Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [920,2,Mod(11,920)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(920, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 11, 0, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("920.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 920 = 2^{3} \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 920.bb (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.34623698596\) |
Analytic rank: | \(0\) |
Dimension: | \(480\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 11.19 | ||
Character | \(\chi\) | \(=\) | 920.11 |
Dual form | 920.2.bb.a.251.19 |
$q$-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 \(\left(\mathbb{Z}/920\mathbb{Z}\right)^\times\).
\(n\) | \(231\) | \(281\) | \(461\) | \(737\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{9}{22}\right)\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.412411 | − | 1.35274i | −0.291619 | − | 0.956535i | ||||
\(3\) | −0.429309 | + | 2.98591i | −0.247862 | + | 1.72392i | 0.362664 | + | 0.931920i | \(0.381867\pi\) |
−0.610525 | + | 0.791997i | \(0.709042\pi\) | |||||||
\(4\) | −1.65983 | + | 1.11577i | −0.829917 | + | 0.557887i | ||||
\(5\) | −0.959493 | + | 0.281733i | −0.429098 | + | 0.125995i | ||||
\(6\) | 4.21623 | − | 0.650679i | 1.72127 | − | 0.265638i | ||||
\(7\) | −1.41433 | − | 1.63223i | −0.534568 | − | 0.616925i | 0.422650 | − | 0.906293i | \(-0.361100\pi\) |
−0.957218 | + | 0.289369i | \(0.906555\pi\) | |||||||
\(8\) | 2.19389 | + | 1.78517i | 0.775658 | + | 0.631154i | ||||
\(9\) | −5.85288 | − | 1.71856i | −1.95096 | − | 0.572854i | ||||
\(10\) | 0.776818 | + | 1.18176i | 0.245651 | + | 0.373705i | ||||
\(11\) | 0.260861 | − | 0.405908i | 0.0786526 | − | 0.122386i | −0.799699 | − | 0.600402i | \(-0.795007\pi\) |
0.878351 | + | 0.478016i | \(0.158644\pi\) | |||||||
\(12\) | −2.61902 | − | 5.43513i | −0.756046 | − | 1.56899i | ||||
\(13\) | −0.398969 | − | 0.345709i | −0.110654 | − | 0.0958823i | 0.597776 | − | 0.801663i | \(-0.296051\pi\) |
−0.708431 | + | 0.705780i | \(0.750596\pi\) | |||||||
\(14\) | −1.62470 | + | 2.58638i | −0.434219 | + | 0.691240i | ||||
\(15\) | −0.429309 | − | 2.98591i | −0.110847 | − | 0.770959i | ||||
\(16\) | 1.51009 | − | 3.70400i | 0.377524 | − | 0.926000i | ||||
\(17\) | 1.00123 | − | 0.457246i | 0.242834 | − | 0.110898i | −0.290281 | − | 0.956941i | \(-0.593749\pi\) |
0.533115 | + | 0.846043i | \(0.321021\pi\) | |||||||
\(18\) | 0.0890221 | + | 8.62620i | 0.0209827 | + | 2.03322i | ||||
\(19\) | −2.30954 | − | 1.05473i | −0.529844 | − | 0.241972i | 0.132485 | − | 0.991185i | \(-0.457705\pi\) |
−0.662329 | + | 0.749213i | \(0.730432\pi\) | |||||||
\(20\) | 1.27825 | − | 1.53821i | 0.285825 | − | 0.343954i | ||||
\(21\) | 5.48088 | − | 3.52235i | 1.19603 | − | 0.768639i | ||||
\(22\) | −0.656672 | − | 0.185477i | −0.140003 | − | 0.0395439i | ||||
\(23\) | −4.73300 | − | 0.773739i | −0.986900 | − | 0.161336i | ||||
\(24\) | −6.27222 | + | 5.78438i | −1.28031 | + | 1.18073i | ||||
\(25\) | 0.841254 | − | 0.540641i | 0.168251 | − | 0.108128i | ||||
\(26\) | −0.303116 | + | 0.682277i | −0.0594459 | + | 0.133806i | ||||
\(27\) | 3.88472 | − | 8.50636i | 0.747615 | − | 1.63705i | ||||
\(28\) | 4.16876 | + | 1.13115i | 0.787821 | + | 0.213767i | ||||
\(29\) | 7.04860 | − | 3.21899i | 1.30889 | − | 0.597751i | 0.365928 | − | 0.930643i | \(-0.380752\pi\) |
0.942965 | + | 0.332892i | \(0.108024\pi\) | |||||||
\(30\) | −3.86212 | + | 1.81217i | −0.705124 | + | 0.330855i | ||||
\(31\) | −4.41035 | + | 0.634113i | −0.792123 | + | 0.113890i | −0.526487 | − | 0.850183i | \(-0.676491\pi\) |
−0.265636 | + | 0.964073i | \(0.585582\pi\) | |||||||
\(32\) | −5.63334 | − | 0.515200i | −0.995844 | − | 0.0910753i | ||||
\(33\) | 1.10002 | + | 0.953169i | 0.191488 | + | 0.165925i | ||||
\(34\) | −1.03145 | − | 1.16583i | −0.176893 | − | 0.199939i | ||||
\(35\) | 1.81690 | + | 1.16765i | 0.307111 | + | 0.197369i | ||||
\(36\) | 11.6323 | − | 3.67797i | 1.93872 | − | 0.612995i | ||||
\(37\) | 3.42102 | + | 1.00450i | 0.562413 | + | 0.165139i | 0.550568 | − | 0.834791i | \(-0.314411\pi\) |
0.0118450 | + | 0.999930i | \(0.496230\pi\) | |||||||
\(38\) | −0.474301 | + | 3.55920i | −0.0769417 | + | 0.577378i | ||||
\(39\) | 1.20354 | − | 1.04287i | 0.192720 | − | 0.166993i | ||||
\(40\) | −2.60796 | − | 1.09477i | −0.412355 | − | 0.173098i | ||||
\(41\) | 5.07992 | − | 1.49160i | 0.793351 | − | 0.232949i | 0.140147 | − | 0.990131i | \(-0.455243\pi\) |
0.653204 | + | 0.757182i | \(0.273424\pi\) | |||||||
\(42\) | −7.02521 | − | 5.96157i | −1.08401 | − | 0.919890i | ||||
\(43\) | 9.40966 | + | 1.35291i | 1.43496 | + | 0.206316i | 0.815521 | − | 0.578728i | \(-0.196451\pi\) |
0.619440 | + | 0.785044i | \(0.287360\pi\) | |||||||
\(44\) | 0.0199156 | + | 0.964802i | 0.00300238 | + | 0.145449i | ||||
\(45\) | 6.09997 | 0.909330 | ||||||||
\(46\) | 0.905274 | + | 6.72164i | 0.133475 | + | 0.991052i | ||||
\(47\) | 1.55715i | 0.227134i | 0.993530 | + | 0.113567i | \(0.0362276\pi\) | ||||
−0.993530 | + | 0.113567i | \(0.963772\pi\) | |||||||
\(48\) | 10.4115 | + | 6.09917i | 1.50277 | + | 0.880339i | ||||
\(49\) | 0.332374 | − | 2.31171i | 0.0474821 | − | 0.330245i | ||||
\(50\) | −1.07829 | − | 0.915034i | −0.152493 | − | 0.129405i | ||||
\(51\) | 0.935459 | + | 3.18588i | 0.130990 | + | 0.446112i | ||||
\(52\) | 1.04796 | + | 0.128659i | 0.145325 | + | 0.0178418i | ||||
\(53\) | −0.419139 | − | 0.483712i | −0.0575732 | − | 0.0664430i | 0.726232 | − | 0.687449i | \(-0.241270\pi\) |
−0.783806 | + | 0.621006i | \(0.786724\pi\) | |||||||
\(54\) | −13.1090 | − | 1.74692i | −1.78391 | − | 0.237725i | ||||
\(55\) | −0.135937 | + | 0.462959i | −0.0183297 | + | 0.0624254i | ||||
\(56\) | −0.189087 | − | 6.10576i | −0.0252679 | − | 0.815917i | ||||
\(57\) | 4.14084 | − | 6.44327i | 0.548467 | − | 0.853432i | ||||
\(58\) | −7.26139 | − | 8.20741i | −0.953468 | − | 1.07769i | ||||
\(59\) | 7.29413 | − | 8.41787i | 0.949615 | − | 1.09591i | −0.0456737 | − | 0.998956i | \(-0.514543\pi\) |
0.995289 | − | 0.0969575i | \(-0.0309111\pi\) | |||||||
\(60\) | 4.04419 | + | 4.47710i | 0.522102 | + | 0.577992i | ||||
\(61\) | −1.47679 | − | 10.2713i | −0.189084 | − | 1.31511i | −0.834386 | − | 0.551181i | \(-0.814177\pi\) |
0.645301 | − | 0.763928i | \(-0.276732\pi\) | |||||||
\(62\) | 2.67667 | + | 5.70456i | 0.339938 | + | 0.724480i | ||||
\(63\) | 5.47285 | + | 11.9839i | 0.689514 | + | 1.50982i | ||||
\(64\) | 1.62632 | + | 7.83295i | 0.203290 | + | 0.979119i | ||||
\(65\) | 0.480205 | + | 0.219302i | 0.0595622 | + | 0.0272011i | ||||
\(66\) | 0.835735 | − | 1.88114i | 0.102872 | − | 0.231552i | ||||
\(67\) | −0.346109 | − | 0.538557i | −0.0422840 | − | 0.0657952i | 0.819468 | − | 0.573125i | \(-0.194269\pi\) |
−0.861752 | + | 0.507330i | \(0.830633\pi\) | |||||||
\(68\) | −1.15169 | + | 1.87610i | −0.139663 | + | 0.227510i | ||||
\(69\) | 4.34224 | − | 13.8002i | 0.522744 | − | 1.66134i | ||||
\(70\) | 0.830220 | − | 2.93935i | 0.0992303 | − | 0.351319i | ||||
\(71\) | −3.06304 | − | 4.76619i | −0.363516 | − | 0.565642i | 0.610529 | − | 0.791994i | \(-0.290957\pi\) |
−0.974046 | + | 0.226351i | \(0.927320\pi\) | |||||||
\(72\) | −9.77266 | − | 14.2187i | −1.15172 | − | 1.67569i | ||||
\(73\) | 5.17201 | − | 11.3251i | 0.605338 | − | 1.32551i | −0.320379 | − | 0.947289i | \(-0.603810\pi\) |
0.925717 | − | 0.378216i | \(-0.123463\pi\) | |||||||
\(74\) | −0.0520336 | − | 5.04204i | −0.00604878 | − | 0.586125i | ||||
\(75\) | 1.25315 | + | 2.74401i | 0.144701 | + | 0.316851i | ||||
\(76\) | 5.01029 | − | 0.826246i | 0.574720 | − | 0.0947769i | ||||
\(77\) | −1.03148 | + | 0.148304i | −0.117548 | + | 0.0169009i | ||||
\(78\) | −1.90709 | − | 1.19799i | −0.215935 | − | 0.135645i | ||||
\(79\) | 1.22567 | − | 1.41450i | 0.137899 | − | 0.159143i | −0.682600 | − | 0.730793i | \(-0.739151\pi\) |
0.820498 | + | 0.571649i | \(0.193696\pi\) | |||||||
\(80\) | −0.405388 | + | 3.97940i | −0.0453238 | + | 0.444911i | ||||
\(81\) | 8.33661 | + | 5.35761i | 0.926290 | + | 0.595291i | ||||
\(82\) | −4.11277 | − | 6.25668i | −0.454180 | − | 0.690935i | ||||
\(83\) | −2.13633 | + | 7.27566i | −0.234492 | + | 0.798607i | 0.755212 | + | 0.655480i | \(0.227534\pi\) |
−0.989704 | + | 0.143127i | \(0.954284\pi\) | |||||||
\(84\) | −5.16720 | + | 11.9619i | −0.563788 | + | 1.30515i | ||||
\(85\) | −0.831851 | + | 0.720803i | −0.0902269 | + | 0.0781820i | ||||
\(86\) | −2.05052 | − | 13.2868i | −0.221113 | − | 1.43275i | ||||
\(87\) | 6.58558 | + | 22.4284i | 0.706049 | + | 2.40458i | ||||
\(88\) | 1.29692 | − | 0.424836i | 0.138252 | − | 0.0452877i | ||||
\(89\) | −17.3851 | − | 2.49959i | −1.84281 | − | 0.264956i | −0.869415 | − | 0.494082i | \(-0.835504\pi\) |
−0.973397 | + | 0.229126i | \(0.926413\pi\) | |||||||
\(90\) | −2.51570 | − | 8.25170i | −0.265178 | − | 0.869806i | ||||
\(91\) | 1.14016i | 0.119521i | ||||||||
\(92\) | 8.71932 | − | 3.99669i | 0.909052 | − | 0.416683i | ||||
\(93\) | − | 13.4412i | − | 1.39378i | ||||||
\(94\) | 2.10643 | − | 0.642187i | 0.217261 | − | 0.0662365i | ||||
\(95\) | 2.51314 | + | 0.361335i | 0.257842 | + | 0.0370721i | ||||
\(96\) | 3.95679 | − | 16.5995i | 0.403838 | − | 1.69418i | ||||
\(97\) | 4.34339 | + | 14.7922i | 0.441005 | + | 1.50192i | 0.817732 | + | 0.575600i | \(0.195231\pi\) |
−0.376727 | + | 0.926324i | \(0.622951\pi\) | |||||||
\(98\) | −3.26423 | + | 0.503760i | −0.329737 | + | 0.0508875i | ||||
\(99\) | −2.22437 | + | 1.92743i | −0.223557 | + | 0.193714i | ||||
\(100\) | −0.793108 | + | 1.83602i | −0.0793108 | + | 0.183602i | ||||
\(101\) | 3.40016 | − | 11.5799i | 0.338329 | − | 1.15224i | −0.598111 | − | 0.801413i | \(-0.704082\pi\) |
0.936440 | − | 0.350828i | \(-0.114100\pi\) | |||||||
\(102\) | 3.92389 | − | 2.57933i | 0.388523 | − | 0.255392i | ||||
\(103\) | −0.0633518 | − | 0.0407137i | −0.00624224 | − | 0.00401164i | 0.537516 | − | 0.843254i | \(-0.319363\pi\) |
−0.543758 | + | 0.839242i | \(0.682999\pi\) | |||||||
\(104\) | −0.258146 | − | 1.47068i | −0.0253133 | − | 0.144212i | ||||
\(105\) | −4.26650 | + | 4.92381i | −0.416368 | + | 0.480514i | ||||
\(106\) | −0.481481 | + | 0.766477i | −0.0467656 | + | 0.0744468i | ||||
\(107\) | −7.18451 | + | 1.03298i | −0.694552 | + | 0.0998616i | −0.480544 | − | 0.876970i | \(-0.659561\pi\) |
−0.214008 | + | 0.976832i | \(0.568652\pi\) | |||||||
\(108\) | 3.04318 | + | 18.4536i | 0.292830 | + | 1.77570i | ||||
\(109\) | 1.79258 | + | 3.92520i | 0.171698 | + | 0.375966i | 0.975845 | − | 0.218465i | \(-0.0701048\pi\) |
−0.804147 | + | 0.594430i | \(0.797378\pi\) | |||||||
\(110\) | 0.682327 | − | 0.00704159i | 0.0650573 | − | 0.000671389i | ||||
\(111\) | −4.46803 | + | 9.78363i | −0.424087 | + | 0.928621i | ||||
\(112\) | −8.18155 | + | 2.77387i | −0.773084 | + | 0.262106i | ||||
\(113\) | −6.49012 | − | 10.0988i | −0.610539 | − | 0.950018i | −0.999585 | − | 0.0287994i | \(-0.990832\pi\) |
0.389046 | − | 0.921218i | \(-0.372805\pi\) | |||||||
\(114\) | −10.4238 | − | 2.94422i | −0.976281 | − | 0.275751i | ||||
\(115\) | 4.75927 | − | 0.591044i | 0.443804 | − | 0.0551151i | ||||
\(116\) | −8.10784 | + | 13.2076i | −0.752794 | + | 1.22630i | ||||
\(117\) | 1.74100 | + | 2.70904i | 0.160955 | + | 0.250451i | ||||
\(118\) | −14.3954 | − | 6.39546i | −1.32521 | − | 0.588750i | ||||
\(119\) | −2.16240 | − | 0.987536i | −0.198227 | − | 0.0905273i | ||||
\(120\) | 4.38851 | − | 7.31716i | 0.400614 | − | 0.667962i | ||||
\(121\) | 4.47285 | + | 9.79418i | 0.406623 | + | 0.890380i | ||||
\(122\) | −13.2854 | + | 6.23374i | −1.20281 | + | 0.564376i | ||||
\(123\) | 2.27293 | + | 15.8086i | 0.204943 | + | 1.42541i | ||||
\(124\) | 6.61292 | − | 5.97348i | 0.593858 | − | 0.536434i | ||||
\(125\) | −0.654861 | + | 0.755750i | −0.0585725 | + | 0.0675963i | ||||
\(126\) | 13.9540 | − | 12.3456i | 1.24312 | − | 1.09984i | ||||
\(127\) | −7.73517 | + | 12.0362i | −0.686385 | + | 1.06804i | 0.306832 | + | 0.951764i | \(0.400731\pi\) |
−0.993217 | + | 0.116272i | \(0.962905\pi\) | |||||||
\(128\) | 9.92526 | − | 5.43040i | 0.877277 | − | 0.479984i | ||||
\(129\) | −8.07931 | + | 27.5156i | −0.711344 | + | 2.42261i | ||||
\(130\) | 0.0986179 | − | 0.740038i | 0.00864936 | − | 0.0649056i | ||||
\(131\) | −4.39184 | − | 5.06845i | −0.383717 | − | 0.442833i | 0.530729 | − | 0.847542i | \(-0.321918\pi\) |
−0.914446 | + | 0.404709i | \(0.867373\pi\) | |||||||
\(132\) | −2.88936 | − | 0.354732i | −0.251487 | − | 0.0308755i | ||||
\(133\) | 1.54490 | + | 5.26144i | 0.133960 | + | 0.456224i | ||||
\(134\) | −0.585790 | + | 0.690304i | −0.0506045 | + | 0.0596332i | ||||
\(135\) | −1.33085 | + | 9.25624i | −0.114541 | + | 0.796651i | ||||
\(136\) | 3.01285 | + | 0.784217i | 0.258350 | + | 0.0672461i | ||||
\(137\) | − | 10.4500i | − | 0.892806i | −0.894832 | − | 0.446403i | \(-0.852705\pi\) | ||
0.894832 | − | 0.446403i | \(-0.147295\pi\) | |||||||
\(138\) | −20.4589 | − | 0.182596i | −1.74157 | − | 0.0155436i | ||||
\(139\) | 5.08260 | 0.431100 | 0.215550 | − | 0.976493i | \(-0.430846\pi\) | ||||
0.215550 | + | 0.976493i | \(0.430846\pi\) | |||||||
\(140\) | −4.31858 | + | 0.0891446i | −0.364986 | + | 0.00753409i | ||||
\(141\) | −4.64952 | − | 0.668499i | −0.391560 | − | 0.0562978i | ||||
\(142\) | −5.18420 | + | 6.10914i | −0.435048 | + | 0.512668i | ||||
\(143\) | −0.244402 | + | 0.0717628i | −0.0204379 | + | 0.00600110i | ||||
\(144\) | −15.2040 | + | 19.0839i | −1.26700 | + | 1.59032i | ||||
\(145\) | −5.85619 | + | 5.07442i | −0.486330 | + | 0.421407i | ||||
\(146\) | −17.4530 | − | 2.32580i | −1.44442 | − | 0.192484i | ||||
\(147\) | 6.75988 | + | 1.98488i | 0.557546 | + | 0.163710i | ||||
\(148\) | −6.79913 | + | 2.14978i | −0.558885 | + | 0.176711i | ||||
\(149\) | −16.5149 | − | 10.6135i | −1.35296 | − | 0.869492i | −0.355093 | − | 0.934831i | \(-0.615551\pi\) |
−0.997863 | + | 0.0653390i | \(0.979187\pi\) | |||||||
\(150\) | 3.19513 | − | 2.82685i | 0.260881 | − | 0.230811i | ||||
\(151\) | −12.4236 | − | 10.7651i | −1.01102 | − | 0.876054i | −0.0187098 | − | 0.999825i | \(-0.505956\pi\) |
−0.992311 | + | 0.123771i | \(0.960501\pi\) | |||||||
\(152\) | −3.18400 | − | 6.43689i | −0.258257 | − | 0.522100i | ||||
\(153\) | −6.64588 | + | 0.955533i | −0.537287 | + | 0.0772502i | ||||
\(154\) | 0.626012 | + | 1.33417i | 0.0504455 | + | 0.107510i | ||||
\(155\) | 4.05305 | − | 1.85097i | 0.325549 | − | 0.148673i | ||||
\(156\) | −0.834062 | + | 3.07387i | −0.0667784 | + | 0.246106i | ||||
\(157\) | 1.97474 | − | 4.32408i | 0.157601 | − | 0.345099i | −0.814316 | − | 0.580422i | \(-0.802888\pi\) |
0.971917 | + | 0.235323i | \(0.0756149\pi\) | |||||||
\(158\) | −2.41893 | − | 1.07466i | −0.192440 | − | 0.0854955i | ||||
\(159\) | 1.62426 | − | 1.04385i | 0.128812 | − | 0.0827827i | ||||
\(160\) | 5.55030 | − | 1.09277i | 0.438790 | − | 0.0863907i | ||||
\(161\) | 5.43113 | + | 8.81967i | 0.428033 | + | 0.695088i | ||||
\(162\) | 3.80937 | − | 13.4868i | 0.299292 | − | 1.05963i | ||||
\(163\) | −18.0513 | + | 11.6009i | −1.41389 | + | 0.908651i | −0.999999 | − | 0.00167569i | \(-0.999467\pi\) |
−0.413890 | + | 0.910327i | \(0.635830\pi\) | |||||||
\(164\) | −6.76754 | + | 8.14386i | −0.528456 | + | 0.635928i | ||||
\(165\) | −1.32400 | − | 0.604649i | −0.103073 | − | 0.0470718i | ||||
\(166\) | 10.7231 | − | 0.110662i | 0.832278 | − | 0.00858907i | ||||
\(167\) | 3.02919 | − | 1.38339i | 0.234406 | − | 0.107050i | −0.294749 | − | 0.955575i | \(-0.595236\pi\) |
0.529155 | + | 0.848525i | \(0.322509\pi\) | |||||||
\(168\) | 18.3124 | + | 2.05666i | 1.41284 | + | 0.158675i | ||||
\(169\) | −1.81043 | − | 12.5918i | −0.139264 | − | 0.968602i | ||||
\(170\) | 1.31813 | + | 0.828014i | 0.101096 | + | 0.0635058i | ||||
\(171\) | 11.7048 | + | 10.1423i | 0.895091 | + | 0.775601i | ||||
\(172\) | −17.1280 | + | 8.25347i | −1.30600 | + | 0.629321i | ||||
\(173\) | 1.52566 | − | 2.37398i | 0.115994 | − | 0.180490i | −0.778402 | − | 0.627766i | \(-0.783969\pi\) |
0.894396 | + | 0.447276i | \(0.147606\pi\) | |||||||
\(174\) | 27.6240 | − | 18.1584i | 2.09417 | − | 1.37658i | ||||
\(175\) | −2.07226 | − | 0.608471i | −0.156648 | − | 0.0459961i | ||||
\(176\) | −1.10956 | − | 1.57919i | −0.0836361 | − | 0.119036i | ||||
\(177\) | 22.0036 | + | 25.3935i | 1.65389 | + | 1.90869i | ||||
\(178\) | 3.78849 | + | 24.5484i | 0.283959 | + | 1.83998i | ||||
\(179\) | −5.50605 | + | 1.61672i | −0.411541 | + | 0.120839i | −0.480948 | − | 0.876749i | \(-0.659707\pi\) |
0.0694069 | + | 0.997588i | \(0.477889\pi\) | |||||||
\(180\) | −10.1249 | + | 6.80619i | −0.754668 | + | 0.507304i | ||||
\(181\) | −1.55415 | + | 10.8094i | −0.115519 | + | 0.803455i | 0.846874 | + | 0.531794i | \(0.178482\pi\) |
−0.962393 | + | 0.271661i | \(0.912427\pi\) | |||||||
\(182\) | 1.54234 | − | 0.470214i | 0.114326 | − | 0.0348546i | ||||
\(183\) | 31.3033 | 2.31401 | ||||||||
\(184\) | −9.00244 | − | 10.1467i | −0.663669 | − | 0.748027i | ||||
\(185\) | −3.56545 | −0.262137 | ||||||||
\(186\) | −18.1824 | + | 5.54329i | −1.33320 | + | 0.406453i | ||||
\(187\) | 0.0755820 | − | 0.525685i | 0.00552711 | − | 0.0384419i | ||||
\(188\) | −1.73743 | − | 2.58461i | −0.126715 | − | 0.188502i | ||||
\(189\) | −19.3786 | + | 5.69008i | −1.40959 | + | 0.413892i | ||||
\(190\) | −0.547653 | − | 3.54865i | −0.0397310 | − | 0.257446i | ||||
\(191\) | −7.84295 | − | 9.05125i | −0.567496 | − | 0.654925i | 0.397373 | − | 0.917657i | \(-0.369922\pi\) |
−0.964869 | + | 0.262732i | \(0.915376\pi\) | |||||||
\(192\) | −24.0867 | + | 1.49330i | −1.73831 | + | 0.107769i | ||||
\(193\) | 13.3549 | + | 3.92134i | 0.961304 | + | 0.282264i | 0.724486 | − | 0.689290i | \(-0.242077\pi\) |
0.236818 | + | 0.971554i | \(0.423895\pi\) | |||||||
\(194\) | 18.2188 | − | 11.9760i | 1.30804 | − | 0.859826i | ||||
\(195\) | −0.860974 | + | 1.33970i | −0.0616557 | + | 0.0959381i | ||||
\(196\) | 2.02767 | + | 4.20792i | 0.144833 | + | 0.300565i | ||||
\(197\) | −7.46744 | − | 6.47057i | −0.532033 | − | 0.461009i | 0.346936 | − | 0.937889i | \(-0.387222\pi\) |
−0.878968 | + | 0.476880i | \(0.841768\pi\) | |||||||
\(198\) | 3.52467 | + | 2.21411i | 0.250487 | + | 0.157350i | ||||
\(199\) | −3.50663 | − | 24.3892i | −0.248579 | − | 1.72890i | −0.606441 | − | 0.795129i | \(-0.707403\pi\) |
0.357862 | − | 0.933774i | \(-0.383506\pi\) | |||||||
\(200\) | 2.81076 | + | 0.315675i | 0.198750 | + | 0.0223216i | ||||
\(201\) | 1.75667 | − | 0.802244i | 0.123906 | − | 0.0565860i | ||||
\(202\) | −17.0669 | + | 0.176130i | −1.20082 | + | 0.0123924i | ||||
\(203\) | −15.2232 | − | 6.95221i | −1.06846 | − | 0.487949i | ||||
\(204\) | −5.10743 | − | 4.24427i | −0.357592 | − | 0.297158i | ||||
\(205\) | −4.45392 | + | 2.86236i | −0.311075 | + | 0.199916i | ||||
\(206\) | −0.0289482 | + | 0.102490i | −0.00201692 | + | 0.00714079i | ||||
\(207\) | 26.3720 | + | 12.6626i | 1.83298 | + | 0.880109i | ||||
\(208\) | −1.88299 | + | 0.955729i | −0.130562 | + | 0.0662679i | ||||
\(209\) | −1.03059 | + | 0.662322i | −0.0712876 | + | 0.0458138i | ||||
\(210\) | 8.42021 | + | 3.74085i | 0.581050 | + | 0.258143i | ||||
\(211\) | −0.576404 | + | 1.26215i | −0.0396813 | + | 0.0868899i | −0.928435 | − | 0.371496i | \(-0.878845\pi\) |
0.888753 | + | 0.458386i | \(0.151572\pi\) | |||||||
\(212\) | 1.23542 | + | 0.335217i | 0.0848487 | + | 0.0230228i | ||||
\(213\) | 15.5464 | − | 7.09981i | 1.06522 | − | 0.486471i | ||||
\(214\) | 4.36032 | + | 9.29279i | 0.298066 | + | 0.635242i | ||||
\(215\) | −9.40966 | + | 1.35291i | −0.641734 | + | 0.0922674i | ||||
\(216\) | 23.7080 | − | 11.7271i | 1.61312 | − | 0.797930i | ||||
\(217\) | 7.27273 | + | 6.30186i | 0.493705 | + | 0.427798i | ||||
\(218\) | 4.57051 | − | 4.04370i | 0.309554 | − | 0.273874i | ||||
\(219\) | 31.5954 | + | 20.3052i | 2.13502 | + | 1.37210i | ||||
\(220\) | −0.290925 | − | 0.920110i | −0.0196142 | − | 0.0620338i | ||||
\(221\) | −0.557533 | − | 0.163706i | −0.0375037 | − | 0.0110121i | ||||
\(222\) | 15.0774 | + | 2.00922i | 1.01193 | + | 0.134850i | ||||
\(223\) | 19.6080 | − | 16.9905i | 1.31305 | − | 1.13777i | 0.332158 | − | 0.943224i | \(-0.392223\pi\) |
0.980894 | − | 0.194542i | \(-0.0623221\pi\) | |||||||
\(224\) | 7.12651 | + | 9.92357i | 0.476160 | + | 0.663047i | ||||
\(225\) | −5.85288 | + | 1.71856i | −0.390192 | + | 0.114571i | ||||
\(226\) | −10.9845 | + | 12.9443i | −0.730680 | + | 0.861045i | ||||
\(227\) | 10.4390 | + | 1.50090i | 0.692860 | + | 0.0996182i | 0.479744 | − | 0.877409i | \(-0.340730\pi\) |
0.213116 | + | 0.977027i | \(0.431639\pi\) | |||||||
\(228\) | 0.316134 | + | 15.3150i | 0.0209365 | + | 1.01426i | ||||
\(229\) | 4.84212 | 0.319976 | 0.159988 | − | 0.987119i | \(-0.448854\pi\) | ||||
0.159988 | + | 0.987119i | \(0.448854\pi\) | |||||||
\(230\) | −2.76231 | − | 6.19432i | −0.182141 | − | 0.408442i | ||||
\(231\) | − | 3.14358i | − | 0.206832i | ||||||
\(232\) | 21.2103 | + | 5.52085i | 1.39253 | + | 0.362462i | ||||
\(233\) | 3.11432 | − | 21.6606i | 0.204026 | − | 1.41903i | −0.588156 | − | 0.808748i | \(-0.700146\pi\) |
0.792182 | − | 0.610285i | \(-0.208945\pi\) | |||||||
\(234\) | 2.94664 | − | 3.47236i | 0.192628 | − | 0.226996i | ||||
\(235\) | −0.438700 | − | 1.49408i | −0.0286176 | − | 0.0974627i | ||||
\(236\) | −2.71459 | + | 22.1109i | −0.176705 | + | 1.43930i | ||||
\(237\) | 3.69738 | + | 4.26700i | 0.240170 | + | 0.277171i | ||||
\(238\) | −0.444084 | + | 3.33245i | −0.0287857 | + | 0.216010i | ||||
\(239\) | −0.419264 | + | 1.42788i | −0.0271199 | + | 0.0923621i | −0.971941 | − | 0.235225i | \(-0.924417\pi\) |
0.944821 | + | 0.327587i | \(0.106235\pi\) | |||||||
\(240\) | −11.7081 | − | 2.91885i | −0.755755 | − | 0.188411i | ||||
\(241\) | 4.37954 | − | 6.81469i | 0.282111 | − | 0.438973i | −0.671061 | − | 0.741402i | \(-0.734161\pi\) |
0.953172 | + | 0.302429i | \(0.0977976\pi\) | |||||||
\(242\) | 11.4044 | − | 10.0899i | 0.733100 | − | 0.648601i | ||||
\(243\) | −1.20470 | + | 1.39030i | −0.0772814 | + | 0.0891875i | ||||
\(244\) | 13.9117 | + | 15.4009i | 0.890607 | + | 0.985943i | ||||
\(245\) | 0.332374 | + | 2.31171i | 0.0212346 | + | 0.147690i | ||||
\(246\) | 20.4476 | − | 9.59432i | 1.30369 | − | 0.611712i | ||||
\(247\) | 0.556805 | + | 1.21923i | 0.0354286 | + | 0.0775779i | ||||
\(248\) | −10.8078 | − | 6.48206i | −0.686298 | − | 0.411611i | ||||
\(249\) | −20.8073 | − | 9.50238i | −1.31861 | − | 0.602189i | ||||
\(250\) | 1.29241 | + | 0.574179i | 0.0817391 | + | 0.0363143i | ||||
\(251\) | −3.99664 | − | 6.21890i | −0.252266 | − | 0.392533i | 0.691906 | − | 0.721988i | \(-0.256771\pi\) |
−0.944171 | + | 0.329455i | \(0.893135\pi\) | |||||||
\(252\) | −22.4553 | − | 13.7848i | −1.41455 | − | 0.868358i | ||||
\(253\) | −1.54872 | + | 1.71933i | −0.0973675 | + | 0.108093i | ||||
\(254\) | 19.4719 | + | 5.49985i | 1.22178 | + | 0.345091i | ||||
\(255\) | −1.79513 | − | 2.79328i | −0.112416 | − | 0.174922i | ||||
\(256\) | −11.4392 | − | 11.1868i | −0.714952 | − | 0.699174i | ||||
\(257\) | 10.8442 | − | 23.7456i | 0.676445 | − | 1.48121i | −0.189922 | − | 0.981799i | \(-0.560823\pi\) |
0.866367 | − | 0.499409i | \(-0.166449\pi\) | |||||||
\(258\) | 40.5536 | − | 0.418511i | 2.52476 | − | 0.0260554i | ||||
\(259\) | −3.19889 | − | 7.00459i | −0.198769 | − | 0.435244i | ||||
\(260\) | −1.04175 | + | 0.171795i | −0.0646068 | + | 0.0106543i | ||||
\(261\) | −46.7867 | + | 6.72691i | −2.89602 | + | 0.416385i | ||||
\(262\) | −5.04508 | + | 8.03133i | −0.311686 | + | 0.496177i | ||||
\(263\) | −19.2852 | + | 22.2564i | −1.18918 | + | 1.37239i | −0.277893 | + | 0.960612i | \(0.589636\pi\) |
−0.911286 | + | 0.411774i | \(0.864909\pi\) | |||||||
\(264\) | 0.711745 | + | 4.05487i | 0.0438049 | + | 0.249560i | ||||
\(265\) | 0.538439 | + | 0.346034i | 0.0330760 | + | 0.0212567i | ||||
\(266\) | 6.48024 | − | 4.25973i | 0.397329 | − | 0.261181i | ||||
\(267\) | 14.9271 | − | 50.8371i | 0.913526 | − | 3.11118i | ||||
\(268\) | 1.17539 | + | 0.507734i | 0.0717985 | + | 0.0310148i | ||||
\(269\) | 7.93844 | − | 6.87870i | 0.484016 | − | 0.419402i | −0.378370 | − | 0.925655i | \(-0.623515\pi\) |
0.862385 | + | 0.506253i | \(0.168970\pi\) | |||||||
\(270\) | 13.0702 | − | 2.01709i | 0.795426 | − | 0.122756i | ||||
\(271\) | 7.19233 | + | 24.4948i | 0.436903 | + | 1.48796i | 0.824359 | + | 0.566067i | \(0.191536\pi\) |
−0.387456 | + | 0.921888i | \(0.626646\pi\) | |||||||
\(272\) | −0.181688 | − | 4.39903i | −0.0110165 | − | 0.266731i | ||||
\(273\) | −3.40441 | − | 0.489480i | −0.206044 | − | 0.0296247i | ||||
\(274\) | −14.1362 | + | 4.30971i | −0.854000 | + | 0.260359i | ||||
\(275\) | − | 0.482504i | − | 0.0290961i | ||||||
\(276\) | 8.19047 | + | 27.7509i | 0.493008 | + | 1.67041i | ||||
\(277\) | 13.6362i | 0.819319i | 0.912238 | + | 0.409660i | \(0.134353\pi\) | ||||
−0.912238 | + | 0.409660i | \(0.865647\pi\) | |||||||
\(278\) | −2.09612 | − | 6.87545i | −0.125717 | − | 0.412362i | ||||
\(279\) | 26.9030 | + | 3.86807i | 1.61064 | + | 0.231575i | ||||
\(280\) | 1.90162 | + | 5.80517i | 0.113644 | + | 0.346925i | ||||
\(281\) | −6.63895 | − | 22.6102i | −0.396046 | − | 1.34881i | −0.880522 | − | 0.474005i | \(-0.842808\pi\) |
0.484476 | − | 0.874805i | \(-0.339010\pi\) | |||||||
\(282\) | 1.01320 | + | 6.56530i | 0.0603355 | + | 0.390958i | ||||
\(283\) | 0.179403 | − | 0.155454i | 0.0106644 | − | 0.00924078i | −0.649512 | − | 0.760351i | \(-0.725027\pi\) |
0.660177 | + | 0.751110i | \(0.270481\pi\) | |||||||
\(284\) | 10.4021 | + | 4.49341i | 0.617253 | + | 0.266635i | ||||
\(285\) | −2.15783 | + | 7.34888i | −0.127819 | + | 0.435310i | ||||
\(286\) | 0.197871 | + | 0.301017i | 0.0117003 | + | 0.0177995i | ||||
\(287\) | −9.61934 | − | 6.18198i | −0.567812 | − | 0.364911i | ||||
\(288\) | 32.0859 | + | 12.6966i | 1.89068 | + | 0.748157i | ||||
\(289\) | −10.3392 | + | 11.9321i | −0.608191 | + | 0.701890i | ||||
\(290\) | 9.27955 | + | 5.82918i | 0.544914 | + | 0.342301i | ||||
\(291\) | −46.0330 | + | 6.61854i | −2.69850 | + | 0.387986i | ||||
\(292\) | 4.05161 | + | 24.5686i | 0.237102 | + | 1.43777i | ||||
\(293\) | 10.8927 | + | 23.8516i | 0.636356 | + | 1.39342i | 0.903005 | + | 0.429631i | \(0.141356\pi\) |
−0.266649 | + | 0.963794i | \(0.585916\pi\) | |||||||
\(294\) | −0.102818 | − | 9.96298i | −0.00599644 | − | 0.581053i | ||||
\(295\) | −4.62708 | + | 10.1319i | −0.269399 | + | 0.589901i | ||||
\(296\) | 5.71214 | + | 8.31088i | 0.332012 | + | 0.483060i | ||||
\(297\) | −2.43943 | − | 3.79582i | −0.141550 | − | 0.220256i | ||||
\(298\) | −7.54641 | + | 26.7176i | −0.437152 | + | 1.54771i | ||||
\(299\) | 1.62083 | + | 1.94494i | 0.0937352 | + | 0.112479i | ||||
\(300\) | −5.14171 | − | 3.15637i | −0.296857 | − | 0.182233i | ||||
\(301\) | −11.1002 | − | 17.2722i | −0.639803 | − | 0.995552i | ||||
\(302\) | −9.43883 | + | 21.2457i | −0.543144 | + | 1.22255i | ||||
\(303\) | 33.1168 | + | 15.1239i | 1.90251 | + | 0.868847i | ||||
\(304\) | −7.39434 | + | 6.96178i | −0.424095 | + | 0.399286i | ||||
\(305\) | 4.31074 | + | 9.43921i | 0.246832 | + | 0.540488i | ||||
\(306\) | 4.03343 | + | 8.59610i | 0.230576 | + | 0.491406i | ||||
\(307\) | −0.734146 | − | 5.10610i | −0.0418999 | − | 0.291420i | −0.999988 | − | 0.00494582i | \(-0.998426\pi\) |
0.958088 | − | 0.286475i | \(-0.0924834\pi\) | |||||||
\(308\) | 1.54661 | − | 1.39706i | 0.0881263 | − | 0.0796049i | ||||
\(309\) | 0.148765 | − | 0.171684i | 0.00846295 | − | 0.00976676i | ||||
\(310\) | −4.17541 | − | 4.71938i | −0.237147 | − | 0.268043i | ||||
\(311\) | −3.99032 | + | 6.20906i | −0.226270 | + | 0.352084i | −0.935763 | − | 0.352629i | \(-0.885288\pi\) |
0.709493 | + | 0.704713i | \(0.248924\pi\) | |||||||
\(312\) | 4.50213 | − | 0.139425i | 0.254883 | − | 0.00789339i | ||||
\(313\) | −9.59787 | + | 32.6874i | −0.542504 | + | 1.84760i | −0.0119808 | + | 0.999928i | \(0.503814\pi\) |
−0.530523 | + | 0.847670i | \(0.678004\pi\) | |||||||
\(314\) | −6.66377 | − | 0.888019i | −0.376059 | − | 0.0501138i | ||||
\(315\) | −8.62740 | − | 9.95655i | −0.486099 | − | 0.560988i | ||||
\(316\) | −0.456147 | + | 3.71540i | −0.0256603 | + | 0.209008i | ||||
\(317\) | −2.83066 | − | 9.64035i | −0.158986 | − | 0.541456i | −1.00000 | 0.000442633i | \(-0.999859\pi\) | |
0.841014 | − | 0.541013i | \(-0.181959\pi\) | |||||||
\(318\) | −2.08193 | − | 1.76672i | −0.116749 | − | 0.0990725i | ||||
\(319\) | 0.532094 | − | 3.70079i | 0.0297915 | − | 0.207205i | ||||
\(320\) | −3.76724 | − | 7.05747i | −0.210595 | − | 0.394525i | ||||
\(321\) | − | 21.8958i | − | 1.22210i | ||||||
\(322\) | 9.69090 | − | 10.9843i | 0.540053 | − | 0.612129i | ||||
\(323\) | −2.79465 | −0.155498 | ||||||||
\(324\) | −19.8153 | + | 0.409029i | −1.10085 | + | 0.0227238i | ||||
\(325\) | −0.522538 | − | 0.0751297i | −0.0289852 | − | 0.00416744i | ||||
\(326\) | 23.1376 | + | 19.6345i | 1.28147 | + | 1.08745i | ||||
\(327\) | −12.4899 | + | 3.66735i | −0.690691 | + | 0.202805i | ||||
\(328\) | 13.8076 | + | 5.79613i | 0.762395 | + | 0.320038i | ||||
\(329\) | 2.54163 | − | 2.20233i | 0.140124 | − | 0.121419i | ||||
\(330\) | −0.271904 | + | 2.04039i | −0.0149678 | + | 0.112320i | ||||
\(331\) | 19.8081 | + | 5.81617i | 1.08875 | + | 0.319686i | 0.776374 | − | 0.630273i | \(-0.217057\pi\) |
0.312376 | + | 0.949959i | \(0.398875\pi\) | |||||||
\(332\) | −4.57205 | − | 14.4600i | −0.250924 | − | 0.793598i | ||||
\(333\) | −18.2965 | − | 11.7585i | −1.00264 | − | 0.644360i | ||||
\(334\) | −3.12064 | − | 3.52720i | −0.170754 | − | 0.193000i | ||||
\(335\) | 0.483818 | + | 0.419231i | 0.0264338 | + | 0.0229050i | ||||
\(336\) | −4.77013 | − | 25.6202i | −0.260232 | − | 1.39770i | ||||
\(337\) | −21.3091 | + | 3.06379i | −1.16078 | + | 0.166895i | −0.695674 | − | 0.718358i | \(-0.744894\pi\) |
−0.465109 | + | 0.885253i | \(0.653985\pi\) | |||||||
\(338\) | −16.2869 | + | 7.64206i | −0.885889 | + | 0.415673i | ||||
\(339\) | 32.9405 | − | 15.0434i | 1.78908 | − | 0.817046i | ||||
\(340\) | 0.576480 | − | 2.12457i | 0.0312640 | − | 0.115221i | ||||
\(341\) | −0.893099 | + | 1.95561i | −0.0483640 | + | 0.105902i | ||||
\(342\) | 8.89272 | − | 20.0164i | 0.480863 | − | 1.08237i | ||||
\(343\) | −16.9616 | + | 10.9006i | −0.915841 | + | 0.588575i | ||||
\(344\) | 18.2286 | + | 19.7660i | 0.982821 | + | 1.06571i | ||||
\(345\) | −0.278395 | + | 14.4645i | −0.0149883 | + | 0.778743i | ||||
\(346\) | −3.84059 | − | 1.08478i | −0.206471 | − | 0.0583179i | ||||
\(347\) | 15.2256 | − | 9.78488i | 0.817352 | − | 0.525280i | −0.0638838 | − | 0.997957i | \(-0.520349\pi\) |
0.881236 | + | 0.472677i | \(0.156712\pi\) | |||||||
\(348\) | −35.9561 | − | 29.8795i | −1.92745 | − | 1.60171i | ||||
\(349\) | 19.6330 | + | 8.96610i | 1.05093 | + | 0.479944i | 0.864557 | − | 0.502534i | \(-0.167599\pi\) |
0.186375 | + | 0.982479i | \(0.440326\pi\) | |||||||
\(350\) | 0.0315190 | + | 3.05418i | 0.00168476 | + | 0.163253i | ||||
\(351\) | −4.49061 | + | 2.05079i | −0.239691 | + | 0.109463i | ||||
\(352\) | −1.67865 | + | 2.15222i | −0.0894721 | + | 0.114714i | ||||
\(353\) | −1.38940 | − | 9.66346i | −0.0739501 | − | 0.514334i | −0.992805 | − | 0.119739i | \(-0.961794\pi\) |
0.918855 | − | 0.394595i | \(-0.129115\pi\) | |||||||
\(354\) | 25.2764 | − | 40.2378i | 1.34342 | − | 2.13861i | ||||
\(355\) | 4.28176 | + | 3.71016i | 0.227252 | + | 0.196915i | ||||
\(356\) | 31.6453 | − | 15.2489i | 1.67720 | − | 0.808190i | ||||
\(357\) | 3.87703 | − | 6.03278i | 0.205194 | − | 0.319289i | ||||
\(358\) | 4.45777 | + | 6.78152i | 0.235600 | + | 0.358414i | ||||
\(359\) | 12.9111 | + | 3.79103i | 0.681419 | + | 0.200083i | 0.604082 | − | 0.796922i | \(-0.293540\pi\) |
0.0773373 | + | 0.997005i | \(0.475358\pi\) | |||||||
\(360\) | 13.3827 | + | 10.8895i | 0.705329 | + | 0.573927i | ||||
\(361\) | −8.22085 | − | 9.48736i | −0.432676 | − | 0.499335i | ||||
\(362\) | 15.2633 | − | 2.35554i | 0.802220 | − | 0.123804i | ||||
\(363\) | −31.1648 | + | 9.15081i | −1.63573 | + | 0.480293i | ||||
\(364\) | −1.27216 | − | 1.89247i | −0.0666792 | − | 0.0991924i | ||||
\(365\) | −1.77185 | + | 12.3235i | −0.0927430 | + | 0.645042i | ||||
\(366\) | −12.9098 | − | 42.3453i | −0.674808 | − | 2.21343i | ||||
\(367\) | 2.48501 | 0.129716 | 0.0648581 | − | 0.997894i | \(-0.479341\pi\) | ||||
0.0648581 | + | 0.997894i | \(0.479341\pi\) | |||||||
\(368\) | −10.0132 | + | 16.3626i | −0.521975 | + | 0.852961i | ||||
\(369\) | −32.2956 | −1.68124 | ||||||||
\(370\) | 1.47043 | + | 4.82314i | 0.0764441 | + | 0.250743i | ||||
\(371\) | −0.196726 | + | 1.36826i | −0.0102135 | + | 0.0710366i | ||||
\(372\) | 14.9973 | + | 22.3101i | 0.777574 | + | 1.15672i | ||||
\(373\) | −33.3038 | + | 9.77889i | −1.72441 | + | 0.506332i | −0.985817 | − | 0.167824i | \(-0.946326\pi\) |
−0.738590 | + | 0.674155i | \(0.764508\pi\) | |||||||
\(374\) | −0.742288 | + | 0.114555i | −0.0383828 | + | 0.00592351i | ||||
\(375\) | −1.97546 | − | 2.27981i | −0.102012 | − | 0.117729i | ||||
\(376\) | −2.77978 | + | 3.41622i | −0.143356 | + | 0.176178i | ||||
\(377\) | −3.92501 | − | 1.15249i | −0.202148 | − | 0.0593561i | ||||
\(378\) | 15.6892 | + | 23.8677i | 0.806965 | + | 1.22762i | ||||
\(379\) | 17.2970 | − | 26.9146i | 0.888487 | − | 1.38251i | −0.0352067 | − | 0.999380i | \(-0.511209\pi\) |
0.923693 | − | 0.383132i | \(-0.125155\pi\) | |||||||
\(380\) | −4.57456 | + | 2.20434i | −0.234670 | + | 0.113080i | ||||
\(381\) | −32.6181 | − | 28.2638i | −1.67108 | − | 1.44800i | ||||
\(382\) | −9.00950 | + | 14.3423i | −0.460966 | + | 0.733818i | ||||
\(383\) | 1.09135 | + | 7.59048i | 0.0557652 | + | 0.387855i | 0.998521 | + | 0.0543709i | \(0.0173153\pi\) |
−0.942756 | + | 0.333484i | \(0.891776\pi\) | |||||||
\(384\) | 11.9537 | + | 31.9673i | 0.610008 | + | 1.63132i | ||||
\(385\) | 0.947916 | − | 0.432899i | 0.0483103 | − | 0.0220626i | ||||
\(386\) | −0.203127 | − | 19.6829i | −0.0103389 | − | 1.00183i | ||||
\(387\) | −52.7486 | − | 24.0895i | −2.68136 | − | 1.22454i | ||||
\(388\) | −23.7141 | − | 19.7064i | −1.20390 | − | 1.00044i | ||||
\(389\) | −9.40313 | + | 6.04302i | −0.476757 | + | 0.306393i | −0.756860 | − | 0.653577i | \(-0.773268\pi\) |
0.280103 | + | 0.959970i | \(0.409631\pi\) | |||||||
\(390\) | 2.16735 | + | 0.612169i | 0.109748 | + | 0.0309984i | ||||
\(391\) | −5.09261 | + | 1.38946i | −0.257544 | + | 0.0702678i | ||||
\(392\) | 4.85600 | − | 4.47831i | 0.245265 | − | 0.226189i | ||||
\(393\) | 17.0194 | − | 10.9377i | 0.858516 | − | 0.551735i | ||||
\(394\) | −5.67337 | + | 12.7701i | −0.285820 | + | 0.643347i | ||||
\(395\) | −0.777511 | + | 1.70251i | −0.0391208 | + | 0.0856627i | ||||
\(396\) | 1.54151 | − | 5.68110i | 0.0774637 | − | 0.285486i | ||||
\(397\) | 22.0159 | − | 10.0543i | 1.10495 | − | 0.504612i | 0.222456 | − | 0.974943i | \(-0.428593\pi\) |
0.882490 | + | 0.470331i | \(0.155866\pi\) | |||||||
\(398\) | −31.5461 | + | 14.8020i | −1.58127 | + | 0.741955i | ||||
\(399\) | −16.3734 | + | 2.35414i | −0.819696 | + | 0.117855i | ||||
\(400\) | −0.732161 | − | 3.93242i | −0.0366080 | − | 0.196621i | ||||
\(401\) | −17.1431 | − | 14.8545i | −0.856083 | − | 0.741800i | 0.111658 | − | 0.993747i | \(-0.464384\pi\) |
−0.967741 | + | 0.251946i | \(0.918929\pi\) | |||||||
\(402\) | −1.80970 | − | 2.04547i | −0.0902597 | − | 0.102019i | ||||
\(403\) | 1.97881 | + | 1.27171i | 0.0985717 | + | 0.0633482i | ||||
\(404\) | 7.27684 | + | 23.0145i | 0.362036 | + | 1.14501i | ||||
\(405\) | −9.50833 | − | 2.79190i | −0.472473 | − | 0.138731i | ||||
\(406\) | −3.12633 | + | 23.4603i | −0.155157 | + | 1.16431i | ||||
\(407\) | 1.30015 | − | 1.12658i | 0.0644460 | − | 0.0558427i | ||||
\(408\) | −3.63505 | + | 8.65943i | −0.179962 | + | 0.428706i | ||||
\(409\) | 28.0301 | − | 8.23037i | 1.38600 | − | 0.406966i | 0.498145 | − | 0.867094i | \(-0.334015\pi\) |
0.887853 | + | 0.460128i | \(0.152196\pi\) | |||||||
\(410\) | 5.70889 | + | 4.84454i | 0.281942 | + | 0.239255i | ||||
\(411\) | 31.2029 | + | 4.48629i | 1.53912 | + | 0.221293i | ||||
\(412\) | 0.150581 | − | 0.00310831i | 0.00741858 | − | 0.000153135i | ||||
\(413\) | −24.0562 | −1.18373 | ||||||||
\(414\) | 6.25309 | − | 40.8967i | 0.307323 | − | 2.00997i | ||||
\(415\) | − | 7.58281i | − | 0.372226i | ||||||
\(416\) | 2.06942 | + | 2.15305i | 0.101462 | + | 0.105562i | ||||
\(417\) | −2.18201 | + | 15.1762i | −0.106853 | + | 0.743181i | ||||
\(418\) | 1.32098 | + | 1.12098i | 0.0646113 | + | 0.0548289i | ||||
\(419\) | 0.562285 | + | 1.91497i | 0.0274694 | + | 0.0935522i | 0.972087 | − | 0.234621i | \(-0.0753851\pi\) |
−0.944617 | + | 0.328174i | \(0.893567\pi\) | |||||||
\(420\) | 1.58783 | − | 12.9332i | 0.0774780 | − | 0.631074i | ||||
\(421\) | 0.532308 | + | 0.614316i | 0.0259431 | + | 0.0299399i | 0.768573 | − | 0.639762i | \(-0.220967\pi\) |
−0.742630 | + | 0.669702i | \(0.766422\pi\) | |||||||
\(422\) | 1.94508 | + | 0.259202i | 0.0946850 | + | 0.0126178i | ||||
\(423\) | 2.67606 | − | 9.11382i | 0.130114 | − | 0.443129i | ||||
\(424\) | −0.0560362 | − | 1.80945i | −0.00272136 | − | 0.0878746i | ||||
\(425\) | 0.595081 | − | 0.925965i | 0.0288657 | − | 0.0449159i | ||||
\(426\) | −16.0157 | − | 18.1023i | −0.775965 | − | 0.877058i | ||||
\(427\) | −14.6765 | + | 16.9376i | −0.710245 | + | 0.819666i | ||||
\(428\) | 10.7725 | − | 9.73086i | 0.520709 | − | 0.470359i | ||||
\(429\) | −0.109353 | − | 0.760570i | −0.00527963 | − | 0.0367207i | ||||
\(430\) | 5.71079 | + | 12.1709i | 0.275399 | + | 0.586934i | ||||
\(431\) | −5.50933 | − | 12.0638i | −0.265375 | − | 0.581091i | 0.729295 | − | 0.684199i | \(-0.239848\pi\) |
−0.994670 | + | 0.103109i | \(0.967121\pi\) | |||||||
\(432\) | −25.6412 | − | 27.2344i | −1.23367 | − | 1.31032i | ||||
\(433\) | 35.5534 | + | 16.2367i | 1.70859 | + | 0.780285i | 0.996976 | + | 0.0777109i | \(0.0247611\pi\) |
0.711610 | + | 0.702574i | \(0.247966\pi\) | |||||||
\(434\) | 5.52544 | − | 12.4371i | 0.265230 | − | 0.597000i | ||||
\(435\) | −12.6376 | − | 19.6646i | −0.605929 | − | 0.942843i | ||||
\(436\) | −7.35502 | − | 4.51506i | −0.352241 | − | 0.216232i | ||||
\(437\) | 10.1150 | + | 6.77902i | 0.483864 | + | 0.324285i | ||||
\(438\) | 14.4374 | − | 51.1146i | 0.689844 | − | 2.44235i | ||||
\(439\) | −3.58757 | − | 5.58236i | −0.171225 | − | 0.266432i | 0.745026 | − | 0.667035i | \(-0.232437\pi\) |
−0.916252 | + | 0.400603i | \(0.868801\pi\) | |||||||
\(440\) | −1.12469 | + | 0.773011i | −0.0536176 | + | 0.0368519i | ||||
\(441\) | −5.91817 | + | 12.9590i | −0.281818 | + | 0.617095i | ||||
\(442\) | 0.00848006 | + | 0.821714i | 0.000403355 | + | 0.0390850i | ||||
\(443\) | −8.98524 | − | 19.6749i | −0.426902 | − | 0.934784i | −0.993819 | − | 0.111010i | \(-0.964591\pi\) |
0.566918 | − | 0.823775i | \(-0.308136\pi\) | |||||||
\(444\) | −3.50013 | − | 21.2245i | −0.166109 | − | 1.00727i | ||||
\(445\) | 17.3851 | − | 2.49959i | 0.824131 | − | 0.118492i | ||||
\(446\) | −31.0703 | − | 19.5176i | −1.47122 | − | 0.924185i | ||||
\(447\) | 38.7810 | − | 44.7556i | 1.83428 | − | 2.11687i | ||||
\(448\) | 10.4850 | − | 13.7329i | 0.495370 | − | 0.648820i | ||||
\(449\) | −4.30542 | − | 2.76693i | −0.203185 | − | 0.130579i | 0.435091 | − | 0.900386i | \(-0.356716\pi\) |
−0.638277 | + | 0.769807i | \(0.720352\pi\) | |||||||
\(450\) | 4.73857 | + | 7.20870i | 0.223378 | + | 0.339821i | ||||
\(451\) | 0.719703 | − | 2.45108i | 0.0338895 | − | 0.115417i | ||||
\(452\) | 22.0405 | + | 9.52086i | 1.03670 | + | 0.447824i | ||||
\(453\) | 37.4773 | − | 32.4743i | 1.76084 | − | 1.52577i | ||||
\(454\) | −2.27482 | − | 14.7403i | −0.106763 | − | 0.691795i | ||||
\(455\) | −0.321219 | − | 1.09397i | −0.0150590 | − | 0.0512862i | ||||
\(456\) | 20.5869 | − | 6.74373i | 0.964070 | − | 0.315804i | ||||
\(457\) | −7.73970 | − | 1.11280i | −0.362048 | − | 0.0520546i | −0.0411094 | − | 0.999155i | \(-0.513089\pi\) |
−0.320939 | + | 0.947100i | \(0.603998\pi\) | |||||||
\(458\) | −1.99695 | − | 6.55015i | −0.0933112 | − | 0.306068i | ||||
\(459\) | − | 10.2931i | − | 0.480440i | ||||||
\(460\) | −7.24013 | + | 6.29131i | −0.337573 | + | 0.293334i | ||||
\(461\) | 10.1583i | 0.473120i | 0.971617 | + | 0.236560i | \(0.0760200\pi\) | ||||
−0.971617 | + | 0.236560i | \(0.923980\pi\) | |||||||
\(462\) | −4.25245 | + | 1.29645i | −0.197842 | + | 0.0603162i | ||||
\(463\) | −36.0086 | − | 5.17726i | −1.67346 | − | 0.240608i | −0.760701 | − | 0.649102i | \(-0.775145\pi\) |
−0.912761 | + | 0.408494i | \(0.866054\pi\) | |||||||
\(464\) | −1.27908 | − | 30.9690i | −0.0593796 | − | 1.43770i | ||||
\(465\) | 3.78681 | + | 12.8967i | 0.175609 | + | 0.598070i | ||||
\(466\) | −30.5856 | + | 4.72020i | −1.41685 | + | 0.218659i | ||||
\(467\) | −1.64133 | + | 1.42222i | −0.0759517 | + | 0.0658125i | −0.692009 | − | 0.721889i | \(-0.743274\pi\) |
0.616058 | + | 0.787701i | \(0.288729\pi\) | |||||||
\(468\) | −5.91245 | − | 2.55400i | −0.273303 | − | 0.118059i | ||||
\(469\) | −0.389533 | + | 1.32663i | −0.0179870 | + | 0.0612580i | ||||
\(470\) | −1.84018 | + | 1.20962i | −0.0848810 | + | 0.0557957i | ||||
\(471\) | 12.0635 | + | 7.75276i | 0.555858 | + | 0.357228i | ||||
\(472\) | 31.0299 | − | 5.44663i | 1.42827 | − | 0.250701i | ||||
\(473\) | 3.00377 | − | 3.46654i | 0.138114 | − | 0.159392i | ||||
\(474\) | 4.24732 | − | 6.76136i | 0.195086 | − | 0.310560i | ||||
\(475\) | −2.51314 | + | 0.361335i | −0.115311 | + | 0.0165792i | ||||
\(476\) | 4.69109 | − | 0.773608i | 0.215016 | − | 0.0354582i | ||||
\(477\) | 1.62188 | + | 3.55143i | 0.0742609 | + | 0.162609i | ||||
\(478\) | 2.10447 | − | 0.0217180i | 0.0962562 | − | 0.000993360i | ||||
\(479\) | −9.93263 | + | 21.7494i | −0.453834 | + | 0.993757i | 0.535016 | + | 0.844842i | \(0.320305\pi\) |
−0.988850 | + | 0.148915i | \(0.952422\pi\) | |||||||
\(480\) | 0.880106 | + | 17.0418i | 0.0401712 | + | 0.777850i | ||||
\(481\) | −1.01762 | − | 1.58344i | −0.0463993 | − | 0.0721988i | ||||
\(482\) | −11.0247 | − | 3.11394i | −0.502162 | − | 0.141836i | ||||
\(483\) | −28.6664 | + | 12.4305i | −1.30437 | + | 0.565608i | ||||
\(484\) | −18.3523 | − | 11.2660i | −0.834195 | − | 0.512092i | ||||
\(485\) | −8.33491 | − | 12.9694i | −0.378469 | − | 0.588909i | ||||
\(486\) | 2.37755 | + | 1.05627i | 0.107848 | + | 0.0479136i | ||||
\(487\) | −3.00977 | − | 1.37452i | −0.136386 | − | 0.0622852i | 0.346053 | − | 0.938215i | \(-0.387522\pi\) |
−0.482439 | + | 0.875930i | \(0.660249\pi\) | |||||||
\(488\) | 15.0962 | − | 25.1705i | 0.683371 | − | 1.13942i | ||||
\(489\) | −26.8896 | − | 58.8800i | −1.21599 | − | 2.66265i | ||||
\(490\) | 2.99008 | − | 1.40300i | 0.135078 | − | 0.0633809i | ||||
\(491\) | −0.389973 | − | 2.71232i | −0.0175993 | − | 0.122405i | 0.979128 | − | 0.203245i | \(-0.0651489\pi\) |
−0.996727 | + | 0.0808398i | \(0.974240\pi\) | |||||||
\(492\) | −21.4115 | − | 23.7035i | −0.965304 | − | 1.06864i | ||||
\(493\) | 5.58539 | − | 6.44589i | 0.251553 | − | 0.290308i | ||||
\(494\) | 1.41968 | − | 1.25604i | 0.0638743 | − | 0.0565119i | ||||
\(495\) | 1.59125 | − | 2.47603i | 0.0715212 | − | 0.111289i | ||||
\(496\) | −4.31130 | + | 17.2935i | −0.193583 | + | 0.776502i | ||||
\(497\) | −3.44734 | + | 11.7406i | −0.154634 | + | 0.526637i | ||||
\(498\) | −4.27312 | + | 32.0659i | −0.191483 | + | 1.43691i | ||||
\(499\) | 6.22175 | + | 7.18028i | 0.278524 | + | 0.321433i | 0.877725 | − | 0.479165i | \(-0.159060\pi\) |
−0.599201 | + | 0.800599i | \(0.704515\pi\) | |||||||
\(500\) | 0.243714 | − | 1.98510i | 0.0108992 | − | 0.0887762i | ||||
\(501\) | 2.83021 | + | 9.63880i | 0.126444 | + | 0.430630i | ||||
\(502\) | −6.76431 | + | 7.97118i | −0.301906 | + | 0.355771i | ||||
\(503\) | −0.641039 | + | 4.45852i | −0.0285825 | + | 0.198796i | −0.999109 | − | 0.0421976i | \(-0.986564\pi\) |
0.970527 | + | 0.240993i | \(0.0774732\pi\) | |||||||
\(504\) | −9.38642 | + | 36.0613i | −0.418104 | + | 1.60630i | ||||
\(505\) | 12.0688i | 0.537052i | ||||||||
\(506\) | 2.96452 | + | 1.38596i | 0.131789 | + | 0.0616134i | ||||
\(507\) | 38.3753 | 1.70431 | ||||||||
\(508\) | −0.590544 | − | 28.6087i | −0.0262012 | − | 1.26931i | ||||
\(509\) | 34.3259 | + | 4.93532i | 1.52147 | + | 0.218754i | 0.851785 | − | 0.523891i | \(-0.175520\pi\) |
0.669685 | + | 0.742646i | \(0.266429\pi\) | |||||||
\(510\) | −3.03826 | + | 3.58034i | −0.134536 | + | 0.158540i | ||||
\(511\) | −25.8002 | + | 7.57561i | −1.14133 | + | 0.335125i | ||||
\(512\) | −10.4152 | + | 20.0879i | −0.460290 | + | 0.887768i | ||||
\(513\) | −17.9438 | + | 15.5484i | −0.792239 | + | 0.686479i | ||||
\(514\) | −36.5940 | − | 4.87653i | −1.61409 | − | 0.215095i | ||||
\(515\) | 0.0722560 | + | 0.0212163i | 0.00318398 | + | 0.000934900i | ||||
\(516\) | −17.2909 | − | 54.6860i | −0.761189 | − | 2.40742i | ||||
\(517\) | 0.632060 | + | 0.406200i | 0.0277980 | + | 0.0178647i | ||||
\(518\) | −8.15616 | + | 7.21606i | −0.358361 | + | 0.317055i | ||||
\(519\) | 6.43351 | + | 5.57467i | 0.282400 | + | 0.244701i | ||||
\(520\) | 0.662026 | + | 1.33838i | 0.0290318 | + | 0.0586916i | ||||
\(521\) | −17.3929 | + | 2.50073i | −0.761998 | + | 0.109559i | −0.512349 | − | 0.858777i | \(-0.671225\pi\) |
−0.249650 | + | 0.968336i | \(0.580315\pi\) | |||||||
\(522\) | 28.3951 | + | 60.5161i | 1.24282 | + | 2.64872i | ||||
\(523\) | −4.36905 | + | 1.99528i | −0.191045 | + | 0.0872474i | −0.508641 | − | 0.860979i | \(-0.669852\pi\) |
0.317596 | + | 0.948226i | \(0.397125\pi\) | |||||||
\(524\) | 12.9450 | + | 3.51249i | 0.565504 | + | 0.153444i | ||||
\(525\) | 2.70648 | − | 5.92637i | 0.118121 | − | 0.258648i | ||||
\(526\) | 38.0606 | + | 16.9092i | 1.65952 | + | 0.737277i | ||||
\(527\) | −4.12583 | + | 2.65151i | −0.179724 | + | 0.115501i | ||||
\(528\) | 5.19166 | − | 2.63508i | 0.225938 | − | 0.114677i | ||||
\(529\) | 21.8027 | + | 7.32422i | 0.947942 | + | 0.318445i | ||||
\(530\) | 0.246037 | − | 0.871078i | 0.0106871 | − | 0.0378372i | ||||
\(531\) | −57.1583 | + | 36.7334i | −2.48046 | + | 1.59409i | ||||
\(532\) | −8.43485 | − | 7.00935i | −0.365697 | − | 0.303894i | ||||
\(533\) | −2.54239 | − | 1.16107i | −0.110123 | − | 0.0502916i | ||||
\(534\) | −74.9258 | + | 0.773231i | −3.24235 | + | 0.0334610i | ||||
\(535\) | 6.60246 | − | 3.01524i | 0.285449 | − | 0.130360i | ||||
\(536\) | 0.202090 | − | 1.79940i | 0.00872895 | − | 0.0777222i | ||||
\(537\) | −2.46359 | − | 17.1346i | −0.106312 | − | 0.739414i | ||||
\(538\) | −12.5790 | − | 7.90183i | −0.542320 | − | 0.340672i | ||||
\(539\) | −0.851640 | − | 0.737950i | −0.0366827 | − | 0.0317858i | ||||
\(540\) | −8.11890 | − | 16.8487i | −0.349382 | − | 0.725055i | ||||
\(541\) | −6.25994 | + | 9.74066i | −0.269136 | + | 0.418784i | −0.949346 | − | 0.314234i | \(-0.898252\pi\) |
0.680210 | + | 0.733018i | \(0.261889\pi\) | |||||||
\(542\) | 30.1691 | − | 19.8313i | 1.29587 | − | 0.851829i | ||||
\(543\) | −31.6086 | − | 9.28113i | −1.35646 | − | 0.398291i | ||||
\(544\) | −5.87584 | + | 2.05999i | −0.251924 | + | 0.0883213i | ||||
\(545\) | −2.82582 | − | 3.26117i | −0.121045 | − | 0.139693i | ||||
\(546\) | 0.741876 | + | 4.80716i | 0.0317493 | + | 0.205727i | ||||
\(547\) | −33.9732 | + | 9.97543i | −1.45259 | + | 0.426519i | −0.910397 | − | 0.413736i | \(-0.864224\pi\) |
−0.542192 | + | 0.840254i | \(0.682406\pi\) | |||||||
\(548\) | 11.6599 | + | 17.3453i | 0.498085 | + | 0.740955i | ||||
\(549\) | −9.00841 | + | 62.6548i | −0.384469 | + | 2.67404i | ||||
\(550\) | −0.652704 | + | 0.198990i | −0.0278314 | + | 0.00848497i | ||||
\(551\) | −19.6742 | −0.838148 | ||||||||
\(552\) | 34.1621 | − | 22.5244i | 1.45403 | − | 0.958702i | ||||
\(553\) | −4.04229 | −0.171896 | ||||||||
\(554\) | 18.4463 | − | 5.62372i | 0.783707 | − | 0.238929i | ||||
\(555\) | 1.53068 | − | 10.6461i | 0.0649737 | − | 0.451902i | ||||
\(556\) | −8.43626 | + | 5.67103i | −0.357777 | + | 0.240505i | ||||
\(557\) | 10.2551 | − | 3.01117i | 0.434523 | − | 0.127588i | −0.0571534 | − | 0.998365i | \(-0.518202\pi\) |
0.491677 | + | 0.870778i | \(0.336384\pi\) | |||||||
\(558\) | −5.86261 | − | 37.9882i | −0.248184 | − | 1.60817i | ||||
\(559\) | −3.28645 | − | 3.79277i | −0.139002 | − | 0.160417i | ||||
\(560\) | 7.06865 | − | 4.96652i | 0.298705 | − | 0.209874i | ||||
\(561\) | 1.53720 | + | 0.451362i | 0.0649006 | + | 0.0190565i | ||||
\(562\) | −27.8478 | + | 18.3055i | −1.17469 | + | 0.772171i | ||||
\(563\) | −3.30995 | + | 5.15038i | −0.139498 | + | 0.217063i | −0.903972 | − | 0.427591i | \(-0.859362\pi\) |
0.764474 | + | 0.644654i | \(0.222999\pi\) | |||||||
\(564\) | 8.46332 | − | 4.07821i | 0.356370 | − | 0.171724i | ||||
\(565\) | 9.07240 | + | 7.86128i | 0.381679 | + | 0.330726i | ||||
\(566\) | −0.284278 | − | 0.178576i | −0.0119491 | − | 0.00750611i | ||||
\(567\) | −3.04590 | − | 21.1847i | −0.127916 | − | 0.889674i | ||||
\(568\) | 1.78848 | − | 15.9246i | 0.0750429 | − | 0.668180i | ||||
\(569\) | 4.58157 | − | 2.09233i | 0.192069 | − | 0.0877151i | −0.317059 | − | 0.948406i | \(-0.602695\pi\) |
0.509128 | + | 0.860691i | \(0.329968\pi\) | |||||||
\(570\) | 10.8311 | − | 0.111776i | 0.453663 | − | 0.00468179i | ||||
\(571\) | 1.14558 | + | 0.523169i | 0.0479411 | + | 0.0218939i | 0.439241 | − | 0.898369i | \(-0.355247\pi\) |
−0.391300 | + | 0.920263i | \(0.627975\pi\) | |||||||
\(572\) | 0.325595 | − | 0.391811i | 0.0136138 | − | 0.0163825i | ||||
\(573\) | 30.3933 | − | 19.5326i | 1.26970 | − | 0.815985i | ||||
\(574\) | −4.39551 | + | 15.5620i | −0.183465 | + | 0.649547i | ||||
\(575\) | −4.39997 | + | 1.90794i | −0.183491 | + | 0.0795668i | ||||
\(576\) | 3.94273 | − | 48.6402i | 0.164280 | − | 2.02668i | ||||
\(577\) | 29.1215 | − | 18.7152i | 1.21234 | − | 0.779125i | 0.231293 | − | 0.972884i | \(-0.425704\pi\) |
0.981049 | + | 0.193759i | \(0.0620680\pi\) | |||||||
\(578\) | 20.4051 | + | 9.06541i | 0.848742 | + | 0.377071i | ||||
\(579\) | −17.4421 | + | 38.1930i | −0.724871 | + | 1.58725i | ||||
\(580\) | 4.05840 | − | 14.9569i | 0.168516 | − | 0.621050i | ||||
\(581\) | 14.8970 | − | 6.80324i | 0.618032 | − | 0.282246i | ||||
\(582\) | 27.9377 | + | 59.5413i | 1.15806 | + | 2.46806i | ||||
\(583\) | −0.305680 | + | 0.0439501i | −0.0126600 | + | 0.00182023i | ||||
\(584\) | 31.5641 | − | 15.6132i | 1.30613 | − | 0.646078i | ||||
\(585\) | −2.43370 | − | 2.10881i | −0.100621 | − | 0.0871887i | ||||
\(586\) | 27.7728 | − | 24.5716i | 1.14729 | − | 1.01505i | ||||
\(587\) | −19.2146 | − | 12.3484i | −0.793070 | − | 0.509675i | 0.0802778 | − | 0.996773i | \(-0.474419\pi\) |
−0.873348 | + | 0.487098i | \(0.838056\pi\) | |||||||
\(588\) | −13.4350 | + | 4.24793i | −0.554048 | + | 0.175182i | ||||
\(589\) | 10.8547 | + | 3.18723i | 0.447260 | + | 0.131327i | ||||
\(590\) | 15.6141 | + | 2.08075i | 0.642823 | + | 0.0856629i | ||||
\(591\) | 22.5264 | − | 19.5192i | 0.926612 | − | 0.802914i | ||||
\(592\) | 8.88675 | − | 11.1546i | 0.365243 | − | 0.458450i | ||||
\(593\) | 2.90921 | − | 0.854220i | 0.119467 | − | 0.0350786i | −0.221453 | − | 0.975171i | \(-0.571080\pi\) |
0.340919 | + | 0.940092i | \(0.389262\pi\) | |||||||
\(594\) | −4.12873 | + | 4.86536i | −0.169404 | + | 0.199628i | ||||
\(595\) | 2.35303 | + | 0.338315i | 0.0964648 | + | 0.0138696i | ||||
\(596\) | 39.2543 | − | 0.810292i | 1.60792 | − | 0.0331909i | ||||
\(597\) | 74.3294 | 3.04210 | ||||||||
\(598\) | 1.96255 | − | 2.99469i | 0.0802548 | − | 0.122462i | ||||
\(599\) | 16.2467i | 0.663823i | 0.943311 | + | 0.331911i | \(0.107694\pi\) | ||||
−0.943311 | + | 0.331911i | \(0.892306\pi\) | |||||||
\(600\) | −2.14926 | + | 8.25715i | −0.0877432 | + | 0.337097i | ||||
\(601\) | −4.84423 | + | 33.6924i | −0.197600 | + | 1.37434i | 0.613621 | + | 0.789601i | \(0.289712\pi\) |
−0.811221 | + | 0.584740i | \(0.801197\pi\) | |||||||
\(602\) | −18.7870 | + | 22.1389i | −0.765702 | + | 0.902315i | ||||
\(603\) | 1.10019 | + | 3.74692i | 0.0448034 | + | 0.152586i | ||||
\(604\) | 32.6326 | + | 4.00637i | 1.32780 | + | 0.163017i | ||||
\(605\) | −7.05101 | − | 8.13730i | −0.286664 | − | 0.330828i | ||||
\(606\) | 6.80106 | − | 51.0358i | 0.276274 | − | 2.07319i | ||||
\(607\) | 6.33804 | − | 21.5854i | 0.257253 | − | 0.876123i | −0.725030 | − | 0.688718i | \(-0.758174\pi\) |
0.982283 | − | 0.187405i | \(-0.0600078\pi\) | |||||||
\(608\) | 12.4670 | + | 7.13153i | 0.505605 | + | 0.289222i | ||||
\(609\) | 27.2941 | − | 42.4705i | 1.10601 | − | 1.72099i | ||||
\(610\) | 10.9910 | − | 9.72417i | 0.445014 | − | 0.393720i | ||||
\(611\) | 0.538321 | − | 0.621255i | 0.0217781 | − | 0.0251333i | ||||
\(612\) | 9.96489 | − | 9.00132i | 0.402807 | − | 0.363857i | ||||
\(613\) | 5.45865 | + | 37.9657i | 0.220473 | + | 1.53342i | 0.736256 | + | 0.676703i | \(0.236592\pi\) |
−0.515783 | + | 0.856719i | \(0.672499\pi\) | |||||||
\(614\) | −6.60447 | + | 3.09893i | −0.266535 | + | 0.125062i | ||||
\(615\) | −6.63464 | − | 14.5278i | −0.267535 | − | 0.585819i | ||||
\(616\) | −2.52770 | − | 1.51601i | −0.101844 | − | 0.0610816i | ||||
\(617\) | 28.7781 | + | 13.1425i | 1.15856 | + | 0.529098i | 0.899568 | − | 0.436780i | \(-0.143881\pi\) |
0.258995 | + | 0.965879i | \(0.416609\pi\) | |||||||
\(618\) | −0.293597 | − | 0.130437i | −0.0118102 | − | 0.00524693i | ||||
\(619\) | 16.2315 | + | 25.2568i | 0.652401 | + | 1.01516i | 0.997075 | + | 0.0764327i | \(0.0243530\pi\) |
−0.344674 | + | 0.938722i | \(0.612011\pi\) | |||||||
\(620\) | −4.66213 | + | 7.59459i | −0.187236 | + | 0.305006i | ||||
\(621\) | −24.9681 | + | 37.2549i | −1.00194 | + | 1.49499i | ||||
\(622\) | 10.0449 | + | 2.83720i | 0.402765 | + | 0.113761i | ||||
\(623\) | 20.5084 | + | 31.9117i | 0.821651 | + | 1.27851i | ||||
\(624\) | −2.04534 | − | 6.03273i | −0.0818790 | − | 0.241503i | ||||
\(625\) | 0.415415 | − | 0.909632i | 0.0166166 | − | 0.0363853i | ||||
\(626\) | 48.1759 | − | 0.497173i | 1.92550 | − | 0.0198710i | ||||
\(627\) | −1.53519 | − | 3.36160i | −0.0613096 | − | 0.134249i | ||||
\(628\) | 1.54696 | + | 9.38061i | 0.0617302 | + | 0.374327i | ||||
\(629\) | 3.88453 | − | 0.558511i | 0.154886 | − | 0.0222693i | ||||
\(630\) | −9.91063 | + | 15.7769i | −0.394849 | + | 0.628565i | ||||
\(631\) | 25.8865 | − | 29.8746i | 1.03052 | − | 1.18929i | 0.0488334 | − | 0.998807i | \(-0.484450\pi\) |
0.981691 | − | 0.190481i | \(-0.0610049\pi\) | |||||||
\(632\) | 5.21411 | − | 0.915225i | 0.207406 | − | 0.0364057i | ||||
\(633\) | −3.52121 | − | 2.26294i | −0.139955 | − | 0.0899439i | ||||
\(634\) | −11.8735 | + | 7.80495i | −0.471558 | + | 0.309974i | ||||
\(635\) | 4.03086 | − | 13.7279i | 0.159960 | − | 0.544773i | ||||
\(636\) | −1.53130 | + | 3.54493i | −0.0607202 | + | 0.140566i | ||||
\(637\) | −0.931787 | + | 0.807398i | −0.0369187 | + | 0.0319903i | ||||
\(638\) | −5.22567 | + | 0.806463i | −0.206886 | + | 0.0319282i | ||||
\(639\) | 9.73664 | + | 33.1600i | 0.385176 | + | 1.31179i | ||||
\(640\) | −7.99330 | + | 8.00670i | −0.315963 | + | 0.316492i | ||||
\(641\) | −28.7879 | − | 4.13908i | −1.13705 | − | 0.163484i | −0.452029 | − | 0.892003i | \(-0.649300\pi\) |
−0.685025 | + | 0.728520i | \(0.740209\pi\) | |||||||
\(642\) | −29.6194 | + | 9.03006i | −1.16898 | + | 0.356388i | ||||
\(643\) | − | 27.9770i | − | 1.10330i | −0.834075 | − | 0.551652i | \(-0.813998\pi\) | ||
0.834075 | − | 0.551652i | \(-0.186002\pi\) | |||||||
\(644\) | −18.8555 | − | 8.57927i | −0.743012 | − | 0.338071i | ||||
\(645\) | − | 28.6772i | − | 1.12917i | ||||||
\(646\) | 1.15254 | + | 3.78044i | 0.0453462 | + | 0.148739i | ||||
\(647\) | −32.3132 | − | 4.64594i | −1.27036 | − | 0.182651i | −0.526034 | − | 0.850464i | \(-0.676322\pi\) |
−0.744329 | + | 0.667813i | \(0.767231\pi\) | |||||||
\(648\) | 8.72536 | + | 26.6363i | 0.342764 | + | 1.04637i | ||||
\(649\) | −1.51413 | − | 5.15664i | −0.0594347 | − | 0.202416i | ||||
\(650\) | 0.113870 | + | 0.737845i | 0.00446633 | + | 0.0289407i | ||||
\(651\) | −21.9390 | + | 19.0103i | −0.859859 | + | 0.745072i | ||||
\(652\) | 17.0182 | − | 39.3967i | 0.666485 | − | 1.54290i | ||||
\(653\) | −13.4885 | + | 45.9377i | −0.527847 | + | 1.79768i | 0.0718044 | + | 0.997419i | \(0.477124\pi\) |
−0.599651 | + | 0.800262i | \(0.704694\pi\) | |||||||
\(654\) | 10.1120 | + | 15.3831i | 0.395409 | + | 0.601528i | ||||
\(655\) | 5.64189 | + | 3.62582i | 0.220447 | + | 0.141673i | ||||
\(656\) | 2.14628 | − | 21.0685i | 0.0837981 | − | 0.822586i | ||||
\(657\) | −49.7341 | + | 57.3962i | −1.94031 | + | 2.23924i | ||||
\(658\) | −4.02739 | − | 2.52990i | −0.157004 | − | 0.0986259i | ||||
\(659\) | 1.37730 | − | 0.198026i | 0.0536522 | − | 0.00771402i | −0.115436 | − | 0.993315i | \(-0.536827\pi\) |
0.169089 | + | 0.985601i | \(0.445918\pi\) | |||||||
\(660\) | 2.87226 | − | 0.473665i | 0.111803 | − | 0.0184374i | ||||
\(661\) | 2.23170 | + | 4.88675i | 0.0868032 | + | 0.190072i | 0.948055 | − | 0.318105i | \(-0.103047\pi\) |
−0.861252 | + | 0.508178i | \(0.830319\pi\) | |||||||
\(662\) | −0.301280 | − | 29.1939i | −0.0117096 | − | 1.13465i | ||||
\(663\) | 0.728167 | − | 1.59446i | 0.0282797 | − | 0.0619238i | ||||
\(664\) | −17.6752 | + | 12.1483i | −0.685929 | + | 0.471445i | ||||
\(665\) | −2.96464 | − | 4.61306i | −0.114964 | − | 0.178887i | ||||
\(666\) | −8.36050 | + | 29.5999i | −0.323963 | + | 1.14697i | ||||
\(667\) | −35.8517 | + | 9.78171i | −1.38818 | + | 0.378749i | ||||
\(668\) | −3.48441 | + | 5.67608i | −0.134816 | + | 0.219614i | ||||
\(669\) | 42.3141 | + | 65.8421i | 1.63596 | + | 2.54560i | ||||
\(670\) | 0.367580 | − | 0.827378i | 0.0142009 | − | 0.0319644i | ||||
\(671\) | −4.55446 | − | 2.07995i | −0.175823 | − | 0.0802956i | ||||
\(672\) | −32.6904 | + | 17.0188i | −1.26106 | + | 0.656516i | ||||
\(673\) | −18.8281 | − | 41.2279i | −0.725772 | − | 1.58922i | −0.805635 | − | 0.592412i | \(-0.798176\pi\) |
0.0798633 | − | 0.996806i | \(-0.474552\pi\) | |||||||
\(674\) | 12.9327 | + | 27.5623i | 0.498147 | + | 1.06166i | ||||
\(675\) | −1.33085 | − | 9.25624i | −0.0512243 | − | 0.356273i | ||||
\(676\) | 17.0547 | + | 18.8803i | 0.655948 | + | 0.726165i | ||||
\(677\) | 22.1074 | − | 25.5134i | 0.849658 | − | 0.980558i | −0.150309 | − | 0.988639i | \(-0.548027\pi\) |
0.999967 | + | 0.00808129i | \(0.00257238\pi\) | |||||||
\(678\) | −33.9349 | − | 38.3560i | −1.30326 | − | 1.47305i | ||||
\(679\) | 18.0013 | − | 28.0106i | 0.690827 | − | 1.07495i | ||||
\(680\) | −3.11175 | + | 0.0963667i | −0.119330 | + | 0.00369549i | ||||
\(681\) | −8.96311 | + | 30.5255i | −0.343467 | + | 1.16974i | ||||
\(682\) | 3.01377 | + | 0.401617i | 0.115403 | + | 0.0153787i | ||||
\(683\) | 15.2167 | + | 17.5610i | 0.582252 | + | 0.671954i | 0.968087 | − | 0.250613i | \(-0.0806323\pi\) |
−0.385836 | + | 0.922568i | \(0.626087\pi\) | |||||||
\(684\) | −30.7446 | − | 3.77457i | −1.17555 | − | 0.144324i | ||||
\(685\) | 2.94411 | + | 10.0267i | 0.112489 | + | 0.383102i | ||||
\(686\) | 21.7408 | + | 18.4492i | 0.830069 | + | 0.704394i | ||||
\(687\) | −2.07877 | + | 14.4581i | −0.0793099 | + | 0.551612i | ||||
\(688\) | 19.2206 | − | 32.8104i | 0.732780 | − | 1.25088i | ||||
\(689\) | 0.337886i | 0.0128724i | ||||||||
\(690\) | 19.6816 | − | 5.58873i | 0.749265 | − | 0.212759i | ||||
\(691\) | 19.9812 | 0.760121 | 0.380061 | − | 0.924962i | \(-0.375903\pi\) | ||||
0.380061 | + | 0.924962i | \(0.375903\pi\) | |||||||
\(692\) | 0.116477 | + | 5.64270i | 0.00442781 | + | 0.214503i | ||||
\(693\) | 6.29200 | + | 0.904653i | 0.239013 | + | 0.0343649i | ||||
\(694\) | −19.5156 | − | 16.5609i | −0.740804 | − | 0.628644i | ||||
\(695\) | −4.87672 | + | 1.43193i | −0.184984 | + | 0.0543163i | ||||
\(696\) | −25.5906 | + | 60.9620i | −0.970008 | + | 2.31076i | ||||
\(697\) | 4.40414 | − | 3.81621i | 0.166819 | − | 0.144549i | ||||
\(698\) | 4.03196 | − | 30.2562i | 0.152612 | − | 1.14521i | ||||
\(699\) | 63.3396 | + | 18.5982i | 2.39572 | + | 0.703448i | ||||
\(700\) | 4.11853 | − | 1.30222i | 0.155666 | − | 0.0492192i | ||||
\(701\) | 31.8196 | + | 20.4492i | 1.20181 | + | 0.772357i | 0.979269 | − | 0.202566i | \(-0.0649281\pi\) |
0.222542 | + | 0.974923i | \(0.428564\pi\) | |||||||
\(702\) | 4.62617 | + | 5.22887i | 0.174604 | + | 0.197351i | ||||
\(703\) | −6.84150 | − | 5.92819i | −0.258032 | − | 0.223586i | ||||
\(704\) | 3.60370 | + | 1.38318i | 0.135820 | + | 0.0521304i | ||||
\(705\) | 4.64952 | − | 0.668499i | 0.175111 | − | 0.0251771i | ||||
\(706\) | −12.4992 | + | 5.86482i | −0.470413 | + | 0.220725i | ||||
\(707\) | −23.7100 | + | 10.8280i | −0.891706 | + | 0.407228i | ||||
\(708\) | −64.8557 | − | 17.5979i | −2.43743 | − | 0.661371i | ||||
\(709\) | −3.51131 | + | 7.68869i | −0.131870 | + | 0.288755i | −0.964036 | − | 0.265772i | \(-0.914373\pi\) |
0.832166 | + | 0.554526i | \(0.187101\pi\) | |||||||
\(710\) | 3.25306 | − | 7.32224i | 0.122085 | − | 0.274799i | ||||
\(711\) | −9.60460 | + | 6.17250i | −0.360201 | + | 0.231487i | ||||
\(712\) | −33.6787 | − | 36.5192i | −1.26216 | − | 1.36861i | ||||
\(713\) | 21.3649 | + | 0.411204i | 0.800120 | + | 0.0153997i | ||||
\(714\) | −9.75974 | − | 2.75665i | −0.365249 | − | 0.103165i | ||||
\(715\) | 0.214284 | − | 0.137712i | 0.00801376 | − | 0.00515013i | ||||
\(716\) | 7.33522 | − | 8.82699i | 0.274130 | − | 0.329880i | ||||
\(717\) | −4.08354 | − | 1.86489i | −0.152503 | − | 0.0696456i | ||||
\(718\) | −0.196377 | − | 19.0288i | −0.00732871 | − | 0.710149i | ||||
\(719\) | 14.8438 | − | 6.77892i | 0.553579 | − | 0.252811i | −0.118927 | − | 0.992903i | \(-0.537945\pi\) |
0.672506 | + | 0.740092i | \(0.265218\pi\) | |||||||
\(720\) | 9.21154 | − | 22.5943i | 0.343294 | − | 0.842040i | ||||
\(721\) | 0.0231465 | + | 0.160987i | 0.000862021 | + | 0.00599548i | ||||
\(722\) | −9.44360 | + | 15.0334i | −0.351454 | + | 0.559485i | ||||
\(723\) | 18.4679 | + | 16.0025i | 0.686828 | + | 0.595140i | ||||
\(724\) | −9.48119 | − | 19.6758i | −0.352366 | − | 0.731247i | ||||
\(725\) | 4.18934 | − | 6.51875i | 0.155588 | − | 0.242100i | ||||
\(726\) | 25.2314 | + | 38.3841i | 0.936426 | + | 1.42457i | ||||
\(727\) | −46.3222 | − | 13.6014i | −1.71799 | − | 0.504449i | −0.733474 | − | 0.679718i | \(-0.762102\pi\) |
−0.984521 | + | 0.175269i | \(0.943921\pi\) | |||||||
\(728\) | −2.03538 | + | 2.50138i | −0.0754360 | + | 0.0927073i | ||||
\(729\) | 15.8344 | + | 18.2739i | 0.586459 | + | 0.676810i | ||||
\(730\) | 17.4013 | − | 2.68549i | 0.644050 | − | 0.0993945i | ||||
\(731\) | 10.0398 | − | 2.94796i | 0.371337 | − | 0.109034i | ||||
\(732\) | −51.9582 | + | 34.9274i | −1.92043 | + | 1.29095i | ||||
\(733\) | 3.43211 | − | 23.8708i | 0.126768 | − | 0.881689i | −0.822846 | − | 0.568265i | \(-0.807615\pi\) |
0.949613 | − | 0.313424i | \(-0.101476\pi\) | |||||||
\(734\) | −1.02484 | − | 3.36158i | −0.0378277 | − | 0.124078i | ||||
\(735\) | −7.04527 | −0.259869 | ||||||||
\(736\) | 26.2640 | + | 6.79718i | 0.968104 | + | 0.250548i | ||||
\(737\) | −0.308891 | −0.0113781 | ||||||||
\(738\) | 13.3191 | + | 43.6877i | 0.490282 | + | 1.60817i | ||||
\(739\) | −2.53589 | + | 17.6375i | −0.0932841 | + | 0.648805i | 0.888510 | + | 0.458857i | \(0.151741\pi\) |
−0.981794 | + | 0.189948i | \(0.939168\pi\) | |||||||
\(740\) | 5.91805 | − | 3.97824i | 0.217552 | − | 0.146243i | ||||
\(741\) | −3.87956 | + | 1.13914i | −0.142519 | + | 0.0418474i | ||||
\(742\) | 1.93204 | − | 0.298167i | 0.0709275 | − | 0.0109460i | ||||
\(743\) | −9.61820 | − | 11.1000i | −0.352858 | − | 0.407220i | 0.551376 | − | 0.834257i | \(-0.314103\pi\) |
−0.904234 | + | 0.427037i | \(0.859557\pi\) | |||||||
\(744\) | 23.9948 | − | 29.4884i | 0.879691 | − | 1.08110i | ||||
\(745\) | 18.8361 | + | 5.53079i | 0.690102 | + | 0.202632i | ||||
\(746\) | 26.9632 | + | 41.0186i | 0.987193 | + | 1.50180i | ||||
\(747\) | 25.0073 | − | 38.9121i | 0.914970 | − | 1.42372i | ||||
\(748\) | 0.461092 | + | 0.956881i | 0.0168592 | + | 0.0349870i | ||||
\(749\) | 11.8473 | + | 10.2658i | 0.432893 | + | 0.375104i | ||||
\(750\) | −2.26929 | + | 3.61251i | −0.0828628 | + | 0.131910i | ||||
\(751\) | −3.93244 | − | 27.3507i | −0.143497 | − | 0.998042i | −0.926573 | − | 0.376116i | \(-0.877259\pi\) |
0.783076 | − | 0.621926i | \(-0.213650\pi\) | |||||||
\(752\) | 5.76769 | + | 2.35145i | 0.210326 | + | 0.0857484i | ||||
\(753\) | 20.2849 | − | 9.26379i | 0.739222 | − | 0.337591i | ||||
\(754\) | 0.0596992 | + | 5.78483i | 0.00217412 | + | 0.210671i | ||||
\(755\) | 14.9533 | + | 6.82893i | 0.544205 | + | 0.248530i | ||||
\(756\) | 25.8164 | − | 31.0668i | 0.938935 | − | 1.12989i | ||||
\(757\) | −15.5677 | + | 10.0047i | −0.565817 | + | 0.363629i | −0.792061 | − | 0.610442i | \(-0.790992\pi\) |
0.226244 | + | 0.974071i | \(0.427355\pi\) | |||||||
\(758\) | −43.5421 | − | 12.2985i | −1.58152 | − | 0.446701i | ||||
\(759\) | −4.46887 | − | 5.36248i | −0.162210 | − | 0.194646i | ||||
\(760\) | 4.86851 | + | 5.27911i | 0.176599 | + | 0.191493i | ||||
\(761\) | 11.1789 | − | 7.18426i | 0.405236 | − | 0.260429i | −0.322107 | − | 0.946703i | \(-0.604391\pi\) |
0.727343 | + | 0.686274i | \(0.240755\pi\) | |||||||
\(762\) | −24.7815 | + | 55.7802i | −0.897741 | + | 2.02071i | ||||
\(763\) | 3.87152 | − | 8.47744i | 0.140158 | − | 0.306904i | ||||
\(764\) | 23.1171 | + | 6.27260i | 0.836349 | + | 0.226935i | ||||
\(765\) | 6.10747 | − | 2.78919i | 0.220816 | − | 0.100843i | ||||
\(766\) | 9.81789 | − | 4.60671i | 0.354735 | − | 0.166447i | ||||
\(767\) | −5.82026 | + | 0.836828i | −0.210158 | + | 0.0302161i | ||||
\(768\) | 38.3137 | − | 29.3539i | 1.38253 | − | 1.05922i | ||||
\(769\) | −20.0940 | − | 17.4116i | −0.724610 | − | 0.627878i | 0.212399 | − | 0.977183i | \(-0.431872\pi\) |
−0.937009 | + | 0.349305i | \(0.886418\pi\) | |||||||
\(770\) | −0.976532 | − | 1.10376i | −0.0351918 | − | 0.0397766i | ||||
\(771\) | 66.2466 | + | 42.5741i | 2.38581 | + | 1.53327i | ||||
\(772\) | −26.5422 | + | 8.39224i | −0.955274 | + | 0.302043i | ||||
\(773\) | 31.0683 | + | 9.12246i | 1.11745 | + | 0.328112i | 0.787763 | − | 0.615979i | \(-0.211239\pi\) |
0.329685 | + | 0.944091i | \(0.393058\pi\) | |||||||
\(774\) | −10.8328 | + | 81.2901i | −0.389376 | + | 2.92191i | ||||
\(775\) | −3.36740 | + | 2.91787i | −0.120960 | + | 0.104813i | ||||
\(776\) | −16.8778 | + | 40.2063i | −0.605876 | + | 1.44332i | ||||
\(777\) | 22.2884 | − | 6.54447i | 0.799592 | − | 0.234781i | ||||
\(778\) | 12.0526 | + | 10.2278i | 0.432107 | + | 0.366685i | ||||
\(779\) | −13.3055 | − | 1.91304i | −0.476719 | − | 0.0685419i | ||||
\(780\) | −0.0657314 | − | 3.18434i | −0.00235356 | − | 0.114018i | ||||
\(781\) | −2.73366 | −0.0978182 | ||||||||
\(782\) | 3.97983 | + | 6.31597i | 0.142318 | + | 0.225859i | ||||
\(783\) | − | 72.4628i | − | 2.58961i | ||||||
\(784\) | −8.06067 | − | 4.72202i | −0.287881 | − | 0.168644i | ||||
\(785\) | −0.676516 | + | 4.70527i | −0.0241459 | + | 0.167938i | ||||
\(786\) | −21.8149 | − | 18.5121i | −0.778113 | − | 0.660304i | ||||
\(787\) | 4.99819 | + | 17.0223i | 0.178166 | + | 0.606778i | 0.999348 | + | 0.0361113i | \(0.0114971\pi\) |
−0.821182 | + | 0.570667i | \(0.806685\pi\) | |||||||
\(788\) | 19.6144 | + | 2.40810i | 0.698734 | + | 0.0857848i | ||||
\(789\) | −58.1762 | − | 67.1389i | −2.07113 | − | 2.39021i | ||||
\(790\) | 2.62372 | + | 0.349638i | 0.0933477 | + | 0.0124396i | ||||
\(791\) | −7.30440 | + | 24.8765i | −0.259714 | + | 0.884506i | ||||
\(792\) | −8.32081 | + | 0.257684i | −0.295667 | + | 0.00915642i | ||||
\(793\) | −2.96169 | + | 4.60848i | −0.105173 | + | 0.163652i | ||||
\(794\) | −22.6805 | − | 25.6353i | −0.804902 | − | 0.909764i | ||||
\(795\) | −1.26438 | + | 1.45917i | −0.0448430 | + | 0.0517516i | ||||
\(796\) | 33.0333 | + | 36.5694i | 1.17083 | + | 1.29617i | ||||
\(797\) | −7.31696 | − | 50.8906i | −0.259180 | − | 1.80264i | −0.538700 | − | 0.842498i | \(-0.681084\pi\) |
0.279520 | − | 0.960140i | \(-0.409825\pi\) | |||||||
\(798\) | 9.93714 | + | 21.1782i | 0.351771 | + | 0.749699i | ||||
\(799\) | 0.712001 | + | 1.55906i | 0.0251888 | + | 0.0551557i | ||||
\(800\) | −5.01761 | + | 2.61220i | −0.177399 | + | 0.0923553i | ||||
\(801\) | 97.4570 | + | 44.5071i | 3.44347 | + | 1.57258i | ||||
\(802\) | −13.0244 | + | 29.3164i | −0.459908 | + | 1.03520i | ||||
\(803\) | −3.24778 | − | 5.05365i | −0.114612 | − | 0.178339i | ||||
\(804\) | −2.02066 | + | 3.29164i | −0.0712630 | + | 0.116087i | ||||
\(805\) | −7.69592 | − | 6.93229i | −0.271246 | − | 0.244331i | ||||
\(806\) | 0.904208 | − | 3.20129i | 0.0318494 | − | 0.112761i | ||||
\(807\) | 17.1311 | + | 26.6566i | 0.603045 | + | 0.938356i | ||||
\(808\) | 28.1317 | − | 19.3351i | 0.989669 | − | 0.680208i | ||||
\(809\) | −2.89540 | + | 6.34003i | −0.101797 | + | 0.222904i | −0.953677 | − | 0.300833i | \(-0.902735\pi\) |
0.851880 | + | 0.523737i | \(0.175463\pi\) | |||||||
\(810\) | 0.144621 | + | 14.0138i | 0.00508148 | + | 0.492393i | ||||
\(811\) | 12.3249 | + | 26.9877i | 0.432784 | + | 0.947665i | 0.992867 | + | 0.119229i | \(0.0380421\pi\) |
−0.560083 | + | 0.828437i | \(0.689231\pi\) | |||||||
\(812\) | 33.0251 | − | 5.44616i | 1.15895 | − | 0.191123i | ||||
\(813\) | −76.2272 | + | 10.9598i | −2.67340 | + | 0.384377i | ||||
\(814\) | −2.06018 | − | 1.29415i | −0.0722092 | − | 0.0453600i | ||||
\(815\) | 14.0518 | − | 16.2166i | 0.492212 | − | 0.568043i | ||||
\(816\) | 13.2131 | + | 1.34604i | 0.462552 | + | 0.0471209i | ||||
\(817\) | −20.3050 | − | 13.0492i | −0.710383 | − | 0.456535i | ||||
\(818\) | −22.6935 | − | 34.5232i | −0.793460 | − | 1.20708i | ||||
\(819\) | 1.95943 | − | 6.67320i | 0.0684680 | − | 0.233181i | ||||
\(820\) | 4.19902 | − | 9.72061i | 0.146636 | − | 0.339458i | ||||
\(821\) | 19.8523 | − | 17.2021i | 0.692851 | − | 0.600359i | −0.235584 | − | 0.971854i | \(-0.575700\pi\) |
0.928435 | + | 0.371495i | \(0.121155\pi\) | |||||||
\(822\) | −6.79961 | − | 44.0597i | −0.237164 | − | 1.53676i | ||||
\(823\) | −9.50782 | − | 32.3806i | −0.331422 | − | 1.12872i | −0.941678 | − | 0.336515i | \(-0.890752\pi\) |
0.610257 | − | 0.792204i | \(-0.291066\pi\) | |||||||
\(824\) | −0.0663060 | − | 0.202415i | −0.00230988 | − | 0.00705147i | ||||
\(825\) | 1.44071 | + | 0.207143i | 0.0501592 | + | 0.00721181i | ||||
\(826\) | 9.92107 | + | 32.5419i | 0.345198 | + | 1.13228i | ||||
\(827\) | − | 5.58209i | − | 0.194108i | −0.995279 | − | 0.0970541i | \(-0.969058\pi\) | ||
0.995279 | − | 0.0970541i | \(-0.0309420\pi\) | |||||||
\(828\) | −57.9017 | + | 8.40745i | −2.01222 | + | 0.292179i | ||||
\(829\) | − | 3.72702i | − | 0.129445i | −0.997903 | − | 0.0647224i | \(-0.979384\pi\) | ||
0.997903 | − | 0.0647224i | \(-0.0206162\pi\) | |||||||
\(830\) | −10.2576 | + | 3.12724i | −0.356047 | + | 0.108548i | ||||
\(831\) | −40.7164 | − | 5.85414i | −1.41244 | − | 0.203078i | ||||
\(832\) | 2.05907 | − | 3.68734i | 0.0713853 | − | 0.127835i | ||||
\(833\) | −0.724239 | − | 2.46653i | −0.0250934 | − | 0.0854603i | ||||
\(834\) | 21.4294 | − | 3.30714i | 0.742039 | − | 0.114517i | ||||
\(835\) | −2.51674 | + | 2.18077i | −0.0870955 | + | 0.0754687i | ||||
\(836\) | 0.971611 | − | 2.24925i | 0.0336039 | − | 0.0777920i | ||||
\(837\) | −11.7390 | + | 39.9794i | −0.405760 | + | 1.38189i | ||||
\(838\) | 2.35857 | − | 1.55038i | 0.0814753 | − | 0.0535570i | ||||
\(839\) | 28.2402 | + | 18.1489i | 0.974960 | + | 0.626569i | 0.928099 | − | 0.372333i | \(-0.121442\pi\) |
0.0468605 | + | 0.998901i | \(0.485078\pi\) | |||||||
\(840\) | −18.1501 | + | 3.18586i | −0.626238 | + | 0.109923i | ||||
\(841\) | 20.3299 | − | 23.4620i | 0.701033 | − | 0.809035i | ||||
\(842\) | 0.611483 | − | 0.973428i | 0.0210731 | − | 0.0335465i | ||||
\(843\) | 70.3622 | − | 10.1166i | 2.42340 | − | 0.348433i | ||||
\(844\) | −0.451538 | − | 2.73809i | −0.0155426 | − | 0.0942490i | ||||
\(845\) | 5.28462 | + | 11.5717i | 0.181797 | + | 0.398079i | ||||
\(846\) | −13.4323 | + | 0.138621i | −0.461812 | + | 0.00476588i | ||||
\(847\) | 9.66024 | − | 21.1530i | 0.331930 | − | 0.726825i | ||||
\(848\) | −2.42461 | + | 0.822040i | −0.0832615 | + | 0.0282290i | ||||
\(849\) | 0.387152 | + | 0.602421i | 0.0132870 | + | 0.0206750i | ||||
\(850\) | −1.49801 | − | 0.423114i | −0.0513814 | − | 0.0145127i | ||||
\(851\) | −15.4145 | − | 7.40130i | −0.528402 | − | 0.253713i | ||||
\(852\) | −17.8827 | + | 29.1308i | −0.612650 | + | 0.998004i | ||||
\(853\) | 13.9572 | + | 21.7178i | 0.477885 | + | 0.743603i | 0.993575 | − | 0.113172i | \(-0.0361010\pi\) |
−0.515691 | + | 0.856775i | \(0.672465\pi\) | |||||||
\(854\) | 28.9649 | + | 12.8683i | 0.991160 | + | 0.440343i | ||||
\(855\) | −14.0881 | − | 6.43383i | −0.481803 | − | 0.220032i | ||||
\(856\) | −17.6061 | − | 10.5593i | −0.601763 | − | 0.360911i | ||||
\(857\) | 2.45977 | + | 5.38615i | 0.0840243 | + | 0.183988i | 0.946980 | − | 0.321291i | \(-0.104117\pi\) |
−0.862956 | + | 0.505279i | \(0.831390\pi\) | |||||||
\(858\) | −0.983758 | + | 0.461595i | −0.0335849 | + | 0.0157586i | ||||
\(859\) | 7.36933 | + | 51.2548i | 0.251438 | + | 1.74879i | 0.589592 | + | 0.807701i | \(0.299289\pi\) |
−0.338154 | + | 0.941091i | \(0.609802\pi\) | |||||||
\(860\) | 14.1089 | − | 12.7447i | 0.481111 | − | 0.434589i | ||||
\(861\) | 22.5885 | − | 26.0685i | 0.769814 | − | 0.888413i | ||||
\(862\) | −14.0471 | + | 12.4279i | −0.478445 | + | 0.423298i | ||||
\(863\) | −25.8137 | + | 40.1668i | −0.878707 | + | 1.36730i | 0.0508847 | + | 0.998705i | \(0.483796\pi\) |
−0.929592 | + | 0.368590i | \(0.879840\pi\) | |||||||
\(864\) | −26.2665 | + | 45.9178i | −0.893603 | + | 1.56216i | ||||
\(865\) | −0.795036 | + | 2.70764i | −0.0270320 | + | 0.0920627i | ||||
\(866\) | 7.30146 | − | 54.7908i | 0.248114 | − | 1.86187i | ||||
\(867\) | −31.1895 | − | 35.9946i | −1.05925 | − | 1.22244i | ||||
\(868\) | −19.1030 | − | 2.34531i | −0.648397 | − | 0.0796049i | ||||
\(869\) | −0.254427 | − | 0.866497i | −0.00863083 | − | 0.0293939i | ||||
\(870\) | −21.3892 | + | 25.2054i | −0.725162 | + | 0.854543i | ||||
\(871\) | −0.0480968 | + | 0.334520i | −0.00162970 | + | 0.0113348i | ||||
\(872\) | −3.07443 | + | 11.8115i | −0.104113 | + | 0.399989i | ||||
\(873\) | − | 94.0416i | − | 3.18283i | ||||||
\(874\) | 4.99876 | − | 16.4787i | 0.169086 | − | 0.557401i | ||||
\(875\) | 2.15975 | 0.0730128 | ||||||||
\(876\) | −75.0991 | + | 1.55021i | −2.53736 | + | 0.0523766i | ||||
\(877\) | −29.2485 | − | 4.20530i | −0.987652 | − | 0.142003i | −0.370488 | − | 0.928837i | \(-0.620810\pi\) |
−0.617164 | + | 0.786834i | \(0.711719\pi\) | |||||||
\(878\) | −6.07195 | + | 7.15529i | −0.204919 | + | 0.241479i | ||||
\(879\) | −75.8950 | + | 22.2848i | −2.55988 | + | 0.751647i | ||||
\(880\) | 1.50952 | + | 1.20262i | 0.0508860 | + | 0.0405404i | ||||
\(881\) | −39.5717 | + | 34.2891i | −1.33321 | + | 1.15523i | −0.358052 | + | 0.933702i | \(0.616559\pi\) |
−0.975154 | + | 0.221528i | \(0.928896\pi\) | |||||||
\(882\) | 19.9709 | + | 2.66134i | 0.672456 | + | 0.0896118i | ||||
\(883\) | 40.2636 | + | 11.8225i | 1.35498 | + | 0.397858i | 0.876990 | − | 0.480508i | \(-0.159548\pi\) |
0.477989 | + | 0.878366i | \(0.341366\pi\) | |||||||
\(884\) | 1.10807 | − | 0.350356i | 0.0372685 | − | 0.0117837i | ||||
\(885\) | −28.2665 | − | 18.1658i | −0.950167 | − | 0.610635i | ||||
\(886\) | −22.9095 | + | 20.2689i | −0.769661 | + | 0.680947i | ||||
\(887\) | −8.68381 | − | 7.52457i | −0.291574 | − | 0.252650i | 0.496774 | − | 0.867880i | \(-0.334518\pi\) |
−0.788348 | + | 0.615230i | \(0.789063\pi\) | |||||||
\(888\) | −27.2678 | + | 13.4880i | −0.915049 | + | 0.452628i | ||||
\(889\) | 30.5859 | − | 4.39758i | 1.02582 | − | 0.147490i | ||||
\(890\) | −10.5511 | − | 22.4867i | −0.353674 | − | 0.753755i | ||||
\(891\) | 4.34940 | − | 1.98630i | 0.145710 | − | 0.0665437i | ||||
\(892\) | −13.5886 | + | 50.0795i | −0.454979 | + | 1.67679i | ||||
\(893\) | 1.64237 | − | 3.59630i | 0.0549600 | − | 0.120346i | ||||
\(894\) | −76.5367 | − | 34.0030i | −2.55977 | − | 1.13723i | ||||
\(895\) | 4.82753 | − | 3.10247i | 0.161367 | − | 0.103704i | ||||
\(896\) | −22.9013 | − | 8.51990i | −0.765078 | − | 0.284630i | ||||
\(897\) | −6.50325 | + | 4.00469i | −0.217137 | + | 0.133713i | ||||
\(898\) | −1.96734 | + | 6.96525i | −0.0656509 | + | 0.232433i | ||||
\(899\) | −29.0456 | + | 18.6665i | −0.968726 | + | 0.622562i | ||||
\(900\) | 7.79728 | − | 9.38302i | 0.259909 | − | 0.312767i | ||||
\(901\) | −0.640830 | − | 0.292657i | −0.0213491 | − | 0.00974982i | ||||
\(902\) | −3.61250 | + | 0.0372809i | −0.120283 | + | 0.00124132i | ||||
\(903\) | 56.3386 | − | 25.7290i | 1.87483 | − | 0.856207i | ||||
\(904\) | 3.78952 | − | 33.7417i | 0.126037 | − | 1.12223i | ||||
\(905\) | −1.55415 | − | 10.8094i | −0.0516618 | − | 0.359316i | ||||
\(906\) | −59.3855 | − | 37.3045i | −1.97295 | − | 1.23936i | ||||
\(907\) | −31.9429 | − | 27.6787i | −1.06065 | − | 0.919055i | −0.0637648 | − | 0.997965i | \(-0.520311\pi\) |
−0.996882 | + | 0.0789095i | \(0.974856\pi\) | |||||||
\(908\) | −19.0016 | + | 9.15631i | −0.630592 | + | 0.303863i | ||||
\(909\) | −39.8015 | + | 61.9323i | −1.32013 | + | 2.05416i | ||||
\(910\) | −1.34739 | + | 0.885694i | −0.0446655 | + | 0.0293605i | ||||
\(911\) | 45.0086 | + | 13.2157i | 1.49120 | + | 0.437856i | 0.922925 | − | 0.384981i | \(-0.125792\pi\) |
0.568277 | + | 0.822837i | \(0.307610\pi\) | |||||||
\(912\) | −17.6128 | − | 25.0676i | −0.583218 | − | 0.830071i | ||||
\(913\) | 2.39596 | + | 2.76509i | 0.0792948 | + | 0.0915111i | ||||
\(914\) | 1.68661 | + | 10.9288i | 0.0557880 | + | 0.361492i | ||||
\(915\) | −30.0353 | + | 8.81915i | −0.992936 | + | 0.291552i | ||||
\(916\) | −8.03711 | + | 5.40271i | −0.265554 | + | 0.178511i | ||||
\(917\) | −2.06135 | + | 14.3370i | −0.0680717 | + | 0.473449i | ||||
\(918\) | −13.9239 | + | 4.24499i | −0.459557 | + | 0.140105i | ||||
\(919\) | 36.6864 | 1.21017 | 0.605086 | − | 0.796160i | \(-0.293139\pi\) | ||||
0.605086 | + | 0.796160i | \(0.293139\pi\) | |||||||
\(920\) | 11.4964 | + | 7.19943i | 0.379026 | + | 0.237358i | ||||
\(921\) | 15.5615 | 0.512770 | ||||||||
\(922\) | 13.7416 | − | 4.18941i | 0.452556 | − | 0.137971i | ||||
\(923\) | −0.425653 | + | 2.96048i | −0.0140105 | + | 0.0974455i | ||||
\(924\) | 3.50752 | + | 5.21781i | 0.115389 | + | 0.171653i | ||||
\(925\) | 3.42102 | − | 1.00450i | 0.112483 | − | 0.0330278i | ||||
\(926\) | 7.84686 | + | 50.8456i | 0.257864 | + | 1.67089i | ||||
\(927\) | 0.300821 | + | 0.347166i | 0.00988027 | + | 0.0114024i | ||||
\(928\) | −41.3656 | + | 14.5022i | −1.35789 | + | 0.476059i | ||||
\(929\) | 11.4060 | + | 3.34911i | 0.374220 | + | 0.109881i | 0.463434 | − | 0.886132i | \(-0.346617\pi\) |
−0.0892137 | + | 0.996013i | \(0.528435\pi\) | |||||||
\(930\) | 15.8842 | − | 10.4413i | 0.520863 | − | 0.342385i | ||||
\(931\) | −3.20587 | + | 4.98843i | −0.105068 | + | 0.163489i | ||||
\(932\) | 18.9991 | + | 39.4279i | 0.622336 | + | 1.29150i | ||||
\(933\) | −16.8266 | − | 14.5804i | −0.550879 | − | 0.477339i | ||||
\(934\) | 2.60080 | + | 1.63376i | 0.0851009 | + | 0.0534583i | ||||
\(935\) | 0.0755820 | + | 0.525685i | 0.00247180 | + | 0.0171917i | ||||
\(936\) | −1.01655 | + | 9.05133i | −0.0332270 | + | 0.295852i | ||||
\(937\) | −26.6807 | + | 12.1846i | −0.871619 | + | 0.398055i | −0.800443 | − | 0.599409i | \(-0.795402\pi\) |
−0.0711760 | + | 0.997464i | \(0.522675\pi\) | |||||||
\(938\) | 1.95524 | − | 0.0201780i | 0.0638408 | − | 0.000658834i | ||||
\(939\) | −93.4811 | − | 42.6914i | −3.05064 | − | 1.39318i | ||||
\(940\) | 2.39522 | + | 1.99043i | 0.0781235 | + | 0.0649205i | ||||
\(941\) | 22.9173 | − | 14.7281i | 0.747083 | − | 0.480121i | −0.110879 | − | 0.993834i | \(-0.535367\pi\) |
0.857962 | + | 0.513713i | \(0.171730\pi\) | |||||||
\(942\) | 5.51236 | − | 19.5162i | 0.179603 | − | 0.635872i | ||||
\(943\) | −25.1974 | + | 3.12921i | −0.820541 | + | 0.101901i | ||||
\(944\) | −20.1650 | − | 39.7292i | −0.656314 | − | 1.29308i | ||||
\(945\) | 16.9906 | − | 10.9192i | 0.552703 | − | 0.355201i | ||||
\(946\) | −5.92813 | − | 2.63370i | −0.192740 | − | 0.0856288i | ||||
\(947\) | 25.2679 | − | 55.3290i | 0.821097 | − | 1.79795i | 0.271723 | − | 0.962375i | \(-0.412406\pi\) |
0.549374 | − | 0.835577i | \(-0.314866\pi\) | |||||||
\(948\) | −10.8980 | − | 2.95707i | −0.353952 | − | 0.0960412i | ||||
\(949\) | −5.97867 | + | 2.73037i | −0.194076 | + | 0.0886314i | ||||
\(950\) | 1.52524 | + | 3.25061i | 0.0494853 | + | 0.105464i | ||||
\(951\) | 30.0004 | − | 4.31341i | 0.972831 | − | 0.139872i | ||||
\(952\) | −2.98115 | − | 6.02681i | −0.0966198 | − | 0.195330i | ||||
\(953\) | −31.7643 | − | 27.5239i | −1.02895 | − | 0.891588i | −0.0347756 | − | 0.999395i | \(-0.511072\pi\) |
−0.994172 | + | 0.107807i | \(0.965617\pi\) | |||||||
\(954\) | 4.13529 | − | 3.65864i | 0.133885 | − | 0.118453i | ||||
\(955\) | 10.0753 | + | 6.47499i | 0.326029 | + | 0.209526i | ||||
\(956\) | −0.897286 | − | 2.83785i | −0.0290203 | − | 0.0917827i | ||||
\(957\) | 10.8218 | + | 3.17757i | 0.349819 | + | 0.102716i | ||||
\(958\) | 33.5177 | + | 4.46659i | 1.08291 | + | 0.144309i | ||||
\(959\) | −17.0568 | + | 14.7798i | −0.550794 | + | 0.477266i | ||||
\(960\) | 22.6903 | − | 8.21881i | 0.732326 | − | 0.265261i | ||||
\(961\) | −10.6952 | + | 3.14038i | −0.345005 | + | 0.101303i | ||||
\(962\) | −1.72232 | + | 2.02961i | −0.0555297 | + | 0.0654371i | ||||
\(963\) | 43.8253 | + | 6.30113i | 1.41225 | + | 0.203051i | ||||
\(964\) | 0.334358 | + | 16.1978i | 0.0107689 | + | 0.521697i | ||||
\(965\) | −13.9187 | −0.448058 | ||||||||
\(966\) | 28.6376 | + | 33.6518i | 0.921401 | + | 1.08273i | ||||
\(967\) | 21.6758i | 0.697046i | 0.937300 | + | 0.348523i | \(0.113317\pi\) | ||||
−0.937300 | + | 0.348523i | \(0.886683\pi\) | |||||||
\(968\) | −7.67134 | + | 29.4722i | −0.246566 | + | 0.947272i | ||||
\(969\) | 1.19977 | − | 8.34457i | 0.0385421 | − | 0.268066i | ||||
\(970\) | −14.1068 | + | 16.6237i | −0.452943 | + | 0.533755i | ||||
\(971\) | −2.40507 | − | 8.19093i | −0.0771825 | − | 0.262859i | 0.911858 | − | 0.410507i | \(-0.134648\pi\) |
−0.989040 | + | 0.147647i | \(0.952830\pi\) | |||||||
\(972\) | 0.448342 | − | 3.65183i | 0.0143806 | − | 0.117133i | ||||
\(973\) | −7.18849 | − | 8.29596i | −0.230452 | − | 0.265956i | ||||
\(974\) | −0.618105 | + | 4.63831i | −0.0198053 | + | 0.148621i | ||||
\(975\) | 0.448661 | − | 1.52800i | 0.0143687 | − | 0.0489351i | ||||
\(976\) | −40.2751 | − | 10.0406i | −1.28917 | − | 0.321393i | ||||
\(977\) | 11.5671 | − | 17.9987i | 0.370063 | − | 0.575829i | −0.605420 | − | 0.795907i | \(-0.706995\pi\) |
0.975482 | + | 0.220077i | \(0.0706310\pi\) | |||||||
\(978\) | −68.5600 | + | 60.6575i | −2.19231 | + | 1.93961i | ||||
\(979\) | −5.54969 | + | 6.40469i | −0.177369 | + | 0.204695i | ||||
\(980\) | −3.13104 | − | 3.46621i | −0.100017 | − | 0.110724i | ||||
\(981\) | −3.74605 | − | 26.0544i | −0.119602 | − | 0.831852i | ||||
\(982\) | −3.50825 | + | 1.64613i | −0.111953 | + | 0.0525301i | ||||
\(983\) | −11.4282 | − | 25.0243i | −0.364503 | − | 0.798150i | −0.999668 | − | 0.0257736i | \(-0.991795\pi\) |
0.635165 | − | 0.772377i | \(-0.280932\pi\) | |||||||
\(984\) | −23.2344 | + | 38.7398i | −0.740687 | + | 1.23498i | ||||
\(985\) | 8.98792 | + | 4.10465i | 0.286379 | + | 0.130785i | ||||
\(986\) | −11.0231 | − | 4.89725i | −0.351048 | − | 0.155960i | ||||
\(987\) | 5.48483 | + | 8.53456i | 0.174584 | + | 0.271658i | ||||
\(988\) | −2.28459 | − | 1.40245i | −0.0726825 | − | 0.0446180i | ||||
\(989\) | −43.4892 | − | 13.6839i | −1.38288 | − | 0.435124i | ||||
\(990\) | −4.00568 | − | 1.13141i | −0.127309 | − | 0.0359585i | ||||
\(991\) | 6.78346 | + | 10.5553i | 0.215484 | + | 0.335299i | 0.932121 | − | 0.362147i | \(-0.117956\pi\) |
−0.716637 | + | 0.697446i | \(0.754320\pi\) | |||||||
\(992\) | 25.1717 | − | 1.29996i | 0.799203 | − | 0.0412739i | ||||
\(993\) | −25.8704 | + | 56.6482i | −0.820971 | + | 1.79768i | ||||
\(994\) | 17.3037 | − | 0.178574i | 0.548840 | − | 0.00566401i | ||||
\(995\) | 10.2358 | + | 22.4133i | 0.324497 | + | 0.710550i | ||||
\(996\) | 45.1392 | − | 7.44390i | 1.43029 | − | 0.235869i | ||||
\(997\) | 5.90824 | − | 0.849477i | 0.187116 | − | 0.0269032i | −0.0481198 | − | 0.998842i | \(-0.515323\pi\) |
0.235236 | + | 0.971938i | \(0.424414\pi\) | |||||||
\(998\) | 7.14716 | − | 11.3777i | 0.226239 | − | 0.360154i | ||||
\(999\) | 21.8344 | − | 25.1982i | 0.690809 | − | 0.797236i |
(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 | 920.2.bb.a.11.19 | ✓ | 480 | |
8.3 | odd | 2 | 920.2.bb.b.11.37 | yes | 480 | ||
23.21 | odd | 22 | 920.2.bb.b.251.37 | yes | 480 | ||
184.67 | even | 22 | inner | 920.2.bb.a.251.19 | yes | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
920.2.bb.a.11.19 | ✓ | 480 | 1.1 | even | 1 | trivial | |
920.2.bb.a.251.19 | yes | 480 | 184.67 | even | 22 | inner | |
920.2.bb.b.11.37 | yes | 480 | 8.3 | odd | 2 | ||
920.2.bb.b.251.37 | yes | 480 | 23.21 | odd | 22 |