Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,2,Mod(5,189)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(189, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([5, 15]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.ba (of order \(18\), degree \(6\), 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: | \(1.50917259820\) |
Analytic rank: | \(0\) |
Dimension: | \(132\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 101.19 | ||
Character | \(\chi\) | \(=\) | 189.101 |
Dual form | 189.2.ba.a.131.19 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{7}{18}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.34473 | − | 1.60259i | 0.950871 | − | 1.13320i | −0.0401094 | − | 0.999195i | \(-0.512771\pi\) |
0.990980 | − | 0.134008i | \(-0.0427849\pi\) | |||||||
\(3\) | 0.0648568 | − | 1.73084i | 0.0374451 | − | 0.999299i | ||||
\(4\) | −0.412694 | − | 2.34051i | −0.206347 | − | 1.17025i | ||||
\(5\) | 0.275976 | − | 0.231571i | 0.123420 | − | 0.103562i | −0.578989 | − | 0.815336i | \(-0.696552\pi\) |
0.702409 | + | 0.711774i | \(0.252108\pi\) | |||||||
\(6\) | −2.68661 | − | 2.43145i | −1.09680 | − | 0.992637i | ||||
\(7\) | 2.18789 | + | 1.48767i | 0.826944 | + | 0.562285i | ||||
\(8\) | −0.682329 | − | 0.393943i | −0.241240 | − | 0.139280i | ||||
\(9\) | −2.99159 | − | 0.224513i | −0.997196 | − | 0.0748377i | ||||
\(10\) | − | 0.753678i | − | 0.238334i | ||||||
\(11\) | −4.02242 | + | 4.79373i | −1.21281 | + | 1.44536i | −0.352327 | + | 0.935877i | \(0.614610\pi\) |
−0.860478 | + | 0.509488i | \(0.829835\pi\) | |||||||
\(12\) | −4.07780 | + | 0.562508i | −1.17716 | + | 0.162382i | ||||
\(13\) | −0.429890 | + | 1.18111i | −0.119230 | + | 0.327582i | −0.984923 | − | 0.172994i | \(-0.944656\pi\) |
0.865693 | + | 0.500576i | \(0.166878\pi\) | |||||||
\(14\) | 5.32625 | − | 1.50578i | 1.42350 | − | 0.402435i | ||||
\(15\) | −0.382913 | − | 0.492688i | −0.0988676 | − | 0.127211i | ||||
\(16\) | 2.91769 | − | 1.06195i | 0.729422 | − | 0.265488i | ||||
\(17\) | −0.937219 | −0.227309 | −0.113654 | − | 0.993520i | \(-0.536256\pi\) | ||||
−0.113654 | + | 0.993520i | \(0.536256\pi\) | |||||||
\(18\) | −4.38269 | + | 4.49238i | −1.03301 | + | 1.05886i | ||||
\(19\) | − | 7.64344i | − | 1.75352i | −0.480924 | − | 0.876762i | \(-0.659699\pi\) | ||
0.480924 | − | 0.876762i | \(-0.340301\pi\) | |||||||
\(20\) | −0.655887 | − | 0.550354i | −0.146661 | − | 0.123063i | ||||
\(21\) | 2.71680 | − | 3.69039i | 0.592855 | − | 0.805309i | ||||
\(22\) | 2.27331 | + | 12.8926i | 0.484672 | + | 2.74871i | ||||
\(23\) | −0.584919 | + | 1.60705i | −0.121964 | + | 0.335093i | −0.985617 | − | 0.168993i | \(-0.945948\pi\) |
0.863653 | + | 0.504086i | \(0.168171\pi\) | |||||||
\(24\) | −0.726104 | + | 1.15545i | −0.148215 | + | 0.235855i | ||||
\(25\) | −0.845703 | + | 4.79622i | −0.169141 | + | 0.959245i | ||||
\(26\) | 1.31476 | + | 2.27722i | 0.257845 | + | 0.446600i | ||||
\(27\) | −0.582620 | + | 5.16339i | −0.112125 | + | 0.993694i | ||||
\(28\) | 2.57896 | − | 5.73471i | 0.487378 | − | 1.08376i | ||||
\(29\) | −0.731568 | − | 2.00997i | −0.135849 | − | 0.373241i | 0.853051 | − | 0.521828i | \(-0.174750\pi\) |
−0.988899 | + | 0.148587i | \(0.952528\pi\) | |||||||
\(30\) | −1.30449 | − | 0.0488812i | −0.238167 | − | 0.00892444i | ||||
\(31\) | 5.71494 | − | 1.00770i | 1.02643 | − | 0.180988i | 0.365013 | − | 0.931002i | \(-0.381065\pi\) |
0.661421 | + | 0.750014i | \(0.269953\pi\) | |||||||
\(32\) | 2.76059 | − | 7.58465i | 0.488007 | − | 1.34079i | ||||
\(33\) | 8.03628 | + | 7.27305i | 1.39894 | + | 1.26608i | ||||
\(34\) | −1.26031 | + | 1.50198i | −0.216141 | + | 0.257587i | ||||
\(35\) | 0.948304 | − | 0.0960919i | 0.160293 | − | 0.0162425i | ||||
\(36\) | 0.709137 | + | 7.09448i | 0.118189 | + | 1.18241i | ||||
\(37\) | 1.66757 | − | 2.88831i | 0.274146 | − | 0.474835i | −0.695773 | − | 0.718261i | \(-0.744938\pi\) |
0.969919 | + | 0.243427i | \(0.0782715\pi\) | |||||||
\(38\) | −12.2493 | − | 10.2784i | −1.98710 | − | 1.66738i | ||||
\(39\) | 2.01643 | + | 0.820673i | 0.322888 | + | 0.131413i | ||||
\(40\) | −0.279532 | + | 0.0492890i | −0.0441978 | + | 0.00779327i | ||||
\(41\) | −8.66669 | − | 3.15442i | −1.35351 | − | 0.492637i | −0.439468 | − | 0.898258i | \(-0.644833\pi\) |
−0.914041 | + | 0.405621i | \(0.867055\pi\) | |||||||
\(42\) | −2.26081 | − | 9.31652i | −0.348850 | − | 1.43757i | ||||
\(43\) | −0.688669 | + | 3.90564i | −0.105021 | + | 0.595604i | 0.886191 | + | 0.463320i | \(0.153342\pi\) |
−0.991212 | + | 0.132284i | \(0.957769\pi\) | |||||||
\(44\) | 12.8798 | + | 7.43615i | 1.94170 | + | 1.12104i | ||||
\(45\) | −0.877596 | + | 0.630805i | −0.130824 | + | 0.0940348i | ||||
\(46\) | 1.78889 | + | 3.09844i | 0.263757 | + | 0.456841i | ||||
\(47\) | 0.876005 | − | 4.96807i | 0.127778 | − | 0.724667i | −0.851840 | − | 0.523802i | \(-0.824513\pi\) |
0.979619 | − | 0.200866i | \(-0.0643755\pi\) | |||||||
\(48\) | −1.64883 | − | 5.11892i | −0.237989 | − | 0.738852i | ||||
\(49\) | 2.57370 | + | 6.50969i | 0.367672 | + | 0.929956i | ||||
\(50\) | 6.54914 | + | 7.80496i | 0.926189 | + | 1.10379i | ||||
\(51\) | −0.0607850 | + | 1.62217i | −0.00851161 | + | 0.227150i | ||||
\(52\) | 2.94182 | + | 0.518722i | 0.407957 | + | 0.0719338i | ||||
\(53\) | −3.01037 | − | 1.73804i | −0.413506 | − | 0.238738i | 0.278789 | − | 0.960352i | \(-0.410067\pi\) |
−0.692295 | + | 0.721614i | \(0.743400\pi\) | |||||||
\(54\) | 7.49133 | + | 7.87709i | 1.01944 | + | 1.07194i | ||||
\(55\) | 2.25443i | 0.303987i | ||||||||
\(56\) | −0.906803 | − | 1.87698i | −0.121177 | − | 0.250822i | ||||
\(57\) | −13.2295 | − | 0.495729i | −1.75229 | − | 0.0656609i | ||||
\(58\) | −4.20492 | − | 1.53047i | −0.552133 | − | 0.200960i | ||||
\(59\) | 6.00562 | + | 2.18587i | 0.781866 | + | 0.284576i | 0.701950 | − | 0.712226i | \(-0.252313\pi\) |
0.0799153 | + | 0.996802i | \(0.474535\pi\) | |||||||
\(60\) | −0.995112 | + | 1.09954i | −0.128468 | + | 0.141950i | ||||
\(61\) | −10.3015 | − | 1.81644i | −1.31898 | − | 0.232571i | −0.530525 | − | 0.847669i | \(-0.678005\pi\) |
−0.788451 | + | 0.615098i | \(0.789116\pi\) | |||||||
\(62\) | 6.07015 | − | 10.5138i | 0.770910 | − | 1.33526i | ||||
\(63\) | −6.21126 | − | 4.94169i | −0.782545 | − | 0.622595i | ||||
\(64\) | −5.33790 | − | 9.24552i | −0.667238 | − | 1.15569i | ||||
\(65\) | 0.154873 | + | 0.425509i | 0.0192096 | + | 0.0527779i | ||||
\(66\) | 22.4624 | − | 3.09856i | 2.76493 | − | 0.381406i | ||||
\(67\) | −0.222678 | + | 0.186849i | −0.0272045 | + | 0.0228273i | −0.656289 | − | 0.754510i | \(-0.727875\pi\) |
0.629084 | + | 0.777337i | \(0.283430\pi\) | |||||||
\(68\) | 0.386785 | + | 2.19357i | 0.0469046 | + | 0.266009i | ||||
\(69\) | 2.74361 | + | 1.11663i | 0.330291 | + | 0.134426i | ||||
\(70\) | 1.12122 | − | 1.64896i | 0.134011 | − | 0.197089i | ||||
\(71\) | −4.18316 | + | 2.41515i | −0.496450 | + | 0.286625i | −0.727246 | − | 0.686377i | \(-0.759200\pi\) |
0.230797 | + | 0.973002i | \(0.425867\pi\) | |||||||
\(72\) | 1.95280 | + | 1.33171i | 0.230140 | + | 0.156943i | ||||
\(73\) | −3.19638 | + | 1.84543i | −0.374108 | + | 0.215992i | −0.675252 | − | 0.737587i | \(-0.735965\pi\) |
0.301143 | + | 0.953579i | \(0.402632\pi\) | |||||||
\(74\) | −2.38635 | − | 6.55643i | −0.277407 | − | 0.762170i | ||||
\(75\) | 8.24663 | + | 1.77484i | 0.952238 | + | 0.204941i | ||||
\(76\) | −17.8895 | + | 3.15440i | −2.05207 | + | 0.361835i | ||||
\(77\) | −15.9321 | + | 4.50413i | −1.81563 | + | 0.513293i | ||||
\(78\) | 4.02677 | − | 2.12793i | 0.455942 | − | 0.240941i | ||||
\(79\) | 7.90824 | + | 6.63581i | 0.889747 | + | 0.746586i | 0.968159 | − | 0.250335i | \(-0.0805406\pi\) |
−0.0784124 | + | 0.996921i | \(0.524985\pi\) | |||||||
\(80\) | 0.559294 | − | 0.968725i | 0.0625309 | − | 0.108307i | ||||
\(81\) | 8.89919 | + | 1.34330i | 0.988799 | + | 0.149256i | ||||
\(82\) | −16.7096 | + | 9.64732i | −1.84527 | + | 1.06537i | ||||
\(83\) | 6.06917 | − | 2.20900i | 0.666178 | − | 0.242469i | 0.0132766 | − | 0.999912i | \(-0.495774\pi\) |
0.652901 | + | 0.757443i | \(0.273552\pi\) | |||||||
\(84\) | −9.75859 | − | 4.83569i | −1.06475 | − | 0.527618i | ||||
\(85\) | −0.258650 | + | 0.217033i | −0.0280545 | + | 0.0235405i | ||||
\(86\) | 5.33306 | + | 6.35570i | 0.575079 | + | 0.685353i | ||||
\(87\) | −3.52637 | + | 1.13586i | −0.378066 | + | 0.121777i | ||||
\(88\) | 4.63307 | − | 1.68630i | 0.493887 | − | 0.179760i | ||||
\(89\) | 5.12391 | 0.543133 | 0.271566 | − | 0.962420i | \(-0.412458\pi\) | ||||
0.271566 | + | 0.962420i | \(0.412458\pi\) | |||||||
\(90\) | −0.169211 | + | 2.25469i | −0.0178364 | + | 0.237666i | ||||
\(91\) | −2.69765 | + | 1.94461i | −0.282791 | + | 0.203851i | ||||
\(92\) | 4.00271 | + | 0.705785i | 0.417311 | + | 0.0735832i | ||||
\(93\) | −1.37351 | − | 9.95699i | −0.142426 | − | 1.03249i | ||||
\(94\) | −6.78379 | − | 8.08461i | −0.699695 | − | 0.833864i | ||||
\(95\) | −1.77000 | − | 2.10940i | −0.181598 | − | 0.216420i | ||||
\(96\) | −12.9487 | − | 5.27004i | −1.32158 | − | 0.537871i | ||||
\(97\) | −7.91567 | − | 1.39575i | −0.803714 | − | 0.141717i | −0.243324 | − | 0.969945i | \(-0.578238\pi\) |
−0.560390 | + | 0.828229i | \(0.689349\pi\) | |||||||
\(98\) | 13.8933 | + | 4.62921i | 1.40344 | + | 0.467621i | ||||
\(99\) | 13.1097 | − | 13.4378i | 1.31757 | − | 1.35055i | ||||
\(100\) | 11.5746 | 1.15746 | ||||||||
\(101\) | −13.3809 | + | 4.87023i | −1.33145 | + | 0.484606i | −0.907108 | − | 0.420898i | \(-0.861715\pi\) |
−0.424337 | + | 0.905504i | \(0.639493\pi\) | |||||||
\(102\) | 2.51794 | + | 2.27880i | 0.249313 | + | 0.225635i | ||||
\(103\) | 4.11263 | + | 4.90124i | 0.405230 | + | 0.482934i | 0.929607 | − | 0.368552i | \(-0.120146\pi\) |
−0.524377 | + | 0.851486i | \(0.675702\pi\) | |||||||
\(104\) | 0.758617 | − | 0.636556i | 0.0743886 | − | 0.0624194i | ||||
\(105\) | −0.104815 | − | 1.64759i | −0.0102289 | − | 0.160788i | ||||
\(106\) | −6.83352 | + | 2.48720i | −0.663730 | + | 0.241578i | ||||
\(107\) | −2.81413 | + | 1.62474i | −0.272053 | + | 0.157070i | −0.629820 | − | 0.776741i | \(-0.716871\pi\) |
0.357767 | + | 0.933811i | \(0.383538\pi\) | |||||||
\(108\) | 12.3254 | − | 0.767274i | 1.18601 | − | 0.0738310i | ||||
\(109\) | 6.30335 | − | 10.9177i | 0.603751 | − | 1.04573i | −0.388496 | − | 0.921450i | \(-0.627005\pi\) |
0.992247 | − | 0.124278i | \(-0.0396613\pi\) | |||||||
\(110\) | 3.61293 | + | 3.03161i | 0.344479 | + | 0.289052i | ||||
\(111\) | −4.89103 | − | 3.07361i | −0.464236 | − | 0.291734i | ||||
\(112\) | 7.96340 | + | 2.01711i | 0.752471 | + | 0.190599i | ||||
\(113\) | −14.5530 | + | 2.56609i | −1.36903 | + | 0.241397i | −0.809358 | − | 0.587315i | \(-0.800185\pi\) |
−0.559674 | + | 0.828713i | \(0.689074\pi\) | |||||||
\(114\) | −18.5847 | + | 20.5349i | −1.74061 | + | 1.92327i | ||||
\(115\) | 0.210723 | + | 0.578957i | 0.0196500 | + | 0.0539880i | ||||
\(116\) | −4.40242 | + | 2.54174i | −0.408755 | + | 0.235995i | ||||
\(117\) | 1.55123 | − | 3.43689i | 0.143411 | − | 0.317740i | ||||
\(118\) | 11.5790 | − | 6.68515i | 1.06594 | − | 0.615418i | ||||
\(119\) | −2.05053 | − | 1.39427i | −0.187972 | − | 0.127812i | ||||
\(120\) | 0.0671816 | + | 0.487020i | 0.00613281 | + | 0.0444587i | ||||
\(121\) | −4.88989 | − | 27.7319i | −0.444535 | − | 2.52108i | ||||
\(122\) | −16.7638 | + | 14.0665i | −1.51773 | + | 1.27352i | ||||
\(123\) | −6.02187 | + | 14.7960i | −0.542974 | + | 1.33411i | ||||
\(124\) | −4.71705 | − | 12.9600i | −0.423604 | − | 1.16384i | ||||
\(125\) | 1.77792 | + | 3.07945i | 0.159022 | + | 0.275435i | ||||
\(126\) | −16.2720 | + | 3.30885i | −1.44963 | + | 0.294775i | ||||
\(127\) | 7.01123 | − | 12.1438i | 0.622146 | − | 1.07759i | −0.366939 | − | 0.930245i | \(-0.619594\pi\) |
0.989085 | − | 0.147344i | \(-0.0470724\pi\) | |||||||
\(128\) | −6.09727 | − | 1.07511i | −0.538928 | − | 0.0950275i | ||||
\(129\) | 6.71535 | + | 1.44528i | 0.591254 | + | 0.127250i | ||||
\(130\) | 0.890179 | + | 0.323999i | 0.0780739 | + | 0.0284166i | ||||
\(131\) | 2.46411 | + | 0.896863i | 0.215290 | + | 0.0783593i | 0.447414 | − | 0.894327i | \(-0.352345\pi\) |
−0.232123 | + | 0.972686i | \(0.574567\pi\) | |||||||
\(132\) | 13.7061 | − | 21.8105i | 1.19296 | − | 1.89836i | ||||
\(133\) | 11.3709 | − | 16.7230i | 0.985980 | − | 1.45007i | ||||
\(134\) | 0.608125i | 0.0525340i | ||||||||
\(135\) | 1.03490 | + | 1.55989i | 0.0890701 | + | 0.134254i | ||||
\(136\) | 0.639491 | + | 0.369210i | 0.0548359 | + | 0.0316595i | ||||
\(137\) | 9.59321 | + | 1.69154i | 0.819603 | + | 0.144518i | 0.567701 | − | 0.823235i | \(-0.307833\pi\) |
0.251902 | + | 0.967753i | \(0.418944\pi\) | |||||||
\(138\) | 5.47892 | − | 2.89532i | 0.466397 | − | 0.246466i | ||||
\(139\) | 0.0836111 | + | 0.0996438i | 0.00709180 | + | 0.00845168i | 0.769579 | − | 0.638552i | \(-0.220466\pi\) |
−0.762487 | + | 0.647004i | \(0.776022\pi\) | |||||||
\(140\) | −0.616263 | − | 2.17985i | −0.0520837 | − | 0.184231i | ||||
\(141\) | −8.54210 | − | 1.83843i | −0.719374 | − | 0.154824i | ||||
\(142\) | −1.75474 | + | 9.95163i | −0.147255 | + | 0.835122i | ||||
\(143\) | −3.93274 | − | 6.81171i | −0.328873 | − | 0.569624i | ||||
\(144\) | −8.96694 | + | 2.52186i | −0.747245 | + | 0.210155i | ||||
\(145\) | −0.667345 | − | 0.385292i | −0.0554199 | − | 0.0319967i | ||||
\(146\) | −1.34081 | + | 7.60411i | −0.110966 | + | 0.629321i | ||||
\(147\) | 11.4341 | − | 4.03246i | 0.943071 | − | 0.332592i | ||||
\(148\) | −7.44829 | − | 2.71096i | −0.612246 | − | 0.222839i | ||||
\(149\) | 14.1676 | − | 2.49814i | 1.16066 | − | 0.204655i | 0.440034 | − | 0.897981i | \(-0.354966\pi\) |
0.720624 | + | 0.693326i | \(0.243855\pi\) | |||||||
\(150\) | 13.9339 | − | 10.8293i | 1.13770 | − | 0.884208i | ||||
\(151\) | 15.5163 | + | 13.0197i | 1.26269 | + | 1.05953i | 0.995390 | + | 0.0959147i | \(0.0305776\pi\) |
0.267305 | + | 0.963612i | \(0.413867\pi\) | |||||||
\(152\) | −3.01107 | + | 5.21533i | −0.244230 | + | 0.423019i | ||||
\(153\) | 2.80377 | + | 0.210418i | 0.226672 | + | 0.0170113i | ||||
\(154\) | −14.2061 | + | 31.5895i | −1.14476 | + | 2.54555i | ||||
\(155\) | 1.34383 | − | 1.60152i | 0.107939 | − | 0.128637i | ||||
\(156\) | 1.08862 | − | 5.05816i | 0.0871593 | − | 0.404977i | ||||
\(157\) | −1.35670 | + | 3.72752i | −0.108277 | + | 0.297488i | −0.981984 | − | 0.188964i | \(-0.939487\pi\) |
0.873707 | + | 0.486452i | \(0.161709\pi\) | |||||||
\(158\) | 21.2690 | − | 3.75029i | 1.69207 | − | 0.298357i | ||||
\(159\) | −3.20350 | + | 5.09773i | −0.254054 | + | 0.404277i | ||||
\(160\) | −0.994530 | − | 2.73245i | −0.0786245 | − | 0.216019i | ||||
\(161\) | −3.67049 | + | 2.64588i | −0.289275 | + | 0.208525i | ||||
\(162\) | 14.1198 | − | 12.4554i | 1.10936 | − | 0.978587i | ||||
\(163\) | −8.65872 | − | 14.9973i | −0.678203 | − | 1.17468i | −0.975522 | − | 0.219904i | \(-0.929426\pi\) |
0.297318 | − | 0.954778i | \(-0.403908\pi\) | |||||||
\(164\) | −3.80624 | + | 21.5863i | −0.297217 | + | 1.68560i | ||||
\(165\) | 3.90205 | + | 0.146215i | 0.303774 | + | 0.0113828i | ||||
\(166\) | 4.62130 | − | 12.6969i | 0.358682 | − | 0.985472i | ||||
\(167\) | 2.13178 | + | 12.0899i | 0.164962 | + | 0.935548i | 0.949103 | + | 0.314965i | \(0.101993\pi\) |
−0.784141 | + | 0.620583i | \(0.786896\pi\) | |||||||
\(168\) | −3.30755 | + | 1.44779i | −0.255183 | + | 0.111700i | ||||
\(169\) | 8.74835 | + | 7.34074i | 0.672950 | + | 0.564672i | ||||
\(170\) | 0.706361i | 0.0541754i | ||||||||
\(171\) | −1.71605 | + | 22.8660i | −0.131230 | + | 1.74861i | ||||
\(172\) | 9.42537 | 0.718678 | ||||||||
\(173\) | 19.8439 | − | 7.22261i | 1.50871 | − | 0.549125i | 0.550409 | − | 0.834895i | \(-0.314472\pi\) |
0.958298 | + | 0.285771i | \(0.0922495\pi\) | |||||||
\(174\) | −2.92170 | + | 7.17876i | −0.221494 | + | 0.544221i | ||||
\(175\) | −8.98548 | + | 9.23547i | −0.679238 | + | 0.698136i | ||||
\(176\) | −6.64546 | + | 18.2582i | −0.500920 | + | 1.37627i | ||||
\(177\) | 4.17289 | − | 10.2530i | 0.313653 | − | 0.770661i | ||||
\(178\) | 6.89029 | − | 8.21153i | 0.516449 | − | 0.615480i | ||||
\(179\) | − | 9.39393i | − | 0.702135i | −0.936350 | − | 0.351068i | \(-0.885819\pi\) | ||
0.936350 | − | 0.351068i | \(-0.114181\pi\) | |||||||
\(180\) | 1.83858 | + | 1.79369i | 0.137040 | + | 0.133694i | ||||
\(181\) | −8.05463 | − | 4.65035i | −0.598696 | − | 0.345657i | 0.169832 | − | 0.985473i | \(-0.445677\pi\) |
−0.768529 | + | 0.639816i | \(0.779011\pi\) | |||||||
\(182\) | −0.511210 | + | 6.93822i | −0.0378934 | + | 0.514295i | ||||
\(183\) | −3.81208 | + | 17.7125i | −0.281797 | + | 1.30934i | ||||
\(184\) | 1.03219 | − | 0.866113i | 0.0760943 | − | 0.0638507i | ||||
\(185\) | −0.208641 | − | 1.18326i | −0.0153396 | − | 0.0869952i | ||||
\(186\) | −17.8040 | − | 11.1883i | −1.30545 | − | 0.820368i | ||||
\(187\) | 3.76989 | − | 4.49278i | 0.275681 | − | 0.328544i | ||||
\(188\) | −11.9893 | −0.874411 | ||||||||
\(189\) | −8.95610 | + | 10.4302i | −0.651460 | + | 0.758683i | ||||
\(190\) | −5.76069 | −0.417924 | ||||||||
\(191\) | −5.86657 | + | 6.99151i | −0.424490 | + | 0.505888i | −0.935324 | − | 0.353791i | \(-0.884892\pi\) |
0.510834 | + | 0.859679i | \(0.329337\pi\) | |||||||
\(192\) | −16.3487 | + | 8.63940i | −1.17986 | + | 0.623495i | ||||
\(193\) | −0.608638 | − | 3.45176i | −0.0438107 | − | 0.248463i | 0.955035 | − | 0.296492i | \(-0.0958169\pi\) |
−0.998846 | + | 0.0480295i | \(0.984706\pi\) | |||||||
\(194\) | −12.8813 | + | 10.8087i | −0.924822 | + | 0.776018i | ||||
\(195\) | 0.746530 | − | 0.240462i | 0.0534602 | − | 0.0172198i | ||||
\(196\) | 14.1738 | − | 8.71028i | 1.01242 | − | 0.622163i | ||||
\(197\) | −17.0883 | − | 9.86593i | −1.21749 | − | 0.702918i | −0.253110 | − | 0.967438i | \(-0.581453\pi\) |
−0.964380 | + | 0.264519i | \(0.914787\pi\) | |||||||
\(198\) | −3.90626 | − | 39.0797i | −0.277605 | − | 2.77727i | ||||
\(199\) | 11.1409i | 0.789757i | 0.918733 | + | 0.394878i | \(0.129213\pi\) | ||||
−0.918733 | + | 0.394878i | \(0.870787\pi\) | |||||||
\(200\) | 2.46648 | − | 2.93944i | 0.174407 | − | 0.207850i | ||||
\(201\) | 0.308963 | + | 0.397538i | 0.0217926 | + | 0.0280402i | ||||
\(202\) | −10.1887 | + | 27.9932i | −0.716875 | + | 1.96960i | ||||
\(203\) | 1.38957 | − | 5.48591i | 0.0975286 | − | 0.385035i | ||||
\(204\) | 3.82179 | − | 0.527194i | 0.267579 | − | 0.0369109i | ||||
\(205\) | −3.12227 | + | 1.13641i | −0.218069 | + | 0.0793705i | ||||
\(206\) | 13.3851 | 0.932584 | ||||||||
\(207\) | 2.11064 | − | 4.67631i | 0.146700 | − | 0.325026i | ||||
\(208\) | 3.90265i | 0.270600i | ||||||||
\(209\) | 36.6406 | + | 30.7451i | 2.53448 | + | 2.12668i | ||||
\(210\) | −2.78136 | − | 2.04760i | −0.191932 | − | 0.141298i | ||||
\(211\) | −1.40219 | − | 7.95221i | −0.0965307 | − | 0.547453i | −0.994268 | − | 0.106921i | \(-0.965901\pi\) |
0.897737 | − | 0.440532i | \(-0.145210\pi\) | |||||||
\(212\) | −2.82553 | + | 7.76307i | −0.194058 | + | 0.533170i | ||||
\(213\) | 3.90892 | + | 7.39700i | 0.267835 | + | 0.506834i | ||||
\(214\) | −1.18047 | + | 6.69475i | −0.0806950 | + | 0.457644i | ||||
\(215\) | 0.714376 | + | 1.23734i | 0.0487201 | + | 0.0843856i | ||||
\(216\) | 2.43162 | − | 3.29361i | 0.165450 | − | 0.224102i | ||||
\(217\) | 14.0028 | + | 6.29720i | 0.950570 | + | 0.427481i | ||||
\(218\) | −9.02032 | − | 24.7831i | −0.610933 | − | 1.67853i | ||||
\(219\) | 2.98683 | + | 5.65210i | 0.201832 | + | 0.381934i | ||||
\(220\) | 5.27650 | − | 0.930390i | 0.355742 | − | 0.0627269i | ||||
\(221\) | 0.402901 | − | 1.10696i | 0.0271021 | − | 0.0744623i | ||||
\(222\) | −11.5029 | + | 3.70514i | −0.772023 | + | 0.248673i | ||||
\(223\) | 4.16647 | − | 4.96540i | 0.279007 | − | 0.332508i | −0.608282 | − | 0.793721i | \(-0.708141\pi\) |
0.887290 | + | 0.461213i | \(0.152586\pi\) | |||||||
\(224\) | 17.3233 | − | 12.4875i | 1.15746 | − | 0.834358i | ||||
\(225\) | 3.60681 | − | 14.1584i | 0.240454 | − | 0.943896i | ||||
\(226\) | −15.4575 | + | 26.7733i | −1.02822 | + | 1.78093i | ||||
\(227\) | 5.31375 | + | 4.45877i | 0.352686 | + | 0.295939i | 0.801868 | − | 0.597502i | \(-0.203840\pi\) |
−0.449181 | + | 0.893441i | \(0.648284\pi\) | |||||||
\(228\) | 4.29950 | + | 31.1684i | 0.284741 | + | 2.06418i | ||||
\(229\) | −18.1760 | + | 3.20491i | −1.20110 | + | 0.211787i | −0.738175 | − | 0.674610i | \(-0.764312\pi\) |
−0.462927 | + | 0.886396i | \(0.653201\pi\) | |||||||
\(230\) | 1.21120 | + | 0.440840i | 0.0798641 | + | 0.0290682i | ||||
\(231\) | 6.76261 | + | 27.8679i | 0.444947 | + | 1.83358i | ||||
\(232\) | −0.292641 | + | 1.65965i | −0.0192129 | + | 0.108962i | ||||
\(233\) | 20.8367 | + | 12.0300i | 1.36505 | + | 0.788115i | 0.990292 | − | 0.139006i | \(-0.0443908\pi\) |
0.374763 | + | 0.927121i | \(0.377724\pi\) | |||||||
\(234\) | −3.42194 | − | 7.10769i | −0.223699 | − | 0.464644i | ||||
\(235\) | −0.908705 | − | 1.57392i | −0.0592774 | − | 0.102671i | ||||
\(236\) | 2.63755 | − | 14.9583i | 0.171690 | − | 0.973702i | ||||
\(237\) | 11.9984 | − | 13.2575i | 0.779379 | − | 0.861167i | ||||
\(238\) | −4.99186 | + | 1.41124i | −0.323574 | + | 0.0914772i | ||||
\(239\) | −3.56306 | − | 4.24628i | −0.230475 | − | 0.274669i | 0.638396 | − | 0.769708i | \(-0.279598\pi\) |
−0.868871 | + | 0.495039i | \(0.835154\pi\) | |||||||
\(240\) | −1.64043 | − | 1.03087i | −0.105889 | − | 0.0665426i | ||||
\(241\) | −10.0391 | − | 1.77016i | −0.646673 | − | 0.114026i | −0.159314 | − | 0.987228i | \(-0.550928\pi\) |
−0.487358 | + | 0.873202i | \(0.662039\pi\) | |||||||
\(242\) | −51.0185 | − | 29.4556i | −3.27960 | − | 1.89348i | ||||
\(243\) | 2.90221 | − | 15.3159i | 0.186177 | − | 0.982516i | ||||
\(244\) | 24.8604i | 1.59153i | ||||||||
\(245\) | 2.21773 | + | 1.20052i | 0.141686 | + | 0.0766985i | ||||
\(246\) | 15.6142 | + | 29.5473i | 0.995524 | + | 1.88387i | ||||
\(247\) | 9.02777 | + | 3.28584i | 0.574423 | + | 0.209073i | ||||
\(248\) | −4.29645 | − | 1.56378i | −0.272825 | − | 0.0993000i | ||||
\(249\) | −3.42979 | − | 10.6480i | −0.217354 | − | 0.674790i | ||||
\(250\) | 7.32595 | + | 1.29176i | 0.463333 | + | 0.0816982i | ||||
\(251\) | 10.3890 | − | 17.9942i | 0.655746 | − | 1.13579i | −0.325960 | − | 0.945384i | \(-0.605688\pi\) |
0.981706 | − | 0.190402i | \(-0.0609792\pi\) | |||||||
\(252\) | −9.00271 | + | 16.5769i | −0.567117 | + | 1.04425i | ||||
\(253\) | −5.35099 | − | 9.26818i | −0.336414 | − | 0.582685i | ||||
\(254\) | −10.0333 | − | 27.5663i | −0.629547 | − | 1.72967i | ||||
\(255\) | 0.358873 | + | 0.461756i | 0.0224735 | + | 0.0289163i | ||||
\(256\) | 6.43410 | − | 5.39885i | 0.402132 | − | 0.337428i | ||||
\(257\) | −4.40206 | − | 24.9653i | −0.274593 | − | 1.55729i | −0.740251 | − | 0.672330i | \(-0.765294\pi\) |
0.465658 | − | 0.884965i | \(-0.345818\pi\) | |||||||
\(258\) | 11.3466 | − | 8.81845i | 0.706406 | − | 0.549013i | ||||
\(259\) | 7.94528 | − | 3.83851i | 0.493696 | − | 0.238514i | ||||
\(260\) | 0.931991 | − | 0.538085i | 0.0577996 | − | 0.0333706i | ||||
\(261\) | 1.73728 | + | 6.17723i | 0.107535 | + | 0.382361i | ||||
\(262\) | 4.75088 | − | 2.74292i | 0.293510 | − | 0.169458i | ||||
\(263\) | −1.35880 | − | 3.73327i | −0.0837872 | − | 0.230203i | 0.890723 | − | 0.454546i | \(-0.150199\pi\) |
−0.974510 | + | 0.224343i | \(0.927976\pi\) | |||||||
\(264\) | −2.61822 | − | 8.12845i | −0.161140 | − | 0.500271i | ||||
\(265\) | −1.23327 | + | 0.217458i | −0.0757591 | + | 0.0133584i | ||||
\(266\) | −11.5093 | − | 40.7108i | −0.705680 | − | 2.49614i | ||||
\(267\) | 0.332320 | − | 8.86864i | 0.0203377 | − | 0.542752i | ||||
\(268\) | 0.529220 | + | 0.444068i | 0.0323272 | + | 0.0271258i | ||||
\(269\) | −2.35052 | + | 4.07121i | −0.143313 | + | 0.248226i | −0.928742 | − | 0.370726i | \(-0.879109\pi\) |
0.785429 | + | 0.618952i | \(0.212442\pi\) | |||||||
\(270\) | 3.89153 | + | 0.439108i | 0.236831 | + | 0.0267233i | ||||
\(271\) | −7.44995 | + | 4.30123i | −0.452552 | + | 0.261281i | −0.708907 | − | 0.705302i | \(-0.750812\pi\) |
0.256355 | + | 0.966583i | \(0.417478\pi\) | |||||||
\(272\) | −2.73451 | + | 0.995282i | −0.165804 | + | 0.0603478i | ||||
\(273\) | 3.19084 | + | 4.79532i | 0.193119 | + | 0.290226i | ||||
\(274\) | 15.6112 | − | 13.0993i | 0.943105 | − | 0.791359i | ||||
\(275\) | −19.5900 | − | 23.3465i | −1.18132 | − | 1.40785i | ||||
\(276\) | 1.48120 | − | 6.88225i | 0.0891578 | − | 0.414263i | ||||
\(277\) | −14.9283 | + | 5.43344i | −0.896952 | + | 0.326464i | −0.749031 | − | 0.662535i | \(-0.769480\pi\) |
−0.147921 | + | 0.988999i | \(0.547258\pi\) | |||||||
\(278\) | 0.272123 | 0.0163209 | ||||||||
\(279\) | −17.3230 | + | 1.73154i | −1.03710 | + | 0.103665i | ||||
\(280\) | −0.684909 | − | 0.308011i | −0.0409312 | − | 0.0184072i | ||||
\(281\) | 21.2686 | + | 3.75023i | 1.26878 | + | 0.223720i | 0.767208 | − | 0.641398i | \(-0.221645\pi\) |
0.501569 | + | 0.865118i | \(0.332756\pi\) | |||||||
\(282\) | −14.4331 | + | 11.2173i | −0.859479 | + | 0.667980i | ||||
\(283\) | −2.92239 | − | 3.48277i | −0.173718 | − | 0.207029i | 0.672159 | − | 0.740407i | \(-0.265367\pi\) |
−0.845877 | + | 0.533377i | \(0.820923\pi\) | |||||||
\(284\) | 7.37903 | + | 8.79399i | 0.437865 | + | 0.521827i | ||||
\(285\) | −3.76583 | + | 2.92677i | −0.223068 | + | 0.173367i | ||||
\(286\) | −16.2049 | − | 2.85736i | −0.958216 | − | 0.168959i | ||||
\(287\) | −14.2690 | − | 19.7946i | −0.842274 | − | 1.16844i | ||||
\(288\) | −9.96139 | + | 22.0703i | −0.586980 | + | 1.30051i | ||||
\(289\) | −16.1216 | −0.948331 | ||||||||
\(290\) | −1.51487 | + | 0.551366i | −0.0889560 | + | 0.0323773i | ||||
\(291\) | −2.92919 | + | 13.6102i | −0.171712 | + | 0.797844i | ||||
\(292\) | 5.63837 | + | 6.71955i | 0.329961 | + | 0.393232i | ||||
\(293\) | −6.06074 | + | 5.08556i | −0.354072 | + | 0.297102i | −0.802423 | − | 0.596756i | \(-0.796456\pi\) |
0.448351 | + | 0.893858i | \(0.352012\pi\) | |||||||
\(294\) | 8.91348 | − | 23.7468i | 0.519845 | − | 1.38494i | ||||
\(295\) | 2.16359 | − | 0.787482i | 0.125969 | − | 0.0458490i | ||||
\(296\) | −2.27565 | + | 1.31385i | −0.132270 | + | 0.0763660i | ||||
\(297\) | −22.4083 | − | 23.5622i | −1.30026 | − | 1.36722i | ||||
\(298\) | 15.0482 | − | 26.0643i | 0.871720 | − | 1.50986i | ||||
\(299\) | −1.64666 | − | 1.38171i | −0.0952288 | − | 0.0799064i | ||||
\(300\) | 0.750692 | − | 20.0337i | 0.0433412 | − | 1.15665i | ||||
\(301\) | −7.31701 | + | 7.52058i | −0.421746 | + | 0.433479i | ||||
\(302\) | 41.7305 | − | 7.35821i | 2.40132 | − | 0.423417i | ||||
\(303\) | 7.56174 | + | 23.4759i | 0.434410 | + | 1.34866i | ||||
\(304\) | −8.11696 | − | 22.3012i | −0.465540 | − | 1.27906i | ||||
\(305\) | −3.26361 | + | 1.88424i | −0.186873 | + | 0.107891i | ||||
\(306\) | 4.10754 | − | 4.21035i | 0.234813 | − | 0.240690i | ||||
\(307\) | 16.6860 | − | 9.63367i | 0.952321 | − | 0.549823i | 0.0585197 | − | 0.998286i | \(-0.481362\pi\) |
0.893801 | + | 0.448464i | \(0.148029\pi\) | |||||||
\(308\) | 17.1170 | + | 35.4303i | 0.975333 | + | 2.01883i | ||||
\(309\) | 8.74998 | − | 6.80041i | 0.497769 | − | 0.386862i | ||||
\(310\) | −0.759480 | − | 4.30723i | −0.0431356 | − | 0.244634i | ||||
\(311\) | 10.1814 | − | 8.54323i | 0.577336 | − | 0.484442i | −0.306735 | − | 0.951795i | \(-0.599237\pi\) |
0.884071 | + | 0.467353i | \(0.154792\pi\) | |||||||
\(312\) | −1.05257 | − | 1.35433i | −0.0595901 | − | 0.0766737i | ||||
\(313\) | 5.11582 | + | 14.0556i | 0.289163 | + | 0.794470i | 0.996184 | + | 0.0872770i | \(0.0278165\pi\) |
−0.707021 | + | 0.707193i | \(0.749961\pi\) | |||||||
\(314\) | 4.14928 | + | 7.18676i | 0.234157 | + | 0.405573i | ||||
\(315\) | −2.85851 | + | 0.0745606i | −0.161059 | + | 0.00420102i | ||||
\(316\) | 12.2675 | − | 21.2479i | 0.690098 | − | 1.19528i | ||||
\(317\) | −16.3443 | − | 2.88195i | −0.917990 | − | 0.161866i | −0.305361 | − | 0.952237i | \(-0.598777\pi\) |
−0.612629 | + | 0.790370i | \(0.709888\pi\) | |||||||
\(318\) | 3.86173 | + | 11.9890i | 0.216555 | + | 0.672310i | ||||
\(319\) | 12.5779 | + | 4.57798i | 0.704228 | + | 0.256318i | ||||
\(320\) | −3.61412 | − | 1.31543i | −0.202036 | − | 0.0735350i | ||||
\(321\) | 2.62964 | + | 4.97618i | 0.146772 | + | 0.277743i | ||||
\(322\) | −0.695564 | + | 9.44031i | −0.0387623 | + | 0.526088i | ||||
\(323\) | 7.16357i | 0.398592i | ||||||||
\(324\) | −0.528641 | − | 21.3830i | −0.0293689 | − | 1.18794i | ||||
\(325\) | −5.30133 | − | 3.06072i | −0.294065 | − | 0.169778i | ||||
\(326\) | −35.6783 | − | 6.29105i | −1.97604 | − | 0.348429i | ||||
\(327\) | −18.4880 | − | 11.6182i | −1.02239 | − | 0.642485i | ||||
\(328\) | 4.67087 | + | 5.56653i | 0.257906 | + | 0.307360i | ||||
\(329\) | 9.30743 | − | 9.56637i | 0.513135 | − | 0.527411i | ||||
\(330\) | 5.48154 | − | 6.05677i | 0.301749 | − | 0.333414i | ||||
\(331\) | −3.98781 | + | 22.6160i | −0.219190 | + | 1.24309i | 0.654297 | + | 0.756238i | \(0.272965\pi\) |
−0.873486 | + | 0.486848i | \(0.838146\pi\) | |||||||
\(332\) | −7.67488 | − | 13.2933i | −0.421214 | − | 0.729564i | ||||
\(333\) | −5.63713 | + | 8.26623i | −0.308913 | + | 0.452987i | ||||
\(334\) | 22.2419 | + | 12.8414i | 1.21702 | + | 0.702649i | ||||
\(335\) | −0.0181849 | + | 0.103132i | −0.000993547 | + | 0.00563469i | ||||
\(336\) | 4.00778 | − | 13.6525i | 0.218642 | − | 0.744806i | ||||
\(337\) | 25.8190 | + | 9.39733i | 1.40645 | + | 0.511905i | 0.930085 | − | 0.367344i | \(-0.119733\pi\) |
0.476363 | + | 0.879249i | \(0.341955\pi\) | |||||||
\(338\) | 23.5284 | − | 4.14870i | 1.27978 | − | 0.225659i | ||||
\(339\) | 3.49762 | + | 25.3553i | 0.189965 | + | 1.37711i | ||||
\(340\) | 0.614710 | + | 0.515803i | 0.0333373 | + | 0.0279733i | ||||
\(341\) | −18.1573 | + | 31.4493i | −0.983271 | + | 1.70308i | ||||
\(342\) | 34.3372 | + | 33.4988i | 1.85675 | + | 1.81141i | ||||
\(343\) | −4.05327 | + | 18.0713i | −0.218856 | + | 0.975757i | ||||
\(344\) | 2.00849 | − | 2.39363i | 0.108291 | − | 0.129056i | ||||
\(345\) | 1.01575 | − | 0.327178i | 0.0546860 | − | 0.0176147i | ||||
\(346\) | 15.1099 | − | 41.5142i | 0.812316 | − | 2.23182i | ||||
\(347\) | 9.82099 | − | 1.73171i | 0.527218 | − | 0.0929628i | 0.0962976 | − | 0.995353i | \(-0.469300\pi\) |
0.430921 | + | 0.902390i | \(0.358189\pi\) | |||||||
\(348\) | 4.11381 | + | 7.78472i | 0.220523 | + | 0.417305i | ||||
\(349\) | −9.55483 | − | 26.2517i | −0.511458 | − | 1.40522i | −0.879717 | − | 0.475497i | \(-0.842268\pi\) |
0.368259 | − | 0.929723i | \(-0.379954\pi\) | |||||||
\(350\) | 2.71761 | + | 26.8193i | 0.145262 | + | 1.43355i | ||||
\(351\) | −5.84808 | − | 2.90783i | −0.312148 | − | 0.155208i | ||||
\(352\) | 25.2545 | + | 43.7421i | 1.34607 | + | 2.33146i | ||||
\(353\) | 4.10320 | − | 23.2704i | 0.218392 | − | 1.23856i | −0.656532 | − | 0.754298i | \(-0.727977\pi\) |
0.874923 | − | 0.484262i | \(-0.160912\pi\) | |||||||
\(354\) | −10.8199 | − | 20.4750i | −0.575073 | − | 1.08823i | ||||
\(355\) | −0.595172 | + | 1.63522i | −0.0315884 | + | 0.0867885i | ||||
\(356\) | −2.11461 | − | 11.9925i | −0.112074 | − | 0.635603i | ||||
\(357\) | −2.54624 | + | 3.45870i | −0.134761 | + | 0.183054i | ||||
\(358\) | −15.0546 | − | 12.6323i | −0.795662 | − | 0.667640i | ||||
\(359\) | 0.0297974i | 0.00157265i | 1.00000 | 0.000786324i | \(0.000250295\pi\) | |||||
−1.00000 | 0.000786324i | \(0.999750\pi\) | ||||||||
\(360\) | 0.847309 | − | 0.0846938i | 0.0446571 | − | 0.00446375i | ||||
\(361\) | −39.4221 | −2.07485 | ||||||||
\(362\) | −18.2839 | + | 6.65481i | −0.960983 | + | 0.349769i | ||||
\(363\) | −48.3165 | + | 6.66499i | −2.53596 | + | 0.349821i | ||||
\(364\) | 5.66468 | + | 5.51134i | 0.296910 | + | 0.288873i | ||||
\(365\) | −0.454775 | + | 1.24948i | −0.0238040 | + | 0.0654010i | ||||
\(366\) | 23.2596 | + | 29.9278i | 1.21580 | + | 1.56435i | ||||
\(367\) | −10.0778 | + | 12.0103i | −0.526059 | + | 0.626933i | −0.962002 | − | 0.273041i | \(-0.911970\pi\) |
0.435943 | + | 0.899974i | \(0.356415\pi\) | |||||||
\(368\) | 5.31003i | 0.276805i | ||||||||
\(369\) | 25.2190 | + | 11.3825i | 1.31285 | + | 0.592549i | ||||
\(370\) | −2.17685 | − | 1.25681i | −0.113169 | − | 0.0653383i | ||||
\(371\) | −4.00073 | − | 8.28106i | −0.207708 | − | 0.429931i | ||||
\(372\) | −22.7375 | + | 7.32390i | −1.17889 | + | 0.379726i | ||||
\(373\) | 11.7396 | − | 9.85066i | 0.607852 | − | 0.510048i | −0.286107 | − | 0.958198i | \(-0.592361\pi\) |
0.893959 | + | 0.448150i | \(0.147917\pi\) | |||||||
\(374\) | −2.13059 | − | 12.0832i | −0.110170 | − | 0.624807i | ||||
\(375\) | 5.44534 | − | 2.87757i | 0.281196 | − | 0.148597i | ||||
\(376\) | −2.55486 | + | 3.04476i | −0.131757 | + | 0.157021i | ||||
\(377\) | 2.68849 | 0.138464 | ||||||||
\(378\) | 4.67172 | + | 28.3788i | 0.240287 | + | 1.45965i | ||||
\(379\) | 17.9559 | 0.922330 | 0.461165 | − | 0.887314i | \(-0.347432\pi\) | ||||
0.461165 | + | 0.887314i | \(0.347432\pi\) | |||||||
\(380\) | −4.20660 | + | 5.01323i | −0.215794 | + | 0.257173i | ||||
\(381\) | −20.5642 | − | 12.9229i | −1.05354 | − | 0.662060i | ||||
\(382\) | 3.31556 | + | 18.8034i | 0.169639 | + | 0.962068i | ||||
\(383\) | −26.4748 | + | 22.2150i | −1.35280 | + | 1.13513i | −0.374665 | + | 0.927160i | \(0.622242\pi\) |
−0.978135 | + | 0.207973i | \(0.933313\pi\) | |||||||
\(384\) | −2.25629 | + | 10.4836i | −0.115141 | + | 0.534991i | ||||
\(385\) | −3.35384 | + | 4.93244i | −0.170927 | + | 0.251380i | ||||
\(386\) | −6.35021 | − | 3.66630i | −0.323217 | − | 0.186610i | ||||
\(387\) | 2.93708 | − | 11.5294i | 0.149300 | − | 0.586074i | ||||
\(388\) | 19.1027i | 0.969792i | ||||||||
\(389\) | 0.222028 | − | 0.264602i | 0.0112573 | − | 0.0134159i | −0.760386 | − | 0.649471i | \(-0.774990\pi\) |
0.771644 | + | 0.636055i | \(0.219435\pi\) | |||||||
\(390\) | 0.618523 | − | 1.51974i | 0.0313201 | − | 0.0769551i | ||||
\(391\) | 0.548197 | − | 1.50616i | 0.0277235 | − | 0.0761697i | ||||
\(392\) | 0.808334 | − | 5.45564i | 0.0408270 | − | 0.275551i | ||||
\(393\) | 1.71214 | − | 4.20681i | 0.0863659 | − | 0.212205i | ||||
\(394\) | −38.7903 | + | 14.1185i | −1.95423 | + | 0.711280i | ||||
\(395\) | 3.71914 | 0.187130 | ||||||||
\(396\) | −36.8615 | − | 25.1376i | −1.85236 | − | 1.26321i | ||||
\(397\) | − | 2.62188i | − | 0.131589i | −0.997833 | − | 0.0657943i | \(-0.979042\pi\) | ||
0.997833 | − | 0.0657943i | \(-0.0209581\pi\) | |||||||
\(398\) | 17.8543 | + | 14.9815i | 0.894955 | + | 0.750956i | ||||
\(399\) | −28.2073 | − | 20.7657i | −1.41213 | − | 1.03959i | ||||
\(400\) | 2.62586 | + | 14.8920i | 0.131293 | + | 0.744599i | ||||
\(401\) | −5.90492 | + | 16.2236i | −0.294878 | + | 0.810169i | 0.700458 | + | 0.713694i | \(0.252979\pi\) |
−0.995335 | + | 0.0964756i | \(0.969243\pi\) | |||||||
\(402\) | 1.05256 | + | 0.0394411i | 0.0524972 | + | 0.00196714i | ||||
\(403\) | −1.26659 | + | 7.18320i | −0.0630934 | + | 0.357821i | ||||
\(404\) | 16.9210 | + | 29.3081i | 0.841852 | + | 1.45813i | ||||
\(405\) | 2.76703 | − | 1.69008i | 0.137495 | − | 0.0839805i | ||||
\(406\) | −6.92307 | − | 9.60400i | −0.343586 | − | 0.476638i | ||||
\(407\) | 7.13813 | + | 19.6118i | 0.353824 | + | 0.972123i | ||||
\(408\) | 0.680518 | − | 1.08291i | 0.0336907 | − | 0.0536120i | ||||
\(409\) | −22.7379 | + | 4.00930i | −1.12432 | + | 0.198247i | −0.704735 | − | 0.709471i | \(-0.748934\pi\) |
−0.419581 | + | 0.907718i | \(0.637823\pi\) | |||||||
\(410\) | −2.37741 | + | 6.53189i | −0.117412 | + | 0.322587i | ||||
\(411\) | 3.54997 | − | 16.4946i | 0.175107 | − | 0.813617i | ||||
\(412\) | 9.77413 | − | 11.6484i | 0.481537 | − | 0.573873i | ||||
\(413\) | 9.88779 | + | 13.7168i | 0.486546 | + | 0.674959i | ||||
\(414\) | −4.65597 | − | 9.67089i | −0.228828 | − | 0.475298i | ||||
\(415\) | 1.16340 | − | 2.01507i | 0.0571092 | − | 0.0989161i | ||||
\(416\) | 7.77158 | + | 6.52113i | 0.381033 | + | 0.319725i | ||||
\(417\) | 0.177890 | − | 0.138254i | 0.00871130 | − | 0.00677035i | ||||
\(418\) | 98.5437 | − | 17.3759i | 4.81993 | − | 0.849884i | ||||
\(419\) | 21.7961 | + | 7.93314i | 1.06481 | + | 0.387559i | 0.814234 | − | 0.580537i | \(-0.197157\pi\) |
0.250577 | + | 0.968097i | \(0.419380\pi\) | |||||||
\(420\) | −3.81294 | + | 0.925272i | −0.186052 | + | 0.0451487i | ||||
\(421\) | −3.28202 | + | 18.6133i | −0.159956 | + | 0.907156i | 0.794158 | + | 0.607712i | \(0.207912\pi\) |
−0.954114 | + | 0.299444i | \(0.903199\pi\) | |||||||
\(422\) | −14.6297 | − | 8.44647i | −0.712163 | − | 0.411168i | ||||
\(423\) | −3.73604 | + | 14.6657i | −0.181653 | + | 0.713073i | ||||
\(424\) | 1.36937 | + | 2.37183i | 0.0665027 | + | 0.115186i | ||||
\(425\) | 0.792609 | − | 4.49511i | 0.0384472 | − | 0.218045i | ||||
\(426\) | 17.1108 | + | 3.68260i | 0.829023 | + | 0.178423i | ||||
\(427\) | −19.8363 | − | 19.2994i | −0.959947 | − | 0.933963i | ||||
\(428\) | 4.96409 | + | 5.91598i | 0.239949 | + | 0.285959i | ||||
\(429\) | −12.0450 | + | 6.36515i | −0.581539 | + | 0.307312i | ||||
\(430\) | 2.94359 | + | 0.519035i | 0.141953 | + | 0.0250301i | ||||
\(431\) | 35.0297 | + | 20.2244i | 1.68732 | + | 0.974175i | 0.956557 | + | 0.291545i | \(0.0941692\pi\) |
0.730764 | + | 0.682630i | \(0.239164\pi\) | |||||||
\(432\) | 3.78336 | + | 15.6839i | 0.182027 | + | 0.754591i | ||||
\(433\) | 5.57490i | 0.267912i | 0.990987 | + | 0.133956i | \(0.0427681\pi\) | ||||
−0.990987 | + | 0.133956i | \(0.957232\pi\) | |||||||
\(434\) | 28.9218 | − | 13.9727i | 1.38829 | − | 0.670710i | ||||
\(435\) | −0.710158 | + | 1.13008i | −0.0340495 | + | 0.0541830i | ||||
\(436\) | −28.1543 | − | 10.2473i | −1.34835 | − | 0.490759i | ||||
\(437\) | 12.2834 | + | 4.47079i | 0.587594 | + | 0.213867i | ||||
\(438\) | 13.0745 | + | 2.81390i | 0.624724 | + | 0.134453i | ||||
\(439\) | −33.6601 | − | 5.93518i | −1.60651 | − | 0.283271i | −0.702789 | − | 0.711398i | \(-0.748062\pi\) |
−0.903718 | + | 0.428127i | \(0.859174\pi\) | |||||||
\(440\) | 0.888115 | − | 1.53826i | 0.0423392 | − | 0.0733337i | ||||
\(441\) | −6.23794 | − | 20.0521i | −0.297045 | − | 0.954864i | ||||
\(442\) | −1.23221 | − | 2.13426i | −0.0586104 | − | 0.101516i | ||||
\(443\) | −4.54519 | − | 12.4878i | −0.215949 | − | 0.593314i | 0.783663 | − | 0.621186i | \(-0.213349\pi\) |
−0.999611 | + | 0.0278724i | \(0.991127\pi\) | |||||||
\(444\) | −5.17530 | + | 12.7160i | −0.245609 | + | 0.603472i | ||||
\(445\) | 1.41407 | − | 1.18655i | 0.0670335 | − | 0.0562478i | ||||
\(446\) | −2.35472 | − | 13.3543i | −0.111499 | − | 0.632344i | ||||
\(447\) | −3.40500 | − | 24.6839i | −0.161051 | − | 1.16751i | ||||
\(448\) | 2.07551 | − | 28.1692i | 0.0980587 | − | 1.33087i | ||||
\(449\) | −10.5259 | + | 6.07712i | −0.496747 | + | 0.286797i | −0.727369 | − | 0.686247i | \(-0.759257\pi\) |
0.230622 | + | 0.973043i | \(0.425924\pi\) | |||||||
\(450\) | −17.8400 | − | 24.8196i | −0.840986 | − | 1.17001i | ||||
\(451\) | 49.9825 | − | 28.8574i | 2.35358 | − | 1.35884i | ||||
\(452\) | 12.0119 | + | 33.0024i | 0.564992 | + | 1.55230i | ||||
\(453\) | 23.5413 | − | 26.0117i | 1.10607 | − | 1.22214i | ||||
\(454\) | 14.2912 | − | 2.51992i | 0.670718 | − | 0.118266i | ||||
\(455\) | −0.294171 | + | 1.16136i | −0.0137910 | + | 0.0544456i | ||||
\(456\) | 8.83160 | + | 5.54993i | 0.413578 | + | 0.259899i | ||||
\(457\) | −10.9634 | − | 9.19939i | −0.512846 | − | 0.430329i | 0.349283 | − | 0.937017i | \(-0.386425\pi\) |
−0.862129 | + | 0.506688i | \(0.830870\pi\) | |||||||
\(458\) | −19.3057 | + | 33.4384i | −0.902095 | + | 1.56248i | ||||
\(459\) | 0.546043 | − | 4.83922i | 0.0254871 | − | 0.225876i | ||||
\(460\) | 1.26809 | − | 0.732131i | 0.0591249 | − | 0.0341358i | ||||
\(461\) | −23.2811 | + | 8.47362i | −1.08431 | + | 0.394656i | −0.821509 | − | 0.570195i | \(-0.806868\pi\) |
−0.262798 | + | 0.964851i | \(0.584645\pi\) | |||||||
\(462\) | 53.7548 | + | 26.6373i | 2.50090 | + | 1.23928i | ||||
\(463\) | −13.5051 | + | 11.3321i | −0.627634 | + | 0.526647i | −0.900193 | − | 0.435492i | \(-0.856574\pi\) |
0.272559 | + | 0.962139i | \(0.412130\pi\) | |||||||
\(464\) | −4.26897 | − | 5.08756i | −0.198182 | − | 0.236184i | ||||
\(465\) | −2.68480 | − | 2.42982i | −0.124505 | − | 0.112680i | ||||
\(466\) | 47.2990 | − | 17.2154i | 2.19108 | − | 0.797490i | ||||
\(467\) | 3.57088 | 0.165240 | 0.0826202 | − | 0.996581i | \(-0.473671\pi\) | ||||
0.0826202 | + | 0.996581i | \(0.473671\pi\) | |||||||
\(468\) | −8.68424 | − | 2.21228i | −0.401429 | − | 0.102263i | ||||
\(469\) | −0.765164 | + | 0.0775343i | −0.0353320 | + | 0.00358020i | ||||
\(470\) | −3.74432 | − | 0.660225i | −0.172713 | − | 0.0304539i | ||||
\(471\) | 6.36373 | + | 2.58999i | 0.293225 | + | 0.119340i | ||||
\(472\) | −3.23670 | − | 3.85735i | −0.148981 | − | 0.177549i | ||||
\(473\) | −15.9525 | − | 19.0114i | −0.733495 | − | 0.874145i | ||||
\(474\) | −5.11171 | − | 37.0563i | −0.234788 | − | 1.70205i | ||||
\(475\) | 36.6596 | + | 6.46408i | 1.68206 | + | 0.296592i | ||||
\(476\) | −2.41705 | + | 5.37468i | −0.110785 | + | 0.246348i | ||||
\(477\) | 8.61557 | + | 5.87536i | 0.394480 | + | 0.269014i | ||||
\(478\) | −11.5964 | −0.530408 | ||||||||
\(479\) | 6.03889 | − | 2.19798i | 0.275924 | − | 0.100428i | −0.200352 | − | 0.979724i | \(-0.564209\pi\) |
0.476276 | + | 0.879296i | \(0.341986\pi\) | |||||||
\(480\) | −4.79392 | + | 1.54415i | −0.218812 | + | 0.0704805i | ||||
\(481\) | 2.69455 | + | 3.21124i | 0.122861 | + | 0.146420i | ||||
\(482\) | −16.3367 | + | 13.7081i | −0.744117 | + | 0.624388i | ||||
\(483\) | 4.34153 | + | 6.52462i | 0.197547 | + | 0.296881i | ||||
\(484\) | −62.8887 | + | 22.8896i | −2.85858 | + | 1.04044i | ||||
\(485\) | −2.50775 | + | 1.44785i | −0.113871 | + | 0.0657434i | ||||
\(486\) | −20.6425 | − | 25.2469i | −0.936361 | − | 1.14522i | ||||
\(487\) | 8.85684 | − | 15.3405i | 0.401342 | − | 0.695144i | −0.592546 | − | 0.805536i | \(-0.701877\pi\) |
0.993888 | + | 0.110392i | \(0.0352107\pi\) | |||||||
\(488\) | 6.31346 | + | 5.29762i | 0.285797 | + | 0.239812i | ||||
\(489\) | −26.5195 | + | 14.0141i | −1.19925 | + | 0.633741i | ||||
\(490\) | 4.90621 | − | 1.93974i | 0.221640 | − | 0.0876286i | ||||
\(491\) | 12.0720 | − | 2.12862i | 0.544803 | − | 0.0960634i | 0.105528 | − | 0.994416i | \(-0.466347\pi\) |
0.439274 | + | 0.898353i | \(0.355236\pi\) | |||||||
\(492\) | 37.1154 | + | 7.98799i | 1.67329 | + | 0.360126i | ||||
\(493\) | 0.685639 | + | 1.88378i | 0.0308796 | + | 0.0848411i | ||||
\(494\) | 17.4058 | − | 10.0492i | 0.783124 | − | 0.452137i | ||||
\(495\) | 0.506149 | − | 6.74432i | 0.0227497 | − | 0.303135i | ||||
\(496\) | 15.6043 | − | 9.00915i | 0.700654 | − | 0.404523i | ||||
\(497\) | −12.7452 | − | 0.939070i | −0.571701 | − | 0.0421231i | ||||
\(498\) | −21.6766 | − | 8.82220i | −0.971350 | − | 0.395332i | ||||
\(499\) | 0.866807 | + | 4.91590i | 0.0388036 | + | 0.220066i | 0.998043 | − | 0.0625278i | \(-0.0199162\pi\) |
−0.959240 | + | 0.282594i | \(0.908805\pi\) | |||||||
\(500\) | 6.47374 | − | 5.43212i | 0.289515 | − | 0.242932i | ||||
\(501\) | 21.0640 | − | 2.90565i | 0.941069 | − | 0.129815i | ||||
\(502\) | −14.8670 | − | 40.8467i | −0.663547 | − | 1.82308i | ||||
\(503\) | −10.5236 | − | 18.2273i | −0.469222 | − | 0.812717i | 0.530158 | − | 0.847899i | \(-0.322132\pi\) |
−0.999381 | + | 0.0351814i | \(0.988799\pi\) | |||||||
\(504\) | 2.29137 | + | 5.81873i | 0.102066 | + | 0.259187i | ||||
\(505\) | −2.56499 | + | 4.44269i | −0.114140 | + | 0.197697i | ||||
\(506\) | −22.0488 | − | 3.88779i | −0.980187 | − | 0.172833i | ||||
\(507\) | 13.2730 | − | 14.6659i | 0.589475 | − | 0.651334i | ||||
\(508\) | −31.3162 | − | 11.3981i | −1.38943 | − | 0.505711i | ||||
\(509\) | 25.7085 | + | 9.35714i | 1.13951 | + | 0.414748i | 0.841737 | − | 0.539888i | \(-0.181534\pi\) |
0.297774 | + | 0.954636i | \(0.403756\pi\) | |||||||
\(510\) | 1.22260 | + | 0.0458123i | 0.0541374 | + | 0.00202860i | ||||
\(511\) | −9.73871 | − | 0.717551i | −0.430815 | − | 0.0317426i | ||||
\(512\) | − | 29.9539i | − | 1.32379i | ||||||
\(513\) | 39.4660 | + | 4.45322i | 1.74247 | + | 0.196614i | ||||
\(514\) | −45.9289 | − | 26.5170i | −2.02583 | − | 1.16962i | ||||
\(515\) | 2.26997 | + | 0.400257i | 0.100027 | + | 0.0176374i | ||||
\(516\) | 0.611300 | − | 16.3138i | 0.0269110 | − | 0.718174i | ||||
\(517\) | 20.2919 | + | 24.1830i | 0.892438 | + | 1.06357i | ||||
\(518\) | 4.53272 | − | 17.8948i | 0.199156 | − | 0.786253i | ||||
\(519\) | −11.2141 | − | 34.8151i | −0.492246 | − | 1.52821i | ||||
\(520\) | 0.0619521 | − | 0.351348i | 0.00271678 | − | 0.0154076i | ||||
\(521\) | 18.9952 | + | 32.9006i | 0.832194 | + | 1.44140i | 0.896295 | + | 0.443458i | \(0.146249\pi\) |
−0.0641012 | + | 0.997943i | \(0.520418\pi\) | |||||||
\(522\) | 12.2358 | + | 5.52258i | 0.535545 | + | 0.241717i | ||||
\(523\) | −0.735757 | − | 0.424789i | −0.0321724 | − | 0.0185747i | 0.483828 | − | 0.875163i | \(-0.339246\pi\) |
−0.516000 | + | 0.856589i | \(0.672580\pi\) | |||||||
\(524\) | 1.08219 | − | 6.13740i | 0.0472756 | − | 0.268113i | ||||
\(525\) | 15.4023 | + | 16.1514i | 0.672212 | + | 0.704904i | ||||
\(526\) | −7.81014 | − | 2.84266i | −0.340538 | − | 0.123946i | ||||
\(527\) | −5.35615 | + | 0.944435i | −0.233318 | + | 0.0411402i | ||||
\(528\) | 31.1710 | + | 12.6864i | 1.35654 | + | 0.552103i | ||||
\(529\) | 15.3785 | + | 12.9041i | 0.668632 | + | 0.561049i | ||||
\(530\) | −1.30992 | + | 2.26885i | −0.0568993 | + | 0.0985525i | ||||
\(531\) | −17.4756 | − | 7.88756i | −0.758376 | − | 0.342291i | ||||
\(532\) | −43.8329 | − | 19.7121i | −1.90040 | − | 0.854629i | ||||
\(533\) | 7.45145 | − | 8.88030i | 0.322758 | − | 0.384648i | ||||
\(534\) | −13.7659 | − | 12.4585i | −0.595710 | − | 0.539134i | ||||
\(535\) | −0.400389 | + | 1.10006i | −0.0173103 | + | 0.0475598i | ||||
\(536\) | 0.225548 | − | 0.0397701i | 0.00974217 | − | 0.00171781i | ||||
\(537\) | −16.2594 | − | 0.609261i | −0.701643 | − | 0.0262915i | ||||
\(538\) | 3.36367 | + | 9.24162i | 0.145018 | + | 0.398434i | ||||
\(539\) | −41.5582 | − | 13.8471i | −1.79004 | − | 0.596435i | ||||
\(540\) | 3.22383 | − | 3.06595i | 0.138731 | − | 0.131937i | ||||
\(541\) | 20.4690 | + | 35.4533i | 0.880031 | + | 1.52426i | 0.851305 | + | 0.524671i | \(0.175812\pi\) |
0.0287257 | + | 0.999587i | \(0.490855\pi\) | |||||||
\(542\) | −3.12508 | + | 17.7232i | −0.134234 | + | 0.761278i | ||||
\(543\) | −8.57138 | + | 13.6396i | −0.367833 | + | 0.585333i | ||||
\(544\) | −2.58727 | + | 7.10848i | −0.110928 | + | 0.304773i | ||||
\(545\) | −0.788657 | − | 4.47270i | −0.0337824 | − | 0.191589i | ||||
\(546\) | 11.9758 | + | 1.33481i | 0.512516 | + | 0.0571247i | ||||
\(547\) | −9.03807 | − | 7.58384i | −0.386440 | − | 0.324262i | 0.428784 | − | 0.903407i | \(-0.358942\pi\) |
−0.815224 | + | 0.579145i | \(0.803386\pi\) | |||||||
\(548\) | − | 23.1510i | − | 0.988964i | ||||||
\(549\) | 30.4101 | + | 7.74686i | 1.29787 | + | 0.330628i | ||||
\(550\) | −63.7583 | −2.71866 | ||||||||
\(551\) | −15.3630 | + | 5.59169i | −0.654487 | + | 0.238214i | ||||
\(552\) | −1.43215 | − | 1.84273i | −0.0609565 | − | 0.0784318i | ||||
\(553\) | 7.43049 | + | 26.2832i | 0.315977 | + | 1.11768i | ||||
\(554\) | −11.3670 | + | 31.2304i | −0.482935 | + | 1.32685i | ||||
\(555\) | −2.06156 | + | 0.284381i | −0.0875085 | + | 0.0120713i | ||||
\(556\) | 0.198711 | − | 0.236815i | 0.00842723 | − | 0.0100432i | ||||
\(557\) | 31.2086i | 1.32235i | 0.750232 | + | 0.661175i | \(0.229942\pi\) | ||||
−0.750232 | + | 0.661175i | \(0.770058\pi\) | |||||||
\(558\) | −20.5199 | + | 30.0902i | −0.868676 | + | 1.27382i | ||||
\(559\) | −4.31695 | − | 2.49239i | −0.182587 | − | 0.105417i | ||||
\(560\) | 2.66481 | − | 1.28742i | 0.112609 | − | 0.0544034i | ||||
\(561\) | −7.53176 | − | 6.81644i | −0.317991 | − | 0.287791i | ||||
\(562\) | 34.6107 | − | 29.0418i | 1.45996 | − | 1.22505i | ||||
\(563\) | −2.88191 | − | 16.3441i | −0.121458 | − | 0.688824i | −0.983349 | − | 0.181729i | \(-0.941831\pi\) |
0.861890 | − | 0.507095i | \(-0.169281\pi\) | |||||||
\(564\) | −0.777589 | + | 20.7515i | −0.0327424 | + | 0.873798i | ||||
\(565\) | −3.42205 | + | 4.07824i | −0.143967 | + | 0.171573i | ||||
\(566\) | −9.51130 | −0.399790 | ||||||||
\(567\) | 17.4720 | + | 16.1780i | 0.733757 | + | 0.679412i | ||||
\(568\) | 3.80572 | 0.159684 | ||||||||
\(569\) | −8.45351 | + | 10.0745i | −0.354389 | + | 0.422345i | −0.913558 | − | 0.406709i | \(-0.866676\pi\) |
0.559168 | + | 0.829054i | \(0.311121\pi\) | |||||||
\(570\) | −0.373620 | + | 9.97081i | −0.0156492 | + | 0.417631i | ||||
\(571\) | 2.47480 | + | 14.0353i | 0.103567 | + | 0.587359i | 0.991783 | + | 0.127932i | \(0.0408340\pi\) |
−0.888216 | + | 0.459427i | \(0.848055\pi\) | |||||||
\(572\) | −14.3198 | + | 12.0158i | −0.598742 | + | 0.502404i | ||||
\(573\) | 11.7207 | + | 10.6075i | 0.489638 | + | 0.443136i | ||||
\(574\) | −50.9108 | − | 3.75112i | −2.12498 | − | 0.156569i | ||||
\(575\) | −7.21311 | − | 4.16449i | −0.300807 | − | 0.173671i | ||||
\(576\) | 13.8931 | + | 28.8572i | 0.578877 | + | 1.20238i | ||||
\(577\) | − | 0.548136i | − | 0.0228192i | −0.999935 | − | 0.0114096i | \(-0.996368\pi\) | ||
0.999935 | − | 0.0114096i | \(-0.00363187\pi\) | |||||||
\(578\) | −21.6793 | + | 25.8364i | −0.901740 | + | 1.07465i | ||||
\(579\) | −6.01390 | + | 0.829582i | −0.249929 | + | 0.0344763i | ||||
\(580\) | −0.626368 | + | 1.72093i | −0.0260085 | + | 0.0714578i | ||||
\(581\) | 16.5649 | + | 4.19586i | 0.687228 | + | 0.174074i | ||||
\(582\) | 17.8726 | + | 22.9964i | 0.740844 | + | 0.953232i | ||||
\(583\) | 20.4407 | − | 7.43979i | 0.846566 | − | 0.308125i | ||||
\(584\) | 2.90798 | 0.120333 | ||||||||
\(585\) | −0.367782 | − | 1.30772i | −0.0152059 | − | 0.0540675i | ||||
\(586\) | 16.5516i | 0.683741i | ||||||||
\(587\) | −19.8533 | − | 16.6589i | −0.819432 | − | 0.687585i | 0.133407 | − | 0.991061i | \(-0.457408\pi\) |
−0.952839 | + | 0.303476i | \(0.901853\pi\) | |||||||
\(588\) | −14.1568 | − | 25.0975i | −0.583816 | − | 1.03500i | ||||
\(589\) | −7.70228 | − | 43.6818i | −0.317367 | − | 1.79988i | ||||
\(590\) | 1.64744 | − | 4.52631i | 0.0678241 | − | 0.186345i | ||||
\(591\) | −18.1846 | + | 28.9372i | −0.748015 | + | 1.19032i | ||||
\(592\) | 1.79819 | − | 10.1981i | 0.0739053 | − | 0.419138i | ||||
\(593\) | −1.71212 | − | 2.96547i | −0.0703082 | − | 0.121777i | 0.828728 | − | 0.559651i | \(-0.189065\pi\) |
−0.899036 | + | 0.437874i | \(0.855732\pi\) | |||||||
\(594\) | −67.8939 | + | 4.22650i | −2.78572 | + | 0.173415i | ||||
\(595\) | −0.888768 | + | 0.0900591i | −0.0364359 | + | 0.00369206i | ||||
\(596\) | −11.6938 | − | 32.1285i | −0.478997 | − | 1.31603i | ||||
\(597\) | 19.2830 | + | 0.722563i | 0.789203 | + | 0.0295725i | ||||
\(598\) | −4.42864 | + | 0.780889i | −0.181101 | + | 0.0319329i | ||||
\(599\) | 9.51273 | − | 26.1360i | 0.388680 | − | 1.06789i | −0.578917 | − | 0.815387i | \(-0.696524\pi\) |
0.967596 | − | 0.252502i | \(-0.0812533\pi\) | |||||||
\(600\) | −4.92772 | − | 4.45972i | −0.201173 | − | 0.182067i | ||||
\(601\) | 4.26455 | − | 5.08229i | 0.173955 | − | 0.207311i | −0.672022 | − | 0.740531i | \(-0.734574\pi\) |
0.845976 | + | 0.533220i | \(0.179018\pi\) | |||||||
\(602\) | 2.21299 | + | 21.8394i | 0.0901947 | + | 0.890106i | ||||
\(603\) | 0.708112 | − | 0.508982i | 0.0288365 | − | 0.0207273i | ||||
\(604\) | 24.0692 | − | 41.6890i | 0.979361 | − | 1.69630i | ||||
\(605\) | −7.77140 | − | 6.52098i | −0.315952 | − | 0.265115i | ||||
\(606\) | 47.7909 | + | 19.4505i | 1.94137 | + | 0.790124i | ||||
\(607\) | −36.0153 | + | 6.35047i | −1.46182 | + | 0.257758i | −0.847287 | − | 0.531136i | \(-0.821765\pi\) |
−0.614530 | + | 0.788894i | \(0.710654\pi\) | |||||||
\(608\) | −57.9728 | − | 21.1004i | −2.35111 | − | 0.855733i | ||||
\(609\) | −9.40508 | − | 2.76091i | −0.381113 | − | 0.111878i | ||||
\(610\) | −1.36901 | + | 7.76403i | −0.0554295 | + | 0.314357i | ||||
\(611\) | 5.49127 | + | 3.17039i | 0.222153 | + | 0.128260i | ||||
\(612\) | −0.664616 | − | 6.64908i | −0.0268655 | − | 0.268773i | ||||
\(613\) | 7.90264 | + | 13.6878i | 0.319185 | + | 0.552844i | 0.980318 | − | 0.197424i | \(-0.0632577\pi\) |
−0.661134 | + | 0.750268i | \(0.729924\pi\) | |||||||
\(614\) | 6.99940 | − | 39.6956i | 0.282473 | − | 1.60198i | ||||
\(615\) | 1.76444 | + | 5.47784i | 0.0711492 | + | 0.220888i | ||||
\(616\) | 12.6453 | + | 3.20302i | 0.509493 | + | 0.129053i | ||||
\(617\) | 10.9448 | + | 13.0434i | 0.440619 | + | 0.525109i | 0.939955 | − | 0.341299i | \(-0.110867\pi\) |
−0.499336 | + | 0.866409i | \(0.666423\pi\) | |||||||
\(618\) | 0.868115 | − | 23.1674i | 0.0349207 | − | 0.931930i | ||||
\(619\) | 23.4106 | + | 4.12792i | 0.940952 | + | 0.165915i | 0.623027 | − | 0.782200i | \(-0.285903\pi\) |
0.317925 | + | 0.948116i | \(0.397014\pi\) | |||||||
\(620\) | −4.30295 | − | 2.48431i | −0.172811 | − | 0.0997722i | ||||
\(621\) | −7.95704 | − | 3.95646i | −0.319305 | − | 0.158767i | ||||
\(622\) | − | 27.8050i | − | 1.11488i | ||||||
\(623\) | 11.2105 | + | 7.62266i | 0.449140 | + | 0.305395i | ||||
\(624\) | 6.75484 | + | 0.253113i | 0.270410 | + | 0.0101326i | ||||
\(625\) | −21.6787 | − | 7.89041i | −0.867149 | − | 0.315617i | ||||
\(626\) | 29.4048 | + | 10.7025i | 1.17525 | + | 0.427757i | ||||
\(627\) | 55.5911 | − | 61.4248i | 2.22010 | − | 2.45307i | ||||
\(628\) | 9.28418 | + | 1.63705i | 0.370479 | + | 0.0653254i | ||||
\(629\) | −1.56287 | + | 2.70698i | −0.0623158 | + | 0.107934i | ||||
\(630\) | −3.72444 | + | 4.68129i | −0.148385 | + | 0.186507i | ||||
\(631\) | 21.9990 | + | 38.1033i | 0.875765 | + | 1.51687i | 0.855946 | + | 0.517066i | \(0.172976\pi\) |
0.0198191 | + | 0.999804i | \(0.493691\pi\) | |||||||
\(632\) | −2.78189 | − | 7.64319i | −0.110658 | − | 0.304030i | ||||
\(633\) | −13.8549 | + | 1.91120i | −0.550683 | + | 0.0759635i | ||||
\(634\) | −26.5974 | + | 22.3179i | −1.05632 | + | 0.886356i | ||||
\(635\) | −0.877226 | − | 4.97499i | −0.0348116 | − | 0.197427i | ||||
\(636\) | 13.2533 | + | 5.39401i | 0.525529 | + | 0.213886i | ||||
\(637\) | −8.79509 | + | 0.241382i | −0.348474 | + | 0.00956392i | ||||
\(638\) | 24.2506 | − | 14.0011i | 0.960090 | − | 0.554308i | ||||
\(639\) | 13.0565 | − | 6.28595i | 0.516508 | − | 0.248668i | ||||
\(640\) | −1.93166 | + | 1.11525i | −0.0763557 | + | 0.0440840i | ||||
\(641\) | −9.08443 | − | 24.9593i | −0.358813 | − | 0.985831i | −0.979442 | − | 0.201727i | \(-0.935345\pi\) |
0.620629 | − | 0.784105i | \(-0.286877\pi\) | |||||||
\(642\) | 11.5110 | + | 2.47739i | 0.454301 | + | 0.0977749i | ||||
\(643\) | −21.8428 | + | 3.85147i | −0.861394 | + | 0.151887i | −0.586858 | − | 0.809690i | \(-0.699635\pi\) |
−0.274536 | + | 0.961577i | \(0.588524\pi\) | |||||||
\(644\) | 7.70750 | + | 7.49887i | 0.303718 | + | 0.295497i | ||||
\(645\) | 2.18796 | − | 1.15622i | 0.0861508 | − | 0.0455261i | ||||
\(646\) | 11.4803 | + | 9.63310i | 0.451686 | + | 0.379009i | ||||
\(647\) | −6.41692 | + | 11.1144i | −0.252275 | + | 0.436954i | −0.964152 | − | 0.265351i | \(-0.914512\pi\) |
0.711877 | + | 0.702305i | \(0.247846\pi\) | |||||||
\(648\) | −5.54299 | − | 4.42234i | −0.217749 | − | 0.173726i | ||||
\(649\) | −34.6356 | + | 19.9969i | −1.35957 | + | 0.784946i | ||||
\(650\) | −12.0340 | + | 4.38000i | −0.472011 | + | 0.171798i | ||||
\(651\) | 11.8076 | − | 23.8281i | 0.462776 | − | 0.933896i | ||||
\(652\) | −31.5280 | + | 26.4551i | −1.23473 | + | 1.03606i | ||||
\(653\) | 6.85654 | + | 8.17131i | 0.268317 | + | 0.319768i | 0.883332 | − | 0.468747i | \(-0.155294\pi\) |
−0.615015 | + | 0.788515i | \(0.710850\pi\) | |||||||
\(654\) | −43.4806 | + | 14.0053i | −1.70022 | + | 0.547652i | ||||
\(655\) | 0.887722 | − | 0.323104i | 0.0346862 | − | 0.0126247i | ||||
\(656\) | −28.6366 | −1.11807 | ||||||||
\(657\) | 9.97658 | − | 4.80314i | 0.389223 | − | 0.187388i | ||||
\(658\) | −2.81498 | − | 27.7802i | −0.109739 | − | 1.08299i | ||||
\(659\) | 12.4568 | + | 2.19647i | 0.485248 | + | 0.0855623i | 0.410920 | − | 0.911672i | \(-0.365208\pi\) |
0.0743281 | + | 0.997234i | \(0.476319\pi\) | |||||||
\(660\) | −1.26814 | − | 9.19311i | −0.0493621 | − | 0.357841i | ||||
\(661\) | 21.3936 | + | 25.4959i | 0.832115 | + | 0.991677i | 0.999983 | + | 0.00586698i | \(0.00186753\pi\) |
−0.167867 | + | 0.985810i | \(0.553688\pi\) | |||||||
\(662\) | 30.8816 | + | 36.8033i | 1.20025 | + | 1.43040i | ||||
\(663\) | −1.88984 | − | 0.769150i | −0.0733953 | − | 0.0298713i | ||||
\(664\) | −5.01139 | − | 0.883643i | −0.194479 | − | 0.0342920i | ||||
\(665\) | −0.734472 | − | 7.24830i | −0.0284816 | − | 0.281077i | ||||
\(666\) | 5.66696 | + | 20.1499i | 0.219590 | + | 0.780793i | ||||
\(667\) | 3.65803 | 0.141639 | ||||||||
\(668\) | 27.4168 | − | 9.97890i | 1.06079 | − | 0.386095i | ||||
\(669\) | −8.32407 | − | 7.53351i | −0.321827 | − | 0.291262i | ||||
\(670\) | 0.140824 | + | 0.167828i | 0.00544051 | + | 0.00648375i | ||||
\(671\) | 50.1446 | − | 42.0763i | 1.93581 | − | 1.62434i | ||||
\(672\) | −20.4903 | − | 30.7936i | −0.790432 | − | 1.18789i | ||||
\(673\) | 21.0468 | − | 7.66040i | 0.811294 | − | 0.295287i | 0.0971357 | − | 0.995271i | \(-0.469032\pi\) |
0.714158 | + | 0.699984i | \(0.246810\pi\) | |||||||
\(674\) | 49.7797 | − | 28.7403i | 1.91744 | − | 1.10704i | ||||
\(675\) | −24.2720 | − | 7.16107i | −0.934231 | − | 0.275630i | ||||
\(676\) | 13.5706 | − | 23.5051i | 0.521948 | − | 0.904040i | ||||
\(677\) | 35.4418 | + | 29.7392i | 1.36214 | + | 1.14297i | 0.975316 | + | 0.220814i | \(0.0708714\pi\) |
0.386821 | + | 0.922155i | \(0.373573\pi\) | |||||||
\(678\) | 45.3376 | + | 28.4909i | 1.74118 | + | 1.09419i | ||||
\(679\) | −15.2422 | − | 14.8296i | −0.584941 | − | 0.569108i | ||||
\(680\) | 0.261982 | − | 0.0461946i | 0.0100466 | − | 0.00177148i | ||||
\(681\) | 8.06203 | − | 8.90805i | 0.308938 | − | 0.341357i | ||||
\(682\) | 25.9837 | + | 71.3896i | 0.994968 | + | 2.73365i | ||||
\(683\) | −7.53532 | + | 4.35052i | −0.288331 | + | 0.166468i | −0.637189 | − | 0.770708i | \(-0.719903\pi\) |
0.348858 | + | 0.937176i | \(0.386570\pi\) | |||||||
\(684\) | 54.2262 | − | 5.42024i | 2.07339 | − | 0.207248i | ||||
\(685\) | 3.03920 | − | 1.75468i | 0.116122 | − | 0.0670431i | ||||
\(686\) | 23.5103 | + | 30.7968i | 0.897628 | + | 1.17583i | ||||
\(687\) | 4.36835 | + | 31.6675i | 0.166663 | + | 1.20819i | ||||
\(688\) | 2.13828 | + | 12.1268i | 0.0815210 | + | 0.462329i | ||||
\(689\) | 3.34695 | − | 2.80842i | 0.127509 | − | 0.106992i | ||||
\(690\) | 0.841577 | − | 2.06780i | 0.0320383 | − | 0.0787196i | ||||
\(691\) | 3.89200 | + | 10.6932i | 0.148059 | + | 0.406787i | 0.991446 | − | 0.130519i | \(-0.0416642\pi\) |
−0.843387 | + | 0.537306i | \(0.819442\pi\) | |||||||
\(692\) | −25.0940 | − | 43.4641i | −0.953932 | − | 1.65226i | ||||
\(693\) | 48.6734 | − | 9.89754i | 1.84895 | − | 0.375977i | ||||
\(694\) | 10.4314 | − | 18.0677i | 0.395971 | − | 0.685841i | ||||
\(695\) | 0.0461492 | + | 0.00813736i | 0.00175054 | + | 0.000308667i | ||||
\(696\) | 2.85361 | + | 0.614154i | 0.108166 | + | 0.0232795i | ||||
\(697\) | 8.12259 | + | 2.95638i | 0.307665 | + | 0.111981i | ||||
\(698\) | −54.9194 | − | 19.9890i | −2.07873 | − | 0.756596i | ||||
\(699\) | 22.1734 | − | 35.2846i | 0.838676 | − | 1.33459i | ||||
\(700\) | 25.3239 | + | 17.2191i | 0.957155 | + | 0.650822i | ||||
\(701\) | − | 19.8586i | − | 0.750050i | −0.927015 | − | 0.375025i | \(-0.877634\pi\) | ||
0.927015 | − | 0.375025i | \(-0.122366\pi\) | |||||||
\(702\) | −12.5242 | + | 5.46183i | −0.472695 | + | 0.206144i | ||||
\(703\) | −22.0766 | − | 12.7459i | −0.832634 | − | 0.480722i | ||||
\(704\) | 65.7918 | + | 11.6009i | 2.47962 | + | 0.437224i | ||||
\(705\) | −2.78314 | + | 1.47074i | −0.104819 | + | 0.0553913i | ||||
\(706\) | −31.7753 | − | 37.8683i | −1.19588 | − | 1.42519i | ||||
\(707\) | −36.5211 | − | 9.25072i | −1.37352 | − | 0.347909i | ||||
\(708\) | −25.7193 | − | 5.53532i | −0.966590 | − | 0.208030i | ||||
\(709\) | 3.55338 | − | 20.1522i | 0.133450 | − | 0.756831i | −0.842477 | − | 0.538733i | \(-0.818903\pi\) |
0.975927 | − | 0.218099i | \(-0.0699855\pi\) | |||||||
\(710\) | 1.82024 | + | 3.15275i | 0.0683125 | + | 0.118321i | ||||
\(711\) | −22.1684 | − | 21.6271i | −0.831379 | − | 0.811079i | ||||
\(712\) | −3.49619 | − | 2.01852i | −0.131025 | − | 0.0756474i | ||||
\(713\) | −1.72335 | + | 9.77363i | −0.0645402 | + | 0.366025i | ||||
\(714\) | 2.11887 | + | 8.73162i | 0.0792968 | + | 0.326773i | ||||
\(715\) | −2.66274 | − | 0.969157i | −0.0995807 | − | 0.0362444i | ||||
\(716\) | −21.9866 | + | 3.87682i | −0.821676 | + | 0.144884i | ||||
\(717\) | −7.58071 | + | 5.89166i | −0.283107 | + | 0.220028i | ||||
\(718\) | 0.0477531 | + | 0.0400696i | 0.00178213 | + | 0.00149538i | ||||
\(719\) | 11.1854 | − | 19.3737i | 0.417146 | − | 0.722518i | −0.578505 | − | 0.815679i | \(-0.696364\pi\) |
0.995651 | + | 0.0931608i | \(0.0296971\pi\) | |||||||
\(720\) | −1.89067 | + | 2.77246i | −0.0704610 | + | 0.103323i | ||||
\(721\) | 1.70656 | + | 16.8416i | 0.0635557 | + | 0.627214i | ||||
\(722\) | −53.0123 | + | 63.1776i | −1.97291 | + | 2.35123i | ||||
\(723\) | −3.71495 | + | 17.2612i | −0.138161 | + | 0.641950i | ||||
\(724\) | −7.56006 | + | 20.7711i | −0.280967 | + | 0.771951i | ||||
\(725\) | 10.2589 | − | 1.80893i | 0.381007 | − | 0.0671818i | ||||
\(726\) | −54.2917 | + | 86.3943i | −2.01495 | + | 3.20639i | ||||
\(727\) | −2.58356 | − | 7.09828i | −0.0958190 | − | 0.263261i | 0.882518 | − | 0.470278i | \(-0.155846\pi\) |
−0.978337 | + | 0.207018i | \(0.933624\pi\) | |||||||
\(728\) | 2.60675 | − | 0.264143i | 0.0966126 | − | 0.00978978i | ||||
\(729\) | −26.3211 | − | 6.01659i | −0.974856 | − | 0.222837i | ||||
\(730\) | 1.39086 | + | 2.40904i | 0.0514781 | + | 0.0891627i | ||||
\(731\) | 0.645434 | − | 3.66044i | 0.0238722 | − | 0.135386i | ||||
\(732\) | 43.0293 | + | 1.61237i | 1.59041 | + | 0.0595948i | ||||
\(733\) | 5.82499 | − | 16.0040i | 0.215151 | − | 0.591123i | −0.784425 | − | 0.620223i | \(-0.787042\pi\) |
0.999576 | + | 0.0291005i | \(0.00926428\pi\) | |||||||
\(734\) | 5.69560 | + | 32.3013i | 0.210228 | + | 1.19226i | ||||
\(735\) | 2.22174 | − | 3.76067i | 0.0819501 | − | 0.138715i | ||||
\(736\) | 10.5742 | + | 8.87281i | 0.389770 | + | 0.327056i | ||||
\(737\) | − | 1.81905i | − | 0.0670054i | ||||||
\(738\) | 52.1543 | − | 25.1093i | 1.91983 | − | 0.924284i | ||||
\(739\) | 6.98225 | 0.256846 | 0.128423 | − | 0.991719i | \(-0.459008\pi\) | ||||
0.128423 | + | 0.991719i | \(0.459008\pi\) | |||||||
\(740\) | −2.68333 | + | 0.976651i | −0.0986411 | + | 0.0359024i | ||||
\(741\) | 6.27276 | − | 15.4125i | 0.230436 | − | 0.566191i | ||||
\(742\) | −18.6511 | − | 4.72428i | −0.684703 | − | 0.173434i | ||||
\(743\) | −0.493042 | + | 1.35462i | −0.0180880 | + | 0.0496962i | −0.948408 | − | 0.317052i | \(-0.897307\pi\) |
0.930320 | + | 0.366749i | \(0.119529\pi\) | |||||||
\(744\) | −2.98530 | + | 7.33502i | −0.109446 | + | 0.268915i | ||||
\(745\) | 3.33143 | − | 3.97024i | 0.122054 | − | 0.145458i | ||||
\(746\) | − | 32.0603i | − | 1.17381i | ||||||
\(747\) | −18.6524 | + | 5.24580i | −0.682456 | + | 0.191934i | ||||
\(748\) | −12.0712 | − | 6.96930i | −0.441366 | − | 0.254823i | ||||
\(749\) | −8.57408 | − | 0.631740i | −0.313290 | − | 0.0230833i | ||||
\(750\) | 2.71097 | − | 12.5962i | 0.0989905 | − | 0.459949i | ||||
\(751\) | −14.3786 | + | 12.0651i | −0.524683 | + | 0.440261i | −0.866261 | − | 0.499592i | \(-0.833483\pi\) |
0.341578 | + | 0.939854i | \(0.389039\pi\) | |||||||
\(752\) | −2.71994 | − | 15.4256i | −0.0991861 | − | 0.562512i | ||||
\(753\) | −30.4713 | − | 19.1487i | −1.11043 | − | 0.697816i | ||||
\(754\) | 3.61531 | − | 4.30855i | 0.131662 | − | 0.156908i | ||||
\(755\) | 7.29709 | 0.265568 | ||||||||
\(756\) | 28.1080 | + | 16.6573i | 1.02228 | + | 0.605821i | ||||
\(757\) | −6.53601 | −0.237555 | −0.118778 | − | 0.992921i | \(-0.537898\pi\) | ||||
−0.118778 | + | 0.992921i | \(0.537898\pi\) | |||||||
\(758\) | 24.1458 | − | 28.7759i | 0.877017 | − | 1.04519i | ||||
\(759\) | −16.3887 | + | 8.66057i | −0.594874 | + | 0.314359i | ||||
\(760\) | 0.376737 | + | 2.13658i | 0.0136657 | + | 0.0775020i | ||||
\(761\) | −2.71646 | + | 2.27938i | −0.0984717 | + | 0.0826276i | −0.690694 | − | 0.723147i | \(-0.742695\pi\) |
0.592223 | + | 0.805774i | \(0.298251\pi\) | |||||||
\(762\) | −48.3636 | + | 15.5782i | −1.75203 | + | 0.564338i | ||||
\(763\) | 30.0329 | − | 14.5095i | 1.08727 | − | 0.525278i | ||||
\(764\) | 18.7848 | + | 10.8454i | 0.679609 | + | 0.392373i | ||||
\(765\) | 0.822499 | − | 0.591202i | 0.0297375 | − | 0.0213750i | ||||
\(766\) | 72.3016i | 2.61236i | ||||||||
\(767\) | −5.16352 | + | 6.15364i | −0.186444 | + | 0.222195i | ||||
\(768\) | −8.92724 | − | 11.4865i | −0.322134 | − | 0.414485i | ||||
\(769\) | 3.05429 | − | 8.39159i | 0.110141 | − | 0.302609i | −0.872361 | − | 0.488862i | \(-0.837412\pi\) |
0.982502 | + | 0.186253i | \(0.0596345\pi\) | |||||||
\(770\) | 3.39466 | + | 12.0076i | 0.122335 | + | 0.432726i | ||||
\(771\) | −43.4964 | + | 6.00008i | −1.56648 | + | 0.216087i | ||||
\(772\) | −7.82767 | + | 2.84904i | −0.281724 | + | 0.102539i | ||||
\(773\) | 1.68056 | 0.0604455 | 0.0302227 | − | 0.999543i | \(-0.490378\pi\) | ||||
0.0302227 | + | 0.999543i | \(0.490378\pi\) | |||||||
\(774\) | −14.5274 | − | 20.2110i | −0.522176 | − | 0.726468i | ||||
\(775\) | 28.2624i | 1.01521i | ||||||||
\(776\) | 4.85124 | + | 4.07068i | 0.174149 | + | 0.146129i | ||||
\(777\) | −6.12853 | − | 14.0009i | −0.219860 | − | 0.502281i | ||||
\(778\) | −0.125481 | − | 0.711640i | −0.00449872 | − | 0.0255135i | ||||
\(779\) | −24.1106 | + | 66.2433i | −0.863851 | + | 2.37341i | ||||
\(780\) | −0.870891 | − | 1.64802i | −0.0311829 | − | 0.0590086i | ||||
\(781\) | 5.24885 | − | 29.7677i | 0.187818 | − | 1.06517i | ||||
\(782\) | −1.67658 | − | 2.90392i | −0.0599543 | − | 0.103844i | ||||
\(783\) | 10.8045 | − | 2.60632i | 0.386120 | − | 0.0931422i | ||||
\(784\) | 14.4222 | + | 16.2601i | 0.515080 | + | 0.580718i | ||||
\(785\) | 0.488767 | + | 1.34288i | 0.0174449 | + | 0.0479293i | ||||
\(786\) | −4.43942 | − | 8.40089i | −0.158349 | − | 0.299650i | ||||
\(787\) | −19.3925 | + | 3.41942i | −0.691268 | + | 0.121889i | −0.508236 | − | 0.861218i | \(-0.669702\pi\) |
−0.183032 | + | 0.983107i | \(0.558591\pi\) | |||||||
\(788\) | −16.0390 | + | 44.0669i | −0.571367 | + | 1.56982i | ||||
\(789\) | −6.54981 | + | 2.10973i | −0.233179 | + | 0.0751084i | ||||
\(790\) | 5.00126 | − | 5.96027i | 0.177937 | − | 0.212057i | ||||
\(791\) | −35.6578 | − | 16.0357i | −1.26785 | − | 0.570164i | ||||
\(792\) | −14.2388 | + | 4.00452i | −0.505954 | + | 0.142295i | ||||
\(793\) | 6.57395 | − | 11.3864i | 0.233448 | − | 0.404343i | ||||
\(794\) | −4.20181 | − | 3.52574i | −0.149117 | − | 0.125124i | ||||
\(795\) | 0.296399 | + | 2.14869i | 0.0105122 | + | 0.0762061i | ||||
\(796\) | 26.0753 | − | 4.59778i | 0.924215 | − | 0.162964i | ||||
\(797\) | −6.04013 | − | 2.19843i | −0.213952 | − | 0.0778723i | 0.232820 | − | 0.972520i | \(-0.425205\pi\) |
−0.446773 | + | 0.894647i | \(0.647427\pi\) | |||||||
\(798\) | −71.2102 | + | 17.2803i | −2.52082 | + | 0.611717i | ||||
\(799\) | −0.821008 | + | 4.65617i | −0.0290452 | + | 0.164723i | ||||
\(800\) | 34.0430 | + | 19.6548i | 1.20360 | + | 0.694900i | ||||
\(801\) | −15.3286 | − | 1.15038i | −0.541610 | − | 0.0406468i | ||||
\(802\) | 18.0593 | + | 31.2797i | 0.637697 | + | 1.10452i | ||||
\(803\) | 4.01068 | − | 22.7457i | 0.141534 | − | 0.802678i | ||||
\(804\) | 0.802933 | − | 0.887192i | 0.0283173 | − | 0.0312888i | ||||
\(805\) | −0.400256 | + | 1.58018i | −0.0141072 | + | 0.0556940i | ||||
\(806\) | 9.80851 | + | 11.6893i | 0.345490 | + | 0.411739i | ||||
\(807\) | 6.89415 | + | 4.33240i | 0.242686 | + | 0.152508i | ||||
\(808\) | 11.0487 | + | 1.94819i | 0.388693 | + | 0.0685371i | ||||
\(809\) | 18.3341 | + | 10.5852i | 0.644592 | + | 0.372155i | 0.786381 | − | 0.617741i | \(-0.211952\pi\) |
−0.141789 | + | 0.989897i | \(0.545285\pi\) | |||||||
\(810\) | 1.01242 | − | 6.70712i | 0.0355727 | − | 0.235664i | ||||
\(811\) | 36.0138i | 1.26461i | 0.774718 | + | 0.632307i | \(0.217892\pi\) | ||||
−0.774718 | + | 0.632307i | \(0.782108\pi\) | |||||||
\(812\) | −13.4133 | − | 0.988292i | −0.470713 | − | 0.0346823i | ||||
\(813\) | 6.96154 | + | 13.1736i | 0.244152 | + | 0.462018i | ||||
\(814\) | 41.0287 | + | 14.9332i | 1.43805 | + | 0.523409i | ||||
\(815\) | −5.86254 | − | 2.13379i | −0.205356 | − | 0.0747435i | ||||
\(816\) | 1.54532 | + | 4.79755i | 0.0540969 | + | 0.167948i | ||||
\(817\) | 29.8525 | + | 5.26380i | 1.04441 | + | 0.184157i | ||||
\(818\) | −24.1511 | + | 41.8310i | −0.844424 | + | 1.46259i | ||||
\(819\) | 8.50686 | − | 5.21181i | 0.297254 | − | 0.182116i | ||||
\(820\) | 3.94832 | + | 6.83869i | 0.137881 | + | 0.238818i | ||||
\(821\) | −9.84670 | − | 27.0536i | −0.343652 | − | 0.944177i | −0.984325 | − | 0.176363i | \(-0.943567\pi\) |
0.640673 | − | 0.767814i | \(-0.278656\pi\) | |||||||
\(822\) | −21.6603 | − | 27.8700i | −0.755489 | − | 0.972076i | ||||
\(823\) | −15.0019 | + | 12.5881i | −0.522933 | + | 0.438793i | −0.865653 | − | 0.500645i | \(-0.833096\pi\) |
0.342720 | + | 0.939438i | \(0.388652\pi\) | |||||||
\(824\) | −0.875358 | − | 4.96440i | −0.0304945 | − | 0.172943i | ||||
\(825\) | −41.6795 | + | 32.3930i | −1.45109 | + | 1.12778i | ||||
\(826\) | 35.2789 | + | 2.59936i | 1.22751 | + | 0.0904432i | ||||
\(827\) | 13.9928 | − | 8.07875i | 0.486577 | − | 0.280925i | −0.236576 | − | 0.971613i | \(-0.576025\pi\) |
0.723153 | + | 0.690687i | \(0.242692\pi\) | |||||||
\(828\) | −11.8160 | − | 3.01008i | −0.410634 | − | 0.104607i | ||||
\(829\) | 27.8116 | − | 16.0570i | 0.965936 | − | 0.557683i | 0.0679412 | − | 0.997689i | \(-0.478357\pi\) |
0.897995 | + | 0.440006i | \(0.145024\pi\) | |||||||
\(830\) | −1.66487 | − | 4.57420i | −0.0577886 | − | 0.158773i | ||||
\(831\) | 8.43620 | + | 26.1908i | 0.292648 | + | 0.908548i | ||||
\(832\) | 13.2147 | − | 2.33011i | 0.458138 | − | 0.0807821i | ||||
\(833\) | −2.41212 | − | 6.10100i | −0.0835751 | − | 0.211387i | ||||
\(834\) | 0.0176490 | − | 0.471000i | 0.000611136 | − | 0.0163094i | ||||
\(835\) | 3.38800 | + | 2.84287i | 0.117247 | + | 0.0983816i | ||||
\(836\) | 56.8377 | − | 98.4458i | 1.96577 | − | 3.40482i | ||||
\(837\) | 1.87350 | + | 30.0956i | 0.0647575 | + | 1.04026i | ||||
\(838\) | 42.0236 | − | 24.2623i | 1.45168 | − | 0.838128i | ||||
\(839\) | −4.91418 | + | 1.78862i | −0.169656 | + | 0.0617499i | −0.425452 | − | 0.904981i | \(-0.639885\pi\) |
0.255795 | + | 0.966731i | \(0.417663\pi\) | |||||||
\(840\) | −0.577538 | + | 1.16549i | −0.0199269 | + | 0.0402132i | ||||
\(841\) | 18.7105 | − | 15.7000i | 0.645190 | − | 0.541379i | ||||
\(842\) | 25.4161 | + | 30.2897i | 0.875895 | + | 1.04385i | ||||
\(843\) | 7.87044 | − | 36.5692i | 0.271072 | − | 1.25951i | ||||
\(844\) | −18.0335 | + | 6.56366i | −0.620739 | + | 0.225931i | ||||
\(845\) | 4.11423 | 0.141534 | ||||||||
\(846\) | 18.4792 | + | 25.7089i | 0.635328 | + | 0.883889i | ||||
\(847\) | 30.5573 | − | 67.9488i | 1.04996 | − | 2.33475i | ||||
\(848\) | −10.6290 | − | 1.87419i | −0.365003 | − | 0.0643598i | ||||
\(849\) | −6.21764 | + | 4.83230i | −0.213389 | + | 0.165844i | ||||
\(850\) | −6.13798 | − | 7.31496i | −0.210531 | − | 0.250901i | ||||
\(851\) | 3.66627 | + | 4.36929i | 0.125678 | + | 0.149777i | ||||
\(852\) | 15.6995 | − | 12.2015i | 0.537857 | − | 0.418018i | ||||
\(853\) | −39.1762 | − | 6.90782i | −1.34137 | − | 0.236519i | −0.543529 | − | 0.839391i | \(-0.682912\pi\) |
−0.797838 | + | 0.602871i | \(0.794023\pi\) | |||||||
\(854\) | −57.6037 | + | 5.83699i | −1.97116 | + | 0.199738i | ||||
\(855\) | 4.82152 | + | 6.70785i | 0.164892 | + | 0.229404i | ||||
\(856\) | 2.56022 | 0.0875065 | ||||||||
\(857\) | 40.7035 | − | 14.8148i | 1.39040 | − | 0.506066i | 0.465088 | − | 0.885264i | \(-0.346023\pi\) |
0.925315 | + | 0.379199i | \(0.123800\pi\) | |||||||
\(858\) | −5.99662 | + | 27.8627i | −0.204721 | + | 0.951217i | ||||
\(859\) | −8.80914 | − | 10.4983i | −0.300564 | − | 0.358198i | 0.594532 | − | 0.804072i | \(-0.297337\pi\) |
−0.895096 | + | 0.445874i | \(0.852893\pi\) | |||||||
\(860\) | 2.60117 | − | 2.18264i | 0.0886993 | − | 0.0744275i | ||||
\(861\) | −35.1867 | + | 23.4135i | −1.19916 | + | 0.797931i | ||||
\(862\) | 79.5171 | − | 28.9419i | 2.70836 | − | 0.985764i | ||||
\(863\) | 24.1671 | − | 13.9529i | 0.822659 | − | 0.474962i | −0.0286735 | − | 0.999589i | \(-0.509128\pi\) |
0.851333 | + | 0.524626i | \(0.175795\pi\) | |||||||
\(864\) | 37.5541 | + | 18.6729i | 1.27762 | + | 0.635266i | ||||
\(865\) | 3.80390 | − | 6.58855i | 0.129336 | − | 0.224017i | ||||
\(866\) | 8.93428 | + | 7.49675i | 0.303599 | + | 0.254750i | ||||
\(867\) | −1.04560 | + | 27.9039i | −0.0355103 | + | 0.947666i | ||||
\(868\) | 8.95976 | − | 35.3724i | 0.304114 | − | 1.20062i | ||||
\(869\) | −63.6205 | + | 11.2180i | −2.15818 | + | 0.380545i | ||||
\(870\) | 0.856075 | + | 2.65775i | 0.0290237 | + | 0.0901060i | ||||
\(871\) | −0.124963 | − | 0.343333i | −0.00423421 | − | 0.0116334i | ||||
\(872\) | −8.60191 | + | 4.96631i | −0.291297 | + | 0.168181i | ||||
\(873\) | 23.3670 | + | 5.95267i | 0.790855 | + | 0.201467i | ||||
\(874\) | 23.6828 | − | 13.6732i | 0.801081 | − | 0.462504i | ||||
\(875\) | −0.691302 | + | 9.38246i | −0.0233703 | + | 0.317185i | ||||
\(876\) | 11.9961 | − | 9.32329i | 0.405312 | − | 0.315005i | ||||
\(877\) | −6.39579 | − | 36.2723i | −0.215970 | − | 1.22483i | −0.879215 | − | 0.476426i | \(-0.841932\pi\) |
0.663244 | − | 0.748403i | \(-0.269179\pi\) | |||||||
\(878\) | −54.7755 | + | 45.9621i | −1.84858 | + | 1.55115i | ||||
\(879\) | 8.40920 | + | 10.8200i | 0.283635 | + | 0.364949i | ||||
\(880\) | 2.39410 | + | 6.57772i | 0.0807049 | + | 0.221735i | ||||
\(881\) | 23.0421 | + | 39.9101i | 0.776309 | + | 1.34461i | 0.934056 | + | 0.357127i | \(0.116244\pi\) |
−0.157747 | + | 0.987480i | \(0.550423\pi\) | |||||||
\(882\) | −40.5238 | − | 16.9679i | −1.36451 | − | 0.571339i | ||||
\(883\) | −18.9002 | + | 32.7361i | −0.636043 | + | 1.10166i | 0.350251 | + | 0.936656i | \(0.386096\pi\) |
−0.986293 | + | 0.165002i | \(0.947237\pi\) | |||||||
\(884\) | −2.75713 | − | 0.486156i | −0.0927322 | − | 0.0163512i | ||||
\(885\) | −1.22268 | − | 3.79589i | −0.0410999 | − | 0.127598i | ||||
\(886\) | −26.1249 | − | 9.50870i | −0.877685 | − | 0.319451i | ||||
\(887\) | −1.27960 | − | 0.465737i | −0.0429648 | − | 0.0156379i | 0.320448 | − | 0.947266i | \(-0.396166\pi\) |
−0.363413 | + | 0.931628i | \(0.618389\pi\) | |||||||
\(888\) | 2.12647 | + | 4.02400i | 0.0713595 | + | 0.135036i | ||||
\(889\) | 33.4057 | − | 16.1389i | 1.12039 | − | 0.541282i | ||||
\(890\) | − | 3.86177i | − | 0.129447i | ||||||
\(891\) | −42.2357 | + | 37.2570i | −1.41495 | + | 1.24816i | ||||
\(892\) | −13.3410 | − | 7.70245i | −0.446691 | − | 0.257897i | ||||
\(893\) | −37.9731 | − | 6.69569i | −1.27072 | − | 0.224063i | ||||
\(894\) | −44.1370 | − | 27.7365i | −1.47616 | − | 0.927646i | ||||
\(895\) | −2.17536 | − | 2.59250i | −0.0727143 | − | 0.0866576i | ||||
\(896\) | −11.7407 | − | 11.4229i | −0.392230 | − | 0.381613i | ||||
\(897\) | −2.49831 | + | 2.76048i | −0.0834163 | + | 0.0921699i | ||||
\(898\) | −4.41537 | + | 25.0408i | −0.147343 | + | 0.835622i | ||||
\(899\) | −6.20631 | − | 10.7496i | −0.206992 | − | 0.358521i | ||||
\(900\) | −34.6264 | − | 2.59865i | −1.15421 | − | 0.0866217i | ||||
\(901\) | 2.82138 | + | 1.62892i | 0.0939937 | + | 0.0542673i | ||||
\(902\) | 20.9665 | − | 118.907i | 0.698109 | − | 3.95917i | ||||
\(903\) | 12.5423 | + | 13.1523i | 0.417383 | + | 0.437681i | ||||
\(904\) | 10.9408 | + | 3.98214i | 0.363887 | + | 0.132444i | ||||
\(905\) | −3.29977 | + | 0.581838i | −0.109688 | + | 0.0193410i | ||||
\(906\) | −10.0293 | − | 72.7058i | −0.333203 | − | 2.41549i | ||||
\(907\) | −24.0479 | − | 20.1786i | −0.798497 | − | 0.670019i | 0.149336 | − | 0.988787i | \(-0.452287\pi\) |
−0.947833 | + | 0.318768i | \(0.896731\pi\) | |||||||
\(908\) | 8.24282 | − | 14.2770i | 0.273548 | − | 0.473798i | ||||
\(909\) | 41.1234 | − | 11.5656i | 1.36398 | − | 0.383605i | ||||
\(910\) | 1.46561 | + | 2.03316i | 0.0485845 | + | 0.0673987i | ||||
\(911\) | −23.0479 | + | 27.4674i | −0.763610 | + | 0.910034i | −0.998070 | − | 0.0620911i | \(-0.980223\pi\) |
0.234461 | + | 0.972126i | \(0.424668\pi\) | |||||||
\(912\) | −39.1261 | + | 12.6027i | −1.29559 | + | 0.417319i | ||||
\(913\) | −13.8234 | + | 37.9795i | −0.457488 | + | 1.25694i | ||||
\(914\) | −29.4857 | + | 5.19913i | −0.975301 | + | 0.171972i | ||||
\(915\) | 3.04965 | + | 5.77097i | 0.100818 | + | 0.190782i | ||||
\(916\) | 15.0022 | + | 41.2183i | 0.495688 | + | 1.36189i | ||||
\(917\) | 4.05697 | + | 5.62801i | 0.133973 | + | 0.185853i | ||||
\(918\) | −7.02102 | − | 7.38255i | −0.231728 | − | 0.243661i | ||||
\(919\) | −10.7450 | − | 18.6110i | −0.354446 | − | 0.613919i | 0.632577 | − | 0.774498i | \(-0.281997\pi\) |
−0.987023 | + | 0.160579i | \(0.948664\pi\) | |||||||
\(920\) | 0.0842934 | − | 0.478052i | 0.00277907 | − | 0.0157609i | ||||
\(921\) | −15.5921 | − | 29.5056i | −0.513777 | − | 0.972241i | ||||
\(922\) | −17.7271 | + | 48.7048i | −0.583811 | + | 1.60401i | ||||
\(923\) | −1.05427 | − | 5.97904i | −0.0347016 | − | 0.196802i | ||||
\(924\) | 62.4342 | − | 27.3289i | 2.05393 | − | 0.899054i | ||||
\(925\) | 12.4427 | + | 10.4407i | 0.409113 | + | 0.343287i | ||||
\(926\) | 36.8818i | 1.21201i | ||||||||
\(927\) | −11.2029 | − | 15.5858i | −0.367952 | − | 0.511906i | ||||
\(928\) | −17.2644 | −0.566733 | ||||||||
\(929\) | 36.9931 | − | 13.4644i | 1.21371 | − | 0.441753i | 0.345718 | − | 0.938338i | \(-0.387635\pi\) |
0.867988 | + | 0.496586i | \(0.165413\pi\) | |||||||
\(930\) | −7.50436 | + | 1.03518i | −0.246078 | + | 0.0339450i | ||||
\(931\) | 49.7564 | − | 19.6719i | 1.63070 | − | 0.644721i | ||||
\(932\) | 19.5572 | − | 53.7330i | 0.640618 | − | 1.76008i | ||||
\(933\) | −14.1266 | − | 18.1765i | −0.462484 | − | 0.595071i | ||||
\(934\) | 4.80188 | − | 5.72266i | 0.157122 | − | 0.187251i | ||||
\(935\) | − | 2.11289i | − | 0.0690990i | ||||||
\(936\) | −2.41239 | + | 1.73399i | −0.0788513 | + | 0.0566773i | ||||
\(937\) | −42.7796 | − | 24.6988i | −1.39755 | − | 0.806875i | −0.403413 | − | 0.915018i | \(-0.632176\pi\) |
−0.994135 | + | 0.108143i | \(0.965510\pi\) | |||||||
\(938\) | −0.904687 | + | 1.33051i | −0.0295391 | + | 0.0434427i | ||||
\(939\) | 24.6597 | − | 7.94305i | 0.804740 | − | 0.259212i | ||||
\(940\) | −3.30876 | + | 2.77638i | −0.107920 | + | 0.0905555i | ||||
\(941\) | 2.65678 | + | 15.0673i | 0.0866085 | + | 0.491181i | 0.996998 | + | 0.0774286i | \(0.0246710\pi\) |
−0.910389 | + | 0.413752i | \(0.864218\pi\) | |||||||
\(942\) | 12.7082 | − | 6.71561i | 0.414056 | − | 0.218806i | ||||
\(943\) | 10.1386 | − | 12.0827i | 0.330159 | − | 0.393468i | ||||
\(944\) | 19.8438 | 0.645862 | ||||||||
\(945\) | −0.0563415 | + | 4.95244i | −0.00183279 | + | 0.161103i | ||||
\(946\) | −51.9193 | −1.68804 | ||||||||
\(947\) | −5.35115 | + | 6.37725i | −0.173889 | + | 0.207233i | −0.845949 | − | 0.533264i | \(-0.820965\pi\) |
0.672060 | + | 0.740497i | \(0.265410\pi\) | |||||||
\(948\) | −35.9809 | − | 22.6110i | −1.16861 | − | 0.734372i | ||||
\(949\) | −0.805572 | − | 4.56862i | −0.0261500 | − | 0.148304i | ||||
\(950\) | 59.6567 | − | 50.0579i | 1.93552 | − | 1.62409i | ||||
\(951\) | −6.04823 | + | 28.1025i | −0.196127 | + | 0.911285i | ||||
\(952\) | 0.849873 | + | 1.75914i | 0.0275445 | + | 0.0570141i | ||||
\(953\) | −11.5050 | − | 6.64241i | −0.372683 | − | 0.215169i | 0.301947 | − | 0.953325i | \(-0.402363\pi\) |
−0.674630 | + | 0.738156i | \(0.735697\pi\) | |||||||
\(954\) | 21.0015 | − | 5.90645i | 0.679948 | − | 0.191228i | ||||
\(955\) | 3.28801i | 0.106398i | ||||||||
\(956\) | −8.46800 | + | 10.0918i | −0.273875 | + | 0.326391i | ||||
\(957\) | 8.73950 | − | 21.4734i | 0.282508 | − | 0.694136i | ||||
\(958\) | 4.59825 | − | 12.6336i | 0.148563 | − | 0.408172i | ||||
\(959\) | 18.4724 | + | 17.9724i | 0.596505 | + | 0.580359i | ||||
\(960\) | −2.51120 | + | 6.17014i | −0.0810487 | + | 0.199140i | ||||
\(961\) | 2.51466 | − | 0.915263i | 0.0811182 | − | 0.0295246i | ||||
\(962\) | 8.76976 | 0.282748 | ||||||||
\(963\) | 8.78350 | − | 4.22875i | 0.283044 | − | 0.136269i | ||||
\(964\) | 24.2270i | 0.780300i | ||||||||
\(965\) | −0.967296 | − | 0.811658i | −0.0311384 | − | 0.0261282i | ||||
\(966\) | 16.2945 | + | 1.81618i | 0.524268 | + | 0.0584345i | ||||
\(967\) | −2.63510 | − | 14.9444i | −0.0847390 | − | 0.480579i | −0.997413 | − | 0.0718894i | \(-0.977097\pi\) |
0.912674 | − | 0.408689i | \(-0.134014\pi\) | |||||||
\(968\) | −7.58827 | + | 20.8486i | −0.243896 | + | 0.670100i | ||||
\(969\) | 12.3990 | + | 0.464607i | 0.398312 | + | 0.0149253i | ||||
\(970\) | −1.05194 | + | 5.96586i | −0.0337758 | + | 0.191552i | ||||
\(971\) | −1.28302 | − | 2.22225i | −0.0411740 | − | 0.0713155i | 0.844704 | − | 0.535234i | \(-0.179776\pi\) |
−0.885878 | + | 0.463918i | \(0.846443\pi\) | |||||||
\(972\) | −37.0447 | − | 0.471842i | −1.18821 | − | 0.0151343i | ||||
\(973\) | 0.0346950 | + | 0.342395i | 0.00111227 | + | 0.0109767i | ||||
\(974\) | −12.6745 | − | 34.8228i | −0.406116 | − | 1.11579i | ||||
\(975\) | −5.64143 | + | 8.97722i | −0.180671 | + | 0.287501i | ||||
\(976\) | −31.9856 | + | 5.63993i | −1.02384 | + | 0.180530i | ||||
\(977\) | −3.81094 | + | 10.4705i | −0.121923 | + | 0.334980i | −0.985607 | − | 0.169053i | \(-0.945929\pi\) |
0.863684 | + | 0.504034i | \(0.168151\pi\) | |||||||
\(978\) | −13.2027 | + | 61.3453i | −0.422177 | + | 1.96161i | ||||
\(979\) | −20.6105 | + | 24.5626i | −0.658714 | + | 0.785025i | ||||
\(980\) | 1.89458 | − | 5.68607i | 0.0605201 | − | 0.181635i | ||||
\(981\) | −21.3082 | + | 31.2461i | −0.680318 | + | 0.997612i | ||||
\(982\) | 12.8223 | − | 22.2090i | 0.409177 | − | 0.708716i | ||||
\(983\) | −36.7166 | − | 30.8089i | −1.17108 | − | 0.982651i | −0.171081 | − | 0.985257i | \(-0.554726\pi\) |
−0.999997 | + | 0.00260591i | \(0.999171\pi\) | |||||||
\(984\) | 9.93768 | − | 7.72349i | 0.316802 | − | 0.246216i | ||||
\(985\) | −7.00062 | + | 1.23440i | −0.223058 | + | 0.0393312i | ||||
\(986\) | 3.94093 | + | 1.43438i | 0.125505 | + | 0.0456800i | ||||
\(987\) | −15.9542 | − | 16.7301i | −0.507827 | − | 0.532524i | ||||
\(988\) | 3.96482 | − | 22.4856i | 0.126138 | − | 0.715362i | ||||
\(989\) | −5.87374 | − | 3.39121i | −0.186774 | − | 0.107834i | ||||
\(990\) | −10.1278 | − | 9.88047i | −0.321881 | − | 0.314022i | ||||
\(991\) | −11.3476 | − | 19.6547i | −0.360470 | − | 0.624352i | 0.627568 | − | 0.778561i | \(-0.284050\pi\) |
−0.988038 | + | 0.154209i | \(0.950717\pi\) | |||||||
\(992\) | 8.13356 | − | 46.1277i | 0.258241 | − | 1.46456i | ||||
\(993\) | 38.8859 | + | 8.36904i | 1.23401 | + | 0.265583i | ||||
\(994\) | −18.6439 | + | 19.1626i | −0.591348 | + | 0.607800i | ||||
\(995\) | 2.57991 | + | 3.07461i | 0.0817885 | + | 0.0974718i | ||||
\(996\) | −23.5063 | + | 12.4218i | −0.744825 | + | 0.393600i | ||||
\(997\) | −19.7591 | − | 3.48405i | −0.625775 | − | 0.110341i | −0.148237 | − | 0.988952i | \(-0.547360\pi\) |
−0.477539 | + | 0.878611i | \(0.658471\pi\) | |||||||
\(998\) | 9.04381 | + | 5.22145i | 0.286277 | + | 0.165282i | ||||
\(999\) | 13.9419 | + | 10.2931i | 0.441102 | + | 0.325658i |
(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 | 189.2.ba.a.101.19 | ✓ | 132 | |
3.2 | odd | 2 | 567.2.ba.a.143.4 | 132 | |||
7.5 | odd | 6 | 189.2.bd.a.47.4 | yes | 132 | ||
21.5 | even | 6 | 567.2.bd.a.467.19 | 132 | |||
27.4 | even | 9 | 567.2.bd.a.17.19 | 132 | |||
27.23 | odd | 18 | 189.2.bd.a.185.4 | yes | 132 | ||
189.131 | even | 18 | inner | 189.2.ba.a.131.19 | yes | 132 | |
189.166 | odd | 18 | 567.2.ba.a.341.4 | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.ba.a.101.19 | ✓ | 132 | 1.1 | even | 1 | trivial | |
189.2.ba.a.131.19 | yes | 132 | 189.131 | even | 18 | inner | |
189.2.bd.a.47.4 | yes | 132 | 7.5 | odd | 6 | ||
189.2.bd.a.185.4 | yes | 132 | 27.23 | odd | 18 | ||
567.2.ba.a.143.4 | 132 | 3.2 | odd | 2 | |||
567.2.ba.a.341.4 | 132 | 189.166 | odd | 18 | |||
567.2.bd.a.17.19 | 132 | 27.4 | even | 9 | |||
567.2.bd.a.467.19 | 132 | 21.5 | even | 6 |