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 | 83.7 | ||
Character | \(\chi\) | \(=\) | 322.83 |
Dual form | 322.2.k.a.97.7 |
$q$-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 | −0.00691181 | − | 0.999976i | \(-0.502200\pi\) |
0.988814 | + | 0.149153i | \(0.0476547\pi\) | |||||||
\(4\) | 0.841254 | − | 0.540641i | 0.420627 | − | 0.270320i | ||||
\(5\) | −0.0506866 | − | 0.352533i | −0.0226677 | − | 0.157657i | 0.975344 | − | 0.220692i | \(-0.0708314\pi\) |
−0.998011 | + | 0.0630341i | \(0.979922\pi\) | |||||||
\(6\) | −1.21663 | + | 1.89312i | −0.496689 | + | 0.772863i | ||||
\(7\) | −2.34558 | − | 1.22403i | −0.886546 | − | 0.462640i | ||||
\(8\) | −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 | 0.413531 | − | 0.910490i | \(-0.364295\pi\) |
0.958908 | + | 0.283719i | \(0.0915682\pi\) | |||||||
\(14\) | 2.59542 | + | 0.513622i | 0.693655 | + | 0.137271i | ||||
\(15\) | −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 | 0.503760 | − | 0.863844i | \(-0.331950\pi\) |
−0.576510 | + | 0.817090i | \(0.695586\pi\) | |||||||
\(18\) | 0.293752 | + | 2.04309i | 0.0692379 | + | 0.481560i | ||||
\(19\) | −6.58234 | + | 4.23021i | −1.51009 | + | 0.970477i | −0.516642 | + | 0.856201i | \(0.672818\pi\) |
−0.993449 | + | 0.114275i | \(0.963545\pi\) | |||||||
\(20\) | −0.233234 | − | 0.269166i | −0.0521527 | − | 0.0601874i | ||||
\(21\) | −5.79296 | + | 1.37490i | −1.26413 | + | 0.300027i | ||||
\(22\) | 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 | ||||
\(28\) | −2.63499 | + | 0.238397i | −0.497966 | + | 0.0450528i | ||||
\(29\) | −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 | 0.840865 | − | 0.541245i | \(-0.182047\pi\) |
−0.416068 | + | 0.909334i | \(0.636592\pi\) | |||||||
\(32\) | −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 | ||||
\(35\) | −0.312621 | + | 0.888936i | −0.0528426 | + | 0.150258i | ||||
\(36\) | −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 | 0.189031 | − | 0.981971i | \(-0.439465\pi\) |
0.458027 | + | 0.888938i | \(0.348556\pi\) | |||||||
\(42\) | 5.17095 | − | 2.95127i | 0.797895 | − | 0.455390i | ||||
\(43\) | −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 | \(0.369117\pi\) | ||||
−0.399693 | + | 0.916649i | \(0.630883\pi\) | |||||||
\(48\) | −0.633998 | − | 2.15920i | −0.0915098 | − | 0.311654i | ||||
\(49\) | 4.00350 | + | 5.74212i | 0.571929 | + | 0.820303i | ||||
\(50\) | −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 | ||||
\(56\) | 2.46109 | − | 0.971103i | 0.328877 | − | 0.129769i | ||||
\(57\) | −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 | −0.0531853 | − | 0.998585i | \(-0.516937\pi\) |
0.719851 | + | 0.694129i | \(0.244210\pi\) | |||||||
\(60\) | −0.793324 | − | 0.114063i | −0.102418 | − | 0.0147254i | ||||
\(61\) | 7.15317 | − | 8.25520i | 0.915870 | − | 1.05697i | −0.0823063 | − | 0.996607i | \(-0.526229\pi\) |
0.998176 | − | 0.0603634i | \(-0.0192260\pi\) | |||||||
\(62\) | −2.84676 | − | 1.30007i | −0.361539 | − | 0.165109i | ||||
\(63\) | −3.18982 | + | 4.43267i | −0.401879 | + | 0.558463i | ||||
\(64\) | −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 | \(0.0128570\pi\) |
−0.378345 | + | 0.925665i | \(0.623507\pi\) | |||||||
\(74\) | −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 | ||||
\(77\) | −7.24384 | + | 7.52189i | −0.825513 | + | 0.857199i | ||||
\(78\) | −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 | −0.974459 | − | 0.224567i | \(-0.927903\pi\) |
0.998254 | + | 0.0590667i | \(0.0188125\pi\) | |||||||
\(84\) | −4.13002 | + | 4.28854i | −0.450622 | + | 0.467919i | ||||
\(85\) | −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 | \(0.0514839\pi\) |
0.0189407 | + | 0.999821i | \(0.493971\pi\) | |||||||
\(90\) | 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 | \(0.160679\pi\) |
−0.703571 | + | 0.710625i | \(0.748412\pi\) | |||||||
\(98\) | −5.45907 | − | 4.38161i | −0.551450 | − | 0.442610i | ||||
\(99\) | −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 | −0.567095 | − | 0.823652i | \(-0.691933\pi\) |
−0.776173 | + | 0.630520i | \(0.782842\pi\) | |||||||
\(102\) | 0.729872 | − | 0.333321i | 0.0722681 | − | 0.0330037i | ||||
\(103\) | 6.64398 | + | 1.95085i | 0.654650 | + | 0.192223i | 0.592157 | − | 0.805823i | \(-0.298277\pi\) |
0.0624935 | + | 0.998045i | \(0.480095\pi\) | |||||||
\(104\) | −1.53262 | + | 5.21964i | −0.150286 | + | 0.511828i | ||||
\(105\) | 0.778321 | + | 1.97252i | 0.0759563 | + | 0.192498i | ||||
\(106\) | 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 | ||||
\(112\) | −2.08781 | + | 1.62514i | −0.197279 | + | 0.153561i | ||||
\(113\) | 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 | ||||
\(119\) | 0.467614 | + | 0.819311i | 0.0428661 | + | 0.0751062i | ||||
\(120\) | 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 | ||||
\(126\) | 1.81178 | − | 5.15179i | 0.161406 | − | 0.458958i | ||||
\(127\) | −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 | 0.324351 | − | 0.945937i | \(-0.394854\pi\) |
−0.502487 | + | 0.864585i | \(0.667582\pi\) | |||||||
\(132\) | −7.47215 | − | 4.80206i | −0.650368 | − | 0.417966i | ||||
\(133\) | 20.6173 | − | 1.86532i | 1.78775 | − | 0.161744i | ||||
\(134\) | −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 | \(-0.986422\pi\) | ||
0.999090 | − | 0.0426439i | \(-0.0135781\pi\) | |||||||
\(140\) | 0.217601 | + | 0.916836i | 0.0183907 | + | 0.0774868i | ||||
\(141\) | 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 | ||||
\(147\) | 15.2708 | + | 3.86582i | 1.25951 | + | 0.318848i | ||||
\(148\) | 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 | ||||
\(154\) | 4.83126 | − | 9.25803i | 0.389314 | − | 0.746033i | ||||
\(155\) | 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 | −0.815379 | − | 0.578927i | \(-0.803471\pi\) |
0.187890 | + | 0.982190i | \(0.439835\pi\) | |||||||
\(158\) | 2.01824 | − | 1.74881i | 0.160562 | − | 0.139128i | ||||
\(159\) | −18.2454 | + | 5.35732i | −1.44695 | + | 0.424863i | ||||
\(160\) | 0.356158 | 0.0281568 | ||||||||
\(161\) | −2.67719 | + | 12.4029i | −0.210992 | + | 0.977488i | ||||
\(162\) | −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 | −0.839758 | − | 0.542960i | \(-0.817303\pi\) |
0.842742 | + | 0.538317i | \(0.180940\pi\) | |||||||
\(168\) | 2.75450 | − | 5.27839i | 0.212514 | − | 0.407237i | ||||
\(169\) | 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 | −0.940170 | − | 0.340707i | \(-0.889334\pi\) |
0.975121 | + | 0.221673i | \(0.0711518\pi\) | |||||||
\(174\) | 11.0973 | − | 5.06798i | 0.841286 | − | 0.384202i | ||||
\(175\) | −12.6479 | − | 2.50296i | −0.956089 | − | 0.189206i | ||||
\(176\) | −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 | 0.609377 | − | 0.792880i | \(-0.291419\pi\) |
−0.871533 | + | 0.490336i | \(0.836874\pi\) | |||||||
\(182\) | 14.0039 | − | 3.32367i | 1.03804 | − | 0.246367i | ||||
\(183\) | − | 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 | ||||
\(189\) | −0.502092 | − | 5.54959i | −0.0365218 | − | 0.403673i | ||||
\(190\) | −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 | ||||
\(196\) | 6.47239 | + | 2.66613i | 0.462313 | + | 0.190438i | ||||
\(197\) | 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 | \(-0.525653\pi\) |
0.998066 | − | 0.0621675i | \(-0.0198013\pi\) | |||||||
\(200\) | −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 | ||||
\(203\) | 7.10983 | + | 12.4572i | 0.499012 | + | 0.874324i | ||||
\(204\) | −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 | ||||
\(210\) | −1.30252 | − | 1.67334i | −0.0898821 | − | 0.115471i | ||||
\(211\) | −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 | ||||
\(217\) | −3.03913 | − | 7.70215i | −0.206310 | − | 0.522856i | ||||
\(218\) | 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 | −0.621451 | − | 0.783453i | \(-0.713457\pi\) |
−0.999058 | + | 0.0433912i | \(0.986184\pi\) | |||||||
\(224\) | 1.54538 | − | 2.14751i | 0.103255 | − | 0.143486i | ||||
\(225\) | −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 | 0.592020 | − | 0.805923i | \(-0.298331\pi\) |
−0.881973 | + | 0.471299i | \(0.843785\pi\) | |||||||
\(228\) | 4.96068 | + | 16.8945i | 0.328529 | + | 1.11887i | ||||
\(229\) | −13.8151 | −0.912928 | −0.456464 | − | 0.889742i | \(-0.650884\pi\) | ||||
−0.456464 | + | 0.889742i | \(0.650884\pi\) | |||||||
\(230\) | 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 | ||||
\(238\) | −0.679499 | − | 0.654381i | −0.0440454 | − | 0.0424173i | ||||
\(239\) | 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 | −0.549597 | − | 0.835430i | \(-0.685219\pi\) |
−0.914018 | + | 0.405674i | \(0.867037\pi\) | |||||||
\(242\) | 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 | ||||
\(245\) | 1.82136 | − | 1.70241i | 0.116363 | − | 0.108763i | ||||
\(246\) | −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 | −0.466254 | − | 0.884651i | \(-0.654397\pi\) |
0.0860408 | + | 0.996292i | \(0.472578\pi\) | |||||||
\(252\) | −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 | 0.587827 | − | 0.808986i | \(-0.299983\pi\) |
−0.980072 | + | 0.198641i | \(0.936347\pi\) | |||||||
\(258\) | −0.868222 | − | 6.03862i | −0.0540532 | − | 0.375948i | ||||
\(259\) | −16.7399 | − | 12.0463i | −1.04016 | − | 0.748519i | ||||
\(260\) | −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 | ||||
\(266\) | −19.2566 | + | 7.59833i | −1.18070 | + | 0.465884i | ||||
\(267\) | 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 | 0.962882 | − | 0.269921i | \(-0.0869977\pi\) |
0.426561 | + | 0.904459i | \(0.359725\pi\) | |||||||
\(270\) | −0.405540 | + | 0.631032i | −0.0246804 | + | 0.0384034i | ||||
\(271\) | 9.26399 | − | 1.33196i | 0.562747 | − | 0.0809109i | 0.144930 | − | 0.989442i | \(-0.453704\pi\) |
0.417817 | + | 0.908531i | \(0.362795\pi\) | |||||||
\(272\) | −0.299955 | + | 0.192770i | −0.0181875 | + | 0.0116884i | ||||
\(273\) | −25.5588 | + | 19.8948i | −1.54689 | + | 1.20409i | ||||
\(274\) | 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 | ||||
\(280\) | −0.467090 | − | 0.818393i | −0.0279139 | − | 0.0489083i | ||||
\(281\) | 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 | −0.719607 | − | 0.694381i | \(-0.755678\pi\) |
0.996021 | + | 0.0891200i | \(0.0284055\pi\) | |||||||
\(284\) | −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 | ||||
\(287\) | −10.4473 | − | 3.67413i | −0.616687 | − | 0.216877i | ||||
\(288\) | 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 | 0.463367 | − | 0.886166i | \(-0.346641\pi\) |
−0.613595 | + | 0.789621i | \(0.710277\pi\) | |||||||
\(294\) | −15.7413 | + | 0.593042i | −0.918052 | + | 0.0345869i | ||||
\(295\) | −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 | ||||||
\(301\) | 6.97877 | − | 1.65634i | 0.402250 | − | 0.0954697i | ||||
\(302\) | 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 | 0.993170 | − | 0.116680i | \(-0.0372252\pi\) |
0.0258503 | + | 0.999666i | \(0.491771\pi\) | |||||||
\(308\) | −2.02727 | + | 10.2441i | −0.115514 | + | 0.583714i | ||||
\(309\) | 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 | −0.843542 | − | 0.537063i | \(-0.819534\pi\) |
0.999991 | + | 0.00424676i | \(0.00135179\pi\) | |||||||
\(312\) | 5.08548 | + | 11.1356i | 0.287909 | + | 0.630432i | ||||
\(313\) | −2.66868 | + | 18.5611i | −0.150843 | + | 1.04913i | 0.763969 | + | 0.645253i | \(0.223248\pi\) |
−0.914811 | + | 0.403881i | \(0.867661\pi\) | |||||||
\(314\) | 6.12037 | − | 7.06329i | 0.345393 | − | 0.398604i | ||||
\(315\) | 1.72434 | + | 0.899839i | 0.0971556 | + | 0.0507002i | ||||
\(316\) | −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 | ||||||||
\(322\) | −0.925559 | − | 12.6548i | −0.0515794 | − | 0.705223i | ||||
\(323\) | 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 | ||||
\(329\) | 15.3842 | − | 29.4803i | 0.848157 | − | 1.62530i | ||||
\(330\) | 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 | ||||
\(336\) | −1.15583 | + | 5.84061i | −0.0630558 | + | 0.318631i | ||||
\(337\) | −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 | ||||
\(343\) | −2.36200 | − | 18.3690i | −0.127536 | − | 0.991834i | ||||
\(344\) | − | 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 | \(-0.910253\pi\) |
0.145927 | − | 0.989295i | \(-0.453383\pi\) | |||||||
\(350\) | 12.8407 | − | 1.16175i | 0.686364 | − | 0.0620979i | ||||
\(351\) | 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 | 0.846086 | − | 0.533046i | \(-0.178953\pi\) |
−0.407210 | + | 0.913335i | \(0.633498\pi\) | |||||||
\(354\) | −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 | ||||
\(357\) | 2.00267 | + | 0.704299i | 0.105992 | + | 0.0372754i | ||||
\(358\) | 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 | ||||
\(364\) | −12.5002 | + | 7.13438i | −0.655190 | + | 0.373943i | ||||
\(365\) | 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 | \(-0.272812\pi\) | ||||
0.654659 | + | 0.755925i | \(0.272812\pi\) | |||||||
\(368\) | −4.73456 | − | 0.764151i | −0.246806 | − | 0.0398341i | ||||
\(369\) | − | 8.63989i | − | 0.449775i | ||||||
\(370\) | 0.782162 | + | 2.66380i | 0.0406627 | + | 0.138484i | ||||
\(371\) | 13.7325 | + | 17.6421i | 0.712955 | + | 0.915931i | ||||
\(372\) | 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 | ||||
\(378\) | 2.04525 | + | 5.18333i | 0.105196 | + | 0.266602i | ||||
\(379\) | 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 | \(0.700154\pi\) |
−0.716794 | + | 0.697285i | \(0.754391\pi\) | |||||||
\(384\) | 2.04699 | + | 0.934831i | 0.104460 | + | 0.0477054i | ||||
\(385\) | 3.01888 | + | 2.17243i | 0.153856 | + | 0.110717i | ||||
\(386\) | −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 | −0.995503 | − | 0.0947337i | \(-0.969800\pi\) |
0.499720 | + | 0.866187i | \(0.333436\pi\) | |||||||
\(398\) | −8.21097 | + | 17.9795i | −0.411579 | + | 0.901232i | ||||
\(399\) | 32.3151 | − | 33.5554i | 1.61778 | − | 1.67987i | ||||
\(400\) | 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 | ||||
\(406\) | −10.3314 | − | 9.94953i | −0.512740 | − | 0.493787i | ||||
\(407\) | 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 | −0.748182 | − | 0.663494i | \(-0.769073\pi\) |
−0.530948 | + | 0.847405i | \(0.678164\pi\) | |||||||
\(410\) | 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 | \(0.169524\pi\) |
−0.683554 | + | 0.729900i | \(0.739567\pi\) | |||||||
\(420\) | 1.72119 | + | 1.23860i | 0.0839854 | + | 0.0604373i | ||||
\(421\) | 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 | ||||
\(427\) | −26.8830 | + | 10.6075i | −1.30096 | + | 0.513335i | ||||
\(428\) | 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 | −0.538493 | − | 0.842630i | \(-0.681006\pi\) |
0.542785 | + | 0.839872i | \(0.317370\pi\) | |||||||
\(434\) | 5.08598 | + | 6.53394i | 0.244135 | + | 0.313639i | ||||
\(435\) | 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 | \(0.184928\pi\) |
−0.406507 | + | 0.913648i | \(0.633253\pi\) | |||||||
\(440\) | 1.06240 | − | 0.920576i | 0.0506480 | − | 0.0438867i | ||||
\(441\) | 12.9077 | − | 6.49274i | 0.614652 | − | 0.309178i | ||||
\(442\) | 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 | ||||
\(448\) | −0.877760 | + | 2.49590i | −0.0414703 | + | 0.117920i | ||||
\(449\) | −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 | ||||
\(455\) | 0.461894 | + | 5.10529i | 0.0216539 | + | 0.239340i | ||||
\(456\) | −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 | \(-0.818801\pi\) | ||
0.842304 | − | 0.539002i | \(-0.181199\pi\) | |||||||
\(462\) | −5.42673 | − | 22.8648i | −0.252474 | − | 1.06377i | ||||
\(463\) | −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 | −0.959766 | − | 0.280800i | \(-0.909400\pi\) |
0.840728 | + | 0.541458i | \(0.182128\pi\) | |||||||
\(468\) | −8.48607 | − | 7.35322i | −0.392269 | − | 0.339903i | ||||
\(469\) | 3.98975 | − | 20.1609i | 0.184230 | − | 0.930944i | ||||
\(470\) | −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 | ||||
\(476\) | 0.836335 | + | 0.436437i | 0.0383334 | + | 0.0200041i | ||||
\(477\) | −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 | −0.920746 | − | 0.390163i | \(-0.872419\pi\) |
−0.0275864 | + | 0.999619i | \(0.508782\pi\) | |||||||
\(480\) | 0.605719 | − | 0.524859i | 0.0276472 | − | 0.0239564i | ||||
\(481\) | 40.6872 | − | 11.9468i | 1.85518 | − | 0.544729i | ||||
\(482\) | 23.6806 | 1.07862 | ||||||||
\(483\) | 13.7247 | + | 25.0390i | 0.624495 | + | 1.13931i | ||||
\(484\) | −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 | ||||
\(490\) | −1.26796 | + | 2.14659i | −0.0572806 | + | 0.0969731i | ||||
\(491\) | −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 | ||||
\(497\) | 27.1738 | + | 5.37757i | 1.21891 | + | 0.241217i | ||||
\(498\) | 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 | 0.994657 | − | 0.103231i | \(-0.0329179\pi\) |
−0.243734 | + | 0.969842i | \(0.578372\pi\) | |||||||
\(504\) | −1.26110 | − | 5.31348i | −0.0561738 | − | 0.236681i | ||||
\(505\) | 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 | −0.417421 | − | 0.908713i | \(-0.637066\pi\) |
0.840058 | + | 0.542496i | \(0.182521\pi\) | |||||||
\(510\) | −0.154501 | − | 0.240409i | −0.00684143 | − | 0.0106455i | ||||
\(511\) | −2.33902 | − | 25.8530i | −0.103472 | − | 1.14367i | ||||
\(512\) | 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 | ||||
\(518\) | 19.4556 | + | 6.84216i | 0.854831 | + | 0.300627i | ||||
\(519\) | −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 | −0.576235 | − | 0.817284i | \(-0.695479\pi\) |
0.890972 | + | 0.454058i | \(0.150024\pi\) | |||||||
\(522\) | 4.64851 | − | 10.1788i | 0.203460 | − | 0.445515i | ||||
\(523\) | −9.12480 | − | 5.86415i | −0.399000 | − | 0.256422i | 0.325719 | − | 0.945467i | \(-0.394394\pi\) |
−0.724718 | + | 0.689045i | \(0.758030\pi\) | |||||||
\(524\) | −2.21860 | + | 0.318987i | −0.0969201 | + | 0.0139350i | ||||
\(525\) | −25.1988 | + | 14.3820i | −1.09977 | + | 0.627681i | ||||
\(526\) | −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 | ||||
\(532\) | 16.3359 | − | 12.7158i | 0.708252 | − | 0.551298i | ||||
\(533\) | 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 | ||||
\(539\) | 26.1980 | − | 8.77652i | 1.12843 | − | 0.378031i | ||||
\(540\) | 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 | ||||
\(546\) | 18.9185 | − | 26.2896i | 0.809635 | − | 1.12509i | ||||
\(547\) | −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 | ||||
\(560\) | 0.678737 | + | 0.653648i | 0.0286819 | + | 0.0276217i | ||||
\(561\) | −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 | 0.0912494 | − | 0.995828i | \(-0.470914\pi\) |
−0.461621 | + | 0.887077i | \(0.652732\pi\) | |||||||
\(564\) | 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 | ||||
\(567\) | −20.8329 | − | 20.0628i | −0.874901 | − | 0.842560i | ||||
\(568\) | 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 | 0.952520 | − | 0.304476i | \(-0.0984813\pi\) |
−0.965923 | + | 0.258830i | \(0.916663\pi\) | |||||||
\(578\) | 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 | ||||
\(581\) | −2.35405 | + | 3.27126i | −0.0976625 | + | 0.135715i | ||||
\(582\) | −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 | \(-0.643948\pi\) |
0.853895 | − | 0.520446i | \(-0.174234\pi\) | |||||||
\(588\) | 14.9366 | − | 5.00386i | 0.615975 | − | 0.206356i | ||||
\(589\) | −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 | −0.319438 | − | 0.947607i | \(-0.603494\pi\) |
−0.0395264 | + | 0.999219i | \(0.512585\pi\) | |||||||
\(594\) | −6.99321 | + | 4.49426i | −0.286935 | + | 0.184402i | ||||
\(595\) | 0.265132 | − | 0.206377i | 0.0108694 | − | 0.00846064i | ||||
\(596\) | −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 | −0.966442 | − | 0.256885i | \(-0.917304\pi\) |
0.116731 | + | 0.993164i | \(0.462758\pi\) | |||||||
\(602\) | −6.22944 | + | 3.55539i | −0.253893 | + | 0.144907i | ||||
\(603\) | 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 | −0.586519 | − | 0.809936i | \(-0.699502\pi\) |
−0.790946 | + | 0.611886i | \(0.790411\pi\) | |||||||
\(608\) | −3.25039 | − | 7.11736i | −0.131821 | − | 0.288647i | ||||
\(609\) | 30.4495 | + | 10.7085i | 1.23388 | + | 0.433930i | ||||
\(610\) | 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 | ||||
\(616\) | −0.940955 | − | 10.4003i | −0.0379122 | − | 0.419041i | ||||
\(617\) | 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 | −0.695928 | − | 0.718112i | \(-0.745007\pi\) |
−0.197211 | + | 0.980361i | \(0.563188\pi\) | |||||||
\(620\) | − | 1.11462i | − | 0.0447643i | ||||||
\(621\) | 6.74492 | − | 7.51848i | 0.270664 | − | 0.301706i | ||||
\(622\) | 9.79301i | 0.392664i | ||||||||
\(623\) | −8.85350 | − | 37.3031i | −0.354708 | − | 1.49452i | ||||
\(624\) | −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 | ||||
\(630\) | −1.90801 | − | 0.377586i | −0.0760168 | − | 0.0150434i | ||||
\(631\) | −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 | ||||
\(637\) | 32.7873 | + | 19.3670i | 1.29908 | + | 0.767347i | ||||
\(638\) | 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 | \(-0.215069\pi\) | ||||
0.780295 | + | 0.625411i | \(0.215069\pi\) | |||||||
\(644\) | 4.45333 | + | 11.8814i | 0.175486 | + | 0.468193i | ||||
\(645\) | 2.17282 | 0.0855546 | ||||||||
\(646\) | −2.67685 | + | 0.785995i | −0.105319 | + | 0.0309246i | ||||
\(647\) | −10.9682 | + | 9.50400i | −0.431205 | + | 0.373641i | −0.843249 | − | 0.537523i | \(-0.819360\pi\) |
0.412045 | + | 0.911164i | \(0.364815\pi\) | |||||||
\(648\) | −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 | ||||
\(651\) | −16.5191 | − | 8.62041i | −0.647434 | − | 0.337861i | ||||
\(652\) | 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 | ||||
\(658\) | −6.45543 | + | 32.6204i | −0.251659 | + | 1.27168i | ||||
\(659\) | 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 | 0.443927 | − | 0.896063i | \(-0.353585\pi\) |
−0.630673 | + | 0.776048i | \(0.717221\pi\) | |||||||
\(662\) | −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 | ||||
\(665\) | −1.70261 | − | 7.17373i | −0.0660243 | − | 0.278185i | ||||
\(666\) | 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 | ||||
\(672\) | −0.536478 | − | 5.92966i | −0.0206951 | − | 0.228742i | ||||
\(673\) | −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 | \(0.310791\pi\) |
0.259379 | + | 0.965776i | \(0.416482\pi\) | |||||||
\(678\) | −7.54738 | − | 2.21611i | −0.289855 | − | 0.0851092i | ||||
\(679\) | 10.4304 | − | 29.6586i | 0.400280 | − | 1.13819i | ||||
\(680\) | −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 | ||||
\(686\) | 7.44148 | + | 16.9595i | 0.284117 | + | 0.647516i | ||||
\(687\) | −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 | \(-0.865689\pi\) | ||
0.912292 | − | 0.409541i | \(-0.134311\pi\) | |||||||
\(692\) | −0.459715 | − | 1.56565i | −0.0174757 | − | 0.0595169i | ||||
\(693\) | 13.2400 | + | 17.0094i | 0.502945 | + | 0.646133i | ||||
\(694\) | 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 | ||||
\(700\) | −11.9933 | + | 4.73233i | −0.453303 | + | 0.178865i | ||||
\(701\) | −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 | ||||
\(707\) | 29.2888 | + | 21.0767i | 1.10152 | + | 0.792671i | ||||
\(708\) | −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 | −0.693735 | − | 0.720231i | \(-0.744036\pi\) |
0.943333 | + | 0.331849i | \(0.107672\pi\) | |||||||
\(720\) | −0.305390 | + | 0.668711i | −0.0113812 | + | 0.0249214i | ||||
\(721\) | −13.1961 | − | 12.7083i | −0.491448 | − | 0.473282i | ||||
\(722\) | −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 | \(-0.663469\pi\) |
0.716764 | − | 0.697315i | \(-0.245622\pi\) | |||||||
\(728\) | 9.98389 | − | 10.3671i | 0.370028 | − | 0.384231i | ||||
\(729\) | 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 | 0.961911 | − | 0.273363i | \(-0.0881359\pi\) |
−0.407475 | + | 0.913217i | \(0.633590\pi\) | |||||||
\(734\) | −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 | ||||
\(742\) | −18.1466 | − | 13.0586i | −0.666181 | − | 0.479395i | ||||
\(743\) | 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 | ||||
\(749\) | −3.84031 | − | 9.73260i | −0.140322 | − | 0.355621i | ||||
\(750\) | 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 | ||||
\(756\) | −3.42272 | − | 4.39716i | −0.124483 | − | 0.159923i | ||||
\(757\) | 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 | 0.999842 | − | 0.0177578i | \(-0.00565277\pi\) |
−0.850721 | + | 0.525617i | \(0.823835\pi\) | |||||||
\(762\) | 5.06830 | − | 4.39170i | 0.183605 | − | 0.159095i | ||||
\(763\) | 10.8985 | − | 6.22020i | 0.394552 | − | 0.225186i | ||||
\(764\) | −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 | \(-0.967814\pi\) |
0.575229 | − | 0.817992i | \(-0.304913\pi\) | |||||||
\(770\) | −3.50864 | − | 1.23392i | −0.126442 | − | 0.0444673i | ||||
\(771\) | −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 | −0.996931 | − | 0.0782802i | \(-0.975057\pi\) |
0.978603 | + | 0.205759i | \(0.0659662\pi\) | |||||||
\(774\) | −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 | ||||
\(777\) | −46.2218 | + | 4.18186i | −1.65820 | + | 0.150023i | ||||
\(778\) | 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 | ||||||
\(784\) | 6.88633 | − | 1.25635i | 0.245940 | − | 0.0448696i | ||||
\(785\) | 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 | \(-0.984053\pi\) |
0.944181 | − | 0.329427i | \(-0.106856\pi\) | |||||||
\(788\) | 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 | ||||
\(791\) | 1.79534 | − | 9.07215i | 0.0638349 | − | 0.322569i | ||||
\(792\) | 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 | −0.644705 | − | 0.764432i | \(-0.723020\pi\) |
0.848402 | + | 0.529353i | \(0.177565\pi\) | |||||||
\(798\) | −21.5524 | + | 41.3004i | −0.762948 | + | 1.46202i | ||||
\(799\) | 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 | ||||||||
\(805\) | 4.50814 | + | 0.315137i | 0.158891 | + | 0.0111071i | ||||
\(806\) | −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 | −0.867356 | − | 0.497688i | \(-0.834182\pi\) |
0.813026 | + | 0.582228i | \(0.197819\pi\) | |||||||
\(812\) | 12.7160 | + | 6.63580i | 0.446245 | + | 0.232871i | ||||
\(813\) | 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 | ||||
\(819\) | −5.76730 | + | 29.1431i | −0.201526 | + | 1.01834i | ||||
\(820\) | −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 | ||||
\(826\) | 14.4916 | − | 3.43944i | 0.504229 | − | 0.119673i | ||||
\(827\) | − | 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 | \(0.253413\pi\) | ||||
−0.699484 | + | 0.714648i | \(0.746587\pi\) | |||||||
\(830\) | 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 | ||||
\(833\) | −0.0939646 | − | 2.49413i | −0.00325568 | − | 0.0864167i | ||||
\(834\) | 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 | 0.394874 | − | 0.918735i | \(-0.370788\pi\) |
−0.164517 | + | 0.986374i | \(0.552607\pi\) | |||||||
\(840\) | −2.00042 | − | 0.703509i | −0.0690211 | − | 0.0242734i | ||||
\(841\) | 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 | ||||
\(847\) | 6.00504 | + | 10.5215i | 0.206335 | + | 0.361523i | ||||
\(848\) | −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 | 0.999916 | − | 0.0129913i | \(-0.00413536\pi\) |
−0.848206 | + | 0.529666i | \(0.822317\pi\) | |||||||
\(854\) | 22.8055 | − | 17.7517i | 0.780389 | − | 0.607450i | ||||
\(855\) | 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 | −0.678287 | − | 0.734797i | \(-0.737277\pi\) |
0.950166 | + | 0.311746i | \(0.100914\pi\) | |||||||
\(858\) | 43.9525 | + | 20.0724i | 1.50051 | + | 0.685261i | ||||
\(859\) | 13.4305 | + | 11.6376i | 0.458242 | + | 0.397069i | 0.853162 | − | 0.521647i | \(-0.174682\pi\) |
−0.394920 | + | 0.918716i | \(0.629228\pi\) | |||||||
\(860\) | 0.955717 | + | 0.137411i | 0.0325897 | + | 0.00468569i | ||||
\(861\) | −23.1823 | + | 9.14733i | −0.790050 | + | 0.311740i | ||||
\(862\) | 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 | ||||
\(868\) | −6.72078 | − | 4.83638i | −0.228118 | − | 0.164158i | ||||
\(869\) | 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 | \(0.304152\pi\) |
−0.995131 | + | 0.0985638i | \(0.968575\pi\) | |||||||
\(882\) | −10.5556 | + | 9.86626i | −0.355426 | + | 0.332214i | ||||
\(883\) | 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 | −0.797343 | − | 0.603527i | \(-0.793762\pi\) |
−0.0660331 | + | 0.997817i | \(0.521034\pi\) | |||||||
\(888\) | −2.49642 | + | 17.3630i | −0.0837745 | + | 0.582664i | ||||
\(889\) | 5.67926 | + | 5.46933i | 0.190476 | + | 0.183435i | ||||
\(890\) | −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 | ||||
\(903\) | 9.42794 | − | 13.1013i | 0.313742 | − | 0.435985i | ||||
\(904\) | −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 | ||||
\(910\) | −1.88151 | − | 4.76836i | −0.0623714 | − | 0.158069i | ||||
\(911\) | −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 | ||||
\(917\) | 3.64261 | + | 4.67964i | 0.120289 | + | 0.154535i | ||||
\(918\) | 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 | ||||
\(924\) | 11.6487 | + | 20.4098i | 0.383213 | + | 0.671432i | ||||
\(925\) | 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 | −0.736104 | − | 0.676868i | \(-0.763337\pi\) |
−0.896982 | + | 0.442066i | \(0.854246\pi\) | |||||||
\(930\) | 1.04198 | + | 2.28162i | 0.0341680 | + | 0.0748174i | ||||
\(931\) | −50.6428 | − | 20.8609i | −1.65975 | − | 0.683690i | ||||
\(932\) | 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 | 0.739990 | − | 0.672617i | \(-0.234830\pi\) |
−0.304431 | + | 0.952534i | \(0.598466\pi\) | |||||||
\(938\) | 1.85184 | + | 20.4683i | 0.0604648 | + | 0.668313i | ||||
\(939\) | 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 | 0.000824304 | − | 1.00000i | \(-0.499738\pi\) |
0.541334 | + | 0.840808i | \(0.317919\pi\) | |||||||
\(942\) | − | 21.0320i | − | 0.685259i | ||||||
\(943\) | −8.02355 | − | 18.4012i | −0.261283 | − | 0.599225i | ||||
\(944\) | − | 5.62948i | − | 0.183224i | ||||||
\(945\) | −1.93096 | + | 0.458293i | −0.0628142 | + | 0.0149083i | ||||
\(946\) | −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 | ||||
\(952\) | −0.925416 | − | 0.183136i | −0.0299929 | − | 0.00593547i | ||||
\(953\) | 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 | ||||
\(959\) | −18.9134 | + | 36.2434i | −0.610746 | + | 1.17036i | ||||
\(960\) | −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 | ||||||||
\(966\) | −20.2231 | − | 20.1581i | −0.650666 | − | 0.648575i | ||||
\(967\) | −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 | \(-0.894233\pi\) |
0.815110 | − | 0.579306i | \(-0.196676\pi\) | |||||||
\(972\) | 9.88404 | − | 15.3799i | 0.317031 | − | 0.493309i | ||||
\(973\) | −1.23080 | + | 2.35855i | −0.0394576 | + | 0.0756117i | ||||
\(974\) | 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 | ||||
\(980\) | 0.611834 | − | 2.41686i | 0.0195443 | − | 0.0772039i | ||||
\(981\) | 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 | −0.0708219 | − | 0.997489i | \(-0.522562\pi\) |
−0.936768 | + | 0.349950i | \(0.886199\pi\) | |||||||
\(984\) | 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 | ||||
\(987\) | −17.2803 | − | 72.8085i | −0.550039 | − | 2.31752i | ||||
\(988\) | 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 | ||||
\(994\) | −27.5881 | + | 2.49600i | −0.875041 | + | 0.0791682i | ||||
\(995\) | −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 | 0.428047 | − | 0.903757i | \(-0.359202\pi\) |
−0.833640 | + | 0.552308i | \(0.813747\pi\) | |||||||
\(998\) | 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.83.7 | yes | 80 | |
7.6 | odd | 2 | inner | 322.2.k.a.83.2 | ✓ | 80 | |
23.5 | odd | 22 | inner | 322.2.k.a.97.2 | yes | 80 | |
161.97 | even | 22 | inner | 322.2.k.a.97.7 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
322.2.k.a.83.2 | ✓ | 80 | 7.6 | odd | 2 | inner | |
322.2.k.a.83.7 | yes | 80 | 1.1 | even | 1 | trivial | |
322.2.k.a.97.2 | yes | 80 | 23.5 | odd | 22 | inner | |
322.2.k.a.97.7 | yes | 80 | 161.97 | even | 22 | inner |