335i | 0.591222 | + | 0.270002i | ||||
\(815\) | 9.12105 | − | 21.0518i | 0.319496 | − | 0.737411i | ||||
\(816\) | 1.59529 | − | 1.38233i | 0.0558464 | − | 0.0483912i | ||||
\(817\) | 0.922067 | − | 12.8922i | 0.0322591 | − | 0.451041i | ||||
\(818\) | 1.29208 | − | 0.705527i | 0.0451764 | − | 0.0246682i | ||||
\(819\) | −3.19412 | + | 6.99415i | −0.111612 | + | 0.244396i | ||||
\(820\) | −1.61961 | − | 17.7593i | −0.0565592 | − | 0.620180i | ||||
\(821\) | −47.6283 | + | 13.9849i | −1.66224 | + | 0.488077i | −0.971897 | − | 0.235407i | \(-0.924358\pi\) |
−0.690341 | + | 0.723484i | \(0.742539\pi\) | |||||||
\(822\) | −2.82441 | − | 3.77298i | −0.0985127 | − | 0.131598i | ||||
\(823\) | −3.05121 | − | 1.13804i | −0.106359 | − | 0.0396697i | 0.295722 | − | 0.955274i | \(-0.404440\pi\) |
−0.402080 | + | 0.915604i | \(0.631713\pi\) | |||||||
\(824\) | −2.31014 | − | 16.0674i | −0.0804775 | − | 0.559734i | ||||
\(825\) | 4.71062 | − | 9.49095i | 0.164003 | − | 0.330432i | ||||
\(826\) | 1.16081 | + | 1.00585i | 0.0403899 | + | 0.0349980i | ||||
\(827\) | 16.7074 | − | 16.7074i | 0.580973 | − | 0.580973i | −0.354198 | − | 0.935171i | \(-0.615246\pi\) |
0.935171 | + | 0.354198i | \(0.115246\pi\) | |||||||
\(828\) | 3.50238 | + | 3.27618i | 0.121716 | + | 0.113855i | ||||
\(829\) | 23.6448i | 0.821217i | 0.911812 | + | 0.410608i | \(0.134684\pi\) | ||||
−0.911812 | + | 0.410608i | \(0.865316\pi\) | |||||||
\(830\) | 3.32774 | + | 0.172709i | 0.115507 | + | 0.00599481i | ||||
\(831\) | −5.23805 | + | 3.36629i | −0.181706 | + | 0.116775i | ||||
\(832\) | −3.37902 | + | 4.51385i | −0.117147 | + | 0.156489i | ||||
\(833\) | 3.79197 | − | 10.1667i | 0.131384 | − | 0.352254i | ||||
\(834\) | 18.5445 | + | 2.66629i | 0.642142 | + | 0.0923261i | ||||
\(835\) | 2.22152 | − | 0.363858i | 0.0768790 | − | 0.0125918i | ||||
\(836\) | −3.74964 | − | 2.40975i | −0.129684 | − | 0.0833428i | ||||
\(837\) | −0.975325 | + | 0.363778i | −0.0337122 | + | 0.0125740i | ||||
\(838\) | −5.34609 | − | 9.79063i | −0.184678 | − | 0.338212i | ||||
\(839\) | −14.0059 | − | 16.1637i | −0.483538 | − | 0.558033i | 0.460589 | − | 0.887613i | \(-0.347638\pi\) |
−0.944127 | + | 0.329581i | \(0.893093\pi\) | |||||||
\(840\) | 1.69837 | + | 2.53247i | 0.0585992 | + | 0.0873786i | ||||
\(841\) | −2.18860 | − | 0.642632i | −0.0754691 | − | 0.0221597i | ||||
\(842\) | −3.76286 | − | 10.0886i | −0.129677 | − | 0.347677i | ||||
\(843\) | 1.68096 | + | 7.72726i | 0.0578954 | + | 0.266141i | ||||
\(844\) | 2.69532 | + | 9.17943i | 0.0927769 | + | 0.315969i | ||||
\(845\) | 36.4807 | − | 20.8558i | 1.25498 | − | 0.717461i | ||||
\(846\) | −0.821143 | − | 1.79805i | −0.0282315 | − | 0.0618183i | ||||
\(847\) | −7.10596 | − | 5.31945i | −0.244164 | − | 0.182779i | ||||
\(848\) | −2.99115 | − | 0.650685i | −0.102717 | − | 0.0223446i | ||||
\(849\) | 1.76097 | − | 2.03227i | 0.0604365 | − | 0.0697474i | ||||
\(850\) | −2.57545 | + | 10.2353i | −0.0883372 | + | 0.351069i | ||||
\(851\) | 4.58372 | − | 41.7154i | 0.157128 | − | 1.42999i | ||||
\(852\) | −7.66020 | − | 7.66020i | −0.262434 | − | 0.262434i | ||||
\(853\) | 3.15722 | + | 44.1437i | 0.108101 | + | 1.51145i | 0.705041 | + | 0.709166i | \(0.250928\pi\) |
−0.596940 | + | 0.802286i | \(0.703617\pi\) | |||||||
\(854\) | −0.594501 | − | 0.925062i | −0.0203434 | − | 0.0316550i | ||||
\(855\) | 3.26000 | − | 3.39000i | 0.111490 | − | 0.115935i | ||||
\(856\) | 0.826794 | − | 0.377584i | 0.0282592 | − | 0.0129056i | ||||
\(857\) | −38.8151 | + | 29.0566i | −1.32590 | + | 0.992556i | −0.327030 | + | 0.945014i | \(0.606048\pi\) |
−0.998869 | + | 0.0475417i | \(0.984861\pi\) | |||||||
\(858\) | −10.4871 | − | 5.72641i | −0.358025 | − | 0.195496i | ||||
\(859\) | −17.8696 | + | 27.8056i | −0.609702 | + | 0.948714i | 0.389910 | + | 0.920853i | \(0.372506\pi\) |
−0.999612 | + | 0.0278614i | \(0.991130\pi\) | |||||||
\(860\) | −11.7026 | − | 7.20154i | −0.399055 | − | 0.245570i | ||||
\(861\) | −3.06395 | + | 10.4349i | −0.104419 | + | 0.355619i | ||||
\(862\) | −0.691755 | − | 0.0494753i | −0.0235613 | − | 0.00168514i | ||||
\(863\) | −47.1734 | − | 3.37391i | −1.60580 | − | 0.114849i | −0.760572 | − | 0.649254i | \(-0.775081\pi\) |
−0.845229 | + | 0.534405i | \(0.820536\pi\) | |||||||
\(864\) | −0.281733 | + | 0.959493i | −0.00958474 | + | 0.0326426i | ||||
\(865\) | 24.4908 | + | 15.0711i | 0.832711 | + | 0.512434i | ||||
\(866\) | 3.87263 | − | 6.02592i | 0.131597 | − | 0.204769i | ||||
\(867\) | 11.0098 | + | 6.01180i | 0.373912 | + | 0.204171i | ||||
\(868\) | 1.13638 | − | 0.850683i | 0.0385712 | − | 0.0288741i | ||||
\(869\) | 26.2953 | − | 12.0087i | 0.892007 | − | 0.407366i | ||||
\(870\) | 8.01167 | − | 8.33116i | 0.271621 | − | 0.282453i | ||||
\(871\) | −48.9878 | − | 76.2266i | −1.65989 | − | 2.58284i | ||||
\(872\) | 1.13868 | + | 15.9209i | 0.0385607 | + | 0.539149i | ||||
\(873\) | −7.98156 | − | 7.98156i | −0.270135 | − | 0.270135i | ||||
\(874\) | −2.51750 | + | 9.76794i | −0.0851556 | + | 0.330405i | ||||
\(875\) | −14.2158 | − | 5.50984i | −0.480581 | − | 0.186267i | ||||
\(876\) | −0.404247 | + | 0.466526i | −0.0136582 | + | 0.0157625i | ||||
\(877\) | −46.2216 | − | 10.0549i | −1.56079 | − | 0.339530i | −0.652475 | − | 0.757811i | \(-0.726269\pi\) |
−0.908318 | + | 0.418281i | \(0.862633\pi\) | |||||||
\(878\) | 0.782429 | + | 0.585719i | 0.0264057 | + | 0.0197670i | ||||
\(879\) | 6.08158 | + | 13.3168i | 0.205127 | + | 0.449165i | ||||
\(880\) | −4.11372 | + | 2.35179i | −0.138674 | + | 0.0792787i | ||||
\(881\) | 10.1715 | + | 34.6408i | 0.342685 | + | 1.16708i | 0.932992 | + | 0.359898i | \(0.117189\pi\) |
−0.590307 | + | 0.807179i | \(0.700993\pi\) | |||||||
\(882\) | 1.09268 | + | 5.02295i | 0.0367923 | + | 0.169132i | ||||
\(883\) | −12.1700 | − | 32.6291i | −0.409554 | − | 1.09806i | −0.964015 | − | 0.265846i | \(-0.914349\pi\) |
0.554462 | − | 0.832209i | \(-0.312924\pi\) | |||||||
\(884\) | 11.4200 | + | 3.35322i | 0.384097 | + | 0.112781i | ||||
\(885\) | −1.40282 | − | 2.09178i | −0.0471554 | − | 0.0703144i | ||||
\(886\) | 18.5436 | + | 21.4005i | 0.622986 | + | 0.718964i | ||||
\(887\) | −21.9545 | − | 40.2067i | −0.737161 | − | 1.35001i | −0.929552 | − | 0.368691i | \(-0.879806\pi\) |
0.192392 | − | 0.981318i | \(-0.438376\pi\) | |||||||
\(888\) | 8.19889 | − | 3.05803i | 0.275137 | − | 0.102621i | ||||
\(889\) | 15.1844 | + | 9.75840i | 0.509267 | + | 0.327286i | ||||
\(890\) | −38.7501 | + | 6.34680i | −1.29891 | + | 0.212745i | ||||
\(891\) | −2.09756 | − | 0.301584i | −0.0702710 | − | 0.0101034i | ||||
\(892\) | 9.21779 | − | 24.7139i | 0.308634 | − | 0.827481i | ||||
\(893\) | 2.49155 | − | 3.32832i | 0.0833764 | − | 0.111378i | ||||
\(894\) | 3.35493 | − | 2.15608i | 0.112206 | − | 0.0721102i | ||||
\(895\) | 16.1170 | + | 0.836468i | 0.538731 | + | 0.0279600i | ||||
\(896\) | − | 1.36366i | − | 0.0455567i | ||||||
\(897\) | −4.86357 | + | 26.6003i | −0.162390 | + | 0.888158i | ||||
\(898\) | 18.6419 | − | 18.6419i | 0.622089 | − | 0.622089i | ||||
\(899\) | −4.06650 | − | 3.52365i | −0.135626 | − | 0.117520i | ||||
\(900\) | −1.59509 | − | 4.73874i | −0.0531696 | − | 0.157958i | ||||
\(901\) | 0.919583 | + | 6.39584i | 0.0306358 | + | 0.213076i | ||||
\(902\) | −15.8348 | − | 5.90608i | −0.527242 | − | 0.196651i | ||||
\(903\) | 5.02186 | + | 6.70842i | 0.167117 | + | 0.223242i | ||||
\(904\) | 0.937312 | − | 0.275220i | 0.0311745 | − | 0.00915367i | ||||
\(905\) | −2.04047 | − | 22.3741i | −0.0678276 | − | 0.743741i | ||||
\(906\) | 10.0016 | − | 21.9004i | 0.332280 | − | 0.727593i | ||||
\(907\) | 4.29267 | − | 2.34398i | 0.142536 | − | 0.0778305i | −0.406398 | − | 0.913696i | \(-0.633216\pi\) |
0.548934 | + | 0.835865i | \(0.315034\pi\) | |||||||
\(908\) | −0.123945 | + | 1.73298i | −0.00411326 | + | 0.0575109i | ||||
\(909\) | 4.24939 | − | 3.68212i | 0.140943 | − | 0.122128i | ||||
\(910\) | −6.83523 | + | 15.7760i | −0.226586 | + | 0.522970i | ||||
\(911\) | −30.8803 | − | 14.1025i | −1.02311 | − | 0.467238i | −0.168055 | − | 0.985778i | \(-0.553749\pi\) |
−0.855054 | + | 0.518539i | \(0.826476\pi\) | |||||||
\(912\) | −2.05525 | + | 0.447092i | −0.0680560 | + | 0.0148047i | ||||
\(913\) | 1.51345 | − | 2.77167i | 0.0500878 | − | 0.0917290i | ||||
\(914\) | −5.15694 | + | 35.8673i | −0.170576 | + | 1.18638i | ||||
\(915\) | 0.541713 | + | 1.71981i | 0.0179085 | + | 0.0568553i | ||||
\(916\) | −0.505675 | + | 0.0727051i | −0.0167080 | + | 0.00240225i | ||||
\(917\) | −3.45892 | + | 15.9004i | −0.114224 | + | 0.525078i | ||||
\(918\) | 2.10550 | − | 0.150588i | 0.0694917 | − | 0.00497015i | ||||
\(919\) | 19.6337 | 0.647655 | 0.323828 | − | 0.946116i | \(-0.395030\pi\) | ||||
0.323828 | + | 0.946116i | \(0.395030\pi\) | |||||||
\(920\) | 7.97325 | + | 7.17128i | 0.262870 | + | 0.236430i | ||||
\(921\) | −12.8059 | −0.421968 | ||||||||
\(922\) | 9.50381 | − | 0.679726i | 0.312991 | − | 0.0223856i | ||||
\(923\) | 12.9841 | − | 59.6868i | 0.427376 | − | 1.96461i | ||||
\(924\) | 2.86037 | − | 0.411258i | 0.0940991 | − | 0.0135294i | ||||
\(925\) | −24.8313 | + | 36.0242i | −0.816448 | + | 1.18447i | ||||
\(926\) | 3.02325 | − | 21.0272i | 0.0993502 | − | 0.690996i | ||||
\(927\) | 7.77946 | − | 14.2470i | 0.255511 | − | 0.467933i | ||||
\(928\) | −5.05091 | + | 1.09876i | −0.165804 | + | 0.0360685i | ||||
\(929\) | −30.1047 | − | 13.7484i | −0.987703 | − | 0.451069i | −0.144991 | − | 0.989433i | \(-0.546315\pi\) |
−0.842712 | + | 0.538364i | \(0.819042\pi\) | |||||||
\(930\) | −2.16458 | + | 0.855902i | −0.0709793 | + | 0.0280661i | ||||
\(931\) | −8.17112 | + | 7.08031i | −0.267798 | + | 0.232048i | ||||
\(932\) | 1.14952 | − | 16.0723i | 0.0376537 | − | 0.526467i | ||||
\(933\) | 11.5454 | − | 6.30426i | 0.377979 | − | 0.206392i | ||||
\(934\) | −15.6141 | + | 34.1901i | −0.510909 | + | 1.11873i | ||||
\(935\) | 7.68592 | + | 6.40120i | 0.251356 | + | 0.209342i | ||||
\(936\) | −5.41009 | + | 1.58855i | −0.176834 | + | 0.0519233i | ||||
\(937\) | 33.8683 | + | 45.2428i | 1.10643 | + | 1.47802i | 0.861001 | + | 0.508603i | \(0.169838\pi\) |
0.245429 | + | 0.969415i | \(0.421071\pi\) | |||||||
\(938\) | 20.5324 | + | 7.65818i | 0.670406 | + | 0.250048i | ||||
\(939\) | −2.86925 | − | 19.9561i | −0.0936344 | − | 0.651242i | ||||
\(940\) | −1.91436 | − | 3.98391i | −0.0624397 | − | 0.129941i | ||||
\(941\) | 9.11489 | + | 7.89810i | 0.297137 | + | 0.257471i | 0.790651 | − | 0.612267i | \(-0.209742\pi\) |
−0.493514 | + | 0.869738i | \(0.664288\pi\) | |||||||
\(942\) | 4.08547 | − | 4.08547i | 0.133112 | − | 0.133112i | ||||
\(943\) | −1.45465 | + | 38.2198i | −0.0473698 | + | 1.24461i | ||||
\(944\) | 1.12636i | 0.0366600i | ||||||||
\(945\) | −0.158042 | + | 3.04514i | −0.00514111 | + | 0.0990584i | ||||
\(946\) | −10.9551 | + | 7.04040i | −0.356180 | + | 0.228903i | ||||
\(947\) | 4.92613 | − | 6.58054i | 0.160078 | − | 0.213839i | −0.713330 | − | 0.700828i | \(-0.752814\pi\) |
0.873408 | + | 0.486989i | \(0.161905\pi\) | |||||||
\(948\) | 4.76713 | − | 12.7812i | 0.154829 | − | 0.415113i | ||||
\(949\) | −3.44523 | − | 0.495349i | −0.111837 | − | 0.0160797i | ||||
\(950\) | 7.14002 | − | 7.72129i | 0.231653 | − | 0.250512i | ||||
\(951\) | 15.2235 | + | 9.78358i | 0.493657 | + | 0.317254i | ||||
\(952\) | −2.69703 | + | 1.00594i | −0.0874111 | + | 0.0326027i | ||||
\(953\) | −7.67902 | − | 14.0631i | −0.248748 | − | 0.455548i | 0.723234 | − | 0.690603i | \(-0.242655\pi\) |
−0.971982 | + | 0.235055i | \(0.924473\pi\) | |||||||
\(954\) | −2.00460 | − | 2.31343i | −0.0649013 | − | 0.0749001i | ||||
\(955\) | −4.64301 | + | 23.5508i | −0.150244 | + | 0.762084i | ||||
\(956\) | −10.2952 | − | 3.02295i | −0.332971 | − | 0.0977692i | ||||
\(957\) | −3.82799 | − | 10.2632i | −0.123741 | − | 0.331764i | ||||
\(958\) | −6.78449 | − | 31.1878i | −0.219197 | − | 1.00763i | ||||
\(959\) | 1.81069 | + | 6.16664i | 0.0584702 | + | 0.199131i | ||||
\(960\) | −0.587919 | + | 2.15739i | −0.0189750 | + | 0.0696296i | ||||
\(961\) | −12.4277 | − | 27.2129i | −0.400894 | − | 0.877836i | ||||
\(962\) | 39.4990 | + | 29.5686i | 1.27350 | + | 0.953328i | ||||
\(963\) | 0.888161 | + | 0.193208i | 0.0286206 | + | 0.00622602i | ||||
\(964\) | −12.0583 | + | 13.9160i | −0.388371 | + | 0.448204i | ||||
\(965\) | 0.489373 | − | 3.95035i | 0.0157535 | − | 0.127166i | ||||
\(966\) | −2.91366 | − | 5.85497i | −0.0937456 | − | 0.188381i | ||||
\(967\) | 18.7717 | + | 18.7717i | 0.603658 | + | 0.603658i | 0.941281 | − | 0.337623i | \(-0.109623\pi\) |
−0.337623 | + | 0.941281i | \(0.609623\pi\) | |||||||
\(968\) | −0.464366 | − | 6.49269i | −0.0149253 | − | 0.208683i | ||||
\(969\) | 2.40035 | + | 3.73502i | 0.0771105 | + | 0.119986i | ||||
\(970\) | −18.1927 | − | 17.4951i | −0.584133 | − | 0.561733i | ||||
\(971\) | 1.45944 | − | 0.666504i | 0.0468357 | − | 0.0213891i | −0.391859 | − | 0.920025i | \(-0.628168\pi\) |
0.438695 | + | 0.898636i | \(0.355441\pi\) | |||||||
\(972\) | −0.800541 | + | 0.599278i | −0.0256774 | + | 0.0192218i | ||||
\(973\) | −22.4233 | − | 12.2440i | −0.718858 | − | 0.392526i | ||||
\(974\) | −4.58445 | + | 7.13354i | −0.146895 | + | 0.228573i | ||||
\(975\) | 17.6153 | − | 22.0117i | 0.564141 | − | 0.704939i | ||||
\(976\) | 0.227182 | − | 0.773712i | 0.00727193 | − | 0.0247659i | ||||
\(977\) | −9.65324 | − | 0.690413i | −0.308834 | − | 0.0220883i | −0.0839381 | − | 0.996471i | \(-0.526750\pi\) |
−0.224896 | + | 0.974383i | \(0.572204\pi\) | |||||||
\(978\) | −10.2342 | − | 0.731963i | −0.327253 | − | 0.0234056i | ||||
\(979\) | −10.4841 | + | 35.7056i | −0.335074 | + | 1.14116i | ||||
\(980\) | 2.66236 | + | 11.1818i | 0.0850459 | + | 0.357188i | ||||
\(981\) | −8.62946 | + | 13.4277i | −0.275518 | + | 0.428714i | ||||
\(982\) | 21.8105 | + | 11.9094i | 0.696002 | + | 0.380046i | ||||
\(983\) | 30.6385 | − | 22.9357i | 0.977217 | − | 0.731536i | 0.0139009 | − | 0.999903i | \(-0.495575\pi\) |
0.963317 | + | 0.268368i | \(0.0864842\pi\) | |||||||
\(984\) | −7.25445 | + | 3.31299i | −0.231263 | + | 0.105614i | ||||
\(985\) | 0.905748 | + | 46.3321i | 0.0288595 | + | 1.47626i | ||||
\(986\) | 5.89904 | + | 9.17908i | 0.187864 | + | 0.292322i | ||||
\(987\) | 0.192296 | + | 2.68866i | 0.00612086 | + | 0.0855808i | ||||
\(988\) | −8.38595 | − | 8.38595i | −0.266793 | − | 0.266793i | ||||
\(989\) | 22.9039 | + | 18.5458i | 0.728303 | + | 0.589722i | ||||
\(990\) | −4.70258 | − | 0.582560i | −0.149458 | − | 0.0185150i | ||||
\(991\) | 20.3290 | − | 23.4609i | 0.645771 | − | 0.745260i | −0.334613 | − | 0.942356i | \(-0.608606\pi\) |
0.980384 | + | 0.197096i | \(0.0631510\pi\) | |||||||
\(992\) | 1.01717 | + | 0.221272i | 0.0322951 | + | 0.00702538i | ||||
\(993\) | 4.45924 | + | 3.33815i | 0.141510 | + | 0.105933i | ||||
\(994\) | 6.13683 | + | 13.4378i | 0.194648 | + | 0.426220i | ||||
\(995\) | −6.70197 | − | 11.7230i | −0.212467 | − | 0.371645i | ||||
\(996\) | −0.419841 | − | 1.42985i | −0.0133032 | − | 0.0453065i | ||||
\(997\) | 12.3890 | + | 56.9512i | 0.392363 | + | 1.80366i | 0.572369 | + | 0.819996i | \(0.306025\pi\) |
−0.180006 | + | 0.983665i | \(0.557612\pi\) | |||||||
\(998\) | 9.67022 | + | 25.9269i | 0.306106 | + | 0.820701i | ||||
\(999\) | 8.39616 | + | 2.46534i | 0.265643 | + | 0.0779998i |
(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 | 690.2.w.b.7.6 | ✓ | 240 | |
5.3 | odd | 4 | inner | 690.2.w.b.283.10 | yes | 240 | |
23.10 | odd | 22 | inner | 690.2.w.b.217.10 | yes | 240 | |
115.33 | even | 44 | inner | 690.2.w.b.493.6 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.w.b.7.6 | ✓ | 240 | 1.1 | even | 1 | trivial | |
690.2.w.b.217.10 | yes | 240 | 23.10 | odd | 22 | inner | |
690.2.w.b.283.10 | yes | 240 | 5.3 | odd | 4 | inner | |
690.2.w.b.493.6 | yes | 240 | 115.33 | even | 44 | inner |