Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [287,2,Mod(12,287)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(287, base_ring=CyclotomicField(120))
chi = DirichletCharacter(H, H._module([100, 81]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("287.12");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 287 = 7 \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 287.be (of order \(120\), degree \(32\), 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: | \(2.29170653801\) |
Analytic rank: | \(0\) |
Dimension: | \(832\) |
Relative dimension: | \(26\) over \(\Q(\zeta_{120})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{120}]$ |
Embedding invariants
Embedding label | 12.11 | ||
Character | \(\chi\) | \(=\) | 287.12 |
Dual form | 287.2.be.a.24.11 |
$q$-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 \(\left(\mathbb{Z}/287\mathbb{Z}\right)^\times\).
\(n\) | \(206\) | \(211\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{27}{40}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.352928 | − | 0.285796i | −0.249558 | − | 0.202088i | 0.496377 | − | 0.868107i | \(-0.334664\pi\) |
−0.745935 | + | 0.666019i | \(0.767997\pi\) | |||||||
\(3\) | 3.08231 | − | 0.405794i | 1.77957 | − | 0.234285i | 0.832213 | − | 0.554456i | \(-0.187074\pi\) |
0.947360 | + | 0.320171i | \(0.103740\pi\) | |||||||
\(4\) | −0.372944 | − | 1.75456i | −0.186472 | − | 0.877282i | ||||
\(5\) | 1.87083 | + | 0.0980462i | 0.836662 | + | 0.0438476i | 0.465854 | − | 0.884862i | \(-0.345747\pi\) |
0.370808 | + | 0.928709i | \(0.379081\pi\) | |||||||
\(6\) | −1.20381 | − | 0.737695i | −0.491453 | − | 0.301163i | ||||
\(7\) | −1.92896 | + | 1.81083i | −0.729078 | + | 0.684431i | ||||
\(8\) | −0.782169 | + | 1.53509i | −0.276539 | + | 0.542738i | ||||
\(9\) | 6.43819 | − | 1.72511i | 2.14606 | − | 0.575036i | ||||
\(10\) | −0.632249 | − | 0.569279i | −0.199935 | − | 0.180022i | ||||
\(11\) | −0.640441 | − | 1.34271i | −0.193100 | − | 0.404843i | 0.783044 | − | 0.621966i | \(-0.213666\pi\) |
−0.976144 | + | 0.217123i | \(0.930333\pi\) | |||||||
\(12\) | −1.86152 | − | 5.25677i | −0.537375 | − | 1.51750i | ||||
\(13\) | 0.995875 | + | 4.14812i | 0.276206 | + | 1.15048i | 0.922068 | + | 0.387027i | \(0.126498\pi\) |
−0.645862 | + | 0.763454i | \(0.723502\pi\) | |||||||
\(14\) | 1.19831 | − | 0.0878063i | 0.320263 | − | 0.0234672i | ||||
\(15\) | 5.80627 | − | 0.456964i | 1.49917 | − | 0.117987i | ||||
\(16\) | −2.56259 | + | 1.14094i | −0.640648 | + | 0.285235i | ||||
\(17\) | −0.660046 | − | 0.233735i | −0.160085 | − | 0.0566890i | 0.252559 | − | 0.967582i | \(-0.418728\pi\) |
−0.412644 | + | 0.910893i | \(0.635395\pi\) | |||||||
\(18\) | −2.76525 | − | 1.23117i | −0.651775 | − | 0.290189i | ||||
\(19\) | −3.75290 | − | 3.56137i | −0.860974 | − | 0.817034i | 0.123540 | − | 0.992340i | \(-0.460575\pi\) |
−0.984514 | + | 0.175306i | \(0.943909\pi\) | |||||||
\(20\) | −0.525688 | − | 3.31906i | −0.117547 | − | 0.742165i | ||||
\(21\) | −5.21082 | + | 6.36431i | −1.13709 | + | 1.38881i | ||||
\(22\) | −0.157712 | + | 0.656917i | −0.0336243 | + | 0.140055i | ||||
\(23\) | −5.82780 | + | 0.612527i | −1.21518 | + | 0.127721i | −0.690343 | − | 0.723482i | \(-0.742541\pi\) |
−0.524837 | + | 0.851203i | \(0.675874\pi\) | |||||||
\(24\) | −1.78796 | + | 5.04903i | −0.364965 | + | 1.03063i | ||||
\(25\) | −1.48221 | − | 0.155786i | −0.296441 | − | 0.0311573i | ||||
\(26\) | 0.834042 | − | 1.74861i | 0.163569 | − | 0.342930i | ||||
\(27\) | 10.5277 | − | 4.36071i | 2.02605 | − | 0.839219i | ||||
\(28\) | 3.89662 | + | 2.70914i | 0.736392 | + | 0.511980i | ||||
\(29\) | −2.54939 | + | 2.98495i | −0.473409 | + | 0.554291i | −0.944806 | − | 0.327630i | \(-0.893750\pi\) |
0.471397 | + | 0.881921i | \(0.343750\pi\) | |||||||
\(30\) | −2.17980 | − | 1.49813i | −0.397975 | − | 0.273520i | ||||
\(31\) | 5.19320 | − | 5.76763i | 0.932725 | − | 1.03590i | −0.0665480 | − | 0.997783i | \(-0.521199\pi\) |
0.999273 | − | 0.0381133i | \(-0.0121348\pi\) | |||||||
\(32\) | 4.55883 | + | 1.22153i | 0.805895 | + | 0.215939i | ||||
\(33\) | −2.51890 | − | 3.87877i | −0.438485 | − | 0.675207i | ||||
\(34\) | 0.166149 | + | 0.271130i | 0.0284943 | + | 0.0464984i | ||||
\(35\) | −3.78630 | + | 3.19864i | −0.640002 | + | 0.540669i | ||||
\(36\) | −5.42790 | − | 10.6528i | −0.904649 | − | 1.77547i | ||||
\(37\) | 5.49355 | + | 6.10121i | 0.903135 | + | 1.00303i | 0.999970 | + | 0.00773238i | \(0.00246132\pi\) |
−0.0968353 | + | 0.995300i | \(0.530872\pi\) | |||||||
\(38\) | 0.306681 | + | 2.32947i | 0.0497502 | + | 0.377890i | ||||
\(39\) | 4.75288 | + | 12.3817i | 0.761069 | + | 1.98265i | ||||
\(40\) | −1.61382 | + | 2.79522i | −0.255167 | + | 0.441962i | ||||
\(41\) | −6.26877 | + | 1.30478i | −0.979018 | + | 0.203773i | ||||
\(42\) | 3.65794 | − | 0.756914i | 0.564432 | − | 0.116794i | ||||
\(43\) | 0.286643 | − | 1.80979i | 0.0437126 | − | 0.275991i | −0.956144 | − | 0.292895i | \(-0.905381\pi\) |
0.999857 | + | 0.0169048i | \(0.00538121\pi\) | |||||||
\(44\) | −2.11703 | + | 1.62445i | −0.319154 | + | 0.244895i | ||||
\(45\) | 12.2139 | − | 2.59615i | 1.82074 | − | 0.387011i | ||||
\(46\) | 2.23185 | + | 1.44938i | 0.329069 | + | 0.213700i | ||||
\(47\) | 10.8894 | − | 5.91247i | 1.58838 | − | 0.862422i | 0.589895 | − | 0.807480i | \(-0.299169\pi\) |
0.998490 | − | 0.0549422i | \(-0.0174974\pi\) | |||||||
\(48\) | −7.43572 | + | 4.55662i | −1.07325 | + | 0.657691i | ||||
\(49\) | 0.441764 | − | 6.98605i | 0.0631091 | − | 0.998007i | ||||
\(50\) | 0.478590 | + | 0.478590i | 0.0676828 | + | 0.0676828i | ||||
\(51\) | −2.12932 | − | 0.452600i | −0.298164 | − | 0.0633767i | ||||
\(52\) | 6.90674 | − | 3.29434i | 0.957792 | − | 0.456843i | ||||
\(53\) | −1.27896 | + | 6.90063i | −0.175678 | + | 0.947875i | 0.773656 | + | 0.633606i | \(0.218426\pi\) |
−0.949334 | + | 0.314269i | \(0.898241\pi\) | |||||||
\(54\) | −4.96179 | − | 1.46975i | −0.675214 | − | 0.200008i | ||||
\(55\) | −1.06651 | − | 2.57478i | −0.143808 | − | 0.347184i | ||||
\(56\) | −1.27103 | − | 4.37751i | −0.169848 | − | 0.584970i | ||||
\(57\) | −13.0128 | − | 9.45434i | −1.72358 | − | 1.25226i | ||||
\(58\) | 1.75284 | − | 0.324869i | 0.230159 | − | 0.0426574i | ||||
\(59\) | −1.74817 | + | 3.92646i | −0.227592 | + | 0.511181i | −0.990859 | − | 0.134903i | \(-0.956928\pi\) |
0.763266 | + | 0.646084i | \(0.223594\pi\) | |||||||
\(60\) | −2.96719 | − | 10.0171i | −0.383062 | − | 1.29320i | ||||
\(61\) | −3.65564 | − | 1.40327i | −0.468056 | − | 0.179670i | 0.112897 | − | 0.993607i | \(-0.463987\pi\) |
−0.580954 | + | 0.813937i | \(0.697320\pi\) | |||||||
\(62\) | −3.48119 | + | 0.551366i | −0.442111 | + | 0.0700236i | ||||
\(63\) | −9.29512 | + | 14.9861i | −1.17107 | + | 1.88808i | ||||
\(64\) | 2.03777 | + | 2.80475i | 0.254721 | + | 0.350594i | ||||
\(65\) | 1.45641 | + | 7.85808i | 0.180645 | + | 0.974675i | ||||
\(66\) | −0.219544 | + | 2.08882i | −0.0270240 | + | 0.257116i | ||||
\(67\) | 5.64764 | − | 3.88152i | 0.689969 | − | 0.474203i | −0.169407 | − | 0.985546i | \(-0.554185\pi\) |
0.859377 | + | 0.511343i | \(0.170852\pi\) | |||||||
\(68\) | −0.163942 | + | 1.24526i | −0.0198809 | + | 0.151010i | ||||
\(69\) | −17.7145 | + | 4.25288i | −2.13258 | + | 0.511987i | ||||
\(70\) | 2.25045 | − | 0.0467809i | 0.268980 | − | 0.00559139i | ||||
\(71\) | −0.137626 | + | 1.74871i | −0.0163332 | + | 0.207533i | 0.983336 | + | 0.181799i | \(0.0581922\pi\) |
−0.999669 | + | 0.0257337i | \(0.991808\pi\) | |||||||
\(72\) | −2.38755 | + | 11.2326i | −0.281376 | + | 1.32377i | ||||
\(73\) | −2.27982 | + | 8.50841i | −0.266833 | + | 0.995834i | 0.694286 | + | 0.719699i | \(0.255720\pi\) |
−0.961119 | + | 0.276135i | \(0.910946\pi\) | |||||||
\(74\) | −0.195131 | − | 3.72332i | −0.0226835 | − | 0.432828i | ||||
\(75\) | −4.63184 | + | 0.121289i | −0.534839 | + | 0.0140052i | ||||
\(76\) | −4.84903 | + | 7.91289i | −0.556222 | + | 0.907671i | ||||
\(77\) | 3.66681 | + | 1.43031i | 0.417872 | + | 0.162998i | ||||
\(78\) | 1.86120 | − | 5.72819i | 0.210740 | − | 0.648590i | ||||
\(79\) | −3.26795 | − | 4.25888i | −0.367673 | − | 0.479161i | 0.572477 | − | 0.819921i | \(-0.305983\pi\) |
−0.940151 | + | 0.340759i | \(0.889316\pi\) | |||||||
\(80\) | −4.90605 | + | 1.88326i | −0.548513 | + | 0.210554i | ||||
\(81\) | 13.3631 | − | 7.71518i | 1.48479 | − | 0.857242i | ||||
\(82\) | 2.58533 | + | 1.33109i | 0.285502 | + | 0.146995i | ||||
\(83\) | 8.56075i | 0.939664i | 0.882756 | + | 0.469832i | \(0.155685\pi\) | ||||
−0.882756 | + | 0.469832i | \(0.844315\pi\) | |||||||
\(84\) | 13.1099 | + | 6.76919i | 1.43041 | + | 0.738580i | ||||
\(85\) | −1.21192 | − | 0.501993i | −0.131451 | − | 0.0544488i | ||||
\(86\) | −0.618395 | + | 0.556806i | −0.0666833 | + | 0.0600419i | ||||
\(87\) | −6.64673 | + | 10.2351i | −0.712604 | + | 1.09731i | ||||
\(88\) | 2.56212 | + | 0.0670916i | 0.273123 | + | 0.00715199i | ||||
\(89\) | 0.144887 | + | 5.53303i | 0.0153580 | + | 0.586500i | 0.963356 | + | 0.268225i | \(0.0864369\pi\) |
−0.947998 | + | 0.318275i | \(0.896896\pi\) | |||||||
\(90\) | −5.05260 | − | 2.57443i | −0.532591 | − | 0.271369i | ||||
\(91\) | −9.43255 | − | 6.19819i | −0.988800 | − | 0.649746i | ||||
\(92\) | 3.24816 | + | 9.99681i | 0.338644 | + | 1.04224i | ||||
\(93\) | 13.6666 | − | 19.8850i | 1.41716 | − | 2.06198i | ||||
\(94\) | −5.53294 | − | 1.02547i | −0.570679 | − | 0.105769i | ||||
\(95\) | −6.67187 | − | 7.03068i | −0.684519 | − | 0.721333i | ||||
\(96\) | 14.5474 | + | 1.91520i | 1.48474 | + | 0.195470i | ||||
\(97\) | −1.15664 | − | 14.6965i | −0.117439 | − | 1.49220i | −0.719913 | − | 0.694064i | \(-0.755818\pi\) |
0.602474 | − | 0.798138i | \(-0.294182\pi\) | |||||||
\(98\) | −2.15249 | + | 2.33932i | −0.217435 | + | 0.236307i | ||||
\(99\) | −6.43961 | − | 7.53981i | −0.647205 | − | 0.757779i | ||||
\(100\) | 0.279444 | + | 2.65873i | 0.0279444 | + | 0.265873i | ||||
\(101\) | 9.20632 | − | 2.72704i | 0.916063 | − | 0.271350i | 0.208518 | − | 0.978019i | \(-0.433136\pi\) |
0.707545 | + | 0.706668i | \(0.249803\pi\) | |||||||
\(102\) | 0.622145 | + | 0.768285i | 0.0616015 | + | 0.0760715i | ||||
\(103\) | −1.11642 | + | 2.90838i | −0.110004 | + | 0.286571i | −0.977521 | − | 0.210836i | \(-0.932381\pi\) |
0.867517 | + | 0.497407i | \(0.165715\pi\) | |||||||
\(104\) | −7.14670 | − | 1.71577i | −0.700791 | − | 0.168245i | ||||
\(105\) | −10.3726 | + | 11.3957i | −1.01226 | + | 1.11210i | ||||
\(106\) | 2.42355 | − | 2.06991i | 0.235396 | − | 0.201047i | ||||
\(107\) | 2.27674 | + | 5.11365i | 0.220101 | + | 0.494355i | 0.989521 | − | 0.144388i | \(-0.0461213\pi\) |
−0.769420 | + | 0.638743i | \(0.779455\pi\) | |||||||
\(108\) | −11.5774 | − | 16.8452i | −1.11403 | − | 1.62093i | ||||
\(109\) | 10.8589 | − | 14.1515i | 1.04009 | − | 1.35547i | 0.107633 | − | 0.994191i | \(-0.465673\pi\) |
0.932457 | − | 0.361281i | \(-0.117661\pi\) | |||||||
\(110\) | −0.359461 | + | 1.21352i | −0.0342732 | + | 0.115704i | ||||
\(111\) | 19.4087 | + | 16.5766i | 1.84219 | + | 1.57338i | ||||
\(112\) | 2.87708 | − | 6.84126i | 0.271859 | − | 0.646438i | ||||
\(113\) | −7.70906 | + | 2.50483i | −0.725208 | + | 0.235634i | −0.648280 | − | 0.761402i | \(-0.724511\pi\) |
−0.0769282 | + | 0.997037i | \(0.524511\pi\) | |||||||
\(114\) | 1.89057 | + | 7.05570i | 0.177068 | + | 0.660827i | ||||
\(115\) | −10.9629 | + | 0.574541i | −1.02230 | + | 0.0535762i | ||||
\(116\) | 6.18806 | + | 3.35984i | 0.574547 | + | 0.311954i | ||||
\(117\) | 13.5676 | + | 24.9884i | 1.25432 | + | 2.31018i | ||||
\(118\) | 1.73914 | − | 0.886138i | 0.160101 | − | 0.0815756i | ||||
\(119\) | 1.69646 | − | 0.744369i | 0.155514 | − | 0.0682362i | ||||
\(120\) | −3.84001 | + | 9.27060i | −0.350543 | + | 0.846286i | ||||
\(121\) | 5.52981 | − | 6.82875i | 0.502710 | − | 0.620795i | ||||
\(122\) | 0.889130 | + | 1.54002i | 0.0804981 | + | 0.139427i | ||||
\(123\) | −18.7928 | + | 6.56558i | −1.69449 | + | 0.591998i | ||||
\(124\) | −12.0564 | − | 6.96079i | −1.08270 | − | 0.625098i | ||||
\(125\) | −12.0094 | − | 1.90210i | −1.07415 | − | 0.170129i | ||||
\(126\) | 7.56349 | − | 2.63253i | 0.673809 | − | 0.234525i | ||||
\(127\) | −6.03050 | − | 1.95943i | −0.535120 | − | 0.173871i | 0.0289760 | − | 0.999580i | \(-0.490775\pi\) |
−0.564096 | + | 0.825709i | \(0.690775\pi\) | |||||||
\(128\) | 0.576413 | − | 10.9986i | 0.0509482 | − | 0.972150i | ||||
\(129\) | 0.149120 | − | 5.69466i | 0.0131293 | − | 0.501387i | ||||
\(130\) | 1.73180 | − | 3.18957i | 0.151889 | − | 0.279744i | ||||
\(131\) | −11.3561 | + | 7.37475i | −0.992189 | + | 0.644335i | −0.935230 | − | 0.354042i | \(-0.884807\pi\) |
−0.0569592 | + | 0.998377i | \(0.518140\pi\) | |||||||
\(132\) | −5.86614 | + | 5.86614i | −0.510582 | + | 0.510582i | ||||
\(133\) | 13.6882 | + | 0.0738567i | 1.18692 | + | 0.00640419i | ||||
\(134\) | −3.10253 | − | 0.244175i | −0.268018 | − | 0.0210935i | ||||
\(135\) | 20.1231 | − | 7.12596i | 1.73192 | − | 0.613305i | ||||
\(136\) | 0.875073 | − | 0.830413i | 0.0750369 | − | 0.0712073i | ||||
\(137\) | −7.59671 | − | 5.82916i | −0.649030 | − | 0.498019i | 0.230989 | − | 0.972956i | \(-0.425804\pi\) |
−0.880019 | + | 0.474938i | \(0.842471\pi\) | |||||||
\(138\) | 7.46742 | + | 3.56177i | 0.635669 | + | 0.303198i | ||||
\(139\) | 11.2670 | − | 15.5076i | 0.955651 | − | 1.31534i | 0.00668006 | − | 0.999978i | \(-0.497874\pi\) |
0.948971 | − | 0.315363i | \(-0.102126\pi\) | |||||||
\(140\) | 7.02430 | + | 5.45040i | 0.593662 | + | 0.460643i | ||||
\(141\) | 31.1653 | − | 22.6429i | 2.62459 | − | 1.90688i | ||||
\(142\) | 0.548345 | − | 0.577835i | 0.0460161 | − | 0.0484908i | ||||
\(143\) | 4.93193 | − | 3.99380i | 0.412429 | − | 0.333978i | ||||
\(144\) | −14.5302 | + | 11.7663i | −1.21085 | + | 0.980528i | ||||
\(145\) | −5.06214 | + | 5.33438i | −0.420388 | + | 0.442996i | ||||
\(146\) | 3.23628 | − | 2.35130i | 0.267836 | − | 0.194595i | ||||
\(147\) | −1.47324 | − | 21.7124i | −0.121511 | − | 1.79081i | ||||
\(148\) | 8.65618 | − | 11.9142i | 0.711533 | − | 0.979342i | ||||
\(149\) | −0.786129 | − | 0.374965i | −0.0644022 | − | 0.0307183i | 0.398036 | − | 0.917370i | \(-0.369692\pi\) |
−0.462438 | + | 0.886652i | \(0.653025\pi\) | |||||||
\(150\) | 1.66937 | + | 1.28095i | 0.136304 | + | 0.104589i | ||||
\(151\) | 14.8293 | − | 14.0725i | 1.20679 | − | 1.14520i | 0.221352 | − | 0.975194i | \(-0.428953\pi\) |
0.985442 | − | 0.170011i | \(-0.0543802\pi\) | |||||||
\(152\) | 8.40244 | − | 2.97546i | 0.681528 | − | 0.241342i | ||||
\(153\) | −4.65272 | − | 0.366177i | −0.376150 | − | 0.0296037i | ||||
\(154\) | −0.885348 | − | 1.55276i | −0.0713433 | − | 0.125125i | ||||
\(155\) | 10.2811 | − | 10.2811i | 0.825797 | − | 0.825797i | ||||
\(156\) | 19.9519 | − | 12.9569i | 1.59743 | − | 1.03738i | ||||
\(157\) | −3.23695 | + | 5.96173i | −0.258337 | + | 0.475798i | −0.975173 | − | 0.221444i | \(-0.928923\pi\) |
0.716836 | + | 0.697242i | \(0.245590\pi\) | |||||||
\(158\) | −0.0638163 | + | 2.43705i | −0.00507695 | + | 0.193881i | ||||
\(159\) | −1.14191 | + | 21.7889i | −0.0905591 | + | 1.72797i | ||||
\(160\) | 8.40904 | + | 2.73226i | 0.664793 | + | 0.216004i | ||||
\(161\) | 10.1324 | − | 11.7347i | 0.798545 | − | 0.924825i | ||||
\(162\) | −6.92118 | − | 1.09621i | −0.543779 | − | 0.0861261i | ||||
\(163\) | 3.95770 | + | 2.28498i | 0.309991 | + | 0.178973i | 0.646922 | − | 0.762556i | \(-0.276056\pi\) |
−0.336931 | + | 0.941529i | \(0.609389\pi\) | |||||||
\(164\) | 4.62723 | + | 10.5124i | 0.361326 | + | 0.820877i | ||||
\(165\) | −4.33215 | − | 7.50350i | −0.337257 | − | 0.584147i | ||||
\(166\) | 2.44662 | − | 3.02133i | 0.189895 | − | 0.234501i | ||||
\(167\) | 4.28319 | − | 10.3405i | 0.331443 | − | 0.800175i | −0.667035 | − | 0.745027i | \(-0.732437\pi\) |
0.998478 | − | 0.0551485i | \(-0.0175632\pi\) | |||||||
\(168\) | −5.69407 | − | 12.9771i | −0.439307 | − | 1.00120i | ||||
\(169\) | −4.63204 | + | 2.36014i | −0.356311 | + | 0.181549i | ||||
\(170\) | 0.284253 | + | 0.523529i | 0.0218012 | + | 0.0401528i | ||||
\(171\) | −30.3056 | − | 16.4546i | −2.31753 | − | 1.25832i | ||||
\(172\) | −3.28230 | + | 0.172018i | −0.250273 | + | 0.0131162i | ||||
\(173\) | 1.43655 | + | 5.36129i | 0.109219 | + | 0.407611i | 0.998790 | − | 0.0491867i | \(-0.0156629\pi\) |
−0.889571 | + | 0.456798i | \(0.848996\pi\) | |||||||
\(174\) | 5.27096 | − | 1.71264i | 0.399590 | − | 0.129835i | ||||
\(175\) | 3.14122 | − | 2.38353i | 0.237454 | − | 0.180178i | ||||
\(176\) | 3.17315 | + | 2.71012i | 0.239185 | + | 0.204283i | ||||
\(177\) | −3.79507 | + | 12.8120i | −0.285255 | + | 0.963005i | ||||
\(178\) | 1.53018 | − | 1.99417i | 0.114692 | − | 0.149469i | ||||
\(179\) | 12.4370 | + | 18.0959i | 0.929583 | + | 1.35255i | 0.935785 | + | 0.352571i | \(0.114692\pi\) |
−0.00620215 | + | 0.999981i | \(0.501974\pi\) | |||||||
\(180\) | −9.11022 | − | 20.4619i | −0.679035 | − | 1.52514i | ||||
\(181\) | −11.9600 | + | 10.2148i | −0.888983 | + | 0.759263i | −0.971428 | − | 0.237332i | \(-0.923727\pi\) |
0.0824456 | + | 0.996596i | \(0.473727\pi\) | |||||||
\(182\) | 1.55760 | + | 4.88330i | 0.115457 | + | 0.361974i | ||||
\(183\) | −11.8372 | − | 2.84187i | −0.875034 | − | 0.210077i | ||||
\(184\) | 3.61804 | − | 9.42532i | 0.266726 | − | 0.694844i | ||||
\(185\) | 9.67932 | + | 11.9530i | 0.711638 | + | 0.878800i | ||||
\(186\) | −10.5064 | + | 3.11213i | −0.770364 | + | 0.228192i | ||||
\(187\) | 0.108882 | + | 1.03595i | 0.00796226 | + | 0.0757559i | ||||
\(188\) | −14.4350 | − | 16.9012i | −1.05278 | − | 1.23264i | ||||
\(189\) | −12.4110 | + | 27.4755i | −0.902764 | + | 1.99855i | ||||
\(190\) | 0.345352 | + | 4.38812i | 0.0250545 | + | 0.318348i | ||||
\(191\) | −2.69859 | − | 0.355276i | −0.195263 | − | 0.0257069i | 0.0322603 | − | 0.999480i | \(-0.489729\pi\) |
−0.227523 | + | 0.973773i | \(0.573063\pi\) | |||||||
\(192\) | 7.41920 | + | 7.81820i | 0.535434 | + | 0.564230i | ||||
\(193\) | 16.2690 | + | 3.01528i | 1.17107 | + | 0.217045i | 0.731934 | − | 0.681376i | \(-0.238618\pi\) |
0.439136 | + | 0.898421i | \(0.355285\pi\) | |||||||
\(194\) | −3.79198 | + | 5.51737i | −0.272248 | + | 0.396124i | ||||
\(195\) | 7.67786 | + | 23.6300i | 0.549823 | + | 1.69218i | ||||
\(196\) | −12.4222 | + | 1.83030i | −0.887302 | + | 0.130736i | ||||
\(197\) | −18.7795 | − | 9.56862i | −1.33798 | − | 0.681736i | −0.369130 | − | 0.929378i | \(-0.620344\pi\) |
−0.968852 | + | 0.247642i | \(0.920344\pi\) | |||||||
\(198\) | 0.117874 | + | 4.50142i | 0.00837694 | + | 0.319902i | ||||
\(199\) | 14.7583 | + | 0.386460i | 1.04619 | + | 0.0273954i | 0.545402 | − | 0.838175i | \(-0.316377\pi\) |
0.500788 | + | 0.865570i | \(0.333044\pi\) | |||||||
\(200\) | 1.39848 | − | 2.15348i | 0.0988877 | − | 0.152274i | ||||
\(201\) | 15.8327 | − | 14.2558i | 1.11675 | − | 1.00553i | ||||
\(202\) | −4.02854 | − | 1.66868i | −0.283447 | − | 0.117408i | ||||
\(203\) | −0.487583 | − | 10.3744i | −0.0342216 | − | 0.728137i | ||||
\(204\) | 3.90481i | 0.273392i | ||||||||
\(205\) | −11.8558 | + | 1.82640i | −0.828042 | + | 0.127562i | ||||
\(206\) | 1.22522 | − | 0.707380i | 0.0853650 | − | 0.0492855i | ||||
\(207\) | −36.4638 | + | 13.9971i | −2.53441 | + | 0.972869i | ||||
\(208\) | −7.28478 | − | 9.49371i | −0.505109 | − | 0.658270i | ||||
\(209\) | −2.37838 | + | 7.31991i | −0.164516 | + | 0.506329i | ||||
\(210\) | 6.91761 | − | 1.05741i | 0.477360 | − | 0.0729684i | ||||
\(211\) | −4.39932 | + | 7.17903i | −0.302861 | + | 0.494225i | −0.967476 | − | 0.252961i | \(-0.918596\pi\) |
0.664615 | + | 0.747186i | \(0.268596\pi\) | |||||||
\(212\) | 12.5846 | − | 0.329539i | 0.864313 | − | 0.0226328i | ||||
\(213\) | 0.285408 | + | 5.44590i | 0.0195558 | + | 0.373147i | ||||
\(214\) | 0.657932 | − | 2.45544i | 0.0449753 | − | 0.167850i | ||||
\(215\) | 0.713704 | − | 3.35771i | 0.0486742 | − | 0.228994i | ||||
\(216\) | −1.54033 | + | 19.5718i | −0.104806 | + | 1.33169i | ||||
\(217\) | 0.426754 | + | 20.5295i | 0.0289700 | + | 1.39364i | ||||
\(218\) | −7.87685 | + | 1.89106i | −0.533488 | + | 0.128079i | ||||
\(219\) | −3.57446 | + | 27.1507i | −0.241539 | + | 1.83467i | ||||
\(220\) | −4.11988 | + | 2.83151i | −0.277762 | + | 0.190901i | ||||
\(221\) | 0.312235 | − | 2.97072i | 0.0210032 | − | 0.199832i | ||||
\(222\) | −2.11236 | − | 11.3973i | −0.141772 | − | 0.764934i | ||||
\(223\) | 8.39421 | + | 11.5536i | 0.562118 | + | 0.773689i | 0.991594 | − | 0.129389i | \(-0.0413017\pi\) |
−0.429476 | + | 0.903078i | \(0.641302\pi\) | |||||||
\(224\) | −11.0058 | + | 5.89899i | −0.735355 | + | 0.394143i | ||||
\(225\) | −9.81148 | + | 1.55399i | −0.654099 | + | 0.103599i | ||||
\(226\) | 3.43662 | + | 1.31919i | 0.228600 | + | 0.0877514i | ||||
\(227\) | −7.48225 | − | 25.2596i | −0.496614 | − | 1.67654i | −0.713751 | − | 0.700400i | \(-0.753005\pi\) |
0.217136 | − | 0.976141i | \(-0.430328\pi\) | |||||||
\(228\) | −11.7352 | + | 26.3577i | −0.777183 | + | 1.74558i | ||||
\(229\) | −18.2100 | + | 3.37503i | −1.20335 | + | 0.223028i | −0.745810 | − | 0.666159i | \(-0.767937\pi\) |
−0.457544 | + | 0.889187i | \(0.651271\pi\) | |||||||
\(230\) | 4.03332 | + | 2.93038i | 0.265949 | + | 0.193223i | ||||
\(231\) | 11.8827 | + | 2.92067i | 0.781822 | + | 0.192166i | ||||
\(232\) | −2.58812 | − | 6.24829i | −0.169919 | − | 0.410220i | ||||
\(233\) | −0.189602 | − | 0.0561626i | −0.0124212 | − | 0.00367933i | 0.277799 | − | 0.960639i | \(-0.410395\pi\) |
−0.290220 | + | 0.956960i | \(0.593728\pi\) | |||||||
\(234\) | 2.35319 | − | 12.6967i | 0.153833 | − | 0.830007i | ||||
\(235\) | 20.9520 | − | 9.99358i | 1.36676 | − | 0.651909i | ||||
\(236\) | 7.54119 | + | 1.60293i | 0.490890 | + | 0.104342i | ||||
\(237\) | −11.8011 | − | 11.8011i | −0.766562 | − | 0.766562i | ||||
\(238\) | −0.811465 | − | 0.222131i | −0.0525995 | − | 0.0143986i | ||||
\(239\) | 8.39979 | − | 5.14740i | 0.543337 | − | 0.332958i | −0.223598 | − | 0.974681i | \(-0.571780\pi\) |
0.766936 | + | 0.641724i | \(0.221780\pi\) | |||||||
\(240\) | −14.3578 | + | 7.79562i | −0.926789 | + | 0.503205i | ||||
\(241\) | −1.20795 | − | 0.784451i | −0.0778108 | − | 0.0505309i | 0.505147 | − | 0.863033i | \(-0.331438\pi\) |
−0.582958 | + | 0.812502i | \(0.698105\pi\) | |||||||
\(242\) | −3.90325 | + | 0.829662i | −0.250911 | + | 0.0533327i | ||||
\(243\) | 10.9374 | − | 8.39256i | 0.701634 | − | 0.538383i | ||||
\(244\) | −1.09877 | + | 6.93739i | −0.0703419 | + | 0.444121i | ||||
\(245\) | 1.51142 | − | 13.0264i | 0.0965611 | − | 0.832227i | ||||
\(246\) | 8.50894 | + | 3.05373i | 0.542510 | + | 0.194699i | ||||
\(247\) | 11.0356 | − | 19.1141i | 0.702176 | − | 1.21620i | ||||
\(248\) | 4.79189 | + | 12.4833i | 0.304285 | + | 0.792691i | ||||
\(249\) | 3.47390 | + | 26.3869i | 0.220149 | + | 1.67220i | ||||
\(250\) | 3.69483 | + | 4.10353i | 0.233682 | + | 0.259530i | ||||
\(251\) | −13.6907 | − | 26.8696i | −0.864151 | − | 1.69599i | −0.705564 | − | 0.708647i | \(-0.749306\pi\) |
−0.158587 | − | 0.987345i | \(-0.550694\pi\) | |||||||
\(252\) | 29.7607 | + | 10.7199i | 1.87475 | + | 0.675289i | ||||
\(253\) | 4.55481 | + | 7.43278i | 0.286359 | + | 0.467295i | ||||
\(254\) | 1.56834 | + | 2.41503i | 0.0984063 | + | 0.151532i | ||||
\(255\) | −3.93922 | − | 1.05551i | −0.246683 | − | 0.0660986i | ||||
\(256\) | 1.29278 | − | 1.43578i | 0.0807987 | − | 0.0897360i | ||||
\(257\) | 9.30794 | + | 6.39717i | 0.580613 | + | 0.399044i | 0.820408 | − | 0.571779i | \(-0.193747\pi\) |
−0.239794 | + | 0.970824i | \(0.577080\pi\) | |||||||
\(258\) | −1.68014 | + | 1.96719i | −0.104601 | + | 0.122472i | ||||
\(259\) | −21.6451 | − | 1.82107i | −1.34496 | − | 0.113156i | ||||
\(260\) | 13.2443 | − | 5.48599i | 0.821379 | − | 0.340226i | ||||
\(261\) | −11.2641 | + | 23.6156i | −0.697229 | + | 1.46177i | ||||
\(262\) | 6.11557 | + | 0.642772i | 0.377821 | + | 0.0397106i | ||||
\(263\) | 3.38438 | − | 9.55720i | 0.208690 | − | 0.589322i | −0.791059 | − | 0.611740i | \(-0.790470\pi\) |
0.999749 | + | 0.0224181i | \(0.00713652\pi\) | |||||||
\(264\) | 7.92449 | − | 0.832897i | 0.487718 | − | 0.0512613i | ||||
\(265\) | −3.06929 | + | 12.7845i | −0.188545 | + | 0.785347i | ||||
\(266\) | −4.80986 | − | 3.93810i | −0.294911 | − | 0.241461i | ||||
\(267\) | 2.69186 | + | 16.9957i | 0.164739 | + | 1.04012i | ||||
\(268\) | −8.91663 | − | 8.46156i | −0.544670 | − | 0.516872i | ||||
\(269\) | −13.8055 | − | 6.14659i | −0.841735 | − | 0.374764i | −0.0598651 | − | 0.998206i | \(-0.519067\pi\) |
−0.781870 | + | 0.623442i | \(0.785734\pi\) | |||||||
\(270\) | −9.13858 | − | 3.23614i | −0.556156 | − | 0.196945i | ||||
\(271\) | −7.25433 | + | 3.22984i | −0.440669 | + | 0.196199i | −0.615064 | − | 0.788477i | \(-0.710870\pi\) |
0.174395 | + | 0.984676i | \(0.444203\pi\) | |||||||
\(272\) | 1.95811 | − | 0.154106i | 0.118728 | − | 0.00934407i | ||||
\(273\) | −31.5892 | − | 15.2771i | −1.91187 | − | 0.924610i | ||||
\(274\) | 1.01514 | + | 4.22838i | 0.0613271 | + | 0.255446i | ||||
\(275\) | 0.740090 | + | 2.08995i | 0.0446291 | + | 0.126029i | ||||
\(276\) | 14.0685 | + | 29.4952i | 0.846823 | + | 1.77540i | ||||
\(277\) | 0.929291 | + | 0.836737i | 0.0558357 | + | 0.0502747i | 0.696576 | − | 0.717483i | \(-0.254706\pi\) |
−0.640740 | + | 0.767758i | \(0.721373\pi\) | |||||||
\(278\) | −8.40845 | + | 2.25304i | −0.504305 | + | 0.135128i | ||||
\(279\) | 23.4850 | − | 46.0919i | 1.40601 | − | 2.75945i | ||||
\(280\) | −1.94868 | − | 8.31421i | −0.116456 | − | 0.496869i | ||||
\(281\) | 13.7286 | + | 8.41292i | 0.818982 | + | 0.501873i | 0.867787 | − | 0.496936i | \(-0.165542\pi\) |
−0.0488058 | + | 0.998808i | \(0.515542\pi\) | |||||||
\(282\) | −17.4704 | − | 0.915583i | −1.04035 | − | 0.0545222i | ||||
\(283\) | −2.36923 | − | 11.1464i | −0.140836 | − | 0.662583i | −0.990754 | − | 0.135668i | \(-0.956682\pi\) |
0.849918 | − | 0.526915i | \(-0.176651\pi\) | |||||||
\(284\) | 3.11954 | − | 0.410696i | 0.185111 | − | 0.0243703i | ||||
\(285\) | −23.4178 | − | 18.9633i | −1.38715 | − | 1.12329i | ||||
\(286\) | −2.88203 | −0.170418 | ||||||||
\(287\) | 9.72946 | − | 13.8686i | 0.574312 | − | 0.818637i | ||||
\(288\) | 31.4579 | 1.85367 | ||||||||
\(289\) | −12.8305 | − | 10.3899i | −0.754732 | − | 0.611170i | ||||
\(290\) | 3.31112 | − | 0.435917i | 0.194435 | − | 0.0255979i | ||||
\(291\) | −9.52886 | − | 44.8298i | −0.558592 | − | 2.62797i | ||||
\(292\) | 15.7788 | + | 0.826932i | 0.923384 | + | 0.0483925i | ||||
\(293\) | 21.3559 | + | 13.0869i | 1.24763 | + | 0.764547i | 0.980004 | − | 0.198977i | \(-0.0637619\pi\) |
0.267623 | + | 0.963524i | \(0.413762\pi\) | |||||||
\(294\) | −5.68537 | + | 8.08398i | −0.331577 | + | 0.471467i | ||||
\(295\) | −3.65551 | + | 7.17434i | −0.212832 | + | 0.417706i | ||||
\(296\) | −13.6628 | + | 3.66094i | −0.794135 | + | 0.212788i | ||||
\(297\) | −12.5975 | − | 11.3429i | −0.730984 | − | 0.658181i | ||||
\(298\) | 0.170284 | + | 0.357008i | 0.00986429 | + | 0.0206809i | ||||
\(299\) | −8.34460 | − | 23.5644i | −0.482580 | − | 1.36277i | ||||
\(300\) | 1.94023 | + | 8.08163i | 0.112019 | + | 0.466593i | ||||
\(301\) | 2.72431 | + | 4.01008i | 0.157027 | + | 0.231137i | ||||
\(302\) | −9.25556 | + | 0.728428i | −0.532597 | + | 0.0419163i | ||||
\(303\) | 27.2701 | − | 12.1414i | 1.56663 | − | 0.697507i | ||||
\(304\) | 13.6805 | + | 4.84451i | 0.784628 | + | 0.277851i | ||||
\(305\) | −6.70150 | − | 2.98370i | −0.383727 | − | 0.170846i | ||||
\(306\) | 1.53742 | + | 1.45896i | 0.0878887 | + | 0.0834033i | ||||
\(307\) | 0.558819 | + | 3.52824i | 0.0318935 | + | 0.201367i | 0.998490 | − | 0.0549359i | \(-0.0174954\pi\) |
−0.966596 | + | 0.256303i | \(0.917495\pi\) | |||||||
\(308\) | 1.14205 | − | 6.96709i | 0.0650741 | − | 0.396987i | ||||
\(309\) | −2.26096 | + | 9.41756i | −0.128621 | + | 0.535746i | ||||
\(310\) | −6.56678 | + | 0.690197i | −0.372968 | + | 0.0392005i | ||||
\(311\) | −9.68540 | + | 27.3507i | −0.549209 | + | 1.55092i | 0.261340 | + | 0.965247i | \(0.415836\pi\) |
−0.810549 | + | 0.585671i | \(0.800831\pi\) | |||||||
\(312\) | −22.7246 | − | 2.38845i | −1.28653 | − | 0.135219i | ||||
\(313\) | −4.35071 | + | 9.12145i | −0.245917 | + | 0.515575i | −0.987947 | − | 0.154791i | \(-0.950530\pi\) |
0.742031 | + | 0.670366i | \(0.233863\pi\) | |||||||
\(314\) | 2.84625 | − | 1.17895i | 0.160623 | − | 0.0665323i | ||||
\(315\) | −18.8589 | + | 27.1252i | −1.06258 | + | 1.52833i | ||||
\(316\) | −6.25371 | + | 7.32216i | −0.351799 | + | 0.411904i | ||||
\(317\) | −9.58495 | − | 6.58756i | −0.538345 | − | 0.369994i | 0.266171 | − | 0.963926i | \(-0.414242\pi\) |
−0.804515 | + | 0.593932i | \(0.797575\pi\) | |||||||
\(318\) | 6.63018 | − | 7.36356i | 0.371802 | − | 0.412928i | ||||
\(319\) | 5.64066 | + | 1.51141i | 0.315816 | + | 0.0846228i | ||||
\(320\) | 3.53734 | + | 5.44702i | 0.197743 | + | 0.304498i | ||||
\(321\) | 9.09272 | + | 14.8380i | 0.507506 | + | 0.828175i | ||||
\(322\) | −6.92975 | + | 1.24572i | −0.386180 | + | 0.0694211i | ||||
\(323\) | 1.64467 | + | 3.22785i | 0.0915120 | + | 0.179602i | ||||
\(324\) | −18.5205 | − | 20.5691i | −1.02891 | − | 1.14273i | ||||
\(325\) | −0.829874 | − | 6.30352i | −0.0460331 | − | 0.349656i | ||||
\(326\) | −0.743747 | − | 1.93753i | −0.0411924 | − | 0.107310i | ||||
\(327\) | 27.7278 | − | 48.0259i | 1.53335 | − | 2.65584i | ||||
\(328\) | 2.90028 | − | 10.6437i | 0.160141 | − | 0.587701i | ||||
\(329\) | −10.2987 | + | 31.1238i | −0.567787 | + | 1.71591i | ||||
\(330\) | −0.615531 | + | 3.88631i | −0.0338838 | + | 0.213934i | ||||
\(331\) | 10.5229 | − | 8.07448i | 0.578389 | − | 0.443813i | −0.277681 | − | 0.960673i | \(-0.589566\pi\) |
0.856070 | + | 0.516860i | \(0.172899\pi\) | |||||||
\(332\) | 15.0204 | − | 3.19268i | 0.824350 | − | 0.175221i | ||||
\(333\) | 45.8938 | + | 29.8038i | 2.51496 | + | 1.63324i | ||||
\(334\) | −4.46694 | + | 2.42535i | −0.244420 | + | 0.132709i | ||||
\(335\) | 10.9464 | − | 6.70794i | 0.598064 | − | 0.366494i | ||||
\(336\) | 6.09193 | − | 22.2544i | 0.332342 | − | 1.21408i | ||||
\(337\) | 2.09983 | + | 2.09983i | 0.114385 | + | 0.114385i | 0.761983 | − | 0.647597i | \(-0.224226\pi\) |
−0.647597 | + | 0.761983i | \(0.724226\pi\) | |||||||
\(338\) | 2.30930 | + | 0.490856i | 0.125609 | + | 0.0266990i | ||||
\(339\) | −22.7453 | + | 10.8489i | −1.23535 | + | 0.589234i | ||||
\(340\) | −0.428802 | + | 2.31361i | −0.0232550 | + | 0.125473i | ||||
\(341\) | −11.0702 | − | 3.27914i | −0.599485 | − | 0.177576i | ||||
\(342\) | 5.99305 | + | 14.4685i | 0.324067 | + | 0.782368i | ||||
\(343\) | 11.7984 | + | 14.2758i | 0.637055 | + | 0.770818i | ||||
\(344\) | 2.55400 | + | 1.85559i | 0.137702 | + | 0.100047i | ||||
\(345\) | −33.5579 | + | 6.21959i | −1.80670 | + | 0.334851i | ||||
\(346\) | 1.02523 | − | 2.30271i | 0.0551169 | − | 0.123795i | ||||
\(347\) | −0.558098 | − | 1.88411i | −0.0299603 | − | 0.101144i | 0.942505 | − | 0.334192i | \(-0.108463\pi\) |
−0.972465 | + | 0.233048i | \(0.925130\pi\) | |||||||
\(348\) | 20.4369 | + | 7.84501i | 1.09553 | + | 0.420536i | ||||
\(349\) | −0.310146 | + | 0.0491223i | −0.0166017 | + | 0.00262946i | −0.164730 | − | 0.986339i | \(-0.552675\pi\) |
0.148128 | + | 0.988968i | \(0.452675\pi\) | |||||||
\(350\) | −1.78983 | − | 0.0565335i | −0.0956703 | − | 0.00302184i | ||||
\(351\) | 28.5730 | + | 39.3274i | 1.52511 | + | 2.09914i | ||||
\(352\) | −1.27949 | − | 6.90352i | −0.0681971 | − | 0.367959i | ||||
\(353\) | −0.00632028 | + | 0.0601335i | −0.000336395 | + | 0.00320058i | −0.994689 | − | 0.102928i | \(-0.967179\pi\) |
0.994352 | + | 0.106129i | \(0.0338455\pi\) | |||||||
\(354\) | 5.00099 | − | 3.43709i | 0.265800 | − | 0.182679i | ||||
\(355\) | −0.428929 | + | 3.25804i | −0.0227652 | + | 0.172919i | ||||
\(356\) | 9.65402 | − | 2.31772i | 0.511662 | − | 0.122839i | ||||
\(357\) | 4.92694 | − | 2.98279i | 0.260762 | − | 0.157866i | ||||
\(358\) | 0.782373 | − | 9.94099i | 0.0413497 | − | 0.525398i | ||||
\(359\) | −4.39483 | + | 20.6761i | −0.231950 | + | 1.09124i | 0.695857 | + | 0.718181i | \(0.255025\pi\) |
−0.927807 | + | 0.373060i | \(0.878308\pi\) | |||||||
\(360\) | −5.56802 | + | 20.7801i | −0.293460 | + | 1.09521i | ||||
\(361\) | 0.406524 | + | 7.75695i | 0.0213960 | + | 0.408260i | ||||
\(362\) | 7.14040 | − | 0.186978i | 0.375291 | − | 0.00982734i | ||||
\(363\) | 14.2735 | − | 23.2923i | 0.749166 | − | 1.22253i | ||||
\(364\) | −7.35730 | + | 18.8616i | −0.385627 | + | 0.988617i | ||||
\(365\) | −5.09938 | + | 15.6943i | −0.266914 | + | 0.821476i | ||||
\(366\) | 3.36550 | + | 4.38601i | 0.175918 | + | 0.229260i | ||||
\(367\) | 15.9221 | − | 6.11191i | 0.831125 | − | 0.319039i | 0.0946557 | − | 0.995510i | \(-0.469825\pi\) |
0.736469 | + | 0.676471i | \(0.236492\pi\) | |||||||
\(368\) | 14.2354 | − | 8.21883i | 0.742073 | − | 0.428436i | ||||
\(369\) | −38.1087 | + | 19.2148i | −1.98386 | + | 1.00028i | ||||
\(370\) | − | 6.98485i | − | 0.363125i | ||||||
\(371\) | −10.0288 | − | 15.6270i | −0.520671 | − | 0.811314i | ||||
\(372\) | −39.9864 | − | 16.5629i | −2.07320 | − | 0.858746i | ||||
\(373\) | −14.6010 | + | 13.1468i | −0.756013 | + | 0.680717i | −0.954107 | − | 0.299466i | \(-0.903191\pi\) |
0.198094 | + | 0.980183i | \(0.436525\pi\) | |||||||
\(374\) | 0.257641 | − | 0.396733i | 0.0133223 | − | 0.0205146i | ||||
\(375\) | −37.7884 | − | 0.989525i | −1.95139 | − | 0.0510989i | ||||
\(376\) | 0.558829 | + | 21.3408i | 0.0288194 | + | 1.10057i | ||||
\(377\) | −14.9208 | − | 7.60252i | −0.768460 | − | 0.391550i | ||||
\(378\) | 12.2326 | − | 6.14989i | 0.629175 | − | 0.316316i | ||||
\(379\) | −4.00390 | − | 12.3227i | −0.205667 | − | 0.632977i | −0.999685 | − | 0.0250833i | \(-0.992015\pi\) |
0.794019 | − | 0.607893i | \(-0.207985\pi\) | |||||||
\(380\) | −9.84755 | + | 14.3283i | −0.505169 | + | 0.735025i | ||||
\(381\) | −19.3830 | − | 3.59243i | −0.993021 | − | 0.184046i | ||||
\(382\) | 0.850872 | + | 0.896632i | 0.0435344 | + | 0.0458757i | ||||
\(383\) | 7.75491 | + | 1.02095i | 0.396258 | + | 0.0521683i | 0.326022 | − | 0.945362i | \(-0.394292\pi\) |
0.0702355 | + | 0.997530i | \(0.477625\pi\) | |||||||
\(384\) | −2.68649 | − | 34.1351i | −0.137094 | − | 1.74195i | ||||
\(385\) | 6.71976 | + | 3.03538i | 0.342471 | + | 0.154697i | ||||
\(386\) | −4.88004 | − | 5.71379i | −0.248388 | − | 0.290824i | ||||
\(387\) | −1.27662 | − | 12.1463i | −0.0648945 | − | 0.617430i | ||||
\(388\) | −25.3546 | + | 7.51037i | −1.28718 | + | 0.381281i | ||||
\(389\) | −14.6329 | − | 18.0701i | −0.741915 | − | 0.916189i | 0.256821 | − | 0.966459i | \(-0.417325\pi\) |
−0.998736 | + | 0.0502703i | \(0.983992\pi\) | |||||||
\(390\) | 4.04363 | − | 10.5340i | 0.204757 | − | 0.533410i | ||||
\(391\) | 3.98979 | + | 0.957863i | 0.201772 | + | 0.0484412i | ||||
\(392\) | 10.3787 | + | 6.14242i | 0.524204 | + | 0.310239i | ||||
\(393\) | −32.0105 | + | 27.3395i | −1.61471 | + | 1.37910i | ||||
\(394\) | 3.89314 | + | 8.74413i | 0.196133 | + | 0.440523i | ||||
\(395\) | −5.69623 | − | 8.28806i | −0.286608 | − | 0.417018i | ||||
\(396\) | −10.8275 | + | 14.1106i | −0.544101 | + | 0.709086i | ||||
\(397\) | −3.97339 | + | 13.4139i | −0.199419 | + | 0.673226i | 0.798081 | + | 0.602550i | \(0.205849\pi\) |
−0.997499 | + | 0.0706754i | \(0.977485\pi\) | |||||||
\(398\) | −5.09818 | − | 4.35426i | −0.255549 | − | 0.218259i | ||||
\(399\) | 42.2213 | − | 5.32695i | 2.11371 | − | 0.266681i | ||||
\(400\) | 3.97604 | − | 1.29189i | 0.198802 | − | 0.0645947i | ||||
\(401\) | −5.27524 | − | 19.6875i | −0.263433 | − | 0.983145i | −0.963203 | − | 0.268776i | \(-0.913381\pi\) |
0.699770 | − | 0.714368i | \(-0.253286\pi\) | |||||||
\(402\) | −9.66206 | + | 0.506367i | −0.481900 | + | 0.0252553i | ||||
\(403\) | 29.0966 | + | 15.7982i | 1.44940 | + | 0.786962i | ||||
\(404\) | −8.21820 | − | 15.1360i | −0.408871 | − | 0.753046i | ||||
\(405\) | 25.7565 | − | 13.1236i | 1.27985 | − | 0.652117i | ||||
\(406\) | −2.79287 | + | 3.80075i | −0.138608 | + | 0.188628i | ||||
\(407\) | 4.67388 | − | 11.2837i | 0.231675 | − | 0.559314i | ||||
\(408\) | 2.36027 | − | 2.91469i | 0.116851 | − | 0.144299i | ||||
\(409\) | 13.0974 | + | 22.6853i | 0.647624 | + | 1.12172i | 0.983689 | + | 0.179879i | \(0.0575705\pi\) |
−0.336065 | + | 0.941839i | \(0.609096\pi\) | |||||||
\(410\) | 4.70621 | + | 2.74374i | 0.232423 | + | 0.135503i | ||||
\(411\) | −25.7808 | − | 14.8846i | −1.27168 | − | 0.734202i | ||||
\(412\) | 5.51930 | + | 0.874171i | 0.271916 | + | 0.0430673i | ||||
\(413\) | −3.73801 | − | 10.7396i | −0.183935 | − | 0.528462i | ||||
\(414\) | 16.8694 | + | 5.48121i | 0.829088 | + | 0.269387i | ||||
\(415\) | −0.839349 | + | 16.0157i | −0.0412020 | + | 0.786181i | ||||
\(416\) | −0.527046 | + | 20.1271i | −0.0258405 | + | 0.986810i | ||||
\(417\) | 28.4354 | − | 52.3714i | 1.39249 | − | 2.56464i | ||||
\(418\) | 2.93140 | − | 1.90367i | 0.143379 | − | 0.0931117i | ||||
\(419\) | −15.7417 | + | 15.7417i | −0.769031 | + | 0.769031i | −0.977936 | − | 0.208905i | \(-0.933010\pi\) |
0.208905 | + | 0.977936i | \(0.433010\pi\) | |||||||
\(420\) | 23.8628 | + | 13.9494i | 1.16439 | + | 0.680661i | ||||
\(421\) | 36.0585 | + | 2.83787i | 1.75739 | + | 0.138309i | 0.915753 | − | 0.401741i | \(-0.131595\pi\) |
0.841633 | + | 0.540050i | \(0.181595\pi\) | |||||||
\(422\) | 3.60438 | − | 1.27638i | 0.175458 | − | 0.0621331i | ||||
\(423\) | 59.9085 | − | 56.8510i | 2.91285 | − | 2.76419i | ||||
\(424\) | −9.59276 | − | 7.36078i | −0.465865 | − | 0.357471i | ||||
\(425\) | 0.941913 | + | 0.449269i | 0.0456895 | + | 0.0217928i | ||||
\(426\) | 1.45569 | − | 2.00358i | 0.0705282 | − | 0.0970738i | ||||
\(427\) | 9.59266 | − | 3.91291i | 0.464221 | − | 0.189359i | ||||
\(428\) | 8.12313 | − | 5.90180i | 0.392646 | − | 0.285274i | ||||
\(429\) | 13.5811 | − | 14.3115i | 0.655701 | − | 0.690965i | ||||
\(430\) | −1.21151 | + | 0.981059i | −0.0584240 | + | 0.0473109i | ||||
\(431\) | −29.6067 | + | 23.9750i | −1.42610 | + | 1.15484i | −0.462787 | + | 0.886469i | \(0.653151\pi\) |
−0.963317 | + | 0.268367i | \(0.913516\pi\) | |||||||
\(432\) | −22.0029 | + | 23.1862i | −1.05861 | + | 1.11555i | ||||
\(433\) | 2.58123 | − | 1.87538i | 0.124046 | − | 0.0901248i | −0.524032 | − | 0.851698i | \(-0.675573\pi\) |
0.648078 | + | 0.761574i | \(0.275573\pi\) | |||||||
\(434\) | 5.71664 | − | 7.36742i | 0.274407 | − | 0.353647i | ||||
\(435\) | −13.4384 | + | 18.4964i | −0.644323 | + | 0.886835i | ||||
\(436\) | −28.8795 | − | 13.7748i | −1.38308 | − | 0.659695i | ||||
\(437\) | 24.0526 | + | 18.4562i | 1.15059 | + | 0.882880i | ||||
\(438\) | 9.02108 | − | 8.56068i | 0.431044 | − | 0.409045i | ||||
\(439\) | −7.58381 | + | 2.68557i | −0.361955 | + | 0.128175i | −0.508575 | − | 0.861018i | \(-0.669827\pi\) |
0.146619 | + | 0.989193i | \(0.453161\pi\) | |||||||
\(440\) | 4.78673 | + | 0.376724i | 0.228198 | + | 0.0179596i | ||||
\(441\) | −9.20752 | − | 45.7396i | −0.438453 | − | 2.17807i | ||||
\(442\) | −0.959216 | + | 0.959216i | −0.0456253 | + | 0.0456253i | ||||
\(443\) | −11.6765 | + | 7.58283i | −0.554769 | + | 0.360271i | −0.791372 | − | 0.611335i | \(-0.790633\pi\) |
0.236603 | + | 0.971606i | \(0.423966\pi\) | |||||||
\(444\) | 21.8463 | − | 40.2359i | 1.03678 | − | 1.90951i | ||||
\(445\) | −0.271432 | + | 10.3656i | −0.0128671 | + | 0.491375i | ||||
\(446\) | 0.339426 | − | 6.47664i | 0.0160723 | − | 0.306678i | ||||
\(447\) | −2.57525 | − | 0.836750i | −0.121805 | − | 0.0395769i | ||||
\(448\) | −9.00972 | − | 1.72019i | −0.425669 | − | 0.0812711i | ||||
\(449\) | 30.1384 | + | 4.77346i | 1.42232 | + | 0.225273i | 0.819718 | − | 0.572768i | \(-0.194130\pi\) |
0.602603 | + | 0.798041i | \(0.294130\pi\) | |||||||
\(450\) | 3.90687 | + | 2.25563i | 0.184172 | + | 0.106332i | ||||
\(451\) | 5.76673 | + | 7.58153i | 0.271545 | + | 0.357000i | ||||
\(452\) | 7.26993 | + | 12.5919i | 0.341949 | + | 0.592273i | ||||
\(453\) | 39.9981 | − | 49.3935i | 1.87927 | − | 2.32071i | ||||
\(454\) | −4.57840 | + | 11.0532i | −0.214875 | + | 0.518754i | ||||
\(455\) | −17.0390 | − | 12.5206i | −0.798802 | − | 0.586975i | ||||
\(456\) | 24.6915 | − | 12.5809i | 1.15629 | − | 0.589157i | ||||
\(457\) | −11.8733 | − | 21.8679i | −0.555409 | − | 1.02294i | −0.992351 | − | 0.123447i | \(-0.960605\pi\) |
0.436942 | − | 0.899490i | \(-0.356061\pi\) | |||||||
\(458\) | 7.39141 | + | 4.01321i | 0.345378 | + | 0.187525i | ||||
\(459\) | −7.96801 | + | 0.417586i | −0.371915 | + | 0.0194912i | ||||
\(460\) | 5.09662 | + | 19.0208i | 0.237631 | + | 0.886851i | ||||
\(461\) | −11.6098 | + | 3.77225i | −0.540722 | + | 0.175691i | −0.566629 | − | 0.823973i | \(-0.691753\pi\) |
0.0259070 | + | 0.999664i | \(0.491753\pi\) | |||||||
\(462\) | −3.35901 | − | 4.42680i | −0.156275 | − | 0.205954i | ||||
\(463\) | −18.8849 | − | 16.1293i | −0.877657 | − | 0.749590i | 0.0915595 | − | 0.995800i | \(-0.470815\pi\) |
−0.969217 | + | 0.246210i | \(0.920815\pi\) | |||||||
\(464\) | 3.12740 | − | 10.5579i | 0.145186 | − | 0.490139i | ||||
\(465\) | 27.5175 | − | 35.8615i | 1.27609 | − | 1.66304i | ||||
\(466\) | 0.0508648 | + | 0.0740087i | 0.00235626 | + | 0.00342839i | ||||
\(467\) | −1.82376 | − | 4.09623i | −0.0843935 | − | 0.189551i | 0.866419 | − | 0.499317i | \(-0.166416\pi\) |
−0.950813 | + | 0.309766i | \(0.899749\pi\) | |||||||
\(468\) | 38.7838 | − | 33.1245i | 1.79278 | − | 1.53118i | ||||
\(469\) | −3.86529 | + | 17.7142i | −0.178482 | + | 0.817967i | ||||
\(470\) | −10.2507 | − | 2.46097i | −0.472828 | − | 0.113516i | ||||
\(471\) | −7.55806 | + | 19.6894i | −0.348257 | + | 0.907241i | ||||
\(472\) | −4.66011 | − | 5.75476i | −0.214499 | − | 0.264884i | ||||
\(473\) | −2.61361 | + | 0.774186i | −0.120174 | + | 0.0355971i | ||||
\(474\) | 0.792237 | + | 7.53763i | 0.0363886 | + | 0.346215i | ||||
\(475\) | 5.00776 | + | 5.86334i | 0.229772 | + | 0.269028i | ||||
\(476\) | −1.93873 | − | 2.69893i | −0.0888614 | − | 0.123705i | ||||
\(477\) | 3.67017 | + | 46.6339i | 0.168045 | + | 2.13522i | ||||
\(478\) | −4.43563 | − | 0.583962i | −0.202881 | − | 0.0267098i | ||||
\(479\) | −1.68102 | − | 1.77143i | −0.0768079 | − | 0.0809387i | 0.685841 | − | 0.727752i | \(-0.259435\pi\) |
−0.762649 | + | 0.646813i | \(0.776101\pi\) | |||||||
\(480\) | 27.0280 | + | 5.00934i | 1.23365 | + | 0.228644i | ||||
\(481\) | −19.8377 | + | 28.8640i | −0.904519 | + | 1.31608i | ||||
\(482\) | 0.202127 | + | 0.622082i | 0.00920661 | + | 0.0283350i | ||||
\(483\) | 26.4693 | − | 40.2817i | 1.20440 | − | 1.83288i | ||||
\(484\) | −14.0438 | − | 7.15567i | −0.638354 | − | 0.325258i | ||||
\(485\) | −0.722943 | − | 27.6081i | −0.0328271 | − | 1.25362i | ||||
\(486\) | −6.25867 | − | 0.163889i | −0.283899 | − | 0.00743416i | ||||
\(487\) | −5.80368 | + | 8.93688i | −0.262990 | + | 0.404969i | −0.945355 | − | 0.326043i | \(-0.894285\pi\) |
0.682365 | + | 0.731011i | \(0.260951\pi\) | |||||||
\(488\) | 5.01348 | − | 4.51415i | 0.226949 | − | 0.204346i | ||||
\(489\) | 13.1261 | + | 5.43701i | 0.593582 | + | 0.245870i | ||||
\(490\) | −4.25632 | + | 4.16543i | −0.192281 | + | 0.188175i | ||||
\(491\) | 30.6222i | 1.38196i | 0.722874 | + | 0.690980i | \(0.242821\pi\) | ||||
−0.722874 | + | 0.690980i | \(0.757179\pi\) | |||||||
\(492\) | 18.5284 | + | 30.5246i | 0.835325 | + | 1.37616i | ||||
\(493\) | 2.38040 | − | 1.37432i | 0.107208 | − | 0.0618965i | ||||
\(494\) | −9.35750 | + | 3.59201i | −0.421014 | + | 0.161612i | ||||
\(495\) | −11.3082 | − | 14.7371i | −0.508265 | − | 0.662383i | ||||
\(496\) | −6.72753 | + | 20.7052i | −0.302075 | + | 0.929692i | ||||
\(497\) | −2.90114 | − | 3.62240i | −0.130134 | − | 0.162487i | ||||
\(498\) | 6.31522 | − | 10.3055i | 0.282992 | − | 0.461801i | ||||
\(499\) | −13.2669 | + | 0.347405i | −0.593906 | + | 0.0155520i | −0.321949 | − | 0.946757i | \(-0.604338\pi\) |
−0.271958 | + | 0.962309i | \(0.587671\pi\) | |||||||
\(500\) | 1.14147 | + | 21.7806i | 0.0510482 | + | 0.974057i | ||||
\(501\) | 9.00600 | − | 33.6108i | 0.402358 | − | 1.50162i | ||||
\(502\) | −2.84736 | + | 13.3958i | −0.127084 | + | 0.597883i | ||||
\(503\) | −1.05306 | + | 13.3804i | −0.0469535 | + | 0.596601i | 0.927765 | + | 0.373165i | \(0.121727\pi\) |
−0.974719 | + | 0.223436i | \(0.928273\pi\) | |||||||
\(504\) | −15.7348 | − | 25.9906i | −0.700883 | − | 1.15771i | ||||
\(505\) | 17.4909 | − | 4.19918i | 0.778333 | − | 0.186861i | ||||
\(506\) | 0.516734 | − | 3.92498i | 0.0229716 | − | 0.174487i | ||||
\(507\) | −13.3196 | + | 9.15434i | −0.591546 | + | 0.406558i | ||||
\(508\) | −1.18890 | + | 11.3117i | −0.0527491 | + | 0.501874i | ||||
\(509\) | 7.56798 | + | 40.8332i | 0.335445 | + | 1.80990i | 0.552243 | + | 0.833683i | \(0.313772\pi\) |
−0.216798 | + | 0.976216i | \(0.569561\pi\) | |||||||
\(510\) | 1.08860 | + | 1.49833i | 0.0482041 | + | 0.0663472i | ||||
\(511\) | −11.0096 | − | 20.5407i | −0.487037 | − | 0.908669i | ||||
\(512\) | −22.6228 | + | 3.58310i | −0.999797 | + | 0.158352i | ||||
\(513\) | −55.0394 | − | 21.1277i | −2.43005 | − | 0.932809i | ||||
\(514\) | −1.45675 | − | 4.91791i | −0.0642546 | − | 0.216920i | ||||
\(515\) | −2.37379 | + | 5.33163i | −0.104602 | + | 0.234940i | ||||
\(516\) | −10.0473 | + | 1.86215i | −0.442306 | + | 0.0819765i | ||||
\(517\) | −14.9128 | − | 10.8348i | −0.655863 | − | 0.476513i | ||||
\(518\) | 7.11872 | + | 6.82879i | 0.312779 | + | 0.300040i | ||||
\(519\) | 6.60348 | + | 15.9422i | 0.289861 | + | 0.699785i | ||||
\(520\) | −13.2020 | − | 3.91062i | −0.578948 | − | 0.171492i | ||||
\(521\) | −0.226002 | + | 1.21940i | −0.00990134 | + | 0.0534229i | −0.987843 | − | 0.155457i | \(-0.950315\pi\) |
0.977941 | + | 0.208880i | \(0.0669817\pi\) | |||||||
\(522\) | 10.7247 | − | 5.11540i | 0.469406 | − | 0.223895i | ||||
\(523\) | 8.66377 | + | 1.84154i | 0.378840 | + | 0.0805250i | 0.393396 | − | 0.919369i | \(-0.371300\pi\) |
−0.0145559 | + | 0.999894i | \(0.504633\pi\) | |||||||
\(524\) | 17.1747 | + | 17.1747i | 0.750279 | + | 0.750279i | ||||
\(525\) | 8.71499 | − | 8.62145i | 0.380353 | − | 0.376271i | ||||
\(526\) | −3.92585 | + | 2.40576i | −0.171175 | + | 0.104896i | ||||
\(527\) | −4.77584 | + | 2.59307i | −0.208039 | + | 0.112956i | ||||
\(528\) | 10.8804 | + | 7.06580i | 0.473507 | + | 0.307499i | ||||
\(529\) | 11.0907 | − | 2.35740i | 0.482204 | − | 0.102496i | ||||
\(530\) | 4.73700 | − | 3.63483i | 0.205762 | − | 0.157887i | ||||
\(531\) | −4.48150 | + | 28.2950i | −0.194480 | + | 1.22790i | ||||
\(532\) | −4.97536 | − | 24.0444i | −0.215709 | − | 1.04246i | ||||
\(533\) | −11.6553 | − | 24.7042i | −0.504848 | − | 1.07006i | ||||
\(534\) | 3.90727 | − | 6.76759i | 0.169084 | − | 0.292862i | ||||
\(535\) | 3.75803 | + | 9.79001i | 0.162474 | + | 0.423259i | ||||
\(536\) | 1.54108 | + | 11.7057i | 0.0665645 | + | 0.505608i | ||||
\(537\) | 45.6778 | + | 50.7303i | 1.97114 | + | 2.18918i | ||||
\(538\) | 3.11567 | + | 6.11485i | 0.134326 | + | 0.263630i | ||||
\(539\) | −9.66318 | + | 3.88099i | −0.416223 | + | 0.167166i | ||||
\(540\) | −20.0077 | − | 32.6497i | −0.860996 | − | 1.40502i | ||||
\(541\) | 16.3922 | + | 25.2418i | 0.704757 | + | 1.08523i | 0.991860 | + | 0.127331i | \(0.0406412\pi\) |
−0.287103 | + | 0.957900i | \(0.592692\pi\) | |||||||
\(542\) | 3.48333 | + | 0.933357i | 0.149622 | + | 0.0400911i | ||||
\(543\) | −32.7194 | + | 36.3386i | −1.40413 | + | 1.55944i | ||||
\(544\) | −2.72352 | − | 1.87183i | −0.116770 | − | 0.0802539i | ||||
\(545\) | 21.7026 | − | 25.4105i | 0.929638 | − | 1.08847i | ||||
\(546\) | 6.78262 | + | 14.4198i | 0.290269 | + | 0.617110i | ||||
\(547\) | 11.4940 | − | 4.76097i | 0.491448 | − | 0.203564i | −0.123176 | − | 0.992385i | \(-0.539308\pi\) |
0.614624 | + | 0.788820i | \(0.289308\pi\) | |||||||
\(548\) | −7.39449 | + | 15.5029i | −0.315877 | + | 0.662249i | ||||
\(549\) | −25.9565 | − | 2.72814i | −1.10780 | − | 0.116434i | ||||
\(550\) | 0.336100 | − | 0.949118i | 0.0143314 | − | 0.0404705i | ||||
\(551\) | 20.1981 | − | 2.12291i | 0.860468 | − | 0.0904388i | ||||
\(552\) | 7.32719 | − | 30.5199i | 0.311866 | − | 1.29902i | ||||
\(553\) | 14.0159 | + | 2.29748i | 0.596015 | + | 0.0976989i | ||||
\(554\) | −0.0888372 | − | 0.560896i | −0.00377433 | − | 0.0238302i | ||||
\(555\) | 34.6851 | + | 32.9149i | 1.47230 | + | 1.39716i | ||||
\(556\) | −31.4111 | − | 13.9851i | −1.33213 | − | 0.593101i | ||||
\(557\) | 28.7775 | + | 10.1906i | 1.21934 | + | 0.431791i | 0.864261 | − | 0.503044i | \(-0.167787\pi\) |
0.355081 | + | 0.934836i | \(0.384453\pi\) | |||||||
\(558\) | −21.4614 | + | 9.55523i | −0.908533 | + | 0.404505i | ||||
\(559\) | 7.79269 | − | 0.613298i | 0.329596 | − | 0.0259398i | ||||
\(560\) | 6.05330 | − | 12.5168i | 0.255799 | − | 0.528930i | ||||
\(561\) | 0.755989 | + | 3.14892i | 0.0319179 | + | 0.132948i | ||||
\(562\) | −2.44085 | − | 6.89274i | −0.102961 | − | 0.290753i | ||||
\(563\) | −14.7805 | − | 30.9879i | −0.622923 | − | 1.30599i | −0.934567 | − | 0.355786i | \(-0.884213\pi\) |
0.311644 | − | 0.950199i | \(-0.399120\pi\) | |||||||
\(564\) | −51.3514 | − | 46.2370i | −2.16228 | − | 1.94693i | ||||
\(565\) | −14.6680 | + | 3.93027i | −0.617086 | + | 0.165348i | ||||
\(566\) | −2.34941 | + | 4.61099i | −0.0987533 | + | 0.193814i | ||||
\(567\) | −11.8059 | + | 39.0806i | −0.495802 | + | 1.64123i | ||||
\(568\) | −2.57678 | − | 1.57905i | −0.108119 | − | 0.0662556i | ||||
\(569\) | 14.1793 | + | 0.743103i | 0.594425 | + | 0.0311525i | 0.347177 | − | 0.937800i | \(-0.387140\pi\) |
0.247248 | + | 0.968952i | \(0.420474\pi\) | |||||||
\(570\) | 2.84515 | + | 13.3854i | 0.119170 | + | 0.560653i | ||||
\(571\) | −4.55088 | + | 0.599134i | −0.190448 | + | 0.0250730i | −0.225147 | − | 0.974325i | \(-0.572286\pi\) |
0.0346986 | + | 0.999398i | \(0.488953\pi\) | |||||||
\(572\) | −8.84672 | − | 7.16393i | −0.369900 | − | 0.299539i | ||||
\(573\) | −8.46205 | −0.353507 | ||||||||
\(574\) | −7.39738 | + | 2.11398i | −0.308761 | + | 0.0882357i | ||||
\(575\) | 8.73343 | 0.364209 | ||||||||
\(576\) | 17.9581 | + | 14.5421i | 0.748252 | + | 0.605923i | ||||
\(577\) | −20.6635 | + | 2.72040i | −0.860232 | + | 0.113252i | −0.547720 | − | 0.836662i | \(-0.684504\pi\) |
−0.312512 | + | 0.949914i | \(0.601171\pi\) | |||||||
\(578\) | 1.55884 | + | 7.33378i | 0.0648393 | + | 0.305045i | ||||
\(579\) | 51.3697 | + | 2.69217i | 2.13485 | + | 0.111883i | ||||
\(580\) | 11.2474 | + | 6.89242i | 0.467023 | + | 0.286192i | ||||
\(581\) | −15.5021 | − | 16.5133i | −0.643135 | − | 0.685088i | ||||
\(582\) | −9.44915 | + | 18.5450i | −0.391680 | + | 0.768715i | ||||
\(583\) | 10.0847 | − | 2.70218i | 0.417664 | − | 0.111913i | ||||
\(584\) | −11.2780 | − | 10.1548i | −0.466687 | − | 0.420207i | ||||
\(585\) | 22.9327 | + | 48.0793i | 0.948149 | + | 1.98784i | ||||
\(586\) | −3.79692 | − | 10.7222i | −0.156850 | − | 0.442929i | ||||
\(587\) | 3.09736 | + | 12.9014i | 0.127842 | + | 0.532499i | 0.999129 | + | 0.0417257i | \(0.0132856\pi\) |
−0.871287 | + | 0.490773i | \(0.836714\pi\) | |||||||
\(588\) | −37.5464 | + | 10.6824i | −1.54839 | + | 0.440536i | ||||
\(589\) | −40.0302 | + | 3.15044i | −1.64941 | + | 0.129812i | ||||
\(590\) | 3.34053 | − | 1.48730i | 0.137527 | − | 0.0612311i | ||||
\(591\) | −61.7670 | − | 21.8728i | −2.54076 | − | 0.899729i | ||||
\(592\) | −21.0389 | − | 9.36711i | −0.864692 | − | 0.384986i | ||||
\(593\) | −2.05459 | − | 1.94973i | −0.0843717 | − | 0.0800658i | 0.645004 | − | 0.764180i | \(-0.276856\pi\) |
−0.729375 | + | 0.684114i | \(0.760189\pi\) | |||||||
\(594\) | 1.20428 | + | 7.60355i | 0.0494124 | + | 0.311977i | ||||
\(595\) | 3.24677 | − | 1.22626i | 0.133105 | − | 0.0502717i | ||||
\(596\) | −0.364717 | + | 1.51916i | −0.0149394 | + | 0.0622270i | ||||
\(597\) | 45.6465 | − | 4.79764i | 1.86819 | − | 0.196355i | ||||
\(598\) | −3.78956 | + | 10.7014i | −0.154967 | + | 0.437613i | ||||
\(599\) | −4.45269 | − | 0.467997i | −0.181932 | − | 0.0191218i | 0.0131242 | − | 0.999914i | \(-0.495822\pi\) |
−0.195056 | + | 0.980792i | \(0.562489\pi\) | |||||||
\(600\) | 3.43669 | − | 7.20518i | 0.140302 | − | 0.294150i | ||||
\(601\) | −16.7751 | + | 6.94848i | −0.684271 | + | 0.283434i | −0.697611 | − | 0.716477i | \(-0.745754\pi\) |
0.0133400 | + | 0.999911i | \(0.495754\pi\) | |||||||
\(602\) | 0.184577 | − | 2.19387i | 0.00752278 | − | 0.0894153i | ||||
\(603\) | 29.6646 | − | 34.7327i | 1.20803 | − | 1.41443i | ||||
\(604\) | −30.2216 | − | 20.7708i | −1.22970 | − | 0.845150i | ||||
\(605\) | 11.0149 | − | 12.2333i | 0.447819 | − | 0.497353i | ||||
\(606\) | −13.0944 | − | 3.50862i | −0.531922 | − | 0.142528i | ||||
\(607\) | −12.9431 | − | 19.9306i | −0.525344 | − | 0.808958i | 0.472015 | − | 0.881590i | \(-0.343527\pi\) |
−0.997359 | + | 0.0726322i | \(0.976860\pi\) | |||||||
\(608\) | −12.7585 | − | 20.8200i | −0.517425 | − | 0.844361i | ||||
\(609\) | −5.71273 | − | 31.7791i | −0.231492 | − | 1.28776i | ||||
\(610\) | 1.51242 | + | 2.96829i | 0.0612361 | + | 0.120183i | ||||
\(611\) | 35.3701 | + | 39.2825i | 1.43092 | + | 1.58920i | ||||
\(612\) | 1.09272 | + | 8.30006i | 0.0441707 | + | 0.335510i | ||||
\(613\) | −0.289886 | − | 0.755178i | −0.0117084 | − | 0.0305014i | 0.927602 | − | 0.373571i | \(-0.121867\pi\) |
−0.939310 | + | 0.343069i | \(0.888533\pi\) | |||||||
\(614\) | 0.811133 | − | 1.40492i | 0.0327347 | − | 0.0566981i | ||||
\(615\) | −35.8020 | + | 10.4405i | −1.44368 | + | 0.421003i | ||||
\(616\) | −5.06372 | + | 4.51016i | −0.204023 | + | 0.181720i | ||||
\(617\) | −4.15921 | + | 26.2602i | −0.167444 | + | 1.05720i | 0.750611 | + | 0.660744i | \(0.229759\pi\) |
−0.918055 | + | 0.396453i | \(0.870241\pi\) | |||||||
\(618\) | 3.48945 | − | 2.67755i | 0.140366 | − | 0.107707i | ||||
\(619\) | −23.3504 | + | 4.96327i | −0.938530 | + | 0.199491i | −0.651688 | − | 0.758487i | \(-0.725939\pi\) |
−0.286842 | + | 0.957978i | \(0.592606\pi\) | |||||||
\(620\) | −21.8731 | − | 14.2046i | −0.878445 | − | 0.570469i | ||||
\(621\) | −58.6822 | + | 31.8618i | −2.35484 | + | 1.27857i | ||||
\(622\) | 11.2350 | − | 6.88480i | 0.450482 | − | 0.276055i | ||||
\(623\) | −10.2989 | − | 10.4106i | −0.412616 | − | 0.417092i | ||||
\(624\) | −26.3064 | − | 26.3064i | −1.05310 | − | 1.05310i | ||||
\(625\) | −14.9920 | − | 3.18665i | −0.599680 | − | 0.127466i | ||||
\(626\) | 4.14236 | − | 1.97580i | 0.165562 | − | 0.0789690i | ||||
\(627\) | −4.36054 | + | 23.5274i | −0.174143 | + | 0.939593i | ||||
\(628\) | 11.6674 | + | 3.45605i | 0.465581 | + | 0.137912i | ||||
\(629\) | −2.19994 | − | 5.31111i | −0.0877172 | − | 0.211768i | ||||
\(630\) | 14.4081 | − | 4.18346i | 0.574034 | − | 0.166673i | ||||
\(631\) | 13.8924 | + | 10.0934i | 0.553047 | + | 0.401812i | 0.828908 | − | 0.559385i | \(-0.188963\pi\) |
−0.275860 | + | 0.961198i | \(0.588963\pi\) | |||||||
\(632\) | 9.09387 | − | 1.68545i | 0.361735 | − | 0.0670436i | ||||
\(633\) | −10.6468 | + | 23.9132i | −0.423174 | + | 0.950465i | ||||
\(634\) | 1.50011 | + | 5.06427i | 0.0595768 | + | 0.201128i | ||||
\(635\) | −11.0899 | − | 4.25703i | −0.440091 | − | 0.168935i | ||||
\(636\) | 38.6559 | − | 6.12249i | 1.53280 | − | 0.242772i | ||||
\(637\) | 29.4189 | − | 5.12474i | 1.16562 | − | 0.203050i | ||||
\(638\) | −1.55880 | − | 2.14550i | −0.0617133 | − | 0.0849411i | ||||
\(639\) | 2.13064 | + | 11.4959i | 0.0842869 | + | 0.454771i | ||||
\(640\) | 2.15675 | − | 20.5201i | 0.0852529 | − | 0.811127i | ||||
\(641\) | 27.0002 | − | 18.5567i | 1.06644 | − | 0.732946i | 0.101349 | − | 0.994851i | \(-0.467684\pi\) |
0.965094 | + | 0.261905i | \(0.0843507\pi\) | |||||||
\(642\) | 1.03155 | − | 7.83540i | 0.0407120 | − | 0.309239i | ||||
\(643\) | 0.515533 | − | 0.123769i | 0.0203306 | − | 0.00488096i | −0.223267 | − | 0.974757i | \(-0.571672\pi\) |
0.243598 | + | 0.969876i | \(0.421672\pi\) | |||||||
\(644\) | −24.3681 | − | 13.4016i | −0.960239 | − | 0.528096i | ||||
\(645\) | 0.837318 | − | 10.6391i | 0.0329694 | − | 0.418915i | ||||
\(646\) | 0.342054 | − | 1.60924i | 0.0134580 | − | 0.0633147i | ||||
\(647\) | −1.59484 | + | 5.95204i | −0.0626998 | + | 0.233999i | −0.990164 | − | 0.139914i | \(-0.955317\pi\) |
0.927464 | + | 0.373913i | \(0.121984\pi\) | |||||||
\(648\) | 1.39133 | + | 26.5482i | 0.0546566 | + | 1.04291i | ||||
\(649\) | 6.39170 | − | 0.167373i | 0.250896 | − | 0.00656995i | ||||
\(650\) | −1.50863 | + | 2.46186i | −0.0591734 | + | 0.0965622i | ||||
\(651\) | 9.64614 | + | 63.1052i | 0.378062 | + | 2.47329i | ||||
\(652\) | 2.53314 | − | 7.79621i | 0.0992055 | − | 0.305323i | ||||
\(653\) | 26.7238 | + | 34.8272i | 1.04578 | + | 1.36289i | 0.929144 | + | 0.369717i | \(0.120545\pi\) |
0.116639 | + | 0.993174i | \(0.462788\pi\) | |||||||
\(654\) | −23.5115 | + | 9.02522i | −0.919373 | + | 0.352914i | ||||
\(655\) | −21.9685 | + | 12.6835i | −0.858379 | + | 0.495585i | ||||
\(656\) | 14.5756 | − | 10.4959i | 0.569083 | − | 0.409797i | ||||
\(657\) | 58.7117i | 2.29056i | ||||||||
\(658\) | 12.5298 | − | 8.04115i | 0.488461 | − | 0.313477i | ||||
\(659\) | 4.73640 | + | 1.96188i | 0.184504 | + | 0.0764240i | 0.473023 | − | 0.881050i | \(-0.343163\pi\) |
−0.288519 | + | 0.957474i | \(0.593163\pi\) | |||||||
\(660\) | −11.5497 | + | 10.3994i | −0.449572 | + | 0.404797i | ||||
\(661\) | 1.20615 | − | 1.85730i | 0.0469136 | − | 0.0722407i | −0.814436 | − | 0.580254i | \(-0.802953\pi\) |
0.861349 | + | 0.508013i | \(0.169620\pi\) | |||||||
\(662\) | −6.02147 | − | 0.157678i | −0.234031 | − | 0.00612832i | ||||
\(663\) | −0.243094 | − | 9.28338i | −0.00944099 | − | 0.360537i | ||||
\(664\) | −13.1415 | − | 6.69595i | −0.509991 | − | 0.259853i | ||||
\(665\) | 25.6012 | + | 1.48025i | 0.992770 | + | 0.0574017i | ||||
\(666\) | −7.67943 | − | 23.6348i | −0.297572 | − | 0.915832i | ||||
\(667\) | 13.0290 | − | 18.9573i | 0.504483 | − | 0.734028i | ||||
\(668\) | −19.7405 | − | 3.65869i | −0.763784 | − | 0.141559i | ||||
\(669\) | 30.5620 | + | 32.2056i | 1.18159 | + | 1.24514i | ||||
\(670\) | −5.78038 | − | 0.761002i | −0.223316 | − | 0.0294001i | ||||
\(671\) | 0.457035 | + | 5.80718i | 0.0176436 | + | 0.224184i | ||||
\(672\) | −31.5295 | + | 22.6486i | −1.21628 | + | 0.873689i | ||||
\(673\) | 11.9681 | + | 14.0129i | 0.461338 | + | 0.540157i | 0.941496 | − | 0.337025i | \(-0.109421\pi\) |
−0.480158 | + | 0.877182i | \(0.659421\pi\) | |||||||
\(674\) | −0.140967 | − | 1.34121i | −0.00542986 | − | 0.0516616i | ||||
\(675\) | −16.2836 | + | 4.82341i | −0.626754 | + | 0.185653i | ||||
\(676\) | 5.86851 | + | 7.24701i | 0.225712 | + | 0.278731i | ||||
\(677\) | −9.41088 | + | 24.5162i | −0.361689 | + | 0.942233i | 0.625146 | + | 0.780508i | \(0.285039\pi\) |
−0.986836 | + | 0.161726i | \(0.948294\pi\) | |||||||
\(678\) | 11.1280 | + | 2.67161i | 0.427370 | + | 0.102602i | ||||
\(679\) | 28.8440 | + | 26.2544i | 1.10693 | + | 1.00755i | ||||
\(680\) | 1.71853 | − | 1.46777i | 0.0659027 | − | 0.0562863i | ||||
\(681\) | −33.3128 | − | 74.8218i | −1.27655 | − | 2.86718i | ||||
\(682\) | 2.96982 | + | 4.32112i | 0.113720 | + | 0.165464i | ||||
\(683\) | 24.4129 | − | 31.8155i | 0.934134 | − | 1.21739i | −0.0417563 | − | 0.999128i | \(-0.513295\pi\) |
0.975891 | − | 0.218260i | \(-0.0700380\pi\) | |||||||
\(684\) | −17.5684 | + | 59.3098i | −0.671743 | + | 2.26777i | ||||
\(685\) | −13.6406 | − | 11.6502i | −0.521182 | − | 0.445132i | ||||
\(686\) | −0.0840481 | − | 8.41026i | −0.00320897 | − | 0.321105i | ||||
\(687\) | −54.7594 | + | 17.7924i | −2.08920 | + | 0.678823i | ||||
\(688\) | 1.33032 | + | 4.96480i | 0.0507178 | + | 0.189281i | ||||
\(689\) | −29.8983 | + | 1.56690i | −1.13904 | + | 0.0596943i | ||||
\(690\) | 13.6211 | + | 7.39564i | 0.518545 | + | 0.281547i | ||||
\(691\) | −0.531036 | − | 0.978047i | −0.0202016 | − | 0.0372066i | 0.868519 | − | 0.495655i | \(-0.165072\pi\) |
−0.888721 | + | 0.458449i | \(0.848405\pi\) | |||||||
\(692\) | 8.87097 | − | 4.51999i | 0.337224 | − | 0.171824i | ||||
\(693\) | 26.0751 | + | 2.88293i | 0.990510 | + | 0.109513i | ||||
\(694\) | −0.341502 | + | 0.824458i | −0.0129632 | + | 0.0312960i | ||||
\(695\) | 22.5991 | − | 27.9075i | 0.857231 | − | 1.05859i | ||||
\(696\) | −10.5129 | − | 18.2089i | −0.398491 | − | 0.690207i | ||||
\(697\) | 4.44265 | + | 0.604012i | 0.168278 | + | 0.0228786i | ||||
\(698\) | 0.123498 | + | 0.0713017i | 0.00467448 | + | 0.00269881i | ||||
\(699\) | −0.607201 | − | 0.0961712i | −0.0229665 | − | 0.00363753i | ||||
\(700\) | −5.35355 | − | 4.62255i | −0.202345 | − | 0.174716i | ||||
\(701\) | 32.0824 | + | 10.4242i | 1.21174 | + | 0.393717i | 0.844066 | − | 0.536240i | \(-0.180156\pi\) |
0.367670 | + | 0.929956i | \(0.380156\pi\) | |||||||
\(702\) | 1.15537 | − | 22.0458i | 0.0436067 | − | 0.832065i | ||||
\(703\) | 1.11190 | − | 42.4618i | 0.0419361 | − | 1.60148i | ||||
\(704\) | 2.46090 | − | 4.53242i | 0.0927488 | − | 0.170822i | ||||
\(705\) | 60.5251 | − | 39.3055i | 2.27951 | − | 1.48033i | ||||
\(706\) | 0.0194165 | − | 0.0194165i | 0.000730750 | − | 0.000730750i | ||||
\(707\) | −12.8204 | + | 21.9314i | −0.482161 | + | 0.824817i | ||||
\(708\) | 23.8947 | + | 1.88056i | 0.898019 | + | 0.0706757i | ||||
\(709\) | 35.9781 | − | 12.7405i | 1.35119 | − | 0.478480i | 0.442802 | − | 0.896619i | \(-0.353984\pi\) |
0.908383 | + | 0.418139i | \(0.137318\pi\) | |||||||
\(710\) | 1.08252 | − | 1.02727i | 0.0406261 | − | 0.0385527i | ||||
\(711\) | −28.3867 | − | 21.7819i | −1.06459 | − | 0.816885i | ||||
\(712\) | −8.60704 | − | 4.10535i | −0.322563 | − | 0.153854i | ||||
\(713\) | −26.7321 | + | 36.7936i | −1.00112 | + | 1.37793i | ||||
\(714\) | −2.59133 | − | 0.355389i | −0.0969780 | − | 0.0133001i | ||||
\(715\) | 9.61840 | − | 6.98818i | 0.359708 | − | 0.261343i | ||||
\(716\) | 27.1121 | − | 28.5702i | 1.01323 | − | 1.06772i | ||||
\(717\) | 23.8020 | − | 19.2745i | 0.888901 | − | 0.719818i | ||||
\(718\) | 7.46019 | − | 6.04114i | 0.278412 | − | 0.225454i | ||||
\(719\) | 22.2892 | − | 23.4879i | 0.831246 | − | 0.875950i | −0.162604 | − | 0.986691i | \(-0.551989\pi\) |
0.993849 | + | 0.110741i | \(0.0353225\pi\) | |||||||
\(720\) | −28.3373 | + | 20.5882i | −1.05607 | + | 0.767278i | ||||
\(721\) | −3.11306 | − | 7.63179i | −0.115936 | − | 0.284223i | ||||
\(722\) | 2.07343 | − | 2.85383i | 0.0771650 | − | 0.106209i | ||||
\(723\) | −4.04160 | − | 1.92774i | −0.150309 | − | 0.0716935i | ||||
\(724\) | 22.3830 | + | 17.1751i | 0.831859 | + | 0.638307i | ||||
\(725\) | 4.24373 | − | 4.02715i | 0.157608 | − | 0.149565i | ||||
\(726\) | −11.6944 | + | 4.14119i | −0.434019 | + | 0.153694i | ||||
\(727\) | −42.6943 | − | 3.36012i | −1.58344 | − | 0.124620i | −0.744043 | − | 0.668132i | \(-0.767094\pi\) |
−0.839402 | + | 0.543512i | \(0.817094\pi\) | |||||||
\(728\) | 16.8927 | − | 9.63183i | 0.626083 | − | 0.356979i | ||||
\(729\) | −2.42594 | + | 2.42594i | −0.0898494 | + | 0.0898494i | ||||
\(730\) | 6.28508 | − | 4.08158i | 0.232621 | − | 0.151066i | ||||
\(731\) | −0.612209 | + | 1.12755i | −0.0226434 | + | 0.0417039i | ||||
\(732\) | −0.571614 | + | 21.8291i | −0.0211275 | + | 0.806826i | ||||
\(733\) | −2.45638 | + | 46.8706i | −0.0907286 | + | 1.73120i | 0.452626 | + | 0.891701i | \(0.350487\pi\) |
−0.543354 | + | 0.839503i | \(0.682846\pi\) | |||||||
\(734\) | −7.36610 | − | 2.39339i | −0.271888 | − | 0.0883417i | ||||
\(735\) | −0.627369 | − | 40.7648i | −0.0231409 | − | 1.50363i | ||||
\(736\) | −27.3162 | − | 4.32646i | −1.00689 | − | 0.159475i | ||||
\(737\) | −8.82875 | − | 5.09728i | −0.325211 | − | 0.187761i | ||||
\(738\) | 18.9411 | + | 4.10986i | 0.697232 | + | 0.151286i | ||||
\(739\) | 0.137227 | + | 0.237684i | 0.00504797 | + | 0.00874335i | 0.868538 | − | 0.495622i | \(-0.165060\pi\) |
−0.863490 | + | 0.504365i | \(0.831727\pi\) | |||||||
\(740\) | 17.3624 | − | 21.4408i | 0.638255 | − | 0.788179i | ||||
\(741\) | 26.2586 | − | 63.3939i | 0.964634 | − | 2.32883i | ||||
\(742\) | −0.926671 | + | 8.38141i | −0.0340192 | + | 0.307691i | ||||
\(743\) | 0.483266 | − | 0.246237i | 0.0177293 | − | 0.00903354i | −0.445103 | − | 0.895479i | \(-0.646833\pi\) |
0.462833 | + | 0.886446i | \(0.346833\pi\) | |||||||
\(744\) | 19.8357 | + | 36.5329i | 0.727214 | + | 1.33936i | ||||
\(745\) | −1.43395 | − | 0.778573i | −0.0525360 | − | 0.0285247i | ||||
\(746\) | 8.91043 | − | 0.466976i | 0.326234 | − | 0.0170972i | ||||
\(747\) | 14.7682 | + | 55.1157i | 0.540340 | + | 2.01658i | ||||
\(748\) | 1.77703 | − | 0.577391i | 0.0649745 | − | 0.0211115i | ||||
\(749\) | −13.6517 | − | 5.74122i | −0.498823 | − | 0.209780i | ||||
\(750\) | 13.0538 | + | 11.1490i | 0.476658 | + | 0.407104i | ||||
\(751\) | −14.0566 | + | 47.4542i | −0.512931 | + | 1.73163i | 0.155484 | + | 0.987838i | \(0.450306\pi\) |
−0.668415 | + | 0.743788i | \(0.733027\pi\) | |||||||
\(752\) | −21.1594 | + | 27.5754i | −0.771603 | + | 1.00557i | ||||
\(753\) | −53.1026 | − | 77.2647i | −1.93516 | − | 2.81568i | ||||
\(754\) | 3.09320 | + | 6.94745i | 0.112648 | + | 0.253011i | ||||
\(755\) | 29.1230 | − | 24.8734i | 1.05989 | − | 0.905234i | ||||
\(756\) | 52.8362 | + | 11.5290i | 1.92163 | + | 0.419305i | ||||
\(757\) | 13.3731 | + | 3.21059i | 0.486052 | + | 0.116691i | 0.469063 | − | 0.883165i | \(-0.344592\pi\) |
0.0169895 | + | 0.999856i | \(0.494592\pi\) | |||||||
\(758\) | −2.10870 | + | 5.49334i | −0.0765913 | + | 0.199527i | ||||
\(759\) | 17.0555 | + | 21.0618i | 0.619076 | + | 0.764495i | ||||
\(760\) | 16.0113 | − | 4.74276i | 0.580790 | − | 0.172038i | ||||
\(761\) | −4.65450 | − | 44.2846i | −0.168725 | − | 1.60531i | −0.671572 | − | 0.740939i | \(-0.734381\pi\) |
0.502847 | − | 0.864375i | \(-0.332286\pi\) | |||||||
\(762\) | 5.81411 | + | 6.80745i | 0.210623 | + | 0.246608i | ||||
\(763\) | 4.67979 | + | 46.9613i | 0.169420 | + | 1.70011i | ||||
\(764\) | 0.383068 | + | 4.86734i | 0.0138589 | + | 0.176094i | ||||
\(765\) | −8.66856 | − | 1.14124i | −0.313412 | − | 0.0412615i | ||||
\(766\) | −2.44514 | − | 2.57664i | −0.0883467 | − | 0.0930980i | ||||
\(767\) | −18.0284 | − | 3.34136i | −0.650967 | − | 0.120650i | ||||
\(768\) | 3.40212 | − | 4.95011i | 0.122763 | − | 0.178622i | ||||
\(769\) | −10.3322 | − | 31.7992i | −0.372588 | − | 1.14671i | −0.945092 | − | 0.326805i | \(-0.894028\pi\) |
0.572504 | − | 0.819902i | \(-0.305972\pi\) | |||||||
\(770\) | −1.50410 | − | 2.99175i | −0.0542038 | − | 0.107815i | ||||
\(771\) | 31.2859 | + | 15.9410i | 1.12673 | + | 0.574100i | ||||
\(772\) | −0.776925 | − | 29.6696i | −0.0279621 | − | 1.06783i | ||||
\(773\) | −14.4878 | − | 0.379376i | −0.521089 | − | 0.0136452i | −0.235273 | − | 0.971929i | \(-0.575598\pi\) |
−0.285817 | + | 0.958284i | \(0.592265\pi\) | |||||||
\(774\) | −3.02080 | + | 4.65162i | −0.108580 | + | 0.167199i | ||||
\(775\) | −8.59591 | + | 7.73979i | −0.308774 | + | 0.278022i | ||||
\(776\) | 23.4652 | + | 9.71959i | 0.842351 | + | 0.348913i | ||||
\(777\) | −67.4559 | + | 3.17035i | −2.41997 | + | 0.113736i | ||||
\(778\) | 10.5594i | 0.378574i | ||||||||
\(779\) | 28.1729 | + | 17.4287i | 1.00940 | + | 0.624448i | ||||
\(780\) | 38.5970 | − | 22.2840i | 1.38199 | − | 0.797895i | ||||
\(781\) | 2.43615 | − | 0.935151i | 0.0871723 | − | 0.0334623i | ||||
\(782\) | −1.13436 | − | 1.47832i | −0.0405645 | − | 0.0528647i | ||||
\(783\) | −13.8227 | + | 42.5418i | −0.493981 | + | 1.52032i | ||||
\(784\) | 6.83860 | + | 18.4064i | 0.244236 | + | 0.657372i | ||||
\(785\) | −6.64032 | + | 10.8360i | −0.237003 | + | 0.386754i | ||||
\(786\) | 19.1109 | − | 0.500437i | 0.681664 | − | 0.0178500i | ||||
\(787\) | −1.68002 | − | 32.0567i | −0.0598862 | − | 1.14270i | −0.848980 | − | 0.528425i | \(-0.822783\pi\) |
0.789094 | − | 0.614273i | \(-0.210550\pi\) | |||||||
\(788\) | −9.78506 | + | 36.5183i | −0.348578 | + | 1.30091i | ||||
\(789\) | 6.55346 | − | 30.8316i | 0.233309 | − | 1.09763i | ||||
\(790\) | −0.358333 | + | 4.55305i | −0.0127489 | + | 0.161990i | ||||
\(791\) | 10.3346 | − | 18.7915i | 0.367458 | − | 0.668150i | ||||
\(792\) | 16.6112 | − | 3.98799i | 0.590253 | − | 0.141707i | ||||
\(793\) | 2.18036 | − | 16.5615i | 0.0774269 | − | 0.588116i | ||||
\(794\) | 5.23596 | − | 3.59858i | 0.185817 | − | 0.127709i | ||||
\(795\) | −4.27263 | + | 40.6514i | −0.151535 | + | 1.44176i | ||||
\(796\) | −4.82596 | − | 26.0385i | −0.171052 | − | 0.922912i | ||||
\(797\) | −12.6478 | − | 17.4082i | −0.448009 | − | 0.616632i | 0.523959 | − | 0.851743i | \(-0.324454\pi\) |
−0.971968 | + | 0.235112i | \(0.924454\pi\) | |||||||
\(798\) | −16.4235 | − | 10.1866i | −0.581387 | − | 0.360603i | ||||
\(799\) | −8.56947 | + | 1.35727i | −0.303166 | + | 0.0480168i | ||||
\(800\) | −6.56683 | − | 2.52077i | −0.232173 | − | 0.0891227i | ||||
\(801\) | 10.4779 | + | 35.3727i | 0.370218 | + | 1.24983i | ||||
\(802\) | −3.76481 | + | 8.45590i | −0.132940 | + | 0.298588i | ||||
\(803\) | 12.8844 | − | 2.38799i | 0.454682 | − | 0.0842704i | ||||
\(804\) | −30.9175 | − | 22.4629i | −1.09037 | − | 0.792204i | ||||
\(805\) | 20.1066 | − | 20.9602i | 0.708664 | − | 0.738752i | ||||
\(806\) | −5.75396 | − | 13.8913i | −0.202675 | − | 0.489300i | ||||
\(807\) | −45.0470 | − | 13.3435i | −1.58573 | − | 0.469715i | ||||
\(808\) | −3.01464 | + | 16.2656i | −0.106055 | + | 0.572221i | ||||
\(809\) | 29.4314 | − | 14.0380i | 1.03475 | − | 0.493551i | 0.164613 | − | 0.986358i | \(-0.447362\pi\) |
0.870139 | + | 0.492807i | \(0.164029\pi\) | |||||||
\(810\) | −12.8409 | − | 2.72941i | −0.451183 | − | 0.0959018i | ||||
\(811\) | 8.75410 | + | 8.75410i | 0.307398 | + | 0.307398i | 0.843899 | − | 0.536501i | \(-0.180254\pi\) |
−0.536501 | + | 0.843899i | \(0.680254\pi\) | |||||||
\(812\) | −18.0206 | + | 4.72455i | −0.632401 | + | 0.165799i | ||||
\(813\) | −21.0495 | + | 12.8991i | −0.738237 | + | 0.452392i | ||||
\(814\) | −4.87439 | + | 2.64658i | −0.170847 | + | 0.0927624i | ||||
\(815\) | 7.18016 | + | 4.66285i | 0.251510 | + | 0.163333i | ||||
\(816\) | 5.97296 | − | 1.26959i | 0.209095 | − | 0.0444446i | ||||
\(817\) | −7.52108 | + | 5.77113i | −0.263129 | + | 0.201906i | ||||
\(818\) | 1.86093 | − | 11.7495i | 0.0650660 | − | 0.410811i | ||||
\(819\) | −71.4211 | − | 23.6329i | −2.49566 | − | 0.825801i | ||||
\(820\) | 7.62608 | + | 20.1205i | 0.266314 | + | 0.702640i | ||||
\(821\) | −16.7059 | + | 28.9354i | −0.583038 | + | 1.00985i | 0.412078 | + | 0.911148i | \(0.364803\pi\) |
−0.995117 | + | 0.0987038i | \(0.968530\pi\) | |||||||
\(822\) | 4.84484 | + | 12.6212i | 0.168983 | + | 0.440216i | ||||
\(823\) | −2.20624 | − | 16.7581i | −0.0769048 | − | 0.584150i | −0.985899 | − | 0.167341i | \(-0.946482\pi\) |
0.908994 | − | 0.416809i | \(-0.136852\pi\) | |||||||
\(824\) | −3.59140 | − | 3.98866i | −0.125112 | − | 0.138951i | ||||
\(825\) | 3.12928 | + | 6.14155i | 0.108947 | + | 0.213821i | ||||
\(826\) | −1.75009 | + | 4.85862i | −0.0608933 | + | 0.169053i | ||||
\(827\) | −6.42556 | − | 10.4856i | −0.223439 | − | 0.364619i | 0.721202 | − | 0.692724i | \(-0.243590\pi\) |
−0.944641 | + | 0.328106i | \(0.893590\pi\) | |||||||
\(828\) | 38.1579 | + | 58.7579i | 1.32608 | + | 2.04198i | ||||
\(829\) | 44.1456 | + | 11.8288i | 1.53324 | + | 0.410830i | 0.924074 | − | 0.382214i | \(-0.124838\pi\) |
0.609165 | + | 0.793044i | \(0.291505\pi\) | |||||||
\(830\) | 4.87346 | − | 5.41252i | 0.169160 | − | 0.187871i | ||||
\(831\) | 3.20391 | + | 2.20198i | 0.111142 | + | 0.0763860i | ||||
\(832\) | −9.60508 | + | 11.2461i | −0.332996 | + | 0.389888i | ||||
\(833\) | −1.92447 | + | 4.50786i | −0.0666788 | + | 0.156188i | ||||
\(834\) | −25.0032 | + | 10.3567i | −0.865789 | + | 0.358622i | ||||
\(835\) | 9.02699 | − | 18.9255i | 0.312392 | − | 0.654943i | ||||
\(836\) | 13.7303 | + | 1.44311i | 0.474871 | + | 0.0499110i | ||||
\(837\) | 29.5214 | − | 83.3658i | 1.02041 | − | 2.88154i | ||||
\(838\) | 10.0546 | − | 1.05678i | 0.347330 | − | 0.0365058i | ||||
\(839\) | −4.98545 | + | 20.7659i | −0.172117 | + | 0.716918i | 0.817828 | + | 0.575463i | \(0.195178\pi\) |
−0.989945 | + | 0.141455i | \(0.954822\pi\) | |||||||
\(840\) | −9.38029 | − | 24.8362i | −0.323651 | − | 0.856931i | ||||
\(841\) | 2.12605 | + | 13.4234i | 0.0733122 | + | 0.462875i | ||||
\(842\) | −11.9150 | − | 11.3069i | −0.410619 | − | 0.389663i | ||||
\(843\) | 45.7298 | + | 20.3602i | 1.57502 | + | 0.701243i | ||||
\(844\) | 14.2368 | + | 5.04150i | 0.490050 | + | 0.173536i | ||||
\(845\) | −8.89717 | + | 3.96128i | −0.306072 | + | 0.136272i | ||||
\(846\) | −37.3912 | + | 2.94275i | −1.28553 | + | 0.101174i | ||||
\(847\) | 1.69895 | + | 23.1859i | 0.0583766 | + | 0.796678i | ||||
\(848\) | −4.59576 | − | 19.1427i | −0.157819 | − | 0.657364i | ||||
\(849\) | −11.8258 | − | 33.3951i | −0.405862 | − | 1.14612i | ||||
\(850\) | −0.204028 | − | 0.427754i | −0.00699812 | − | 0.0146719i | ||||
\(851\) | −35.7525 | − | 32.1917i | −1.22558 | − | 1.10352i | ||||
\(852\) | 9.44874 | − | 2.53178i | 0.323709 | − | 0.0867374i | ||||
\(853\) | 3.48168 | − | 6.83317i | 0.119210 | − | 0.233963i | −0.823689 | − | 0.567042i | \(-0.808088\pi\) |
0.942899 | + | 0.333079i | \(0.108088\pi\) | |||||||
\(854\) | −4.50381 | − | 1.36057i | −0.154117 | − | 0.0465576i | ||||
\(855\) | −55.0834 | − | 33.7552i | −1.88381 | − | 1.15440i | ||||
\(856\) | −9.63073 | − | 0.504725i | −0.329172 | − | 0.0172512i | ||||
\(857\) | −6.09532 | − | 28.6762i | −0.208212 | − | 0.979561i | −0.950798 | − | 0.309810i | \(-0.899734\pi\) |
0.742586 | − | 0.669750i | \(-0.233599\pi\) | |||||||
\(858\) | −8.88331 | + | 1.16951i | −0.303271 | + | 0.0399264i | ||||
\(859\) | −10.7571 | − | 8.71091i | −0.367027 | − | 0.297212i | 0.428010 | − | 0.903774i | \(-0.359215\pi\) |
−0.795036 | + | 0.606562i | \(0.792548\pi\) | |||||||
\(860\) | −6.15750 | −0.209969 | ||||||||
\(861\) | 24.3614 | − | 46.6954i | 0.830235 | − | 1.59138i | ||||
\(862\) | 17.3010 | 0.589274 | ||||||||
\(863\) | 15.7138 | + | 12.7248i | 0.534904 | + | 0.433157i | 0.858331 | − | 0.513096i | \(-0.171502\pi\) |
−0.323427 | + | 0.946253i | \(0.604835\pi\) | |||||||
\(864\) | 53.3207 | − | 7.01980i | 1.81401 | − | 0.238819i | ||||
\(865\) | 2.16190 | + | 10.1709i | 0.0735067 | + | 0.345822i | ||||
\(866\) | −1.44696 | − | 0.0758322i | −0.0491699 | − | 0.00257688i | ||||
\(867\) | −43.7636 | − | 26.8184i | −1.48629 | − | 0.910799i | ||||
\(868\) | 35.8612 | − | 8.40514i | 1.21721 | − | 0.285289i | ||||
\(869\) | −3.62552 | + | 7.11549i | −0.122987 | + | 0.241376i | ||||
\(870\) | 10.0290 | − | 2.68726i | 0.340015 | − | 0.0911067i | ||||
\(871\) | 21.7253 | + | 19.5616i | 0.736135 | + | 0.662819i | ||||
\(872\) | 13.2305 | + | 27.7383i | 0.448040 | + | 0.939336i | ||||
\(873\) | −32.7997 | − | 92.6234i | −1.11010 | − | 3.13483i | ||||
\(874\) | −3.21414 | − | 13.3878i | −0.108720 | − | 0.452850i | ||||
\(875\) | 26.6100 | − | 18.0779i | 0.899581 | − | 0.611144i | ||||
\(876\) | 48.9707 | − | 3.85408i | 1.65457 | − | 0.130217i | ||||
\(877\) | 24.6820 | − | 10.9891i | 0.833450 | − | 0.371076i | 0.0547716 | − | 0.998499i | \(-0.482557\pi\) |
0.778679 | + | 0.627423i | \(0.215890\pi\) | |||||||
\(878\) | 3.44407 | + | 1.21961i | 0.116232 | + | 0.0411598i | ||||
\(879\) | 71.1362 | + | 31.6719i | 2.39936 | + | 1.06827i | ||||
\(880\) | 5.67071 | + | 5.38130i | 0.191160 | + | 0.181404i | ||||
\(881\) | 7.43564 | + | 46.9468i | 0.250513 | + | 1.58168i | 0.716951 | + | 0.697123i | \(0.245537\pi\) |
−0.466438 | + | 0.884554i | \(0.654463\pi\) | |||||||
\(882\) | −9.82258 | + | 18.7743i | −0.330743 | + | 0.632162i | ||||
\(883\) | 1.73444 | − | 7.22448i | 0.0583687 | − | 0.243123i | −0.935557 | − | 0.353175i | \(-0.885102\pi\) |
0.993926 | + | 0.110052i | \(0.0351019\pi\) | |||||||
\(884\) | −5.32877 | + | 0.560076i | −0.179226 | + | 0.0188374i | ||||
\(885\) | −8.35611 | + | 23.5969i | −0.280888 | + | 0.793202i | ||||
\(886\) | 6.28812 | + | 0.660908i | 0.211254 | + | 0.0222036i | ||||
\(887\) | −12.6495 | + | 26.5202i | −0.424729 | + | 0.890462i | 0.572766 | + | 0.819719i | \(0.305870\pi\) |
−0.997495 | + | 0.0707431i | \(0.977463\pi\) | |||||||
\(888\) | −40.6275 | + | 16.8284i | −1.36337 | + | 0.564726i | ||||
\(889\) | 15.1808 | − | 7.14058i | 0.509147 | − | 0.239487i | ||||
\(890\) | 3.05823 | − | 3.58073i | 0.102512 | − | 0.120026i | ||||
\(891\) | −18.9175 | − | 13.0017i | −0.633761 | − | 0.435572i | ||||
\(892\) | 17.1410 | − | 19.0370i | 0.573924 | − | 0.637408i | ||||
\(893\) | −61.9233 | − | 16.5923i | −2.07219 | − | 0.555241i | ||||
\(894\) | 0.669740 | + | 1.03131i | 0.0223995 | + | 0.0344921i | ||||
\(895\) | 21.4933 | + | 35.0738i | 0.718440 | + | 1.17239i | ||||
\(896\) | 18.8048 | + | 22.2597i | 0.628224 | + | 0.743644i | ||||
\(897\) | −35.2829 | − | 69.2466i | −1.17806 | − | 2.31208i | ||||
\(898\) | −9.27247 | − | 10.2981i | −0.309426 | − | 0.343653i | ||||
\(899\) | 3.97661 | + | 30.2053i | 0.132627 | + | 1.00740i | ||||
\(900\) | 6.38570 | + | 16.6353i | 0.212857 | + | 0.554511i | ||||
\(901\) | 2.45709 | − | 4.25580i | 0.0818574 | − | 0.141781i | ||||
\(902\) | 0.131525 | − | 4.32384i | 0.00437931 | − | 0.143968i | ||||
\(903\) | 10.0244 | + | 11.2548i | 0.333592 | + | 0.374536i | ||||
\(904\) | 2.18465 | − | 13.7933i | 0.0726604 | − | 0.458760i | ||||
\(905\) | −23.3768 | + | 17.9376i | −0.777070 | + | 0.596267i | ||||
\(906\) | −28.2329 | + | 6.00109i | −0.937975 | + | 0.199373i | ||||
\(907\) | 2.84484 | + | 1.84746i | 0.0944615 | + | 0.0613440i | 0.591005 | − | 0.806668i | \(-0.298731\pi\) |
−0.496544 | + | 0.868012i | \(0.665398\pi\) | |||||||
\(908\) | −41.5292 | + | 22.5485i | −1.37820 | + | 0.748299i | ||||
\(909\) | 54.5676 | − | 33.4390i | 1.80989 | − | 1.10910i | ||||
\(910\) | 2.43522 | + | 9.28855i | 0.0807268 | + | 0.307913i | ||||
\(911\) | −6.76792 | − | 6.76792i | −0.224231 | − | 0.224231i | 0.586046 | − | 0.810278i | \(-0.300684\pi\) |
−0.810278 | + | 0.586046i | \(0.800684\pi\) | |||||||
\(912\) | 44.1333 | + | 9.38082i | 1.46140 | + | 0.310630i | ||||
\(913\) | 11.4946 | − | 5.48266i | 0.380417 | − | 0.181449i | ||||
\(914\) | −2.05933 | + | 11.1111i | −0.0681164 | + | 0.367523i | ||||
\(915\) | −21.8669 | − | 6.47726i | −0.722896 | − | 0.214132i | ||||
\(916\) | 12.7130 | + | 30.6920i | 0.420051 | + | 1.01409i | ||||
\(917\) | 8.55104 | − | 34.7896i | 0.282380 | − | 1.14885i | ||||
\(918\) | 2.93148 | + | 2.12985i | 0.0967533 | + | 0.0702954i | ||||
\(919\) | −54.6726 | + | 10.1330i | −1.80348 | + | 0.334256i | −0.974391 | − | 0.224859i | \(-0.927808\pi\) |
−0.829091 | + | 0.559114i | \(0.811141\pi\) | |||||||
\(920\) | 7.69287 | − | 17.2785i | 0.253626 | − | 0.569654i | ||||
\(921\) | 3.15419 | + | 10.6484i | 0.103934 | + | 0.350876i | ||||
\(922\) | 5.17552 | + | 1.98669i | 0.170447 | + | 0.0654283i | ||||
\(923\) | −7.39090 | + | 1.17060i | −0.243274 | + | 0.0385309i | ||||
\(924\) | 0.692939 | − | 21.9382i | 0.0227960 | − | 0.721712i | ||||
\(925\) | −7.19210 | − | 9.89908i | −0.236475 | − | 0.325480i | ||||
\(926\) | 2.05536 | + | 11.0897i | 0.0675432 | + | 0.364430i | ||||
\(927\) | −2.17047 | + | 20.6506i | −0.0712875 | + | 0.678256i | ||||
\(928\) | −15.2684 | + | 10.4937i | −0.501211 | + | 0.344473i | ||||
\(929\) | 6.69519 | − | 50.8550i | 0.219662 | − | 1.66850i | −0.425884 | − | 0.904778i | \(-0.640037\pi\) |
0.645546 | − | 0.763721i | \(-0.276630\pi\) | |||||||
\(930\) | −19.9608 | + | 4.79216i | −0.654540 | + | 0.157141i | ||||
\(931\) | −26.5378 | + | 24.6446i | −0.869741 | + | 0.807696i | ||||
\(932\) | −0.0278300 | + | 0.353614i | −0.000911602 | + | 0.0115830i | ||||
\(933\) | −18.7547 | + | 88.2337i | −0.614000 | + | 2.88864i | ||||
\(934\) | −0.527029 | + | 1.96690i | −0.0172449 | + | 0.0643589i | ||||
\(935\) | 0.102130 | + | 1.94876i | 0.00334001 | + | 0.0637312i | ||||
\(936\) | −48.9717 | + | 1.28237i | −1.60069 | + | 0.0419155i | ||||
\(937\) | 8.24712 | − | 13.4581i | 0.269422 | − | 0.439656i | −0.689104 | − | 0.724662i | \(-0.741996\pi\) |
0.958526 | + | 0.285006i | \(0.0919957\pi\) | |||||||
\(938\) | 6.42682 | − | 5.14717i | 0.209843 | − | 0.168061i | ||||
\(939\) | −9.70881 | + | 29.8806i | −0.316835 | + | 0.975118i | ||||
\(940\) | −25.3483 | − | 33.0345i | −0.826770 | − | 1.07747i | ||||
\(941\) | 27.5258 | − | 10.5662i | 0.897316 | − | 0.344447i | 0.134386 | − | 0.990929i | \(-0.457094\pi\) |
0.762929 | + | 0.646482i | \(0.223760\pi\) | |||||||
\(942\) | 8.29461 | − | 4.78889i | 0.270253 | − | 0.156031i | ||||
\(943\) | 35.7340 | − | 11.4438i | 1.16366 | − | 0.372662i | ||||
\(944\) | − | 12.0565i | − | 0.392405i | ||||||
\(945\) | −25.9127 | + | 50.1853i | −0.842940 | + | 1.63253i | ||||
\(946\) | 1.14368 | + | 0.473726i | 0.0371841 | + | 0.0154022i | ||||
\(947\) | 18.1812 | − | 16.3704i | 0.590810 | − | 0.531968i | −0.318589 | − | 0.947893i | \(-0.603209\pi\) |
0.909399 | + | 0.415925i | \(0.136542\pi\) | |||||||
\(948\) | −16.3046 | + | 25.1069i | −0.529549 | + | 0.815434i | ||||
\(949\) | −37.5643 | − | 0.983656i | −1.21939 | − | 0.0319308i | ||||
\(950\) | −0.0916647 | − | 3.50053i | −0.00297400 | − | 0.113572i | ||||
\(951\) | −32.2170 | − | 16.4154i | −1.04471 | − | 0.532305i | ||||
\(952\) | −0.184239 | + | 3.18644i | −0.00597123 | + | 0.103273i | ||||
\(953\) | 1.90476 | + | 5.86224i | 0.0617012 | + | 0.189897i | 0.977156 | − | 0.212525i | \(-0.0681686\pi\) |
−0.915454 | + | 0.402422i | \(0.868169\pi\) | |||||||
\(954\) | 12.0325 | − | 17.5073i | 0.389565 | − | 0.566821i | ||||
\(955\) | −5.01377 | − | 0.929248i | −0.162242 | − | 0.0300698i | ||||
\(956\) | −12.1641 | − | 12.8183i | −0.393415 | − | 0.414573i | ||||
\(957\) | 17.9996 | + | 2.36969i | 0.581844 | + | 0.0766012i | ||||
\(958\) | 0.0870139 | + | 1.10562i | 0.00281129 | + | 0.0357209i | ||||
\(959\) | 25.2094 | − | 2.51217i | 0.814053 | − | 0.0811221i | ||||
\(960\) | 13.1135 | + | 15.3540i | 0.423237 | + | 0.495547i | ||||
\(961\) | −3.05587 | − | 29.0747i | −0.0985764 | − | 0.937892i | ||||
\(962\) | 15.2505 | − | 4.51739i | 0.491695 | − | 0.145647i | ||||
\(963\) | 23.4797 | + | 28.9950i | 0.756623 | + | 0.934351i | ||||
\(964\) | −0.925872 | + | 2.41198i | −0.0298203 | + | 0.0776846i | ||||
\(965\) | 30.1410 | + | 7.23621i | 0.970272 | + | 0.232942i | ||||
\(966\) | −20.8541 | + | 6.65173i | −0.670970 | + | 0.214016i | ||||
\(967\) | 43.1829 | − | 36.8816i | 1.38867 | − | 1.18603i | 0.429544 | − | 0.903046i | \(-0.358674\pi\) |
0.959124 | − | 0.282988i | \(-0.0913255\pi\) | |||||||
\(968\) | 6.15752 | + | 13.8300i | 0.197910 | + | 0.444514i | ||||
\(969\) | 6.37923 | + | 9.28184i | 0.204930 | + | 0.298176i | ||||
\(970\) | −7.63512 | + | 9.95029i | −0.245149 | + | 0.319484i | ||||
\(971\) | −3.97981 | + | 13.4356i | −0.127718 | + | 0.431170i | −0.998128 | − | 0.0611582i | \(-0.980521\pi\) |
0.870410 | + | 0.492328i | \(0.163854\pi\) | |||||||
\(972\) | −18.8043 | − | 16.0604i | −0.603149 | − | 0.515138i | ||||
\(973\) | 6.34825 | + | 50.3162i | 0.203516 | + | 1.61306i | ||||
\(974\) | 4.60240 | − | 1.49541i | 0.147471 | − | 0.0479161i | ||||
\(975\) | −5.11585 | − | 19.0926i | −0.163838 | − | 0.611454i | ||||
\(976\) | 10.9690 | − | 0.574859i | 0.351108 | − | 0.0184008i | ||||
\(977\) | 25.4247 | + | 13.8045i | 0.813408 | + | 0.441644i | 0.829691 | − | 0.558223i | \(-0.188517\pi\) |
−0.0162831 | + | 0.999867i | \(0.505183\pi\) | |||||||
\(978\) | −3.07870 | − | 5.67025i | −0.0984459 | − | 0.181315i | ||||
\(979\) | 7.33648 | − | 3.73812i | 0.234475 | − | 0.119471i | ||||
\(980\) | −23.4194 | + | 2.20624i | −0.748104 | + | 0.0704757i | ||||
\(981\) | 45.4985 | − | 109.843i | 1.45265 | − | 3.50702i | ||||
\(982\) | 8.75169 | − | 10.8074i | 0.279278 | − | 0.344879i | ||||
\(983\) | −14.0906 | − | 24.4056i | −0.449420 | − | 0.778419i | 0.548928 | − | 0.835870i | \(-0.315036\pi\) |
−0.998348 | + | 0.0574506i | \(0.981703\pi\) | |||||||
\(984\) | 4.62040 | − | 33.9842i | 0.147293 | − | 1.08338i | ||||
\(985\) | −34.1951 | − | 19.7425i | −1.08955 | − | 0.629049i | ||||
\(986\) | −1.23289 | − | 0.195270i | −0.0392631 | − | 0.00621866i | ||||
\(987\) | −19.1140 | + | 100.112i | −0.608406 | + | 3.18661i | ||||
\(988\) | −37.6527 | − | 12.2341i | −1.19789 | − | 0.389218i | ||||
\(989\) | −0.561952 | + | 10.7227i | −0.0178690 | + | 0.340962i | ||||
\(990\) | −0.220825 | + | 8.43297i | −0.00701828 | + | 0.268017i | ||||
\(991\) | 12.7848 | − | 23.5467i | 0.406122 | − | 0.747984i | −0.592206 | − | 0.805787i | \(-0.701743\pi\) |
0.998328 | + | 0.0578025i | \(0.0184094\pi\) | |||||||
\(992\) | 30.7202 | − | 19.9500i | 0.975369 | − | 0.633412i | ||||
\(993\) | 29.1582 | − | 29.1582i | 0.925306 | − | 0.925306i | ||||
\(994\) | −0.0113717 | + | 2.10758i | −0.000360690 | + | 0.0668484i | ||||
\(995\) | 27.5725 | + | 2.17000i | 0.874106 | + | 0.0687936i | ||||
\(996\) | 45.0019 | − | 15.9360i | 1.42594 | − | 0.504952i | ||||
\(997\) | −2.11030 | + | 2.00260i | −0.0668339 | + | 0.0634230i | −0.721041 | − | 0.692893i | \(-0.756336\pi\) |
0.654207 | + | 0.756316i | \(0.273003\pi\) | |||||||
\(998\) | 4.78154 | + | 3.66900i | 0.151357 | + | 0.116140i | ||||
\(999\) | 84.4400 | + | 40.2758i | 2.67156 | + | 1.27427i |
(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 | 287.2.be.a.12.11 | ✓ | 832 | |
7.3 | odd | 6 | inner | 287.2.be.a.94.16 | yes | 832 | |
41.24 | odd | 40 | inner | 287.2.be.a.229.16 | yes | 832 | |
287.24 | even | 120 | inner | 287.2.be.a.24.11 | yes | 832 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
287.2.be.a.12.11 | ✓ | 832 | 1.1 | even | 1 | trivial | |
287.2.be.a.24.11 | yes | 832 | 287.24 | even | 120 | inner | |
287.2.be.a.94.16 | yes | 832 | 7.3 | odd | 6 | inner | |
287.2.be.a.229.16 | yes | 832 | 41.24 | odd | 40 | inner |