Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [416,2,Mod(53,416)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(416, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 5, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("416.53");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 416 = 2^{5} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 416.bf (of order \(8\), degree \(4\), 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: | \(3.32177672409\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 53.16 | ||
Character | \(\chi\) | \(=\) | 416.53 |
Dual form | 416.2.bf.a.157.16 |
$q$-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 \(\left(\mathbb{Z}/416\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(287\) | \(353\) |
\(\chi(n)\) | \(e\left(\frac{5}{8}\right)\) | \(1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.738912 | − | 1.20582i | −0.522490 | − | 0.852645i | ||||
\(3\) | 2.63272 | − | 1.09051i | 1.52000 | − | 0.629605i | 0.542409 | − | 0.840115i | \(-0.317513\pi\) |
0.977592 | + | 0.210510i | \(0.0675125\pi\) | |||||||
\(4\) | −0.908017 | + | 1.78199i | −0.454008 | + | 0.890997i | ||||
\(5\) | −0.0873689 | + | 0.210927i | −0.0390726 | + | 0.0943295i | −0.942211 | − | 0.335020i | \(-0.891257\pi\) |
0.903139 | + | 0.429349i | \(0.141257\pi\) | |||||||
\(6\) | −3.26031 | − | 2.36880i | −1.33101 | − | 0.967059i | ||||
\(7\) | 0.671813 | + | 0.671813i | 0.253922 | + | 0.253922i | 0.822576 | − | 0.568655i | \(-0.192536\pi\) |
−0.568655 | + | 0.822576i | \(0.692536\pi\) | |||||||
\(8\) | 2.81971 | − | 0.221831i | 0.996920 | − | 0.0784290i | ||||
\(9\) | 3.62067 | − | 3.62067i | 1.20689 | − | 1.20689i | ||||
\(10\) | 0.318899 | − | 0.0505053i | 0.100845 | − | 0.0159712i | ||||
\(11\) | 1.83927 | + | 0.761850i | 0.554560 | + | 0.229706i | 0.642322 | − | 0.766435i | \(-0.277971\pi\) |
−0.0877615 | + | 0.996142i | \(0.527971\pi\) | |||||||
\(12\) | −0.447274 | + | 5.68169i | −0.129117 | + | 1.64016i | ||||
\(13\) | 0.382683 | + | 0.923880i | 0.106137 | + | 0.256238i | ||||
\(14\) | 0.313677 | − | 1.30650i | 0.0838336 | − | 0.349177i | ||||
\(15\) | 0.650588i | 0.167981i | ||||||||
\(16\) | −2.35101 | − | 3.23616i | −0.587753 | − | 0.809041i | ||||
\(17\) | − | 5.13143i | − | 1.24455i | −0.782797 | − | 0.622277i | \(-0.786208\pi\) | ||
0.782797 | − | 0.622277i | \(-0.213792\pi\) | |||||||
\(18\) | −7.04125 | − | 1.69053i | −1.65964 | − | 0.398462i | ||||
\(19\) | −0.867154 | − | 2.09349i | −0.198939 | − | 0.480281i | 0.792655 | − | 0.609670i | \(-0.208698\pi\) |
−0.991594 | + | 0.129390i | \(0.958698\pi\) | |||||||
\(20\) | −0.296539 | − | 0.347216i | −0.0663081 | − | 0.0776399i | ||||
\(21\) | 2.50131 | + | 1.03608i | 0.545831 | + | 0.226091i | ||||
\(22\) | −0.440402 | − | 2.78077i | −0.0938941 | − | 0.592862i | ||||
\(23\) | 1.36720 | − | 1.36720i | 0.285081 | − | 0.285081i | −0.550050 | − | 0.835132i | \(-0.685391\pi\) |
0.835132 | + | 0.550050i | \(0.185391\pi\) | |||||||
\(24\) | 7.18160 | − | 3.65894i | 1.46594 | − | 0.746877i | ||||
\(25\) | 3.49868 | + | 3.49868i | 0.699735 | + | 0.699735i | ||||
\(26\) | 0.831265 | − | 1.14411i | 0.163025 | − | 0.224379i | ||||
\(27\) | 2.31232 | − | 5.58243i | 0.445006 | − | 1.07434i | ||||
\(28\) | −1.80719 | + | 0.587150i | −0.341526 | + | 0.110961i | ||||
\(29\) | 0.698514 | − | 0.289334i | 0.129711 | − | 0.0537279i | −0.316884 | − | 0.948464i | \(-0.602637\pi\) |
0.446595 | + | 0.894736i | \(0.352637\pi\) | |||||||
\(30\) | 0.784494 | − | 0.480728i | 0.143228 | − | 0.0877684i | ||||
\(31\) | −7.92649 | −1.42364 | −0.711820 | − | 0.702362i | \(-0.752129\pi\) | ||||
−0.711820 | + | 0.702362i | \(0.752129\pi\) | |||||||
\(32\) | −2.16505 | + | 5.22614i | −0.382730 | + | 0.923860i | ||||
\(33\) | 5.67308 | 0.987556 | ||||||||
\(34\) | −6.18760 | + | 3.79168i | −1.06116 | + | 0.650267i | ||||
\(35\) | −0.200399 | + | 0.0830081i | −0.0338737 | + | 0.0140309i | ||||
\(36\) | 3.16439 | + | 9.73966i | 0.527398 | + | 1.62328i | ||||
\(37\) | −1.86885 | + | 4.51179i | −0.307236 | + | 0.741734i | 0.692556 | + | 0.721364i | \(0.256485\pi\) |
−0.999793 | + | 0.0203703i | \(0.993515\pi\) | |||||||
\(38\) | −1.88363 | + | 2.59254i | −0.305566 | + | 0.420566i | ||||
\(39\) | 2.01499 | + | 2.01499i | 0.322657 | + | 0.322657i | ||||
\(40\) | −0.199565 | + | 0.614136i | −0.0315540 | + | 0.0971034i | ||||
\(41\) | −3.33035 | + | 3.33035i | −0.520114 | + | 0.520114i | −0.917606 | − | 0.397492i | \(-0.869881\pi\) |
0.397492 | + | 0.917606i | \(0.369881\pi\) | |||||||
\(42\) | −0.598925 | − | 3.78171i | −0.0924161 | − | 0.583531i | ||||
\(43\) | −0.405115 | − | 0.167804i | −0.0617794 | − | 0.0255899i | 0.351580 | − | 0.936158i | \(-0.385645\pi\) |
−0.413359 | + | 0.910568i | \(0.635645\pi\) | |||||||
\(44\) | −3.02770 | + | 2.58579i | −0.456443 | + | 0.389823i | ||||
\(45\) | 0.447364 | + | 1.08003i | 0.0666891 | + | 0.161002i | ||||
\(46\) | −2.65884 | − | 0.638360i | −0.392025 | − | 0.0941211i | ||||
\(47\) | 8.23786i | 1.20162i | 0.799393 | + | 0.600808i | \(0.205154\pi\) | ||||
−0.799393 | + | 0.600808i | \(0.794846\pi\) | |||||||
\(48\) | −9.71861 | − | 5.95611i | −1.40276 | − | 0.859690i | ||||
\(49\) | − | 6.09733i | − | 0.871048i | ||||||
\(50\) | 1.63357 | − | 6.80400i | 0.231021 | − | 0.962231i | ||||
\(51\) | −5.59586 | − | 13.5096i | −0.783578 | − | 1.89172i | ||||
\(52\) | −1.99383 | − | 0.156958i | −0.276495 | − | 0.0217662i | ||||
\(53\) | −0.0443521 | − | 0.0183712i | −0.00609223 | − | 0.00252348i | 0.379635 | − | 0.925136i | \(-0.376049\pi\) |
−0.385727 | + | 0.922613i | \(0.626049\pi\) | |||||||
\(54\) | −8.44003 | + | 1.33668i | −1.14854 | + | 0.181899i | ||||
\(55\) | −0.321390 | + | 0.321390i | −0.0433362 | + | 0.0433362i | ||||
\(56\) | 2.04335 | + | 1.74529i | 0.273054 | + | 0.233225i | ||||
\(57\) | −4.56594 | − | 4.56594i | −0.604774 | − | 0.604774i | ||||
\(58\) | −0.865026 | − | 0.628491i | −0.113583 | − | 0.0825250i | ||||
\(59\) | 3.03776 | − | 7.33381i | 0.395483 | − | 0.954781i | −0.593240 | − | 0.805026i | \(-0.702152\pi\) |
0.988723 | − | 0.149755i | \(-0.0478485\pi\) | |||||||
\(60\) | −1.15934 | − | 0.590745i | −0.149671 | − | 0.0762648i | ||||
\(61\) | −7.56600 | + | 3.13394i | −0.968727 | + | 0.401260i | −0.810238 | − | 0.586101i | \(-0.800662\pi\) |
−0.158489 | + | 0.987361i | \(0.550662\pi\) | |||||||
\(62\) | 5.85699 | + | 9.55795i | 0.743838 | + | 1.21386i | ||||
\(63\) | 4.86484 | 0.612912 | ||||||||
\(64\) | 7.90158 | − | 1.25100i | 0.987698 | − | 0.156375i | ||||
\(65\) | −0.228306 | −0.0283179 | ||||||||
\(66\) | −4.19191 | − | 6.84072i | −0.515988 | − | 0.842035i | ||||
\(67\) | −4.60860 | + | 1.90895i | −0.563031 | + | 0.233215i | −0.646000 | − | 0.763337i | \(-0.723560\pi\) |
0.0829697 | + | 0.996552i | \(0.473560\pi\) | |||||||
\(68\) | 9.14418 | + | 4.65943i | 1.10890 | + | 0.565038i | ||||
\(69\) | 2.10851 | − | 5.09040i | 0.253835 | − | 0.612812i | ||||
\(70\) | 0.248171 | + | 0.180310i | 0.0296621 | + | 0.0215512i | ||||
\(71\) | 6.17364 | + | 6.17364i | 0.732676 | + | 0.732676i | 0.971149 | − | 0.238473i | \(-0.0766469\pi\) |
−0.238473 | + | 0.971149i | \(0.576647\pi\) | |||||||
\(72\) | 9.40609 | − | 11.0124i | 1.10852 | − | 1.29783i | ||||
\(73\) | −10.5523 | + | 10.5523i | −1.23505 | + | 1.23505i | −0.273054 | + | 0.961999i | \(0.588034\pi\) |
−0.961999 | + | 0.273054i | \(0.911966\pi\) | |||||||
\(74\) | 6.82134 | − | 1.08032i | 0.792964 | − | 0.125585i | ||||
\(75\) | 13.0264 | + | 5.39570i | 1.50415 | + | 0.623041i | ||||
\(76\) | 4.51799 | + | 0.355665i | 0.518249 | + | 0.0407976i | ||||
\(77\) | 0.723824 | + | 1.74747i | 0.0824874 | + | 0.199142i | ||||
\(78\) | 0.940822 | − | 3.91863i | 0.106527 | − | 0.443698i | ||||
\(79\) | − | 7.43164i | − | 0.836125i | −0.908418 | − | 0.418062i | \(-0.862709\pi\) | ||
0.908418 | − | 0.418062i | \(-0.137291\pi\) | |||||||
\(80\) | 0.888000 | − | 0.213152i | 0.0992814 | − | 0.0238311i | ||||
\(81\) | − | 1.85735i | − | 0.206372i | ||||||
\(82\) | 6.47665 | + | 1.55498i | 0.715227 | + | 0.171718i | ||||
\(83\) | −5.62112 | − | 13.5706i | −0.616999 | − | 1.48957i | −0.855172 | − | 0.518344i | \(-0.826549\pi\) |
0.238174 | − | 0.971223i | \(-0.423451\pi\) | |||||||
\(84\) | −4.11752 | + | 3.51655i | −0.449258 | + | 0.383687i | ||||
\(85\) | 1.08236 | + | 0.448327i | 0.117398 | + | 0.0486279i | ||||
\(86\) | 0.0970024 | + | 0.612489i | 0.0104600 | + | 0.0660464i | ||||
\(87\) | 1.52347 | − | 1.52347i | 0.163333 | − | 0.163333i | ||||
\(88\) | 5.35521 | + | 1.74019i | 0.570868 | + | 0.185505i | ||||
\(89\) | 7.95071 | + | 7.95071i | 0.842774 | + | 0.842774i | 0.989219 | − | 0.146445i | \(-0.0467832\pi\) |
−0.146445 | + | 0.989219i | \(0.546783\pi\) | |||||||
\(90\) | 0.971765 | − | 1.33749i | 0.102433 | − | 0.140984i | ||||
\(91\) | −0.363583 | + | 0.877767i | −0.0381138 | + | 0.0920149i | ||||
\(92\) | 1.19490 | + | 3.67779i | 0.124577 | + | 0.383436i | ||||
\(93\) | −20.8682 | + | 8.64390i | −2.16393 | + | 0.896331i | ||||
\(94\) | 9.93340 | − | 6.08706i | 1.02455 | − | 0.627832i | ||||
\(95\) | 0.517337 | 0.0530777 | ||||||||
\(96\) | −0.000811559 | 16.1200i | −8.28294e−5 | 1.64524i | ||||||
\(97\) | −9.91002 | −1.00621 | −0.503105 | − | 0.864225i | \(-0.667809\pi\) | ||||
−0.503105 | + | 0.864225i | \(0.667809\pi\) | |||||||
\(98\) | −7.35230 | + | 4.50540i | −0.742695 | + | 0.455114i | ||||
\(99\) | 9.41780 | − | 3.90098i | 0.946525 | − | 0.392063i | ||||
\(100\) | −9.41148 | + | 3.05777i | −0.941148 | + | 0.305777i | ||||
\(101\) | −1.18800 | + | 2.86808i | −0.118210 | + | 0.285385i | −0.971899 | − | 0.235399i | \(-0.924360\pi\) |
0.853688 | + | 0.520784i | \(0.174360\pi\) | |||||||
\(102\) | −12.1553 | + | 16.7300i | −1.20356 | + | 1.65652i | ||||
\(103\) | −6.55781 | − | 6.55781i | −0.646161 | − | 0.646161i | 0.305902 | − | 0.952063i | \(-0.401042\pi\) |
−0.952063 | + | 0.305902i | \(0.901042\pi\) | |||||||
\(104\) | 1.28400 | + | 2.52019i | 0.125907 | + | 0.247125i | ||||
\(105\) | −0.437074 | + | 0.437074i | −0.0426540 | + | 0.0426540i | ||||
\(106\) | 0.0106199 | + | 0.0670555i | 0.00103149 | + | 0.00651301i | ||||
\(107\) | 17.1236 | + | 7.09282i | 1.65540 | + | 0.685689i | 0.997712 | − | 0.0676023i | \(-0.0215349\pi\) |
0.657687 | + | 0.753291i | \(0.271535\pi\) | |||||||
\(108\) | 7.84824 | + | 9.18949i | 0.755198 | + | 0.884259i | ||||
\(109\) | 4.26123 | + | 10.2875i | 0.408152 | + | 0.985366i | 0.985624 | + | 0.168955i | \(0.0540394\pi\) |
−0.577472 | + | 0.816411i | \(0.695961\pi\) | |||||||
\(110\) | 0.625018 | + | 0.150060i | 0.0595931 | + | 0.0143077i | ||||
\(111\) | 13.9163i | 1.32087i | ||||||||
\(112\) | 0.594657 | − | 3.75354i | 0.0561898 | − | 0.354676i | ||||
\(113\) | 9.22581i | 0.867892i | 0.900939 | + | 0.433946i | \(0.142879\pi\) | ||||
−0.900939 | + | 0.433946i | \(0.857121\pi\) | |||||||
\(114\) | −2.13189 | + | 8.87955i | −0.199669 | + | 0.831646i | ||||
\(115\) | 0.168929 | + | 0.407831i | 0.0157527 | + | 0.0380304i | ||||
\(116\) | −0.118671 | + | 1.50747i | −0.0110183 | + | 0.139965i | ||||
\(117\) | 4.73064 | + | 1.95950i | 0.437348 | + | 0.181155i | ||||
\(118\) | −11.0879 | + | 1.75604i | −1.02073 | + | 0.161656i | ||||
\(119\) | 3.44736 | − | 3.44736i | 0.316019 | − | 0.316019i | ||||
\(120\) | 0.144320 | + | 1.83447i | 0.0131746 | + | 0.167464i | ||||
\(121\) | −4.97568 | − | 4.97568i | −0.452335 | − | 0.452335i | ||||
\(122\) | 9.36959 | + | 6.80755i | 0.848283 | + | 0.616327i | ||||
\(123\) | −5.13610 | + | 12.3997i | −0.463107 | + | 1.11804i | ||||
\(124\) | 7.19739 | − | 14.1250i | 0.646345 | − | 1.26846i | ||||
\(125\) | −2.09828 | + | 0.869135i | −0.187676 | + | 0.0777378i | ||||
\(126\) | −3.59469 | − | 5.86613i | −0.320240 | − | 0.522596i | ||||
\(127\) | 15.0623 | 1.33657 | 0.668283 | − | 0.743907i | \(-0.267030\pi\) | ||||
0.668283 | + | 0.743907i | \(0.267030\pi\) | |||||||
\(128\) | −7.34706 | − | 8.60353i | −0.649394 | − | 0.760452i | ||||
\(129\) | −1.24954 | −0.110016 | ||||||||
\(130\) | 0.168698 | + | 0.275296i | 0.0147958 | + | 0.0241451i | ||||
\(131\) | 1.49352 | − | 0.618636i | 0.130490 | − | 0.0540505i | −0.316483 | − | 0.948598i | \(-0.602502\pi\) |
0.446973 | + | 0.894548i | \(0.352502\pi\) | |||||||
\(132\) | −5.15125 | + | 10.1094i | −0.448359 | + | 0.879909i | ||||
\(133\) | 0.823872 | − | 1.98900i | 0.0714388 | − | 0.172468i | ||||
\(134\) | 5.70720 | + | 4.14661i | 0.493027 | + | 0.358213i | ||||
\(135\) | 0.975462 | + | 0.975462i | 0.0839544 | + | 0.0839544i | ||||
\(136\) | −1.13831 | − | 14.4692i | −0.0976092 | − | 1.24072i | ||||
\(137\) | −3.51518 | + | 3.51518i | −0.300322 | + | 0.300322i | −0.841140 | − | 0.540818i | \(-0.818115\pi\) |
0.540818 | + | 0.841140i | \(0.318115\pi\) | |||||||
\(138\) | −7.69612 | + | 1.21887i | −0.655137 | + | 0.103757i | ||||
\(139\) | 10.4035 | + | 4.30928i | 0.882416 | + | 0.365509i | 0.777433 | − | 0.628965i | \(-0.216521\pi\) |
0.104983 | + | 0.994474i | \(0.466521\pi\) | |||||||
\(140\) | 0.0340459 | − | 0.432483i | 0.00287741 | − | 0.0365515i | ||||
\(141\) | 8.98345 | + | 21.6880i | 0.756543 | + | 1.82646i | ||||
\(142\) | 2.88254 | − | 12.0061i | 0.241897 | − | 1.00753i | ||||
\(143\) | 1.99081i | 0.166480i | ||||||||
\(144\) | −20.2293 | − | 3.20485i | −1.68578 | − | 0.267071i | ||||
\(145\) | 0.172614i | 0.0143348i | ||||||||
\(146\) | 20.5214 | + | 4.92698i | 1.69836 | + | 0.407759i | ||||
\(147\) | −6.64919 | − | 16.0526i | −0.548416 | − | 1.32399i | ||||
\(148\) | −6.34305 | − | 7.42706i | −0.521395 | − | 0.610500i | ||||
\(149\) | 9.16650 | + | 3.79689i | 0.750949 | + | 0.311053i | 0.725129 | − | 0.688613i | \(-0.241780\pi\) |
0.0258204 | + | 0.999667i | \(0.491780\pi\) | |||||||
\(150\) | −3.11909 | − | 19.6944i | −0.254672 | − | 1.60804i | ||||
\(151\) | −4.12017 | + | 4.12017i | −0.335295 | + | 0.335295i | −0.854593 | − | 0.519298i | \(-0.826193\pi\) |
0.519298 | + | 0.854593i | \(0.326193\pi\) | |||||||
\(152\) | −2.90953 | − | 5.71070i | −0.235994 | − | 0.463199i | ||||
\(153\) | −18.5792 | − | 18.5792i | −1.50204 | − | 1.50204i | ||||
\(154\) | 1.57229 | − | 2.16403i | 0.126699 | − | 0.174382i | ||||
\(155\) | 0.692529 | − | 1.67191i | 0.0556253 | − | 0.134291i | ||||
\(156\) | −5.42036 | + | 1.76106i | −0.433976 | + | 0.140998i | ||||
\(157\) | −18.2898 | + | 7.57588i | −1.45968 | + | 0.604621i | −0.964480 | − | 0.264155i | \(-0.914907\pi\) |
−0.495204 | + | 0.868776i | \(0.664907\pi\) | |||||||
\(158\) | −8.96124 | + | 5.49133i | −0.712918 | + | 0.436867i | ||||
\(159\) | −0.136800 | −0.0108490 | ||||||||
\(160\) | −0.913178 | − | 0.913270i | −0.0721930 | − | 0.0722003i | ||||
\(161\) | 1.83701 | 0.144777 | ||||||||
\(162\) | −2.23964 | + | 1.37242i | −0.175962 | + | 0.107828i | ||||
\(163\) | 13.1523 | − | 5.44785i | 1.03017 | − | 0.426709i | 0.197394 | − | 0.980324i | \(-0.436752\pi\) |
0.832772 | + | 0.553615i | \(0.186752\pi\) | |||||||
\(164\) | −2.91065 | − | 8.95869i | −0.227284 | − | 0.699556i | ||||
\(165\) | −0.495650 | + | 1.19661i | −0.0385863 | + | 0.0931556i | ||||
\(166\) | −12.2102 | + | 16.8056i | −0.947696 | + | 1.30436i | ||||
\(167\) | −14.2228 | − | 14.2228i | −1.10059 | − | 1.10059i | −0.994339 | − | 0.106256i | \(-0.966114\pi\) |
−0.106256 | − | 0.994339i | \(-0.533886\pi\) | |||||||
\(168\) | 7.28282 | + | 2.36658i | 0.561882 | + | 0.182585i | ||||
\(169\) | −0.707107 | + | 0.707107i | −0.0543928 | + | 0.0543928i | ||||
\(170\) | −0.259164 | − | 1.63641i | −0.0198770 | − | 0.125507i | ||||
\(171\) | −10.7195 | − | 4.44018i | −0.819744 | − | 0.339549i | ||||
\(172\) | 0.666877 | − | 0.569543i | 0.0508489 | − | 0.0434273i | ||||
\(173\) | −3.76802 | − | 9.09679i | −0.286477 | − | 0.691616i | 0.713482 | − | 0.700673i | \(-0.247117\pi\) |
−0.999959 | + | 0.00905708i | \(0.997117\pi\) | |||||||
\(174\) | −2.96274 | − | 0.711323i | −0.224605 | − | 0.0539253i | ||||
\(175\) | 4.70092i | 0.355356i | ||||||||
\(176\) | −1.85867 | − | 7.74329i | −0.140102 | − | 0.583672i | ||||
\(177\) | − | 22.6205i | − | 1.70026i | ||||||
\(178\) | 3.71227 | − | 15.4620i | 0.278246 | − | 1.15893i | ||||
\(179\) | 2.78119 | + | 6.71437i | 0.207876 | + | 0.501856i | 0.993088 | − | 0.117370i | \(-0.0374464\pi\) |
−0.785213 | + | 0.619226i | \(0.787446\pi\) | |||||||
\(180\) | −2.33083 | − | 0.183487i | −0.173730 | − | 0.0136763i | ||||
\(181\) | 15.5835 | + | 6.45491i | 1.15831 | + | 0.479790i | 0.877313 | − | 0.479918i | \(-0.159334\pi\) |
0.281001 | + | 0.959707i | \(0.409334\pi\) | |||||||
\(182\) | 1.32709 | − | 0.210176i | 0.0983702 | − | 0.0155793i | ||||
\(183\) | −16.5016 | + | 16.5016i | −1.21983 | + | 1.21983i | ||||
\(184\) | 3.55183 | − | 4.15840i | 0.261844 | − | 0.306562i | ||||
\(185\) | −0.788381 | − | 0.788381i | −0.0579629 | − | 0.0579629i | ||||
\(186\) | 25.8428 | + | 18.7763i | 1.89489 | + | 1.37674i | ||||
\(187\) | 3.90938 | − | 9.43808i | 0.285882 | − | 0.690180i | ||||
\(188\) | −14.6798 | − | 7.48012i | −1.07064 | − | 0.545544i | ||||
\(189\) | 5.30380 | − | 2.19691i | 0.385795 | − | 0.159801i | ||||
\(190\) | −0.382267 | − | 0.623817i | −0.0277326 | − | 0.0452564i | ||||
\(191\) | −12.8264 | −0.928084 | −0.464042 | − | 0.885813i | \(-0.653601\pi\) | ||||
−0.464042 | + | 0.885813i | \(0.653601\pi\) | |||||||
\(192\) | 19.4384 | − | 11.9103i | 1.40285 | − | 0.859549i | ||||
\(193\) | −5.48258 | −0.394645 | −0.197323 | − | 0.980339i | \(-0.563225\pi\) | ||||
−0.197323 | + | 0.980339i | \(0.563225\pi\) | |||||||
\(194\) | 7.32264 | + | 11.9497i | 0.525735 | + | 0.857941i | ||||
\(195\) | −0.601065 | + | 0.248969i | −0.0430432 | + | 0.0178291i | ||||
\(196\) | 10.8654 | + | 5.53648i | 0.776101 | + | 0.395463i | ||||
\(197\) | 9.96280 | − | 24.0523i | 0.709820 | − | 1.71366i | 0.00936935 | − | 0.999956i | \(-0.497018\pi\) |
0.700451 | − | 0.713701i | \(-0.252982\pi\) | |||||||
\(198\) | −11.6628 | − | 8.47371i | −0.828841 | − | 0.602201i | ||||
\(199\) | −18.3814 | − | 18.3814i | −1.30302 | − | 1.30302i | −0.926343 | − | 0.376682i | \(-0.877065\pi\) |
−0.376682 | − | 0.926343i | \(-0.622935\pi\) | |||||||
\(200\) | 10.6414 | + | 9.08916i | 0.752460 | + | 0.642700i | ||||
\(201\) | −10.0514 | + | 10.0514i | −0.708973 | + | 0.708973i | ||||
\(202\) | 4.33623 | − | 0.686746i | 0.305096 | − | 0.0483193i | ||||
\(203\) | 0.663649 | + | 0.274893i | 0.0465790 | + | 0.0192937i | ||||
\(204\) | 29.1552 | + | 2.29515i | 2.04127 | + | 0.160693i | ||||
\(205\) | −0.411493 | − | 0.993431i | −0.0287399 | − | 0.0693842i | ||||
\(206\) | −3.06191 | + | 12.7532i | −0.213333 | + | 0.888558i | ||||
\(207\) | − | 9.90038i | − | 0.688124i | ||||||
\(208\) | 2.09013 | − | 3.41048i | 0.144925 | − | 0.236474i | ||||
\(209\) | − | 4.51114i | − | 0.312042i | ||||||
\(210\) | 0.849993 | + | 0.204074i | 0.0586551 | + | 0.0140825i | ||||
\(211\) | −7.96715 | − | 19.2344i | −0.548481 | − | 1.32415i | −0.918608 | − | 0.395170i | \(-0.870686\pi\) |
0.370127 | − | 0.928981i | \(-0.379314\pi\) | |||||||
\(212\) | 0.0730099 | − | 0.0623538i | 0.00501434 | − | 0.00428248i | ||||
\(213\) | 22.9858 | + | 9.52105i | 1.57496 | + | 0.652371i | ||||
\(214\) | −4.10014 | − | 25.8890i | −0.280280 | − | 1.76973i | ||||
\(215\) | 0.0707888 | − | 0.0707888i | 0.00482776 | − | 0.00482776i | ||||
\(216\) | 5.28173 | − | 16.2538i | 0.359376 | − | 1.10593i | ||||
\(217\) | −5.32513 | − | 5.32513i | −0.361493 | − | 0.361493i | ||||
\(218\) | 9.25625 | − | 12.7399i | 0.626913 | − | 0.862853i | ||||
\(219\) | −16.2739 | + | 39.2886i | −1.09969 | + | 2.65488i | ||||
\(220\) | −0.280887 | − | 0.864542i | −0.0189374 | − | 0.0582874i | ||||
\(221\) | 4.74082 | − | 1.96371i | 0.318902 | − | 0.132094i | ||||
\(222\) | 16.7806 | − | 10.2829i | 1.12624 | − | 0.690143i | ||||
\(223\) | −9.01231 | −0.603509 | −0.301754 | − | 0.953386i | \(-0.597572\pi\) | ||||
−0.301754 | + | 0.953386i | \(0.597572\pi\) | |||||||
\(224\) | −4.96550 | + | 2.05649i | −0.331771 | + | 0.137405i | ||||
\(225\) | 25.3351 | 1.68901 | ||||||||
\(226\) | 11.1247 | − | 6.81707i | 0.740004 | − | 0.453465i | ||||
\(227\) | 5.59803 | − | 2.31878i | 0.371555 | − | 0.153903i | −0.189089 | − | 0.981960i | \(-0.560554\pi\) |
0.560644 | + | 0.828057i | \(0.310554\pi\) | |||||||
\(228\) | 12.2824 | − | 3.99053i | 0.813424 | − | 0.264279i | ||||
\(229\) | 2.60492 | − | 6.28883i | 0.172138 | − | 0.415578i | −0.814141 | − | 0.580668i | \(-0.802792\pi\) |
0.986278 | + | 0.165090i | \(0.0527915\pi\) | |||||||
\(230\) | 0.366948 | − | 0.505050i | 0.0241958 | − | 0.0333020i | ||||
\(231\) | 3.81125 | + | 3.81125i | 0.250762 | + | 0.250762i | ||||
\(232\) | 1.90543 | − | 0.970791i | 0.125097 | − | 0.0637355i | ||||
\(233\) | −1.78229 | + | 1.78229i | −0.116762 | + | 0.116762i | −0.763073 | − | 0.646312i | \(-0.776311\pi\) |
0.646312 | + | 0.763073i | \(0.276311\pi\) | |||||||
\(234\) | −1.13272 | − | 7.15221i | −0.0740485 | − | 0.467554i | ||||
\(235\) | −1.73759 | − | 0.719733i | −0.113348 | − | 0.0469502i | ||||
\(236\) | 10.3105 | + | 12.0725i | 0.671154 | + | 0.785853i | ||||
\(237\) | −8.10426 | − | 19.5654i | −0.526428 | − | 1.27091i | ||||
\(238\) | −6.70421 | − | 1.60961i | −0.434569 | − | 0.104336i | ||||
\(239\) | − | 6.15982i | − | 0.398446i | −0.979954 | − | 0.199223i | \(-0.936158\pi\) | ||
0.979954 | − | 0.199223i | \(-0.0638418\pi\) | |||||||
\(240\) | 2.10541 | − | 1.52954i | 0.135904 | − | 0.0987313i | ||||
\(241\) | 19.0616i | 1.22787i | 0.789358 | + | 0.613933i | \(0.210413\pi\) | ||||
−0.789358 | + | 0.613933i | \(0.789587\pi\) | |||||||
\(242\) | −2.32320 | + | 9.67639i | −0.149341 | + | 0.622022i | ||||
\(243\) | 4.91150 | + | 11.8574i | 0.315073 | + | 0.760654i | ||||
\(244\) | 1.28539 | − | 16.3282i | 0.0822888 | − | 1.04531i | ||||
\(245\) | 1.28609 | + | 0.532717i | 0.0821655 | + | 0.0340341i | ||||
\(246\) | 18.7469 | − | 2.96903i | 1.19526 | − | 0.189298i | ||||
\(247\) | 1.60229 | − | 1.60229i | 0.101951 | − | 0.101951i | ||||
\(248\) | −22.3505 | + | 1.75834i | −1.41926 | + | 0.111655i | ||||
\(249\) | −29.5977 | − | 29.5977i | −1.87568 | − | 1.87568i | ||||
\(250\) | 2.59847 | + | 1.88794i | 0.164341 | + | 0.119404i | ||||
\(251\) | 2.66575 | − | 6.43569i | 0.168261 | − | 0.406217i | −0.817147 | − | 0.576430i | \(-0.804445\pi\) |
0.985407 | + | 0.170213i | \(0.0544454\pi\) | |||||||
\(252\) | −4.41735 | + | 8.66911i | −0.278267 | + | 0.546103i | ||||
\(253\) | 3.55625 | − | 1.47305i | 0.223580 | − | 0.0926097i | ||||
\(254\) | −11.1297 | − | 18.1625i | −0.698342 | − | 1.13962i | ||||
\(255\) | 3.33845 | 0.209062 | ||||||||
\(256\) | −4.94550 | + | 15.2165i | −0.309094 | + | 0.951032i | ||||
\(257\) | −19.4380 | −1.21251 | −0.606254 | − | 0.795271i | \(-0.707329\pi\) | ||||
−0.606254 | + | 0.795271i | \(0.707329\pi\) | |||||||
\(258\) | 0.923303 | + | 1.50673i | 0.0574823 | + | 0.0938048i | ||||
\(259\) | −4.28660 | + | 1.77557i | −0.266356 | + | 0.110328i | ||||
\(260\) | 0.207306 | − | 0.406840i | 0.0128565 | − | 0.0252311i | ||||
\(261\) | 1.48151 | − | 3.57668i | 0.0917030 | − | 0.221391i | ||||
\(262\) | −1.84955 | − | 1.34380i | −0.114265 | − | 0.0830204i | ||||
\(263\) | −13.5304 | − | 13.5304i | −0.834322 | − | 0.834322i | 0.153782 | − | 0.988105i | \(-0.450855\pi\) |
−0.988105 | + | 0.153782i | \(0.950855\pi\) | |||||||
\(264\) | 15.9965 | − | 1.25846i | 0.984514 | − | 0.0774530i | ||||
\(265\) | 0.00774999 | − | 0.00774999i | 0.000476078 | − | 0.000476078i | ||||
\(266\) | −3.00715 | + | 0.476256i | −0.184380 | + | 0.0292011i | ||||
\(267\) | 29.6023 | + | 12.2617i | 1.81163 | + | 0.750402i | ||||
\(268\) | 0.782958 | − | 9.94586i | 0.0478268 | − | 0.607540i | ||||
\(269\) | 12.1045 | + | 29.2229i | 0.738026 | + | 1.78175i | 0.613745 | + | 0.789504i | \(0.289662\pi\) |
0.124280 | + | 0.992247i | \(0.460338\pi\) | |||||||
\(270\) | 0.455453 | − | 1.89702i | 0.0277180 | − | 0.115449i | ||||
\(271\) | − | 21.4018i | − | 1.30007i | −0.759905 | − | 0.650035i | \(-0.774754\pi\) | ||
0.759905 | − | 0.650035i | \(-0.225246\pi\) | |||||||
\(272\) | −16.6061 | + | 12.0640i | −1.00690 | + | 0.731490i | ||||
\(273\) | 2.70740i | 0.163859i | ||||||||
\(274\) | 6.83609 | + | 1.64127i | 0.412983 | + | 0.0991529i | ||||
\(275\) | 3.76954 | + | 9.10047i | 0.227312 | + | 0.548779i | ||||
\(276\) | 7.15650 | + | 8.37952i | 0.430771 | + | 0.504388i | ||||
\(277\) | −11.0912 | − | 4.59412i | −0.666405 | − | 0.276034i | 0.0237257 | − | 0.999719i | \(-0.492447\pi\) |
−0.690131 | + | 0.723684i | \(0.742447\pi\) | |||||||
\(278\) | −2.49107 | − | 15.7290i | −0.149404 | − | 0.943363i | ||||
\(279\) | −28.6993 | + | 28.6993i | −1.71818 | + | 1.71818i | ||||
\(280\) | −0.546655 | + | 0.278514i | −0.0326689 | + | 0.0166444i | ||||
\(281\) | −7.45843 | − | 7.45843i | −0.444933 | − | 0.444933i | 0.448733 | − | 0.893666i | \(-0.351875\pi\) |
−0.893666 | + | 0.448733i | \(0.851875\pi\) | |||||||
\(282\) | 19.5139 | − | 26.8580i | 1.16203 | − | 1.59937i | ||||
\(283\) | −7.49625 | + | 18.0975i | −0.445606 | + | 1.07579i | 0.528346 | + | 0.849029i | \(0.322813\pi\) |
−0.973951 | + | 0.226758i | \(0.927187\pi\) | |||||||
\(284\) | −16.6072 | + | 5.39562i | −0.985453 | + | 0.320171i | ||||
\(285\) | 1.36200 | − | 0.564160i | 0.0806781 | − | 0.0334179i | ||||
\(286\) | 2.40056 | − | 1.47103i | 0.141948 | − | 0.0869840i | ||||
\(287\) | −4.47475 | −0.264136 | ||||||||
\(288\) | 11.0832 | + | 26.7611i | 0.653086 | + | 1.57691i | ||||
\(289\) | −9.33159 | −0.548917 | ||||||||
\(290\) | 0.208142 | − | 0.127547i | 0.0122225 | − | 0.00748981i | ||||
\(291\) | −26.0903 | + | 10.8070i | −1.52944 | + | 0.633515i | ||||
\(292\) | −9.22247 | − | 28.3858i | −0.539704 | − | 1.66115i | ||||
\(293\) | 9.01284 | − | 21.7589i | 0.526536 | − | 1.27117i | −0.407243 | − | 0.913320i | \(-0.633510\pi\) |
0.933779 | − | 0.357850i | \(-0.116490\pi\) | |||||||
\(294\) | −14.4434 | + | 19.8792i | −0.842354 | + | 1.15938i | ||||
\(295\) | 1.28149 | + | 1.28149i | 0.0746114 | + | 0.0746114i | ||||
\(296\) | −4.26876 | + | 13.1365i | −0.248117 | + | 0.763546i | ||||
\(297\) | 8.50595 | − | 8.50595i | 0.493565 | − | 0.493565i | ||||
\(298\) | −2.19487 | − | 13.8587i | −0.127145 | − | 0.802816i | ||||
\(299\) | 1.78633 | + | 0.739924i | 0.103306 | + | 0.0427909i | ||||
\(300\) | −21.4433 | + | 18.3135i | −1.23803 | + | 1.05733i | ||||
\(301\) | −0.159428 | − | 0.384894i | −0.00918930 | − | 0.0221849i | ||||
\(302\) | 8.01264 | + | 1.92375i | 0.461076 | + | 0.110699i | ||||
\(303\) | 8.84637i | 0.508211i | ||||||||
\(304\) | −4.73620 | + | 7.72808i | −0.271640 | + | 0.443236i | ||||
\(305\) | − | 1.86968i | − | 0.107058i | ||||||
\(306\) | −8.67484 | + | 36.1317i | −0.495908 | + | 2.06551i | ||||
\(307\) | 2.55687 | + | 6.17284i | 0.145928 | + | 0.352302i | 0.979895 | − | 0.199512i | \(-0.0639357\pi\) |
−0.833967 | + | 0.551814i | \(0.813936\pi\) | |||||||
\(308\) | −3.77122 | − | 0.296878i | −0.214885 | − | 0.0169162i | ||||
\(309\) | −24.4162 | − | 10.1135i | −1.38899 | − | 0.575338i | ||||
\(310\) | −2.52775 | + | 0.400330i | −0.143566 | + | 0.0227372i | ||||
\(311\) | −17.3286 | + | 17.3286i | −0.982613 | + | 0.982613i | −0.999851 | − | 0.0172386i | \(-0.994513\pi\) |
0.0172386 | + | 0.999851i | \(0.494513\pi\) | |||||||
\(312\) | 6.12870 | + | 5.23472i | 0.346969 | + | 0.296358i | ||||
\(313\) | 18.3786 | + | 18.3786i | 1.03882 | + | 1.03882i | 0.999215 | + | 0.0396055i | \(0.0126101\pi\) |
0.0396055 | + | 0.999215i | \(0.487390\pi\) | |||||||
\(314\) | 22.6497 | + | 16.4563i | 1.27820 | + | 0.928685i | ||||
\(315\) | −0.425035 | + | 1.02613i | −0.0239480 | + | 0.0578157i | ||||
\(316\) | 13.2431 | + | 6.74805i | 0.744985 | + | 0.379608i | ||||
\(317\) | 20.2952 | − | 8.40654i | 1.13989 | − | 0.472158i | 0.268759 | − | 0.963207i | \(-0.413386\pi\) |
0.871132 | + | 0.491049i | \(0.163386\pi\) | |||||||
\(318\) | 0.101084 | + | 0.164957i | 0.00566849 | + | 0.00925034i | ||||
\(319\) | 1.50518 | 0.0842741 | ||||||||
\(320\) | −0.426483 | + | 1.77596i | −0.0238411 | + | 0.0992790i | ||||
\(321\) | 52.8163 | 2.94792 | ||||||||
\(322\) | −1.35739 | − | 2.21511i | −0.0756443 | − | 0.123443i | ||||
\(323\) | −10.7426 | + | 4.44974i | −0.597736 | + | 0.247590i | ||||
\(324\) | 3.30979 | + | 1.68651i | 0.183877 | + | 0.0936948i | ||||
\(325\) | −1.89347 | + | 4.57124i | −0.105031 | + | 0.253567i | ||||
\(326\) | −16.2875 | − | 11.8338i | −0.902083 | − | 0.655416i | ||||
\(327\) | 22.4372 | + | 22.4372i | 1.24078 | + | 1.24078i | ||||
\(328\) | −8.65187 | + | 10.1294i | −0.477720 | + | 0.559304i | ||||
\(329\) | −5.53431 | + | 5.53431i | −0.305116 | + | 0.305116i | ||||
\(330\) | 1.80914 | − | 0.286520i | 0.0995897 | − | 0.0157724i | ||||
\(331\) | −16.8220 | − | 6.96789i | −0.924619 | − | 0.382990i | −0.130984 | − | 0.991384i | \(-0.541814\pi\) |
−0.793635 | + | 0.608395i | \(0.791814\pi\) | |||||||
\(332\) | 29.2868 | + | 2.30551i | 1.60732 | + | 0.126532i | ||||
\(333\) | 9.56925 | + | 23.1022i | 0.524392 | + | 1.26599i | ||||
\(334\) | −6.64078 | + | 27.6596i | −0.363367 | + | 1.51347i | ||||
\(335\) | − | 1.13886i | − | 0.0622227i | ||||||
\(336\) | −2.52770 | − | 10.5305i | −0.137897 | − | 0.574485i | ||||
\(337\) | 2.93346i | 0.159796i | 0.996803 | + | 0.0798979i | \(0.0254594\pi\) | ||||
−0.996803 | + | 0.0798979i | \(0.974541\pi\) | |||||||
\(338\) | 1.37514 | + | 0.330155i | 0.0747975 | + | 0.0179581i | ||||
\(339\) | 10.0608 | + | 24.2890i | 0.546429 | + | 1.31920i | ||||
\(340\) | −1.78172 | + | 1.52167i | −0.0966272 | + | 0.0825240i | ||||
\(341\) | −14.5789 | − | 6.03880i | −0.789494 | − | 0.327019i | ||||
\(342\) | 2.56673 | + | 16.2068i | 0.138793 | + | 0.876362i | ||||
\(343\) | 8.79896 | − | 8.79896i | 0.475099 | − | 0.475099i | ||||
\(344\) | −1.17953 | − | 0.383292i | −0.0635961 | − | 0.0206657i | ||||
\(345\) | 0.889485 | + | 0.889485i | 0.0478883 | + | 0.0478883i | ||||
\(346\) | −8.18489 | + | 11.2653i | −0.440022 | + | 0.605626i | ||||
\(347\) | 7.12807 | − | 17.2087i | 0.382655 | − | 0.923810i | −0.608796 | − | 0.793327i | \(-0.708347\pi\) |
0.991451 | − | 0.130483i | \(-0.0416529\pi\) | |||||||
\(348\) | 1.33148 | + | 4.09815i | 0.0713747 | + | 0.219684i | ||||
\(349\) | 19.5834 | − | 8.11170i | 1.04827 | − | 0.434210i | 0.208999 | − | 0.977916i | \(-0.432979\pi\) |
0.839276 | + | 0.543706i | \(0.182979\pi\) | |||||||
\(350\) | 5.66847 | − | 3.47357i | 0.302993 | − | 0.185670i | ||||
\(351\) | 6.04238 | 0.322519 | ||||||||
\(352\) | −7.96364 | + | 7.96284i | −0.424463 | + | 0.424421i | ||||
\(353\) | −17.5124 | −0.932092 | −0.466046 | − | 0.884760i | \(-0.654322\pi\) | ||||
−0.466046 | + | 0.884760i | \(0.654322\pi\) | |||||||
\(354\) | −27.2764 | + | 16.7146i | −1.44972 | + | 0.888371i | ||||
\(355\) | −1.84157 | + | 0.762804i | −0.0977405 | + | 0.0404854i | ||||
\(356\) | −21.3875 | + | 6.94875i | −1.13354 | + | 0.368283i | ||||
\(357\) | 5.31656 | − | 12.8353i | 0.281382 | − | 0.679317i | ||||
\(358\) | 6.04129 | − | 8.31495i | 0.319292 | − | 0.439459i | ||||
\(359\) | 8.90372 | + | 8.90372i | 0.469920 | + | 0.469920i | 0.901889 | − | 0.431968i | \(-0.142181\pi\) |
−0.431968 | + | 0.901889i | \(0.642181\pi\) | |||||||
\(360\) | 1.50102 | + | 2.94615i | 0.0791109 | + | 0.155276i | ||||
\(361\) | 9.80427 | − | 9.80427i | 0.516014 | − | 0.516014i | ||||
\(362\) | −3.73139 | − | 23.5606i | −0.196117 | − | 1.23832i | ||||
\(363\) | −18.5256 | − | 7.67355i | −0.972341 | − | 0.402757i | ||||
\(364\) | −1.23404 | − | 1.44493i | −0.0646811 | − | 0.0757349i | ||||
\(365\) | −1.30382 | − | 3.14771i | −0.0682452 | − | 0.164759i | ||||
\(366\) | 32.0912 | + | 7.70475i | 1.67743 | + | 0.402734i | ||||
\(367\) | − | 1.69436i | − | 0.0884449i | −0.999022 | − | 0.0442224i | \(-0.985919\pi\) | ||
0.999022 | − | 0.0442224i | \(-0.0140810\pi\) | |||||||
\(368\) | −7.63879 | − | 1.21018i | −0.398199 | − | 0.0630850i | ||||
\(369\) | 24.1162i | 1.25544i | ||||||||
\(370\) | −0.368103 | + | 1.53319i | −0.0191368 | + | 0.0797069i | ||||
\(371\) | −0.0174543 | − | 0.0421384i | −0.000906181 | − | 0.00218772i | ||||
\(372\) | 3.54531 | − | 45.0359i | 0.183816 | − | 2.33500i | ||||
\(373\) | 11.3694 | + | 4.70936i | 0.588686 | + | 0.243842i | 0.657085 | − | 0.753816i | \(-0.271789\pi\) |
−0.0683994 | + | 0.997658i | \(0.521789\pi\) | |||||||
\(374\) | −14.2693 | + | 2.25989i | −0.737850 | + | 0.116856i | ||||
\(375\) | −4.57637 | + | 4.57637i | −0.236323 | + | 0.236323i | ||||
\(376\) | 1.82741 | + | 23.2284i | 0.0942415 | + | 1.19791i | ||||
\(377\) | 0.534619 | + | 0.534619i | 0.0275343 | + | 0.0275343i | ||||
\(378\) | −6.56813 | − | 4.77212i | −0.337828 | − | 0.245452i | ||||
\(379\) | 3.23352 | − | 7.80640i | 0.166095 | − | 0.400988i | −0.818815 | − | 0.574058i | \(-0.805369\pi\) |
0.984910 | + | 0.173070i | \(0.0553686\pi\) | |||||||
\(380\) | −0.469751 | + | 0.921892i | −0.0240977 | + | 0.0472921i | ||||
\(381\) | 39.6548 | − | 16.4256i | 2.03158 | − | 0.841508i | ||||
\(382\) | 9.47757 | + | 15.4663i | 0.484915 | + | 0.791327i | ||||
\(383\) | 13.7920 | 0.704736 | 0.352368 | − | 0.935862i | \(-0.385377\pi\) | ||||
0.352368 | + | 0.935862i | \(0.385377\pi\) | |||||||
\(384\) | −28.7249 | − | 14.6386i | −1.46586 | − | 0.747025i | ||||
\(385\) | −0.431828 | −0.0220080 | ||||||||
\(386\) | 4.05115 | + | 6.61102i | 0.206198 | + | 0.336492i | ||||
\(387\) | −2.07435 | + | 0.859225i | −0.105445 | + | 0.0436768i | ||||
\(388\) | 8.99847 | − | 17.6596i | 0.456828 | − | 0.896531i | ||||
\(389\) | −0.0819880 | + | 0.197937i | −0.00415696 | + | 0.0100358i | −0.925944 | − | 0.377660i | \(-0.876729\pi\) |
0.921787 | + | 0.387696i | \(0.126729\pi\) | |||||||
\(390\) | 0.744347 | + | 0.540811i | 0.0376915 | + | 0.0273850i | ||||
\(391\) | −7.01570 | − | 7.01570i | −0.354799 | − | 0.354799i | ||||
\(392\) | −1.35258 | − | 17.1927i | −0.0683154 | − | 0.868365i | ||||
\(393\) | 3.25739 | − | 3.25739i | 0.164314 | − | 0.164314i | ||||
\(394\) | −36.3645 | + | 5.75919i | −1.83202 | + | 0.290144i | ||||
\(395\) | 1.56753 | + | 0.649294i | 0.0788712 | + | 0.0326695i | ||||
\(396\) | −1.59999 | + | 20.3246i | −0.0804028 | + | 1.02135i | ||||
\(397\) | −7.21278 | − | 17.4132i | −0.361999 | − | 0.873943i | −0.995008 | − | 0.0997983i | \(-0.968180\pi\) |
0.633009 | − | 0.774145i | \(-0.281820\pi\) | |||||||
\(398\) | −8.58248 | + | 35.7470i | −0.430201 | + | 1.79184i | ||||
\(399\) | − | 6.13492i | − | 0.307130i | ||||||
\(400\) | 3.09686 | − | 19.5477i | 0.154843 | − | 0.977386i | ||||
\(401\) | − | 37.7013i | − | 1.88272i | −0.337410 | − | 0.941358i | \(-0.609551\pi\) | ||
0.337410 | − | 0.941358i | \(-0.390449\pi\) | |||||||
\(402\) | 19.5474 | + | 4.69312i | 0.974934 | + | 0.234071i | ||||
\(403\) | −3.03334 | − | 7.32313i | −0.151101 | − | 0.364791i | ||||
\(404\) | −4.03219 | − | 4.72128i | −0.200609 | − | 0.234892i | ||||
\(405\) | 0.391766 | + | 0.162275i | 0.0194670 | + | 0.00806350i | ||||
\(406\) | −0.158907 | − | 1.00336i | −0.00788642 | − | 0.0497962i | ||||
\(407\) | −6.87462 | + | 6.87462i | −0.340762 | + | 0.340762i | ||||
\(408\) | −18.7756 | − | 36.8519i | −0.929530 | − | 1.82444i | ||||
\(409\) | 16.0746 | + | 16.0746i | 0.794835 | + | 0.794835i | 0.982276 | − | 0.187441i | \(-0.0600192\pi\) |
−0.187441 | + | 0.982276i | \(0.560019\pi\) | |||||||
\(410\) | −0.893845 | + | 1.23025i | −0.0441438 | + | 0.0607575i | ||||
\(411\) | −5.42114 | + | 13.0878i | −0.267405 | + | 0.645573i | ||||
\(412\) | 17.6406 | − | 5.73138i | 0.869090 | − | 0.282365i | ||||
\(413\) | 6.96776 | − | 2.88614i | 0.342861 | − | 0.142018i | ||||
\(414\) | −11.9381 | + | 7.31552i | −0.586726 | + | 0.359538i | ||||
\(415\) | 3.35352 | 0.164618 | ||||||||
\(416\) | −5.65685 | 0.000284794i | −0.277350 | 1.39632e-5i | ||||||
\(417\) | 32.0889 | 1.57140 | ||||||||
\(418\) | −5.43963 | + | 3.33334i | −0.266061 | + | 0.163039i | ||||
\(419\) | 17.9488 | − | 7.43464i | 0.876857 | − | 0.363206i | 0.101580 | − | 0.994827i | \(-0.467610\pi\) |
0.775277 | + | 0.631621i | \(0.217610\pi\) | |||||||
\(420\) | −0.381993 | − | 1.17573i | −0.0186393 | − | 0.0573699i | ||||
\(421\) | 1.08694 | − | 2.62410i | 0.0529740 | − | 0.127891i | −0.895177 | − | 0.445711i | \(-0.852951\pi\) |
0.948151 | + | 0.317820i | \(0.102951\pi\) | |||||||
\(422\) | −17.3063 | + | 23.8195i | −0.842455 | + | 1.15952i | ||||
\(423\) | 29.8266 | + | 29.8266i | 1.45022 | + | 1.45022i | ||||
\(424\) | −0.129136 | − | 0.0419630i | −0.00627138 | − | 0.00203790i | ||||
\(425\) | 17.9532 | − | 17.9532i | 0.870859 | − | 0.870859i | ||||
\(426\) | −5.50383 | − | 34.7521i | −0.266661 | − | 1.68374i | ||||
\(427\) | −7.18837 | − | 2.97752i | −0.347869 | − | 0.144092i | ||||
\(428\) | −28.1879 | + | 24.0737i | −1.36251 | + | 1.16365i | ||||
\(429\) | 2.17099 | + | 5.24124i | 0.104816 | + | 0.253049i | ||||
\(430\) | −0.137666 | − | 0.0330520i | −0.00663882 | − | 0.00159391i | ||||
\(431\) | − | 30.9501i | − | 1.49082i | −0.666609 | − | 0.745408i | \(-0.732255\pi\) | ||
0.666609 | − | 0.745408i | \(-0.267745\pi\) | |||||||
\(432\) | −23.5020 | + | 5.64132i | −1.13074 | + | 0.271418i | ||||
\(433\) | 31.0996i | 1.49455i | 0.664514 | + | 0.747276i | \(0.268639\pi\) | ||||
−0.664514 | + | 0.747276i | \(0.731361\pi\) | |||||||
\(434\) | −2.48636 | + | 10.3560i | −0.119349 | + | 0.497102i | ||||
\(435\) | 0.188237 | + | 0.454445i | 0.00902528 | + | 0.0217890i | ||||
\(436\) | −22.2016 | − | 1.74775i | −1.06326 | − | 0.0837022i | ||||
\(437\) | −4.04780 | − | 1.67665i | −0.193633 | − | 0.0802053i | ||||
\(438\) | 59.4000 | − | 9.40742i | 2.83824 | − | 0.449504i | ||||
\(439\) | 23.3838 | − | 23.3838i | 1.11605 | − | 1.11605i | 0.123734 | − | 0.992315i | \(-0.460513\pi\) |
0.992315 | − | 0.123734i | \(-0.0394869\pi\) | |||||||
\(440\) | −0.834933 | + | 0.977521i | −0.0398039 | + | 0.0466015i | ||||
\(441\) | −22.0765 | − | 22.0765i | −1.05126 | − | 1.05126i | ||||
\(442\) | −5.87094 | − | 4.26558i | −0.279252 | − | 0.202893i | ||||
\(443\) | 0.213902 | − | 0.516404i | 0.0101628 | − | 0.0245351i | −0.918717 | − | 0.394917i | \(-0.870773\pi\) |
0.928879 | + | 0.370382i | \(0.120773\pi\) | |||||||
\(444\) | −24.7987 | − | 12.6362i | −1.17690 | − | 0.599688i | ||||
\(445\) | −2.37167 | + | 0.982376i | −0.112428 | + | 0.0465691i | ||||
\(446\) | 6.65931 | + | 10.8672i | 0.315327 | + | 0.514579i | ||||
\(447\) | 28.2734 | 1.33728 | ||||||||
\(448\) | 6.14883 | + | 4.46795i | 0.290505 | + | 0.211091i | ||||
\(449\) | 21.8335 | 1.03039 | 0.515194 | − | 0.857074i | \(-0.327720\pi\) | ||||
0.515194 | + | 0.857074i | \(0.327720\pi\) | |||||||
\(450\) | −18.7205 | − | 30.5497i | −0.882491 | − | 1.44013i | ||||
\(451\) | −8.66264 | + | 3.58818i | −0.407908 | + | 0.168961i | ||||
\(452\) | −16.4404 | − | 8.37719i | −0.773289 | − | 0.394030i | ||||
\(453\) | −6.35417 | + | 15.3403i | −0.298545 | + | 0.720751i | ||||
\(454\) | −6.93250 | − | 5.03686i | −0.325358 | − | 0.236392i | ||||
\(455\) | −0.153379 | − | 0.153379i | −0.00719052 | − | 0.00719052i | ||||
\(456\) | −13.8875 | − | 11.8618i | −0.650343 | − | 0.555479i | ||||
\(457\) | −3.92168 | + | 3.92168i | −0.183449 | + | 0.183449i | −0.792857 | − | 0.609408i | \(-0.791407\pi\) |
0.609408 | + | 0.792857i | \(0.291407\pi\) | |||||||
\(458\) | −9.50802 | + | 1.50582i | −0.444281 | + | 0.0703626i | ||||
\(459\) | −28.6459 | − | 11.8655i | −1.33708 | − | 0.553835i | ||||
\(460\) | −0.880143 | − | 0.0692866i | −0.0410369 | − | 0.00323050i | ||||
\(461\) | 4.91573 | + | 11.8676i | 0.228948 | + | 0.552730i | 0.996050 | − | 0.0887956i | \(-0.0283018\pi\) |
−0.767102 | + | 0.641526i | \(0.778302\pi\) | |||||||
\(462\) | 1.77951 | − | 7.41187i | 0.0827903 | − | 0.344831i | ||||
\(463\) | 8.14694i | 0.378621i | 0.981917 | + | 0.189310i | \(0.0606252\pi\) | ||||
−0.981917 | + | 0.189310i | \(0.939375\pi\) | |||||||
\(464\) | −2.57854 | − | 1.58028i | −0.119706 | − | 0.0733625i | ||||
\(465\) | − | 5.15688i | − | 0.239145i | ||||||
\(466\) | 3.46608 | + | 0.832170i | 0.160563 | + | 0.0385495i | ||||
\(467\) | −0.830169 | − | 2.00421i | −0.0384157 | − | 0.0927436i | 0.903507 | − | 0.428573i | \(-0.140983\pi\) |
−0.941923 | + | 0.335829i | \(0.890983\pi\) | |||||||
\(468\) | −7.78731 | + | 6.65072i | −0.359969 | + | 0.307430i | ||||
\(469\) | −4.37858 | − | 1.81367i | −0.202184 | − | 0.0837473i | ||||
\(470\) | 0.416056 | + | 2.62704i | 0.0191912 | + | 0.121176i | ||||
\(471\) | −39.8903 | + | 39.8903i | −1.83805 | + | 1.83805i | ||||
\(472\) | 6.93876 | − | 21.3531i | 0.319382 | − | 0.982857i | ||||
\(473\) | −0.617273 | − | 0.617273i | −0.0283822 | − | 0.0283822i | ||||
\(474\) | −17.6041 | + | 24.2294i | −0.808582 | + | 1.11289i | ||||
\(475\) | 4.29057 | − | 10.3584i | 0.196865 | − | 0.475274i | ||||
\(476\) | 3.01292 | + | 9.27345i | 0.138097 | + | 0.425048i | ||||
\(477\) | −0.227101 | + | 0.0940682i | −0.0103982 | + | 0.00430709i | ||||
\(478\) | −7.42765 | + | 4.55157i | −0.339733 | + | 0.208184i | ||||
\(479\) | 25.1490 | 1.14908 | 0.574542 | − | 0.818475i | \(-0.305180\pi\) | ||||
0.574542 | + | 0.818475i | \(0.305180\pi\) | |||||||
\(480\) | −3.40007 | − | 1.40855i | −0.155191 | − | 0.0642914i | ||||
\(481\) | −4.88353 | −0.222670 | ||||||||
\(482\) | 22.9849 | − | 14.0849i | 1.04693 | − | 0.641547i | ||||
\(483\) | 4.83632 | − | 2.00327i | 0.220060 | − | 0.0911520i | ||||
\(484\) | 13.3846 | − | 4.34864i | 0.608393 | − | 0.197665i | ||||
\(485\) | 0.865828 | − | 2.09029i | 0.0393152 | − | 0.0949153i | ||||
\(486\) | 10.6688 | − | 14.6840i | 0.483946 | − | 0.666080i | ||||
\(487\) | −1.21813 | − | 1.21813i | −0.0551986 | − | 0.0551986i | 0.678969 | − | 0.734167i | \(-0.262427\pi\) |
−0.734167 | + | 0.678969i | \(0.762427\pi\) | |||||||
\(488\) | −20.6388 | + | 10.5152i | −0.934273 | + | 0.476000i | ||||
\(489\) | 28.6853 | − | 28.6853i | 1.29720 | − | 1.29720i | ||||
\(490\) | −0.307948 | − | 1.94443i | −0.0139117 | − | 0.0878405i | ||||
\(491\) | 20.6656 | + | 8.55997i | 0.932626 | + | 0.386306i | 0.796674 | − | 0.604409i | \(-0.206591\pi\) |
0.135952 | + | 0.990715i | \(0.456591\pi\) | |||||||
\(492\) | −17.4324 | − | 20.4116i | −0.785915 | − | 0.920226i | ||||
\(493\) | −1.48470 | − | 3.58438i | −0.0668674 | − | 0.161432i | ||||
\(494\) | −3.11603 | − | 0.748126i | −0.140197 | − | 0.0336598i | ||||
\(495\) | 2.32729i | 0.104604i | ||||||||
\(496\) | 18.6353 | + | 25.6514i | 0.836748 | + | 1.15178i | ||||
\(497\) | 8.29507i | 0.372085i | ||||||||
\(498\) | −13.8195 | + | 57.5596i | −0.619265 | + | 2.57931i | ||||
\(499\) | 15.4692 | + | 37.3460i | 0.692498 | + | 1.67184i | 0.739686 | + | 0.672952i | \(0.234974\pi\) |
−0.0471878 | + | 0.998886i | \(0.515026\pi\) | |||||||
\(500\) | 0.356477 | − | 4.52831i | 0.0159422 | − | 0.202512i | ||||
\(501\) | −52.9547 | − | 21.9346i | −2.36584 | − | 0.979964i | ||||
\(502\) | −9.73006 | + | 1.54099i | −0.434274 | + | 0.0687777i | ||||
\(503\) | 23.7146 | − | 23.7146i | 1.05738 | − | 1.05738i | 0.0591299 | − | 0.998250i | \(-0.481167\pi\) |
0.998250 | − | 0.0591299i | \(-0.0188326\pi\) | |||||||
\(504\) | 13.7175 | − | 1.07917i | 0.611024 | − | 0.0480700i | ||||
\(505\) | −0.501162 | − | 0.501162i | −0.0223014 | − | 0.0223014i | ||||
\(506\) | −4.40399 | − | 3.19976i | −0.195781 | − | 0.142246i | ||||
\(507\) | −1.09051 | + | 2.63272i | −0.0484311 | + | 0.116923i | ||||
\(508\) | −13.6768 | + | 26.8410i | −0.606812 | + | 1.19088i | ||||
\(509\) | −23.3604 | + | 9.67619i | −1.03543 | + | 0.428890i | −0.834670 | − | 0.550751i | \(-0.814342\pi\) |
−0.200761 | + | 0.979640i | \(0.564342\pi\) | |||||||
\(510\) | −2.46682 | − | 4.02558i | −0.109233 | − | 0.178256i | ||||
\(511\) | −14.1783 | −0.627213 | ||||||||
\(512\) | 22.0027 | − | 5.28027i | 0.972391 | − | 0.233357i | ||||
\(513\) | −13.6919 | −0.604514 | ||||||||
\(514\) | 14.3630 | + | 23.4388i | 0.633524 | + | 1.03384i | ||||
\(515\) | 1.95617 | − | 0.810272i | 0.0861991 | − | 0.0357049i | ||||
\(516\) | 1.13461 | − | 2.22668i | 0.0499483 | − | 0.0980241i | ||||
\(517\) | −6.27601 | + | 15.1516i | −0.276019 | + | 0.666368i | ||||
\(518\) | 5.30844 | + | 3.85689i | 0.233240 | + | 0.169462i | ||||
\(519\) | −19.8402 | − | 19.8402i | −0.870890 | − | 0.870890i | ||||
\(520\) | −0.643758 | + | 0.0506453i | −0.0282306 | + | 0.00222094i | ||||
\(521\) | −22.5504 | + | 22.5504i | −0.987951 | + | 0.987951i | −0.999928 | − | 0.0119773i | \(-0.996187\pi\) |
0.0119773 | + | 0.999928i | \(0.496187\pi\) | |||||||
\(522\) | −5.40754 | + | 0.856414i | −0.236682 | + | 0.0374842i | ||||
\(523\) | 24.0463 | + | 9.96030i | 1.05147 | + | 0.435534i | 0.840417 | − | 0.541941i | \(-0.182310\pi\) |
0.211054 | + | 0.977474i | \(0.432310\pi\) | |||||||
\(524\) | −0.253735 | + | 3.22318i | −0.0110845 | + | 0.140805i | ||||
\(525\) | 5.12638 | + | 12.3762i | 0.223734 | + | 0.540141i | ||||
\(526\) | −6.31750 | + | 26.3131i | −0.275456 | + | 1.14731i | ||||
\(527\) | 40.6743i | 1.77180i | ||||||||
\(528\) | −13.3375 | − | 18.3590i | −0.580438 | − | 0.798973i | ||||
\(529\) | 19.2615i | 0.837457i | ||||||||
\(530\) | −0.0150717 | − | 0.00361855i | −0.000654672 | − | 0.000157180i | ||||
\(531\) | −15.5546 | − | 37.5521i | −0.675011 | − | 1.62962i | ||||
\(532\) | 2.79630 | + | 3.27418i | 0.121235 | + | 0.141954i | ||||
\(533\) | −4.35132 | − | 1.80237i | −0.188476 | − | 0.0780695i | ||||
\(534\) | −7.08810 | − | 44.7554i | −0.306732 | − | 1.93676i | ||||
\(535\) | −2.99214 | + | 2.99214i | −0.129361 | + | 0.129361i | ||||
\(536\) | −12.5715 | + | 6.40501i | −0.543005 | + | 0.276654i | ||||
\(537\) | 14.6441 | + | 14.6441i | 0.631942 | + | 0.631942i | ||||
\(538\) | 26.2934 | − | 36.1891i | 1.13359 | − | 1.56022i | ||||
\(539\) | 4.64525 | − | 11.2146i | 0.200085 | − | 0.483048i | ||||
\(540\) | −2.62400 | + | 0.852532i | −0.112919 | + | 0.0366872i | ||||
\(541\) | −31.0950 | + | 12.8800i | −1.33688 | + | 0.553752i | −0.932609 | − | 0.360888i | \(-0.882474\pi\) |
−0.404268 | + | 0.914641i | \(0.632474\pi\) | |||||||
\(542\) | −25.8068 | + | 15.8141i | −1.10850 | + | 0.679273i | ||||
\(543\) | 48.0662 | 2.06272 | ||||||||
\(544\) | 26.8176 | + | 11.1098i | 1.14979 | + | 0.476328i | ||||
\(545\) | −2.54222 | −0.108897 | ||||||||
\(546\) | 3.26465 | − | 2.00053i | 0.139714 | − | 0.0856149i | ||||
\(547\) | 33.3037 | − | 13.7948i | 1.42396 | − | 0.589825i | 0.468110 | − | 0.883670i | \(-0.344935\pi\) |
0.955853 | + | 0.293846i | \(0.0949353\pi\) | |||||||
\(548\) | −3.07219 | − | 9.45587i | −0.131237 | − | 0.403935i | ||||
\(549\) | −16.0471 | + | 38.7410i | −0.684872 | + | 1.65343i | ||||
\(550\) | 8.18819 | − | 11.2698i | 0.349146 | − | 0.480548i | ||||
\(551\) | −1.21144 | − | 1.21144i | −0.0516090 | − | 0.0516090i | ||||
\(552\) | 4.81620 | − | 14.8212i | 0.204991 | − | 0.630832i | ||||
\(553\) | 4.99268 | − | 4.99268i | 0.212310 | − | 0.212310i | ||||
\(554\) | 2.65572 | + | 16.7687i | 0.112831 | + | 0.712433i | ||||
\(555\) | −2.93532 | − | 1.21585i | −0.124597 | − | 0.0516099i | ||||
\(556\) | −17.1257 | + | 14.6261i | −0.726292 | + | 0.620286i | ||||
\(557\) | −7.96660 | − | 19.2331i | −0.337556 | − | 0.814931i | −0.997949 | − | 0.0640116i | \(-0.979611\pi\) |
0.660394 | − | 0.750920i | \(-0.270389\pi\) | |||||||
\(558\) | 55.8125 | + | 13.4000i | 2.36273 | + | 0.567266i | ||||
\(559\) | − | 0.438493i | − | 0.0185463i | ||||||
\(560\) | 0.739769 | + | 0.453372i | 0.0312609 | + | 0.0191585i | ||||
\(561\) | − | 29.1110i | − | 1.22907i | ||||||
\(562\) | −3.48242 | + | 14.5047i | −0.146897 | + | 0.611843i | ||||
\(563\) | −16.3074 | − | 39.3697i | −0.687277 | − | 1.65923i | −0.750197 | − | 0.661214i | \(-0.770041\pi\) |
0.0629201 | − | 0.998019i | \(-0.479959\pi\) | |||||||
\(564\) | −46.8050 | − | 3.68458i | −1.97084 | − | 0.155149i | ||||
\(565\) | −1.94597 | − | 0.806049i | −0.0818678 | − | 0.0339107i | ||||
\(566\) | 27.3615 | − | 4.33335i | 1.15009 | − | 0.182144i | ||||
\(567\) | 1.24779 | − | 1.24779i | 0.0524024 | − | 0.0524024i | ||||
\(568\) | 18.7774 | + | 16.0384i | 0.787882 | + | 0.672956i | ||||
\(569\) | −31.7534 | − | 31.7534i | −1.33117 | − | 1.33117i | −0.904325 | − | 0.426845i | \(-0.859625\pi\) |
−0.426845 | − | 0.904325i | \(-0.640375\pi\) | |||||||
\(570\) | −1.68668 | − | 1.22547i | −0.0706471 | − | 0.0513292i | ||||
\(571\) | 2.82001 | − | 6.80810i | 0.118014 | − | 0.284910i | −0.853824 | − | 0.520562i | \(-0.825723\pi\) |
0.971838 | + | 0.235652i | \(0.0757225\pi\) | |||||||
\(572\) | −3.54761 | − | 1.80769i | −0.148333 | − | 0.0755832i | ||||
\(573\) | −33.7682 | + | 13.9873i | −1.41069 | + | 0.584326i | ||||
\(574\) | 3.30645 | + | 5.39576i | 0.138009 | + | 0.225215i | ||||
\(575\) | 9.56679 | 0.398963 | ||||||||
\(576\) | 24.0796 | − | 33.1385i | 1.00332 | − | 1.38077i | ||||
\(577\) | 31.9785 | 1.33128 | 0.665641 | − | 0.746272i | \(-0.268158\pi\) | ||||
0.665641 | + | 0.746272i | \(0.268158\pi\) | |||||||
\(578\) | 6.89522 | + | 11.2522i | 0.286804 | + | 0.468031i | ||||
\(579\) | −14.4341 | + | 5.97880i | −0.599861 | + | 0.248470i | ||||
\(580\) | −0.307598 | − | 0.156737i | −0.0127723 | − | 0.00650814i | ||||
\(581\) | 5.34056 | − | 12.8933i | 0.221564 | − | 0.534902i | ||||
\(582\) | 32.3097 | + | 23.4749i | 1.33928 | + | 0.973065i | ||||
\(583\) | −0.0675792 | − | 0.0675792i | −0.00279885 | − | 0.00279885i | ||||
\(584\) | −27.4136 | + | 32.0953i | −1.13438 | + | 1.32811i | ||||
\(585\) | −0.826622 | + | 0.826622i | −0.0341766 | + | 0.0341766i | ||||
\(586\) | −32.8971 | + | 5.21005i | −1.35897 | + | 0.215225i | ||||
\(587\) | −18.5678 | − | 7.69102i | −0.766374 | − | 0.317442i | −0.0349712 | − | 0.999388i | \(-0.511134\pi\) |
−0.731403 | + | 0.681946i | \(0.761134\pi\) | |||||||
\(588\) | 34.6431 | + | 2.72718i | 1.42866 | + | 0.112467i | ||||
\(589\) | 6.87349 | + | 16.5941i | 0.283217 | + | 0.683747i | ||||
\(590\) | 0.598342 | − | 2.49217i | 0.0246334 | − | 0.102601i | ||||
\(591\) | − | 74.1875i | − | 3.05166i | ||||||
\(592\) | 18.9946 | − | 4.55938i | 0.780672 | − | 0.187390i | ||||
\(593\) | 19.8525i | 0.815246i | 0.913150 | + | 0.407623i | \(0.133642\pi\) | ||||
−0.913150 | + | 0.407623i | \(0.866358\pi\) | |||||||
\(594\) | −16.5418 | − | 3.97152i | −0.678719 | − | 0.162953i | ||||
\(595\) | 0.425950 | + | 1.02834i | 0.0174623 | + | 0.0421576i | ||||
\(596\) | −15.0894 | + | 12.8870i | −0.618085 | + | 0.527873i | ||||
\(597\) | −68.4382 | − | 28.3480i | −2.80099 | − | 1.16021i | ||||
\(598\) | −0.427728 | − | 2.70074i | −0.0174911 | − | 0.110442i | ||||
\(599\) | −10.5309 | + | 10.5309i | −0.430283 | + | 0.430283i | −0.888724 | − | 0.458442i | \(-0.848408\pi\) |
0.458442 | + | 0.888724i | \(0.348408\pi\) | |||||||
\(600\) | 37.9276 | + | 12.3247i | 1.54839 | + | 0.503153i | ||||
\(601\) | 29.0382 | + | 29.0382i | 1.18449 | + | 1.18449i | 0.978568 | + | 0.205926i | \(0.0660206\pi\) |
0.205926 | + | 0.978568i | \(0.433979\pi\) | |||||||
\(602\) | −0.346311 | + | 0.476646i | −0.0141146 | + | 0.0194266i | ||||
\(603\) | −9.77458 | + | 23.5979i | −0.398052 | + | 0.960982i | ||||
\(604\) | −3.60094 | − | 11.0833i | −0.146520 | − | 0.450973i | ||||
\(605\) | 1.48423 | − | 0.614787i | 0.0603424 | − | 0.0249946i | ||||
\(606\) | 10.6672 | − | 6.53670i | 0.433324 | − | 0.265535i | ||||
\(607\) | −39.5114 | −1.60372 | −0.801859 | − | 0.597514i | \(-0.796155\pi\) | ||||
−0.801859 | + | 0.597514i | \(0.796155\pi\) | |||||||
\(608\) | 12.8183 | 0.000645339i | 0.519852 | 2.61719e-5i | ||||||
\(609\) | 2.04697 | 0.0829475 | ||||||||
\(610\) | −2.25451 | + | 1.38153i | −0.0912824 | + | 0.0559366i | ||||
\(611\) | −7.61079 | + | 3.15249i | −0.307900 | + | 0.127536i | ||||
\(612\) | 49.9784 | − | 16.2378i | 2.02026 | − | 0.656376i | ||||
\(613\) | 5.43386 | − | 13.1185i | 0.219472 | − | 0.529852i | −0.775345 | − | 0.631538i | \(-0.782424\pi\) |
0.994816 | + | 0.101687i | \(0.0324239\pi\) | |||||||
\(614\) | 5.55404 | − | 7.64432i | 0.224143 | − | 0.308500i | ||||
\(615\) | −2.16669 | − | 2.16669i | −0.0873693 | − | 0.0873693i | ||||
\(616\) | 2.42862 | + | 4.76679i | 0.0978518 | + | 0.192059i | ||||
\(617\) | 8.98568 | − | 8.98568i | 0.361750 | − | 0.361750i | −0.502707 | − | 0.864457i | \(-0.667663\pi\) |
0.864457 | + | 0.502707i | \(0.167663\pi\) | |||||||
\(618\) | 5.84632 | + | 36.9146i | 0.235174 | + | 1.48492i | ||||
\(619\) | −2.46239 | − | 1.01996i | −0.0989718 | − | 0.0409955i | 0.332648 | − | 0.943051i | \(-0.392058\pi\) |
−0.431620 | + | 0.902056i | \(0.642058\pi\) | |||||||
\(620\) | 2.35051 | + | 2.75221i | 0.0943988 | + | 0.110531i | ||||
\(621\) | −4.47090 | − | 10.7937i | −0.179411 | − | 0.433137i | ||||
\(622\) | 33.6995 | + | 8.09089i | 1.35123 | + | 0.324415i | ||||
\(623\) | 10.6828i | 0.427997i | ||||||||
\(624\) | 1.78358 | − | 11.2581i | 0.0714002 | − | 0.450686i | ||||
\(625\) | 24.2209i | 0.968835i | ||||||||
\(626\) | 8.58117 | − | 35.7415i | 0.342972 | − | 1.42852i | ||||
\(627\) | −4.91943 | − | 11.8766i | −0.196463 | − | 0.474304i | ||||
\(628\) | 3.10726 | − | 39.4713i | 0.123993 | − | 1.57508i | ||||
\(629\) | 23.1520 | + | 9.58986i | 0.923129 | + | 0.382373i | ||||
\(630\) | 1.55139 | − | 0.245700i | 0.0618089 | − | 0.00978892i | ||||
\(631\) | −13.5337 | + | 13.5337i | −0.538767 | + | 0.538767i | −0.923167 | − | 0.384400i | \(-0.874408\pi\) |
0.384400 | + | 0.923167i | \(0.374408\pi\) | |||||||
\(632\) | −1.64857 | − | 20.9551i | −0.0655764 | − | 0.833549i | ||||
\(633\) | −41.9505 | − | 41.9505i | −1.66738 | − | 1.66738i | ||||
\(634\) | −25.1332 | − | 18.2607i | −0.998165 | − | 0.725225i | ||||
\(635\) | −1.31598 | + | 3.17705i | −0.0522230 | + | 0.126078i | ||||
\(636\) | 0.124217 | − | 0.243778i | 0.00492553 | − | 0.00966642i | ||||
\(637\) | 5.63320 | − | 2.33335i | 0.223196 | − | 0.0924506i | ||||
\(638\) | −1.11220 | − | 1.81498i | −0.0440323 | − | 0.0718559i | ||||
\(639\) | 44.7055 | 1.76852 | ||||||||
\(640\) | 2.45662 | − | 0.798014i | 0.0971065 | − | 0.0315443i | ||||
\(641\) | 11.1951 | 0.442178 | 0.221089 | − | 0.975254i | \(-0.429039\pi\) | ||||
0.221089 | + | 0.975254i | \(0.429039\pi\) | |||||||
\(642\) | −39.0266 | − | 63.6871i | −1.54026 | − | 2.51353i | ||||
\(643\) | 18.9451 | − | 7.84732i | 0.747122 | − | 0.309468i | 0.0235553 | − | 0.999723i | \(-0.492501\pi\) |
0.723567 | + | 0.690254i | \(0.242501\pi\) | |||||||
\(644\) | −1.66803 | + | 3.27354i | −0.0657298 | + | 0.128996i | ||||
\(645\) | 0.109171 | − | 0.263563i | 0.00429861 | − | 0.0103778i | ||||
\(646\) | 13.3035 | + | 9.66573i | 0.523417 | + | 0.380293i | ||||
\(647\) | 19.1543 | + | 19.1543i | 0.753034 | + | 0.753034i | 0.975044 | − | 0.222011i | \(-0.0712620\pi\) |
−0.222011 | + | 0.975044i | \(0.571262\pi\) | |||||||
\(648\) | −0.412017 | − | 5.23720i | −0.0161856 | − | 0.205737i | ||||
\(649\) | 11.1745 | − | 11.1745i | 0.438638 | − | 0.438638i | ||||
\(650\) | 6.91122 | − | 1.09456i | 0.271080 | − | 0.0429321i | ||||
\(651\) | −19.8266 | − | 8.21246i | −0.777067 | − | 0.321872i | ||||
\(652\) | −2.23445 | + | 28.3840i | −0.0875077 | + | 1.11160i | ||||
\(653\) | −10.0623 | − | 24.2926i | −0.393769 | − | 0.950643i | −0.989111 | − | 0.147171i | \(-0.952983\pi\) |
0.595342 | − | 0.803473i | \(-0.297017\pi\) | |||||||
\(654\) | 10.4762 | − | 43.6345i | 0.409651 | − | 1.70624i | ||||
\(655\) | 0.369074i | 0.0144209i | ||||||||
\(656\) | 18.6073 | + | 2.94787i | 0.726491 | + | 0.115095i | ||||
\(657\) | 76.4129i | 2.98115i | ||||||||
\(658\) | 10.7628 | + | 2.58402i | 0.419576 | + | 0.100736i | ||||
\(659\) | −5.49334 | − | 13.2621i | −0.213990 | − | 0.516618i | 0.780039 | − | 0.625731i | \(-0.215199\pi\) |
−0.994029 | + | 0.109113i | \(0.965199\pi\) | |||||||
\(660\) | −1.68229 | − | 1.96978i | −0.0654829 | − | 0.0766738i | ||||
\(661\) | 41.6451 | + | 17.2499i | 1.61980 | + | 0.670945i | 0.994035 | − | 0.109063i | \(-0.0347849\pi\) |
0.625770 | + | 0.780008i | \(0.284785\pi\) | |||||||
\(662\) | 4.02792 | + | 25.4330i | 0.156550 | + | 0.988481i | ||||
\(663\) | 10.3398 | − | 10.3398i | 0.401565 | − | 0.401565i | ||||
\(664\) | −18.8603 | − | 37.0183i | −0.731923 | − | 1.43659i | ||||
\(665\) | 0.347554 | + | 0.347554i | 0.0134776 | + | 0.0134776i | ||||
\(666\) | 20.7863 | − | 28.6093i | 0.805454 | − | 1.10859i | ||||
\(667\) | 0.559431 | − | 1.35059i | 0.0216613 | − | 0.0522949i | ||||
\(668\) | 38.2595 | − | 12.4304i | 1.48031 | − | 0.480948i | ||||
\(669\) | −23.7269 | + | 9.82799i | −0.917334 | + | 0.379972i | ||||
\(670\) | −1.37327 | + | 0.841519i | −0.0530539 | + | 0.0325107i | ||||
\(671\) | −16.3035 | −0.629389 | ||||||||
\(672\) | −10.8301 | + | 10.8291i | −0.417782 | + | 0.417740i | ||||
\(673\) | 7.43998 | 0.286790 | 0.143395 | − | 0.989666i | \(-0.454198\pi\) | ||||
0.143395 | + | 0.989666i | \(0.454198\pi\) | |||||||
\(674\) | 3.53723 | − | 2.16757i | 0.136249 | − | 0.0834917i | ||||
\(675\) | 27.6212 | − | 11.4411i | 1.06314 | − | 0.440367i | ||||
\(676\) | −0.617996 | − | 1.90213i | −0.0237691 | − | 0.0731587i | ||||
\(677\) | 16.8038 | − | 40.5680i | 0.645823 | − | 1.55915i | −0.172883 | − | 0.984942i | \(-0.555308\pi\) |
0.818706 | − | 0.574212i | \(-0.194692\pi\) | |||||||
\(678\) | 21.8541 | − | 30.0790i | 0.839302 | − | 1.15518i | ||||
\(679\) | −6.65769 | − | 6.65769i | −0.255499 | − | 0.255499i | ||||
\(680\) | 3.15139 | + | 1.02406i | 0.120850 | + | 0.0392707i | ||||
\(681\) | 12.2094 | − | 12.2094i | 0.467865 | − | 0.467865i | ||||
\(682\) | 3.49085 | + | 22.0418i | 0.133671 | + | 0.844023i | ||||
\(683\) | 13.5493 | + | 5.61229i | 0.518448 | + | 0.214748i | 0.626535 | − | 0.779393i | \(-0.284473\pi\) |
−0.108087 | + | 0.994141i | \(0.534473\pi\) | |||||||
\(684\) | 17.6459 | − | 15.0704i | 0.674708 | − | 0.576232i | ||||
\(685\) | −0.434329 | − | 1.04856i | −0.0165949 | − | 0.0400635i | ||||
\(686\) | −17.1117 | − | 4.10833i | −0.653326 | − | 0.156857i | ||||
\(687\) | − | 19.3974i | − | 0.740057i | ||||||
\(688\) | 0.409388 | + | 1.70553i | 0.0156078 | + | 0.0650225i | ||||
\(689\) | − | 0.0480064i | − | 0.00182890i | ||||||
\(690\) | 0.415310 | − | 1.72981i | 0.0158106 | − | 0.0658528i | ||||
\(691\) | 3.01587 | + | 7.28095i | 0.114729 | + | 0.276980i | 0.970805 | − | 0.239869i | \(-0.0771046\pi\) |
−0.856076 | + | 0.516850i | \(0.827105\pi\) | |||||||
\(692\) | 19.6319 | + | 1.54546i | 0.746291 | + | 0.0587495i | ||||
\(693\) | 8.94774 | + | 3.70627i | 0.339896 | + | 0.140790i | ||||
\(694\) | −26.0176 | + | 4.12052i | −0.987616 | + | 0.156413i | ||||
\(695\) | −1.81789 | + | 1.81789i | −0.0689565 | + | 0.0689565i | ||||
\(696\) | 3.95779 | − | 4.63370i | 0.150020 | − | 0.175640i | ||||
\(697\) | 17.0895 | + | 17.0895i | 0.647310 | + | 0.647310i | ||||
\(698\) | −24.2517 | − | 17.6203i | −0.917940 | − | 0.666936i | ||||
\(699\) | −2.74867 | + | 6.63587i | −0.103964 | + | 0.250992i | ||||
\(700\) | −8.37701 | − | 4.26851i | −0.316621 | − | 0.161335i | ||||
\(701\) | 20.5416 | − | 8.50860i | 0.775845 | − | 0.321366i | 0.0406076 | − | 0.999175i | \(-0.487071\pi\) |
0.735237 | + | 0.677810i | \(0.237071\pi\) | |||||||
\(702\) | −4.46479 | − | 7.28604i | −0.168513 | − | 0.274994i | ||||
\(703\) | 11.0660 | 0.417362 | ||||||||
\(704\) | 15.4862 | + | 3.71890i | 0.583658 | + | 0.140161i | ||||
\(705\) | −5.35945 | −0.201849 | ||||||||
\(706\) | 12.9402 | + | 21.1169i | 0.487009 | + | 0.794744i | ||||
\(707\) | −2.72493 | + | 1.12870i | −0.102482 | + | 0.0424493i | ||||
\(708\) | 40.3097 | + | 20.5398i | 1.51493 | + | 0.771934i | ||||
\(709\) | −1.91266 | + | 4.61758i | −0.0718316 | + | 0.173417i | −0.955717 | − | 0.294286i | \(-0.904918\pi\) |
0.883886 | + | 0.467703i | \(0.154918\pi\) | |||||||
\(710\) | 2.28057 | + | 1.65696i | 0.0855881 | + | 0.0621847i | ||||
\(711\) | −26.9076 | − | 26.9076i | −1.00911 | − | 1.00911i | ||||
\(712\) | 24.1824 | + | 20.6550i | 0.906276 | + | 0.774080i | ||||
\(713\) | −10.8371 | + | 10.8371i | −0.405853 | + | 0.405853i | ||||
\(714\) | −19.4056 | + | 3.07334i | −0.726236 | + | 0.115017i | ||||
\(715\) | −0.419916 | − | 0.173935i | −0.0157040 | − | 0.00650479i | ||||
\(716\) | −14.4903 | − | 1.14071i | −0.541530 | − | 0.0426303i | ||||
\(717\) | −6.71733 | − | 16.2171i | −0.250863 | − | 0.605638i | ||||
\(718\) | 4.15724 | − | 17.3154i | 0.155147 | − | 0.646204i | ||||
\(719\) | 37.8256i | 1.41066i | 0.708880 | + | 0.705329i | \(0.249201\pi\) | ||||
−0.708880 | + | 0.705329i | \(0.750799\pi\) | |||||||
\(720\) | 2.44340 | − | 3.98691i | 0.0910603 | − | 0.148583i | ||||
\(721\) | − | 8.81125i | − | 0.328148i | ||||||
\(722\) | −19.0667 | − | 4.57771i | −0.709589 | − | 0.170365i | ||||
\(723\) | 20.7868 | + | 50.1838i | 0.773070 | + | 1.86636i | ||||
\(724\) | −25.6527 | + | 21.9086i | −0.953376 | + | 0.814227i | ||||
\(725\) | 3.45616 | + | 1.43159i | 0.128359 | + | 0.0531679i | ||||
\(726\) | 4.43585 | + | 28.0087i | 0.164630 | + | 1.03950i | ||||
\(727\) | 12.3051 | − | 12.3051i | 0.456370 | − | 0.456370i | −0.441092 | − | 0.897462i | \(-0.645409\pi\) |
0.897462 | + | 0.441092i | \(0.145409\pi\) | |||||||
\(728\) | −0.830484 | + | 2.55571i | −0.0307798 | + | 0.0947207i | ||||
\(729\) | 29.8012 | + | 29.8012i | 1.10375 | + | 1.10375i | ||||
\(730\) | −2.83217 | + | 3.89806i | −0.104823 | + | 0.144274i | ||||
\(731\) | −0.861074 | + | 2.07882i | −0.0318480 | + | 0.0768878i | ||||
\(732\) | −14.4220 | − | 44.3894i | −0.533052 | − | 1.64068i | ||||
\(733\) | −33.0623 | + | 13.6948i | −1.22118 | + | 0.505831i | −0.897786 | − | 0.440433i | \(-0.854825\pi\) |
−0.323397 | + | 0.946263i | \(0.604825\pi\) | |||||||
\(734\) | −2.04310 | + | 1.25198i | −0.0754121 | + | 0.0462116i | ||||
\(735\) | 3.96685 | 0.146320 | ||||||||
\(736\) | 4.18513 | + | 10.1052i | 0.154266 | + | 0.372484i | ||||
\(737\) | −9.93079 | −0.365805 | ||||||||
\(738\) | 29.0799 | − | 17.8198i | 1.07045 | − | 0.655956i | ||||
\(739\) | −33.6178 | + | 13.9249i | −1.23665 | + | 0.512238i | −0.902666 | − | 0.430341i | \(-0.858393\pi\) |
−0.333984 | + | 0.942579i | \(0.608393\pi\) | |||||||
\(740\) | 2.12075 | − | 0.689027i | 0.0779605 | − | 0.0253292i | ||||
\(741\) | 2.47107 | − | 5.96569i | 0.0907770 | − | 0.219155i | ||||
\(742\) | −0.0379142 | + | 0.0521833i | −0.00139187 | + | 0.00191571i | ||||
\(743\) | 1.94622 | + | 1.94622i | 0.0713999 | + | 0.0713999i | 0.741905 | − | 0.670505i | \(-0.233923\pi\) |
−0.670505 | + | 0.741905i | \(0.733923\pi\) | |||||||
\(744\) | −56.9249 | + | 29.0025i | −2.08697 | + | 1.06328i | ||||
\(745\) | −1.60173 | + | 1.60173i | −0.0586830 | + | 0.0586830i | ||||
\(746\) | −2.72234 | − | 17.1893i | −0.0996720 | − | 0.629345i | ||||
\(747\) | −69.4870 | − | 28.7824i | −2.54240 | − | 1.05309i | ||||
\(748\) | 13.2688 | + | 15.5364i | 0.485156 | + | 0.568068i | ||||
\(749\) | 6.73880 | + | 16.2689i | 0.246230 | + | 0.594453i | ||||
\(750\) | 8.89983 | + | 2.13676i | 0.324976 | + | 0.0780233i | ||||
\(751\) | 25.2610i | 0.921786i | 0.887456 | + | 0.460893i | \(0.152471\pi\) | ||||
−0.887456 | + | 0.460893i | \(0.847529\pi\) | |||||||
\(752\) | 26.6591 | − | 19.3673i | 0.972156 | − | 0.706253i | ||||
\(753\) | − | 19.8504i | − | 0.723388i | ||||||
\(754\) | 0.249619 | − | 1.03969i | 0.00909060 | − | 0.0378634i | ||||
\(755\) | −0.509081 | − | 1.22903i | −0.0185274 | − | 0.0447290i | ||||
\(756\) | −0.901066 | + | 11.4462i | −0.0327714 | + | 0.416293i | ||||
\(757\) | −21.8070 | − | 9.03276i | −0.792589 | − | 0.328301i | −0.0506050 | − | 0.998719i | \(-0.516115\pi\) |
−0.741984 | + | 0.670418i | \(0.766115\pi\) | |||||||
\(758\) | −11.8024 | + | 1.86920i | −0.428683 | + | 0.0678923i | ||||
\(759\) | 7.75624 | − | 7.75624i | 0.281533 | − | 0.281533i | ||||
\(760\) | 1.45874 | − | 0.114761i | 0.0529142 | − | 0.00416283i | ||||
\(761\) | −5.81099 | − | 5.81099i | −0.210648 | − | 0.210648i | 0.593895 | − | 0.804543i | \(-0.297590\pi\) |
−0.804543 | + | 0.593895i | \(0.797590\pi\) | |||||||
\(762\) | −49.1078 | − | 35.6797i | −1.77899 | − | 1.29254i | ||||
\(763\) | −4.04854 | + | 9.77405i | −0.146567 | + | 0.353844i | ||||
\(764\) | 11.6466 | − | 22.8565i | 0.421358 | − | 0.826920i | ||||
\(765\) | 5.54212 | − | 2.29562i | 0.200376 | − | 0.0829983i | ||||
\(766\) | −10.1910 | − | 16.6307i | −0.368217 | − | 0.600890i | ||||
\(767\) | 7.93806 | 0.286627 | ||||||||
\(768\) | 3.57361 | + | 45.4539i | 0.128952 | + | 1.64017i | ||||
\(769\) | −50.0151 | −1.80359 | −0.901795 | − | 0.432163i | \(-0.857750\pi\) | ||||
−0.901795 | + |