Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [201,2,Mod(2,201)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(201, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([33, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("201.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 201 = 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 201.p (of order \(66\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.60499308063\) |
Analytic rank: | \(0\) |
Dimension: | \(400\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 2.19 | ||
Character | \(\chi\) | \(=\) | 201.2 |
Dual form | 201.2.p.b.101.19 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/201\mathbb{Z}\right)^\times\).
\(n\) | \(68\) | \(136\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{66}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.111707 | − | 2.34502i | 0.0789890 | − | 1.65818i | −0.517590 | − | 0.855629i | \(-0.673171\pi\) |
0.596579 | − | 0.802554i | \(-0.296526\pi\) | |||||||
\(3\) | −0.430563 | − | 1.67768i | −0.248586 | − | 0.968610i | ||||
\(4\) | −3.49572 | − | 0.333801i | −1.74786 | − | 0.166900i | ||||
\(5\) | −2.49839 | + | 2.88330i | −1.11732 | + | 1.28945i | −0.164340 | + | 0.986404i | \(0.552549\pi\) |
−0.952976 | + | 0.303047i | \(0.901996\pi\) | |||||||
\(6\) | −3.98230 | + | 0.822271i | −1.62577 | + | 0.335691i | ||||
\(7\) | −0.0230737 | − | 0.0447567i | −0.00872103 | − | 0.0169164i | 0.884435 | − | 0.466664i | \(-0.154544\pi\) |
−0.893156 | + | 0.449748i | \(0.851514\pi\) | |||||||
\(8\) | −0.505048 | + | 3.51269i | −0.178561 | + | 1.24192i | ||||
\(9\) | −2.62923 | + | 1.44469i | −0.876410 | + | 0.481565i | ||||
\(10\) | 6.48232 | + | 6.18088i | 2.04989 | + | 1.95457i | ||||
\(11\) | −1.32872 | − | 3.83910i | −0.400626 | − | 1.15753i | −0.947345 | − | 0.320215i | \(-0.896245\pi\) |
0.546719 | − | 0.837316i | \(-0.315877\pi\) | |||||||
\(12\) | 0.945115 | + | 6.00843i | 0.272831 | + | 1.73448i | ||||
\(13\) | −1.97340 | − | 2.50938i | −0.547323 | − | 0.695978i | 0.431167 | − | 0.902272i | \(-0.358102\pi\) |
−0.978490 | + | 0.206294i | \(0.933860\pi\) | |||||||
\(14\) | −0.107533 | + | 0.0491087i | −0.0287394 | + | 0.0131248i | ||||
\(15\) | 5.91297 | + | 2.95007i | 1.52672 | + | 0.761704i | ||||
\(16\) | 1.28459 | + | 0.247585i | 0.321149 | + | 0.0618963i | ||||
\(17\) | −0.593528 | − | 6.21570i | −0.143952 | − | 1.50753i | −0.722209 | − | 0.691675i | \(-0.756873\pi\) |
0.578257 | − | 0.815854i | \(-0.303733\pi\) | |||||||
\(18\) | 3.09414 | + | 6.32700i | 0.729296 | + | 1.49129i | ||||
\(19\) | 0.719813 | + | 0.371089i | 0.165136 | + | 0.0851337i | 0.538813 | − | 0.842425i | \(-0.318873\pi\) |
−0.373677 | + | 0.927559i | \(0.621903\pi\) | |||||||
\(20\) | 9.69613 | − | 9.24524i | 2.16812 | − | 2.06730i | ||||
\(21\) | −0.0651528 | + | 0.0579808i | −0.0142175 | + | 0.0126525i | ||||
\(22\) | −9.15121 | + | 2.68704i | −1.95104 | + | 0.572878i | ||||
\(23\) | 5.80192 | − | 1.40753i | 1.20978 | − | 0.293490i | 0.420370 | − | 0.907353i | \(-0.361900\pi\) |
0.789413 | + | 0.613862i | \(0.210385\pi\) | |||||||
\(24\) | 6.11062 | − | 0.665122i | 1.24733 | − | 0.135767i | ||||
\(25\) | −1.35987 | − | 9.45812i | −0.271975 | − | 1.89162i | ||||
\(26\) | −6.10501 | + | 4.34736i | −1.19729 | + | 0.852587i | ||||
\(27\) | 3.55579 | + | 3.78898i | 0.684312 | + | 0.729190i | ||||
\(28\) | 0.0657193 | + | 0.164159i | 0.0124198 | + | 0.0310231i | ||||
\(29\) | 2.67490 | + | 1.54435i | 0.496716 | + | 0.286779i | 0.727356 | − | 0.686260i | \(-0.240749\pi\) |
−0.230640 | + | 0.973039i | \(0.574082\pi\) | |||||||
\(30\) | 7.57850 | − | 13.5365i | 1.38364 | − | 2.47142i | ||||
\(31\) | −3.30270 | + | 4.19972i | −0.593182 | + | 0.754292i | −0.986258 | − | 0.165214i | \(-0.947169\pi\) |
0.393076 | + | 0.919506i | \(0.371411\pi\) | |||||||
\(32\) | −0.949233 | + | 3.91279i | −0.167802 | + | 0.691691i | ||||
\(33\) | −5.86868 | + | 3.88215i | −1.02161 | + | 0.675795i | ||||
\(34\) | −14.6423 | + | 0.697498i | −2.51113 | + | 0.119620i | ||||
\(35\) | 0.186694 | + | 0.0452915i | 0.0315570 | + | 0.00765566i | ||||
\(36\) | 9.67329 | − | 4.17261i | 1.61222 | − | 0.695435i | ||||
\(37\) | 2.01217 | + | 3.48517i | 0.330798 | + | 0.572959i | 0.982669 | − | 0.185371i | \(-0.0593488\pi\) |
−0.651871 | + | 0.758330i | \(0.726015\pi\) | |||||||
\(38\) | 0.950622 | − | 1.64653i | 0.154211 | − | 0.267102i | ||||
\(39\) | −3.36027 | + | 4.39119i | −0.538074 | + | 0.703152i | ||||
\(40\) | −8.86631 | − | 10.2323i | −1.40189 | − | 1.61786i | ||||
\(41\) | −5.19569 | − | 7.29633i | −0.811431 | − | 1.13949i | −0.987885 | − | 0.155186i | \(-0.950402\pi\) |
0.176455 | − | 0.984309i | \(-0.443537\pi\) | |||||||
\(42\) | 0.128688 | + | 0.159262i | 0.0198571 | + | 0.0245746i | ||||
\(43\) | 4.57705 | + | 2.09027i | 0.697993 | + | 0.318763i | 0.732620 | − | 0.680638i | \(-0.238297\pi\) |
−0.0346274 | + | 0.999400i | \(0.511024\pi\) | |||||||
\(44\) | 3.36335 | + | 13.8639i | 0.507045 | + | 2.09007i | ||||
\(45\) | 2.40337 | − | 11.1903i | 0.358273 | − | 1.66815i | ||||
\(46\) | −2.65258 | − | 13.7629i | −0.391101 | − | 2.02923i | ||||
\(47\) | −2.97767 | − | 3.12289i | −0.434337 | − | 0.455520i | 0.469793 | − | 0.882777i | \(-0.344329\pi\) |
−0.904130 | + | 0.427257i | \(0.859480\pi\) | |||||||
\(48\) | −0.137729 | − | 2.26174i | −0.0198795 | − | 0.326454i | ||||
\(49\) | 4.05893 | − | 5.69997i | 0.579847 | − | 0.814281i | ||||
\(50\) | −22.3314 | + | 2.13239i | −3.15814 | + | 0.301566i | ||||
\(51\) | −10.1724 | + | 3.67200i | −1.42442 | + | 0.514183i | ||||
\(52\) | 6.06082 | + | 9.43082i | 0.840485 | + | 1.30782i | ||||
\(53\) | 4.06582 | + | 8.90289i | 0.558483 | + | 1.22291i | 0.952706 | + | 0.303892i | \(0.0982862\pi\) |
−0.394224 | + | 0.919015i | \(0.628986\pi\) | |||||||
\(54\) | 9.28246 | − | 7.91515i | 1.26318 | − | 1.07712i | ||||
\(55\) | 14.3889 | + | 5.76046i | 1.94020 | + | 0.776741i | ||||
\(56\) | 0.168869 | − | 0.0584463i | 0.0225661 | − | 0.00781021i | ||||
\(57\) | 0.312645 | − | 1.36739i | 0.0414108 | − | 0.181116i | ||||
\(58\) | 3.92035 | − | 6.10019i | 0.514767 | − | 0.800994i | ||||
\(59\) | 0.838798 | + | 0.120601i | 0.109202 | + | 0.0157009i | 0.196699 | − | 0.980464i | \(-0.436978\pi\) |
−0.0874971 | + | 0.996165i | \(0.527887\pi\) | |||||||
\(60\) | −19.6854 | − | 12.2864i | −2.54137 | − | 1.58616i | ||||
\(61\) | −11.0300 | − | 3.81752i | −1.41225 | − | 0.488784i | −0.488762 | − | 0.872417i | \(-0.662551\pi\) |
−0.923486 | + | 0.383633i | \(0.874673\pi\) | |||||||
\(62\) | 9.47951 | + | 8.21405i | 1.20390 | + | 1.04318i | ||||
\(63\) | 0.125326 | + | 0.0843412i | 0.0157896 | + | 0.0106260i | ||||
\(64\) | 11.5800 | + | 3.40021i | 1.44751 | + | 0.425026i | ||||
\(65\) | 12.1656 | + | 0.579521i | 1.50896 | + | 0.0718807i | ||||
\(66\) | 8.44816 | + | 14.1959i | 1.03990 | + | 1.74739i | ||||
\(67\) | −1.63070 | − | 8.02127i | −0.199221 | − | 0.979955i | ||||
\(68\) | 21.9265i | 2.65898i | ||||||||
\(69\) | −4.85948 | − | 9.12774i | −0.585012 | − | 1.09885i | ||||
\(70\) | 0.127065 | − | 0.432743i | 0.0151871 | − | 0.0517226i | ||||
\(71\) | 0.901927 | − | 9.44541i | 0.107039 | − | 1.12096i | −0.769174 | − | 0.639040i | \(-0.779332\pi\) |
0.876213 | − | 0.481924i | \(-0.160062\pi\) | |||||||
\(72\) | −3.74687 | − | 9.96530i | −0.441573 | − | 1.17442i | ||||
\(73\) | 0.941771 | − | 2.72107i | 0.110226 | − | 0.318477i | −0.876375 | − | 0.481630i | \(-0.840045\pi\) |
0.986601 | + | 0.163153i | \(0.0521663\pi\) | |||||||
\(74\) | 8.39759 | − | 4.32926i | 0.976200 | − | 0.503266i | ||||
\(75\) | −15.2822 | + | 6.35375i | −1.76464 | + | 0.733668i | ||||
\(76\) | −2.39239 | − | 1.53750i | −0.274426 | − | 0.176363i | ||||
\(77\) | −0.141167 | + | 0.148051i | −0.0160874 | + | 0.0168720i | ||||
\(78\) | 9.92207 | + | 8.37045i | 1.12345 | + | 0.947767i | ||||
\(79\) | 0.531626 | − | 1.32794i | 0.0598126 | − | 0.149405i | −0.895451 | − | 0.445160i | \(-0.853147\pi\) |
0.955264 | + | 0.295755i | \(0.0955712\pi\) | |||||||
\(80\) | −3.92329 | + | 3.08531i | −0.438637 | + | 0.344948i | ||||
\(81\) | 4.82571 | − | 7.59687i | 0.536191 | − | 0.844097i | ||||
\(82\) | −17.6905 | + | 11.3690i | −1.95359 | + | 1.25549i | ||||
\(83\) | −0.251758 | + | 1.30624i | −0.0276340 | + | 0.143379i | −0.993125 | − | 0.117057i | \(-0.962654\pi\) |
0.965491 | + | 0.260436i | \(0.0838662\pi\) | |||||||
\(84\) | 0.247110 | − | 0.180937i | 0.0269619 | − | 0.0197418i | ||||
\(85\) | 19.4046 | + | 13.8180i | 2.10472 | + | 1.49877i | ||||
\(86\) | 5.41302 | − | 10.4998i | 0.583701 | − | 1.13222i | ||||
\(87\) | 1.43922 | − | 5.15257i | 0.154301 | − | 0.552413i | ||||
\(88\) | 14.1566 | − | 2.72846i | 1.50910 | − | 0.290855i | ||||
\(89\) | −0.746072 | − | 2.54089i | −0.0790835 | − | 0.269334i | 0.910454 | − | 0.413611i | \(-0.135733\pi\) |
−0.989537 | + | 0.144277i | \(0.953914\pi\) | |||||||
\(90\) | −25.9730 | − | 6.88599i | −2.73779 | − | 0.725847i | ||||
\(91\) | −0.0667780 | + | 0.146224i | −0.00700024 | + | 0.0153284i | ||||
\(92\) | −20.7517 | + | 2.98365i | −2.16352 | + | 0.311067i | ||||
\(93\) | 8.46781 | + | 3.73263i | 0.878071 | + | 0.387056i | ||||
\(94\) | −7.65588 | + | 6.63385i | −0.789643 | + | 0.684230i | ||||
\(95\) | −2.86834 | + | 1.14831i | −0.294285 | + | 0.117814i | ||||
\(96\) | 6.97313 | − | 0.0921919i | 0.711692 | − | 0.00940930i | ||||
\(97\) | −6.89586 | + | 3.98132i | −0.700168 | + | 0.404242i | −0.807410 | − | 0.589991i | \(-0.799131\pi\) |
0.107242 | + | 0.994233i | \(0.465798\pi\) | |||||||
\(98\) | −12.9132 | − | 10.1550i | −1.30443 | − | 1.02581i | ||||
\(99\) | 9.03985 | + | 8.17427i | 0.908539 | + | 0.821545i | ||||
\(100\) | 1.59661 | + | 33.5169i | 0.159661 | + | 3.35169i | ||||
\(101\) | 0.538182 | + | 11.2978i | 0.0535511 | + | 1.12418i | 0.852483 | + | 0.522755i | \(0.175096\pi\) |
−0.798932 | + | 0.601421i | \(0.794601\pi\) | |||||||
\(102\) | 7.47460 | + | 24.2648i | 0.740096 | + | 2.40257i | ||||
\(103\) | −1.84231 | − | 1.44881i | −0.181528 | − | 0.142755i | 0.523260 | − | 0.852173i | \(-0.324716\pi\) |
−0.704788 | + | 0.709418i | \(0.748958\pi\) | |||||||
\(104\) | 9.81133 | − | 5.66458i | 0.962080 | − | 0.555457i | ||||
\(105\) | −0.00439882 | − | 0.332714i | −0.000429281 | − | 0.0324696i | ||||
\(106\) | 21.3317 | − | 8.53992i | 2.07192 | − | 0.829470i | ||||
\(107\) | −10.6494 | + | 9.22776i | −1.02952 | + | 0.892081i | −0.994227 | − | 0.107296i | \(-0.965781\pi\) |
−0.0352894 | + | 0.999377i | \(0.511235\pi\) | |||||||
\(108\) | −11.1653 | − | 14.4321i | −1.07438 | − | 1.38873i | ||||
\(109\) | −4.80000 | + | 0.690136i | −0.459757 | + | 0.0661030i | −0.368302 | − | 0.929706i | \(-0.620061\pi\) |
−0.0914547 | + | 0.995809i | \(0.529152\pi\) | |||||||
\(110\) | 15.1158 | − | 33.0989i | 1.44123 | − | 3.15586i | ||||
\(111\) | 4.98065 | − | 4.87636i | 0.472742 | − | 0.462843i | ||||
\(112\) | −0.0185592 | − | 0.0632069i | −0.00175368 | − | 0.00597249i | ||||
\(113\) | 16.2574 | − | 3.13337i | 1.52937 | − | 0.294762i | 0.645964 | − | 0.763368i | \(-0.276455\pi\) |
0.883408 | + | 0.468605i | \(0.155243\pi\) | |||||||
\(114\) | −3.17165 | − | 0.885908i | −0.297052 | − | 0.0829729i | ||||
\(115\) | −10.4371 | + | 20.2452i | −0.973269 | + | 1.88788i | ||||
\(116\) | −8.83518 | − | 6.29151i | −0.820326 | − | 0.584152i | ||||
\(117\) | 8.81382 | + | 3.74679i | 0.814838 | + | 0.346391i | ||||
\(118\) | 0.376512 | − | 1.95353i | 0.0346607 | − | 0.179837i | ||||
\(119\) | −0.264499 | + | 0.169983i | −0.0242466 | + | 0.0155824i | ||||
\(120\) | −13.3490 | + | 19.2805i | −1.21859 | + | 1.76006i | ||||
\(121\) | −4.32658 | + | 3.40246i | −0.393325 | + | 0.309314i | ||||
\(122\) | −10.1843 | + | 25.4392i | −0.922045 | + | 2.30316i | ||||
\(123\) | −10.0038 | + | 11.8582i | −0.902016 | + | 1.06922i | ||||
\(124\) | 12.9472 | − | 13.5786i | 1.16269 | − | 1.21939i | ||||
\(125\) | 14.6205 | + | 9.39606i | 1.30770 | + | 0.840409i | ||||
\(126\) | 0.211782 | − | 0.284470i | 0.0188671 | − | 0.0253426i | ||||
\(127\) | 1.86204 | − | 0.959949i | 0.165229 | − | 0.0851817i | −0.373628 | − | 0.927579i | \(-0.621886\pi\) |
0.538858 | + | 0.842397i | \(0.318856\pi\) | |||||||
\(128\) | 6.63341 | − | 19.1660i | 0.586316 | − | 1.69405i | ||||
\(129\) | 1.53610 | − | 8.57882i | 0.135246 | − | 0.755323i | ||||
\(130\) | 2.71798 | − | 28.4640i | 0.238383 | − | 2.49646i | ||||
\(131\) | −0.351392 | + | 1.19673i | −0.0307013 | + | 0.104559i | −0.973418 | − | 0.229035i | \(-0.926443\pi\) |
0.942717 | + | 0.333594i | \(0.108261\pi\) | |||||||
\(132\) | 21.8111 | − | 11.6119i | 1.89842 | − | 1.01069i | ||||
\(133\) | − | 0.0407788i | − | 0.00353597i | ||||||
\(134\) | −18.9922 | + | 2.92799i | −1.64068 | + | 0.252940i | ||||
\(135\) | −19.8085 | + | 0.786034i | −1.70485 | + | 0.0676510i | ||||
\(136\) | 22.1336 | + | 1.05435i | 1.89794 | + | 0.0904099i | ||||
\(137\) | −7.23826 | − | 2.12534i | −0.618406 | − | 0.181580i | −0.0425003 | − | 0.999096i | \(-0.513532\pi\) |
−0.575906 | + | 0.817516i | \(0.695351\pi\) | |||||||
\(138\) | −21.9476 | + | 10.3760i | −1.86831 | + | 0.883260i | ||||
\(139\) | 15.0813 | + | 13.0680i | 1.27918 | + | 1.10841i | 0.988440 | + | 0.151611i | \(0.0484460\pi\) |
0.290737 | + | 0.956803i | \(0.406099\pi\) | |||||||
\(140\) | −0.637511 | − | 0.220645i | −0.0538796 | − | 0.0186479i | ||||
\(141\) | −3.95714 | + | 6.34018i | −0.333251 | + | 0.533939i | ||||
\(142\) | −22.0490 | − | 3.17016i | −1.85031 | − | 0.266034i | ||||
\(143\) | −7.01166 | + | 10.9104i | −0.586344 | + | 0.912370i | ||||
\(144\) | −3.73518 | + | 1.20489i | −0.311265 | + | 0.100407i | ||||
\(145\) | −11.1358 | + | 3.85413i | −0.924776 | + | 0.320068i | ||||
\(146\) | −6.27577 | − | 2.51244i | −0.519387 | − | 0.207931i | ||||
\(147\) | −11.3104 | − | 4.35539i | −0.932862 | − | 0.359227i | ||||
\(148\) | −5.87061 | − | 12.8548i | −0.482561 | − | 1.05666i | ||||
\(149\) | −8.69190 | − | 13.5249i | −0.712068 | − | 1.10800i | −0.989115 | − | 0.147143i | \(-0.952992\pi\) |
0.277047 | − | 0.960856i | \(-0.410644\pi\) | |||||||
\(150\) | 13.1926 | + | 36.5469i | 1.07717 | + | 2.98404i | ||||
\(151\) | 8.91615 | − | 0.851389i | 0.725586 | − | 0.0692851i | 0.274274 | − | 0.961651i | \(-0.411562\pi\) |
0.451312 | + | 0.892366i | \(0.350956\pi\) | |||||||
\(152\) | −1.66706 | + | 2.34106i | −0.135216 | + | 0.189885i | ||||
\(153\) | 10.5403 | + | 15.4851i | 0.852134 | + | 1.25189i | ||||
\(154\) | 0.331415 | + | 0.347578i | 0.0267062 | + | 0.0280086i | ||||
\(155\) | −3.85762 | − | 20.0152i | −0.309851 | − | 1.60766i | ||||
\(156\) | 13.2124 | − | 14.2287i | 1.05783 | − | 1.13921i | ||||
\(157\) | −4.65029 | − | 19.1688i | −0.371133 | − | 1.52983i | −0.785000 | − | 0.619495i | \(-0.787337\pi\) |
0.413867 | − | 0.910337i | \(-0.364178\pi\) | |||||||
\(158\) | −3.05466 | − | 1.39502i | −0.243016 | − | 0.110982i | ||||
\(159\) | 13.1856 | − | 10.6544i | 1.04569 | − | 0.844949i | ||||
\(160\) | −8.91020 | − | 12.5126i | −0.704413 | − | 0.989209i | ||||
\(161\) | −0.196868 | − | 0.227198i | −0.0155154 | − | 0.0179057i | ||||
\(162\) | −17.2758 | − | 12.1650i | −1.35731 | − | 0.955776i | ||||
\(163\) | 4.61758 | − | 7.99789i | 0.361677 | − | 0.626443i | −0.626560 | − | 0.779373i | \(-0.715538\pi\) |
0.988237 | + | 0.152930i | \(0.0488710\pi\) | |||||||
\(164\) | 15.7272 | + | 27.2402i | 1.22808 | + | 2.12711i | ||||
\(165\) | 3.46888 | − | 26.6203i | 0.270052 | − | 2.07239i | ||||
\(166\) | 3.03505 | + | 0.736295i | 0.235565 | + | 0.0571475i | ||||
\(167\) | 10.4167 | − | 0.496211i | 0.806072 | − | 0.0383979i | 0.359499 | − | 0.933145i | \(-0.382948\pi\) |
0.446572 | + | 0.894747i | \(0.352644\pi\) | |||||||
\(168\) | −0.170763 | − | 0.258144i | −0.0131747 | − | 0.0199163i | ||||
\(169\) | 0.662173 | − | 2.72951i | 0.0509364 | − | 0.209963i | ||||
\(170\) | 34.5711 | − | 43.9607i | 2.65148 | − | 3.37163i | ||||
\(171\) | −2.42866 | + | 0.0642301i | −0.185725 | + | 0.00491180i | ||||
\(172\) | −15.3023 | − | 8.83481i | −1.16679 | − | 0.673648i | ||||
\(173\) | 4.53963 | + | 11.3394i | 0.345142 | + | 0.862122i | 0.994795 | + | 0.101892i | \(0.0324896\pi\) |
−0.649654 | + | 0.760230i | \(0.725086\pi\) | |||||||
\(174\) | −11.9221 | − | 3.95059i | −0.903814 | − | 0.299493i | ||||
\(175\) | −0.391937 | + | 0.279097i | −0.0296276 | + | 0.0210978i | ||||
\(176\) | −0.756368 | − | 5.26066i | −0.0570134 | − | 0.396537i | ||||
\(177\) | −0.158825 | − | 1.45916i | −0.0119380 | − | 0.109677i | ||||
\(178\) | −6.04179 | + | 1.46572i | −0.452851 | + | 0.109861i | ||||
\(179\) | −3.85580 | + | 1.13216i | −0.288196 | + | 0.0846219i | −0.422635 | − | 0.906300i | \(-0.638895\pi\) |
0.134439 | + | 0.990922i | \(0.457077\pi\) | |||||||
\(180\) | −12.1368 | + | 38.3158i | −0.904625 | + | 2.85589i | ||||
\(181\) | 15.5101 | − | 14.7888i | 1.15286 | − | 1.09925i | 0.159147 | − | 0.987255i | \(-0.449125\pi\) |
0.993709 | − | 0.111992i | \(-0.0357230\pi\) | |||||||
\(182\) | 0.335438 | + | 0.172930i | 0.0248643 | + | 0.0128185i | ||||
\(183\) | −1.65548 | + | 20.1485i | −0.122376 | + | 1.48942i | ||||
\(184\) | 2.01396 | + | 21.0912i | 0.148471 | + | 1.55486i | ||||
\(185\) | −15.0760 | − | 2.90566i | −1.10841 | − | 0.213628i | ||||
\(186\) | 9.69903 | − | 19.4403i | 0.711167 | − | 1.42543i | ||||
\(187\) | −23.0741 | + | 10.5376i | −1.68734 | + | 0.770583i | ||||
\(188\) | 9.36667 | + | 11.9107i | 0.683134 | + | 0.868676i | ||||
\(189\) | 0.0875371 | − | 0.246571i | 0.00636739 | − | 0.0179354i | ||||
\(190\) | 2.37240 | + | 6.85459i | 0.172112 | + | 0.497285i | ||||
\(191\) | −11.7700 | − | 11.2227i | −0.851646 | − | 0.812043i | 0.132170 | − | 0.991227i | \(-0.457806\pi\) |
−0.983816 | + | 0.179184i | \(0.942654\pi\) | |||||||
\(192\) | 0.718530 | − | 20.8916i | 0.0518554 | − | 1.50772i | ||||
\(193\) | −0.627955 | + | 4.36752i | −0.0452012 | + | 0.314381i | 0.954660 | + | 0.297699i | \(0.0962193\pi\) |
−0.999861 | + | 0.0166818i | \(0.994690\pi\) | |||||||
\(194\) | 8.56599 | + | 16.6157i | 0.615002 | + | 1.19294i | ||||
\(195\) | −4.26582 | − | 20.6596i | −0.305482 | − | 1.47946i | ||||
\(196\) | −16.0915 | + | 18.5706i | −1.14939 | + | 1.32647i | ||||
\(197\) | 2.90701 | + | 0.277586i | 0.207116 | + | 0.0197772i | 0.198098 | − | 0.980182i | \(-0.436523\pi\) |
0.00901769 | + | 0.999959i | \(0.497130\pi\) | |||||||
\(198\) | 20.1787 | − | 20.2855i | 1.43404 | − | 1.44163i | ||||
\(199\) | −0.912802 | + | 19.1621i | −0.0647068 | + | 1.35836i | 0.700073 | + | 0.714071i | \(0.253151\pi\) |
−0.764780 | + | 0.644292i | \(0.777152\pi\) | |||||||
\(200\) | 33.9102 | 2.39781 | ||||||||
\(201\) | −12.7550 | + | 6.18945i | −0.899670 | + | 0.436570i | ||||
\(202\) | 26.5538 | 1.86832 | ||||||||
\(203\) | 0.00740039 | − | 0.155353i | 0.000519406 | − | 0.0109037i | ||||
\(204\) | 36.7856 | − | 9.44072i | 2.57551 | − | 0.660983i | ||||
\(205\) | 34.0184 | + | 3.24836i | 2.37595 | + | 0.226875i | ||||
\(206\) | −3.60329 | + | 4.15841i | −0.251053 | + | 0.289730i | ||||
\(207\) | −13.2211 | + | 12.0827i | −0.918932 | + | 0.839807i | ||||
\(208\) | −1.91373 | − | 3.71213i | −0.132694 | − | 0.257390i | ||||
\(209\) | 0.468215 | − | 3.25651i | 0.0323871 | − | 0.225257i | ||||
\(210\) | −0.780714 | − | 0.0268512i | −0.0538744 | − | 0.00185291i | ||||
\(211\) | 3.52183 | + | 3.35806i | 0.242453 | + | 0.231179i | 0.801556 | − | 0.597920i | \(-0.204006\pi\) |
−0.559103 | + | 0.829098i | \(0.688854\pi\) | |||||||
\(212\) | −11.2412 | − | 32.4792i | −0.772046 | − | 2.23068i | ||||
\(213\) | −16.2347 | + | 2.55370i | −1.11239 | + | 0.174976i | ||||
\(214\) | 20.4497 | + | 26.0039i | 1.39791 | + | 1.77759i | ||||
\(215\) | −17.4621 | + | 7.97468i | −1.19091 | + | 0.543869i | ||||
\(216\) | −15.1053 | + | 10.5767i | −1.02779 | + | 0.719656i | ||||
\(217\) | 0.264171 | + | 0.0509148i | 0.0179331 | + | 0.00345632i | ||||
\(218\) | 1.08219 | + | 11.3332i | 0.0732952 | + | 0.767582i | ||||
\(219\) | −4.97058 | − | 0.408401i | −0.335881 | − | 0.0275972i | ||||
\(220\) | −48.3769 | − | 24.9400i | −3.26157 | − | 1.68145i | ||||
\(221\) | −14.4263 | + | 13.7555i | −0.970419 | + | 0.925292i | ||||
\(222\) | −10.8788 | − | 12.2245i | −0.730138 | − | 0.820452i | ||||
\(223\) | 15.2638 | − | 4.48184i | 1.02214 | − | 0.300126i | 0.272627 | − | 0.962120i | \(-0.412107\pi\) |
0.749510 | + | 0.661993i | \(0.230289\pi\) | |||||||
\(224\) | 0.197026 | − | 0.0477980i | 0.0131643 | − | 0.00319364i | ||||
\(225\) | 17.2395 | + | 22.9030i | 1.14930 | + | 1.52687i | ||||
\(226\) | −5.53175 | − | 38.4741i | −0.367966 | − | 2.55926i | ||||
\(227\) | 2.52374 | − | 1.79715i | 0.167506 | − | 0.119281i | −0.493230 | − | 0.869899i | \(-0.664184\pi\) |
0.660736 | + | 0.750618i | \(0.270244\pi\) | |||||||
\(228\) | −1.54936 | + | 4.67566i | −0.102609 | + | 0.309653i | ||||
\(229\) | −6.39400 | − | 15.9715i | −0.422528 | − | 1.05542i | −0.975062 | − | 0.221933i | \(-0.928763\pi\) |
0.552534 | − | 0.833490i | \(-0.313661\pi\) | |||||||
\(230\) | 46.3097 | + | 26.7369i | 3.05357 | + | 1.76298i | ||||
\(231\) | 0.309164 | + | 0.173087i | 0.0203415 | + | 0.0113883i | ||||
\(232\) | −6.77578 | + | 8.61610i | −0.444851 | + | 0.565675i | ||||
\(233\) | 2.56243 | − | 10.5625i | 0.167870 | − | 0.691971i | −0.824201 | − | 0.566297i | \(-0.808375\pi\) |
0.992072 | − | 0.125674i | \(-0.0401094\pi\) | |||||||
\(234\) | 9.77088 | − | 20.2501i | 0.638742 | − | 1.32379i | ||||
\(235\) | 16.4436 | − | 0.783305i | 1.07266 | − | 0.0510972i | ||||
\(236\) | −2.89194 | − | 0.701578i | −0.188250 | − | 0.0456689i | ||||
\(237\) | −2.45676 | − | 0.320139i | −0.159583 | − | 0.0207953i | ||||
\(238\) | 0.369069 | + | 0.639246i | 0.0239232 | + | 0.0414362i | ||||
\(239\) | 2.53423 | − | 4.38941i | 0.163925 | − | 0.283927i | −0.772348 | − | 0.635200i | \(-0.780918\pi\) |
0.936273 | + | 0.351273i | \(0.114251\pi\) | |||||||
\(240\) | 6.86538 | + | 5.25361i | 0.443159 | + | 0.339119i | ||||
\(241\) | 4.89691 | + | 5.65133i | 0.315437 | + | 0.364034i | 0.891222 | − | 0.453567i | \(-0.149849\pi\) |
−0.575785 | + | 0.817601i | \(0.695303\pi\) | |||||||
\(242\) | 7.49554 | + | 10.5260i | 0.481831 | + | 0.676637i | ||||
\(243\) | −14.8229 | − | 4.82508i | −0.950890 | − | 0.309529i | ||||
\(244\) | 37.2835 | + | 17.0268i | 2.38683 | + | 1.09003i | ||||
\(245\) | 6.29391 | + | 25.9439i | 0.402103 | + | 1.65749i | ||||
\(246\) | 26.6904 | + | 24.7839i | 1.70172 | + | 1.58016i | ||||
\(247\) | −0.489274 | − | 2.53859i | −0.0311317 | − | 0.161527i | ||||
\(248\) | −13.0843 | − | 13.7224i | −0.830852 | − | 0.871373i | ||||
\(249\) | 2.29986 | − | 0.140050i | 0.145747 | − | 0.00887533i | ||||
\(250\) | 23.6672 | − | 33.2359i | 1.49685 | − | 2.10203i | ||||
\(251\) | −4.25821 | + | 0.406610i | −0.268776 | + | 0.0256650i | −0.228574 | − | 0.973527i | \(-0.573406\pi\) |
−0.0402022 | + | 0.999192i | \(0.512800\pi\) | |||||||
\(252\) | −0.409950 | − | 0.336667i | −0.0258245 | − | 0.0212080i | ||||
\(253\) | −13.1128 | − | 20.4039i | −0.824394 | − | 1.28278i | ||||
\(254\) | −2.04310 | − | 4.47377i | −0.128196 | − | 0.280709i | ||||
\(255\) | 14.8272 | − | 38.5042i | 0.928517 | − | 2.41123i | ||||
\(256\) | −21.7949 | − | 8.72536i | −1.36218 | − | 0.545335i | ||||
\(257\) | 7.08193 | − | 2.45108i | 0.441759 | − | 0.152894i | −0.0971290 | − | 0.995272i | \(-0.530966\pi\) |
0.538888 | + | 0.842378i | \(0.318845\pi\) | |||||||
\(258\) | −19.9459 | − | 4.56050i | −1.24178 | − | 0.283924i | ||||
\(259\) | 0.109557 | − | 0.170474i | 0.00680752 | − | 0.0105927i | ||||
\(260\) | −42.3342 | − | 6.08674i | −2.62546 | − | 0.377483i | ||||
\(261\) | −9.26404 | − | 0.196050i | −0.573430 | − | 0.0121352i | ||||
\(262\) | 2.76711 | + | 0.957707i | 0.170953 | + | 0.0591673i | ||||
\(263\) | 9.29444 | + | 8.05368i | 0.573120 | + | 0.496611i | 0.892519 | − | 0.451009i | \(-0.148936\pi\) |
−0.319400 | + | 0.947620i | \(0.603481\pi\) | |||||||
\(264\) | −10.6728 | − | 22.5755i | −0.656866 | − | 1.38943i | ||||
\(265\) | −35.8277 | − | 10.5200i | −2.20088 | − | 0.646236i | ||||
\(266\) | −0.0956273 | − | 0.00455529i | −0.00586329 | − | 0.000279303i | ||||
\(267\) | −3.94157 | + | 2.34568i | −0.241220 | + | 0.143554i | ||||
\(268\) | 3.02295 | + | 28.5844i | 0.184656 | + | 1.74607i | ||||
\(269\) | − | 16.0358i | − | 0.977717i | −0.872363 | − | 0.488859i | \(-0.837413\pi\) | ||
0.872363 | − | 0.488859i | \(-0.162587\pi\) | |||||||
\(270\) | −0.369488 | + | 46.5393i | −0.0224863 | + | 2.83229i | ||||
\(271\) | 1.58187 | − | 5.38735i | 0.0960917 | − | 0.327258i | −0.897392 | − | 0.441235i | \(-0.854541\pi\) |
0.993483 | + | 0.113976i | \(0.0363588\pi\) | |||||||
\(272\) | 0.776474 | − | 8.13161i | 0.0470807 | − | 0.493051i | ||||
\(273\) | 0.274069 | + | 0.0490739i | 0.0165874 | + | 0.00297009i | ||||
\(274\) | −5.79255 | + | 16.7365i | −0.349941 | + | 1.01109i | ||||
\(275\) | −34.5038 | + | 17.7879i | −2.08066 | + | 1.07265i | ||||
\(276\) | 13.9405 | + | 33.5301i | 0.839121 | + | 2.01828i | ||||
\(277\) | 14.6987 | + | 9.44628i | 0.883159 | + | 0.567572i | 0.901751 | − | 0.432255i | \(-0.142282\pi\) |
−0.0185920 | + | 0.999827i | \(0.505918\pi\) | |||||||
\(278\) | 32.3295 | − | 33.9062i | 1.93899 | − | 2.03356i | ||||
\(279\) | 2.61624 | − | 15.8134i | 0.156630 | − | 0.946725i | ||||
\(280\) | −0.253384 | + | 0.632923i | −0.0151426 | + | 0.0378244i | ||||
\(281\) | −24.0764 | + | 18.9339i | −1.43628 | + | 1.12950i | −0.466787 | + | 0.884370i | \(0.654588\pi\) |
−0.969490 | + | 0.245131i | \(0.921169\pi\) | |||||||
\(282\) | 14.4258 | + | 9.98783i | 0.859046 | + | 0.594767i | ||||
\(283\) | −23.3259 | + | 14.9907i | −1.38658 | + | 0.891102i | −0.999521 | − | 0.0309518i | \(-0.990146\pi\) |
−0.387061 | + | 0.922054i | \(0.626510\pi\) | |||||||
\(284\) | −6.30577 | + | 32.7174i | −0.374179 | + | 1.94142i | ||||
\(285\) | 3.16150 | + | 4.31774i | 0.187271 | + | 0.255761i | ||||
\(286\) | 24.8018 | + | 17.6613i | 1.46656 | + | 1.04433i | ||||
\(287\) | −0.206676 | + | 0.400895i | −0.0121997 | + | 0.0236641i | ||||
\(288\) | −3.15704 | − | 11.6590i | −0.186030 | − | 0.687013i | ||||
\(289\) | −21.5899 | + | 4.16111i | −1.26999 | + | 0.244771i | ||||
\(290\) | 7.79408 | + | 26.5442i | 0.457684 | + | 1.55873i | ||||
\(291\) | 9.64849 | + | 9.85484i | 0.565605 | + | 0.577701i | ||||
\(292\) | −4.20046 | + | 9.19773i | −0.245813 | + | 0.538256i | ||||
\(293\) | −19.2036 | + | 2.76106i | −1.12189 | + | 0.161303i | −0.678199 | − | 0.734878i | \(-0.737239\pi\) |
−0.443688 | + | 0.896181i | \(0.646330\pi\) | |||||||
\(294\) | −11.4770 | + | 26.0365i | −0.669350 | + | 1.51848i | ||||
\(295\) | −2.44338 | + | 2.11720i | −0.142259 | + | 0.123268i | ||||
\(296\) | −13.2586 | + | 5.30792i | −0.770638 | + | 0.308517i | ||||
\(297\) | 9.82161 | − | 18.6855i | 0.569907 | − | 1.08424i | ||||
\(298\) | −32.6871 | + | 18.8719i | −1.89351 | + | 1.09322i | ||||
\(299\) | −14.9815 | − | 11.7816i | −0.866405 | − | 0.681348i | ||||
\(300\) | 55.5432 | − | 17.1097i | 3.20679 | − | 0.987830i | ||||
\(301\) | −0.0120559 | − | 0.253083i | −0.000694888 | − | 0.0145875i | ||||
\(302\) | −1.00053 | − | 21.0037i | −0.0575740 | − | 1.20863i | ||||
\(303\) | 18.7224 | − | 5.76732i | 1.07558 | − | 0.331324i | ||||
\(304\) | 0.832791 | + | 0.654914i | 0.0477639 | + | 0.0375619i | ||||
\(305\) | 38.5644 | − | 22.2651i | 2.20819 | − | 1.27490i | ||||
\(306\) | 37.4903 | − | 22.9875i | 2.14318 | − | 1.31411i | ||||
\(307\) | −10.2813 | + | 4.11601i | −0.586785 | + | 0.234913i | −0.646007 | − | 0.763332i | \(-0.723562\pi\) |
0.0592221 | + | 0.998245i | \(0.481138\pi\) | |||||||
\(308\) | 0.542899 | − | 0.470424i | 0.0309345 | − | 0.0268049i | ||||
\(309\) | −1.63741 | + | 3.71461i | −0.0931488 | + | 0.211317i | ||||
\(310\) | −47.3671 | + | 6.81036i | −2.69027 | + | 0.386803i | ||||
\(311\) | 1.01586 | − | 2.22443i | 0.0576043 | − | 0.126136i | −0.878641 | − | 0.477483i | \(-0.841549\pi\) |
0.936245 | + | 0.351347i | \(0.114276\pi\) | |||||||
\(312\) | −13.7278 | − | 14.0213i | −0.777181 | − | 0.793802i | ||||
\(313\) | 0.542482 | + | 1.84752i | 0.0306629 | + | 0.104428i | 0.973403 | − | 0.229101i | \(-0.0735786\pi\) |
−0.942740 | + | 0.333529i | \(0.891760\pi\) | |||||||
\(314\) | −45.4707 | + | 8.76375i | −2.56606 | + | 0.494567i | ||||
\(315\) | −0.556294 | + | 0.150634i | −0.0313436 | + | 0.00848727i | ||||
\(316\) | −2.30168 | + | 4.46464i | −0.129480 | + | 0.251156i | ||||
\(317\) | 6.18995 | + | 4.40784i | 0.347662 | + | 0.247569i | 0.740526 | − | 0.672027i | \(-0.234576\pi\) |
−0.392864 | + | 0.919597i | \(0.628516\pi\) | |||||||
\(318\) | −23.5119 | − | 32.1108i | −1.31848 | − | 1.80069i | ||||
\(319\) | 2.37472 | − | 12.3212i | 0.132959 | − | 0.689855i | ||||
\(320\) | −38.7353 | + | 24.8937i | −2.16537 | + | 1.39160i | ||||
\(321\) | 20.0665 | + | 13.8932i | 1.12000 | + | 0.775441i | ||||
\(322\) | −0.554776 | + | 0.436281i | −0.0309164 | + | 0.0243130i | ||||
\(323\) | 1.87935 | − | 4.69439i | 0.104570 | − | 0.261203i | ||||
\(324\) | −19.4052 | + | 24.9457i | −1.07807 | + | 1.38587i | ||||
\(325\) | −21.0505 | + | 22.0771i | −1.16767 | + | 1.22462i | ||||
\(326\) | −18.2394 | − | 11.7218i | −1.01019 | − | 0.649209i | ||||
\(327\) | 3.22453 | + | 7.75573i | 0.178317 | + | 0.428893i | ||||
\(328\) | 28.2538 | − | 14.5658i | 1.56005 | − | 0.804264i | ||||
\(329\) | −0.0710644 | + | 0.205327i | −0.00391790 | + | 0.0113200i | ||||
\(330\) | −62.0378 | − | 11.1083i | −3.41507 | − | 0.611491i | ||||
\(331\) | 1.11276 | − | 11.6534i | 0.0611631 | − | 0.640529i | −0.911966 | − | 0.410267i | \(-0.865436\pi\) |
0.973129 | − | 0.230262i | \(-0.0739583\pi\) | |||||||
\(332\) | 1.31610 | − | 4.48222i | 0.0722303 | − | 0.245994i | ||||
\(333\) | −10.3255 | − | 6.25636i | −0.565832 | − | 0.342846i | ||||
\(334\) | − | 24.4830i | − | 1.33965i | ||||||
\(335\) | 27.2019 | + | 15.3385i | 1.48620 | + | 0.838032i | ||||
\(336\) | −0.0980501 | + | 0.0583510i | −0.00534907 | + | 0.00318331i | ||||
\(337\) | 11.7879 | + | 0.561525i | 0.642126 | + | 0.0305882i | 0.366120 | − | 0.930568i | \(-0.380686\pi\) |
0.276006 | + | 0.961156i | \(0.410989\pi\) | |||||||
\(338\) | −6.32681 | − | 1.85772i | −0.344133 | − | 0.101047i | ||||
\(339\) | −12.2566 | − | 25.9257i | −0.665689 | − | 1.40809i | ||||
\(340\) | −63.2206 | − | 54.7809i | −3.42862 | − | 2.97091i | ||||
\(341\) | 20.5115 | + | 7.09910i | 1.11076 | + | 0.384438i | ||||
\(342\) | −0.120678 | + | 5.70245i | −0.00652554 | + | 0.308353i | ||||
\(343\) | −0.697658 | − | 0.100308i | −0.0376700 | − | 0.00541613i | ||||
\(344\) | −9.65408 | + | 15.0220i | −0.520513 | + | 0.809934i | ||||
\(345\) | 38.4589 | + | 8.79336i | 2.07056 | + | 0.473418i | ||||
\(346\) | 27.0984 | − | 9.37884i | 1.45682 | − | 0.504210i | ||||
\(347\) | 17.0835 | + | 6.83919i | 0.917089 | + | 0.367147i | 0.781707 | − | 0.623646i | \(-0.214349\pi\) |
0.135383 | + | 0.990793i | \(0.456774\pi\) | |||||||
\(348\) | −6.75104 | + | 17.5315i | −0.361894 | + | 0.939788i | ||||
\(349\) | 7.99040 | + | 17.4965i | 0.427716 | + | 0.936568i | 0.993692 | + | 0.112146i | \(0.0357724\pi\) |
−0.565976 | + | 0.824422i | \(0.691500\pi\) | |||||||
\(350\) | 0.610707 | + | 0.950279i | 0.0326437 | + | 0.0507945i | ||||
\(351\) | 2.49101 | − | 16.4000i | 0.132960 | − | 0.875368i | ||||
\(352\) | 16.2829 | − | 1.55482i | 0.867880 | − | 0.0828724i | ||||
\(353\) | 4.90044 | − | 6.88171i | 0.260824 | − | 0.366277i | −0.663310 | − | 0.748345i | \(-0.730849\pi\) |
0.924134 | + | 0.382068i | \(0.124788\pi\) | |||||||
\(354\) | −3.43951 | + | 0.209450i | −0.182808 | + | 0.0111321i | ||||
\(355\) | 24.9806 | + | 26.1989i | 1.32583 | + | 1.39049i | ||||
\(356\) | 1.75991 | + | 9.13127i | 0.0932750 | + | 0.483956i | ||||
\(357\) | 0.399062 | + | 0.370557i | 0.0211206 | + | 0.0196120i | ||||
\(358\) | 2.22423 | + | 9.16841i | 0.117554 | + | 0.484565i | ||||
\(359\) | 19.8084 | + | 9.04617i | 1.04545 | + | 0.477439i | 0.862697 | − | 0.505721i | \(-0.168773\pi\) |
0.182748 | + | 0.983160i | \(0.441501\pi\) | |||||||
\(360\) | 38.0941 | + | 14.0939i | 2.00774 | + | 0.742813i | ||||
\(361\) | −10.6407 | − | 14.9427i | −0.560035 | − | 0.786459i | ||||
\(362\) | −32.9476 | − | 38.0236i | −1.73169 | − | 1.99848i | ||||
\(363\) | 7.57110 | + | 5.79365i | 0.397380 | + | 0.304088i | ||||
\(364\) | 0.282247 | − | 0.488866i | 0.0147938 | − | 0.0256235i | ||||
\(365\) | 5.49274 | + | 9.51371i | 0.287503 | + | 0.497970i | ||||
\(366\) | 47.0639 | + | 6.13287i | 2.46007 | + | 0.320570i | ||||
\(367\) | −2.17106 | − | 0.526694i | −0.113329 | − | 0.0274932i | 0.178694 | − | 0.983905i | \(-0.442813\pi\) |
−0.292022 | + | 0.956412i | \(0.594328\pi\) | |||||||
\(368\) | 7.80160 | − | 0.371636i | 0.406686 | − | 0.0193729i | ||||
\(369\) | 24.2016 | + | 11.6775i | 1.25989 | + | 0.607909i | ||||
\(370\) | −8.49793 | + | 35.0290i | −0.441786 | + | 1.82107i | ||||
\(371\) | 0.304651 | − | 0.387395i | 0.0158167 | − | 0.0201125i | ||||
\(372\) | −28.3551 | − | 15.8748i | −1.47015 | − | 0.823069i | ||||
\(373\) | −15.6413 | − | 9.03048i | −0.809874 | − | 0.467581i | 0.0370384 | − | 0.999314i | \(-0.488208\pi\) |
−0.846912 | + | 0.531733i | \(0.821541\pi\) | |||||||
\(374\) | 22.1333 | + | 55.2864i | 1.14449 | + | 2.85879i | ||||
\(375\) | 9.46853 | − | 28.5742i | 0.488953 | − | 1.47557i | ||||
\(376\) | 12.4736 | − | 8.88240i | 0.643276 | − | 0.458075i | ||||
\(377\) | −1.40327 | − | 9.75997i | −0.0722722 | − | 0.502664i | ||||
\(378\) | −0.568436 | − | 0.232821i | −0.0292372 | − | 0.0119750i | ||||
\(379\) | 21.8720 | − | 5.30608i | 1.12349 | − | 0.272555i | 0.369362 | − | 0.929286i | \(-0.379576\pi\) |
0.754125 | + | 0.656731i | \(0.228061\pi\) | |||||||
\(380\) | 10.4102 | − | 3.05671i | 0.534032 | − | 0.156806i | ||||
\(381\) | −2.41222 | − | 2.71059i | −0.123582 | − | 0.138868i | ||||
\(382\) | −27.6322 | + | 26.3472i | −1.41379 | + | 1.34804i | ||||
\(383\) | 15.4552 | + | 7.96771i | 0.789724 | + | 0.407131i | 0.805389 | − | 0.592746i | \(-0.201956\pi\) |
−0.0156651 | + | 0.999877i | \(0.504987\pi\) | |||||||
\(384\) | −35.0105 | − | 2.87659i | −1.78662 | − | 0.146795i | ||||
\(385\) | −0.0741865 | − | 0.776916i | −0.00378089 | − | 0.0395953i | ||||
\(386\) | 10.1718 | + | 1.96045i | 0.517731 | + | 0.0997845i | ||||
\(387\) | −15.0539 | + | 1.11664i | −0.765233 | + | 0.0567619i | ||||
\(388\) | 25.4349 | − | 11.6158i | 1.29126 | − | 0.589700i | ||||
\(389\) | −1.04986 | − | 1.33500i | −0.0532298 | − | 0.0676872i | 0.758709 | − | 0.651429i | \(-0.225830\pi\) |
−0.811939 | + | 0.583742i | \(0.801588\pi\) | |||||||
\(390\) | −48.9238 | + | 7.69562i | −2.47735 | + | 0.389683i | ||||
\(391\) | −12.1924 | − | 35.2276i | −0.616596 | − | 1.78154i | ||||
\(392\) | 17.9722 | + | 17.1365i | 0.907735 | + | 0.865523i | ||||
\(393\) | 2.15903 | + | 0.0742559i | 0.108909 | + | 0.00374572i | ||||
\(394\) | 0.975680 | − | 6.78601i | 0.0491541 | − | 0.341874i | ||||
\(395\) | 2.50063 | + | 4.85055i | 0.125820 | + | 0.244058i | ||||
\(396\) | −28.8722 | − | 31.5925i | −1.45088 | − | 1.58758i | ||||
\(397\) | 6.51559 | − | 7.51939i | 0.327008 | − | 0.377388i | −0.568310 | − | 0.822814i | \(-0.692403\pi\) |
0.895318 | + | 0.445427i | \(0.146948\pi\) | |||||||
\(398\) | 44.8336 | + | 4.28109i | 2.24730 | + | 0.214591i | ||||
\(399\) | −0.0684139 | + | 0.0175578i | −0.00342498 | + | 0.000878991i | ||||
\(400\) | 0.594807 | − | 12.4865i | 0.0297404 | − | 0.624327i | ||||
\(401\) | −7.63352 | −0.381200 | −0.190600 | − | 0.981668i | \(-0.561043\pi\) | ||||
−0.190600 | + | 0.981668i | \(0.561043\pi\) | |||||||
\(402\) | 13.0896 | + | 30.6023i | 0.652849 | + | 1.52630i | ||||
\(403\) | 17.0563 | 0.849632 | ||||||||
\(404\) | 1.88989 | − | 39.6737i | 0.0940256 | − | 1.97384i | ||||
\(405\) | 9.84753 | + | 32.8940i | 0.489328 | + | 1.63451i | ||||
\(406\) | −0.363481 | − | 0.0347082i | −0.0180393 | − | 0.00172254i | ||||
\(407\) | 10.7063 | − | 12.3557i | 0.530692 | − | 0.612451i | ||||
\(408\) | −7.76102 | − | 37.5870i | −0.384228 | − | 1.86084i | ||||
\(409\) | −5.31913 | − | 10.3177i | −0.263014 | − | 0.510176i | 0.719938 | − | 0.694038i | \(-0.244170\pi\) |
−0.982952 | + | 0.183862i | \(0.941140\pi\) | |||||||
\(410\) | 11.4176 | − | 79.4111i | 0.563875 | − | 3.92183i | ||||
\(411\) | −0.449126 | + | 13.0586i | −0.0221538 | + | 0.644133i | ||||
\(412\) | 5.95658 | + | 5.67958i | 0.293459 | + | 0.279813i | ||||
\(413\) | −0.0139564 | − | 0.0403245i | −0.000686752 | − | 0.00198424i | ||||
\(414\) | 26.8574 | + | 32.3536i | 1.31997 | + | 1.59009i | ||||
\(415\) | −3.13730 | − | 3.98940i | −0.154004 | − | 0.195832i | ||||
\(416\) | 11.6919 | − | 5.33952i | 0.573243 | − | 0.261791i | ||||
\(417\) | 15.4305 | − | 30.9282i | 0.755635 | − | 1.51456i | ||||
\(418\) | −7.58429 | − | 1.46175i | −0.370960 | − | 0.0714966i | ||||
\(419\) | −2.40144 | − | 25.1491i | −0.117318 | − | 1.22861i | −0.841981 | − | 0.539508i | \(-0.818610\pi\) |
0.724662 | − | 0.689104i | \(-0.241996\pi\) | |||||||
\(420\) | −0.0956831 | + | 1.16454i | −0.00466886 | + | 0.0568239i | ||||
\(421\) | −12.7938 | − | 6.59566i | −0.623531 | − | 0.321453i | 0.117348 | − | 0.993091i | \(-0.462561\pi\) |
−0.740879 | + | 0.671638i | \(0.765591\pi\) | |||||||
\(422\) | 8.26815 | − | 7.88367i | 0.402487 | − | 0.383771i | ||||
\(423\) | 12.3406 | + | 3.90897i | 0.600020 | + | 0.190061i | ||||
\(424\) | −33.3265 | + | 9.78554i | −1.61848 | + | 0.475228i | ||||
\(425\) | −57.9818 | + | 14.0662i | −2.81253 | + | 0.682312i | ||||
\(426\) | 4.17494 | + | 38.3561i | 0.202277 | + | 1.85836i | ||||
\(427\) | 0.0836431 | + | 0.581751i | 0.00404778 | + | 0.0281529i | ||||
\(428\) | 40.3076 | − | 28.7029i | 1.94834 | − | 1.38741i | ||||
\(429\) | 21.3231 | + | 7.06574i | 1.02949 | + | 0.341137i | ||||
\(430\) | 16.7502 | + | 41.8399i | 0.807766 | + | 2.01770i | ||||
\(431\) | 32.9271 | + | 19.0104i | 1.58604 | + | 0.915701i | 0.993950 | + | 0.109829i | \(0.0350305\pi\) |
0.592090 | + | 0.805872i | \(0.298303\pi\) | |||||||
\(432\) | 3.62965 | + | 5.74767i | 0.174632 | + | 0.276535i | ||||
\(433\) | −0.960304 | + | 1.22113i | −0.0461493 | + | 0.0586836i | −0.808580 | − | 0.588386i | \(-0.799763\pi\) |
0.762431 | + | 0.647070i | \(0.224006\pi\) | |||||||
\(434\) | 0.148906 | − | 0.613800i | 0.00714773 | − | 0.0294633i | ||||
\(435\) | 11.2607 | + | 17.0228i | 0.539907 | + | 0.816183i | ||||
\(436\) | 17.0098 | − | 0.810278i | 0.814623 | − | 0.0388053i | ||||
\(437\) | 4.69861 | + | 1.13987i | 0.224765 | + | 0.0545274i | ||||
\(438\) | −1.51296 | + | 11.6105i | −0.0722920 | + | 0.554772i | ||||
\(439\) | 8.68285 | + | 15.0391i | 0.414410 | + | 0.717779i | 0.995366 | − | 0.0961555i | \(-0.0306546\pi\) |
−0.580956 | + | 0.813935i | \(0.697321\pi\) | |||||||
\(440\) | −27.5018 | + | 47.6345i | −1.31110 | + | 2.27089i | ||||
\(441\) | −2.43715 | + | 20.8504i | −0.116055 | + | 0.992878i | ||||
\(442\) | 30.6454 | + | 35.3666i | 1.45765 | + | 1.68222i | ||||
\(443\) | 18.3899 | + | 25.8250i | 0.873729 | + | 1.22698i | 0.972741 | + | 0.231894i | \(0.0744924\pi\) |
−0.0990120 | + | 0.995086i | \(0.531568\pi\) | |||||||
\(444\) | −19.0387 | + | 15.3838i | −0.903535 | + | 0.730085i | ||||
\(445\) | 9.19012 | + | 4.19699i | 0.435654 | + | 0.198956i | ||||
\(446\) | −8.80496 | − | 36.2946i | −0.416927 | − | 1.71860i | ||||
\(447\) | −18.9480 | + | 20.4055i | −0.896209 | + | 0.965149i | ||||
\(448\) | −0.115012 | − | 0.596740i | −0.00543381 | − | 0.0281933i | ||||
\(449\) | −13.4610 | − | 14.1175i | −0.635266 | − | 0.666248i | 0.324877 | − | 0.945756i | \(-0.394677\pi\) |
−0.960143 | + | 0.279508i | \(0.909829\pi\) | |||||||
\(450\) | 55.6339 | − | 37.8687i | 2.62261 | − | 1.78515i | ||||
\(451\) | −21.1077 | + | 29.6416i | −0.993921 | + | 1.39577i | ||||
\(452\) | −57.8774 | + | 5.52662i | −2.72232 | + | 0.259950i | ||||
\(453\) | −5.26732 | − | 14.5919i | −0.247480 | − | 0.685586i | ||||
\(454\) | −3.93243 | − | 6.11898i | −0.184558 | − | 0.287178i | ||||
\(455\) | −0.254768 | − | 0.557865i | −0.0119437 | − | 0.0261531i | ||||
\(456\) | 4.64532 | + | 1.78882i | 0.217537 | + | 0.0837693i | ||||
\(457\) | 3.75388 | + | 1.50283i | 0.175599 | + | 0.0702993i | 0.457796 | − | 0.889057i | \(-0.348639\pi\) |
−0.282197 | + | 0.959356i | \(0.591063\pi\) | |||||||
\(458\) | −38.1677 | + | 13.2100i | −1.78346 | + | 0.617261i | ||||
\(459\) | 21.4407 | − | 24.3506i | 1.00077 | − | 1.13659i | ||||
\(460\) | 43.2432 | − | 67.2877i | 2.01622 | − | 3.13731i | ||||
\(461\) | −23.5992 | − | 3.39305i | −1.09912 | − | 0.158030i | −0.431197 | − | 0.902258i | \(-0.641909\pi\) |
−0.667926 | + | 0.744228i | \(0.732818\pi\) | |||||||
\(462\) | 0.440430 | − | 0.705663i | 0.0204907 | − | 0.0328304i | ||||
\(463\) | 20.4926 | + | 7.09255i | 0.952371 | + | 0.329619i | 0.758694 | − | 0.651447i | \(-0.225838\pi\) |
0.193676 | + | 0.981065i | \(0.437959\pi\) | |||||||
\(464\) | 3.05380 | + | 2.64613i | 0.141769 | + | 0.122844i | ||||
\(465\) | −31.9182 | + | 15.0897i | −1.48017 | + | 0.699766i | ||||
\(466\) | −24.4831 | − | 7.18887i | −1.13416 | − | 0.333018i | ||||
\(467\) | 29.4395 | + | 1.40237i | 1.36230 | + | 0.0648942i | 0.715951 | − | 0.698151i | \(-0.245993\pi\) |
0.646345 | + | 0.763045i | \(0.276297\pi\) | |||||||
\(468\) | −29.5600 | − | 16.0398i | −1.36641 | − | 0.741439i | ||||
\(469\) | −0.321379 | + | 0.258065i | −0.0148399 | + | 0.0119163i | ||||
\(470\) | − | 38.6482i | − | 1.78271i | ||||||
\(471\) | −30.1568 | + | 16.0551i | −1.38955 | + | 0.739778i | ||||
\(472\) | −0.847266 | + | 2.88552i | −0.0389986 | + | 0.132817i | ||||
\(473\) | 1.94310 | − | 20.3491i | 0.0893440 | − | 0.935653i | ||||
\(474\) | −1.02517 | + | 5.72539i | −0.0470877 | + | 0.262976i | ||||
\(475\) | 2.53095 | − | 7.31271i | 0.116128 | − | 0.335530i | ||||
\(476\) | 0.981356 | − | 0.505924i | 0.0449804 | − | 0.0231890i | ||||
\(477\) | −23.5519 | − | 17.5339i | −1.07837 | − | 0.802822i | ||||
\(478\) | −10.0102 | − | 6.43315i | −0.457855 | − | 0.294246i | ||||
\(479\) | −17.6194 | + | 18.4787i | −0.805050 | + | 0.844313i | −0.990382 | − | 0.138364i | \(-0.955816\pi\) |
0.185331 | + | 0.982676i | \(0.440664\pi\) | |||||||
\(480\) | −17.1558 | + | 20.3359i | −0.783051 | + | 0.928204i | ||||
\(481\) | 4.77482 | − | 11.9269i | 0.217713 | − | 0.543821i | ||||
\(482\) | 13.7995 | − | 10.8521i | 0.628551 | − | 0.494298i | ||||
\(483\) | −0.296401 | + | 0.428105i | −0.0134867 | + | 0.0194794i | ||||
\(484\) | 16.2602 | − | 10.4498i | 0.739102 | − | 0.474992i | ||||
\(485\) | 5.74921 | − | 29.8297i | 0.261058 | − | 1.35450i | ||||
\(486\) | −12.9708 | + | 34.2211i | −0.588366 | + | 1.55230i | ||||
\(487\) | −32.9599 | − | 23.4706i | −1.49356 | − | 1.06356i | −0.978463 | − | 0.206421i | \(-0.933818\pi\) |
−0.515092 | − | 0.857135i | \(-0.672242\pi\) | |||||||
\(488\) | 18.9804 | − | 36.8169i | 0.859204 | − | 1.66662i | ||||
\(489\) | −15.4061 | − | 4.30324i | −0.696687 | − | 0.194599i | ||||
\(490\) | 61.5421 | − | 11.8613i | 2.78019 | − | 0.535837i | ||||
\(491\) | −1.96004 | − | 6.67529i | −0.0884554 | − | 0.301251i | 0.903369 | − | 0.428865i | \(-0.141086\pi\) |
−0.991824 | + | 0.127614i | \(0.959268\pi\) | |||||||
\(492\) | 38.9289 | − | 38.1138i | 1.75505 | − | 1.71830i | ||||
\(493\) | 8.01161 | − | 17.5430i | 0.360825 | − | 0.790096i | ||||
\(494\) | −6.00772 | + | 0.863780i | −0.270300 | + | 0.0388633i | ||||
\(495\) | −46.1540 | + | 5.64204i | −2.07447 | + | 0.253591i | ||||
\(496\) | −5.28242 | + | 4.57724i | −0.237187 | + | 0.205524i | ||||
\(497\) | −0.443556 | + | 0.177573i | −0.0198962 | + | 0.00796524i | ||||
\(498\) | −0.0715108 | − | 5.40886i | −0.00320447 | − | 0.242377i | ||||
\(499\) | 3.53976 | − | 2.04368i | 0.158461 | − | 0.0914877i | −0.418672 | − | 0.908137i | \(-0.637504\pi\) |
0.577134 | + | 0.816650i | \(0.304171\pi\) | |||||||
\(500\) | −47.9729 | − | 37.7263i | −2.14541 | − | 1.68717i | ||||
\(501\) | −5.31755 | − | 17.2623i | −0.237570 | − | 0.771224i | ||||
\(502\) | 0.477837 | + | 10.0310i | 0.0213269 | + | 0.447707i | ||||
\(503\) | −0.121612 | − | 2.55296i | −0.00542243 | − | 0.113831i | −0.999956 | − | 0.00941082i | \(-0.997004\pi\) |
0.994533 | − | 0.104420i | \(-0.0332986\pi\) | |||||||
\(504\) | −0.359560 | + | 0.397634i | −0.0160161 | + | 0.0177120i | ||||
\(505\) | −33.9196 | − | 26.6747i | −1.50940 | − | 1.18701i | ||||
\(506\) | −49.3125 | + | 28.4706i | −2.19221 | + | 1.26567i | ||||
\(507\) | −4.86436 | + | 0.0643119i | −0.216034 | + | 0.00285619i | ||||
\(508\) | −6.82961 | + | 2.73416i | −0.303015 | + | 0.121309i | ||||
\(509\) | 6.48686 | − | 5.62090i | 0.287525 | − | 0.249142i | −0.499141 | − | 0.866521i | \(-0.666351\pi\) |
0.786666 | + | 0.617379i | \(0.211805\pi\) | |||||||
\(510\) | −88.6371 | − | 39.0714i | −3.92492 | − | 1.73011i | ||||
\(511\) | −0.143516 | + | 0.0206345i | −0.00634878 | + | 0.000912817i | ||||
\(512\) | −6.04541 | + | 13.2376i | −0.267172 | + | 0.585025i | ||||
\(513\) | 1.15345 | + | 4.04687i | 0.0509261 | + | 0.178674i | ||||
\(514\) | −4.95674 | − | 16.8811i | −0.218632 | − | 0.744594i | ||||
\(515\) | 8.78015 | − | 1.69224i | 0.386900 | − | 0.0745688i | ||||
\(516\) | −8.23338 | + | 29.4764i | −0.362454 | + | 1.29763i | ||||
\(517\) | −8.03257 | + | 15.5810i | −0.353272 | + | 0.685252i | ||||
\(518\) | −0.387526 | − | 0.275956i | −0.0170269 | − | 0.0121248i | ||||
\(519\) | 17.0694 | − | 12.4984i | 0.749263 | − | 0.548619i | ||||
\(520\) | −8.17990 | + | 42.4414i | −0.358712 | + | 1.86118i | ||||
\(521\) | 22.5160 | − | 14.4701i | 0.986442 | − | 0.633948i | 0.0552485 | − | 0.998473i | \(-0.482405\pi\) |
0.931194 | + | 0.364525i | \(0.118769\pi\) | |||||||
\(522\) | −1.49460 | + | 21.7025i | −0.0654171 | + | 0.949893i | ||||
\(523\) | −10.7824 | + | 8.47934i | −0.471480 | + | 0.370776i | −0.825445 | − | 0.564483i | \(-0.809076\pi\) |
0.353965 | + | 0.935259i | \(0.384833\pi\) | |||||||
\(524\) | 1.62784 | − | 4.06614i | 0.0711124 | − | 0.177630i | ||||
\(525\) | 0.636989 | + | 0.537377i | 0.0278005 | + | 0.0234530i | ||||
\(526\) | 19.9243 | − | 20.8960i | 0.868742 | − | 0.911111i | ||||
\(527\) | 28.0645 | + | 18.0359i | 1.22251 | + | 0.785657i | ||||
\(528\) | −8.50004 | + | 3.53399i | −0.369917 | + | 0.153797i | ||||
\(529\) | 11.2379 | − | 5.79354i | 0.488604 | − | 0.251893i | ||||
\(530\) | −28.6718 | + | 82.8417i | −1.24542 | + | 3.59841i | ||||
\(531\) | −2.37962 | + | 0.894719i | −0.103267 | + | 0.0388275i | ||||
\(532\) | −0.0136120 | + | 0.142551i | −0.000590155 | + | 0.00618038i | ||||
\(533\) | −8.05610 | + | 27.4366i | −0.348948 | + | 1.18841i | ||||
\(534\) | 5.06038 | + | 9.50511i | 0.218984 | + | 0.411326i | ||||
\(535\) | − | 53.7600i | − | 2.32425i | ||||||
\(536\) | 28.9998 | − | 1.67699i | 1.25260 | − | 0.0724350i | ||||
\(537\) | 3.55957 | + | 5.98133i | 0.153607 | + | 0.258113i | ||||
\(538\) | −37.6042 | − | 1.79131i | −1.62123 | − | 0.0772289i | ||||
\(539\) | −27.2759 | − | 8.00893i | −1.17486 | − | 0.344969i | ||||
\(540\) | 69.5074 | + | 3.86435i | 2.99112 | + | 0.166295i | ||||
\(541\) | −8.45856 | − | 7.32939i | −0.363662 | − | 0.315115i | 0.453793 | − | 0.891107i | \(-0.350070\pi\) |
−0.817455 | + | 0.575992i | \(0.804616\pi\) | |||||||
\(542\) | −12.4568 | − | 4.31133i | −0.535064 | − | 0.185188i | ||||
\(543\) | −31.4891 | − | 19.6535i | −1.35132 | − | 0.843412i | ||||
\(544\) | 24.8842 | + | 3.57780i | 1.06690 | + | 0.153397i | ||||
\(545\) | 10.0024 | − | 15.5641i | 0.428457 | − | 0.666692i | ||||
\(546\) | 0.145695 | − | 0.637216i | 0.00623517 | − | 0.0272703i | ||||
\(547\) | 25.4548 | − | 8.81000i | 1.08837 | − | 0.376689i | 0.276790 | − | 0.960930i | \(-0.410729\pi\) |
0.811580 | + | 0.584242i | \(0.198608\pi\) | |||||||
\(548\) | 24.5935 | + | 9.84574i | 1.05058 | + | 0.420589i | ||||
\(549\) | 34.5156 | − | 5.89784i | 1.47309 | − | 0.251714i | ||||
\(550\) | 37.8588 | + | 82.8992i | 1.61430 | + | 3.53483i | ||||
\(551\) | 1.35233 | + | 2.10427i | 0.0576113 | + | 0.0896449i | ||||
\(552\) | 34.5171 | − | 12.4599i | 1.46915 | − | 0.530327i | ||||
\(553\) | −0.0717007 | + | 0.00684659i | −0.00304902 | + | 0.000291146i | ||||
\(554\) | 23.7937 | − | 33.4136i | 1.01090 | − | 1.41961i | ||||
\(555\) | 1.61639 | + | 26.5438i | 0.0686119 | + | 1.12672i | ||||
\(556\) | −48.3578 | − | 50.7162i | −2.05083 | − | 2.15085i | ||||
\(557\) | 0.852373 | + | 4.42253i | 0.0361162 | + | 0.187389i | 0.995506 | − | 0.0946934i | \(-0.0301871\pi\) |
−0.959390 | + | 0.282082i | \(0.908975\pi\) | |||||||
\(558\) | −36.7906 | − | 7.90162i | −1.55747 | − | 0.334502i | ||||
\(559\) | −3.78706 | − | 15.6105i | −0.160176 | − | 0.660254i | ||||
\(560\) | 0.228613 | + | 0.104404i | 0.00966065 | + | 0.00441187i | ||||
\(561\) | 27.6135 | + | 34.1738i | 1.16584 | + | 1.44282i | ||||
\(562\) | 41.7109 | + | 58.5748i | 1.75947 | + | 2.47083i | ||||
\(563\) | 8.03150 | + | 9.26884i | 0.338487 | + | 0.390635i | 0.899318 | − | 0.437295i | \(-0.144064\pi\) |
−0.560831 | + | 0.827931i | \(0.689518\pi\) | |||||||
\(564\) | 15.9494 | − | 20.8426i | 0.671591 | − | 0.877631i | ||||
\(565\) | −31.5831 | + | 54.7035i | −1.32871 | + | 2.30139i | ||||
\(566\) | 32.5478 | + | 56.3744i | 1.36809 | + | 2.36959i | ||||
\(567\) | −0.451358 | − | 0.0406952i | −0.0189552 | − | 0.00170904i | ||||
\(568\) | 32.7232 | + | 7.93857i | 1.37304 | + | 0.333095i | ||||
\(569\) | −34.7150 | + | 1.65368i | −1.45533 | + | 0.0693257i | −0.760260 | − | 0.649619i | \(-0.774928\pi\) |
−0.695067 | + | 0.718945i | \(0.744625\pi\) | |||||||
\(570\) | 10.4784 | − | 6.93146i | 0.438890 | − | 0.290327i | ||||
\(571\) | −9.79593 | + | 40.3794i | −0.409947 | + | 1.68982i | 0.275173 | + | 0.961395i | \(0.411265\pi\) |
−0.685120 | + | 0.728430i | \(0.740250\pi\) | |||||||
\(572\) | 28.1527 | − | 35.7990i | 1.17712 | − | 1.49683i | ||||
\(573\) | −13.7603 | + | 24.5783i | −0.574846 | + | 1.02677i | ||||
\(574\) | 0.917021 | + | 0.529443i | 0.0382757 | + | 0.0220985i | ||||
\(575\) | −21.2025 | − | 52.9612i | −0.884204 | − | 2.20863i | ||||
\(576\) | −35.3589 | + | 7.78970i | −1.47329 | + | 0.324571i | ||||
\(577\) | 16.9542 | − | 12.0731i | 0.705814 | − | 0.502608i | −0.169886 | − | 0.985464i | \(-0.554340\pi\) |
0.875700 | + | 0.482856i | \(0.160400\pi\) | |||||||
\(578\) | 7.34616 | + | 51.0937i | 0.305560 | + | 2.12522i | ||||
\(579\) | 7.59769 | − | 0.826985i | 0.315749 | − | 0.0343683i | ||||
\(580\) | 40.2141 | − | 9.75583i | 1.66980 | − | 0.405089i | ||||
\(581\) | 0.0642720 | − | 0.0188720i | 0.00266645 | − | 0.000782941i | ||||
\(582\) | 24.1877 | − | 21.5251i | 1.00261 | − | 0.892244i | ||||
\(583\) | 28.7767 | − | 27.4386i | 1.19181 | − | 1.13639i | ||||
\(584\) | 9.08262 | + | 4.68241i | 0.375841 | + | 0.193760i | ||||
\(585\) | −32.8235 | + | 16.0519i | −1.35708 | + | 0.663666i | ||||
\(586\) | 4.32958 | + | 45.3414i | 0.178853 | + | 1.87303i | ||||
\(587\) | −33.2973 | − | 6.41752i | −1.37433 | − | 0.264880i | −0.551975 | − | 0.833861i | \(-0.686126\pi\) |
−0.822351 | + | 0.568981i | \(0.807338\pi\) | |||||||
\(588\) | 38.0840 | + | 19.0006i | 1.57056 | + | 0.783573i | ||||
\(589\) | −3.93579 | + | 1.79742i | −0.162172 | + | 0.0740613i | ||||
\(590\) | 4.69194 | + | 5.96628i | 0.193164 | + | 0.245628i | ||||
\(591\) | −0.785950 | − | 4.99656i | −0.0323297 | − | 0.205531i | ||||
\(592\) | 1.72194 | + | 4.97522i | 0.0707713 | + | 0.204480i | ||||
\(593\) | 7.51655 | + | 7.16702i | 0.308668 | + | 0.294314i | 0.828540 | − | 0.559930i | \(-0.189172\pi\) |
−0.519872 | + | 0.854244i | \(0.674020\pi\) | |||||||
\(594\) | −42.7209 | − | 25.1192i | −1.75286 | − | 1.03065i | ||||
\(595\) | 0.170710 | − | 1.18732i | 0.00699844 | − | 0.0486752i | ||||
\(596\) | 25.8698 | + | 50.1805i | 1.05967 | + | 2.05547i | ||||
\(597\) | 32.5409 | − | 6.71908i | 1.33181 | − | 0.274994i | ||||
\(598\) | −29.3017 | + | 33.8160i | −1.19824 | + | 1.38284i | ||||
\(599\) | −36.3882 | − | 3.47465i | −1.48678 | − | 0.141970i | −0.680171 | − | 0.733054i | \(-0.738094\pi\) |
−0.806610 | + | 0.591084i | \(0.798700\pi\) | |||||||
\(600\) | −14.6005 | − | 56.8905i | −0.596062 | − | 2.32255i | ||||
\(601\) | −2.06928 | + | 43.4395i | −0.0844077 | + | 1.77193i | 0.419096 | + | 0.907942i | \(0.362347\pi\) |
−0.503504 | + | 0.863993i | \(0.667956\pi\) | |||||||
\(602\) | −0.594834 | −0.0242436 | ||||||||
\(603\) | 15.8758 | + | 18.7339i | 0.646511 | + | 0.762904i | ||||
\(604\) | −31.4525 | −1.27979 | ||||||||
\(605\) | 0.999186 | − | 20.9755i | 0.0406227 | − | 0.852775i | ||||
\(606\) | −11.4331 | − | 44.5488i | −0.464437 | − | 1.80967i | ||||
\(607\) | −9.17384 | − | 0.875995i | −0.372355 | − | 0.0355555i | −0.0927985 | − | 0.995685i | \(-0.529581\pi\) |
−0.279556 | + | 0.960129i | \(0.590187\pi\) | |||||||
\(608\) | −2.13527 | + | 2.46423i | −0.0865965 | + | 0.0999376i | ||||
\(609\) | −0.263820 | + | 0.0544739i | −0.0106905 | + | 0.00220739i | ||||
\(610\) | −47.9044 | − | 92.9216i | −1.93959 | − | 3.76228i | ||||
\(611\) | −1.96039 | + | 13.6348i | −0.0793089 | + | 0.551606i | ||||
\(612\) | −31.6771 | − | 57.6498i | −1.28047 | − | 2.33035i | ||||
\(613\) | 10.4106 | + | 9.92646i | 0.420479 | + | 0.400926i | 0.870560 | − | 0.492062i | \(-0.163757\pi\) |
−0.450081 | + | 0.892988i | \(0.648605\pi\) | |||||||
\(614\) | 8.50365 | + | 24.5697i | 0.343179 | + | 0.991552i | ||||
\(615\) | −9.19733 | − | 58.4706i | −0.370872 | − | 2.35776i | ||||
\(616\) | −0.448762 | − | 0.570647i | −0.0180811 | − | 0.0229920i | ||||
\(617\) | 10.0222 | − | 4.57697i | 0.403477 | − | 0.184262i | −0.203331 | − | 0.979110i | \(-0.565177\pi\) |
0.606808 | + | 0.794848i | \(0.292449\pi\) | |||||||
\(618\) | 8.52794 | + | 4.25471i | 0.343044 | + | 0.171150i | ||||
\(619\) | 22.9914 | + | 4.43122i | 0.924101 | + | 0.178106i | 0.629040 | − | 0.777373i | \(-0.283448\pi\) |
0.295061 | + | 0.955478i | \(0.404660\pi\) | |||||||
\(620\) | 6.80405 | + | 71.2553i | 0.273257 | + | 2.86168i | ||||
\(621\) | 25.9635 | + | 16.9785i | 1.04188 | + | 0.681323i | ||||
\(622\) | −5.10287 | − | 2.63071i | −0.204606 | − | 0.105482i | ||||
\(623\) | −0.0965071 | + | 0.0920193i | −0.00386648 | + | 0.00368668i | ||||
\(624\) | −5.40378 | + | 4.80894i | −0.216324 | + | 0.192512i | ||||
\(625\) | −17.7779 | + | 5.22006i | −0.711116 | + | 0.208803i | ||||
\(626\) | 4.39309 | − | 1.06575i | 0.175583 | − | 0.0425960i | ||||
\(627\) | −5.66498 | + | 0.616615i | −0.226237 | + | 0.0246252i | ||||
\(628\) | 9.85756 | + | 68.5608i | 0.393360 | + | 2.73588i | ||||
\(629\) | 20.4685 | − | 14.5756i | 0.816133 | − | 0.581166i | ||||
\(630\) | 0.291099 | + | 1.32135i | 0.0115976 | + | 0.0526439i | ||||
\(631\) | −0.404159 | − | 1.00954i | −0.0160893 | − | 0.0401892i | 0.920106 | − | 0.391670i | \(-0.128103\pi\) |
−0.936195 | + | 0.351481i | \(0.885678\pi\) | |||||||
\(632\) | 4.39613 | + | 2.53811i | 0.174869 | + | 0.100961i | ||||
\(633\) | 4.11739 | − | 7.35437i | 0.163652 | − | 0.292310i | ||||
\(634\) | 11.0280 | − | 14.0232i | 0.437976 | − | 0.556932i | ||||
\(635\) | −1.88429 | + | 7.76715i | −0.0747758 | + | 0.308230i | ||||
\(636\) | −49.6497 | + | 32.8434i | −1.96874 | + | 1.30233i | ||||
\(637\) | −22.3133 | + | 1.06291i | −0.884085 | + | 0.0421141i | ||||
\(638\) | −28.6283 | − | 6.94514i | −1.13340 | − | 0.274961i | ||||
\(639\) | 11.2744 | + | 26.1372i | 0.446007 | + | 1.03397i | ||||
\(640\) | 38.6884 | + | 67.0103i | 1.52929 | + | 2.64881i | ||||
\(641\) | −11.7456 | + | 20.3440i | −0.463923 | + | 0.803539i | −0.999152 | − | 0.0411681i | \(-0.986892\pi\) |
0.535229 | + | 0.844707i | \(0.320225\pi\) | |||||||
\(642\) | 34.8214 | − | 45.5044i | 1.37429 | − | 1.79592i | ||||
\(643\) | −6.54466 | − | 7.55294i | −0.258096 | − | 0.297859i | 0.611882 | − | 0.790949i | \(-0.290413\pi\) |
−0.869978 | + | 0.493090i | \(0.835867\pi\) | |||||||
\(644\) | 0.612356 | + | 0.859934i | 0.0241302 | + | 0.0338861i | ||||
\(645\) | 20.8975 | + | 25.8623i | 0.822839 | + | 1.01833i | ||||
\(646\) | −10.7985 | − | 4.93152i | −0.424863 | − | 0.194028i | ||||
\(647\) | −7.74759 | − | 31.9360i | −0.304589 | − | 1.25553i | −0.894134 | − | 0.447799i | \(-0.852208\pi\) |
0.589545 | − | 0.807736i | \(-0.299307\pi\) | |||||||
\(648\) | 24.2482 | + | 20.7880i | 0.952559 | + | 0.816630i | ||||
\(649\) | −0.651533 | − | 3.38047i | −0.0255749 | − | 0.132695i | ||||
\(650\) | 49.4199 | + | 51.8301i | 1.93841 | + | 2.03294i | ||||
\(651\) | −0.0283234 | − | 0.465117i | −0.00111008 | − | 0.0182294i | ||||
\(652\) | −18.8115 | + | 26.4170i | −0.736714 | + | 1.03457i | ||||
\(653\) | −6.85021 | + | 0.654116i | −0.268070 | + | 0.0255975i | −0.228225 | − | 0.973608i | \(-0.573292\pi\) |
−0.0398443 | + | 0.999206i | \(0.512686\pi\) | |||||||
\(654\) | 18.5476 | − | 6.69523i | 0.725268 | − | 0.261804i | ||||
\(655\) | −2.57262 | − | 4.00307i | −0.100521 | − | 0.156413i | ||||
\(656\) | −4.86789 | − | 10.6592i | −0.190059 | − | 0.416172i | ||||
\(657\) | 1.45498 | + | 8.51489i | 0.0567642 | + | 0.332198i | ||||
\(658\) | 0.473558 | + | 0.189584i | 0.0184612 | + | 0.00739076i | ||||
\(659\) | 30.1123 | − | 10.4220i | 1.17301 | − | 0.405982i | 0.330050 | − | 0.943963i | \(-0.392934\pi\) |
0.842957 | + | 0.537982i | \(0.180813\pi\) | |||||||
\(660\) | −21.0121 | + | 91.8992i | −0.817895 | + | 3.57717i | ||||
\(661\) | −23.1340 | + | 35.9973i | −0.899810 | + | 1.40013i | 0.0165877 | + | 0.999862i | \(0.494720\pi\) |
−0.916398 | + | 0.400269i | \(0.868917\pi\) | |||||||
\(662\) | −27.2032 | − | 3.91123i | −1.05728 | − | 0.152014i | ||||
\(663\) | 29.2887 | + | 18.2802i | 1.13748 | + | 0.709943i | ||||
\(664\) | −4.46127 | − | 1.54406i | −0.173131 | − | 0.0599211i | ||||
\(665\) | 0.117578 | + | 0.101882i | 0.00455946 | + | 0.00395080i | ||||
\(666\) | −15.8247 | + | 23.5146i | −0.613197 | + | 0.911171i | ||||
\(667\) | 17.6933 | + | 5.19521i | 0.685086 | + | 0.201159i | ||||
\(668\) | −36.5796 | − | 1.74250i | −1.41531 | − | 0.0674195i | ||||
\(669\) | −14.0911 | − | 23.6780i | −0.544794 | − | 0.915445i | ||||
\(670\) | 39.0078 | − | 62.0756i | 1.50700 | − | 2.39819i | ||||
\(671\) | 47.4177i | 1.83054i | ||||||||
\(672\) | −0.165022 | − | 0.309967i | −0.00636585 | − | 0.0119572i | ||||
\(673\) | 10.5257 | − | 35.8473i | 0.405737 | − | 1.38181i | −0.462921 | − | 0.886399i | \(-0.653199\pi\) |
0.868658 | − | 0.495413i | \(-0.164983\pi\) | |||||||
\(674\) | 2.63358 | − | 27.5801i | 0.101442 | − | 1.06235i | ||||
\(675\) | 31.0012 | − | 38.7836i | 1.19324 | − | 1.49278i | ||||
\(676\) | −3.22588 | + | 9.32058i | −0.124072 | + | 0.358484i | ||||
\(677\) | 27.9662 | − | 14.4176i | 1.07483 | − | 0.554112i | 0.172432 | − | 0.985021i | \(-0.444837\pi\) |
0.902395 | + | 0.430909i | \(0.141807\pi\) | |||||||
\(678\) | −62.1656 | + | 25.8460i | −2.38746 | + | 0.992611i | ||||
\(679\) | 0.337304 | + | 0.216772i | 0.0129445 | + | 0.00831894i | ||||
\(680\) | −58.3384 | + | 61.1835i | −2.23717 | + | 2.34628i | ||||
\(681\) | −4.10166 | − | 3.46024i | −0.157176 | − | 0.132597i | ||||
\(682\) | 18.9389 | − | 47.3070i | 0.725206 | − | 1.81148i | ||||
\(683\) | 18.2318 | − | 14.3377i | 0.697621 | − | 0.548615i | −0.205154 | − | 0.978730i | \(-0.565769\pi\) |
0.902774 | + | 0.430115i | \(0.141527\pi\) | |||||||
\(684\) | 8.51137 | + | 0.586159i | 0.325440 | + | 0.0224124i | ||||
\(685\) | 24.2120 | − | 15.5601i | 0.925094 | − | 0.594522i | ||||
\(686\) | −0.313159 | + | 1.62482i | −0.0119564 | + | 0.0620359i | ||||
\(687\) | −24.0420 | + | 17.6038i | −0.917259 | + | 0.671628i | ||||
\(688\) | 5.36213 | + | 3.81836i | 0.204429 | + | 0.145573i | ||||
\(689\) | 14.3173 | − | 27.7717i | 0.545445 | − | 1.05802i | ||||
\(690\) | 24.9168 | − | 89.2048i | 0.948566 | − | 3.39597i | ||||
\(691\) | −36.5055 | + | 7.03586i | −1.38873 | + | 0.267657i | −0.828181 | − | 0.560461i | \(-0.810624\pi\) |
−0.560554 | + | 0.828118i | \(0.689412\pi\) | |||||||
\(692\) | −12.0842 | − | 41.1548i | −0.459371 | − | 1.56447i | ||||
\(693\) | 0.157271 | − | 0.593204i | 0.00597423 | − | 0.0225340i | ||||
\(694\) | 17.9464 | − | 39.2972i | 0.681237 | − | 1.49170i | ||||
\(695\) | −75.3579 | + | 10.8348i | −2.85849 | + | 0.410989i | ||||
\(696\) | 17.3725 | + | 7.65782i | 0.658502 | + | 0.290269i | ||||
\(697\) | −42.2680 | + | 36.6254i | −1.60102 | + | 1.38729i | ||||
\(698\) | 41.9224 | − | 16.7832i | 1.58679 | − | 0.635253i | ||||
\(699\) | −18.8238 | + | 0.248870i | −0.711981 | + | 0.00941312i | ||||
\(700\) | 1.46326 | − | 0.844816i | 0.0553062 | − | 0.0319310i | ||||
\(701\) | −34.5257 | − | 27.1513i | −1.30402 | − | 1.02549i | −0.997281 | − | 0.0736956i | \(-0.976521\pi\) |
−0.306736 | − | 0.951795i | \(-0.599237\pi\) | |||||||
\(702\) | −38.1802 | − | 7.67349i | −1.44102 | − | 0.289617i | ||||
\(703\) | 0.155072 | + | 3.25536i | 0.00584866 | + | 0.122778i | ||||
\(704\) | −2.33296 | − | 48.9749i | −0.0879268 | − | 1.84581i | ||||
\(705\) | −8.39414 | − | 27.2499i | −0.316142 | − | 1.02629i | ||||
\(706\) | −15.5904 | − | 12.2604i | −0.586751 | − | 0.461426i | ||||
\(707\) | 0.493235 | − | 0.284770i | 0.0185500 | − | 0.0107099i | ||||
\(708\) | 0.0681390 | + | 5.15384i | 0.00256082 | + | 0.193693i | ||||
\(709\) | −10.4184 | + | 4.17088i | −0.391270 | + | 0.156641i | −0.558951 | − | 0.829200i | \(-0.688796\pi\) |
0.167682 | + | 0.985841i | \(0.446372\pi\) | |||||||
\(710\) | 64.2275 | − | 55.6535i | 2.41042 | − | 2.08864i | ||||
\(711\) | 0.520697 | + | 4.25950i | 0.0195277 | + | 0.159744i | ||||
\(712\) | 9.30214 | − | 1.33745i | 0.348613 | − | 0.0501229i | ||||
\(713\) | −13.2507 | + | 29.0151i | −0.496244 | + | 1.08662i | ||||
\(714\) | 0.913544 | − | 0.894415i | 0.0341885 | − | 0.0334727i | ||||
\(715\) | −13.9399 | − | 47.4751i | −0.521324 | − | 1.77547i | ||||
\(716\) | 13.8567 | − | 2.67066i | 0.517849 | − | 0.0998072i | ||||
\(717\) | −8.45517 | − | 2.36171i | −0.315764 | − | 0.0881996i | ||||
\(718\) | 23.4262 | − | 45.4406i | 0.874259 | − | 1.69583i | ||||
\(719\) | 17.1718 | + | 12.2279i | 0.640398 | + | 0.456026i | 0.853562 | − | 0.520991i | \(-0.174437\pi\) |
−0.213164 | + | 0.977016i | \(0.568377\pi\) | |||||||
\(720\) | 5.85790 | − | 13.7799i | 0.218311 | − | 0.513548i | ||||
\(721\) | −0.0223350 | + | 0.115885i | −0.000831798 | + | 0.00431578i | ||||
\(722\) | −36.2297 | + | 23.2834i | −1.34833 | + | 0.866518i | ||||
\(723\) | 7.37271 | − | 10.6487i | 0.274194 | − | 0.396030i | ||||
\(724\) | −59.1555 | + | 46.5204i | −2.19850 | + | 1.72892i | ||||
\(725\) | 10.9692 | − | 27.3996i | 0.407384 | − | 1.01760i | ||||
\(726\) | 14.4320 | − | 17.1072i | 0.535621 | − | 0.634909i | ||||
\(727\) | 32.8088 | − | 34.4089i | 1.21681 | − | 1.27615i | 0.266866 | − | 0.963734i | \(-0.414012\pi\) |
0.949944 | − | 0.312420i | \(-0.101140\pi\) | |||||||
\(728\) | −0.479911 | − | 0.308420i | −0.0177867 | − | 0.0114308i | ||||
\(729\) | −1.71276 | + | 26.9456i | −0.0634355 | + | 0.997986i | ||||
\(730\) | 22.9235 | − | 11.8179i | 0.848435 | − | 0.437399i | ||||
\(731\) | 10.2759 | − | 29.6902i | 0.380067 | − | 1.09813i | ||||
\(732\) | 12.5127 | − | 69.8810i | 0.462482 | − | 2.58288i | ||||
\(733\) | 0.274798 | − | 2.87782i | 0.0101499 | − | 0.106295i | −0.988977 | − | 0.148068i | \(-0.952695\pi\) |
0.999127 | + | 0.0417732i | \(0.0133007\pi\) | |||||||
\(734\) | −1.47763 | + | 5.03236i | −0.0545405 | + | 0.185748i | ||||
\(735\) | 40.8156 | − | 21.7296i | 1.50551 | − | 0.801510i | ||||
\(736\) | 24.0378i | 0.886044i | ||||||||
\(737\) | −28.6277 | + | 16.9185i | −1.05452 | + | 0.623200i | ||||
\(738\) | 30.0876 | − | 55.4490i | 1.10754 | − | 2.04111i | ||||
\(739\) | −5.70385 | − | 0.271708i | −0.209819 | − | 0.00999493i | −0.0575910 | − | 0.998340i | \(-0.518342\pi\) |
−0.152228 | + | 0.988345i | \(0.548645\pi\) | |||||||
\(740\) | 51.7315 | + | 15.1897i | 1.90169 | + | 0.558386i | ||||
\(741\) | −4.04829 | + | 1.91387i | −0.148718 | + | 0.0703078i | ||||
\(742\) | −0.874419 | − | 0.757688i | −0.0321009 | − | 0.0278156i | ||||
\(743\) | −0.615486 | − | 0.213022i | −0.0225800 | − | 0.00781501i | 0.315755 | − | 0.948841i | \(-0.397742\pi\) |
−0.338335 | + | 0.941026i | \(0.609864\pi\) | |||||||
\(744\) | −17.3882 | + | 27.8596i | −0.637482 | + | 1.02138i | ||||
\(745\) | 60.7120 | + | 8.72907i | 2.22432 | + | 0.319808i | ||||
\(746\) | −22.9240 | + | 35.6704i | −0.839305 | + | 1.30598i | ||||
\(747\) | −1.22519 | − | 3.79813i | −0.0448274 | − | 0.138966i | ||||
\(748\) | 84.1779 | − | 29.1342i | 3.07785 | − | 1.06525i | ||||
\(749\) | 0.658725 | + | 0.263714i | 0.0240693 | + | 0.00963588i | ||||
\(750\) | −65.9495 | − | 25.3959i | −2.40814 | − | 0.927326i | ||||
\(751\) | −2.79901 | − | 6.12898i | −0.102137 | − | 0.223650i | 0.851664 | − | 0.524089i | \(-0.175594\pi\) |
−0.953801 | + | 0.300439i | \(0.902867\pi\) | |||||||
\(752\) | −3.05191 | − | 4.74887i | −0.111292 | − | 0.173174i | ||||
\(753\) | 2.51559 | + | 6.96886i | 0.0916732 | + | 0.253959i | ||||
\(754\) | −23.0441 | + | 2.20045i | −0.839218 | + | 0.0801356i | ||||
\(755\) | −19.8212 | + | 27.8350i | −0.721369 | + | 1.01302i | ||||
\(756\) | −0.388311 | + | 0.832723i | −0.0141227 | + | 0.0302858i | ||||
\(757\) | 15.3252 | + | 16.0727i | 0.557006 | + | 0.584171i | 0.940679 | − | 0.339298i | \(-0.110190\pi\) |
−0.383673 | + | 0.923469i | \(0.625341\pi\) | |||||||
\(758\) | −9.99963 | − | 51.8830i | −0.363203 | − | 1.88448i | ||||
\(759\) | −28.5854 | + | 30.7843i | −1.03758 | + | 1.11740i | ||||
\(760\) | −2.58500 | − | 10.6555i | −0.0937678 | − | 0.386516i | ||||
\(761\) | −12.7591 | − | 5.82689i | −0.462517 | − | 0.211224i | 0.170507 | − | 0.985356i | \(-0.445459\pi\) |
−0.633024 | + | 0.774132i | \(0.718187\pi\) | |||||||
\(762\) | −6.62587 | + | 5.35391i | −0.240030 | + | 0.193952i | ||||
\(763\) | 0.141642 | + | 0.198908i | 0.00512778 | + | 0.00720096i | ||||
\(764\) | 37.3984 | + | 43.1601i | 1.35303 | + | 1.56148i | ||||
\(765\) | −70.9819 | − | 8.29687i | −2.56636 | − | 0.299974i | ||||
\(766\) | 20.4109 | − | 35.3528i | 0.737478 | − | 1.27735i | ||||
\(767\) | −1.35265 | − | 2.34286i | −0.0488414 | − | 0.0845957i | ||||
\(768\) | −5.25431 | + | 40.3217i | −0.189598 | + | 1.45498i | ||||
\(769\) | −13.5363 | − | 3.28387i | −0.488131 | − | 0.118419i | −0.0158626 | − | 0.999874i | \(-0.505049\pi\) |
−0.472268 | + | 0.881455i | \(0.656565\pi\) | |||||||
\(770\) | −1.83018 | + | 0.0871820i | −0.0659549 | + | 0.00314182i | ||||
\(771\) | −7.16135 | − | 10.8259i | −0.257910 | − | 0.389884i | ||||
\(772\) | 3.65304 | − | 15.0580i | 0.131476 | − | 0.541950i | ||||
\(773\) | −27.5860 | + | 35.0785i | −0.992200 | + | 1.26169i | −0.0271472 | + | 0.999631i | \(0.508642\pi\) |
−0.965053 | + | 0.262054i | \(0.915600\pi\) | |||||||
\(774\) | 0.936914 | + | 35.4265i | 0.0336767 | + | 1.27338i | ||||
\(775\) | 44.2127 | + | 25.5262i | 1.58817 | + | 0.916929i | ||||
\(776\) | −10.5024 | − | 26.2337i | −0.377014 | − | 0.941736i | ||||
\(777\) | −0.333171 | − | 0.110402i | −0.0119525 | − | 0.00396064i | ||||
\(778\) | −3.24789 | + | 2.31281i | −0.116442 | + | 0.0829183i | ||||
\(779\) | −1.03234 | − | 7.18005i | −0.0369873 | − | 0.257252i | ||||
\(780\) | 8.01592 | + | 73.6440i | 0.287016 | + | 2.63688i | ||||
\(781\) | −37.4603 | + | 9.08776i | −1.34043 | + | 0.325186i | ||||
\(782\) | −83.9716 | + | 24.6563i | −3.00282 | + | 0.881707i | ||||
\(783\) | 3.65984 | + | 15.6265i | 0.130792 | + | 0.558446i | ||||
\(784\) | 6.62531 | − | 6.31722i | 0.236618 | − | 0.225615i | ||||
\(785\) | 66.8875 | + | 34.4829i | 2.38732 | + | 1.23075i | ||||
\(786\) | 0.415312 | − | 5.05469i | 0.0148137 | − | 0.180295i | ||||
\(787\) | −1.79839 | − | 18.8336i | −0.0641057 | − | 0.671345i | −0.969223 | − | 0.246184i | \(-0.920823\pi\) |
0.905118 | − | 0.425161i | \(-0.139783\pi\) | |||||||
\(788\) | −10.0694 | − | 1.94072i | −0.358709 | − | 0.0691355i | ||||
\(789\) | 9.50967 | − | 19.0607i | 0.338553 | − | 0.678580i | ||||
\(790\) | 11.6540 | − | 5.32220i | 0.414631 | − | 0.189356i | ||||
\(791\) | −0.515358 | − | 0.655331i | −0.0183240 | − | 0.0233009i | ||||
\(792\) | −33.2792 | + | 27.6257i | −1.18253 | + | 0.981638i | ||||
\(793\) | 12.1870 | + | 35.2120i | 0.432773 | + | 1.25042i | ||||
\(794\) | −16.9053 | − | 16.1192i | −0.599948 | − | 0.572049i | ||||
\(795\) | −2.22307 | + | 64.6370i | −0.0788442 | + | 2.29244i | ||||
\(796\) | 9.58721 | − | 66.6805i | 0.339810 | − | 2.36343i | ||||
\(797\) | 2.24609 | + | 4.35680i | 0.0795605 | + | 0.154326i | 0.925260 | − | 0.379334i | \(-0.123847\pi\) |
−0.845699 | + | 0.533659i | \(0.820816\pi\) | |||||||
\(798\) | 0.0335312 | + | 0.162394i | 0.00118699 | + | 0.00574867i | ||||
\(799\) | −17.6436 | + | 20.3618i | −0.624186 | + | 0.720349i | ||||
\(800\) | 38.2985 | + | 3.65706i | 1.35406 | + | 0.129297i | ||||
\(801\) | 5.63240 | + | 5.60274i | 0.199011 | + | 0.197963i | ||||
\(802\) | −0.852720 | + | 17.9008i | −0.0301106 | + | 0.632099i | ||||
\(803\) | −11.6978 | −0.412806 | ||||||||
\(804\) | 46.6540 | − | 17.3789i | 1.64536 | − | 0.612908i | ||||
\(805\) | 1.14693 | 0.0404241 | ||||||||
\(806\) | 1.90531 | − | 39.9973i | 0.0671116 | − | 1.40885i | ||||
\(807\) | −26.9029 | + | 6.90440i | −0.947027 | + | 0.243046i | ||||
\(808\) | −39.9575 | − | 3.81548i | −1.40570 | − | 0.134228i | ||||
\(809\) | 16.0646 | − | 18.5396i | 0.564802 | − | 0.651816i | −0.399465 | − | 0.916748i | \(-0.630804\pi\) |
0.964267 | + | 0.264932i | \(0.0853495\pi\) | |||||||
\(810\) | 78.2372 | − | 19.4182i | 2.74897 | − | 0.682286i | ||||
\(811\) | 7.01456 | + | 13.6063i | 0.246314 | + | 0.477783i | 0.979288 | − | 0.202474i | \(-0.0648982\pi\) |
−0.732973 | + | 0.680258i | \(0.761868\pi\) | |||||||
\(812\) | −0.0777268 | + | 0.540602i | −0.00272768 | + | 0.0189714i | ||||
\(813\) | −9.71936 | − | 0.334280i | −0.340873 | − | 0.0117237i | ||||
\(814\) | −27.7785 | − | 26.4868i | −0.973637 | − | 0.928361i | ||||
\(815\) | 11.5238 | + | 33.2957i | 0.403660 | + | 1.16630i | ||||
\(816\) | −13.9766 | + | 2.19849i | −0.489278 | + | 0.0769626i | ||||
\(817\) | 2.51894 | + | 3.20309i | 0.0881266 | + | 0.112062i | ||||
\(818\) | −24.7894 | + | 11.3209i | −0.866741 | + | 0.395827i | ||||
\(819\) | −0.0356734 | − | 0.480929i | −0.00124653 | − | 0.0168050i | ||||
\(820\) | −117.834 | − | 22.7107i | −4.11496 | − | 0.793093i | ||||
\(821\) | −5.00902 | − | 52.4569i | −0.174816 | − | 1.83076i | −0.478620 | − | 0.878022i | \(-0.658863\pi\) |
0.303803 | − | 0.952735i | \(-0.401743\pi\) | |||||||
\(822\) | 30.5725 | + | 2.51195i | 1.06634 | + | 0.0876144i | ||||
\(823\) | 11.9862 | + | 6.17931i | 0.417812 | + | 0.215397i | 0.654297 | − | 0.756238i | \(-0.272965\pi\) |
−0.236484 | + | 0.971635i | \(0.575995\pi\) | |||||||
\(824\) | 6.01965 | − | 5.73973i | 0.209705 | − | 0.199953i | ||||
\(825\) | 44.6985 | + | 50.2275i | 1.55620 | + | 1.74870i | ||||
\(826\) | −0.0961210 | + | 0.0282237i | −0.00334448 | + | 0.000982027i | ||||
\(827\) | 51.0796 | − | 12.3918i | 1.77621 | − | 0.430904i | 0.792384 | − | 0.610023i | \(-0.208840\pi\) |
0.983827 | + | 0.179119i | \(0.0573247\pi\) | |||||||
\(828\) | 50.2506 | − | 37.8246i | 1.74633 | − | 1.31450i | ||||
\(829\) | 5.22796 | + | 36.3613i | 0.181575 | + | 1.26288i | 0.853041 | + | 0.521844i | \(0.174756\pi\) |
−0.671466 | + | 0.741035i | \(0.734335\pi\) | |||||||
\(830\) | −9.70570 | + | 6.91140i | −0.336890 | + | 0.239898i | ||||
\(831\) | 9.51914 | − | 28.7270i | 0.330215 | − | 0.996527i | ||||
\(832\) | −14.3196 | − | 35.7688i | −0.496444 | − | 1.24006i | ||||
\(833\) | −37.8384 | − | 21.8460i | −1.31102 | − | 0.756919i | ||||
\(834\) | −70.8037 | − | 39.6398i | −2.45173 | − | 1.37262i | ||||
\(835\) | −24.5944 | + | 31.2743i | −0.851124 | + | 1.08229i | ||||
\(836\) | −2.72377 | + | 11.2275i | −0.0942036 | + | 0.388313i | ||||
\(837\) | −27.6563 | + | 2.41946i | −0.955943 | + | 0.0836286i | ||||
\(838\) | −59.2434 | + | 2.82211i | −2.04653 | + | 0.0974883i | ||||
\(839\) | −3.37292 | − | 0.818261i | −0.116446 | − | 0.0282495i | 0.177112 | − | 0.984191i | \(-0.443324\pi\) |
−0.293558 | + | 0.955941i | \(0.594840\pi\) | |||||||
\(840\) | 1.17094 | + | 0.152585i | 0.0404013 | + | 0.00526467i | ||||
\(841\) | −9.72995 | − | 16.8528i | −0.335516 | − | 0.581130i | ||||
\(842\) | −16.8961 | + | 29.2650i | −0.582279 | + | 1.00854i | ||||
\(843\) | 42.1314 | + | 32.2403i | 1.45108 | + | 1.11041i | ||||
\(844\) | −11.1904 | − | 12.9144i | −0.385190 | − | 0.444533i | ||||
\(845\) | 6.21564 | + | 8.72864i | 0.213824 | + | 0.300274i | ||||
\(846\) | 10.5452 | − | 28.5023i | 0.362551 | − | 0.979931i | ||||
\(847\) | 0.252113 | + | 0.115136i | 0.00866269 | + | 0.00395612i | ||||
\(848\) | 3.01870 | + | 12.4432i | 0.103663 | + | 0.427303i | ||||
\(849\) | 35.1928 | + | 32.6791i | 1.20781 | + | 1.12154i | ||||
\(850\) | 26.5087 | + | 137.540i | 0.909239 | + | 4.71758i | ||||
\(851\) | 16.5799 | + | 17.3885i | 0.568352 | + | 0.596070i | ||||
\(852\) | 57.6045 | − | 3.50784i | 1.97350 | − | 0.120177i | ||||
\(853\) | −15.9573 | + | 22.4090i | −0.546369 | + | 0.767268i | −0.991766 | − | 0.128065i | \(-0.959123\pi\) |
0.445397 | + | 0.895333i | \(0.353063\pi\) | |||||||
\(854\) | 1.37356 | − | 0.131159i | 0.0470024 | − | 0.00448818i | ||||
\(855\) | 5.88256 | − | 7.16304i | 0.201179 | − | 0.244971i | ||||
\(856\) | −27.0358 | − | 42.0685i | −0.924063 | − | 1.43787i | ||||
\(857\) | 7.08156 | + | 15.5065i | 0.241902 | + | 0.529691i | 0.991173 | − | 0.132572i | \(-0.0423236\pi\) |
−0.749272 | + | 0.662263i | \(0.769596\pi\) | |||||||
\(858\) | 18.9513 | − | 49.2138i | 0.646986 | − | 1.68013i | ||||
\(859\) | −7.90309 | − | 3.16392i | −0.269650 | − | 0.107952i | 0.232897 | − | 0.972501i | \(-0.425179\pi\) |
−0.502547 | + | 0.864550i | \(0.667604\pi\) | |||||||
\(860\) | 63.7046 | − | 22.0484i | 2.17231 | − | 0.751844i | ||||
\(861\) | 0.761561 | + | 0.174126i | 0.0259539 | + | 0.00593418i | ||||
\(862\) | 48.2582 | − | 75.0912i | 1.64368 | − | 2.55762i | ||||
\(863\) | 24.5141 | + | 3.52459i | 0.834469 | + | 0.119979i | 0.546288 | − | 0.837597i | \(-0.316040\pi\) |
0.288181 | + | 0.957576i | \(0.406950\pi\) | |||||||
\(864\) | −18.2008 | + | 10.3164i | −0.619203 | + | 0.350972i | ||||
\(865\) | −44.0368 | − | 15.2413i | −1.49730 | − | 0.518219i | ||||
\(866\) | 2.75630 | + | 2.38835i | 0.0936629 | + | 0.0811593i | ||||
\(867\) | 16.2768 | + | 34.4294i | 0.552790 | + | 1.16928i | ||||
\(868\) | −0.906472 | − | 0.266164i | −0.0307677 | − | 0.00903420i | ||||
\(869\) | −5.80447 | − | 0.276501i | −0.196903 | − | 0.00937965i | ||||
\(870\) | 41.1769 | − | 24.5049i | 1.39603 | − | 0.830795i | ||||
\(871\) | −16.9104 | + | 19.9212i | −0.572988 | + | 0.675005i | ||||
\(872\) | − | 17.2094i | − | 0.582785i | ||||||
\(873\) | 12.3790 | − | 20.4302i | 0.418966 | − | 0.691458i | ||||
\(874\) | 3.19790 | − | 10.8910i | 0.108170 | − | 0.368395i | ||||
\(875\) | 0.0831865 | − | 0.871169i | 0.00281222 | − | 0.0294509i | ||||
\(876\) | 17.2394 | + | 3.08684i | 0.582466 | + | 0.104295i | ||||
\(877\) | 8.00655 | − | 23.1334i | 0.270362 | − | 0.781160i | −0.725327 | − | 0.688405i | \(-0.758311\pi\) |
0.995689 | − | 0.0927551i | \(-0.0295674\pi\) | |||||||
\(878\) | 36.2371 | − | 18.6815i | 1.22294 | − | 0.630471i | ||||
\(879\) | 12.9005 | + | 31.0287i | 0.435124 | + | 1.04657i | ||||
\(880\) | 17.0578 | + | 10.9624i | 0.575017 | + | 0.369541i | ||||
\(881\) | 32.3882 | − | 33.9678i | 1.09119 | − | 1.14440i | 0.102450 | − | 0.994738i | \(-0.467332\pi\) |
0.988737 | − | 0.149665i | \(-0.0478196\pi\) | |||||||
\(882\) | 48.6226 | + | 8.04432i | 1.63721 | + | 0.270866i | ||||
\(883\) | −13.7405 | + | 34.3220i | −0.462404 | + | 1.15503i | 0.495671 | + | 0.868510i | \(0.334922\pi\) |
−0.958075 | + | 0.286518i | \(0.907502\pi\) | |||||||
\(884\) | 55.0219 | − | 43.2697i | 1.85059 | − | 1.45532i | ||||
\(885\) | 4.60401 | + | 3.18762i | 0.154762 | + | 0.107151i | ||||
\(886\) | 62.6144 | − | 40.2399i | 2.10357 | − | 1.35188i | ||||
\(887\) | 5.79183 | − | 30.0508i | 0.194470 | − | 1.00901i | −0.745178 | − | 0.666866i | \(-0.767635\pi\) |
0.939648 | − | 0.342143i | \(-0.111153\pi\) | |||||||
\(888\) | 14.6136 | + | 19.9582i | 0.490402 | + | 0.669755i | ||||
\(889\) | −0.0859283 | − | 0.0611892i | −0.00288194 | − | 0.00205222i | ||||
\(890\) | 10.8686 | − | 21.0822i | 0.364318 | − | 0.706678i | ||||
\(891\) | −35.5772 | − | 8.43224i | −1.19188 | − | 0.282491i | ||||
\(892\) | −54.8539 | + | 10.5722i | −1.83664 | + | 0.353984i | ||||
\(893\) | −0.984493 | − | 3.35287i | −0.0329448 | − | 0.112200i | ||||
\(894\) | 45.7349 | + | 46.7130i | 1.52960 | + | 1.56232i | ||||
\(895\) | 6.36893 | − | 13.9460i | 0.212890 | − | 0.466163i | ||||
\(896\) | −1.01086 | + | 0.145340i | −0.0337706 | + | 0.00485547i | ||||
\(897\) | −13.3153 | + | 30.2070i | −0.444585 | + | 1.00858i | ||||
\(898\) | −34.6097 | + | 29.9894i | −1.15494 | + | 1.00076i | ||||
\(899\) | −15.3202 | + | 6.13329i | −0.510958 | + | 0.204557i | ||||
\(900\) | −52.6195 | − | 85.8170i | −1.75398 | − | 2.86057i | ||||
\(901\) | 52.9246 | − | 30.5560i | 1.76317 | − | 1.01797i | ||||
\(902\) | 67.1524 | + | 52.8092i | 2.23593 | + | 1.75835i | ||||
\(903\) | −0.419403 | + | 0.129194i | −0.0139568 | + | 0.00429931i | ||||
\(904\) | 2.79574 | + | 58.6898i | 0.0929849 | + | 1.95199i | ||||
\(905\) | 3.89036 | + | 81.6686i | 0.129320 | + | 2.71476i | ||||
\(906\) | −34.8067 | + | 10.7220i | −1.15638 | + | 0.356214i | ||||
\(907\) | 18.7318 | + | 14.7309i | 0.621981 | + | 0.489131i | 0.878712 | − | 0.477352i | \(-0.158403\pi\) |
−0.256732 | + | 0.966483i | \(0.582646\pi\) | |||||||
\(908\) | −9.42217 | + | 5.43989i | −0.312686 | + | 0.180529i | ||||
\(909\) | −17.7369 | − | 28.9271i | −0.588297 | − | 0.959451i | ||||
\(910\) | −1.33667 | + | 0.535121i | −0.0443101 | + | 0.0177391i | ||||
\(911\) | 1.89743 | − | 1.64413i | 0.0628647 | − | 0.0544726i | −0.622862 | − | 0.782332i | \(-0.714030\pi\) |
0.685726 | + | 0.727859i | \(0.259485\pi\) | |||||||
\(912\) | 0.740169 | − | 1.67914i | 0.0245094 | − | 0.0556019i | ||||
\(913\) | 5.34931 | − | 0.769114i | 0.177036 | − | 0.0254540i | ||||
\(914\) | 3.94351 | − | 8.63507i | 0.130440 | − | 0.285623i | ||||
\(915\) | −53.9582 | − | 55.1122i | −1.78380 | − | 1.82195i | ||||
\(916\) | 17.0204 | + | 57.9660i | 0.562369 | + | 1.91525i | ||||
\(917\) | 0.0616696 | − | 0.0118858i | 0.00203651 | − | 0.000392505i | ||||
\(918\) | −54.7076 | − | 52.9992i | −1.80562 | − | 1.74923i | ||||
\(919\) | 16.2711 | − | 31.5615i | 0.536733 | − | 1.04112i | −0.452083 | − | 0.891976i | \(-0.649319\pi\) |
0.988816 | − | 0.149141i | \(-0.0476509\pi\) | |||||||
\(920\) | −65.8439 | − | 46.8872i | −2.17081 | − | 1.54583i | ||||
\(921\) | 11.3321 | + | 15.4765i | 0.373405 | + | 0.509969i | ||||
\(922\) | −10.5930 | + | 54.9616i | −0.348861 | + | 1.81006i | ||||
\(923\) | −25.4820 | + | 16.3763i | −0.838751 | + | 0.539032i | ||||
\(924\) | −1.02297 | − | 0.708264i | −0.0336534 | − | 0.0233002i | ||||
\(925\) | 30.2269 | − | 23.7707i | 0.993854 | − | 0.781576i | ||||
\(926\) | 18.9214 | − | 47.2633i | 0.621795 | − | 1.55317i | ||||
\(927\) | 6.93694 | + | 1.14768i | 0.227839 | + | 0.0376946i | ||||
\(928\) | −8.58183 | + | 9.00037i | −0.281713 | + | 0.295452i | ||||
\(929\) | −17.9174 | − | 11.5148i | −0.587851 | − | 0.377789i | 0.212643 | − | 0.977130i | \(-0.431793\pi\) |
−0.800494 | + | 0.599341i | \(0.795429\pi\) | |||||||
\(930\) | 31.8201 | + | 76.5346i | 1.04342 | + | 2.50967i | ||||
\(931\) | 5.03686 | − | 2.59668i | 0.165077 | − | 0.0851029i | ||||
\(932\) | −12.4833 | + | 36.0681i | −0.408904 | + | 1.18145i | ||||
\(933\) | −4.16928 | − | 0.746538i | −0.136496 | − | 0.0244406i | ||||
\(934\) | 6.57721 | − | 68.8796i | 0.215213 | − | 2.25381i | ||||
\(935\) | 27.2651 | − | 92.8564i | 0.891664 | − | 3.03673i | ||||
\(936\) | −17.6127 | + | 29.0679i | −0.575689 | + | 0.950113i | ||||
\(937\) | − | 12.6076i | − | 0.411872i | −0.978565 | − | 0.205936i | \(-0.933976\pi\) | ||
0.978565 | − | 0.205936i | \(-0.0660238\pi\) | |||||||
\(938\) | 0.569268 | + | 0.782470i | 0.0185873 | + | 0.0255486i | ||||
\(939\) | 2.86598 | − | 1.70559i | 0.0935278 | − | 0.0556597i | ||||
\(940\) | −57.7437 | − | 2.75067i | −1.88339 | − | 0.0897170i | ||||
\(941\) | 8.81052 | + | 2.58700i | 0.287215 | + | 0.0843338i | 0.422166 | − | 0.906518i | \(-0.361270\pi\) |
−0.134952 | + | 0.990852i | \(0.543088\pi\) | |||||||
\(942\) | 34.2808 | + | 72.5120i | 1.11693 | + | 2.36257i | ||||
\(943\) | −40.4148 | − | 35.0196i | −1.31609 | − | 1.14040i | ||||
\(944\) | 1.04766 | + | 0.362597i | 0.0340983 | + | 0.0118015i | ||||
\(945\) | 0.492236 | + | 0.868427i | 0.0160124 | + | 0.0282499i | ||||
\(946\) | −47.5021 | − | 6.82977i | −1.54443 | − | 0.222055i | ||||
\(947\) | 5.66915 | − | 8.82136i | 0.184223 | − | 0.286656i | −0.736843 | − | 0.676064i | \(-0.763684\pi\) |
0.921065 | + | 0.389408i | \(0.127321\pi\) | |||||||
\(948\) | 8.48127 | + | 1.93918i | 0.275459 | + | 0.0629817i | ||||
\(949\) | −8.68670 | + | 3.00649i | −0.281982 | + | 0.0975949i | ||||
\(950\) | −16.8658 | − | 6.75203i | −0.547198 | − | 0.219065i | ||||
\(951\) | 4.72979 | − | 12.2826i | 0.153374 | − | 0.398291i | ||||
\(952\) | −0.463513 | − | 1.01495i | −0.0150226 | − | 0.0328948i | ||||
\(953\) | −6.63764 | − | 10.3284i | −0.215014 | − | 0.334569i | 0.716946 | − | 0.697128i | \(-0.245539\pi\) |
−0.931961 | + | 0.362560i | \(0.881903\pi\) | |||||||
\(954\) | −43.7484 | + | 53.2712i | −1.41641 | + | 1.72472i | ||||
\(955\) | 61.7643 | − | 5.89778i | 1.99865 | − | 0.190848i | ||||
\(956\) | −10.3241 | + | 14.4982i | −0.333906 | + | 0.468906i | ||||
\(957\) | −21.6935 | + | 1.32103i | −0.701252 | + | 0.0427029i | ||||
\(958\) | 41.3648 | + | 43.3821i | 1.33643 | + | 1.40161i | ||||
\(959\) | 0.0718898 | + | 0.373000i | 0.00232144 | + | 0.0120448i | ||||
\(960\) | 58.4417 | + | 54.2673i | 1.88620 | + | 1.75147i | ||||
\(961\) | 0.578681 | + | 2.38535i | 0.0186671 | + | 0.0769469i | ||||
\(962\) | −27.4356 | − | 12.5294i | −0.884559 | − | 0.403964i | ||||
\(963\) | 14.6684 | − | 39.6470i | 0.472684 | − | 1.27761i | ||||
\(964\) | −15.2318 | − | 21.3901i | −0.490583 | − | 0.688927i | ||||
\(965\) | −11.0240 | − | 12.7224i | −0.354875 | − | 0.409548i | ||||
\(966\) | 0.970806 | + | 0.742891i | 0.0312352 | + | 0.0239021i | ||||
\(967\) | −23.8764 | + | 41.3552i | −0.767814 | + | 1.32989i | 0.170931 | + | 0.985283i | \(0.445322\pi\) |
−0.938746 | + | 0.344611i | \(0.888011\pi\) | |||||||
\(968\) | −9.76663 | − | 16.9163i | −0.313911 | − | 0.543711i | ||||
\(969\) | −8.68488 | − | 1.13172i | −0.278998 | − | 0.0363562i | ||||
\(970\) | −69.3092 | − | 16.8142i | −2.22539 | − | 0.539873i | ||||
\(971\) | 33.7440 | − | 1.60742i | 1.08290 | − | 0.0515847i | 0.501463 | − | 0.865179i | \(-0.332795\pi\) |
0.581433 | + | 0.813595i | \(0.302492\pi\) | |||||||
\(972\) | 50.2061 | + | 21.8150i | 1.61036 | + | 0.699717i | ||||
\(973\) | 0.236900 | − | 0.976515i | 0.00759466 | − | 0.0313056i | ||||
\(974\) | −58.7211 | + | 74.6699i | −1.88154 | + | 2.39258i | ||||
\(975\) | 46.1019 | + | 25.8104i | 1.47644 | + | 0.826595i | ||||
\(976\) | −13.2239 | − | 7.63484i | −0.423288 | − | 0.244385i | ||||
\(977\) | 8.50631 | + | 21.2477i | 0.272141 | + | 0.679776i | 0.999982 | − | 0.00597029i | \(-0.00190042\pi\) |
−0.727841 | + | 0.685746i | \(0.759476\pi\) | |||||||
\(978\) | −11.8122 | + | 35.6469i | −0.377712 | + | 1.13986i | ||||
\(979\) | −8.76339 | + | 6.24038i | −0.280079 | + | 0.199444i | ||||
\(980\) | −13.3417 | − | 92.7934i | −0.426184 | − | 2.96418i | ||||
\(981\) | 11.6233 | − | 8.74906i | 0.371103 | − | 0.279336i | ||||
\(982\) | −15.8727 | + | 3.85067i | −0.506517 | + | 0.122880i | ||||
\(983\) | 48.0811 | − | 14.1179i | 1.53355 | − | 0.450291i | 0.597415 | − | 0.801932i | \(-0.296195\pi\) |
0.936135 | + | 0.351642i | \(0.114376\pi\) | |||||||
\(984\) | −36.6019 | − | 41.1293i | −1.16682 | − | 1.31116i | ||||
\(985\) | −8.06322 | + | 7.68827i | −0.256916 | + | 0.244968i | ||||
\(986\) | −40.2438 | − | 20.7471i | −1.28162 | − | 0.660723i | ||||
\(987\) | 0.375071 | + | 0.0308172i | 0.0119386 | + | 0.000980922i | ||||
\(988\) | 0.862979 | + | 9.03753i | 0.0274550 | + | 0.287522i | ||||
\(989\) | 29.4978 | + | 5.68523i | 0.937974 | + | 0.180780i | ||||
\(990\) | 8.07498 | + | 108.862i | 0.256640 | + | 3.45988i | ||||
\(991\) | 26.4023 | − | 12.0575i | 0.838698 | − | 0.383021i | 0.0507117 | − | 0.998713i | \(-0.483851\pi\) |
0.787986 | + | 0.615693i | \(0.211124\pi\) | |||||||
\(992\) | −13.2976 | − | 16.9093i | −0.422199 | − | 0.536870i | ||||
\(993\) | −20.0298 | + | 3.15066i | −0.635627 | + | 0.0999830i | ||||
\(994\) | 0.366865 | + | 1.05999i | 0.0116362 | + | 0.0336207i | ||||
\(995\) | −52.9695 | − | 50.5063i | −1.67924 | − | 1.60116i | ||||
\(996\) | −8.08640 | − | 0.278117i | −0.256227 | − | 0.00881248i | ||||
\(997\) | 1.51126 | − | 10.5111i | 0.0478622 | − | 0.332889i | −0.951796 | − | 0.306733i | \(-0.900764\pi\) |
0.999658 | − | 0.0261560i | \(-0.00832668\pi\) | |||||||
\(998\) | −4.39706 | − | 8.52911i | −0.139187 | − | 0.269984i | ||||
\(999\) | −6.05042 | + | 20.0166i | −0.191427 | + | 0.633297i |
(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 | 201.2.p.b.2.19 | yes | 400 | |
3.2 | odd | 2 | inner | 201.2.p.b.2.2 | ✓ | 400 | |
67.34 | odd | 66 | inner | 201.2.p.b.101.2 | yes | 400 | |
201.101 | even | 66 | inner | 201.2.p.b.101.19 | yes | 400 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
201.2.p.b.2.2 | ✓ | 400 | 3.2 | odd | 2 | inner | |
201.2.p.b.2.19 | yes | 400 | 1.1 | even | 1 | trivial | |
201.2.p.b.101.2 | yes | 400 | 67.34 | odd | 66 | inner | |
201.2.p.b.101.19 | yes | 400 | 201.101 | even | 66 | inner |