Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [384,2,Mod(13,384)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(384, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([0, 15, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("384.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 384 = 2^{7} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 384.v (of order \(32\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.06625543762\) |
Analytic rank: | \(0\) |
Dimension: | \(512\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 109.10 | ||
Character | \(\chi\) | \(=\) | 384.109 |
Dual form | 384.2.v.a.229.10 |
$q$-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 \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(133\) | \(257\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{23}{32}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.699590 | − | 1.22905i | −0.494685 | − | 0.869072i | ||||
\(3\) | 0.881921 | + | 0.471397i | 0.509177 | + | 0.272161i | ||||
\(4\) | −1.02115 | + | 1.71967i | −0.510573 | + | 0.859834i | ||||
\(5\) | −0.339008 | + | 0.413082i | −0.151609 | + | 0.184736i | −0.843277 | − | 0.537480i | \(-0.819376\pi\) |
0.691668 | + | 0.722216i | \(0.256876\pi\) | |||||||
\(6\) | −0.0376117 | − | 1.41371i | −0.0153549 | − | 0.577146i | ||||
\(7\) | −4.31689 | − | 2.88445i | −1.63163 | − | 1.09022i | −0.923113 | − | 0.384528i | \(-0.874364\pi\) |
−0.708518 | − | 0.705693i | \(-0.750636\pi\) | |||||||
\(8\) | 2.82795 | + | 0.0519807i | 0.999831 | + | 0.0183779i | ||||
\(9\) | 0.555570 | + | 0.831470i | 0.185190 | + | 0.277157i | ||||
\(10\) | 0.744867 | + | 0.127671i | 0.235548 | + | 0.0403730i | ||||
\(11\) | −3.29644 | − | 0.999964i | −0.993914 | − | 0.301501i | −0.248885 | − | 0.968533i | \(-0.580064\pi\) |
−0.745029 | + | 0.667032i | \(0.767564\pi\) | |||||||
\(12\) | −1.71122 | + | 1.03525i | −0.493986 | + | 0.298850i | ||||
\(13\) | 2.77532 | − | 2.27765i | 0.769735 | − | 0.631705i | −0.165307 | − | 0.986242i | \(-0.552861\pi\) |
0.935042 | + | 0.354537i | \(0.115361\pi\) | |||||||
\(14\) | −0.525094 | + | 7.32363i | −0.140337 | + | 1.95732i | ||||
\(15\) | −0.493704 | + | 0.204499i | −0.127474 | + | 0.0528014i | ||||
\(16\) | −1.91452 | − | 3.51207i | −0.478630 | − | 0.878017i | ||||
\(17\) | −4.63305 | − | 1.91907i | −1.12368 | − | 0.465443i | −0.258051 | − | 0.966131i | \(-0.583080\pi\) |
−0.865628 | + | 0.500688i | \(0.833080\pi\) | |||||||
\(18\) | 0.633249 | − | 1.26451i | 0.149258 | − | 0.298049i | ||||
\(19\) | 0.220186 | − | 2.23558i | 0.0505140 | − | 0.512878i | −0.936321 | − | 0.351146i | \(-0.885792\pi\) |
0.986835 | − | 0.161732i | \(-0.0517079\pi\) | |||||||
\(20\) | −0.364188 | − | 1.00480i | −0.0814349 | − | 0.224680i | ||||
\(21\) | −2.44744 | − | 4.57883i | −0.534074 | − | 0.999182i | ||||
\(22\) | 1.07715 | + | 4.75107i | 0.229649 | + | 1.01293i | ||||
\(23\) | −5.50727 | − | 1.09546i | −1.14835 | − | 0.228420i | −0.416007 | − | 0.909361i | \(-0.636571\pi\) |
−0.732338 | + | 0.680941i | \(0.761571\pi\) | |||||||
\(24\) | 2.46953 | + | 1.37893i | 0.504090 | + | 0.281473i | ||||
\(25\) | 0.919741 | + | 4.62385i | 0.183948 | + | 0.924770i | ||||
\(26\) | −4.74094 | − | 1.81760i | −0.929774 | − | 0.356460i | ||||
\(27\) | 0.0980171 | + | 0.995185i | 0.0188634 | + | 0.191523i | ||||
\(28\) | 9.36848 | − | 4.47817i | 1.77048 | − | 0.846295i | ||||
\(29\) | −1.91561 | − | 6.31491i | −0.355719 | − | 1.17265i | −0.934139 | − | 0.356910i | \(-0.883830\pi\) |
0.578419 | − | 0.815740i | \(-0.303670\pi\) | |||||||
\(30\) | 0.596731 | + | 0.463723i | 0.108948 | + | 0.0846639i | ||||
\(31\) | 6.96985 | − | 6.96985i | 1.25182 | − | 1.25182i | 0.296920 | − | 0.954902i | \(-0.404041\pi\) |
0.954902 | − | 0.296920i | \(-0.0959594\pi\) | |||||||
\(32\) | −2.97714 | + | 4.81006i | −0.526289 | + | 0.850306i | ||||
\(33\) | −2.43582 | − | 2.43582i | −0.424022 | − | 0.424022i | ||||
\(34\) | 0.882594 | + | 7.03683i | 0.151364 | + | 1.20681i | ||||
\(35\) | 2.65498 | − | 0.805379i | 0.448773 | − | 0.136134i | ||||
\(36\) | −1.99717 | + | 0.106344i | −0.332862 | + | 0.0177240i | ||||
\(37\) | −2.66498 | + | 0.262477i | −0.438120 | + | 0.0431510i | −0.314673 | − | 0.949200i | \(-0.601895\pi\) |
−0.123447 | + | 0.992351i | \(0.539395\pi\) | |||||||
\(38\) | −2.90169 | + | 1.29337i | −0.470716 | + | 0.209813i | ||||
\(39\) | 3.52129 | − | 0.700428i | 0.563857 | − | 0.112158i | ||||
\(40\) | −0.980170 | + | 1.15055i | −0.154978 | + | 0.181919i | ||||
\(41\) | −0.485925 | + | 2.44291i | −0.0758888 | + | 0.381519i | −1.00000 | 0.000605315i | \(-0.999807\pi\) | |
0.924111 | + | 0.382124i | \(0.124807\pi\) | |||||||
\(42\) | −3.91543 | + | 6.21133i | −0.604163 | + | 0.958430i | ||||
\(43\) | −5.65361 | + | 3.02192i | −0.862168 | + | 0.460838i | −0.842328 | − | 0.538965i | \(-0.818815\pi\) |
−0.0198394 | + | 0.999803i | \(0.506315\pi\) | |||||||
\(44\) | 5.08576 | − | 4.64767i | 0.766706 | − | 0.700663i | ||||
\(45\) | −0.531808 | − | 0.0523785i | −0.0792773 | − | 0.00780813i | ||||
\(46\) | 2.50645 | + | 7.53511i | 0.369556 | + | 1.11099i | ||||
\(47\) | −2.20092 | + | 5.31349i | −0.321037 | + | 0.775053i | 0.678157 | + | 0.734917i | \(0.262779\pi\) |
−0.999194 | + | 0.0401355i | \(0.987221\pi\) | |||||||
\(48\) | −0.0328781 | − | 3.99986i | −0.00474555 | − | 0.577331i | ||||
\(49\) | 7.63668 | + | 18.4366i | 1.09095 | + | 2.63380i | ||||
\(50\) | 5.03952 | − | 4.36521i | 0.712696 | − | 0.617334i | ||||
\(51\) | −3.18134 | − | 3.87647i | −0.445477 | − | 0.542815i | ||||
\(52\) | 1.08279 | + | 7.09844i | 0.150156 | + | 0.984376i | ||||
\(53\) | −2.24662 | + | 7.40613i | −0.308598 | + | 1.01731i | 0.656260 | + | 0.754535i | \(0.272138\pi\) |
−0.964857 | + | 0.262775i | \(0.915362\pi\) | |||||||
\(54\) | 1.15456 | − | 0.816690i | 0.157116 | − | 0.111137i | ||||
\(55\) | 1.53059 | − | 1.02271i | 0.206384 | − | 0.137902i | ||||
\(56\) | −12.0580 | − | 8.38148i | −1.61132 | − | 1.12002i | ||||
\(57\) | 1.24803 | − | 1.86781i | 0.165306 | − | 0.247398i | ||||
\(58\) | −6.42123 | + | 6.77224i | −0.843148 | + | 0.889238i | ||||
\(59\) | 7.81729 | + | 6.41548i | 1.01772 | + | 0.835224i | 0.986413 | − | 0.164285i | \(-0.0525318\pi\) |
0.0313110 | + | 0.999510i | \(0.490032\pi\) | |||||||
\(60\) | 0.152474 | − | 1.05783i | 0.0196843 | − | 0.136565i | ||||
\(61\) | 5.37122 | − | 10.0489i | 0.687715 | − | 1.28662i | −0.259413 | − | 0.965766i | \(-0.583529\pi\) |
0.947128 | − | 0.320857i | \(-0.103971\pi\) | |||||||
\(62\) | −13.4424 | − | 3.69028i | −1.70718 | − | 0.468666i | ||||
\(63\) | − | 5.19188i | − | 0.654115i | ||||||
\(64\) | 7.99460 | + | 0.293997i | 0.999325 | + | 0.0367497i | ||||
\(65\) | 1.91858i | 0.237970i | ||||||||
\(66\) | −1.28968 | + | 4.69783i | −0.158748 | + | 0.578263i | ||||
\(67\) | 2.12238 | − | 3.97069i | 0.259290 | − | 0.485097i | −0.718267 | − | 0.695767i | \(-0.755064\pi\) |
0.977557 | + | 0.210670i | \(0.0675645\pi\) | |||||||
\(68\) | 8.03119 | − | 6.00765i | 0.973925 | − | 0.728535i | ||||
\(69\) | −4.34058 | − | 3.56222i | −0.522544 | − | 0.428841i | ||||
\(70\) | −2.84725 | − | 2.69968i | −0.340312 | − | 0.322673i | ||||
\(71\) | 1.78359 | − | 2.66934i | 0.211674 | − | 0.316792i | −0.710406 | − | 0.703792i | \(-0.751489\pi\) |
0.922080 | + | 0.387000i | \(0.126489\pi\) | |||||||
\(72\) | 1.52790 | + | 2.38023i | 0.180065 | + | 0.280513i | ||||
\(73\) | 0.963861 | − | 0.644031i | 0.112811 | − | 0.0753782i | −0.497885 | − | 0.867243i | \(-0.665890\pi\) |
0.610696 | + | 0.791865i | \(0.290890\pi\) | |||||||
\(74\) | 2.18699 | + | 3.09178i | 0.254233 | + | 0.359412i | ||||
\(75\) | −1.36853 | + | 4.51143i | −0.158024 | + | 0.520936i | ||||
\(76\) | 3.61962 | + | 2.66150i | 0.415199 | + | 0.305295i | ||||
\(77\) | 11.3460 | + | 13.8252i | 1.29300 | + | 1.57552i | ||||
\(78\) | −3.32432 | − | 3.83784i | −0.376405 | − | 0.434550i | ||||
\(79\) | −3.81143 | − | 9.20161i | −0.428819 | − | 1.03526i | −0.979662 | − | 0.200653i | \(-0.935694\pi\) |
0.550843 | − | 0.834609i | \(-0.314306\pi\) | |||||||
\(80\) | 2.09981 | + | 0.399765i | 0.234766 | + | 0.0446951i | ||||
\(81\) | −0.382683 | + | 0.923880i | −0.0425204 | + | 0.102653i | ||||
\(82\) | 3.34242 | − | 1.11181i | 0.369108 | − | 0.122779i | ||||
\(83\) | −10.4553 | − | 1.02975i | −1.14761 | − | 0.113030i | −0.493723 | − | 0.869619i | \(-0.664364\pi\) |
−0.653890 | + | 0.756589i | \(0.726864\pi\) | |||||||
\(84\) | 10.3733 | + | 0.466879i | 1.13182 | + | 0.0509407i | ||||
\(85\) | 2.36338 | − | 1.26325i | 0.256344 | − | 0.137019i | ||||
\(86\) | 7.66931 | + | 4.83449i | 0.827003 | + | 0.521316i | ||||
\(87\) | 1.28741 | − | 6.47227i | 0.138025 | − | 0.693900i | ||||
\(88\) | −9.27019 | − | 2.99920i | −0.988205 | − | 0.319716i | ||||
\(89\) | 14.4051 | − | 2.86536i | 1.52694 | − | 0.303728i | 0.641007 | − | 0.767535i | \(-0.278517\pi\) |
0.885936 | + | 0.463808i | \(0.153517\pi\) | |||||||
\(90\) | 0.307672 | + | 0.690265i | 0.0324315 | + | 0.0727603i | ||||
\(91\) | −18.5505 | + | 1.82707i | −1.94462 | + | 0.191529i | ||||
\(92\) | 7.50756 | − | 8.35205i | 0.782718 | − | 0.870761i | ||||
\(93\) | 9.43243 | − | 2.86129i | 0.978097 | − | 0.296702i | ||||
\(94\) | 8.07031 | − | 1.01222i | 0.832389 | − | 0.104402i | ||||
\(95\) | 0.848835 | + | 0.848835i | 0.0870886 | + | 0.0870886i | ||||
\(96\) | −4.89305 | + | 2.83868i | −0.499395 | + | 0.289721i | ||||
\(97\) | 9.74616 | − | 9.74616i | 0.989572 | − | 0.989572i | −0.0103737 | − | 0.999946i | \(-0.503302\pi\) |
0.999946 | + | 0.0103737i | \(0.00330212\pi\) | |||||||
\(98\) | 17.3170 | − | 22.2840i | 1.74928 | − | 2.25102i | ||||
\(99\) | −0.999964 | − | 3.29644i | −0.100500 | − | 0.331305i | ||||
\(100\) | −8.89068 | − | 3.13998i | −0.889068 | − | 0.313998i | ||||
\(101\) | −0.120717 | − | 1.22566i | −0.0120118 | − | 0.121958i | 0.987309 | − | 0.158812i | \(-0.0507664\pi\) |
−0.999321 | + | 0.0368539i | \(0.988266\pi\) | |||||||
\(102\) | −2.53876 | + | 6.62198i | −0.251375 | + | 0.655674i | ||||
\(103\) | −0.0864331 | − | 0.434529i | −0.00851651 | − | 0.0428154i | 0.976293 | − | 0.216452i | \(-0.0694483\pi\) |
−0.984810 | + | 0.173636i | \(0.944448\pi\) | |||||||
\(104\) | 7.96686 | − | 6.29680i | 0.781214 | − | 0.617452i | ||||
\(105\) | 2.72113 | + | 0.541267i | 0.265556 | + | 0.0528223i | ||||
\(106\) | 10.6742 | − | 2.42003i | 1.03677 | − | 0.235054i | ||||
\(107\) | −5.70433 | − | 10.6721i | −0.551459 | − | 1.03171i | −0.991048 | − | 0.133508i | \(-0.957376\pi\) |
0.439589 | − | 0.898199i | \(-0.355124\pi\) | |||||||
\(108\) | −1.81148 | − | 0.847673i | −0.174310 | − | 0.0815673i | ||||
\(109\) | −1.01846 | + | 10.3406i | −0.0975512 | + | 0.990454i | 0.814441 | + | 0.580246i | \(0.197044\pi\) |
−0.911992 | + | 0.410208i | \(0.865456\pi\) | |||||||
\(110\) | −2.32774 | − | 1.16570i | −0.221942 | − | 0.111145i | ||||
\(111\) | −2.47403 | − | 1.02478i | −0.234825 | − | 0.0972676i | ||||
\(112\) | −1.86563 | + | 20.6836i | −0.176285 | + | 1.95441i | ||||
\(113\) | 0.255573 | − | 0.105862i | 0.0240422 | − | 0.00995862i | −0.370630 | − | 0.928781i | \(-0.620858\pi\) |
0.394672 | + | 0.918822i | \(0.370858\pi\) | |||||||
\(114\) | −3.16875 | − | 0.227195i | −0.296781 | − | 0.0212788i | ||||
\(115\) | 2.31953 | − | 1.90359i | 0.216297 | − | 0.177510i | ||||
\(116\) | 12.8157 | + | 3.15424i | 1.18991 | + | 0.292864i | ||||
\(117\) | 3.43568 | + | 1.04220i | 0.317629 | + | 0.0963516i | ||||
\(118\) | 2.41607 | − | 14.0961i | 0.222418 | − | 1.29765i | ||||
\(119\) | 14.4649 | + | 21.6482i | 1.32599 | + | 1.98449i | ||||
\(120\) | −1.40680 | + | 0.552650i | −0.128423 | + | 0.0504498i | ||||
\(121\) | 0.720423 | + | 0.481371i | 0.0654930 | + | 0.0437610i | ||||
\(122\) | −16.1082 | + | 0.428558i | −1.45837 | + | 0.0387998i | ||||
\(123\) | −1.58013 | + | 1.92539i | −0.142475 | + | 0.173607i | ||||
\(124\) | 4.86859 | + | 19.1031i | 0.437213 | + | 1.71551i | ||||
\(125\) | −4.57824 | − | 2.44712i | −0.409491 | − | 0.218877i | ||||
\(126\) | −6.38110 | + | 3.63219i | −0.568474 | + | 0.323581i | ||||
\(127\) | 5.14857 | 0.456862 | 0.228431 | − | 0.973560i | \(-0.426640\pi\) | ||||
0.228431 | + | 0.973560i | \(0.426640\pi\) | |||||||
\(128\) | −5.23160 | − | 10.0315i | −0.462413 | − | 0.886665i | ||||
\(129\) | −6.41056 | −0.564419 | ||||||||
\(130\) | 2.35803 | − | 1.34222i | 0.206813 | − | 0.117720i | ||||
\(131\) | 0.127636 | + | 0.0682228i | 0.0111516 | + | 0.00596065i | 0.476963 | − | 0.878923i | \(-0.341738\pi\) |
−0.465812 | + | 0.884884i | \(0.654238\pi\) | |||||||
\(132\) | 6.67613 | − | 1.70147i | 0.581083 | − | 0.148094i | ||||
\(133\) | −7.39895 | + | 9.01565i | −0.641570 | + | 0.781756i | ||||
\(134\) | −6.36499 | + | 0.169340i | −0.549852 | + | 0.0146287i | ||||
\(135\) | −0.444322 | − | 0.296886i | −0.0382411 | − | 0.0255519i | ||||
\(136\) | −13.0023 | − | 5.66787i | −1.11494 | − | 0.486015i | ||||
\(137\) | 0.435981 | + | 0.652491i | 0.0372484 | + | 0.0557461i | 0.849626 | − | 0.527385i | \(-0.176827\pi\) |
−0.812378 | + | 0.583131i | \(0.801827\pi\) | |||||||
\(138\) | −1.34153 | + | 7.82690i | −0.114199 | + | 0.666270i | ||||
\(139\) | −5.26946 | − | 1.59847i | −0.446950 | − | 0.135581i | 0.0587833 | − | 0.998271i | \(-0.481278\pi\) |
−0.505733 | + | 0.862690i | \(0.668778\pi\) | |||||||
\(140\) | −1.32614 | + | 5.38809i | −0.112079 | + | 0.455377i | ||||
\(141\) | −4.44580 | + | 3.64858i | −0.374404 | + | 0.307266i | ||||
\(142\) | −4.52855 | − | 0.324691i | −0.380027 | − | 0.0272474i | ||||
\(143\) | −11.4262 | + | 4.73290i | −0.955510 | + | 0.395785i | ||||
\(144\) | 1.85653 | − | 3.54306i | 0.154711 | − | 0.295255i | ||||
\(145\) | 3.25799 | + | 1.34950i | 0.270561 | + | 0.112070i | ||||
\(146\) | −1.46586 | − | 0.734079i | −0.121315 | − | 0.0607528i | ||||
\(147\) | −1.95599 | + | 19.8595i | −0.161328 | + | 1.63799i | ||||
\(148\) | 2.26996 | − | 4.85091i | 0.186590 | − | 0.398742i | ||||
\(149\) | −8.34001 | − | 15.6031i | −0.683240 | − | 1.27825i | −0.949323 | − | 0.314302i | \(-0.898229\pi\) |
0.266083 | − | 0.963950i | \(-0.414271\pi\) | |||||||
\(150\) | 6.50221 | − | 1.47416i | 0.530903 | − | 0.120365i | ||||
\(151\) | 6.15257 | + | 1.22382i | 0.500689 | + | 0.0995932i | 0.438972 | − | 0.898501i | \(-0.355343\pi\) |
0.0617163 | + | 0.998094i | \(0.480343\pi\) | |||||||
\(152\) | 0.738881 | − | 6.31067i | 0.0599311 | − | 0.511863i | ||||
\(153\) | −0.978334 | − | 4.91842i | −0.0790936 | − | 0.397630i | ||||
\(154\) | 9.05431 | − | 23.6168i | 0.729617 | − | 1.90310i | ||||
\(155\) | 0.516288 | + | 5.24196i | 0.0414692 | + | 0.421044i | ||||
\(156\) | −2.39125 | + | 6.77069i | −0.191453 | + | 0.542089i | ||||
\(157\) | 0.916763 | + | 3.02216i | 0.0731657 | + | 0.241195i | 0.985894 | − | 0.167373i | \(-0.0535284\pi\) |
−0.912728 | + | 0.408568i | \(0.866028\pi\) | |||||||
\(158\) | −8.64283 | + | 11.1218i | −0.687587 | + | 0.884804i | ||||
\(159\) | −5.47257 | + | 5.47257i | −0.434003 | + | 0.434003i | ||||
\(160\) | −0.977675 | − | 2.86045i | −0.0772920 | − | 0.226139i | ||||
\(161\) | 20.6145 | + | 20.6145i | 1.62465 | + | 1.62465i | ||||
\(162\) | 1.40322 | − | 0.175999i | 0.110247 | − | 0.0138278i | ||||
\(163\) | 5.01597 | − | 1.52158i | 0.392881 | − | 0.119179i | −0.0876619 | − | 0.996150i | \(-0.527940\pi\) |
0.480543 | + | 0.876971i | \(0.340440\pi\) | |||||||
\(164\) | −3.70480 | − | 3.33020i | −0.289296 | − | 0.260045i | ||||
\(165\) | 1.83196 | − | 0.180432i | 0.142618 | − | 0.0140466i | ||||
\(166\) | 6.04877 | + | 13.5705i | 0.469476 | + | 1.05327i | ||||
\(167\) | 8.40668 | − | 1.67219i | 0.650529 | − | 0.129398i | 0.141215 | − | 0.989979i | \(-0.454899\pi\) |
0.509314 | + | 0.860581i | \(0.329899\pi\) | |||||||
\(168\) | −6.68321 | − | 13.0759i | −0.515621 | − | 1.00883i | ||||
\(169\) | −0.0214470 | + | 0.107821i | −0.00164977 | + | 0.00829396i | ||||
\(170\) | −3.20600 | − | 2.02096i | −0.245889 | − | 0.155000i | ||||
\(171\) | 1.98115 | − | 1.05895i | 0.151502 | − | 0.0809796i | ||||
\(172\) | 0.576469 | − | 12.8082i | 0.0439553 | − | 0.976613i | ||||
\(173\) | −11.8558 | − | 1.16769i | −0.901380 | − | 0.0887781i | −0.363300 | − | 0.931672i | \(-0.618350\pi\) |
−0.538080 | + | 0.842894i | \(0.680850\pi\) | |||||||
\(174\) | −8.85543 | + | 2.94563i | −0.671328 | + | 0.223308i | ||||
\(175\) | 9.36686 | − | 22.6136i | 0.708068 | − | 1.70943i | ||||
\(176\) | 2.79916 | + | 13.4918i | 0.210994 | + | 1.01698i | ||||
\(177\) | 3.86999 | + | 9.34299i | 0.290887 | + | 0.702262i | ||||
\(178\) | −13.5994 | − | 15.7001i | −1.01932 | − | 1.17677i | ||||
\(179\) | −9.42567 | − | 11.4852i | −0.704508 | − | 0.858445i | 0.290641 | − | 0.956832i | \(-0.406132\pi\) |
−0.995148 | + | 0.0983872i | \(0.968632\pi\) | |||||||
\(180\) | 0.633128 | − | 0.861048i | 0.0471906 | − | 0.0641787i | ||||
\(181\) | −3.64165 | + | 12.0049i | −0.270681 | + | 0.892317i | 0.711227 | + | 0.702962i | \(0.248140\pi\) |
−0.981909 | + | 0.189355i | \(0.939360\pi\) | |||||||
\(182\) | 15.2233 | + | 21.5214i | 1.12843 | + | 1.59527i | ||||
\(183\) | 9.47399 | − | 6.33032i | 0.700338 | − | 0.467951i | ||||
\(184\) | −15.5173 | − | 3.38419i | −1.14395 | − | 0.249486i | ||||
\(185\) | 0.795024 | − | 1.18984i | 0.0584513 | − | 0.0874786i | ||||
\(186\) | −10.1155 | − | 9.59122i | −0.741706 | − | 0.703263i | ||||
\(187\) | 13.3536 | + | 10.9590i | 0.976509 | + | 0.801400i | ||||
\(188\) | −6.88998 | − | 9.21071i | −0.502504 | − | 0.671760i | ||||
\(189\) | 2.44744 | − | 4.57883i | 0.178025 | − | 0.333061i | ||||
\(190\) | 0.449427 | − | 1.63710i | 0.0326049 | − | 0.118768i | ||||
\(191\) | − | 9.27629i | − | 0.671209i | −0.942003 | − | 0.335604i | \(-0.891059\pi\) | ||
0.942003 | − | 0.335604i | \(-0.108941\pi\) | |||||||
\(192\) | 6.91201 | + | 4.02791i | 0.498832 | + | 0.290689i | ||||
\(193\) | 4.64540i | 0.334383i | 0.985924 | + | 0.167192i | \(0.0534698\pi\) | ||||
−0.985924 | + | 0.167192i | \(0.946530\pi\) | |||||||
\(194\) | −18.7969 | − | 5.16023i | −1.34954 | − | 0.370483i | ||||
\(195\) | −0.904410 | + | 1.69203i | −0.0647662 | + | 0.121169i | ||||
\(196\) | −39.5030 | − | 5.69389i | −2.82164 | − | 0.406707i | ||||
\(197\) | −8.13297 | − | 6.67455i | −0.579450 | − | 0.475542i | 0.298424 | − | 0.954433i | \(-0.403539\pi\) |
−0.877874 | + | 0.478891i | \(0.841039\pi\) | |||||||
\(198\) | −3.35194 | + | 3.53517i | −0.238212 | + | 0.251233i | ||||
\(199\) | −12.7702 | + | 19.1120i | −0.905257 | + | 1.35481i | 0.0295149 | + | 0.999564i | \(0.490604\pi\) |
−0.934772 | + | 0.355249i | \(0.884396\pi\) | |||||||
\(200\) | 2.36063 | + | 13.1238i | 0.166922 | + | 0.927994i | ||||
\(201\) | 3.74354 | − | 2.50136i | 0.264049 | − | 0.176432i | ||||
\(202\) | −1.42195 | + | 1.00583i | −0.100048 | + | 0.0707700i | ||||
\(203\) | −9.94561 | + | 32.7863i | −0.698045 | + | 2.30114i | ||||
\(204\) | 9.91486 | − | 1.51240i | 0.694179 | − | 0.105889i | ||||
\(205\) | −0.844392 | − | 1.02889i | −0.0589749 | − | 0.0718611i | ||||
\(206\) | −0.473591 | + | 0.410223i | −0.0329967 | + | 0.0285816i | ||||
\(207\) | −2.14883 | − | 5.18773i | −0.149354 | − | 0.360572i | ||||
\(208\) | −13.3126 | − | 5.38651i | −0.923066 | − | 0.373487i | ||||
\(209\) | −2.96133 | + | 7.14928i | −0.204840 | + | 0.494526i | ||||
\(210\) | −1.23843 | − | 3.72309i | −0.0854600 | − | 0.256917i | ||||
\(211\) | −5.20379 | − | 0.512529i | −0.358244 | − | 0.0352839i | −0.0827055 | − | 0.996574i | \(-0.526356\pi\) |
−0.275538 | + | 0.961290i | \(0.588856\pi\) | |||||||
\(212\) | −10.4419 | − | 11.4262i | −0.717156 | − | 0.784754i | ||||
\(213\) | 2.83131 | − | 1.51337i | 0.193998 | − | 0.103694i | ||||
\(214\) | −9.12584 | + | 14.4770i | −0.623829 | + | 0.989628i | ||||
\(215\) | 0.668318 | − | 3.35986i | 0.0455789 | − | 0.229141i | ||||
\(216\) | 0.225457 | + | 2.81943i | 0.0153404 | + | 0.191838i | ||||
\(217\) | −50.1923 | + | 9.98387i | −3.40728 | + | 0.677749i | ||||
\(218\) | 13.4217 | − | 5.98247i | 0.909033 | − | 0.405184i | ||||
\(219\) | 1.15364 | − | 0.113624i | 0.0779560 | − | 0.00767800i | ||||
\(220\) | 0.195761 | + | 3.67644i | 0.0131982 | + | 0.247865i | ||||
\(221\) | −17.2292 | + | 5.22641i | −1.15896 | + | 0.351566i | ||||
\(222\) | 0.471302 | + | 3.75764i | 0.0316317 | + | 0.252196i | ||||
\(223\) | −10.2301 | − | 10.2301i | −0.685060 | − | 0.685060i | 0.276076 | − | 0.961136i | \(-0.410966\pi\) |
−0.961136 | + | 0.276076i | \(0.910966\pi\) | |||||||
\(224\) | 26.7264 | − | 12.1771i | 1.78573 | − | 0.813614i | ||||
\(225\) | −3.33361 | + | 3.33361i | −0.222241 | + | 0.222241i | ||||
\(226\) | −0.308906 | − | 0.240053i | −0.0205481 | − | 0.0159681i | ||||
\(227\) | 4.48007 | + | 14.7688i | 0.297353 | + | 0.980240i | 0.970575 | + | 0.240800i | \(0.0774098\pi\) |
−0.673222 | + | 0.739440i | \(0.735090\pi\) | |||||||
\(228\) | 1.93759 | + | 4.05351i | 0.128320 | + | 0.268450i | ||||
\(229\) | −2.56408 | − | 26.0335i | −0.169439 | − | 1.72034i | −0.585217 | − | 0.810877i | \(-0.698991\pi\) |
0.415778 | − | 0.909466i | \(-0.363509\pi\) | |||||||
\(230\) | −3.96233 | − | 1.51909i | −0.261268 | − | 0.100166i | ||||
\(231\) | 3.48916 | + | 17.5412i | 0.229570 | + | 1.15413i | ||||
\(232\) | −5.08899 | − | 17.9578i | −0.334108 | − | 1.17899i | ||||
\(233\) | 9.11155 | + | 1.81240i | 0.596918 | + | 0.118734i | 0.484297 | − | 0.874904i | \(-0.339075\pi\) |
0.112621 | + | 0.993638i | \(0.464075\pi\) | |||||||
\(234\) | −1.12265 | − | 4.95175i | −0.0733896 | − | 0.323706i | ||||
\(235\) | −1.44878 | − | 2.71048i | −0.0945081 | − | 0.176812i | ||||
\(236\) | −19.0151 | + | 6.89199i | −1.23778 | + | 0.448631i | ||||
\(237\) | 0.976226 | − | 9.91179i | 0.0634127 | − | 0.643840i | ||||
\(238\) | 16.4873 | − | 32.9230i | 1.06872 | − | 2.13408i | ||||
\(239\) | 15.3473 | + | 6.35707i | 0.992735 | + | 0.411204i | 0.819128 | − | 0.573611i | \(-0.194458\pi\) |
0.173607 | + | 0.984815i | \(0.444458\pi\) | |||||||
\(240\) | 1.66342 | + | 1.34240i | 0.107373 | + | 0.0866519i | ||||
\(241\) | 2.51660 | − | 1.04241i | 0.162108 | − | 0.0671474i | −0.300154 | − | 0.953891i | \(-0.597038\pi\) |
0.462262 | + | 0.886743i | \(0.347038\pi\) | |||||||
\(242\) | 0.0876301 | − | 1.22220i | 0.00563308 | − | 0.0785660i | ||||
\(243\) | −0.773010 | + | 0.634393i | −0.0495886 | + | 0.0406963i | ||||
\(244\) | 11.7959 | + | 19.4981i | 0.755154 | + | 1.24824i | ||||
\(245\) | −10.2047 | − | 3.09557i | −0.651956 | − | 0.197769i | ||||
\(246\) | 3.47185 | + | 0.595077i | 0.221357 | + | 0.0379407i | ||||
\(247\) | −4.48078 | − | 6.70596i | −0.285105 | − | 0.426690i | ||||
\(248\) | 20.0727 | − | 19.3481i | 1.27462 | − | 1.22860i | ||||
\(249\) | −8.73529 | − | 5.83673i | −0.553576 | − | 0.369888i | ||||
\(250\) | 0.195250 | + | 7.33889i | 0.0123487 | + | 0.464152i | ||||
\(251\) | 14.6799 | − | 17.8875i | 0.926588 | − | 1.12905i | −0.0647750 | − | 0.997900i | \(-0.520633\pi\) |
0.991363 | − | 0.131150i | \(-0.0418670\pi\) | |||||||
\(252\) | 8.92831 | + | 5.30167i | 0.562431 | + | 0.333974i | ||||
\(253\) | 17.0590 | + | 9.11820i | 1.07249 | + | 0.573257i | ||||
\(254\) | −3.60189 | − | 6.32788i | −0.226003 | − | 0.397046i | ||||
\(255\) | 2.67980 | 0.167816 | ||||||||
\(256\) | −8.66923 | + | 13.4478i | −0.541827 | + | 0.840490i | ||||
\(257\) | −1.33845 | −0.0834901 | −0.0417451 | − | 0.999128i | \(-0.513292\pi\) | ||||
−0.0417451 | + | 0.999128i | \(0.513292\pi\) | |||||||
\(258\) | 4.48477 | + | 7.87893i | 0.279209 | + | 0.490520i | ||||
\(259\) | 12.2615 | + | 6.55392i | 0.761894 | + | 0.407241i | ||||
\(260\) | −3.29931 | − | 1.95915i | −0.204615 | − | 0.121501i | ||||
\(261\) | 4.18640 | − | 5.10115i | 0.259132 | − | 0.315753i | ||||
\(262\) | −0.00544334 | − | 0.204599i | −0.000336290 | − | 0.0126402i | ||||
\(263\) | 22.4082 | + | 14.9727i | 1.38175 | + | 0.923253i | 0.999999 | − | 0.00101382i | \(-0.000322709\pi\) |
0.381747 | + | 0.924267i | \(0.375323\pi\) | |||||||
\(264\) | −6.76176 | − | 7.01499i | −0.416158 | − | 0.431743i | ||||
\(265\) | −2.29772 | − | 3.43878i | −0.141148 | − | 0.211242i | ||||
\(266\) | 16.2570 | + | 2.78645i | 0.996778 | + | 0.170848i | ||||
\(267\) | 14.0549 | + | 4.26352i | 0.860148 | + | 0.260923i | ||||
\(268\) | 4.66102 | + | 7.70445i | 0.284717 | + | 0.470624i | ||||
\(269\) | 10.0918 | − | 8.28215i | 0.615309 | − | 0.504971i | −0.274330 | − | 0.961636i | \(-0.588456\pi\) |
0.889639 | + | 0.456664i | \(0.150956\pi\) | |||||||
\(270\) | −0.0540461 | + | 0.753795i | −0.00328914 | + | 0.0458745i | ||||
\(271\) | −7.75338 | + | 3.21156i | −0.470984 | + | 0.195088i | −0.605535 | − | 0.795819i | \(-0.707041\pi\) |
0.134551 | + | 0.990907i | \(0.457041\pi\) | |||||||
\(272\) | 2.13015 | + | 19.9457i | 0.129159 | + | 1.20938i | ||||
\(273\) | −17.2214 | − | 7.13332i | −1.04228 | − | 0.431728i | ||||
\(274\) | 0.496939 | − | 0.992321i | 0.0300212 | − | 0.0599483i | ||||
\(275\) | 1.59181 | − | 16.1620i | 0.0959900 | − | 0.974602i | ||||
\(276\) | 10.5582 | − | 3.82681i | 0.635529 | − | 0.230347i | ||||
\(277\) | −9.58154 | − | 17.9258i | −0.575699 | − | 1.07706i | −0.986256 | − | 0.165222i | \(-0.947166\pi\) |
0.410557 | − | 0.911835i | \(-0.365334\pi\) | |||||||
\(278\) | 1.72185 | + | 7.59473i | 0.103270 | + | 0.455501i | ||||
\(279\) | 9.66746 | + | 1.92298i | 0.578776 | + | 0.115126i | ||||
\(280\) | 7.55001 | − | 2.13956i | 0.451199 | − | 0.127863i | ||||
\(281\) | −0.466355 | − | 2.34453i | −0.0278204 | − | 0.139863i | 0.964379 | − | 0.264525i | \(-0.0852152\pi\) |
−0.992199 | + | 0.124662i | \(0.960215\pi\) | |||||||
\(282\) | 7.59454 | + | 2.91162i | 0.452248 | + | 0.173385i | ||||
\(283\) | −1.43408 | − | 14.5604i | −0.0852471 | − | 0.865528i | −0.938786 | − | 0.344500i | \(-0.888049\pi\) |
0.853539 | − | 0.521029i | \(-0.174451\pi\) | |||||||
\(284\) | 2.76907 | + | 5.79298i | 0.164314 | + | 0.343750i | ||||
\(285\) | 0.348468 | + | 1.14874i | 0.0206414 | + | 0.0680457i | ||||
\(286\) | 13.8107 | + | 10.7324i | 0.816642 | + | 0.634618i | ||||
\(287\) | 9.14416 | − | 9.14416i | 0.539762 | − | 0.539762i | ||||
\(288\) | −5.65343 | + | 0.196922i | −0.333131 | + | 0.0116037i | ||||
\(289\) | 5.76148 | + | 5.76148i | 0.338911 | + | 0.338911i | ||||
\(290\) | −0.620645 | − | 4.94834i | −0.0364455 | − | 0.290576i | ||||
\(291\) | 13.1897 | − | 4.00104i | 0.773191 | − | 0.234545i | ||||
\(292\) | 0.123277 | + | 2.31517i | 0.00721424 | + | 0.135485i | ||||
\(293\) | −16.4903 | + | 1.62415i | −0.963373 | + | 0.0948840i | −0.567457 | − | 0.823403i | \(-0.692073\pi\) |
−0.395916 | + | 0.918287i | \(0.629573\pi\) | |||||||
\(294\) | 25.7768 | − | 11.4895i | 1.50333 | − | 0.670082i | ||||
\(295\) | −5.30025 | + | 1.05428i | −0.308592 | + | 0.0613828i | ||||
\(296\) | −7.55007 | + | 0.603746i | −0.438839 | + | 0.0350920i | ||||
\(297\) | 0.672041 | − | 3.37858i | 0.0389958 | − | 0.196045i | ||||
\(298\) | −13.3424 | + | 21.1661i | −0.772905 | + | 1.22612i | ||||
\(299\) | −17.7795 | + | 9.50335i | −1.02822 | + | 0.549593i | ||||
\(300\) | −6.36070 | − | 6.96025i | −0.367235 | − | 0.401850i | ||||
\(301\) | 33.1226 | + | 3.26229i | 1.90916 | + | 0.188035i | ||||
\(302\) | −2.80013 | − | 8.41801i | −0.161130 | − | 0.484402i | ||||
\(303\) | 0.471311 | − | 1.13784i | 0.0270761 | − | 0.0653674i | ||||
\(304\) | −8.27306 | + | 3.50676i | −0.474493 | + | 0.201126i | ||||
\(305\) | 2.33012 | + | 5.62540i | 0.133422 | + | 0.322109i | ||||
\(306\) | −5.36057 | + | 4.64330i | −0.306443 | + | 0.265440i | ||||
\(307\) | 0.0516129 | + | 0.0628905i | 0.00294570 | + | 0.00358935i | 0.774481 | − | 0.632597i | \(-0.218011\pi\) |
−0.771536 | + | 0.636186i | \(0.780511\pi\) | |||||||
\(308\) | −35.3606 | + | 5.39387i | −2.01486 | + | 0.307344i | ||||
\(309\) | 0.128608 | − | 0.423964i | 0.00731626 | − | 0.0241185i | ||||
\(310\) | 6.08146 | − | 4.30177i | 0.345404 | − | 0.244324i | ||||
\(311\) | −6.83253 | + | 4.56535i | −0.387437 | + | 0.258877i | −0.734000 | − | 0.679149i | \(-0.762349\pi\) |
0.346563 | + | 0.938027i | \(0.387349\pi\) | |||||||
\(312\) | 9.99443 | − | 1.79774i | 0.565823 | − | 0.101777i | ||||
\(313\) | 12.2876 | − | 18.3897i | 0.694535 | − | 1.03945i | −0.301755 | − | 0.953386i | \(-0.597572\pi\) |
0.996290 | − | 0.0860601i | \(-0.0274277\pi\) | |||||||
\(314\) | 3.07304 | − | 3.24103i | 0.173422 | − | 0.182902i | ||||
\(315\) | 2.14467 | + | 1.76009i | 0.120839 | + | 0.0991698i | ||||
\(316\) | 19.7157 | + | 2.84179i | 1.10910 | + | 0.159863i | ||||
\(317\) | 4.79556 | − | 8.97186i | 0.269345 | − | 0.503910i | −0.710492 | − | 0.703705i | \(-0.751528\pi\) |
0.979838 | + | 0.199795i | \(0.0640277\pi\) | |||||||
\(318\) | 10.5546 | + | 2.89753i | 0.591875 | + | 0.162485i | ||||
\(319\) | 22.7323i | 1.27276i | ||||||||
\(320\) | −2.83168 | + | 3.20276i | −0.158296 | + | 0.179040i | ||||
\(321\) | − | 12.1009i | − | 0.675408i | ||||||
\(322\) | 10.9146 | − | 39.7580i | 0.608247 | − | 2.21562i | ||||
\(323\) | −5.31037 | + | 9.93501i | −0.295477 | + | 0.552799i | ||||
\(324\) | −1.19799 | − | 1.60151i | −0.0665550 | − | 0.0889725i | ||||
\(325\) | 13.0841 | + | 10.7378i | 0.725773 | + | 0.595627i | ||||
\(326\) | −5.37923 | − | 5.10042i | −0.297928 | − | 0.282486i | ||||
\(327\) | −5.77275 | + | 8.63953i | −0.319234 | + | 0.477767i | ||||
\(328\) | −1.50116 | + | 6.88317i | −0.0828875 | + | 0.380060i | ||||
\(329\) | 24.8277 | − | 16.5893i | 1.36879 | − | 0.914598i | ||||
\(330\) | −1.50338 | − | 2.12535i | −0.0827584 | − | 0.116996i | ||||
\(331\) | 2.61642 | − | 8.62519i | 0.143812 | − | 0.474083i | −0.855211 | − | 0.518280i | \(-0.826573\pi\) |
0.999023 | + | 0.0441962i | \(0.0140727\pi\) | |||||||
\(332\) | 12.4472 | − | 16.9280i | 0.683128 | − | 0.929047i | ||||
\(333\) | −1.69882 | − | 2.07002i | −0.0930950 | − | 0.113437i | ||||
\(334\) | −7.93645 | − | 9.16242i | −0.434263 | − | 0.501345i | ||||
\(335\) | 0.920720 | + | 2.22282i | 0.0503043 | + | 0.121445i | ||||
\(336\) | −11.3955 | + | 17.3618i | −0.621675 | + | 0.947165i | ||||
\(337\) | −6.99118 | + | 16.8782i | −0.380834 | + | 0.919415i | 0.610971 | + | 0.791653i | \(0.290779\pi\) |
−0.991805 | + | 0.127762i | \(0.959221\pi\) | |||||||
\(338\) | 0.147523 | − | 0.0490713i | 0.00802417 | − | 0.00266913i | ||||
\(339\) | 0.275298 | + | 0.0271145i | 0.0149521 | + | 0.00147266i | ||||
\(340\) | −0.240981 | + | 5.35419i | −0.0130690 | + | 0.290371i | ||||
\(341\) | −29.9453 | + | 16.0061i | −1.62163 | + | 0.866779i | ||||
\(342\) | −2.68749 | − | 1.69411i | −0.145323 | − | 0.0916069i | ||||
\(343\) | 13.1226 | − | 65.9716i | 0.708552 | − | 3.56213i | ||||
\(344\) | −16.1452 | + | 8.25195i | −0.870491 | + | 0.444915i | ||||
\(345\) | 2.94298 | − | 0.585396i | 0.158445 | − | 0.0315166i | ||||
\(346\) | 6.85904 | + | 15.3883i | 0.368744 | + | 0.827281i | ||||
\(347\) | −5.78519 | + | 0.569792i | −0.310565 | + | 0.0305880i | −0.252099 | − | 0.967701i | \(-0.581121\pi\) |
−0.0584661 | + | 0.998289i | \(0.518621\pi\) | |||||||
\(348\) | 9.81551 | + | 8.82306i | 0.526167 | + | 0.472966i | ||||
\(349\) | −9.61343 | + | 2.91620i | −0.514595 | + | 0.156101i | −0.536892 | − | 0.843651i | \(-0.680402\pi\) |
0.0222975 | + | 0.999751i | \(0.492902\pi\) | |||||||
\(350\) | −34.3463 | + | 4.30788i | −1.83589 | + | 0.230266i | ||||
\(351\) | 2.53871 | + | 2.53871i | 0.135506 | + | 0.135506i | ||||
\(352\) | 14.6238 | − | 12.8790i | 0.779454 | − | 0.686454i | ||||
\(353\) | 7.33143 | − | 7.33143i | 0.390213 | − | 0.390213i | −0.484551 | − | 0.874763i | \(-0.661017\pi\) |
0.874763 | + | 0.484551i | \(0.161017\pi\) | |||||||
\(354\) | 8.77563 | − | 11.2927i | 0.466419 | − | 0.600200i | ||||
\(355\) | 0.498004 | + | 1.64170i | 0.0264313 | + | 0.0871323i | ||||
\(356\) | −9.78229 | + | 27.6980i | −0.518461 | + | 1.46799i | ||||
\(357\) | 2.55199 | + | 25.9107i | 0.135065 | + | 1.37134i | ||||
\(358\) | −7.52184 | + | 19.6196i | −0.397541 | + | 1.03693i | ||||
\(359\) | 5.59337 | + | 28.1198i | 0.295207 | + | 1.48411i | 0.788928 | + | 0.614485i | \(0.210636\pi\) |
−0.493721 | + | 0.869620i | \(0.664364\pi\) | |||||||
\(360\) | −1.50120 | − | 0.175768i | −0.0791204 | − | 0.00926377i | ||||
\(361\) | 13.6856 | + | 2.72223i | 0.720293 | + | 0.143275i | ||||
\(362\) | 17.3023 | − | 3.92273i | 0.909390 | − | 0.206174i | ||||
\(363\) | 0.408439 | + | 0.764136i | 0.0214375 | + | 0.0401067i | ||||
\(364\) | 15.8008 | − | 33.7664i | 0.828189 | − | 1.76984i | ||||
\(365\) | −0.0607186 | + | 0.616486i | −0.00317815 | + | 0.0322683i | ||||
\(366\) | −14.4082 | − | 7.21542i | −0.753130 | − | 0.377156i | ||||
\(367\) | −12.4662 | − | 5.16369i | −0.650733 | − | 0.269542i | 0.0328002 | − | 0.999462i | \(-0.489558\pi\) |
−0.683533 | + | 0.729920i | \(0.739558\pi\) | |||||||
\(368\) | 6.69643 | + | 21.4392i | 0.349076 | + | 1.11759i | ||||
\(369\) | −2.30117 | + | 0.953177i | −0.119794 | + | 0.0496204i | ||||
\(370\) | −2.01857 | − | 0.144728i | −0.104940 | − | 0.00752407i | ||||
\(371\) | 31.0611 | − | 25.4912i | 1.61261 | − | 1.32343i | ||||
\(372\) | −4.71141 | + | 19.1424i | −0.244275 | + | 0.992490i | ||||
\(373\) | −11.9542 | − | 3.62626i | −0.618963 | − | 0.187760i | −0.0347968 | − | 0.999394i | \(-0.511078\pi\) |
−0.584166 | + | 0.811634i | \(0.698578\pi\) | |||||||
\(374\) | 4.12716 | − | 24.0790i | 0.213410 | − | 1.24510i | ||||
\(375\) | −2.88408 | − | 4.31634i | −0.148933 | − | 0.222895i | ||||
\(376\) | −6.50029 | + | 14.9119i | −0.335227 | + | 0.769022i | ||||
\(377\) | −19.6996 | − | 13.1628i | −1.01458 | − | 0.677920i | ||||
\(378\) | −7.33983 | + | 0.195275i | −0.377520 | + | 0.0100439i | ||||
\(379\) | −19.9061 | + | 24.2556i | −1.02251 | + | 1.24593i | −0.0535829 | + | 0.998563i | \(0.517064\pi\) |
−0.968923 | + | 0.247363i | \(0.920436\pi\) | |||||||
\(380\) | −2.32650 | + | 0.592930i | −0.119347 | + | 0.0304167i | ||||
\(381\) | 4.54064 | + | 2.42702i | 0.232624 | + | 0.124340i | ||||
\(382\) | −11.4011 | + | 6.48960i | −0.583329 | + | 0.332037i | ||||
\(383\) | −15.6012 | −0.797185 | −0.398592 | − | 0.917128i | \(-0.630501\pi\) | ||||
−0.398592 | + | 0.917128i | \(0.630501\pi\) | |||||||
\(384\) | 0.114938 | − | 11.3131i | 0.00586540 | − | 0.577320i | ||||
\(385\) | −9.55733 | −0.487086 | ||||||||
\(386\) | 5.70944 | − | 3.24988i | 0.290603 | − | 0.165414i | ||||
\(387\) | −5.65361 | − | 3.02192i | −0.287389 | − | 0.153613i | ||||
\(388\) | 6.80790 | + | 26.7124i | 0.345619 | + | 1.35612i | ||||
\(389\) | 10.8779 | − | 13.2548i | 0.551532 | − | 0.672043i | −0.420391 | − | 0.907343i | \(-0.638107\pi\) |
0.971923 | + | 0.235300i | \(0.0756072\pi\) | |||||||
\(390\) | 2.71232 | − | 0.0721608i | 0.137343 | − | 0.00365401i | ||||
\(391\) | 23.4132 | + | 15.6442i | 1.18405 | + | 0.791160i | ||||
\(392\) | 20.6378 | + | 52.5347i | 1.04237 | + | 2.65340i | ||||
\(393\) | 0.0804047 | + | 0.120334i | 0.00405588 | + | 0.00607006i | ||||
\(394\) | −2.51364 | + | 14.6653i | −0.126635 | + | 0.738828i | ||||
\(395\) | 5.09313 | + | 1.54498i | 0.256263 | + | 0.0777366i | ||||
\(396\) | 6.68989 | + | 1.64654i | 0.336180 | + | 0.0827418i | ||||
\(397\) | −11.5638 | + | 9.49015i | −0.580370 | + | 0.476297i | −0.878182 | − | 0.478327i | \(-0.841243\pi\) |
0.297812 | + | 0.954625i | \(0.403743\pi\) | |||||||
\(398\) | 32.4236 | + | 2.32473i | 1.62525 | + | 0.116528i | ||||
\(399\) | −10.7752 | + | 4.46325i | −0.539437 | + | 0.223442i | ||||
\(400\) | 14.4784 | − | 12.0826i | 0.723920 | − | 0.604132i | ||||
\(401\) | −23.8700 | − | 9.88726i | −1.19201 | − | 0.493746i | −0.303600 | − | 0.952799i | \(-0.598189\pi\) |
−0.888409 | + | 0.459053i | \(0.848189\pi\) | |||||||
\(402\) | −5.69325 | − | 2.85109i | −0.283953 | − | 0.142200i | ||||
\(403\) | 3.46871 | − | 35.2184i | 0.172789 | − | 1.75435i | ||||
\(404\) | 2.23100 | + | 1.04399i | 0.110997 | + | 0.0519404i | ||||
\(405\) | −0.251906 | − | 0.471282i | −0.0125173 | − | 0.0234182i | ||||
\(406\) | 47.2539 | − | 10.7133i | 2.34517 | − | 0.531691i | ||||
\(407\) | 9.04741 | + | 1.79964i | 0.448463 | + | 0.0892049i | ||||
\(408\) | −8.79517 | − | 11.1278i | −0.435426 | − | 0.550910i | ||||
\(409\) | −1.39241 | − | 7.00012i | −0.0688502 | − | 0.346134i | 0.930970 | − | 0.365096i | \(-0.118964\pi\) |
−0.999820 | + | 0.0189622i | \(0.993964\pi\) | |||||||
\(410\) | −0.673838 | + | 1.75761i | −0.0332785 | + | 0.0868020i | ||||
\(411\) | 0.0769184 | + | 0.780966i | 0.00379411 | + | 0.0385222i | ||||
\(412\) | 0.835506 | + | 0.295081i | 0.0411624 | + | 0.0145376i | ||||
\(413\) | −15.2412 | − | 50.2435i | −0.749971 | − | 2.47232i | ||||
\(414\) | −4.87270 | + | 6.27032i | −0.239480 | + | 0.308169i | ||||
\(415\) | 3.96979 | − | 3.96979i | 0.194869 | − | 0.194869i | ||||
\(416\) | 2.69309 | + | 20.1303i | 0.132039 | + | 0.986970i | ||||
\(417\) | −3.89373 | − | 3.89373i | −0.190677 | − | 0.190677i | ||||
\(418\) | 10.8586 | − | 1.36194i | 0.531110 | − | 0.0666145i | ||||
\(419\) | 3.43685 | − | 1.04256i | 0.167901 | − | 0.0509322i | −0.205215 | − | 0.978717i | \(-0.565789\pi\) |
0.373116 | + | 0.927785i | \(0.378289\pi\) | |||||||
\(420\) | −3.70948 | + | 4.12674i | −0.181004 | + | 0.201364i | ||||
\(421\) | 23.1964 | − | 2.28464i | 1.13052 | − | 0.111347i | 0.484589 | − | 0.874742i | \(-0.338969\pi\) |
0.645932 | + | 0.763395i | \(0.276469\pi\) | |||||||
\(422\) | 3.01060 | + | 6.75430i | 0.146554 | + | 0.328794i | ||||
\(423\) | −5.64077 | + | 1.12202i | −0.274264 | + | 0.0545545i | ||||
\(424\) | −6.73831 | + | 20.8274i | −0.327241 | + | 1.01147i | ||||
\(425\) | 4.61229 | − | 23.1876i | 0.223729 | − | 1.12476i | ||||
\(426\) | −3.84076 | − | 2.42109i | −0.186086 | − | 0.117302i | ||||
\(427\) | −52.1724 | + | 27.8867i | −2.52480 | + | 1.34953i | ||||
\(428\) | 24.1774 | + | 1.08817i | 1.16866 | + | 0.0525988i | ||||
\(429\) | −12.3081 | − | 1.21224i | −0.594241 | − | 0.0585277i | ||||
\(430\) | −4.59700 | + | 1.52913i | −0.221687 | + | 0.0737411i | ||||
\(431\) | 8.25506 | − | 19.9295i | 0.397632 | − | 0.959969i | −0.590594 | − | 0.806969i | \(-0.701107\pi\) |
0.988226 | − | 0.153000i | \(-0.0488934\pi\) | |||||||
\(432\) | 3.30750 | − | 2.24954i | 0.159132 | − | 0.108231i | ||||
\(433\) | −10.5317 | − | 25.4257i | −0.506121 | − | 1.22188i | −0.946100 | − | 0.323875i | \(-0.895014\pi\) |
0.439979 | − | 0.898008i | \(-0.354986\pi\) | |||||||
\(434\) | 47.3848 | + | 54.7044i | 2.27454 | + | 2.62590i | ||||
\(435\) | 2.23714 | + | 2.72596i | 0.107262 | + | 0.130700i | ||||
\(436\) | −16.7425 | − | 12.3107i | −0.801819 | − | 0.589577i | ||||
\(437\) | −3.66162 | + | 12.0707i | −0.175159 | + | 0.577422i | ||||
\(438\) | −0.946728 | − | 1.33840i | −0.0452364 | − | 0.0639512i | ||||
\(439\) | −16.8457 | + | 11.2559i | −0.803999 | + | 0.537215i | −0.888321 | − | 0.459223i | \(-0.848128\pi\) |
0.0843215 | + | 0.996439i | \(0.473128\pi\) | |||||||
\(440\) | 4.38158 | − | 2.81260i | 0.208884 | − | 0.134085i | ||||
\(441\) | −11.0867 | + | 16.5925i | −0.527940 | + | 0.790119i | ||||
\(442\) | 18.4769 | + | 17.5192i | 0.878856 | + | 0.833304i | ||||
\(443\) | −17.8026 | − | 14.6102i | −0.845827 | − | 0.694152i | 0.108117 | − | 0.994138i | \(-0.465518\pi\) |
−0.953944 | + | 0.299986i | \(0.903018\pi\) | |||||||
\(444\) | 4.28863 | − | 3.20807i | 0.203529 | − | 0.152248i | ||||
\(445\) | −3.69983 | + | 6.92189i | −0.175389 | + | 0.328129i | ||||
\(446\) | −5.41648 | + | 19.7303i | −0.256478 | + | 0.934256i | ||||
\(447\) | − | 17.6921i | − | 0.836809i | ||||||
\(448\) | −33.6638 | − | 24.3292i | −1.59046 | − | 1.14945i | ||||
\(449\) | − | 11.0430i | − | 0.521152i | −0.965453 | − | 0.260576i | \(-0.916087\pi\) | ||
0.965453 | − | 0.260576i | \(-0.0839125\pi\) | |||||||
\(450\) | 6.42935 | + | 1.76502i | 0.303082 | + | 0.0832041i | ||||
\(451\) | 4.04465 | − | 7.56701i | 0.190455 | − | 0.356316i | ||||
\(452\) | −0.0789302 | + | 0.547600i | −0.00371256 | + | 0.0257570i | ||||
\(453\) | 4.84917 | + | 3.97961i | 0.227834 | + | 0.186979i | ||||
\(454\) | 15.0174 | − | 15.8384i | 0.704804 | − | 0.743331i | ||||
\(455\) | 5.53404 | − | 8.28228i | 0.259440 | − | 0.388279i | ||||
\(456\) | 3.62646 | − | 5.21721i | 0.169825 | − | 0.244318i | ||||
\(457\) | 11.7728 | − | 7.86634i | 0.550709 | − | 0.367972i | −0.248867 | − | 0.968538i | \(-0.580058\pi\) |
0.799575 | + | 0.600566i | \(0.205058\pi\) | |||||||
\(458\) | −30.2028 | + | 21.3642i | −1.41128 | + | 0.998283i | ||||
\(459\) | 1.45571 | − | 4.79884i | 0.0679468 | − | 0.223991i | ||||
\(460\) | 0.904960 | + | 5.93265i | 0.0421940 | + | 0.276611i | ||||
\(461\) | 4.70369 | + | 5.73147i | 0.219073 | + | 0.266941i | 0.870937 | − | 0.491395i | \(-0.163513\pi\) |
−0.651864 | + | 0.758336i | \(0.726013\pi\) | |||||||
\(462\) | 19.1181 | − | 16.5600i | 0.889453 | − | 0.770441i | ||||
\(463\) | 12.2279 | + | 29.5208i | 0.568279 | + | 1.37195i | 0.903005 | + | 0.429631i | \(0.141356\pi\) |
−0.334726 | + | 0.942315i | \(0.608644\pi\) | |||||||
\(464\) | −18.5109 | + | 18.8178i | −0.859348 | + | 0.873593i | ||||
\(465\) | −2.01572 | + | 4.86637i | −0.0934766 | + | 0.225673i | ||||
\(466\) | −4.14682 | − | 12.4665i | −0.192098 | − | 0.577501i | ||||
\(467\) | 19.4693 | + | 1.91755i | 0.900930 | + | 0.0887339i | 0.537866 | − | 0.843030i | \(-0.319231\pi\) |
0.363064 | + | 0.931764i | \(0.381731\pi\) | |||||||
\(468\) | −5.30057 | + | 4.84399i | −0.245019 | + | 0.223913i | ||||
\(469\) | −20.6154 | + | 11.0191i | −0.951929 | + | 0.508817i | ||||
\(470\) | −2.31777 | + | 3.67686i | −0.106911 | + | 0.169601i | ||||
\(471\) | −0.616125 | + | 3.09747i | −0.0283895 | + | 0.142724i | ||||
\(472\) | 21.7734 | + | 18.5490i | 1.00220 | + | 0.853787i | ||||
\(473\) | 21.6586 | − | 4.30816i | 0.995863 | − | 0.198090i | ||||
\(474\) | −12.8651 | + | 5.73436i | −0.590913 | + | 0.263388i | ||||
\(475\) | 10.5395 | − | 1.03805i | 0.483586 | − | 0.0476290i | ||||
\(476\) | −51.9986 | + | 2.76879i | −2.38335 | + | 0.126907i | ||||
\(477\) | −7.40613 | + | 2.24662i | −0.339103 | + | 0.102866i | ||||
\(478\) | −2.92366 | − | 23.3100i | −0.133725 | − | 1.06618i | ||||
\(479\) | 23.6608 | + | 23.6608i | 1.08109 | + | 1.08109i | 0.996408 | + | 0.0846799i | \(0.0269868\pi\) |
0.0846799 | + | 0.996408i | \(0.473013\pi\) | |||||||
\(480\) | 0.486175 | − | 2.98357i | 0.0221908 | − | 0.136181i | ||||
\(481\) | −6.79833 | + | 6.79833i | −0.309977 | + | 0.309977i | ||||
\(482\) | −3.04176 | − | 2.36377i | −0.138548 | − | 0.107667i | ||||
\(483\) | 8.46274 | + | 27.8979i | 0.385068 | + | 1.26940i | ||||
\(484\) | −1.56346 | + | 0.747338i | −0.0710662 | + | 0.0339699i | ||||
\(485\) | 0.721941 | + | 7.32999i | 0.0327817 | + | 0.332838i | ||||
\(486\) | 1.32049 | + | 0.506256i | 0.0598988 | + | 0.0229642i | ||||
\(487\) | −0.734123 | − | 3.69069i | −0.0332663 | − | 0.167241i | 0.960581 | − | 0.278000i | \(-0.0896717\pi\) |
−0.993847 | + | 0.110759i | \(0.964672\pi\) | |||||||
\(488\) | 15.7119 | − | 28.1384i | 0.711244 | − | 1.27377i | ||||
\(489\) | 5.14096 | + | 1.02260i | 0.232482 | + | 0.0462436i | ||||
\(490\) | 3.33451 | + | 14.7078i | 0.150638 | + | 0.664430i | ||||
\(491\) | −2.41253 | − | 4.51353i | −0.108876 | − | 0.203693i | 0.821583 | − | 0.570089i | \(-0.193091\pi\) |
−0.930459 | + | 0.366396i | \(0.880591\pi\) | |||||||
\(492\) | −1.69749 | − | 4.68341i | −0.0765289 | − | 0.211144i | ||||
\(493\) | −3.24366 | + | 32.9335i | −0.146087 | + | 1.48325i | ||||
\(494\) | −5.10727 | + | 10.1985i | −0.229787 | + | 0.458854i | ||||
\(495\) | 1.70070 | + | 0.704452i | 0.0764407 | + | 0.0316628i | ||||
\(496\) | −37.8225 | − | 11.1347i | −1.69828 | − | 0.499962i | ||||
\(497\) | −15.3992 | + | 6.37854i | −0.690747 | + | 0.286117i | ||||
\(498\) | −1.06254 | + | 14.8195i | −0.0476133 | + | 0.664076i | ||||
\(499\) | −2.34581 | + | 1.92516i | −0.105013 | + | 0.0861819i | −0.685435 | − | 0.728134i | \(-0.740388\pi\) |
0.580422 | + | 0.814316i | \(0.302888\pi\) | |||||||
\(500\) | 8.88330 | − | 5.37419i | 0.397273 | − | 0.240341i | ||||
\(501\) | 8.20230 | + | 2.48814i | 0.366452 | + | 0.111162i | ||||
\(502\) | −32.2546 | − | 5.52846i | −1.43960 | − | 0.246747i | ||||
\(503\) | −2.49809 | − | 3.73866i | −0.111385 | − | 0.166699i | 0.771589 | − | 0.636121i | \(-0.219462\pi\) |
−0.882974 | + | 0.469422i | \(0.844462\pi\) | |||||||
\(504\) | 0.269877 | − | 14.6824i | 0.0120213 | − | 0.654005i | ||||
\(505\) | 0.547224 | + | 0.365644i | 0.0243512 | + | 0.0162709i | ||||
\(506\) | −0.727520 | − | 27.3454i | −0.0323422 | − | 1.21565i | ||||
\(507\) | −0.0697413 | + | 0.0849800i | −0.00309732 | + | 0.00377409i | ||||
\(508\) | −5.25745 | + | 8.85384i | −0.233262 | + | 0.392826i | ||||
\(509\) | −21.5313 | − | 11.5087i | −0.954357 | − | 0.510114i | −0.0807432 | − | 0.996735i | \(-0.525729\pi\) |
−0.873613 | + | 0.486621i | \(0.838229\pi\) | |||||||
\(510\) | −1.87476 | − | 3.29362i | −0.0830160 | − | 0.145844i | ||||
\(511\) | −6.01856 | −0.266245 | ||||||||
\(512\) | 22.5930 | + | 1.24697i | 0.998480 | + | 0.0551090i | ||||
\(513\) | 2.24640 | 0.0991809 | ||||||||
\(514\) | 0.936366 | + | 1.64503i | 0.0413013 | + | 0.0725590i | ||||
\(515\) | 0.208798 | + | 0.111605i | 0.00920073 | + | 0.00491789i | ||||
\(516\) | 6.54612 | − | 11.0240i | 0.288177 | − | 0.485306i | ||||
\(517\) | 12.5685 | − | 15.3148i | 0.552762 | − | 0.673543i | ||||
\(518\) | −0.522922 | − | 19.6551i | −0.0229759 | − | 0.863597i | ||||
\(519\) | −9.90543 | − | 6.61860i | −0.434800 | − | 0.290524i | ||||
\(520\) | −0.0997289 | + | 5.42564i | −0.00437340 | + | 0.237930i | ||||
\(521\) | −16.1743 | − | 24.2066i | −0.708611 | − | 1.06051i | −0.994751 | − | 0.102323i | \(-0.967372\pi\) |
0.286140 | − | 0.958188i | \(-0.407628\pi\) | |||||||
\(522\) | −9.19835 | − | 1.57660i | −0.402601 | − | 0.0690060i | ||||
\(523\) | 38.6897 | + | 11.7364i | 1.69178 | + | 0.513197i | 0.981621 | − | 0.190840i | \(-0.0611211\pi\) |
0.710163 | + | 0.704037i | \(0.248621\pi\) | |||||||
\(524\) | −0.247655 | + | 0.149826i | −0.0108189 | + | 0.00654517i | ||||
\(525\) | 18.9208 | − | 15.5279i | 0.825772 | − | 0.677694i | ||||
\(526\) | 2.72566 | − | 38.0156i | 0.118845 | − | 1.65756i | ||||
\(527\) | −45.6673 | + | 18.9160i | −1.98930 | + | 0.823995i | ||||
\(528\) | −3.89134 | + | 13.2182i | −0.169349 | + | 0.575248i | ||||
\(529\) | 7.88074 | + | 3.26431i | 0.342641 | + | 0.141927i | ||||
\(530\) | −2.61898 | + | 5.22975i | −0.113761 | + | 0.227166i | ||||
\(531\) | −0.991226 | + | 10.0641i | −0.0430155 | + | 0.436744i | ||||
\(532\) | −7.94851 | − | 21.9300i | −0.344612 | − | 0.950788i | ||||
\(533\) | 4.21549 | + | 7.88663i | 0.182593 | + | 0.341608i | ||||
\(534\) | −4.59260 | − | 20.2570i | −0.198741 | − | 0.876605i | ||||
\(535\) | 6.34226 | + | 1.26155i | 0.274200 | + | 0.0545417i | ||||
\(536\) | 6.20838 | − | 11.1186i | 0.268161 | − | 0.480250i | ||||
\(537\) | −2.89861 | − | 14.5723i | −0.125084 | − | 0.628840i | ||||
\(538\) | −17.2393 | − | 6.60929i | −0.743241 | − | 0.284947i | ||||
\(539\) | −6.73795 | − | 68.4115i | −0.290224 | − | 2.94669i | ||||
\(540\) | 0.964264 | − | 0.460922i | 0.0414953 | − | 0.0198349i | ||||
\(541\) | −0.462326 | − | 1.52409i | −0.0198770 | − | 0.0655256i | 0.946441 | − | 0.322877i | \(-0.104650\pi\) |
−0.966318 | + | 0.257352i | \(0.917150\pi\) | |||||||
\(542\) | 9.37137 | + | 7.28255i | 0.402535 | + | 0.312812i | ||||
\(543\) | −8.87072 | + | 8.87072i | −0.380679 | + | 0.380679i | ||||
\(544\) | 23.0241 | − | 16.5719i | 0.987149 | − | 0.710513i | ||||
\(545\) | −3.92627 | − | 3.92627i | −0.168183 | − | 0.168183i | ||||
\(546\) | 3.28066 | + | 26.1564i | 0.140399 | + | 1.11939i | ||||
\(547\) | 36.3399 | − | 11.0236i | 1.55378 | − | 0.471335i | 0.607404 | − | 0.794393i | \(-0.292211\pi\) |
0.946379 | + | 0.323058i | \(0.104711\pi\) | |||||||
\(548\) | −1.56727 | + | 0.0834531i | −0.0669504 | + | 0.00356494i | ||||
\(549\) | 11.3394 | − | 1.11683i | 0.483954 | − | 0.0476653i | ||||
\(550\) | −20.9775 | + | 9.35032i | −0.894485 | + | 0.398699i | ||||
\(551\) | −14.5393 | + | 2.89205i | −0.619395 | + | 0.123205i | ||||
\(552\) | −12.0898 | − | 10.2994i | −0.514575 | − | 0.438372i | ||||
\(553\) | −10.0881 | + | 50.7162i | −0.428989 | + | 2.15667i | ||||
\(554\) | −15.3286 | + | 24.3170i | −0.651251 | + | 1.03313i | ||||
\(555\) | 1.26203 | − | 0.674571i | 0.0535704 | − | 0.0286340i | ||||
\(556\) | 8.12974 | − | 7.42945i | 0.344778 | − | 0.315079i | ||||
\(557\) | 35.2905 | + | 3.47581i | 1.49531 | + | 0.147275i | 0.812343 | − | 0.583179i | \(-0.198192\pi\) |
0.682962 | + | 0.730454i | \(0.260692\pi\) | |||||||
\(558\) | −4.39982 | − | 13.2271i | −0.186259 | − | 0.559949i | ||||
\(559\) | −8.80772 | + | 21.2637i | −0.372527 | + | 0.899359i | ||||
\(560\) | −7.91155 | − | 7.78255i | −0.334324 | − | 0.328873i | ||||
\(561\) | 6.61076 | + | 15.9598i | 0.279107 | + | 0.673823i | ||||
\(562\) | −2.55529 | + | 2.21338i | −0.107788 | + | 0.0933660i | ||||
\(563\) | −6.62427 | − | 8.07170i | −0.279180 | − | 0.340182i | 0.614475 | − | 0.788936i | \(-0.289368\pi\) |
−0.893655 | + | 0.448754i | \(0.851868\pi\) | |||||||
\(564\) | −1.73452 | − | 11.3710i | −0.0730367 | − | 0.478807i | ||||
\(565\) | −0.0429116 | + | 0.141461i | −0.00180530 | + | 0.00595129i | ||||
\(566\) | −16.8923 | + | 11.9489i | −0.710036 | + | 0.502250i | ||||
\(567\) | 4.31689 | − | 2.88445i | 0.181292 | − | 0.121136i | ||||
\(568\) | 5.18267 | − | 7.45604i | 0.217460 | − | 0.312849i | ||||
\(569\) | 7.65948 | − | 11.4632i | 0.321102 | − | 0.480563i | −0.635443 | − | 0.772148i | \(-0.719182\pi\) |
0.956545 | + | 0.291585i | \(0.0941825\pi\) | |||||||
\(570\) | 1.16808 | − | 1.23194i | 0.0489256 | − | 0.0516001i | ||||
\(571\) | 20.4555 | + | 16.7874i | 0.856035 | + | 0.702529i | 0.956286 | − | 0.292433i | \(-0.0944648\pi\) |
−0.100252 | + | 0.994962i | \(0.531965\pi\) | |||||||
\(572\) | 3.52884 | − | 24.4823i | 0.147548 | − | 1.02366i | ||||
\(573\) | 4.37281 | − | 8.18096i | 0.182677 | − | 0.341764i | ||||
\(574\) | −17.6358 | − | 4.84150i | −0.736105 | − | 0.202080i | ||||
\(575\) | − | 26.4723i | − | 1.10397i | ||||||
\(576\) | 4.19711 | + | 6.81060i | 0.174880 | + | 0.283775i | ||||
\(577\) | − | 3.89244i | − | 0.162044i | −0.996712 | − | 0.0810222i | \(-0.974182\pi\) | ||
0.996712 | − | 0.0810222i | \(-0.0258185\pi\) | |||||||
\(578\) | 3.05049 | − | 11.1119i | 0.126884 | − | 0.462192i | ||||
\(579\) | −2.18983 | + | 4.09688i | −0.0910060 | + | 0.170260i | ||||
\(580\) | −5.64758 | + | 4.22462i | −0.234503 | + | 0.175418i | ||||
\(581\) | 42.1639 | + | 34.6030i | 1.74925 | + | 1.43558i | ||||
\(582\) | −14.1448 | − | 13.4117i | −0.586323 | − | 0.555933i | ||||
\(583\) | 14.8117 | − | 22.1673i | 0.613439 | − | 0.918076i | ||||
\(584\) | 2.75923 | − | 1.77119i | 0.114178 | − | 0.0732922i | ||||
\(585\) | −1.59524 | + | 1.06590i | −0.0659550 | + | 0.0440697i | ||||
\(586\) | 13.5326 | + | 19.1312i | 0.559028 | + | 0.790304i | ||||
\(587\) | 10.5336 | − | 34.7247i | 0.434769 | − | 1.43324i | −0.416799 | − | 0.908999i | \(-0.636848\pi\) |
0.851568 | − | 0.524243i | \(-0.175652\pi\) | |||||||
\(588\) | −32.1544 | − | 23.6431i | −1.32603 | − | 0.975027i | ||||
\(589\) | −14.0470 | − | 17.1163i | −0.578797 | − | 0.705266i | ||||
\(590\) | 5.00377 | + | 5.77672i | 0.206002 | + | 0.237824i | ||||
\(591\) | −4.02627 | − | 9.72029i | −0.165619 | − | 0.399839i | ||||
\(592\) | 6.02399 | + | 8.85706i | 0.247584 | + | 0.364023i | ||||
\(593\) | −3.90213 | + | 9.42058i | −0.160241 | + | 0.386857i | −0.983525 | − | 0.180774i | \(-0.942140\pi\) |
0.823283 | + | 0.567631i | \(0.192140\pi\) | |||||||
\(594\) | −4.62261 | + | 1.53765i | −0.189668 | + | 0.0630904i | ||||
\(595\) | −13.8462 | − | 1.36373i | −0.567640 | − | 0.0559076i | ||||
\(596\) | 35.3485 | + | 1.59096i | 1.44793 | + | 0.0651683i | ||||
\(597\) | −20.2717 | + | 10.8354i | −0.829664 | + | 0.443465i | ||||
\(598\) | 24.1185 | + | 15.2035i | 0.986279 | + | 0.621718i | ||||
\(599\) | −4.34707 | + | 21.8542i | −0.177616 | + | 0.892938i | 0.784464 | + | 0.620174i | \(0.212938\pi\) |
−0.962081 | + | 0.272764i | \(0.912062\pi\) | |||||||
\(600\) | −4.10464 | + | 12.6870i | −0.167571 | + | 0.517943i | ||||
\(601\) | −22.7111 | + | 4.51752i | −0.926405 | + | 0.184273i | −0.635165 | − | 0.772377i | \(-0.719068\pi\) |
−0.291240 | + | 0.956650i | \(0.594068\pi\) | |||||||
\(602\) | −19.1627 | − | 42.9917i | −0.781014 | − | 1.75221i | ||||
\(603\) | 4.48064 | − | 0.441305i | 0.182466 | − | 0.0179713i | ||||
\(604\) | −8.38724 | + | 9.33067i | −0.341272 | + | 0.379660i | ||||
\(605\) | −0.443075 | + | 0.134405i | −0.0180136 | + | 0.00546435i | ||||
\(606\) | −1.72820 | + | 0.216759i | −0.0702032 | + | 0.00880523i | ||||
\(607\) | 11.0345 | + | 11.0345i | 0.447876 | + | 0.447876i | 0.894648 | − | 0.446772i | \(-0.147426\pi\) |
−0.446772 | + | 0.894648i | \(0.647426\pi\) | |||||||
\(608\) | 10.0978 | + | 7.71475i | 0.409518 | + | 0.312874i | ||||
\(609\) | −24.2266 | + | 24.2266i | −0.981711 | + | 0.981711i | ||||
\(610\) | 5.28379 | − | 6.79931i | 0.213934 | − | 0.275296i | ||||
\(611\) | 5.99400 | + | 19.7596i | 0.242491 | + | 0.799386i | ||||
\(612\) | 9.45707 | + | 3.34002i | 0.382279 | + | 0.135012i | ||||
\(613\) | −3.22927 | − | 32.7873i | −0.130429 | − | 1.32427i | −0.808163 | − | 0.588959i | \(-0.799538\pi\) |
0.677734 | − | 0.735307i | \(-0.262962\pi\) | |||||||
\(614\) | 0.0411879 | − | 0.107433i | 0.00166221 | − | 0.00433563i | ||||
\(615\) | −0.259670 | − | 1.30545i | −0.0104709 | − | 0.0526407i | ||||
\(616\) | 31.3673 | + | 39.6866i | 1.26383 | + | 1.59902i | ||||
\(617\) | 23.7640 | + | 4.72695i | 0.956702 | + | 0.190300i | 0.648665 | − | 0.761074i | \(-0.275328\pi\) |
0.308037 | + | 0.951374i | \(0.400328\pi\) | |||||||
\(618\) | −0.611048 | + | 0.138535i | −0.0245800 | + | 0.00557270i | ||||
\(619\) | 22.8405 | + | 42.7315i | 0.918036 | + | 1.71753i | 0.659797 | + | 0.751444i | \(0.270642\pi\) |
0.258240 | + | 0.966081i | \(0.416858\pi\) | |||||||
\(620\) | −9.54164 | − | 4.46496i | −0.383201 | − | 0.179317i | ||||
\(621\) | 0.550382 | − | 5.58812i | 0.0220861 | − | 0.224244i | ||||
\(622\) | 10.3910 | + | 5.20367i | 0.416643 | + | 0.208648i | ||||
\(623\) | −70.4504 | − | 29.1815i | −2.82254 | − | 1.16913i | ||||
\(624\) | −9.20152 | − | 11.0260i | −0.368356 | − | 0.441394i | ||||
\(625\) | −19.2149 | + | 7.95909i | −0.768597 | + | 0.318363i | ||||
\(626\) | −31.1982 | − | 2.23687i | −1.24693 | − | 0.0894032i | ||||
\(627\) | −5.98181 | + | 4.90914i | −0.238890 | + | 0.196052i | ||||
\(628\) | −6.13327 | − | 1.50954i | −0.244744 | − | 0.0602373i | ||||
\(629\) | 12.8507 | + | 3.89821i | 0.512390 | + | 0.155432i | ||||
\(630\) | 0.662850 | − | 3.86726i | 0.0264086 | − | 0.154075i | ||||
\(631\) | −17.0750 | − | 25.5545i | −0.679744 | − | 1.01731i | −0.997605 | − | 0.0691713i | \(-0.977965\pi\) |
0.317861 | − | 0.948137i | \(-0.397035\pi\) | |||||||
\(632\) | −10.3002 | − | 26.2198i | −0.409721 | − | 1.04297i | ||||
\(633\) | −4.34773 | − | 2.90506i | −0.172807 | − | 0.115466i | ||||
\(634\) | −14.3818 | + | 0.382627i | −0.571175 | + | 0.0151960i | ||||
\(635\) | −1.74541 | + | 2.12679i | −0.0692644 | + | 0.0843989i | ||||
\(636\) | −3.82271 | − | 14.9993i | −0.151580 | − | 0.594761i | ||||
\(637\) | 63.1862 | + | 33.7738i | 2.50353 | + | 1.33816i | ||||
\(638\) | 27.9392 | − | 15.9033i | 1.10612 | − | 0.629617i | ||||
\(639\) | 3.21039 | 0.127001 | ||||||||
\(640\) | 5.91738 | + | 1.23966i | 0.233905 | + | 0.0490020i | ||||
\(641\) | 47.7760 | 1.88704 | 0.943520 | − | 0.331315i | \(-0.107492\pi\) | ||||
0.943520 | + | 0.331315i | \(0.107492\pi\) | |||||||
\(642\) | −14.8727 | + | 8.46569i | −0.586978 | + | 0.334114i | ||||
\(643\) | −10.2200 | − | 5.46271i | −0.403038 | − | 0.215428i | 0.257406 | − | 0.966303i | \(-0.417132\pi\) |
−0.660444 | + | 0.750875i | \(0.729632\pi\) | |||||||
\(644\) | −56.5004 | + | 14.3997i | −2.22643 | + | 0.567426i | ||||
\(645\) | 2.17323 | − | 2.64809i | 0.0855709 | − | 0.104268i | ||||
\(646\) | 15.9257 | − | 0.423702i | 0.626590 | − | 0.0166703i | ||||
\(647\) | −33.1209 | − | 22.1307i | −1.30212 | − | 0.870047i | −0.305497 | − | 0.952193i | \(-0.598823\pi\) |
−0.996620 | + | 0.0821464i | \(0.973823\pi\) | |||||||
\(648\) | −1.13023 | + | 2.59279i | −0.0443998 | + | 0.101855i | ||||
\(649\) | −19.3540 | − | 28.9653i | −0.759709 | − | 1.13699i | ||||
\(650\) | 4.04387 | − | 23.5931i | 0.158613 | − | 0.925397i | ||||
\(651\) | −48.9720 | − | 14.8555i | −1.91936 | − | 0.582233i | ||||
\(652\) | −2.50543 | + | 10.1796i | −0.0981203 | + | 0.398662i | ||||
\(653\) | 14.9173 | − | 12.2424i | 0.583761 | − | 0.479080i | −0.295551 | − | 0.955327i | \(-0.595503\pi\) |
0.879312 | + | 0.476247i | \(0.158003\pi\) | |||||||
\(654\) | 14.6570 | + | 1.05089i | 0.573134 | + | 0.0410930i | ||||
\(655\) | −0.0714512 | + | 0.0295961i | −0.00279183 | + | 0.00115641i | ||||
\(656\) | 9.50999 | − | 2.97040i | 0.371303 | − | 0.115975i | ||||
\(657\) | 1.07098 | + | 0.443616i | 0.0417831 | + | 0.0173071i | ||||
\(658\) | −37.7584 | − | 18.9088i | −1.47197 | − | 0.737142i | ||||
\(659\) | 0.735491 | − | 7.46756i | 0.0286507 | − | 0.290895i | −0.970173 | − | 0.242412i | \(-0.922061\pi\) |
0.998824 | − | 0.0484829i | \(-0.0154386\pi\) | |||||||
\(660\) | −1.56041 | + | 3.33461i | −0.0607390 | + | 0.129799i | ||||
\(661\) | −7.86661 | − | 14.7174i | −0.305976 | − | 0.572440i | 0.681196 | − | 0.732101i | \(-0.261460\pi\) |
−0.987172 | + | 0.159661i | \(0.948960\pi\) | |||||||
\(662\) | −12.4312 | + | 2.81838i | −0.483154 | + | 0.109539i | ||||
\(663\) | −17.6585 | − | 3.51249i | −0.685798 | − | 0.136414i | ||||
\(664\) | −29.5134 | − | 3.45556i | −1.14534 | − | 0.134102i | ||||
\(665\) | −1.21590 | − | 6.11275i | −0.0471507 | − | 0.237042i | ||||
\(666\) | −1.35569 | + | 3.53612i | −0.0525319 | + | 0.137022i | ||||
\(667\) | 3.63201 | + | 36.8764i | 0.140632 | + | 1.42786i | ||||
\(668\) | −5.70884 | + | 16.1643i | −0.220882 | + | 0.625414i | ||||
\(669\) | −4.19972 | − | 13.8446i | −0.162371 | − | 0.535264i | ||||
\(670\) | 2.08783 | − | 2.68667i | 0.0806600 | − | 0.103795i | ||||
\(671\) | −27.7544 | + | 27.7544i | −1.07145 | + | 1.07145i | ||||
\(672\) | 29.3108 | + | 1.85952i | 1.13069 | + | 0.0717325i | ||||
\(673\) | −5.57698 | − | 5.57698i | −0.214977 | − | 0.214977i | 0.591401 | − | 0.806378i | \(-0.298575\pi\) |
−0.806378 | + | 0.591401i | \(0.798575\pi\) | |||||||
\(674\) | 25.6352 | − | 3.21529i | 0.987431 | − | 0.123848i | ||||
\(675\) | −4.51143 | + | 1.36853i | −0.173645 | + | 0.0526747i | ||||
\(676\) | −0.163517 | − | 0.146983i | −0.00628910 | − | 0.00565321i | ||||
\(677\) | −30.4282 | + | 2.99691i | −1.16945 | + | 0.115181i | −0.664039 | − | 0.747698i | \(-0.731159\pi\) |
−0.505411 | + | 0.862879i | \(0.668659\pi\) | |||||||
\(678\) | −0.159271 | − | 0.357325i | −0.00611675 | − | 0.0137230i | ||||
\(679\) | −70.1854 | + | 13.9608i | −2.69347 | + | 0.535765i | ||||
\(680\) | 6.74917 | − | 3.44956i | 0.258819 | − | 0.132285i | ||||
\(681\) | −3.01090 | + | 15.1368i | −0.115378 | + | 0.580044i | ||||
\(682\) | 40.6218 | + | 25.6067i | 1.55549 | + | 0.980530i | ||||
\(683\) | 40.0665 | − | 21.4160i | 1.53310 | − | 0.819461i | 0.533451 | − | 0.845831i | \(-0.320895\pi\) |
0.999652 | + | 0.0263699i | \(0.00839476\pi\) | |||||||
\(684\) | −0.202007 | + | 4.48825i | −0.00772393 | + | 0.171613i | ||||
\(685\) | −0.417334 | − | 0.0411038i | −0.0159455 | − | 0.00157050i | ||||
\(686\) | −90.2630 | + | 30.0247i | −3.44626 | + | 1.14635i | ||||
\(687\) | 10.0108 | − | 24.1682i | 0.381936 | − | 0.922075i | ||||
\(688\) | 21.4371 | + | 14.0703i | 0.817283 | + | 0.536427i | ||||
\(689\) | 10.6334 | + | 25.6714i | 0.405102 | + | 0.978002i | ||||
\(690\) | −2.77837 | − | 3.20755i | −0.105771 | − | 0.122109i | ||||
\(691\) | 11.9969 | + | 14.6183i | 0.456385 | + | 0.556107i | 0.949463 | − | 0.313878i | \(-0.101628\pi\) |
−0.493078 | + | 0.869985i | \(0.664128\pi\) | |||||||
\(692\) | 14.1146 | − | 19.1957i | 0.536555 | − | 0.729709i | ||||
\(693\) | −5.19169 | + | 17.1147i | −0.197216 | + | 0.650134i | ||||
\(694\) | 4.74757 | + | 6.71169i | 0.180215 | + | 0.254772i | ||||
\(695\) | 2.44669 | − | 1.63483i | 0.0928083 | − | 0.0620125i | ||||
\(696\) | 3.97717 | − | 18.2363i | 0.150754 | − | 0.691246i | ||||
\(697\) | 6.93944 | − | 10.3856i | 0.262850 | − | 0.393383i | ||||
\(698\) | 10.3096 | + | 9.77527i | 0.390225 | + | 0.370000i | ||||
\(699\) | 7.18131 | + | 5.89355i | 0.271622 | + | 0.222915i | ||||
\(700\) | 29.3230 | + | 39.1997i | 1.10830 | + | 1.48161i | ||||
\(701\) | −16.0769 | + | 30.0778i | −0.607216 | + | 1.13602i | 0.371039 | + | 0.928617i | \(0.379002\pi\) |
−0.978255 | + | 0.207405i | \(0.933498\pi\) | |||||||
\(702\) | 1.34415 | − | 4.89626i | 0.0507318 | − | 0.184798i | ||||
\(703\) | 6.01557i | 0.226882i | ||||||||
\(704\) | −26.0597 | − | 8.96345i | −0.982163 | − | 0.337823i | ||||
\(705\) | − | 3.07338i | − | 0.115750i | ||||||
\(706\) | −14.1397 | − | 3.88173i | −0.532156 | − | 0.146091i | ||||
\(707\) | −3.01425 | + | 5.63926i | −0.113362 | + | 0.212086i | ||||
\(708\) | −20.0187 | − | 2.88546i | −0.752348 | − | 0.108442i | ||||
\(709\) | 16.1292 | + | 13.2369i | 0.605746 | + | 0.497123i | 0.886544 | − | 0.462644i | \(-0.153099\pi\) |
−0.280798 | + | 0.959767i | \(0.590599\pi\) | |||||||
\(710\) | 1.66934 | − | 1.76059i | 0.0626491 | − | 0.0660738i | ||||
\(711\) | 5.53334 | − | 8.28123i | 0.207516 | − | 0.310570i | ||||
\(712\) | 40.8860 | − | 7.35431i | 1.53227 | − | 0.275614i | ||||
\(713\) | −46.0201 | + | 30.7496i | −1.72347 | + | 1.15158i | ||||
\(714\) | 30.0603 | − | 21.2634i | 1.12498 | − | 0.795764i | ||||
\(715\) | 1.91851 | − | 6.32447i | 0.0717481 | − | 0.236522i | ||||
\(716\) | 29.3757 | − | 4.48094i | 1.09782 | − | 0.167461i | ||||
\(717\) | 10.5384 | + | 12.8411i | 0.393565 | + | 0.479560i | ||||
\(718\) | 30.6477 | − | 26.5469i | 1.14376 | − | 0.990721i | ||||
\(719\) | 3.15492 | + | 7.61665i | 0.117659 | + | 0.284053i | 0.971727 | − | 0.236108i | \(-0.0758719\pi\) |
−0.854068 | + | 0.520161i | \(0.825872\pi\) | |||||||
\(720\) | 0.834200 | + | 1.96803i | 0.0310888 | + | 0.0733440i | ||||
\(721\) | −0.880256 | + | 2.12513i | −0.0327824 | + | 0.0791438i | ||||
\(722\) | −6.22853 | − | 18.7248i | −0.231802 | − | 0.696863i | ||||
\(723\) | 2.71083 | + | 0.266993i | 0.100817 | + | 0.00992958i | ||||
\(724\) | −16.9258 | − | 18.5212i | −0.629042 | − | 0.688335i | ||||
\(725\) | 27.4373 | − | 14.6656i | 1.01900 | − | 0.544665i | ||||
\(726\) | 0.653424 | − | 1.03658i | 0.0242508 | − | 0.0384709i | ||||
\(727\) | −6.39658 | + | 32.1578i | −0.237236 | + | 1.19267i | 0.660052 | + | 0.751220i | \(0.270534\pi\) |
−0.897288 | + | 0.441446i | \(0.854466\pi\) | |||||||
\(728\) | −52.5549 | + | 4.20258i | −1.94781 | + | 0.155758i | ||||
\(729\) | −0.980785 | + | 0.195090i | −0.0363254 | + | 0.00722557i | ||||
\(730\) | 0.800172 | − | 0.356661i | 0.0296157 | − | 0.0132006i | ||||
\(731\) | 31.9927 | − | 3.15101i | 1.18329 | − | 0.116544i | ||||
\(732\) | 1.21172 | + | 22.7563i | 0.0447863 | + | 0.841097i | ||||
\(733\) | 10.1917 | − | 3.09161i | 0.376438 | − | 0.114191i | −0.0963953 | − | 0.995343i | \(-0.530731\pi\) |
0.472833 | + | 0.881152i | \(0.343231\pi\) | |||||||
\(734\) | 2.37482 | + | 18.9342i | 0.0876560 | + | 0.698873i | ||||
\(735\) | −7.54053 | − | 7.54053i | −0.278136 | − | 0.278136i | ||||
\(736\) | 21.6652 | − | 23.2289i | 0.798588 | − | 0.856229i | ||||
\(737\) | −10.9669 | + | 10.9669i | −0.403969 | + | 0.403969i | ||||
\(738\) | 2.78138 | + | 2.16143i | 0.102384 | + | 0.0795634i | ||||
\(739\) | −2.95849 | − | 9.75283i | −0.108830 | − | 0.358764i | 0.885562 | − | 0.464521i | \(-0.153773\pi\) |
−0.994392 | + | 0.105757i | \(0.966273\pi\) | |||||||
\(740\) | 1.23429 | + | 2.58218i | 0.0453734 | + | 0.0949227i | ||||
\(741\) | −0.790527 | − | 8.02635i | −0.0290407 | − | 0.294855i | ||||
\(742\) | −53.0600 | − | 20.3423i | −1.94789 | − | 0.746791i | ||||
\(743\) | 7.87406 | + | 39.5856i | 0.288871 | + | 1.45225i | 0.803738 | + | 0.594984i | \(0.202842\pi\) |
−0.514866 | + | 0.857270i | \(0.672158\pi\) | |||||||
\(744\) | 26.8232 | − | 7.60129i | 0.983385 | − | 0.278677i | ||||
\(745\) | 9.27268 | + | 1.84445i | 0.339725 | + | 0.0675755i | ||||
\(746\) | 3.90615 | + | 17.2292i | 0.143014 | + | 0.630806i | ||||
\(747\) | −4.95242 | − | 9.26532i | −0.181200 | − | 0.339000i | ||||
\(748\) | −32.4818 | + | 11.7730i | −1.18765 | + | 0.430462i | ||||
\(749\) | −6.15808 | + | 62.5240i | −0.225011 | + | 2.28458i | ||||
\(750\) | −3.28733 | + | 6.56436i | −0.120036 | + | 0.239697i | ||||
\(751\) | 12.5412 | + | 5.19472i | 0.457634 | + | 0.189558i | 0.599578 | − | 0.800317i | \(-0.295335\pi\) |
−0.141944 | + | 0.989875i | \(0.545335\pi\) | |||||||
\(752\) | 22.8751 | − | 2.44300i | 0.834167 | − | 0.0890871i | ||||
\(753\) | 21.3786 | − | 8.85532i | 0.779081 | − | 0.322706i | ||||
\(754\) | −2.39620 | + | 33.4204i | −0.0872644 | + | 1.21710i | ||||
\(755\) | −2.59131 | + | 2.12663i | −0.0943074 | + | 0.0773961i | ||||
\(756\) | 5.37488 | + | 8.88443i | 0.195482 | + | 0.323124i | ||||
\(757\) | 6.33281 | + | 1.92104i | 0.230170 | + | 0.0698213i | 0.403263 | − | 0.915084i | \(-0.367876\pi\) |
−0.173093 | + | 0.984906i | \(0.555376\pi\) | |||||||
\(758\) | 43.7375 | + | 7.49663i | 1.58862 | + | 0.272290i | ||||
\(759\) | 10.7464 | + | 16.0831i | 0.390068 | + | 0.583779i | ||||
\(760\) | 2.35634 | + | 2.44459i | 0.0854734 | + | 0.0886744i | ||||
\(761\) | 40.1714 | + | 26.8417i | 1.45621 | + | 0.973009i | 0.996381 | + | 0.0850026i | \(0.0270899\pi\) |
0.459831 | + | 0.888007i | \(0.347910\pi\) | |||||||
\(762\) | −0.193646 | − | 7.27861i | −0.00701507 | − | 0.263676i | ||||
\(763\) | 34.2237 | − | 41.7017i | 1.23898 | − | 1.50970i | ||||
\(764\) | 15.9521 | + | 9.47245i | 0.577128 | + | 0.342701i | ||||
\(765\) | 2.36338 | + | 1.26325i | 0.0854480 | + | 0.0456729i | ||||
\(766\) | 10.9145 | + | 19.1747i | 0.394355 | + | 0.692811i | ||||
\(767\) | 36.3077 | 1.31099 | ||||||||
\(768\) | −13.9848 | + | 7.77329i | −0.504635 | + | 0.280494i | ||||
\(769\) | 29.9330 | 1.07941 | 0.539705 | − | 0.841854i | \(-0.318536\pi\) | ||||
0.539705 | + | 0.841854i | \(0.318536\pi\) | |||||||
\(770\) | 6.68621 | + | 11.7465i | 0.240954 | + | 0.423313i | ||||
\(771\) | −1.18041 | − | 0.630940i | −0.0425113 | − | 0.0227228i | ||||
\(772\) | −7.98854 | − | 4.74363i | −0.287514 | − | 0.170727i | ||||
\(773\) | −12.9858 | + | 15.8233i | −0.467068 | + | 0.569125i | −0.952262 | − | 0.305282i | \(-0.901249\pi\) |
0.485193 | + | 0.874407i | \(0.338749\pi\) | |||||||
\(774\) | 0.241112 | + | 9.06270i | 0.00866659 | + | 0.325752i | ||||
\(775\) | 38.6380 | + | 25.8171i | 1.38792 | + | 0.927377i | ||||
\(776\) | 28.0683 | − | 27.0550i | 1.00759 | − | 0.971219i | ||||
\(777\) | 7.72420 | + | 11.5601i | 0.277104 | + | 0.414716i | ||||
\(778\) | −23.9009 | − | 4.09662i | −0.856889 | − | 0.146871i | ||||
\(779\) | 5.35434 | + | 1.62422i | 0.191839 | + | 0.0581937i | ||||
\(780\) | −1.98620 | − | 3.28310i | −0.0711174 | − | 0.117554i | ||||
\(781\) | −8.54876 | + | 7.01578i | −0.305899 | + | 0.251044i | ||||
\(782\) | 2.84791 | − | 39.7206i | 0.101841 | − | 1.42040i | ||||
\(783\) | 6.09674 | − | 2.52535i | 0.217880 | − | 0.0902488i | ||||
\(784\) | 50.1300 | − | 62.1177i | 1.79036 | − | 2.21849i | ||||
\(785\) | −1.55919 | − | 0.645839i | −0.0556500 | − | 0.0230510i | ||||
\(786\) | 0.0916468 | − | 0.183006i | 0.00326893 | − | 0.00652762i | ||||
\(787\) | 0.564001 | − | 5.72640i | 0.0201045 | − | 0.204124i | −0.979885 | − | 0.199562i | \(-0.936048\pi\) |
0.999990 | − | 0.00456168i | \(-0.00145203\pi\) | |||||||
\(788\) | 19.7830 | − | 7.17031i | 0.704739 | − | 0.255432i | ||||
\(789\) | 12.7042 | + | 23.7678i | 0.452280 | + | 0.846157i | ||||
\(790\) | −1.66424 | − | 7.34058i | −0.0592108 | − | 0.261166i | ||||
\(791\) | −1.40863 | − | 0.280194i | −0.0500852 | − | 0.00996256i | ||||
\(792\) | −2.65650 | − | 9.37414i | −0.0943945 | − | 0.333096i | ||||
\(793\) | −7.98086 | − | 40.1225i | −0.283409 | − | 1.42479i | ||||
\(794\) | 19.7538 | + | 7.57329i | 0.701037 | + | 0.268766i | ||||
\(795\) | −0.405378 | − | 4.11587i | −0.0143773 | − | 0.145975i | ||||
\(796\) | −19.8260 | − | 41.4767i | −0.702714 | − | 1.47010i | ||||
\(797\) | −3.41182 | − | 11.2472i | −0.120853 | − | 0.398398i | 0.875552 | − | 0.483125i | \(-0.160498\pi\) |
−0.996404 | + | 0.0847268i | \(0.972998\pi\) | |||||||
\(798\) | 13.0238 | + | 10.1209i | 0.461038 | + | 0.358276i | ||||
\(799\) | 20.3939 | − | 20.3939i | 0.721486 | − | 0.721486i | ||||
\(800\) | −24.9792 | − | 9.34185i | −0.883147 | − | 0.330284i | ||||
\(801\) | 10.3855 | + | 10.3855i | 0.366955 | + | 0.366955i | ||||
\(802\) | 4.54722 | + | 36.2545i | 0.160568 | + | 1.28019i | ||||
\(803\) | −3.82132 | + | 1.15918i | −0.134851 | + | 0.0409067i | ||||
\(804\) | 0.478796 | + | 8.99191i | 0.0168858 | + | 0.317120i | ||||
\(805\) | −15.5039 | + | 1.52701i | −0.546442 | + | 0.0538199i | ||||
\(806\) | −45.7120 | + | 20.3752i | −1.61014 | + | 0.717687i | ||||
\(807\) | 12.8044 | − | 2.54695i | 0.450735 | − | 0.0896568i | ||||
\(808\) | −0.277672 | − | 3.47239i | −0.00976845 | − | 0.122158i | ||||
\(809\) | −0.819765 | + | 4.12124i | −0.0288214 | + | 0.144895i | −0.992517 | − | 0.122110i | \(-0.961034\pi\) |
0.963695 | + | 0.267005i | \(0.0860340\pi\) | |||||||
\(810\) | −0.403001 | + | 0.639310i | −0.0141600 | + | 0.0224631i | ||||
\(811\) | −44.5920 | + | 23.8349i | −1.56584 | + | 0.836958i | −0.565916 | + | 0.824463i | \(0.691477\pi\) |
−0.999922 | + | 0.0124951i | \(0.996023\pi\) | |||||||
\(812\) | −46.2256 | − | 50.5827i | −1.62220 | − | 1.77511i | ||||
\(813\) | −8.35179 | − | 0.822580i | −0.292910 | − | 0.0288491i | ||||
\(814\) | −4.11762 | − | 12.3788i | −0.144323 | − | 0.433875i | ||||
\(815\) | −1.07192 | + | 2.58784i | −0.0375476 | + | 0.0906480i | ||||
\(816\) | −7.52370 | + | 18.5947i | −0.263382 | + | 0.650943i | ||||
\(817\) | 5.51090 | + | 13.3045i | 0.192802 | + | 0.465465i | ||||
\(818\) | −7.62940 | + | 6.60856i | −0.266756 | + | 0.231063i | ||||
\(819\) | −11.8253 | − | 14.4091i | −0.413208 | − | 0.503496i | ||||
\(820\) | 2.63160 | − | 0.401422i | 0.0918996 | − | 0.0140183i | ||||
\(821\) | 0.419497 | − | 1.38290i | 0.0146406 | − | 0.0482634i | −0.949316 | − | 0.314324i | \(-0.898222\pi\) |
0.963956 | + | 0.266061i | \(0.0857221\pi\) | |||||||
\(822\) | 0.906038 | − | 0.640893i | 0.0316017 | − | 0.0223537i | ||||
\(823\) | −11.2983 | + | 7.54930i | −0.393835 | + | 0.263152i | −0.736682 | − | 0.676239i | \(-0.763609\pi\) |
0.342847 | + | 0.939391i | \(0.388609\pi\) | |||||||
\(824\) | −0.221841 | − | 1.23332i | −0.00772821 | − | 0.0429647i | ||||
\(825\) | 9.02255 | − | 13.5032i | 0.314125 | − | 0.470121i | ||||
\(826\) | −51.0894 | + | 53.8822i | −1.77763 | + | 1.87480i | ||||
\(827\) | −21.0352 | − | 17.2632i | −0.731467 | − | 0.600299i | 0.193163 | − | 0.981167i | \(-0.438125\pi\) |
−0.924630 | + | 0.380868i | \(0.875625\pi\) | |||||||
\(828\) | 11.1155 | + | 1.60216i | 0.386289 | + | 0.0556790i | ||||
\(829\) | −9.03501 | + | 16.9033i | −0.313799 | + | 0.587076i | −0.988537 | − | 0.150981i | \(-0.951757\pi\) |
0.674738 | + | 0.738057i | \(0.264257\pi\) | |||||||
\(830\) | −7.65631 | − | 2.10186i | −0.265754 | − | 0.0729565i | ||||
\(831\) | − | 20.3259i | − | 0.705096i | ||||||
\(832\) | 22.8572 | − | 17.3929i | 0.792430 | − | 0.602991i | ||||
\(833\) | − | 100.073i | − | 3.46732i | ||||||
\(834\) | −2.06159 | + | 7.50963i | −0.0713870 | + | 0.260037i | ||||
\(835\) | −2.15918 | + | 4.03954i | −0.0747215 | + | 0.139794i | ||||
\(836\) | −9.27045 | − | 12.3930i | −0.320625 | − | 0.428620i | ||||
\(837\) | 7.61945 | + | 6.25312i | 0.263367 | + | 0.216140i | ||||
\(838\) | −3.68574 | − | 3.49471i | −0.127322 | − | 0.120723i | ||||
\(839\) | 3.14997 | − | 4.71427i | 0.108749 | − | 0.162755i | −0.773103 | − | 0.634280i | \(-0.781297\pi\) |
0.881852 | + | 0.471526i | \(0.156297\pi\) | |||||||
\(840\) | 7.66710 | + | 1.67212i | 0.264540 | + | 0.0576937i | ||||
\(841\) | −12.0959 | + | 8.08225i | −0.417102 | + | 0.278698i | ||||
\(842\) | −19.0359 | − | 26.9112i | −0.656020 | − | 0.927423i | ||||
\(843\) | 0.693913 | − | 2.28753i | 0.0238996 | − | 0.0787866i | ||||
\(844\) | 6.19521 | − | 8.42543i | 0.213248 | − | 0.290015i | ||||
\(845\) | −0.0372685 | − | 0.0454117i | −0.00128207 | − | 0.00156221i | ||||
\(846\) | 5.32525 | + | 6.14786i | 0.183086 | + | 0.211368i | ||||
\(847\) | −1.72149 | − | 4.15605i | −0.0591512 | − | 0.142804i | ||||
\(848\) | 30.3120 | − | 6.28888i | 1.04092 | − | 0.215961i | ||||
\(849\) | 5.59900 | − | 13.5172i | 0.192157 | − | 0.463909i | ||||
\(850\) | −31.7255 | + | 10.5530i | −1.08818 | + | 0.361966i | ||||
\(851\) | 14.9643 | + | 1.47385i | 0.512969 | + | 0.0505231i | ||||
\(852\) | −0.288693 | + | 6.41428i | −0.00989047 | + | 0.219750i | ||||
\(853\) | 16.0421 | − | 8.57466i | 0.549270 | − | 0.293591i | −0.173323 | − | 0.984865i | \(-0.555450\pi\) |
0.722592 | + | 0.691274i | \(0.242950\pi\) | |||||||
\(854\) | 70.7736 | + | 44.6134i | 2.42182 | + | 1.52664i | ||||
\(855\) | −0.234193 | + | 1.17737i | −0.00800923 | + | 0.0402651i | ||||
\(856\) | −15.5768 | − | 30.4766i | −0.532405 | − | 1.04167i | ||||
\(857\) | −56.1951 | + | 11.1779i | −1.91959 | + | 0.381830i | −0.999940 | − | 0.0109153i | \(-0.996525\pi\) |
−0.919647 | + | 0.392745i | \(0.871525\pi\) | |||||||
\(858\) | 7.12073 | + | 15.9754i | 0.243098 | + | 0.545392i | ||||
\(859\) | 1.38949 | − | 0.136853i | 0.0474088 | − | 0.00466936i | −0.0742849 | − | 0.997237i | \(-0.523667\pi\) |
0.121694 | + | 0.992568i | \(0.461167\pi\) | |||||||
\(860\) | 5.09540 | + | 4.58020i | 0.173752 | + | 0.156183i | ||||
\(861\) | 12.3749 | − | 3.75390i | 0.421737 | − | 0.127933i | ||||
\(862\) | −30.2695 | + | 3.79656i | −1.03098 | + | 0.129311i | ||||
\(863\) | 29.6678 | + | 29.6678i | 1.00990 | + | 1.00990i | 0.999950 | + | 0.00995189i | \(0.00316784\pi\) |
0.00995189 | + | 0.999950i | \(0.496832\pi\) | |||||||
\(864\) | −5.07870 | − | 2.49134i | −0.172781 | − | 0.0847570i | ||||
\(865\) | 4.50156 | − | 4.50156i | 0.153058 | − | 0.153058i | ||||
\(866\) | −23.8817 | + | 30.7316i | −0.811535 | + | 1.04430i | ||||
\(867\) | 2.36523 | + | 7.79712i | 0.0803274 | + | 0.264804i | ||||
\(868\) | 34.0848 | − | 96.5091i | 1.15691 | − | 3.27573i | ||||
\(869\) | 3.36287 | + | 34.1438i | 0.114078 | + | 1.15825i | ||||
\(870\) | 1.78527 | − | 4.65662i | 0.0605263 | − | 0.157874i | ||||
\(871\) | −3.15355 | − | 15.8540i | −0.106854 | − | 0.537191i | ||||
\(872\) | −3.41768 | + | 29.1899i | −0.115737 | + | 0.988494i | ||||
\(873\) | 13.5183 | + | 2.68896i | 0.457525 | + | 0.0910075i | ||||
\(874\) | 17.3972 | − | 3.94425i | 0.588470 | − | 0.133416i | ||||
\(875\) | 12.7052 | + | 23.7697i | 0.429513 | + | 0.803562i | ||||
\(876\) | −0.982644 | + | 2.09991i | −0.0332005 | + | 0.0709494i | ||||
\(877\) | −2.94329 | + | 29.8837i | −0.0993877 | + | 1.00910i | 0.808107 | + | 0.589036i | \(0.200492\pi\) |
−0.907494 | + | 0.420064i | \(0.862008\pi\) | |||||||
\(878\) | 25.6192 | + | 12.8297i | 0.864605 | + | 0.432981i | ||||
\(879\) | −15.3088 | − | 6.34110i | −0.516352 | − | 0.213880i | ||||
\(880\) | −6.52215 | − | 3.41754i | −0.219862 | − | 0.115205i | ||||
\(881\) | 20.7975 | − | 8.61462i | 0.700687 | − | 0.290234i | −0.00375777 | − | 0.999993i | \(-0.501196\pi\) |
0.704445 | + | 0.709759i | \(0.251196\pi\) | |||||||
\(882\) | 28.1492 | + | 2.01826i | 0.947834 | + | 0.0679584i | ||||
\(883\) | −3.92386 | + | 3.22023i | −0.132049 | + | 0.108369i | −0.698099 | − | 0.716001i | \(-0.745971\pi\) |
0.566051 | + | 0.824370i | \(0.308471\pi\) | |||||||
\(884\) | 8.60580 | − | 34.9654i | 0.289445 | − | 1.17601i | ||||
\(885\) | −5.17139 | − | 1.56872i | −0.173834 | − | 0.0527320i | ||||
\(886\) | −5.50221 | + | 32.1015i | −0.184850 | + | 1.07847i | ||||
\(887\) | 19.2153 | + | 28.7578i | 0.645188 | + | 0.965592i | 0.999535 | + | 0.0304784i | \(0.00970307\pi\) |
−0.354347 | + | 0.935114i | \(0.615297\pi\) | |||||||
\(888\) | −6.94317 | − | 3.02662i | −0.232997 | − | 0.101567i | ||||
\(889\) | −22.2258 | − | 14.8508i | −0.745431 | − | 0.498081i | ||||
\(890\) | 11.0957 | − | 0.295201i | 0.371930 | − | 0.00989516i | ||||
\(891\) | 2.18534 | − | 2.66284i | 0.0732116 | − | 0.0892086i | ||||
\(892\) | 28.0389 | − | 7.14597i | 0.938811 | − | 0.239265i | ||||
\(893\) | 11.3941 | + | 6.09029i | 0.381290 | + | 0.203804i | ||||
\(894\) | −21.7446 | + | 12.3772i | −0.727247 | + | 0.413957i | ||||
\(895\) | 7.93972 | 0.265396 | ||||||||
\(896\) | −6.35104 | + | 58.3951i | −0.212173 | + | 1.95084i | ||||
\(897\) | −20.1600 | −0.673122 | ||||||||
\(898\) | −13.5725 | + | 7.72559i | −0.452919 | + | 0.257806i | ||||
\(899\) | −57.3655 | − | 30.6625i | −1.91325 | − | 1.02265i | ||||
\(900\) | −2.32860 | − | 9.13681i | −0.0776200 | − | 0.304560i | ||||
\(901\) | 24.6216 | − | 30.0015i | 0.820264 | − | 0.999495i | ||||
\(902\) | −12.1299 | + | 0.322713i | −0.403880 | + | 0.0107452i | ||||
\(903\) | 27.6737 | + | 18.4910i | 0.920923 | + | 0.615341i | ||||
\(904\) | 0.728249 | − | 0.286086i | 0.0242212 | − | 0.00951510i | ||||
\(905\) | −3.72447 | − | 5.57406i | −0.123805 | − | 0.185288i | ||||
\(906\) | 1.49872 | − | 8.74399i | 0.0497918 | − | 0.290500i | ||||
\(907\) | −1.92533 | − | 0.584041i | −0.0639294 | − | 0.0193928i | 0.258158 | − | 0.966103i | \(-0.416884\pi\) |
−0.322087 | + | 0.946710i | \(0.604384\pi\) | |||||||
\(908\) | −29.9723 | − | 7.37689i | −0.994664 | − | 0.244811i | ||||
\(909\) | 0.952035 | − | 0.781315i | 0.0315770 | − | 0.0259146i | ||||
\(910\) | −14.0509 | − | 1.00743i | −0.465784 | − | 0.0333961i | ||||
\(911\) | −10.0485 | + | 4.16224i | −0.332923 | + | 0.137901i | −0.542882 | − | 0.839809i | \(-0.682667\pi\) |
0.209959 | + | 0.977710i | \(0.432667\pi\) | |||||||
\(912\) | −8.94927 | − | 0.807211i | −0.296340 | − | 0.0267294i | ||||
\(913\) | 33.4354 | + | 13.8494i | 1.10655 | + | 0.458348i | ||||
\(914\) | −17.9043 | − | 8.96620i | −0.592221 | − | 0.296575i | ||||
\(915\) | −0.596815 | + | 6.05957i | −0.0197301 | + | 0.200323i | ||||
\(916\) | 47.3873 | + | 22.1747i | 1.56572 | + | 0.732672i | ||||
\(917\) | −0.354204 | − | 0.662670i | −0.0116969 | − | 0.0218833i | ||||
\(918\) | −6.91644 | + | 1.56807i | −0.228276 | + | 0.0517541i | ||||
\(919\) | −22.9627 | − | 4.56757i | −0.757470 | − | 0.150670i | −0.198777 | − | 0.980045i | \(-0.563697\pi\) |
−0.558693 | + | 0.829375i | \(0.688697\pi\) | |||||||
\(920\) | 6.65845 | − | 5.26267i | 0.219523 | − | 0.173505i | ||||
\(921\) | 0.0158721 | + | 0.0797946i | 0.000523005 | + | 0.00262932i | ||||
\(922\) | 3.75362 | − | 9.79077i | 0.123619 | − | 0.322442i | ||||
\(923\) | −1.12976 | − | 11.4707i | −0.0371866 | − | 0.377561i | ||||
\(924\) | −33.7280 | − | 11.9119i | −1.10957 | − | 0.391874i | ||||
\(925\) | −3.66475 | − | 12.0810i | −0.120496 | − | 0.397222i | ||||
\(926\) | 27.7281 | − | 35.6812i | 0.911201 | − | 1.17256i | ||||
\(927\) | 0.313278 | − | 0.313278i | 0.0102894 | − | 0.0102894i | ||||
\(928\) | 36.0781 | + | 9.58620i | 1.18432 | + | 0.314682i | ||||
\(929\) | −16.2723 | − | 16.2723i | −0.533875 | − | 0.533875i | 0.387848 | − | 0.921723i | \(-0.373219\pi\) |
−0.921723 | + | 0.387848i | \(0.873219\pi\) | |||||||
\(930\) | 7.39121 | − | 0.927042i | 0.242367 | − | 0.0303989i | ||||
\(931\) | 42.8980 | − | 13.0130i | 1.40592 | − | 0.426483i | ||||
\(932\) | −12.4210 | + | 13.8181i | −0.406862 | + | 0.452628i | ||||
\(933\) | −8.17785 | + | 0.805448i | −0.267731 | + | 0.0263692i | ||||
\(934\) | −11.2637 | − | 25.2703i | −0.368560 | − | 0.826869i | ||||
\(935\) | −9.05393 | + | 1.80094i | −0.296095 | + | 0.0588970i | ||||
\(936\) | 9.66175 | + | 3.12588i | 0.315804 | + | 0.102173i | ||||
\(937\) | −5.76426 | + | 28.9789i | −0.188310 | + | 0.946699i | 0.764844 | + | 0.644215i | \(0.222816\pi\) |
−0.953154 | + | 0.302484i | \(0.902184\pi\) | |||||||
\(938\) | 27.9654 | + | 17.6285i | 0.913104 | + | 0.575591i | ||||
\(939\) | 19.5055 | − | 10.4259i | 0.636538 | − | 0.340237i | ||||
\(940\) | 6.14054 | + | 0.276373i | 0.200282 | + | 0.00901430i | ||||
\(941\) | −22.5414 | − | 2.22013i | −0.734829 | − | 0.0723743i | −0.276322 | − | 0.961065i | \(-0.589116\pi\) |
−0.458507 | + | 0.888691i | \(0.651616\pi\) | |||||||
\(942\) | 4.23799 | − | 1.40971i | 0.138081 | − | 0.0459308i | ||||
\(943\) | 5.35224 | − | 12.9215i | 0.174293 | − | 0.420781i | ||||
\(944\) | 7.56526 | − | 39.7374i | 0.246228 | − | 1.29334i | ||||
\(945\) | 1.06173 | + | 2.56325i | 0.0345382 | + | 0.0833826i | ||||
\(946\) | −20.4471 | − | 23.6056i | −0.664793 | − | 0.767485i | ||||
\(947\) | −31.8489 | − | 38.8080i | −1.03495 | − | 1.26109i | −0.964642 | − | 0.263565i | \(-0.915102\pi\) |
−0.0703083 | − | 0.997525i | \(-0.522398\pi\) | |||||||
\(948\) | 16.0481 | + | 11.8002i | 0.521219 | + | 0.383252i | ||||
\(949\) | 1.20815 | − | 3.98273i | 0.0392181 | − | 0.129285i | ||||
\(950\) | −8.64916 | − | 12.2274i | −0.280616 | − | 0.396710i | ||||
\(951\) | 8.45861 | − | 5.65186i | 0.274289 | − | 0.183274i | ||||
\(952\) | 39.7807 | + | 61.9720i | 1.28930 | + | 2.00852i | ||||
\(953\) | −20.2781 | + | 30.3484i | −0.656873 | + | 0.983080i | 0.342183 | + | 0.939633i | \(0.388834\pi\) |
−0.999056 | + | 0.0434462i | \(0.986166\pi\) | |||||||
\(954\) | 7.94248 | + | 7.53081i | 0.257147 | + | 0.243819i | ||||
\(955\) | 3.83187 | + | 3.14474i | 0.123996 | + | 0.101761i | ||||
\(956\) | −26.6039 | + | 19.9008i | −0.860432 | + | 0.643638i | ||||
\(957\) | −10.7159 | + | 20.0481i | −0.346396 | + | 0.648062i | ||||
\(958\) | 12.5275 | − | 45.6332i | 0.404746 | − | 1.47434i | ||||
\(959\) | − | 4.07430i | − | 0.131566i | ||||||
\(960\) | −4.00709 | + | 1.48974i | −0.129328 | + | 0.0480811i | ||||
\(961\) | − | 66.1577i | − | 2.13412i | ||||||
\(962\) | 13.1116 | + | 3.59947i | 0.422734 | + | 0.116052i | ||||
\(963\) | 5.70433 | − | 10.6721i | 0.183820 | − | 0.343902i | ||||
\(964\) | −0.777217 | + | 5.39216i | −0.0250325 | + | 0.173670i | ||||
\(965\) | −1.91893 | − | 1.57483i | −0.0617726 | − | 0.0506955i | ||||
\(966\) | 28.3676 | − | 29.9183i | 0.912712 | − | 0.962605i | ||||
\(967\) | 10.1222 | − | 15.1490i | 0.325508 | − | 0.487158i | −0.632237 | − | 0.774775i | \(-0.717863\pi\) |
0.957745 | + | 0.287617i | \(0.0928631\pi\) | |||||||
\(968\) | 2.01230 | + | 1.39874i | 0.0646777 | + | 0.0449572i | ||||
\(969\) | −9.36666 | + | 6.25860i | −0.300900 | + | 0.201055i | ||||
\(970\) | 8.50389 | − | 6.01530i | 0.273044 | − | 0.193140i | ||||
\(971\) | −2.21000 | + | 7.28539i | −0.0709222 | + | 0.233799i | −0.985234 | − | 0.171211i | \(-0.945232\pi\) |
0.914312 | + | 0.405010i | \(0.132732\pi\) | |||||||
\(972\) | −0.301589 | − | 1.97713i | −0.00967348 | − | 0.0634165i | ||||
\(973\) | 18.1370 | + | 22.0999i | 0.581444 | + | 0.708492i | ||||
\(974\) | −4.02247 | + | 3.48425i | −0.128888 | + | 0.111642i | ||||
\(975\) | 6.47734 | + | 15.6377i | 0.207441 | + | 0.500807i | ||||
\(976\) | −45.5756 | + | 0.374622i | −1.45884 | + | 0.0119914i | ||||
\(977\) | −10.5407 | + | 25.4475i | −0.337227 | + | 0.814139i | 0.660752 | + | 0.750604i | \(0.270237\pi\) |
−0.997980 | + | 0.0635347i | \(0.979763\pi\) | |||||||
\(978\) | −2.33973 | − | 7.03392i | −0.0748165 | − | 0.224920i | ||||
\(979\) | −50.3510 | − | 4.95914i | −1.60922 | − | 0.158495i | ||||
\(980\) | 15.7439 | − | 14.3877i | 0.502920 | − | 0.459599i | ||||
\(981\) | −9.16376 | + | 4.89813i | −0.292576 | + | 0.156385i | ||||
\(982\) | −3.85959 | + | 6.12276i | −0.123164 | + | 0.195385i | ||||
\(983\) | 11.8976 | − | 59.8130i | 0.379473 | − | 1.90774i | −0.0384572 | − | 0.999260i | \(-0.512244\pi\) |
0.417930 | − | 0.908479i | \(-0.362756\pi\) | |||||||
\(984\) | −4.56861 | + | 5.36278i | −0.145642 | + | 0.170959i | ||||
\(985\) | 5.51428 | − | 1.09686i | 0.175700 | − | 0.0349488i | ||||
\(986\) | 42.7463 | − | 19.0533i | 1.36132 | − | 0.606781i | ||||
\(987\) | 29.7162 | − | 2.92679i | 0.945877 | − | 0.0931607i | ||||
\(988\) | 16.1076 | − | 0.857686i | 0.512450 | − | 0.0272866i | ||||
\(989\) | 34.4464 | − | 10.4492i | 1.09533 | − | 0.332265i | ||||
\(990\) | −0.323982 | − | 2.58308i | −0.0102968 | − | 0.0820956i | ||||
\(991\) | 43.5729 | + | 43.5729i | 1.38414 | + | 1.38414i | 0.837121 | + | 0.547018i | \(0.184237\pi\) |
0.547018 | + | 0.837121i | \(0.315763\pi\) | |||||||
\(992\) | 12.7751 | + | 54.2756i | 0.405611 | + | 1.72325i | ||||
\(993\) | 6.37337 | − | 6.37337i | 0.202253 | − | 0.202253i | ||||
\(994\) | 18.6127 | + | 14.4640i | 0.590358 | + | 0.458771i | ||||
\(995\) | −3.56562 | − | 11.7543i | −0.113038 | − | 0.372635i | ||||
\(996\) | 18.9573 | − | 9.06164i | 0.600683 | − | 0.287129i | ||||
\(997\) | −0.218071 | − | 2.21412i | −0.00690639 | − | 0.0701217i | 0.991114 | − | 0.133017i | \(-0.0424665\pi\) |
−0.998020 | + | 0.0628954i | \(0.979967\pi\) | |||||||
\(998\) | 4.00723 | + | 1.53631i | 0.126847 | + | 0.0486310i | ||||
\(999\) | −0.522427 | − | 2.62642i | −0.0165289 | − | 0.0830962i |
(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 | 384.2.v.a.109.10 | ✓ | 512 | |
128.101 | even | 32 | inner | 384.2.v.a.229.10 | yes | 512 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
384.2.v.a.109.10 | ✓ | 512 | 1.1 | even | 1 | trivial | |
384.2.v.a.229.10 | yes | 512 | 128.101 | even | 32 | inner |