Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [322,2,Mod(83,322)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(322, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 21]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("322.83");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 322 = 2 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 322.k (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.57118294509\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 83.2 | ||
Character | \(\chi\) | \(=\) | 322.83 |
Dual form | 322.2.k.a.97.2 |
$q$-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 \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).
\(n\) | \(185\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{21}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.959493 | + | 0.281733i | −0.678464 | + | 0.199215i | ||||
\(3\) | −1.70070 | + | 1.47367i | −0.981902 | + | 0.850823i | −0.988814 | − | 0.149153i | \(-0.952345\pi\) |
0.00691181 | + | 0.999976i | \(0.497800\pi\) | |||||||
\(4\) | 0.841254 | − | 0.540641i | 0.420627 | − | 0.270320i | ||||
\(5\) | 0.0506866 | + | 0.352533i | 0.0226677 | + | 0.157657i | 0.998011 | − | 0.0630341i | \(-0.0200777\pi\) |
−0.975344 | + | 0.220692i | \(0.929169\pi\) | |||||||
\(6\) | 1.21663 | − | 1.89312i | 0.496689 | − | 0.772863i | ||||
\(7\) | −2.46109 | − | 0.971103i | −0.930204 | − | 0.367042i | ||||
\(8\) | −0.654861 | + | 0.755750i | −0.231528 | + | 0.267198i | ||||
\(9\) | 0.293752 | − | 2.04309i | 0.0979172 | − | 0.681029i | ||||
\(10\) | −0.147953 | − | 0.323973i | −0.0467870 | − | 0.102449i | ||||
\(11\) | 1.11200 | − | 3.78713i | 0.335281 | − | 1.14186i | −0.603505 | − | 0.797359i | \(-0.706230\pi\) |
0.938786 | − | 0.344502i | \(-0.111952\pi\) | |||||||
\(12\) | −0.633998 | + | 2.15920i | −0.183020 | + | 0.623307i | ||||
\(13\) | −4.94840 | + | 2.25986i | −1.37244 | + | 0.626772i | −0.958908 | − | 0.283719i | \(-0.908432\pi\) |
−0.413531 | + | 0.910490i | \(0.635705\pi\) | |||||||
\(14\) | 2.63499 | + | 0.238397i | 0.704230 | + | 0.0637143i | ||||
\(15\) | −0.605719 | − | 0.524859i | −0.156396 | − | 0.135518i | ||||
\(16\) | 0.415415 | − | 0.909632i | 0.103854 | − | 0.227408i | ||||
\(17\) | 0.299955 | + | 0.192770i | 0.0727499 | + | 0.0467535i | 0.576510 | − | 0.817090i | \(-0.304414\pi\) |
−0.503760 | + | 0.863844i | \(0.668050\pi\) | |||||||
\(18\) | 0.293752 | + | 2.04309i | 0.0692379 | + | 0.481560i | ||||
\(19\) | 6.58234 | − | 4.23021i | 1.51009 | − | 0.970477i | 0.516642 | − | 0.856201i | \(-0.327182\pi\) |
0.993449 | − | 0.114275i | \(-0.0364546\pi\) | |||||||
\(20\) | 0.233234 | + | 0.269166i | 0.0521527 | + | 0.0601874i | ||||
\(21\) | 5.61667 | − | 1.97527i | 1.22566 | − | 0.431040i | ||||
\(22\) | 3.94701i | 0.841505i | ||||||||
\(23\) | −1.27171 | − | 4.62415i | −0.265170 | − | 0.964202i | ||||
\(24\) | − | 2.25035i | − | 0.459352i | ||||||
\(25\) | 4.67575 | − | 1.37293i | 0.935151 | − | 0.274585i | ||||
\(26\) | 4.11128 | − | 3.56244i | 0.806288 | − | 0.698652i | ||||
\(27\) | −1.13865 | − | 1.77178i | −0.219134 | − | 0.340978i | ||||
\(28\) | −2.59542 | + | 0.513622i | −0.490488 | + | 0.0970654i | ||||
\(29\) | −4.56067 | − | 2.93096i | −0.846895 | − | 0.544266i | 0.0437102 | − | 0.999044i | \(-0.486082\pi\) |
−0.890605 | + | 0.454778i | \(0.849719\pi\) | |||||||
\(30\) | 0.729053 | + | 0.332947i | 0.133106 | + | 0.0607876i | ||||
\(31\) | −2.36517 | − | 2.04943i | −0.424797 | − | 0.368089i | 0.416068 | − | 0.909334i | \(-0.363408\pi\) |
−0.840865 | + | 0.541245i | \(0.817953\pi\) | |||||||
\(32\) | −0.142315 | + | 0.989821i | −0.0251579 | + | 0.174977i | ||||
\(33\) | 3.68979 | + | 8.07950i | 0.642309 | + | 1.40646i | ||||
\(34\) | −0.342115 | − | 0.100454i | −0.0586722 | − | 0.0172277i | ||||
\(35\) | 0.217601 | − | 0.916836i | 0.0367813 | − | 0.154974i | ||||
\(36\) | −0.857457 | − | 1.87757i | −0.142909 | − | 0.312928i | ||||
\(37\) | 7.71567 | + | 1.10935i | 1.26845 | + | 0.182375i | 0.743487 | − | 0.668750i | \(-0.233170\pi\) |
0.524962 | + | 0.851126i | \(0.324080\pi\) | |||||||
\(38\) | −5.12392 | + | 5.91332i | −0.831209 | + | 0.959266i | ||||
\(39\) | 5.08548 | − | 11.1356i | 0.814328 | − | 1.78313i | ||||
\(40\) | −0.299619 | − | 0.192553i | −0.0473739 | − | 0.0304454i | ||||
\(41\) | −4.14319 | + | 0.595701i | −0.647058 | + | 0.0930328i | −0.458027 | − | 0.888938i | \(-0.651444\pi\) |
−0.189031 | + | 0.981971i | \(0.560535\pi\) | |||||||
\(42\) | −4.83266 | + | 3.47766i | −0.745695 | + | 0.536614i | ||||
\(43\) | −2.04884 | + | 1.77533i | −0.312445 | + | 0.270735i | −0.796939 | − | 0.604059i | \(-0.793549\pi\) |
0.484495 | + | 0.874794i | \(0.339004\pi\) | |||||||
\(44\) | −1.11200 | − | 3.78713i | −0.167640 | − | 0.570931i | ||||
\(45\) | 0.735144 | 0.109589 | ||||||||
\(46\) | 2.52297 | + | 4.07856i | 0.371992 | + | 0.601350i | ||||
\(47\) | − | 12.5685i | − | 1.83330i | −0.399693 | − | 0.916649i | \(-0.630883\pi\) | ||
0.399693 | − | 0.916649i | \(-0.369117\pi\) | |||||||
\(48\) | 0.633998 | + | 2.15920i | 0.0915098 | + | 0.311654i | ||||
\(49\) | 5.11392 | + | 4.77994i | 0.730560 | + | 0.682849i | ||||
\(50\) | −4.09956 | + | 2.63462i | −0.579765 | + | 0.372592i | ||||
\(51\) | −0.794214 | + | 0.114191i | −0.111212 | + | 0.0159899i | ||||
\(52\) | −2.94108 | + | 4.57642i | −0.407855 | + | 0.634635i | ||||
\(53\) | −7.68644 | − | 3.51028i | −1.05581 | − | 0.482174i | −0.189607 | − | 0.981860i | \(-0.560721\pi\) |
−0.866206 | + | 0.499686i | \(0.833449\pi\) | |||||||
\(54\) | 1.59169 | + | 1.37921i | 0.216602 | + | 0.187687i | ||||
\(55\) | 1.39145 | + | 0.200060i | 0.187623 | + | 0.0269761i | ||||
\(56\) | 2.34558 | − | 1.22403i | 0.313441 | − | 0.163568i | ||||
\(57\) | −4.96068 | + | 16.8945i | −0.657058 | + | 2.23773i | ||||
\(58\) | 5.20168 | + | 1.52735i | 0.683013 | + | 0.200551i | ||||
\(59\) | −5.12076 | + | 2.33857i | −0.666666 | + | 0.304456i | −0.719851 | − | 0.694129i | \(-0.755790\pi\) |
0.0531853 | + | 0.998585i | \(0.483063\pi\) | |||||||
\(60\) | −0.793324 | − | 0.114063i | −0.102418 | − | 0.0147254i | ||||
\(61\) | −7.15317 | + | 8.25520i | −0.915870 | + | 1.05697i | 0.0823063 | + | 0.996607i | \(0.473771\pi\) |
−0.998176 | + | 0.0603634i | \(0.980774\pi\) | |||||||
\(62\) | 2.84676 | + | 1.30007i | 0.361539 | + | 0.165109i | ||||
\(63\) | −2.70700 | + | 4.74296i | −0.341050 | + | 0.597556i | ||||
\(64\) | −0.142315 | − | 0.989821i | −0.0177894 | − | 0.123728i | ||||
\(65\) | −1.04749 | − | 1.62993i | −0.129925 | − | 0.202168i | ||||
\(66\) | −5.81658 | − | 6.71269i | −0.715972 | − | 0.826276i | ||||
\(67\) | 2.18847 | + | 7.45323i | 0.267364 | + | 0.910557i | 0.978281 | + | 0.207282i | \(0.0664616\pi\) |
−0.710918 | + | 0.703275i | \(0.751720\pi\) | |||||||
\(68\) | 0.356558 | 0.0432390 | ||||||||
\(69\) | 8.97727 | + | 5.99023i | 1.08074 | + | 0.721139i | ||||
\(70\) | 0.0495157 | + | 0.941003i | 0.00591826 | + | 0.112471i | ||||
\(71\) | −10.0458 | + | 2.94971i | −1.19222 | + | 0.350067i | −0.816872 | − | 0.576819i | \(-0.804294\pi\) |
−0.375345 | + | 0.926885i | \(0.622476\pi\) | |||||||
\(72\) | 1.35170 | + | 1.55994i | 0.159299 | + | 0.183841i | ||||
\(73\) | −5.30445 | − | 8.25389i | −0.620839 | − | 0.966045i | −0.999184 | − | 0.0403804i | \(-0.987143\pi\) |
0.378345 | − | 0.925665i | \(-0.376493\pi\) | |||||||
\(74\) | −7.71567 | + | 1.10935i | −0.896929 | + | 0.128959i | ||||
\(75\) | −5.92884 | + | 9.22546i | −0.684604 | + | 1.06526i | ||||
\(76\) | 3.25039 | − | 7.11736i | 0.372845 | − | 0.816417i | ||||
\(77\) | −6.41442 | + | 8.24059i | −0.730991 | + | 0.939102i | ||||
\(78\) | −1.74221 | + | 12.1173i | −0.197266 | + | 1.37202i | ||||
\(79\) | −2.42918 | + | 1.10937i | −0.273305 | + | 0.124814i | −0.547353 | − | 0.836902i | \(-0.684364\pi\) |
0.274048 | + | 0.961716i | \(0.411637\pi\) | |||||||
\(80\) | 0.341731 | + | 0.100341i | 0.0382067 | + | 0.0112185i | ||||
\(81\) | 10.4890 | + | 3.07984i | 1.16544 | + | 0.342205i | ||||
\(82\) | 3.80753 | − | 1.73884i | 0.420472 | − | 0.192023i | ||||
\(83\) | −0.216785 | + | 1.50778i | −0.0237953 | + | 0.165500i | −0.998254 | − | 0.0590667i | \(-0.981188\pi\) |
0.974459 | + | 0.224567i | \(0.0720966\pi\) | |||||||
\(84\) | 3.65713 | − | 4.69831i | 0.399026 | − | 0.512627i | ||||
\(85\) | −0.0527539 | + | 0.115515i | −0.00572196 | + | 0.0125294i | ||||
\(86\) | 1.46568 | − | 2.28064i | 0.158048 | − | 0.245928i | ||||
\(87\) | 12.0756 | − | 1.73621i | 1.29464 | − | 0.186141i | ||||
\(88\) | 2.13391 | + | 3.32043i | 0.227476 | + | 0.353959i | ||||
\(89\) | −9.48954 | − | 10.9515i | −1.00589 | − | 1.16086i | −0.986948 | − | 0.161037i | \(-0.948516\pi\) |
−0.0189407 | − | 0.999821i | \(-0.506029\pi\) | |||||||
\(90\) | −0.705366 | + | 0.207114i | −0.0743521 | + | 0.0218317i | ||||
\(91\) | 14.3730 | − | 0.756309i | 1.50670 | − | 0.0792827i | ||||
\(92\) | −3.56984 | − | 3.20254i | −0.372181 | − | 0.333888i | ||||
\(93\) | 7.04265 | 0.730288 | ||||||||
\(94\) | 3.54094 | + | 12.0593i | 0.365220 | + | 1.24383i | ||||
\(95\) | 1.82492 | + | 2.10607i | 0.187233 | + | 0.216079i | ||||
\(96\) | −1.21663 | − | 1.89312i | −0.124172 | − | 0.193216i | ||||
\(97\) | −1.69112 | − | 11.7620i | −0.171707 | − | 1.19425i | −0.875277 | − | 0.483621i | \(-0.839321\pi\) |
0.703571 | − | 0.710625i | \(-0.251588\pi\) | |||||||
\(98\) | −6.25343 | − | 3.14556i | −0.631692 | − | 0.317750i | ||||
\(99\) | −7.41078 | − | 3.38439i | −0.744811 | − | 0.340144i | ||||
\(100\) | 3.19124 | − | 3.68288i | 0.319124 | − | 0.368288i | ||||
\(101\) | 13.4997 | + | 1.94096i | 1.34327 | + | 0.193133i | 0.776173 | − | 0.630520i | \(-0.217158\pi\) |
0.567095 | + | 0.823652i | \(0.308067\pi\) | |||||||
\(102\) | 0.729872 | − | 0.333321i | 0.0722681 | − | 0.0330037i | ||||
\(103\) | −6.64398 | − | 1.95085i | −0.654650 | − | 0.192223i | −0.0624935 | − | 0.998045i | \(-0.519905\pi\) |
−0.592157 | + | 0.805823i | \(0.701723\pi\) | |||||||
\(104\) | 1.53262 | − | 5.21964i | 0.150286 | − | 0.511828i | ||||
\(105\) | 0.981038 | + | 1.87994i | 0.0957395 | + | 0.183463i | ||||
\(106\) | 8.36404 | + | 1.20257i | 0.812388 | + | 0.116804i | ||||
\(107\) | 2.98868 | + | 2.58971i | 0.288927 | + | 0.250356i | 0.787249 | − | 0.616636i | \(-0.211505\pi\) |
−0.498322 | + | 0.866992i | \(0.666050\pi\) | |||||||
\(108\) | −1.91579 | − | 0.874911i | −0.184347 | − | 0.0841884i | ||||
\(109\) | −2.56422 | + | 3.99001i | −0.245608 | + | 0.382174i | −0.942068 | − | 0.335422i | \(-0.891121\pi\) |
0.696460 | + | 0.717596i | \(0.254757\pi\) | |||||||
\(110\) | −1.39145 | + | 0.200060i | −0.132669 | + | 0.0190750i | ||||
\(111\) | −14.7569 | + | 9.48368i | −1.40066 | + | 0.900151i | ||||
\(112\) | −1.90572 | + | 1.83527i | −0.180074 | + | 0.173417i | ||||
\(113\) | 0.984782 | + | 3.35386i | 0.0926405 | + | 0.315505i | 0.992756 | − | 0.120146i | \(-0.0383364\pi\) |
−0.900116 | + | 0.435651i | \(0.856518\pi\) | |||||||
\(114\) | − | 17.6078i | − | 1.64912i | ||||||
\(115\) | 1.56570 | − | 0.682702i | 0.146003 | − | 0.0636623i | ||||
\(116\) | −5.42127 | −0.503353 | ||||||||
\(117\) | 3.16349 | + | 10.7738i | 0.292464 | + | 0.996042i | ||||
\(118\) | 4.25448 | − | 3.68653i | 0.391656 | − | 0.339372i | ||||
\(119\) | −0.551018 | − | 0.765711i | −0.0505117 | − | 0.0701926i | ||||
\(120\) | 0.793324 | − | 0.114063i | 0.0724202 | − | 0.0104125i | ||||
\(121\) | −3.85199 | − | 2.47552i | −0.350181 | − | 0.225047i | ||||
\(122\) | 4.53766 | − | 9.93609i | 0.410821 | − | 0.899572i | ||||
\(123\) | 6.16848 | − | 7.11880i | 0.556193 | − | 0.641881i | ||||
\(124\) | −3.09772 | − | 0.445384i | −0.278183 | − | 0.0399967i | ||||
\(125\) | 1.46077 | + | 3.19863i | 0.130655 | + | 0.286094i | ||||
\(126\) | 1.26110 | − | 5.31348i | 0.112348 | − | 0.473363i | ||||
\(127\) | −2.85940 | − | 0.839596i | −0.253731 | − | 0.0745021i | 0.152394 | − | 0.988320i | \(-0.451302\pi\) |
−0.406124 | + | 0.913818i | \(0.633120\pi\) | |||||||
\(128\) | 0.415415 | + | 0.909632i | 0.0367178 | + | 0.0804009i | ||||
\(129\) | 0.868222 | − | 6.03862i | 0.0764427 | − | 0.531671i | ||||
\(130\) | 1.46426 | + | 1.26879i | 0.128424 | + | 0.111280i | ||||
\(131\) | 2.03886 | + | 0.931118i | 0.178136 | + | 0.0813522i | 0.502487 | − | 0.864585i | \(-0.332418\pi\) |
−0.324351 | + | 0.945937i | \(0.605146\pi\) | |||||||
\(132\) | 7.47215 | + | 4.80206i | 0.650368 | + | 0.417966i | ||||
\(133\) | −20.3077 | + | 4.01880i | −1.76090 | + | 0.348474i | ||||
\(134\) | −4.19963 | − | 6.53476i | −0.362793 | − | 0.564517i | ||||
\(135\) | 0.566895 | − | 0.491217i | 0.0487905 | − | 0.0422772i | ||||
\(136\) | −0.342115 | + | 0.100454i | −0.0293361 | + | 0.00861385i | ||||
\(137\) | − | 15.4518i | − | 1.32013i | −0.751207 | − | 0.660067i | \(-0.770528\pi\) | ||
0.751207 | − | 0.660067i | \(-0.229472\pi\) | |||||||
\(138\) | −10.3013 | − | 3.21839i | −0.876902 | − | 0.273968i | ||||
\(139\) | 1.00553i | 0.0852879i | 0.999090 | + | 0.0426439i | \(0.0135781\pi\) | ||||
−0.999090 | + | 0.0426439i | \(0.986422\pi\) | |||||||
\(140\) | −0.312621 | − | 0.888936i | −0.0264213 | − | 0.0751288i | ||||
\(141\) | 18.5217 | + | 21.3752i | 1.55981 | + | 1.80012i | ||||
\(142\) | 8.80785 | − | 5.66046i | 0.739138 | − | 0.475015i | ||||
\(143\) | 3.05574 | + | 21.2532i | 0.255534 | + | 1.77728i | ||||
\(144\) | −1.73643 | − | 1.11594i | −0.144702 | − | 0.0929946i | ||||
\(145\) | 0.802096 | − | 1.75634i | 0.0666104 | − | 0.145856i | ||||
\(146\) | 7.41498 | + | 6.42511i | 0.613668 | + | 0.531746i | ||||
\(147\) | −15.7413 | − | 0.593042i | −1.29832 | − | 0.0489133i | ||||
\(148\) | 7.09060 | − | 3.23817i | 0.582843 | − | 0.266176i | ||||
\(149\) | 1.35517 | − | 4.61530i | 0.111020 | − | 0.378100i | −0.885174 | − | 0.465260i | \(-0.845961\pi\) |
0.996194 | + | 0.0871598i | \(0.0277791\pi\) | |||||||
\(150\) | 3.08957 | − | 10.5221i | 0.252262 | − | 0.859126i | ||||
\(151\) | −5.43731 | − | 11.9060i | −0.442482 | − | 0.968900i | −0.991136 | − | 0.132851i | \(-0.957587\pi\) |
0.548654 | − | 0.836049i | \(-0.315140\pi\) | |||||||
\(152\) | −1.11353 | + | 7.74480i | −0.0903195 | + | 0.628186i | ||||
\(153\) | 0.481958 | − | 0.556209i | 0.0389640 | − | 0.0449668i | ||||
\(154\) | 3.83295 | − | 9.71394i | 0.308868 | − | 0.782771i | ||||
\(155\) | 0.602610 | − | 0.937679i | 0.0484028 | − | 0.0753162i | ||||
\(156\) | −1.74221 | − | 12.1173i | −0.139488 | − | 0.970162i | ||||
\(157\) | 7.86241 | − | 5.05287i | 0.627489 | − | 0.403263i | −0.187890 | − | 0.982190i | \(-0.560165\pi\) |
0.815379 | + | 0.578927i | \(0.196529\pi\) | |||||||
\(158\) | 2.01824 | − | 1.74881i | 0.160562 | − | 0.139128i | ||||
\(159\) | 18.2454 | − | 5.35732i | 1.44695 | − | 0.424863i | ||||
\(160\) | −0.356158 | −0.0281568 | ||||||||
\(161\) | −1.36073 | + | 12.6154i | −0.107240 | + | 0.994233i | ||||
\(162\) | −10.9318 | −0.858883 | ||||||||
\(163\) | 9.34852 | − | 2.74497i | 0.732233 | − | 0.215003i | 0.105700 | − | 0.994398i | \(-0.466292\pi\) |
0.626533 | + | 0.779395i | \(0.284473\pi\) | |||||||
\(164\) | −3.16341 | + | 2.74111i | −0.247021 | + | 0.214045i | ||||
\(165\) | −2.66127 | + | 1.71029i | −0.207179 | + | 0.133146i | ||||
\(166\) | −0.216785 | − | 1.50778i | −0.0168258 | − | 0.117026i | ||||
\(167\) | −0.0385634 | + | 0.0600059i | −0.00298413 | + | 0.00464340i | −0.842742 | − | 0.538317i | \(-0.819060\pi\) |
0.839758 | + | 0.542960i | \(0.182697\pi\) | |||||||
\(168\) | −2.18533 | + | 5.53832i | −0.168602 | + | 0.427291i | ||||
\(169\) | 10.8665 | − | 12.5406i | 0.835883 | − | 0.964661i | ||||
\(170\) | 0.0180727 | − | 0.125698i | 0.00138611 | − | 0.00964062i | ||||
\(171\) | −6.70912 | − | 14.6909i | −0.513059 | − | 1.12344i | ||||
\(172\) | −0.763777 | + | 2.60119i | −0.0582375 | + | 0.198339i | ||||
\(173\) | −0.459715 | + | 1.56565i | −0.0349515 | + | 0.119034i | −0.975121 | − | 0.221673i | \(-0.928848\pi\) |
0.940170 | + | 0.340707i | \(0.110666\pi\) | |||||||
\(174\) | −11.0973 | + | 5.06798i | −0.841286 | + | 0.384202i | ||||
\(175\) | −12.8407 | − | 1.16175i | −0.970666 | − | 0.0878197i | ||||
\(176\) | −2.98295 | − | 2.58474i | −0.224848 | − | 0.194832i | ||||
\(177\) | 5.26261 | − | 11.5235i | 0.395562 | − | 0.866161i | ||||
\(178\) | 12.1905 | + | 7.83439i | 0.913720 | + | 0.587212i | ||||
\(179\) | −2.45312 | − | 17.0618i | −0.183354 | − | 1.27526i | −0.848761 | − | 0.528777i | \(-0.822651\pi\) |
0.665406 | − | 0.746481i | \(-0.268258\pi\) | |||||||
\(180\) | 0.618443 | − | 0.397449i | 0.0460960 | − | 0.0296241i | ||||
\(181\) | 3.52695 | + | 4.07032i | 0.262156 | + | 0.302544i | 0.871533 | − | 0.490336i | \(-0.163126\pi\) |
−0.609377 | + | 0.792880i | \(0.708581\pi\) | |||||||
\(182\) | −13.5777 | + | 4.77501i | −1.00645 | + | 0.353948i | ||||
\(183\) | − | 24.5811i | − | 1.81709i | ||||||
\(184\) | 4.32749 | + | 2.06708i | 0.319027 | + | 0.152387i | ||||
\(185\) | 2.77626i | 0.204114i | ||||||||
\(186\) | −6.75737 | + | 1.98414i | −0.495474 | + | 0.145484i | ||||
\(187\) | 1.06359 | − | 0.921609i | 0.0777777 | − | 0.0673947i | ||||
\(188\) | −6.79502 | − | 10.5733i | −0.495578 | − | 0.771134i | ||||
\(189\) | 1.08175 | + | 5.46625i | 0.0786854 | + | 0.397611i | ||||
\(190\) | −2.34435 | − | 1.50662i | −0.170077 | − | 0.109302i | ||||
\(191\) | −8.02100 | − | 3.66307i | −0.580379 | − | 0.265050i | 0.103520 | − | 0.994627i | \(-0.466990\pi\) |
−0.683898 | + | 0.729577i | \(0.739717\pi\) | |||||||
\(192\) | 1.70070 | + | 1.47367i | 0.122738 | + | 0.106353i | ||||
\(193\) | −2.27293 | + | 15.8085i | −0.163609 | + | 1.13792i | 0.728152 | + | 0.685416i | \(0.240380\pi\) |
−0.891760 | + | 0.452508i | \(0.850529\pi\) | |||||||
\(194\) | 4.93634 | + | 10.8091i | 0.354409 | + | 0.776047i | ||||
\(195\) | 4.18345 | + | 1.22837i | 0.299583 | + | 0.0879654i | ||||
\(196\) | 6.88633 | + | 1.25635i | 0.491881 | + | 0.0897391i | ||||
\(197\) | 4.51482 | + | 9.88608i | 0.321668 | + | 0.704354i | 0.999524 | − | 0.0308401i | \(-0.00981828\pi\) |
−0.677857 | + | 0.735194i | \(0.737091\pi\) | |||||||
\(198\) | 8.06408 | + | 1.15944i | 0.573089 | + | 0.0823978i | ||||
\(199\) | −12.9438 | + | 14.9379i | −0.917561 | + | 1.05892i | 0.0805048 | + | 0.996754i | \(0.474347\pi\) |
−0.998066 | + | 0.0621675i | \(0.980199\pi\) | |||||||
\(200\) | −2.02438 | + | 4.43277i | −0.143145 | + | 0.313444i | ||||
\(201\) | −14.7055 | − | 9.45067i | −1.03725 | − | 0.666599i | ||||
\(202\) | −13.4997 | + | 1.94096i | −0.949834 | + | 0.136566i | ||||
\(203\) | 8.37794 | + | 11.6422i | 0.588016 | + | 0.817125i | ||||
\(204\) | −0.606399 | + | 0.525448i | −0.0424565 | + | 0.0367887i | ||||
\(205\) | −0.420008 | − | 1.43042i | −0.0293346 | − | 0.0999046i | ||||
\(206\) | 6.92447 | 0.482450 | ||||||||
\(207\) | −9.82111 | + | 1.23987i | −0.682614 | + | 0.0861767i | ||||
\(208\) | 5.44000i | 0.377196i | ||||||||
\(209\) | −8.70078 | − | 29.6321i | −0.601845 | − | 2.04970i | ||||
\(210\) | −1.47094 | − | 1.52740i | −0.101504 | − | 0.105401i | ||||
\(211\) | −10.8072 | + | 6.94538i | −0.744000 | + | 0.478140i | −0.856910 | − | 0.515465i | \(-0.827619\pi\) |
0.112910 | + | 0.993605i | \(0.463983\pi\) | |||||||
\(212\) | −8.36404 | + | 1.20257i | −0.574445 | + | 0.0825927i | ||||
\(213\) | 12.7380 | − | 19.8208i | 0.872796 | − | 1.35810i | ||||
\(214\) | −3.59722 | − | 1.64280i | −0.245901 | − | 0.112299i | ||||
\(215\) | −0.729710 | − | 0.632297i | −0.0497658 | − | 0.0431223i | ||||
\(216\) | 2.08468 | + | 0.299731i | 0.141844 | + | 0.0203941i | ||||
\(217\) | 3.83069 | + | 7.34066i | 0.260044 | + | 0.498317i | ||||
\(218\) | 1.33624 | − | 4.55081i | 0.0905015 | − | 0.308220i | ||||
\(219\) | 21.1848 | + | 6.22042i | 1.43154 | + | 0.420337i | ||||
\(220\) | 1.27872 | − | 0.583973i | 0.0862114 | − | 0.0393714i | ||||
\(221\) | −1.91993 | − | 0.276044i | −0.129148 | − | 0.0185688i | ||||
\(222\) | 11.4873 | − | 13.2570i | 0.770975 | − | 0.889753i | ||||
\(223\) | 24.1994 | + | 11.0515i | 1.62051 | + | 0.740062i | 0.999058 | − | 0.0433912i | \(-0.0138162\pi\) |
0.621451 | + | 0.783453i | \(0.286543\pi\) | |||||||
\(224\) | 1.31147 | − | 2.29784i | 0.0876261 | − | 0.153531i | ||||
\(225\) | −1.43150 | − | 9.95627i | −0.0954331 | − | 0.663752i | ||||
\(226\) | −1.88978 | − | 2.94056i | −0.125707 | − | 0.195603i | ||||
\(227\) | 4.36859 | + | 5.04162i | 0.289953 | + | 0.334624i | 0.881973 | − | 0.471299i | \(-0.156215\pi\) |
−0.592020 | + | 0.805923i | \(0.701669\pi\) | |||||||
\(228\) | 4.96068 | + | 16.8945i | 0.328529 | + | 1.11887i | ||||
\(229\) | 13.8151 | 0.912928 | 0.456464 | − | 0.889742i | \(-0.349116\pi\) | ||||
0.456464 | + | 0.889742i | \(0.349116\pi\) | |||||||
\(230\) | −1.30994 | + | 1.09616i | −0.0863751 | + | 0.0722785i | ||||
\(231\) | −1.23486 | − | 23.4675i | −0.0812481 | − | 1.54405i | ||||
\(232\) | 5.20168 | − | 1.52735i | 0.341507 | − | 0.100275i | ||||
\(233\) | 10.9033 | + | 12.5830i | 0.714297 | + | 0.824342i | 0.990609 | − | 0.136725i | \(-0.0436578\pi\) |
−0.276312 | + | 0.961068i | \(0.589112\pi\) | |||||||
\(234\) | −6.07068 | − | 9.44617i | −0.396853 | − | 0.617515i | ||||
\(235\) | 4.43079 | − | 0.637052i | 0.289033 | − | 0.0415567i | ||||
\(236\) | −3.04353 | + | 4.73582i | −0.198117 | + | 0.308276i | ||||
\(237\) | 2.49648 | − | 5.46653i | 0.162164 | − | 0.355089i | ||||
\(238\) | 0.744424 | + | 0.579455i | 0.0482538 | + | 0.0375605i | ||||
\(239\) | 1.71493 | − | 11.9276i | 0.110930 | − | 0.771532i | −0.856089 | − | 0.516828i | \(-0.827113\pi\) |
0.967019 | − | 0.254704i | \(-0.0819781\pi\) | |||||||
\(240\) | −0.729053 | + | 0.332947i | −0.0470602 | + | 0.0214917i | ||||
\(241\) | 22.7214 | + | 6.67161i | 1.46361 | + | 0.429756i | 0.914018 | − | 0.405674i | \(-0.132963\pi\) |
0.549597 | + | 0.835430i | \(0.314781\pi\) | |||||||
\(242\) | 4.39339 | + | 1.29002i | 0.282418 | + | 0.0829254i | ||||
\(243\) | −16.6300 | + | 7.59465i | −1.06681 | + | 0.487197i | ||||
\(244\) | −1.55453 | + | 10.8120i | −0.0995188 | + | 0.692168i | ||||
\(245\) | −1.42588 | + | 2.04510i | −0.0910960 | + | 0.130657i | ||||
\(246\) | −3.91301 | + | 8.56830i | −0.249485 | + | 0.546295i | ||||
\(247\) | −23.0123 | + | 35.8079i | −1.46424 | + | 2.27840i | ||||
\(248\) | 3.09772 | − | 0.445384i | 0.196705 | − | 0.0282819i | ||||
\(249\) | −1.85327 | − | 2.88375i | −0.117446 | − | 0.182750i | ||||
\(250\) | −2.30275 | − | 2.65752i | −0.145639 | − | 0.168076i | ||||
\(251\) | 6.02371 | − | 1.76872i | 0.380213 | − | 0.111641i | −0.0860408 | − | 0.996292i | \(-0.527422\pi\) |
0.466254 | + | 0.884651i | \(0.345603\pi\) | |||||||
\(252\) | 0.286966 | + | 5.45354i | 0.0180772 | + | 0.343541i | ||||
\(253\) | −18.9264 | − | 0.325923i | −1.18989 | − | 0.0204906i | ||||
\(254\) | 2.98012 | 0.186989 | ||||||||
\(255\) | −0.0805120 | − | 0.274199i | −0.00504186 | − | 0.0171710i | ||||
\(256\) | −0.654861 | − | 0.755750i | −0.0409288 | − | 0.0472343i | ||||
\(257\) | 6.28816 | + | 9.78458i | 0.392245 | + | 0.610345i | 0.980072 | − | 0.198641i | \(-0.0636529\pi\) |
−0.587827 | + | 0.808986i | \(0.700017\pi\) | |||||||
\(258\) | 0.868222 | + | 6.03862i | 0.0540532 | + | 0.375948i | ||||
\(259\) | −17.9117 | − | 10.2229i | −1.11298 | − | 0.635221i | ||||
\(260\) | −1.76241 | − | 0.804866i | −0.109300 | − | 0.0499157i | ||||
\(261\) | −7.32792 | + | 8.45687i | −0.453587 | + | 0.523467i | ||||
\(262\) | −2.21860 | − | 0.318987i | −0.137066 | − | 0.0197071i | ||||
\(263\) | 5.61192 | − | 2.56288i | 0.346046 | − | 0.158034i | −0.234808 | − | 0.972042i | \(-0.575446\pi\) |
0.580854 | + | 0.814008i | \(0.302719\pi\) | |||||||
\(264\) | −8.52238 | − | 2.50240i | −0.524516 | − | 0.154012i | ||||
\(265\) | 0.847889 | − | 2.88764i | 0.0520854 | − | 0.177387i | ||||
\(266\) | 18.3529 | − | 9.57735i | 1.12529 | − | 0.587225i | ||||
\(267\) | 32.2778 | + | 4.64085i | 1.97537 | + | 0.284015i | ||||
\(268\) | 5.87057 | + | 5.08688i | 0.358602 | + | 0.310731i | ||||
\(269\) | −22.7886 | − | 10.4072i | −1.38944 | − | 0.634537i | −0.426561 | − | 0.904459i | \(-0.640275\pi\) |
−0.962882 | + | 0.269921i | \(0.913002\pi\) | |||||||
\(270\) | −0.405540 | + | 0.631032i | −0.0246804 | + | 0.0384034i | ||||
\(271\) | −9.26399 | + | 1.33196i | −0.562747 | + | 0.0809109i | −0.417817 | − | 0.908531i | \(-0.637205\pi\) |
−0.144930 | + | 0.989442i | \(0.546296\pi\) | |||||||
\(272\) | 0.299955 | − | 0.192770i | 0.0181875 | − | 0.0116884i | ||||
\(273\) | −23.3297 | + | 22.4673i | −1.41198 | + | 1.35978i | ||||
\(274\) | 4.35326 | + | 14.8259i | 0.262990 | + | 0.895663i | ||||
\(275\) | − | 19.2344i | − | 1.15988i | ||||||
\(276\) | 10.7907 | + | 0.185823i | 0.649525 | + | 0.0111852i | ||||
\(277\) | 18.3173 | 1.10058 | 0.550290 | − | 0.834974i | \(-0.314517\pi\) | ||||
0.550290 | + | 0.834974i | \(0.314517\pi\) | |||||||
\(278\) | −0.283290 | − | 0.964798i | −0.0169906 | − | 0.0578648i | ||||
\(279\) | −4.88194 | + | 4.23023i | −0.292274 | + | 0.253257i | ||||
\(280\) | 0.550400 | + | 0.764852i | 0.0328927 | + | 0.0457087i | ||||
\(281\) | 3.63436 | − | 0.522542i | 0.216808 | − | 0.0311723i | −0.0330549 | − | 0.999454i | \(-0.510524\pi\) |
0.249863 | + | 0.968281i | \(0.419615\pi\) | |||||||
\(282\) | −23.7936 | − | 15.2912i | −1.41689 | − | 0.910578i | ||||
\(283\) | −4.65000 | + | 10.1821i | −0.276414 | + | 0.605261i | −0.996021 | − | 0.0891200i | \(-0.971595\pi\) |
0.719607 | + | 0.694381i | \(0.244322\pi\) | |||||||
\(284\) | −6.85633 | + | 7.91263i | −0.406848 | + | 0.469528i | ||||
\(285\) | −6.20731 | − | 0.892477i | −0.367689 | − | 0.0528658i | ||||
\(286\) | −8.91967 | − | 19.5314i | −0.527431 | − | 1.15491i | ||||
\(287\) | 10.7752 | + | 2.55739i | 0.636043 | + | 0.150958i | ||||
\(288\) | 1.98049 | + | 0.581523i | 0.116701 | + | 0.0342666i | ||||
\(289\) | −7.00924 | − | 15.3481i | −0.412308 | − | 0.902829i | ||||
\(290\) | −0.274786 | + | 1.91118i | −0.0161360 | + | 0.112228i | ||||
\(291\) | 20.2093 | + | 17.5115i | 1.18469 | + | 1.02654i | ||||
\(292\) | −8.92478 | − | 4.07581i | −0.522283 | − | 0.238519i | ||||
\(293\) | 2.57149 | + | 1.65260i | 0.150228 | + | 0.0965457i | 0.613595 | − | 0.789621i | \(-0.289723\pi\) |
−0.463367 | + | 0.886166i | \(0.653359\pi\) | |||||||
\(294\) | 15.2708 | − | 3.86582i | 0.890609 | − | 0.225459i | ||||
\(295\) | −1.08398 | − | 1.68670i | −0.0631115 | − | 0.0982035i | ||||
\(296\) | −5.89108 | + | 5.10465i | −0.342412 | + | 0.296702i | ||||
\(297\) | −7.97612 | + | 2.34200i | −0.462821 | + | 0.135897i | ||||
\(298\) | 4.81014i | 0.278644i | ||||||||
\(299\) | 16.7428 | + | 20.0082i | 0.968264 | + | 1.15711i | ||||
\(300\) | 10.9663i | 0.633141i | ||||||||
\(301\) | 6.76640 | − | 2.37961i | 0.390009 | − | 0.137158i | ||||
\(302\) | 8.57138 | + | 9.89190i | 0.493228 | + | 0.569215i | ||||
\(303\) | −25.8193 | + | 16.5931i | −1.48328 | + | 0.953246i | ||||
\(304\) | −1.11353 | − | 7.74480i | −0.0638655 | − | 0.444194i | ||||
\(305\) | −3.27280 | − | 2.10330i | −0.187400 | − | 0.120435i | ||||
\(306\) | −0.305733 | + | 0.669462i | −0.0174776 | + | 0.0382706i | ||||
\(307\) | −17.8547 | − | 15.4712i | −1.01902 | − | 0.882986i | −0.0258503 | − | 0.999666i | \(-0.508229\pi\) |
−0.993170 | + | 0.116680i | \(0.962775\pi\) | |||||||
\(308\) | −0.940955 | + | 10.4003i | −0.0536159 | + | 0.592613i | ||||
\(309\) | 14.1743 | − | 6.47321i | 0.806350 | − | 0.368248i | ||||
\(310\) | −0.314025 | + | 1.06947i | −0.0178354 | + | 0.0607419i | ||||
\(311\) | −2.75901 | + | 9.39632i | −0.156449 | + | 0.532817i | −0.999991 | − | 0.00424676i | \(-0.998648\pi\) |
0.843542 | + | 0.537063i | \(0.180466\pi\) | |||||||
\(312\) | 5.08548 | + | 11.1356i | 0.287909 | + | 0.630432i | ||||
\(313\) | 2.66868 | − | 18.5611i | 0.150843 | − | 1.04913i | −0.763969 | − | 0.645253i | \(-0.776752\pi\) |
0.914811 | − | 0.403881i | \(-0.132339\pi\) | |||||||
\(314\) | −6.12037 | + | 7.06329i | −0.345393 | + | 0.398604i | ||||
\(315\) | −1.80926 | − | 0.713901i | −0.101940 | − | 0.0402237i | ||||
\(316\) | −1.44379 | + | 2.24658i | −0.0812194 | + | 0.126380i | ||||
\(317\) | 0.0226976 | + | 0.157865i | 0.00127482 | + | 0.00886659i | 0.990449 | − | 0.137880i | \(-0.0440289\pi\) |
−0.989174 | + | 0.146747i | \(0.953120\pi\) | |||||||
\(318\) | −15.9970 | + | 10.2806i | −0.897065 | + | 0.576508i | ||||
\(319\) | −16.1714 | + | 14.0126i | −0.905424 | + | 0.784554i | ||||
\(320\) | 0.341731 | − | 0.100341i | 0.0191033 | − | 0.00560925i | ||||
\(321\) | −8.89923 | −0.496707 | ||||||||
\(322\) | −2.24856 | − | 12.4878i | −0.125307 | − | 0.695915i | ||||
\(323\) | 2.78986 | 0.155232 | ||||||||
\(324\) | 10.4890 | − | 3.07984i | 0.582721 | − | 0.171102i | ||||
\(325\) | −20.0349 | + | 17.3603i | −1.11133 | + | 0.962977i | ||||
\(326\) | −8.19649 | + | 5.26757i | −0.453962 | + | 0.291743i | ||||
\(327\) | −1.51897 | − | 10.5646i | −0.0839990 | − | 0.584226i | ||||
\(328\) | 2.26301 | − | 3.52132i | 0.124954 | − | 0.194432i | ||||
\(329\) | −12.2053 | + | 30.9321i | −0.672898 | + | 1.70534i | ||||
\(330\) | 2.07162 | − | 2.39078i | 0.114039 | − | 0.131608i | ||||
\(331\) | −1.16379 | + | 8.09436i | −0.0639679 | + | 0.444906i | 0.932516 | + | 0.361127i | \(0.117608\pi\) |
−0.996484 | + | 0.0837790i | \(0.973301\pi\) | |||||||
\(332\) | 0.632793 | + | 1.38562i | 0.0347291 | + | 0.0760460i | ||||
\(333\) | 4.53298 | − | 15.4379i | 0.248406 | − | 0.845993i | ||||
\(334\) | 0.0200957 | − | 0.0684398i | 0.00109959 | − | 0.00374486i | ||||
\(335\) | −2.51658 | + | 1.14928i | −0.137496 | + | 0.0627921i | ||||
\(336\) | 0.536478 | − | 5.92966i | 0.0292673 | − | 0.323489i | ||||
\(337\) | −19.9144 | − | 17.2560i | −1.08481 | − | 0.939992i | −0.0863928 | − | 0.996261i | \(-0.527534\pi\) |
−0.998416 | + | 0.0562693i | \(0.982079\pi\) | |||||||
\(338\) | −6.89322 | + | 15.0940i | −0.374942 | + | 0.821008i | ||||
\(339\) | −6.61730 | − | 4.25268i | −0.359403 | − | 0.230974i | ||||
\(340\) | 0.0180727 | + | 0.125698i | 0.000980129 | + | 0.00681695i | ||||
\(341\) | −10.3915 | + | 6.67823i | −0.562733 | + | 0.361647i | ||||
\(342\) | 10.5763 | + | 12.2057i | 0.571899 | + | 0.660006i | ||||
\(343\) | −7.94400 | − | 16.7300i | −0.428936 | − | 0.903335i | ||||
\(344\) | − | 2.71100i | − | 0.146167i | ||||||
\(345\) | −1.65672 | + | 3.46841i | −0.0891951 | + | 0.186733i | ||||
\(346\) | − | 1.63174i | − | 0.0877230i | ||||||
\(347\) | −27.2634 | + | 8.00525i | −1.46358 | + | 0.429745i | −0.914005 | − | 0.405703i | \(-0.867027\pi\) |
−0.549571 | + | 0.835447i | \(0.685209\pi\) | |||||||
\(348\) | 9.21999 | − | 7.98916i | 0.494243 | − | 0.428264i | ||||
\(349\) | 15.2178 | + | 23.6793i | 0.814588 | + | 1.26752i | 0.960515 | + | 0.278228i | \(0.0897470\pi\) |
−0.145927 | + | 0.989295i | \(0.546617\pi\) | |||||||
\(350\) | 12.6479 | − | 2.50296i | 0.676057 | − | 0.133789i | ||||
\(351\) | 9.63846 | + | 6.19426i | 0.514463 | + | 0.330625i | ||||
\(352\) | 3.59032 | + | 1.63965i | 0.191365 | + | 0.0873934i | ||||
\(353\) | −8.24575 | − | 7.14498i | −0.438877 | − | 0.380289i | 0.407210 | − | 0.913335i | \(-0.366502\pi\) |
−0.846086 | + | 0.533046i | \(0.821047\pi\) | |||||||
\(354\) | −1.80289 | + | 12.5394i | −0.0958226 | + | 0.666461i | ||||
\(355\) | −1.54906 | − | 3.39196i | −0.0822154 | − | 0.180027i | ||||
\(356\) | −13.9039 | − | 4.08257i | −0.736907 | − | 0.216376i | ||||
\(357\) | 2.06552 | + | 0.490230i | 0.109319 | + | 0.0259457i | ||||
\(358\) | 7.16061 | + | 15.6795i | 0.378450 | + | 0.828690i | ||||
\(359\) | 26.2762 | + | 3.77795i | 1.38680 | + | 0.199392i | 0.794961 | − | 0.606660i | \(-0.207491\pi\) |
0.591844 | + | 0.806053i | \(0.298400\pi\) | |||||||
\(360\) | −0.481417 | + | 0.555585i | −0.0253729 | + | 0.0292819i | ||||
\(361\) | 17.5396 | − | 38.4063i | 0.923136 | − | 2.02139i | ||||
\(362\) | −4.53082 | − | 2.91178i | −0.238135 | − | 0.153040i | ||||
\(363\) | 10.1992 | − | 1.46642i | 0.535319 | − | 0.0769672i | ||||
\(364\) | 11.6824 | − | 8.40688i | 0.612326 | − | 0.440640i | ||||
\(365\) | 2.64090 | − | 2.28836i | 0.138231 | − | 0.119778i | ||||
\(366\) | 6.92529 | + | 23.5854i | 0.361991 | + | 1.23283i | ||||
\(367\) | −25.0829 | −1.30932 | −0.654659 | − | 0.755925i | \(-0.727188\pi\) | ||||
−0.654659 | + | 0.755925i | \(0.727188\pi\) | |||||||
\(368\) | −4.73456 | − | 0.764151i | −0.246806 | − | 0.0398341i | ||||
\(369\) | 8.63989i | 0.449775i | ||||||||
\(370\) | −0.782162 | − | 2.66380i | −0.0406627 | − | 0.138484i | ||||
\(371\) | 15.5082 | + | 16.1034i | 0.805144 | + | 0.836048i | ||||
\(372\) | 5.92465 | − | 3.80754i | 0.307179 | − | 0.197412i | ||||
\(373\) | −5.45671 | + | 0.784557i | −0.282538 | + | 0.0406228i | −0.282127 | − | 0.959377i | \(-0.591040\pi\) |
−0.000410959 | 1.00000i | \(0.500131\pi\) | ||||||||
\(374\) | −0.760863 | + | 1.18393i | −0.0393433 | + | 0.0612194i | ||||
\(375\) | −7.19805 | − | 3.28724i | −0.371706 | − | 0.169752i | ||||
\(376\) | 9.49861 | + | 8.23059i | 0.489853 | + | 0.424460i | ||||
\(377\) | 29.1915 | + | 4.19711i | 1.50344 | + | 0.216162i | ||||
\(378\) | −2.57795 | − | 4.94006i | −0.132595 | − | 0.254089i | ||||
\(379\) | 3.58972 | − | 12.2255i | 0.184391 | − | 0.627980i | −0.814467 | − | 0.580210i | \(-0.802970\pi\) |
0.998858 | − | 0.0477697i | \(-0.0152113\pi\) | |||||||
\(380\) | 2.67385 | + | 0.785114i | 0.137166 | + | 0.0402755i | ||||
\(381\) | 6.10028 | − | 2.78591i | 0.312527 | − | 0.142726i | ||||
\(382\) | 8.72809 | + | 1.25491i | 0.446568 | + | 0.0642068i | ||||
\(383\) | 25.5388 | − | 29.4733i | 1.30497 | − | 1.50602i | 0.588177 | − | 0.808732i | \(-0.299846\pi\) |
0.716794 | − | 0.697285i | \(-0.245609\pi\) | |||||||
\(384\) | −2.04699 | − | 0.934831i | −0.104460 | − | 0.0477054i | ||||
\(385\) | −3.23020 | − | 1.84361i | −0.164626 | − | 0.0939589i | ||||
\(386\) | −2.27293 | − | 15.8085i | −0.115689 | − | 0.804634i | ||||
\(387\) | 3.02530 | + | 4.70746i | 0.153785 | + | 0.239294i | ||||
\(388\) | −7.78166 | − | 8.98051i | −0.395054 | − | 0.455916i | ||||
\(389\) | −4.95966 | − | 16.8911i | −0.251465 | − | 0.856411i | −0.984375 | − | 0.176085i | \(-0.943657\pi\) |
0.732910 | − | 0.680326i | \(-0.238162\pi\) | |||||||
\(390\) | −4.36006 | −0.220780 | ||||||||
\(391\) | 0.509939 | − | 1.63219i | 0.0257887 | − | 0.0825432i | ||||
\(392\) | −6.96134 | + | 0.734647i | −0.351601 | + | 0.0371053i | ||||
\(393\) | −4.83967 | + | 1.42105i | −0.244129 | + | 0.0716827i | ||||
\(394\) | −7.11717 | − | 8.21365i | −0.358558 | − | 0.413798i | ||||
\(395\) | −0.514217 | − | 0.800137i | −0.0258730 | − | 0.0402592i | ||||
\(396\) | −8.06408 | + | 1.15944i | −0.405235 | + | 0.0582640i | ||||
\(397\) | 9.87841 | − | 15.3711i | 0.495783 | − | 0.771453i | −0.499720 | − | 0.866187i | \(-0.666564\pi\) |
0.995503 | + | 0.0947337i | \(0.0302000\pi\) | |||||||
\(398\) | 8.21097 | − | 17.9795i | 0.411579 | − | 0.901232i | ||||
\(399\) | 28.6150 | − | 36.7616i | 1.43254 | − | 1.84038i | ||||
\(400\) | 0.693522 | − | 4.82355i | 0.0346761 | − | 0.241177i | ||||
\(401\) | −35.4568 | + | 16.1926i | −1.77063 | + | 0.808618i | −0.789900 | + | 0.613236i | \(0.789868\pi\) |
−0.980727 | + | 0.195383i | \(0.937405\pi\) | |||||||
\(402\) | 16.7724 | + | 4.92482i | 0.836532 | + | 0.245628i | ||||
\(403\) | 16.3352 | + | 4.79646i | 0.813716 | + | 0.238929i | ||||
\(404\) | 12.4060 | − | 5.66564i | 0.617222 | − | 0.281876i | ||||
\(405\) | −0.554095 | + | 3.85382i | −0.0275332 | + | 0.191498i | ||||
\(406\) | −11.3186 | − | 8.81030i | −0.561731 | − | 0.437248i | ||||
\(407\) | 12.7811 | − | 27.9866i | 0.633534 | − | 1.38725i | ||||
\(408\) | 0.433800 | − | 0.675006i | 0.0214763 | − | 0.0334178i | ||||
\(409\) | 25.8688 | − | 3.71937i | 1.27913 | − | 0.183911i | 0.530948 | − | 0.847405i | \(-0.321836\pi\) |
0.748182 | + | 0.663494i | \(0.230927\pi\) | |||||||
\(410\) | 0.805990 | + | 1.25414i | 0.0398050 | + | 0.0619378i | ||||
\(411\) | 22.7708 | + | 26.2789i | 1.12320 | + | 1.29624i | ||||
\(412\) | −6.64398 | + | 1.95085i | −0.327325 | + | 0.0961114i | ||||
\(413\) | 14.8736 | − | 0.782652i | 0.731883 | − | 0.0385118i | ||||
\(414\) | 9.07397 | − | 3.95657i | 0.445961 | − | 0.194455i | ||||
\(415\) | −0.542528 | −0.0266317 | ||||||||
\(416\) | −1.53262 | − | 5.21964i | −0.0751431 | − | 0.255914i | ||||
\(417\) | −1.48182 | − | 1.71011i | −0.0725649 | − | 0.0837444i | ||||
\(418\) | 16.6967 | + | 25.9805i | 0.816661 | + | 1.27075i | ||||
\(419\) | −3.64250 | − | 25.3341i | −0.177948 | − | 1.23765i | −0.861502 | − | 0.507754i | \(-0.830476\pi\) |
0.683554 | − | 0.729900i | \(-0.260433\pi\) | |||||||
\(420\) | 1.84167 | + | 1.05112i | 0.0898645 | + | 0.0512893i | ||||
\(421\) | 9.45139 | + | 4.31630i | 0.460632 | + | 0.210364i | 0.632195 | − | 0.774809i | \(-0.282154\pi\) |
−0.171562 | + | 0.985173i | \(0.554882\pi\) | |||||||
\(422\) | 8.41272 | − | 9.70879i | 0.409525 | − | 0.472617i | ||||
\(423\) | −25.6785 | − | 3.69201i | −1.24853 | − | 0.179511i | ||||
\(424\) | 7.68644 | − | 3.51028i | 0.373286 | − | 0.170474i | ||||
\(425\) | 1.66718 | + | 0.489527i | 0.0808699 | + | 0.0237456i | ||||
\(426\) | −6.63790 | + | 22.6066i | −0.321607 | + | 1.09529i | ||||
\(427\) | 25.6212 | − | 13.3703i | 1.23990 | − | 0.647035i | ||||
\(428\) | 3.91434 | + | 0.562797i | 0.189207 | + | 0.0272038i | ||||
\(429\) | −36.5170 | − | 31.6422i | −1.76306 | − | 1.52770i | ||||
\(430\) | 0.878290 | + | 0.401102i | 0.0423549 | + | 0.0193428i | ||||
\(431\) | −12.9551 | + | 20.1585i | −0.624024 | + | 0.971000i | 0.375008 | + | 0.927021i | \(0.377640\pi\) |
−0.999032 | + | 0.0439789i | \(0.985997\pi\) | |||||||
\(432\) | −2.08468 | + | 0.299731i | −0.100299 | + | 0.0144208i | ||||
\(433\) | −0.0893022 | + | 0.0573910i | −0.00429159 | + | 0.00275804i | −0.542785 | − | 0.839872i | \(-0.682630\pi\) |
0.538493 | + | 0.842630i | \(0.318994\pi\) | |||||||
\(434\) | −5.74362 | − | 5.96408i | −0.275703 | − | 0.286285i | ||||
\(435\) | 1.22414 | + | 4.16905i | 0.0586931 | + | 0.199890i | ||||
\(436\) | 4.74293i | 0.227145i | ||||||||
\(437\) | −27.9320 | − | 25.0581i | −1.33617 | − | 1.19869i | ||||
\(438\) | −22.0792 | −1.05498 | ||||||||
\(439\) | −8.99743 | − | 30.6424i | −0.429424 | − | 1.46248i | −0.835931 | − | 0.548835i | \(-0.815072\pi\) |
0.406507 | − | 0.913648i | \(-0.366747\pi\) | |||||||
\(440\) | −1.06240 | + | 0.920576i | −0.0506480 | + | 0.0438867i | ||||
\(441\) | 11.2681 | − | 9.04407i | 0.536574 | − | 0.430670i | ||||
\(442\) | 1.91993 | − | 0.276044i | 0.0913218 | − | 0.0131301i | ||||
\(443\) | 28.2670 | + | 18.1661i | 1.34301 | + | 0.863098i | 0.997169 | − | 0.0751959i | \(-0.0239582\pi\) |
0.345838 | + | 0.938294i | \(0.387595\pi\) | |||||||
\(444\) | −7.28702 | + | 15.9564i | −0.345827 | + | 0.757255i | ||||
\(445\) | 3.37977 | − | 3.90047i | 0.160217 | − | 0.184900i | ||||
\(446\) | −26.3327 | − | 3.78607i | −1.24689 | − | 0.179276i | ||||
\(447\) | 4.49667 | + | 9.84634i | 0.212685 | + | 0.465716i | ||||
\(448\) | −0.610969 | + | 2.57424i | −0.0288656 | + | 0.121621i | ||||
\(449\) | −0.699891 | − | 0.205506i | −0.0330299 | − | 0.00969845i | 0.265176 | − | 0.964200i | \(-0.414570\pi\) |
−0.298206 | + | 0.954502i | \(0.596388\pi\) | |||||||
\(450\) | 4.17852 | + | 9.14968i | 0.196977 | + | 0.431320i | ||||
\(451\) | −2.35124 | + | 16.3532i | −0.110715 | + | 0.770042i | ||||
\(452\) | 2.64169 | + | 2.28903i | 0.124254 | + | 0.107667i | ||||
\(453\) | 26.7928 | + | 12.2359i | 1.25884 | + | 0.574892i | ||||
\(454\) | −5.61202 | − | 3.60662i | −0.263385 | − | 0.169267i | ||||
\(455\) | 0.995141 | + | 5.02862i | 0.0466529 | + | 0.235745i | ||||
\(456\) | −9.51947 | − | 14.8126i | −0.445790 | − | 0.693663i | ||||
\(457\) | −15.9600 | + | 13.8295i | −0.746580 | + | 0.646915i | −0.942691 | − | 0.333667i | \(-0.891714\pi\) |
0.196112 | + | 0.980582i | \(0.437169\pi\) | |||||||
\(458\) | −13.2555 | + | 3.89217i | −0.619389 | + | 0.181869i | ||||
\(459\) | − | 0.750951i | − | 0.0350514i | ||||||
\(460\) | 0.948058 | − | 1.42081i | 0.0442034 | − | 0.0662456i | ||||
\(461\) | 23.1457i | 1.07800i | 0.842304 | + | 0.539002i | \(0.181199\pi\) | ||||
−0.842304 | + | 0.539002i | \(0.818801\pi\) | |||||||
\(462\) | 7.79641 | + | 22.1690i | 0.362722 | + | 1.03140i | ||||
\(463\) | −7.51361 | − | 8.67117i | −0.349187 | − | 0.402983i | 0.553801 | − | 0.832649i | \(-0.313177\pi\) |
−0.902988 | + | 0.429666i | \(0.858631\pi\) | |||||||
\(464\) | −4.56067 | + | 2.93096i | −0.211724 | + | 0.136067i | ||||
\(465\) | 0.356967 | + | 2.48276i | 0.0165540 | + | 0.115135i | ||||
\(466\) | −14.0067 | − | 9.00153i | −0.648846 | − | 0.416988i | ||||
\(467\) | 2.57244 | − | 5.63287i | 0.119039 | − | 0.260658i | −0.840728 | − | 0.541458i | \(-0.817872\pi\) |
0.959766 | + | 0.280800i | \(0.0905998\pi\) | |||||||
\(468\) | 8.48607 | + | 7.35322i | 0.392269 | + | 0.339903i | ||||
\(469\) | 1.85184 | − | 20.4683i | 0.0855101 | − | 0.945138i | ||||
\(470\) | −4.07184 | + | 1.85955i | −0.187820 | + | 0.0857744i | ||||
\(471\) | −5.92539 | + | 20.1800i | −0.273028 | + | 0.929847i | ||||
\(472\) | 1.58601 | − | 5.40145i | 0.0730019 | − | 0.248622i | ||||
\(473\) | 4.44508 | + | 9.73337i | 0.204385 | + | 0.447541i | ||||
\(474\) | −0.855255 | + | 5.94843i | −0.0392832 | + | 0.273221i | ||||
\(475\) | 24.9696 | − | 28.8165i | 1.14568 | − | 1.32219i | ||||
\(476\) | −0.877520 | − | 0.346254i | −0.0402211 | − | 0.0158705i | ||||
\(477\) | −9.42971 | + | 14.6729i | −0.431757 | + | 0.671827i | ||||
\(478\) | 1.71493 | + | 11.9276i | 0.0784390 | + | 0.545555i | ||||
\(479\) | 20.7553 | − | 13.3386i | 0.948332 | − | 0.609456i | 0.0275864 | − | 0.999619i | \(-0.491218\pi\) |
0.920746 | + | 0.390163i | \(0.127581\pi\) | |||||||
\(480\) | 0.605719 | − | 0.524859i | 0.0276472 | − | 0.0239564i | ||||
\(481\) | −40.6872 | + | 11.9468i | −1.85518 | + | 0.544729i | ||||
\(482\) | −23.6806 | −1.07862 | ||||||||
\(483\) | −16.2767 | − | 23.4603i | −0.740617 | − | 1.06748i | ||||
\(484\) | −4.57887 | −0.208130 | ||||||||
\(485\) | 4.06076 | − | 1.19235i | 0.184390 | − | 0.0541417i | ||||
\(486\) | 13.8167 | − | 11.9722i | 0.626737 | − | 0.543071i | ||||
\(487\) | −2.30547 | + | 1.48163i | −0.104471 | + | 0.0671393i | −0.591833 | − | 0.806061i | \(-0.701596\pi\) |
0.487362 | + | 0.873200i | \(0.337959\pi\) | |||||||
\(488\) | −1.55453 | − | 10.8120i | −0.0703704 | − | 0.489437i | ||||
\(489\) | −11.8539 | + | 18.4450i | −0.536052 | + | 0.834112i | ||||
\(490\) | 0.791948 | − | 2.36398i | 0.0357766 | − | 0.106794i | ||||
\(491\) | −1.09295 | + | 1.26133i | −0.0493239 | + | 0.0569229i | −0.779875 | − | 0.625935i | \(-0.784718\pi\) |
0.730551 | + | 0.682858i | \(0.239263\pi\) | |||||||
\(492\) | 1.34054 | − | 9.32365i | 0.0604361 | − | 0.420343i | ||||
\(493\) | −0.802996 | − | 1.75832i | −0.0361651 | − | 0.0791906i | ||||
\(494\) | 11.9919 | − | 40.8407i | 0.539542 | − | 1.83751i | ||||
\(495\) | 0.817481 | − | 2.78408i | 0.0367430 | − | 0.125135i | ||||
\(496\) | −2.84676 | + | 1.30007i | −0.127823 | + | 0.0583749i | ||||
\(497\) | 27.5881 | + | 2.49600i | 1.23749 | + | 0.111961i | ||||
\(498\) | 2.59065 | + | 2.24481i | 0.116090 | + | 0.100592i | ||||
\(499\) | −0.421913 | + | 0.923861i | −0.0188874 | + | 0.0413577i | −0.918841 | − | 0.394629i | \(-0.870873\pi\) |
0.899953 | + | 0.435986i | \(0.143600\pi\) | |||||||
\(500\) | 2.95818 | + | 1.90111i | 0.132294 | + | 0.0850202i | ||||
\(501\) | −0.0228438 | − | 0.158882i | −0.00102059 | − | 0.00709833i | ||||
\(502\) | −5.28140 | + | 3.39415i | −0.235720 | + | 0.151488i | ||||
\(503\) | −16.8414 | − | 19.4361i | −0.750923 | − | 0.866611i | 0.243734 | − | 0.969842i | \(-0.421628\pi\) |
−0.994657 | + | 0.103231i | \(0.967082\pi\) | |||||||
\(504\) | −1.81178 | − | 5.15179i | −0.0807032 | − | 0.229479i | ||||
\(505\) | 4.85746i | 0.216154i | ||||||||
\(506\) | 18.2515 | − | 5.01945i | 0.811380 | − | 0.223142i | ||||
\(507\) | 37.3414i | 1.65839i | ||||||||
\(508\) | −2.85940 | + | 0.839596i | −0.126865 | + | 0.0372510i | ||||
\(509\) | −9.53513 | + | 8.26224i | −0.422637 | + | 0.366217i | −0.840058 | − | 0.542496i | \(-0.817479\pi\) |
0.417421 | + | 0.908713i | \(0.362934\pi\) | |||||||
\(510\) | 0.154501 | + | 0.240409i | 0.00684143 | + | 0.0106455i | ||||
\(511\) | 5.03936 | + | 25.4647i | 0.222928 | + | 1.12649i | ||||
\(512\) | 0.841254 | + | 0.540641i | 0.0371785 | + | 0.0238932i | ||||
\(513\) | −14.9900 | − | 6.84569i | −0.661823 | − | 0.302245i | ||||
\(514\) | −8.79008 | − | 7.61665i | −0.387714 | − | 0.335956i | ||||
\(515\) | 0.350977 | − | 2.44110i | 0.0154659 | − | 0.107568i | ||||
\(516\) | −2.53433 | − | 5.54941i | −0.111568 | − | 0.244299i | ||||
\(517\) | −47.5983 | − | 13.9761i | −2.09337 | − | 0.614670i | ||||
\(518\) | 20.0663 | + | 4.76251i | 0.881661 | + | 0.209253i | ||||
\(519\) | −1.52540 | − | 3.34017i | −0.0669578 | − | 0.146617i | ||||
\(520\) | 1.91778 | + | 0.275735i | 0.0841001 | + | 0.0120918i | ||||
\(521\) | −7.18402 | + | 8.29081i | −0.314738 | + | 0.363227i | −0.890972 | − | 0.454058i | \(-0.849976\pi\) |
0.576235 | + | 0.817284i | \(0.304521\pi\) | |||||||
\(522\) | 4.64851 | − | 10.1788i | 0.203460 | − | 0.445515i | ||||
\(523\) | 9.12480 | + | 5.86415i | 0.399000 | + | 0.256422i | 0.724718 | − | 0.689045i | \(-0.241970\pi\) |
−0.325719 | + | 0.945467i | \(0.605606\pi\) | |||||||
\(524\) | 2.21860 | − | 0.318987i | 0.0969201 | − | 0.0139350i | ||||
\(525\) | 23.5503 | − | 16.9472i | 1.02782 | − | 0.739635i | ||||
\(526\) | −4.66255 | + | 4.04012i | −0.203297 | + | 0.176158i | ||||
\(527\) | −0.314378 | − | 1.07067i | −0.0136945 | − | 0.0466392i | ||||
\(528\) | 8.88217 | 0.386547 | ||||||||
\(529\) | −19.7655 | + | 11.7612i | −0.859370 | + | 0.511355i | ||||
\(530\) | 3.00955i | 0.130727i | ||||||||
\(531\) | 3.27367 | + | 11.1491i | 0.142065 | + | 0.483830i | ||||
\(532\) | −14.9112 | + | 14.3600i | −0.646482 | + | 0.622585i | ||||
\(533\) | 19.1560 | − | 12.3108i | 0.829736 | − | 0.533239i | ||||
\(534\) | −32.2778 | + | 4.64085i | −1.39680 | + | 0.200829i | ||||
\(535\) | −0.761470 | + | 1.18487i | −0.0329212 | + | 0.0512264i | ||||
\(536\) | −7.06591 | − | 3.22690i | −0.305201 | − | 0.139381i | ||||
\(537\) | 29.3155 | + | 25.4020i | 1.26506 | + | 1.09618i | ||||
\(538\) | 24.7975 | + | 3.56534i | 1.06910 | + | 0.153713i | ||||
\(539\) | 23.7889 | − | 14.0518i | 1.02466 | − | 0.605252i | ||||
\(540\) | 0.211330 | − | 0.719724i | 0.00909420 | − | 0.0309720i | ||||
\(541\) | 9.44827 | + | 2.77426i | 0.406213 | + | 0.119275i | 0.478455 | − | 0.878112i | \(-0.341197\pi\) |
−0.0722416 | + | 0.997387i | \(0.523015\pi\) | |||||||
\(542\) | 8.51348 | − | 3.88798i | 0.365685 | − | 0.167003i | ||||
\(543\) | −11.9966 | − | 1.72485i | −0.514823 | − | 0.0740204i | ||||
\(544\) | −0.233496 | + | 0.269468i | −0.0100110 | + | 0.0115534i | ||||
\(545\) | −1.53658 | − | 0.701733i | −0.0658199 | − | 0.0300589i | ||||
\(546\) | 16.0549 | − | 28.1299i | 0.687086 | − | 1.20385i | ||||
\(547\) | −0.649552 | − | 4.51773i | −0.0277728 | − | 0.193164i | 0.971212 | − | 0.238218i | \(-0.0765632\pi\) |
−0.998985 | + | 0.0450536i | \(0.985654\pi\) | |||||||
\(548\) | −8.35385 | − | 12.9988i | −0.356859 | − | 0.555283i | ||||
\(549\) | 14.7648 | + | 17.0395i | 0.630148 | + | 0.727230i | ||||
\(550\) | 5.41895 | + | 18.4552i | 0.231065 | + | 0.786934i | ||||
\(551\) | −42.4184 | −1.80709 | ||||||||
\(552\) | −10.4060 | + | 2.86180i | −0.442908 | + | 0.121806i | ||||
\(553\) | 7.05575 | − | 0.371274i | 0.300041 | − | 0.0157882i | ||||
\(554\) | −17.5753 | + | 5.16058i | −0.746704 | + | 0.219252i | ||||
\(555\) | −4.09128 | − | 4.72159i | −0.173665 | − | 0.200420i | ||||
\(556\) | 0.543630 | + | 0.845905i | 0.0230551 | + | 0.0358744i | ||||
\(557\) | 0.233117 | − | 0.0335171i | 0.00987747 | − | 0.00142017i | −0.137374 | − | 0.990519i | \(-0.543866\pi\) |
0.147252 | + | 0.989099i | \(0.452957\pi\) | |||||||
\(558\) | 3.49240 | − | 5.43428i | 0.147845 | − | 0.230051i | ||||
\(559\) | 6.12647 | − | 13.4151i | 0.259122 | − | 0.567399i | ||||
\(560\) | −0.743589 | − | 0.578805i | −0.0314224 | − | 0.0244590i | ||||
\(561\) | −0.450712 | + | 3.13477i | −0.0190291 | + | 0.132350i | ||||
\(562\) | −3.33993 | + | 1.52529i | −0.140886 | + | 0.0643406i | ||||
\(563\) | 8.78805 | + | 2.58040i | 0.370372 | + | 0.108751i | 0.461621 | − | 0.887077i | \(-0.347268\pi\) |
−0.0912494 | + | 0.995828i | \(0.529086\pi\) | |||||||
\(564\) | 27.1378 | + | 7.96838i | 1.14271 | + | 0.335529i | ||||
\(565\) | −1.13243 | + | 0.517164i | −0.0476417 | + | 0.0217572i | ||||
\(566\) | 1.59302 | − | 11.0797i | 0.0669595 | − | 0.465714i | ||||
\(567\) | −22.8235 | − | 17.7656i | −0.958496 | − | 0.746087i | ||||
\(568\) | 4.34936 | − | 9.52376i | 0.182495 | − | 0.399608i | ||||
\(569\) | −0.438292 | + | 0.681996i | −0.0183742 | + | 0.0285908i | −0.850319 | − | 0.526267i | \(-0.823591\pi\) |
0.831945 | + | 0.554858i | \(0.187227\pi\) | |||||||
\(570\) | 6.20731 | − | 0.892477i | 0.259996 | − | 0.0373817i | ||||
\(571\) | 6.27740 | + | 9.76782i | 0.262701 | + | 0.408771i | 0.947398 | − | 0.320057i | \(-0.103702\pi\) |
−0.684697 | + | 0.728827i | \(0.740066\pi\) | |||||||
\(572\) | 14.0610 | + | 16.2272i | 0.587919 | + | 0.678495i | ||||
\(573\) | 19.0395 | − | 5.59050i | 0.795386 | − | 0.233546i | ||||
\(574\) | −11.0593 | + | 0.581940i | −0.461605 | + | 0.0242897i | ||||
\(575\) | −12.2948 | − | 19.8754i | −0.512730 | − | 0.828862i | ||||
\(576\) | −2.06410 | −0.0860040 | ||||||||
\(577\) | 0.321950 | + | 1.09646i | 0.0134029 | + | 0.0456462i | 0.965923 | − | 0.258830i | \(-0.0833369\pi\) |
−0.952520 | + | 0.304476i | \(0.901519\pi\) | |||||||
\(578\) | 11.0494 | + | 12.7517i | 0.459594 | + | 0.530399i | ||||
\(579\) | −19.4310 | − | 30.2352i | −0.807524 | − | 1.25653i | ||||
\(580\) | −0.274786 | − | 1.91118i | −0.0114099 | − | 0.0793573i | ||||
\(581\) | 1.99773 | − | 3.50025i | 0.0828799 | − | 0.145215i | ||||
\(582\) | −24.3243 | − | 11.1085i | −1.00827 | − | 0.460463i | ||||
\(583\) | −21.8412 | + | 25.2061i | −0.904570 | + | 1.04393i | ||||
\(584\) | 9.71155 | + | 1.39631i | 0.401867 | + | 0.0577798i | ||||
\(585\) | −3.63779 | + | 1.66132i | −0.150404 | + | 0.0686872i | ||||
\(586\) | −2.93292 | − | 0.861182i | −0.121158 | − | 0.0355751i | ||||
\(587\) | −10.1013 | + | 34.4020i | −0.416927 | + | 1.41992i | 0.436967 | + | 0.899477i | \(0.356052\pi\) |
−0.853895 | + | 0.520446i | \(0.825766\pi\) | |||||||
\(588\) | −13.5631 | + | 8.01150i | −0.559331 | + | 0.330389i | ||||
\(589\) | −24.2379 | − | 3.48488i | −0.998705 | − | 0.143592i | ||||
\(590\) | 1.51527 | + | 1.31299i | 0.0623825 | + | 0.0540547i | ||||
\(591\) | −22.2472 | − | 10.1599i | −0.915127 | − | 0.417924i | ||||
\(592\) | 4.21430 | − | 6.55759i | 0.173207 | − | 0.269515i | ||||
\(593\) | 8.74135 | − | 1.25682i | 0.358964 | − | 0.0516112i | 0.0395264 | − | 0.999219i | \(-0.487415\pi\) |
0.319438 | + | 0.947607i | \(0.396506\pi\) | |||||||
\(594\) | 6.99321 | − | 4.49426i | 0.286935 | − | 0.184402i | ||||
\(595\) | 0.242009 | − | 0.233063i | 0.00992140 | − | 0.00955466i | ||||
\(596\) | −1.35517 | − | 4.61530i | −0.0555101 | − | 0.189050i | ||||
\(597\) | − | 44.4799i | − | 1.82044i | ||||||
\(598\) | −21.7016 | − | 14.4808i | −0.887445 | − | 0.592162i | ||||
\(599\) | −10.0997 | −0.412662 | −0.206331 | − | 0.978482i | \(-0.566152\pi\) | ||||
−0.206331 | + | 0.978482i | \(0.566152\pi\) | |||||||
\(600\) | −3.08957 | − | 10.5221i | −0.126131 | − | 0.429563i | ||||
\(601\) | 20.8309 | − | 18.0501i | 0.849711 | − | 0.736279i | −0.116731 | − | 0.993164i | \(-0.537242\pi\) |
0.966442 | + | 0.256885i | \(0.0826961\pi\) | |||||||
\(602\) | −5.82190 | + | 4.18953i | −0.237283 | + | 0.170753i | ||||
\(603\) | 15.8705 | − | 2.28183i | 0.646295 | − | 0.0929232i | ||||
\(604\) | −11.0110 | − | 7.07637i | −0.448033 | − | 0.287933i | ||||
\(605\) | 0.677459 | − | 1.48343i | 0.0275426 | − | 0.0603099i | ||||
\(606\) | 20.0986 | − | 23.1951i | 0.816451 | − | 0.942235i | ||||
\(607\) | 33.9371 | + | 4.87942i | 1.37746 | + | 0.198049i | 0.790946 | − | 0.611886i | \(-0.209589\pi\) |
0.586519 | + | 0.809936i | \(0.300498\pi\) | |||||||
\(608\) | 3.25039 | + | 7.11736i | 0.131821 | + | 0.288647i | ||||
\(609\) | −31.4052 | − | 7.45369i | −1.27260 | − | 0.302039i | ||||
\(610\) | 3.73280 | + | 1.09605i | 0.151136 | + | 0.0443777i | ||||
\(611\) | 28.4029 | + | 62.1937i | 1.14906 | + | 2.51609i | ||||
\(612\) | 0.104739 | − | 0.728479i | 0.00423384 | − | 0.0294470i | ||||
\(613\) | 11.1666 | + | 9.67589i | 0.451013 | + | 0.390805i | 0.850535 | − | 0.525918i | \(-0.176278\pi\) |
−0.399522 | + | 0.916724i | \(0.630824\pi\) | |||||||
\(614\) | 21.4902 | + | 9.81423i | 0.867272 | + | 0.396070i | ||||
\(615\) | 2.82227 | + | 1.81376i | 0.113805 | + | 0.0731380i | ||||
\(616\) | −2.02727 | − | 10.2441i | −0.0816810 | − | 0.412748i | ||||
\(617\) | 15.6465 | + | 24.3464i | 0.629904 | + | 0.980150i | 0.998717 | + | 0.0506459i | \(0.0161280\pi\) |
−0.368813 | + | 0.929504i | \(0.620236\pi\) | |||||||
\(618\) | −11.7765 | + | 10.2044i | −0.473719 | + | 0.410480i | ||||
\(619\) | 22.2210 | − | 6.52468i | 0.893139 | − | 0.262249i | 0.197211 | − | 0.980361i | \(-0.436812\pi\) |
0.695928 | + | 0.718112i | \(0.254993\pi\) | |||||||
\(620\) | − | 1.11462i | − | 0.0447643i | ||||||
\(621\) | −6.74492 | + | 7.51848i | −0.270664 | + | 0.301706i | ||||
\(622\) | − | 9.79301i | − | 0.392664i | ||||||
\(623\) | 12.7196 | + | 36.1680i | 0.509598 | + | 1.44904i | ||||
\(624\) | −8.01676 | − | 9.25183i | −0.320927 | − | 0.370370i | ||||
\(625\) | 19.4442 | − | 12.4960i | 0.777768 | − | 0.499841i | ||||
\(626\) | 2.66868 | + | 18.5611i | 0.106662 | + | 0.741850i | ||||
\(627\) | 58.4654 | + | 37.5734i | 2.33488 | + | 1.50054i | ||||
\(628\) | 3.88250 | − | 8.50148i | 0.154928 | − | 0.339246i | ||||
\(629\) | 2.10051 | + | 1.82010i | 0.0837528 | + | 0.0725722i | ||||
\(630\) | 1.93710 | + | 0.175256i | 0.0771758 | + | 0.00698238i | ||||
\(631\) | −13.8845 | + | 6.34086i | −0.552735 | + | 0.252426i | −0.672145 | − | 0.740419i | \(-0.734627\pi\) |
0.119410 | + | 0.992845i | \(0.461900\pi\) | |||||||
\(632\) | 0.752370 | − | 2.56234i | 0.0299277 | − | 0.101924i | ||||
\(633\) | 8.14471 | − | 27.7383i | 0.323723 | − | 1.10250i | ||||
\(634\) | −0.0662539 | − | 0.145076i | −0.00263128 | − | 0.00576170i | ||||
\(635\) | 0.151052 | − | 1.05059i | 0.00599431 | − | 0.0416913i | ||||
\(636\) | 12.4526 | − | 14.3710i | 0.493777 | − | 0.569849i | ||||
\(637\) | −36.1077 | − | 12.0963i | −1.43064 | − | 0.479273i | ||||
\(638\) | 11.5685 | − | 18.0010i | 0.458002 | − | 0.712666i | ||||
\(639\) | 3.07555 | + | 21.3909i | 0.121667 | + | 0.846212i | ||||
\(640\) | −0.299619 | + | 0.192553i | −0.0118435 | + | 0.00761134i | ||||
\(641\) | 22.2066 | − | 19.2422i | 0.877110 | − | 0.760020i | −0.0947697 | − | 0.995499i | \(-0.530211\pi\) |
0.971879 | + | 0.235479i | \(0.0756660\pi\) | |||||||
\(642\) | 8.53875 | − | 2.50720i | 0.336998 | − | 0.0989514i | ||||
\(643\) | −39.5726 | −1.56059 | −0.780295 | − | 0.625411i | \(-0.784931\pi\) | ||||
−0.780295 | + | 0.625411i | \(0.784931\pi\) | |||||||
\(644\) | 5.67569 | + | 11.3484i | 0.223653 | + | 0.447190i | ||||
\(645\) | 2.17282 | 0.0855546 | ||||||||
\(646\) | −2.67685 | + | 0.785995i | −0.105319 | + | 0.0309246i | ||||
\(647\) | 10.9682 | − | 9.50400i | 0.431205 | − | 0.373641i | −0.412045 | − | 0.911164i | \(-0.635185\pi\) |
0.843249 | + | 0.537523i | \(0.180640\pi\) | |||||||
\(648\) | −9.19641 | + | 5.91017i | −0.361269 | + | 0.232174i | ||||
\(649\) | 3.16218 | + | 21.9934i | 0.124126 | + | 0.863318i | ||||
\(650\) | 14.3324 | − | 22.3016i | 0.562161 | − | 0.874740i | ||||
\(651\) | −17.3326 | − | 6.83913i | −0.679317 | − | 0.268047i | ||||
\(652\) | 6.38043 | − | 7.36341i | 0.249877 | − | 0.288373i | ||||
\(653\) | 1.40557 | − | 9.77598i | 0.0550044 | − | 0.382564i | −0.943661 | − | 0.330914i | \(-0.892643\pi\) |
0.998665 | − | 0.0516497i | \(-0.0164479\pi\) | |||||||
\(654\) | 4.43384 | + | 9.70876i | 0.173377 | + | 0.379642i | ||||
\(655\) | −0.224907 | + | 0.765962i | −0.00878783 | + | 0.0299286i | ||||
\(656\) | −1.17928 | + | 4.01624i | −0.0460430 | + | 0.156808i | ||||
\(657\) | −18.4216 | + | 8.41287i | −0.718696 | + | 0.328217i | ||||
\(658\) | 2.99629 | − | 33.1178i | 0.116807 | − | 1.29106i | ||||
\(659\) | 30.1938 | + | 26.1631i | 1.17618 | + | 1.01917i | 0.999390 | + | 0.0349201i | \(0.0111177\pi\) |
0.176793 | + | 0.984248i | \(0.443428\pi\) | |||||||
\(660\) | −1.31415 | + | 2.87758i | −0.0511531 | + | 0.112010i | ||||
\(661\) | 4.80122 | + | 3.08556i | 0.186746 | + | 0.120014i | 0.630673 | − | 0.776048i | \(-0.282779\pi\) |
−0.443927 | + | 0.896063i | \(0.646415\pi\) | |||||||
\(662\) | −1.16379 | − | 8.09436i | −0.0452321 | − | 0.314596i | ||||
\(663\) | 3.67203 | − | 2.35987i | 0.142610 | − | 0.0916498i | ||||
\(664\) | −0.997536 | − | 1.15122i | −0.0387119 | − | 0.0446759i | ||||
\(665\) | −2.44609 | − | 6.95542i | −0.0948551 | − | 0.269720i | ||||
\(666\) | 16.0897i | 0.623462i | ||||||||
\(667\) | −7.75335 | + | 24.8165i | −0.300211 | + | 0.960900i | ||||
\(668\) | 0.0713291i | 0.00275981i | ||||||||
\(669\) | −57.4422 | + | 16.8665i | −2.22084 | + | 0.652098i | ||||
\(670\) | 2.09085 | − | 1.81173i | 0.0807766 | − | 0.0699933i | ||||
\(671\) | 23.3092 | + | 36.2698i | 0.899840 | + | 1.40018i | ||||
\(672\) | 1.15583 | + | 5.84061i | 0.0445872 | + | 0.225306i | ||||
\(673\) | −17.9880 | − | 11.5602i | −0.693388 | − | 0.445613i | 0.145901 | − | 0.989299i | \(-0.453392\pi\) |
−0.839289 | + | 0.543686i | \(0.817028\pi\) | |||||||
\(674\) | 23.9693 | + | 10.9464i | 0.923264 | + | 0.421641i | ||||
\(675\) | −7.75657 | − | 6.72111i | −0.298550 | − | 0.258695i | ||||
\(676\) | 2.36151 | − | 16.4247i | 0.0908274 | − | 0.631718i | ||||
\(677\) | −21.3203 | − | 46.6850i | −0.819406 | − | 1.79425i | −0.560027 | − | 0.828474i | \(-0.689209\pi\) |
−0.259379 | − | 0.965776i | \(-0.583518\pi\) | |||||||
\(678\) | 7.54738 | + | 2.21611i | 0.289855 | + | 0.0851092i | ||||
\(679\) | −7.26009 | + | 30.5895i | −0.278617 | + | 1.17392i | ||||
\(680\) | −0.0527539 | − | 0.115515i | −0.00202302 | − | 0.00442980i | ||||
\(681\) | −14.8594 | − | 2.13645i | −0.569412 | − | 0.0818690i | ||||
\(682\) | 8.08913 | − | 9.33535i | 0.309749 | − | 0.357469i | ||||
\(683\) | −1.43306 | + | 3.13796i | −0.0548345 | + | 0.120071i | −0.935066 | − | 0.354474i | \(-0.884660\pi\) |
0.880231 | + | 0.474545i | \(0.157387\pi\) | |||||||
\(684\) | −13.5866 | − | 8.73156i | −0.519496 | − | 0.333860i | ||||
\(685\) | 5.44725 | − | 0.783196i | 0.208129 | − | 0.0299244i | ||||
\(686\) | 12.3356 | + | 13.8142i | 0.470975 | + | 0.527430i | ||||
\(687\) | −23.4954 | + | 20.3589i | −0.896406 | + | 0.776740i | ||||
\(688\) | 0.763777 | + | 2.60119i | 0.0291187 | + | 0.0991693i | ||||
\(689\) | 45.9683 | 1.75125 | ||||||||
\(690\) | 0.612453 | − | 3.79466i | 0.0233157 | − | 0.144460i | ||||
\(691\) | 21.5311i | 0.819083i | 0.912292 | + | 0.409541i | \(0.134311\pi\) | ||||
−0.912292 | + | 0.409541i | \(0.865689\pi\) | |||||||
\(692\) | 0.459715 | + | 1.56565i | 0.0174757 | + | 0.0595169i | ||||
\(693\) | 14.9520 | + | 15.5259i | 0.567979 | + | 0.589780i | ||||
\(694\) | 23.9037 | − | 15.3620i | 0.907372 | − | 0.583132i | ||||
\(695\) | −0.354482 | + | 0.0509668i | −0.0134463 | + | 0.00193328i | ||||
\(696\) | −6.59571 | + | 10.2631i | −0.250010 | + | 0.389022i | ||||
\(697\) | −1.35761 | − | 0.619998i | −0.0514230 | − | 0.0234841i | ||||
\(698\) | −21.2726 | − | 18.4328i | −0.805178 | − | 0.697691i | ||||
\(699\) | −37.0865 | − | 5.33223i | −1.40274 | − | 0.201683i | ||||
\(700\) | −11.4304 | + | 5.96488i | −0.432027 | + | 0.225451i | ||||
\(701\) | −14.4426 | + | 49.1869i | −0.545488 | + | 1.85776i | −0.0323156 | + | 0.999478i | \(0.510288\pi\) |
−0.513173 | + | 0.858285i | \(0.671530\pi\) | |||||||
\(702\) | −10.9932 | − | 3.22788i | −0.414910 | − | 0.121829i | ||||
\(703\) | 55.4799 | − | 25.3368i | 2.09247 | − | 0.955597i | ||||
\(704\) | −3.90683 | − | 0.561718i | −0.147244 | − | 0.0211705i | ||||
\(705\) | −6.59667 | + | 7.61296i | −0.248445 | + | 0.286721i | ||||
\(706\) | 9.92471 | + | 4.53246i | 0.373521 | + | 0.170581i | ||||
\(707\) | −31.3390 | − | 17.8865i | −1.17863 | − | 0.672689i | ||||
\(708\) | −1.80289 | − | 12.5394i | −0.0677568 | − | 0.471259i | ||||
\(709\) | −1.44625 | − | 2.25041i | −0.0543151 | − | 0.0845160i | 0.813034 | − | 0.582216i | \(-0.197814\pi\) |
−0.867349 | + | 0.497700i | \(0.834178\pi\) | |||||||
\(710\) | 2.44194 | + | 2.81814i | 0.0916442 | + | 0.105763i | ||||
\(711\) | 1.55297 | + | 5.28891i | 0.0582408 | + | 0.198350i | ||||
\(712\) | 14.4909 | 0.543070 | ||||||||
\(713\) | −6.46907 | + | 13.5432i | −0.242268 | + | 0.507197i | ||||
\(714\) | −2.11997 | + | 0.111553i | −0.0793378 | + | 0.00417477i | ||||
\(715\) | −7.33755 | + | 2.15450i | −0.274409 | + | 0.0805737i | ||||
\(716\) | −11.2880 | − | 13.0270i | −0.421852 | − | 0.486843i | ||||
\(717\) | 14.6607 | + | 22.8126i | 0.547515 | + | 0.851950i | ||||
\(718\) | −26.2762 | + | 3.77795i | −0.980619 | + | 0.140992i | ||||
\(719\) | −6.69276 | + | 10.4141i | −0.249598 | + | 0.388382i | −0.943333 | − | 0.331849i | \(-0.892328\pi\) |
0.693735 | + | 0.720231i | \(0.255964\pi\) | |||||||
\(720\) | 0.305390 | − | 0.668711i | 0.0113812 | − | 0.0249214i | ||||
\(721\) | 14.4569 | + | 11.2532i | 0.538405 | + | 0.419091i | ||||
\(722\) | −6.00879 | + | 41.7921i | −0.223624 | + | 1.55534i | ||||
\(723\) | −48.4742 | + | 22.1374i | −1.80277 | + | 0.823299i | ||||
\(724\) | 5.16764 | + | 1.51736i | 0.192054 | + | 0.0563921i | ||||
\(725\) | −25.3486 | − | 7.44301i | −0.941422 | − | 0.276426i | ||||
\(726\) | −9.37292 | + | 4.28047i | −0.347862 | + | 0.158863i | ||||
\(727\) | −6.07988 | + | 42.2865i | −0.225490 | + | 1.56832i | 0.491274 | + | 0.871005i | \(0.336531\pi\) |
−0.716764 | + | 0.697315i | \(0.754378\pi\) | |||||||
\(728\) | −8.84073 | + | 11.3577i | −0.327659 | + | 0.420943i | ||||
\(729\) | 3.46696 | − | 7.59158i | 0.128406 | − | 0.281170i | ||||
\(730\) | −1.88922 | + | 2.93969i | −0.0699233 | + | 0.108803i | ||||
\(731\) | −0.956790 | + | 0.137566i | −0.0353881 | + | 0.00508805i | ||||
\(732\) | −13.2895 | − | 20.6789i | −0.491195 | − | 0.764315i | ||||
\(733\) | −15.0108 | − | 17.3234i | −0.554436 | − | 0.639854i | 0.407475 | − | 0.913217i | \(-0.366410\pi\) |
−0.961911 | + | 0.273363i | \(0.911864\pi\) | |||||||
\(734\) | 24.0669 | − | 7.06667i | 0.888325 | − | 0.260836i | ||||
\(735\) | −0.588806 | − | 5.57939i | −0.0217185 | − | 0.205799i | ||||
\(736\) | 4.75806 | − | 0.600682i | 0.175385 | − | 0.0221414i | ||||
\(737\) | 30.6599 | 1.12937 | ||||||||
\(738\) | −2.43414 | − | 8.28991i | −0.0896019 | − | 0.305156i | ||||
\(739\) | 3.11050 | + | 3.58971i | 0.114422 | + | 0.132050i | 0.810071 | − | 0.586332i | \(-0.199429\pi\) |
−0.695649 | + | 0.718382i | \(0.744883\pi\) | |||||||
\(740\) | 1.50096 | + | 2.33554i | 0.0551763 | + | 0.0858560i | ||||
\(741\) | −13.6318 | − | 94.8112i | −0.500776 | − | 3.48298i | ||||
\(742\) | −19.4168 | − | 11.0820i | −0.712815 | − | 0.406832i | ||||
\(743\) | 26.6877 | + | 12.1879i | 0.979076 | + | 0.447129i | 0.839665 | − | 0.543105i | \(-0.182752\pi\) |
0.139412 | + | 0.990235i | \(0.455479\pi\) | |||||||
\(744\) | −4.61195 | + | 5.32248i | −0.169082 | + | 0.195131i | ||||
\(745\) | 1.69573 | + | 0.243810i | 0.0621269 | + | 0.00893249i | ||||
\(746\) | 5.01464 | − | 2.29011i | 0.183599 | − | 0.0838469i | ||||
\(747\) | 3.01684 | + | 0.885823i | 0.110380 | + | 0.0324106i | ||||
\(748\) | 0.396492 | − | 1.35033i | 0.0144972 | − | 0.0493729i | ||||
\(749\) | −4.84054 | − | 9.27581i | −0.176869 | − | 0.338931i | ||||
\(750\) | 7.83260 | + | 1.12616i | 0.286006 | + | 0.0411215i | ||||
\(751\) | −3.29145 | − | 2.85206i | −0.120107 | − | 0.104073i | 0.592737 | − | 0.805396i | \(-0.298047\pi\) |
−0.712843 | + | 0.701323i | \(0.752593\pi\) | |||||||
\(752\) | −11.4327 | − | 5.22113i | −0.416907 | − | 0.190395i | ||||
\(753\) | −7.63804 | + | 11.8850i | −0.278346 | + | 0.433114i | ||||
\(754\) | −29.1915 | + | 4.19711i | −1.06309 | + | 0.152850i | ||||
\(755\) | 3.92167 | − | 2.52031i | 0.142724 | − | 0.0917233i | ||||
\(756\) | 3.86530 | + | 4.01366i | 0.140580 | + | 0.145975i | ||||
\(757\) | 6.25908 | + | 21.3165i | 0.227490 | + | 0.774761i | 0.991562 | + | 0.129630i | \(0.0413790\pi\) |
−0.764072 | + | 0.645131i | \(0.776803\pi\) | |||||||
\(758\) | 12.7416i | 0.462795i | ||||||||
\(759\) | 32.6685 | − | 27.3369i | 1.18579 | − | 0.992267i | ||||
\(760\) | −2.78673 | −0.101086 | ||||||||
\(761\) | −4.11368 | − | 14.0099i | −0.149121 | − | 0.507859i | 0.850721 | − | 0.525617i | \(-0.176165\pi\) |
−0.999842 | + | 0.0177578i | \(0.994347\pi\) | |||||||
\(762\) | −5.06830 | + | 4.39170i | −0.183605 | + | 0.159095i | ||||
\(763\) | 10.1855 | − | 7.32964i | 0.368739 | − | 0.265351i | ||||
\(764\) | −8.72809 | + | 1.25491i | −0.315771 | + | 0.0454011i | ||||
\(765\) | 0.220511 | + | 0.141714i | 0.00797258 | + | 0.00512366i | ||||
\(766\) | −16.2007 | + | 35.4746i | −0.585355 | + | 1.28175i | ||||
\(767\) | 20.0547 | − | 23.1444i | 0.724133 | − | 0.835694i | ||||
\(768\) | 2.22745 | + | 0.320259i | 0.0803762 | + | 0.0115563i | ||||
\(769\) | 11.6376 | + | 25.4828i | 0.419663 | + | 0.918934i | 0.994892 | + | 0.100942i | \(0.0321856\pi\) |
−0.575229 | + | 0.817992i | \(0.695087\pi\) | |||||||
\(770\) | 3.61876 | + | 0.858874i | 0.130411 | + | 0.0309517i | ||||
\(771\) | −25.1135 | − | 7.37400i | −0.904442 | − | 0.265568i | ||||
\(772\) | 6.63464 | + | 14.5278i | 0.238786 | + | 0.522868i | ||||
\(773\) | 0.509589 | − | 3.54427i | 0.0183286 | − | 0.127478i | −0.978603 | − | 0.205759i | \(-0.934034\pi\) |
0.996931 | + | 0.0782802i | \(0.0249429\pi\) | |||||||
\(774\) | −4.22900 | − | 3.66445i | −0.152008 | − | 0.131716i | ||||
\(775\) | −13.8727 | − | 6.33544i | −0.498322 | − | 0.227576i | ||||
\(776\) | 9.99655 | + | 6.42439i | 0.358855 | + | 0.230622i | ||||
\(777\) | 45.5277 | − | 9.00972i | 1.63330 | − | 0.323222i | ||||
\(778\) | 9.51753 | + | 14.8096i | 0.341220 | + | 0.530948i | ||||
\(779\) | −24.7519 | + | 21.4477i | −0.886830 | + | 0.768443i | ||||
\(780\) | 4.18345 | − | 1.22837i | 0.149791 | − | 0.0439827i | ||||
\(781\) | 41.3248i | 1.47872i | ||||||||
\(782\) | −0.0294427 | + | 1.70974i | −0.00105287 | + | 0.0611401i | ||||
\(783\) | 11.4178i | 0.408040i | ||||||||
\(784\) | 6.47239 | − | 2.66613i | 0.231157 | − | 0.0952188i | ||||
\(785\) | 2.17982 | + | 2.51565i | 0.0778011 | + | 0.0897872i | ||||
\(786\) | 4.24327 | − | 2.72698i | 0.151352 | − | 0.0972683i | ||||
\(787\) | 1.53072 | + | 10.6464i | 0.0545644 | + | 0.379504i | 0.998745 | + | 0.0500767i | \(0.0159466\pi\) |
−0.944181 | + | 0.329427i | \(0.893144\pi\) | |||||||
\(788\) | 9.14293 | + | 5.87580i | 0.325703 | + | 0.209317i | ||||
\(789\) | −5.76738 | + | 12.6288i | −0.205324 | + | 0.449597i | ||||
\(790\) | 0.718812 | + | 0.622854i | 0.0255742 | + | 0.0221601i | ||||
\(791\) | 0.833305 | − | 9.21047i | 0.0296289 | − | 0.327487i | ||||
\(792\) | 7.41078 | − | 3.38439i | 0.263331 | − | 0.120259i | ||||
\(793\) | 16.7412 | − | 57.0152i | 0.594496 | − | 2.02467i | ||||
\(794\) | −5.14772 | + | 17.5315i | −0.182686 | + | 0.622171i | ||||
\(795\) | 2.81342 | + | 6.16054i | 0.0997819 | + | 0.218492i | ||||
\(796\) | −2.81295 | + | 19.5645i | −0.0997025 | + | 0.693446i | ||||
\(797\) | −5.75061 | + | 6.63656i | −0.203697 | + | 0.235079i | −0.848402 | − | 0.529353i | \(-0.822435\pi\) |
0.644705 | + | 0.764432i | \(0.276980\pi\) | |||||||
\(798\) | −17.0989 | + | 43.3343i | −0.605296 | + | 1.53402i | ||||
\(799\) | 2.42282 | − | 3.76998i | 0.0857131 | − | 0.133372i | ||||
\(800\) | 0.693522 | + | 4.82355i | 0.0245197 | + | 0.170538i | ||||
\(801\) | −25.1625 | + | 16.1709i | −0.889072 | + | 0.571372i | ||||
\(802\) | 29.4586 | − | 25.5260i | 1.04022 | − | 0.901354i | ||||
\(803\) | −37.1571 | + | 10.9103i | −1.31125 | + | 0.385016i | ||||
\(804\) | −17.4805 | −0.616489 | ||||||||
\(805\) | −4.51631 | + | 0.159731i | −0.159179 | + | 0.00562976i | ||||
\(806\) | −17.0249 | −0.599675 | ||||||||
\(807\) | 54.0934 | − | 15.8832i | 1.90418 | − | 0.559117i | ||||
\(808\) | −10.3073 | + | 8.93132i | −0.362609 | + | 0.314203i | ||||
\(809\) | −26.0372 | + | 16.7331i | −0.915420 | + | 0.588305i | −0.911325 | − | 0.411687i | \(-0.864940\pi\) |
−0.00409495 | + | 0.999992i | \(0.501303\pi\) | |||||||
\(810\) | −0.554095 | − | 3.85382i | −0.0194689 | − | 0.135409i | ||||
\(811\) | 1.54721 | − | 2.40751i | 0.0543301 | − | 0.0845392i | −0.813026 | − | 0.582228i | \(-0.802181\pi\) |
0.867356 | + | 0.497688i | \(0.165818\pi\) | |||||||
\(812\) | 13.3422 | + | 5.26461i | 0.468221 | + | 0.184752i | ||||
\(813\) | 13.7924 | − | 15.9173i | 0.483722 | − | 0.558245i | ||||
\(814\) | −4.37860 | + | 30.4538i | −0.153470 | + | 1.06741i | ||||
\(815\) | 1.44154 | + | 3.15653i | 0.0504948 | + | 0.110568i | ||||
\(816\) | −0.226057 | + | 0.769879i | −0.00791358 | + | 0.0269512i | ||||
\(817\) | −5.97613 | + | 20.3528i | −0.209078 | + | 0.712055i | ||||
\(818\) | −23.7731 | + | 10.8568i | −0.831205 | + | 0.379599i | ||||
\(819\) | 2.67689 | − | 29.5875i | 0.0935380 | − | 1.03387i | ||||
\(820\) | −1.12667 | − | 0.976269i | −0.0393452 | − | 0.0340928i | ||||
\(821\) | −1.03049 | + | 2.25645i | −0.0359642 | + | 0.0787506i | −0.926761 | − | 0.375650i | \(-0.877419\pi\) |
0.890797 | + | 0.454401i | \(0.150147\pi\) | |||||||
\(822\) | −29.2520 | − | 18.7991i | −1.02028 | − | 0.655695i | ||||
\(823\) | 5.86587 | + | 40.7980i | 0.204471 | + | 1.42213i | 0.790809 | + | 0.612062i | \(0.209660\pi\) |
−0.586338 | + | 0.810066i | \(0.699431\pi\) | |||||||
\(824\) | 5.82523 | − | 3.74365i | 0.202932 | − | 0.130416i | ||||
\(825\) | 28.3451 | + | 32.7120i | 0.986849 | + | 1.13888i | ||||
\(826\) | −14.0506 | + | 4.94133i | −0.488884 | + | 0.171931i | ||||
\(827\) | − | 23.8402i | − | 0.829006i | −0.910048 | − | 0.414503i | \(-0.863955\pi\) | ||
0.910048 | − | 0.414503i | \(-0.136045\pi\) | |||||||
\(828\) | −7.59172 | + | 6.35273i | −0.263830 | + | 0.220773i | ||||
\(829\) | − | 41.1528i | − | 1.42930i | −0.699484 | − | 0.714648i | \(-0.746587\pi\) | ||
0.699484 | − | 0.714648i | \(-0.253413\pi\) | |||||||
\(830\) | 0.520552 | − | 0.152848i | 0.0180686 | − | 0.00530543i | ||||
\(831\) | −31.1523 | + | 26.9936i | −1.08066 | + | 0.936399i | ||||
\(832\) | 2.94108 | + | 4.57642i | 0.101964 | + | 0.158659i | ||||
\(833\) | 0.612521 | + | 2.41958i | 0.0212226 | + | 0.0838334i | ||||
\(834\) | 1.90359 | + | 1.22336i | 0.0659158 | + | 0.0423615i | ||||
\(835\) | −0.0231087 | − | 0.0105534i | −0.000799709 | − | 0.000365215i | ||||
\(836\) | −23.3399 | − | 20.2241i | −0.807227 | − | 0.699466i | ||||
\(837\) | −0.938030 | + | 6.52414i | −0.0324231 | + | 0.225507i | ||||
\(838\) | 10.6324 | + | 23.2817i | 0.367290 | + | 0.804254i | ||||
\(839\) | −6.67239 | − | 1.95919i | −0.230357 | − | 0.0676388i | 0.164517 | − | 0.986374i | \(-0.447393\pi\) |
−0.394874 | + | 0.918735i | \(0.629212\pi\) | |||||||
\(840\) | −2.06321 | − | 0.489680i | −0.0711874 | − | 0.0168956i | ||||
\(841\) | 0.162104 | + | 0.354957i | 0.00558978 | + | 0.0122399i | ||||
\(842\) | −10.2846 | − | 1.47870i | −0.354430 | − | 0.0509594i | ||||
\(843\) | −5.41092 | + | 6.24454i | −0.186362 | + | 0.215073i | ||||
\(844\) | −5.33666 | + | 11.6857i | −0.183695 | + | 0.402237i | ||||
\(845\) | 4.97175 | + | 3.19515i | 0.171033 | + | 0.109917i | ||||
\(846\) | 25.6785 | − | 3.69201i | 0.882844 | − | 0.126934i | ||||
\(847\) | 7.07610 | + | 9.83316i | 0.243138 | + | 0.337871i | ||||
\(848\) | −6.38612 | + | 5.53361i | −0.219300 | + | 0.190025i | ||||
\(849\) | −7.09673 | − | 24.1692i | −0.243559 | − | 0.829486i | ||||
\(850\) | −1.73756 | −0.0595978 | ||||||||
\(851\) | −4.68233 | − | 37.0892i | −0.160508 | − | 1.27140i | ||||
\(852\) | − | 23.5610i | − | 0.807187i | ||||||
\(853\) | −4.43085 | − | 15.0901i | −0.151709 | − | 0.516675i | 0.848206 | − | 0.529666i | \(-0.177683\pi\) |
−0.999916 | + | 0.0129913i | \(0.995865\pi\) | |||||||
\(854\) | −20.8166 | + | 20.0471i | −0.712328 | + | 0.685997i | ||||
\(855\) | 4.83897 | − | 3.10982i | 0.165489 | − | 0.106353i | ||||
\(856\) | −3.91434 | + | 0.562797i | −0.133789 | + | 0.0192360i | ||||
\(857\) | −7.95913 | + | 12.3847i | −0.271879 | + | 0.423052i | −0.950166 | − | 0.311746i | \(-0.899086\pi\) |
0.678287 | + | 0.734797i | \(0.262723\pi\) | |||||||
\(858\) | 43.9525 | + | 20.0724i | 1.50051 | + | 0.685261i | ||||
\(859\) | −13.4305 | − | 11.6376i | −0.458242 | − | 0.397069i | 0.394920 | − | 0.918716i | \(-0.370772\pi\) |
−0.853162 | + | 0.521647i | \(0.825318\pi\) | |||||||
\(860\) | −0.955717 | − | 0.137411i | −0.0325897 | − | 0.00468569i | ||||
\(861\) | −22.0943 | + | 11.5298i | −0.752970 | + | 0.392934i | ||||
\(862\) | 6.75100 | − | 22.9918i | 0.229940 | − | 0.783104i | ||||
\(863\) | −0.190133 | − | 0.0558282i | −0.00647222 | − | 0.00190042i | 0.278495 | − | 0.960438i | \(-0.410164\pi\) |
−0.284967 | + | 0.958537i | \(0.591983\pi\) | |||||||
\(864\) | 1.91579 | − | 0.874911i | 0.0651764 | − | 0.0297651i | ||||
\(865\) | −0.575243 | − | 0.0827074i | −0.0195588 | − | 0.00281214i | ||||
\(866\) | 0.0695159 | − | 0.0802256i | 0.00236225 | − | 0.00272618i | ||||
\(867\) | 34.5387 | + | 15.7733i | 1.17299 | + | 0.535689i | ||||
\(868\) | 7.19124 | + | 4.10433i | 0.244087 | + | 0.139310i | ||||
\(869\) | 1.50007 | + | 10.4332i | 0.0508865 | + | 0.353924i | ||||
\(870\) | −2.34911 | − | 3.65529i | −0.0796424 | − | 0.123926i | ||||
\(871\) | −27.6726 | − | 31.9359i | −0.937651 | − | 1.08211i | ||||
\(872\) | −1.33624 | − | 4.55081i | −0.0452507 | − | 0.154110i | ||||
\(873\) | −24.5275 | −0.830130 | ||||||||
\(874\) | 33.8602 | + | 16.1737i | 1.14534 | + | 0.547084i | ||||
\(875\) | −0.488876 | − | 9.29067i | −0.0165270 | − | 0.314082i | ||||
\(876\) | 21.1848 | − | 6.22042i | 0.715769 | − | 0.210169i | ||||
\(877\) | −5.69451 | − | 6.57181i | −0.192290 | − | 0.221914i | 0.651415 | − | 0.758722i | \(-0.274176\pi\) |
−0.843705 | + | 0.536807i | \(0.819630\pi\) | |||||||
\(878\) | 17.2659 | + | 26.8663i | 0.582697 | + | 0.906694i | ||||
\(879\) | −6.80872 | + | 0.978947i | −0.229653 | + | 0.0330191i | ||||
\(880\) | 0.760010 | − | 1.18260i | 0.0256199 | − | 0.0398654i | ||||
\(881\) | 12.4054 | − | 27.1640i | 0.417948 | − | 0.915179i | −0.577183 | − | 0.816615i | \(-0.695848\pi\) |
0.995131 | − | 0.0985638i | \(-0.0314248\pi\) | |||||||
\(882\) | −8.26361 | + | 11.8523i | −0.278250 | + | 0.399088i | ||||
\(883\) | 7.73700 | − | 53.8120i | 0.260371 | − | 1.81092i | −0.269677 | − | 0.962951i | \(-0.586917\pi\) |
0.530047 | − | 0.847968i | \(-0.322174\pi\) | |||||||
\(884\) | −1.76439 | + | 0.805769i | −0.0593428 | + | 0.0271010i | ||||
\(885\) | 4.32916 | + | 1.27116i | 0.145523 | + | 0.0427295i | ||||
\(886\) | −32.2400 | − | 9.46652i | −1.08312 | − | 0.318034i | ||||
\(887\) | 25.7135 | − | 11.7430i | 0.863376 | − | 0.394290i | 0.0660331 | − | 0.997817i | \(-0.478966\pi\) |
0.797343 | + | 0.603527i | \(0.206238\pi\) | |||||||
\(888\) | 2.49642 | − | 17.3630i | 0.0837745 | − | 0.582664i | ||||
\(889\) | 6.22191 | + | 4.84309i | 0.208676 | + | 0.162432i | ||||
\(890\) | −2.14398 | + | 4.69466i | −0.0718664 | + | 0.157365i | ||||
\(891\) | 23.3275 | − | 36.2983i | 0.781501 | − | 1.21604i | ||||
\(892\) | 26.3327 | − | 3.78607i | 0.881683 | − | 0.126767i | ||||
\(893\) | −53.1672 | − | 82.7298i | −1.77917 | − | 2.76845i | ||||
\(894\) | −7.08856 | − | 8.18064i | −0.237077 | − | 0.273601i | ||||
\(895\) | 5.89050 | − | 1.72961i | 0.196898 | − | 0.0578144i | ||||
\(896\) | −0.139027 | − | 2.64210i | −0.00464458 | − | 0.0882662i | ||||
\(897\) | −57.9602 | − | 9.35468i | −1.93523 | − | 0.312344i | ||||
\(898\) | 0.729438 | 0.0243417 | ||||||||
\(899\) | 4.77995 | + | 16.2790i | 0.159420 | + | 0.542935i | ||||
\(900\) | −6.58702 | − | 7.60183i | −0.219567 | − | 0.253394i | ||||
\(901\) | −1.62891 | − | 2.53464i | −0.0542670 | − | 0.0844411i | ||||
\(902\) | −2.35124 | − | 16.3532i | −0.0782876 | − | 0.544502i | ||||
\(903\) | −8.00089 | + | 14.0184i | −0.266253 | + | 0.466505i | ||||
\(904\) | −3.17957 | − | 1.45206i | −0.105751 | − | 0.0482949i | ||||
\(905\) | −1.25615 | + | 1.44967i | −0.0417559 | + | 0.0481888i | ||||
\(906\) | −29.1548 | − | 4.19182i | −0.968602 | − | 0.139264i | ||||
\(907\) | 4.83862 | − | 2.20972i | 0.160664 | − | 0.0733727i | −0.333460 | − | 0.942764i | \(-0.608216\pi\) |
0.494124 | + | 0.869392i | \(0.335489\pi\) | |||||||
\(908\) | 6.40079 | + | 1.87944i | 0.212418 | + | 0.0623715i | ||||
\(909\) | 7.93111 | − | 27.0109i | 0.263058 | − | 0.895894i | ||||
\(910\) | −2.37156 | − | 4.54456i | −0.0786163 | − | 0.150651i | ||||
\(911\) | −40.8454 | − | 5.87268i | −1.35327 | − | 0.194570i | −0.572763 | − | 0.819721i | \(-0.694128\pi\) |
−0.780504 | + | 0.625151i | \(0.785038\pi\) | |||||||
\(912\) | 13.3071 | + | 11.5306i | 0.440641 | + | 0.381817i | ||||
\(913\) | 5.46907 | + | 2.49764i | 0.181000 | + | 0.0826598i | ||||
\(914\) | 11.4173 | − | 17.7657i | 0.377652 | − | 0.587638i | ||||
\(915\) | 8.66563 | − | 1.24593i | 0.286477 | − | 0.0411892i | ||||
\(916\) | 11.6220 | − | 7.46901i | 0.384002 | − | 0.246783i | ||||
\(917\) | −4.11362 | − | 4.27151i | −0.135844 | − | 0.141058i | ||||
\(918\) | 0.211567 | + | 0.720532i | 0.00698277 | + | 0.0237811i | ||||
\(919\) | − | 20.2384i | − | 0.667602i | −0.942644 | − | 0.333801i | \(-0.891669\pi\) | ||
0.942644 | − | 0.333801i | \(-0.108331\pi\) | |||||||
\(920\) | −0.509367 | + | 1.63036i | −0.0167933 | + | 0.0537512i | ||||
\(921\) | 53.1649 | 1.75184 | ||||||||
\(922\) | −6.52091 | − | 22.2082i | −0.214755 | − | 0.731387i | ||||
\(923\) | 43.0447 | − | 37.2984i | 1.41683 | − | 1.22769i | ||||
\(924\) | −13.7263 | − | 19.0745i | −0.451564 | − | 0.627506i | ||||
\(925\) | 37.5997 | − | 5.40601i | 1.23627 | − | 0.177749i | ||||
\(926\) | 9.65221 | + | 6.20310i | 0.317191 | + | 0.203846i | ||||
\(927\) | −5.93743 | + | 13.0012i | −0.195011 | + | 0.427014i | ||||
\(928\) | 3.55018 | − | 4.09713i | 0.116540 | − | 0.134495i | ||||
\(929\) | 49.7757 | + | 7.15666i | 1.63309 | + | 0.234802i | 0.896982 | − | 0.442066i | \(-0.145754\pi\) |
0.736104 | + | 0.676868i | \(0.236663\pi\) | |||||||
\(930\) | −1.04198 | − | 2.28162i | −0.0341680 | − | 0.0748174i | ||||
\(931\) | 53.8817 | + | 9.83021i | 1.76590 | + | 0.322172i | ||||
\(932\) | 15.9753 | + | 4.69078i | 0.523289 | + | 0.153651i | ||||
\(933\) | −9.15481 | − | 20.0462i | −0.299715 | − | 0.656284i | ||||
\(934\) | −0.881280 | + | 6.12944i | −0.0288364 | + | 0.200561i | ||||
\(935\) | 0.378807 | + | 0.328238i | 0.0123883 | + | 0.0107345i | ||||
\(936\) | −10.2140 | − | 4.66456i | −0.333854 | − | 0.152466i | ||||
\(937\) | −13.3327 | − | 8.56839i | −0.435559 | − | 0.279917i | 0.304431 | − | 0.952534i | \(-0.401534\pi\) |
−0.739990 | + | 0.672617i | \(0.765170\pi\) | |||||||
\(938\) | 3.98975 | + | 20.1609i | 0.130270 | + | 0.658277i | ||||
\(939\) | 22.8143 | + | 35.4997i | 0.744515 | + | 1.15849i | ||||
\(940\) | 3.38300 | − | 2.93139i | 0.110341 | − | 0.0956114i | ||||
\(941\) | −16.6311 | + | 4.88333i | −0.542158 | + | 0.159192i | −0.541334 | − | 0.840808i | \(-0.682081\pi\) |
−0.000824304 | 1.00000i | \(0.500262\pi\) | ||||||||
\(942\) | − | 21.0320i | − | 0.685259i | ||||||
\(943\) | 8.02355 | + | 18.4012i | 0.261283 | + | 0.599225i | ||||
\(944\) | 5.62948i | 0.183224i | ||||||||
\(945\) | −1.87220 | + | 0.658416i | −0.0609027 | + | 0.0214183i | ||||
\(946\) | −7.00723 | − | 8.08678i | −0.227825 | − | 0.262924i | ||||
\(947\) | 40.6693 | − | 26.1366i | 1.32158 | − | 0.849325i | 0.326192 | − | 0.945303i | \(-0.394234\pi\) |
0.995383 | + | 0.0959785i | \(0.0305980\pi\) | |||||||
\(948\) | −0.855255 | − | 5.94843i | −0.0277774 | − | 0.193196i | ||||
\(949\) | 44.9012 | + | 28.8562i | 1.45755 | + | 0.936713i | ||||
\(950\) | −15.8396 | + | 34.6840i | −0.513906 | + | 1.12530i | ||||
\(951\) | −0.271243 | − | 0.235033i | −0.00879566 | − | 0.00762148i | ||||
\(952\) | 0.939526 | + | 0.0850024i | 0.0304502 | + | 0.00275494i | ||||
\(953\) | 17.1637 | − | 7.83841i | 0.555987 | − | 0.253911i | −0.117546 | − | 0.993067i | \(-0.537503\pi\) |
0.673534 | + | 0.739156i | \(0.264776\pi\) | |||||||
\(954\) | 4.91390 | − | 16.7352i | 0.159093 | − | 0.541823i | ||||
\(955\) | 0.884794 | − | 3.01333i | 0.0286313 | − | 0.0975091i | ||||
\(956\) | −5.00585 | − | 10.9613i | −0.161901 | − | 0.354514i | ||||
\(957\) | 6.85284 | − | 47.6625i | 0.221521 | − | 1.54071i | ||||
\(958\) | −16.1566 | + | 18.6457i | −0.521996 | + | 0.602416i | ||||
\(959\) | −15.0052 | + | 38.0282i | −0.484545 | + | 1.22799i | ||||
\(960\) | −0.433314 | + | 0.674249i | −0.0139851 | + | 0.0217613i | ||||
\(961\) | −3.01790 | − | 20.9899i | −0.0973515 | − | 0.677095i | ||||
\(962\) | 35.6733 | − | 22.9258i | 1.15015 | − | 0.739158i | ||||
\(963\) | 6.16893 | − | 5.34540i | 0.198791 | − | 0.172253i | ||||
\(964\) | 22.7214 | − | 6.67161i | 0.731807 | − | 0.214878i | ||||
\(965\) | −5.68824 | −0.183111 | ||||||||
\(966\) | 22.2270 | + | 17.9243i | 0.715141 | + | 0.576706i | ||||
\(967\) | −46.1642 | −1.48454 | −0.742270 | − | 0.670101i | \(-0.766251\pi\) | ||||
−0.742270 | + | 0.670101i | \(0.766251\pi\) | |||||||
\(968\) | 4.39339 | − | 1.29002i | 0.141209 | − | 0.0414627i | ||||
\(969\) | −4.74473 | + | 4.11134i | −0.152423 | + | 0.132075i | ||||
\(970\) | −3.56035 | + | 2.28810i | −0.114316 | + | 0.0734664i | ||||
\(971\) | 4.05689 | + | 28.2163i | 0.130192 | + | 0.905503i | 0.945302 | + | 0.326197i | \(0.105767\pi\) |
−0.815110 | + | 0.579306i | \(0.803324\pi\) | |||||||
\(972\) | −9.88404 | + | 15.3799i | −0.317031 | + | 0.493309i | ||||
\(973\) | 0.976472 | − | 2.47470i | 0.0313043 | − | 0.0793352i | ||||
\(974\) | 1.79466 | − | 2.07114i | 0.0575045 | − | 0.0663637i | ||||
\(975\) | 8.49004 | − | 59.0495i | 0.271899 | − | 1.89110i | ||||
\(976\) | 4.53766 | + | 9.93609i | 0.145247 | + | 0.318047i | ||||
\(977\) | −1.46546 | + | 4.99091i | −0.0468843 | + | 0.159673i | −0.979608 | − | 0.200919i | \(-0.935607\pi\) |
0.932724 | + | 0.360592i | \(0.117425\pi\) | |||||||
\(978\) | 6.17716 | − | 21.0375i | 0.197524 | − | 0.672705i | ||||
\(979\) | −52.0271 | + | 23.7600i | −1.66279 | + | 0.759373i | ||||
\(980\) | −0.0938592 | + | 2.49134i | −0.00299822 | + | 0.0795829i | ||||
\(981\) | 7.39869 | + | 6.41100i | 0.236222 | + | 0.204688i | ||||
\(982\) | 0.693317 | − | 1.51815i | 0.0221246 | − | 0.0484462i | ||||
\(983\) | 31.5908 | + | 20.3022i | 1.00759 | + | 0.647539i | 0.936768 | − | 0.349950i | \(-0.113801\pi\) |
0.0708219 | + | 0.997489i | \(0.477438\pi\) | |||||||
\(984\) | 1.34054 | + | 9.32365i | 0.0427348 | + | 0.297227i | ||||
\(985\) | −3.25633 | + | 2.09271i | −0.103755 | + | 0.0666794i | ||||
\(986\) | 1.26584 | + | 1.46086i | 0.0403127 | + | 0.0465233i | ||||
\(987\) | −24.8261 | − | 70.5929i | −0.790224 | − | 2.24700i | ||||
\(988\) | 42.5649i | 1.35417i | ||||||||
\(989\) | 10.8149 | + | 7.21643i | 0.343894 | + | 0.229469i | ||||
\(990\) | 2.90162i | 0.0922195i | ||||||||
\(991\) | 49.4786 | − | 14.5282i | 1.57174 | − | 0.461505i | 0.624233 | − | 0.781238i | \(-0.285412\pi\) |
0.947507 | + | 0.319734i | \(0.103594\pi\) | |||||||
\(992\) | 2.36517 | − | 2.04943i | 0.0750943 | − | 0.0650696i | ||||
\(993\) | −9.94914 | − | 15.4812i | −0.315727 | − | 0.491280i | ||||
\(994\) | −27.1738 | + | 5.37757i | −0.861900 | + | 0.170566i | ||||
\(995\) | −5.92218 | − | 3.80596i | −0.187746 | − | 0.120657i | ||||
\(996\) | −3.11815 | − | 1.42401i | −0.0988023 | − | 0.0451215i | ||||
\(997\) | 12.8067 | + | 11.0971i | 0.405594 | + | 0.351449i | 0.833640 | − | 0.552308i | \(-0.186253\pi\) |
−0.428047 | + | 0.903757i | \(0.640798\pi\) | |||||||
\(998\) | 0.144541 | − | 1.00530i | 0.00457536 | − | 0.0318224i | ||||
\(999\) | −6.81995 | − | 14.9336i | −0.215774 | − | 0.472478i |
(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 | 322.2.k.a.83.2 | ✓ | 80 | |
7.6 | odd | 2 | inner | 322.2.k.a.83.7 | yes | 80 | |
23.5 | odd | 22 | inner | 322.2.k.a.97.7 | yes | 80 | |
161.97 | even | 22 | inner | 322.2.k.a.97.2 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
322.2.k.a.83.2 | ✓ | 80 | 1.1 | even | 1 | trivial | |
322.2.k.a.83.7 | yes | 80 | 7.6 | odd | 2 | inner | |
322.2.k.a.97.2 | yes | 80 | 161.97 | even | 22 | inner | |
322.2.k.a.97.7 | yes | 80 | 23.5 | odd | 22 | inner |