Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [525,2,Mod(16,525)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(525, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 6, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("525.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 525 = 3 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 525.bg (of order \(15\), degree \(8\), 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: | \(4.19214610612\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 16.7 | ||
Character | \(\chi\) | \(=\) | 525.16 |
Dual form | 525.2.bg.b.361.7 |
$q$-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 \(\left(\mathbb{Z}/525\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(176\) | \(451\) |
\(\chi(n)\) | \(e\left(\frac{1}{5}\right)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.989117 | + | 0.440383i | −0.699411 | + | 0.311398i | −0.725462 | − | 0.688263i | \(-0.758374\pi\) |
0.0260503 | + | 0.999661i | \(0.491707\pi\) | |||||||
\(3\) | 0.669131 | − | 0.743145i | 0.386323 | − | 0.429055i | ||||
\(4\) | −0.553846 | + | 0.615109i | −0.276923 | + | 0.307554i | ||||
\(5\) | −0.228741 | − | 2.22434i | −0.102296 | − | 0.994754i | ||||
\(6\) | −0.334580 | + | 1.02973i | −0.136592 | + | 0.420386i | ||||
\(7\) | −1.49334 | + | 2.18402i | −0.564428 | + | 0.825482i | ||||
\(8\) | 0.946095 | − | 2.91178i | 0.334495 | − | 1.02947i | ||||
\(9\) | −0.104528 | − | 0.994522i | −0.0348428 | − | 0.331507i | ||||
\(10\) | 1.20581 | + | 2.09940i | 0.381311 | + | 0.663887i | ||||
\(11\) | −0.0139598 | + | 0.132819i | −0.00420905 | + | 0.0400464i | −0.996425 | − | 0.0844841i | \(-0.973076\pi\) |
0.992216 | + | 0.124530i | \(0.0397425\pi\) | |||||||
\(12\) | 0.0865193 | + | 0.823176i | 0.0249760 | + | 0.237630i | ||||
\(13\) | −0.782464 | + | 0.568494i | −0.217017 | + | 0.157672i | −0.690983 | − | 0.722871i | \(-0.742822\pi\) |
0.473966 | + | 0.880543i | \(0.342822\pi\) | |||||||
\(14\) | 0.515280 | − | 2.81789i | 0.137714 | − | 0.753113i | ||||
\(15\) | −1.80606 | − | 1.31838i | −0.466323 | − | 0.340406i | ||||
\(16\) | 0.173462 | + | 1.65038i | 0.0433656 | + | 0.412596i | ||||
\(17\) | −0.317496 | + | 0.0674859i | −0.0770042 | + | 0.0163677i | −0.246253 | − | 0.969206i | \(-0.579199\pi\) |
0.169248 | + | 0.985573i | \(0.445866\pi\) | |||||||
\(18\) | 0.541362 | + | 0.937666i | 0.127600 | + | 0.221010i | ||||
\(19\) | −4.68357 | − | 5.20163i | −1.07448 | − | 1.19334i | −0.980245 | − | 0.197787i | \(-0.936625\pi\) |
−0.0942398 | − | 0.995550i | \(-0.530042\pi\) | |||||||
\(20\) | 1.49490 | + | 1.09124i | 0.334269 | + | 0.244009i | ||||
\(21\) | 0.623805 | + | 2.57116i | 0.136126 | + | 0.561073i | ||||
\(22\) | −0.0446833 | − | 0.137521i | −0.00952651 | − | 0.0293196i | ||||
\(23\) | −4.31304 | + | 1.92029i | −0.899331 | + | 0.400408i | −0.803718 | − | 0.595011i | \(-0.797148\pi\) |
−0.0956131 | + | 0.995419i | \(0.530481\pi\) | |||||||
\(24\) | −1.53081 | − | 2.65145i | −0.312476 | − | 0.541224i | ||||
\(25\) | −4.89536 | + | 1.01759i | −0.979071 | + | 0.203519i | ||||
\(26\) | 0.523594 | − | 0.906891i | 0.102685 | − | 0.177856i | ||||
\(27\) | −0.809017 | − | 0.587785i | −0.155695 | − | 0.113119i | ||||
\(28\) | −0.516330 | − | 2.12818i | −0.0975772 | − | 0.402187i | ||||
\(29\) | −1.88261 | − | 5.79409i | −0.349593 | − | 1.07594i | −0.959079 | − | 0.283139i | \(-0.908624\pi\) |
0.609486 | − | 0.792797i | \(-0.291376\pi\) | |||||||
\(30\) | 2.36700 | + | 0.508677i | 0.432153 | + | 0.0928713i | ||||
\(31\) | −3.08910 | + | 0.656608i | −0.554819 | + | 0.117930i | −0.476784 | − | 0.879020i | \(-0.658198\pi\) |
−0.0780344 | + | 0.996951i | \(0.524864\pi\) | |||||||
\(32\) | 2.16325 | + | 3.74686i | 0.382412 | + | 0.662358i | ||||
\(33\) | 0.0893627 | + | 0.0992474i | 0.0155561 | + | 0.0172767i | ||||
\(34\) | 0.284321 | − | 0.206572i | 0.0487607 | − | 0.0354267i | ||||
\(35\) | 5.19958 | + | 2.82211i | 0.878890 | + | 0.477024i | ||||
\(36\) | 0.669632 | + | 0.486516i | 0.111605 | + | 0.0810860i | ||||
\(37\) | −0.224302 | − | 2.13409i | −0.0368750 | − | 0.350842i | −0.997366 | − | 0.0725315i | \(-0.976892\pi\) |
0.960491 | − | 0.278311i | \(-0.0897744\pi\) | |||||||
\(38\) | 6.92331 | + | 3.08246i | 1.12311 | + | 0.500041i | ||||
\(39\) | −0.101098 | + | 0.961881i | −0.0161886 | + | 0.154024i | ||||
\(40\) | −6.69319 | − | 1.43839i | −1.05829 | − | 0.227430i | ||||
\(41\) | −2.43780 | + | 1.77117i | −0.380721 | + | 0.276610i | −0.761643 | − | 0.647997i | \(-0.775607\pi\) |
0.380922 | + | 0.924607i | \(0.375607\pi\) | |||||||
\(42\) | −1.74931 | − | 2.26847i | −0.269925 | − | 0.350032i | ||||
\(43\) | −9.40039 | −1.43355 | −0.716773 | − | 0.697307i | \(-0.754382\pi\) | ||||
−0.716773 | + | 0.697307i | \(0.754382\pi\) | |||||||
\(44\) | −0.0739664 | − | 0.0821481i | −0.0111509 | − | 0.0123843i | ||||
\(45\) | −2.18824 | + | 0.459994i | −0.326204 | + | 0.0685719i | ||||
\(46\) | 3.42044 | − | 3.79878i | 0.504316 | − | 0.560100i | ||||
\(47\) | 0.260784 | + | 0.0554314i | 0.0380393 | + | 0.00808550i | 0.226892 | − | 0.973920i | \(-0.427144\pi\) |
−0.188853 | + | 0.982005i | \(0.560477\pi\) | |||||||
\(48\) | 1.34254 | + | 0.975415i | 0.193779 | + | 0.140789i | ||||
\(49\) | −2.53989 | − | 6.52296i | −0.362841 | − | 0.931851i | ||||
\(50\) | 4.39395 | − | 3.16235i | 0.621398 | − | 0.447224i | ||||
\(51\) | −0.162295 | + | 0.281103i | −0.0227258 | + | 0.0393622i | ||||
\(52\) | 0.0836796 | − | 0.796158i | 0.0116043 | − | 0.110407i | ||||
\(53\) | 1.88326 | − | 2.09158i | 0.258686 | − | 0.287300i | −0.599786 | − | 0.800161i | \(-0.704748\pi\) |
0.858472 | + | 0.512861i | \(0.171414\pi\) | |||||||
\(54\) | 1.05906 | + | 0.225111i | 0.144120 | + | 0.0306337i | ||||
\(55\) | 0.298627 | 0.000670275i | 0.0402669 | 9.03799e-5i | ||||||
\(56\) | 4.94655 | + | 6.41456i | 0.661010 | + | 0.857182i | ||||
\(57\) | −6.99949 | −0.927105 | ||||||||
\(58\) | 4.41375 | + | 4.90196i | 0.579553 | + | 0.643659i | ||||
\(59\) | 1.72782 | + | 0.769277i | 0.224944 | + | 0.100151i | 0.516114 | − | 0.856520i | \(-0.327378\pi\) |
−0.291171 | + | 0.956671i | \(0.594045\pi\) | |||||||
\(60\) | 1.81123 | − | 0.380742i | 0.233829 | − | 0.0491536i | ||||
\(61\) | 11.5730 | − | 5.15262i | 1.48177 | − | 0.659726i | 0.502924 | − | 0.864331i | \(-0.332258\pi\) |
0.978845 | + | 0.204605i | \(0.0655909\pi\) | |||||||
\(62\) | 2.76632 | − | 2.00985i | 0.351323 | − | 0.255251i | ||||
\(63\) | 2.32815 | + | 1.25686i | 0.293320 | + | 0.158350i | ||||
\(64\) | −6.47485 | − | 4.70425i | −0.809356 | − | 0.588032i | ||||
\(65\) | 1.44350 | + | 1.61043i | 0.179045 | + | 0.199749i | ||||
\(66\) | −0.132097 | − | 0.0588134i | −0.0162600 | − | 0.00723943i | ||||
\(67\) | −10.1762 | + | 2.16302i | −1.24322 | + | 0.264255i | −0.782140 | − | 0.623103i | \(-0.785872\pi\) |
−0.461082 | + | 0.887358i | \(0.652539\pi\) | |||||||
\(68\) | 0.134333 | − | 0.232672i | 0.0162903 | − | 0.0282156i | ||||
\(69\) | −1.45893 | + | 4.49014i | −0.175635 | + | 0.540549i | ||||
\(70\) | −6.38581 | − | 0.501589i | −0.763250 | − | 0.0599513i | ||||
\(71\) | −3.41413 | − | 10.5076i | −0.405183 | − | 1.24702i | −0.920743 | − | 0.390171i | \(-0.872416\pi\) |
0.515560 | − | 0.856854i | \(-0.327584\pi\) | |||||||
\(72\) | −2.99472 | − | 0.636548i | −0.352932 | − | 0.0750179i | ||||
\(73\) | −0.882727 | + | 8.39858i | −0.103315 | + | 0.982980i | 0.812930 | + | 0.582362i | \(0.197871\pi\) |
−0.916245 | + | 0.400618i | \(0.868795\pi\) | |||||||
\(74\) | 1.16168 | + | 2.01208i | 0.135042 | + | 0.233900i | ||||
\(75\) | −2.51941 | + | 4.31886i | −0.290917 | + | 0.498699i | ||||
\(76\) | 5.79355 | 0.664565 | ||||||||
\(77\) | −0.269232 | − | 0.228832i | −0.0306819 | − | 0.0260778i | ||||
\(78\) | −0.323599 | − | 0.995934i | −0.0366403 | − | 0.112767i | ||||
\(79\) | −2.51764 | − | 0.535140i | −0.283256 | − | 0.0602080i | 0.0640926 | − | 0.997944i | \(-0.479585\pi\) |
−0.347349 | + | 0.937736i | \(0.612918\pi\) | |||||||
\(80\) | 3.63133 | − | 0.763349i | 0.405996 | − | 0.0853450i | ||||
\(81\) | −0.978148 | + | 0.207912i | −0.108683 | + | 0.0231013i | ||||
\(82\) | 1.63128 | − | 2.82546i | 0.180145 | − | 0.312020i | ||||
\(83\) | 1.57693 | − | 4.85330i | 0.173091 | − | 0.532719i | −0.826450 | − | 0.563010i | \(-0.809643\pi\) |
0.999541 | + | 0.0302910i | \(0.00964340\pi\) | |||||||
\(84\) | −1.92704 | − | 1.04032i | −0.210257 | − | 0.113508i | ||||
\(85\) | 0.222736 | + | 0.690782i | 0.0241591 | + | 0.0749259i | ||||
\(86\) | 9.29808 | − | 4.13977i | 1.00264 | − | 0.446403i | ||||
\(87\) | −5.56556 | − | 2.47795i | −0.596691 | − | 0.265664i | ||||
\(88\) | 0.373532 | + | 0.166307i | 0.0398187 | + | 0.0177284i | ||||
\(89\) | 11.3077 | − | 5.03453i | 1.19862 | − | 0.533659i | 0.292328 | − | 0.956318i | \(-0.405570\pi\) |
0.906289 | + | 0.422659i | \(0.138903\pi\) | |||||||
\(90\) | 1.96185 | − | 1.41865i | 0.206798 | − | 0.149539i | ||||
\(91\) | −0.0731182 | − | 2.55787i | −0.00766487 | − | 0.268138i | ||||
\(92\) | 1.20757 | − | 3.71653i | 0.125898 | − | 0.387475i | ||||
\(93\) | −1.57906 | + | 2.73501i | −0.163740 | + | 0.283607i | ||||
\(94\) | −0.282357 | + | 0.0600169i | −0.0291229 | + | 0.00619027i | ||||
\(95\) | −10.4989 | + | 11.6077i | −1.07716 | + | 1.19092i | ||||
\(96\) | 4.23196 | + | 0.899531i | 0.431922 | + | 0.0918080i | ||||
\(97\) | 5.05559 | + | 15.5595i | 0.513317 | + | 1.57983i | 0.786323 | + | 0.617815i | \(0.211982\pi\) |
−0.273006 | + | 0.962012i | \(0.588018\pi\) | |||||||
\(98\) | 5.38485 | + | 5.33344i | 0.543952 | + | 0.538759i | ||||
\(99\) | 0.133550 | 0.0134223 | ||||||||
\(100\) | 2.08534 | − | 3.57477i | 0.208534 | − | 0.357477i | ||||
\(101\) | 0.00112753 | + | 0.00195294i | 0.000112193 | + | 0.000194324i | 0.866081 | − | 0.499903i | \(-0.166631\pi\) |
−0.865969 | + | 0.500097i | \(0.833298\pi\) | |||||||
\(102\) | 0.0367355 | − | 0.349515i | 0.00363736 | − | 0.0346072i | ||||
\(103\) | 5.71352 | + | 1.21445i | 0.562970 | + | 0.119663i | 0.480601 | − | 0.876939i | \(-0.340418\pi\) |
0.0823680 | + | 0.996602i | \(0.473752\pi\) | |||||||
\(104\) | 0.915043 | + | 2.81621i | 0.0897274 | + | 0.276152i | ||||
\(105\) | 5.57644 | − | 1.97568i | 0.544205 | − | 0.192807i | ||||
\(106\) | −0.941673 | + | 2.89817i | −0.0914634 | + | 0.281495i | ||||
\(107\) | 6.95554 | − | 12.0473i | 0.672417 | − | 1.16466i | −0.304799 | − | 0.952417i | \(-0.598589\pi\) |
0.977217 | − | 0.212244i | \(-0.0680772\pi\) | |||||||
\(108\) | 0.809623 | − | 0.172091i | 0.0779060 | − | 0.0165594i | ||||
\(109\) | −0.429108 | − | 0.191051i | −0.0411011 | − | 0.0182994i | 0.386083 | − | 0.922464i | \(-0.373828\pi\) |
−0.427184 | + | 0.904165i | \(0.640494\pi\) | |||||||
\(110\) | −0.295672 | + | 0.130847i | −0.0281913 | + | 0.0124758i | ||||
\(111\) | −1.73602 | − | 1.26130i | −0.164776 | − | 0.119717i | ||||
\(112\) | −3.86351 | − | 2.08574i | −0.365067 | − | 0.197083i | ||||
\(113\) | −12.9711 | + | 9.42403i | −1.22021 | + | 0.886538i | −0.996118 | − | 0.0880288i | \(-0.971943\pi\) |
−0.224097 | + | 0.974567i | \(0.571943\pi\) | |||||||
\(114\) | 6.92331 | − | 3.08246i | 0.648428 | − | 0.288699i | ||||
\(115\) | 5.25794 | + | 9.15441i | 0.490305 | + | 0.853653i | ||||
\(116\) | 4.60667 | + | 2.05102i | 0.427719 | + | 0.190433i | ||||
\(117\) | 0.647169 | + | 0.718754i | 0.0598308 | + | 0.0664488i | ||||
\(118\) | −2.04780 | −0.188515 | ||||||||
\(119\) | 0.326739 | − | 0.794198i | 0.0299521 | − | 0.0728040i | ||||
\(120\) | −5.54755 | + | 4.01154i | −0.506420 | + | 0.366202i | ||||
\(121\) | 10.7422 | + | 2.28332i | 0.976562 | + | 0.207575i | ||||
\(122\) | −9.17790 | + | 10.1931i | −0.830928 | + | 0.922840i | ||||
\(123\) | −0.314975 | + | 2.99678i | −0.0284003 | + | 0.270211i | ||||
\(124\) | 1.30700 | − | 2.26379i | 0.117372 | − | 0.203295i | ||||
\(125\) | 3.38324 | + | 10.6562i | 0.302606 | + | 0.953116i | ||||
\(126\) | −2.85632 | − | 0.217907i | −0.254461 | − | 0.0194127i | ||||
\(127\) | 3.10156 | + | 2.25341i | 0.275219 | + | 0.199958i | 0.716829 | − | 0.697249i | \(-0.245593\pi\) |
−0.441610 | + | 0.897207i | \(0.645593\pi\) | |||||||
\(128\) | 0.0121429 | + | 0.00258104i | 0.00107329 | + | 0.000228134i | ||||
\(129\) | −6.29009 | + | 6.98585i | −0.553811 | + | 0.615070i | ||||
\(130\) | −2.13700 | − | 0.957206i | −0.187427 | − | 0.0839525i | ||||
\(131\) | 7.04757 | + | 7.82712i | 0.615749 | + | 0.683859i | 0.967684 | − | 0.252166i | \(-0.0811428\pi\) |
−0.351935 | + | 0.936024i | \(0.614476\pi\) | |||||||
\(132\) | −0.110541 | −0.00962137 | ||||||||
\(133\) | 18.3546 | − | 2.46122i | 1.59155 | − | 0.213415i | ||||
\(134\) | 9.11290 | − | 6.62091i | 0.787235 | − | 0.571960i | ||||
\(135\) | −1.12238 | + | 1.93398i | −0.0965989 | + | 0.166450i | ||||
\(136\) | −0.103877 | + | 0.988328i | −0.00890742 | + | 0.0847484i | ||||
\(137\) | 4.93312 | + | 2.19637i | 0.421465 | + | 0.187648i | 0.606500 | − | 0.795084i | \(-0.292573\pi\) |
−0.185035 | + | 0.982732i | \(0.559240\pi\) | |||||||
\(138\) | −0.534325 | − | 5.08376i | −0.0454847 | − | 0.432758i | ||||
\(139\) | 3.14421 | + | 2.28441i | 0.266689 | + | 0.193761i | 0.713091 | − | 0.701072i | \(-0.247295\pi\) |
−0.446402 | + | 0.894833i | \(0.647295\pi\) | |||||||
\(140\) | −4.61568 | + | 1.63529i | −0.390096 | + | 0.138207i | ||||
\(141\) | 0.215692 | − | 0.156710i | 0.0181646 | − | 0.0131973i | ||||
\(142\) | 8.00435 | + | 8.88973i | 0.671710 | + | 0.746010i | ||||
\(143\) | −0.0645836 | − | 0.111862i | −0.00540075 | − | 0.00935438i | ||||
\(144\) | 1.62321 | − | 0.345024i | 0.135268 | − | 0.0287520i | ||||
\(145\) | −12.4574 | + | 5.51291i | −1.03453 | + | 0.457823i | ||||
\(146\) | −2.82548 | − | 8.69592i | −0.233838 | − | 0.719679i | ||||
\(147\) | −6.54702 | − | 2.47721i | −0.539989 | − | 0.204317i | ||||
\(148\) | 1.43693 | + | 1.04399i | 0.118115 | + | 0.0858152i | ||||
\(149\) | 7.86402 | − | 13.6209i | 0.644245 | − | 1.11587i | −0.340230 | − | 0.940342i | \(-0.610505\pi\) |
0.984475 | − | 0.175524i | \(-0.0561618\pi\) | |||||||
\(150\) | 0.590040 | − | 5.38137i | 0.0481766 | − | 0.439387i | ||||
\(151\) | 5.09555 | + | 8.82576i | 0.414670 | + | 0.718230i | 0.995394 | − | 0.0958709i | \(-0.0305636\pi\) |
−0.580724 | + | 0.814101i | \(0.697230\pi\) | |||||||
\(152\) | −19.5771 | + | 8.71629i | −1.58791 | + | 0.706985i | ||||
\(153\) | 0.100304 | + | 0.308703i | 0.00810907 | + | 0.0249571i | ||||
\(154\) | 0.367076 | + | 0.107776i | 0.0295798 | + | 0.00868485i | ||||
\(155\) | 2.16712 | + | 6.72101i | 0.174067 | + | 0.539844i | ||||
\(156\) | −0.535668 | − | 0.594920i | −0.0428878 | − | 0.0476317i | ||||
\(157\) | −2.78530 | − | 4.82429i | −0.222291 | − | 0.385020i | 0.733212 | − | 0.680000i | \(-0.238020\pi\) |
−0.955503 | + | 0.294980i | \(0.904687\pi\) | |||||||
\(158\) | 2.72590 | − | 0.579409i | 0.216861 | − | 0.0460953i | ||||
\(159\) | −0.294195 | − | 2.79908i | −0.0233312 | − | 0.221981i | ||||
\(160\) | 7.83946 | − | 5.66886i | 0.619764 | − | 0.448163i | ||||
\(161\) | 2.24687 | − | 12.2874i | 0.177078 | − | 0.968383i | ||||
\(162\) | 0.875942 | − | 0.636409i | 0.0688205 | − | 0.0500010i | ||||
\(163\) | 2.18984 | + | 20.8349i | 0.171521 | + | 1.63192i | 0.654343 | + | 0.756198i | \(0.272945\pi\) |
−0.482821 | + | 0.875719i | \(0.660388\pi\) | |||||||
\(164\) | 0.260708 | − | 2.48047i | 0.0203579 | − | 0.193692i | ||||
\(165\) | 0.200319 | − | 0.221475i | 0.0155948 | − | 0.0172418i | ||||
\(166\) | 0.577541 | + | 5.49493i | 0.0448259 | + | 0.426490i | ||||
\(167\) | −2.33091 | + | 7.17381i | −0.180371 | + | 0.555126i | −0.999838 | − | 0.0180007i | \(-0.994270\pi\) |
0.819466 | + | 0.573127i | \(0.194270\pi\) | |||||||
\(168\) | 8.07684 | + | 0.616177i | 0.623141 | + | 0.0475391i | ||||
\(169\) | −3.72816 | + | 11.4741i | −0.286781 | + | 0.882622i | ||||
\(170\) | −0.524521 | − | 0.585175i | −0.0402289 | − | 0.0448809i | ||||
\(171\) | −4.68357 | + | 5.20163i | −0.358162 | + | 0.397779i | ||||
\(172\) | 5.20637 | − | 5.78226i | 0.396982 | − | 0.440893i | ||||
\(173\) | 2.81513 | − | 1.25338i | 0.214030 | − | 0.0952925i | −0.296921 | − | 0.954902i | \(-0.595960\pi\) |
0.510952 | + | 0.859610i | \(0.329293\pi\) | |||||||
\(174\) | 6.59624 | 0.500060 | ||||||||
\(175\) | 5.08797 | − | 12.2112i | 0.384615 | − | 0.923077i | ||||
\(176\) | −0.221624 | −0.0167055 | ||||||||
\(177\) | 1.72782 | − | 0.769277i | 0.129871 | − | 0.0578224i | ||||
\(178\) | −8.96755 | + | 9.95947i | −0.672146 | + | 0.746494i | ||||
\(179\) | 2.98406 | − | 3.31414i | 0.223039 | − | 0.247710i | −0.621231 | − | 0.783627i | \(-0.713367\pi\) |
0.844271 | + | 0.535917i | \(0.180034\pi\) | |||||||
\(180\) | 0.929003 | − | 1.60077i | 0.0692438 | − | 0.119315i | ||||
\(181\) | 4.76232 | − | 14.6569i | 0.353981 | − | 1.08944i | −0.602617 | − | 0.798030i | \(-0.705875\pi\) |
0.956598 | − | 0.291410i | \(-0.0941245\pi\) | |||||||
\(182\) | 1.19877 | + | 2.49783i | 0.0888584 | + | 0.185152i | ||||
\(183\) | 3.91469 | − | 12.0482i | 0.289382 | − | 0.890627i | ||||
\(184\) | 1.51092 | + | 14.3754i | 0.111386 | + | 1.05977i | ||||
\(185\) | −4.69563 | + | 0.987076i | −0.345229 | + | 0.0725713i | ||||
\(186\) | 0.357421 | − | 3.40063i | 0.0262074 | − | 0.249346i | ||||
\(187\) | −0.00453121 | − | 0.0431116i | −0.000331355 | − | 0.00315263i | ||||
\(188\) | −0.178531 | + | 0.129710i | −0.0130207 | + | 0.00946009i | ||||
\(189\) | 2.49187 | − | 0.889148i | 0.181257 | − | 0.0646760i | ||||
\(190\) | 5.27278 | − | 16.1049i | 0.382528 | − | 1.16837i | ||||
\(191\) | −0.456728 | − | 4.34547i | −0.0330477 | − | 0.314427i | −0.998541 | − | 0.0539996i | \(-0.982803\pi\) |
0.965493 | − | 0.260428i | \(-0.0838636\pi\) | |||||||
\(192\) | −7.82846 | + | 1.66399i | −0.564971 | + | 0.120088i | ||||
\(193\) | −6.18289 | − | 10.7091i | −0.445054 | − | 0.770857i | 0.553002 | − | 0.833180i | \(-0.313482\pi\) |
−0.998056 | + | 0.0623235i | \(0.980149\pi\) | |||||||
\(194\) | −11.8527 | − | 13.1638i | −0.850975 | − | 0.945103i | ||||
\(195\) | 2.16267 | + | 0.00485417i | 0.154872 | + | 0.000347614i | ||||
\(196\) | 5.41903 | + | 2.05041i | 0.387074 | + | 0.146458i | ||||
\(197\) | −8.39957 | − | 25.8512i | −0.598444 | − | 1.84182i | −0.536774 | − | 0.843726i | \(-0.680357\pi\) |
−0.0616707 | − | 0.998097i | \(-0.519643\pi\) | |||||||
\(198\) | −0.132097 | + | 0.0588134i | −0.00938773 | + | 0.00417969i | ||||
\(199\) | −11.3124 | − | 19.5937i | −0.801916 | − | 1.38896i | −0.918354 | − | 0.395761i | \(-0.870481\pi\) |
0.116438 | − | 0.993198i | \(-0.462852\pi\) | |||||||
\(200\) | −1.66846 | + | 15.2169i | −0.117978 | + | 1.07600i | ||||
\(201\) | −5.20178 | + | 9.00974i | −0.366905 | + | 0.635498i | ||||
\(202\) | −0.00197530 | − | 0.00143514i | −0.000138981 | − | 0.000100976i | ||||
\(203\) | 15.4658 | + | 4.54087i | 1.08549 | + | 0.318706i | ||||
\(204\) | −0.0830224 | − | 0.255517i | −0.00581273 | − | 0.0178897i | ||||
\(205\) | 4.49730 | + | 5.01736i | 0.314105 | + | 0.350428i | ||||
\(206\) | −6.18616 | + | 1.31491i | −0.431010 | + | 0.0916140i | ||||
\(207\) | 2.36060 | + | 4.08869i | 0.164073 | + | 0.284183i | ||||
\(208\) | −1.07396 | − | 1.19275i | −0.0744658 | − | 0.0827026i | ||||
\(209\) | 0.756257 | − | 0.549453i | 0.0523114 | − | 0.0380064i | ||||
\(210\) | −4.64569 | + | 4.40995i | −0.320583 | + | 0.304316i | ||||
\(211\) | 0.110585 | + | 0.0803450i | 0.00761301 | + | 0.00553118i | 0.591585 | − | 0.806242i | \(-0.298502\pi\) |
−0.583972 | + | 0.811774i | \(0.698502\pi\) | |||||||
\(212\) | 0.243508 | + | 2.31682i | 0.0167242 | + | 0.159120i | ||||
\(213\) | −10.0932 | − | 4.49377i | −0.691573 | − | 0.307908i | ||||
\(214\) | −1.57439 | + | 14.9793i | −0.107623 | + | 1.02397i | ||||
\(215\) | 2.15025 | + | 20.9096i | 0.146646 | + | 1.42603i | ||||
\(216\) | −2.47691 | + | 1.79958i | −0.168532 | + | 0.122446i | ||||
\(217\) | 3.17902 | − | 7.72719i | 0.215806 | − | 0.524556i | ||||
\(218\) | 0.508573 | 0.0344449 | ||||||||
\(219\) | 5.65070 | + | 6.27574i | 0.381839 | + | 0.424075i | ||||
\(220\) | −0.165806 | + | 0.183317i | −0.0111786 | + | 0.0123592i | ||||
\(221\) | 0.210064 | − | 0.233300i | 0.0141304 | − | 0.0156935i | ||||
\(222\) | 2.27258 | + | 0.483053i | 0.152526 | + | 0.0324204i | ||||
\(223\) | 2.57430 | + | 1.87034i | 0.172388 | + | 0.125247i | 0.670634 | − | 0.741789i | \(-0.266022\pi\) |
−0.498246 | + | 0.867036i | \(0.666022\pi\) | |||||||
\(224\) | −11.4137 | − | 0.870744i | −0.762609 | − | 0.0581790i | ||||
\(225\) | 1.52372 | + | 4.76217i | 0.101582 | + | 0.317478i | ||||
\(226\) | 8.67971 | − | 15.0337i | 0.577366 | − | 1.00003i | ||||
\(227\) | −1.87770 | + | 17.8651i | −0.124627 | + | 1.18575i | 0.736168 | + | 0.676799i | \(0.236633\pi\) |
−0.860795 | + | 0.508951i | \(0.830033\pi\) | |||||||
\(228\) | 3.87664 | − | 4.30544i | 0.256737 | − | 0.285135i | ||||
\(229\) | −20.9167 | − | 4.44599i | −1.38222 | − | 0.293799i | −0.543977 | − | 0.839100i | \(-0.683082\pi\) |
−0.838240 | + | 0.545301i | \(0.816415\pi\) | |||||||
\(230\) | −9.23216 | − | 6.73927i | −0.608751 | − | 0.444374i | ||||
\(231\) | −0.350207 | + | 0.0469602i | −0.0230419 | + | 0.00308975i | ||||
\(232\) | −18.6523 | −1.22458 | ||||||||
\(233\) | −7.98832 | − | 8.87193i | −0.523333 | − | 0.581220i | 0.422300 | − | 0.906456i | \(-0.361223\pi\) |
−0.945633 | + | 0.325236i | \(0.894556\pi\) | |||||||
\(234\) | −0.956653 | − | 0.425929i | −0.0625384 | − | 0.0278439i | ||||
\(235\) | 0.0636462 | − | 0.592752i | 0.00415182 | − | 0.0386669i | ||||
\(236\) | −1.43014 | + | 0.636739i | −0.0930941 | + | 0.0414482i | ||||
\(237\) | −2.08231 | + | 1.51289i | −0.135261 | + | 0.0982728i | ||||
\(238\) | 0.0265687 | + | 0.929445i | 0.00172219 | + | 0.0602469i | ||||
\(239\) | 6.89198 | + | 5.00731i | 0.445805 | + | 0.323896i | 0.787937 | − | 0.615756i | \(-0.211149\pi\) |
−0.342132 | + | 0.939652i | \(0.611149\pi\) | |||||||
\(240\) | 1.86256 | − | 3.20939i | 0.120228 | − | 0.207165i | ||||
\(241\) | −3.82609 | − | 1.70348i | −0.246460 | − | 0.109731i | 0.279789 | − | 0.960061i | \(-0.409735\pi\) |
−0.526249 | + | 0.850330i | \(0.676402\pi\) | |||||||
\(242\) | −11.6308 | + | 2.47220i | −0.747657 | + | 0.158919i | ||||
\(243\) | −0.500000 | + | 0.866025i | −0.0320750 | + | 0.0555556i | ||||
\(244\) | −3.24023 | + | 9.97240i | −0.207434 | + | 0.638418i | ||||
\(245\) | −13.9283 | + | 7.14163i | −0.889845 | + | 0.456262i | ||||
\(246\) | −1.00819 | − | 3.10288i | −0.0642796 | − | 0.197832i | ||||
\(247\) | 6.62182 | + | 1.40751i | 0.421336 | + | 0.0895578i | ||||
\(248\) | −1.01068 | + | 9.61600i | −0.0641784 | + | 0.610616i | ||||
\(249\) | −2.55153 | − | 4.41938i | −0.161697 | − | 0.280067i | ||||
\(250\) | −8.03921 | − | 9.05026i | −0.508444 | − | 0.572389i | ||||
\(251\) | −29.7219 | −1.87603 | −0.938013 | − | 0.346599i | \(-0.887337\pi\) | ||||
−0.938013 | + | 0.346599i | \(0.887337\pi\) | |||||||
\(252\) | −2.06255 | + | 0.735957i | −0.129928 | + | 0.0463609i | ||||
\(253\) | −0.194841 | − | 0.599660i | −0.0122496 | − | 0.0377003i | ||||
\(254\) | −4.06017 | − | 0.863016i | −0.254758 | − | 0.0541504i | ||||
\(255\) | 0.662391 | + | 0.296699i | 0.0414805 | + | 0.0185800i | ||||
\(256\) | 15.6438 | − | 3.32519i | 0.977736 | − | 0.207824i | ||||
\(257\) | 12.2561 | − | 21.2281i | 0.764513 | − | 1.32417i | −0.175991 | − | 0.984392i | \(-0.556313\pi\) |
0.940504 | − | 0.339783i | \(-0.110354\pi\) | |||||||
\(258\) | 3.14518 | − | 9.67987i | 0.195810 | − | 0.602642i | ||||
\(259\) | 4.99585 | + | 2.69704i | 0.310427 | + | 0.167586i | ||||
\(260\) | −1.79007 | − | 0.00401784i | −0.111015 | − | 0.000249176i | ||||
\(261\) | −5.56556 | + | 2.47795i | −0.344500 | + | 0.153381i | ||||
\(262\) | −10.4178 | − | 4.63831i | −0.643614 | − | 0.286556i | ||||
\(263\) | −18.6677 | − | 8.31142i | −1.15110 | − | 0.512504i | −0.259688 | − | 0.965693i | \(-0.583620\pi\) |
−0.891415 | + | 0.453189i | \(0.850286\pi\) | |||||||
\(264\) | 0.373532 | − | 0.166307i | 0.0229893 | − | 0.0102355i | ||||
\(265\) | −5.08315 | − | 3.71059i | −0.312255 | − | 0.227939i | ||||
\(266\) | −17.0710 | + | 10.5175i | −1.04669 | + | 0.644869i | ||||
\(267\) | 3.82497 | − | 11.7720i | 0.234084 | − | 0.720437i | ||||
\(268\) | 4.30556 | − | 7.45745i | 0.263004 | − | 0.455536i | ||||
\(269\) | 19.7472 | − | 4.19741i | 1.20401 | − | 0.255920i | 0.438135 | − | 0.898909i | \(-0.355639\pi\) |
0.765876 | + | 0.642989i | \(0.222306\pi\) | |||||||
\(270\) | 0.258472 | − | 2.40721i | 0.0157301 | − | 0.146498i | ||||
\(271\) | −22.3848 | − | 4.75803i | −1.35978 | − | 0.289030i | −0.530415 | − | 0.847738i | \(-0.677964\pi\) |
−0.829364 | + | 0.558708i | \(0.811297\pi\) | |||||||
\(272\) | −0.166451 | − | 0.512285i | −0.0100926 | − | 0.0310618i | ||||
\(273\) | −1.94979 | − | 1.65721i | −0.118007 | − | 0.100299i | ||||
\(274\) | −5.84668 | −0.353211 | ||||||||
\(275\) | −0.0668173 | − | 0.664401i | −0.00402923 | − | 0.0400649i | ||||
\(276\) | −1.95390 | − | 3.38425i | −0.117611 | − | 0.203708i | ||||
\(277\) | 1.07395 | − | 10.2180i | 0.0645276 | − | 0.613939i | −0.913698 | − | 0.406394i | \(-0.866786\pi\) |
0.978225 | − | 0.207545i | \(-0.0665473\pi\) | |||||||
\(278\) | −4.11601 | − | 0.874885i | −0.246862 | − | 0.0524721i | ||||
\(279\) | 0.975910 | + | 3.00354i | 0.0584262 | + | 0.179817i | ||||
\(280\) | 13.1367 | − | 12.4701i | 0.785066 | − | 0.745229i | ||||
\(281\) | 9.30857 | − | 28.6488i | 0.555303 | − | 1.70905i | −0.139839 | − | 0.990174i | \(-0.544659\pi\) |
0.695142 | − | 0.718872i | \(-0.255341\pi\) | |||||||
\(282\) | −0.144333 | + | 0.249991i | −0.00859488 | + | 0.0148868i | ||||
\(283\) | 17.1630 | − | 3.64811i | 1.02024 | − | 0.216858i | 0.332719 | − | 0.943026i | \(-0.392034\pi\) |
0.687517 | + | 0.726168i | \(0.258701\pi\) | |||||||
\(284\) | 8.35422 | + | 3.71954i | 0.495732 | + | 0.220714i | ||||
\(285\) | 1.60107 | + | 15.5692i | 0.0948391 | + | 0.922241i | ||||
\(286\) | 0.113143 | + | 0.0822032i | 0.00669028 | + | 0.00486077i | ||||
\(287\) | −0.227803 | − | 7.96916i | −0.0134468 | − | 0.470405i | ||||
\(288\) | 3.50021 | − | 2.54305i | 0.206252 | − | 0.149851i | ||||
\(289\) | −15.4340 | + | 6.87167i | −0.907884 | + | 0.404216i | ||||
\(290\) | 9.89401 | − | 10.9389i | 0.580997 | − | 0.642357i | ||||
\(291\) | 14.9458 | + | 6.65430i | 0.876139 | + | 0.390082i | ||||
\(292\) | −4.67715 | − | 5.19450i | −0.273709 | − | 0.303985i | ||||
\(293\) | −17.5291 | −1.02406 | −0.512030 | − | 0.858967i | \(-0.671106\pi\) | ||||
−0.512030 | + | 0.858967i | \(0.671106\pi\) | |||||||
\(294\) | 7.56669 | − | 0.432950i | 0.441298 | − | 0.0252502i | ||||
\(295\) | 1.31591 | − | 4.01923i | 0.0766151 | − | 0.234009i | ||||
\(296\) | −6.42621 | − | 1.36593i | −0.373516 | − | 0.0793933i | ||||
\(297\) | 0.0893627 | − | 0.0992474i | 0.00518535 | − | 0.00575892i | ||||
\(298\) | −1.78003 | + | 16.9358i | −0.103114 | + | 0.981066i | ||||
\(299\) | 2.28313 | − | 3.95449i | 0.132037 | − | 0.228694i | ||||
\(300\) | −1.26120 | − | 3.94170i | −0.0728155 | − | 0.227574i | ||||
\(301\) | 14.0379 | − | 20.5306i | 0.809134 | − | 1.18337i | ||||
\(302\) | −8.92681 | − | 6.48571i | −0.513680 | − | 0.373211i | ||||
\(303\) | 0.00220578 | 0.000468852i | 0.000126719 | 2.69349e-5i | ||||||
\(304\) | 7.77227 | − | 8.63198i | 0.445770 | − | 0.495078i | ||||
\(305\) | −14.1084 | − | 24.5636i | −0.807844 | − | 1.40651i | ||||
\(306\) | −0.235160 | − | 0.261171i | −0.0134432 | − | 0.0149302i | ||||
\(307\) | 12.1904 | 0.695741 | 0.347871 | − | 0.937543i | \(-0.386905\pi\) | ||||
0.347871 | + | 0.937543i | \(0.386905\pi\) | |||||||
\(308\) | 0.289870 | − | 0.0388694i | 0.0165169 | − | 0.00221479i | ||||
\(309\) | 4.72560 | − | 3.43335i | 0.268830 | − | 0.195316i | ||||
\(310\) | −5.10336 | − | 5.69350i | −0.289851 | − | 0.323369i | ||||
\(311\) | −1.42833 | + | 13.5897i | −0.0809934 | + | 0.770601i | 0.876355 | + | 0.481665i | \(0.159968\pi\) |
−0.957349 | + | 0.288935i | \(0.906699\pi\) | |||||||
\(312\) | 2.70514 | + | 1.20440i | 0.153148 | + | 0.0681860i | ||||
\(313\) | 1.52148 | + | 14.4759i | 0.0859991 | + | 0.818227i | 0.949476 | + | 0.313839i | \(0.101615\pi\) |
−0.863477 | + | 0.504388i | \(0.831718\pi\) | |||||||
\(314\) | 4.87953 | + | 3.54518i | 0.275368 | + | 0.200066i | ||||
\(315\) | 2.26315 | − | 5.46609i | 0.127514 | − | 0.307979i | ||||
\(316\) | 1.72355 | − | 1.25223i | 0.0969574 | − | 0.0704437i | ||||
\(317\) | −11.2513 | − | 12.4958i | −0.631933 | − | 0.701833i | 0.339107 | − | 0.940748i | \(-0.389875\pi\) |
−0.971041 | + | 0.238915i | \(0.923208\pi\) | |||||||
\(318\) | 1.52366 | + | 2.63905i | 0.0854425 | + | 0.147991i | ||||
\(319\) | 0.795846 | − | 0.169162i | 0.0445588 | − | 0.00947127i | ||||
\(320\) | −8.98279 | + | 15.4783i | −0.502153 | + | 0.865264i | ||||
\(321\) | −4.29876 | − | 13.2302i | −0.239933 | − | 0.738439i | ||||
\(322\) | 3.18875 | + | 13.1432i | 0.177702 | + | 0.732440i | ||||
\(323\) | 1.83805 | + | 1.33542i | 0.102272 | + | 0.0743050i | ||||
\(324\) | 0.413855 | − | 0.716818i | 0.0229920 | − | 0.0398232i | ||||
\(325\) | 3.25195 | − | 3.57921i | 0.180385 | − | 0.198539i | ||||
\(326\) | −11.3414 | − | 19.6438i | −0.628140 | − | 1.08797i | ||||
\(327\) | −0.429108 | + | 0.191051i | −0.0237297 | + | 0.0105651i | ||||
\(328\) | 2.85086 | + | 8.77405i | 0.157412 | + | 0.484466i | ||||
\(329\) | −0.510502 | + | 0.486780i | −0.0281449 | + | 0.0268371i | ||||
\(330\) | −0.100605 | + | 0.307281i | −0.00553812 | + | 0.0169153i | ||||
\(331\) | −17.7506 | − | 19.7140i | −0.975660 | − | 1.08358i | −0.996483 | − | 0.0837968i | \(-0.973295\pi\) |
0.0208230 | − | 0.999783i | \(-0.493371\pi\) | |||||||
\(332\) | 2.11193 | + | 3.65797i | 0.115907 | + | 0.200757i | ||||
\(333\) | −2.09895 | + | 0.446146i | −0.115022 | + | 0.0244487i | ||||
\(334\) | −0.853681 | − | 8.12224i | −0.0467114 | − | 0.444429i | ||||
\(335\) | 7.13900 | + | 22.1406i | 0.390045 | + | 1.20967i | ||||
\(336\) | −4.13520 | + | 1.47552i | −0.225593 | + | 0.0804961i | ||||
\(337\) | 27.8742 | − | 20.2518i | 1.51840 | − | 1.10318i | 0.556132 | − | 0.831094i | \(-0.312285\pi\) |
0.962272 | − | 0.272091i | \(-0.0877151\pi\) | |||||||
\(338\) | −1.36541 | − | 12.9910i | −0.0742686 | − | 0.706619i | ||||
\(339\) | −1.67592 | + | 15.9453i | −0.0910233 | + | 0.866029i | ||||
\(340\) | −0.548268 | − | 0.245580i | −0.0297340 | − | 0.0133185i | ||||
\(341\) | −0.0440867 | − | 0.419457i | −0.00238743 | − | 0.0227149i | ||||
\(342\) | 2.34189 | − | 7.20759i | 0.126635 | − | 0.389742i | ||||
\(343\) | 18.0392 | + | 4.19381i | 0.974024 | + | 0.226445i | ||||
\(344\) | −8.89366 | + | 27.3719i | −0.479514 | + | 1.47579i | ||||
\(345\) | 10.3213 | + | 2.21808i | 0.555680 | + | 0.119418i | ||||
\(346\) | −2.23253 | + | 2.47947i | −0.120021 | + | 0.133297i | ||||
\(347\) | 16.8612 | − | 18.7262i | 0.905155 | − | 1.00528i | −0.0947974 | − | 0.995497i | \(-0.530220\pi\) |
0.999952 | − | 0.00977962i | \(-0.00311300\pi\) | |||||||
\(348\) | 4.60667 | − | 2.05102i | 0.246944 | − | 0.109946i | ||||
\(349\) | −29.5288 | −1.58064 | −0.790320 | − | 0.612694i | \(-0.790086\pi\) | ||||
−0.790320 | + | 0.612694i | \(0.790086\pi\) | |||||||
\(350\) | 0.344992 | + | 14.3189i | 0.0184406 | + | 0.765379i | ||||
\(351\) | 0.967179 | 0.0516242 | ||||||||
\(352\) | −0.527853 | + | 0.235015i | −0.0281346 | + | 0.0125263i | ||||
\(353\) | −6.38629 | + | 7.09270i | −0.339908 | + | 0.377506i | −0.888728 | − | 0.458434i | \(-0.848410\pi\) |
0.548820 | + | 0.835940i | \(0.315077\pi\) | |||||||
\(354\) | −1.37024 | + | 1.52181i | −0.0728276 | + | 0.0808833i | ||||
\(355\) | −22.5915 | + | 9.99770i | −1.19903 | + | 0.530623i | ||||
\(356\) | −3.16596 | + | 9.74383i | −0.167796 | + | 0.516422i | ||||
\(357\) | −0.371573 | − | 0.774236i | −0.0196657 | − | 0.0409769i | ||||
\(358\) | −1.49210 | + | 4.59220i | −0.0788597 | + | 0.242705i | ||||
\(359\) | 1.37342 | + | 13.0672i | 0.0724863 | + | 0.689661i | 0.969070 | + | 0.246786i | \(0.0793746\pi\) |
−0.896584 | + | 0.442875i | \(0.853959\pi\) | |||||||
\(360\) | −0.730883 | + | 6.80688i | −0.0385209 | + | 0.358754i | ||||
\(361\) | −3.13510 | + | 29.8285i | −0.165005 | + | 1.56992i | ||||
\(362\) | 1.74417 | + | 16.5947i | 0.0916715 | + | 0.872196i | ||||
\(363\) | 8.88476 | − | 6.45515i | 0.466329 | − | 0.338808i | ||||
\(364\) | 1.61386 | + | 1.37169i | 0.0845895 | + | 0.0718962i | ||||
\(365\) | 18.8832 | + | 0.0423838i | 0.988392 | + | 0.00221847i | ||||
\(366\) | 1.43373 | + | 13.6410i | 0.0749422 | + | 0.713028i | ||||
\(367\) | −6.89163 | + | 1.46486i | −0.359740 | + | 0.0764651i | −0.384236 | − | 0.923235i | \(-0.625535\pi\) |
0.0244961 | + | 0.999700i | \(0.492202\pi\) | |||||||
\(368\) | −3.91736 | − | 6.78508i | −0.204207 | − | 0.353696i | ||||
\(369\) | 2.01629 | + | 2.23931i | 0.104964 | + | 0.116574i | ||||
\(370\) | 4.20983 | − | 3.04421i | 0.218859 | − | 0.158261i | ||||
\(371\) | 1.75570 | + | 7.23651i | 0.0911512 | + | 0.375701i | ||||
\(372\) | −0.807771 | − | 2.48606i | −0.0418810 | − | 0.128896i | ||||
\(373\) | −7.54883 | + | 3.36096i | −0.390864 | + | 0.174024i | −0.592752 | − | 0.805385i | \(-0.701959\pi\) |
0.201889 | + | 0.979408i | \(0.435292\pi\) | |||||||
\(374\) | 0.0234675 | + | 0.0406469i | 0.00121348 | + | 0.00210180i | ||||
\(375\) | 10.1829 | + | 4.61613i | 0.525843 | + | 0.238376i | ||||
\(376\) | 0.408131 | − | 0.706903i | 0.0210477 | − | 0.0364558i | ||||
\(377\) | 4.76698 | + | 3.46342i | 0.245512 | + | 0.178375i | ||||
\(378\) | −2.07319 | + | 1.97685i | −0.106633 | + | 0.101678i | ||||
\(379\) | −1.02125 | − | 3.14310i | −0.0524583 | − | 0.161450i | 0.921395 | − | 0.388627i | \(-0.127050\pi\) |
−0.973854 | + | 0.227177i | \(0.927050\pi\) | |||||||
\(380\) | −1.32522 | − | 12.8868i | −0.0679824 | − | 0.661079i | ||||
\(381\) | 3.74996 | − | 0.797079i | 0.192116 | − | 0.0408356i | ||||
\(382\) | 2.36543 | + | 4.09705i | 0.121026 | + | 0.209623i | ||||
\(383\) | −1.07694 | − | 1.19606i | −0.0550291 | − | 0.0611160i | 0.715002 | − | 0.699123i | \(-0.246426\pi\) |
−0.770031 | + | 0.638007i | \(0.779759\pi\) | |||||||
\(384\) | 0.0100432 | − | 0.00729684i | 0.000512517 | − | 0.000372366i | ||||
\(385\) | −0.447415 | + | 0.651207i | −0.0228024 | + | 0.0331886i | ||||
\(386\) | 10.8317 | + | 7.86969i | 0.551319 | + | 0.400557i | ||||
\(387\) | 0.982608 | + | 9.34889i | 0.0499488 | + | 0.475231i | ||||
\(388\) | −12.3708 | − | 5.50783i | −0.628032 | − | 0.279618i | ||||
\(389\) | −1.28843 | + | 12.2586i | −0.0653260 | + | 0.621535i | 0.912058 | + | 0.410062i | \(0.134493\pi\) |
−0.977384 | + | 0.211474i | \(0.932174\pi\) | |||||||
\(390\) | −2.14127 | + | 0.947603i | −0.108428 | + | 0.0479838i | ||||
\(391\) | 1.23978 | − | 0.900754i | 0.0626985 | − | 0.0455531i | ||||
\(392\) | −21.3964 | + | 1.22426i | −1.08068 | + | 0.0618343i | ||||
\(393\) | 10.5324 | 0.531291 | ||||||||
\(394\) | 19.6926 | + | 21.8708i | 0.992099 | + | 1.10184i | ||||
\(395\) | −0.614446 | + | 5.72248i | −0.0309162 | + | 0.287929i | ||||
\(396\) | −0.0739664 | + | 0.0821481i | −0.00371695 | + | 0.00412810i | ||||
\(397\) | 38.0368 | + | 8.08498i | 1.90901 | + | 0.405773i | 0.999941 | − | 0.0108645i | \(-0.00345835\pi\) |
0.909073 | + | 0.416638i | \(0.136792\pi\) | |||||||
\(398\) | 19.8180 | + | 14.3986i | 0.993388 | + | 0.721738i | ||||
\(399\) | 10.4526 | − | 15.2870i | 0.523284 | − | 0.765308i | ||||
\(400\) | −2.52858 | − | 7.90270i | −0.126429 | − | 0.395135i | ||||
\(401\) | −18.1652 | + | 31.4631i | −0.907128 | + | 1.57119i | −0.0890921 | + | 0.996023i | \(0.528397\pi\) |
−0.818035 | + | 0.575168i | \(0.804937\pi\) | |||||||
\(402\) | 1.17743 | − | 11.2025i | 0.0587247 | − | 0.558728i | ||||
\(403\) | 2.04383 | − | 2.26991i | 0.101811 | − | 0.113072i | ||||
\(404\) | −0.00182574 | 0.000388074i | −9.08342e−5 | 1.93074e-5i | ||||||
\(405\) | 0.686208 | + | 2.12817i | 0.0340980 | + | 0.105750i | ||||
\(406\) | −17.2972 | + | 2.31943i | −0.858445 | + | 0.115111i | ||||
\(407\) | 0.286579 | 0.0142052 | ||||||||
\(408\) | 0.664963 | + | 0.738517i | 0.0329206 | + | 0.0365620i | ||||
\(409\) | 27.0859 | + | 12.0594i | 1.33931 | + | 0.596299i | 0.946316 | − | 0.323242i | \(-0.104773\pi\) |
0.392994 | + | 0.919541i | \(0.371439\pi\) | |||||||
\(410\) | −6.65792 | − | 2.98222i | −0.328811 | − | 0.147281i | ||||
\(411\) | 4.93312 | − | 2.19637i | 0.243333 | − | 0.108339i | ||||
\(412\) | −3.91143 | + | 2.84182i | −0.192702 | + | 0.140006i | ||||
\(413\) | −4.26034 | + | 2.62481i | −0.209638 | + | 0.129159i | ||||
\(414\) | −4.13550 | − | 3.00462i | −0.203249 | − | 0.147669i | ||||
\(415\) | −11.1561 | − | 2.39748i | −0.547630 | − | 0.117688i | ||||
\(416\) | −3.82273 | − | 1.70199i | −0.187425 | − | 0.0834470i | ||||
\(417\) | 3.80153 | − | 0.808041i | 0.186162 | − | 0.0395699i | ||||
\(418\) | −0.506057 | + | 0.876516i | −0.0247520 | + | 0.0428718i | ||||
\(419\) | −9.47977 | + | 29.1757i | −0.463117 | + | 1.42533i | 0.398218 | + | 0.917291i | \(0.369629\pi\) |
−0.861335 | + | 0.508037i | \(0.830371\pi\) | |||||||
\(420\) | −1.87323 | + | 4.52434i | −0.0914043 | + | 0.220765i | ||||
\(421\) | 10.7189 | + | 32.9893i | 0.522406 | + | 1.60780i | 0.769388 | + | 0.638781i | \(0.220561\pi\) |
−0.246982 | + | 0.969020i | \(0.579439\pi\) | |||||||
\(422\) | −0.144765 | − | 0.0307706i | −0.00704703 | − | 0.00149789i | ||||
\(423\) | 0.0278684 | − | 0.265150i | 0.00135501 | − | 0.0128920i | ||||
\(424\) | −4.30847 | − | 7.46248i | −0.209238 | − | 0.362410i | ||||
\(425\) | 1.48558 | − | 0.653450i | 0.0720614 | − | 0.0316970i | ||||
\(426\) | 11.9623 | 0.579576 | ||||||||
\(427\) | −6.02893 | + | 32.9702i | −0.291761 | + | 1.59554i | ||||
\(428\) | 3.55813 | + | 10.9508i | 0.171989 | + | 0.529326i | ||||
\(429\) | −0.126345 | − | 0.0268554i | −0.00609998 | − | 0.00129659i | ||||
\(430\) | −11.3351 | − | 19.7351i | −0.546627 | − | 0.951713i | ||||
\(431\) | −6.46074 | + | 1.37327i | −0.311203 | + | 0.0661482i | −0.360866 | − | 0.932618i | \(-0.617519\pi\) |
0.0496628 | + | 0.998766i | \(0.484185\pi\) | |||||||
\(432\) | 0.829738 | − | 1.43715i | 0.0399208 | − | 0.0691448i | ||||
\(433\) | 6.53891 | − | 20.1247i | 0.314240 | − | 0.967132i | −0.661826 | − | 0.749658i | \(-0.730218\pi\) |
0.976066 | − | 0.217474i | \(-0.0697818\pi\) | |||||||
\(434\) | 0.258502 | + | 9.04309i | 0.0124085 | + | 0.434082i | ||||
\(435\) | −4.23872 | + | 12.9465i | −0.203231 | + | 0.620737i | ||||
\(436\) | 0.355177 | − | 0.158135i | 0.0170099 | − | 0.00757329i | ||||
\(437\) | 30.1891 | + | 13.4410i | 1.44414 | + | 0.642972i | ||||
\(438\) | −8.35294 | − | 3.71897i | −0.399119 | − | 0.177699i | ||||
\(439\) | −21.4948 | + | 9.57010i | −1.02589 | + | 0.456756i | −0.849513 | − | 0.527567i | \(-0.823104\pi\) |
−0.176377 | + | 0.984323i | \(0.556438\pi\) | |||||||
\(440\) | 0.284481 | − | 0.868903i | 0.0135621 | − | 0.0414233i | ||||
\(441\) | −6.22173 | + | 3.20781i | −0.296273 | + | 0.152753i | ||||
\(442\) | −0.105037 | + | 0.323270i | −0.00499609 | + | 0.0153764i | ||||
\(443\) | 8.68920 | − | 15.0501i | 0.412837 | − | 0.715054i | −0.582362 | − | 0.812929i | \(-0.697871\pi\) |
0.995199 | + | 0.0978757i | \(0.0312048\pi\) | |||||||
\(444\) | 1.73732 | − | 0.369280i | 0.0824498 | − | 0.0175252i | ||||
\(445\) | −13.7850 | − | 24.0006i | −0.653473 | − | 1.13774i | ||||
\(446\) | −3.36995 | − | 0.716304i | −0.159572 | − | 0.0339180i | ||||
\(447\) | −4.86023 | − | 14.9583i | −0.229881 | − | 0.707501i | ||||
\(448\) | 19.9433 | − | 7.11617i | 0.942233 | − | 0.336207i | ||||
\(449\) | −15.9072 | −0.750709 | −0.375355 | − | 0.926881i | \(-0.622479\pi\) | ||||
−0.375355 | + | 0.926881i | \(0.622479\pi\) | |||||||
\(450\) | −3.60432 | − | 4.03932i | −0.169909 | − | 0.190415i | ||||
\(451\) | −0.201213 | − | 0.348512i | −0.00947476 | − | 0.0164108i | ||||
\(452\) | 1.38717 | − | 13.1981i | 0.0652472 | − | 0.620785i | ||||
\(453\) | 9.96841 | + | 2.11885i | 0.468357 | + | 0.0995523i | ||||
\(454\) | −6.01024 | − | 18.4976i | −0.282074 | − | 0.868136i | ||||
\(455\) | −5.67284 | + | 0.747729i | −0.265947 | + | 0.0350541i | ||||
\(456\) | −6.62218 | + | 20.3810i | −0.310112 | + | 0.954427i | ||||
\(457\) | −3.29667 | + | 5.70999i | −0.154212 | + | 0.267102i | −0.932772 | − | 0.360468i | \(-0.882617\pi\) |
0.778560 | + | 0.627570i | \(0.215950\pi\) | |||||||
\(458\) | 22.6470 | − | 4.81378i | 1.05823 | − | 0.224933i | ||||
\(459\) | 0.296527 | + | 0.132022i | 0.0138407 | + | 0.00616228i | ||||
\(460\) | −8.54304 | − | 1.83593i | −0.398321 | − | 0.0856007i | ||||
\(461\) | 2.47769 | + | 1.80015i | 0.115398 | + | 0.0838413i | 0.643987 | − | 0.765036i | \(-0.277279\pi\) |
−0.528590 | + | 0.848877i | \(0.677279\pi\) | |||||||
\(462\) | 0.325715 | − | 0.200674i | 0.0151536 | − | 0.00933622i | ||||
\(463\) | −30.2046 | + | 21.9449i | −1.40373 | + | 1.01987i | −0.409530 | + | 0.912297i | \(0.634307\pi\) |
−0.994197 | + | 0.107571i | \(0.965693\pi\) | |||||||
\(464\) | 9.23592 | − | 4.11209i | 0.428767 | − | 0.190899i | ||||
\(465\) | 6.44477 | + | 2.88675i | 0.298869 | + | 0.133870i | ||||
\(466\) | 11.8084 | + | 5.25746i | 0.547015 | + | 0.243547i | ||||
\(467\) | 18.4340 | + | 20.4730i | 0.853023 | + | 0.947379i | 0.999122 | − | 0.0418915i | \(-0.0133384\pi\) |
−0.146099 | + | 0.989270i | \(0.546672\pi\) | |||||||
\(468\) | −0.800544 | −0.0370052 | ||||||||
\(469\) | 10.4724 | − | 25.4552i | 0.483572 | − | 1.17541i | ||||
\(470\) | 0.198084 | + | 0.614330i | 0.00913695 | + | 0.0283369i | ||||
\(471\) | −5.44888 | − | 1.15819i | −0.251071 | − | 0.0533668i | ||||
\(472\) | 3.87465 | − | 4.30324i | 0.178345 | − | 0.198073i | ||||
\(473\) | 0.131228 | − | 1.24855i | 0.00603386 | − | 0.0574083i | ||||
\(474\) | 1.39340 | − | 2.41344i | 0.0640010 | − | 0.110853i | ||||
\(475\) | 28.2209 | + | 20.6979i | 1.29486 | + | 0.949683i | ||||
\(476\) | 0.307555 | + | 0.640843i | 0.0140968 | + | 0.0293730i | ||||
\(477\) | −2.27697 | − | 1.65432i | −0.104255 | − | 0.0757460i | ||||
\(478\) | −9.02211 | − | 1.91771i | −0.412662 | − | 0.0877139i | ||||
\(479\) | 15.8086 | − | 17.5573i | 0.722315 | − | 0.802213i | −0.264444 | − | 0.964401i | \(-0.585189\pi\) |
0.986760 | + | 0.162188i | \(0.0518552\pi\) | |||||||
\(480\) | 1.03284 | − | 9.61906i | 0.0471424 | − | 0.439048i | ||||
\(481\) | 1.38872 | + | 1.54233i | 0.0633204 | + | 0.0703244i | ||||
\(482\) | 4.53463 | 0.206547 | ||||||||
\(483\) | −7.62787 | − | 9.89163i | −0.347080 | − | 0.450085i | ||||
\(484\) | −7.35400 | + | 5.34300i | −0.334273 | + | 0.242864i | ||||
\(485\) | 33.4532 | − | 14.8044i | 1.51903 | − | 0.672234i | ||||
\(486\) | 0.113175 | − | 1.07679i | 0.00513374 | − | 0.0488443i | ||||
\(487\) | 13.0022 | + | 5.78895i | 0.589186 | + | 0.262322i | 0.679601 | − | 0.733582i | \(-0.262153\pi\) |
−0.0904155 | + | 0.995904i | \(0.528819\pi\) | |||||||
\(488\) | −4.05417 | − | 38.5729i | −0.183524 | − | 1.74611i | ||||
\(489\) | 16.9487 | + | 12.3139i | 0.766445 | + | 0.556855i | ||||
\(490\) | 10.6316 | − | 13.1977i | 0.480289 | − | 0.596211i | ||||
\(491\) | 23.2058 | − | 16.8600i | 1.04726 | − | 0.760881i | 0.0755728 | − | 0.997140i | \(-0.475921\pi\) |
0.971690 | + | 0.236259i | \(0.0759215\pi\) | |||||||
\(492\) | −1.66890 | − | 1.85350i | −0.0752398 | − | 0.0835623i | ||||
\(493\) | 0.988743 | + | 1.71255i | 0.0445307 | + | 0.0771295i | ||||
\(494\) | −7.16960 | + | 1.52395i | −0.322576 | + | 0.0685655i | ||||
\(495\) | −0.0305484 | − | 0.297061i | −0.00137305 | − | 0.0133519i | ||||
\(496\) | −1.61950 | − | 4.98431i | −0.0727177 | − | 0.223802i | ||||
\(497\) | 28.0473 | + | 8.23488i | 1.25809 | + | 0.369385i | ||||
\(498\) | 4.46998 | + | 3.24763i | 0.200305 | + | 0.145530i | ||||
\(499\) | 8.41007 | − | 14.5667i | 0.376487 | − | 0.652094i | −0.614062 | − | 0.789258i | \(-0.710465\pi\) |
0.990548 | + | 0.137164i | \(0.0437987\pi\) | |||||||
\(500\) | −8.42849 | − | 3.82081i | −0.376933 | − | 0.170872i | ||||
\(501\) | 3.77150 | + | 6.53242i | 0.168498 | + | 0.291847i | ||||
\(502\) | 29.3984 | − | 13.0890i | 1.31211 | − | 0.584191i | ||||
\(503\) | −12.3674 | − | 38.0628i | −0.551433 | − | 1.69714i | −0.705182 | − | 0.709026i | \(-0.749135\pi\) |
0.153749 | − | 0.988110i | \(-0.450865\pi\) | |||||||
\(504\) | 5.86237 | − | 5.58996i | 0.261131 | − | 0.248996i | ||||
\(505\) | 0.00408608 | − | 0.00295472i | 0.000181828 | − | 0.000131483i | ||||
\(506\) | 0.456801 | + | 0.507329i | 0.0203073 | + | 0.0225535i | ||||
\(507\) | 6.03228 | + | 10.4482i | 0.267903 | + | 0.464022i | ||||
\(508\) | −3.10388 | + | 0.659750i | −0.137712 | + | 0.0292717i | ||||
\(509\) | −3.94395 | − | 37.5242i | −0.174813 | − | 1.66323i | −0.632832 | − | 0.774289i | \(-0.718107\pi\) |
0.458019 | − | 0.888942i | \(-0.348559\pi\) | |||||||
\(510\) | −0.785843 | − | 0.00176384i | −0.0347977 | − | 7.81042e-5i | ||||
\(511\) | −17.0245 | − | 14.4698i | −0.753118 | − | 0.640107i | ||||
\(512\) | −14.0293 | + | 10.1929i | −0.620011 | + | 0.450465i | ||||
\(513\) | 0.731646 | + | 6.96114i | 0.0323029 | + | 0.307342i | ||||
\(514\) | −2.77417 | + | 26.3945i | −0.122363 | + | 1.16421i | ||||
\(515\) | 1.39442 | − | 12.9866i | 0.0614456 | − | 0.572257i | ||||
\(516\) | −0.813315 | − | 7.73817i | −0.0358042 | − | 0.340654i | ||||
\(517\) | −0.0110028 | + | 0.0338633i | −0.000483904 | + | 0.00148930i | ||||
\(518\) | −6.12921 | − | 0.467594i | −0.269302 | − | 0.0205449i | ||||
\(519\) | 0.952250 | − | 2.93072i | 0.0417991 | − | 0.128644i | ||||
\(520\) | 6.05490 | − | 2.67955i | 0.265525 | − | 0.117506i | ||||
\(521\) | −7.71284 | + | 8.56598i | −0.337906 | + | 0.375282i | −0.888018 | − | 0.459808i | \(-0.847918\pi\) |
0.550112 | + | 0.835091i | \(0.314585\pi\) | |||||||
\(522\) | 4.41375 | − | 4.90196i | 0.193184 | − | 0.214553i | ||||
\(523\) | −6.74247 | + | 3.00194i | −0.294828 | + | 0.131266i | −0.548820 | − | 0.835940i | \(-0.684923\pi\) |
0.253992 | + | 0.967206i | \(0.418256\pi\) | |||||||
\(524\) | −8.71780 | −0.380839 | ||||||||
\(525\) | −5.67015 | − | 11.9520i | −0.247465 | − | 0.521626i | ||||
\(526\) | 22.1248 | 0.964687 | ||||||||
\(527\) | 0.936466 | − | 0.416942i | 0.0407931 | − | 0.0181623i | ||||
\(528\) | −0.148295 | + | 0.164699i | −0.00645372 | + | 0.00716758i | ||||
\(529\) | −0.475205 | + | 0.527769i | −0.0206611 | + | 0.0229465i | ||||
\(530\) | 6.66191 | + | 1.43167i | 0.289375 | + | 0.0621877i | ||||
\(531\) | 0.584456 | − | 1.79877i | 0.0253632 | − | 0.0780600i | ||||
\(532\) | −8.65172 | + | 12.6532i | −0.375100 | + | 0.548587i | ||||
\(533\) | 0.900597 | − | 2.77175i | 0.0390092 | − | 0.120058i | ||||
\(534\) | 1.40087 | + | 13.3284i | 0.0606215 | + | 0.576775i | ||||
\(535\) | −28.3884 | − | 12.7157i | −1.22734 | − | 0.549750i | ||||
\(536\) | −3.32942 | + | 31.6773i | −0.143809 | + | 1.36825i | ||||
\(537\) | −0.466156 | − | 4.43518i | −0.0201161 | − | 0.191392i | ||||
\(538\) | −17.6839 | + | 12.8481i | −0.762406 | + | 0.553920i | ||||
\(539\) | 0.901828 | − | 0.246286i | 0.0388445 | − | 0.0106083i | ||||
\(540\) | −0.567981 | − | 1.76151i | −0.0244420 | − | 0.0758033i | ||||
\(541\) | −3.07013 | − | 29.2103i | −0.131995 | − | 1.25585i | −0.837221 | − | 0.546865i | \(-0.815821\pi\) |
0.705226 | − | 0.708983i | \(-0.250846\pi\) | |||||||
\(542\) | 24.2365 | − | 5.15163i | 1.04105 | − | 0.221282i | ||||
\(543\) | −7.70560 | − | 13.3465i | −0.330679 | − | 0.572753i | ||||
\(544\) | −0.939685 | − | 1.04363i | −0.0402887 | − | 0.0447451i | ||||
\(545\) | −0.326808 | + | 0.998181i | −0.0139989 | + | 0.0427574i | ||||
\(546\) | 2.65838 | + | 0.780520i | 0.113768 | + | 0.0334032i | ||||
\(547\) | 10.0535 | + | 30.9414i | 0.429855 | + | 1.32296i | 0.898268 | + | 0.439448i | \(0.144826\pi\) |
−0.468413 | + | 0.883510i | \(0.655174\pi\) | |||||||
\(548\) | −4.08320 | + | 1.81796i | −0.174425 | + | 0.0776592i | ||||
\(549\) | −6.33410 | − | 10.9710i | −0.270333 | − | 0.468230i | ||||
\(550\) | 0.358681 | + | 0.627745i | 0.0152942 | + | 0.0267671i | ||||
\(551\) | −21.3214 | + | 36.9297i | −0.908321 | + | 1.57326i | ||||
\(552\) | 11.6940 | + | 8.49619i | 0.497730 | + | 0.361622i | ||||
\(553\) | 4.92844 | − | 4.69942i | 0.209579 | − | 0.199840i | ||||
\(554\) | 3.43756 | + | 10.5797i | 0.146048 | + | 0.449490i | ||||
\(555\) | −2.40845 | + | 4.15001i | −0.102233 | + | 0.176158i | ||||
\(556\) | −3.14657 | + | 0.668824i | −0.133444 | + | 0.0283645i | ||||
\(557\) | −22.1453 | − | 38.3568i | −0.938326 | − | 1.62523i | −0.768593 | − | 0.639737i | \(-0.779043\pi\) |
−0.169732 | − | 0.985490i | \(-0.554290\pi\) | |||||||
\(558\) | −2.28800 | − | 2.54108i | −0.0968587 | − | 0.107573i | ||||
\(559\) | 7.35547 | − | 5.34406i | 0.311103 | − | 0.226030i | ||||
\(560\) | −3.75564 | + | 9.07084i | −0.158705 | + | 0.383313i | ||||
\(561\) | −0.0350701 | − | 0.0254799i | −0.00148066 | − | 0.00107576i | ||||
\(562\) | 3.40920 | + | 32.4364i | 0.143809 | + | 1.36825i | ||||
\(563\) | 0.422724 | + | 0.188209i | 0.0178157 | + | 0.00793206i | 0.415625 | − | 0.909536i | \(-0.363563\pi\) |
−0.397809 | + | 0.917468i | \(0.630229\pi\) | |||||||
\(564\) | −0.0230669 | + | 0.219467i | −0.000971293 | + | 0.00924124i | ||||
\(565\) | 23.9292 | + | 26.6964i | 1.00671 | + | 1.12312i | ||||
\(566\) | −15.3697 | + | 11.1667i | −0.646036 | + | 0.469372i | ||||
\(567\) | 1.00662 | − | 2.44678i | 0.0422741 | − | 0.102755i | ||||
\(568\) | −33.8260 | −1.41931 | ||||||||
\(569\) | −19.3903 | − | 21.5351i | −0.812883 | − | 0.902798i | 0.183900 | − | 0.982945i | \(-0.441128\pi\) |
−0.996783 | + | 0.0801470i | \(0.974461\pi\) | |||||||
\(570\) | −8.44007 | − | 14.6947i | −0.353516 | − | 0.615493i | ||||
\(571\) | 6.38685 | − | 7.09332i | 0.267281 | − | 0.296846i | −0.594532 | − | 0.804072i | \(-0.702662\pi\) |
0.861813 | + | 0.507226i | \(0.169329\pi\) | |||||||
\(572\) | 0.104577 | + | 0.0222285i | 0.00437257 | + | 0.000929419i | ||||
\(573\) | −3.53493 | − | 2.56827i | −0.147674 | − | 0.107291i | ||||
\(574\) | 3.73481 | + | 7.78212i | 0.155888 | + | 0.324819i | ||||
\(575\) | 19.1598 | − | 13.7894i | 0.799018 | − | 0.575058i | ||||
\(576\) | −4.00168 | + | 6.93111i | −0.166737 | + | 0.288796i | ||||
\(577\) | −0.841807 | + | 8.00925i | −0.0350449 | + | 0.333430i | 0.962926 | + | 0.269764i | \(0.0869457\pi\) |
−0.997971 | + | 0.0636655i | \(0.979721\pi\) | |||||||
\(578\) | 12.2399 | − | 13.5938i | 0.509112 | − | 0.565426i | ||||
\(579\) | −12.0956 | − | 2.57099i | −0.502674 | − | 0.106847i | ||||
\(580\) | 3.50843 | − | 10.7160i | 0.145680 | − | 0.444956i | ||||
\(581\) | 8.24481 | + | 10.6917i | 0.342052 | + | 0.443565i | ||||
\(582\) | −17.7136 | −0.734252 | ||||||||
\(583\) | 0.251511 | + | 0.279331i | 0.0104165 | + | 0.0115687i | ||||
\(584\) | 23.6197 | + | 10.5162i | 0.977390 | + | 0.435162i | ||||
\(585\) | 1.45072 | − | 1.60393i | 0.0599798 | − | 0.0663144i | ||||
\(586\) | 17.3383 | − | 7.71952i | 0.716239 | − | 0.318890i | ||||
\(587\) | −29.1149 | + | 21.1532i | −1.20170 | + | 0.873087i | −0.994451 | − | 0.105201i | \(-0.966451\pi\) |
−0.207250 | + | 0.978288i | \(0.566451\pi\) | |||||||
\(588\) | 5.14979 | − | 2.65514i | 0.212374 | − | 0.109496i | ||||
\(589\) | 17.8835 | + | 12.9931i | 0.736875 | + | 0.535371i | ||||
\(590\) | 0.468415 | + | 4.55499i | 0.0192843 | + | 0.187526i | ||||
\(591\) | −24.8316 | − | 11.0557i | −1.02144 | − | 0.454772i | ||||
\(592\) | 3.48316 | − | 0.740368i | 0.143157 | − | 0.0304290i | ||||
\(593\) | 1.16609 | − | 2.01973i | 0.0478856 | − | 0.0829403i | −0.841089 | − | 0.540897i | \(-0.818085\pi\) |
0.888975 | + | 0.457956i | \(0.151418\pi\) | |||||||
\(594\) | −0.0446833 | + | 0.137521i | −0.00183338 | + | 0.00564256i | ||||
\(595\) | −1.84130 | − | 0.545111i | −0.0754860 | − | 0.0223474i | ||||
\(596\) | 4.02286 | + | 12.3811i | 0.164783 | + | 0.507150i | ||||
\(597\) | −22.1304 | − | 4.70397i | −0.905738 | − | 0.192520i | ||||
\(598\) | −0.516788 | + | 4.91691i | −0.0211330 | + | 0.201067i | ||||
\(599\) | 10.6492 | + | 18.4450i | 0.435116 | + | 0.753642i | 0.997305 | − | 0.0733661i | \(-0.0233741\pi\) |
−0.562189 | + | 0.827009i | \(0.690041\pi\) | |||||||
\(600\) | 10.1920 | + | 11.4220i | 0.416086 | + | 0.466302i | ||||
\(601\) | 4.60113 | 0.187684 | 0.0938419 | − | 0.995587i | \(-0.470085\pi\) | ||||
0.0938419 | + | 0.995587i | \(0.470085\pi\) | |||||||
\(602\) | −4.84383 | + | 26.4893i | −0.197420 | + | 1.07962i | ||||
\(603\) | 3.21487 | + | 9.89437i | 0.130920 | + | 0.402930i | ||||
\(604\) | −8.25095 | − | 1.75379i | −0.335726 | − | 0.0713609i | ||||
\(605\) | 2.62170 | − | 24.4165i | 0.106587 | − | 0.992673i | ||||
\(606\) | −0.00238825 | 0.000507637i | −9.70159e−5 | 2.06214e-5i | ||||||
\(607\) | 2.92696 | − | 5.06965i | 0.118802 | − | 0.205771i | −0.800491 | − | 0.599344i | \(-0.795428\pi\) |
0.919293 | + | 0.393574i | \(0.128761\pi\) | |||||||
\(608\) | 9.35805 | − | 28.8011i | 0.379519 | − | 1.16804i | ||||
\(609\) | 13.7232 | − | 8.45489i | 0.556090 | − | 0.342609i | ||||
\(610\) | 24.7722 | + | 18.0832i | 1.00300 | + | 0.732167i | ||||
\(611\) | −0.235567 | + | 0.104881i | −0.00953001 | + | 0.00424303i | ||||
\(612\) | −0.245439 | − | 0.109276i | −0.00992127 | − | 0.00441723i | ||||
\(613\) | −34.6559 | − | 15.4298i | −1.39974 | − | 0.623204i | −0.438452 | − | 0.898755i | \(-0.644473\pi\) |
−0.961287 | + | 0.275551i | \(0.911140\pi\) | |||||||
\(614\) | −12.0577 | + | 5.36844i | −0.486609 | + | 0.216652i | ||||
\(615\) | 6.73791 | + | 0.0151234i | 0.271699 | + | 0.000609834i | ||||
\(616\) | −0.921028 | + | 0.567449i | −0.0371093 | + | 0.0228632i | ||||
\(617\) | 3.32343 | − | 10.2285i | 0.133796 | − | 0.411783i | −0.861605 | − | 0.507580i | \(-0.830540\pi\) |
0.995401 | + | 0.0957975i | \(0.0305401\pi\) | |||||||
\(618\) | −3.16218 | + | 5.47706i | −0.127202 | + | 0.220320i | ||||
\(619\) | 22.9146 | − | 4.87065i | 0.921016 | − | 0.195768i | 0.277079 | − | 0.960847i | \(-0.410633\pi\) |
0.643936 | + | 0.765079i | \(0.277300\pi\) | |||||||
\(620\) | −5.33440 | − | 2.38939i | −0.214235 | − | 0.0959602i | ||||
\(621\) | 4.61804 | + | 0.981595i | 0.185316 | + | 0.0393900i | ||||
\(622\) | −4.57188 | − | 14.0708i | −0.183316 | − | 0.564188i | ||||
\(623\) | −5.89075 | + | 32.2146i | −0.236008 | + | 1.29065i | ||||
\(624\) | −1.60501 | −0.0642518 | ||||||||
\(625\) | 22.9290 | − | 9.96296i | 0.917160 | − | 0.398518i | ||||
\(626\) | −7.87987 | − | 13.6483i | −0.314943 | − | 0.545497i | ||||
\(627\) | 0.0977116 | − | 0.929664i | 0.00390223 | − | 0.0371272i | ||||
\(628\) | 4.51009 | + | 0.958649i | 0.179972 | + | 0.0382543i | ||||
\(629\) | 0.215236 | + | 0.662428i | 0.00858202 | + | 0.0264127i | ||||
\(630\) | 0.168658 | + | 6.40326i | 0.00671948 | + | 0.255112i | ||||
\(631\) | −0.216909 | + | 0.667577i | −0.00863501 | + | 0.0265758i | −0.955281 | − | 0.295699i | \(-0.904447\pi\) |
0.946646 | + | 0.322275i | \(0.104447\pi\) | |||||||
\(632\) | −3.94014 | + | 6.82451i | −0.156730 | + | 0.271465i | ||||
\(633\) | 0.133704 | − | 0.0284197i | 0.00531426 | − | 0.00112958i | ||||
\(634\) | 16.6317 | + | 7.40493i | 0.660531 | + | 0.294087i | ||||
\(635\) | 4.30290 | − | 7.41436i | 0.170755 | − | 0.294230i | ||||
\(636\) | 1.88467 | + | 1.36930i | 0.0747322 | + | 0.0542961i | ||||
\(637\) | 5.69563 | + | 3.66007i | 0.225669 | + | 0.145017i | ||||
\(638\) | −0.712688 | + | 0.517798i | −0.0282156 | + | 0.0204998i | ||||
\(639\) | −10.0932 | + | 4.49377i | −0.399280 | + | 0.177771i | ||||
\(640\) | 0.00296355 | − | 0.0276002i | 0.000117144 | − | 0.00109099i | ||||
\(641\) | −15.1173 | − | 6.73068i | −0.597099 | − | 0.265846i | 0.0858540 | − | 0.996308i | \(-0.472638\pi\) |
−0.682953 | + | 0.730462i | \(0.739305\pi\) | |||||||
\(642\) | 10.0783 | + | 11.1931i | 0.397760 | + | 0.441758i | ||||
\(643\) | −28.5735 | −1.12683 | −0.563413 | − | 0.826175i | \(-0.690512\pi\) | ||||
−0.563413 | + | 0.826175i | \(0.690512\pi\) | |||||||
\(644\) | 6.31366 | + | 8.18740i | 0.248793 | + | 0.322629i | ||||
\(645\) | 16.9777 | + | 12.3933i | 0.668496 | + | 0.487987i | ||||
\(646\) | −2.40615 | − | 0.511443i | −0.0946686 | − | 0.0201224i | ||||
\(647\) | −5.88802 | + | 6.53931i | −0.231482 | + | 0.257087i | −0.847684 | − | 0.530501i | \(-0.822004\pi\) |
0.616202 | + | 0.787588i | \(0.288670\pi\) | |||||||
\(648\) | −0.320027 | + | 3.04486i | −0.0125719 | + | 0.119613i | ||||
\(649\) | −0.126295 | + | 0.218749i | −0.00495750 | + | 0.00858664i | ||||
\(650\) | −1.64033 | + | 4.97236i | −0.0643391 | + | 0.195032i | ||||
\(651\) | −3.61524 | − | 7.53298i | −0.141693 | − | 0.295241i | ||||
\(652\) | −14.0286 | − | 10.1924i | −0.549401 | − | 0.399164i | ||||
\(653\) | −34.5732 | − | 7.34876i | −1.35295 | − | 0.287579i | −0.526304 | − | 0.850297i | \(-0.676423\pi\) |
−0.826649 | + | 0.562717i | \(0.809756\pi\) | |||||||
\(654\) | 0.340302 | − | 0.377944i | 0.0133069 | − | 0.0147788i | ||||
\(655\) | 15.7981 | − | 17.4666i | 0.617283 | − | 0.682475i | ||||
\(656\) | −3.34598 | − | 3.71608i | −0.130638 | − | 0.145089i | ||||
\(657\) | 8.44485 | 0.329465 | ||||||||
\(658\) | 0.290577 | − | 0.706299i | 0.0113279 | − | 0.0275344i | ||||
\(659\) | −3.83522 | + | 2.78645i | −0.149399 | + | 0.108545i | −0.659974 | − | 0.751289i | \(-0.729433\pi\) |
0.510575 | + | 0.859833i | \(0.329433\pi\) | |||||||
\(660\) | 0.0252853 | + | 0.245881i | 0.000984227 | + | 0.00957089i | ||||
\(661\) | 1.72834 | − | 16.4440i | 0.0672246 | − | 0.639599i | −0.908089 | − | 0.418777i | \(-0.862459\pi\) |
0.975314 | − | 0.220823i | \(-0.0708743\pi\) | |||||||
\(662\) | 26.2391 | + | 11.6824i | 1.01981 | + | 0.454050i | ||||
\(663\) | −0.0328153 | − | 0.312216i | −0.00127444 | − | 0.0121255i | ||||
\(664\) | −12.6398 | − | 9.18336i | −0.490520 | − | 0.356384i | ||||
\(665\) | −9.67304 | − | 40.2639i | −0.375104 | − | 1.56137i | ||||
\(666\) | 1.87963 | − | 1.36563i | 0.0728343 | − | 0.0529172i | ||||
\(667\) | 19.2461 | + | 21.3750i | 0.745213 | + | 0.827643i | ||||
\(668\) | −3.12171 | − | 5.40695i | −0.120782 | − | 0.209201i | ||||
\(669\) | 3.11247 | − | 0.661576i | 0.120335 | − | 0.0255780i | ||||
\(670\) | −16.8116 | − | 18.7557i | −0.649490 | − | 0.724596i | ||||
\(671\) | 0.522809 | + | 1.60904i | 0.0201828 | + | 0.0621163i | ||||
\(672\) | −8.28433 | + | 7.89938i | −0.319575 | + | 0.304725i | ||||
\(673\) | 3.62960 | + | 2.63706i | 0.139911 | + | 0.101651i | 0.655539 | − | 0.755161i | \(-0.272441\pi\) |
−0.515628 | + | 0.856812i | \(0.672441\pi\) | |||||||
\(674\) | −18.6523 | + | 32.3067i | −0.718459 | + | 1.24441i | ||||
\(675\) | 4.55855 | + | 2.05417i | 0.175459 | + | 0.0790649i | ||||
\(676\) | −4.99298 | − | 8.64810i | −0.192038 | − | 0.332619i | ||||
\(677\) | 1.43752 | − | 0.640024i | 0.0552482 | − | 0.0245981i | −0.378927 | − | 0.925427i | \(-0.623707\pi\) |
0.434175 | + | 0.900829i | \(0.357040\pi\) | |||||||
\(678\) | −5.36436 | − | 16.5098i | −0.206017 | − | 0.634055i | ||||
\(679\) | −41.5320 | − | 12.1941i | −1.59385 | − | 0.467966i | ||||
\(680\) | 2.22214 | + | 0.00498763i | 0.0852150 | + | 0.000191267i | ||||
\(681\) | 12.0200 | + | 13.3495i | 0.460606 | + | 0.511554i | ||||
\(682\) | 0.228329 | + | 0.395477i | 0.00874316 | + | 0.0151436i | ||||
\(683\) | −21.5245 | + | 4.57517i | −0.823612 | + | 0.175064i | −0.600394 | − | 0.799704i | \(-0.704990\pi\) |
−0.223218 | + | 0.974769i | \(0.571656\pi\) | |||||||
\(684\) | −0.605591 | − | 5.76181i | −0.0231553 | − | 0.220308i | ||||
\(685\) | 3.75706 | − | 11.4753i | 0.143550 | − | 0.438450i | ||||
\(686\) | −19.6897 | + | 3.79598i | −0.751758 | + | 0.144931i | ||||
\(687\) | −17.3000 | + | 12.5692i | −0.660038 | + | 0.479546i | ||||
\(688\) | −1.63061 | − | 15.5143i | −0.0621666 | − | 0.591475i | ||||
\(689\) | −0.284539 | + | 2.70721i | −0.0108401 | + | 0.103136i | ||||
\(690\) | −11.1858 | + | 2.35138i | −0.425835 | + | 0.0895156i | ||||
\(691\) | 3.00900 | + | 28.6287i | 0.114468 | + | 1.08909i | 0.889427 | + | 0.457077i | \(0.151103\pi\) |
−0.774960 | + | 0.632011i | \(0.782230\pi\) | |||||||
\(692\) | −0.788187 | + | 2.42579i | −0.0299624 | + | 0.0922147i | ||||
\(693\) | −0.199436 | + | 0.291677i | −0.00757594 | + | 0.0110799i | ||||
\(694\) | −8.43095 | + | 25.9478i | −0.320034 | + | 0.984965i | ||||
\(695\) | 4.36208 | − | 7.51633i | 0.165463 | − | 0.285111i | ||||
\(696\) | −12.4808 | + | 13.8613i | −0.473083 | + | 0.525412i | ||||
\(697\) | 0.654465 | − | 0.726857i | 0.0247896 | − | 0.0275317i | ||||
\(698\) | 29.2074 | − | 13.0040i | 1.10552 | − | 0.492208i | ||||
\(699\) | −11.9384 | −0.451550 | ||||||||
\(700\) | 4.69324 | + | 9.89276i | 0.177388 | + | 0.373911i | ||||
\(701\) | 48.3807 | 1.82731 | 0.913657 | − | 0.406486i | \(-0.133246\pi\) | ||||
0.913657 | + | 0.406486i | \(0.133246\pi\) | |||||||
\(702\) | −0.956653 | + | 0.425929i | −0.0361065 | + | 0.0160757i | ||||
\(703\) | −10.0502 | + | 11.1619i | −0.379051 | + | 0.420979i | ||||
\(704\) | 0.715202 | − | 0.794312i | 0.0269552 | − | 0.0299368i | ||||
\(705\) | −0.397913 | − | 0.443927i | −0.0149863 | − | 0.0167192i | ||||
\(706\) | 3.19329 | − | 9.82792i | 0.120181 | − | 0.369879i | ||||
\(707\) | −0.00594903 | 0.000453848i | −0.000223736 | 1.70687e-5i | ||||||
\(708\) | −0.483760 | + | 1.48886i | −0.0181808 | + | 0.0559548i | ||||
\(709\) | 1.56338 | + | 14.8746i | 0.0587140 | + | 0.558626i | 0.983851 | + | 0.178992i | \(0.0572836\pi\) |
−0.925137 | + | 0.379634i | \(0.876050\pi\) | |||||||
\(710\) | 17.9428 | − | 19.8378i | 0.673383 | − | 0.744500i | ||||
\(711\) | −0.269044 | + | 2.55978i | −0.0100899 | + | 0.0959993i | ||||
\(712\) | −3.96125 | − | 37.6888i | −0.148454 | − | 1.41245i | ||||
\(713\) | 12.0625 | − | 8.76394i | 0.451745 | − | 0.328212i | ||||
\(714\) | 0.708490 | + | 0.602175i | 0.0265146 | + | 0.0225358i | ||||
\(715\) | −0.234046 | + | 0.169243i | −0.00875283 | + | 0.00632934i | ||||
\(716\) | 0.385842 | + | 3.67104i | 0.0144196 | + | 0.137193i | ||||
\(717\) | 8.33279 | − | 1.77119i | 0.311194 | − | 0.0661463i | ||||
\(718\) | −7.11305 | − | 12.3202i | −0.265457 | − | 0.459785i | ||||
\(719\) | −22.7110 | − | 25.2231i | −0.846978 | − | 0.940664i | 0.151882 | − | 0.988399i | \(-0.451467\pi\) |
−0.998860 | + | 0.0477343i | \(0.984800\pi\) | |||||||
\(720\) | −1.13875 | − | 3.53165i | −0.0424385 | − | 0.131617i | ||||
\(721\) | −11.1846 | + | 10.6649i | −0.416536 | + | 0.397180i | ||||
\(722\) | −10.0350 | − | 30.8845i | −0.373464 | − | 1.14940i | ||||
\(723\) | −3.82609 | + | 1.70348i | −0.142294 | + | 0.0633532i | ||||
\(724\) | 6.37801 | + | 11.0470i | 0.237037 | + | 0.410560i | ||||
\(725\) | 15.1121 | + | 26.4484i | 0.561249 | + | 0.982269i | ||||
\(726\) | −5.94532 | + | 10.2976i | −0.220652 | + | 0.382180i | ||||
\(727\) | 3.83356 | + | 2.78524i | 0.142179 | + | 0.103299i | 0.656601 | − | 0.754238i | \(-0.271994\pi\) |
−0.514422 | + | 0.857537i | \(0.671994\pi\) | |||||||
\(728\) | −7.51713 | − | 2.20708i | −0.278604 | − | 0.0818000i | ||||
\(729\) | 0.309017 | + | 0.951057i | 0.0114451 | + | 0.0352243i | ||||
\(730\) | −18.6964 | + | 8.27392i | −0.691983 | + | 0.306232i | ||||
\(731\) | 2.98459 | − | 0.634394i | 0.110389 | − | 0.0234639i | ||||
\(732\) | 5.24280 | + | 9.08080i | 0.193780 | + | 0.335636i | ||||
\(733\) | 6.40718 | + | 7.11590i | 0.236655 | + | 0.262832i | 0.849760 | − | 0.527169i | \(-0.176747\pi\) |
−0.613106 | + | 0.790001i | \(0.710080\pi\) | |||||||
\(734\) | 6.17153 | − | 4.48388i | 0.227795 | − | 0.165503i | ||||
\(735\) | −4.01257 | + | 15.1294i | −0.148006 | + | 0.558057i | ||||
\(736\) | −16.5252 | − | 12.0063i | −0.609129 | − | 0.442558i | ||||
\(737\) | −0.145232 | − | 1.38179i | −0.00534968 | − | 0.0508988i | ||||
\(738\) | −2.98050 | − | 1.32700i | −0.109714 | − | 0.0488477i | ||||
\(739\) | 0.192946 | − | 1.83576i | 0.00709765 | − | 0.0675296i | −0.990400 | − | 0.138233i | \(-0.955858\pi\) |
0.997497 | + | 0.0707034i | \(0.0225244\pi\) | |||||||
\(740\) | 1.99350 | − | 3.43501i | 0.0732824 | − | 0.126273i | ||||
\(741\) | 5.47685 | − | 3.97916i | 0.201197 | − | 0.146178i | ||||
\(742\) | −4.92343 | − | 6.38458i | −0.180745 | − | 0.234385i | ||||
\(743\) | −2.40536 | −0.0882440 | −0.0441220 | − | 0.999026i | \(-0.514049\pi\) | ||||
−0.0441220 | + | 0.999026i | \(0.514049\pi\) | |||||||
\(744\) | 6.46980 | + | 7.18544i | 0.237194 | + | 0.263431i | ||||
\(745\) | −32.0963 | − | 14.3766i | −1.17592 | − | 0.526717i | ||||
\(746\) | 5.98657 | − | 6.64876i | 0.219184 | − | 0.243428i | ||||
\(747\) | −4.99154 | − | 1.06099i | −0.182631 | − | 0.0388194i | ||||
\(748\) | 0.0290279 | + | 0.0210900i | 0.00106137 | + | 0.000771127i | ||||
\(749\) | 15.9247 | + | 33.1818i | 0.581875 | + | 1.21244i | ||||
\(750\) | −12.1049 | − | 0.0815105i | −0.442010 | − | 0.00297634i | ||||
\(751\) | −5.50454 | + | 9.53414i | −0.200864 | + | 0.347906i | −0.948807 | − | 0.315857i | \(-0.897708\pi\) |
0.747943 | + | 0.663763i | \(0.231041\pi\) | |||||||
\(752\) | −0.0462469 | + | 0.440010i | −0.00168645 | + | 0.0160455i | ||||
\(753\) | −19.8878 | + | 22.0876i | −0.724752 | + | 0.804918i | ||||
\(754\) | −6.24033 | − | 1.32642i | −0.227260 | − | 0.0483055i | ||||
\(755\) | 18.4659 | − | 13.3530i | 0.672043 | − | 0.485967i | ||||
\(756\) | −0.833191 | + | 2.02522i | −0.0303028 | + | 0.0736566i | ||||
\(757\) | −0.911870 | −0.0331425 | −0.0165712 | − | 0.999863i | \(-0.505275\pi\) | ||||
−0.0165712 | + | 0.999863i | \(0.505275\pi\) | |||||||
\(758\) | 2.39431 | + | 2.65915i | 0.0869651 | + | 0.0965846i | ||||
\(759\) | −0.576009 | − | 0.256456i | −0.0209078 | − | 0.00930875i | ||||
\(760\) | 23.8661 | + | 41.5523i | 0.865713 | + | 1.50726i | ||||
\(761\) | 13.6858 | − | 6.09330i | 0.496109 | − | 0.220882i | −0.143401 | − | 0.989665i | \(-0.545804\pi\) |
0.639510 | + | 0.768783i | \(0.279137\pi\) | |||||||
\(762\) | −3.35813 | + | 2.43982i | −0.121652 | + | 0.0883855i | ||||
\(763\) | 1.05806 | − | 0.651876i | 0.0383044 | − | 0.0235995i | ||||
\(764\) | 2.92589 | + | 2.12579i | 0.105855 | + | 0.0769083i | ||||
\(765\) | 0.663716 | − | 0.293722i | 0.0239967 | − | 0.0106195i | ||||
\(766\) | 1.59195 | + | 0.708781i | 0.0575194 | + | 0.0256093i | ||||
\(767\) | −1.78929 | + | 0.380325i | −0.0646075 | + | 0.0137328i | ||||
\(768\) | 7.99664 | − | 13.8506i | 0.288554 | − | 0.499790i | ||||
\(769\) | 0.858552 | − | 2.64235i | 0.0309602 | − | 0.0952856i | −0.934382 | − | 0.356272i | \(-0.884048\pi\) |
0.965343 | + | 0.260986i | \(0.0840477\pi\) | |||||||
\(770\) | 0.155765 | − | 0.841154i | 0.00561339 | − | 0.0303131i | ||||
\(771\) | −7.57467 | − | 23.3124i | −0.272795 | − | 0.839577i | ||||
\(772\) | 10.0116 | + | 2.12804i | 0.360326 | + | 0.0765897i | ||||
\(773\) | −3.16891 | + | 30.1501i | −0.113978 | + | 1.08442i | 0.776725 | + | 0.629839i | \(0.216879\pi\) |
−0.890703 | + | 0.454585i | \(0.849787\pi\) | |||||||
\(774\) | −5.08901 | − | 8.81442i | −0.182921 | − | 0.316828i | ||||
\(775\) | 14.4541 | − | 6.35778i | 0.519206 | − | 0.228378i | ||||
\(776\) | 50.0889 | 1.79809 | ||||||||
\(777\) | 5.34716 | − | 1.90797i | 0.191828 | − | 0.0684481i | ||||
\(778\) | −4.12407 | − | 12.6926i | −0.147855 | − | 0.455051i | ||||
\(779\) | 20.6306 | + | 4.38517i | 0.739168 | + | 0.157115i | ||||
\(780\) | −1.20077 | + | 1.32759i | −0.0429946 | + | 0.0475353i | ||||
\(781\) | 1.44327 | − | 0.306776i | 0.0516443 | − | 0.0109773i | ||||
\(782\) | −0.829612 | + | 1.43693i | −0.0296669 | + | 0.0513845i | ||||
\(783\) | −1.88261 | + | 5.79409i | −0.0672791 | + | 0.207064i | ||||
\(784\) | 10.3248 | − | 5.32328i | 0.368743 | − | 0.190117i | ||||
\(785\) | −10.0937 | + | 7.29897i | −0.360261 | + | 0.260511i | ||||
\(786\) | −10.4178 | + | 4.63831i | −0.371591 | + | 0.165443i | ||||
\(787\) | −20.8078 | − | 9.26423i | −0.741718 | − | 0.330234i | 0.000854559 | − | 1.00000i | \(-0.499728\pi\) |
−0.742573 | + | 0.669765i | \(0.766395\pi\) | |||||||
\(788\) | 20.5534 | + | 9.15095i | 0.732184 | + | 0.325989i | ||||
\(789\) | −18.6677 | + | 8.31142i | −0.664589 | + | 0.295894i | ||||
\(790\) | −1.91233 | − | 5.93080i | −0.0680375 | − | 0.211008i | ||||
\(791\) | −1.21209 | − | 42.4023i | −0.0430971 | − | 1.50765i | ||||
\(792\) | 0.126351 | − | 0.388870i | 0.00448970 | − | 0.0138179i | ||||
\(793\) | −6.12621 | + | 10.6109i | −0.217548 | + | 0.376804i | ||||
\(794\) | −41.1834 | + | 8.75379i | −1.46154 | + | 0.310660i | ||||
\(795\) | −6.15879 | + | 1.29465i | −0.218430 | + | 0.0459165i | ||||
\(796\) | 18.3176 | + | 3.89352i | 0.649249 | + | 0.138002i | ||||
\(797\) | −7.30260 | − | 22.4751i | −0.258671 | − | 0.796109i | −0.993084 | − | 0.117406i | \(-0.962542\pi\) |
0.734413 | − | 0.678703i | \(-0.237458\pi\) | |||||||
\(798\) | −3.60669 | + | 19.7238i | −0.127676 | + | 0.698215i | ||||
\(799\) | −0.0865389 | −0.00306153 | ||||||||
\(800\) | −14.4027 | − | 16.1409i | −0.509211 | − | 0.570667i | ||||
\(801\) | −6.18892 | − | 10.7195i | −0.218675 | − | 0.378756i | ||||
\(802\) | 4.11171 | − | 39.1203i | 0.145190 | − | 1.38139i | ||||
\(803\) | −1.10317 | − | 0.234486i | −0.0389299 | − | 0.00827482i | ||||
\(804\) | −2.66098 | − | 8.18967i | −0.0938457 | − | 0.288827i | ||||
\(805\) | −27.8453 | − | 2.18718i | −0.981417 | − | 0.0770878i | ||||
\(806\) | −1.02196 | + | 3.14527i | −0.0359970 | + | 0.110787i | ||||
\(807\) | 10.0942 | − | 17.4837i | 0.355333 | − | 0.615455i | ||||
\(808\) | 0.00675327 | − | 0.00143545i | 0.000237579 | − | 5.04990e-5i | ||||
\(809\) | 23.8672 | + | 10.6264i | 0.839125 | + | 0.373603i | 0.780866 | − | 0.624699i | \(-0.214778\pi\) |
0.0582594 | + | 0.998301i | \(0.481445\pi\) | |||||||
\(810\) | −1.61595 | − | 1.80282i | −0.0567787 | − | 0.0633445i | ||||
\(811\) | −35.3596 | − | 25.6902i | −1.24164 | − | 0.902106i | −0.243935 | − | 0.969792i | \(-0.578438\pi\) |
−0.997707 | + | 0.0676858i | \(0.978438\pi\) | |||||||
\(812\) | −11.3588 | + | 6.99820i | −0.398616 | + | 0.245589i | ||||
\(813\) | −18.5143 | + | 13.4514i | −0.649323 | + | 0.471761i | ||||
\(814\) | −0.283460 | + | 0.126204i | −0.00993526 | + | 0.00442346i | ||||
\(815\) | 45.8430 | − | 9.63674i | 1.60581 | − | 0.337560i | ||||
\(816\) | −0.492080 | − | 0.219088i | −0.0172262 | − | 0.00766961i | ||||
\(817\) | 44.0274 | + | 48.8974i | 1.54032 | + | 1.71070i | ||||
\(818\) | −32.1019 | −1.12242 | ||||||||
\(819\) | −2.53621 | + | 0.340088i | −0.0886225 | + | 0.0118836i | ||||
\(820\) | −5.57704 | − | 0.0125178i | −0.194759 | − | 0.000437140i | ||||
\(821\) | −34.2046 | − | 7.27040i | −1.19375 | − | 0.253739i | −0.432157 | − | 0.901798i | \(-0.642247\pi\) |
−0.761590 | + | 0.648059i | \(0.775581\pi\) | |||||||
\(822\) | −3.91219 | + | 4.34493i | −0.136453 | + | 0.151547i | ||||
\(823\) | −2.90262 | + | 27.6166i | −0.101179 | + | 0.962655i | 0.819697 | + | 0.572798i | \(0.194142\pi\) |
−0.920876 | + | 0.389857i | \(0.872525\pi\) | |||||||
\(824\) | 8.94173 | − | 15.4875i | 0.311500 | − | 0.539534i | ||||
\(825\) | −0.538456 | − | 0.394916i | −0.0187466 | − | 0.0137492i | ||||
\(826\) | 3.05805 | − | 4.47243i | 0.106403 | − | 0.155616i | ||||
\(827\) | 3.72329 | + | 2.70513i | 0.129472 | + | 0.0940666i | 0.650636 | − | 0.759390i | \(-0.274502\pi\) |
−0.521165 | + | 0.853456i | \(0.674502\pi\) | |||||||
\(828\) | −3.82240 | − | 0.812476i | −0.132838 | − | 0.0282355i | ||||
\(829\) | 30.5879 | − | 33.9713i | 1.06236 | − | 1.17987i | 0.0792509 | − | 0.996855i | \(-0.474747\pi\) |
0.983110 | − | 0.183016i | \(-0.0585862\pi\) | |||||||
\(830\) | 12.0905 | − | 2.54156i | 0.419667 | − | 0.0882189i | ||||
\(831\) | −6.87483 | − | 7.63527i | −0.238485 | − | 0.264864i | ||||
\(832\) | 7.74068 | 0.268360 | ||||||||
\(833\) | 1.24661 | + | 1.89961i | 0.0431926 | + | 0.0658175i | ||||
\(834\) | −3.40431 | + | 2.47338i | −0.117882 | + | 0.0856461i | ||||
\(835\) | 16.4902 | + | 3.54379i | 0.570665 | + | 0.122638i | ||||
\(836\) | −0.0808769 | + | 0.769492i | −0.00279719 | + | 0.0266135i | ||||
\(837\) | 2.88508 | + | 1.28452i | 0.0997229 | + | 0.0443995i | ||||
\(838\) | −3.47190 | − | 33.0329i | −0.119935 | − | 1.14110i | ||||
\(839\) | 27.3116 | + | 19.8431i | 0.942902 | + | 0.685059i | 0.949118 | − | 0.314922i | \(-0.101978\pi\) |
−0.00621518 | + | 0.999981i | \(0.501978\pi\) | |||||||
\(840\) | −0.476915 | − | 18.1066i | −0.0164551 | − | 0.624735i | ||||
\(841\) | −6.56576 | + | 4.77031i | −0.226406 | + | 0.164493i | ||||
\(842\) | −25.1302 | − | 27.9099i | −0.866043 | − | 0.961838i | ||||
\(843\) | −15.0616 | − | 26.0874i | −0.518749 | − | 0.898499i | ||||
\(844\) | −0.110668 | + | 0.0235233i | −0.00380936 | + | 0.000809704i | ||||
\(845\) | 26.3750 | + | 5.66809i | 0.907328 | + | 0.194988i | ||||
\(846\) | 0.0892025 | + | 0.274537i | 0.00306684 | + | 0.00943878i | ||||
\(847\) | −21.0285 | + | 20.0514i | −0.722548 | + | 0.688973i | ||||
\(848\) | 3.77858 | + | 2.74530i | 0.129757 | + | 0.0942740i | ||||
\(849\) | 8.77323 | − | 15.1957i | 0.301096 | − | 0.521514i | ||||
\(850\) | −1.18165 | + | 1.30056i | −0.0405302 | + | 0.0446090i | ||||
\(851\) | 5.06549 | + | 8.77369i | 0.173643 | + | 0.300758i | ||||
\(852\) | 8.35422 | − | 3.71954i | 0.286211 | − | 0.127429i | ||||
\(853\) | 6.89010 | + | 21.2056i | 0.235913 | + | 0.726064i | 0.996999 | + | 0.0774138i | \(0.0246663\pi\) |
−0.761086 | + | 0.648650i | \(0.775334\pi\) | |||||||
\(854\) | −8.55622 | − | 35.2665i | −0.292788 | − | 1.20679i | ||||
\(855\) | 12.6415 | + | 9.22802i | 0.432331 | + | 0.315592i | ||||
\(856\) | −28.4986 | − | 31.6509i | −0.974063 | − | 1.08181i | ||||
\(857\) | −7.49783 | − | 12.9866i | −0.256121 | − | 0.443614i | 0.709078 | − | 0.705130i | \(-0.249111\pi\) |
−0.965199 | + | 0.261515i | \(0.915778\pi\) | |||||||
\(858\) | 0.136796 | − | 0.0290769i | 0.00467015 | − | 0.000992670i | ||||
\(859\) | −0.475486 | − | 4.52395i | −0.0162234 | − | 0.154355i | 0.983411 | − | 0.181391i | \(-0.0580599\pi\) |
−0.999634 | + | 0.0270357i | \(0.991393\pi\) | |||||||
\(860\) | −14.0526 | − | 10.2581i | −0.479190 | − | 0.349798i | ||||
\(861\) | −6.07467 | − | 5.16312i | −0.207024 | − | 0.175959i | ||||
\(862\) | 5.78566 | − | 4.20353i | 0.197060 | − | 0.143173i | ||||
\(863\) | 4.32320 | + | 41.1325i | 0.147163 | + | 1.40017i | 0.779951 | + | 0.625841i | \(0.215244\pi\) |
−0.632787 | + | 0.774326i | \(0.718089\pi\) | |||||||
\(864\) | 0.452243 | − | 4.30280i | 0.0153856 | − | 0.146384i | ||||
\(865\) | −3.43187 | − | 5.97510i | −0.116687 | − | 0.203160i | ||||
\(866\) | 2.39483 | + | 22.7853i | 0.0813797 | + | 0.774277i | ||||
\(867\) | −5.22073 | + | 16.0678i | −0.177305 | + | 0.545690i | ||||
\(868\) | 2.99237 | + | 6.23512i | 0.101568 | + | 0.211634i | ||||
\(869\) | 0.106223 | − | 0.326919i | 0.00360335 | − | 0.0110900i | ||||
\(870\) | −1.50883 | − | 14.6723i | −0.0511541 | − | 0.497436i | ||||
\(871\) | 6.73286 | − | 7.47759i | 0.228134 | − | 0.253369i | ||||
\(872\) | −0.962275 | + | 1.06871i | −0.0325868 | + | 0.0361913i | ||||
\(873\) | 14.9458 | − | 6.65430i | 0.505839 | − | 0.225214i | ||||
\(874\) | −35.7797 | −1.21027 | ||||||||
\(875\) | −28.3256 | − | 8.52418i | −0.957579 | − | 0.288170i | ||||
\(876\) | −6.98988 | −0.236166 | ||||||||
\(877\) | −14.0828 | + | 6.27006i | −0.475542 | + | 0.211725i | −0.630489 | − | 0.776198i | \(-0.717146\pi\) |
0.154948 | + | 0.987923i | \(0.450479\pi\) | |||||||
\(878\) | 17.0463 | − | 18.9319i | 0.575286 | − | 0.638920i | ||||
\(879\) | −11.7293 | + | 13.0267i | −0.395618 | + | 0.439378i | ||||
\(880\) | 0.0506944 | + | 0.492966i | 0.00170891 | + | 0.0166179i | ||||
\(881\) | −0.890636 | + | 2.74109i | −0.0300063 | + | 0.0923498i | −0.964938 | − | 0.262478i | \(-0.915460\pi\) |
0.934932 | + | 0.354827i | \(0.115460\pi\) | |||||||
\(882\) | 4.74136 | − | 5.91284i | 0.159650 | − | 0.199096i | ||||
\(883\) | 11.0739 | − | 34.0819i | 0.372666 | − | 1.14695i | −0.572373 | − | 0.819993i | \(-0.693977\pi\) |
0.945040 | − | 0.326956i | \(-0.106023\pi\) | |||||||
\(884\) | 0.0271615 | + | 0.258425i | 0.000913541 | + | 0.00869176i | ||||
\(885\) | −2.10636 | − | 3.66730i | −0.0708044 | − | 0.123275i | ||||
\(886\) | −1.96681 | + | 18.7129i | −0.0660762 | + | 0.628673i | ||||
\(887\) | 2.34569 | + | 22.3178i | 0.0787607 | + | 0.749358i | 0.960624 | + | 0.277853i | \(0.0896227\pi\) |
−0.881863 | + | 0.471506i | \(0.843711\pi\) | |||||||
\(888\) | −5.31506 | + | 3.86162i | −0.178362 | + | 0.129587i | ||||
\(889\) | −9.55318 | + | 3.40876i | −0.320403 | + | 0.114326i | ||||
\(890\) | 24.2045 | + | 17.6687i | 0.811335 | + | 0.592257i | ||||
\(891\) | −0.0139598 | − | 0.132819i | −0.000467672 | − | 0.00444960i | ||||
\(892\) | −2.57622 | + | 0.547593i | −0.0862584 | + | 0.0183348i | ||||
\(893\) | −0.933068 | − | 1.61612i | −0.0312239 | − | 0.0540814i | ||||
\(894\) | 11.3947 | + | 12.6551i | 0.381096 | + | 0.423250i | ||||
\(895\) | −8.05433 | − | 5.87948i | −0.269227 | − | 0.196529i | ||||
\(896\) | −0.0237704 | + | 0.0226659i | −0.000794114 | + | 0.000757213i | ||||
\(897\) | −1.41105 | − | 4.34277i | −0.0471136 | − | 0.145001i | ||||
\(898\) | 15.7341 | − | 7.00528i | 0.525054 | − | 0.233769i | ||||
\(899\) | 9.62003 | + | 16.6624i | 0.320846 | + | 0.555722i | ||||
\(900\) | −3.77316 | − | 1.70026i | −0.125772 | − | 0.0566752i | ||||
\(901\) | −0.456777 | + | 0.791162i | −0.0152175 | + | 0.0263574i | ||||
\(902\) | 0.352502 | + | 0.256108i | 0.0117370 | + | 0.00852746i | ||||
\(903\) | −5.86401 | − | 24.1699i | −0.195142 | − | 0.804324i | ||||
\(904\) | 15.1689 | + | 46.6849i | 0.504508 | + | 1.55272i | ||||
\(905\) | −33.6913 | − | 7.24038i | −1.11994 | − | 0.240678i | ||||
\(906\) | −10.7930 | + | 2.29413i | −0.358574 | + | 0.0762173i | ||||
\(907\) | 11.8556 | + | 20.5346i | 0.393660 | + | 0.681839i | 0.992929 | − | 0.118709i | \(-0.0378754\pi\) |
−0.599269 | + | 0.800548i | \(0.704542\pi\) | |||||||
\(908\) | −9.94904 | − | 11.0495i | −0.330170 | − | 0.366691i | ||||
\(909\) | 0.00182438 | − | 0.00132549i | 6.05108e−5 | − | 4.39637e-5i | ||||
\(910\) | 5.28182 | − | 3.23782i | 0.175091 | − | 0.107333i | ||||
\(911\) | −29.7608 | − | 21.6225i | −0.986019 | − | 0.716384i | −0.0269730 | − | 0.999636i | \(-0.508587\pi\) |
−0.959046 | + | 0.283252i | \(0.908587\pi\) | |||||||
\(912\) | −1.21415 | − | 11.5518i | −0.0402045 | − | 0.382520i | ||||
\(913\) | 0.622596 | + | 0.277198i | 0.0206049 | + | 0.00917390i | ||||
\(914\) | 0.746203 | − | 7.09965i | 0.0246822 | − | 0.234836i | ||||
\(915\) | −27.6947 | − | 5.95169i | −0.915558 | − | 0.196757i | ||||
\(916\) | 14.3194 | − | 10.4037i | 0.473127 | − | 0.343747i | ||||
\(917\) | −27.6190 | + | 3.70350i | −0.912059 | + | 0.122301i | ||||
\(918\) | −0.351441 | −0.0115993 | ||||||||
\(919\) | −21.8575 | − | 24.2752i | −0.721013 | − | 0.800766i | 0.265559 | − | 0.964095i | \(-0.414443\pi\) |
−0.986572 | + | 0.163329i | \(0.947777\pi\) | |||||||
\(920\) | 31.6301 | − | 6.64903i | 1.04281 | − | 0.219212i | ||||
\(921\) | 8.15695 | − | 9.05921i | 0.268781 | − | 0.298511i | ||||
\(922\) | −3.24348 | − | 0.689423i | −0.106818 | − | 0.0227050i | ||||
\(923\) | 8.64494 | + | 6.28092i | 0.284552 | + | 0.206739i | ||||
\(924\) | 0.165075 | − | 0.241424i | 0.00543057 | − | 0.00794227i | ||||
\(925\) | 3.26967 | + | 10.2189i | 0.107506 | + | 0.335995i | ||||
\(926\) | 20.2117 | − | 35.0077i | 0.664198 | − | 1.15042i | ||||
\(927\) | 0.610567 | − | 5.80916i | 0.0200537 | − | 0.190798i | ||||
\(928\) | 17.6371 | − | 19.5880i | 0.578966 | − | 0.643007i | ||||
\(929\) | 7.97249 | + | 1.69460i | 0.261569 | + | 0.0555982i | 0.336829 | − | 0.941566i | \(-0.390645\pi\) |
−0.0752604 | + | 0.997164i | \(0.523979\pi\) | |||||||
\(930\) | −7.64591 | − | 0.0171614i | −0.250719 | − | 0.000562745i | ||||
\(931\) | −22.0343 | + | 43.7623i | −0.722145 | + | 1.43425i | ||||
\(932\) | 9.88151 | 0.323679 | ||||||||
\(933\) | 9.14337 | + | 10.1547i | 0.299340 | + | 0.332451i | ||||
\(934\) | −27.2494 | − | 12.1322i | −0.891626 | − | 0.396977i | ||||
\(935\) | −0.0948583 | + | 0.0199403i | −0.00310220 | + | 0.000652118i | ||||
\(936\) | 2.70514 | − | 1.20440i | 0.0884202 | − | 0.0393672i | ||||
\(937\) | −1.92711 | + | 1.40013i | −0.0629560 | + | 0.0457402i | −0.618818 | − | 0.785534i | \(-0.712388\pi\) |
0.555862 | + | 0.831274i | \(0.312388\pi\) | |||||||
\(938\) | 0.851565 | + | 29.7900i | 0.0278046 | + | 0.972679i | ||||
\(939\) | 11.7758 | + | 8.55560i | 0.384288 | + | 0.279201i | ||||
\(940\) | 0.329356 | + | 0.367443i | 0.0107424 | + | 0.0119847i | ||||
\(941\) | 39.9968 | + | 17.8077i | 1.30386 | + | 0.580515i | 0.936860 | − | 0.349706i | \(-0.113718\pi\) |
0.366999 | + | 0.930221i | \(0.380385\pi\) | |||||||
\(942\) | 5.89963 | − | 1.25400i | 0.192220 | − | 0.0408577i | ||||
\(943\) | 7.11319 | − | 12.3204i | 0.231637 | − | 0.401208i | ||||
\(944\) | −0.969890 | + | 2.98502i | −0.0315672 | + | 0.0971540i | ||||
\(945\) | −2.54776 | − | 5.33938i | −0.0828785 | − | 0.173690i | ||||
\(946\) | 0.420040 | + | 1.29275i | 0.0136567 | + | 0.0420310i | ||||
\(947\) | −6.12094 | − | 1.30105i | −0.198904 | − | 0.0422783i | 0.107382 | − | 0.994218i | \(-0.465753\pi\) |
−0.306286 | + | 0.951939i | \(0.599086\pi\) | |||||||
\(948\) | 0.222690 | − | 2.11876i | 0.00723265 | − | 0.0688141i | ||||
\(949\) | −4.08384 | − | 7.07342i | −0.132567 | − | 0.229613i | ||||
\(950\) | −37.0288 | − | 8.04461i | −1.20137 | − | 0.261001i | ||||
\(951\) | −16.8147 | −0.545255 | ||||||||
\(952\) | −2.00340 | − | 1.70278i | −0.0649307 | − | 0.0551873i | ||||
\(953\) | 11.0113 | + | 33.8894i | 0.356693 | + | 1.09779i | 0.955022 | + | 0.296536i | \(0.0958316\pi\) |
−0.598329 | + | 0.801251i | \(0.704168\pi\) | |||||||
\(954\) | 2.98073 | + | 0.633573i | 0.0965046 | + | 0.0205127i | ||||
\(955\) | −9.56133 | + | 2.00990i | −0.309397 | + | 0.0650389i | ||||
\(956\) | −6.89714 | + | 1.46603i | −0.223069 | + | 0.0474149i | ||||
\(957\) | 0.406813 | − | 0.704620i | 0.0131504 | − | 0.0227771i | ||||
\(958\) | −7.90467 | + | 24.3281i | −0.255388 | + | 0.786004i | ||||
\(959\) | −12.1637 | + | 7.49412i | −0.392787 | + | 0.241998i | ||||
\(960\) | 5.49197 | + | 17.0325i | 0.177252 | + | 0.549722i | ||||
\(961\) | −19.2085 | + | 8.55218i | −0.619629 | + | 0.275877i | ||||
\(962\) | −2.05283 | − | 0.913978i | −0.0661858 | − | 0.0294678i | ||||
\(963\) | −12.7084 | − | 5.65814i | −0.409522 | − | 0.182331i | ||||
\(964\) | 3.16689 | − | 1.40999i | 0.101999 | − | 0.0454127i | ||||
\(965\) | −22.4063 | + | 16.2024i | −0.721285 | + | 0.521575i | ||||
\(966\) | 11.9010 | + | 6.42479i | 0.382907 | + | 0.206714i | ||||
\(967\) | 12.1480 | − | 37.3877i | 0.390654 | − | 1.20231i | −0.541642 | − | 0.840609i | \(-0.682197\pi\) |
0.932295 | − | 0.361698i | \(-0.117803\pi\) | |||||||
\(968\) | 16.8116 | − | 29.1186i | 0.540347 | − | 0.935908i | ||||
\(969\) | 2.22231 | − | 0.472367i | 0.0713909 | − | 0.0151746i | ||||
\(970\) | −26.5695 | + | 29.3755i | −0.853094 | + | 0.943191i | ||||
\(971\) | 51.8079 | + | 11.0121i | 1.66260 | + | 0.353396i | 0.940866 | − | 0.338779i | \(-0.110014\pi\) |
0.721730 | + | 0.692175i | \(0.243347\pi\) | |||||||
\(972\) | −0.255777 | − | 0.787199i | −0.00820404 | − | 0.0252494i | ||||
\(973\) | −9.68456 | + | 3.45564i | −0.310473 | + | 0.110783i | ||||
\(974\) | −15.4100 | −0.493770 | ||||||||
\(975\) | −0.483894 | − | 4.81162i | −0.0154970 | − | 0.154095i | ||||
\(976\) | 10.5113 | + | 18.2061i | 0.336458 | + | 0.582763i | ||||
\(977\) | 5.35430 | − | 50.9427i | 0.171299 | − | 1.62980i | −0.484447 | − | 0.874821i | \(-0.660979\pi\) |
0.655746 | − | 0.754982i | \(-0.272354\pi\) | |||||||
\(978\) | −22.1870 | − | 4.71600i | −0.709464 | − | 0.150801i | ||||
\(979\) | 0.510826 | + | 1.57216i | 0.0163261 | + | 0.0502465i | ||||
\(980\) | 3.32125 | − | 12.5228i | 0.106093 | − | 0.400025i | ||||
\(981\) | −0.145150 | + | 0.446727i | −0.00463430 | + | 0.0142629i | ||||
\(982\) | −15.5284 | + | 26.8960i | −0.495531 | + | 0.858284i | ||||
\(983\) | 57.9412 | − | 12.3158i | 1.84804 | − | 0.392812i | 0.855814 | − | 0.517284i | \(-0.173057\pi\) |
0.992223 | + | 0.124472i | \(0.0397236\pi\) | |||||||
\(984\) | 8.42798 | + | 3.75238i | 0.268674 | + | 0.119622i | ||||
\(985\) | −55.5805 | + | 24.5967i | −1.77094 | + | 0.783716i | ||||
\(986\) | −1.73216 | − | 1.25849i | −0.0551633 | − | 0.0400785i | ||||
\(987\) | 0.0201556 | + | 0.705097i | 0.000641560 | + | 0.0224435i | ||||
\(988\) | −4.53324 | + | 3.29359i | −0.144222 | + | 0.104783i | ||||
\(989\) | 40.5442 | − | 18.0515i | 1.28923 | − | 0.574003i | ||||
\(990\) | 0.161037 | + | 0.280375i | 0.00511809 | + | 0.00891092i | ||||
\(991\) | 19.3669 | + | 8.62270i | 0.615210 | + | 0.273909i | 0.690591 | − | 0.723246i | \(-0.257351\pi\) |
−0.0753807 | + | 0.997155i | \(0.524017\pi\) | |||||||
\(992\) | −9.14272 | − | 10.1540i | −0.290282 | − | 0.322390i | ||||
\(993\) | −26.5278 | −0.841835 | ||||||||
\(994\) | −31.3685 | + | 4.20629i | −0.994950 | + | 0.133415i | ||||
\(995\) | −40.9953 | + | 29.6445i | −1.29964 | + | 0.939794i | ||||
\(996\) | 4.13155 | + | 0.878189i | 0.130913 | + | 0.0278265i | ||||
\(997\) | −12.2338 | + | 13.5870i | −0.387447 | + | 0.430304i | −0.905042 | − | 0.425322i | \(-0.860161\pi\) |
0.517595 | + | 0.855626i | \(0.326828\pi\) | |||||||
\(998\) | −1.90363 | + | 18.1118i | −0.0602583 | + | 0.573319i | ||||
\(999\) | −1.07292 | + | 1.85836i | −0.0339458 | + | 0.0587958i |
(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 | 525.2.bg.b.16.7 | ✓ | 160 | |
7.4 | even | 3 | inner | 525.2.bg.b.466.14 | yes | 160 | |
25.11 | even | 5 | inner | 525.2.bg.b.436.14 | yes | 160 | |
175.11 | even | 15 | inner | 525.2.bg.b.361.7 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
525.2.bg.b.16.7 | ✓ | 160 | 1.1 | even | 1 | trivial | |
525.2.bg.b.361.7 | yes | 160 | 175.11 | even | 15 | inner | |
525.2.bg.b.436.14 | yes | 160 | 25.11 | even | 5 | inner | |
525.2.bg.b.466.14 | yes | 160 | 7.4 | even | 3 | inner |