Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(89,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 11, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.89");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.n (of order \(22\), degree \(10\), 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: | \(24\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 89.19 | ||
Character | \(\chi\) | \(=\) | 690.89 |
Dual form | 690.2.n.a.659.19 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{5}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.142315 | − | 0.989821i | −0.100632 | − | 0.699909i | ||||
\(3\) | 1.27489 | − | 1.17245i | 0.736061 | − | 0.676915i | ||||
\(4\) | −0.959493 | + | 0.281733i | −0.479746 | + | 0.140866i | ||||
\(5\) | 2.23188 | − | 0.136714i | 0.998129 | − | 0.0611406i | ||||
\(6\) | −1.34195 | − | 1.09506i | −0.547851 | − | 0.447057i | ||||
\(7\) | −1.96759 | + | 1.26449i | −0.743679 | + | 0.477933i | −0.856801 | − | 0.515648i | \(-0.827551\pi\) |
0.113122 | + | 0.993581i | \(0.463915\pi\) | |||||||
\(8\) | 0.415415 | + | 0.909632i | 0.146871 | + | 0.321603i | ||||
\(9\) | 0.250714 | − | 2.98951i | 0.0835714 | − | 0.996502i | ||||
\(10\) | −0.452953 | − | 2.18971i | −0.143236 | − | 0.692447i | ||||
\(11\) | −0.590477 | + | 4.10685i | −0.178035 | + | 1.23826i | 0.683266 | + | 0.730169i | \(0.260559\pi\) |
−0.861302 | + | 0.508094i | \(0.830350\pi\) | |||||||
\(12\) | −0.892935 | + | 1.48414i | −0.257768 | + | 0.428434i | ||||
\(13\) | 2.60370 | − | 4.05144i | 0.722137 | − | 1.12367i | −0.265071 | − | 0.964229i | \(-0.585395\pi\) |
0.987208 | − | 0.159438i | \(-0.0509683\pi\) | |||||||
\(14\) | 1.53164 | + | 1.76761i | 0.409348 | + | 0.472413i | ||||
\(15\) | 2.68513 | − | 2.79107i | 0.693297 | − | 0.720652i | ||||
\(16\) | 0.841254 | − | 0.540641i | 0.210313 | − | 0.135160i | ||||
\(17\) | 2.07397 | − | 7.06329i | 0.503011 | − | 1.71310i | −0.180872 | − | 0.983507i | \(-0.557892\pi\) |
0.683883 | − | 0.729592i | \(-0.260290\pi\) | |||||||
\(18\) | −2.99476 | + | 0.177289i | −0.705871 | + | 0.0417874i | ||||
\(19\) | −1.43678 | − | 4.89322i | −0.329620 | − | 1.12258i | −0.943000 | − | 0.332794i | \(-0.892009\pi\) |
0.613380 | − | 0.789788i | \(-0.289809\pi\) | |||||||
\(20\) | −2.10296 | + | 0.759971i | −0.470236 | + | 0.169935i | ||||
\(21\) | −1.02591 | + | 3.91900i | −0.223873 | + | 0.855196i | ||||
\(22\) | 4.14909 | 0.884588 | ||||||||
\(23\) | 0.585811 | − | 4.75992i | 0.122150 | − | 0.992512i | ||||
\(24\) | 1.59611 | + | 0.672631i | 0.325805 | + | 0.137300i | ||||
\(25\) | 4.96262 | − | 0.610262i | 0.992524 | − | 0.122052i | ||||
\(26\) | −4.38075 | − | 2.00062i | −0.859135 | − | 0.392354i | ||||
\(27\) | −3.18542 | − | 4.10526i | −0.613034 | − | 0.790057i | ||||
\(28\) | 1.53164 | − | 1.76761i | 0.289453 | − | 0.334046i | ||||
\(29\) | −0.892286 | + | 3.03885i | −0.165693 | + | 0.564300i | 0.834224 | + | 0.551426i | \(0.185916\pi\) |
−0.999917 | + | 0.0128738i | \(0.995902\pi\) | |||||||
\(30\) | −3.14480 | − | 2.26059i | −0.574159 | − | 0.412725i | ||||
\(31\) | 0.520682 | + | 1.14014i | 0.0935173 | + | 0.204774i | 0.950610 | − | 0.310388i | \(-0.100459\pi\) |
−0.857093 | + | 0.515162i | \(0.827732\pi\) | |||||||
\(32\) | −0.654861 | − | 0.755750i | −0.115764 | − | 0.133599i | ||||
\(33\) | 4.06229 | + | 5.92811i | 0.707154 | + | 1.03195i | ||||
\(34\) | −7.28655 | − | 1.04765i | −1.24963 | − | 0.179670i | ||||
\(35\) | −4.21856 | + | 3.09120i | −0.713066 | + | 0.522508i | ||||
\(36\) | 0.601683 | + | 2.93904i | 0.100280 | + | 0.489841i | ||||
\(37\) | −1.29334 | − | 1.49260i | −0.212624 | − | 0.245381i | 0.639412 | − | 0.768864i | \(-0.279178\pi\) |
−0.852036 | + | 0.523483i | \(0.824632\pi\) | |||||||
\(38\) | −4.63894 | + | 2.11853i | −0.752535 | + | 0.343671i | ||||
\(39\) | −1.43067 | − | 8.21788i | −0.229091 | − | 1.31591i | ||||
\(40\) | 1.05152 | + | 1.97340i | 0.166260 | + | 0.312022i | ||||
\(41\) | 8.22539 | + | 7.12734i | 1.28459 | + | 1.11310i | 0.987393 | + | 0.158288i | \(0.0505974\pi\) |
0.297197 | + | 0.954816i | \(0.403948\pi\) | |||||||
\(42\) | 4.02511 | + | 0.457739i | 0.621088 | + | 0.0706306i | ||||
\(43\) | −2.57950 | + | 5.64832i | −0.393370 | + | 0.861360i | 0.604530 | + | 0.796583i | \(0.293361\pi\) |
−0.997900 | + | 0.0647776i | \(0.979366\pi\) | |||||||
\(44\) | −0.590477 | − | 4.10685i | −0.0890177 | − | 0.619132i | ||||
\(45\) | 0.150857 | − | 6.70651i | 0.0224884 | − | 0.999747i | ||||
\(46\) | −4.79484 | + | 0.0975584i | −0.706960 | + | 0.0143842i | ||||
\(47\) | 6.75447 | 0.985240 | 0.492620 | − | 0.870244i | \(-0.336039\pi\) | ||||
0.492620 | + | 0.870244i | \(0.336039\pi\) | |||||||
\(48\) | 0.438635 | − | 1.67559i | 0.0633115 | − | 0.241850i | ||||
\(49\) | −0.635439 | + | 1.39142i | −0.0907771 | + | 0.198774i | ||||
\(50\) | −1.31030 | − | 4.82526i | −0.185305 | − | 0.682394i | ||||
\(51\) | −5.63727 | − | 11.4366i | −0.789376 | − | 1.60144i | ||||
\(52\) | −1.35681 | + | 4.62088i | −0.188156 | + | 0.640800i | ||||
\(53\) | 7.10060 | + | 11.0487i | 0.975342 | + | 1.51766i | 0.850828 | + | 0.525445i | \(0.176101\pi\) |
0.124515 | + | 0.992218i | \(0.460263\pi\) | |||||||
\(54\) | −3.61014 | + | 3.73723i | −0.491278 | + | 0.508573i | ||||
\(55\) | −0.756409 | + | 9.24675i | −0.101994 | + | 1.24683i | ||||
\(56\) | −1.96759 | − | 1.26449i | −0.262930 | − | 0.168975i | ||||
\(57\) | −7.56881 | − | 4.55379i | −1.00251 | − | 0.603164i | ||||
\(58\) | 3.13490 | + | 0.450731i | 0.411633 | + | 0.0591839i | ||||
\(59\) | −1.99640 | + | 3.10646i | −0.259909 | + | 0.404427i | −0.946543 | − | 0.322577i | \(-0.895451\pi\) |
0.686634 | + | 0.727003i | \(0.259087\pi\) | |||||||
\(60\) | −1.79002 | + | 3.43450i | −0.231091 | + | 0.443392i | ||||
\(61\) | −5.51656 | + | 2.51933i | −0.706323 | + | 0.322567i | −0.735990 | − | 0.676993i | \(-0.763283\pi\) |
0.0296663 | + | 0.999560i | \(0.490556\pi\) | |||||||
\(62\) | 1.05443 | − | 0.677641i | 0.133913 | − | 0.0860604i | ||||
\(63\) | 3.28691 | + | 6.19915i | 0.414111 | + | 0.781019i | ||||
\(64\) | −0.654861 | + | 0.755750i | −0.0818576 | + | 0.0944687i | ||||
\(65\) | 5.25727 | − | 9.39831i | 0.652085 | − | 1.16572i | ||||
\(66\) | 5.28965 | − | 4.86460i | 0.651111 | − | 0.598791i | ||||
\(67\) | 0.160946 | + | 1.11941i | 0.0196627 | + | 0.136757i | 0.997288 | − | 0.0735963i | \(-0.0234476\pi\) |
−0.977625 | + | 0.210353i | \(0.932539\pi\) | |||||||
\(68\) | 7.36148i | 0.892710i | ||||||||
\(69\) | −4.83393 | − | 6.75523i | −0.581936 | − | 0.813234i | ||||
\(70\) | 3.66010 | + | 3.73570i | 0.437466 | + | 0.446501i | ||||
\(71\) | 0.381400 | − | 0.0548370i | 0.0452638 | − | 0.00650796i | −0.119646 | − | 0.992817i | \(-0.538176\pi\) |
0.164910 | + | 0.986309i | \(0.447267\pi\) | |||||||
\(72\) | 2.82350 | − | 1.01383i | 0.332753 | − | 0.119481i | ||||
\(73\) | −4.69578 | − | 15.9924i | −0.549599 | − | 1.87176i | −0.486347 | − | 0.873766i | \(-0.661671\pi\) |
−0.0632528 | − | 0.997998i | \(-0.520147\pi\) | |||||||
\(74\) | −1.29334 | + | 1.49260i | −0.150348 | + | 0.173511i | ||||
\(75\) | 5.61131 | − | 6.59645i | 0.647939 | − | 0.761692i | ||||
\(76\) | 2.75716 | + | 4.29022i | 0.316268 | + | 0.492122i | ||||
\(77\) | −4.03127 | − | 8.82726i | −0.459406 | − | 1.00596i | ||||
\(78\) | −7.93062 | + | 2.58563i | −0.897966 | + | 0.292765i | ||||
\(79\) | −3.72151 | + | 5.79078i | −0.418702 | + | 0.651513i | −0.984974 | − | 0.172706i | \(-0.944749\pi\) |
0.566271 | + | 0.824219i | \(0.308385\pi\) | |||||||
\(80\) | 1.80367 | − | 1.32166i | 0.201656 | − | 0.147766i | ||||
\(81\) | −8.87428 | − | 1.49902i | −0.986032 | − | 0.166558i | ||||
\(82\) | 5.88420 | − | 9.15600i | 0.649801 | − | 1.01111i | ||||
\(83\) | −12.0367 | + | 10.4298i | −1.32120 | + | 1.14482i | −0.342498 | + | 0.939519i | \(0.611273\pi\) |
−0.978698 | + | 0.205304i | \(0.934182\pi\) | |||||||
\(84\) | −0.119753 | − | 4.04929i | −0.0130662 | − | 0.441813i | ||||
\(85\) | 3.66320 | − | 16.0480i | 0.397330 | − | 1.74065i | ||||
\(86\) | 5.95793 | + | 1.74940i | 0.642460 | + | 0.188643i | ||||
\(87\) | 2.42533 | + | 4.92037i | 0.260023 | + | 0.527520i | ||||
\(88\) | −3.98102 | + | 1.16893i | −0.424378 | + | 0.124609i | ||||
\(89\) | −6.45448 | + | 14.1333i | −0.684174 | + | 1.49813i | 0.173986 | + | 0.984748i | \(0.444335\pi\) |
−0.858159 | + | 0.513383i | \(0.828392\pi\) | |||||||
\(90\) | −6.65971 | + | 0.805115i | −0.701995 | + | 0.0848665i | ||||
\(91\) | 11.2639i | 1.18078i | ||||||||
\(92\) | 0.778942 | + | 4.73215i | 0.0812103 | + | 0.493361i | ||||
\(93\) | 2.00057 | + | 0.843078i | 0.207449 | + | 0.0874231i | ||||
\(94\) | −0.961261 | − | 6.68572i | −0.0991465 | − | 0.689579i | ||||
\(95\) | −3.87570 | − | 10.7247i | −0.397638 | − | 1.10033i | ||||
\(96\) | −1.72096 | − | 0.195709i | −0.175645 | − | 0.0199744i | ||||
\(97\) | −5.68611 | + | 6.56212i | −0.577337 | + | 0.666283i | −0.967030 | − | 0.254662i | \(-0.918036\pi\) |
0.389693 | + | 0.920945i | \(0.372581\pi\) | |||||||
\(98\) | 1.46769 | + | 0.430952i | 0.148259 | + | 0.0435327i | ||||
\(99\) | 12.1294 | + | 2.79488i | 1.21905 | + | 0.280896i | ||||
\(100\) | −4.58967 | + | 1.98367i | −0.458967 | + | 0.198367i | ||||
\(101\) | 2.88426 | − | 2.49923i | 0.286995 | − | 0.248683i | −0.499450 | − | 0.866343i | \(-0.666465\pi\) |
0.786445 | + | 0.617660i | \(0.211919\pi\) | |||||||
\(102\) | −10.5179 | + | 7.20749i | −1.04143 | + | 0.713647i | ||||
\(103\) | −1.59510 | + | 11.0942i | −0.157170 | + | 1.09314i | 0.746647 | + | 0.665221i | \(0.231663\pi\) |
−0.903817 | + | 0.427920i | \(0.859246\pi\) | |||||||
\(104\) | 4.76694 | + | 0.685382i | 0.467437 | + | 0.0672072i | ||||
\(105\) | −1.75394 | + | 8.88701i | −0.171167 | + | 0.867283i | ||||
\(106\) | 9.92577 | − | 8.60073i | 0.964076 | − | 0.835377i | ||||
\(107\) | 10.0925 | − | 4.60910i | 0.975682 | − | 0.445579i | 0.137221 | − | 0.990541i | \(-0.456183\pi\) |
0.838461 | + | 0.544962i | \(0.183456\pi\) | |||||||
\(108\) | 4.21297 | + | 3.04153i | 0.405393 | + | 0.292671i | ||||
\(109\) | 0.734577 | − | 2.50174i | 0.0703597 | − | 0.239623i | −0.916803 | − | 0.399339i | \(-0.869240\pi\) |
0.987163 | + | 0.159716i | \(0.0510578\pi\) | |||||||
\(110\) | 9.26028 | − | 0.567240i | 0.882933 | − | 0.0540842i | ||||
\(111\) | −3.39887 | − | 0.386523i | −0.322607 | − | 0.0366871i | ||||
\(112\) | −0.971605 | + | 2.12752i | −0.0918080 | + | 0.201032i | ||||
\(113\) | 8.66822 | − | 1.24630i | 0.815437 | − | 0.117242i | 0.278038 | − | 0.960570i | \(-0.410316\pi\) |
0.537399 | + | 0.843328i | \(0.319407\pi\) | |||||||
\(114\) | −3.43028 | + | 8.13984i | −0.321275 | + | 0.762366i | ||||
\(115\) | 0.656714 | − | 10.7037i | 0.0612389 | − | 0.998123i | ||||
\(116\) | − | 3.16714i | − | 0.294062i | ||||||
\(117\) | −11.4590 | − | 8.79954i | −1.05939 | − | 0.813517i | ||||
\(118\) | 3.35896 | + | 1.53398i | 0.309217 | + | 0.141215i | ||||
\(119\) | 4.85076 | + | 16.5202i | 0.444668 | + | 1.51440i | ||||
\(120\) | 3.65429 | + | 1.28302i | 0.333590 | + | 0.117124i | ||||
\(121\) | −5.96317 | − | 1.75094i | −0.542106 | − | 0.159177i | ||||
\(122\) | 3.27877 | + | 5.10187i | 0.296846 | + | 0.461902i | ||||
\(123\) | 18.8430 | − | 0.557261i | 1.69901 | − | 0.0502466i | ||||
\(124\) | −0.820804 | − | 0.947258i | −0.0737104 | − | 0.0850663i | ||||
\(125\) | 10.9926 | − | 2.04050i | 0.983204 | − | 0.182507i | ||||
\(126\) | 5.66827 | − | 4.13568i | 0.504970 | − | 0.368436i | ||||
\(127\) | −1.45735 | − | 0.209535i | −0.129319 | − | 0.0185932i | 0.0773516 | − | 0.997004i | \(-0.475354\pi\) |
−0.206670 | + | 0.978411i | \(0.566263\pi\) | |||||||
\(128\) | 0.841254 | + | 0.540641i | 0.0743570 | + | 0.0477863i | ||||
\(129\) | 3.33379 | + | 10.2253i | 0.293524 | + | 0.900292i | ||||
\(130\) | −10.0508 | − | 3.86624i | −0.881517 | − | 0.339092i | ||||
\(131\) | 1.40959 | + | 2.19337i | 0.123157 | + | 0.191635i | 0.897357 | − | 0.441305i | \(-0.145484\pi\) |
−0.774201 | + | 0.632940i | \(0.781848\pi\) | |||||||
\(132\) | −5.56788 | − | 4.54350i | −0.484622 | − | 0.395461i | ||||
\(133\) | 9.01443 | + | 7.81105i | 0.781651 | + | 0.677304i | ||||
\(134\) | 1.08511 | − | 0.318616i | 0.0937389 | − | 0.0275242i | ||||
\(135\) | −7.67073 | − | 8.72696i | −0.660191 | − | 0.751098i | ||||
\(136\) | 7.28655 | − | 1.04765i | 0.624816 | − | 0.0898350i | ||||
\(137\) | − | 8.93937i | − | 0.763742i | −0.924216 | − | 0.381871i | \(-0.875280\pi\) | ||
0.924216 | − | 0.381871i | \(-0.124720\pi\) | |||||||
\(138\) | −5.99853 | + | 5.74609i | −0.510629 | + | 0.489140i | ||||
\(139\) | −1.72575 | −0.146376 | −0.0731880 | − | 0.997318i | \(-0.523317\pi\) | ||||
−0.0731880 | + | 0.997318i | \(0.523317\pi\) | |||||||
\(140\) | 3.17679 | − | 4.15449i | 0.268487 | − | 0.351118i | ||||
\(141\) | 8.61124 | − | 7.91929i | 0.725197 | − | 0.666924i | ||||
\(142\) | −0.108558 | − | 0.369714i | −0.00910996 | − | 0.0310257i | ||||
\(143\) | 15.1012 | + | 13.0853i | 1.26283 | + | 1.09425i | ||||
\(144\) | −1.40533 | − | 2.65048i | −0.117111 | − | 0.220873i | ||||
\(145\) | −1.57603 | + | 6.90435i | −0.130882 | + | 0.573375i | ||||
\(146\) | −15.1613 | + | 6.92393i | −1.25476 | + | 0.573029i | ||||
\(147\) | 0.821252 | + | 2.51893i | 0.0677357 | + | 0.207758i | ||||
\(148\) | 1.66147 | + | 1.06776i | 0.136572 | + | 0.0877693i | ||||
\(149\) | 2.78753 | − | 19.3877i | 0.228363 | − | 1.58830i | −0.476640 | − | 0.879099i | \(-0.658145\pi\) |
0.705003 | − | 0.709204i | \(-0.250946\pi\) | |||||||
\(150\) | −7.32788 | − | 4.61543i | −0.598319 | − | 0.376848i | ||||
\(151\) | 10.1818 | + | 6.54342i | 0.828580 | + | 0.532496i | 0.884826 | − | 0.465921i | \(-0.154277\pi\) |
−0.0562462 | + | 0.998417i | \(0.517913\pi\) | |||||||
\(152\) | 3.85417 | − | 3.33966i | 0.312614 | − | 0.270882i | ||||
\(153\) | −20.5958 | − | 7.97101i | −1.66507 | − | 0.644418i | ||||
\(154\) | −8.16370 | + | 5.24649i | −0.657850 | + | 0.422774i | ||||
\(155\) | 1.31798 | + | 2.47347i | 0.105862 | + | 0.198673i | ||||
\(156\) | 3.68796 | + | 7.48193i | 0.295273 | + | 0.599034i | ||||
\(157\) | −21.4105 | + | 6.28669i | −1.70874 | + | 0.501732i | −0.982588 | − | 0.185798i | \(-0.940513\pi\) |
−0.726155 | + | 0.687531i | \(0.758695\pi\) | |||||||
\(158\) | 6.26146 | + | 2.85951i | 0.498135 | + | 0.227491i | ||||
\(159\) | 22.0066 | + | 5.76088i | 1.74524 | + | 0.456868i | ||||
\(160\) | −1.56490 | − | 1.59722i | −0.123716 | − | 0.126271i | ||||
\(161\) | 4.86625 | + | 10.1063i | 0.383514 | + | 0.796490i | ||||
\(162\) | −0.220822 | + | 8.99729i | −0.0173494 | + | 0.706894i | ||||
\(163\) | 1.02510 | − | 0.147387i | 0.0802918 | − | 0.0115442i | −0.102052 | − | 0.994779i | \(-0.532541\pi\) |
0.182344 | + | 0.983235i | \(0.441632\pi\) | |||||||
\(164\) | −9.90021 | − | 4.52127i | −0.773077 | − | 0.353052i | ||||
\(165\) | 9.87703 | + | 12.6755i | 0.768926 | + | 0.986786i | ||||
\(166\) | 12.0367 | + | 10.4298i | 0.934227 | + | 0.809512i | ||||
\(167\) | −6.36947 | − | 1.87024i | −0.492884 | − | 0.144724i | 0.0258390 | − | 0.999666i | \(-0.491774\pi\) |
−0.518723 | + | 0.854942i | \(0.673592\pi\) | |||||||
\(168\) | −3.99103 | + | 0.694808i | −0.307914 | + | 0.0536056i | ||||
\(169\) | −4.23451 | − | 9.27227i | −0.325731 | − | 0.713252i | ||||
\(170\) | −16.4060 | − | 1.34205i | −1.25828 | − | 0.102931i | ||||
\(171\) | −14.9885 | + | 3.06846i | −1.14620 | + | 0.234651i | ||||
\(172\) | 0.883697 | − | 6.14625i | 0.0673813 | − | 0.468647i | ||||
\(173\) | −0.524760 | + | 3.64979i | −0.0398968 | + | 0.277488i | −0.999998 | − | 0.00216564i | \(-0.999311\pi\) |
0.960101 | + | 0.279654i | \(0.0902197\pi\) | |||||||
\(174\) | 4.52513 | − | 3.10089i | 0.343049 | − | 0.235078i | ||||
\(175\) | −8.99272 | + | 7.47594i | −0.679786 | + | 0.565128i | ||||
\(176\) | 1.72359 | + | 3.77414i | 0.129921 | + | 0.284487i | ||||
\(177\) | 1.09697 | + | 6.30109i | 0.0824535 | + | 0.473619i | ||||
\(178\) | 14.9081 | + | 4.37740i | 1.11741 | + | 0.328100i | ||||
\(179\) | −12.0244 | − | 10.4192i | −0.898750 | − | 0.778771i | 0.0771436 | − | 0.997020i | \(-0.475420\pi\) |
−0.975893 | + | 0.218249i | \(0.929965\pi\) | |||||||
\(180\) | 1.74470 | + | 6.47735i | 0.130042 | + | 0.482793i | ||||
\(181\) | 6.62705 | + | 3.02647i | 0.492585 | + | 0.224956i | 0.646190 | − | 0.763176i | \(-0.276361\pi\) |
−0.153606 | + | 0.988132i | \(0.549089\pi\) | |||||||
\(182\) | 11.1493 | − | 1.60302i | 0.826440 | − | 0.118824i | ||||
\(183\) | −4.07924 | + | 9.67978i | −0.301546 | + | 0.715550i | ||||
\(184\) | 4.57313 | − | 1.44447i | 0.337136 | − | 0.106488i | ||||
\(185\) | −3.09065 | − | 3.15449i | −0.227229 | − | 0.231922i | ||||
\(186\) | 0.549786 | − | 2.10019i | 0.0403122 | − | 0.153993i | ||||
\(187\) | 27.7833 | + | 12.6882i | 2.03171 | + | 0.927852i | ||||
\(188\) | −6.48086 | + | 1.90295i | −0.472666 | + | 0.138787i | ||||
\(189\) | 11.4587 | + | 4.04952i | 0.833495 | + | 0.294559i | ||||
\(190\) | −10.0639 | + | 5.36253i | −0.730115 | + | 0.389039i | ||||
\(191\) | 9.29975 | − | 5.97659i | 0.672906 | − | 0.432451i | −0.159066 | − | 0.987268i | \(-0.550848\pi\) |
0.831972 | + | 0.554817i | \(0.187212\pi\) | |||||||
\(192\) | 0.0512012 | + | 1.73129i | 0.00369513 | + | 0.124945i | ||||
\(193\) | −3.75659 | + | 3.25511i | −0.270406 | + | 0.234308i | −0.779499 | − | 0.626404i | \(-0.784526\pi\) |
0.509093 | + | 0.860711i | \(0.329981\pi\) | |||||||
\(194\) | 7.30455 | + | 4.69435i | 0.524436 | + | 0.337035i | ||||
\(195\) | −4.31659 | − | 18.1458i | −0.309118 | − | 1.29944i | ||||
\(196\) | 0.217692 | − | 1.51408i | 0.0155494 | − | 0.108149i | ||||
\(197\) | 15.9181 | + | 10.2299i | 1.13412 | + | 0.728852i | 0.966415 | − | 0.256986i | \(-0.0827294\pi\) |
0.167701 | + | 0.985838i | \(0.446366\pi\) | |||||||
\(198\) | 1.04023 | − | 12.4037i | 0.0739263 | − | 0.881494i | ||||
\(199\) | −2.89119 | + | 1.32036i | −0.204951 | + | 0.0935980i | −0.515246 | − | 0.857042i | \(-0.672299\pi\) |
0.310295 | + | 0.950640i | \(0.399572\pi\) | |||||||
\(200\) | 2.61666 | + | 4.26064i | 0.185026 | + | 0.301273i | ||||
\(201\) | 1.51764 | + | 1.23842i | 0.107046 | + | 0.0873516i | ||||
\(202\) | −2.88426 | − | 2.49923i | −0.202936 | − | 0.175845i | ||||
\(203\) | −2.08695 | − | 7.10750i | −0.146475 | − | 0.498848i | ||||
\(204\) | 8.63098 | + | 9.38511i | 0.604289 | + | 0.657089i | ||||
\(205\) | 19.3325 | + | 14.7829i | 1.35024 | + | 1.03248i | ||||
\(206\) | 11.2083 | 0.780916 | ||||||||
\(207\) | −14.0829 | − | 2.94467i | −0.978831 | − | 0.204668i | ||||
\(208\) | − | 4.81596i | − | 0.333926i | ||||||
\(209\) | 20.9441 | − | 3.01131i | 1.44874 | − | 0.208297i | ||||
\(210\) | 9.04617 | + | 0.471329i | 0.624245 | + | 0.0325248i | ||||
\(211\) | −5.95073 | + | 1.74729i | −0.409665 | + | 0.120288i | −0.480070 | − | 0.877230i | \(-0.659389\pi\) |
0.0704055 | + | 0.997518i | \(0.477571\pi\) | |||||||
\(212\) | −9.92577 | − | 8.60073i | −0.681705 | − | 0.590700i | ||||
\(213\) | 0.421951 | − | 0.517084i | 0.0289116 | − | 0.0354300i | ||||
\(214\) | −5.99851 | − | 9.33386i | −0.410049 | − | 0.638049i | ||||
\(215\) | −4.98494 | + | 12.9590i | −0.339970 | + | 0.883800i | ||||
\(216\) | 2.41100 | − | 4.60294i | 0.164048 | − | 0.313190i | ||||
\(217\) | −2.46618 | − | 1.58492i | −0.167415 | − | 0.107591i | ||||
\(218\) | −2.58082 | − | 0.371066i | −0.174795 | − | 0.0251317i | ||||
\(219\) | −24.7369 | − | 14.8830i | −1.67156 | − | 1.00570i | ||||
\(220\) | −1.87934 | − | 9.08530i | −0.126705 | − | 0.612531i | ||||
\(221\) | −23.2165 | − | 26.7933i | −1.56171 | − | 1.80231i | ||||
\(222\) | 0.101122 | + | 3.41929i | 0.00678685 | + | 0.229487i | ||||
\(223\) | 1.38258 | + | 2.15134i | 0.0925847 | + | 0.144065i | 0.884456 | − | 0.466623i | \(-0.154529\pi\) |
−0.791872 | + | 0.610688i | \(0.790893\pi\) | |||||||
\(224\) | 2.24414 | + | 0.658938i | 0.149943 | + | 0.0440272i | ||||
\(225\) | −0.580182 | − | 14.9888i | −0.0386788 | − | 0.999252i | ||||
\(226\) | −2.46723 | − | 8.40262i | −0.164118 | − | 0.558934i | ||||
\(227\) | 3.00561 | + | 1.37261i | 0.199489 | + | 0.0911036i | 0.512655 | − | 0.858595i | \(-0.328662\pi\) |
−0.313165 | + | 0.949699i | \(0.601389\pi\) | |||||||
\(228\) | 8.54517 | + | 2.23695i | 0.565918 | + | 0.148146i | ||||
\(229\) | 13.0423i | 0.861861i | 0.902385 | + | 0.430930i | \(0.141815\pi\) | ||||
−0.902385 | + | 0.430930i | \(0.858185\pi\) | |||||||
\(230\) | −10.6882 | + | 0.873263i | −0.704758 | + | 0.0575812i | ||||
\(231\) | −15.4890 | − | 6.52735i | −1.01910 | − | 0.429468i | ||||
\(232\) | −3.13490 | + | 0.450731i | −0.205816 | + | 0.0295919i | ||||
\(233\) | −0.0172536 | + | 0.0377800i | −0.00113032 | + | 0.00247505i | −0.910196 | − | 0.414177i | \(-0.864069\pi\) |
0.909066 | + | 0.416652i | \(0.136797\pi\) | |||||||
\(234\) | −7.07918 | + | 12.5947i | −0.462781 | + | 0.823340i | ||||
\(235\) | 15.0752 | − | 0.923433i | 0.983397 | − | 0.0602382i | ||||
\(236\) | 1.04034 | − | 3.54308i | 0.0677204 | − | 0.230635i | ||||
\(237\) | 2.04488 | + | 11.7459i | 0.132829 | + | 0.762980i | ||||
\(238\) | 15.6617 | − | 7.15245i | 1.01520 | − | 0.463624i | ||||
\(239\) | 17.2040 | − | 14.9073i | 1.11283 | − | 0.964275i | 0.113262 | − | 0.993565i | \(-0.463870\pi\) |
0.999571 | + | 0.0292902i | \(0.00932468\pi\) | |||||||
\(240\) | 0.749905 | − | 3.79969i | 0.0484061 | − | 0.245269i | ||||
\(241\) | −0.846017 | − | 0.121639i | −0.0544968 | − | 0.00783545i | 0.115013 | − | 0.993364i | \(-0.463309\pi\) |
−0.169509 | + | 0.985529i | \(0.554218\pi\) | |||||||
\(242\) | −0.884475 | + | 6.15166i | −0.0568562 | + | 0.395443i | ||||
\(243\) | −13.0713 | + | 8.49357i | −0.838525 | + | 0.544863i | ||||
\(244\) | 4.58333 | − | 3.97147i | 0.293417 | − | 0.254248i | ||||
\(245\) | −1.22800 | + | 3.19236i | −0.0784541 | + | 0.203952i | ||||
\(246\) | −3.23322 | − | 18.5719i | −0.206143 | − | 1.18410i | ||||
\(247\) | −23.5655 | − | 6.91947i | −1.49944 | − | 0.440275i | ||||
\(248\) | −0.820804 | + | 0.947258i | −0.0521211 | + | 0.0601510i | ||||
\(249\) | −3.11701 | + | 27.4094i | −0.197533 | + | 1.73700i | ||||
\(250\) | −3.58413 | − | 10.5903i | −0.226680 | − | 0.669788i | ||||
\(251\) | 0.707153 | + | 4.91836i | 0.0446351 | + | 0.310444i | 0.999892 | + | 0.0146680i | \(0.00466914\pi\) |
−0.955257 | + | 0.295776i | \(0.904422\pi\) | |||||||
\(252\) | −4.90026 | − | 5.02201i | −0.308688 | − | 0.316357i | ||||
\(253\) | 19.2024 | + | 5.21646i | 1.20724 | + | 0.327956i | ||||
\(254\) | 1.47233i | 0.0923823i | ||||||||
\(255\) | −14.1453 | − | 24.7544i | −0.885812 | − | 1.55018i | ||||
\(256\) | 0.415415 | − | 0.909632i | 0.0259634 | − | 0.0568520i | ||||
\(257\) | −23.4483 | + | 6.88505i | −1.46267 | + | 0.429478i | −0.913708 | − | 0.406371i | \(-0.866794\pi\) |
−0.548959 | + | 0.835849i | \(0.684976\pi\) | |||||||
\(258\) | 9.64682 | − | 4.75507i | 0.600585 | − | 0.296038i | ||||
\(259\) | 4.43214 | + | 1.30140i | 0.275400 | + | 0.0808648i | ||||
\(260\) | −2.39651 | + | 10.4988i | −0.148625 | + | 0.651105i | ||||
\(261\) | 8.86094 | + | 3.42938i | 0.548479 | + | 0.212273i | ||||
\(262\) | 1.97044 | − | 1.70739i | 0.121734 | − | 0.105483i | ||||
\(263\) | −10.3149 | + | 16.0503i | −0.636046 | + | 0.989706i | 0.362292 | + | 0.932065i | \(0.381994\pi\) |
−0.998337 | + | 0.0576416i | \(0.981642\pi\) | |||||||
\(264\) | −3.70486 | + | 6.15782i | −0.228019 | + | 0.378988i | ||||
\(265\) | 17.3582 | + | 23.6888i | 1.06631 | + | 1.45519i | ||||
\(266\) | 6.44866 | − | 10.0343i | 0.395393 | − | 0.615243i | ||||
\(267\) | 8.34188 | + | 25.5861i | 0.510515 | + | 1.56584i | ||||
\(268\) | −0.469800 | − | 1.02872i | −0.0286976 | − | 0.0628389i | ||||
\(269\) | 4.99311 | + | 7.76944i | 0.304436 | + | 0.473711i | 0.959440 | − | 0.281914i | \(-0.0909694\pi\) |
−0.655004 | + | 0.755625i | \(0.727333\pi\) | |||||||
\(270\) | −7.54648 | + | 8.83463i | −0.459264 | + | 0.537658i | ||||
\(271\) | 9.17490 | − | 10.5884i | 0.557335 | − | 0.643199i | −0.405241 | − | 0.914210i | \(-0.632812\pi\) |
0.962576 | + | 0.271011i | \(0.0873578\pi\) | |||||||
\(272\) | −2.07397 | − | 7.06329i | −0.125753 | − | 0.428275i | ||||
\(273\) | 13.2064 | + | 14.3603i | 0.799289 | + | 0.869127i | ||||
\(274\) | −8.84838 | + | 1.27221i | −0.534550 | + | 0.0768568i | ||||
\(275\) | −0.424053 | + | 20.7411i | −0.0255714 | + | 1.25074i | ||||
\(276\) | 6.54129 | + | 5.11972i | 0.393739 | + | 0.308171i | ||||
\(277\) | − | 18.1513i | − | 1.09060i | −0.838240 | − | 0.545302i | \(-0.816415\pi\) | ||
0.838240 | − | 0.545302i | \(-0.183585\pi\) | |||||||
\(278\) | 0.245599 | + | 1.70818i | 0.0147301 | + | 0.102450i | ||||
\(279\) | 3.53898 | − | 1.27073i | 0.211873 | − | 0.0760769i | ||||
\(280\) | −4.56431 | − | 2.55320i | −0.272770 | − | 0.152583i | ||||
\(281\) | −7.87946 | + | 9.09338i | −0.470049 | + | 0.542466i | −0.940425 | − | 0.340000i | \(-0.889573\pi\) |
0.470376 | + | 0.882466i | \(0.344118\pi\) | |||||||
\(282\) | −9.06419 | − | 7.39656i | −0.539764 | − | 0.440458i | ||||
\(283\) | −14.1573 | + | 9.09834i | −0.841564 | + | 0.540840i | −0.888933 | − | 0.458037i | \(-0.848553\pi\) |
0.0473690 | + | 0.998877i | \(0.484916\pi\) | |||||||
\(284\) | −0.350501 | + | 0.160068i | −0.0207984 | + | 0.00949832i | ||||
\(285\) | −17.5153 | − | 9.12876i | −1.03752 | − | 0.540741i | ||||
\(286\) | 10.8030 | − | 16.8098i | 0.638794 | − | 0.993983i | ||||
\(287\) | −25.1967 | − | 3.62273i | −1.48731 | − | 0.213843i | ||||
\(288\) | −2.42350 | + | 1.76823i | −0.142806 | + | 0.104194i | ||||
\(289\) | −31.2874 | − | 20.1072i | −1.84043 | − | 1.18277i | ||||
\(290\) | 7.05836 | + | 0.577393i | 0.414481 | + | 0.0339057i | ||||
\(291\) | 0.444577 | + | 15.0327i | 0.0260616 | + | 0.881233i | ||||
\(292\) | 9.01113 | + | 14.0216i | 0.527337 | + | 0.820552i | ||||
\(293\) | 2.19741 | − | 7.48370i | 0.128374 | − | 0.437203i | −0.870072 | − | 0.492925i | \(-0.835928\pi\) |
0.998446 | + | 0.0557220i | \(0.0177460\pi\) | |||||||
\(294\) | 2.37642 | − | 1.17137i | 0.138596 | − | 0.0683160i | ||||
\(295\) | −4.03104 | + | 7.20619i | −0.234696 | + | 0.419561i | ||||
\(296\) | 0.820440 | − | 1.79651i | 0.0476871 | − | 0.104420i | ||||
\(297\) | 18.7406 | − | 10.6580i | 1.08744 | − | 0.618439i | ||||
\(298\) | −19.5871 | −1.13465 | ||||||||
\(299\) | −17.7592 | − | 14.7668i | −1.02704 | − | 0.853986i | ||||
\(300\) | −3.52558 | + | 7.91014i | −0.203550 | + | 0.456692i | ||||
\(301\) | −2.06686 | − | 14.3753i | −0.119132 | − | 0.828580i | ||||
\(302\) | 5.02780 | − | 11.0094i | 0.289318 | − | 0.633517i | ||||
\(303\) | 0.746908 | − | 6.56791i | 0.0429088 | − | 0.377317i | ||||
\(304\) | −3.85417 | − | 3.33966i | −0.221052 | − | 0.191542i | ||||
\(305\) | −11.9679 | + | 6.37705i | −0.685280 | + | 0.365149i | ||||
\(306\) | −4.95879 | + | 21.5205i | −0.283475 | + | 1.23025i | ||||
\(307\) | 12.9762 | − | 5.92604i | 0.740592 | − | 0.338217i | −0.00914055 | − | 0.999958i | \(-0.502910\pi\) |
0.749732 | + | 0.661741i | \(0.230182\pi\) | |||||||
\(308\) | 6.35490 | + | 7.33395i | 0.362104 | + | 0.417891i | ||||
\(309\) | 10.9738 | + | 16.0141i | 0.624277 | + | 0.911009i | ||||
\(310\) | 2.26072 | − | 1.65657i | 0.128400 | − | 0.0940869i | ||||
\(311\) | −11.3575 | − | 1.63297i | −0.644026 | − | 0.0925970i | −0.187440 | − | 0.982276i | \(-0.560019\pi\) |
−0.456586 | + | 0.889679i | \(0.650928\pi\) | |||||||
\(312\) | 6.88092 | − | 4.71521i | 0.389555 | − | 0.266946i | ||||
\(313\) | −6.95776 | − | 8.02969i | −0.393276 | − | 0.453865i | 0.524236 | − | 0.851573i | \(-0.324351\pi\) |
−0.917512 | + | 0.397708i | \(0.869806\pi\) | |||||||
\(314\) | 9.26973 | + | 20.2979i | 0.523121 | + | 1.14548i | ||||
\(315\) | 8.18351 | + | 13.3864i | 0.461088 | + | 0.754239i | ||||
\(316\) | 1.93931 | − | 6.60468i | 0.109095 | − | 0.371542i | ||||
\(317\) | 14.4422 | − | 16.6672i | 0.811153 | − | 0.936121i | −0.187784 | − | 0.982210i | \(-0.560130\pi\) |
0.998937 | + | 0.0460894i | \(0.0146759\pi\) | |||||||
\(318\) | 2.57037 | − | 22.6025i | 0.144139 | − | 1.26749i | ||||
\(319\) | −11.9532 | − | 5.45886i | −0.669253 | − | 0.305637i | ||||
\(320\) | −1.35825 | + | 1.77627i | −0.0759286 | + | 0.0992968i | ||||
\(321\) | 7.46296 | − | 17.7091i | 0.416542 | − | 0.988427i | ||||
\(322\) | 9.31091 | − | 6.25499i | 0.518877 | − | 0.348577i | ||||
\(323\) | −37.5421 | −2.08890 | ||||||||
\(324\) | 8.93714 | − | 1.06187i | 0.496508 | − | 0.0589930i | ||||
\(325\) | 10.4487 | − | 21.6947i | 0.579592 | − | 1.20340i | ||||
\(326\) | −0.291773 | − | 0.993687i | −0.0161598 | − | 0.0550353i | ||||
\(327\) | −1.99666 | − | 4.05071i | −0.110416 | − | 0.224005i | ||||
\(328\) | −3.06631 | + | 10.4429i | −0.169309 | + | 0.576612i | ||||
\(329\) | −13.2900 | + | 8.54098i | −0.732702 | + | 0.470879i | ||||
\(330\) | 11.1408 | − | 11.5804i | 0.613282 | − | 0.637480i | ||||
\(331\) | 12.3913 | + | 14.3004i | 0.681090 | + | 0.786019i | 0.986069 | − | 0.166340i | \(-0.0531948\pi\) |
−0.304979 | + | 0.952359i | \(0.598649\pi\) | |||||||
\(332\) | 8.61068 | − | 13.3985i | 0.472572 | − | 0.735337i | ||||
\(333\) | −4.78639 | + | 3.49224i | −0.262292 | + | 0.191374i | ||||
\(334\) | −0.944738 | + | 6.57080i | −0.0516938 | + | 0.359538i | ||||
\(335\) | 0.512252 | + | 2.47638i | 0.0279873 | + | 0.135299i | ||||
\(336\) | 1.25572 | + | 3.85152i | 0.0685050 | + | 0.210118i | ||||
\(337\) | −2.17083 | − | 4.75346i | −0.118253 | − | 0.258938i | 0.841245 | − | 0.540655i | \(-0.181823\pi\) |
−0.959498 | + | 0.281717i | \(0.909096\pi\) | |||||||
\(338\) | −8.57526 | + | 5.51099i | −0.466433 | + | 0.299758i | ||||
\(339\) | 9.58984 | − | 11.7520i | 0.520848 | − | 0.638279i | ||||
\(340\) | 1.00642 | + | 16.4300i | 0.0545808 | + | 0.891040i | ||||
\(341\) | −4.98982 | + | 1.46514i | −0.270214 | + | 0.0793419i | ||||
\(342\) | 5.17032 | + | 14.3993i | 0.279579 | + | 0.778624i | ||||
\(343\) | −2.83915 | − | 19.7467i | −0.153300 | − | 1.06622i | ||||
\(344\) | −6.20945 | −0.334791 | ||||||||
\(345\) | −11.7123 | − | 14.4160i | −0.630569 | − | 0.776133i | ||||
\(346\) | 3.68732 | 0.198232 | ||||||||
\(347\) | −1.50759 | − | 10.4855i | −0.0809314 | − | 0.562890i | −0.989431 | − | 0.145005i | \(-0.953680\pi\) |
0.908500 | − | 0.417886i | \(-0.137229\pi\) | |||||||
\(348\) | −3.71332 | − | 4.03777i | −0.199055 | − | 0.216447i | ||||
\(349\) | −6.26294 | + | 1.83896i | −0.335247 | + | 0.0984375i | −0.445024 | − | 0.895519i | \(-0.646805\pi\) |
0.109776 | + | 0.993956i | \(0.464987\pi\) | |||||||
\(350\) | 8.67964 | + | 7.83725i | 0.463946 | + | 0.418919i | ||||
\(351\) | −24.9261 | + | 2.21666i | −1.33046 | + | 0.118317i | ||||
\(352\) | 3.49043 | − | 2.24317i | 0.186041 | − | 0.119561i | ||||
\(353\) | 4.32225 | + | 9.46440i | 0.230050 | + | 0.503739i | 0.989091 | − | 0.147303i | \(-0.0470593\pi\) |
−0.759041 | + | 0.651042i | \(0.774332\pi\) | |||||||
\(354\) | 6.08084 | − | 1.98255i | 0.323193 | − | 0.105371i | ||||
\(355\) | 0.843743 | − | 0.174533i | 0.0447813 | − | 0.00926324i | ||||
\(356\) | 2.21121 | − | 15.3793i | 0.117194 | − | 0.815100i | ||||
\(357\) | 25.5533 | + | 15.3742i | 1.35242 | + | 0.813689i | ||||
\(358\) | −8.60193 | + | 13.3849i | −0.454626 | + | 0.707412i | ||||
\(359\) | −15.6130 | − | 18.0183i | −0.824021 | − | 0.950971i | 0.175417 | − | 0.984494i | \(-0.443873\pi\) |
−0.999438 | + | 0.0335237i | \(0.989327\pi\) | |||||||
\(360\) | 6.16312 | − | 2.64876i | 0.324825 | − | 0.139602i | ||||
\(361\) | −5.89545 | + | 3.78878i | −0.310287 | + | 0.199409i | ||||
\(362\) | 2.05254 | − | 6.99031i | 0.107879 | − | 0.367402i | ||||
\(363\) | −9.65531 | + | 4.75926i | −0.506772 | + | 0.249796i | ||||
\(364\) | −3.17342 | − | 10.8077i | −0.166332 | − | 0.566476i | ||||
\(365\) | −12.6668 | − | 35.0511i | −0.663012 | − | 1.83466i | ||||
\(366\) | 10.1618 | + | 2.66015i | 0.531165 | + | 0.139048i | ||||
\(367\) | 11.9447 | 0.623508 | 0.311754 | − | 0.950163i | \(-0.399083\pi\) | ||||
0.311754 | + | 0.950163i | \(0.399083\pi\) | |||||||
\(368\) | −2.08059 | − | 4.32101i | −0.108458 | − | 0.225248i | ||||
\(369\) | 23.3695 | − | 22.8029i | 1.21657 | − | 1.18707i | ||||
\(370\) | −2.68253 | + | 3.50812i | −0.139458 | + | 0.182379i | ||||
\(371\) | −27.9421 | − | 12.7607i | −1.45068 | − | 0.662505i | ||||
\(372\) | −2.15705 | − | 0.245302i | −0.111838 | − | 0.0127183i | ||||
\(373\) | 3.67482 | − | 4.24097i | 0.190275 | − | 0.219589i | −0.652594 | − | 0.757708i | \(-0.726319\pi\) |
0.842869 | + | 0.538119i | \(0.180865\pi\) | |||||||
\(374\) | 8.60507 | − | 29.3062i | 0.444958 | − | 1.51539i | ||||
\(375\) | 11.6220 | − | 15.4897i | 0.600156 | − | 0.799883i | ||||
\(376\) | 2.80591 | + | 6.14408i | 0.144704 | + | 0.316857i | ||||
\(377\) | 9.98846 | + | 11.5273i | 0.514432 | + | 0.593686i | ||||
\(378\) | 2.37757 | − | 11.9183i | 0.122289 | − | 0.613013i | ||||
\(379\) | 31.7764 | + | 4.56875i | 1.63224 | + | 0.234681i | 0.896649 | − | 0.442742i | \(-0.145994\pi\) |
0.735593 | + | 0.677423i | \(0.236903\pi\) | |||||||
\(380\) | 6.74020 | + | 9.19834i | 0.345765 | + | 0.471865i | ||||
\(381\) | −2.10363 | + | 1.44153i | −0.107772 | + | 0.0738520i | ||||
\(382\) | −7.23925 | − | 8.35454i | −0.370392 | − | 0.427455i | ||||
\(383\) | 21.8950 | − | 9.99910i | 1.11878 | − | 0.510930i | 0.231813 | − | 0.972760i | \(-0.425534\pi\) |
0.886968 | + | 0.461830i | \(0.152807\pi\) | |||||||
\(384\) | 1.70639 | − | 0.297069i | 0.0870786 | − | 0.0151597i | ||||
\(385\) | −10.2041 | − | 19.1503i | −0.520052 | − | 0.975989i | ||||
\(386\) | 3.75659 | + | 3.25511i | 0.191206 | + | 0.165681i | ||||
\(387\) | 16.2390 | + | 9.12754i | 0.825473 | + | 0.463979i | ||||
\(388\) | 3.60702 | − | 7.89828i | 0.183119 | − | 0.400974i | ||||
\(389\) | −1.32775 | − | 9.23471i | −0.0673196 | − | 0.468218i | −0.995398 | − | 0.0958322i | \(-0.969449\pi\) |
0.928078 | − | 0.372386i | \(-0.121460\pi\) | |||||||
\(390\) | −17.3467 | + | 6.85507i | −0.878387 | + | 0.347120i | ||||
\(391\) | −32.4057 | − | 14.0097i | −1.63883 | − | 0.708500i | ||||
\(392\) | −1.52965 | −0.0772590 | ||||||||
\(393\) | 4.36870 | + | 1.14363i | 0.220372 | + | 0.0576887i | ||||
\(394\) | 7.86042 | − | 17.2119i | 0.396002 | − | 0.867124i | ||||
\(395\) | −7.51429 | + | 13.4331i | −0.378085 | + | 0.675894i | ||||
\(396\) | −12.4255 | + | 0.735586i | −0.624405 | + | 0.0369646i | ||||
\(397\) | 5.07738 | − | 17.2920i | 0.254826 | − | 0.867859i | −0.728351 | − | 0.685204i | \(-0.759713\pi\) |
0.983177 | − | 0.182655i | \(-0.0584690\pi\) | |||||||
\(398\) | 1.71838 | + | 2.67386i | 0.0861347 | + | 0.134028i | ||||
\(399\) | 20.6505 | − | 0.610718i | 1.03382 | − | 0.0305742i | ||||
\(400\) | 3.84489 | − | 3.19638i | 0.192244 | − | 0.159819i | ||||
\(401\) | 17.3106 | + | 11.1248i | 0.864449 | + | 0.555548i | 0.896050 | − | 0.443953i | \(-0.146424\pi\) |
−0.0316008 | + | 0.999501i | \(0.510061\pi\) | |||||||
\(402\) | 1.00983 | − | 1.67844i | 0.0503660 | − | 0.0837128i | ||||
\(403\) | 5.97489 | + | 0.859060i | 0.297630 | + | 0.0427928i | ||||
\(404\) | −2.06332 | + | 3.21058i | −0.102654 | + | 0.159732i | ||||
\(405\) | −20.0113 | − | 2.13240i | −0.994370 | − | 0.105960i | ||||
\(406\) | −6.73815 | + | 3.07721i | −0.334409 | + | 0.152719i | ||||
\(407\) | 6.89357 | − | 4.43023i | 0.341701 | − | 0.219598i | ||||
\(408\) | 8.06127 | − | 9.87877i | 0.399092 | − | 0.489072i | ||||
\(409\) | 2.41616 | − | 2.78840i | 0.119471 | − | 0.137877i | −0.692863 | − | 0.721069i | \(-0.743651\pi\) |
0.812334 | + | 0.583192i | \(0.198196\pi\) | |||||||
\(410\) | 11.8811 | − | 21.2396i | 0.586766 | − | 1.04895i | ||||
\(411\) | −10.4810 | − | 11.3968i | −0.516989 | − | 0.562161i | ||||
\(412\) | −1.59510 | − | 11.0942i | −0.0785850 | − | 0.546571i | ||||
\(413\) | − | 8.63667i | − | 0.424983i | ||||||
\(414\) | −0.910483 | + | 14.3587i | −0.0447478 | + | 0.705689i | ||||
\(415\) | −25.4385 | + | 24.9238i | −1.24873 | + | 1.22346i | ||||
\(416\) | −4.76694 | + | 0.685382i | −0.233718 | + | 0.0336036i | ||||
\(417\) | −2.20015 | + | 2.02336i | −0.107742 | + | 0.0990841i | ||||
\(418\) | −5.96132 | − | 20.3024i | −0.291578 | − | 0.993022i | ||||
\(419\) | −14.6560 | + | 16.9140i | −0.715994 | + | 0.826301i | −0.990819 | − | 0.135193i | \(-0.956834\pi\) |
0.274826 | + | 0.961494i | \(0.411380\pi\) | |||||||
\(420\) | −0.820872 | − | 9.02117i | −0.0400544 | − | 0.440188i | ||||
\(421\) | −7.44651 | − | 11.5870i | −0.362921 | − | 0.564715i | 0.610993 | − | 0.791636i | \(-0.290770\pi\) |
−0.973913 | + | 0.226921i | \(0.927134\pi\) | |||||||
\(422\) | 2.57638 | + | 5.64149i | 0.125416 | + | 0.274623i | ||||
\(423\) | 1.69344 | − | 20.1925i | 0.0823379 | − | 0.981794i | ||||
\(424\) | −7.10060 | + | 11.0487i | −0.344836 | + | 0.536575i | ||||
\(425\) | 5.98186 | − | 36.3181i | 0.290163 | − | 1.76168i | ||||
\(426\) | −0.571871 | − | 0.344067i | −0.0277072 | − | 0.0166701i | ||||
\(427\) | 7.66865 | − | 11.9327i | 0.371112 | − | 0.577462i | ||||
\(428\) | −8.38518 | + | 7.26580i | −0.405313 | + | 0.351206i | ||||
\(429\) | 34.5944 | − | 1.02309i | 1.67023 | − | 0.0493954i | ||||
\(430\) | 13.5366 | + | 3.08994i | 0.652791 | + | 0.149010i | ||||
\(431\) | 17.7323 | + | 5.20668i | 0.854136 | + | 0.250797i | 0.679354 | − | 0.733810i | \(-0.262260\pi\) |
0.174781 | + | 0.984607i | \(0.444078\pi\) | |||||||
\(432\) | −4.89921 | − | 1.73139i | −0.235713 | − | 0.0833018i | ||||
\(433\) | 20.6839 | − | 6.07334i | 0.994004 | − | 0.291866i | 0.256011 | − | 0.966674i | \(-0.417592\pi\) |
0.737993 | + | 0.674808i | \(0.235774\pi\) | |||||||
\(434\) | −1.21781 | + | 2.66664i | −0.0584569 | + | 0.128003i | ||||
\(435\) | 6.08575 | + | 10.6501i | 0.291789 | + | 0.510635i | ||||
\(436\) | 2.60736i | 0.124870i | ||||||||
\(437\) | −24.1330 | + | 3.97245i | −1.15444 | + | 0.190028i | ||||
\(438\) | −11.2111 | + | 26.6032i | −0.535686 | + | 1.27115i | ||||
\(439\) | −1.40002 | − | 9.73732i | −0.0668191 | − | 0.464737i | −0.995569 | − | 0.0940309i | \(-0.970025\pi\) |
0.928750 | − | 0.370706i | \(-0.120884\pi\) | |||||||
\(440\) | −8.72537 | + | 3.15319i | −0.415965 | + | 0.150322i | ||||
\(441\) | 4.00034 | + | 2.24850i | 0.190492 | + | 0.107071i | ||||
\(442\) | −23.2165 | + | 26.7933i | −1.10430 | + | 1.27443i | ||||
\(443\) | −18.5033 | − | 5.43306i | −0.879119 | − | 0.258133i | −0.189130 | − | 0.981952i | \(-0.560567\pi\) |
−0.689989 | + | 0.723820i | \(0.742385\pi\) | |||||||
\(444\) | 3.37009 | − | 0.586708i | 0.159937 | − | 0.0278439i | ||||
\(445\) | −12.4734 | + | 32.4264i | −0.591297 | + | 1.53716i | ||||
\(446\) | 1.93268 | − | 1.67468i | 0.0915152 | − | 0.0792984i | ||||
\(447\) | −19.1773 | − | 27.9855i | −0.907057 | − | 1.32367i | ||||
\(448\) | 0.332857 | − | 2.31507i | 0.0157260 | − | 0.109377i | ||||
\(449\) | −36.4667 | − | 5.24312i | −1.72097 | − | 0.247438i | −0.790150 | − | 0.612914i | \(-0.789997\pi\) |
−0.930821 | + | 0.365476i | \(0.880906\pi\) | |||||||
\(450\) | −14.7536 | + | 2.70740i | −0.695493 | + | 0.127628i | ||||
\(451\) | −34.1279 | + | 29.5720i | −1.60702 | + | 1.39249i | ||||
\(452\) | −7.96597 | + | 3.63794i | −0.374688 | + | 0.171114i | ||||
\(453\) | 20.6525 | − | 3.59545i | 0.970340 | − | 0.168929i | ||||
\(454\) | 0.930900 | − | 3.17036i | 0.0436893 | − | 0.148792i | ||||
\(455\) | 1.53994 | + | 25.1398i | 0.0721936 | + | 1.17857i | ||||
\(456\) | 0.998075 | − | 8.77654i | 0.0467391 | − | 0.410999i | ||||
\(457\) | −2.34541 | + | 5.13574i | −0.109714 | + | 0.240240i | −0.956523 | − | 0.291657i | \(-0.905793\pi\) |
0.846809 | + | 0.531897i | \(0.178521\pi\) | |||||||
\(458\) | 12.9096 | − | 1.85612i | 0.603224 | − | 0.0867306i | ||||
\(459\) | −35.6030 | + | 13.9853i | −1.66181 | + | 0.652780i | ||||
\(460\) | 2.38546 | + | 10.4551i | 0.111223 | + | 0.487473i | ||||
\(461\) | 15.4684i | 0.720434i | 0.932869 | + | 0.360217i | \(0.117297\pi\) | ||||
−0.932869 | + | 0.360217i | \(0.882703\pi\) | |||||||
\(462\) | −4.25660 | + | 16.2603i | −0.198035 | + | 0.756496i | ||||
\(463\) | 17.5125 | + | 7.99767i | 0.813873 | + | 0.371683i | 0.778464 | − | 0.627690i | \(-0.215999\pi\) |
0.0354090 | + | 0.999373i | \(0.488727\pi\) | |||||||
\(464\) | 0.892286 | + | 3.03885i | 0.0414234 | + | 0.141075i | ||||
\(465\) | 4.58030 | + | 1.60815i | 0.212406 | + | 0.0745760i | ||||
\(466\) | 0.0398509 | + | 0.0117013i | 0.00184606 | + | 0.000542051i | ||||
\(467\) | 4.41370 | + | 6.86784i | 0.204241 | + | 0.317806i | 0.928231 | − | 0.372006i | \(-0.121330\pi\) |
−0.723989 | + | 0.689811i | \(0.757693\pi\) | |||||||
\(468\) | 13.4740 | + | 5.21472i | 0.622834 | + | 0.241050i | ||||
\(469\) | −1.73216 | − | 1.99901i | −0.0799835 | − | 0.0923059i | ||||
\(470\) | −3.05946 | − | 14.7903i | −0.141122 | − | 0.682227i | ||||
\(471\) | −19.9253 | + | 33.1176i | −0.918109 | + | 1.52598i | ||||
\(472\) | −3.65507 | − | 0.525520i | −0.168238 | − | 0.0241890i | ||||
\(473\) | −21.6737 | − | 13.9288i | −0.996557 | − | 0.640448i | ||||
\(474\) | 11.3353 | − | 3.69568i | 0.520650 | − | 0.169748i | ||||
\(475\) | −10.1163 | − | 23.4064i | −0.464169 | − | 1.07396i | ||||
\(476\) | −9.30854 | − | 14.4844i | −0.426656 | − | 0.663890i | ||||
\(477\) | 34.8105 | − | 18.4572i | 1.59386 | − | 0.845097i | ||||
\(478\) | −17.2040 | − | 14.9073i | −0.786892 | − | 0.681845i | ||||
\(479\) | 32.5854 | − | 9.56793i | 1.48886 | − | 0.437170i | 0.566686 | − | 0.823934i | \(-0.308225\pi\) |
0.922179 | + | 0.386764i | \(0.126407\pi\) | |||||||
\(480\) | −3.86774 | − | 0.201519i | −0.176537 | − | 0.00919806i | ||||
\(481\) | −9.41465 | + | 1.35362i | −0.429271 | + | 0.0617198i | ||||
\(482\) | 0.854717i | 0.0389313i | ||||||||
\(483\) | 18.0531 | + | 7.17906i | 0.821446 | + | 0.326658i | ||||
\(484\) | 6.21492 | 0.282496 | ||||||||
\(485\) | −11.7936 | + | 15.4233i | −0.535520 | + | 0.700335i | ||||
\(486\) | 10.2674 | + | 11.7295i | 0.465737 | + | 0.532061i | ||||
\(487\) | 4.71268 | + | 16.0499i | 0.213552 | + | 0.727291i | 0.994689 | + | 0.102931i | \(0.0328220\pi\) |
−0.781137 | + | 0.624360i | \(0.785360\pi\) | |||||||
\(488\) | −4.58333 | − | 3.97147i | −0.207477 | − | 0.179780i | ||||
\(489\) | 1.13409 | − | 1.38978i | 0.0512852 | − | 0.0628480i | ||||
\(490\) | 3.33463 | + | 0.761181i | 0.150643 | + | 0.0343867i | ||||
\(491\) | −29.8520 | + | 13.6330i | −1.34720 | + | 0.615247i | −0.952774 | − | 0.303680i | \(-0.901785\pi\) |
−0.394429 | + | 0.918927i | \(0.629058\pi\) | |||||||
\(492\) | −17.9227 | + | 5.84337i | −0.808018 | + | 0.263439i | ||||
\(493\) | 19.6137 | + | 12.6049i | 0.883356 | + | 0.567698i | ||||
\(494\) | −3.49531 | + | 24.3104i | −0.157261 | + | 1.09378i | ||||
\(495\) | 27.4536 | + | 4.57958i | 1.23395 | + | 0.205837i | ||||
\(496\) | 1.05443 | + | 0.677641i | 0.0473453 | + | 0.0304270i | ||||
\(497\) | −0.681097 | + | 0.590174i | −0.0305514 | + | 0.0264729i | ||||
\(498\) | 27.5740 | − | 0.815471i | 1.23562 | − | 0.0365421i | ||||
\(499\) | 9.07107 | − | 5.82962i | 0.406077 | − | 0.260970i | −0.321620 | − | 0.946869i | \(-0.604227\pi\) |
0.727697 | + | 0.685899i | \(0.240591\pi\) | |||||||
\(500\) | −9.97241 | + | 5.05480i | −0.445980 | + | 0.226058i | ||||
\(501\) | −10.3132 | + | 5.08353i | −0.460759 | + | 0.227115i | ||||
\(502\) | 4.76766 | − | 1.39991i | 0.212791 | − | 0.0624811i | ||||
\(503\) | −6.63077 | − | 3.02817i | −0.295651 | − | 0.135019i | 0.262067 | − | 0.965050i | \(-0.415596\pi\) |
−0.557718 | + | 0.830030i | \(0.688323\pi\) | |||||||
\(504\) | −4.27351 | + | 5.56509i | −0.190357 | + | 0.247889i | ||||
\(505\) | 6.09566 | − | 5.97231i | 0.271253 | − | 0.265764i | ||||
\(506\) | 2.43058 | − | 19.7493i | 0.108053 | − | 0.877964i | ||||
\(507\) | −16.2698 | − | 6.85642i | −0.722569 | − | 0.304504i | ||||
\(508\) | 1.45735 | − | 0.209535i | 0.0646593 | − | 0.00929660i | ||||
\(509\) | 31.9324 | + | 14.5830i | 1.41538 | + | 0.646381i | 0.968682 | − | 0.248304i | \(-0.0798733\pi\) |
0.446696 | + | 0.894686i | \(0.352601\pi\) | |||||||
\(510\) | −22.4894 | + | 17.5242i | −0.995846 | + | 0.775986i | ||||
\(511\) | 29.4616 | + | 25.5286i | 1.30330 | + | 1.12932i | ||||
\(512\) | −0.959493 | − | 0.281733i | −0.0424040 | − | 0.0124509i | ||||
\(513\) | −15.5112 | + | 21.4853i | −0.684835 | + | 0.948599i | ||||
\(514\) | 10.1520 | + | 22.2298i | 0.447786 | + | 0.980516i | ||||
\(515\) | −2.04335 | + | 24.9790i | −0.0900407 | + | 1.10071i | ||||
\(516\) | −6.07956 | − | 8.87191i | −0.267638 | − | 0.390564i | ||||
\(517\) | −3.98835 | + | 27.7396i | −0.175408 | + | 1.21999i | ||||
\(518\) | 0.657389 | − | 4.57224i | 0.0288840 | − | 0.200893i | ||||
\(519\) | 3.61019 | + | 5.26835i | 0.158470 | + | 0.231255i | ||||
\(520\) | 10.7330 | + | 0.877984i | 0.470671 | + | 0.0385022i | ||||
\(521\) | 12.7175 | + | 27.8474i | 0.557162 | + | 1.22001i | 0.953356 | + | 0.301848i | \(0.0976035\pi\) |
−0.396194 | + | 0.918167i | \(0.629669\pi\) | |||||||
\(522\) | 2.13343 | − | 9.25880i | 0.0933776 | − | 0.405247i | ||||
\(523\) | −20.3869 | − | 5.98613i | −0.891456 | − | 0.261755i | −0.196240 | − | 0.980556i | \(-0.562873\pi\) |
−0.695216 | + | 0.718801i | \(0.744691\pi\) | |||||||
\(524\) | −1.97044 | − | 1.70739i | −0.0860789 | − | 0.0745878i | ||||
\(525\) | −2.69960 | + | 20.0746i | −0.117820 | + | 0.876126i | ||||
\(526\) | 17.3549 | + | 7.92573i | 0.756711 | + | 0.345578i | ||||
\(527\) | 9.13298 | − | 1.31312i | 0.397839 | − | 0.0572006i | ||||
\(528\) | 6.62240 | + | 2.79080i | 0.288203 | + | 0.121454i | ||||
\(529\) | −22.3137 | − | 5.57683i | −0.970159 | − | 0.242471i | ||||
\(530\) | 20.9773 | − | 20.5528i | 0.911197 | − | 0.892758i | ||||
\(531\) | 8.78625 | + | 6.74708i | 0.381291 | + | 0.292798i | ||||
\(532\) | −10.8499 | − | 4.95499i | −0.470403 | − | 0.214826i | ||||
\(533\) | 50.2925 | − | 14.7672i | 2.17841 | − | 0.639639i | ||||
\(534\) | 24.1385 | − | 11.8982i | 1.04457 | − | 0.514888i | ||||
\(535\) | 21.8952 | − | 11.6668i | 0.946613 | − | 0.504399i | ||||
\(536\) | −0.951387 | + | 0.611420i | −0.0410937 | + | 0.0264093i | ||||
\(537\) | −27.5460 | + | 0.814643i | −1.18870 | + | 0.0351545i | ||||
\(538\) | 6.97976 | − | 6.04800i | 0.300919 | − | 0.260748i | ||||
\(539\) | −5.33914 | − | 3.43126i | −0.229973 | − | 0.147795i | ||||
\(540\) | 9.81868 | + | 6.21237i | 0.422529 | + | 0.267338i | ||||
\(541\) | 0.666518 | − | 4.63574i | 0.0286559 | − | 0.199306i | −0.970464 | − | 0.241245i | \(-0.922444\pi\) |
0.999120 | + | 0.0419388i | \(0.0133535\pi\) | |||||||
\(542\) | −11.7863 | − | 7.57462i | −0.506267 | − | 0.325358i | ||||
\(543\) | 11.9972 | − | 3.91146i | 0.514848 | − | 0.167857i | ||||
\(544\) | −6.69624 | + | 3.05807i | −0.287099 | + | 0.131114i | ||||
\(545\) | 1.29747 | − | 5.68402i | 0.0555774 | − | 0.243477i | ||||
\(546\) | 12.3347 | − | 15.1157i | 0.527876 | − | 0.646892i | ||||
\(547\) | −13.7006 | − | 11.8717i | −0.585797 | − | 0.507596i | 0.310781 | − | 0.950482i | \(-0.399409\pi\) |
−0.896578 | + | 0.442885i | \(0.853955\pi\) | |||||||
\(548\) | 2.51851 | + | 8.57727i | 0.107586 | + | 0.366403i | ||||
\(549\) | 6.14847 | + | 17.1234i | 0.262410 | + | 0.730810i | ||||
\(550\) | 20.5903 | − | 2.53203i | 0.877975 | − | 0.107966i | ||||
\(551\) | 16.1518 | 0.688089 | ||||||||
\(552\) | 4.13669 | − | 7.20332i | 0.176069 | − | 0.306594i | ||||
\(553\) | − | 16.0997i | − | 0.684629i | ||||||
\(554\) | −17.9665 | + | 2.58319i | −0.763323 | + | 0.109749i | ||||
\(555\) | −7.63874 | − | 0.397999i | −0.324246 | − | 0.0168941i | ||||
\(556\) | 1.65584 | − | 0.486199i | 0.0702234 | − | 0.0206194i | ||||
\(557\) | 21.6358 | + | 18.7475i | 0.916737 | + | 0.794357i | 0.979033 | − | 0.203700i | \(-0.0652968\pi\) |
−0.0622960 | + | 0.998058i | \(0.519842\pi\) | |||||||
\(558\) | −1.76145 | − | 3.32212i | −0.0745681 | − | 0.140636i | ||||
\(559\) | 16.1676 | + | 25.1572i | 0.683815 | + | 1.06404i | ||||
\(560\) | −1.87765 | + | 4.88121i | −0.0793451 | + | 0.206269i | ||||
\(561\) | 50.2970 | − | 16.3984i | 2.12354 | − | 0.692342i | ||||
\(562\) | 10.1222 | + | 6.50514i | 0.426979 | + | 0.274403i | ||||
\(563\) | −6.95926 | − | 1.00059i | −0.293298 | − | 0.0421699i | −0.00590472 | − | 0.999983i | \(-0.501880\pi\) |
−0.287393 | + | 0.957813i | \(0.592789\pi\) | |||||||
\(564\) | −6.03130 | + | 10.0246i | −0.253964 | + | 0.422110i | ||||
\(565\) | 19.1761 | − | 3.96667i | 0.806743 | − | 0.166879i | ||||
\(566\) | 11.0205 | + | 12.7184i | 0.463227 | + | 0.534593i | ||||
\(567\) | 19.3565 | − | 8.27201i | 0.812895 | − | 0.347392i | ||||
\(568\) | 0.208321 | + | 0.324153i | 0.00874094 | + | 0.0136012i | ||||
\(569\) | 9.35550 | + | 2.74702i | 0.392203 | + | 0.115161i | 0.471887 | − | 0.881659i | \(-0.343573\pi\) |
−0.0796842 | + | 0.996820i | \(0.525391\pi\) | |||||||
\(570\) | −6.54316 | + | 18.6362i | −0.274063 | + | 0.780582i | ||||
\(571\) | −5.33238 | − | 18.1604i | −0.223153 | − | 0.759989i | −0.992616 | − | 0.121298i | \(-0.961294\pi\) |
0.769463 | − | 0.638691i | \(-0.220524\pi\) | |||||||
\(572\) | −18.1761 | − | 8.30075i | −0.759981 | − | 0.347072i | ||||
\(573\) | 4.84895 | − | 18.5230i | 0.202568 | − | 0.773811i | ||||
\(574\) | 25.4558i | 1.06250i | ||||||||
\(575\) | 0.00236189 | − | 23.9792i | 9.84975e−5 | − | 1.00000i | ||||
\(576\) | 2.09513 | + | 2.14719i | 0.0872973 | + | 0.0894661i | ||||
\(577\) | −24.8903 | + | 3.57868i | −1.03620 | + | 0.148982i | −0.639360 | − | 0.768907i | \(-0.720801\pi\) |
−0.396836 | + | 0.917890i | \(0.629892\pi\) | |||||||
\(578\) | −15.4499 | + | 33.8305i | −0.642629 | + | 1.40716i | ||||
\(579\) | −0.972807 | + | 8.55434i | −0.0404285 | + | 0.355506i | ||||
\(580\) | −0.432994 | − | 7.06869i | −0.0179791 | − | 0.293511i | ||||
\(581\) | 10.4948 | − | 35.7419i | 0.435397 | − | 1.48282i | ||||
\(582\) | 14.8164 | − | 2.57943i | 0.614161 | − | 0.106921i | ||||
\(583\) | −49.5683 | + | 22.6371i | −2.05291 | + | 0.937533i | ||||
\(584\) | 12.5965 | − | 10.9149i | 0.521245 | − | 0.451662i | ||||
\(585\) | −26.7782 | − | 18.0729i | −1.10714 | − | 0.747224i | ||||
\(586\) | −7.72025 | − | 1.11000i | −0.318921 | − | 0.0458539i | ||||
\(587\) | −6.28755 | + | 43.7309i | −0.259515 | + | 1.80497i | 0.276778 | + | 0.960934i | \(0.410733\pi\) |
−0.536293 | + | 0.844032i | \(0.680176\pi\) | |||||||
\(588\) | −1.49765 | − | 2.18553i | −0.0617621 | − | 0.0901296i | ||||
\(589\) | 4.83083 | − | 4.18594i | 0.199051 | − | 0.172478i | ||||
\(590\) | 7.70652 | + | 2.96446i | 0.317273 | + | 0.122045i | ||||
\(591\) | 32.2880 | − | 5.62109i | 1.32815 | − | 0.231221i | ||||
\(592\) | −1.89499 | − | 0.556419i | −0.0778835 | − | 0.0228687i | ||||
\(593\) | 16.1300 | − | 18.6150i | 0.662379 | − | 0.764426i | −0.320785 | − | 0.947152i | \(-0.603947\pi\) |
0.983164 | + | 0.182726i | \(0.0584922\pi\) | |||||||
\(594\) | −13.2166 | − | 17.0331i | −0.542282 | − | 0.698875i | ||||
\(595\) | 13.0849 | + | 36.2079i | 0.536428 | + | 1.48438i | ||||
\(596\) | 2.78753 | + | 19.3877i | 0.114182 | + | 0.794151i | ||||
\(597\) | −2.13790 | + | 5.07310i | −0.0874985 | + | 0.207628i | ||||
\(598\) | −12.0891 | + | 19.6800i | −0.494359 | + | 0.804776i | ||||
\(599\) | 5.65818i | 0.231187i | 0.993297 | + | 0.115594i | \(0.0368770\pi\) | ||||
−0.993297 | + | 0.115594i | \(0.963123\pi\) | |||||||
\(600\) | 8.33137 | + | 2.36397i | 0.340127 | + | 0.0965085i | ||||
\(601\) | −3.82773 | + | 8.38156i | −0.156136 | + | 0.341891i | −0.971493 | − | 0.237068i | \(-0.923814\pi\) |
0.815357 | + | 0.578959i | \(0.196541\pi\) | |||||||
\(602\) | −13.9349 | + | 4.09164i | −0.567943 | + | 0.166763i | ||||
\(603\) | 3.38682 | − | 0.200499i | 0.137922 | − | 0.00816494i | ||||
\(604\) | −11.6128 | − | 3.40983i | −0.472519 | − | 0.138744i | ||||
\(605\) | −13.5485 | − | 3.09265i | −0.550824 | − | 0.125734i | ||||
\(606\) | −6.60736 | + | 0.195406i | −0.268406 | + | 0.00793782i | ||||
\(607\) | −24.4841 | + | 21.2156i | −0.993779 | + | 0.861114i | −0.990309 | − | 0.138880i | \(-0.955650\pi\) |
−0.00346955 | + | 0.999994i | \(0.501104\pi\) | |||||||
\(608\) | −2.75716 | + | 4.29022i | −0.111818 | + | 0.173992i | ||||
\(609\) | −10.9938 | − | 6.61446i | −0.445493 | − | 0.268032i | ||||
\(610\) | 8.01535 | + | 10.9385i | 0.324532 | + | 0.442888i | ||||
\(611\) | 17.5866 | − | 27.3653i | 0.711479 | − | 1.10708i | ||||
\(612\) | 22.0072 | + | 1.84563i | 0.889588 | + | 0.0746051i | ||||
\(613\) | 3.45586 | + | 7.56728i | 0.139581 | + | 0.305640i | 0.966494 | − | 0.256691i | \(-0.0826322\pi\) |
−0.826913 | + | 0.562330i | \(0.809905\pi\) | |||||||
\(614\) | −7.71243 | − | 12.0008i | −0.311248 | − | 0.484312i | ||||
\(615\) | 41.9792 | − | 3.81985i | 1.69276 | − | 0.154031i | ||||
\(616\) | 6.35490 | − | 7.33395i | 0.256046 | − | 0.295493i | ||||
\(617\) | 5.79932 | + | 19.7507i | 0.233472 | + | 0.795132i | 0.989987 | + | 0.141156i | \(0.0450821\pi\) |
−0.756515 | + | 0.653976i | \(0.773100\pi\) | |||||||
\(618\) | 14.2893 | − | 13.1411i | 0.574802 | − | 0.528614i | ||||
\(619\) | 3.01004 | − | 0.432778i | 0.120984 | − | 0.0173948i | −0.0815570 | − | 0.996669i | \(-0.525989\pi\) |
0.202541 | + | 0.979274i | \(0.435080\pi\) | |||||||
\(620\) | −1.96144 | − | 2.00196i | −0.0787735 | − | 0.0804005i | ||||
\(621\) | −21.4067 | + | 12.7574i | −0.859023 | + | 0.511938i | ||||
\(622\) | 11.4743i | 0.460078i | ||||||||
\(623\) | −5.17174 | − | 35.9703i | −0.207202 | − | 1.44112i | ||||
\(624\) | −5.64648 | − | 6.13984i | −0.226040 | − | 0.245790i | ||||
\(625\) | 24.2552 | − | 6.05699i | 0.970206 | − | 0.242280i | ||||
\(626\) | −6.95776 | + | 8.02969i | −0.278088 | + | 0.320931i | ||||
\(627\) | 23.1709 | − | 28.3951i | 0.925358 | − | 1.13399i | ||||
\(628\) | 18.7721 | − | 12.0641i | 0.749086 | − | 0.481409i | ||||
\(629\) | −13.2250 | + | 6.03965i | −0.527315 | + | 0.240817i | ||||
\(630\) | 12.0855 | − | 10.0053i | 0.481499 | − | 0.398621i | ||||
\(631\) | 8.35360 | − | 12.9985i | 0.332552 | − | 0.517460i | −0.634203 | − | 0.773167i | \(-0.718672\pi\) |
0.966755 | + | 0.255706i | \(0.0823080\pi\) | |||||||
\(632\) | −6.81345 | − | 0.979626i | −0.271024 | − | 0.0389674i | ||||
\(633\) | −5.53794 | + | 9.20455i | −0.220113 | + | 0.365848i | ||||
\(634\) | −18.5528 | − | 11.9232i | −0.736828 | − | 0.473530i | ||||
\(635\) | −3.28127 | − | 0.268417i | −0.130213 | − | 0.0106518i | ||||
\(636\) | −22.7382 | + | 0.672460i | −0.901630 | + | 0.0266648i | ||||
\(637\) | 3.98275 | + | 6.19728i | 0.157802 | + | 0.245545i | ||||
\(638\) | −3.70217 | + | 12.6084i | −0.146570 | + | 0.499173i | ||||
\(639\) | −0.0683132 | − | 1.15395i | −0.00270243 | − | 0.0456494i | ||||
\(640\) | 1.95149 | + | 1.09164i | 0.0771396 | + | 0.0431507i | ||||
\(641\) | −6.34196 | + | 13.8870i | −0.250492 | + | 0.548502i | −0.992551 | − | 0.121834i | \(-0.961123\pi\) |
0.742058 | + | 0.670336i | \(0.233850\pi\) | |||||||
\(642\) | −18.5910 | − | 4.86673i | −0.733727 | − | 0.192074i | ||||
\(643\) | −40.8285 | −1.61012 | −0.805059 | − | 0.593194i | \(-0.797867\pi\) | ||||
−0.805059 | + | 0.593194i | \(0.797867\pi\) | |||||||
\(644\) | −7.51641 | − | 8.32596i | −0.296188 | − | 0.328089i | ||||
\(645\) | 8.83858 | + | 22.3660i | 0.348019 | + | 0.880661i | ||||
\(646\) | 5.34279 | + | 37.1599i | 0.210209 | + | 1.46204i | ||||
\(647\) | −1.73917 | + | 3.80826i | −0.0683740 | + | 0.149718i | −0.940733 | − | 0.339147i | \(-0.889862\pi\) |
0.872359 | + | 0.488865i | \(0.162589\pi\) | |||||||
\(648\) | −2.32295 | − | 8.69505i | −0.0912542 | − | 0.341574i | ||||
\(649\) | −11.5789 | − | 10.0332i | −0.454513 | − | 0.393838i | ||||
\(650\) | −22.9609 | − | 7.25491i | −0.900600 | − | 0.284561i | ||||
\(651\) | −5.00236 | + | 0.870874i | −0.196058 | + | 0.0341322i | ||||
\(652\) | −0.942050 | + | 0.430220i | −0.0368935 | + | 0.0168487i | ||||
\(653\) | −28.5889 | − | 32.9934i | −1.11877 | − | 1.29113i | −0.952327 | − | 0.305079i | \(-0.901317\pi\) |
−0.166443 | − | 0.986051i | \(-0.553228\pi\) | |||||||
\(654\) | −3.72533 | + | 2.55281i | −0.145672 | + | 0.0998229i | ||||
\(655\) | 3.44591 | + | 4.70263i | 0.134643 | + | 0.183747i | ||||
\(656\) | 10.7730 | + | 1.54892i | 0.420614 | + | 0.0604752i | ||||
\(657\) | −48.9865 | + | 10.0285i | −1.91115 | + | 0.391251i | ||||
\(658\) | 10.3454 | + | 11.9392i | 0.403306 | + | 0.465440i | ||||
\(659\) | −6.61988 | − | 14.4955i | −0.257874 | − | 0.564665i | 0.735770 | − | 0.677231i | \(-0.236820\pi\) |
−0.993644 | + | 0.112566i | \(0.964093\pi\) | |||||||
\(660\) | −13.0480 | − | 9.37936i | −0.507894 | − | 0.365091i | ||||
\(661\) | −10.1310 | + | 34.5031i | −0.394051 | + | 1.34201i | 0.488815 | + | 0.872388i | \(0.337429\pi\) |
−0.882865 | + | 0.469626i | \(0.844389\pi\) | |||||||
\(662\) | 12.3913 | − | 14.3004i | 0.481603 | − | 0.555800i | ||||
\(663\) | −61.0124 | − | 6.93838i | −2.36952 | − | 0.269464i | ||||
\(664\) | −14.4875 | − | 6.61623i | −0.562225 | − | 0.256760i | ||||
\(665\) | 21.1871 | + | 16.2010i | 0.821599 | + | 0.628246i | ||||
\(666\) | 4.13787 | + | 4.24067i | 0.160339 | + | 0.164323i | ||||
\(667\) | 13.9420 | + | 6.02740i | 0.539835 | + | 0.233382i | ||||
\(668\) | 6.63837 | 0.256846 | ||||||||
\(669\) | 4.28500 | + | 1.12172i | 0.165667 | + | 0.0433683i | ||||
\(670\) | 2.37827 | − | 0.859464i | 0.0918807 | − | 0.0332040i | ||||
\(671\) | −7.08912 | − | 24.1433i | −0.273672 | − | 0.932043i | ||||
\(672\) | 3.63361 | − | 1.79107i | 0.140170 | − | 0.0690918i | ||||
\(673\) | −3.21079 | + | 10.9349i | −0.123767 | + | 0.421511i | −0.997944 | − | 0.0640967i | \(-0.979583\pi\) |
0.874177 | + | 0.485608i | \(0.161402\pi\) | |||||||
\(674\) | −4.39614 | + | 2.82523i | −0.169333 | + | 0.108824i | ||||
\(675\) | −18.3133 | − | 18.4289i | −0.704879 | − | 0.709328i | ||||
\(676\) | 6.67528 | + | 7.70368i | 0.256742 | + | 0.296296i | ||||
\(677\) | −4.19917 | + | 6.53403i | −0.161387 | + | 0.251123i | −0.912524 | − | 0.409023i | \(-0.865869\pi\) |
0.751137 | + | 0.660146i | \(0.229506\pi\) | |||||||
\(678\) | −12.9971 | − | 7.81975i | −0.499152 | − | 0.300316i | ||||
\(679\) | 2.89018 | − | 20.1016i | 0.110915 | − | 0.771429i | ||||
\(680\) | 16.1195 | − | 3.33441i | 0.618155 | − | 0.127869i | ||||
\(681\) | 5.44115 | − | 1.77399i | 0.208505 | − | 0.0679794i | ||||
\(682\) | 2.16036 | + | 4.73052i | 0.0827243 | + | 0.181141i | ||||
\(683\) | 20.9750 | − | 13.4798i | 0.802585 | − | 0.515790i | −0.0738735 | − | 0.997268i | \(-0.523536\pi\) |
0.876458 | + | 0.481478i | \(0.159900\pi\) | |||||||
\(684\) | 13.5169 | − | 7.16692i | 0.516832 | − | 0.274034i | ||||
\(685\) | −1.22214 | − | 19.9517i | −0.0466956 | − | 0.762313i | ||||
\(686\) | −19.1417 | + | 5.62051i | −0.730834 | + | 0.214592i | ||||
\(687\) | 15.2915 | + | 16.6276i | 0.583407 | + | 0.634382i | ||||
\(688\) | 0.883697 | + | 6.14625i | 0.0336906 | + | 0.234324i | ||||
\(689\) | 63.2512 | 2.40968 | ||||||||
\(690\) | −12.6025 | + | 13.6447i | −0.479767 | + | 0.519445i | ||||
\(691\) | −16.5361 | −0.629062 | −0.314531 | − | 0.949247i | \(-0.601847\pi\) | ||||
−0.314531 | + | 0.949247i | \(0.601847\pi\) | |||||||
\(692\) | −0.524760 | − | 3.64979i | −0.0199484 | − | 0.138744i | ||||
\(693\) | −27.3998 | + | 9.83839i | −1.04083 | + | 0.373730i | ||||
\(694\) | −10.1642 | + | 2.98448i | −0.385828 | + | 0.113289i | ||||
\(695\) | −3.85167 | + | 0.235935i | −0.146102 | + | 0.00894951i | ||||
\(696\) | −3.46821 | + | 4.25016i | −0.131462 | + | 0.161102i | ||||
\(697\) | 67.4017 | − | 43.3164i | 2.55302 | − | 1.64073i | ||||
\(698\) | 2.71155 | + | 5.93748i | 0.102634 | + | 0.224737i | ||||
\(699\) | 0.0222988 | + | 0.0683945i | 0.000843417 | + | 0.00258692i | ||||
\(700\) | 6.52224 | − | 9.70666i | 0.246517 | − | 0.366877i | ||||
\(701\) | 3.47838 | − | 24.1927i | 0.131377 | − | 0.913744i | −0.812386 | − | 0.583120i | \(-0.801832\pi\) |
0.943763 | − | 0.330624i | \(-0.107259\pi\) | |||||||
\(702\) | 5.74145 | + | 24.3569i | 0.216697 | + | 0.919292i | ||||
\(703\) | −5.44536 | + | 8.47314i | −0.205376 | + | 0.319571i | ||||
\(704\) | −2.71707 | − | 3.13567i | −0.102404 | − | 0.118180i | ||||
\(705\) | 18.1366 | − | 18.8522i | 0.683064 | − | 0.710016i | ||||
\(706\) | 8.75294 | − | 5.62517i | 0.329421 | − | 0.211706i | ||||
\(707\) | −2.51479 | + | 8.56459i | −0.0945784 | + | 0.322104i | ||||
\(708\) | −2.82776 | − | 5.73680i | −0.106274 | − | 0.215602i | ||||
\(709\) | 4.91152 | + | 16.7271i | 0.184456 | + | 0.628199i | 0.998853 | + | 0.0478907i | \(0.0152499\pi\) |
−0.814397 | + | 0.580309i | \(0.802932\pi\) | |||||||
\(710\) | −0.292833 | − | 0.810317i | −0.0109898 | − | 0.0304106i | ||||
\(711\) | 16.3785 | + | 12.5773i | 0.614243 | + | 0.471685i | ||||
\(712\) | −15.5374 | −0.582290 | ||||||||
\(713\) | 5.73197 | − | 1.81050i | 0.214664 | − | 0.0678038i | ||||
\(714\) | 11.5811 | − | 27.4812i | 0.433412 | − | 1.02846i | ||||
\(715\) | 35.4932 | + | 27.1403i | 1.32737 | + | 1.01499i | ||||
\(716\) | 14.4728 | + | 6.60951i | 0.540874 | + | 0.247009i | ||||
\(717\) | 4.45514 | − | 39.1761i | 0.166380 | − | 1.46306i | ||||
\(718\) | −15.6130 | + | 18.0183i | −0.582671 | + | 0.672438i | ||||
\(719\) | 2.19385 | − | 7.47155i | 0.0818166 | − | 0.278642i | −0.908416 | − | 0.418068i | \(-0.862707\pi\) |
0.990233 | + | 0.139426i | \(0.0445257\pi\) | |||||||
\(720\) | −3.49890 | − | 5.72343i | −0.130396 | − | 0.213300i | ||||
\(721\) | −10.8900 | − | 23.8458i | −0.405565 | − | 0.888063i | ||||
\(722\) | 4.58922 | + | 5.29625i | 0.170793 | + | 0.197106i | ||||
\(723\) | −1.22120 | + | 0.836838i | −0.0454169 | + | 0.0311223i | ||||
\(724\) | −7.21126 | − | 1.03682i | −0.268004 | − | 0.0385332i | ||||
\(725\) | −2.57358 | + | 15.6252i | −0.0955805 | + | 0.580304i | ||||
\(726\) | 6.08491 | + | 8.87972i | 0.225832 | + | 0.329557i | ||||
\(727\) | −4.52057 | − | 5.21702i | −0.167659 | − | 0.193489i | 0.665702 | − | 0.746217i | \(-0.268132\pi\) |
−0.833361 | + | 0.552729i | \(0.813587\pi\) | |||||||
\(728\) | −10.2460 | + | 4.67921i | −0.379743 | + | 0.173423i | ||||
\(729\) | −6.70625 | + | 26.1539i | −0.248379 | + | 0.968663i | ||||
\(730\) | −32.8917 | + | 17.5262i | −1.21738 | + | 0.648673i | ||||
\(731\) | 34.5459 | + | 29.9342i | 1.27773 | + | 1.10716i | ||||
\(732\) | 1.18690 | − | 10.4369i | 0.0438690 | − | 0.385760i | ||||
\(733\) | 15.6214 | − | 34.2061i | 0.576989 | − | 1.26343i | −0.366003 | − | 0.930614i | \(-0.619274\pi\) |
0.942992 | − | 0.332816i | \(-0.107999\pi\) | |||||||
\(734\) | −1.69991 | − | 11.8231i | −0.0627448 | − | 0.436399i | ||||
\(735\) | 2.17731 | + | 5.50969i | 0.0803115 | + | 0.203228i | ||||
\(736\) | −3.98093 | + | 2.67436i | −0.146739 | + | 0.0985781i | ||||
\(737\) | −4.69227 | −0.172842 | ||||||||
\(738\) | −25.8966 | − | 19.8864i | −0.953269 | − | 0.732028i | ||||
\(739\) | −2.79524 | + | 6.12073i | −0.102825 | + | 0.225155i | −0.954051 | − | 0.299644i | \(-0.903132\pi\) |
0.851226 | + | 0.524799i | \(0.175859\pi\) | |||||||
\(740\) | 3.85418 | + | 2.15597i | 0.141682 | + | 0.0792550i | ||||
\(741\) | −38.1563 | + | 18.8079i | −1.40171 | + | 0.690924i | ||||
\(742\) | −8.65428 | + | 29.4738i | −0.317709 | + | 1.08202i | ||||
\(743\) | −19.2016 | − | 29.8783i | −0.704440 | − | 1.09613i | −0.990446 | − | 0.137902i | \(-0.955964\pi\) |
0.286006 | − | 0.958228i | \(-0.407672\pi\) | |||||||
\(744\) | 0.0641757 | + | 2.17001i | 0.00235280 | + | 0.0795564i | ||||
\(745\) | 3.57087 | − | 43.6522i | 0.130826 | − | 1.59929i | ||||
\(746\) | −4.72078 | − | 3.03386i | −0.172840 | − | 0.111078i | ||||
\(747\) | 28.1623 | + | 38.5986i | 1.03040 | + | 1.41225i | ||||
\(748\) | −30.2325 | − | 4.34678i | −1.10541 | − | 0.158934i | ||||
\(749\) | −14.0298 | + | 21.8308i | −0.512637 | + | 0.797678i | ||||
\(750\) | −16.9860 | − | 9.29927i | −0.620240 | − | 0.339561i | ||||
\(751\) | 17.5657 | − | 8.02199i | 0.640982 | − | 0.292727i | −0.0682859 | − | 0.997666i | \(-0.521753\pi\) |
0.709268 | + | 0.704939i | \(0.249026\pi\) | |||||||
\(752\) | 5.68222 | − | 3.65174i | 0.207209 | − | 0.133165i | ||||
\(753\) | 6.66808 | + | 5.44129i | 0.242999 | + | 0.198292i | ||||
\(754\) | 9.98846 | − | 11.5273i | 0.363758 | − | 0.419800i | ||||
\(755\) | 23.6191 | + | 13.2122i | 0.859587 | + | 0.480840i | ||||
\(756\) | −12.1354 | − | 0.657210i | −0.441360 | − | 0.0239025i | ||||
\(757\) | 2.79276 | + | 19.4241i | 0.101505 | + | 0.705981i | 0.975492 | + | 0.220033i | \(0.0706165\pi\) |
−0.873988 | + | 0.485948i | \(0.838474\pi\) | |||||||
\(758\) | − | 32.1031i | − | 1.16604i | ||||||
\(759\) | 30.5971 | − | 15.8634i | 1.11060 | − | 0.575806i | ||||
\(760\) | 8.14548 | − | 7.98065i | 0.295468 | − | 0.289489i | ||||
\(761\) | 15.0024 | − | 2.15702i | 0.543838 | − | 0.0781921i | 0.135080 | − | 0.990835i | \(-0.456871\pi\) |
0.408758 | + | 0.912643i | \(0.365962\pi\) | |||||||
\(762\) | 1.72624 | + | 1.87707i | 0.0625350 | + | 0.0679990i | ||||
\(763\) | 1.71809 | + | 5.85127i | 0.0621989 | + | 0.211830i | ||||
\(764\) | −7.23925 | + | 8.35454i | −0.261907 | + | 0.302256i | ||||
\(765\) | −47.0571 | − | 14.9746i | −1.70135 | − | 0.541409i | ||||
\(766\) | −13.0133 | − | 20.2491i | −0.470190 | − | 0.731629i | ||||
\(767\) | 7.38760 | + | 16.1766i | 0.266751 | + | 0.584103i | ||||
\(768\) | −0.536889 | − | 1.64674i | −0.0193733 | − | 0.0594216i | ||||
\(769\) | −5.21934 | + | 8.12145i | −0.188214 | + | 0.292867i | −0.922518 | − | 0.385954i | \(-0.873872\pi\) |
0.734304 | + | 0.678821i | \(0.237509\pi\) | |||||||
\(770\) | −17.5032 | + | 12.8257i | −0.630770 | + | 0.462205i | ||||
\(771\) | −21.8218 | + | 36.2698i | −0.785892 | + | 1.30622i | ||||
\(772\) | 2.68736 | − | 4.18161i | 0.0967200 | − | 0.150499i | ||||
\(773\) | −14.3883 | + | 12.4675i | −0.517510 | + | 0.448425i | −0.874037 | − | 0.485860i | \(-0.838506\pi\) |
0.356526 | + | 0.934285i | \(0.383961\pi\) | |||||||
\(774\) | 6.72359 | − | 17.3727i | 0.241675 | − | 0.624447i | ||||
\(775\) | 3.27973 | + | 5.34030i | 0.117811 | + | 0.191829i | ||||
\(776\) | −8.33122 | − | 2.44627i | −0.299073 | − | 0.0878158i | ||||
\(777\) | 7.17634 | − | 3.53733i | 0.257450 | − | 0.126901i | ||||
\(778\) | −8.95176 | + | 2.62847i | −0.320936 | + | 0.0942353i | ||||
\(779\) | 23.0576 | − | 50.4891i | 0.826124 | − | 1.80896i | ||||
\(780\) | 9.25399 | + | 16.1946i | 0.331346 | + | 0.579860i | ||||
\(781\) | 1.59873i | 0.0572072i | ||||||||
\(782\) | −9.25526 | + | 34.0697i | −0.330967 | + | 1.21833i | ||||
\(783\) | 15.3176 | − | 6.01693i | 0.547405 | − | 0.215028i | ||||
\(784\) | 0.217692 | + | 1.51408i | 0.00777471 | + | 0.0540743i | ||||
\(785\) | −46.9263 | + | 16.9583i | −1.67487 | + | 0.605267i | ||||
\(786\) | 0.510264 | − | 4.48699i | 0.0182005 | − | 0.160046i | ||||
\(787\) | 0.773676 | − | 0.892870i | 0.0275786 | − | 0.0318274i | −0.741793 | − | 0.670629i | \(-0.766024\pi\) |
0.769371 | + | 0.638802i | \(0.220570\pi\) | |||||||
\(788\) | −18.1554 | − | 5.33090i | −0.646759 | − | 0.189905i | ||||
\(789\) | 5.66780 | + | 32.5563i | 0.201779 | + | 1.15903i | ||||
\(790\) | 14.3658 | + | 5.52607i | 0.511112 | + | 0.196609i | ||||
\(791\) | −15.4796 | + | 13.4131i | −0.550389 | + | 0.476915i | ||||
\(792\) | 2.49643 | + | 12.1943i | 0.0887069 | + | 0.433307i | ||||
\(793\) | −4.15657 | + | 28.9096i | −0.147604 | + | 1.02661i | ||||
\(794\) | −17.8385 | − | 2.56480i | −0.633066 | − | 0.0910212i | ||||
\(795\) | 49.9039 | + | 9.84900i | 1.76991 | + | 0.349308i | ||||
\(796\) | 2.40209 | − | 2.08142i | 0.0851397 | − | 0.0737740i | ||||
\(797\) | 0.864647 | − | 0.394871i | 0.0306274 | − | 0.0139871i | −0.400042 | − | 0.916497i | \(-0.631005\pi\) |
0.430670 | + | 0.902510i | \(0.358277\pi\) | |||||||
\(798\) | −3.54338 | − | 20.3534i | −0.125434 | − | 0.720504i | ||||
\(799\) | 14.0086 | − | 47.7087i | 0.495587 | − | 1.68781i | ||||
\(800\) | −3.71103 | − | 3.35086i | −0.131205 | − | 0.118471i | ||||
\(801\) | 40.6335 | + | 22.8391i | 1.43571 | + | 0.806981i | ||||
\(802\) | 8.54805 | − | 18.7176i | 0.301842 | − | 0.660942i | ||||
\(803\) | 68.4510 | − | 9.84177i | 2.41558 | − | 0.347309i | ||||
\(804\) | −1.80507 | − | 0.760690i | −0.0636598 | − | 0.0268275i | ||||
\(805\) | 12.2426 | + | 21.8909i | 0.431494 | + | 0.771551i | ||||
\(806\) | − | 6.03633i | − | 0.212621i | ||||||
\(807\) | 15.4750 | + | 4.05103i | 0.544745 | + | 0.142603i | ||||
\(808\) | 3.47154 | + | 1.58540i | 0.122129 | + | 0.0557742i | ||||
\(809\) | 0.951643 | + | 3.24100i | 0.0334580 | + | 0.113947i | 0.974529 | − | 0.224262i | \(-0.0719970\pi\) |
−0.941071 | + | 0.338209i | \(0.890179\pi\) | |||||||
\(810\) | 0.737210 | + | 20.1111i | 0.0259029 | + | 0.706632i | ||||
\(811\) | −3.36442 | − | 0.987882i | −0.118141 | − | 0.0346892i | 0.222128 | − | 0.975018i | \(-0.428700\pi\) |
−0.340268 | + | 0.940328i | \(0.610518\pi\) | |||||||
\(812\) | 4.00483 | + | 6.23163i | 0.140542 | + | 0.218687i | ||||
\(813\) | −0.717352 | − | 24.2562i | −0.0251586 | − | 0.850703i | ||||
\(814\) | −5.36619 | − | 6.19291i | −0.188085 | − | 0.217061i | ||||
\(815\) | 2.26775 | − | 0.469096i | 0.0794357 | − | 0.0164317i | ||||
\(816\) | −10.9255 | − | 6.57332i | −0.382467 | − | 0.230112i | ||||
\(817\) | 31.3446 | + | 4.50668i | 1.09661 | + | 0.157669i | ||||
\(818\) | −3.10387 | − | 1.99474i | −0.108524 | − | 0.0697443i | ||||
\(819\) | 33.6736 | + | 2.82403i | 1.17665 | + | 0.0986795i | ||||
\(820\) | −22.7143 | − | 8.73746i | −0.793216 | − | 0.305125i | ||||
\(821\) | 9.02626 | + | 14.0451i | 0.315019 | + | 0.490179i | 0.962269 | − | 0.272099i | \(-0.0877177\pi\) |
−0.647251 | + | 0.762277i | \(0.724081\pi\) | |||||||
\(822\) | −9.78916 | + | 11.9962i | −0.341436 | + | 0.418417i | ||||
\(823\) | 15.3096 | + | 13.2659i | 0.533660 | + | 0.462419i | 0.879516 | − | 0.475868i | \(-0.157866\pi\) |
−0.345857 | + | 0.938287i | \(0.612412\pi\) | |||||||
\(824\) | −10.7542 | + | 3.15773i | −0.374642 | + | 0.110005i | ||||
\(825\) | 23.7773 | + | 26.9399i | 0.827820 | + | 0.937927i | ||||
\(826\) | −8.54876 | + | 1.22913i | −0.297449 | + | 0.0427668i | ||||
\(827\) | 17.6281i | 0.612991i | 0.951872 | + | 0.306495i | \(0.0991564\pi\) | ||||
−0.951872 | + | 0.306495i | \(0.900844\pi\) | |||||||
\(828\) | 14.3421 | − | 1.14223i | 0.498422 | − | 0.0396954i | ||||
\(829\) | −50.9519 | −1.76963 | −0.884817 | − | 0.465939i | \(-0.845717\pi\) | ||||
−0.884817 | + | 0.465939i | \(0.845717\pi\) | |||||||
\(830\) | 28.2904 | + | 21.6326i | 0.981973 | + | 0.750878i | ||||
\(831\) | −21.2815 | − | 23.1409i | −0.738246 | − | 0.802750i | ||||
\(832\) | 1.35681 | + | 4.62088i | 0.0470390 | + | 0.160200i | ||||
\(833\) | 8.51011 | + | 7.37405i | 0.294858 | + | 0.255496i | ||||
\(834\) | 2.31587 | + | 1.88980i | 0.0801921 | + | 0.0654384i | ||||
\(835\) | −14.4716 | − | 3.30337i | −0.500811 | − | 0.114318i | ||||
\(836\) | −19.2474 | + | 8.78997i | −0.665684 | + | 0.304008i | ||||
\(837\) | 3.02196 | − | 5.76934i | 0.104454 | − | 0.199418i | ||||
\(838\) | 18.8276 | + | 12.0997i | 0.650387 | + | 0.417979i | ||||
\(839\) | −0.0889258 | + | 0.618492i | −0.00307006 | + | 0.0213527i | −0.991299 | − | 0.131630i | \(-0.957979\pi\) |
0.988229 | + | 0.152983i | \(0.0488880\pi\) | |||||||
\(840\) | −8.81252 | + | 2.09636i | −0.304061 | + | 0.0723314i | ||||
\(841\) | 15.9579 | + | 10.2555i | 0.550273 | + | 0.353639i | ||||
\(842\) | −10.4093 | + | 9.01971i | −0.358728 | + | 0.310840i | ||||
\(843\) | 0.616067 | + | 20.8314i | 0.0212185 | + | 0.717471i | ||||
\(844\) | 5.21741 | − | 3.35303i | 0.179591 | − | 0.115416i | ||||
\(845\) | −10.7186 | − | 20.1157i | −0.368730 | − | 0.692002i | ||||
\(846\) | −20.2280 | + | 1.19749i | −0.695453 | + | 0.0411706i | ||||
\(847\) | 13.9471 | − | 4.09524i | 0.479229 | − | 0.140714i | ||||
\(848\) | 11.9468 | + | 5.45593i | 0.410255 | + | 0.187357i | ||||
\(849\) | −7.38170 | + | 28.1982i | −0.253339 | + | 0.967759i | ||||
\(850\) | −36.7997 | − | 0.752373i | −1.26222 | − | 0.0258062i | ||||
\(851\) | −7.86229 | + | 5.28182i | −0.269516 | + | 0.181059i | ||||
\(852\) | −0.259179 | + | 0.615016i | −0.00887934 | + | 0.0210701i | ||||
\(853\) | −40.6201 | + | 5.84029i | −1.39081 | + | 0.199968i | −0.796679 | − | 0.604403i | \(-0.793412\pi\) |
−0.594127 | + | 0.804371i | \(0.702503\pi\) | |||||||
\(854\) | −12.9026 | − | 5.89240i | −0.441517 | − | 0.201634i | ||||
\(855\) | −33.0332 | + | 8.89760i | −1.12971 | + | 0.304291i | ||||
\(856\) | 8.38518 | + | 7.26580i | 0.286599 | + | 0.248340i | ||||
\(857\) | −19.6281 | − | 5.76332i | −0.670483 | − | 0.196871i | −0.0712647 | − | 0.997457i | \(-0.522703\pi\) |
−0.599218 | + | 0.800586i | \(0.704522\pi\) | |||||||
\(858\) | −5.93598 | − | 34.0967i | −0.202651 | − | 1.16404i | ||||
\(859\) | 8.13909 | + | 17.8221i | 0.277702 | + | 0.608083i | 0.996166 | − | 0.0874810i | \(-0.0278817\pi\) |
−0.718464 | + | 0.695564i | \(0.755154\pi\) | |||||||
\(860\) | 1.13203 | − | 13.8385i | 0.0386019 | − | 0.471890i | ||||
\(861\) | −36.3706 | + | 24.9233i | −1.23951 | + | 0.849383i | ||||
\(862\) | 2.63011 | − | 18.2928i | 0.0895819 | − | 0.623056i | ||||
\(863\) | 6.54288 | − | 45.5068i | 0.222722 | − | 1.54907i | −0.504953 | − | 0.863147i | \(-0.668490\pi\) |
0.727676 | − | 0.685921i | \(-0.240601\pi\) | |||||||
\(864\) | −1.01654 | + | 5.09575i | −0.0345834 | + | 0.173361i | ||||
\(865\) | −0.672226 | + | 8.21765i | −0.0228564 | + | 0.279409i | ||||
\(866\) | −8.95514 | − | 19.6090i | −0.304308 | − | 0.666342i | ||||
\(867\) | −63.4628 | + | 11.0484i | −2.15531 | + | 0.375223i | ||||
\(868\) | 2.81281 | + | 0.825915i | 0.0954729 | + | 0.0280334i | ||||
\(869\) | −21.5844 | − | 18.7030i | −0.732201 | − | 0.634456i | ||||
\(870\) | 9.67564 | − | 7.53947i | 0.328035 | − | 0.255612i | ||||
\(871\) | 4.95426 | + | 2.26253i | 0.167869 | + | 0.0766631i | ||||
\(872\) | 2.58082 | − | 0.371066i | 0.0873975 | − | 0.0125659i | ||||
\(873\) | 18.1919 | + | 18.6439i | 0.615703 | + | 0.631000i | ||||
\(874\) | 7.36650 | + | 23.3220i | 0.249176 | + | 0.788880i | ||||
\(875\) | −19.0487 | + | 17.9149i | −0.643962 | + | 0.605633i | ||||
\(876\) | 27.9279 | + | 7.31095i | 0.943596 | + | 0.247014i | ||||
\(877\) | −6.12197 | − | 2.79581i | −0.206724 | − | 0.0944078i | 0.309362 | − | 0.950944i | \(-0.399884\pi\) |
−0.516086 | + | 0.856536i | \(0.672612\pi\) | |||||||
\(878\) | −9.43897 | + | 2.77153i | −0.318550 | + | 0.0935347i | ||||
\(879\) | −5.97281 | − | 12.1173i | −0.201458 | − | 0.408706i | ||||
\(880\) | 4.36284 | + | 8.18781i | 0.147071 | + | 0.276011i | ||||
\(881\) | −33.9780 | + | 21.8363i | −1.14475 | + | 0.735684i | −0.968586 | − | 0.248677i | \(-0.920004\pi\) |
−0.176160 | + | 0.984361i | \(0.556368\pi\) | |||||||
\(882\) | 1.65630 | − | 4.27962i | 0.0557707 | − | 0.144102i | ||||
\(883\) | 1.02468 | − | 0.887888i | 0.0344832 | − | 0.0298798i | −0.637449 | − | 0.770493i | \(-0.720010\pi\) |
0.671932 | + | 0.740613i | \(0.265465\pi\) | |||||||
\(884\) | 29.8246 | + | 19.1671i | 1.00311 | + | 0.644659i | ||||
\(885\) | 3.30977 | + | 13.9133i | 0.111257 | + | 0.467692i | ||||
\(886\) | −2.74447 | + | 19.0882i | −0.0922021 | + | 0.641280i | ||||
\(887\) | −38.1701 | − | 24.5304i | −1.28163 | − | 0.823650i | −0.290538 | − | 0.956864i | \(-0.593834\pi\) |
−0.991087 | + | 0.133213i | \(0.957471\pi\) | |||||||
\(888\) | −1.06035 | − | 3.25229i | −0.0355830 | − | 0.109140i | ||||
\(889\) | 3.13241 | − | 1.43053i | 0.105058 | − | 0.0479783i | ||||
\(890\) | 33.8715 | + | 7.73171i | 1.13538 | + | 0.259167i | ||||
\(891\) | 11.3963 | − | 35.5603i | 0.381791 | − | 1.19131i | ||||
\(892\) | −1.93268 | − | 1.67468i | −0.0647110 | − | 0.0560724i | ||||
\(893\) | −9.70468 | − | 33.0511i | −0.324755 | − | 1.10601i | ||||
\(894\) | −24.9715 | + | 22.9649i | −0.835171 | + | 0.768061i | ||||
\(895\) | −28.2616 | − | 21.6106i | −0.944683 | − | 0.722364i | ||||
\(896\) | −2.33888 | −0.0781364 | ||||||||
\(897\) | −39.9545 | + | 1.99575i | −1.33404 | + | 0.0666362i | ||||
\(898\) | 36.8417i | 1.22942i | ||||||||
\(899\) | −3.92930 | + | 0.564947i | −0.131049 | + | 0.0188420i | ||||
\(900\) | 4.77951 | + | 14.2182i | 0.159317 | + | 0.473939i | ||||
\(901\) | 92.7669 | − | 27.2388i | 3.09051 | − | 0.907457i | ||||
\(902\) | 34.1279 | + | 29.5720i | 1.13633 | + | 0.984639i | ||||
\(903\) | −19.4894 | − | 15.9037i | −0.648567 | − | 0.529243i | ||||
\(904\) | 4.73458 | + | 7.36715i | 0.157470 | + | 0.245028i | ||||
\(905\) | 15.2046 | + | 5.84872i | 0.505417 | + | 0.194418i | ||||
\(906\) | −6.49801 | − | 19.9306i | −0.215882 | − | 0.662151i | ||||
\(907\) | −34.3109 | − | 22.0503i | −1.13927 | − | 0.732167i | −0.171799 | − | 0.985132i | \(-0.554958\pi\) |
−0.967476 | + | 0.252965i | \(0.918594\pi\) | |||||||
\(908\) | −3.27057 | − | 0.470237i | −0.108538 | − | 0.0156053i | ||||
\(909\) | −6.74833 | − | 9.24911i | −0.223828 | − | 0.306774i | ||||
\(910\) | 24.6648 | − | 5.10204i | 0.817629 | − | 0.169131i | ||||
\(911\) | 1.31019 | + | 1.51204i | 0.0434086 | + | 0.0500962i | 0.777039 | − | 0.629453i | \(-0.216721\pi\) |
−0.733630 | + | 0.679549i | \(0.762175\pi\) | |||||||
\(912\) | −8.82925 | + | 0.261116i | −0.292366 | + | 0.00864641i | ||||
\(913\) | −35.7264 | − | 55.5914i | −1.18237 | − | 1.83981i | ||||
\(914\) | 5.41725 | + | 1.59065i | 0.179187 | + | 0.0526139i | ||||
\(915\) | −7.78104 | + | 22.1618i | −0.257233 | + | 0.732648i | ||||
\(916\) | −3.67445 | − | 12.5140i | −0.121407 | − | 0.413475i | ||||
\(917\) | −5.54699 | − | 2.53323i | −0.183178 | − | 0.0836545i | ||||
\(918\) | 18.9098 | + | 33.2503i | 0.624117 | + | 1.09742i | ||||
\(919\) | 11.1166i | 0.366703i | 0.983047 | + | 0.183351i | \(0.0586946\pi\) | ||||
−0.983047 | + | 0.183351i | \(0.941305\pi\) | |||||||
\(920\) | 10.0092 | − | 3.84910i | 0.329994 | − | 0.126901i | ||||
\(921\) | 9.59532 | − | 22.7691i | 0.316176 | − | 0.750266i | ||||
\(922\) | 15.3109 | − | 2.20138i | 0.504238 | − | 0.0724985i | ||||
\(923\) | 0.770883 | − | 1.68800i | 0.0253739 | − | 0.0555611i | ||||
\(924\) | 16.7005 | + | 1.89920i | 0.549407 | + | 0.0624790i | ||||
\(925\) | −7.32924 | − | 6.61791i | −0.240984 | − | 0.217596i | ||||
\(926\) | 5.42398 | − | 18.4724i | 0.178243 | − | 0.607040i | ||||
\(927\) | 32.7662 | + | 7.55003i | 1.07618 | + | 0.247975i | ||||
\(928\) | 2.88093 | − | 1.31568i | 0.0945712 | − | 0.0431892i | ||||
\(929\) | −27.9781 | + | 24.2432i | −0.917933 | + | 0.795394i | −0.979236 | − | 0.202725i | \(-0.935020\pi\) |
0.0613023 | + | 0.998119i | \(0.480475\pi\) | |||||||
\(930\) | 0.939932 | − | 4.76254i | 0.0308216 | − | 0.156170i | ||||
\(931\) | 7.72150 | + | 1.11018i | 0.253062 | + | 0.0363848i | ||||
\(932\) | 0.00591081 | − | 0.0411106i | 0.000193615 | − | 0.00134662i | ||||
\(933\) | −16.3942 | + | 11.2343i | −0.536723 | + | 0.367794i | ||||
\(934\) | 6.16981 | − | 5.34617i | 0.201882 | − | 0.174932i | ||||
\(935\) | 63.7437 | + | 24.5202i | 2.08464 | + | 0.801896i | ||||
\(936\) | 3.24409 | − | 14.0789i | 0.106036 | − | 0.460185i | ||||
\(937\) | 26.5481 | + | 7.79523i | 0.867289 | + | 0.254659i | 0.684962 | − | 0.728579i | \(-0.259819\pi\) |
0.182327 | + | 0.983238i | \(0.441637\pi\) | |||||||
\(938\) | −1.73216 | + | 1.99901i | −0.0565569 | + | 0.0652701i | ||||
\(939\) | −18.2848 | − | 2.07937i | −0.596703 | − | 0.0678575i | ||||
\(940\) | −14.2044 | + | 5.13320i | −0.463296 | + | 0.167427i | ||||
\(941\) | 2.01244 | + | 13.9968i | 0.0656036 | + | 0.456283i | 0.995973 | + | 0.0896584i | \(0.0285775\pi\) |
−0.930369 | + | 0.366624i | \(0.880513\pi\) | |||||||
\(942\) | 35.6162 | + | 15.0093i | 1.16044 | + | 0.489031i | ||||
\(943\) | 38.7441 | − | 34.9769i | 1.26168 | − | 1.13901i | ||||
\(944\) | 3.69265i | 0.120186i | ||||||||
\(945\) | 26.1280 | + | 7.47150i | 0.849945 | + | 0.243048i | ||||
\(946\) | −10.7026 | + | 23.4354i | −0.347970 | + | 0.761949i | ||||
\(947\) | 44.1059 | − | 12.9507i | 1.43325 | − | 0.420840i | 0.529284 | − | 0.848445i | \(-0.322461\pi\) |
0.903966 | + | 0.427605i | \(0.140642\pi\) | |||||||
\(948\) | −5.27125 | − | 10.6940i | −0.171202 | − | 0.347326i | ||||
\(949\) | −77.0185 | − | 22.6147i | −2.50013 | − | 0.734103i | ||||
\(950\) | −21.7284 | + | 13.3444i | −0.704963 | + | 0.432951i | ||||
\(951\) | −1.12918 | − | 38.1816i | −0.0366162 | − | 1.23812i | ||||
\(952\) | −13.0122 | + | 11.2751i | −0.421728 | + | 0.365429i | ||||
\(953\) | −7.98742 | + | 12.4287i | −0.258738 | + | 0.402604i | −0.946183 | − | 0.323632i | \(-0.895096\pi\) |
0.687445 | + | 0.726236i | \(0.258732\pi\) | |||||||
\(954\) | −23.2234 | − | 31.8295i | −0.751885 | − | 1.03052i | ||||
\(955\) | 19.9389 | − | 14.6105i | 0.645207 | − | 0.472783i | ||||
\(956\) | −12.3072 | + | 19.1504i | −0.398044 | + | 0.619368i | ||||
\(957\) | −21.6394 | + | 7.05512i | −0.699501 | + | 0.228060i | ||||
\(958\) | −14.1079 | − | 30.8921i | −0.455806 | − | 0.998077i | ||||
\(959\) | 11.3038 | + | 17.5890i | 0.365018 | + | 0.567979i | ||||
\(960\) | 0.350968 | + | 3.85705i | 0.0113274 | + | 0.124486i | ||||
\(961\) | 19.2719 | − | 22.2409i | 0.621674 | − | 0.717450i | ||||
\(962\) | 2.67969 | + | 9.12618i | 0.0863966 | + | 0.294240i | ||||
\(963\) | −11.2486 | − | 31.3272i | −0.362481 | − | 1.00951i | ||||
\(964\) | 0.846017 | − | 0.121639i | 0.0272484 | − | 0.00391773i | ||||
\(965\) | −7.93926 | + | 7.77860i | −0.255574 | + | 0.250402i | ||||
\(966\) | 4.53676 | − | 18.8911i | 0.145968 | − | 0.607810i | ||||
\(967\) | − | 40.6173i | − | 1.30616i | −0.757287 | − | 0.653082i | \(-0.773476\pi\) | ||
0.757287 | − | 0.653082i | \(-0.226524\pi\) | |||||||
\(968\) | −0.884475 | − | 6.15166i | −0.0284281 | − | 0.197722i | ||||
\(969\) | −47.8622 | + | 44.0162i | −1.53755 | + | 1.41401i | ||||
\(970\) | 16.9447 | + | 9.47861i | 0.544061 | + | 0.304340i | ||||
\(971\) | 13.6438 | − | 15.7458i | 0.437850 | − | 0.505306i | −0.493341 | − | 0.869836i | \(-0.664225\pi\) |
0.931192 | + | 0.364529i | \(0.118770\pi\) | |||||||
\(972\) | 10.1489 | − | 11.8321i | 0.325527 | − | 0.379516i | ||||
\(973\) | 3.39556 | − | 2.18219i | 0.108857 | − | 0.0699580i | ||||
\(974\) | 15.2159 | − | 6.94885i | 0.487548 | − | 0.222656i | ||||
\(975\) | −12.1149 | − | 39.9091i | −0.387988 | − | 1.27811i | ||||
\(976\) | −3.27877 | + | 5.10187i | −0.104951 | + | 0.163307i | ||||
\(977\) | −33.1411 | − | 4.76497i | −1.06028 | − | 0.152445i | −0.409957 | − | 0.912105i | \(-0.634456\pi\) |
−0.650320 | + | 0.759660i | \(0.725365\pi\) | |||||||
\(978\) | −1.53703 | − | 0.924757i | −0.0491488 | − | 0.0295705i | ||||
\(979\) | −54.2324 | − | 34.8530i | −1.73327 | − | 1.11391i | ||||
\(980\) | 0.278866 | − | 3.40901i | 0.00890806 | − | 0.108897i | ||||
\(981\) | −7.29480 | − | 2.82324i | −0.232905 | − | 0.0901393i | ||||
\(982\) | 17.7426 | + | 27.6080i | 0.566189 | + | 0.881007i | ||||
\(983\) | 9.52862 | − | 32.4515i | 0.303916 | − | 1.03504i | −0.656002 | − | 0.754759i | \(-0.727754\pi\) |
0.959917 | − | 0.280283i | \(-0.0904282\pi\) | |||||||
\(984\) | 8.33456 | + | 16.9087i | 0.265696 | + | 0.539029i | ||||
\(985\) | 36.9259 | + | 20.6558i | 1.17656 | + | 0.658148i | ||||
\(986\) | 9.68533 | − | 21.2079i | 0.308444 | − | 0.675398i | ||||
\(987\) | −6.92950 | + | 26.4708i | −0.220568 | + | 0.842573i | ||||
\(988\) | 24.5604 | 0.781371 | ||||||||
\(989\) | 25.3744 | + | 15.5871i | 0.806860 | + | 0.495640i | ||||
\(990\) | 0.625917 | − | 27.8259i | 0.0198929 | − | 0.884364i | ||||
\(991\) | −6.87067 | − | 47.7865i | −0.218254 | − | 1.51799i | −0.744480 | − | 0.667645i | \(-0.767303\pi\) |
0.526226 | − | 0.850345i | \(-0.323607\pi\) | |||||||
\(992\) | 0.520682 | − | 1.14014i | 0.0165317 | − | 0.0361993i | ||||
\(993\) | 32.5642 | + | 3.70322i | 1.03339 | + | 0.117518i | ||||
\(994\) | 0.681097 | + | 0.590174i | 0.0216031 | + | 0.0187192i | ||||
\(995\) | −6.27229 | + | 3.34216i | −0.198845 | + | 0.105954i | ||||
\(996\) | −4.73136 | − | 27.1772i | −0.149919 | − | 0.861144i | ||||
\(997\) | 25.2514 | − | 11.5319i | 0.799720 | − | 0.365220i | 0.0267335 | − | 0.999643i | \(-0.491489\pi\) |
0.772986 | + | 0.634423i | \(0.218762\pi\) | |||||||
\(998\) | −7.06123 | − | 8.14910i | −0.223519 | − | 0.257955i | ||||
\(999\) | −2.00766 | + | 10.0640i | −0.0635194 | + | 0.318412i |
(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.n.a.89.19 | yes | 240 | |
3.2 | odd | 2 | 690.2.n.b.89.13 | yes | 240 | ||
5.4 | even | 2 | 690.2.n.b.89.6 | yes | 240 | ||
15.14 | odd | 2 | inner | 690.2.n.a.89.12 | ✓ | 240 | |
23.15 | odd | 22 | inner | 690.2.n.a.659.12 | yes | 240 | |
69.38 | even | 22 | 690.2.n.b.659.6 | yes | 240 | ||
115.84 | odd | 22 | 690.2.n.b.659.13 | yes | 240 | ||
345.314 | even | 22 | inner | 690.2.n.a.659.19 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.n.a.89.12 | ✓ | 240 | 15.14 | odd | 2 | inner | |
690.2.n.a.89.19 | yes | 240 | 1.1 | even | 1 | trivial | |
690.2.n.a.659.12 | yes | 240 | 23.15 | odd | 22 | inner | |
690.2.n.a.659.19 | yes | 240 | 345.314 | even | 22 | inner | |
690.2.n.b.89.6 | yes | 240 | 5.4 | even | 2 | ||
690.2.n.b.89.13 | yes | 240 | 3.2 | odd | 2 | ||
690.2.n.b.659.6 | yes | 240 | 69.38 | even | 22 | ||
690.2.n.b.659.13 | yes | 240 | 115.84 | odd | 22 |