Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,2,Mod(4,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.e (of order \(29\), degree \(28\), 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: | \(1.41335211578\) |
Analytic rank: | \(0\) |
Dimension: | \(140\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{29})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{29}]$ |
Embedding invariants
Embedding label | 4.3 | ||
Character | \(\chi\) | \(=\) | 177.4 |
Dual form | 177.2.e.b.133.3 |
$q$-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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{1}{29}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.233737 | − | 0.0254205i | −0.165277 | − | 0.0179750i | 0.0251062 | − | 0.999685i | \(-0.492008\pi\) |
−0.190383 | + | 0.981710i | \(0.560973\pi\) | |||||||
\(3\) | −0.647386 | + | 0.762162i | −0.373769 | + | 0.440034i | ||||
\(4\) | −1.89925 | − | 0.418057i | −0.949627 | − | 0.209029i | ||||
\(5\) | 1.40408 | + | 1.06736i | 0.627926 | + | 0.477337i | 0.870086 | − | 0.492900i | \(-0.164063\pi\) |
−0.242161 | + | 0.970236i | \(0.577856\pi\) | |||||||
\(6\) | 0.170693 | − | 0.161689i | 0.0696850 | − | 0.0660092i | ||||
\(7\) | −0.853505 | + | 2.14214i | −0.322594 | + | 0.809651i | 0.674833 | + | 0.737970i | \(0.264216\pi\) |
−0.997428 | + | 0.0716807i | \(0.977164\pi\) | |||||||
\(8\) | 0.878915 | + | 0.296141i | 0.310743 | + | 0.104702i | ||||
\(9\) | −0.161782 | − | 0.986827i | −0.0539273 | − | 0.328942i | ||||
\(10\) | −0.301054 | − | 0.285174i | −0.0952016 | − | 0.0901798i | ||||
\(11\) | −5.19354 | + | 2.40279i | −1.56591 | + | 0.724468i | −0.995308 | − | 0.0967576i | \(-0.969153\pi\) |
−0.570604 | + | 0.821226i | \(0.693291\pi\) | |||||||
\(12\) | 1.54818 | − | 1.17689i | 0.446921 | − | 0.339740i | ||||
\(13\) | −0.785665 | + | 4.79234i | −0.217904 | + | 1.32916i | 0.620542 | + | 0.784173i | \(0.286913\pi\) |
−0.838446 | + | 0.544984i | \(0.816536\pi\) | |||||||
\(14\) | 0.253950 | − | 0.479000i | 0.0678709 | − | 0.128018i | ||||
\(15\) | −1.72248 | + | 0.379147i | −0.444743 | + | 0.0978954i | ||||
\(16\) | 3.33205 | + | 1.54157i | 0.833014 | + | 0.385393i | ||||
\(17\) | −0.277543 | − | 0.696579i | −0.0673139 | − | 0.168945i | 0.891471 | − | 0.453077i | \(-0.149674\pi\) |
−0.958785 | + | 0.284132i | \(0.908295\pi\) | |||||||
\(18\) | 0.0127289 | + | 0.234771i | 0.00300023 | + | 0.0553360i | ||||
\(19\) | 3.13134 | + | 4.61839i | 0.718379 | + | 1.05953i | 0.995128 | + | 0.0985880i | \(0.0314326\pi\) |
−0.276749 | + | 0.960942i | \(0.589257\pi\) | |||||||
\(20\) | −2.22050 | − | 2.61417i | −0.496518 | − | 0.584546i | ||||
\(21\) | −1.08011 | − | 2.03730i | −0.235699 | − | 0.444575i | ||||
\(22\) | 1.27500 | − | 0.429599i | 0.271832 | − | 0.0915908i | ||||
\(23\) | 0.481286 | − | 8.87680i | 0.100355 | − | 1.85094i | −0.324754 | − | 0.945799i | \(-0.605281\pi\) |
0.425109 | − | 0.905142i | \(-0.360236\pi\) | |||||||
\(24\) | −0.794705 | + | 0.478158i | −0.162218 | + | 0.0976036i | ||||
\(25\) | −0.505440 | − | 1.82043i | −0.101088 | − | 0.364086i | ||||
\(26\) | 0.305463 | − | 1.10018i | 0.0599062 | − | 0.215762i | ||||
\(27\) | 0.856857 | + | 0.515554i | 0.164902 | + | 0.0992184i | ||||
\(28\) | 2.51656 | − | 3.71165i | 0.475585 | − | 0.701435i | ||||
\(29\) | 5.02130 | − | 0.546099i | 0.932432 | − | 0.101408i | 0.370723 | − | 0.928743i | \(-0.379110\pi\) |
0.561708 | + | 0.827335i | \(0.310144\pi\) | |||||||
\(30\) | 0.412247 | − | 0.0448345i | 0.0752656 | − | 0.00818563i | ||||
\(31\) | −3.40419 | + | 5.02081i | −0.611411 | + | 0.901764i | −0.999805 | − | 0.0197293i | \(-0.993720\pi\) |
0.388394 | + | 0.921493i | \(0.373030\pi\) | |||||||
\(32\) | −2.32905 | − | 1.40134i | −0.411721 | − | 0.247724i | ||||
\(33\) | 1.53091 | − | 5.51385i | 0.266498 | − | 0.959839i | ||||
\(34\) | 0.0471646 | + | 0.169872i | 0.00808867 | + | 0.0291328i | ||||
\(35\) | −3.48482 | + | 2.09674i | −0.589041 | + | 0.354414i | ||||
\(36\) | −0.105285 | + | 1.94187i | −0.0175475 | + | 0.323645i | ||||
\(37\) | 10.2336 | − | 3.44811i | 1.68240 | − | 0.566867i | 0.694166 | − | 0.719815i | \(-0.255773\pi\) |
0.988234 | + | 0.152949i | \(0.0488769\pi\) | |||||||
\(38\) | −0.614510 | − | 1.15909i | −0.0996867 | − | 0.188029i | ||||
\(39\) | −3.14391 | − | 3.70130i | −0.503429 | − | 0.592683i | ||||
\(40\) | 0.917983 | + | 1.35392i | 0.145146 | + | 0.214074i | ||||
\(41\) | 0.0293230 | + | 0.540831i | 0.00457948 | + | 0.0844636i | 0.999930 | − | 0.0118587i | \(-0.00377483\pi\) |
−0.995350 | + | 0.0963222i | \(0.969292\pi\) | |||||||
\(42\) | 0.200672 | + | 0.503649i | 0.0309644 | + | 0.0777147i | ||||
\(43\) | −1.82029 | − | 0.842155i | −0.277591 | − | 0.128427i | 0.276154 | − | 0.961113i | \(-0.410940\pi\) |
−0.553746 | + | 0.832686i | \(0.686802\pi\) | |||||||
\(44\) | 10.8684 | − | 2.39231i | 1.63847 | − | 0.360654i | ||||
\(45\) | 0.826141 | − | 1.55827i | 0.123154 | − | 0.232293i | ||||
\(46\) | −0.338147 | + | 2.06260i | −0.0498570 | + | 0.304114i | ||||
\(47\) | −4.79551 | + | 3.64545i | −0.699497 | + | 0.531744i | −0.893392 | − | 0.449279i | \(-0.851681\pi\) |
0.193895 | + | 0.981022i | \(0.437888\pi\) | |||||||
\(48\) | −3.33205 | + | 1.54157i | −0.480941 | + | 0.222507i | ||||
\(49\) | 1.22170 | + | 1.15725i | 0.174528 | + | 0.165322i | ||||
\(50\) | 0.0718640 | + | 0.438351i | 0.0101631 | + | 0.0619922i | ||||
\(51\) | 0.710583 | + | 0.239423i | 0.0995016 | + | 0.0335260i | ||||
\(52\) | 3.49565 | − | 8.77343i | 0.484760 | − | 1.21666i | ||||
\(53\) | −1.79120 | + | 1.69671i | −0.246040 | + | 0.233061i | −0.800774 | − | 0.598966i | \(-0.795578\pi\) |
0.554735 | + | 0.832027i | \(0.312820\pi\) | |||||||
\(54\) | −0.187174 | − | 0.142286i | −0.0254711 | − | 0.0193626i | ||||
\(55\) | −9.85680 | − | 2.16965i | −1.32909 | − | 0.292555i | ||||
\(56\) | −1.38453 | + | 1.63000i | −0.185016 | + | 0.217818i | ||||
\(57\) | −5.54715 | − | 0.603289i | −0.734737 | − | 0.0799075i | ||||
\(58\) | −1.18755 | −0.155932 | ||||||||
\(59\) | 7.62347 | + | 0.939563i | 0.992491 | + | 0.122321i | ||||
\(60\) | 3.42994 | 0.442803 | ||||||||
\(61\) | −7.97886 | − | 0.867753i | −1.02159 | − | 0.111104i | −0.418038 | − | 0.908430i | \(-0.637282\pi\) |
−0.603550 | + | 0.797325i | \(0.706248\pi\) | |||||||
\(62\) | 0.923318 | − | 1.08701i | 0.117261 | − | 0.138051i | ||||
\(63\) | 2.25200 | + | 0.495702i | 0.283725 | + | 0.0624526i | ||||
\(64\) | −5.33676 | − | 4.05690i | −0.667095 | − | 0.507112i | ||||
\(65\) | −6.21828 | + | 5.89027i | −0.771283 | + | 0.730598i | ||||
\(66\) | −0.497996 | + | 1.24988i | −0.0612991 | + | 0.153849i | ||||
\(67\) | 8.87523 | + | 2.99041i | 1.08428 | + | 0.365337i | 0.804030 | − | 0.594589i | \(-0.202685\pi\) |
0.280253 | + | 0.959926i | \(0.409582\pi\) | |||||||
\(68\) | 0.235914 | + | 1.43901i | 0.0286087 | + | 0.174506i | ||||
\(69\) | 6.45398 | + | 6.11354i | 0.776968 | + | 0.735983i | ||||
\(70\) | 0.867831 | − | 0.401502i | 0.103726 | − | 0.0479886i | ||||
\(71\) | 7.62648 | − | 5.79750i | 0.905097 | − | 0.688037i | −0.0453340 | − | 0.998972i | \(-0.514435\pi\) |
0.950431 | + | 0.310935i | \(0.100642\pi\) | |||||||
\(72\) | 0.150047 | − | 0.915247i | 0.0176832 | − | 0.107863i | ||||
\(73\) | −4.16866 | + | 7.86292i | −0.487904 | + | 0.920285i | 0.510277 | + | 0.860010i | \(0.329543\pi\) |
−0.998182 | + | 0.0602756i | \(0.980802\pi\) | |||||||
\(74\) | −2.47963 | + | 0.545809i | −0.288252 | + | 0.0634490i | ||||
\(75\) | 1.71468 | + | 0.793295i | 0.197994 | + | 0.0916018i | ||||
\(76\) | −4.01647 | − | 10.0806i | −0.460720 | − | 1.15632i | ||||
\(77\) | −0.714385 | − | 13.1761i | −0.0814117 | − | 1.50155i | ||||
\(78\) | 0.640761 | + | 0.945052i | 0.0725519 | + | 0.107006i | ||||
\(79\) | 4.40344 | + | 5.18413i | 0.495426 | + | 0.583261i | 0.951874 | − | 0.306490i | \(-0.0991544\pi\) |
−0.456448 | + | 0.889750i | \(0.650879\pi\) | |||||||
\(80\) | 3.03308 | + | 5.72099i | 0.339108 | + | 0.639626i | ||||
\(81\) | −0.947653 | + | 0.319302i | −0.105295 | + | 0.0354779i | ||||
\(82\) | 0.00689429 | − | 0.127158i | 0.000761347 | − | 0.0140422i | ||||
\(83\) | −7.47448 | + | 4.49724i | −0.820430 | + | 0.493637i | −0.862848 | − | 0.505463i | \(-0.831322\pi\) |
0.0424177 | + | 0.999100i | \(0.486494\pi\) | |||||||
\(84\) | 1.19969 | + | 4.32089i | 0.130897 | + | 0.471448i | ||||
\(85\) | 0.353806 | − | 1.27429i | 0.0383756 | − | 0.138216i | ||||
\(86\) | 0.404061 | + | 0.243116i | 0.0435710 | + | 0.0262158i | ||||
\(87\) | −2.83450 | + | 4.18058i | −0.303891 | + | 0.448205i | ||||
\(88\) | −5.27625 | + | 0.573826i | −0.562450 | + | 0.0611701i | ||||
\(89\) | 9.03415 | − | 0.982523i | 0.957618 | − | 0.104147i | 0.384056 | − | 0.923310i | \(-0.374527\pi\) |
0.573561 | + | 0.819163i | \(0.305561\pi\) | |||||||
\(90\) | −0.232712 | + | 0.343224i | −0.0245300 | + | 0.0361790i | ||||
\(91\) | −9.59528 | − | 5.77329i | −1.00586 | − | 0.605205i | ||||
\(92\) | −4.62510 | + | 16.6581i | −0.482200 | + | 1.73673i | ||||
\(93\) | −1.62284 | − | 5.84495i | −0.168281 | − | 0.606093i | ||||
\(94\) | 1.21356 | − | 0.730174i | 0.125169 | − | 0.0753117i | ||||
\(95\) | −0.532797 | + | 9.82686i | −0.0546638 | + | 1.00821i | ||||
\(96\) | 2.57584 | − | 0.867902i | 0.262896 | − | 0.0885799i | ||||
\(97\) | 3.81840 | + | 7.20227i | 0.387700 | + | 0.731279i | 0.998152 | − | 0.0607740i | \(-0.0193569\pi\) |
−0.610452 | + | 0.792053i | \(0.709012\pi\) | |||||||
\(98\) | −0.256138 | − | 0.301549i | −0.0258738 | − | 0.0304610i | ||||
\(99\) | 3.21136 | + | 4.73640i | 0.322753 | + | 0.476026i | ||||
\(100\) | 0.198915 | + | 3.66876i | 0.0198915 | + | 0.366876i | ||||
\(101\) | 1.21895 | + | 3.05932i | 0.121290 | + | 0.304414i | 0.977068 | − | 0.212929i | \(-0.0683004\pi\) |
−0.855778 | + | 0.517343i | \(0.826921\pi\) | |||||||
\(102\) | −0.160004 | − | 0.0740255i | −0.0158427 | − | 0.00732962i | ||||
\(103\) | −5.44077 | + | 1.19760i | −0.536095 | + | 0.118004i | −0.474763 | − | 0.880114i | \(-0.657466\pi\) |
−0.0613327 | + | 0.998117i | \(0.519535\pi\) | |||||||
\(104\) | −2.10974 | + | 3.97939i | −0.206877 | + | 0.390212i | ||||
\(105\) | 0.657963 | − | 4.01340i | 0.0642106 | − | 0.391668i | ||||
\(106\) | 0.461801 | − | 0.351052i | 0.0448540 | − | 0.0340972i | ||||
\(107\) | −8.87138 | + | 4.10434i | −0.857629 | + | 0.396781i | −0.798879 | − | 0.601491i | \(-0.794573\pi\) |
−0.0587495 | + | 0.998273i | \(0.518711\pi\) | |||||||
\(108\) | −1.41186 | − | 1.33738i | −0.135856 | − | 0.128690i | ||||
\(109\) | 1.24560 | + | 7.59781i | 0.119307 | + | 0.727738i | 0.976946 | + | 0.213486i | \(0.0684819\pi\) |
−0.857639 | + | 0.514251i | \(0.828070\pi\) | |||||||
\(110\) | 2.24875 | + | 0.757691i | 0.214410 | + | 0.0722430i | ||||
\(111\) | −3.99710 | + | 10.0320i | −0.379388 | + | 0.952191i | ||||
\(112\) | −6.14618 | + | 5.82197i | −0.580760 | + | 0.550125i | ||||
\(113\) | −2.65608 | − | 2.01910i | −0.249863 | − | 0.189941i | 0.472745 | − | 0.881200i | \(-0.343263\pi\) |
−0.722607 | + | 0.691259i | \(0.757056\pi\) | |||||||
\(114\) | 1.28124 | + | 0.282022i | 0.119999 | + | 0.0264138i | ||||
\(115\) | 10.1505 | − | 11.9501i | 0.946537 | − | 1.11435i | ||||
\(116\) | −9.76502 | − | 1.06201i | −0.906659 | − | 0.0986052i | ||||
\(117\) | 4.85632 | 0.448967 | ||||||||
\(118\) | −1.75800 | − | 0.413403i | −0.161837 | − | 0.0380568i | ||||
\(119\) | 1.72905 | 0.158502 | ||||||||
\(120\) | −1.62620 | − | 0.176860i | −0.148451 | − | 0.0161450i | ||||
\(121\) | 14.0782 | − | 16.5742i | 1.27984 | − | 1.50674i | ||||
\(122\) | 1.84290 | + | 0.405652i | 0.166848 | + | 0.0367260i | ||||
\(123\) | −0.431184 | − | 0.327777i | −0.0388785 | − | 0.0295547i | ||||
\(124\) | 8.56442 | − | 8.11265i | 0.769107 | − | 0.728537i | ||||
\(125\) | 4.49747 | − | 11.2878i | 0.402266 | − | 1.00961i | ||||
\(126\) | −0.513775 | − | 0.173111i | −0.0457707 | − | 0.0154219i | ||||
\(127\) | −2.67199 | − | 16.2984i | −0.237101 | − | 1.44625i | −0.790053 | − | 0.613038i | \(-0.789947\pi\) |
0.552953 | − | 0.833213i | \(-0.313501\pi\) | |||||||
\(128\) | 5.09097 | + | 4.82242i | 0.449982 | + | 0.426246i | ||||
\(129\) | 1.82029 | − | 0.842155i | 0.160267 | − | 0.0741476i | ||||
\(130\) | 1.60318 | − | 1.21870i | 0.140608 | − | 0.106887i | ||||
\(131\) | −0.839053 | + | 5.11800i | −0.0733084 | + | 0.447162i | 0.924511 | + | 0.381156i | \(0.124474\pi\) |
−0.997819 | + | 0.0660058i | \(0.978974\pi\) | |||||||
\(132\) | −5.21270 | + | 9.83220i | −0.453707 | + | 0.855783i | ||||
\(133\) | −12.5658 | + | 2.76595i | −1.08959 | + | 0.239838i | ||||
\(134\) | −1.99845 | − | 0.924583i | −0.172640 | − | 0.0798718i | ||||
\(135\) | 0.652820 | + | 1.63845i | 0.0561858 | + | 0.141016i | ||||
\(136\) | −0.0376507 | − | 0.694426i | −0.00322852 | − | 0.0595465i | ||||
\(137\) | −3.34862 | − | 4.93885i | −0.286092 | − | 0.421954i | 0.657303 | − | 0.753627i | \(-0.271697\pi\) |
−0.943395 | + | 0.331673i | \(0.892387\pi\) | |||||||
\(138\) | −1.35313 | − | 1.59302i | −0.115186 | − | 0.135607i | ||||
\(139\) | 3.62737 | + | 6.84195i | 0.307670 | + | 0.580327i | 0.988340 | − | 0.152263i | \(-0.0486562\pi\) |
−0.680670 | + | 0.732590i | \(0.738311\pi\) | |||||||
\(140\) | 7.49511 | − | 2.52540i | 0.633453 | − | 0.213435i | ||||
\(141\) | 0.326122 | − | 6.01497i | 0.0274645 | − | 0.506552i | ||||
\(142\) | −1.92997 | + | 1.16122i | −0.161959 | + | 0.0974477i | ||||
\(143\) | −7.43460 | − | 26.7770i | −0.621713 | − | 2.23921i | ||||
\(144\) | 0.982198 | − | 3.53756i | 0.0818499 | − | 0.294797i | ||||
\(145\) | 7.63321 | + | 4.59275i | 0.633903 | + | 0.381407i | ||||
\(146\) | 1.17425 | − | 1.73189i | 0.0971816 | − | 0.143332i | ||||
\(147\) | −1.67292 | + | 0.181941i | −0.137980 | + | 0.0150063i | ||||
\(148\) | −20.8778 | + | 2.27060i | −1.71614 | + | 0.186642i | ||||
\(149\) | 11.0674 | − | 16.3231i | 0.906673 | − | 1.33724i | −0.0345304 | − | 0.999404i | \(-0.510994\pi\) |
0.941204 | − | 0.337840i | \(-0.109696\pi\) | |||||||
\(150\) | −0.380618 | − | 0.229010i | −0.0310773 | − | 0.0186986i | ||||
\(151\) | −3.06880 | + | 11.0528i | −0.249735 | + | 0.899465i | 0.727288 | + | 0.686333i | \(0.240781\pi\) |
−0.977023 | + | 0.213133i | \(0.931633\pi\) | |||||||
\(152\) | 1.38449 | + | 4.98649i | 0.112297 | + | 0.404457i | ||||
\(153\) | −0.642501 | + | 0.386580i | −0.0519432 | + | 0.0312532i | ||||
\(154\) | −0.167963 | + | 3.09790i | −0.0135348 | + | 0.249636i | ||||
\(155\) | −10.1388 | + | 3.41615i | −0.814366 | + | 0.274392i | ||||
\(156\) | 4.42373 | + | 8.34405i | 0.354182 | + | 0.668059i | ||||
\(157\) | −2.82068 | − | 3.32076i | −0.225115 | − | 0.265026i | 0.637997 | − | 0.770039i | \(-0.279763\pi\) |
−0.863111 | + | 0.505014i | \(0.831487\pi\) | |||||||
\(158\) | −0.897465 | − | 1.32366i | −0.0713985 | − | 0.105305i | ||||
\(159\) | −0.133573 | − | 2.46361i | −0.0105930 | − | 0.195377i | ||||
\(160\) | −1.77445 | − | 4.45353i | −0.140282 | − | 0.352082i | ||||
\(161\) | 18.6045 | + | 8.60737i | 1.46624 | + | 0.678356i | ||||
\(162\) | 0.229619 | − | 0.0505429i | 0.0180405 | − | 0.00397102i | ||||
\(163\) | 8.78783 | − | 16.5756i | 0.688316 | − | 1.29830i | −0.255173 | − | 0.966896i | \(-0.582132\pi\) |
0.943488 | − | 0.331406i | \(-0.107523\pi\) | |||||||
\(164\) | 0.170406 | − | 1.03943i | 0.0133065 | − | 0.0811661i | ||||
\(165\) | 8.03478 | − | 6.10788i | 0.625507 | − | 0.475498i | ||||
\(166\) | 1.86138 | − | 0.861168i | 0.144471 | − | 0.0668396i | ||||
\(167\) | 13.3057 | + | 12.6038i | 1.02962 | + | 0.975311i | 0.999706 | − | 0.0242410i | \(-0.00771692\pi\) |
0.0299175 | + | 0.999552i | \(0.490476\pi\) | |||||||
\(168\) | −0.345995 | − | 2.11048i | −0.0266941 | − | 0.162827i | ||||
\(169\) | −10.0298 | − | 3.37943i | −0.771523 | − | 0.259956i | ||||
\(170\) | −0.115091 | + | 0.288856i | −0.00882705 | + | 0.0221542i | ||||
\(171\) | 4.05095 | − | 3.83726i | 0.309784 | − | 0.293443i | ||||
\(172\) | 3.10512 | + | 2.36045i | 0.236763 | + | 0.179983i | ||||
\(173\) | 3.53980 | + | 0.779169i | 0.269126 | + | 0.0592392i | 0.347483 | − | 0.937686i | \(-0.387036\pi\) |
−0.0783570 | + | 0.996925i | \(0.524967\pi\) | |||||||
\(174\) | 0.768801 | − | 0.905103i | 0.0582827 | − | 0.0686156i | ||||
\(175\) | 4.33100 | + | 0.471025i | 0.327393 | + | 0.0356062i | ||||
\(176\) | −21.0092 | −1.58363 | ||||||||
\(177\) | −5.65143 | + | 5.20206i | −0.424787 | + | 0.391010i | ||||
\(178\) | −2.13659 | −0.160144 | ||||||||
\(179\) | 4.06005 | + | 0.441557i | 0.303462 | + | 0.0330035i | 0.258583 | − | 0.965989i | \(-0.416744\pi\) |
0.0448788 | + | 0.998992i | \(0.485710\pi\) | |||||||
\(180\) | −2.22050 | + | 2.61417i | −0.165506 | + | 0.194849i | ||||
\(181\) | 3.57040 | + | 0.785903i | 0.265385 | + | 0.0584157i | 0.345670 | − | 0.938356i | \(-0.387652\pi\) |
−0.0802843 | + | 0.996772i | \(0.525583\pi\) | |||||||
\(182\) | 2.09601 | + | 1.59335i | 0.155367 | + | 0.118107i | ||||
\(183\) | 5.82677 | − | 5.51941i | 0.430727 | − | 0.408007i | ||||
\(184\) | 3.05179 | − | 7.65942i | 0.224981 | − | 0.564660i | ||||
\(185\) | 18.0493 | + | 6.08150i | 1.32701 | + | 0.447121i | ||||
\(186\) | 0.230737 | + | 1.40744i | 0.0169185 | + | 0.103198i | ||||
\(187\) | 3.11516 | + | 2.95084i | 0.227803 | + | 0.215787i | ||||
\(188\) | 10.6319 | − | 4.91884i | 0.775411 | − | 0.358743i | ||||
\(189\) | −1.83572 | + | 1.39548i | −0.133529 | + | 0.101506i | ||||
\(190\) | 0.374338 | − | 2.28336i | 0.0271573 | − | 0.165652i | ||||
\(191\) | −7.85959 | + | 14.8248i | −0.568700 | + | 1.07268i | 0.417741 | + | 0.908566i | \(0.362822\pi\) |
−0.986441 | + | 0.164116i | \(0.947523\pi\) | |||||||
\(192\) | 6.54696 | − | 1.44109i | 0.472486 | − | 0.104002i | ||||
\(193\) | −0.437598 | − | 0.202454i | −0.0314990 | − | 0.0145730i | 0.404076 | − | 0.914725i | \(-0.367593\pi\) |
−0.435575 | + | 0.900152i | \(0.643455\pi\) | |||||||
\(194\) | −0.709417 | − | 1.78050i | −0.0509332 | − | 0.127833i | ||||
\(195\) | −0.463710 | − | 8.55262i | −0.0332069 | − | 0.612466i | ||||
\(196\) | −1.83651 | − | 2.70865i | −0.131179 | − | 0.193475i | ||||
\(197\) | −3.09442 | − | 3.64304i | −0.220468 | − | 0.259556i | 0.640798 | − | 0.767710i | \(-0.278604\pi\) |
−0.861266 | + | 0.508154i | \(0.830328\pi\) | |||||||
\(198\) | −0.630212 | − | 1.18871i | −0.0447872 | − | 0.0844777i | ||||
\(199\) | 10.7077 | − | 3.60786i | 0.759052 | − | 0.255754i | 0.0869495 | − | 0.996213i | \(-0.472288\pi\) |
0.672102 | + | 0.740458i | \(0.265392\pi\) | |||||||
\(200\) | 0.0948652 | − | 1.74969i | 0.00670798 | − | 0.123721i | ||||
\(201\) | −8.02488 | + | 4.82841i | −0.566032 | + | 0.340570i | ||||
\(202\) | −0.207144 | − | 0.746064i | −0.0145746 | − | 0.0524929i | ||||
\(203\) | −3.11588 | + | 11.2224i | −0.218692 | + | 0.787658i | ||||
\(204\) | −1.24949 | − | 0.751791i | −0.0874815 | − | 0.0526359i | ||||
\(205\) | −0.536088 | + | 0.790670i | −0.0374420 | + | 0.0552228i | ||||
\(206\) | 1.30215 | − | 0.141618i | 0.0907254 | − | 0.00986698i | ||||
\(207\) | −8.83773 | + | 0.961161i | −0.614264 | + | 0.0668053i | ||||
\(208\) | −10.0056 | + | 14.7572i | −0.693765 | + | 1.02323i | ||||
\(209\) | −27.3598 | − | 16.4618i | −1.89251 | − | 1.13869i | ||||
\(210\) | −0.255813 | + | 0.921355i | −0.0176528 | + | 0.0635795i | ||||
\(211\) | −4.47935 | − | 16.1331i | −0.308371 | − | 1.11065i | −0.941613 | − | 0.336698i | \(-0.890690\pi\) |
0.633242 | − | 0.773954i | \(-0.281724\pi\) | |||||||
\(212\) | 4.11126 | − | 2.47366i | 0.282363 | − | 0.169892i | ||||
\(213\) | −0.518645 | + | 9.56584i | −0.0355370 | + | 0.655441i | ||||
\(214\) | 2.17791 | − | 0.733822i | 0.148879 | − | 0.0501630i | ||||
\(215\) | −1.65696 | − | 3.12536i | −0.113004 | − | 0.213147i | ||||
\(216\) | 0.600428 | + | 0.706878i | 0.0408539 | + | 0.0480970i | ||||
\(217\) | −7.84976 | − | 11.5775i | −0.532876 | − | 0.785934i | ||||
\(218\) | −0.0980027 | − | 1.80755i | −0.00663758 | − | 0.122423i | ||||
\(219\) | −3.29409 | − | 8.26754i | −0.222594 | − | 0.558669i | ||||
\(220\) | 17.8135 | + | 8.24142i | 1.20099 | + | 0.555636i | ||||
\(221\) | 3.55630 | − | 0.782801i | 0.239223 | − | 0.0526569i | ||||
\(222\) | 1.18929 | − | 2.24323i | 0.0798197 | − | 0.150556i | ||||
\(223\) | 0.541941 | − | 3.30569i | 0.0362910 | − | 0.221365i | −0.962454 | − | 0.271444i | \(-0.912499\pi\) |
0.998745 | + | 0.0500785i | \(0.0159471\pi\) | |||||||
\(224\) | 4.98972 | − | 3.79308i | 0.333389 | − | 0.253436i | ||||
\(225\) | −1.71468 | + | 0.793295i | −0.114312 | + | 0.0528863i | ||||
\(226\) | 0.569497 | + | 0.539457i | 0.0378824 | + | 0.0358841i | ||||
\(227\) | −2.96317 | − | 18.0745i | −0.196672 | − | 1.19965i | −0.881942 | − | 0.471359i | \(-0.843764\pi\) |
0.685269 | − | 0.728290i | \(-0.259685\pi\) | |||||||
\(228\) | 10.2832 | + | 3.46482i | 0.681024 | + | 0.229464i | ||||
\(229\) | −2.99705 | + | 7.52204i | −0.198051 | + | 0.497070i | −0.994139 | − | 0.108111i | \(-0.965520\pi\) |
0.796088 | + | 0.605181i | \(0.206899\pi\) | |||||||
\(230\) | −2.67632 | + | 2.53515i | −0.176471 | + | 0.167163i | ||||
\(231\) | 10.5048 | + | 7.98552i | 0.691163 | + | 0.525409i | ||||
\(232\) | 4.57502 | + | 1.00704i | 0.300365 | + | 0.0661152i | ||||
\(233\) | −0.715042 | + | 0.841812i | −0.0468439 | + | 0.0551490i | −0.785085 | − | 0.619388i | \(-0.787381\pi\) |
0.738241 | + | 0.674537i | \(0.235657\pi\) | |||||||
\(234\) | −1.13510 | − | 0.123450i | −0.0742040 | − | 0.00807017i | ||||
\(235\) | −10.6243 | −0.693053 | ||||||||
\(236\) | −14.0861 | − | 4.97152i | −0.916927 | − | 0.323618i | ||||
\(237\) | −6.80188 | −0.441829 | ||||||||
\(238\) | −0.404143 | − | 0.0439532i | −0.0261967 | − | 0.00284907i | ||||
\(239\) | −13.2111 | + | 15.5533i | −0.854556 | + | 1.00606i | 0.145305 | + | 0.989387i | \(0.453584\pi\) |
−0.999861 | + | 0.0166740i | \(0.994692\pi\) | |||||||
\(240\) | −6.32389 | − | 1.39199i | −0.408206 | − | 0.0898528i | ||||
\(241\) | 10.6549 | + | 8.09967i | 0.686344 | + | 0.521745i | 0.889232 | − | 0.457457i | \(-0.151239\pi\) |
−0.202888 | + | 0.979202i | \(0.565033\pi\) | |||||||
\(242\) | −3.71193 | + | 3.51613i | −0.238612 | + | 0.226025i | ||||
\(243\) | 0.370138 | − | 0.928977i | 0.0237444 | − | 0.0595939i | ||||
\(244\) | 14.7911 | + | 4.98370i | 0.946904 | + | 0.319049i | ||||
\(245\) | 0.480163 | + | 2.92886i | 0.0306765 | + | 0.187118i | ||||
\(246\) | 0.0924515 | + | 0.0875747i | 0.00589449 | + | 0.00558356i | ||||
\(247\) | −24.5931 | + | 11.3780i | −1.56482 | + | 0.723963i | ||||
\(248\) | −4.47886 | + | 3.40474i | −0.284408 | + | 0.216201i | ||||
\(249\) | 1.41125 | − | 8.60822i | 0.0894340 | − | 0.545523i | ||||
\(250\) | −1.33817 | + | 2.52405i | −0.0846331 | + | 0.159635i | ||||
\(251\) | 5.58518 | − | 1.22939i | 0.352534 | − | 0.0775985i | −0.0351733 | − | 0.999381i | \(-0.511198\pi\) |
0.387707 | + | 0.921783i | \(0.373267\pi\) | |||||||
\(252\) | −4.06988 | − | 1.88293i | −0.256379 | − | 0.118613i | ||||
\(253\) | 18.8295 | + | 47.2585i | 1.18380 | + | 2.97111i | ||||
\(254\) | 0.210230 | + | 3.87747i | 0.0131910 | + | 0.243294i | ||||
\(255\) | 0.742169 | + | 1.09462i | 0.0464764 | + | 0.0685476i | ||||
\(256\) | 7.61239 | + | 8.96200i | 0.475774 | + | 0.560125i | ||||
\(257\) | −2.59103 | − | 4.88721i | −0.161624 | − | 0.304856i | 0.789452 | − | 0.613813i | \(-0.210365\pi\) |
−0.951076 | + | 0.308957i | \(0.900020\pi\) | |||||||
\(258\) | −0.446877 | + | 0.150570i | −0.0278214 | + | 0.00937411i | ||||
\(259\) | −1.34813 | + | 24.8648i | −0.0837688 | + | 1.54502i | ||||
\(260\) | 14.2726 | − | 8.58752i | 0.885147 | − | 0.532575i | ||||
\(261\) | −1.35126 | − | 4.86680i | −0.0836409 | − | 0.301247i | ||||
\(262\) | 0.326220 | − | 1.17494i | 0.0201539 | − | 0.0725879i | ||||
\(263\) | −4.23107 | − | 2.54575i | −0.260899 | − | 0.156978i | 0.379095 | − | 0.925358i | \(-0.376235\pi\) |
−0.639994 | + | 0.768380i | \(0.721063\pi\) | |||||||
\(264\) | 2.97842 | − | 4.39284i | 0.183309 | − | 0.270361i | ||||
\(265\) | −4.32599 | + | 0.470480i | −0.265743 | + | 0.0289013i | ||||
\(266\) | 3.00741 | − | 0.327076i | 0.184396 | − | 0.0200543i | ||||
\(267\) | −5.09974 | + | 7.52156i | −0.312099 | + | 0.460312i | ||||
\(268\) | −15.6062 | − | 9.38991i | −0.953298 | − | 0.573580i | ||||
\(269\) | −3.76457 | + | 13.5587i | −0.229530 | + | 0.826691i | 0.755622 | + | 0.655007i | \(0.227335\pi\) |
−0.985152 | + | 0.171684i | \(0.945079\pi\) | |||||||
\(270\) | −0.110938 | − | 0.399563i | −0.00675147 | − | 0.0243166i | ||||
\(271\) | −5.28128 | + | 3.17764i | −0.320815 | + | 0.193028i | −0.666847 | − | 0.745195i | \(-0.732357\pi\) |
0.346032 | + | 0.938223i | \(0.387529\pi\) | |||||||
\(272\) | 0.149041 | − | 2.74889i | 0.00903691 | − | 0.166676i | ||||
\(273\) | 10.6120 | − | 3.57561i | 0.642269 | − | 0.216406i | ||||
\(274\) | 0.657150 | + | 1.23952i | 0.0396999 | + | 0.0748819i | ||||
\(275\) | 6.99913 | + | 8.24002i | 0.422064 | + | 0.496892i | ||||
\(276\) | −9.70194 | − | 14.3093i | −0.583988 | − | 0.861318i | ||||
\(277\) | 0.744480 | + | 13.7311i | 0.0447315 | + | 0.825024i | 0.931708 | + | 0.363209i | \(0.118319\pi\) |
−0.886976 | + | 0.461815i | \(0.847198\pi\) | |||||||
\(278\) | −0.673926 | − | 1.69143i | −0.0404194 | − | 0.101445i | ||||
\(279\) | 5.50541 | + | 2.54707i | 0.329600 | + | 0.152489i | ||||
\(280\) | −3.68379 | + | 0.810863i | −0.220148 | + | 0.0484583i | ||||
\(281\) | 4.87936 | − | 9.20345i | 0.291078 | − | 0.549032i | −0.694243 | − | 0.719740i | \(-0.744261\pi\) |
0.985322 | + | 0.170708i | \(0.0546056\pi\) | |||||||
\(282\) | −0.229130 | + | 1.39763i | −0.0136445 | + | 0.0832278i | ||||
\(283\) | 6.29425 | − | 4.78477i | 0.374154 | − | 0.284425i | −0.401150 | − | 0.916012i | \(-0.631389\pi\) |
0.775305 | + | 0.631588i | \(0.217596\pi\) | |||||||
\(284\) | −16.9083 | + | 7.82262i | −1.00332 | + | 0.464187i | ||||
\(285\) | −7.14474 | − | 6.76785i | −0.423218 | − | 0.400893i | ||||
\(286\) | 1.05706 | + | 6.44778i | 0.0625052 | + | 0.381265i | ||||
\(287\) | −1.18356 | − | 0.398788i | −0.0698633 | − | 0.0235397i | ||||
\(288\) | −1.00608 | + | 2.52508i | −0.0592840 | + | 0.148792i | ||||
\(289\) | 11.9337 | − | 11.3042i | 0.701984 | − | 0.664955i | ||||
\(290\) | −1.66741 | − | 1.26754i | −0.0979140 | − | 0.0744323i | ||||
\(291\) | −7.96127 | − | 1.75241i | −0.466698 | − | 0.102728i | ||||
\(292\) | 11.2045 | − | 13.1910i | 0.655693 | − | 0.771942i | ||||
\(293\) | −18.8042 | − | 2.04509i | −1.09856 | − | 0.119475i | −0.459161 | − | 0.888353i | \(-0.651850\pi\) |
−0.639395 | + | 0.768878i | \(0.720815\pi\) | |||||||
\(294\) | 0.395649 | 0.0230747 | ||||||||
\(295\) | 9.70114 | + | 9.45619i | 0.564822 | + | 0.550560i | ||||
\(296\) | 10.0156 | 0.582146 | ||||||||
\(297\) | −5.68889 | − | 0.618704i | −0.330103 | − | 0.0359009i | ||||
\(298\) | −3.00179 | + | 3.53399i | −0.173889 | + | 0.204718i | ||||
\(299\) | 42.1625 | + | 9.28068i | 2.43832 | + | 0.536716i | ||||
\(300\) | −2.92497 | − | 2.22350i | −0.168873 | − | 0.128374i | ||||
\(301\) | 3.35764 | − | 3.18052i | 0.193531 | − | 0.183322i | ||||
\(302\) | 0.998260 | − | 2.50544i | 0.0574434 | − | 0.144172i | ||||
\(303\) | −3.12083 | − | 1.05153i | −0.179287 | − | 0.0604088i | ||||
\(304\) | 3.31423 | + | 20.2159i | 0.190084 | + | 1.15946i | ||||
\(305\) | −10.2768 | − | 9.73469i | −0.588447 | − | 0.557407i | ||||
\(306\) | 0.160004 | − | 0.0740255i | 0.00914679 | − | 0.00423176i | ||||
\(307\) | 14.0726 | − | 10.6977i | 0.803164 | − | 0.610549i | −0.120953 | − | 0.992658i | \(-0.538595\pi\) |
0.924117 | + | 0.382109i | \(0.124802\pi\) | |||||||
\(308\) | −4.15155 | + | 25.3233i | −0.236557 | + | 1.44293i | ||||
\(309\) | 2.60951 | − | 4.92206i | 0.148450 | − | 0.280006i | ||||
\(310\) | 2.45665 | − | 0.540749i | 0.139528 | − | 0.0307125i | ||||
\(311\) | −5.18761 | − | 2.40004i | −0.294162 | − | 0.136094i | 0.267257 | − | 0.963625i | \(-0.413883\pi\) |
−0.561420 | + | 0.827531i | \(0.689745\pi\) | |||||||
\(312\) | −1.66713 | − | 4.18417i | −0.0943824 | − | 0.236882i | ||||
\(313\) | −0.0452120 | − | 0.833886i | −0.00255553 | − | 0.0471340i | 0.996977 | − | 0.0776908i | \(-0.0247547\pi\) |
−0.999533 | + | 0.0305568i | \(0.990272\pi\) | |||||||
\(314\) | 0.574883 | + | 0.847888i | 0.0324425 | + | 0.0478491i | ||||
\(315\) | 2.63290 | + | 3.09969i | 0.148347 | + | 0.174648i | ||||
\(316\) | −6.19599 | − | 11.6869i | −0.348552 | − | 0.657438i | ||||
\(317\) | −19.0391 | + | 6.41502i | −1.06934 | + | 0.360303i | −0.798298 | − | 0.602263i | \(-0.794266\pi\) |
−0.271045 | + | 0.962567i | \(0.587369\pi\) | |||||||
\(318\) | −0.0314051 | + | 0.579233i | −0.00176111 | + | 0.0324818i | ||||
\(319\) | −24.7662 | + | 14.9013i | −1.38664 | + | 0.834313i | ||||
\(320\) | −3.16310 | − | 11.3925i | −0.176823 | − | 0.636858i | ||||
\(321\) | 2.61504 | − | 9.41852i | 0.145957 | − | 0.525691i | ||||
\(322\) | −4.12977 | − | 2.48480i | −0.230143 | − | 0.138472i | ||||
\(323\) | 2.34799 | − | 3.46303i | 0.130646 | − | 0.192688i | ||||
\(324\) | 1.93332 | − | 0.210261i | 0.107407 | − | 0.0116812i | ||||
\(325\) | 9.12124 | − | 0.991994i | 0.505955 | − | 0.0550259i | ||||
\(326\) | −2.47540 | + | 3.65094i | −0.137100 | + | 0.202207i | ||||
\(327\) | −6.59714 | − | 3.96937i | −0.364823 | − | 0.219507i | ||||
\(328\) | −0.134390 | + | 0.484028i | −0.00742043 | + | 0.0267260i | ||||
\(329\) | −3.71606 | − | 13.3840i | −0.204873 | − | 0.737886i | ||||
\(330\) | −2.03329 | + | 1.22339i | −0.111929 | + | 0.0673455i | ||||
\(331\) | 0.158863 | − | 2.93006i | 0.00873192 | − | 0.161051i | −0.990915 | − | 0.134488i | \(-0.957061\pi\) |
0.999647 | − | 0.0265628i | \(-0.00845621\pi\) | |||||||
\(332\) | 16.0760 | − | 5.41665i | 0.882287 | − | 0.297277i | ||||
\(333\) | −5.05831 | − | 9.54098i | −0.277194 | − | 0.522843i | ||||
\(334\) | −2.78964 | − | 3.28421i | −0.152642 | − | 0.179704i | ||||
\(335\) | 9.26974 | + | 13.6718i | 0.506460 | + | 0.746972i | ||||
\(336\) | −0.458333 | − | 8.45345i | −0.0250041 | − | 0.461174i | ||||
\(337\) | −6.16508 | − | 15.4732i | −0.335833 | − | 0.842878i | −0.995798 | − | 0.0915811i | \(-0.970808\pi\) |
0.659964 | − | 0.751297i | \(-0.270571\pi\) | |||||||
\(338\) | 2.25843 | + | 1.04486i | 0.122842 | + | 0.0568329i | ||||
\(339\) | 3.25839 | − | 0.717225i | 0.176971 | − | 0.0389543i | ||||
\(340\) | −1.20469 | + | 2.27230i | −0.0653337 | + | 0.123233i | ||||
\(341\) | 5.61588 | − | 34.2553i | 0.304117 | − | 1.85503i | ||||
\(342\) | −1.04440 | + | 0.793934i | −0.0564748 | + | 0.0429310i | ||||
\(343\) | −18.1712 | + | 8.40690i | −0.981153 | + | 0.453930i | ||||
\(344\) | −1.35048 | − | 1.27924i | −0.0728131 | − | 0.0689723i | ||||
\(345\) | 2.53661 | + | 15.4726i | 0.136566 | + | 0.833018i | ||||
\(346\) | −0.807577 | − | 0.272104i | −0.0434156 | − | 0.0146284i | ||||
\(347\) | 9.94621 | − | 24.9631i | 0.533941 | − | 1.34009i | −0.376487 | − | 0.926422i | \(-0.622868\pi\) |
0.910428 | − | 0.413668i | \(-0.135753\pi\) | |||||||
\(348\) | 7.13116 | − | 6.75500i | 0.382271 | − | 0.362106i | ||||
\(349\) | −6.93968 | − | 5.27541i | −0.371472 | − | 0.282386i | 0.402737 | − | 0.915316i | \(-0.368059\pi\) |
−0.774209 | + | 0.632930i | \(0.781852\pi\) | |||||||
\(350\) | −1.00034 | − | 0.220192i | −0.0534706 | − | 0.0117698i | ||||
\(351\) | −3.14391 | + | 3.70130i | −0.167810 | + | 0.197561i | ||||
\(352\) | 15.4631 | + | 1.68172i | 0.824188 | + | 0.0896358i | ||||
\(353\) | −3.02178 | −0.160833 | −0.0804165 | − | 0.996761i | \(-0.525625\pi\) | ||||
−0.0804165 | + | 0.996761i | \(0.525625\pi\) | |||||||
\(354\) | 1.45319 | − | 1.07225i | 0.0772360 | − | 0.0569896i | ||||
\(355\) | 16.8962 | 0.896759 | ||||||||
\(356\) | −17.5689 | − | 1.91073i | −0.931149 | − | 0.101269i | ||||
\(357\) | −1.11936 | + | 1.31782i | −0.0592430 | + | 0.0697463i | ||||
\(358\) | −0.937760 | − | 0.206417i | −0.0495621 | − | 0.0109095i | ||||
\(359\) | 27.6694 | + | 21.0338i | 1.46034 | + | 1.11012i | 0.971300 | + | 0.237856i | \(0.0764448\pi\) |
0.489037 | + | 0.872263i | \(0.337348\pi\) | |||||||
\(360\) | 1.18757 | − | 1.12493i | 0.0625907 | − | 0.0592890i | ||||
\(361\) | −4.49155 | + | 11.2729i | −0.236397 | + | 0.593312i | ||||
\(362\) | −0.814556 | − | 0.274456i | −0.0428121 | − | 0.0144251i | ||||
\(363\) | 3.51815 | + | 21.4598i | 0.184655 | + | 1.12635i | ||||
\(364\) | 15.8103 | + | 14.9763i | 0.828685 | + | 0.784972i | ||||
\(365\) | −14.2457 | + | 6.59076i | −0.745654 | + | 0.344976i | ||||
\(366\) | −1.50224 | + | 1.14197i | −0.0785233 | + | 0.0596918i | ||||
\(367\) | 3.75199 | − | 22.8861i | 0.195852 | − | 1.19465i | −0.687588 | − | 0.726101i | \(-0.741330\pi\) |
0.883440 | − | 0.468545i | \(-0.155221\pi\) | |||||||
\(368\) | 15.2879 | − | 28.8360i | 0.796937 | − | 1.50318i | ||||
\(369\) | 0.528962 | − | 0.116433i | 0.0275367 | − | 0.00606128i | ||||
\(370\) | −4.06419 | − | 1.88029i | −0.211287 | − | 0.0977518i | ||||
\(371\) | −2.10579 | − | 5.28514i | −0.109327 | − | 0.274391i | ||||
\(372\) | 0.638665 | + | 11.7795i | 0.0331133 | + | 0.610738i | ||||
\(373\) | 10.0769 | + | 14.8623i | 0.521762 | + | 0.769541i | 0.993698 | − | 0.112092i | \(-0.0357550\pi\) |
−0.471936 | + | 0.881633i | \(0.656445\pi\) | |||||||
\(374\) | −0.653117 | − | 0.768909i | −0.0337719 | − | 0.0397593i | ||||
\(375\) | 5.69153 | + | 10.7354i | 0.293909 | + | 0.554372i | ||||
\(376\) | −5.29441 | + | 1.78390i | −0.273039 | + | 0.0919974i | ||||
\(377\) | −1.32796 | + | 24.4928i | −0.0683936 | + | 1.26145i | ||||
\(378\) | 0.464549 | − | 0.279510i | 0.0238938 | − | 0.0143764i | ||||
\(379\) | −3.11236 | − | 11.2097i | −0.159871 | − | 0.575804i | −0.999469 | − | 0.0325948i | \(-0.989623\pi\) |
0.839597 | − | 0.543209i | \(-0.182791\pi\) | |||||||
\(380\) | 5.12011 | − | 18.4410i | 0.262656 | − | 0.946002i | ||||
\(381\) | 14.1518 | + | 8.51488i | 0.725021 | + | 0.436231i | ||||
\(382\) | 2.21393 | − | 3.26530i | 0.113275 | − | 0.167067i | ||||
\(383\) | −13.8920 | + | 1.51085i | −0.709848 | + | 0.0772006i | −0.455918 | − | 0.890022i | \(-0.650689\pi\) |
−0.253930 | + | 0.967223i | \(0.581723\pi\) | |||||||
\(384\) | −6.97129 | + | 0.758173i | −0.355752 | + | 0.0386904i | ||||
\(385\) | 13.0605 | − | 19.2628i | 0.665625 | − | 0.981723i | ||||
\(386\) | 0.0971365 | + | 0.0584451i | 0.00494412 | + | 0.00297478i | ||||
\(387\) | −0.536571 | + | 1.93255i | −0.0272754 | + | 0.0982373i | ||||
\(388\) | −4.24115 | − | 15.2752i | −0.215312 | − | 0.775483i | ||||
\(389\) | 12.4646 | − | 7.49970i | 0.631980 | − | 0.380250i | −0.163226 | − | 0.986589i | \(-0.552190\pi\) |
0.795206 | + | 0.606339i | \(0.207362\pi\) | |||||||
\(390\) | −0.109025 | + | 2.01085i | −0.00552071 | + | 0.101823i | ||||
\(391\) | −6.31697 | + | 2.12844i | −0.319463 | + | 0.107640i | ||||
\(392\) | 0.731057 | + | 1.37892i | 0.0369239 | + | 0.0696459i | ||||
\(393\) | −3.35755 | − | 3.95282i | −0.169366 | − | 0.199393i | ||||
\(394\) | 0.630674 | + | 0.930175i | 0.0317729 | + | 0.0468615i | ||||
\(395\) | 0.649483 | + | 11.9790i | 0.0326790 | + | 0.602729i | ||||
\(396\) | −4.11910 | − | 10.3382i | −0.206992 | − | 0.519512i | ||||
\(397\) | −19.1434 | − | 8.85668i | −0.960780 | − | 0.444504i | −0.124144 | − | 0.992264i | \(-0.539619\pi\) |
−0.836635 | + | 0.547760i | \(0.815481\pi\) | |||||||
\(398\) | −2.59451 | + | 0.571095i | −0.130051 | + | 0.0286264i | ||||
\(399\) | 6.02684 | − | 11.3678i | 0.301719 | − | 0.569103i | ||||
\(400\) | 1.12217 | − | 6.84495i | 0.0561086 | − | 0.342247i | ||||
\(401\) | −20.7720 | + | 15.7905i | −1.03731 | + | 0.788539i | −0.977769 | − | 0.209687i | \(-0.932755\pi\) |
−0.0595367 | + | 0.998226i | \(0.518962\pi\) | |||||||
\(402\) | 1.99845 | − | 0.924583i | 0.0996738 | − | 0.0461140i | ||||
\(403\) | −21.3869 | − | 20.2587i | −1.06536 | − | 1.00916i | ||||
\(404\) | −1.03612 | − | 6.32002i | −0.0515487 | − | 0.314433i | ||||
\(405\) | −1.67139 | − | 0.563158i | −0.0830522 | − | 0.0279836i | ||||
\(406\) | 1.01358 | − | 2.54388i | 0.0503029 | − | 0.126251i | ||||
\(407\) | −44.8637 | + | 42.4972i | −2.22381 | + | 2.10651i | ||||
\(408\) | 0.553639 | + | 0.420866i | 0.0274092 | + | 0.0208360i | ||||
\(409\) | −9.56491 | − | 2.10540i | −0.472955 | − | 0.104105i | −0.0279040 | − | 0.999611i | \(-0.508883\pi\) |
−0.445051 | + | 0.895505i | \(0.646814\pi\) | |||||||
\(410\) | 0.145403 | − | 0.171181i | 0.00718093 | − | 0.00845405i | ||||
\(411\) | 5.93205 | + | 0.645150i | 0.292607 | + | 0.0318229i | ||||
\(412\) | 10.8341 | 0.533757 | ||||||||
\(413\) | −8.51933 | + | 15.5286i | −0.419209 | + | 0.764111i | ||||
\(414\) | 2.09014 | 0.102725 | ||||||||
\(415\) | −15.2950 | − | 1.66343i | −0.750800 | − | 0.0816544i | ||||
\(416\) | 8.54556 | − | 10.0606i | 0.418981 | − | 0.493262i | ||||
\(417\) | −7.56299 | − | 1.66474i | −0.370361 | − | 0.0815226i | ||||
\(418\) | 5.97653 | + | 4.54324i | 0.292321 | + | 0.222217i | ||||
\(419\) | 19.2760 | − | 18.2592i | 0.941694 | − | 0.892020i | −0.0526086 | − | 0.998615i | \(-0.516754\pi\) |
0.994302 | + | 0.106595i | \(0.0339949\pi\) | |||||||
\(420\) | −2.92747 | + | 7.34740i | −0.142846 | + | 0.358516i | ||||
\(421\) | 29.7073 | + | 10.0096i | 1.44785 | + | 0.487836i | 0.929975 | − | 0.367623i | \(-0.119828\pi\) |
0.517871 | + | 0.855459i | \(0.326725\pi\) | |||||||
\(422\) | 0.636878 | + | 3.88478i | 0.0310027 | + | 0.189108i | ||||
\(423\) | 4.37326 | + | 4.14257i | 0.212635 | + | 0.201419i | ||||
\(424\) | −2.07678 | + | 0.960819i | −0.100857 | + | 0.0466615i | ||||
\(425\) | −1.12779 | + | 0.857326i | −0.0547060 | + | 0.0415864i | ||||
\(426\) | 0.364395 | − | 2.22271i | 0.0176550 | − | 0.107691i | ||||
\(427\) | 8.66884 | − | 16.3512i | 0.419514 | − | 0.791288i | ||||
\(428\) | 18.5649 | − | 4.08643i | 0.897366 | − | 0.197525i | ||||
\(429\) | 25.2215 | + | 11.6687i | 1.21771 | + | 0.563370i | ||||
\(430\) | 0.307845 | + | 0.772632i | 0.0148456 | + | 0.0372596i | ||||
\(431\) | −1.25387 | − | 23.1262i | −0.0603967 | − | 1.11395i | −0.858961 | − | 0.512041i | \(-0.828889\pi\) |
0.798564 | − | 0.601910i | \(-0.205593\pi\) | |||||||
\(432\) | 2.06033 | + | 3.03876i | 0.0991277 | + | 0.146202i | ||||
\(433\) | −11.7280 | − | 13.8073i | −0.563614 | − | 0.663538i | 0.404357 | − | 0.914601i | \(-0.367495\pi\) |
−0.967971 | + | 0.251064i | \(0.919220\pi\) | |||||||
\(434\) | 1.54047 | + | 2.90564i | 0.0739451 | + | 0.139475i | ||||
\(435\) | −8.44205 | + | 2.84446i | −0.404765 | + | 0.136381i | ||||
\(436\) | 0.810614 | − | 14.9509i | 0.0388214 | − | 0.716018i | ||||
\(437\) | 42.5036 | − | 25.5735i | 2.03322 | − | 1.22335i | ||||
\(438\) | 0.559787 | + | 2.01617i | 0.0267476 | + | 0.0963363i | ||||
\(439\) | 9.95843 | − | 35.8670i | 0.475290 | − | 1.71184i | −0.204881 | − | 0.978787i | \(-0.565681\pi\) |
0.680171 | − | 0.733053i | \(-0.261905\pi\) | |||||||
\(440\) | −8.02077 | − | 4.82594i | −0.382375 | − | 0.230068i | ||||
\(441\) | 0.944358 | − | 1.39282i | 0.0449694 | − | 0.0663249i | ||||
\(442\) | −0.851139 | + | 0.0925670i | −0.0404846 | + | 0.00440296i | ||||
\(443\) | 16.7923 | − | 1.82627i | 0.797826 | − | 0.0867688i | 0.299880 | − | 0.953977i | \(-0.403053\pi\) |
0.497946 | + | 0.867208i | \(0.334088\pi\) | |||||||
\(444\) | 11.7854 | − | 17.3822i | 0.559312 | − | 0.824923i | ||||
\(445\) | 13.7334 | + | 8.26312i | 0.651026 | + | 0.391709i | ||||
\(446\) | −0.210704 | + | 0.758887i | −0.00997712 | + | 0.0359343i | ||||
\(447\) | 5.27602 | + | 19.0025i | 0.249547 | + | 0.898787i | ||||
\(448\) | 13.2454 | − | 7.96948i | 0.625785 | − | 0.376522i | ||||
\(449\) | −1.71258 | + | 31.5867i | −0.0808218 | + | 1.49067i | 0.624077 | + | 0.781362i | \(0.285475\pi\) |
−0.704899 | + | 0.709307i | \(0.749008\pi\) | |||||||
\(450\) | 0.420950 | − | 0.141835i | 0.0198438 | − | 0.00668615i | ||||
\(451\) | −1.45179 | − | 2.73837i | −0.0683622 | − | 0.128945i | ||||
\(452\) | 4.20047 | + | 4.94517i | 0.197573 | + | 0.232601i | ||||
\(453\) | −6.43734 | − | 9.49436i | −0.302453 | − | 0.446084i | ||||
\(454\) | 0.233140 | + | 4.30001i | 0.0109418 | + | 0.201810i | ||||
\(455\) | −7.31042 | − | 18.3478i | −0.342718 | − | 0.860157i | ||||
\(456\) | −4.69681 | − | 2.17298i | −0.219948 | − | 0.101759i | ||||
\(457\) | −6.51389 | + | 1.43382i | −0.304707 | + | 0.0670711i | −0.364692 | − | 0.931128i | \(-0.618826\pi\) |
0.0599850 | + | 0.998199i | \(0.480895\pi\) | |||||||
\(458\) | 0.891737 | − | 1.68199i | 0.0416681 | − | 0.0785944i | ||||
\(459\) | 0.121310 | − | 0.739957i | 0.00566226 | − | 0.0345382i | ||||
\(460\) | −24.2742 | + | 18.4527i | −1.13179 | + | 0.860363i | ||||
\(461\) | −29.0899 | + | 13.4584i | −1.35485 | + | 0.626821i | −0.956855 | − | 0.290565i | \(-0.906157\pi\) |
−0.397997 | + | 0.917387i | \(0.630295\pi\) | |||||||
\(462\) | −2.25236 | − | 2.13355i | −0.104789 | − | 0.0992617i | ||||
\(463\) | −4.67023 | − | 28.4871i | −0.217044 | − | 1.32391i | −0.840398 | − | 0.541969i | \(-0.817679\pi\) |
0.623354 | − | 0.781939i | \(-0.285769\pi\) | |||||||
\(464\) | 17.5731 | + | 5.92106i | 0.815810 | + | 0.274878i | ||||
\(465\) | 3.96004 | − | 9.93896i | 0.183643 | − | 0.460908i | ||||
\(466\) | 0.188531 | − | 0.178586i | 0.00873353 | − | 0.00827284i | ||||
\(467\) | −18.2562 | − | 13.8780i | −0.844794 | − | 0.642196i | 0.0905667 | − | 0.995890i | \(-0.471132\pi\) |
−0.935361 | + | 0.353694i | \(0.884925\pi\) | |||||||
\(468\) | −9.22338 | − | 2.03022i | −0.426351 | − | 0.0938470i | ||||
\(469\) | −13.9809 | + | 16.4596i | −0.645579 | + | 0.760034i | ||||
\(470\) | 2.48329 | + | 0.270075i | 0.114546 | + | 0.0124576i | ||||
\(471\) | 4.35703 | 0.200761 | ||||||||
\(472\) | 6.42213 | + | 3.08342i | 0.295603 | + | 0.141926i | ||||
\(473\) | 11.4773 | 0.527725 | ||||||||
\(474\) | 1.58985 | + | 0.172907i | 0.0730243 | + | 0.00794187i | ||||
\(475\) | 6.82474 | − | 8.03471i | 0.313141 | − | 0.368658i | ||||
\(476\) | −3.28391 | − | 0.722843i | −0.150518 | − | 0.0331314i | ||||
\(477\) | 1.96414 | + | 1.49310i | 0.0899320 | + | 0.0683645i | ||||
\(478\) | 3.48330 | − | 3.29956i | 0.159322 | − | 0.150918i | ||||
\(479\) | 9.07171 | − | 22.7683i | 0.414497 | − | 1.04031i | −0.562451 | − | 0.826831i | \(-0.690141\pi\) |
0.976948 | − | 0.213479i | \(-0.0684794\pi\) | |||||||
\(480\) | 4.54306 | + | 1.53074i | 0.207361 | + | 0.0698682i | ||||
\(481\) | 8.48434 | + | 51.7522i | 0.386853 | + | 2.35970i | ||||
\(482\) | −2.28456 | − | 2.16405i | −0.104059 | − | 0.0985696i | ||||
\(483\) | −18.6045 | + | 8.60737i | −0.846535 | + | 0.391649i | ||||
\(484\) | −33.6671 | + | 25.5931i | −1.53032 | + | 1.16332i | ||||
\(485\) | −2.32604 | + | 14.1882i | −0.105620 | + | 0.644252i | ||||
\(486\) | −0.110130 | + | 0.207727i | −0.00499560 | + | 0.00942270i | ||||
\(487\) | 3.04604 | − | 0.670485i | 0.138029 | − | 0.0303826i | −0.145418 | − | 0.989370i | \(-0.546453\pi\) |
0.283448 | + | 0.958988i | \(0.408522\pi\) | |||||||
\(488\) | −6.75576 | − | 3.12555i | −0.305819 | − | 0.141487i | ||||
\(489\) | 6.94417 | + | 17.4286i | 0.314026 | + | 0.788147i | ||||
\(490\) | −0.0377789 | − | 0.696790i | −0.00170668 | − | 0.0314778i | ||||
\(491\) | 21.0630 | + | 31.0655i | 0.950558 | + | 1.40197i | 0.915382 | + | 0.402587i | \(0.131889\pi\) |
0.0351764 | + | 0.999381i | \(0.488801\pi\) | |||||||
\(492\) | 0.681898 | + | 0.802792i | 0.0307423 | + | 0.0361927i | ||||
\(493\) | −1.77402 | − | 3.34617i | −0.0798981 | − | 0.150704i | ||||
\(494\) | 6.03755 | − | 2.03429i | 0.271642 | − | 0.0915269i | ||||
\(495\) | −0.546411 | + | 10.0780i | −0.0245594 | + | 0.452971i | ||||
\(496\) | −19.0829 | + | 11.4818i | −0.856848 | + | 0.515548i | ||||
\(497\) | 5.90979 | + | 21.2852i | 0.265091 | + | 0.954770i | ||||
\(498\) | −0.548685 | + | 1.97619i | −0.0245872 | + | 0.0885550i | ||||
\(499\) | −17.1020 | − | 10.2899i | −0.765590 | − | 0.460640i | 0.0784518 | − | 0.996918i | \(-0.475002\pi\) |
−0.844041 | + | 0.536278i | \(0.819830\pi\) | |||||||
\(500\) | −13.2608 | + | 19.5582i | −0.593040 | + | 0.874669i | ||||
\(501\) | −18.2200 | + | 1.98155i | −0.814012 | + | 0.0885291i | ||||
\(502\) | −1.33672 | + | 0.145377i | −0.0596606 | + | 0.00648848i | ||||
\(503\) | −16.6861 | + | 24.6101i | −0.743996 | + | 1.09731i | 0.247716 | + | 0.968833i | \(0.420320\pi\) |
−0.991712 | + | 0.128479i | \(0.958990\pi\) | |||||||
\(504\) | 1.83252 | + | 1.10259i | 0.0816268 | + | 0.0491132i | ||||
\(505\) | −1.55389 | + | 5.59660i | −0.0691471 | + | 0.249045i | ||||
\(506\) | −3.19982 | − | 11.5247i | −0.142249 | − | 0.512336i | ||||
\(507\) | 9.06883 | − | 5.45653i | 0.402761 | − | 0.242333i | ||||
\(508\) | −1.73889 | + | 32.0719i | −0.0771506 | + | 1.42296i | ||||
\(509\) | −14.5859 | + | 4.91457i | −0.646510 | + | 0.217835i | −0.623406 | − | 0.781898i | \(-0.714252\pi\) |
−0.0231043 | + | 0.999733i | \(0.507355\pi\) | |||||||
\(510\) | −0.145647 | − | 0.274719i | −0.00644935 | − | 0.0121648i | ||||
\(511\) | −13.2855 | − | 15.6409i | −0.587715 | − | 0.691911i | ||||
\(512\) | −9.42201 | − | 13.8964i | −0.416398 | − | 0.614141i | ||||
\(513\) | 0.302087 | + | 5.57167i | 0.0133375 | + | 0.245995i | ||||
\(514\) | 0.481386 | + | 1.20819i | 0.0212330 | + | 0.0532909i | ||||
\(515\) | −8.91758 | − | 4.12571i | −0.392955 | − | 0.181801i | ||||
\(516\) | −3.80926 | + | 0.838482i | −0.167693 | + | 0.0369121i | ||||
\(517\) | 16.1464 | − | 30.4554i | 0.710119 | − | 1.33943i | ||||
\(518\) | 0.947183 | − | 5.77756i | 0.0416168 | − | 0.253852i | ||||
\(519\) | −2.88547 | + | 2.19348i | −0.126658 | + | 0.0962831i | ||||
\(520\) | −7.20969 | + | 3.33556i | −0.316166 | + | 0.146274i | ||||
\(521\) | 24.1268 | + | 22.8541i | 1.05701 | + | 1.00126i | 0.999996 | + | 0.00288322i | \(0.000917760\pi\) |
0.0570177 | + | 0.998373i | \(0.481841\pi\) | |||||||
\(522\) | 0.192124 | + | 1.17190i | 0.00840902 | + | 0.0512928i | ||||
\(523\) | 34.8765 | + | 11.7512i | 1.52504 | + | 0.513846i | 0.952110 | − | 0.305757i | \(-0.0989095\pi\) |
0.572932 | + | 0.819603i | \(0.305806\pi\) | |||||||
\(524\) | 3.73319 | − | 9.36961i | 0.163085 | − | 0.409313i | ||||
\(525\) | −3.16283 | + | 2.99599i | −0.138037 | + | 0.130756i | ||||
\(526\) | 0.924243 | + | 0.702592i | 0.0402989 | + | 0.0306345i | ||||
\(527\) | 4.44220 | + | 0.977802i | 0.193505 | + | 0.0425937i | ||||
\(528\) | 13.6011 | − | 16.0124i | 0.591911 | − | 0.696852i | ||||
\(529\) | −55.7008 | − | 6.05782i | −2.42177 | − | 0.263384i | ||||
\(530\) | 1.02310 | 0.0444408 | ||||||||
\(531\) | −0.306154 | − | 7.67504i | −0.0132860 | − | 0.333068i | ||||
\(532\) | 25.0220 | 1.08484 | ||||||||
\(533\) | −2.61488 | − | 0.284386i | −0.113263 | − | 0.0123181i | ||||
\(534\) | 1.38320 | − | 1.62843i | 0.0598569 | − | 0.0704690i | ||||
\(535\) | −16.8370 | − | 3.70610i | −0.727925 | − | 0.160228i | ||||
\(536\) | 6.91499 | + | 5.25664i | 0.298682 | + | 0.227052i | ||||
\(537\) | −2.96496 | + | 2.80856i | −0.127947 | + | 0.121198i | ||||
\(538\) | 1.22459 | − | 3.07349i | 0.0527958 | − | 0.132507i | ||||
\(539\) | −9.12555 | − | 3.07476i | −0.393065 | − | 0.132439i | ||||
\(540\) | −0.554903 | − | 3.38476i | −0.0238792 | − | 0.145657i | ||||
\(541\) | −2.31157 | − | 2.18964i | −0.0993822 | − | 0.0941398i | 0.636396 | − | 0.771363i | \(-0.280425\pi\) |
−0.735778 | + | 0.677223i | \(0.763183\pi\) | |||||||
\(542\) | 1.31521 | − | 0.608481i | 0.0564931 | − | 0.0261365i | ||||
\(543\) | −2.91041 | + | 2.21244i | −0.124898 | + | 0.0949448i | ||||
\(544\) | −0.329736 | + | 2.01130i | −0.0141373 | + | 0.0862337i | ||||
\(545\) | −6.36065 | + | 11.9975i | −0.272460 | + | 0.513915i | ||||
\(546\) | −2.57132 | + | 0.565990i | −0.110042 | + | 0.0242222i | ||||
\(547\) | 31.9424 | + | 14.7781i | 1.36576 | + | 0.631867i | 0.959452 | − | 0.281871i | \(-0.0909549\pi\) |
0.406305 | + | 0.913737i | \(0.366817\pi\) | |||||||
\(548\) | 4.29516 | + | 10.7800i | 0.183480 | + | 0.460501i | ||||
\(549\) | 0.434514 | + | 8.01413i | 0.0185446 | + | 0.342035i | ||||
\(550\) | −1.42649 | − | 2.10392i | −0.0608259 | − | 0.0897114i | ||||
\(551\) | 18.2455 | + | 21.4803i | 0.777284 | + | 0.915090i | ||||
\(552\) | 3.86203 | + | 7.28457i | 0.164379 | + | 0.310052i | ||||
\(553\) | −14.8635 | + | 5.00809i | −0.632059 | + | 0.212966i | ||||
\(554\) | 0.175039 | − | 3.22840i | 0.00743669 | − | 0.137162i | ||||
\(555\) | −16.3199 | + | 9.81938i | −0.692743 | + | 0.416809i | ||||
\(556\) | −4.02897 | − | 14.5111i | −0.170867 | − | 0.615406i | ||||
\(557\) | −5.84557 | + | 21.0538i | −0.247685 | + | 0.892079i | 0.730252 | + | 0.683178i | \(0.239403\pi\) |
−0.977937 | + | 0.208901i | \(0.933011\pi\) | |||||||
\(558\) | −1.22207 | − | 0.735295i | −0.0517344 | − | 0.0311275i | ||||
\(559\) | 5.46603 | − | 8.06180i | 0.231189 | − | 0.340978i | ||||
\(560\) | −14.8439 | + | 1.61437i | −0.627268 | + | 0.0682196i | ||||
\(561\) | −4.26573 | + | 0.463926i | −0.180099 | + | 0.0195870i | ||||
\(562\) | −1.37444 | + | 2.02715i | −0.0579774 | + | 0.0855103i | ||||
\(563\) | 19.8146 | + | 11.9220i | 0.835086 | + | 0.502454i | 0.867744 | − | 0.497012i | \(-0.165570\pi\) |
−0.0326579 | + | 0.999467i | \(0.510397\pi\) | |||||||
\(564\) | −3.13399 | + | 11.2876i | −0.131965 | + | 0.475295i | ||||
\(565\) | −1.57426 | − | 5.66996i | −0.0662295 | − | 0.238537i | ||||
\(566\) | −1.59283 | + | 0.958375i | −0.0669517 | + | 0.0402835i | ||||
\(567\) | 0.124839 | − | 2.30253i | 0.00524276 | − | 0.0966970i | ||||
\(568\) | 8.41991 | − | 2.83700i | 0.353292 | − | 0.119038i | ||||
\(569\) | −17.5606 | − | 33.1228i | −0.736178 | − | 1.38858i | −0.914492 | − | 0.404605i | \(-0.867409\pi\) |
0.178314 | − | 0.983974i | \(-0.442936\pi\) | |||||||
\(570\) | 1.49795 | + | 1.76352i | 0.0627422 | + | 0.0738658i | ||||
\(571\) | −5.79499 | − | 8.54697i | −0.242513 | − | 0.357679i | 0.686881 | − | 0.726770i | \(-0.258979\pi\) |
−0.929393 | + | 0.369091i | \(0.879669\pi\) | |||||||
\(572\) | 2.92587 | + | 53.9645i | 0.122337 | + | 2.25637i | ||||
\(573\) | −6.21068 | − | 15.5876i | −0.259455 | − | 0.651182i | ||||
\(574\) | 0.266505 | + | 0.123298i | 0.0111237 | + | 0.00514637i | ||||
\(575\) | −16.4029 | + | 3.61054i | −0.684047 | + | 0.150570i | ||||
\(576\) | −3.14006 | + | 5.92279i | −0.130836 | + | 0.246783i | ||||
\(577\) | 1.18150 | − | 7.20681i | 0.0491863 | − | 0.300023i | −0.950765 | − | 0.309913i | \(-0.899700\pi\) |
0.999951 | + | 0.00989018i | \(0.00314819\pi\) | |||||||
\(578\) | −3.07672 | + | 2.33886i | −0.127974 | + | 0.0972837i | ||||
\(579\) | 0.437598 | − | 0.202454i | 0.0181860 | − | 0.00841372i | ||||
\(580\) | −12.5774 | − | 11.9139i | −0.522247 | − | 0.494699i | ||||
\(581\) | −3.25420 | − | 19.8498i | −0.135007 | − | 0.823507i | ||||
\(582\) | 1.81630 | + | 0.611982i | 0.0752880 | + | 0.0253675i | ||||
\(583\) | 5.22582 | − | 13.1158i | 0.216431 | − | 0.543201i | ||||
\(584\) | −5.99243 | + | 5.67633i | −0.247968 | + | 0.234888i | ||||
\(585\) | 6.81868 | + | 5.18343i | 0.281918 | + | 0.214308i | ||||
\(586\) | 4.34327 | + | 0.956025i | 0.179419 | + | 0.0394930i | ||||
\(587\) | 8.08593 | − | 9.51949i | 0.333742 | − | 0.392911i | −0.569537 | − | 0.821966i | \(-0.692877\pi\) |
0.903279 | + | 0.429055i | \(0.141153\pi\) | |||||||
\(588\) | 3.25337 | + | 0.353825i | 0.134167 | + | 0.0145915i | ||||
\(589\) | −33.8477 | −1.39467 | ||||||||
\(590\) | −2.02714 | − | 2.45687i | −0.0834559 | − | 0.101148i | ||||
\(591\) | 4.77987 | 0.196618 | ||||||||
\(592\) | 39.4146 | + | 4.28659i | 1.61993 | + | 0.176178i | ||||
\(593\) | 22.4882 | − | 26.4752i | 0.923481 | − | 1.08721i | −0.0724753 | − | 0.997370i | \(-0.523090\pi\) |
0.995957 | − | 0.0898360i | \(-0.0286343\pi\) | |||||||
\(594\) | 1.31398 | + | 0.289228i | 0.0539131 | + | 0.0118672i | ||||
\(595\) | 2.42773 | + | 1.84551i | 0.0995273 | + | 0.0756587i | ||||
\(596\) | −27.8437 | + | 26.3750i | −1.14052 | + | 1.08036i | ||||
\(597\) | −4.18227 | + | 10.4967i | −0.171169 | + | 0.429602i | ||||
\(598\) | −9.61904 | − | 3.24103i | −0.393352 | − | 0.132536i | ||||
\(599\) | −0.854192 | − | 5.21034i | −0.0349014 | − | 0.212889i | 0.963618 | − | 0.267283i | \(-0.0861257\pi\) |
−0.998520 | + | 0.0543937i | \(0.982677\pi\) | |||||||
\(600\) | 1.27213 | + | 1.20502i | 0.0519345 | + | 0.0491949i | ||||
\(601\) | −1.60608 | + | 0.743052i | −0.0655134 | + | 0.0303097i | −0.452372 | − | 0.891829i | \(-0.649422\pi\) |
0.386859 | + | 0.922139i | \(0.373560\pi\) | |||||||
\(602\) | −0.865655 | + | 0.658054i | −0.0352814 | + | 0.0268203i | ||||
\(603\) | 1.51517 | − | 9.24211i | 0.0617024 | − | 0.376368i | ||||
\(604\) | 10.4491 | − | 19.7092i | 0.425170 | − | 0.801955i | ||||
\(605\) | 37.4576 | − | 8.24504i | 1.52287 | − | 0.335209i | ||||
\(606\) | 0.702724 | + | 0.325115i | 0.0285462 | + | 0.0132069i | ||||
\(607\) | 4.28341 | + | 10.7505i | 0.173858 | + | 0.436351i | 0.989923 | − | 0.141610i | \(-0.0452278\pi\) |
−0.816064 | + | 0.577961i | \(0.803849\pi\) | |||||||
\(608\) | −0.821112 | − | 15.1445i | −0.0333005 | − | 0.614191i | ||||
\(609\) | −6.53611 | − | 9.64003i | −0.264856 | − | 0.390634i | ||||
\(610\) | 2.15461 | + | 2.53660i | 0.0872375 | + | 0.102704i | ||||
\(611\) | −13.7026 | − | 25.8458i | −0.554348 | − | 1.04561i | ||||
\(612\) | 1.38189 | − | 0.465612i | 0.0558594 | − | 0.0188212i | ||||
\(613\) | −0.672495 | + | 12.4034i | −0.0271618 | + | 0.500970i | 0.953025 | + | 0.302893i | \(0.0979525\pi\) |
−0.980186 | + | 0.198077i | \(0.936530\pi\) | |||||||
\(614\) | −3.56122 | + | 2.14272i | −0.143719 | + | 0.0864730i | ||||
\(615\) | −0.255563 | − | 0.920455i | −0.0103053 | − | 0.0371163i | ||||
\(616\) | 3.27409 | − | 11.7922i | 0.131917 | − | 0.475121i | ||||
\(617\) | 25.3378 | + | 15.2453i | 1.02006 | + | 0.613751i | 0.924305 | − | 0.381654i | \(-0.124645\pi\) |
0.0957563 | + | 0.995405i | \(0.469473\pi\) | |||||||
\(618\) | −0.735061 | + | 1.08413i | −0.0295685 | + | 0.0436103i | ||||
\(619\) | 39.4671 | − | 4.29230i | 1.58632 | − | 0.172522i | 0.727975 | − | 0.685603i | \(-0.240462\pi\) |
0.858340 | + | 0.513081i | \(0.171496\pi\) | |||||||
\(620\) | 20.6843 | − | 2.24955i | 0.830700 | − | 0.0903440i | ||||
\(621\) | 4.98886 | − | 7.35802i | 0.200196 | − | 0.295267i | ||||
\(622\) | 1.15153 | + | 0.692851i | 0.0461721 | + | 0.0277808i | ||||
\(623\) | −5.60599 | + | 20.1910i | −0.224599 | + | 0.808933i | ||||
\(624\) | −4.76987 | − | 17.1795i | −0.190948 | − | 0.687731i | ||||
\(625\) | 10.2686 | − | 6.17844i | 0.410746 | − | 0.247138i | ||||
\(626\) | −0.0106300 | + | 0.196060i | −0.000424862 | + | 0.00783611i | ||||
\(627\) | 30.2589 | − | 10.1954i | 1.20842 | − | 0.407166i | ||||
\(628\) | 3.96892 | + | 7.48618i | 0.158377 | + | 0.298731i | ||||
\(629\) | −5.24215 | − | 6.17154i | −0.209018 | − | 0.246075i | ||||
\(630\) | −0.536612 | − | 0.791443i | −0.0213791 | − | 0.0315319i | ||||
\(631\) | −1.87050 | − | 34.4993i | −0.0744633 | − | 1.37340i | −0.762156 | − | 0.647393i | \(-0.775859\pi\) |
0.687693 | − | 0.726002i | \(-0.258624\pi\) | |||||||
\(632\) | 2.33502 | + | 5.86045i | 0.0928820 | + | 0.233116i | ||||
\(633\) | 15.1959 | + | 7.03039i | 0.603984 | + | 0.279433i | ||||
\(634\) | 4.61322 | − | 1.01545i | 0.183214 | − | 0.0403285i | ||||
\(635\) | 13.6445 | − | 25.7363i | 0.541467 | − | 1.02131i | ||||
\(636\) | −0.776242 | + | 4.73486i | −0.0307800 | + | 0.187750i | ||||
\(637\) | −6.50579 | + | 4.94557i | −0.257769 | + | 0.195951i | ||||
\(638\) | 6.16757 | − | 2.85342i | 0.244176 | − | 0.112968i | ||||
\(639\) | −6.95496 | − | 6.58809i | −0.275134 | − | 0.260621i | ||||
\(640\) | 2.00090 | + | 12.2050i | 0.0790926 | + | 0.482444i | ||||
\(641\) | 0.530770 | + | 0.178837i | 0.0209641 | + | 0.00706364i | 0.329764 | − | 0.944063i | \(-0.393031\pi\) |
−0.308800 | + | 0.951127i | \(0.599927\pi\) | |||||||
\(642\) | −0.850655 | + | 2.13498i | −0.0335727 | + | 0.0842611i | ||||
\(643\) | 17.6698 | − | 16.7377i | 0.696828 | − | 0.660070i | −0.254916 | − | 0.966963i | \(-0.582048\pi\) |
0.951744 | + | 0.306893i | \(0.0992893\pi\) | |||||||
\(644\) | −31.7364 | − | 24.1253i | −1.25059 | − | 0.950672i | ||||
\(645\) | 3.45472 | + | 0.760441i | 0.136029 | + | 0.0299423i | ||||
\(646\) | −0.636844 | + | 0.749751i | −0.0250563 | + | 0.0294986i | ||||
\(647\) | −29.1264 | − | 3.16768i | −1.14508 | − | 0.124534i | −0.484149 | − | 0.874985i | \(-0.660871\pi\) |
−0.660926 | + | 0.750451i | \(0.729836\pi\) | |||||||
\(648\) | −0.927465 | −0.0364343 | ||||||||
\(649\) | −41.8504 | + | 13.4379i | −1.64277 | + | 0.527484i | ||||
\(650\) | −2.15719 | −0.0846119 | ||||||||
\(651\) | 13.9058 | + | 1.51234i | 0.545010 | + | 0.0592735i | ||||
\(652\) | −23.6199 | + | 27.8075i | −0.925025 | + | 1.08902i | ||||
\(653\) | 2.36642 | + | 0.520889i | 0.0926052 | + | 0.0203840i | 0.261031 | − | 0.965330i | \(-0.415937\pi\) |
−0.168426 | + | 0.985714i | \(0.553868\pi\) | |||||||
\(654\) | 1.44109 | + | 1.09549i | 0.0563512 | + | 0.0428371i | ||||
\(655\) | −6.64083 | + | 6.29053i | −0.259479 | + | 0.245791i | ||||
\(656\) | −0.736024 | + | 1.84728i | −0.0287369 | + | 0.0721242i | ||||
\(657\) | 8.43375 | + | 2.84166i | 0.329032 | + | 0.110864i | ||||
\(658\) | 0.528353 | + | 3.22281i | 0.0205974 | + | 0.125638i | ||||
\(659\) | 8.72536 | + | 8.26510i | 0.339892 | + | 0.321963i | 0.838538 | − | 0.544843i | \(-0.183411\pi\) |
−0.498646 | + | 0.866806i | \(0.666169\pi\) | |||||||
\(660\) | −17.8135 | + | 8.24142i | −0.693391 | + | 0.320797i | ||||
\(661\) | −22.7907 | + | 17.3251i | −0.886457 | + | 0.673867i | −0.945933 | − | 0.324363i | \(-0.894850\pi\) |
0.0594760 | + | 0.998230i | \(0.481057\pi\) | |||||||
\(662\) | −0.111616 | + | 0.680826i | −0.00433807 | + | 0.0264611i | ||||
\(663\) | −1.70568 | + | 3.21725i | −0.0662431 | + | 0.124948i | ||||
\(664\) | −7.90125 | + | 1.73920i | −0.306628 | + | 0.0674939i | ||||
\(665\) | −20.5957 | − | 9.52860i | −0.798668 | − | 0.369503i | ||||
\(666\) | 0.939779 | + | 2.35867i | 0.0364157 | + | 0.0913965i | ||||
\(667\) | −2.43093 | − | 44.8359i | −0.0941260 | − | 1.73605i | ||||
\(668\) | −20.0017 | − | 29.5004i | −0.773890 | − | 1.14140i | ||||
\(669\) | 2.16863 | + | 2.55311i | 0.0838440 | + | 0.0987088i | ||||
\(670\) | −1.81914 | − | 3.43126i | −0.0702794 | − | 0.132561i | ||||
\(671\) | 43.5235 | − | 14.6648i | 1.68021 | − | 0.566128i | ||||
\(672\) | −0.339329 | + | 6.25856i | −0.0130899 | + | 0.241429i | ||||
\(673\) | 0.550059 | − | 0.330960i | 0.0212032 | − | 0.0127576i | −0.504913 | − | 0.863170i | \(-0.668475\pi\) |
0.526116 | + | 0.850413i | \(0.323648\pi\) | |||||||
\(674\) | 1.04767 | + | 3.77338i | 0.0403549 | + | 0.145345i | ||||
\(675\) | 0.505440 | − | 1.82043i | 0.0194544 | − | 0.0700684i | ||||
\(676\) | 17.6363 | + | 10.6114i | 0.678321 | + | 0.408132i | ||||
\(677\) | 25.4163 | − | 37.4862i | 0.976827 | − | 1.44071i | 0.0807907 | − | 0.996731i | \(-0.474255\pi\) |
0.896036 | − | 0.443981i | \(-0.146434\pi\) | |||||||
\(678\) | −0.779838 | + | 0.0848125i | −0.0299495 | + | 0.00325721i | ||||
\(679\) | −18.6873 | + | 2.03236i | −0.717151 | + | 0.0779949i | ||||
\(680\) | 0.688335 | − | 1.01522i | 0.0263965 | − | 0.0389319i | ||||
\(681\) | 15.6940 | + | 9.44279i | 0.601397 | + | 0.361848i | ||||
\(682\) | −2.18343 | + | 7.86399i | −0.0836077 | + | 0.301128i | ||||
\(683\) | 0.882938 | + | 3.18006i | 0.0337847 | + | 0.121681i | 0.978520 | − | 0.206154i | \(-0.0660947\pi\) |
−0.944735 | + | 0.327835i | \(0.893681\pi\) | |||||||
\(684\) | −9.29798 | + | 5.59441i | −0.355517 | + | 0.213908i | ||||
\(685\) | 0.569767 | − | 10.5087i | 0.0217697 | − | 0.401518i | ||||
\(686\) | 4.46100 | − | 1.50308i | 0.170322 | − | 0.0573880i | ||||
\(687\) | −3.79276 | − | 7.15391i | −0.144703 | − | 0.272939i | ||||
\(688\) | −4.76706 | − | 5.61221i | −0.181742 | − | 0.213964i | ||||
\(689\) | −6.72395 | − | 9.91708i | −0.256162 | − | 0.377811i | ||||
\(690\) | −0.199579 | − | 3.68101i | −0.00759783 | − | 0.140134i | ||||
\(691\) | 5.70849 | + | 14.3272i | 0.217161 | + | 0.545033i | 0.996687 | − | 0.0813371i | \(-0.0259190\pi\) |
−0.779526 | + | 0.626370i | \(0.784540\pi\) | |||||||
\(692\) | −6.39725 | − | 2.95968i | −0.243187 | − | 0.112510i | ||||
\(693\) | −12.8869 | + | 2.83662i | −0.489533 | + | 0.107754i | ||||
\(694\) | −2.95937 | + | 5.58197i | −0.112336 | + | 0.211889i | ||||
\(695\) | −2.20967 | + | 13.4784i | −0.0838175 | + | 0.511264i | ||||
\(696\) | −3.72933 | + | 2.83496i | −0.141360 | + | 0.107459i | ||||
\(697\) | 0.368593 | − | 0.170529i | 0.0139615 | − | 0.00645926i | ||||
\(698\) | 1.48796 | + | 1.40947i | 0.0563200 | + | 0.0533492i | ||||
\(699\) | −0.178689 | − | 1.08996i | −0.00675864 | − | 0.0412259i | ||||
\(700\) | −8.02876 | − | 2.70521i | −0.303459 | − | 0.102247i | ||||
\(701\) | 5.09100 | − | 12.7774i | 0.192284 | − | 0.482597i | −0.800949 | − | 0.598733i | \(-0.795671\pi\) |
0.993233 | + | 0.116135i | \(0.0370506\pi\) | |||||||
\(702\) | 0.828938 | − | 0.785212i | 0.0312863 | − | 0.0296359i | ||||
\(703\) | 47.9698 | + | 36.4657i | 1.80921 | + | 1.37533i | ||||
\(704\) | 37.4645 | + | 8.24657i | 1.41200 | + | 0.310804i | ||||
\(705\) | 6.87803 | − | 8.09744i | 0.259041 | − | 0.304967i | ||||
\(706\) | 0.706301 | + | 0.0768149i | 0.0265820 | + | 0.00289097i | ||||
\(707\) | −7.59386 | −0.285597 | ||||||||
\(708\) | 12.9083 | − | 7.51741i | 0.485122 | − | 0.282521i | ||||
\(709\) | 6.75089 | 0.253535 | 0.126767 | − | 0.991932i | \(-0.459540\pi\) | ||||
0.126767 | + | 0.991932i | \(0.459540\pi\) | |||||||
\(710\) | −3.94928 | − | 0.429510i | −0.148214 | − | 0.0161192i | ||||
\(711\) | 4.40344 | − | 5.18413i | 0.165142 | − | 0.194420i | ||||
\(712\) | 8.23121 | + | 1.81183i | 0.308478 | + | 0.0679011i | ||||
\(713\) | 42.9303 | + | 32.6348i | 1.60775 | + | 1.22218i | ||||
\(714\) | 0.295136 | − | 0.279568i | 0.0110452 | − | 0.0104626i | ||||
\(715\) | 18.1418 | − | 45.5326i | 0.678466 | − | 1.70282i | ||||
\(716\) | −7.52647 | − | 2.53596i | −0.281277 | − | 0.0947734i | ||||
\(717\) | −3.30146 | − | 20.1380i | −0.123295 | − | 0.752068i | ||||
\(718\) | −5.93269 | − | 5.61974i | −0.221406 | − | 0.209727i | ||||
\(719\) | −9.87492 | + | 4.56863i | −0.368272 | + | 0.170381i | −0.595292 | − | 0.803509i | \(-0.702964\pi\) |
0.227020 | + | 0.973890i | \(0.427102\pi\) | |||||||
\(720\) | 5.15493 | − | 3.91867i | 0.192113 | − | 0.146040i | ||||
\(721\) | 2.07829 | − | 12.6770i | 0.0773997 | − | 0.472117i | ||||
\(722\) | 1.33641 | − | 2.52073i | 0.0497358 | − | 0.0938118i | ||||
\(723\) | −13.0711 | + | 2.87717i | −0.486120 | + | 0.107003i | ||||
\(724\) | −6.45254 | − | 2.98526i | −0.239807 | − | 0.110946i | ||||
\(725\) | −3.53210 | − | 8.86490i | −0.131179 | − | 0.329234i | ||||
\(726\) | −0.276806 | − | 5.10538i | −0.0102732 | − | 0.189479i | ||||
\(727\) | −13.9516 | − | 20.5770i | −0.517436 | − | 0.763160i | 0.475765 | − | 0.879572i | \(-0.342171\pi\) |
−0.993201 | + | 0.116412i | \(0.962861\pi\) | |||||||
\(728\) | −6.72373 | − | 7.91578i | −0.249198 | − | 0.293378i | ||||
\(729\) | 0.468408 | + | 0.883512i | 0.0173485 | + | 0.0327227i | ||||
\(730\) | 3.49729 | − | 1.17837i | 0.129440 | − | 0.0436136i | ||||
\(731\) | −0.0814203 | + | 1.50171i | −0.00301144 | + | 0.0555427i | ||||
\(732\) | −13.3739 | + | 8.04684i | −0.494315 | + | 0.297420i | ||||
\(733\) | 7.35923 | + | 26.5056i | 0.271819 | + | 0.979005i | 0.965859 | + | 0.259068i | \(0.0834154\pi\) |
−0.694040 | + | 0.719937i | \(0.744171\pi\) | |||||||
\(734\) | −1.45876 | + | 5.25396i | −0.0538436 | + | 0.193927i | ||||
\(735\) | −2.54312 | − | 1.53014i | −0.0938044 | − | 0.0564402i | ||||
\(736\) | −13.5604 | + | 20.0000i | −0.499842 | + | 0.737211i | ||||
\(737\) | −53.2792 | + | 5.79446i | −1.96257 | + | 0.213442i | ||||
\(738\) | −0.126598 | + | 0.0137684i | −0.00466013 | + | 0.000506820i | ||||
\(739\) | −10.4949 | + | 15.4788i | −0.386061 | + | 0.569398i | −0.970215 | − | 0.242245i | \(-0.922116\pi\) |
0.584154 | + | 0.811643i | \(0.301426\pi\) | |||||||
\(740\) | −31.7377 | − | 19.0960i | −1.16670 | − | 0.701981i | ||||
\(741\) | 7.24936 | − | 26.1098i | 0.266312 | − | 0.959169i | ||||
\(742\) | 0.357851 | + | 1.28886i | 0.0131371 | + | 0.0473157i | ||||
\(743\) | 14.9740 | − | 9.00956i | 0.549343 | − | 0.330529i | −0.213676 | − | 0.976905i | \(-0.568544\pi\) |
0.763019 | + | 0.646376i | \(0.223716\pi\) | |||||||
\(744\) | 0.304589 | − | 5.61780i | 0.0111668 | − | 0.205959i | ||||
\(745\) | 32.9621 | − | 11.1062i | 1.20764 | − | 0.406901i | ||||
\(746\) | −1.97754 | − | 3.73003i | −0.0724028 | − | 0.136566i | ||||
\(747\) | 5.64723 | + | 6.64844i | 0.206621 | + | 0.243254i | ||||
\(748\) | −4.68286 | − | 6.90671i | −0.171222 | − | 0.252534i | ||||
\(749\) | −1.22028 | − | 22.5068i | −0.0445881 | − | 0.822379i | ||||
\(750\) | −1.05742 | − | 2.65393i | −0.0386117 | − | 0.0969080i | ||||
\(751\) | 44.7129 | + | 20.6864i | 1.63160 | + | 0.754857i | 0.999794 | − | 0.0202738i | \(-0.00645380\pi\) |
0.631801 | + | 0.775130i | \(0.282316\pi\) | |||||||
\(752\) | −21.5986 | + | 4.75422i | −0.787621 | + | 0.173368i | ||||
\(753\) | −2.67877 | + | 5.05270i | −0.0976200 | + | 0.184131i | ||||
\(754\) | 0.933013 | − | 5.69113i | 0.0339783 | − | 0.207259i | ||||
\(755\) | −16.1062 | + | 12.2436i | −0.586163 | + | 0.445590i | ||||
\(756\) | 4.06988 | − | 1.88293i | 0.148020 | − | 0.0684815i | ||||
\(757\) | 12.3373 | + | 11.6865i | 0.448406 | + | 0.424753i | 0.878288 | − | 0.478133i | \(-0.158686\pi\) |
−0.429882 | + | 0.902885i | \(0.641445\pi\) | |||||||
\(758\) | 0.442518 | + | 2.69924i | 0.0160730 | + | 0.0980409i | ||||
\(759\) | −48.2086 | − | 16.2434i | −1.74986 | − | 0.589596i | ||||
\(760\) | −3.37842 | + | 8.47919i | −0.122548 | + | 0.307573i | ||||
\(761\) | −7.30518 | + | 6.91983i | −0.264812 | + | 0.250844i | −0.808572 | − | 0.588398i | \(-0.799759\pi\) |
0.543759 | + | 0.839241i | \(0.317000\pi\) | |||||||
\(762\) | −3.09136 | − | 2.34999i | −0.111988 | − | 0.0851312i | ||||
\(763\) | −17.3387 | − | 3.81653i | −0.627701 | − | 0.138167i | ||||
\(764\) | 21.1250 | − | 24.8702i | 0.764274 | − | 0.899773i | ||||
\(765\) | −1.31475 | − | 0.142987i | −0.0475347 | − | 0.00516971i | ||||
\(766\) | 3.28548 | 0.118709 | ||||||||
\(767\) | −10.4922 | + | 35.7961i | −0.378851 | + | 1.29252i | ||||
\(768\) | −11.7587 | −0.424304 | ||||||||
\(769\) | 33.6759 | + | 3.66248i | 1.21438 | + | 0.132072i | 0.692801 | − | 0.721128i | \(-0.256376\pi\) |
0.521583 | + | 0.853201i | \(0.325342\pi\) | |||||||
\(770\) | −3.54239 | + | 4.17043i | −0.127659 | + | 0.150292i | ||||
\(771\) | 5.40225 | + | 1.18912i | 0.194557 | + | 0.0428253i | ||||
\(772\) | 0.746473 | + | 0.567454i | 0.0268661 | + | 0.0204231i | ||||
\(773\) | 0.147296 | − | 0.139527i | 0.00529789 | − | 0.00501842i | −0.685046 | − | 0.728500i | \(-0.740218\pi\) |
0.690344 | + | 0.723481i | \(0.257459\pi\) | |||||||
\(774\) | 0.174543 | − | 0.438070i | 0.00627382 | − | 0.0157461i | ||||
\(775\) | 10.8607 | + | 3.65938i | 0.390126 | + | 0.131449i | ||||
\(776\) | 1.22316 | + | 7.46096i | 0.0439090 | + | 0.267833i | ||||
\(777\) | −18.0783 | − | 17.1246i | −0.648554 | − | 0.614343i | ||||
\(778\) | −3.10409 | + | 1.43610i | −0.111287 | + | 0.0514868i | ||||
\(779\) | −2.40594 | + | 1.82895i | −0.0862019 | + | 0.0655290i | ||||
\(780\) | −2.69478 | + | 16.4375i | −0.0964887 | + | 0.588555i | ||||
\(781\) | −25.6783 | + | 48.4344i | −0.918842 | + | 1.73312i | ||||
\(782\) | 1.53062 | − | 0.336914i | 0.0547348 | − | 0.0120480i | ||||
\(783\) | 4.58408 | + | 2.12082i | 0.163822 | + | 0.0757919i | ||||
\(784\) | 2.28677 | + | 5.73936i | 0.0816703 | + | 0.204977i | ||||
\(785\) | −0.416034 | − | 7.67330i | −0.0148489 | − | 0.273872i | ||||
\(786\) | 0.684303 | + | 1.00927i | 0.0244083 | + | 0.0359995i | ||||
\(787\) | 1.04296 | + | 1.22787i | 0.0371774 | + | 0.0437687i | 0.780437 | − | 0.625235i | \(-0.214997\pi\) |
−0.743259 | + | 0.669004i | \(0.766721\pi\) | |||||||
\(788\) | 4.35410 | + | 8.21270i | 0.155108 | + | 0.292565i | ||||
\(789\) | 4.67941 | − | 1.57668i | 0.166591 | − | 0.0561311i | ||||
\(790\) | 0.152703 | − | 2.81645i | 0.00543294 | − | 0.100205i | ||||
\(791\) | 6.59215 | − | 3.96637i | 0.234390 | − | 0.141028i | ||||
\(792\) | 1.41987 | + | 5.11390i | 0.0504528 | + | 0.181715i | ||||
\(793\) | 10.4273 | − | 37.5557i | 0.370283 | − | 1.33364i | ||||
\(794\) | 4.24938 | + | 2.55677i | 0.150805 | + | 0.0907364i | ||||
\(795\) | 2.44200 | − | 3.60169i | 0.0866090 | − | 0.127739i | ||||
\(796\) | −21.8450 | + | 2.37579i | −0.774276 | + | 0.0842076i | ||||
\(797\) | −19.7002 | + | 2.14253i | −0.697817 | + | 0.0758922i | −0.450150 | − | 0.892953i | \(-0.648629\pi\) |
−0.247667 | + | 0.968845i | \(0.579664\pi\) | |||||||
\(798\) | −1.69767 | + | 2.50388i | −0.0600969 | + | 0.0886364i | ||||
\(799\) | 3.87030 | + | 2.32868i | 0.136922 | + | 0.0823829i | ||||
\(800\) | −1.37385 | + | 4.94816i | −0.0485730 | + | 0.174944i | ||||
\(801\) | −2.43114 | − | 8.75618i | −0.0859002 | − | 0.309384i | ||||
\(802\) | 5.25660 | − | 3.16279i | 0.185617 | − | 0.111682i | ||||
\(803\) | 2.75716 | − | 50.8528i | 0.0972981 | − | 1.79456i | ||||
\(804\) | 17.2598 | − | 5.81552i | 0.608708 | − | 0.205098i | ||||
\(805\) | 16.9352 | + | 31.9432i | 0.596887 | + | 1.12585i | ||||
\(806\) | 4.48393 | + | 5.27889i | 0.157940 | + | 0.185941i | ||||
\(807\) | −7.89683 | − | 11.6470i | −0.277982 | − | 0.409992i | ||||
\(808\) | 0.165359 | + | 3.04987i | 0.00581731 | + | 0.107294i | ||||
\(809\) | 12.9805 | + | 32.5785i | 0.456369 | + | 1.14540i | 0.959630 | + | 0.281266i | \(0.0907543\pi\) |
−0.503260 | + | 0.864135i | \(0.667866\pi\) | |||||||
\(810\) | 0.376351 | + | 0.174119i | 0.0132236 | + | 0.00611790i | ||||
\(811\) | −15.2599 | + | 3.35896i | −0.535847 | + | 0.117949i | −0.474646 | − | 0.880177i | \(-0.657424\pi\) |
−0.0612008 | + | 0.998125i | \(0.519493\pi\) | |||||||
\(812\) | 10.6095 | − | 20.0116i | 0.372319 | − | 0.702268i | ||||
\(813\) | 0.997152 | − | 6.08236i | 0.0349716 | − | 0.213318i | ||||
\(814\) | 11.5666 | − | 8.79272i | 0.405410 | − | 0.308185i | ||||
\(815\) | 30.0309 | − | 13.8938i | 1.05194 | − | 0.486678i | ||||
\(816\) | 1.99861 | + | 1.89319i | 0.0699655 | + | 0.0662748i | ||||
\(817\) | −1.81055 | − | 11.0439i | −0.0633432 | − | 0.386376i | ||||
\(818\) | 2.18216 | + | 0.735254i | 0.0762973 | + | 0.0257076i | ||||
\(819\) | −4.14489 | + | 10.4029i | −0.144834 | + | 0.363506i | ||||
\(820\) | 1.34871 | − | 1.27757i | 0.0470991 | − | 0.0446146i | ||||
\(821\) | 29.0013 | + | 22.0462i | 1.01215 | + | 0.769419i | 0.973232 | − | 0.229824i | \(-0.0738150\pi\) |
0.0389206 | + | 0.999242i | \(0.487608\pi\) | |||||||
\(822\) | −1.37014 | − | 0.301591i | −0.0477892 | − | 0.0105192i | ||||
\(823\) | 2.71156 | − | 3.19229i | 0.0945189 | − | 0.111276i | −0.712869 | − | 0.701297i | \(-0.752605\pi\) |
0.807388 | + | 0.590021i | \(0.200881\pi\) | |||||||
\(824\) | −5.13664 | − | 0.558643i | −0.178943 | − | 0.0194612i | ||||
\(825\) | −10.8114 | −0.376404 | ||||||||
\(826\) | 2.38603 | − | 3.41304i | 0.0830205 | − | 0.118755i | ||||
\(827\) | 9.01310 | 0.313416 | 0.156708 | − | 0.987645i | \(-0.449912\pi\) | ||||
0.156708 | + | 0.987645i | \(0.449912\pi\) | |||||||
\(828\) | 17.1869 | + | 1.86919i | 0.597286 | + | 0.0649588i | ||||
\(829\) | −32.3053 | + | 38.0327i | −1.12201 | + | 1.32093i | −0.180642 | + | 0.983549i | \(0.557818\pi\) |
−0.941367 | + | 0.337383i | \(0.890458\pi\) | |||||||
\(830\) | 3.53272 | + | 0.777610i | 0.122622 | + | 0.0269912i | ||||
\(831\) | −10.9473 | − | 8.32193i | −0.379758 | − | 0.288685i | ||||
\(832\) | 23.6350 | − | 22.3882i | 0.819395 | − | 0.776172i | ||||
\(833\) | 0.467045 | − | 1.17219i | 0.0161821 | − | 0.0406141i | ||||
\(834\) | 1.72543 | + | 0.581366i | 0.0597469 | + | 0.0201311i | ||||
\(835\) | 5.22953 | + | 31.8987i | 0.180975 | + | 1.10390i | ||||
\(836\) | 45.0812 | + | 42.7031i | 1.55916 | + | 1.47692i | ||||
\(837\) | −5.50541 | + | 2.54707i | −0.190295 | + | 0.0880397i | ||||
\(838\) | −4.96967 | + | 3.77785i | −0.171675 | + | 0.130504i | ||||
\(839\) | −1.99046 | + | 12.1413i | −0.0687183 | + | 0.419163i | 0.929955 | + | 0.367673i | \(0.119845\pi\) |
−0.998673 | + | 0.0514903i | \(0.983603\pi\) | |||||||
\(840\) | 1.76683 | − | 3.33259i | 0.0609613 | − | 0.114985i | ||||
\(841\) | −3.40679 | + | 0.749891i | −0.117476 | + | 0.0258583i | ||||
\(842\) | −6.68925 | − | 3.09478i | −0.230527 | − | 0.106653i | ||||
\(843\) | 3.85569 | + | 9.67705i | 0.132797 | + | 0.333295i | ||||
\(844\) | 1.76283 | + | 32.5136i | 0.0606793 | + | 1.11916i | ||||
\(845\) | −10.4756 | − | 15.4504i | −0.360372 | − | 0.531509i | ||||
\(846\) | −0.916887 | − | 1.07944i | −0.0315232 | − | 0.0371120i | ||||
\(847\) | 23.4883 | + | 44.3036i | 0.807067 | + | 1.52229i | ||||
\(848\) | −8.58397 | + | 2.89228i | −0.294775 | + | 0.0993212i | ||||
\(849\) | −0.428045 | + | 7.89483i | −0.0146905 | + | 0.270950i | ||||
\(850\) | 0.285401 | − | 0.171720i | 0.00978917 | − | 0.00588995i | ||||
\(851\) | −25.6829 | − | 92.5015i | −0.880399 | − | 3.17091i | ||||
\(852\) | 4.98411 | − | 17.9511i | 0.170753 | − | 0.614996i | ||||
\(853\) | −5.46824 | − | 3.29013i | −0.187229 | − | 0.112652i | 0.418853 | − | 0.908054i | \(-0.362432\pi\) |
−0.606082 | + | 0.795402i | \(0.707260\pi\) | |||||||
\(854\) | −2.44188 | + | 3.60151i | −0.0835595 | + | 0.123241i | ||||
\(855\) | 9.78361 | − | 1.06403i | 0.334592 | − | 0.0363891i | ||||
\(856\) | −9.01265 | + | 0.980185i | −0.308046 | + | 0.0335020i | ||||
\(857\) | 21.4959 | − | 31.7040i | 0.734285 | − | 1.08299i | −0.258839 | − | 0.965921i | \(-0.583340\pi\) |
0.993124 | − | 0.117069i | \(-0.0373498\pi\) | |||||||
\(858\) | −5.59858 | − | 3.36855i | −0.191132 | − | 0.115000i | ||||
\(859\) | −3.65092 | + | 13.1494i | −0.124568 | + | 0.448652i | −0.999357 | − | 0.0358509i | \(-0.988586\pi\) |
0.874789 | + | 0.484503i | \(0.161000\pi\) | |||||||
\(860\) | 1.84041 | + | 6.62855i | 0.0627574 | + | 0.226032i | ||||
\(861\) | 1.07016 | − | 0.643895i | 0.0364710 | − | 0.0219439i | ||||
\(862\) | −0.294804 | + | 5.43733i | −0.0100411 | + | 0.185196i | ||||
\(863\) | −49.6713 | + | 16.7362i | −1.69083 | + | 0.569708i | −0.989679 | − | 0.143303i | \(-0.954228\pi\) |
−0.701153 | + | 0.713011i | \(0.747331\pi\) | |||||||
\(864\) | −1.27319 | − | 2.40150i | −0.0433149 | − | 0.0817006i | ||||
\(865\) | 4.13853 | + | 4.87225i | 0.140714 | + | 0.165662i | ||||
\(866\) | 2.39029 | + | 3.52542i | 0.0812254 | + | 0.119799i | ||||
\(867\) | 0.889922 | + | 16.4136i | 0.0302233 | + | 0.557436i | ||||
\(868\) | 10.0686 | + | 25.2703i | 0.341751 | + | 0.857731i | ||||
\(869\) | −35.3258 | − | 16.3435i | −1.19835 | − | 0.554414i | ||||
\(870\) | 2.04553 | − | 0.450255i | 0.0693499 | − | 0.0152651i | ||||
\(871\) | −21.3041 | + | 40.1837i | −0.721860 | + | 1.36157i | ||||
\(872\) | −1.15525 | + | 7.04670i | −0.0391216 | + | 0.238631i | ||||
\(873\) | 6.48964 | − | 4.93330i | 0.219641 | − | 0.166967i | ||||
\(874\) | −10.5848 | + | 4.89703i | −0.358035 | + | 0.165644i | ||||
\(875\) | 20.3414 | + | 19.2684i | 0.687664 | + | 0.651390i | ||||
\(876\) | 2.80001 | + | 17.0793i | 0.0946034 | + | 0.577055i | ||||
\(877\) | 15.8982 | + | 5.35674i | 0.536846 | + | 0.180884i | 0.574648 | − | 0.818401i | \(-0.305139\pi\) |
−0.0378021 | + | 0.999285i | \(0.512036\pi\) | |||||||
\(878\) | −3.23941 | + | 8.13031i | −0.109325 | + | 0.274385i | ||||
\(879\) | 13.7323 | − | 13.0079i | 0.463179 | − | 0.438746i | ||||
\(880\) | −29.4987 | − | 22.4244i | −0.994402 | − | 0.755925i | ||||
\(881\) | −55.6631 | − | 12.2524i | −1.87534 | − | 0.412793i | −0.877564 | − | 0.479460i | \(-0.840832\pi\) |
−0.997775 | + | 0.0666669i | \(0.978764\pi\) | |||||||
\(882\) | −0.256138 | + | 0.301549i | −0.00862461 | + | 0.0101537i | ||||
\(883\) | −35.7696 | − | 3.89018i | −1.20374 | − | 0.130915i | −0.515819 | − | 0.856698i | \(-0.672512\pi\) |
−0.687924 | + | 0.725783i | \(0.741478\pi\) | |||||||
\(884\) | −7.08158 | −0.238179 | ||||||||
\(885\) | −13.4875 | + | 1.27204i | −0.453378 | + | 0.0427590i | ||||
\(886\) | −3.97141 | −0.133422 | ||||||||
\(887\) | −8.81191 | − | 0.958353i | −0.295875 | − | 0.0321784i | −0.0410224 | − | 0.999158i | \(-0.513061\pi\) |
−0.254853 | + | 0.966980i | \(0.582027\pi\) | |||||||
\(888\) | −6.48398 | + | 7.63353i | −0.217588 | + | 0.256164i | ||||
\(889\) | 37.1940 | + | 8.18701i | 1.24745 | + | 0.274584i | ||||
\(890\) | −2.99996 | − | 2.28051i | −0.100559 | − | 0.0764428i | ||||
\(891\) | 4.15446 | − | 3.93532i | 0.139180 | − | 0.131838i | ||||
\(892\) | −2.41125 | + | 6.05179i | −0.0807347 | + | 0.202629i | ||||
\(893\) | −31.8525 | − | 10.7324i | −1.06590 | − | 0.359144i | ||||
\(894\) | −0.750149 | − | 4.57571i | −0.0250887 | − | 0.153035i | ||||
\(895\) | 5.22935 | + | 4.95350i | 0.174798 | + | 0.165577i | ||||
\(896\) | −14.6754 | + | 6.78958i | −0.490272 | + | 0.226824i | ||||
\(897\) | −34.3688 | + | 26.1265i | −1.14754 | + | 0.872339i | ||||
\(898\) | 1.20324 | − | 7.33946i | 0.0401527 | − | 0.244921i | ||||
\(899\) | −14.3516 | + | 27.0700i | −0.478653 | + | 0.902835i | ||||
\(900\) | 3.58825 | − | 0.789834i | 0.119608 | − | 0.0263278i | ||||
\(901\) | 1.67903 | + | 0.776801i | 0.0559365 | + | 0.0258790i | ||||
\(902\) | 0.269727 | + | 0.676964i | 0.00898093 | + | 0.0225404i | ||||
\(903\) | 0.250385 | + | 4.61809i | 0.00833231 | + | 0.153680i | ||||
\(904\) | −1.73653 | − | 2.56119i | −0.0577561 | − | 0.0851838i | ||||
\(905\) | 4.17430 | + | 4.91436i | 0.138758 | + | 0.163359i | ||||
\(906\) | 1.26329 | + | 2.38283i | 0.0419701 | + | 0.0791641i | ||||
\(907\) | 16.1975 | − | 5.45756i | 0.537828 | − | 0.181215i | −0.0372619 | − | 0.999306i | \(-0.511864\pi\) |
0.575090 | + | 0.818090i | \(0.304967\pi\) | |||||||
\(908\) | −1.92838 | + | 35.5669i | −0.0639956 | + | 1.18033i | ||||
\(909\) | 2.82182 | − | 1.69783i | 0.0935938 | − | 0.0563135i | ||||
\(910\) | 1.24231 | + | 4.47439i | 0.0411821 | + | 0.148325i | ||||
\(911\) | 0.147234 | − | 0.530287i | 0.00487806 | − | 0.0175692i | −0.961071 | − | 0.276302i | \(-0.910891\pi\) |
0.965949 | + | 0.258733i | \(0.0833049\pi\) | |||||||
\(912\) | −17.5534 | − | 10.5615i | −0.581251 | − | 0.349727i | ||||
\(913\) | 28.0131 | − | 41.3162i | 0.927098 | − | 1.36737i | ||||
\(914\) | 1.55899 | − | 0.169550i | 0.0515667 | − | 0.00560822i | ||||
\(915\) | 14.0725 | − | 1.53047i | 0.465221 | − | 0.0505958i | ||||
\(916\) | 8.83681 | − | 13.0333i | 0.291977 | − | 0.430633i | ||||
\(917\) | −10.2473 | − | 6.16560i | −0.338396 | − | 0.203606i | ||||
\(918\) | −0.0471646 | + | 0.169872i | −0.00155667 | + | 0.00560660i | ||||
\(919\) | 2.57254 | + | 9.26543i | 0.0848601 | + | 0.305638i | 0.993784 | − | 0.111323i | \(-0.0355088\pi\) |
−0.908924 | + | 0.416961i | \(0.863095\pi\) | |||||||
\(920\) | 12.4603 | − | 7.49712i | 0.410804 | − | 0.247173i | ||||
\(921\) | −0.957016 | + | 17.6511i | −0.0315347 | + | 0.581624i | ||||
\(922\) | 7.14151 | − | 2.40626i | 0.235193 | − | 0.0792458i | ||||
\(923\) | 21.7918 | + | 41.1036i | 0.717285 | + | 1.35294i | ||||
\(924\) | −16.6128 | − | 19.5581i | −0.546522 | − | 0.643416i | ||||
\(925\) | −11.4495 | − | 16.8868i | −0.376459 | − | 0.555235i | ||||
\(926\) | 0.367450 | + | 6.77722i | 0.0120752 | + | 0.222713i | ||||
\(927\) | 2.06205 | + | 5.17535i | 0.0677265 | + | 0.169981i | ||||
\(928\) | −12.4601 | − | 5.76466i | −0.409023 | − | 0.189234i | ||||
\(929\) | 7.28734 | − | 1.60406i | 0.239090 | − | 0.0526277i | −0.0938089 | − | 0.995590i | \(-0.529904\pi\) |
0.332899 | + | 0.942963i | \(0.391973\pi\) | |||||||
\(930\) | −1.17826 | + | 2.22244i | −0.0386367 | + | 0.0728766i | ||||
\(931\) | −1.51909 | + | 9.26601i | −0.0497860 | + | 0.303681i | ||||
\(932\) | 1.70997 | − | 1.29989i | 0.0560120 | − | 0.0425792i | ||||
\(933\) | 5.18761 | − | 2.40004i | 0.169835 | − | 0.0785739i | ||||
\(934\) | 3.91436 | + | 3.70788i | 0.128082 | + | 0.121325i | ||||
\(935\) | 1.22435 | + | 7.46821i | 0.0400406 | + | 0.244237i | ||||
\(936\) | 4.26829 | + | 1.43815i | 0.139513 | + | 0.0470076i | ||||
\(937\) | −9.45077 | + | 23.7196i | −0.308743 | + | 0.774887i | 0.689954 | + | 0.723853i | \(0.257631\pi\) |
−0.998697 | + | 0.0510336i | \(0.983748\pi\) | |||||||
\(938\) | 3.68627 | − | 3.49182i | 0.120361 | − | 0.114012i | ||||
\(939\) | 0.664826 | + | 0.505388i | 0.0216958 | + | 0.0164927i | ||||
\(940\) | 20.1782 | + | 4.44157i | 0.658142 | + | 0.144868i | ||||
\(941\) | −39.2920 | + | 46.2581i | −1.28088 | + | 1.50797i | −0.529103 | + | 0.848558i | \(0.677471\pi\) |
−0.751780 | + | 0.659414i | \(0.770804\pi\) | |||||||
\(942\) | −1.01840 | − | 0.110758i | −0.0331812 | − | 0.00360868i | ||||
\(943\) | 4.81496 | 0.156797 | ||||||||
\(944\) | 23.9534 | + | 14.8828i | 0.779617 | + | 0.484394i | ||||
\(945\) | −4.06697 | −0.132299 | ||||||||
\(946\) | −2.68266 | − | 0.291757i | −0.0872209 | − | 0.00948585i | ||||
\(947\) | 27.1232 | − | 31.9319i | 0.881386 | − | 1.03765i | −0.117619 | − | 0.993059i | \(-0.537526\pi\) |
0.999005 | − | 0.0445894i | \(-0.0141979\pi\) | |||||||
\(948\) | 12.9185 | + | 2.84358i | 0.419573 | + | 0.0923550i | ||||
\(949\) | −34.4067 | − | 26.1553i | −1.11689 | − | 0.849036i | ||||
\(950\) | −1.79944 | + | 1.70452i | −0.0583816 | + | 0.0553020i | ||||
\(951\) | 7.43637 | − | 18.6639i | 0.241141 | − | 0.605218i | ||||
\(952\) | 1.51969 | + | 0.512043i | 0.0492534 | + | 0.0165954i | ||||
\(953\) | −2.62392 | − | 16.0052i | −0.0849972 | − | 0.518460i | −0.994668 | − | 0.103130i | \(-0.967114\pi\) |
0.909671 | − | 0.415330i | \(-0.136334\pi\) | |||||||
\(954\) | −0.421138 | − | 0.398923i | −0.0136349 | − | 0.0129156i | ||||
\(955\) | −26.8588 | + | 12.4262i | −0.869132 | + | 0.402103i | ||||
\(956\) | 31.5934 | − | 24.0167i | 1.02181 | − | 0.776756i | ||||
\(957\) | 4.67606 | − | 28.5227i | 0.151156 | − | 0.922009i | ||||
\(958\) | −2.69918 | + | 5.09119i | −0.0872065 | + | 0.164489i | ||||
\(959\) | 13.4377 | − | 2.95787i | 0.433927 | − | 0.0955146i | ||||
\(960\) | 10.7306 | + | 4.96452i | 0.346330 | + | 0.160229i | ||||
\(961\) | −2.14572 | − | 5.38534i | −0.0692166 | − | 0.173721i | ||||
\(962\) | −0.667542 | − | 12.3121i | −0.0215224 | − | 0.396958i | ||||
\(963\) | 5.48550 | + | 8.09051i | 0.176768 | + | 0.260713i | ||||
\(964\) | −16.8503 | − | 19.8377i | −0.542711 | − | 0.638929i | ||||
\(965\) | −0.398334 | − | 0.751337i | −0.0128228 | − | 0.0241864i | ||||
\(966\) | 4.56737 | − | 1.53893i | 0.146953 | − | 0.0495142i | ||||
\(967\) | −0.438045 | + | 8.07926i | −0.0140866 | + | 0.259812i | 0.983004 | + | 0.183585i | \(0.0587701\pi\) |
−0.997090 | + | 0.0762270i | \(0.975713\pi\) | |||||||
\(968\) | 17.2819 | − | 10.3982i | 0.555460 | − | 0.334209i | ||||
\(969\) | 1.11933 | + | 4.03146i | 0.0359581 | + | 0.129509i | ||||
\(970\) | 0.904351 | − | 3.25718i | 0.0290370 | − | 0.104582i | ||||
\(971\) | 35.5065 | + | 21.3636i | 1.13946 | + | 0.685589i | 0.954810 | − | 0.297216i | \(-0.0960581\pi\) |
0.184648 | + | 0.982805i | \(0.440886\pi\) | |||||||
\(972\) | −1.09135 | + | 1.60962i | −0.0350051 | + | 0.0516287i | ||||
\(973\) | −17.7524 | + | 1.93069i | −0.569115 | + | 0.0618950i | ||||
\(974\) | −0.729018 | + | 0.0792854i | −0.0233592 | + | 0.00254047i | ||||
\(975\) | −5.14890 | + | 7.59406i | −0.164897 | + | 0.243205i | ||||
\(976\) | −25.2483 | − | 15.1914i | −0.808178 | − | 0.486264i | ||||
\(977\) | −13.4341 | + | 48.3853i | −0.429795 | + | 1.54798i | 0.359006 | + | 0.933335i | \(0.383116\pi\) |
−0.788802 | + | 0.614648i | \(0.789298\pi\) | |||||||
\(978\) | −1.18007 | − | 4.25023i | −0.0377345 | − | 0.135907i | ||||
\(979\) | −44.5584 | + | 26.8099i | −1.42409 | + | 0.856849i | ||||
\(980\) | 0.312482 | − | 5.76339i | 0.00998187 | − | 0.184105i | ||||
\(981\) | 7.29620 | − | 2.45838i | 0.232950 | − | 0.0784899i | ||||
\(982\) | −4.13350 | − | 7.79660i | −0.131905 | − | 0.248800i | ||||
\(983\) | −36.8254 | − | 43.3543i | −1.17455 | − | 1.38279i | −0.908003 | − | 0.418964i | \(-0.862393\pi\) |
−0.266546 | − | 0.963822i | \(-0.585882\pi\) | |||||||
\(984\) | −0.281906 | − | 0.415780i | −0.00898682 | − | 0.0132546i | ||||
\(985\) | −0.456410 | − | 8.41798i | −0.0145424 | − | 0.268219i | ||||
\(986\) | 0.329595 | + | 0.827220i | 0.0104964 | + | 0.0263440i | ||||
\(987\) | 12.6065 | + | 5.83240i | 0.401270 | + | 0.185647i | ||||
\(988\) | 51.4651 | − | 11.3283i | 1.63732 | − | 0.360402i | ||||
\(989\) | −8.35172 | + | 15.7530i | −0.265569 | + | 0.500917i | ||||
\(990\) | 0.383903 | − | 2.34171i | 0.0122012 | − | 0.0744243i | ||||
\(991\) | 43.8587 | − | 33.3405i | 1.39322 | − | 1.05910i | 0.403669 | − | 0.914905i | \(-0.367735\pi\) |
0.989550 | − | 0.144192i | \(-0.0460582\pi\) | |||||||
\(992\) | 14.9644 | − | 6.92327i | 0.475120 | − | 0.219814i | ||||
\(993\) | 2.13034 | + | 2.01796i | 0.0676042 | + | 0.0640381i | ||||
\(994\) | −0.840261 | − | 5.12536i | −0.0266514 | − | 0.162567i | ||||
\(995\) | 18.8854 | + | 6.36325i | 0.598709 | + | 0.201729i | ||||
\(996\) | −6.27904 | + | 15.7592i | −0.198959 | + | 0.499350i | ||||
\(997\) | −28.7668 | + | 27.2493i | −0.911053 | + | 0.862995i | −0.991008 | − | 0.133803i | \(-0.957281\pi\) |
0.0799551 | + | 0.996798i | \(0.474522\pi\) | |||||||
\(998\) | 3.73579 | + | 2.83988i | 0.118254 | + | 0.0898947i | ||||
\(999\) | 10.5465 | + | 2.32145i | 0.333675 | + | 0.0734474i |
(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 | 177.2.e.b.4.3 | ✓ | 140 | |
3.2 | odd | 2 | 531.2.i.b.181.3 | 140 | |||
59.15 | even | 29 | inner | 177.2.e.b.133.3 | yes | 140 | |
177.74 | odd | 58 | 531.2.i.b.487.3 | 140 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.2.e.b.4.3 | ✓ | 140 | 1.1 | even | 1 | trivial | |
177.2.e.b.133.3 | yes | 140 | 59.15 | even | 29 | inner | |
531.2.i.b.181.3 | 140 | 3.2 | odd | 2 | |||
531.2.i.b.487.3 | 140 | 177.74 | odd | 58 |