Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [507,2,Mod(16,507)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(507, base_ring=CyclotomicField(78))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("507.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 507 = 3 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 507.q (of order \(39\), degree \(24\), 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: | \(4.04841538248\) |
Analytic rank: | \(0\) |
Dimension: | \(360\) |
Relative dimension: | \(15\) over \(\Q(\zeta_{39})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{39}]$ |
Embedding invariants
Embedding label | 16.12 | ||
Character | \(\chi\) | \(=\) | 507.16 |
Dual form | 507.2.q.a.412.12 |
$q$-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 \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).
\(n\) | \(170\) | \(340\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{39}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.66608 | + | 0.134500i | 1.17810 | + | 0.0951058i | 0.653961 | − | 0.756529i | \(-0.273106\pi\) |
0.524136 | + | 0.851634i | \(0.324388\pi\) | |||||||
\(3\) | 0.845190 | + | 0.534466i | 0.487971 | + | 0.308574i | ||||
\(4\) | 0.783635 | + | 0.127353i | 0.391817 | + | 0.0636765i | ||||
\(5\) | 2.48154 | + | 2.19845i | 1.10978 | + | 0.983176i | 0.999942 | − | 0.0107736i | \(-0.00342941\pi\) |
0.109835 | + | 0.993950i | \(0.464968\pi\) | |||||||
\(6\) | 1.33627 | + | 1.00414i | 0.545530 | + | 0.409939i | ||||
\(7\) | 2.05375 | − | 2.13818i | 0.776244 | − | 0.808156i | −0.209251 | − | 0.977862i | \(-0.567102\pi\) |
0.985495 | + | 0.169706i | \(0.0542820\pi\) | |||||||
\(8\) | −1.95739 | − | 0.482453i | −0.692042 | − | 0.170573i | ||||
\(9\) | 0.428693 | + | 0.903450i | 0.142898 | + | 0.301150i | ||||
\(10\) | 3.83875 | + | 3.99656i | 1.21392 | + | 1.26382i | ||||
\(11\) | 0.456872 | − | 0.962837i | 0.137752 | − | 0.290306i | −0.822838 | − | 0.568277i | \(-0.807610\pi\) |
0.960590 | + | 0.277970i | \(0.0896616\pi\) | |||||||
\(12\) | 0.594254 | + | 0.526463i | 0.171546 | + | 0.151977i | ||||
\(13\) | −2.89957 | − | 2.14302i | −0.804195 | − | 0.594366i | ||||
\(14\) | 3.70930 | − | 3.28615i | 0.991351 | − | 0.878260i | ||||
\(15\) | 0.922374 | + | 3.18440i | 0.238156 | + | 0.822209i | ||||
\(16\) | −4.70240 | − | 1.56989i | −1.17560 | − | 0.392473i | ||||
\(17\) | 1.39811 | − | 1.45559i | 0.339092 | − | 0.353033i | −0.529721 | − | 0.848172i | \(-0.677703\pi\) |
0.868814 | + | 0.495139i | \(0.164883\pi\) | |||||||
\(18\) | 0.592722 | + | 1.56288i | 0.139706 | + | 0.368374i | ||||
\(19\) | −4.10438 | + | 7.10900i | −0.941610 | + | 1.63092i | −0.179210 | + | 0.983811i | \(0.557354\pi\) |
−0.762400 | + | 0.647106i | \(0.775979\pi\) | |||||||
\(20\) | 1.66464 | + | 2.03881i | 0.372224 | + | 0.455892i | ||||
\(21\) | 2.87859 | − | 0.709509i | 0.628160 | − | 0.154828i | ||||
\(22\) | 0.890687 | − | 1.54272i | 0.189895 | − | 0.328908i | ||||
\(23\) | 0.601302 | + | 1.04149i | 0.125380 | + | 0.217165i | 0.921881 | − | 0.387472i | \(-0.126652\pi\) |
−0.796501 | + | 0.604637i | \(0.793318\pi\) | |||||||
\(24\) | −1.39651 | − | 1.45392i | −0.285062 | − | 0.296781i | ||||
\(25\) | 0.722159 | + | 5.94752i | 0.144432 | + | 1.18950i | ||||
\(26\) | −4.54268 | − | 3.96043i | −0.890892 | − | 0.776704i | ||||
\(27\) | −0.120537 | + | 0.992709i | −0.0231973 | + | 0.191047i | ||||
\(28\) | 1.88169 | − | 1.41400i | 0.355606 | − | 0.267221i | ||||
\(29\) | −2.88783 | − | 0.233130i | −0.536257 | − | 0.0432911i | −0.190628 | − | 0.981662i | \(-0.561052\pi\) |
−0.345629 | + | 0.938371i | \(0.612334\pi\) | |||||||
\(30\) | 1.10845 | + | 5.42953i | 0.202374 | + | 0.991293i | ||||
\(31\) | 0.447434 | − | 3.68495i | 0.0803615 | − | 0.661836i | −0.895749 | − | 0.444561i | \(-0.853360\pi\) |
0.976110 | − | 0.217276i | \(-0.0697171\pi\) | |||||||
\(32\) | −3.91412 | − | 1.66765i | −0.691925 | − | 0.294802i | ||||
\(33\) | 0.900747 | − | 0.569598i | 0.156800 | − | 0.0991543i | ||||
\(34\) | 2.52515 | − | 2.23709i | 0.433059 | − | 0.383657i | ||||
\(35\) | 9.79713 | − | 0.790906i | 1.65602 | − | 0.133687i | ||||
\(36\) | 0.220881 | + | 0.762570i | 0.0368135 | + | 0.127095i | ||||
\(37\) | 1.93799 | − | 0.825698i | 0.318603 | − | 0.135744i | −0.226744 | − | 0.973954i | \(-0.572808\pi\) |
0.545347 | + | 0.838210i | \(0.316398\pi\) | |||||||
\(38\) | −7.79440 | + | 11.2921i | −1.26442 | + | 1.83183i | ||||
\(39\) | −1.30532 | − | 3.36097i | −0.209018 | − | 0.538187i | ||||
\(40\) | −3.79669 | − | 5.50045i | −0.600309 | − | 0.869697i | ||||
\(41\) | 1.53005 | + | 0.967545i | 0.238954 | + | 0.151105i | 0.648576 | − | 0.761150i | \(-0.275365\pi\) |
−0.409622 | + | 0.912255i | \(0.634339\pi\) | |||||||
\(42\) | 4.89139 | − | 0.794929i | 0.754759 | − | 0.122660i | ||||
\(43\) | −7.39127 | − | 3.14913i | −1.12716 | − | 0.480237i | −0.253771 | − | 0.967264i | \(-0.581671\pi\) |
−0.873387 | + | 0.487027i | \(0.838081\pi\) | |||||||
\(44\) | 0.480641 | − | 0.696329i | 0.0724594 | − | 0.104976i | ||||
\(45\) | −0.922374 | + | 3.18440i | −0.137499 | + | 0.474703i | ||||
\(46\) | 0.861738 | + | 1.81607i | 0.127056 | + | 0.267766i | ||||
\(47\) | 2.39336 | − | 6.31077i | 0.349107 | − | 0.920520i | −0.639336 | − | 0.768928i | \(-0.720791\pi\) |
0.988443 | − | 0.151592i | \(-0.0484401\pi\) | |||||||
\(48\) | −3.13537 | − | 3.84013i | −0.452551 | − | 0.554275i | ||||
\(49\) | −0.0720636 | − | 1.78824i | −0.0102948 | − | 0.255463i | ||||
\(50\) | 0.403235 | + | 10.0062i | 0.0570260 | + | 1.41509i | ||||
\(51\) | 1.95964 | − | 0.483007i | 0.274404 | − | 0.0676345i | ||||
\(52\) | −1.99928 | − | 2.04861i | −0.277250 | − | 0.284091i | ||||
\(53\) | 8.12976 | + | 2.00381i | 1.11671 | + | 0.275244i | 0.754141 | − | 0.656713i | \(-0.228054\pi\) |
0.362569 | + | 0.931957i | \(0.381900\pi\) | |||||||
\(54\) | −0.334343 | + | 1.63772i | −0.0454983 | + | 0.222866i | ||||
\(55\) | 3.25049 | − | 1.38491i | 0.438296 | − | 0.186741i | ||||
\(56\) | −5.05156 | + | 3.19441i | −0.675043 | + | 0.426871i | ||||
\(57\) | −7.26850 | + | 3.81480i | −0.962737 | + | 0.505283i | ||||
\(58\) | −4.78001 | − | 0.776827i | −0.627646 | − | 0.102002i | ||||
\(59\) | −13.7516 | + | 4.59097i | −1.79031 | + | 0.597694i | −0.999889 | − | 0.0148690i | \(-0.995267\pi\) |
−0.790422 | + | 0.612563i | \(0.790139\pi\) | |||||||
\(60\) | 0.317261 | + | 2.61288i | 0.0409582 | + | 0.337321i | ||||
\(61\) | 2.40168 | − | 8.29157i | 0.307504 | − | 1.06163i | −0.646768 | − | 0.762687i | \(-0.723880\pi\) |
0.954272 | − | 0.298940i | \(-0.0966331\pi\) | |||||||
\(62\) | 1.24109 | − | 6.07924i | 0.157618 | − | 0.772065i | ||||
\(63\) | 2.81217 | + | 0.938839i | 0.354300 | + | 0.118283i | ||||
\(64\) | 2.48241 | + | 1.30287i | 0.310301 | + | 0.162859i | ||||
\(65\) | −2.48407 | − | 11.6925i | −0.308111 | − | 1.45028i | ||||
\(66\) | 1.57733 | − | 0.827846i | 0.194156 | − | 0.101901i | ||||
\(67\) | 1.18066 | − | 0.191876i | 0.144241 | − | 0.0234414i | −0.0878621 | − | 0.996133i | \(-0.528003\pi\) |
0.232103 | + | 0.972691i | \(0.425439\pi\) | |||||||
\(68\) | 1.28098 | − | 0.962597i | 0.155342 | − | 0.116732i | ||||
\(69\) | −0.0484240 | + | 1.20163i | −0.00582956 | + | 0.144659i | ||||
\(70\) | 16.4292 | 1.96366 | ||||||||
\(71\) | 0.451753 | − | 11.2101i | 0.0536133 | − | 1.33040i | −0.718772 | − | 0.695246i | \(-0.755296\pi\) |
0.772386 | − | 0.635154i | \(-0.219063\pi\) | |||||||
\(72\) | −0.403246 | − | 1.97523i | −0.0475230 | − | 0.232783i | ||||
\(73\) | 3.72647 | + | 5.39873i | 0.436151 | + | 0.631873i | 0.978001 | − | 0.208602i | \(-0.0668913\pi\) |
−0.541850 | + | 0.840475i | \(0.682276\pi\) | |||||||
\(74\) | 3.33990 | − | 1.11502i | 0.388255 | − | 0.129619i | ||||
\(75\) | −2.56838 | + | 5.41275i | −0.296571 | + | 0.625011i | ||||
\(76\) | −4.12169 | + | 5.04815i | −0.472790 | + | 0.579063i | ||||
\(77\) | −1.12042 | − | 2.95430i | −0.127684 | − | 0.336674i | ||||
\(78\) | −1.72271 | − | 5.77522i | −0.195059 | − | 0.653915i | ||||
\(79\) | −3.90253 | + | 10.2901i | −0.439069 | + | 1.15773i | 0.514749 | + | 0.857341i | \(0.327885\pi\) |
−0.953817 | + | 0.300387i | \(0.902884\pi\) | |||||||
\(80\) | −8.21784 | − | 14.2337i | −0.918783 | − | 1.59138i | ||||
\(81\) | −0.632445 | + | 0.774605i | −0.0702717 | + | 0.0860672i | ||||
\(82\) | 2.41905 | + | 1.81780i | 0.267140 | + | 0.200742i | ||||
\(83\) | 3.42356 | + | 1.79682i | 0.375785 | + | 0.197227i | 0.642032 | − | 0.766678i | \(-0.278092\pi\) |
−0.266247 | + | 0.963905i | \(0.585784\pi\) | |||||||
\(84\) | 2.34612 | − | 0.189399i | 0.255983 | − | 0.0206651i | ||||
\(85\) | 6.66951 | − | 0.538419i | 0.723410 | − | 0.0583997i | ||||
\(86\) | −11.8909 | − | 6.24082i | −1.28223 | − | 0.672965i | ||||
\(87\) | −2.31617 | − | 1.74049i | −0.248319 | − | 0.186600i | ||||
\(88\) | −1.35880 | + | 1.66423i | −0.144849 | + | 0.177407i | ||||
\(89\) | −8.58666 | − | 14.8725i | −0.910185 | − | 1.57649i | −0.813802 | − | 0.581142i | \(-0.802606\pi\) |
−0.0963822 | − | 0.995344i | \(-0.530727\pi\) | |||||||
\(90\) | −1.96505 | + | 5.18141i | −0.207135 | + | 0.546169i | ||||
\(91\) | −10.5371 | + | 1.79858i | −1.10459 | + | 0.188542i | ||||
\(92\) | 0.338565 | + | 0.892722i | 0.0352978 | + | 0.0930727i | ||||
\(93\) | 2.34765 | − | 2.87534i | 0.243440 | − | 0.298159i | ||||
\(94\) | 4.83633 | − | 10.1923i | 0.498829 | − | 1.05126i | ||||
\(95\) | −25.8140 | + | 8.61796i | −2.64846 | + | 0.884184i | ||||
\(96\) | −2.41687 | − | 3.50144i | −0.246671 | − | 0.357365i | ||||
\(97\) | 0.209023 | + | 1.02386i | 0.0212231 | + | 0.103957i | 0.989022 | − | 0.147765i | \(-0.0472080\pi\) |
−0.967799 | + | 0.251723i | \(0.919003\pi\) | |||||||
\(98\) | 0.120454 | − | 2.98904i | 0.0121677 | − | 0.301939i | ||||
\(99\) | 1.06573 | 0.107110 | ||||||||
\(100\) | −0.191525 | + | 4.75265i | −0.0191525 | + | 0.475265i | ||||
\(101\) | −3.68105 | + | 2.76613i | −0.366279 | + | 0.275241i | −0.767906 | − | 0.640563i | \(-0.778701\pi\) |
0.401627 | + | 0.915803i | \(0.368445\pi\) | |||||||
\(102\) | 3.32987 | − | 0.541157i | 0.329707 | − | 0.0535826i | ||||
\(103\) | −8.82637 | + | 4.63244i | −0.869688 | + | 0.456447i | −0.839667 | − | 0.543102i | \(-0.817250\pi\) |
−0.0300211 | + | 0.999549i | \(0.509557\pi\) | |||||||
\(104\) | 4.64168 | + | 5.59362i | 0.455154 | + | 0.548500i | ||||
\(105\) | 8.70315 | + | 4.56776i | 0.849340 | + | 0.445768i | ||||
\(106\) | 13.2753 | + | 4.43196i | 1.28941 | + | 0.430470i | ||||
\(107\) | −2.17078 | + | 10.6332i | −0.209857 | + | 1.02795i | 0.729230 | + | 0.684269i | \(0.239879\pi\) |
−0.939087 | + | 0.343680i | \(0.888326\pi\) | |||||||
\(108\) | −0.220881 | + | 0.762570i | −0.0212543 | + | 0.0733784i | ||||
\(109\) | 0.926591 | + | 7.63117i | 0.0887514 | + | 0.730933i | 0.967363 | + | 0.253396i | \(0.0815475\pi\) |
−0.878611 | + | 0.477538i | \(0.841529\pi\) | |||||||
\(110\) | 5.60185 | − | 1.87017i | 0.534116 | − | 0.178314i | ||||
\(111\) | 2.07927 | + | 0.337915i | 0.197356 | + | 0.0320735i | ||||
\(112\) | −13.0142 | + | 6.83040i | −1.22973 | + | 0.645413i | ||||
\(113\) | 6.87298 | − | 4.34621i | 0.646556 | − | 0.408857i | −0.170547 | − | 0.985350i | \(-0.554553\pi\) |
0.817103 | + | 0.576492i | \(0.195579\pi\) | |||||||
\(114\) | −12.6230 | + | 5.37816i | −1.18225 | + | 0.503711i | ||||
\(115\) | −0.797501 | + | 3.90642i | −0.0743673 | + | 0.364275i | ||||
\(116\) | −2.23332 | − | 0.550463i | −0.207358 | − | 0.0511092i | ||||
\(117\) | 0.693086 | − | 3.53831i | 0.0640758 | − | 0.327117i | ||||
\(118\) | −23.5288 | + | 5.79934i | −2.16600 | + | 0.533872i | ||||
\(119\) | −0.240939 | − | 5.97883i | −0.0220868 | − | 0.548079i | ||||
\(120\) | −0.269119 | − | 6.67812i | −0.0245671 | − | 0.609627i | ||||
\(121\) | 6.23858 | + | 7.64087i | 0.567143 | + | 0.694624i | ||||
\(122\) | 5.11662 | − | 13.4914i | 0.463237 | − | 1.22145i | ||||
\(123\) | 0.776063 | + | 1.63552i | 0.0699753 | + | 0.147470i | ||||
\(124\) | 0.819914 | − | 2.83067i | 0.0736305 | − | 0.254202i | ||||
\(125\) | −1.86673 | + | 2.70442i | −0.166965 | + | 0.241891i | ||||
\(126\) | 4.55902 | + | 1.94242i | 0.406150 | + | 0.173044i | ||||
\(127\) | 14.3747 | − | 2.33612i | 1.27555 | − | 0.207297i | 0.515348 | − | 0.856981i | \(-0.327663\pi\) |
0.760205 | + | 0.649684i | \(0.225099\pi\) | |||||||
\(128\) | 11.1525 | + | 7.05241i | 0.985751 | + | 0.623351i | ||||
\(129\) | −4.56393 | − | 6.61199i | −0.401831 | − | 0.582153i | ||||
\(130\) | −2.56602 | − | 19.8148i | −0.225054 | − | 1.73787i | ||||
\(131\) | 6.26603 | − | 9.07792i | 0.547466 | − | 0.793141i | −0.447401 | − | 0.894334i | \(-0.647650\pi\) |
0.994867 | + | 0.101192i | \(0.0322657\pi\) | |||||||
\(132\) | 0.778397 | − | 0.331644i | 0.0677508 | − | 0.0288659i | ||||
\(133\) | 6.77094 | + | 23.3760i | 0.587115 | + | 2.02696i | ||||
\(134\) | 1.99288 | − | 0.160882i | 0.172159 | − | 0.0138981i | ||||
\(135\) | −2.48154 | + | 2.19845i | −0.213577 | + | 0.189212i | ||||
\(136\) | −3.43891 | + | 2.17463i | −0.294884 | + | 0.186473i | ||||
\(137\) | 11.8408 | + | 5.04491i | 1.01163 | + | 0.431016i | 0.833221 | − | 0.552940i | \(-0.186494\pi\) |
0.178411 | + | 0.983956i | \(0.442904\pi\) | |||||||
\(138\) | −0.242297 | + | 1.99550i | −0.0206257 | + | 0.169868i | ||||
\(139\) | −3.46351 | − | 16.9654i | −0.293771 | − | 1.43898i | −0.811957 | − | 0.583717i | \(-0.801598\pi\) |
0.518186 | − | 0.855268i | \(-0.326607\pi\) | |||||||
\(140\) | 7.77809 | + | 0.627913i | 0.657369 | + | 0.0530683i | ||||
\(141\) | 5.39573 | − | 4.05463i | 0.454403 | − | 0.341461i | ||||
\(142\) | 2.26042 | − | 18.6162i | 0.189690 | − | 1.56224i | ||||
\(143\) | −3.38811 | + | 1.81273i | −0.283328 | + | 0.151588i | ||||
\(144\) | −0.597564 | − | 4.92138i | −0.0497970 | − | 0.410115i | ||||
\(145\) | −6.65374 | − | 6.92727i | −0.552563 | − | 0.575279i | ||||
\(146\) | 5.48248 | + | 9.49593i | 0.453733 | + | 0.785889i | ||||
\(147\) | 0.894845 | − | 1.54992i | 0.0738056 | − | 0.127835i | ||||
\(148\) | 1.62383 | − | 0.400238i | 0.133478 | − | 0.0328993i | ||||
\(149\) | −7.10555 | − | 8.70272i | −0.582109 | − | 0.712955i | 0.396649 | − | 0.917970i | \(-0.370173\pi\) |
−0.978759 | + | 0.205016i | \(0.934275\pi\) | |||||||
\(150\) | −5.00715 | + | 8.67263i | −0.408832 | + | 0.708118i | ||||
\(151\) | 3.64647 | + | 9.61495i | 0.296745 | + | 0.782454i | 0.997606 | + | 0.0691551i | \(0.0220303\pi\) |
−0.700860 | + | 0.713298i | \(0.747200\pi\) | |||||||
\(152\) | 11.4636 | − | 11.9349i | 0.929824 | − | 0.968050i | ||||
\(153\) | 1.91441 | + | 0.639126i | 0.154771 | + | 0.0516702i | ||||
\(154\) | −1.46935 | − | 5.07280i | −0.118404 | − | 0.408778i | ||||
\(155\) | 9.21150 | − | 8.16067i | 0.739885 | − | 0.655481i | ||||
\(156\) | −0.594861 | − | 2.80001i | −0.0476270 | − | 0.224180i | ||||
\(157\) | 9.00568 | + | 7.97833i | 0.718731 | + | 0.636740i | 0.941063 | − | 0.338231i | \(-0.109828\pi\) |
−0.222332 | + | 0.974971i | \(0.571367\pi\) | |||||||
\(158\) | −7.88594 | + | 16.6193i | −0.627372 | + | 1.32216i | ||||
\(159\) | 5.80023 | + | 6.03868i | 0.459988 | + | 0.478898i | ||||
\(160\) | −6.04678 | − | 12.7433i | −0.478040 | − | 1.00745i | ||||
\(161\) | 3.46181 | + | 0.853258i | 0.272829 | + | 0.0672462i | ||||
\(162\) | −1.15789 | + | 1.20549i | −0.0909724 | + | 0.0947123i | ||||
\(163\) | 1.53873 | + | 1.15628i | 0.120523 | + | 0.0905672i | 0.659295 | − | 0.751885i | \(-0.270855\pi\) |
−0.538772 | + | 0.842452i | \(0.681111\pi\) | |||||||
\(164\) | 1.07578 | + | 0.953058i | 0.0840043 | + | 0.0744213i | ||||
\(165\) | 3.48747 | + | 0.566769i | 0.271499 | + | 0.0441229i | ||||
\(166\) | 5.46226 | + | 3.45412i | 0.423953 | + | 0.268092i | ||||
\(167\) | −1.69419 | − | 0.136769i | −0.131100 | − | 0.0105835i | 0.0147423 | − | 0.999891i | \(-0.495307\pi\) |
−0.145842 | + | 0.989308i | \(0.546589\pi\) | |||||||
\(168\) | −5.97683 | −0.461123 | ||||||||
\(169\) | 3.81497 | + | 12.4276i | 0.293459 | + | 0.955972i | ||||
\(170\) | 11.1844 | 0.857801 | ||||||||
\(171\) | −8.18215 | − | 0.660531i | −0.625705 | − | 0.0505121i | ||||
\(172\) | −5.39100 | − | 3.40906i | −0.411060 | − | 0.259939i | ||||
\(173\) | −16.5571 | − | 2.69079i | −1.25881 | − | 0.204577i | −0.505840 | − | 0.862627i | \(-0.668817\pi\) |
−0.752974 | + | 0.658050i | \(0.771382\pi\) | |||||||
\(174\) | −3.62483 | − | 3.21132i | −0.274797 | − | 0.243449i | ||||
\(175\) | 14.2000 | + | 10.6706i | 1.07342 | + | 0.806621i | ||||
\(176\) | −3.65994 | + | 3.81040i | −0.275879 | + | 0.287220i | ||||
\(177\) | −14.0765 | − | 3.46954i | −1.05805 | − | 0.260786i | ||||
\(178\) | −12.3057 | − | 25.9338i | −0.922353 | − | 1.94382i | ||||
\(179\) | 8.00612 | + | 8.33525i | 0.598405 | + | 0.623006i | 0.949663 | − | 0.313273i | \(-0.101425\pi\) |
−0.351258 | + | 0.936279i | \(0.614246\pi\) | |||||||
\(180\) | −1.12835 | + | 2.37794i | −0.0841020 | + | 0.177241i | ||||
\(181\) | 16.9245 | + | 14.9938i | 1.25798 | + | 1.11448i | 0.988460 | + | 0.151484i | \(0.0484051\pi\) |
0.269525 | + | 0.962993i | \(0.413133\pi\) | |||||||
\(182\) | −17.7976 | + | 1.57933i | −1.31925 | + | 0.117068i | ||||
\(183\) | 6.46144 | − | 5.72434i | 0.477644 | − | 0.423155i | ||||
\(184\) | −0.674515 | − | 2.32869i | −0.0497259 | − | 0.171674i | ||||
\(185\) | 6.62444 | + | 2.21156i | 0.487038 | + | 0.162597i | ||||
\(186\) | 4.29810 | − | 4.47480i | 0.315152 | − | 0.328108i | ||||
\(187\) | −0.762738 | − | 2.01117i | −0.0557769 | − | 0.147072i | ||||
\(188\) | 2.67921 | − | 4.64053i | 0.195402 | − | 0.338446i | ||||
\(189\) | 1.87504 | + | 2.29650i | 0.136389 | + | 0.167046i | ||||
\(190\) | −44.1672 | + | 10.8862i | −3.20423 | + | 0.789772i | ||||
\(191\) | 4.26467 | − | 7.38663i | 0.308581 | − | 0.534478i | −0.669471 | − | 0.742838i | \(-0.733479\pi\) |
0.978052 | + | 0.208360i | \(0.0668126\pi\) | |||||||
\(192\) | 1.40177 | + | 2.42793i | 0.101164 | + | 0.175221i | ||||
\(193\) | 10.3931 | + | 10.8204i | 0.748115 | + | 0.778870i | 0.981077 | − | 0.193615i | \(-0.0620214\pi\) |
−0.232962 | + | 0.972486i | \(0.574842\pi\) | |||||||
\(194\) | 0.210540 | + | 1.73395i | 0.0151159 | + | 0.124490i | ||||
\(195\) | 4.14974 | − | 11.2101i | 0.297169 | − | 0.802768i | ||||
\(196\) | 0.171266 | − | 1.41050i | 0.0122333 | − | 0.100750i | ||||
\(197\) | −18.1526 | + | 13.6408i | −1.29332 | + | 0.971867i | −0.293446 | + | 0.955976i | \(0.594802\pi\) |
−0.999874 | + | 0.0158912i | \(0.994941\pi\) | |||||||
\(198\) | 1.77560 | + | 0.143341i | 0.126186 | + | 0.0101868i | ||||
\(199\) | −4.70846 | − | 23.0635i | −0.333774 | − | 1.63493i | −0.707016 | − | 0.707198i | \(-0.749959\pi\) |
0.373242 | − | 0.927734i | \(-0.378246\pi\) | |||||||
\(200\) | 1.45585 | − | 11.9900i | 0.102944 | − | 0.847822i | ||||
\(201\) | 1.10043 | + | 0.468851i | 0.0776187 | + | 0.0330702i | ||||
\(202\) | −6.50498 | + | 4.11350i | −0.457689 | + | 0.289425i | ||||
\(203\) | −6.42936 | + | 5.69591i | −0.451252 | + | 0.399775i | ||||
\(204\) | 1.59715 | − | 0.128935i | 0.111823 | − | 0.00902728i | ||||
\(205\) | 1.66978 | + | 5.76473i | 0.116622 | + | 0.402626i | ||||
\(206\) | −15.3285 | + | 6.53087i | −1.06799 | + | 0.455027i | ||||
\(207\) | −0.683157 | + | 0.989724i | −0.0474827 | + | 0.0687906i | ||||
\(208\) | 10.2706 | + | 14.6293i | 0.712139 | + | 1.01436i | ||||
\(209\) | 4.96963 | + | 7.19976i | 0.343757 | + | 0.498018i | ||||
\(210\) | 13.8858 | + | 8.78084i | 0.958210 | + | 0.605935i | ||||
\(211\) | −19.5968 | + | 3.18480i | −1.34910 | + | 0.219250i | −0.791658 | − | 0.610964i | \(-0.790782\pi\) |
−0.557444 | + | 0.830215i | \(0.688218\pi\) | |||||||
\(212\) | 6.11557 | + | 2.60560i | 0.420019 | + | 0.178954i | ||||
\(213\) | 6.37326 | − | 9.23326i | 0.436688 | − | 0.632652i | ||||
\(214\) | −5.04686 | + | 17.4238i | −0.344996 | + | 1.19107i | ||||
\(215\) | −11.4185 | − | 24.0640i | −0.778736 | − | 1.64115i | ||||
\(216\) | 0.714873 | − | 1.88497i | 0.0486410 | − | 0.128256i | ||||
\(217\) | −6.96016 | − | 8.52465i | −0.472487 | − | 0.578691i | ||||
\(218\) | 0.517385 | + | 12.8388i | 0.0350417 | + | 0.869551i | ||||
\(219\) | 0.264142 | + | 6.55462i | 0.0178491 | + | 0.442920i | ||||
\(220\) | 2.72357 | − | 0.671300i | 0.183623 | − | 0.0452590i | ||||
\(221\) | −7.17328 | + | 1.22440i | −0.482527 | + | 0.0823622i | ||||
\(222\) | 3.41879 | + | 0.842656i | 0.229454 | + | 0.0565553i | ||||
\(223\) | 0.0904816 | − | 0.443208i | 0.00605909 | − | 0.0296794i | −0.976649 | − | 0.214842i | \(-0.931076\pi\) |
0.982708 | + | 0.185163i | \(0.0592813\pi\) | |||||||
\(224\) | −11.6044 | + | 4.94415i | −0.775348 | + | 0.330345i | ||||
\(225\) | −5.06370 | + | 3.20209i | −0.337580 | + | 0.213473i | ||||
\(226\) | 12.0355 | − | 6.31672i | 0.800590 | − | 0.420182i | ||||
\(227\) | 4.92762 | + | 0.800816i | 0.327058 | + | 0.0531520i | 0.321723 | − | 0.946834i | \(-0.395738\pi\) |
0.00533435 | + | 0.999986i | \(0.498302\pi\) | |||||||
\(228\) | −6.18168 | + | 2.06375i | −0.409392 | + | 0.136675i | ||||
\(229\) | −0.249718 | − | 2.05661i | −0.0165018 | − | 0.135905i | 0.982129 | − | 0.188206i | \(-0.0602674\pi\) |
−0.998631 | + | 0.0523015i | \(0.983344\pi\) | |||||||
\(230\) | −1.85411 | + | 6.40114i | −0.122257 | + | 0.422079i | ||||
\(231\) | 0.632006 | − | 3.09577i | 0.0415829 | − | 0.203687i | ||||
\(232\) | 5.54014 | + | 1.84957i | 0.363728 | + | 0.121430i | ||||
\(233\) | −1.60701 | − | 0.843423i | −0.105279 | − | 0.0552545i | 0.411262 | − | 0.911517i | \(-0.365088\pi\) |
−0.516541 | + | 0.856263i | \(0.672780\pi\) | |||||||
\(234\) | 1.63064 | − | 5.80189i | 0.106598 | − | 0.379281i | ||||
\(235\) | 19.8131 | − | 10.3987i | 1.29246 | − | 0.678338i | ||||
\(236\) | −11.3609 | + | 1.84633i | −0.739534 | + | 0.120186i | ||||
\(237\) | −8.79809 | + | 6.61134i | −0.571498 | + | 0.429453i | ||||
\(238\) | 0.402729 | − | 9.99363i | 0.0261051 | − | 0.647791i | ||||
\(239\) | 2.67774 | 0.173208 | 0.0866042 | − | 0.996243i | \(-0.472398\pi\) | ||||
0.0866042 | + | 0.996243i | \(0.472398\pi\) | |||||||
\(240\) | 0.661798 | − | 16.4224i | 0.0427189 | − | 1.06006i | ||||
\(241\) | 5.65507 | + | 27.7004i | 0.364275 | + | 1.78434i | 0.587136 | + | 0.809488i | \(0.300255\pi\) |
−0.222861 | + | 0.974850i | \(0.571540\pi\) | |||||||
\(242\) | 9.36627 | + | 13.5694i | 0.602087 | + | 0.872273i | ||||
\(243\) | −0.948536 | + | 0.316668i | −0.0608486 | + | 0.0203143i | ||||
\(244\) | 2.93800 | − | 6.19170i | 0.188086 | − | 0.396383i | ||||
\(245\) | 3.75252 | − | 4.59601i | 0.239740 | − | 0.293628i | ||||
\(246\) | 1.07301 | + | 2.82929i | 0.0684124 | + | 0.180389i | ||||
\(247\) | 27.1356 | − | 11.8173i | 1.72660 | − | 0.751914i | ||||
\(248\) | −2.65362 | + | 6.99702i | −0.168505 | + | 0.444311i | ||||
\(249\) | 1.93322 | + | 3.34843i | 0.122513 | + | 0.212198i | ||||
\(250\) | −3.47386 | + | 4.25471i | −0.219706 | + | 0.269092i | ||||
\(251\) | −7.30383 | − | 5.48847i | −0.461014 | − | 0.346429i | 0.344722 | − | 0.938705i | \(-0.387973\pi\) |
−0.805735 | + | 0.592276i | \(0.798230\pi\) | |||||||
\(252\) | 2.08415 | + | 1.09384i | 0.131289 | + | 0.0689057i | ||||
\(253\) | 1.27750 | − | 0.103130i | 0.0803157 | − | 0.00648375i | ||||
\(254\) | 24.2637 | − | 1.95877i | 1.52244 | − | 0.122904i | ||||
\(255\) | 5.92477 | + | 3.10956i | 0.371024 | + | 0.194728i | ||||
\(256\) | 13.1499 | + | 9.88150i | 0.821868 | + | 0.617594i | ||||
\(257\) | 3.16697 | − | 3.87883i | 0.197550 | − | 0.241955i | −0.666325 | − | 0.745662i | \(-0.732133\pi\) |
0.863875 | + | 0.503707i | \(0.168031\pi\) | |||||||
\(258\) | −6.71456 | − | 11.6300i | −0.418030 | − | 0.724050i | ||||
\(259\) | 2.21464 | − | 5.83954i | 0.137611 | − | 0.362851i | ||||
\(260\) | −0.457524 | − | 9.47902i | −0.0283744 | − | 0.587864i | ||||
\(261\) | −1.02737 | − | 2.70895i | −0.0635927 | − | 0.167680i | ||||
\(262\) | 11.6607 | − | 14.2818i | 0.720400 | − | 0.882330i | ||||
\(263\) | 9.79656 | − | 20.6458i | 0.604082 | − | 1.27308i | −0.339085 | − | 0.940756i | \(-0.610117\pi\) |
0.943167 | − | 0.332320i | \(-0.107831\pi\) | |||||||
\(264\) | −2.03792 | + | 0.680357i | −0.125425 | + | 0.0418731i | ||||
\(265\) | 15.7690 | + | 22.8454i | 0.968684 | + | 1.40338i | ||||
\(266\) | 8.13687 | + | 39.8570i | 0.498903 | + | 2.44379i | ||||
\(267\) | 0.691500 | − | 17.1594i | 0.0423191 | − | 1.05014i | ||||
\(268\) | 0.949643 | 0.0580087 | ||||||||
\(269\) | −1.12468 | + | 27.9085i | −0.0685727 | + | 1.70161i | 0.489648 | + | 0.871920i | \(0.337125\pi\) |
−0.558220 | + | 0.829693i | \(0.688516\pi\) | |||||||
\(270\) | −4.43013 | + | 3.32903i | −0.269609 | + | 0.202598i | ||||
\(271\) | −6.12872 | + | 0.996014i | −0.372293 | + | 0.0605036i | −0.343680 | − | 0.939087i | \(-0.611673\pi\) |
−0.0286138 | + | 0.999591i | \(0.509109\pi\) | |||||||
\(272\) | −8.85960 | + | 4.64988i | −0.537192 | + | 0.281940i | ||||
\(273\) | −9.86716 | − | 4.11160i | −0.597187 | − | 0.248845i | ||||
\(274\) | 19.0493 | + | 9.99783i | 1.15081 | + | 0.603991i | ||||
\(275\) | 6.05643 | + | 2.02193i | 0.365216 | + | 0.121927i | ||||
\(276\) | −0.190978 | + | 0.935471i | −0.0114955 | + | 0.0563087i | ||||
\(277\) | 5.21911 | − | 18.0184i | 0.313586 | − | 1.08262i | −0.636666 | − | 0.771140i | \(-0.719687\pi\) |
0.950251 | − | 0.311484i | \(-0.100826\pi\) | |||||||
\(278\) | −3.48864 | − | 28.7315i | −0.209235 | − | 1.72320i | ||||
\(279\) | 3.52098 | − | 1.17548i | 0.210796 | − | 0.0703739i | ||||
\(280\) | −19.5584 | − | 3.17855i | −1.16884 | − | 0.189954i | ||||
\(281\) | 17.5767 | − | 9.22494i | 1.04854 | − | 0.550314i | 0.149759 | − | 0.988722i | \(-0.452150\pi\) |
0.898776 | + | 0.438409i | \(0.144458\pi\) | |||||||
\(282\) | 9.53507 | − | 6.02961i | 0.567805 | − | 0.359058i | ||||
\(283\) | 12.0578 | − | 5.13734i | 0.716760 | − | 0.305383i | −0.00262269 | − | 0.999997i | \(-0.500835\pi\) |
0.719383 | + | 0.694613i | \(0.244425\pi\) | |||||||
\(284\) | 1.78166 | − | 8.72713i | 0.105722 | − | 0.517860i | ||||
\(285\) | −26.4237 | − | 6.51286i | −1.56521 | − | 0.385788i | ||||
\(286\) | −5.88867 | + | 2.56445i | −0.348204 | + | 0.151639i | ||||
\(287\) | 5.21112 | − | 1.28443i | 0.307603 | − | 0.0758173i | ||||
\(288\) | −0.171314 | − | 4.25112i | −0.0100948 | − | 0.250500i | ||||
\(289\) | 0.520499 | + | 12.9161i | 0.0306176 | + | 0.759768i | ||||
\(290\) | −10.1539 | − | 12.4363i | −0.596260 | − | 0.730286i | ||||
\(291\) | −0.370555 | + | 0.977074i | −0.0217223 | + | 0.0572771i | ||||
\(292\) | 2.23265 | + | 4.70521i | 0.130656 | + | 0.275351i | ||||
\(293\) | −2.03172 | + | 7.01433i | −0.118695 | + | 0.409781i | −0.997758 | − | 0.0669233i | \(-0.978682\pi\) |
0.879063 | + | 0.476705i | \(0.158169\pi\) | |||||||
\(294\) | 1.69935 | − | 2.46193i | 0.0991080 | − | 0.143583i | ||||
\(295\) | −44.2182 | − | 18.8396i | −2.57448 | − | 1.09689i | ||||
\(296\) | −4.19176 | + | 0.681227i | −0.243641 | + | 0.0395955i | ||||
\(297\) | 0.900747 | + | 0.569598i | 0.0522667 | + | 0.0330514i | ||||
\(298\) | −10.6679 | − | 15.4551i | −0.617975 | − | 0.895292i | ||||
\(299\) | 0.488405 | − | 4.30846i | 0.0282452 | − | 0.249164i | ||||
\(300\) | −2.70200 | + | 3.91453i | −0.156000 | + | 0.226005i | ||||
\(301\) | −21.9132 | + | 9.33634i | −1.26306 | + | 0.538138i | ||||
\(302\) | 4.78210 | + | 16.5097i | 0.275179 | + | 0.950028i | ||||
\(303\) | −4.58959 | + | 0.370510i | −0.263665 | + | 0.0212853i | ||||
\(304\) | 30.4608 | − | 26.9859i | 1.74705 | − | 1.54775i | ||||
\(305\) | 24.1885 | − | 15.2959i | 1.38503 | − | 0.875838i | ||||
\(306\) | 3.10361 | + | 1.32232i | 0.177421 | + | 0.0755922i | ||||
\(307\) | −3.41965 | + | 28.1634i | −0.195170 | + | 1.60737i | 0.485136 | + | 0.874439i | \(0.338770\pi\) |
−0.680306 | + | 0.732929i | \(0.738153\pi\) | |||||||
\(308\) | −0.501759 | − | 2.45778i | −0.0285904 | − | 0.140045i | ||||
\(309\) | −9.93584 | − | 0.802104i | −0.565230 | − | 0.0456301i | ||||
\(310\) | 16.4447 | − | 12.3574i | 0.933997 | − | 0.701853i | ||||
\(311\) | −3.12388 | + | 25.7274i | −0.177139 | + | 1.45887i | 0.584777 | + | 0.811194i | \(0.301182\pi\) |
−0.761916 | + | 0.647676i | \(0.775741\pi\) | |||||||
\(312\) | 0.933500 | + | 7.20849i | 0.0528490 | + | 0.408101i | ||||
\(313\) | −0.413236 | − | 3.40331i | −0.0233575 | − | 0.192366i | 0.976360 | − | 0.216153i | \(-0.0693509\pi\) |
−0.999717 | + | 0.0237864i | \(0.992428\pi\) | |||||||
\(314\) | 13.9311 | + | 14.5038i | 0.786177 | + | 0.818497i | ||||
\(315\) | 4.91450 | + | 8.51216i | 0.276901 | + | 0.479606i | ||||
\(316\) | −4.36863 | + | 7.56669i | −0.245755 | + | 0.425660i | ||||
\(317\) | 0.488964 | − | 0.120519i | 0.0274629 | − | 0.00676901i | −0.225560 | − | 0.974229i | \(-0.572421\pi\) |
0.253023 | + | 0.967460i | \(0.418575\pi\) | |||||||
\(318\) | 8.85145 | + | 10.8411i | 0.496365 | + | 0.607936i | ||||
\(319\) | −1.54384 | + | 2.67400i | −0.0864382 | + | 0.149715i | ||||
\(320\) | 3.29589 | + | 8.69056i | 0.184246 | + | 0.485817i | ||||
\(321\) | −7.51780 | + | 7.82686i | −0.419603 | + | 0.436853i | ||||
\(322\) | 5.65288 | + | 1.88721i | 0.315023 | + | 0.105170i | ||||
\(323\) | 4.60940 | + | 15.9135i | 0.256474 | + | 0.885450i | ||||
\(324\) | −0.594254 | + | 0.526463i | −0.0330141 | + | 0.0292480i | ||||
\(325\) | 10.6517 | − | 18.7928i | 0.590848 | − | 1.04244i | ||||
\(326\) | 2.40814 | + | 2.13342i | 0.133374 | + | 0.118159i | ||||
\(327\) | −3.29545 | + | 6.94502i | −0.182239 | + | 0.384060i | ||||
\(328\) | −2.52811 | − | 2.63204i | −0.139592 | − | 0.145330i | ||||
\(329\) | −8.57819 | − | 18.0782i | −0.472931 | − | 0.996681i | ||||
\(330\) | 5.73418 | + | 1.41335i | 0.315656 | + | 0.0778022i | ||||
\(331\) | −15.5731 | + | 16.2133i | −0.855977 | + | 0.891166i | −0.995076 | − | 0.0991124i | \(-0.968400\pi\) |
0.139100 | + | 0.990278i | \(0.455579\pi\) | |||||||
\(332\) | 2.45399 | + | 1.84405i | 0.134680 | + | 0.101206i | ||||
\(333\) | 1.57678 | + | 1.39690i | 0.0864069 | + | 0.0765498i | ||||
\(334\) | −2.80426 | − | 0.455736i | −0.153442 | − | 0.0249368i | ||||
\(335\) | 3.35168 | + | 2.11948i | 0.183122 | + | 0.115799i | ||||
\(336\) | −14.6501 | − | 1.18268i | −0.799230 | − | 0.0645205i | ||||
\(337\) | −23.1748 | −1.26241 | −0.631205 | − | 0.775616i | \(-0.717439\pi\) | ||||
−0.631205 | + | 0.775616i | \(0.717439\pi\) | |||||||
\(338\) | 4.68453 | + | 21.2186i | 0.254805 | + | 1.15414i | ||||
\(339\) | 8.13188 | 0.441663 | ||||||||
\(340\) | 5.29503 | + | 0.427459i | 0.287163 | + | 0.0231822i | ||||
\(341\) | −3.34359 | − | 2.11436i | −0.181065 | − | 0.114499i | ||||
\(342\) | −13.5433 | − | 2.20100i | −0.732337 | − | 0.119016i | ||||
\(343\) | 11.5624 | + | 10.2434i | 0.624311 | + | 0.553092i | ||||
\(344\) | 12.9483 | + | 9.73001i | 0.698125 | + | 0.524607i | ||||
\(345\) | −2.76189 | + | 2.87543i | −0.148695 | + | 0.154808i | ||||
\(346\) | −27.2236 | − | 6.71001i | −1.46355 | − | 0.360732i | ||||
\(347\) | −14.1353 | − | 29.7896i | −0.758825 | − | 1.59919i | −0.799972 | − | 0.600037i | \(-0.795152\pi\) |
0.0411470 | − | 0.999153i | \(-0.486899\pi\) | |||||||
\(348\) | −1.59337 | − | 1.65888i | −0.0854138 | − | 0.0889251i | ||||
\(349\) | 2.48942 | − | 5.24635i | 0.133256 | − | 0.280831i | −0.825844 | − | 0.563899i | \(-0.809301\pi\) |
0.959100 | + | 0.283068i | \(0.0913522\pi\) | |||||||
\(350\) | 22.2231 | + | 19.6880i | 1.18788 | + | 1.05237i | ||||
\(351\) | 2.47689 | − | 2.62011i | 0.132207 | − | 0.139851i | ||||
\(352\) | −3.39393 | + | 3.00676i | −0.180897 | + | 0.160261i | ||||
\(353\) | 9.17390 | + | 31.6720i | 0.488278 | + | 1.68573i | 0.704762 | + | 0.709444i | \(0.251054\pi\) |
−0.216485 | + | 0.976286i | \(0.569459\pi\) | |||||||
\(354\) | −22.9859 | − | 7.67382i | −1.22169 | − | 0.407859i | ||||
\(355\) | 25.7660 | − | 26.8252i | 1.36752 | − | 1.42374i | ||||
\(356\) | −4.83475 | − | 12.7482i | −0.256241 | − | 0.675652i | ||||
\(357\) | 2.99184 | − | 5.18202i | 0.158345 | − | 0.274262i | ||||
\(358\) | 12.2178 | + | 14.9640i | 0.645728 | + | 0.790874i | ||||
\(359\) | 22.5375 | − | 5.55500i | 1.18948 | − | 0.293181i | 0.405578 | − | 0.914061i | \(-0.367070\pi\) |
0.783906 | + | 0.620879i | \(0.213224\pi\) | |||||||
\(360\) | 3.34177 | − | 5.78812i | 0.176127 | − | 0.305061i | ||||
\(361\) | −24.1919 | − | 41.9017i | −1.27326 | − | 2.20535i | ||||
\(362\) | 26.1808 | + | 27.2571i | 1.37603 | + | 1.43260i | ||||
\(363\) | 1.18900 | + | 9.79229i | 0.0624063 | + | 0.513962i | ||||
\(364\) | −8.48631 | + | 0.0674914i | −0.444804 | + | 0.00353751i | ||||
\(365\) | −2.62145 | + | 21.5896i | −0.137213 | + | 1.13005i | ||||
\(366\) | 11.5352 | − | 8.66815i | 0.602955 | − | 0.453091i | ||||
\(367\) | 3.87379 | + | 0.312725i | 0.202210 | + | 0.0163241i | 0.181157 | − | 0.983454i | \(-0.442016\pi\) |
0.0210535 | + | 0.999778i | \(0.493298\pi\) | |||||||
\(368\) | −1.19254 | − | 5.84146i | −0.0621656 | − | 0.304507i | ||||
\(369\) | −0.218208 | + | 1.79710i | −0.0113594 | + | 0.0935535i | ||||
\(370\) | 10.7394 | + | 4.57563i | 0.558314 | + | 0.237876i | ||||
\(371\) | 20.9810 | − | 13.2676i | 1.08928 | − | 0.688818i | ||||
\(372\) | 2.20588 | − | 1.95424i | 0.114370 | − | 0.101323i | ||||
\(373\) | −12.0854 | + | 0.975637i | −0.625760 | + | 0.0505165i | −0.389279 | − | 0.921120i | \(-0.627276\pi\) |
−0.236480 | + | 0.971636i | \(0.575994\pi\) | |||||||
\(374\) | −1.00028 | − | 3.45337i | −0.0517233 | − | 0.178569i | ||||
\(375\) | −3.02316 | + | 1.28805i | −0.156115 | + | 0.0665145i | ||||
\(376\) | −7.72939 | + | 11.1980i | −0.398613 | + | 0.577490i | ||||
\(377\) | 7.87386 | + | 6.86465i | 0.405525 | + | 0.353547i | ||||
\(378\) | 2.81508 | + | 4.07835i | 0.144792 | + | 0.209768i | ||||
\(379\) | 6.49518 | + | 4.10730i | 0.333635 | + | 0.210978i | 0.690770 | − | 0.723075i | \(-0.257272\pi\) |
−0.357135 | + | 0.934053i | \(0.616246\pi\) | |||||||
\(380\) | −21.3262 | + | 3.46585i | −1.09401 | + | 0.177794i | ||||
\(381\) | 13.3980 | + | 5.70834i | 0.686399 | + | 0.292447i | ||||
\(382\) | 8.09879 | − | 11.7331i | 0.414370 | − | 0.600319i | ||||
\(383\) | 5.06878 | − | 17.4994i | 0.259002 | − | 0.894180i | −0.720620 | − | 0.693330i | \(-0.756143\pi\) |
0.979622 | − | 0.200849i | \(-0.0643702\pi\) | |||||||
\(384\) | 5.65671 | + | 11.9213i | 0.288668 | + | 0.608354i | ||||
\(385\) | 3.71452 | − | 9.79438i | 0.189309 | − | 0.499168i | ||||
\(386\) | 15.8605 | + | 19.4256i | 0.807277 | + | 0.988735i | ||||
\(387\) | −0.323503 | − | 8.02765i | −0.0164446 | − | 0.408069i | ||||
\(388\) | 0.0334057 | + | 0.828954i | 0.00169592 | + | 0.0420838i | ||||
\(389\) | 12.5972 | − | 3.10494i | 0.638705 | − | 0.157427i | 0.0933519 | − | 0.995633i | \(-0.470242\pi\) |
0.545353 | + | 0.838207i | \(0.316396\pi\) | |||||||
\(390\) | 8.42156 | − | 18.1187i | 0.426442 | − | 0.917477i | ||||
\(391\) | 2.35667 | + | 0.580866i | 0.119182 | + | 0.0293756i | ||||
\(392\) | −0.721686 | + | 3.53505i | −0.0364506 | + | 0.178547i | ||||
\(393\) | 10.1478 | − | 4.32359i | 0.511890 | − | 0.218096i | ||||
\(394\) | −32.0784 | + | 20.2852i | −1.61609 | + | 1.02195i | ||||
\(395\) | −32.3066 | + | 16.9558i | −1.62552 | + | 0.853138i | ||||
\(396\) | 0.835146 | + | 0.135724i | 0.0419677 | + | 0.00682041i | ||||
\(397\) | −6.32629 | + | 2.11203i | −0.317508 | + | 0.106000i | −0.470955 | − | 0.882157i | \(-0.656091\pi\) |
0.153447 | + | 0.988157i | \(0.450962\pi\) | |||||||
\(398\) | −4.74262 | − | 39.0590i | −0.237726 | − | 1.95785i | ||||
\(399\) | −6.77094 | + | 23.3760i | −0.338971 | + | 1.17026i | ||||
\(400\) | 5.94107 | − | 29.1013i | 0.297054 | − | 1.45506i | ||||
\(401\) | 20.3713 | + | 6.80094i | 1.01729 | + | 0.339623i | 0.775935 | − | 0.630813i | \(-0.217279\pi\) |
0.241359 | + | 0.970436i | \(0.422407\pi\) | |||||||
\(402\) | 1.77035 | + | 0.929153i | 0.0882972 | + | 0.0463419i | ||||
\(403\) | −9.19427 | + | 9.72590i | −0.457999 | + | 0.484481i | ||||
\(404\) | −3.23688 | + | 1.69884i | −0.161041 | + | 0.0845207i | ||||
\(405\) | −3.27237 | + | 0.531811i | −0.162605 | + | 0.0264259i | ||||
\(406\) | −11.4779 | + | 8.62510i | −0.569640 | + | 0.428057i | ||||
\(407\) | 0.0903980 | − | 2.24320i | 0.00448086 | − | 0.111191i | ||||
\(408\) | −4.06880 | −0.201436 | ||||||||
\(409\) | 0.398236 | − | 9.88211i | 0.0196915 | − | 0.488639i | −0.959013 | − | 0.283363i | \(-0.908550\pi\) |
0.978704 | − | 0.205276i | \(-0.0658092\pi\) | |||||||
\(410\) | 2.00662 | + | 9.82910i | 0.0991001 | + | 0.485425i | ||||
\(411\) | 7.31143 | + | 10.5924i | 0.360646 | + | 0.522486i | ||||
\(412\) | −7.50660 | + | 2.50607i | −0.369824 | + | 0.123465i | ||||
\(413\) | −18.4261 | + | 38.8322i | −0.906689 | + | 1.91081i | ||||
\(414\) | −1.27131 | + | 1.55708i | −0.0624816 | + | 0.0765261i | ||||
\(415\) | 4.54547 | + | 11.9854i | 0.223128 | + | 0.588341i | ||||
\(416\) | 7.77545 | + | 13.2235i | 0.381223 | + | 0.648335i | ||||
\(417\) | 6.14009 | − | 16.1901i | 0.300682 | − | 0.792832i | ||||
\(418\) | 7.31145 | + | 12.6638i | 0.357615 | + | 0.619407i | ||||
\(419\) | −14.6008 | + | 17.8827i | −0.713294 | + | 0.873627i | −0.996340 | − | 0.0854797i | \(-0.972758\pi\) |
0.283046 | + | 0.959106i | \(0.408655\pi\) | |||||||
\(420\) | 6.23837 | + | 4.68783i | 0.304401 | + | 0.228743i | ||||
\(421\) | 4.25779 | + | 2.23466i | 0.207512 | + | 0.108911i | 0.565278 | − | 0.824901i | \(-0.308769\pi\) |
−0.357766 | + | 0.933811i | \(0.616461\pi\) | |||||||
\(422\) | −33.0783 | + | 2.67035i | −1.61022 | + | 0.129991i | ||||
\(423\) | 6.72748 | − | 0.543098i | 0.327101 | − | 0.0264063i | ||||
\(424\) | −14.9464 | − | 7.84447i | −0.725861 | − | 0.380961i | ||||
\(425\) | 9.66681 | + | 7.26413i | 0.468909 | + | 0.352362i | ||||
\(426\) | 11.8602 | − | 14.5262i | 0.574630 | − | 0.703794i | ||||
\(427\) | −12.7964 | − | 22.1640i | −0.619262 | − | 1.07259i | ||||
\(428\) | −3.05527 | + | 8.05608i | −0.147682 | + | 0.389405i | ||||
\(429\) | −3.83243 | − | 0.278728i | −0.185032 | − | 0.0134571i | ||||
\(430\) | −15.7876 | − | 41.6284i | −0.761343 | − | 2.00750i | ||||
\(431\) | 5.83605 | − | 7.14787i | 0.281113 | − | 0.344301i | −0.614677 | − | 0.788779i | \(-0.710714\pi\) |
0.895790 | + | 0.444478i | \(0.146611\pi\) | |||||||
\(432\) | 2.12526 | − | 4.47888i | 0.102251 | − | 0.215490i | ||||
\(433\) | −16.4506 | + | 5.49201i | −0.790565 | + | 0.263929i | −0.683143 | − | 0.730284i | \(-0.739388\pi\) |
−0.107421 | + | 0.994214i | \(0.534259\pi\) | |||||||
\(434\) | −10.4496 | − | 15.1389i | −0.501598 | − | 0.726690i | ||||
\(435\) | −1.92128 | − | 9.41106i | −0.0921184 | − | 0.451226i | ||||
\(436\) | −0.245743 | + | 6.09805i | −0.0117690 | + | 0.292044i | ||||
\(437\) | −9.87190 | −0.472237 | ||||||||
\(438\) | −0.441514 | + | 10.9561i | −0.0210964 | + | 0.523501i | ||||
\(439\) | −12.3830 | + | 9.30524i | −0.591010 | + | 0.444115i | −0.853700 | − | 0.520765i | \(-0.825647\pi\) |
0.262690 | + | 0.964880i | \(0.415390\pi\) | |||||||
\(440\) | −7.03064 | + | 1.14259i | −0.335173 | + | 0.0544708i | ||||
\(441\) | 1.58469 | − | 0.831711i | 0.0754615 | − | 0.0396053i | ||||
\(442\) | −12.1159 | + | 1.07515i | −0.576296 | + | 0.0511396i | ||||
\(443\) | −30.3297 | − | 15.9183i | −1.44101 | − | 0.756300i | −0.450374 | − | 0.892840i | \(-0.648709\pi\) |
−0.990635 | + | 0.136540i | \(0.956402\pi\) | |||||||
\(444\) | 1.58636 | + | 0.529604i | 0.0752851 | + | 0.0251339i | ||||
\(445\) | 11.3884 | − | 55.7841i | 0.539862 | − | 2.64442i | ||||
\(446\) | 0.210361 | − | 0.726251i | 0.00996089 | − | 0.0343890i | ||||
\(447\) | −1.35423 | − | 11.1531i | −0.0640531 | − | 0.527525i | ||||
\(448\) | 7.88401 | − | 2.63207i | 0.372484 | − | 0.124354i | ||||
\(449\) | 3.20522 | + | 0.520899i | 0.151264 | + | 0.0245827i | 0.235572 | − | 0.971857i | \(-0.424304\pi\) |
−0.0843078 | + | 0.996440i | \(0.526868\pi\) | |||||||
\(450\) | −8.86722 | + | 4.65387i | −0.418005 | + | 0.219386i | ||||
\(451\) | 1.63063 | − | 1.03115i | 0.0767832 | − | 0.0485547i | ||||
\(452\) | 5.93941 | − | 2.53055i | 0.279366 | − | 0.119027i | ||||
\(453\) | −2.05690 | + | 10.0754i | −0.0966417 | + | 0.473382i | ||||
\(454\) | 8.10210 | + | 1.99699i | 0.380251 | + | 0.0937234i | ||||
\(455\) | −30.1023 | − | 18.7021i | −1.41122 | − | 0.876768i | ||||
\(456\) | 16.0678 | − | 3.96035i | 0.752442 | − | 0.185460i | ||||
\(457\) | −1.35956 | − | 33.7372i | −0.0635976 | − | 1.57816i | −0.644769 | − | 0.764378i | \(-0.723046\pi\) |
0.581171 | − | 0.813781i | \(-0.302595\pi\) | |||||||
\(458\) | −0.139436 | − | 3.46007i | −0.00651543 | − | 0.161679i | ||||
\(459\) | 1.27645 | + | 1.56337i | 0.0595797 | + | 0.0729719i | ||||
\(460\) | −1.12244 | + | 2.95964i | −0.0523342 | + | 0.137994i | ||||
\(461\) | −15.5379 | − | 32.7454i | −0.723671 | − | 1.52510i | −0.846332 | − | 0.532655i | \(-0.821194\pi\) |
0.122662 | − | 0.992449i | \(-0.460857\pi\) | |||||||
\(462\) | 1.46935 | − | 5.07280i | 0.0683605 | − | 0.236008i | ||||
\(463\) | 9.17000 | − | 13.2850i | 0.426166 | − | 0.617408i | −0.549809 | − | 0.835290i | \(-0.685299\pi\) |
0.975975 | + | 0.217882i | \(0.0699149\pi\) | |||||||
\(464\) | 13.2137 | + | 5.62985i | 0.613433 | + | 0.261359i | ||||
\(465\) | 12.1471 | − | 1.97409i | 0.563307 | − | 0.0915462i | ||||
\(466\) | −2.56397 | − | 1.62135i | −0.118773 | − | 0.0751078i | ||||
\(467\) | −7.24403 | − | 10.4948i | −0.335214 | − | 0.485641i | 0.618740 | − | 0.785596i | \(-0.287644\pi\) |
−0.953953 | + | 0.299955i | \(0.903028\pi\) | |||||||
\(468\) | 0.993740 | − | 2.68448i | 0.0459357 | − | 0.124090i | ||||
\(469\) | 2.01452 | − | 2.91853i | 0.0930217 | − | 0.134765i | ||||
\(470\) | 34.4089 | − | 14.6602i | 1.58716 | − | 0.676227i | ||||
\(471\) | 3.34736 | + | 11.5564i | 0.154238 | + | 0.532492i | ||||
\(472\) | 29.1323 | − | 2.35180i | 1.34092 | − | 0.108250i | ||||
\(473\) | −6.40896 | + | 5.67784i | −0.294684 | + | 0.261068i | ||||
\(474\) | −15.5476 | + | 9.83168i | −0.714123 | + | 0.451584i | ||||
\(475\) | −45.2449 | − | 19.2771i | −2.07598 | − | 0.884492i | ||||
\(476\) | 0.572615 | − | 4.71591i | 0.0262457 | − | 0.216153i | ||||
\(477\) | 1.67483 | + | 8.20386i | 0.0766852 | + | 0.375629i | ||||
\(478\) | 4.46133 | + | 0.360155i | 0.204056 | + | 0.0164731i | ||||
\(479\) | −16.9465 | + | 12.7345i | −0.774307 | + | 0.581854i | −0.912751 | − | 0.408516i | \(-0.866046\pi\) |
0.138444 | + | 0.990370i | \(0.455790\pi\) | |||||||
\(480\) | 1.70019 | − | 14.0023i | 0.0776027 | − | 0.639116i | ||||
\(481\) | −7.38880 | − | 1.75897i | −0.336900 | − | 0.0802019i | ||||
\(482\) | 5.69611 | + | 46.9117i | 0.259451 | + | 2.13677i | ||||
\(483\) | 2.46985 | + | 2.57138i | 0.112382 | + | 0.117002i | ||||
\(484\) | 3.91568 | + | 6.78215i | 0.177985 | + | 0.308280i | ||||
\(485\) | −1.73221 | + | 3.00028i | −0.0786557 | + | 0.136236i | ||||
\(486\) | −1.62293 | + | 0.400016i | −0.0736176 | + | 0.0181451i | ||||
\(487\) | 22.3360 | + | 27.3566i | 1.01214 | + | 1.23965i | 0.970647 | + | 0.240507i | \(0.0773136\pi\) |
0.0414919 | + | 0.999139i | \(0.486789\pi\) | |||||||
\(488\) | −8.70133 | + | 15.0711i | −0.393891 | + | 0.682239i | ||||
\(489\) | 0.682529 | + | 1.79968i | 0.0308650 | + | 0.0813844i | ||||
\(490\) | 6.87017 | − | 7.15261i | 0.310363 | − | 0.323122i | ||||
\(491\) | 21.6699 | + | 7.23449i | 0.977950 | + | 0.326488i | 0.760324 | − | 0.649544i | \(-0.225040\pi\) |
0.217627 | + | 0.976032i | \(0.430169\pi\) | |||||||
\(492\) | 0.399862 | + | 1.38048i | 0.0180272 | + | 0.0622370i | ||||
\(493\) | −4.37686 | + | 3.87756i | −0.197124 | + | 0.174636i | ||||
\(494\) | 46.7996 | − | 16.0388i | 2.10561 | − | 0.721619i | ||||
\(495\) | 2.64466 | + | 2.34296i | 0.118868 | + | 0.105308i | ||||
\(496\) | −7.88898 | + | 16.6257i | −0.354226 | + | 0.746515i | ||||
\(497\) | −23.0415 | − | 23.9888i | −1.03355 | − | 1.07604i | ||||
\(498\) | 2.77054 | + | 5.83878i | 0.124151 | + | 0.261642i | ||||
\(499\) | −29.5591 | − | 7.28566i | −1.32325 | − | 0.326151i | −0.486470 | − | 0.873697i | \(-0.661716\pi\) |
−0.836775 | + | 0.547546i | \(0.815562\pi\) | |||||||
\(500\) | −1.80725 | + | 1.88155i | −0.0808226 | + | 0.0841453i | ||||
\(501\) | −1.35881 | − | 1.02108i | −0.0607073 | − | 0.0456185i | ||||
\(502\) | −11.4306 | − | 10.1266i | −0.510171 | − | 0.451972i | ||||
\(503\) | −22.7827 | − | 3.70256i | −1.01583 | − | 0.165089i | −0.370373 | − | 0.928883i | \(-0.620770\pi\) |
−0.645460 | + | 0.763794i | \(0.723334\pi\) | |||||||
\(504\) | −5.05156 | − | 3.19441i | −0.225014 | − | 0.142290i | ||||
\(505\) | −15.2159 | − | 1.22835i | −0.677097 | − | 0.0546610i | ||||
\(506\) | 2.14229 | 0.0952363 | ||||||||
\(507\) | −3.41777 | + | 12.5427i | −0.151788 | + | 0.557040i | ||||
\(508\) | 11.5621 | 0.512983 | ||||||||
\(509\) | 18.7358 | + | 1.51251i | 0.830450 | + | 0.0670409i | 0.488377 | − | 0.872633i | \(-0.337589\pi\) |
0.342073 | + | 0.939673i | \(0.388871\pi\) | |||||||
\(510\) | 9.45291 | + | 5.97766i | 0.418582 | + | 0.264695i | ||||
\(511\) | 19.1967 | + | 3.11976i | 0.849211 | + | 0.138010i | ||||
\(512\) | 0.826128 | + | 0.731886i | 0.0365101 | + | 0.0323451i | ||||
\(513\) | −6.56244 | − | 4.93135i | −0.289739 | − | 0.217725i | ||||
\(514\) | 5.79813 | − | 6.03649i | 0.255744 | − | 0.266258i | ||||
\(515\) | −32.0871 | − | 7.90877i | −1.41393 | − | 0.348502i | ||||
\(516\) | −2.73440 | − | 5.76262i | −0.120375 | − | 0.253685i | ||||
\(517\) | −4.98278 | − | 5.18763i | −0.219143 | − | 0.228152i | ||||
\(518\) | 4.47519 | − | 9.43127i | 0.196629 | − | 0.414386i | ||||
\(519\) | −12.5558 | − | 11.1234i | −0.551137 | − | 0.488265i | ||||
\(520\) | −0.778804 | + | 24.0853i | −0.0341528 | + | 1.05621i | ||||
\(521\) | 16.9416 | − | 15.0089i | 0.742224 | − | 0.657553i | −0.204768 | − | 0.978810i | \(-0.565644\pi\) |
0.946992 | + | 0.321258i | \(0.104106\pi\) | |||||||
\(522\) | −1.34733 | − | 4.65152i | −0.0589710 | − | 0.203591i | ||||
\(523\) | −41.3721 | − | 13.8120i | −1.80907 | − | 0.603958i | −0.999865 | − | 0.0164368i | \(-0.994768\pi\) |
−0.809209 | − | 0.587521i | \(-0.800104\pi\) | |||||||
\(524\) | 6.06638 | − | 6.31577i | 0.265011 | − | 0.275906i | ||||
\(525\) | 6.29862 | + | 16.6081i | 0.274894 | + | 0.724836i | ||||
\(526\) | 19.0987 | − | 33.0800i | 0.832744 | − | 1.44235i | ||||
\(527\) | −4.73821 | − | 5.80326i | −0.206400 | − | 0.252794i | ||||
\(528\) | −5.12988 | + | 1.26440i | −0.223249 | + | 0.0550260i | ||||
\(529\) | 10.7769 | − | 18.6661i | 0.468560 | − | 0.811569i | ||||
\(530\) | 23.1998 | + | 40.1832i | 1.00773 | + | 1.74545i | ||||
\(531\) | −10.0429 | − | 10.4558i | −0.435827 | − | 0.453744i | ||||
\(532\) | 2.32894 | + | 19.1805i | 0.100972 | + | 0.831582i | ||||
\(533\) | −2.36302 | − | 6.08438i | −0.102354 | − | 0.263544i | ||||
\(534\) | 3.46003 | − | 28.4959i | 0.149730 | − | 1.23314i | ||||
\(535\) | −28.7634 | + | 21.6143i | −1.24355 | + | 0.934467i | ||||
\(536\) | −2.40359 | − | 0.194038i | −0.103819 | − | 0.00838115i | ||||
\(537\) | 2.31178 | + | 11.3239i | 0.0997609 | + | 0.488661i | ||||
\(538\) | −5.62750 | + | 46.3466i | −0.242619 | + | 1.99814i | ||||
\(539\) | −1.75471 | − | 0.747611i | −0.0755806 | − | 0.0322019i | ||||
\(540\) | −2.22460 | + | 1.40675i | −0.0957314 | + | 0.0605369i | ||||
\(541\) | −20.6169 | + | 18.2650i | −0.886390 | + | 0.785273i | −0.977581 | − | 0.210561i | \(-0.932471\pi\) |
0.0911912 | + | 0.995833i | \(0.470933\pi\) | |||||||
\(542\) | −10.3449 | + | 0.835127i | −0.444352 | + | 0.0358718i | ||||
\(543\) | 6.29073 | + | 21.7181i | 0.269961 | + | 0.932013i | ||||
\(544\) | −7.89980 | + | 3.36579i | −0.338701 | + | 0.144307i | ||||
\(545\) | −14.4774 | + | 20.9741i | −0.620142 | + | 0.898431i | ||||
\(546\) | −15.8865 | − | 8.17738i | −0.679878 | − | 0.349960i | ||||
\(547\) | −20.9568 | − | 30.3611i | −0.896046 | − | 1.29815i | −0.953993 | − | 0.299827i | \(-0.903071\pi\) |
0.0579472 | − | 0.998320i | \(-0.481544\pi\) | |||||||
\(548\) | 8.63641 | + | 5.46134i | 0.368929 | + | 0.233297i | ||||
\(549\) | 8.52061 | − | 1.38473i | 0.363651 | − | 0.0590990i | ||||
\(550\) | 9.81854 | + | 4.18329i | 0.418664 | + | 0.178376i | ||||
\(551\) | 13.5101 | − | 19.5728i | 0.575549 | − | 0.833827i | ||||
\(552\) | 0.674515 | − | 2.32869i | 0.0287093 | − | 0.0991158i | ||||
\(553\) | 13.9873 | + | 29.4776i | 0.594800 | + | 1.25352i | ||||
\(554\) | 11.1189 | − | 29.3182i | 0.472398 | − | 1.24561i | ||||
\(555\) | 4.41690 | + | 5.40972i | 0.187487 | + | 0.229630i | ||||
\(556\) | −0.553532 | − | 13.7357i | −0.0234750 | − | 0.582525i | ||||
\(557\) | 0.619326 | + | 15.3684i | 0.0262417 | + | 0.651180i | 0.957774 | + | 0.287522i | \(0.0928314\pi\) |
−0.931532 | + | 0.363658i | \(0.881528\pi\) | |||||||
\(558\) | 6.02434 | − | 1.48487i | 0.255031 | − | 0.0628594i | ||||
\(559\) | 14.6829 | + | 24.9707i | 0.621019 | + | 1.05615i | ||||
\(560\) | −47.3116 | − | 11.6613i | −1.99928 | − | 0.492778i | ||||
\(561\) | 0.430246 | − | 2.10748i | 0.0181650 | − | 0.0889780i | ||||
\(562\) | 30.5249 | − | 13.0054i | 1.28761 | − | 0.548601i | ||||
\(563\) | 18.0632 | − | 11.4224i | 0.761271 | − | 0.481399i | −0.0965619 | − | 0.995327i | \(-0.530785\pi\) |
0.857833 | + | 0.513928i | \(0.171810\pi\) | |||||||
\(564\) | 4.74465 | − | 2.49019i | 0.199786 | − | 0.104856i | ||||
\(565\) | 26.6105 | + | 4.32462i | 1.11951 | + | 0.181938i | ||||
\(566\) | 20.7802 | − | 6.93745i | 0.873457 | − | 0.291603i | ||||
\(567\) | 0.357360 | + | 2.94312i | 0.0150077 | + | 0.123600i | ||||
\(568\) | −6.29263 | + | 21.7247i | −0.264033 | + | 0.911548i | ||||
\(569\) | 5.61750 | − | 27.5163i | 0.235498 | − | 1.15354i | −0.674289 | − | 0.738468i | \(-0.735550\pi\) |
0.909786 | − | 0.415077i | \(-0.136245\pi\) | |||||||
\(570\) | −43.1480 | − | 14.4049i | −1.80727 | − | 0.603356i | ||||
\(571\) | −35.8740 | − | 18.8281i | −1.50128 | − | 0.787933i | −0.504150 | − | 0.863616i | \(-0.668194\pi\) |
−0.997132 | + | 0.0756830i | \(0.975886\pi\) | |||||||
\(572\) | −2.88589 | + | 0.989030i | −0.120665 | + | 0.0413534i | ||||
\(573\) | 7.55236 | − | 3.96378i | 0.315504 | − | 0.165589i | ||||
\(574\) | 8.85491 | − | 1.43906i | 0.369597 | − | 0.0600653i | ||||
\(575\) | −5.76002 | + | 4.32837i | −0.240209 | + | 0.180506i | ||||
\(576\) | −0.112887 | + | 2.80126i | −0.00470363 | + | 0.116719i | ||||
\(577\) | −17.6949 | −0.736647 | −0.368324 | − | 0.929698i | \(-0.620068\pi\) | ||||
−0.368324 | + | 0.929698i | \(0.620068\pi\) | |||||||
\(578\) | −0.870015 | + | 21.5892i | −0.0361878 | + | 0.897992i | ||||
\(579\) | 3.00104 | + | 14.7001i | 0.124719 | + | 0.610915i | ||||
\(580\) | −4.33189 | − | 6.27582i | −0.179872 | − | 0.260589i | ||||
\(581\) | 10.8731 | − | 3.62996i | 0.451091 | − | 0.150596i | ||||
\(582\) | −0.748792 | + | 1.57804i | −0.0310384 | + | 0.0654121i | ||||
\(583\) | 5.64360 | − | 6.91216i | 0.233734 | − | 0.286272i | ||||
\(584\) | −4.68953 | − | 12.3653i | −0.194054 | − | 0.511678i | ||||
\(585\) | 9.49871 | − | 7.25673i | 0.392723 | − | 0.300029i | ||||
\(586\) | −4.32844 | + | 11.4132i | −0.178806 | + | 0.471474i | ||||
\(587\) | −14.9739 | − | 25.9355i | −0.618037 | − | 1.07047i | −0.989843 | − | 0.142161i | \(-0.954595\pi\) |
0.371806 | − | 0.928310i | \(-0.378739\pi\) | |||||||
\(588\) | 0.898619 | − | 1.10061i | 0.0370584 | − | 0.0453883i | ||||
\(589\) | 24.3599 | + | 18.3053i | 1.00373 | + | 0.754255i | ||||
\(590\) | −71.1372 | − | 37.3357i | −2.92867 | − | 1.53709i | ||||
\(591\) | −22.6329 | + | 1.82712i | −0.930995 | + | 0.0751577i | ||||
\(592\) | −10.4094 | + | 0.840336i | −0.427825 | + | 0.0345376i | ||||
\(593\) | 5.07935 | + | 2.66585i | 0.208584 | + | 0.109473i | 0.565780 | − | 0.824556i | \(-0.308575\pi\) |
−0.357196 | + | 0.934029i | \(0.616267\pi\) | |||||||
\(594\) | 1.42411 | + | 1.07015i | 0.0584318 | + | 0.0439087i | ||||
\(595\) | 12.5463 | − | 15.3664i | 0.514347 | − | 0.629960i | ||||
\(596\) | −4.45984 | − | 7.72467i | −0.182682 | − | 0.316415i | ||||
\(597\) | 8.34714 | − | 22.0096i | 0.341626 | − | 0.900793i | ||||
\(598\) | 1.39321 | − | 7.11255i | 0.0569725 | − | 0.290854i | ||||
\(599\) | −16.3344 | − | 43.0704i | −0.667407 | − | 1.75981i | −0.649971 | − | 0.759959i | \(-0.725219\pi\) |
−0.0174362 | − | 0.999848i | \(-0.505550\pi\) | |||||||
\(600\) | 7.63873 | − | 9.35574i | 0.311850 | − | 0.381947i | ||||
\(601\) | 6.06212 | − | 12.7756i | 0.247279 | − | 0.521129i | −0.741420 | − | 0.671041i | \(-0.765848\pi\) |
0.988699 | + | 0.149911i | \(0.0478988\pi\) | |||||||
\(602\) | −37.7649 | + | 12.6078i | −1.53918 | + | 0.513855i | ||||
\(603\) | 0.679491 | + | 0.984413i | 0.0276710 | + | 0.0400884i | ||||
\(604\) | 1.63301 | + | 7.99900i | 0.0664461 | + | 0.325475i | ||||
\(605\) | −1.31681 | + | 32.6763i | −0.0535359 | + | 1.32848i | ||||
\(606\) | −7.69647 | −0.312648 | ||||||||
\(607\) | 0.926586 | − | 22.9930i | 0.0376090 | − | 0.933257i | −0.864732 | − | 0.502234i | \(-0.832512\pi\) |
0.902341 | − | 0.431023i | \(-0.141847\pi\) | |||||||
\(608\) | 27.9204 | − | 20.9808i | 1.13232 | − | 0.850884i | ||||
\(609\) | −8.47830 | + | 1.37786i | −0.343558 | + | 0.0558336i | ||||
\(610\) | 42.3572 | − | 22.2308i | 1.71499 | − | 0.900098i | ||||
\(611\) | −20.4638 | + | 13.1695i | −0.827876 | + | 0.532780i | ||||
\(612\) | 1.41881 | + | 0.744647i | 0.0573519 | + | 0.0301006i | ||||
\(613\) | −30.0969 | − | 10.0478i | −1.21560 | − | 0.405828i | −0.364687 | − | 0.931130i | \(-0.618824\pi\) |
−0.850916 | + | 0.525303i | \(0.823952\pi\) | |||||||
\(614\) | −9.48538 | + | 46.4625i | −0.382799 | + | 1.87507i | ||||
\(615\) | −1.66978 | + | 5.76473i | −0.0673319 | + | 0.232457i | ||||
\(616\) | 0.767784 | + | 6.32327i | 0.0309349 | + | 0.254772i | ||||
\(617\) | 3.09716 | − | 1.03398i | 0.124687 | − | 0.0416266i | −0.253640 | − | 0.967299i | \(-0.581628\pi\) |
0.378327 | + | 0.925672i | \(0.376500\pi\) | |||||||
\(618\) | −16.4460 | − | 2.67274i | −0.661556 | − | 0.107513i | ||||
\(619\) | 26.4507 | − | 13.8824i | 1.06314 | − | 0.557980i | 0.159909 | − | 0.987132i | \(-0.448880\pi\) |
0.903232 | + | 0.429152i | \(0.141188\pi\) | |||||||
\(620\) | 8.25773 | − | 5.22187i | 0.331639 | − | 0.209716i | ||||
\(621\) | −1.10637 | + | 0.471381i | −0.0443971 | + | 0.0189159i | ||||
\(622\) | −8.66497 | + | 42.4438i | −0.347434 | + | 1.70184i | ||||
\(623\) | −49.4350 | − | 12.1846i | −1.98057 | − | 0.488167i | ||||
\(624\) | 0.861752 | + | 17.8538i | 0.0344977 | + | 0.714726i | ||||
\(625\) | 18.5076 | − | 4.56172i | 0.740306 | − | 0.182469i | ||||
\(626\) | −0.230740 | − | 5.72577i | −0.00922224 | − | 0.228848i | ||||
\(627\) | 0.352261 | + | 8.74126i | 0.0140679 | + | 0.349092i | ||||
\(628\) | 6.04109 | + | 7.39900i | 0.241066 | + | 0.295252i | ||||
\(629\) | 1.50764 | − | 3.97533i | 0.0601137 | − | 0.158507i | ||||
\(630\) | 7.04307 | + | 14.8430i | 0.280603 | + | 0.591357i | ||||
\(631\) | −13.3073 | + | 45.9421i | −0.529755 | + | 1.82893i | 0.0289786 | + | 0.999580i | \(0.490775\pi\) |
−0.558734 | + | 0.829347i | \(0.688713\pi\) | |||||||
\(632\) | 12.6033 | − | 18.2590i | 0.501331 | − | 0.726304i | ||||
\(633\) | −18.2652 | − | 7.78208i | −0.725977 | − | 0.309310i | ||||
\(634\) | 0.830863 | − | 0.135028i | 0.0329978 | − | 0.00536266i | ||||
\(635\) | 40.8073 | + | 25.8050i | 1.61939 | + | 1.02404i | ||||
\(636\) | 3.77622 | + | 5.47080i | 0.149737 | + | 0.216931i | ||||
\(637\) | −3.62327 | + | 5.33955i | −0.143559 | + | 0.211561i | ||||
\(638\) | −2.93181 | + | 4.24746i | −0.116071 | + | 0.168159i | ||||
\(639\) | 10.3215 | − | 4.39757i | 0.408311 | − | 0.173965i | ||||
\(640\) | 12.1710 | + | 42.0190i | 0.481099 | + | 1.66095i | ||||
\(641\) | 15.1865 | − | 1.22598i | 0.599830 | − | 0.0484233i | 0.223177 | − | 0.974778i | \(-0.428357\pi\) |
0.376653 | + | 0.926355i | \(0.377075\pi\) | |||||||
\(642\) | −13.5780 | + | 12.0290i | −0.535880 | + | 0.474748i | ||||
\(643\) | −10.6824 | + | 6.75515i | −0.421273 | + | 0.266397i | −0.728239 | − | 0.685324i | \(-0.759661\pi\) |
0.306965 | + | 0.951721i | \(0.400686\pi\) | |||||||
\(644\) | 2.60413 | + | 1.10951i | 0.102617 | + | 0.0437210i | ||||
\(645\) | 3.21057 | − | 26.4415i | 0.126416 | − | 1.04113i | ||||
\(646\) | 5.53927 | + | 27.1331i | 0.217940 | + | 1.06754i | ||||
\(647\) | 10.0700 | + | 0.812931i | 0.395891 | + | 0.0319596i | 0.276809 | − | 0.960925i | \(-0.410723\pi\) |
0.119082 | + | 0.992884i | \(0.462005\pi\) | |||||||
\(648\) | 1.61165 | − | 1.21108i | 0.0633117 | − | 0.0475757i | ||||
\(649\) | −1.86238 | + | 15.3381i | −0.0731048 | + | 0.602072i | ||||
\(650\) | 20.2742 | − | 29.8777i | 0.795219 | − | 1.17190i | ||||
\(651\) | −1.32653 | − | 10.9249i | −0.0519906 | − | 0.428181i | ||||
\(652\) | 1.05855 | + | 1.10207i | 0.0414560 | + | 0.0431603i | ||||
\(653\) | 0.984412 | + | 1.70505i | 0.0385230 | + | 0.0667238i | 0.884644 | − | 0.466267i | \(-0.154401\pi\) |
−0.846121 | + | 0.532991i | \(0.821068\pi\) | |||||||
\(654\) | −6.42459 | + | 11.1277i | −0.251222 | + | 0.435128i | ||||
\(655\) | 35.5067 | − | 8.75162i | 1.38736 | − | 0.341954i | ||||
\(656\) | −5.67596 | − | 6.95179i | −0.221609 | − | 0.271422i | ||||
\(657\) | −3.27997 | + | 5.68108i | −0.127964 | + | 0.221640i | ||||
\(658\) | −11.8604 | − | 31.2734i | −0.462368 | − | 1.21917i | ||||
\(659\) | 30.0002 | − | 31.2335i | 1.16864 | − | 1.21668i | 0.196954 | − | 0.980413i | \(-0.436895\pi\) |
0.971687 | − | 0.236272i | \(-0.0759255\pi\) | |||||||
\(660\) | 2.66072 | + | 0.888280i | 0.103568 | + | 0.0345762i | ||||
\(661\) | 4.12934 | + | 14.2562i | 0.160613 | + | 0.554500i | 0.999941 | + | 0.0108746i | \(0.00346157\pi\) |
−0.839328 | + | 0.543625i | \(0.817051\pi\) | |||||||
\(662\) | −28.1268 | + | 24.9182i | −1.09318 | + | 0.968472i | ||||
\(663\) | −6.71718 | − | 2.79902i | −0.260874 | − | 0.108705i | ||||
\(664\) | −5.83436 | − | 5.16880i | −0.226417 | − | 0.200588i | ||||
\(665\) | −34.5886 | + | 72.8940i | −1.34129 | + | 2.82671i | ||||
\(666\) | 2.43916 | + | 2.53943i | 0.0945154 | + | 0.0984009i | ||||
\(667\) | −1.49366 | − | 3.14782i | −0.0578347 | − | 0.121884i | ||||
\(668\) | −1.31021 | − | 0.322937i | −0.0506934 | − | 0.0124948i | ||||
\(669\) | 0.313354 | − | 0.326236i | 0.0121150 | − | 0.0126130i | ||||
\(670\) | 5.29911 | + | 3.98202i | 0.204722 | + | 0.153839i | ||||
\(671\) | −6.88618 | − | 6.10062i | −0.265838 | − | 0.235512i | ||||
\(672\) | −12.4504 | − | 2.02338i | −0.480283 | − | 0.0780536i | ||||
\(673\) | 29.1728 | + | 18.4478i | 1.12453 | + | 0.711109i | 0.961307 | − | 0.275481i | \(-0.0888370\pi\) |
0.163222 | + | 0.986589i | \(0.447811\pi\) | |||||||
\(674\) | −38.6111 | − | 3.11701i | −1.48724 | − | 0.120063i | ||||
\(675\) | −5.99120 | −0.230601 | ||||||||
\(676\) | 1.40685 | + | 10.2246i | 0.0541095 | + | 0.393253i | ||||
\(677\) | 18.0232 | 0.692688 | 0.346344 | − | 0.938108i | \(-0.387423\pi\) | ||||
0.346344 | + | 0.938108i | \(0.387423\pi\) | |||||||
\(678\) | 13.5484 | + | 1.09374i | 0.520322 | + | 0.0420047i | ||||
\(679\) | 2.61848 | + | 1.65583i | 0.100488 | + | 0.0635448i | ||||
\(680\) | −13.3146 | − | 2.16383i | −0.510592 | − | 0.0829792i | ||||
\(681\) | 3.73677 | + | 3.31049i | 0.143193 | + | 0.126858i | ||||
\(682\) | −5.28631 | − | 3.97240i | −0.202423 | − | 0.152111i | ||||
\(683\) | 24.1237 | − | 25.1154i | 0.923068 | − | 0.961015i | −0.0762814 | − | 0.997086i | \(-0.524305\pi\) |
0.999349 | + | 0.0360709i | \(0.0114842\pi\) | |||||||
\(684\) | −6.32770 | − | 1.55964i | −0.241945 | − | 0.0596342i | ||||
\(685\) | 18.2925 | + | 38.5506i | 0.698921 | + | 1.47294i | ||||
\(686\) | 17.8862 | + | 18.6215i | 0.682897 | + | 0.710971i | ||||
\(687\) | 0.888131 | − | 1.87170i | 0.0338843 | − | 0.0714097i | ||||
\(688\) | 29.8129 | + | 26.4119i | 1.13661 | + | 1.00695i | ||||
\(689\) | −19.2786 | − | 23.2324i | −0.734456 | − | 0.885083i | ||||
\(690\) | −4.98827 | + | 4.41922i | −0.189900 | + | 0.168237i | ||||
\(691\) | −3.22966 | − | 11.1501i | −0.122862 | − | 0.424169i | 0.875380 | − | 0.483435i | \(-0.160611\pi\) |
−0.998242 | + | 0.0592664i | \(0.981124\pi\) | |||||||
\(692\) | −12.6321 | − | 4.21720i | −0.480199 | − | 0.160314i | ||||
\(693\) | 2.18875 | − | 2.27873i | 0.0831437 | − | 0.0865617i | ||||
\(694\) | −19.5439 | − | 51.5331i | −0.741877 | − | 1.95617i | ||||
\(695\) | 28.7027 | − | 49.7145i | 1.08876 | − | 1.88578i | ||||
\(696\) | 3.69394 | + | 4.52426i | 0.140018 | + | 0.171491i | ||||
\(697\) | 3.54753 | − | 0.874388i | 0.134372 | − | 0.0331198i | ||||
\(698\) | 4.85321 | − | 8.40601i | 0.183697 | − | 0.318172i | ||||
\(699\) | −0.907447 | − | 1.57174i | −0.0343228 | − | 0.0594488i | ||||
\(700\) | 9.76867 | + | 10.1703i | 0.369221 | + | 0.384400i | ||||
\(701\) | −5.79340 | − | 47.7129i | −0.218814 | − | 1.80209i | −0.526044 | − | 0.850457i | \(-0.676325\pi\) |
0.307230 | − | 0.951635i | \(-0.400598\pi\) | |||||||
\(702\) | 4.47911 | − | 4.03218i | 0.169053 | − | 0.152185i | ||||
\(703\) | −2.08434 | + | 17.1661i | −0.0786126 | + | 0.647433i | ||||
\(704\) | 2.38859 | − | 1.79491i | 0.0900235 | − | 0.0676483i | ||||
\(705\) | 22.3036 | + | 1.80053i | 0.840002 | + | 0.0678120i | ||||
\(706\) | 11.0246 | + | 54.0020i | 0.414916 | + | 2.03239i | ||||
\(707\) | −1.64547 | + | 13.5517i | −0.0618844 | + | 0.509664i | ||||
\(708\) | −10.5890 | − | 4.51153i | −0.397957 | − | 0.169554i | ||||
\(709\) | −15.3602 | + | 9.71321i | −0.576865 | + | 0.364787i | −0.790813 | − | 0.612058i | \(-0.790342\pi\) |
0.213948 | + | 0.976845i | \(0.431368\pi\) | |||||||
\(710\) | 46.5362 | − | 41.2275i | 1.74647 | − | 1.54724i | ||||
\(711\) | −10.9696 | + | 0.885557i | −0.411392 | + | 0.0332110i | ||||
\(712\) | 9.63215 | + | 33.2540i | 0.360980 | + | 1.24625i | ||||
\(713\) | 4.10686 | − | 1.74977i | 0.153803 | − | 0.0655295i | ||||
\(714\) | 5.68163 | − | 8.23127i | 0.212630 | − | 0.308047i | ||||
\(715\) | −12.3929 | − | 2.95023i | −0.463468 | − | 0.110332i | ||||
\(716\) | 5.21235 | + | 7.55140i | 0.194795 | + | 0.282209i | ||||
\(717\) | 2.26320 | + | 1.43116i | 0.0845206 | + | 0.0534476i | ||||
\(718\) | 38.2964 | − | 6.22378i | 1.42921 | − | 0.232269i | ||||
\(719\) | 8.39730 | + | 3.57775i | 0.313166 | + | 0.133428i | 0.542831 | − | 0.839842i | \(-0.317353\pi\) |
−0.229664 | + | 0.973270i | \(0.573763\pi\) | |||||||
\(720\) | 9.33653 | − | 13.5263i | 0.347952 | − | 0.504096i | ||||
\(721\) | −8.22217 | + | 28.3862i | −0.306209 | + | 1.05716i | ||||
\(722\) | −34.6699 | − | 73.0654i | −1.29028 | − | 2.71921i | ||||
\(723\) | −10.0253 | + | 26.4345i | −0.372845 | + | 0.983111i | ||||
\(724\) | 11.3531 | + | 13.9050i | 0.421934 | + | 0.516775i | ||||
\(725\) | −0.698931 | − | 17.3438i | −0.0259576 | − | 0.644132i | ||||
\(726\) | 0.663906 | + | 16.4747i | 0.0246399 | + | 0.611432i | ||||
\(727\) | −18.6516 | + | 4.59719i | −0.691748 | + | 0.170501i | −0.569490 | − | 0.821998i | \(-0.692859\pi\) |
−0.122257 | + | 0.992498i | \(0.539013\pi\) | |||||||
\(728\) | 21.4930 | + | 1.56316i | 0.796584 | + | 0.0579345i | ||||
\(729\) | −0.970942 | − | 0.239316i | −0.0359608 | − | 0.00886354i | ||||
\(730\) | −7.27135 | + | 35.6174i | −0.269125 | + | 1.31826i | ||||
\(731\) | −14.9177 | + | 6.35583i | −0.551750 | + | 0.235079i | ||||
\(732\) | 5.79242 | − | 3.66291i | 0.214094 | − | 0.135385i | ||||
\(733\) | −27.8157 | + | 14.5988i | −1.02740 | + | 0.539219i | −0.892219 | − | 0.451603i | \(-0.850852\pi\) |
−0.135176 | + | 0.990822i | \(0.543160\pi\) | |||||||
\(734\) | 6.41198 | + | 1.04205i | 0.236671 | + | 0.0384627i | ||||
\(735\) | 5.62801 | − | 1.87890i | 0.207592 | − | 0.0693044i | ||||
\(736\) | −0.616734 | − | 5.07926i | −0.0227331 | − | 0.187224i | ||||
\(737\) | 0.354666 | − | 1.22445i | 0.0130643 | − | 0.0451031i | ||||
\(738\) | −0.605262 | + | 2.96477i | −0.0222800 | + | 0.109135i | ||||
\(739\) | 45.0165 | + | 15.0287i | 1.65596 | + | 0.552840i | 0.982480 | − | 0.186367i | \(-0.0596715\pi\) |
0.673478 | + | 0.739207i | \(0.264800\pi\) | |||||||
\(740\) | 4.90949 | + | 2.57670i | 0.180476 | + | 0.0947213i | ||||
\(741\) | 29.2507 | + | 4.51523i | 1.07455 | + | 0.165871i | ||||
\(742\) | 36.7405 | − | 19.2829i | 1.34879 | − | 0.707898i | ||||
\(743\) | 20.9418 | − | 3.40337i | 0.768280 | − | 0.124858i | 0.236375 | − | 0.971662i | \(-0.424041\pi\) |
0.531905 | + | 0.846804i | \(0.321476\pi\) | |||||||
\(744\) | −5.98248 | + | 4.49554i | −0.219328 | + | 0.164815i | ||||
\(745\) | 1.49981 | − | 37.2173i | 0.0549486 | − | 1.36354i | ||||
\(746\) | −20.2665 | −0.742010 | ||||||||
\(747\) | −0.155686 | + | 3.86330i | −0.00569625 | + | 0.141351i | ||||
\(748\) | −0.341579 | − | 1.67316i | −0.0124894 | − | 0.0611769i | ||||
\(749\) | 18.2774 | + | 26.4794i | 0.667842 | + | 0.967537i | ||||
\(750\) | −5.21007 | + | 1.73938i | −0.190245 | + | 0.0635131i | ||||
\(751\) | 5.77771 | − | 12.1763i | 0.210831 | − | 0.444318i | −0.770294 | − | 0.637689i | \(-0.779891\pi\) |
0.981126 | + | 0.193371i | \(0.0619420\pi\) | |||||||
\(752\) | −21.1617 | + | 25.9184i | −0.771689 | + | 0.945147i | ||||
\(753\) | −3.23972 | − | 8.54245i | −0.118062 | − | 0.311304i | ||||
\(754\) | 12.1952 | + | 12.4961i | 0.444123 | + | 0.455081i | ||||
\(755\) | −12.0891 | + | 31.8764i | −0.439969 | + | 1.16010i | ||||
\(756\) | 1.17688 | + | 2.03841i | 0.0428026 | + | 0.0741363i | ||||
\(757\) | 28.1127 | − | 34.4318i | 1.02177 | − | 1.25144i | 0.0542848 | − | 0.998525i | \(-0.482712\pi\) |
0.967488 | − | 0.252918i | \(-0.0813904\pi\) | |||||||
\(758\) | 10.2691 | + | 7.71670i | 0.372989 | + | 0.280283i | ||||
\(759\) | 1.13485 | + | 0.595615i | 0.0411924 | + | 0.0216195i | ||||
\(760\) | 54.6858 | − | 4.41469i | 1.98366 | − | 0.160138i | ||||
\(761\) | −23.3923 | + | 1.88842i | −0.847970 | + | 0.0684552i | −0.496809 | − | 0.867860i | \(-0.665495\pi\) |
−0.351161 | + | 0.936315i | \(0.614213\pi\) | |||||||
\(762\) | 21.5543 | + | 11.3126i | 0.780831 | + | 0.409812i | ||||
\(763\) | 18.2198 | + | 13.6913i | 0.659600 | + | 0.495658i | ||||
\(764\) | 4.28265 | − | 5.24530i | 0.154941 | − | 0.189768i | ||||
\(765\) | 3.34560 | + | 5.79476i | 0.120961 | + | 0.209510i | ||||
\(766\) | 10.7987 | − | 28.4737i | 0.390172 | − | 1.02880i | ||||
\(767\) | 49.7123 | + | 16.1582i | 1.79501 | + | 0.583437i | ||||
\(768\) | 5.83283 | + | 15.3799i | 0.210474 | + | 0.554975i | ||||
\(769\) | 27.8479 | − | 34.1075i | 1.00422 | − | 1.22995i | 0.0311343 | − | 0.999515i | \(-0.490088\pi\) |
0.973088 | − | 0.230434i | \(-0.0740145\pi\) | |||||||
\(770\) | 7.50603 | − | 15.8186i | 0.270499 | − | 0.570064i | ||||
\(771\) | 4.74979 | − | 1.58571i | 0.171060 | − | 0.0571081i | ||||
\(772\) | 6.76642 | + | 9.80285i | 0.243529 | + | 0.352812i | ||||
\(773\) | 9.20246 | + | 45.0766i | 0.330989 | + | 1.62129i | 0.715805 | + | 0.698300i | \(0.246060\pi\) |
−0.384816 | + | 0.922993i | \(0.625735\pi\) | |||||||
\(774\) | 0.540736 | − | 13.4182i | 0.0194364 | − | 0.482308i | ||||
\(775\) | 22.2394 | 0.798863 | ||||||||
\(776\) | 0.0848263 | − | 2.10494i | 0.00304509 | − | 0.0755631i | ||||
\(777\) | 4.99283 | − | 3.75187i | 0.179117 | − | 0.134597i | ||||
\(778\) | 21.4056 | − | 3.47875i | 0.767428 | − | 0.124719i | ||||
\(779\) | −13.1582 | + | 6.90595i | −0.471441 | + | 0.247431i | ||||
\(780\) | 4.67952 | − | 8.25610i | 0.167554 | − | 0.295616i | ||||
\(781\) | −10.5872 | − | 5.55657i | −0.378838 | − | 0.198830i | ||||
\(782\) | 3.84827 | + | 1.28474i | 0.137614 | + | 0.0459422i | ||||
\(783\) | 0.579520 | − | 2.83868i | 0.0207104 | − | 0.101446i | ||||
\(784\) | −2.46847 | + | 8.52214i | −0.0881596 | + | 0.304362i | ||||
\(785\) | 4.80795 | + | 39.5970i | 0.171603 | + | 1.41328i | ||||
\(786\) | 17.4886 | − | 5.83856i | 0.623799 | − | 0.208255i | ||||
\(787\) | 5.44842 | + | 0.885454i | 0.194215 | + | 0.0315630i | 0.256741 | − | 0.966480i | \(-0.417351\pi\) |
−0.0625255 | + | 0.998043i | \(0.519915\pi\) | |||||||
\(788\) | −15.9622 | + | 8.37761i | −0.568630 | + | 0.298440i | ||||
\(789\) | 19.3144 | − | 12.2137i | 0.687612 | − | 0.434820i | ||||
\(790\) | −56.1059 | + | 23.9045i | −1.99616 | + | 0.850483i | ||||
\(791\) | 4.82240 | − | 23.6217i | 0.171465 | − | 0.839891i | ||||
\(792\) | −2.08606 | − | 0.514167i | −0.0741248 | − | 0.0182701i | ||||
\(793\) | −24.7328 | + | 18.8951i | −0.878288 | + | 0.670986i | ||||
\(794\) | −10.8242 | + | 2.66792i | −0.384136 | + | 0.0946810i | ||||
\(795\) | 1.11775 | + | 27.7367i | 0.0396425 | + | 0.983720i | ||||
\(796\) | −0.752497 | − | 18.6730i | −0.0266716 | − | 0.661848i | ||||
\(797\) | 16.1229 | + | 19.7469i | 0.571102 | + | 0.699473i | 0.976707 | − | 0.214575i | \(-0.0688368\pi\) |
−0.405606 | + | 0.914048i | \(0.632939\pi\) | |||||||
\(798\) | −14.4250 | + | 38.0356i | −0.510640 | + | 1.34645i | ||||
\(799\) | −5.83970 | − | 12.3069i | −0.206594 | − | 0.435387i | ||||
\(800\) | 7.09176 | − | 24.4836i | 0.250732 | − | 0.865626i | ||||
\(801\) | 9.75556 | − | 14.1334i | 0.344696 | − | 0.499378i | ||||
\(802\) | 33.0255 | + | 14.0709i | 1.16617 | + | 0.496859i | ||||
\(803\) | 6.90062 | − | 1.12146i | 0.243518 | − | 0.0395755i | ||||
\(804\) | 0.802629 | + | 0.507552i | 0.0283065 | + | 0.0179000i | ||||
\(805\) | 6.71475 | + | 9.72799i | 0.236664 | + | 0.342867i | ||||
\(806\) | −16.6265 | + | 14.9675i | −0.585644 | + | 0.527208i | ||||
\(807\) | −15.8667 | + | 22.9869i | −0.558535 | + | 0.809178i | ||||
\(808\) | 8.53979 | − | 3.63847i | 0.300429 | − | 0.128001i | ||||
\(809\) | 0.251853 | + | 0.869496i | 0.00885467 | + | 0.0305699i | 0.964824 | − | 0.262897i | \(-0.0846780\pi\) |
−0.955969 | + | 0.293467i | \(0.905191\pi\) | |||||||
\(810\) | −5.52355 | + | 0.445907i | −0.194078 | + | 0.0156676i | ||||
\(811\) | −33.6818 | + | 29.8395i | −1.18273 | + | 1.04781i | −0.184846 | + | 0.982767i | \(0.559179\pi\) |
−0.997883 | + | 0.0650392i | \(0.979283\pi\) | |||||||
\(812\) | −5.76366 | + | 3.64472i | −0.202265 | + | 0.127904i | ||||
\(813\) | −5.71227 | − | 2.43377i | −0.200338 | − | 0.0853561i | ||||
\(814\) | 0.452321 | − | 3.72520i | 0.0158538 | − | 0.130568i | ||||
\(815\) | 1.27639 | + | 6.25219i | 0.0447101 | + | 0.219005i | ||||
\(816\) | −9.97325 | − | 0.805124i | −0.349134 | − | 0.0281850i | ||||
\(817\) | 52.7238 | − | 39.6193i | 1.84457 | − | 1.38610i | ||||
\(818\) | 1.99264 | − | 16.4108i | 0.0696709 | − | 0.573791i | ||||
\(819\) | −6.14211 | − | 8.74874i | −0.214623 | − | 0.305706i | ||||
\(820\) | 0.574338 | + | 4.73010i | 0.0200567 | + | 0.165182i | ||||
\(821\) | 6.75366 | + | 7.03131i | 0.235704 | + | 0.245394i | 0.828541 | − | 0.559929i | \(-0.189171\pi\) |
−0.592836 | + | 0.805323i | \(0.701992\pi\) | |||||||
\(822\) | 10.7568 | + | 18.6312i | 0.375185 | + | 0.649839i | ||||
\(823\) | 0.620399 | − | 1.07456i | 0.0216257 | − | 0.0374569i | −0.855010 | − | 0.518612i | \(-0.826449\pi\) |
0.876636 | + | 0.481155i | \(0.159782\pi\) | |||||||
\(824\) | 19.5116 | − | 4.80917i | 0.679718 | − | 0.167536i | ||||
\(825\) | 4.03818 | + | 4.94587i | 0.140591 | + | 0.172193i | ||||
\(826\) | −35.9223 | + | 62.2192i | −1.24990 | + | 2.16488i | ||||
\(827\) | 5.40318 | + | 14.2470i | 0.187887 | + | 0.495417i | 0.995551 | − | 0.0942258i | \(-0.0300376\pi\) |
−0.807664 | + | 0.589643i | \(0.799268\pi\) | |||||||
\(828\) | −0.661390 | + | 0.688580i | −0.0229849 | + | 0.0239298i | ||||
\(829\) | −0.121826 | − | 0.0406714i | −0.00423118 | − | 0.00141258i | 0.314552 | − | 0.949240i | \(-0.398146\pi\) |
−0.318783 | + | 0.947828i | \(0.603274\pi\) | |||||||
\(830\) | 5.96108 | + | 20.5800i | 0.206912 | + | 0.714343i | ||||
\(831\) | 14.0414 | − | 12.4396i | 0.487090 | − | 0.431524i | ||||
\(832\) | −4.40584 | − | 9.09759i | −0.152745 | − | 0.315402i | ||||
\(833\) | −2.70370 | − | 2.39527i | −0.0936775 | − | 0.0829911i | ||||
\(834\) | 12.4075 | − | 26.1482i | 0.429635 | − | 0.905437i | ||||
\(835\) | −3.90351 | − | 4.06398i | −0.135086 | − | 0.140640i | ||||
\(836\) | 2.97747 | + | 6.27488i | 0.102978 | + | 0.217021i | ||||
\(837\) | 3.60415 | + | 0.888343i | 0.124578 | + | 0.0307056i | ||||
\(838\) | −26.7313 | + | 27.8302i | −0.923417 | + | 0.961379i | ||||
\(839\) | −18.1960 | − | 13.6734i | −0.628194 | − | 0.472057i | 0.238335 | − | 0.971183i | \(-0.423398\pi\) |
−0.866530 | + | 0.499126i | \(0.833655\pi\) | |||||||
\(840\) | −14.8317 | − | 13.1398i | −0.511743 | − | 0.453365i | ||||
\(841\) | −20.3392 | − | 3.30545i | −0.701353 | − | 0.113981i | ||||
\(842\) | 6.79326 | + | 4.29580i | 0.234111 | + | 0.148043i | ||||
\(843\) | 19.7860 | + | 1.59729i | 0.681467 | + | 0.0550137i | ||||
\(844\) | −15.7623 | −0.542562 | ||||||||
\(845\) | −17.8545 | + | 39.2266i | −0.614214 | + | 1.34944i | ||||
\(846\) | 11.2816 | 0.387868 | ||||||||
\(847\) | 29.1500 | + | 2.35323i | 1.00161 | + | 0.0808580i | ||||
\(848\) | −35.0836 | − | 22.1855i | −1.20478 | − | 0.761855i | ||||
\(849\) | 12.9368 | + | 2.10244i | 0.443991 | + | 0.0721556i | ||||
\(850\) | 15.1287 | + | 13.4028i | 0.518909 | + | 0.459713i | ||||
\(851\) | 2.02527 | + | 1.52189i | 0.0694253 | + | 0.0521697i | ||||
\(852\) | 6.17019 | − | 6.42385i | 0.211387 | − | 0.220077i | ||||
\(853\) | 28.1881 | + | 6.94775i | 0.965143 | + | 0.237886i | 0.690236 | − | 0.723584i | \(-0.257507\pi\) |
0.274907 | + | 0.961471i | \(0.411353\pi\) | |||||||
\(854\) | −18.3388 | − | 38.6482i | −0.627541 | − | 1.32251i | ||||
\(855\) | −18.8522 | − | 19.6272i | −0.644730 | − | 0.671235i | ||||
\(856\) | 9.37908 | − | 19.7660i | 0.320571 | − | 0.675588i | ||||
\(857\) | −5.65438 | − | 5.00934i | −0.193150 | − | 0.171116i | 0.561005 | − | 0.827812i | \(-0.310415\pi\) |
−0.754155 | + | 0.656697i | \(0.771953\pi\) | |||||||
\(858\) | −6.34766 | − | 0.979846i | −0.216705 | − | 0.0334514i | ||||
\(859\) | −15.5464 | + | 13.7730i | −0.530438 | + | 0.469927i | −0.885319 | − | 0.464984i | \(-0.846060\pi\) |
0.354881 | + | 0.934912i | \(0.384521\pi\) | |||||||
\(860\) | −5.88332 | − | 20.3116i | −0.200619 | − | 0.692619i | ||||
\(861\) | 5.09087 | + | 1.69958i | 0.173496 | + | 0.0579216i | ||||
\(862\) | 10.6847 | − | 11.1240i | 0.363923 | − | 0.378884i | ||||
\(863\) | 5.73473 | + | 15.1212i | 0.195212 | + | 0.514733i | 0.996504 | − | 0.0835407i | \(-0.0266228\pi\) |
−0.801292 | + | 0.598274i | \(0.795854\pi\) | |||||||
\(864\) | 2.12729 | − | 3.68457i | 0.0723718 | − | 0.125352i | ||||
\(865\) | −35.1715 | − | 43.0773i | −1.19587 | − | 1.46467i | ||||
\(866\) | −28.1467 | + | 6.93753i | −0.956463 | + | 0.235747i | ||||
\(867\) | −6.46327 | + | 11.1947i | −0.219504 | + | 0.380192i | ||||
\(868\) | −4.36858 | − | 7.56661i | −0.148279 | − | 0.256827i | ||||
\(869\) | 8.12475 | + | 8.45877i | 0.275613 | + | 0.286944i | ||||
\(870\) | −1.93522 | − | 15.9380i | −0.0656102 | − | 0.540349i | ||||
\(871\) | −3.83460 | − | 1.97382i | −0.129930 | − | 0.0668803i | ||||
\(872\) | 1.86798 | − | 15.3842i | 0.0632578 | − | 0.520975i | ||||
\(873\) | −0.835402 | + | 0.627764i | −0.0282741 | + | 0.0212466i | ||||
\(874\) | −16.4474 | − | 1.32777i | −0.556341 | − | 0.0449125i | ||||
\(875\) | 1.94875 | + | 9.54560i | 0.0658797 | + | 0.322700i | ||||
\(876\) | −0.627760 | + | 5.17007i | −0.0212100 | + | 0.174680i | ||||
\(877\) | 12.1777 | + | 5.18843i | 0.411212 | + | 0.175201i | 0.587658 | − | 0.809109i | \(-0.300050\pi\) |
−0.176446 | + | 0.984310i | \(0.556460\pi\) | |||||||
\(878\) | −21.8827 | + | 13.8378i | −0.738505 | + | 0.467002i | ||||
\(879\) | −5.46611 | + | 4.84255i | −0.184367 | + | 0.163335i | ||||
\(880\) | −17.4593 | + | 1.40946i | −0.588552 | + | 0.0475128i | ||||
\(881\) | −9.01060 | − | 31.1082i | −0.303575 | − | 1.04806i | −0.956764 | − | 0.290866i | \(-0.906056\pi\) |
0.653189 | − | 0.757195i | \(-0.273431\pi\) | |||||||
\(882\) | 2.75209 | − | 1.17256i | 0.0926677 | − | 0.0394820i | ||||
\(883\) | −4.59024 | + | 6.65012i | −0.154474 | + | 0.223794i | −0.892578 | − | 0.450892i | \(-0.851106\pi\) |
0.738104 | + | 0.674687i | \(0.235721\pi\) | |||||||
\(884\) | −5.77716 | + | 0.0459455i | −0.194307 | + | 0.00154532i | ||||
\(885\) | −27.3037 | − | 39.5562i | −0.917803 | − | 1.32967i | ||||
\(886\) | −48.3908 | − | 30.6005i | −1.62572 | − | 1.02804i | ||||
\(887\) | −42.1062 | + | 6.84293i | −1.41379 | + | 0.229763i | −0.818850 | − | 0.574008i | \(-0.805388\pi\) |
−0.594939 | + | 0.803771i | \(0.702824\pi\) | |||||||
\(888\) | −3.90692 | − | 1.66458i | −0.131108 | − | 0.0558598i | ||||
\(889\) | 24.5271 | − | 35.5336i | 0.822611 | − | 1.19176i | ||||
\(890\) | 26.4770 | − | 91.4091i | 0.887510 | − | 3.06404i | ||||
\(891\) | 0.456872 | + | 0.962837i | 0.0153058 | + | 0.0322563i | ||||
\(892\) | 0.127348 | − | 0.335790i | 0.00426394 | − | 0.0112431i | ||||
\(893\) | 35.0400 | + | 42.9162i | 1.17257 | + | 1.43614i | ||||
\(894\) | −0.756170 | − | 18.7642i | −0.0252901 | − | 0.627567i | ||||
\(895\) | 1.54284 | + | 38.2853i | 0.0515716 | + | 1.27974i | ||||
\(896\) | 37.9838 | − | 9.36215i | 1.26895 | − | 0.312768i | ||||
\(897\) | 2.71552 | − | 3.38043i | 0.0906685 | − | 0.112869i | ||||
\(898\) | 5.27009 | + | 1.29896i | 0.175865 | + | 0.0433469i | ||||
\(899\) | −2.15119 | + | 10.5372i | −0.0717461 | + | 0.351435i | ||||
\(900\) | −4.37589 | + | 1.86439i | −0.145863 | + | 0.0621464i | ||||
\(901\) | 14.2831 | − | 9.03206i | 0.475838 | − | 0.300901i | ||||
\(902\) | 2.85544 | − | 1.49865i | 0.0950759 | − | 0.0498997i | ||||
\(903\) | −23.5108 | − | 3.82087i | −0.782390 | − | 0.127151i | ||||
\(904\) | −15.5500 | + | 5.19134i | −0.517184 | + | 0.172661i | ||||
\(905\) | 9.03563 | + | 74.4151i | 0.300354 | + | 2.47364i | ||||
\(906\) | −4.78210 | + | 16.5097i | −0.158875 | + | 0.548499i | ||||
\(907\) | 0.494586 | − | 2.42264i | 0.0164224 | − | 0.0804425i | −0.970754 | − | 0.240078i | \(-0.922827\pi\) |
0.987176 | + | 0.159636i | \(0.0510320\pi\) | |||||||
\(908\) | 3.75947 | + | 1.25509i | 0.124762 | + | 0.0416518i | ||||
\(909\) | −4.07710 | − | 2.13983i | −0.135229 | − | 0.0709737i | ||||
\(910\) | −47.6375 | − | 35.2080i | −1.57917 | − | 1.16713i | ||||
\(911\) | 28.2983 | − | 14.8521i | 0.937564 | − | 0.492072i | 0.0745308 | − | 0.997219i | \(-0.476254\pi\) |
0.863033 | + | 0.505147i | \(0.168562\pi\) | |||||||
\(912\) | 40.1682 | − | 6.52797i | 1.33010 | − | 0.216163i | ||||
\(913\) | 3.29418 | − | 2.47541i | 0.109021 | − | 0.0819243i | ||||
\(914\) | 2.27251 | − | 56.3917i | 0.0751679 | − | 1.86527i | ||||
\(915\) | 28.6190 | 0.946114 | ||||||||
\(916\) | 0.0662282 | − | 1.64344i | 0.00218824 | − | 0.0543007i | ||||
\(917\) | −6.54135 | − | 32.0417i | −0.216014 | − | 1.05811i | ||||
\(918\) | 1.91640 | + | 2.77639i | 0.0632507 | + | 0.0916344i | ||||
\(919\) | −46.0135 | + | 15.3615i | −1.51784 | + | 0.506731i | −0.948881 | − | 0.315633i | \(-0.897783\pi\) |
−0.568963 | + | 0.822363i | \(0.692655\pi\) | |||||||
\(920\) | 3.44568 | − | 7.26163i | 0.113601 | − | 0.239409i | ||||
\(921\) | −17.9426 | + | 21.9757i | −0.591229 | + | 0.724124i | ||||
\(922\) | −21.4831 | − | 56.6463i | −0.707508 | − | 1.86555i | ||||
\(923\) | −25.3334 | + | 31.5364i | −0.833859 | + | 1.03803i | ||||
\(924\) | 0.889518 | − | 2.34547i | 0.0292630 | − | 0.0771601i | ||||
\(925\) | 6.31039 | + | 10.9299i | 0.207484 | + | 0.359373i | ||||
\(926\) | 17.0648 | − | 20.9006i | 0.560784 | − | 0.686836i | ||||
\(927\) | −7.96897 | − | 5.98830i | −0.261735 | − | 0.196681i | ||||
\(928\) | 10.9145 | + | 5.72839i | 0.358287 | + | 0.188044i | ||||
\(929\) | 2.42601 | − | 0.195848i | 0.0795949 | − | 0.00642556i | −0.0406050 | − | 0.999175i | \(-0.512929\pi\) |
0.120200 | + | 0.992750i | \(0.461646\pi\) | |||||||
\(930\) | 20.5035 | − | 1.65521i | 0.672336 | − | 0.0542766i | ||||
\(931\) | 13.0084 | + | 6.82732i | 0.426332 | + | 0.223756i | ||||
\(932\) | −1.15190 | − | 0.865593i | −0.0377316 | − | 0.0283534i | ||||
\(933\) | −16.3907 | + | 20.0750i | −0.536608 | + | 0.657225i | ||||
\(934\) | −10.6576 | − | 18.4595i | −0.348727 | − | 0.604013i | ||||
\(935\) | 2.52870 | − | 6.66764i | 0.0826974 | − | 0.218055i | ||||
\(936\) | −3.06371 | + | 6.59147i | −0.100140 | + | 0.215449i | ||||
\(937\) | 2.84619 | + | 7.50478i | 0.0929809 | + | 0.245171i | 0.973436 | − | 0.228959i | \(-0.0735321\pi\) |
−0.880455 | + | 0.474129i | \(0.842763\pi\) | |||||||
\(938\) | 3.74889 | − | 4.59156i | 0.122406 | − | 0.149920i | ||||
\(939\) | 1.46969 | − | 3.09730i | 0.0479615 | − | 0.101077i | ||||
\(940\) | 16.8505 | − | 5.62554i | 0.549604 | − | 0.183485i | ||||
\(941\) | 7.11026 | + | 10.3010i | 0.231788 | + | 0.335803i | 0.921569 | − | 0.388216i | \(-0.126908\pi\) |
−0.689781 | + | 0.724018i | \(0.742293\pi\) | |||||||
\(942\) | 4.02264 | + | 19.7042i | 0.131065 | + | 0.641997i | ||||
\(943\) | −0.0876621 | + | 2.17531i | −0.00285467 | + | 0.0708379i | ||||
\(944\) | 71.8730 | 2.33927 | ||||||||
\(945\) | −0.395774 | + | 9.82103i | −0.0128745 | + | 0.319478i | ||||
\(946\) | −11.4415 | + | 8.59774i | −0.371996 | + | 0.279537i | ||||
\(947\) | 6.73039 | − | 1.09380i | 0.218708 | − | 0.0355436i | −0.0500696 | − | 0.998746i | \(-0.515944\pi\) |
0.268778 | + | 0.963202i | \(0.413380\pi\) | |||||||
\(948\) | −7.73646 | + | 4.06041i | −0.251269 | + | 0.131876i | ||||
\(949\) | 0.764402 | − | 23.6399i | 0.0248135 | − | 0.767382i | ||||
\(950\) | −72.7889 | − | 38.2026i | −2.36158 | − | 1.23946i | ||||
\(951\) | 0.477680 | + | 0.159473i | 0.0154898 | + | 0.00517127i | ||||
\(952\) | −2.41290 | + | 11.8192i | −0.0782025 | + | 0.383061i | ||||
\(953\) | −5.62101 | + | 19.4060i | −0.182082 | + | 0.628621i | 0.816595 | + | 0.577211i | \(0.195859\pi\) |
−0.998678 | + | 0.0514104i | \(0.983628\pi\) | |||||||
\(954\) | 1.68698 | + | 13.8936i | 0.0546181 | + | 0.449820i | ||||
\(955\) | 26.8221 | − | 8.95452i | 0.867941 | − | 0.289761i | ||||
\(956\) | 2.09837 | + | 0.341018i | 0.0678660 | + | 0.0110293i | ||||
\(957\) | −2.73400 | + | 1.43491i | −0.0883776 | + | 0.0463842i | ||||
\(958\) | −29.9471 | + | 18.9374i | −0.967547 | + | 0.611840i | ||||
\(959\) | 35.1050 | − | 14.9569i | 1.13360 | − | 0.482982i | ||||
\(960\) | −1.85915 | + | 9.10672i | −0.0600038 | + | 0.293918i | ||||
\(961\) | 16.7205 | + | 4.12124i | 0.539372 | + | 0.132943i | ||||
\(962\) | −12.0738 | − | 3.92437i | −0.389274 | − | 0.126527i | ||||
\(963\) | −10.5372 | + | 2.59718i | −0.339555 | + | 0.0836928i | ||||
\(964\) | 0.903784 | + | 22.4272i | 0.0291089 | + | 0.722330i | ||||
\(965\) | 2.00284 | + | 49.7000i | 0.0644738 | + | 1.59990i | ||||
\(966\) | 3.76911 | + | 4.61633i | 0.121269 | + | 0.148528i | ||||
\(967\) | −16.3423 | + | 43.0911i | −0.525532 | + | 1.38571i | 0.365091 | + | 0.930972i | \(0.381038\pi\) |
−0.890623 | + | 0.454743i | \(0.849731\pi\) | |||||||
\(968\) | −8.52497 | − | 17.9660i | −0.274003 | − | 0.577449i | ||||
\(969\) | −4.60940 | + | 15.9135i | −0.148075 | + | 0.511215i | ||||
\(970\) | −3.28954 | + | 4.76572i | −0.105621 | + | 0.153018i | ||||
\(971\) | 37.3576 | + | 15.9166i | 1.19886 | + | 0.510787i | 0.896772 | − | 0.442493i | \(-0.145906\pi\) |
0.302089 | + | 0.953280i | \(0.402316\pi\) | |||||||
\(972\) | −0.783635 | + | 0.127353i | −0.0251351 | + | 0.00408485i | ||||
\(973\) | −43.3882 | − | 27.4370i | −1.39096 | − | 0.879591i | ||||
\(974\) | 33.5341 | + | 48.5825i | 1.07450 | + | 1.55668i | ||||
\(975\) | 19.0468 | − | 10.1905i | 0.609986 | − | 0.326359i | ||||
\(976\) | −24.3105 | + | 35.2199i | −0.778161 | + | 1.12736i | ||||
\(977\) | 8.99495 | − | 3.83239i | 0.287774 | − | 0.122609i | −0.243256 | − | 0.969962i | \(-0.578215\pi\) |
0.531030 | + | 0.847353i | \(0.321805\pi\) | |||||||
\(978\) | 0.895092 | + | 3.09021i | 0.0286219 | + | 0.0988142i | ||||
\(979\) | −18.2428 | + | 1.47271i | −0.583044 | + | 0.0470682i | ||||
\(980\) | 3.52592 | − | 3.12370i | 0.112632 | − | 0.0997828i | ||||
\(981\) | −6.49716 | + | 4.10855i | −0.207438 | + | 0.131176i | ||||
\(982\) | 35.1308 | + | 14.9678i | 1.12107 | + | 0.477643i | ||||
\(983\) | 1.07036 | − | 8.81524i | 0.0341393 | − | 0.281163i | −0.965635 | − | 0.259903i | \(-0.916309\pi\) |
0.999774 | − | 0.0212594i | \(-0.00676758\pi\) | |||||||
\(984\) | −0.729997 | − | 3.57576i | −0.0232715 | − | 0.113991i | ||||
\(985\) | −75.0350 | − | 6.05745i | −2.39081 | − | 0.193006i | ||||
\(986\) | −7.81373 | + | 5.87164i | −0.248840 | + | 0.186991i | ||||
\(987\) | 2.41195 | − | 19.8642i | 0.0767733 | − | 0.632285i | ||||
\(988\) | 22.7694 | − | 5.80461i | 0.724391 | − | 0.184669i | ||||
\(989\) | −1.16462 | − | 9.59148i | −0.0370326 | − | 0.304991i | ||||
\(990\) | 4.09108 | + | 4.25927i | 0.130023 | + | 0.135368i | ||||
\(991\) | 15.6360 | + | 27.0823i | 0.496694 | + | 0.860299i | 0.999993 | − | 0.00381360i | \(-0.00121391\pi\) |
−0.503299 | + | 0.864112i | \(0.667881\pi\) | |||||||
\(992\) | −7.89652 | + | 13.6772i | −0.250715 | + | 0.434250i | ||||
\(993\) | −21.8277 | + | 5.38005i | −0.692682 | + | 0.170731i | ||||
\(994\) | −35.1625 | − | 43.0663i | −1.11529 | − | 1.36598i | ||||
\(995\) | 39.0198 | − | 67.5843i | 1.23701 | − | 2.14257i | ||||
\(996\) | 1.08850 | + | 2.87015i | 0.0344906 | + | 0.0909442i | ||||
\(997\) | 1.60292 | − | 1.66882i | 0.0507650 | − | 0.0528520i | −0.695336 | − | 0.718685i | \(-0.744744\pi\) |
0.746101 | + | 0.665833i | \(0.231924\pi\) | |||||||
\(998\) | −48.2679 | − | 16.1142i | −1.52789 | − | 0.510086i | ||||
\(999\) | 0.586080 | + | 2.02338i | 0.0185427 | + | 0.0640170i |
(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 | 507.2.q.a.16.12 | ✓ | 360 | |
169.74 | even | 39 | inner | 507.2.q.a.412.12 | yes | 360 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
507.2.q.a.16.12 | ✓ | 360 | 1.1 | even | 1 | trivial | |
507.2.q.a.412.12 | yes | 360 | 169.74 | even | 39 | inner |