Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [221,2,Mod(44,221)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(221, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([12, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("221.44");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 221 = 13 \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 221.z (of order \(16\), degree \(8\), 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: | \(1.76469388467\) |
Analytic rank: | \(0\) |
Dimension: | \(152\) |
Relative dimension: | \(19\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 44.7 | ||
Character | \(\chi\) | \(=\) | 221.44 |
Dual form | 221.2.z.a.216.7 |
$q$-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 \(\left(\mathbb{Z}/221\mathbb{Z}\right)^\times\).
\(n\) | \(105\) | \(171\) |
\(\chi(n)\) | \(e\left(\frac{3}{16}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.306289 | − | 0.739446i | −0.216579 | − | 0.522868i | 0.777829 | − | 0.628476i | \(-0.216321\pi\) |
−0.994408 | + | 0.105608i | \(0.966321\pi\) | |||||||
\(3\) | −0.471645 | − | 0.315143i | −0.272304 | − | 0.181948i | 0.411919 | − | 0.911220i | \(-0.364859\pi\) |
−0.684223 | + | 0.729273i | \(0.739859\pi\) | |||||||
\(4\) | 0.961245 | − | 0.961245i | 0.480623 | − | 0.480623i | ||||
\(5\) | −1.97622 | + | 2.95762i | −0.883793 | + | 1.32269i | 0.0620533 | + | 0.998073i | \(0.480235\pi\) |
−0.945846 | + | 0.324616i | \(0.894765\pi\) | |||||||
\(6\) | −0.0885718 | + | 0.445281i | −0.0361593 | + | 0.181785i | ||||
\(7\) | −2.57309 | − | 3.85090i | −0.972535 | − | 1.45550i | −0.888412 | − | 0.459046i | \(-0.848191\pi\) |
−0.0841226 | − | 0.996455i | \(-0.526809\pi\) | |||||||
\(8\) | −2.48410 | − | 1.02895i | −0.878262 | − | 0.363788i | ||||
\(9\) | −1.02492 | − | 2.47437i | −0.341639 | − | 0.824789i | ||||
\(10\) | 2.79230 | + | 0.555422i | 0.883002 | + | 0.175640i | ||||
\(11\) | −0.0669719 | + | 0.336691i | −0.0201928 | + | 0.101516i | −0.989567 | − | 0.144071i | \(-0.953981\pi\) |
0.969375 | + | 0.245587i | \(0.0789807\pi\) | |||||||
\(12\) | −0.756296 | + | 0.150437i | −0.218324 | + | 0.0434273i | ||||
\(13\) | 2.43240 | − | 2.66147i | 0.674626 | − | 0.738159i | ||||
\(14\) | −2.05942 | + | 3.08214i | −0.550404 | + | 0.823738i | ||||
\(15\) | 1.86415 | − | 0.772155i | 0.481321 | − | 0.199370i | ||||
\(16\) | − | 0.566797i | − | 0.141699i | ||||||
\(17\) | −2.96019 | − | 2.87007i | −0.717951 | − | 0.696094i | ||||
\(18\) | −1.51574 | + | 1.51574i | −0.357264 | + | 0.357264i | ||||
\(19\) | 0.877004 | + | 2.11728i | 0.201199 | + | 0.485736i | 0.991985 | − | 0.126356i | \(-0.0403281\pi\) |
−0.790786 | + | 0.612092i | \(0.790328\pi\) | |||||||
\(20\) | 0.943368 | + | 4.74263i | 0.210944 | + | 1.06048i | ||||
\(21\) | 2.62714i | 0.573290i | ||||||||
\(22\) | 0.269477 | − | 0.0536024i | 0.0574528 | − | 0.0114281i | ||||
\(23\) | 2.35817 | + | 3.52926i | 0.491713 | + | 0.735901i | 0.991480 | − | 0.130259i | \(-0.0415810\pi\) |
−0.499767 | + | 0.866160i | \(0.666581\pi\) | |||||||
\(24\) | 0.847347 | + | 1.26814i | 0.172964 | + | 0.258859i | ||||
\(25\) | −2.92867 | − | 7.07043i | −0.585733 | − | 1.41409i | ||||
\(26\) | −2.71303 | − | 0.983451i | −0.532069 | − | 0.192871i | ||||
\(27\) | −0.628373 | + | 3.15905i | −0.120930 | + | 0.607959i | ||||
\(28\) | −6.17502 | − | 1.22829i | −1.16697 | − | 0.232125i | ||||
\(29\) | −0.896391 | − | 4.50646i | −0.166456 | − | 0.836829i | −0.970284 | − | 0.241968i | \(-0.922207\pi\) |
0.803829 | − | 0.594861i | \(-0.202793\pi\) | |||||||
\(30\) | −1.14193 | − | 1.14193i | −0.208488 | − | 0.208488i | ||||
\(31\) | 1.86788 | + | 9.39049i | 0.335482 | + | 1.68658i | 0.668541 | + | 0.743676i | \(0.266919\pi\) |
−0.333059 | + | 0.942906i | \(0.608081\pi\) | |||||||
\(32\) | −5.38732 | + | 2.23150i | −0.952352 | + | 0.394477i | ||||
\(33\) | 0.137693 | − | 0.137693i | 0.0239692 | − | 0.0239692i | ||||
\(34\) | −1.21559 | + | 3.06797i | −0.208472 | + | 0.526152i | ||||
\(35\) | 16.4745 | 2.78469 | ||||||||
\(36\) | −3.36367 | − | 1.39328i | −0.560612 | − | 0.232213i | ||||
\(37\) | −0.867840 | − | 4.36293i | −0.142672 | − | 0.717261i | −0.984202 | − | 0.177050i | \(-0.943345\pi\) |
0.841530 | − | 0.540211i | \(-0.181655\pi\) | |||||||
\(38\) | 1.29700 | − | 1.29700i | 0.210400 | − | 0.210400i | ||||
\(39\) | −1.98597 | + | 0.488715i | −0.318010 | + | 0.0782571i | ||||
\(40\) | 7.95237 | − | 5.31360i | 1.25738 | − | 0.840155i | ||||
\(41\) | 6.46108 | − | 4.31715i | 1.00905 | − | 0.674226i | 0.0629226 | − | 0.998018i | \(-0.479958\pi\) |
0.946128 | + | 0.323792i | \(0.104958\pi\) | |||||||
\(42\) | 1.94263 | − | 0.804664i | 0.299755 | − | 0.124162i | ||||
\(43\) | 10.0247 | − | 4.15236i | 1.52875 | − | 0.633229i | 0.549428 | − | 0.835541i | \(-0.314846\pi\) |
0.979321 | + | 0.202312i | \(0.0648456\pi\) | |||||||
\(44\) | 0.259266 | + | 0.388019i | 0.0390858 | + | 0.0584960i | ||||
\(45\) | 9.34371 | + | 1.85858i | 1.39288 | + | 0.277061i | ||||
\(46\) | 1.88741 | − | 2.82471i | 0.278284 | − | 0.416481i | ||||
\(47\) | −4.43180 | −0.646444 | −0.323222 | − | 0.946323i | \(-0.604766\pi\) | ||||
−0.323222 | + | 0.946323i | \(0.604766\pi\) | |||||||
\(48\) | −0.178622 | + | 0.267327i | −0.0257819 | + | 0.0385853i | ||||
\(49\) | −5.52984 | + | 13.3502i | −0.789977 | + | 1.90717i | ||||
\(50\) | −4.33119 | + | 4.33119i | −0.612522 | + | 0.612522i | ||||
\(51\) | 0.491675 | + | 2.28653i | 0.0688483 | + | 0.320179i | ||||
\(52\) | −0.220194 | − | 4.89646i | −0.0305354 | − | 0.679017i | ||||
\(53\) | 1.45024 | − | 3.50119i | 0.199206 | − | 0.480925i | −0.792435 | − | 0.609957i | \(-0.791187\pi\) |
0.991640 | + | 0.129032i | \(0.0411869\pi\) | |||||||
\(54\) | 2.52841 | − | 0.502932i | 0.344073 | − | 0.0684403i | ||||
\(55\) | −0.863453 | − | 0.863453i | −0.116428 | − | 0.116428i | ||||
\(56\) | 2.42943 | + | 12.2136i | 0.324647 | + | 1.63211i | ||||
\(57\) | 0.253610 | − | 1.27498i | 0.0335914 | − | 0.168876i | ||||
\(58\) | −3.05773 | + | 2.04311i | −0.401500 | + | 0.268274i | ||||
\(59\) | 4.89471 | + | 2.02745i | 0.637236 | + | 0.263952i | 0.677824 | − | 0.735224i | \(-0.262923\pi\) |
−0.0405878 | + | 0.999176i | \(0.512923\pi\) | |||||||
\(60\) | 1.04967 | − | 2.53413i | 0.135512 | − | 0.327155i | ||||
\(61\) | 0.687437 | − | 3.45598i | 0.0880172 | − | 0.442493i | −0.911496 | − | 0.411308i | \(-0.865072\pi\) |
0.999514 | − | 0.0311845i | \(-0.00992794\pi\) | |||||||
\(62\) | 6.37165 | − | 4.25740i | 0.809201 | − | 0.540691i | ||||
\(63\) | −6.89133 | + | 10.3136i | −0.868226 | + | 1.29939i | ||||
\(64\) | 2.49858 | + | 2.49858i | 0.312322 | + | 0.312322i | ||||
\(65\) | 3.06467 | + | 12.4538i | 0.380126 | + | 1.54470i | ||||
\(66\) | −0.143990 | − | 0.0596426i | −0.0177239 | − | 0.00734150i | ||||
\(67\) | −8.67007 | − | 8.67007i | −1.05922 | − | 1.05922i | −0.998133 | − | 0.0610853i | \(-0.980544\pi\) |
−0.0610853 | − | 0.998133i | \(-0.519456\pi\) | |||||||
\(68\) | −5.60431 | + | 0.0866267i | −0.679622 | + | 0.0105050i | ||||
\(69\) | − | 2.40772i | − | 0.289855i | ||||||
\(70\) | −5.04595 | − | 12.1820i | −0.603106 | − | 1.45603i | ||||
\(71\) | 2.19245 | − | 0.436106i | 0.260196 | − | 0.0517563i | −0.0632682 | − | 0.997997i | \(-0.520152\pi\) |
0.323465 | + | 0.946240i | \(0.395152\pi\) | |||||||
\(72\) | 7.20117i | 0.848666i | ||||||||
\(73\) | −2.38997 | − | 1.59693i | −0.279725 | − | 0.186906i | 0.407792 | − | 0.913075i | \(-0.366299\pi\) |
−0.687516 | + | 0.726169i | \(0.741299\pi\) | |||||||
\(74\) | −2.96034 | + | 1.97804i | −0.344133 | + | 0.229942i | ||||
\(75\) | −0.846905 | + | 4.25768i | −0.0977921 | + | 0.491634i | ||||
\(76\) | 2.87824 | + | 1.19220i | 0.330156 | + | 0.136755i | ||||
\(77\) | 1.46888 | − | 0.608432i | 0.167395 | − | 0.0693373i | ||||
\(78\) | 0.969660 | + | 1.31883i | 0.109792 | + | 0.149328i | ||||
\(79\) | −2.45957 | − | 3.68101i | −0.276723 | − | 0.414146i | 0.666910 | − | 0.745138i | \(-0.267617\pi\) |
−0.943633 | + | 0.330992i | \(0.892617\pi\) | |||||||
\(80\) | 1.67637 | + | 1.12012i | 0.187424 | + | 0.125233i | ||||
\(81\) | −4.38948 | + | 4.38948i | −0.487720 | + | 0.487720i | ||||
\(82\) | −5.17126 | − | 3.45533i | −0.571070 | − | 0.381577i | ||||
\(83\) | 10.2954 | − | 4.26448i | 1.13006 | − | 0.468087i | 0.262260 | − | 0.964997i | \(-0.415532\pi\) |
0.867802 | + | 0.496910i | \(0.165532\pi\) | |||||||
\(84\) | 2.52533 | + | 2.52533i | 0.275536 | + | 0.275536i | ||||
\(85\) | 14.3386 | − | 3.08323i | 1.55524 | − | 0.334423i | ||||
\(86\) | −6.14089 | − | 6.14089i | −0.662189 | − | 0.662189i | ||||
\(87\) | −0.997401 | + | 2.40794i | −0.106933 | + | 0.258158i | ||||
\(88\) | 0.512802 | − | 0.767463i | 0.0546649 | − | 0.0818118i | ||||
\(89\) | − | 10.8299i | − | 1.14796i | −0.818868 | − | 0.573981i | \(-0.805398\pi\) | ||
0.818868 | − | 0.573981i | \(-0.194602\pi\) | |||||||
\(90\) | −1.48755 | − | 7.47843i | −0.156802 | − | 0.788296i | ||||
\(91\) | −16.5078 | − | 2.51872i | −1.73049 | − | 0.264034i | ||||
\(92\) | 5.65926 | + | 1.12570i | 0.590019 | + | 0.117362i | ||||
\(93\) | 2.07837 | − | 5.01762i | 0.215517 | − | 0.520303i | ||||
\(94\) | 1.35741 | + | 3.27708i | 0.140006 | + | 0.338005i | ||||
\(95\) | −7.99525 | − | 1.59035i | −0.820296 | − | 0.163167i | ||||
\(96\) | 3.24414 | + | 0.645300i | 0.331104 | + | 0.0658606i | ||||
\(97\) | −0.320291 | − | 0.214012i | −0.0325206 | − | 0.0217296i | 0.539204 | − | 0.842175i | \(-0.318725\pi\) |
−0.571724 | + | 0.820446i | \(0.693725\pi\) | |||||||
\(98\) | 11.5655 | 1.16829 | ||||||||
\(99\) | 0.901737 | − | 0.179367i | 0.0906280 | − | 0.0180270i | ||||
\(100\) | −9.61158 | − | 3.98125i | −0.961158 | − | 0.398125i | ||||
\(101\) | −3.35936 | −0.334269 | −0.167134 | − | 0.985934i | \(-0.553451\pi\) | ||||
−0.167134 | + | 0.985934i | \(0.553451\pi\) | |||||||
\(102\) | 1.54017 | − | 1.06391i | 0.152500 | − | 0.105342i | ||||
\(103\) | − | 1.16925i | − | 0.115210i | −0.998339 | − | 0.0576049i | \(-0.981654\pi\) | ||
0.998339 | − | 0.0576049i | \(-0.0183464\pi\) | |||||||
\(104\) | −8.78084 | + | 4.10855i | −0.861033 | + | 0.402876i | ||||
\(105\) | −7.77010 | − | 5.19181i | −0.758284 | − | 0.506669i | ||||
\(106\) | −3.03313 | −0.294604 | ||||||||
\(107\) | 2.47378 | − | 0.492066i | 0.239150 | − | 0.0475698i | −0.0740602 | − | 0.997254i | \(-0.523596\pi\) |
0.313210 | + | 0.949684i | \(0.398596\pi\) | |||||||
\(108\) | 2.43260 | + | 3.64064i | 0.234077 | + | 0.350321i | ||||
\(109\) | −7.09336 | + | 4.73963i | −0.679420 | + | 0.453974i | −0.846795 | − | 0.531919i | \(-0.821471\pi\) |
0.167375 | + | 0.985893i | \(0.446471\pi\) | |||||||
\(110\) | −0.374011 | + | 0.902943i | −0.0356606 | + | 0.0860922i | ||||
\(111\) | −0.965633 | + | 2.33124i | −0.0916538 | + | 0.221272i | ||||
\(112\) | −2.18268 | + | 1.45842i | −0.206244 | + | 0.137808i | ||||
\(113\) | −2.58498 | − | 3.86870i | −0.243175 | − | 0.363937i | 0.689726 | − | 0.724071i | \(-0.257731\pi\) |
−0.932901 | + | 0.360134i | \(0.882731\pi\) | |||||||
\(114\) | −1.02046 | + | 0.202982i | −0.0955748 | + | 0.0190110i | ||||
\(115\) | −15.0985 | −1.40794 | ||||||||
\(116\) | −5.19347 | − | 3.47016i | −0.482201 | − | 0.322197i | ||||
\(117\) | −9.07847 | − | 3.29087i | −0.839305 | − | 0.304241i | ||||
\(118\) | − | 4.24036i | − | 0.390357i | ||||||
\(119\) | −3.43551 | + | 18.7843i | −0.314933 | + | 1.72195i | ||||
\(120\) | −5.42524 | −0.495254 | ||||||||
\(121\) | 10.0538 | + | 4.16442i | 0.913982 | + | 0.378584i | ||||
\(122\) | −2.76606 | + | 0.550204i | −0.250428 | + | 0.0498132i | ||||
\(123\) | −4.40785 | −0.397443 | ||||||||
\(124\) | 10.8221 | + | 7.23107i | 0.971850 | + | 0.649369i | ||||
\(125\) | 9.25558 | + | 1.84105i | 0.827844 | + | 0.164668i | ||||
\(126\) | 9.73710 | + | 1.93683i | 0.867450 | + | 0.172546i | ||||
\(127\) | 1.67250 | + | 4.03778i | 0.148411 | + | 0.358295i | 0.980549 | − | 0.196273i | \(-0.0628838\pi\) |
−0.832139 | + | 0.554567i | \(0.812884\pi\) | |||||||
\(128\) | −3.38072 | + | 8.16179i | −0.298816 | + | 0.721407i | ||||
\(129\) | −6.03667 | − | 1.20077i | −0.531499 | − | 0.105722i | ||||
\(130\) | 8.27023 | − | 6.08061i | 0.725347 | − | 0.533305i | ||||
\(131\) | 0.571211 | + | 2.87167i | 0.0499069 | + | 0.250899i | 0.997683 | − | 0.0680384i | \(-0.0216740\pi\) |
−0.947776 | + | 0.318937i | \(0.896674\pi\) | |||||||
\(132\) | − | 0.264713i | − | 0.0230403i | ||||||
\(133\) | 5.89680 | − | 8.82518i | 0.511317 | − | 0.765240i | ||||
\(134\) | −3.75551 | + | 9.06660i | −0.324427 | + | 0.783235i | ||||
\(135\) | −8.10146 | − | 8.10146i | −0.697263 | − | 0.697263i | ||||
\(136\) | 4.40025 | + | 10.1754i | 0.377319 | + | 0.872535i | ||||
\(137\) | −10.0325 | − | 10.0325i | −0.857134 | − | 0.857134i | 0.133866 | − | 0.990999i | \(-0.457261\pi\) |
−0.990999 | + | 0.133866i | \(0.957261\pi\) | |||||||
\(138\) | −1.78038 | + | 0.737456i | −0.151556 | + | 0.0627764i | ||||
\(139\) | −5.79957 | − | 3.87515i | −0.491913 | − | 0.328686i | 0.284750 | − | 0.958602i | \(-0.408089\pi\) |
−0.776663 | + | 0.629916i | \(0.783089\pi\) | |||||||
\(140\) | 15.8360 | − | 15.8360i | 1.33839 | − | 1.33839i | ||||
\(141\) | 2.09023 | + | 1.39665i | 0.176029 | + | 0.117619i | ||||
\(142\) | −0.994001 | − | 1.48763i | −0.0834147 | − | 0.124839i | ||||
\(143\) | 0.733190 | + | 0.997210i | 0.0613124 | + | 0.0833909i | ||||
\(144\) | −1.40247 | + | 0.580920i | −0.116872 | + | 0.0484100i | ||||
\(145\) | 15.0999 | + | 6.25457i | 1.25398 | + | 0.519414i | ||||
\(146\) | −0.448821 | + | 2.25637i | −0.0371447 | + | 0.186739i | ||||
\(147\) | 6.81534 | − | 4.55387i | 0.562120 | − | 0.375596i | ||||
\(148\) | −5.02805 | − | 3.35964i | −0.413303 | − | 0.276160i | ||||
\(149\) | 10.9719i | 0.898856i | 0.893317 | + | 0.449428i | \(0.148372\pi\) | ||||
−0.893317 | + | 0.449428i | \(0.851628\pi\) | |||||||
\(150\) | 3.40772 | − | 0.677838i | 0.278239 | − | 0.0553452i | ||||
\(151\) | 1.97043 | + | 4.75703i | 0.160351 | + | 0.387122i | 0.983551 | − | 0.180630i | \(-0.0578135\pi\) |
−0.823200 | + | 0.567751i | \(0.807814\pi\) | |||||||
\(152\) | − | 6.16192i | − | 0.499797i | ||||||
\(153\) | −4.06766 | + | 10.2662i | −0.328851 | + | 0.829971i | ||||
\(154\) | −0.899806 | − | 0.899806i | −0.0725084 | − | 0.0725084i | ||||
\(155\) | −31.4649 | − | 13.0332i | −2.52732 | − | 1.04685i | ||||
\(156\) | −1.43923 | + | 2.37878i | −0.115231 | + | 0.190455i | ||||
\(157\) | 16.3026 | + | 16.3026i | 1.30109 | + | 1.30109i | 0.927657 | + | 0.373433i | \(0.121820\pi\) |
0.373433 | + | 0.927657i | \(0.378180\pi\) | |||||||
\(158\) | −1.96857 | + | 2.94617i | −0.156611 | + | 0.234385i | ||||
\(159\) | −1.78737 | + | 1.19428i | −0.141748 | + | 0.0947128i | ||||
\(160\) | 4.04659 | − | 20.3436i | 0.319911 | − | 1.60830i | ||||
\(161\) | 7.52301 | − | 18.1622i | 0.592896 | − | 1.43138i | ||||
\(162\) | 4.59023 | + | 1.90134i | 0.360643 | + | 0.149383i | ||||
\(163\) | −5.75535 | + | 3.84560i | −0.450794 | + | 0.301211i | −0.760164 | − | 0.649731i | \(-0.774882\pi\) |
0.309371 | + | 0.950942i | \(0.399882\pi\) | |||||||
\(164\) | 2.06084 | − | 10.3605i | 0.160924 | − | 0.809021i | ||||
\(165\) | 0.135132 | + | 0.679354i | 0.0105200 | + | 0.0528876i | ||||
\(166\) | −6.30671 | − | 6.30671i | −0.489495 | − | 0.489495i | ||||
\(167\) | 11.7986 | − | 2.34688i | 0.913000 | − | 0.181607i | 0.283830 | − | 0.958875i | \(-0.408395\pi\) |
0.629170 | + | 0.777268i | \(0.283395\pi\) | |||||||
\(168\) | 2.70319 | − | 6.52609i | 0.208556 | − | 0.503499i | ||||
\(169\) | −1.16686 | − | 12.9475i | −0.0897585 | − | 0.995964i | ||||
\(170\) | −6.67162 | − | 9.65824i | −0.511690 | − | 0.740753i | ||||
\(171\) | 4.34006 | − | 4.34006i | 0.331893 | − | 0.331893i | ||||
\(172\) | 5.64474 | − | 13.6276i | 0.430407 | − | 1.03910i | ||||
\(173\) | −10.3107 | + | 15.4311i | −0.783911 | + | 1.17321i | 0.197314 | + | 0.980340i | \(0.436778\pi\) |
−0.981225 | + | 0.192866i | \(0.938222\pi\) | |||||||
\(174\) | 2.08603 | 0.158142 | ||||||||
\(175\) | −19.6918 | + | 29.4708i | −1.48856 | + | 2.22778i | ||||
\(176\) | 0.190835 | + | 0.0379595i | 0.0143848 | + | 0.00286131i | ||||
\(177\) | −1.66962 | − | 2.49877i | −0.125497 | − | 0.187819i | ||||
\(178\) | −8.00810 | + | 3.31706i | −0.600232 | + | 0.248624i | ||||
\(179\) | 11.1636 | − | 4.62411i | 0.834406 | − | 0.345622i | 0.0757606 | − | 0.997126i | \(-0.475862\pi\) |
0.758645 | + | 0.651504i | \(0.225862\pi\) | |||||||
\(180\) | 10.7681 | − | 7.19504i | 0.802610 | − | 0.536287i | ||||
\(181\) | 16.5754 | − | 11.0754i | 1.23204 | − | 0.823225i | 0.242882 | − | 0.970056i | \(-0.421907\pi\) |
0.989162 | + | 0.146831i | \(0.0469073\pi\) | |||||||
\(182\) | 3.19370 | + | 12.9781i | 0.236733 | + | 0.962001i | ||||
\(183\) | −1.41335 | + | 1.41335i | −0.104478 | + | 0.104478i | ||||
\(184\) | −2.22652 | − | 11.1935i | −0.164141 | − | 0.825193i | ||||
\(185\) | 14.6189 | + | 6.05536i | 1.07481 | + | 0.445199i | ||||
\(186\) | −4.34684 | −0.318726 | ||||||||
\(187\) | 1.16457 | − | 0.804453i | 0.0851621 | − | 0.0588275i | ||||
\(188\) | −4.26004 | + | 4.26004i | −0.310696 | + | 0.310696i | ||||
\(189\) | 13.7820 | − | 5.70870i | 1.00249 | − | 0.415246i | ||||
\(190\) | 1.27287 | + | 6.39917i | 0.0923440 | + | 0.464245i | ||||
\(191\) | 0.363570 | + | 0.363570i | 0.0263070 | + | 0.0263070i | 0.720138 | − | 0.693831i | \(-0.244079\pi\) |
−0.693831 | + | 0.720138i | \(0.744079\pi\) | |||||||
\(192\) | −0.391032 | − | 1.96585i | −0.0282203 | − | 0.141873i | ||||
\(193\) | 10.0145 | + | 1.99201i | 0.720860 | + | 0.143388i | 0.541869 | − | 0.840463i | \(-0.317717\pi\) |
0.178991 | + | 0.983851i | \(0.442717\pi\) | |||||||
\(194\) | −0.0601486 | + | 0.302388i | −0.00431842 | + | 0.0217102i | ||||
\(195\) | 2.47928 | − | 6.83956i | 0.177545 | − | 0.489791i | ||||
\(196\) | 7.51730 | + | 18.1484i | 0.536950 | + | 1.29631i | ||||
\(197\) | −6.84821 | − | 10.2491i | −0.487915 | − | 0.730217i | 0.503062 | − | 0.864251i | \(-0.332207\pi\) |
−0.990977 | + | 0.134034i | \(0.957207\pi\) | |||||||
\(198\) | −0.408824 | − | 0.611848i | −0.0290539 | − | 0.0434822i | ||||
\(199\) | −2.99318 | + | 0.595381i | −0.212181 | + | 0.0422054i | −0.300036 | − | 0.953928i | \(-0.596999\pi\) |
0.0878552 | + | 0.996133i | \(0.471999\pi\) | |||||||
\(200\) | 20.5771i | 1.45502i | ||||||||
\(201\) | 1.35688 | + | 6.82150i | 0.0957070 | + | 0.481152i | ||||
\(202\) | 1.02893 | + | 2.48407i | 0.0723956 | + | 0.174778i | ||||
\(203\) | −15.0474 | + | 15.0474i | −1.05612 | + | 1.05612i | ||||
\(204\) | 2.67054 | + | 1.72530i | 0.186975 | + | 0.120795i | ||||
\(205\) | 27.6411i | 1.93054i | ||||||||
\(206\) | −0.864599 | + | 0.358129i | −0.0602395 | + | 0.0249520i | ||||
\(207\) | 6.31575 | − | 9.45218i | 0.438975 | − | 0.656972i | ||||
\(208\) | −1.50852 | − | 1.37868i | −0.104597 | − | 0.0955941i | ||||
\(209\) | −0.771601 | + | 0.153481i | −0.0533728 | + | 0.0106165i | ||||
\(210\) | −1.45917 | + | 7.33577i | −0.100693 | + | 0.506216i | ||||
\(211\) | 3.18887 | + | 0.634307i | 0.219531 | + | 0.0436675i | 0.303630 | − | 0.952790i | \(-0.401801\pi\) |
−0.0840991 | + | 0.996457i | \(0.526801\pi\) | |||||||
\(212\) | −1.97146 | − | 4.75954i | −0.135401 | − | 0.326886i | ||||
\(213\) | −1.17149 | − | 0.485249i | −0.0802695 | − | 0.0332487i | ||||
\(214\) | −1.12155 | − | 1.67852i | −0.0766675 | − | 0.114741i | ||||
\(215\) | −7.52986 | + | 37.8552i | −0.513533 | + | 2.58170i | ||||
\(216\) | 4.81144 | − | 7.20082i | 0.327377 | − | 0.489954i | ||||
\(217\) | 31.3556 | − | 31.3556i | 2.12855 | − | 2.12855i | ||||
\(218\) | 5.67732 | + | 3.79346i | 0.384516 | + | 0.256926i | ||||
\(219\) | 0.623956 | + | 1.50636i | 0.0421630 | + | 0.101791i | ||||
\(220\) | −1.65998 | −0.111916 | ||||||||
\(221\) | −14.8390 | + | 0.897301i | −0.998177 | + | 0.0603590i | ||||
\(222\) | 2.01959 | 0.135546 | ||||||||
\(223\) | 8.12457 | + | 19.6145i | 0.544062 | + | 1.31348i | 0.921835 | + | 0.387583i | \(0.126690\pi\) |
−0.377773 | + | 0.925898i | \(0.623310\pi\) | |||||||
\(224\) | 22.4553 | + | 15.0042i | 1.50036 | + | 1.00251i | ||||
\(225\) | −14.4932 | + | 14.4932i | −0.966213 | + | 0.966213i | ||||
\(226\) | −2.06895 | + | 3.09640i | −0.137624 | + | 0.205969i | ||||
\(227\) | 3.74604 | − | 18.8326i | 0.248633 | − | 1.24996i | −0.631552 | − | 0.775334i | \(-0.717582\pi\) |
0.880185 | − | 0.474631i | \(-0.157418\pi\) | |||||||
\(228\) | −0.981790 | − | 1.46935i | −0.0650206 | − | 0.0973102i | ||||
\(229\) | 9.73526 | + | 4.03248i | 0.643324 | + | 0.266474i | 0.680402 | − | 0.732839i | \(-0.261805\pi\) |
−0.0370781 | + | 0.999312i | \(0.511805\pi\) | |||||||
\(230\) | 4.62449 | + | 11.1645i | 0.304930 | + | 0.736166i | ||||
\(231\) | −0.884535 | − | 0.175945i | −0.0581981 | − | 0.0115763i | ||||
\(232\) | −2.41019 | + | 12.1168i | −0.158237 | + | 0.795510i | ||||
\(233\) | −16.9190 | + | 3.36540i | −1.10840 | + | 0.220474i | −0.715159 | − | 0.698961i | \(-0.753646\pi\) |
−0.393240 | + | 0.919436i | \(0.628646\pi\) | |||||||
\(234\) | 0.347213 | + | 7.72100i | 0.0226980 | + | 0.504737i | ||||
\(235\) | 8.75820 | − | 13.1076i | 0.571322 | − | 0.855044i | ||||
\(236\) | 6.65389 | − | 2.75613i | 0.433132 | − | 0.179409i | ||||
\(237\) | 2.51124i | 0.163123i | ||||||||
\(238\) | 14.9422 | − | 3.21304i | 0.968562 | − | 0.208271i | ||||
\(239\) | −8.49780 | + | 8.49780i | −0.549677 | + | 0.549677i | −0.926347 | − | 0.376670i | \(-0.877069\pi\) |
0.376670 | + | 0.926347i | \(0.377069\pi\) | |||||||
\(240\) | −0.437655 | − | 1.05659i | −0.0282505 | − | 0.0682028i | ||||
\(241\) | −4.43932 | − | 22.3180i | −0.285962 | − | 1.43763i | −0.810249 | − | 0.586085i | \(-0.800668\pi\) |
0.524288 | − | 0.851541i | \(-0.324332\pi\) | |||||||
\(242\) | − | 8.70976i | − | 0.559885i | ||||||
\(243\) | 12.9307 | − | 2.57208i | 0.829506 | − | 0.164999i | ||||
\(244\) | −2.66125 | − | 3.98284i | −0.170369 | − | 0.254975i | ||||
\(245\) | −28.5567 | − | 42.7381i | −1.82442 | − | 2.73044i | ||||
\(246\) | 1.35008 | + | 3.25937i | 0.0860777 | + | 0.207810i | ||||
\(247\) | 7.76829 | + | 2.81594i | 0.494285 | + | 0.179174i | ||||
\(248\) | 5.02231 | − | 25.2489i | 0.318917 | − | 1.60331i | ||||
\(249\) | −6.19967 | − | 1.23319i | −0.392888 | − | 0.0781503i | ||||
\(250\) | −1.47352 | − | 7.40790i | −0.0931938 | − | 0.468517i | ||||
\(251\) | −2.57443 | − | 2.57443i | −0.162496 | − | 0.162496i | 0.621175 | − | 0.783672i | \(-0.286656\pi\) |
−0.783672 | + | 0.621175i | \(0.786656\pi\) | |||||||
\(252\) | 3.28965 | + | 16.5382i | 0.207228 | + | 1.04181i | ||||
\(253\) | −1.34620 | + | 0.557614i | −0.0846348 | + | 0.0350569i | ||||
\(254\) | 2.47345 | − | 2.47345i | 0.155198 | − | 0.155198i | ||||
\(255\) | −7.73436 | − | 3.06451i | −0.484344 | − | 0.191907i | ||||
\(256\) | 14.1377 | 0.883608 | ||||||||
\(257\) | −17.3743 | − | 7.19667i | −1.08378 | − | 0.448916i | −0.231946 | − | 0.972729i | \(-0.574509\pi\) |
−0.851834 | + | 0.523812i | \(0.824509\pi\) | |||||||
\(258\) | 0.961060 | + | 4.83158i | 0.0598330 | + | 0.300801i | ||||
\(259\) | −14.5681 | + | 14.5681i | −0.905221 | + | 0.905221i | ||||
\(260\) | 14.9170 | + | 9.02523i | 0.925115 | + | 0.559721i | ||||
\(261\) | −10.2319 | + | 6.83675i | −0.633340 | + | 0.423184i | ||||
\(262\) | 1.94849 | − | 1.30194i | 0.120378 | − | 0.0804341i | ||||
\(263\) | −1.05918 | + | 0.438726i | −0.0653117 | + | 0.0270530i | −0.415100 | − | 0.909776i | \(-0.636253\pi\) |
0.349788 | + | 0.936829i | \(0.386253\pi\) | |||||||
\(264\) | −0.483721 | + | 0.200364i | −0.0297710 | + | 0.0123315i | ||||
\(265\) | 7.48920 | + | 11.2084i | 0.460058 | + | 0.688525i | ||||
\(266\) | −8.33187 | − | 1.65731i | −0.510860 | − | 0.101616i | ||||
\(267\) | −3.41295 | + | 5.10784i | −0.208869 | + | 0.312595i | ||||
\(268\) | −16.6681 | −1.01817 | ||||||||
\(269\) | −0.826975 | + | 1.23766i | −0.0504216 | + | 0.0754612i | −0.855824 | − | 0.517267i | \(-0.826949\pi\) |
0.805402 | + | 0.592729i | \(0.201949\pi\) | |||||||
\(270\) | −3.50921 | + | 8.47198i | −0.213564 | + | 0.515588i | ||||
\(271\) | 9.47903 | − | 9.47903i | 0.575810 | − | 0.575810i | −0.357936 | − | 0.933746i | \(-0.616519\pi\) |
0.933746 | + | 0.357936i | \(0.116519\pi\) | |||||||
\(272\) | −1.62675 | + | 1.67783i | −0.0986360 | + | 0.101733i | ||||
\(273\) | 6.99207 | + | 6.39026i | 0.423179 | + | 0.386756i | ||||
\(274\) | −4.34565 | + | 10.4913i | −0.262530 | + | 0.633805i | ||||
\(275\) | 2.57669 | − | 0.512535i | 0.155380 | − | 0.0309070i | ||||
\(276\) | −2.31441 | − | 2.31441i | −0.139311 | − | 0.139311i | ||||
\(277\) | −2.68973 | − | 13.5222i | −0.161610 | − | 0.812468i | −0.973505 | − | 0.228665i | \(-0.926564\pi\) |
0.811895 | − | 0.583803i | \(-0.198436\pi\) | |||||||
\(278\) | −1.08912 | + | 5.47539i | −0.0653212 | + | 0.328392i | ||||
\(279\) | 21.3211 | − | 14.2463i | 1.27646 | − | 0.852904i | ||||
\(280\) | −40.9243 | − | 16.9514i | −2.44569 | − | 1.01304i | ||||
\(281\) | 4.80273 | − | 11.5948i | 0.286507 | − | 0.691689i | −0.713453 | − | 0.700704i | \(-0.752870\pi\) |
0.999959 | + | 0.00901490i | \(0.00286957\pi\) | |||||||
\(282\) | 0.392532 | − | 1.97339i | 0.0233750 | − | 0.117514i | ||||
\(283\) | 13.6783 | − | 9.13952i | 0.813088 | − | 0.543288i | −0.0780875 | − | 0.996947i | \(-0.524881\pi\) |
0.891176 | + | 0.453658i | \(0.149881\pi\) | |||||||
\(284\) | 1.68828 | − | 2.52669i | 0.100181 | − | 0.149932i | ||||
\(285\) | 3.26973 | + | 3.26973i | 0.193682 | + | 0.193682i | ||||
\(286\) | 0.512816 | − | 0.847589i | 0.0303234 | − | 0.0501190i | ||||
\(287\) | −33.2498 | − | 13.7725i | −1.96267 | − | 0.812966i | ||||
\(288\) | 11.0431 | + | 11.0431i | 0.650721 | + | 0.650721i | ||||
\(289\) | 0.525418 | + | 16.9919i | 0.0309070 | + | 0.999522i | ||||
\(290\) | − | 13.0813i | − | 0.768158i | ||||||
\(291\) | 0.0836193 | + | 0.201875i | 0.00490185 | + | 0.0118341i | ||||
\(292\) | −3.83238 | + | 0.762309i | −0.224273 | + | 0.0446107i | ||||
\(293\) | − | 11.1041i | − | 0.648710i | −0.945935 | − | 0.324355i | \(-0.894853\pi\) | ||
0.945935 | − | 0.324355i | \(-0.105147\pi\) | |||||||
\(294\) | −5.45480 | − | 3.64478i | −0.318130 | − | 0.212568i | ||||
\(295\) | −15.6695 | + | 10.4700i | −0.912311 | + | 0.609587i | ||||
\(296\) | −2.33342 | + | 11.7309i | −0.135628 | + | 0.681846i | ||||
\(297\) | −1.02154 | − | 0.423135i | −0.0592756 | − | 0.0245528i | ||||
\(298\) | 8.11316 | − | 3.36058i | 0.469982 | − | 0.194673i | ||||
\(299\) | 15.1290 | + | 2.30835i | 0.874935 | + | 0.133495i | ||||
\(300\) | 3.27859 | + | 4.90676i | 0.189289 | + | 0.283292i | ||||
\(301\) | −41.7847 | − | 27.9196i | −2.40843 | − | 1.60926i | ||||
\(302\) | 2.91405 | − | 2.91405i | 0.167685 | − | 0.167685i | ||||
\(303\) | 1.58442 | + | 1.05868i | 0.0910228 | + | 0.0608195i | ||||
\(304\) | 1.20007 | − | 0.497084i | 0.0688285 | − | 0.0285097i | ||||
\(305\) | 8.86295 | + | 8.86295i | 0.507491 | + | 0.507491i | ||||
\(306\) | 8.83716 | − | 0.136598i | 0.505187 | − | 0.00780876i | ||||
\(307\) | −4.32641 | − | 4.32641i | −0.246921 | − | 0.246921i | 0.572785 | − | 0.819706i | \(-0.305863\pi\) |
−0.819706 | + | 0.572785i | \(0.805863\pi\) | |||||||
\(308\) | 0.827106 | − | 1.99681i | 0.0471288 | − | 0.113779i | ||||
\(309\) | −0.368481 | + | 0.551472i | −0.0209622 | + | 0.0313721i | ||||
\(310\) | 27.2585i | 1.54818i | ||||||||
\(311\) | 5.58447 | + | 28.0750i | 0.316666 | + | 1.59199i | 0.731337 | + | 0.682017i | \(0.238897\pi\) |
−0.414670 | + | 0.909972i | \(0.636103\pi\) | |||||||
\(312\) | 5.43622 | + | 0.829445i | 0.307765 | + | 0.0469580i | ||||
\(313\) | −1.75793 | − | 0.349675i | −0.0993642 | − | 0.0197648i | 0.145158 | − | 0.989409i | \(-0.453631\pi\) |
−0.244522 | + | 0.969644i | \(0.578631\pi\) | |||||||
\(314\) | 7.06160 | − | 17.0482i | 0.398509 | − | 0.962087i | ||||
\(315\) | −16.8850 | − | 40.7639i | −0.951360 | − | 2.29679i | ||||
\(316\) | −5.90260 | − | 1.17410i | −0.332047 | − | 0.0660483i | ||||
\(317\) | 14.5917 | + | 2.90247i | 0.819552 | + | 0.163019i | 0.587023 | − | 0.809570i | \(-0.300300\pi\) |
0.232529 | + | 0.972589i | \(0.425300\pi\) | |||||||
\(318\) | 1.43056 | + | 0.955870i | 0.0802218 | + | 0.0536025i | ||||
\(319\) | 1.57732 | 0.0883128 | ||||||||
\(320\) | −12.3276 | + | 2.45211i | −0.689133 | + | 0.137077i | ||||
\(321\) | −1.32182 | − | 0.547515i | −0.0737766 | − | 0.0305593i | ||||
\(322\) | −15.7342 | −0.876830 | ||||||||
\(323\) | 3.48063 | − | 8.78459i | 0.193667 | − | 0.488788i | ||||
\(324\) | 8.43873i | 0.468818i | ||||||||
\(325\) | −25.9414 | − | 9.40355i | −1.43897 | − | 0.521615i | ||||
\(326\) | 4.60642 | + | 3.07791i | 0.255126 | + | 0.170470i | ||||
\(327\) | 4.83920 | 0.267609 | ||||||||
\(328\) | −20.4921 | + | 4.07613i | −1.13149 | + | 0.225067i | ||||
\(329\) | 11.4034 | + | 17.0664i | 0.628689 | + | 0.940900i | ||||
\(330\) | 0.460956 | − | 0.308001i | 0.0253748 | − | 0.0169549i | ||||
\(331\) | −1.56377 | + | 3.77528i | −0.0859526 | + | 0.207508i | −0.961011 | − | 0.276509i | \(-0.910823\pi\) |
0.875059 | + | 0.484017i | \(0.160823\pi\) | |||||||
\(332\) | 5.79716 | − | 13.9956i | 0.318160 | − | 0.768107i | ||||
\(333\) | −9.90602 | + | 6.61899i | −0.542847 | + | 0.362719i | ||||
\(334\) | −5.34916 | − | 8.00558i | −0.292693 | − | 0.438046i | ||||
\(335\) | 42.7768 | − | 8.50883i | 2.33714 | − | 0.464887i | ||||
\(336\) | 1.48906 | 0.0812348 | ||||||||
\(337\) | 6.25388 | + | 4.17871i | 0.340671 | + | 0.227629i | 0.714123 | − | 0.700021i | \(-0.246826\pi\) |
−0.373452 | + | 0.927650i | \(0.621826\pi\) | |||||||
\(338\) | −9.21661 | + | 4.82851i | −0.501317 | + | 0.262636i | ||||
\(339\) | 2.63929i | 0.143347i | ||||||||
\(340\) | 10.8191 | − | 16.7466i | 0.586750 | − | 0.908213i | ||||
\(341\) | −3.28679 | −0.177989 | ||||||||
\(342\) | −4.53855 | − | 1.87993i | −0.245417 | − | 0.101655i | ||||
\(343\) | 33.8419 | − | 6.73158i | 1.82729 | − | 0.363471i | ||||
\(344\) | −29.1749 | −1.57300 | ||||||||
\(345\) | 7.12111 | + | 4.75818i | 0.383388 | + | 0.256172i | ||||
\(346\) | 14.5685 | + | 2.89786i | 0.783210 | + | 0.155790i | ||||
\(347\) | 22.9373 | + | 4.56251i | 1.23134 | + | 0.244928i | 0.767533 | − | 0.641010i | \(-0.221484\pi\) |
0.463804 | + | 0.885938i | \(0.346484\pi\) | |||||||
\(348\) | 1.35587 | + | 3.27337i | 0.0726824 | + | 0.175471i | ||||
\(349\) | −2.85390 | + | 6.88993i | −0.152766 | + | 0.368809i | −0.981672 | − | 0.190578i | \(-0.938964\pi\) |
0.828906 | + | 0.559388i | \(0.188964\pi\) | |||||||
\(350\) | 27.8235 | + | 5.53443i | 1.48723 | + | 0.295828i | ||||
\(351\) | 6.87925 | + | 9.35646i | 0.367187 | + | 0.499411i | ||||
\(352\) | −0.390526 | − | 1.96331i | −0.0208151 | − | 0.104645i | ||||
\(353\) | 27.4697i | 1.46206i | 0.682344 | + | 0.731031i | \(0.260961\pi\) | ||||
−0.682344 | + | 0.731031i | \(0.739039\pi\) | |||||||
\(354\) | −1.33632 | + | 1.99994i | −0.0710245 | + | 0.106296i | ||||
\(355\) | −3.04293 | + | 7.34629i | −0.161502 | + | 0.389901i | ||||
\(356\) | −10.4102 | − | 10.4102i | −0.551737 | − | 0.551737i | ||||
\(357\) | 7.54008 | − | 7.77684i | 0.399063 | − | 0.411594i | ||||
\(358\) | −6.83857 | − | 6.83857i | −0.361429 | − | 0.361429i | ||||
\(359\) | 11.5606 | − | 4.78854i | 0.610143 | − | 0.252730i | −0.0561464 | − | 0.998423i | \(-0.517881\pi\) |
0.666290 | + | 0.745693i | \(0.267881\pi\) | |||||||
\(360\) | −21.2983 | − | 14.2311i | −1.12252 | − | 0.750044i | ||||
\(361\) | 9.72131 | − | 9.72131i | 0.511648 | − | 0.511648i | ||||
\(362\) | −13.2665 | − | 8.86440i | −0.697272 | − | 0.465902i | ||||
\(363\) | −3.42943 | − | 5.13251i | −0.179999 | − | 0.269387i | ||||
\(364\) | −18.2892 | + | 13.4470i | −0.958613 | + | 0.704812i | ||||
\(365\) | 9.44621 | − | 3.91275i | 0.494437 | − | 0.204803i | ||||
\(366\) | 1.47799 | + | 0.612204i | 0.0772559 | + | 0.0320004i | ||||
\(367\) | −5.90303 | + | 29.6766i | −0.308136 | + | 1.54910i | 0.447604 | + | 0.894232i | \(0.352277\pi\) |
−0.755740 | + | 0.654872i | \(0.772723\pi\) | |||||||
\(368\) | 2.00037 | − | 1.33661i | 0.104277 | − | 0.0696754i | ||||
\(369\) | −17.3043 | − | 11.5624i | −0.900826 | − | 0.601912i | ||||
\(370\) | − | 12.6646i | − | 0.658402i | ||||||
\(371\) | −17.2143 | + | 3.42414i | −0.893722 | + | 0.177772i | ||||
\(372\) | −2.82535 | − | 6.82099i | −0.146487 | − | 0.353652i | ||||
\(373\) | 29.5887i | 1.53204i | 0.642814 | + | 0.766022i | \(0.277767\pi\) | ||||
−0.642814 | + | 0.766022i | \(0.722233\pi\) | |||||||
\(374\) | −0.951546 | − | 0.614746i | −0.0492033 | − | 0.0317877i | ||||
\(375\) | −3.78515 | − | 3.78515i | −0.195464 | − | 0.195464i | ||||
\(376\) | 11.0090 | + | 4.56009i | 0.567747 | + | 0.235169i | ||||
\(377\) | −14.1742 | − | 8.57580i | −0.730008 | − | 0.441676i | ||||
\(378\) | −8.44255 | − | 8.44255i | −0.434238 | − | 0.434238i | ||||
\(379\) | −16.0338 | + | 23.9963i | −0.823600 | + | 1.23261i | 0.146333 | + | 0.989235i | \(0.453253\pi\) |
−0.969934 | + | 0.243370i | \(0.921747\pi\) | |||||||
\(380\) | −9.21412 | + | 6.15668i | −0.472674 | + | 0.315831i | ||||
\(381\) | 0.483650 | − | 2.43147i | 0.0247781 | − | 0.124568i | ||||
\(382\) | 0.157483 | − | 0.380198i | 0.00805754 | − | 0.0194526i | ||||
\(383\) | −33.5472 | − | 13.8957i | −1.71418 | − | 0.710036i | −0.999949 | − | 0.0101261i | \(-0.996777\pi\) |
−0.714231 | − | 0.699910i | \(-0.753223\pi\) | |||||||
\(384\) | 4.16663 | − | 2.78405i | 0.212627 | − | 0.142073i | ||||
\(385\) | −1.10333 | + | 5.54680i | −0.0562308 | + | 0.282691i | ||||
\(386\) | −1.59435 | − | 8.01532i | −0.0811501 | − | 0.407969i | ||||
\(387\) | −20.5489 | − | 20.5489i | −1.04456 | − | 1.04456i | ||||
\(388\) | −0.513596 | + | 0.102161i | −0.0260739 | + | 0.00518642i | ||||
\(389\) | 9.08615 | − | 21.9359i | 0.460686 | − | 1.11219i | −0.507430 | − | 0.861693i | \(-0.669404\pi\) |
0.968116 | − | 0.250502i | \(-0.0805956\pi\) | |||||||
\(390\) | −5.81687 | + | 0.261585i | −0.294549 | + | 0.0132459i | ||||
\(391\) | 3.14857 | − | 17.2154i | 0.159230 | − | 0.870619i | ||||
\(392\) | 27.4734 | − | 27.4734i | 1.38761 | − | 1.38761i | ||||
\(393\) | 0.635578 | − | 1.53442i | 0.0320607 | − | 0.0774013i | ||||
\(394\) | −5.48111 | + | 8.20307i | −0.276134 | + | 0.413264i | ||||
\(395\) | 15.7477 | 0.792352 | ||||||||
\(396\) | 0.694375 | − | 1.03921i | 0.0348937 | − | 0.0522221i | ||||
\(397\) | −2.39902 | − | 0.477195i | −0.120403 | − | 0.0239497i | 0.134521 | − | 0.990911i | \(-0.457051\pi\) |
−0.254924 | + | 0.966961i | \(0.582051\pi\) | |||||||
\(398\) | 1.35703 | + | 2.03094i | 0.0680217 | + | 0.101802i | ||||
\(399\) | −5.56238 | + | 2.30402i | −0.278468 | + | 0.115345i | ||||
\(400\) | −4.00750 | + | 1.65996i | −0.200375 | + | 0.0829981i | ||||
\(401\) | 0.615473 | − | 0.411246i | 0.0307353 | − | 0.0205366i | −0.540108 | − | 0.841596i | \(-0.681617\pi\) |
0.570843 | + | 0.821059i | \(0.306617\pi\) | |||||||
\(402\) | 4.62854 | − | 3.09269i | 0.230851 | − | 0.154249i | ||||
\(403\) | 29.5360 | + | 17.8701i | 1.47129 | + | 0.890173i | ||||
\(404\) | −3.22917 | + | 3.22917i | −0.160657 | + | 0.160657i | ||||
\(405\) | −4.30784 | − | 21.6570i | −0.214058 | − | 1.07614i | ||||
\(406\) | 15.7356 | + | 6.51790i | 0.780945 | + | 0.323478i | ||||
\(407\) | 1.52708 | 0.0756944 | ||||||||
\(408\) | 1.13135 | − | 6.18589i | 0.0560104 | − | 0.306247i | ||||
\(409\) | 10.7025 | − | 10.7025i | 0.529204 | − | 0.529204i | −0.391131 | − | 0.920335i | \(-0.627916\pi\) |
0.920335 | + | 0.391131i | \(0.127916\pi\) | |||||||
\(410\) | 20.4391 | − | 8.46615i | 1.00941 | − | 0.418113i | ||||
\(411\) | 1.57010 | + | 7.89344i | 0.0774475 | + | 0.389355i | ||||
\(412\) | −1.12394 | − | 1.12394i | −0.0553725 | − | 0.0553725i | ||||
\(413\) | −4.78699 | − | 24.0658i | −0.235552 | − | 1.18420i | ||||
\(414\) | −8.92382 | − | 1.77506i | −0.438582 | − | 0.0872394i | ||||
\(415\) | −7.73318 | + | 38.8773i | −0.379607 | + | 1.90841i | ||||
\(416\) | −7.16504 | + | 19.7661i | −0.351295 | + | 0.969113i | ||||
\(417\) | 1.51411 | + | 3.65539i | 0.0741463 | + | 0.179005i | ||||
\(418\) | 0.349824 | + | 0.523548i | 0.0171104 | + | 0.0256076i | ||||
\(419\) | −3.61147 | − | 5.40495i | −0.176432 | − | 0.264049i | 0.732705 | − | 0.680546i | \(-0.238258\pi\) |
−0.909137 | + | 0.416497i | \(0.863258\pi\) | |||||||
\(420\) | −12.4596 | + | 2.47836i | −0.607965 | + | 0.120932i | ||||
\(421\) | 4.23555i | 0.206428i | 0.994659 | + | 0.103214i | \(0.0329127\pi\) | ||||
−0.994659 | + | 0.103214i | \(0.967087\pi\) | |||||||
\(422\) | −0.507681 | − | 2.55228i | −0.0247135 | − | 0.124243i | ||||
\(423\) | 4.54222 | + | 10.9659i | 0.220850 | + | 0.533180i | ||||
\(424\) | −7.20508 | + | 7.20508i | −0.349910 | + | 0.349910i | ||||
\(425\) | −11.6232 | + | 29.3353i | −0.563808 | + | 1.42297i | ||||
\(426\) | 1.01488i | 0.0491713i | ||||||||
\(427\) | −15.0774 | + | 6.24528i | −0.729648 | + | 0.302230i | ||||
\(428\) | 1.90492 | − | 2.85091i | 0.0920776 | − | 0.137804i | ||||
\(429\) | −0.0315415 | − | 0.701388i | −0.00152284 | − | 0.0338634i | ||||
\(430\) | 30.2982 | − | 6.02669i | 1.46111 | − | 0.290633i | ||||
\(431\) | −0.718831 | + | 3.61381i | −0.0346249 | + | 0.174071i | −0.994228 | − | 0.107285i | \(-0.965784\pi\) |
0.959603 | + | 0.281356i | \(0.0907842\pi\) | |||||||
\(432\) | 1.79054 | + | 0.356160i | 0.0861473 | + | 0.0171358i | ||||
\(433\) | 3.46386 | + | 8.36249i | 0.166462 | + | 0.401876i | 0.984995 | − | 0.172585i | \(-0.0552119\pi\) |
−0.818532 | + | 0.574461i | \(0.805212\pi\) | |||||||
\(434\) | −32.7896 | − | 13.5819i | −1.57395 | − | 0.651952i | ||||
\(435\) | −5.15069 | − | 7.70855i | −0.246957 | − | 0.369597i | ||||
\(436\) | −2.26251 | + | 11.3744i | −0.108355 | + | 0.544735i | ||||
\(437\) | −5.40428 | + | 8.08807i | −0.258522 | + | 0.386905i | ||||
\(438\) | 0.922764 | − | 0.922764i | 0.0440914 | − | 0.0440914i | ||||
\(439\) | −7.85901 | − | 5.25122i | −0.375090 | − | 0.250627i | 0.353708 | − | 0.935356i | \(-0.384921\pi\) |
−0.728798 | + | 0.684729i | \(0.759921\pi\) | |||||||
\(440\) | 1.25646 | + | 3.03335i | 0.0598992 | + | 0.144609i | ||||
\(441\) | 38.7010 | 1.84290 | ||||||||
\(442\) | 5.20851 | + | 10.6978i | 0.247744 | + | 0.508842i | ||||
\(443\) | 12.6973 | 0.603268 | 0.301634 | − | 0.953424i | \(-0.402468\pi\) | ||||
0.301634 | + | 0.953424i | \(0.402468\pi\) | |||||||
\(444\) | 1.31269 | + | 3.16911i | 0.0622974 | + | 0.150399i | ||||
\(445\) | 32.0306 | + | 21.4022i | 1.51840 | + | 1.01456i | ||||
\(446\) | 12.0154 | − | 12.0154i | 0.568944 | − | 0.568944i | ||||
\(447\) | 3.45773 | − | 5.17485i | 0.163545 | − | 0.244762i | ||||
\(448\) | 3.19271 | − | 16.0508i | 0.150841 | − | 0.758330i | ||||
\(449\) | 12.3684 | + | 18.5106i | 0.583700 | + | 0.873568i | 0.999353 | − | 0.0359547i | \(-0.0114472\pi\) |
−0.415654 | + | 0.909523i | \(0.636447\pi\) | |||||||
\(450\) | 15.1560 | + | 6.27784i | 0.714463 | + | 0.295940i | ||||
\(451\) | 1.02083 | + | 2.46451i | 0.0480692 | + | 0.116049i | ||||
\(452\) | −6.20358 | − | 1.23397i | −0.291792 | − | 0.0580410i | ||||
\(453\) | 0.569803 | − | 2.86459i | 0.0267717 | − | 0.134590i | ||||
\(454\) | −15.0731 | + | 2.99822i | −0.707415 | + | 0.140714i | ||||
\(455\) | 40.0725 | − | 43.8464i | 1.87863 | − | 2.05555i | ||||
\(456\) | −1.94188 | + | 2.90623i | −0.0909370 | + | 0.136097i | ||||
\(457\) | −9.48084 | + | 3.92709i | −0.443495 | + | 0.183702i | −0.593245 | − | 0.805022i | \(-0.702153\pi\) |
0.149749 | + | 0.988724i | \(0.452153\pi\) | |||||||
\(458\) | − | 8.43381i | − | 0.394086i | ||||||
\(459\) | 10.9268 | − | 7.54789i | 0.510018 | − | 0.352305i | ||||
\(460\) | −14.5133 | + | 14.5133i | −0.676688 | + | 0.676688i | ||||
\(461\) | 1.51078 | + | 3.64735i | 0.0703642 | + | 0.169874i | 0.955149 | − | 0.296126i | \(-0.0956947\pi\) |
−0.884785 | + | 0.466000i | \(0.845695\pi\) | |||||||
\(462\) | 0.140821 | + | 0.707956i | 0.00655159 | + | 0.0329371i | ||||
\(463\) | − | 30.0170i | − | 1.39501i | −0.716580 | − | 0.697505i | \(-0.754293\pi\) | ||
0.716580 | − | 0.697505i | \(-0.245707\pi\) | |||||||
\(464\) | −2.55425 | + | 0.508072i | −0.118578 | + | 0.0235866i | ||||
\(465\) | 10.7329 | + | 16.0630i | 0.497727 | + | 0.744902i | ||||
\(466\) | 7.67063 | + | 11.4799i | 0.355335 | + | 0.531796i | ||||
\(467\) | 3.63125 | + | 8.76660i | 0.168034 | + | 0.405670i | 0.985356 | − | 0.170512i | \(-0.0545421\pi\) |
−0.817322 | + | 0.576182i | \(0.804542\pi\) | |||||||
\(468\) | −11.8900 | + | 5.56330i | −0.549614 | + | 0.257164i | ||||
\(469\) | −11.0787 | + | 55.6964i | −0.511567 | + | 2.57182i | ||||
\(470\) | −12.3749 | − | 2.46152i | −0.570811 | − | 0.113541i | ||||
\(471\) | −2.55139 | − | 12.8267i | −0.117562 | − | 0.591023i | ||||
\(472\) | −10.0728 | − | 10.0728i | −0.463638 | − | 0.463638i | ||||
\(473\) | 0.726688 | + | 3.65331i | 0.0334131 | + | 0.167979i | ||||
\(474\) | 1.85693 | − | 0.769166i | 0.0852917 | − | 0.0353290i | ||||
\(475\) | 12.4016 | − | 12.4016i | 0.569024 | − | 0.569024i | ||||
\(476\) | 14.7539 | + | 21.3587i | 0.676246 | + | 0.978974i | ||||
\(477\) | −10.1496 | −0.464718 | ||||||||
\(478\) | 8.88645 | + | 3.68089i | 0.406457 | + | 0.168360i | ||||
\(479\) | 2.53427 | + | 12.7406i | 0.115794 | + | 0.582133i | 0.994497 | + | 0.104765i | \(0.0334092\pi\) |
−0.878703 | + | 0.477368i | \(0.841591\pi\) | |||||||
\(480\) | −8.31969 | + | 8.31969i | −0.379740 | + | 0.379740i | ||||
\(481\) | −13.7227 | − | 8.30265i | −0.625703 | − | 0.378568i | ||||
\(482\) | −15.1432 | + | 10.1184i | −0.689755 | + | 0.460880i | ||||
\(483\) | −9.27186 | + | 6.19526i | −0.421884 | + | 0.281894i | ||||
\(484\) | 13.6672 | − | 5.66114i | 0.621236 | − | 0.257324i | ||||
\(485\) | 1.26593 | − | 0.524366i | 0.0574830 | − | 0.0238102i | ||||
\(486\) | −5.86245 | − | 8.77378i | −0.265926 | − | 0.397987i | ||||
\(487\) | 18.4285 | + | 3.66565i | 0.835074 | + | 0.166107i | 0.594066 | − | 0.804416i | \(-0.297522\pi\) |
0.241008 | + | 0.970523i | \(0.422522\pi\) | |||||||
\(488\) | −5.26368 | + | 7.87766i | −0.238276 | + | 0.356605i | ||||
\(489\) | 3.92639 | 0.177558 | ||||||||
\(490\) | −22.8560 | + | 34.2064i | −1.03253 | + | 1.54529i | ||||
\(491\) | −12.6950 | + | 30.6484i | −0.572917 | + | 1.38315i | 0.326143 | + | 0.945320i | \(0.394251\pi\) |
−0.899060 | + | 0.437825i | \(0.855749\pi\) | |||||||
\(492\) | −4.23703 | + | 4.23703i | −0.191020 | + | 0.191020i | ||||
\(493\) | −10.2804 | + | 15.9127i | −0.463004 | + | 0.716671i | ||||
\(494\) | −0.297105 | − | 6.60673i | −0.0133674 | − | 0.297251i | ||||
\(495\) | −1.25153 | + | 3.02147i | −0.0562522 | + | 0.135805i | ||||
\(496\) | 5.32251 | − | 1.05871i | 0.238988 | − | 0.0475376i | ||||
\(497\) | −7.32077 | − | 7.32077i | −0.328381 | − | 0.328381i | ||||
\(498\) | 0.987010 | + | 4.96204i | 0.0442290 | + | 0.222354i | ||||
\(499\) | 6.92715 | − | 34.8251i | 0.310102 | − | 1.55899i | −0.440205 | − | 0.897897i | \(-0.645094\pi\) |
0.750307 | − | 0.661090i | \(-0.229906\pi\) | |||||||
\(500\) | 10.6666 | − | 7.12718i | 0.477024 | − | 0.318737i | ||||
\(501\) | −6.30433 | − | 2.61134i | −0.281657 | − | 0.116666i | ||||
\(502\) | −1.11513 | + | 2.69217i | −0.0497708 | + | 0.120157i | ||||
\(503\) | −0.586309 | + | 2.94757i | −0.0261422 | + | 0.131426i | −0.991653 | − | 0.128939i | \(-0.958843\pi\) |
0.965510 | + | 0.260365i | \(0.0838428\pi\) | |||||||
\(504\) | 27.7309 | − | 18.5292i | 1.23523 | − | 0.825357i | ||||
\(505\) | 6.63884 | − | 9.93572i | 0.295424 | − | 0.442134i | ||||
\(506\) | 0.824651 | + | 0.824651i | 0.0366602 | + | 0.0366602i | ||||
\(507\) | −3.52998 | + | 6.47436i | −0.156772 | + | 0.287536i | ||||
\(508\) | 5.48898 | + | 2.27361i | 0.243534 | + | 0.100875i | ||||
\(509\) | 14.6775 | + | 14.6775i | 0.650568 | + | 0.650568i | 0.953130 | − | 0.302562i | \(-0.0978418\pi\) |
−0.302562 | + | 0.953130i | \(0.597842\pi\) | |||||||
\(510\) | 0.102910 | + | 6.65777i | 0.00455695 | + | 0.294811i | ||||
\(511\) | 13.3126i | 0.588913i | ||||||||
\(512\) | 2.43122 | + | 5.86948i | 0.107446 | + | 0.259397i | ||||
\(513\) | −7.23965 | + | 1.44006i | −0.319639 | + | 0.0635801i | ||||
\(514\) | 15.0516i | 0.663899i | ||||||||
\(515\) | 3.45821 | + | 2.31070i | 0.152387 | + | 0.101822i | ||||
\(516\) | −6.95695 | + | 4.64849i | −0.306263 | + | 0.204638i | ||||
\(517\) | 0.296806 | − | 1.49214i | 0.0130535 | − | 0.0656244i | ||||
\(518\) | 15.2344 | + | 6.31031i | 0.669362 | + | 0.277259i | ||||
\(519\) | 9.72601 | − | 4.02865i | 0.426924 | − | 0.176838i | ||||
\(520\) | 5.20134 | − | 34.0898i | 0.228094 | − | 1.49494i | ||||
\(521\) | −4.51621 | − | 6.75899i | −0.197859 | − | 0.296117i | 0.719252 | − | 0.694750i | \(-0.244485\pi\) |
−0.917111 | + | 0.398633i | \(0.869485\pi\) | |||||||
\(522\) | 8.18933 | + | 5.47193i | 0.358437 | + | 0.239500i | ||||
\(523\) | −3.00777 | + | 3.00777i | −0.131521 | + | 0.131521i | −0.769803 | − | 0.638282i | \(-0.779645\pi\) |
0.638282 | + | 0.769803i | \(0.279645\pi\) | |||||||
\(524\) | 3.30945 | + | 2.21131i | 0.144574 | + | 0.0966014i | ||||
\(525\) | 18.5750 | − | 7.69403i | 0.810681 | − | 0.335795i | ||||
\(526\) | 0.648829 | + | 0.648829i | 0.0282903 | + | 0.0282903i | ||||
\(527\) | 21.4221 | − | 33.1586i | 0.933159 | − | 1.44441i | ||||
\(528\) | −0.0780438 | − | 0.0780438i | −0.00339642 | − | 0.00339642i | ||||
\(529\) | 1.90705 | − | 4.60404i | 0.0829154 | − | 0.200175i | ||||
\(530\) | 5.99414 | − | 8.97086i | 0.260369 | − | 0.389669i | ||||
\(531\) | − | 14.1893i | − | 0.615762i | ||||||
\(532\) | −2.81490 | − | 14.1514i | −0.122041 | − | 0.613542i | ||||
\(533\) | 4.22594 | − | 27.6970i | 0.183046 | − | 1.19969i | ||||
\(534\) | 4.82233 | + | 0.959220i | 0.208682 | + | 0.0415095i | ||||
\(535\) | −3.43339 | + | 8.28894i | −0.148439 | + | 0.358362i | ||||
\(536\) | 12.6163 | + | 30.4584i | 0.544940 | + | 1.31560i | ||||
\(537\) | −6.72250 | − | 1.33719i | −0.290097 | − | 0.0577040i | ||||
\(538\) | 1.16847 | + | 0.232424i | 0.0503765 | + | 0.0100205i | ||||
\(539\) | −4.12455 | − | 2.75593i | −0.177657 | − | 0.118706i | ||||
\(540\) | −15.5750 | −0.670240 | ||||||||
\(541\) | 32.2928 | − | 6.42344i | 1.38838 | − | 0.276165i | 0.556371 | − | 0.830934i | \(-0.312193\pi\) |
0.832004 | + | 0.554769i | \(0.187193\pi\) | |||||||
\(542\) | −9.91256 | − | 4.10592i | −0.425781 | − | 0.176364i | ||||
\(543\) | −11.3080 | −0.485274 | ||||||||
\(544\) | 22.3520 | + | 8.85631i | 0.958335 | + | 0.379711i | ||||
\(545\) | − | 30.3460i | − | 1.29988i | ||||||
\(546\) | 2.58367 | − | 7.12752i | 0.110571 | − | 0.305030i | ||||
\(547\) | −25.5965 | − | 17.1030i | −1.09443 | − | 0.731272i | −0.128920 | − | 0.991655i | \(-0.541151\pi\) |
−0.965505 | + | 0.260383i | \(0.916151\pi\) | |||||||
\(548\) | −19.2874 | −0.823916 | ||||||||
\(549\) | −9.25592 | + | 1.84112i | −0.395033 | + | 0.0785770i | ||||
\(550\) | −1.16820 | − | 1.74834i | −0.0498123 | − | 0.0745494i | ||||
\(551\) | 8.75528 | − | 5.85009i | 0.372987 | − | 0.249222i | ||||
\(552\) | −2.47741 | + | 5.98101i | −0.105446 | + | 0.254569i | ||||
\(553\) | −7.84649 | + | 18.9431i | −0.333667 | + | 0.805543i | ||||
\(554\) | −9.17509 | + | 6.13060i | −0.389812 | + | 0.260464i | ||||
\(555\) | −4.98664 | − | 7.46303i | −0.211671 | − | 0.316788i | ||||
\(556\) | −9.29978 | + | 1.84984i | −0.394399 | + | 0.0784508i | ||||
\(557\) | 30.6717 | 1.29960 | 0.649801 | − | 0.760105i | \(-0.274852\pi\) | ||||
0.649801 | + | 0.760105i | \(0.274852\pi\) | |||||||
\(558\) | −17.0648 | − | 11.4023i | −0.722410 | − | 0.482699i | ||||
\(559\) | 13.3326 | − | 36.7806i | 0.563911 | − | 1.55565i | ||||
\(560\) | − | 9.33769i | − | 0.394589i | ||||||
\(561\) | −0.802783 | + | 0.0124088i | −0.0338935 | + | 0.000523898i | ||||
\(562\) | −10.0448 | −0.423713 | ||||||||
\(563\) | 26.4601 | + | 10.9601i | 1.11516 | + | 0.461915i | 0.862712 | − | 0.505695i | \(-0.168764\pi\) |
0.252449 | + | 0.967610i | \(0.418764\pi\) | |||||||
\(564\) | 3.35175 | − | 0.666704i | 0.141134 | − | 0.0280733i | ||||
\(565\) | 16.5507 | 0.696292 | ||||||||
\(566\) | −10.9477 | − | 7.31501i | −0.460165 | − | 0.307473i | ||||
\(567\) | 28.1979 | + | 5.60892i | 1.18420 | + | 0.235552i | ||||
\(568\) | −5.89501 | − | 1.17259i | −0.247349 | − | 0.0492008i | ||||
\(569\) | −5.00290 | − | 12.0781i | −0.209733 | − | 0.506339i | 0.783648 | − | 0.621205i | \(-0.213356\pi\) |
−0.993381 | + | 0.114865i | \(0.963356\pi\) | |||||||
\(570\) | 1.41631 | − | 3.41927i | 0.0593226 | − | 0.143217i | ||||
\(571\) | −26.8565 | − | 5.34209i | −1.12391 | − | 0.223559i | −0.402062 | − | 0.915612i | \(-0.631706\pi\) |
−0.721847 | + | 0.692053i | \(0.756706\pi\) | |||||||
\(572\) | 1.66334 | + | 0.253788i | 0.0695477 | + | 0.0106114i | ||||
\(573\) | −0.0568993 | − | 0.286052i | −0.00237700 | − | 0.0119500i | ||||
\(574\) | 28.8048i | 1.20229i | ||||||||
\(575\) | 18.0470 | − | 27.0093i | 0.752614 | − | 1.12637i | ||||
\(576\) | 3.62157 | − | 8.74323i | 0.150899 | − | 0.364301i | ||||
\(577\) | 2.40204 | + | 2.40204i | 0.0999982 | + | 0.0999982i | 0.755336 | − | 0.655338i | \(-0.227474\pi\) |
−0.655338 | + | 0.755336i | \(0.727474\pi\) | |||||||
\(578\) | 12.4037 | − | 5.59294i | 0.515924 | − | 0.232636i | ||||
\(579\) | −4.09552 | − | 4.09552i | −0.170204 | − | 0.170204i | ||||
\(580\) | 20.5269 | − | 8.50250i | 0.852332 | − | 0.353047i | ||||
\(581\) | −42.9129 | − | 28.6735i | −1.78033 | − | 1.18958i | ||||
\(582\) | 0.123664 | − | 0.123664i | 0.00512604 | − | 0.00512604i | ||||
\(583\) | 1.08169 | + | 0.722763i | 0.0447991 | + | 0.0299338i | ||||
\(584\) | 4.29377 | + | 6.42608i | 0.177677 | + | 0.265913i | ||||
\(585\) | 27.6742 | − | 20.3472i | 1.14419 | − | 0.841253i | ||||
\(586\) | −8.21090 | + | 3.40107i | −0.339189 | + | 0.140497i | ||||
\(587\) | 4.48995 | + | 1.85980i | 0.185320 | + | 0.0767621i | 0.473414 | − | 0.880840i | \(-0.343021\pi\) |
−0.288094 | + | 0.957602i | \(0.593021\pi\) | |||||||
\(588\) | 2.17383 | − | 10.9286i | 0.0896474 | − | 0.450688i | ||||
\(589\) | −18.2441 | + | 12.1903i | −0.751735 | + | 0.502294i | ||||
\(590\) | 12.5414 | + | 8.37988i | 0.516321 | + | 0.344994i | ||||
\(591\) | 6.99209i | 0.287616i | ||||||||
\(592\) | −2.47290 | + | 0.491890i | −0.101635 | + | 0.0202165i | ||||
\(593\) | 13.9055 | + | 33.5709i | 0.571031 | + | 1.37859i | 0.900678 | + | 0.434487i | \(0.143070\pi\) |
−0.329647 | + | 0.944104i | \(0.606930\pi\) | |||||||
\(594\) | 0.884974i | 0.0363109i | ||||||||
\(595\) | −48.7675 | − | 47.2829i | −1.99927 | − | 1.93841i | ||||
\(596\) | 10.5467 | + | 10.5467i | 0.432010 | + | 0.432010i | ||||
\(597\) | 1.59935 | + | 0.662471i | 0.0654569 | + | 0.0271131i | ||||
\(598\) | −2.92695 | − | 11.8941i | −0.119692 | − | 0.486387i | ||||
\(599\) | 1.85883 | + | 1.85883i | 0.0759496 | + | 0.0759496i | 0.744061 | − | 0.668112i | \(-0.232897\pi\) |
−0.668112 | + | 0.744061i | \(0.732897\pi\) | |||||||
\(600\) | 6.48473 | − | 9.70508i | 0.264738 | − | 0.396208i | ||||
\(601\) | −13.1494 | + | 8.78617i | −0.536377 | + | 0.358395i | −0.794065 | − | 0.607833i | \(-0.792039\pi\) |
0.257689 | + | 0.966228i | \(0.417039\pi\) | |||||||
\(602\) | −7.84689 | + | 39.4490i | −0.319815 | + | 1.60782i | ||||
\(603\) | −12.5668 | + | 30.3390i | −0.511761 | + | 1.23550i | ||||
\(604\) | 6.46674 | + | 2.67861i | 0.263128 | + | 0.108991i | ||||
\(605\) | −32.1853 | + | 21.5055i | −1.30852 | + | 0.874324i | ||||
\(606\) | 0.297545 | − | 1.49586i | 0.0120869 | − | 0.0607651i | ||||
\(607\) | 7.53874 | + | 37.8998i | 0.305988 | + | 1.53830i | 0.761553 | + | 0.648102i | \(0.224437\pi\) |
−0.455565 | + | 0.890202i | \(0.650563\pi\) | |||||||
\(608\) | −9.44940 | − | 9.44940i | −0.383224 | − | 0.383224i | ||||
\(609\) | 11.8391 | − | 2.35495i | 0.479745 | − | 0.0954273i | ||||
\(610\) | 3.83905 | − | 9.26830i | 0.155439 | − | 0.375262i | ||||
\(611\) | −10.7799 | + | 11.7951i | −0.436108 | + | 0.477179i | ||||
\(612\) | 5.95829 | + | 13.7783i | 0.240850 | + | 0.556956i | ||||
\(613\) | −28.1661 | + | 28.1661i | −1.13762 | + | 1.13762i | −0.148743 | + | 0.988876i | \(0.547523\pi\) |
−0.988876 | + | 0.148743i | \(0.952477\pi\) | |||||||
\(614\) | −1.87402 | + | 4.52428i | −0.0756291 | + | 0.182585i | ||||
\(615\) | 8.71089 | − | 13.0368i | 0.351257 | − | 0.525693i | ||||
\(616\) | −4.27490 | −0.172241 | ||||||||
\(617\) | 24.4910 | − | 36.6533i | 0.985969 | − | 1.47561i | 0.109594 | − | 0.993976i | \(-0.465045\pi\) |
0.876375 | − | 0.481630i | \(-0.159955\pi\) | |||||||
\(618\) | 0.520645 | + | 0.103563i | 0.0209434 | + | 0.00416591i | ||||
\(619\) | −3.84575 | − | 5.75558i | −0.154574 | − | 0.231336i | 0.746098 | − | 0.665836i | \(-0.231925\pi\) |
−0.900672 | + | 0.434500i | \(0.856925\pi\) | |||||||
\(620\) | −42.7735 | + | 17.7174i | −1.71783 | + | 0.711547i | ||||
\(621\) | −12.6309 | + | 5.23189i | −0.506860 | + | 0.209948i | ||||
\(622\) | 19.0495 | − | 12.7285i | 0.763816 | − | 0.510366i | ||||
\(623\) | −41.7046 | + | 27.8662i | −1.67086 | + | 1.11643i | ||||
\(624\) | 0.277003 | + | 1.12564i | 0.0110890 | + | 0.0450618i | ||||
\(625\) | 3.32116 | − | 3.32116i | 0.132846 | − | 0.132846i | ||||
\(626\) | 0.279869 | + | 1.40700i | 0.0111858 | + | 0.0562350i | ||||
\(627\) | 0.412290 | + | 0.170776i | 0.0164653 | + | 0.00682014i | ||||
\(628\) | 31.3416 | 1.25067 | ||||||||
\(629\) | −9.95293 | + | 15.4058i | −0.396849 | + | 0.614271i | ||||
\(630\) | −24.9711 | + | 24.9711i | −0.994871 | + | 0.994871i | ||||
\(631\) | −23.9076 | + | 9.90285i | −0.951746 | + | 0.394226i | −0.803887 | − | 0.594782i | \(-0.797238\pi\) |
−0.147859 | + | 0.989008i | \(0.547238\pi\) | |||||||
\(632\) | 2.32226 | + | 11.6748i | 0.0923744 | + | 0.464397i | ||||
\(633\) | −1.30412 | − | 1.30412i | −0.0518340 | − | 0.0518340i | ||||
\(634\) | −2.32305 | − | 11.6788i | −0.0922603 | − | 0.463824i | ||||
\(635\) | −15.2474 | − | 3.03291i | −0.605077 | − | 0.120357i | ||||
\(636\) | −0.570103 | + | 2.86610i | −0.0226061 | + | 0.113648i | ||||
\(637\) | 22.0804 | + | 47.1906i | 0.874858 | + | 1.86976i | ||||
\(638\) | −0.483114 | − | 1.16634i | −0.0191267 | − | 0.0461759i | ||||
\(639\) | −3.32617 | − | 4.97796i | −0.131581 | − | 0.196925i | ||||
\(640\) | −17.4584 | − | 26.1284i | −0.690105 | − | 1.03282i | ||||
\(641\) | 9.73803 | − | 1.93701i | 0.384629 | − | 0.0765075i | 0.00101140 | − | 0.999999i | \(-0.499678\pi\) |
0.383618 | + | 0.923492i | \(0.374678\pi\) | |||||||
\(642\) | 1.14511i | 0.0451939i | ||||||||
\(643\) | −9.29977 | − | 46.7531i | −0.366747 | − | 1.84376i | −0.518149 | − | 0.855290i | \(-0.673379\pi\) |
0.151402 | − | 0.988472i | \(-0.451621\pi\) | |||||||
\(644\) | −10.2268 | − | 24.6897i | −0.402993 | − | 0.972912i | ||||
\(645\) | 15.4812 | − | 15.4812i | 0.609572 | − | 0.609572i | ||||
\(646\) | −7.56181 | + | 0.116884i | −0.297516 | + | 0.00459875i | ||||
\(647\) | 18.9615i | 0.745454i | 0.927941 | + | 0.372727i | \(0.121577\pi\) | ||||
−0.927941 | + | 0.372727i | \(0.878423\pi\) | |||||||
\(648\) | 15.4205 | − | 6.38736i | 0.605773 | − | 0.250919i | ||||
\(649\) | −1.01043 | + | 1.51222i | −0.0396630 | + | 0.0593598i | ||||
\(650\) | 0.992151 | + | 22.0625i | 0.0389154 | + | 0.865362i | ||||
\(651\) | −24.6702 | + | 4.90720i | −0.966900 | + | 0.192328i | ||||
\(652\) | −1.83574 | + | 9.22887i | −0.0718930 | + | 0.361430i | ||||
\(653\) | −33.3183 | − | 6.62742i | −1.30385 | − | 0.259351i | −0.506168 | − | 0.862435i | \(-0.668939\pi\) |
−0.797678 | + | 0.603084i | \(0.793939\pi\) | |||||||
\(654\) | −1.48219 | − | 3.57833i | −0.0579584 | − | 0.139924i | ||||
\(655\) | −9.62216 | − | 3.98563i | −0.375969 | − | 0.155731i | ||||
\(656\) | −2.44695 | − | 3.66212i | −0.0955374 | − | 0.142982i | ||||
\(657\) | −1.50186 | + | 7.55038i | −0.0585933 | + | 0.294568i | ||||
\(658\) | 9.12694 | − | 13.6594i | 0.355805 | − | 0.532500i | ||||
\(659\) | −4.56041 | + | 4.56041i | −0.177648 | + | 0.177648i | −0.790330 | − | 0.612682i | \(-0.790091\pi\) |
0.612682 | + | 0.790330i | \(0.290091\pi\) | |||||||
\(660\) | 0.782920 | + | 0.523131i | 0.0304751 | + | 0.0203628i | ||||
\(661\) | −8.97255 | − | 21.6617i | −0.348992 | − | 0.842541i | −0.996740 | − | 0.0806859i | \(-0.974289\pi\) |
0.647748 | − | 0.761855i | \(-0.275711\pi\) | |||||||
\(662\) | 3.27058 | 0.127115 | ||||||||
\(663\) | 7.28149 | + | 4.25319i | 0.282790 | + | 0.165180i | ||||
\(664\) | −29.9626 | −1.16278 | ||||||||
\(665\) | 14.4482 | + | 34.8810i | 0.560277 | + | 1.35263i | ||||
\(666\) | 7.92850 | + | 5.29765i | 0.307223 | + | 0.205280i | ||||
\(667\) | 13.7906 | − | 13.7906i | 0.533974 | − | 0.533974i | ||||
\(668\) | 9.08538 | − | 13.5972i | 0.351524 | − | 0.526093i | ||||
\(669\) | 2.34944 | − | 11.8115i | 0.0908347 | − | 0.456657i | ||||
\(670\) | −19.3939 | − | 29.0250i | −0.749250 | − | 1.12133i | ||||
\(671\) | 1.11756 | + | 0.462907i | 0.0431428 | + | 0.0178703i | ||||
\(672\) | −5.86247 | − | 14.1533i | −0.226150 | − | 0.545974i | ||||
\(673\) | 19.0048 | + | 3.78030i | 0.732583 | + | 0.145720i | 0.547265 | − | 0.836959i | \(-0.315669\pi\) |
0.185317 | + | 0.982679i | \(0.440669\pi\) | |||||||
\(674\) | 1.17444 | − | 5.90430i | 0.0452377 | − | 0.227425i | ||||
\(675\) | 24.1761 | − | 4.80893i | 0.930539 | − | 0.185096i | ||||
\(676\) | −13.5674 | − | 11.3241i | −0.521823 | − | 0.435543i | ||||
\(677\) | −16.6516 | + | 24.9209i | −0.639975 | + | 0.957790i | 0.359719 | + | 0.933060i | \(0.382872\pi\) |
−0.999694 | + | 0.0247293i | \(0.992128\pi\) | |||||||
\(678\) | 1.95162 | − | 0.808385i | 0.0749513 | − | 0.0310459i | ||||
\(679\) | 1.78408i | 0.0684666i | ||||||||
\(680\) | −38.7909 | − | 7.09458i | −1.48756 | − | 0.272065i | ||||
\(681\) | −7.70176 | + | 7.70176i | −0.295132 | + | 0.295132i | ||||
\(682\) | 1.00671 | + | 2.43040i | 0.0385488 | + | 0.0930649i | ||||
\(683\) | −0.451046 | − | 2.26756i | −0.0172588 | − | 0.0867658i | 0.971196 | − | 0.238282i | \(-0.0765843\pi\) |
−0.988455 | + | 0.151516i | \(0.951584\pi\) | |||||||
\(684\) | − | 8.34373i | − | 0.319030i | ||||||
\(685\) | 49.4987 | − | 9.84591i | 1.89125 | − | 0.376193i | ||||
\(686\) | −15.3430 | − | 22.9625i | −0.585800 | − | 0.876712i | ||||
\(687\) | −3.32078 | − | 4.96989i | −0.126696 | − | 0.189613i | ||||
\(688\) | −2.35355 | − | 5.68196i | −0.0897281 | − | 0.216623i | ||||
\(689\) | −5.79075 | − | 12.3761i | −0.220610 | − | 0.471490i | ||||
\(690\) | 1.33730 | − | 6.72306i | 0.0509101 | − | 0.255942i | ||||
\(691\) | −19.9451 | − | 3.96733i | −0.758748 | − | 0.150924i | −0.199469 | − | 0.979904i | \(-0.563922\pi\) |
−0.559278 | + | 0.828980i | \(0.688922\pi\) | |||||||
\(692\) | 4.92193 | + | 24.7442i | 0.187104 | + | 0.940635i | ||||
\(693\) | −3.01097 | − | 3.01097i | −0.114377 | − | 0.114377i | ||||
\(694\) | −3.65170 | − | 18.3583i | −0.138617 | − | 0.696873i | ||||
\(695\) | 22.9225 | − | 9.49479i | 0.869499 | − | 0.360158i | ||||
\(696\) | 4.95529 | − | 4.95529i | 0.187830 | − | 0.187830i | ||||
\(697\) | −31.5165 | − | 5.76415i | −1.19377 | − | 0.218333i | ||||
\(698\) | 5.96885 | 0.225924 | ||||||||
\(699\) | 9.04033 | + | 3.74463i | 0.341937 | + | 0.141635i | ||||
\(700\) | 9.40006 | + | 47.2573i | 0.355289 | + | 1.78616i | ||||
\(701\) | 21.2240 | − | 21.2240i | 0.801619 | − | 0.801619i | −0.181729 | − | 0.983349i | \(-0.558169\pi\) |
0.983349 | + | 0.181729i | \(0.0581695\pi\) | |||||||
\(702\) | 4.81156 | − | 7.95262i | 0.181601 | − | 0.300152i | ||||
\(703\) | 8.47642 | − | 5.66376i | 0.319694 | − | 0.213613i | ||||
\(704\) | −1.00858 | + | 0.673913i | −0.0380124 | + | 0.0253991i | ||||
\(705\) | −8.26152 | + | 3.42203i | −0.311147 | + | 0.128881i | ||||
\(706\) | 20.3123 | − | 8.41365i | 0.764465 | − | 0.316652i | ||||
\(707\) | 8.64393 | + | 12.9365i | 0.325088 | + | 0.486529i | ||||
\(708\) | −4.00685 | − | 0.797012i | −0.150587 | − | 0.0299535i | ||||
\(709\) | 8.12672 | − | 12.1625i | 0.305205 | − | 0.456772i | −0.646886 | − | 0.762587i | \(-0.723929\pi\) |
0.952091 | + | 0.305815i | \(0.0989289\pi\) | |||||||
\(710\) | 6.36421 | 0.238844 | ||||||||
\(711\) | −6.58731 | + | 9.85861i | −0.247044 | + | 0.369727i | ||||
\(712\) | −11.1434 | + | 26.9025i | −0.417615 | + | 1.00821i | ||||
\(713\) | −28.7366 | + | 28.7366i | −1.07620 | + | 1.07620i | ||||
\(714\) | −8.06000 | − | 3.19353i | −0.301638 | − | 0.119515i | ||||
\(715\) | −4.39832 | + | 0.197792i | −0.164488 | + | 0.00739702i | ||||
\(716\) | 6.28605 | − | 15.1759i | 0.234921 | − | 0.567148i | ||||
\(717\) | 6.68596 | − | 1.32992i | 0.249692 | − | 0.0496668i | ||||
\(718\) | −7.08174 | − | 7.08174i | −0.264288 | − | 0.264288i | ||||
\(719\) | −5.09228 | − | 25.6006i | −0.189910 | − | 0.954741i | −0.951726 | − | 0.306948i | \(-0.900692\pi\) |
0.761816 | − | 0.647793i | \(-0.224308\pi\) | |||||||
\(720\) | 1.05344 | − | 5.29599i | 0.0392593 | − | 0.197370i | ||||
\(721\) | −4.50267 | + | 3.00859i | −0.167688 | + | 0.112046i | ||||
\(722\) | −10.1659 | − | 4.21086i | −0.378336 | − | 0.156712i | ||||
\(723\) | −4.93957 | + | 11.9252i | −0.183704 | + | 0.443502i | ||||
\(724\) | 5.28693 | − | 26.5792i | 0.196487 | − | 0.987808i | ||||
\(725\) | −29.2374 | + | 19.5358i | −1.08585 | + | 0.725541i | ||||
\(726\) | −2.74482 | + | 4.10791i | −0.101870 | + | 0.152459i | ||||
\(727\) | 6.75747 | + | 6.75747i | 0.250621 | + | 0.250621i | 0.821225 | − | 0.570604i | \(-0.193291\pi\) |
−0.570604 | + | 0.821225i | \(0.693291\pi\) | |||||||
\(728\) | 38.4155 | + | 23.2425i | 1.42377 | + | 0.861423i | ||||
\(729\) | 10.2961 | + | 4.26479i | 0.381337 | + | 0.157955i | ||||
\(730\) | −5.78654 | − | 5.78654i | −0.214169 | − | 0.214169i | ||||
\(731\) | −41.5925 | − | 16.4798i | −1.53835 | − | 0.609526i | ||||
\(732\) | 2.71716i | 0.100429i | ||||||||
\(733\) | −7.08561 | − | 17.1062i | −0.261713 | − | 0.631831i | 0.737332 | − | 0.675531i | \(-0.236085\pi\) |
−0.999045 | + | 0.0436998i | \(0.986085\pi\) | |||||||
\(734\) | 23.7523 | − | 4.72462i | 0.876712 | − | 0.174389i | ||||
\(735\) | 29.1566i | 1.07546i | ||||||||
\(736\) | −20.5798 | − | 13.7510i | −0.758580 | − | 0.506867i | ||||
\(737\) | 3.49978 | − | 2.33848i | 0.128916 | − | 0.0861390i | ||||
\(738\) | −3.24964 | + | 16.3370i | −0.119621 | + | 0.601374i | ||||
\(739\) | 26.9569 | + | 11.1659i | 0.991624 | + | 0.410744i | 0.818719 | − | 0.574194i | \(-0.194685\pi\) |
0.172905 | + | 0.984938i | \(0.444685\pi\) | |||||||
\(740\) | 19.8731 | − | 8.23170i | 0.730549 | − | 0.302603i | ||||
\(741\) | −2.77645 | − | 3.77624i | −0.101995 | − | 0.138724i | ||||
\(742\) | 7.80451 | + | 11.6803i | 0.286513 | + | 0.428796i | ||||
\(743\) | 5.56954 | + | 3.72145i | 0.204327 | + | 0.136527i | 0.653524 | − | 0.756906i | \(-0.273290\pi\) |
−0.449197 | + | 0.893433i | \(0.648290\pi\) | |||||||
\(744\) | −10.3258 | + | 10.3258i | −0.378560 | + | 0.378560i | ||||
\(745\) | −32.4508 | − | 21.6830i | −1.18891 | − | 0.794402i | ||||
\(746\) | 21.8792 | − | 9.06268i | 0.801056 | − | 0.331808i | ||||
\(747\) | −21.1038 | − | 21.1038i | −0.772147 | − | 0.772147i | ||||
\(748\) | 0.346165 | − | 1.89272i | 0.0126570 | − | 0.0692047i | ||||
\(749\) | −8.26015 | − | 8.26015i | −0.301819 | − | 0.301819i | ||||
\(750\) | −1.63957 | + | 3.95827i | −0.0598685 | + | 0.144535i | ||||
\(751\) | −4.66999 | + | 6.98913i | −0.170410 | + | 0.255037i | −0.906838 | − | 0.421479i | \(-0.861511\pi\) |
0.736428 | + | 0.676516i | \(0.236511\pi\) | |||||||
\(752\) | 2.51193i | 0.0916007i | ||||||||
\(753\) | 0.402903 | + | 2.02553i | 0.0146826 | + | 0.0738143i | ||||
\(754\) | −1.99994 | + | 13.1077i | −0.0728337 | + | 0.477355i | ||||
\(755\) | −17.9635 | − | 3.57316i | −0.653758 | − | 0.130041i | ||||
\(756\) | 7.76044 | − | 18.7353i | 0.282244 | − | 0.681398i | ||||
\(757\) | 7.20693 | + | 17.3991i | 0.261940 | + | 0.632380i | 0.999058 | − | 0.0433839i | \(-0.0138139\pi\) |
−0.737118 | + | 0.675764i | \(0.763814\pi\) | |||||||
\(758\) | 22.6549 | + | 4.50634i | 0.822864 | + | 0.163678i | ||||
\(759\) | 0.810655 | + | 0.161249i | 0.0294249 | + | 0.00585298i | ||||
\(760\) | 18.2246 | + | 12.1773i | 0.661077 | + | 0.441717i | ||||
\(761\) | −3.54917 | −0.128657 | −0.0643286 | − | 0.997929i | \(-0.520491\pi\) | ||||
−0.0643286 | + | 0.997929i | \(0.520491\pi\) | |||||||
\(762\) | −1.94608 | + | 0.387099i | −0.0704990 | + | 0.0140231i | ||||
\(763\) | 36.5036 | + | 15.1203i | 1.32152 | + | 0.547392i | ||||
\(764\) | 0.698960 | 0.0252875 | ||||||||
\(765\) | −22.3249 | − | 32.3188i | −0.807158 | − | 1.16849i | ||||
\(766\) | 29.0624i | 1.05007i | ||||||||
\(767\) | 17.3019 | − | 8.09554i | 0.624735 | − | 0.292313i | ||||
\(768\) | −6.66798 | − | 4.45540i | −0.240610 | − | 0.160770i | ||||
\(769\) | 19.9022 | 0.717692 | 0.358846 | − | 0.933397i | \(-0.383170\pi\) | ||||
0.358846 | + | 0.933397i | \(0.383170\pi\) | |||||||
\(770\) | 4.43950 | − | 0.883072i | 0.159988 | − | 0.0318237i | ||||
\(771\) | 5.92652 | + | 8.86966i | 0.213438 | + | 0.319433i | ||||
\(772\) | 11.5412 | − | 7.71159i | 0.415377 | − | 0.277546i | ||||
\(773\) | 15.0564 | − | 36.3494i | 0.541542 | − | 1.30740i | −0.382092 | − | 0.924124i | \(-0.624796\pi\) |
0.923635 | − | 0.383274i | \(-0.125204\pi\) | |||||||
\(774\) | −8.90092 | + | 21.4887i | −0.319937 | + | 0.772396i | ||||
\(775\) | 60.9244 | − | 40.7084i | 2.18847 | − | 1.46229i | ||||
\(776\) | 0.575429 | + | 0.861190i | 0.0206567 | + | 0.0309149i | ||||
\(777\) | 11.4620 | − | 2.27994i | 0.411198 | − | 0.0817924i | ||||
\(778\) | −19.0034 | −0.681306 | ||||||||
\(779\) | 14.8070 | + | 9.89372i | 0.530516 | + | 0.354479i | ||||
\(780\) | −4.19130 | − | 8.95770i | −0.150073 | − | 0.320737i | ||||
\(781\) | 0.767386i | 0.0274592i | ||||||||
\(782\) | −13.6942 | + | 2.94468i | −0.489704 | + | 0.105301i | ||||
\(783\) | 14.7994 | 0.528887 | ||||||||
\(784\) | 7.56686 | + | 3.13430i | 0.270245 | + | 0.111939i | ||||
\(785\) | −80.4345 | + | 15.9994i | −2.87083 | + | 0.571044i | ||||
\(786\) | −1.32929 | −0.0474143 | ||||||||
\(787\) | 6.94497 | + | 4.64048i | 0.247561 | + | 0.165415i | 0.673160 | − | 0.739497i | \(-0.264936\pi\) |
−0.425599 | + | 0.904912i | \(0.639936\pi\) | |||||||
\(788\) | −16.4347 | − | 3.26906i | −0.585462 | − | 0.116456i | ||||
\(789\) | 0.637817 | + | 0.126870i | 0.0227069 | + | 0.00451668i | ||||
\(790\) | −4.82334 | − | 11.6446i | −0.171607 | − | 0.414295i | ||||
\(791\) | −8.24658 | + | 19.9090i | −0.293215 | + | 0.707883i | ||||
\(792\) | −2.42457 | − | 0.482276i | −0.0861532 | − | 0.0171369i | ||||
\(793\) | −7.52586 | − | 10.2359i | −0.267251 | − | 0.363488i | ||||
\(794\) | 0.381933 | + | 1.92011i | 0.0135543 | + | 0.0681420i | ||||
\(795\) | − | 7.64654i | − | 0.271195i | ||||||
\(796\) | −2.30487 | + | 3.44949i | −0.0816941 | + | 0.122264i | ||||
\(797\) | −13.3746 | + | 32.2891i | −0.473753 | + | 1.14374i | 0.488740 | + | 0.872430i | \(0.337457\pi\) |
−0.962492 | + | 0.271310i | \(0.912543\pi\) | |||||||
\(798\) | 3.40739 | + | 3.40739i | 0.120620 | + | 0.120620i | ||||
\(799\) | 13.1189 | + | 12.7196i | 0.464115 | + | 0.449985i | ||||
\(800\) | 31.5553 | + | 31.5553i | 1.11565 | + | 1.11565i | ||||
\(801\) | −26.7971 | + | 11.0997i | −0.946827 | + | 0.392189i | ||||
\(802\) | −0.492607 | − | 0.329149i | −0.0173946 | − | 0.0116227i | ||||
\(803\) | 0.697731 | − | 0.697731i | 0.0246224 | − | 0.0246224i | ||||
\(804\) | 7.86143 | + | 5.25284i | 0.277251 | + | 0.185253i | ||||
\(805\) | 38.8497 | + | 58.1426i | 1.36927 | + | 2.04926i | ||||
\(806\) | 4.16745 | − | 27.3137i | 0.146792 | − | 0.962083i | ||||
\(807\) | 0.780077 | − | 0.323118i | 0.0274600 | − | 0.0113743i | ||||
\(808\) | 8.34499 | + | 3.45661i | 0.293576 | + | 0.121603i | ||||
\(809\) | 10.7069 | − | 53.8272i | 0.376434 | − | 1.89246i | −0.0698256 | − | 0.997559i | \(-0.522244\pi\) |
0.446260 | − | 0.894903i | \(-0.352756\pi\) | |||||||
\(810\) | −14.6947 | + | 9.81871i | −0.516321 | + | 0.344994i | ||||
\(811\) | 6.69836 | + | 4.47570i | 0.235211 | + | 0.157163i | 0.667590 | − | 0.744529i | \(-0.267326\pi\) |
−0.432379 | + | 0.901692i | \(0.642326\pi\) | |||||||
\(812\) | 28.9285i | 1.01519i | ||||||||
\(813\) | −7.45798 | + | 1.48348i | −0.261563 | + | 0.0520281i | ||||
\(814\) | −0.467727 | − | 1.12919i | −0.0163938 | − | 0.0395782i | ||||
\(815\) | − | 24.6219i | − | 0.862468i | ||||||
\(816\) | 1.29600 | − | 0.278680i | 0.0453691 | − | 0.00975575i | ||||
\(817\) | 17.5834 | + | 17.5834i | 0.615164 | + | 0.615164i | ||||
\(818\) | −11.1920 | − | 4.63586i | −0.391318 | − | 0.162089i | ||||
\(819\) | 10.6869 | + | 43.4279i | 0.373430 | + | 1.51749i | ||||
\(820\) | 26.5699 | + | 26.5699i | 0.927860 | + | 0.927860i | ||||
\(821\) | 15.2454 | − | 22.8163i | 0.532068 | − | 0.796296i | −0.463911 | − | 0.885882i | \(-0.653554\pi\) |
0.995979 | + | 0.0895859i | \(0.0285544\pi\) | |||||||
\(822\) | 5.35587 | − | 3.57868i | 0.186807 | − | 0.124821i | ||||
\(823\) | 2.36144 | − | 11.8718i | 0.0823146 | − | 0.413823i | −0.917554 | − | 0.397611i | \(-0.869839\pi\) |
0.999869 | − | 0.0162121i | \(-0.00516069\pi\) | |||||||
\(824\) | −1.20310 | + | 2.90454i | −0.0419120 | + | 0.101184i | ||||
\(825\) | −1.37680 | − | 0.570290i | −0.0479341 | − | 0.0198549i | ||||
\(826\) | −16.3292 | + | 10.9108i | −0.568165 | + | 0.379636i | ||||
\(827\) | −0.721506 | + | 3.62726i | −0.0250892 | + | 0.126132i | −0.991300 | − | 0.131621i | \(-0.957982\pi\) |
0.966211 | + | 0.257753i | \(0.0829820\pi\) | |||||||
\(828\) | −3.01488 | − | 15.1568i | −0.104774 | − | 0.526737i | ||||
\(829\) | 3.28177 | + | 3.28177i | 0.113981 | + | 0.113981i | 0.761797 | − | 0.647816i | \(-0.224317\pi\) |
−0.647816 | + | 0.761797i | \(0.724317\pi\) | |||||||
\(830\) | 31.1163 | − | 6.18942i | 1.08006 | − | 0.214838i | ||||
\(831\) | −2.99282 | + | 7.22531i | −0.103820 | + | 0.250643i | ||||
\(832\) | 12.7274 | − | 0.572353i | 0.441244 | − | 0.0198428i | ||||
\(833\) | 54.6854 | − | 23.6481i | 1.89474 | − | 0.819358i | ||||
\(834\) | 2.23921 | − | 2.23921i | 0.0775374 | − | 0.0775374i | ||||
\(835\) | −16.3754 | + | 39.5336i | −0.566693 | + | 1.36812i | ||||
\(836\) | −0.594165 | + | 0.889231i | −0.0205496 | + | 0.0307547i | ||||
\(837\) | −30.8387 | −1.06594 | ||||||||
\(838\) | −2.89052 | + | 4.32597i | −0.0998513 | + | 0.149438i | ||||
\(839\) | −43.1106 | − | 8.57524i | −1.48834 | − | 0.296050i | −0.617094 | − | 0.786889i | \(-0.711690\pi\) |
−0.871250 | + | 0.490839i | \(0.836690\pi\) | |||||||
\(840\) | 13.9596 | + | 20.8920i | 0.481652 | + | 0.720843i | ||||
\(841\) | 7.28784 | − | 3.01872i | 0.251305 | − | 0.104094i | ||||
\(842\) | 3.13196 | − | 1.29730i | 0.107935 | − | 0.0447080i | ||||
\(843\) | −5.91920 | + | 3.95509i | −0.203868 | + | 0.136220i | ||||
\(844\) | 3.67502 | − | 2.45557i | 0.126499 | − | 0.0845241i | ||||
\(845\) | 40.5999 | + | 22.1360i | 1.39668 | + | 0.761503i | ||||
\(846\) | 6.71746 | − | 6.71746i | 0.230951 | − | 0.230951i | ||||
\(847\) | −9.83254 | − | 49.4315i | −0.337850 | − | 1.69849i | ||||
\(848\) | −1.98446 | − | 0.821992i | −0.0681468 | − | 0.0282273i | ||||
\(849\) | −9.33153 | −0.320257 | ||||||||
\(850\) | 25.2519 | − | 0.390323i | 0.866134 | − | 0.0133880i | ||||
\(851\) | 13.3514 | − | 13.3514i | 0.457679 | − | 0.457679i | ||||
\(852\) | −1.59254 | + | 0.659650i | −0.0545594 | + | 0.0225993i | ||||
\(853\) | −6.67623 | − | 33.5637i | −0.228590 | − | 1.14920i | −0.909138 | − | 0.416495i | \(-0.863258\pi\) |
0.680549 | − | 0.732703i | \(-0.261742\pi\) | |||||||
\(854\) | 9.23610 | + | 9.23610i | 0.316053 | + | 0.316053i | ||||
\(855\) | 4.25935 | + | 21.4132i | 0.145667 | + | 0.732315i | ||||
\(856\) | −6.65144 | − | 1.32305i | −0.227341 | − | 0.0452210i | ||||
\(857\) | −6.49084 | + | 32.6316i | −0.221723 | + | 1.11468i | 0.696179 | + | 0.717868i | \(0.254882\pi\) |
−0.917902 | + | 0.396807i | \(0.870118\pi\) | |||||||
\(858\) | −0.508978 | + | 0.238151i | −0.0173762 | + | 0.00813033i | ||||
\(859\) | −3.68199 | − | 8.88911i | −0.125628 | − | 0.303292i | 0.848535 | − | 0.529139i | \(-0.177485\pi\) |
−0.974163 | + | 0.225847i | \(0.927485\pi\) | |||||||
\(860\) | 29.1501 | + | 43.6262i | 0.994009 | + | 1.48764i | ||||
\(861\) | 11.3418 | + | 16.9742i | 0.386527 | + | 0.578478i | ||||
\(862\) | 2.89239 | − | 0.575332i | 0.0985151 | − | 0.0195959i | ||||
\(863\) | 32.3054i | 1.09969i | 0.835267 | + | 0.549844i | \(0.185313\pi\) | ||||
−0.835267 | + | 0.549844i | \(0.814687\pi\) | |||||||
\(864\) | −3.66416 | − | 18.4210i | −0.124657 | − | 0.626695i | ||||
\(865\) | −25.2631 | − | 60.9906i | −0.858972 | − | 2.07374i | ||||
\(866\) | 5.12267 | − | 5.12267i | 0.174076 | − | 0.174076i | ||||
\(867\) | 5.10706 | − | 8.17971i | 0.173445 | − | 0.277797i | ||||
\(868\) | − | 60.2808i | − | 2.04606i | ||||||
\(869\) | 1.40408 | − | 0.581591i | 0.0476303 | − | 0.0197291i | ||||
\(870\) | −4.12246 | + | 6.16970i | −0.139765 | + | 0.209172i | ||||
\(871\) | −44.1642 | + | 1.98607i | −1.49645 | + | 0.0672953i | ||||
\(872\) | 22.4975 | − | 4.47502i | 0.761860 | − | 0.151543i | ||||
\(873\) | −0.201272 | + | 1.01186i | −0.00681202 | + | 0.0342464i | ||||
\(874\) | 7.63597 | + | 1.51889i | 0.258290 | + | 0.0513772i | ||||
\(875\) | −16.7257 | − | 40.3795i | −0.565432 | − | 1.36507i | ||||
\(876\) | 2.04776 | + | 0.848210i | 0.0691874 | + | 0.0286584i | ||||
\(877\) | −5.89460 | − | 8.82189i | −0.199046 | − | 0.297894i | 0.718497 | − | 0.695530i | \(-0.244831\pi\) |
−0.917543 | + | 0.397636i | \(0.869831\pi\) | |||||||
\(878\) | −1.47587 | + | 7.41971i | −0.0498082 | + | 0.250403i | ||||
\(879\) | −3.49938 | + | 5.23720i | −0.118031 | + | 0.176646i | ||||
\(880\) | −0.489403 | + | 0.489403i | −0.0164978 | + | 0.0164978i | ||||
\(881\) | 0.527718 | + | 0.352610i | 0.0177793 | + | 0.0118797i | 0.564428 | − | 0.825482i | \(-0.309097\pi\) |
−0.546649 | + | 0.837362i | \(0.684097\pi\) | |||||||
\(882\) | −11.8537 | − | 28.6173i | −0.399134 | − | 0.963594i | ||||
\(883\) | 46.1656 | 1.55360 | 0.776799 | − | 0.629749i | \(-0.216842\pi\) | ||||
0.776799 | + | 0.629749i | \(0.216842\pi\) | |||||||
\(884\) | −13.4014 | + | 15.1264i | −0.450736 | + | 0.508756i | ||||
\(885\) | 10.6900 | 0.359339 | ||||||||
\(886\) | −3.88905 | − | 9.38900i | −0.130655 | − | 0.315430i | ||||
\(887\) | −30.1095 | − | 20.1185i | −1.01098 | − | 0.675514i | −0.0643790 | − | 0.997926i | \(-0.520507\pi\) |
−0.946600 | + | 0.322411i | \(0.895507\pi\) | |||||||
\(888\) | 4.79746 | − | 4.79746i | 0.160992 | − | 0.160992i | ||||
\(889\) | 11.2456 | − | 16.8302i | 0.377164 | − | 0.564466i | ||||
\(890\) | 6.01515 | − | 30.2402i | 0.201628 | − | 1.01365i | ||||
\(891\) | −1.18392 | − | 1.77187i | −0.0396630 | − | 0.0593598i | ||||
\(892\) | 26.6640 | + | 11.0446i | 0.892777 | + | 0.369800i | ||||
\(893\) | −3.88670 | − | 9.38333i | −0.130064 | − | 0.314001i | ||||
\(894\) | −4.88559 | − | 0.971804i | −0.163399 | − | 0.0325020i | ||||
\(895\) | −8.38534 | + | 42.1560i | −0.280291 | + | 1.40912i | ||||
\(896\) | 40.1291 | − | 7.98217i | 1.34062 | − | 0.266666i | ||||
\(897\) | −6.40807 | − | 5.85653i | −0.213959 | − | 0.195544i | ||||
\(898\) | 9.89929 | − | 14.8153i | 0.330344 | − | 0.494394i | ||||
\(899\) | 40.6435 | − | 16.8351i | 1.35554 | − | 0.561482i | ||||
\(900\) | 27.8630i | 0.928768i | ||||||||
\(901\) | −14.3416 | + | 6.20188i | −0.477789 | + | 0.206615i | ||||
\(902\) | 1.50971 | − | 1.50971i | 0.0502677 | − | 0.0502677i | ||||
\(903\) | 10.9088 | + | 26.3363i | 0.363023 | + | 0.876416i | ||||
\(904\) | 2.44067 | + | 12.2701i | 0.0811754 | + | 0.408096i | ||||
\(905\) | 70.9113i | 2.35717i | ||||||||
\(906\) | −2.29274 | + | 0.456054i | −0.0761711 | + | 0.0151514i | ||||
\(907\) | 21.0052 | + | 31.4365i | 0.697465 | + | 1.04383i | 0.995993 | + | 0.0894297i | \(0.0285044\pi\) |
−0.298528 | + | 0.954401i | \(0.596496\pi\) | |||||||
\(908\) | −14.5019 | − | 21.7036i | −0.481262 | − | 0.720260i | ||||
\(909\) | 3.44307 | + | 8.31230i | 0.114199 | + | 0.275701i | ||||
\(910\) | −44.6958 | − | 16.2018i | −1.48165 | − | 0.537086i | ||||
\(911\) | 1.34300 | − | 6.75173i | 0.0444957 | − | 0.223695i | −0.952139 | − | 0.305665i | \(-0.901121\pi\) |
0.996635 | + | 0.0819702i | \(0.0261212\pi\) | |||||||
\(912\) | −0.722657 | − | 0.143745i | −0.0239296 | − | 0.00475989i | ||||
\(913\) | 0.746310 | + | 3.75195i | 0.0246992 | + | 0.124171i | ||||
\(914\) | 5.80775 | + | 5.80775i | 0.192103 | + | 0.192103i | ||||
\(915\) | −1.38707 | − | 6.97326i | −0.0458550 | − | 0.230529i | ||||
\(916\) | 13.2342 | − | 5.48178i | 0.437270 | − | 0.181123i | ||||
\(917\) | 9.58873 | − | 9.58873i | 0.316648 | − | 0.316648i | ||||
\(918\) | −8.92801 | − | 5.76793i | −0.294668 | − | 0.190370i | ||||
\(919\) | −3.61877 | −0.119372 | −0.0596861 | − | 0.998217i | \(-0.519010\pi\) | ||||
−0.0596861 | + | 0.998217i | \(0.519010\pi\) | |||||||
\(920\) | 37.5061 | + | 15.5356i | 1.23654 | + | 0.512192i | ||||
\(921\) | 0.677090 | + | 3.40396i | 0.0223109 | + | 0.112164i | ||||
\(922\) | 2.23429 | − | 2.23429i | 0.0735823 | − | 0.0735823i | ||||
\(923\) | 4.17224 | − | 6.89594i | 0.137331 | − | 0.226983i | ||||
\(924\) | −1.01938 | + | 0.681129i | −0.0335352 | + | 0.0224075i | ||||
\(925\) | −28.3062 | + | 18.9136i | −0.930701 | + | 0.621874i | ||||
\(926\) | −22.1960 | + | 9.19388i | −0.729406 | + | 0.302130i | ||||
\(927\) | −2.89316 | + | 1.19839i | −0.0950239 | + | 0.0393602i | ||||
\(928\) | 14.8853 | + | 22.2774i | 0.488634 | + | 0.731293i | ||||
\(929\) | −50.7935 | − | 10.1035i | −1.66648 | − | 0.331484i | −0.730333 | − | 0.683091i | \(-0.760635\pi\) |
−0.936147 | + | 0.351608i | \(0.885635\pi\) | |||||||
\(930\) | 8.59032 | − | 12.8563i | 0.281688 | − | 0.421576i | ||||
\(931\) | −33.1158 | −1.08533 | ||||||||
\(932\) | −13.0283 | + | 19.4983i | −0.426757 | + | 0.638687i | ||||
\(933\) | 6.21376 | − | 15.0013i | 0.203429 | − | 0.491122i | ||||
\(934\) | 5.37022 | − | 5.37022i | 0.175719 | − | 0.175719i | ||||
\(935\) | 0.0778137 | + | 5.03415i | 0.00254478 | + | 0.164634i | ||||
\(936\) | 19.1657 | + | 17.5161i | 0.626450 | + | 0.572532i | ||||
\(937\) | −21.1191 | + | 50.9860i | −0.689931 | + | 1.66564i | 0.0549893 | + | 0.998487i | \(0.482488\pi\) |
−0.744920 | + | 0.667154i | \(0.767512\pi\) | |||||||
\(938\) | 44.5778 | − | 8.86707i | 1.45552 | − | 0.289520i | ||||
\(939\) | 0.718922 | + | 0.718922i | 0.0234611 | + | 0.0234611i | ||||
\(940\) | −4.18082 | − | 21.0184i | −0.136363 | − | 0.685544i | ||||
\(941\) | 9.45109 | − | 47.5138i | 0.308097 | − | 1.54891i | −0.447750 | − | 0.894159i | \(-0.647775\pi\) |
0.755847 | − | 0.654748i | \(-0.227225\pi\) | |||||||
\(942\) | −8.70319 | + | 5.81529i | −0.283565 | + | 0.189472i | ||||
\(943\) | 30.4727 | + | 12.6222i | 0.992327 | + | 0.411035i | ||||
\(944\) | 1.14916 | − | 2.77431i | 0.0374018 | − | 0.0902960i | ||||
\(945\) | −10.3521 | + | 52.0436i | −0.336754 | + | 1.69298i | ||||
\(946\) | 2.47885 | − | 1.65631i | 0.0805943 | − | 0.0538514i | ||||
\(947\) | 4.59751 | − | 6.88066i | 0.149399 | − | 0.223591i | −0.749220 | − | 0.662321i | \(-0.769571\pi\) |
0.898619 | + | 0.438730i | \(0.144571\pi\) | |||||||
\(948\) | 2.41392 | + | 2.41392i | 0.0784005 | + | 0.0784005i | ||||
\(949\) | −10.0635 | + | 2.47647i | −0.326676 | + | 0.0803897i | ||||
\(950\) | −12.9688 | − | 5.37184i | −0.420763 | − | 0.174286i | ||||
\(951\) | −5.96741 | − | 5.96741i | −0.193506 | − | 0.193506i | ||||
\(952\) | 27.8622 | − | 43.1271i | 0.903020 | − | 1.39776i | ||||
\(953\) | − | 16.4325i | − | 0.532300i | −0.963932 | − | 0.266150i | \(-0.914248\pi\) | ||
0.963932 | − | 0.266150i | \(-0.0857516\pi\) | |||||||
\(954\) | 3.10871 | + | 7.50508i | 0.100648 | + | 0.242986i | ||||
\(955\) | −1.79380 | + | 0.356808i | −0.0580459 | + | 0.0115460i | ||||
\(956\) | 16.3369i | 0.528374i | ||||||||
\(957\) | −0.743933 | − | 0.497080i | −0.0240479 | − | 0.0160683i | ||||
\(958\) | 8.64478 | − | 5.77626i | 0.279300 | − | 0.186622i | ||||
\(959\) | −12.8196 | + | 64.4485i | −0.413967 | + | 2.08115i | ||||
\(960\) | 6.58700 | + | 2.72843i | 0.212595 | + | 0.0880596i | ||||
\(961\) | −56.0520 | + | 23.2175i | −1.80813 | + | 0.748952i | ||||
\(962\) | −1.93625 | + | 12.6902i | −0.0624271 | + | 0.409150i | ||||
\(963\) | −3.75297 | − | 5.61672i | −0.120938 | − | 0.180996i | ||||
\(964\) | −25.7203 | − | 17.1858i | −0.828396 | − | 0.553516i | ||||
\(965\) | −25.6825 | + | 25.6825i | −0.826748 | + | 0.826748i | ||||
\(966\) | 7.42093 | + | 4.95851i | 0.238764 | + | 0.159537i | ||||
\(967\) | −46.7450 | + | 19.3624i | −1.50322 | + | 0.622653i | −0.974145 | − | 0.225925i | \(-0.927460\pi\) |
−0.529072 | + | 0.848577i | \(0.677460\pi\) | |||||||
\(968\) | −20.6897 | − | 20.6897i | −0.664991 | − | 0.664991i | ||||
\(969\) | −4.41002 | + | 3.04631i | −0.141670 | + | 0.0978616i | ||||
\(970\) | −0.775481 | − | 0.775481i | −0.0248992 | − | 0.0248992i | ||||
\(971\) | 19.0829 | − | 46.0702i | 0.612399 | − | 1.47846i | −0.247957 | − | 0.968771i | \(-0.579759\pi\) |
0.860357 | − | 0.509692i | \(-0.170241\pi\) | |||||||
\(972\) | 9.95720 | − | 14.9020i | 0.319377 | − | 0.477982i | ||||
\(973\) | 32.3046i | 1.03564i | ||||||||
\(974\) | −2.93388 | − | 14.7496i | −0.0940077 | − | 0.472608i | ||||
\(975\) | 9.27168 | + | 12.6104i | 0.296931 | + | 0.403856i | ||||
\(976\) | −1.95884 | − | 0.389637i | −0.0627009 | − | 0.0124720i | ||||
\(977\) | −10.0110 | + | 24.1686i | −0.320279 | + | 0.773222i | 0.678958 | + | 0.734177i | \(0.262432\pi\) |
−0.999237 | + | 0.0390452i | \(0.987568\pi\) | |||||||
\(978\) | −1.20261 | − | 2.90336i | −0.0384552 | − | 0.0928391i | ||||
\(979\) | 3.64631 | + | 0.725297i | 0.116537 | + | 0.0231806i | ||||
\(980\) | −68.5318 | − | 13.6318i | −2.18917 | − | 0.435453i | ||||
\(981\) | 18.9977 | + | 12.6938i | 0.606550 | + | 0.405283i | ||||
\(982\) | 26.5512 | 0.847284 | ||||||||
\(983\) | −31.1100 | + | 6.18817i | −0.992256 | + | 0.197372i | −0.664417 | − | 0.747362i | \(-0.731320\pi\) |
−0.327839 | + | 0.944734i | \(0.606320\pi\) | |||||||
\(984\) | 10.9496 | + | 4.53545i | 0.349059 | + | 0.144585i | ||||
\(985\) | 43.8465 | 1.39707 | ||||||||
\(986\) | 14.9153 | + | 2.72791i | 0.475001 | + | 0.0868743i | ||||
\(987\) | − | 11.6430i | − | 0.370600i | ||||||
\(988\) | 10.1740 | − | 4.76043i | 0.323679 | − | 0.151449i | ||||
\(989\) | 38.2947 | + | 25.5877i | 1.21770 | + | 0.813641i | ||||
\(990\) | 2.61754 | 0.0831910 | ||||||||
\(991\) | −3.08581 | + | 0.613806i | −0.0980240 | + | 0.0194982i | −0.243859 | − | 0.969811i | \(-0.578413\pi\) |
0.145835 | + | 0.989309i | \(0.453413\pi\) | |||||||
\(992\) | −31.0178 | − | 46.4214i | −0.984815 | − | 1.47388i | ||||
\(993\) | 1.92730 | − | 1.28778i | 0.0611609 | − | 0.0408664i | ||||
\(994\) | −3.17105 | + | 7.65559i | −0.100580 | + | 0.242820i | ||||
\(995\) | 4.15427 | − | 10.0293i | 0.131699 | − | 0.317950i | ||||
\(996\) | −7.14480 | + | 4.77400i | −0.226392 | + | 0.151270i | ||||
\(997\) | 23.1080 | + | 34.5835i | 0.731836 | + | 1.09527i | 0.991568 | + | 0.129589i | \(0.0413659\pi\) |
−0.259731 | + | 0.965681i | \(0.583634\pi\) | |||||||
\(998\) | −27.8730 | + | 5.54429i | −0.882305 | + | 0.175501i | ||||
\(999\) | 14.3280 | 0.453318 |
(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 | 221.2.z.a.44.7 | ✓ | 152 | |
13.8 | odd | 4 | 221.2.ba.a.112.13 | yes | 152 | ||
17.12 | odd | 16 | 221.2.ba.a.148.13 | yes | 152 | ||
221.216 | even | 16 | inner | 221.2.z.a.216.7 | yes | 152 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
221.2.z.a.44.7 | ✓ | 152 | 1.1 | even | 1 | trivial | |
221.2.z.a.216.7 | yes | 152 | 221.216 | even | 16 | inner | |
221.2.ba.a.112.13 | yes | 152 | 13.8 | odd | 4 | ||
221.2.ba.a.148.13 | yes | 152 | 17.12 | odd | 16 |