Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [230,2,Mod(7,230)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(230, base_ring=CyclotomicField(44))
chi = DirichletCharacter(H, H._module([11, 38]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("230.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 230 = 2 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 230.l (of order \(44\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.83655924649\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{44})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{44}]$ |
Embedding invariants
Embedding label | 103.4 | ||
Character | \(\chi\) | \(=\) | 230.103 |
Dual form | 230.2.l.a.67.4 |
$q$-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 \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{9}{22}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.212565 | + | 0.977147i | −0.150306 | + | 0.690947i | ||||
\(3\) | 0.628000 | − | 0.470115i | 0.362576 | − | 0.271421i | −0.402421 | − | 0.915455i | \(-0.631831\pi\) |
0.764997 | + | 0.644034i | \(0.222740\pi\) | |||||||
\(4\) | −0.909632 | − | 0.415415i | −0.454816 | − | 0.207708i | ||||
\(5\) | 2.20366 | − | 0.379326i | 0.985506 | − | 0.169640i | ||||
\(6\) | 0.325880 | + | 0.713578i | 0.133040 | + | 0.291317i | ||||
\(7\) | 0.119361 | − | 1.66889i | 0.0451143 | − | 0.630781i | −0.923720 | − | 0.383070i | \(-0.874867\pi\) |
0.968834 | − | 0.247711i | \(-0.0796785\pi\) | |||||||
\(8\) | 0.599278 | − | 0.800541i | 0.211877 | − | 0.283034i | ||||
\(9\) | −0.671822 | + | 2.28802i | −0.223941 | + | 0.762672i | ||||
\(10\) | −0.0977645 | + | 2.23393i | −0.0309158 | + | 0.706431i | ||||
\(11\) | 2.43931 | − | 3.79564i | 0.735480 | − | 1.14443i | −0.248926 | − | 0.968522i | \(-0.580078\pi\) |
0.984407 | − | 0.175907i | \(-0.0562860\pi\) | |||||||
\(12\) | −0.766541 | + | 0.166751i | −0.221281 | + | 0.0481368i | ||||
\(13\) | 1.69134 | − | 0.120967i | 0.469094 | − | 0.0335503i | 0.165208 | − | 0.986259i | \(-0.447170\pi\) |
0.303886 | + | 0.952708i | \(0.401716\pi\) | |||||||
\(14\) | 1.60538 | + | 0.471382i | 0.429055 | + | 0.125982i | ||||
\(15\) | 1.20557 | − | 1.27419i | 0.311277 | − | 0.328994i | ||||
\(16\) | 0.654861 | + | 0.755750i | 0.163715 | + | 0.188937i | ||||
\(17\) | −1.34248 | + | 3.59932i | −0.325598 | + | 0.872963i | 0.666272 | + | 0.745709i | \(0.267889\pi\) |
−0.991870 | + | 0.127254i | \(0.959384\pi\) | |||||||
\(18\) | −2.09292 | − | 1.14282i | −0.493306 | − | 0.269366i | ||||
\(19\) | −1.30471 | + | 2.85692i | −0.299321 | + | 0.655421i | −0.998210 | − | 0.0598088i | \(-0.980951\pi\) |
0.698889 | + | 0.715230i | \(0.253678\pi\) | |||||||
\(20\) | −2.16210 | − | 0.570386i | −0.483459 | − | 0.127542i | ||||
\(21\) | −0.709611 | − | 1.10418i | −0.154850 | − | 0.240951i | ||||
\(22\) | 3.19039 | + | 3.19039i | 0.680193 | + | 0.680193i | ||||
\(23\) | 2.54688 | − | 4.06367i | 0.531061 | − | 0.847334i | ||||
\(24\) | − | 0.784469i | − | 0.160129i | ||||||
\(25\) | 4.71222 | − | 1.67181i | 0.942445 | − | 0.334362i | ||||
\(26\) | −0.241318 | + | 1.67840i | −0.0473263 | + | 0.329162i | ||||
\(27\) | 1.47616 | + | 3.95773i | 0.284087 | + | 0.761665i | ||||
\(28\) | −0.801857 | + | 1.46849i | −0.151537 | + | 0.277519i | ||||
\(29\) | −8.84904 | + | 4.04122i | −1.64323 | + | 0.750436i | −0.999885 | − | 0.0151438i | \(-0.995179\pi\) |
−0.643341 | + | 0.765580i | \(0.722452\pi\) | |||||||
\(30\) | 0.988807 | + | 1.44887i | 0.180531 | + | 0.264526i | ||||
\(31\) | 1.11608 | + | 7.76254i | 0.200455 | + | 1.39419i | 0.802938 | + | 0.596062i | \(0.203269\pi\) |
−0.602484 | + | 0.798131i | \(0.705822\pi\) | |||||||
\(32\) | −0.877679 | + | 0.479249i | −0.155153 | + | 0.0847201i | ||||
\(33\) | −0.252501 | − | 3.53042i | −0.0439547 | − | 0.614567i | ||||
\(34\) | −3.23170 | − | 2.07689i | −0.554232 | − | 0.356183i | ||||
\(35\) | −0.370021 | − | 3.72294i | −0.0625450 | − | 0.629292i | ||||
\(36\) | 1.56159 | − | 1.80217i | 0.260264 | − | 0.300361i | ||||
\(37\) | −5.70496 | − | 10.4478i | −0.937889 | − | 1.71762i | −0.649968 | − | 0.759962i | \(-0.725218\pi\) |
−0.287921 | − | 0.957654i | \(-0.592964\pi\) | |||||||
\(38\) | −2.51429 | − | 1.88217i | −0.407872 | − | 0.305329i | ||||
\(39\) | 1.00529 | − | 0.871092i | 0.160976 | − | 0.139486i | ||||
\(40\) | 1.01694 | − | 1.99144i | 0.160792 | − | 0.314874i | ||||
\(41\) | −7.18190 | + | 2.10880i | −1.12162 | + | 0.329339i | −0.789411 | − | 0.613865i | \(-0.789614\pi\) |
−0.332214 | + | 0.943204i | \(0.607796\pi\) | |||||||
\(42\) | 1.22978 | − | 0.458684i | 0.189759 | − | 0.0707765i | ||||
\(43\) | −3.02338 | − | 4.03876i | −0.461061 | − | 0.615906i | 0.508409 | − | 0.861116i | \(-0.330234\pi\) |
−0.969470 | + | 0.245210i | \(0.921143\pi\) | |||||||
\(44\) | −3.79564 | + | 2.43931i | −0.572215 | + | 0.367740i | ||||
\(45\) | −0.612563 | + | 5.29684i | −0.0913155 | + | 0.789607i | ||||
\(46\) | 3.42943 | + | 3.35247i | 0.505641 | + | 0.494294i | ||||
\(47\) | 2.25984 | − | 2.25984i | 0.329631 | − | 0.329631i | −0.522815 | − | 0.852446i | \(-0.675118\pi\) |
0.852446 | + | 0.522815i | \(0.175118\pi\) | |||||||
\(48\) | 0.766541 | + | 0.166751i | 0.110641 | + | 0.0240684i | ||||
\(49\) | 4.15780 | + | 0.597802i | 0.593972 | + | 0.0854003i | ||||
\(50\) | 0.631947 | + | 4.95990i | 0.0893709 | + | 0.701436i | ||||
\(51\) | 0.849018 | + | 2.89149i | 0.118886 | + | 0.404889i | ||||
\(52\) | −1.58875 | − | 0.592573i | −0.220320 | − | 0.0821751i | ||||
\(53\) | −4.53344 | − | 0.324238i | −0.622715 | − | 0.0445375i | −0.243583 | − | 0.969880i | \(-0.578323\pi\) |
−0.379132 | + | 0.925343i | \(0.623777\pi\) | |||||||
\(54\) | −4.18106 | + | 0.601146i | −0.568971 | + | 0.0818056i | ||||
\(55\) | 3.93563 | − | 9.28960i | 0.530680 | − | 1.25261i | ||||
\(56\) | −1.26448 | − | 1.09568i | −0.168974 | − | 0.146417i | ||||
\(57\) | 0.523721 | + | 2.40751i | 0.0693685 | + | 0.318882i | ||||
\(58\) | −2.06787 | − | 9.50584i | −0.271524 | − | 1.24818i | ||||
\(59\) | −5.22049 | − | 4.52358i | −0.679650 | − | 0.588921i | 0.245098 | − | 0.969498i | \(-0.421180\pi\) |
−0.924749 | + | 0.380578i | \(0.875725\pi\) | |||||||
\(60\) | −1.62594 | + | 0.658231i | −0.209908 | + | 0.0849772i | ||||
\(61\) | 3.12421 | − | 0.449194i | 0.400014 | − | 0.0575134i | 0.0606279 | − | 0.998160i | \(-0.480690\pi\) |
0.339386 | + | 0.940647i | \(0.389781\pi\) | |||||||
\(62\) | −7.82238 | − | 0.559468i | −0.993444 | − | 0.0710525i | ||||
\(63\) | 3.73825 | + | 1.39430i | 0.470976 | + | 0.175665i | ||||
\(64\) | −0.281733 | − | 0.959493i | −0.0352166 | − | 0.119937i | ||||
\(65\) | 3.68125 | − | 0.908140i | 0.456603 | − | 0.112641i | ||||
\(66\) | 3.50341 | + | 0.503715i | 0.431240 | + | 0.0620030i | ||||
\(67\) | 0.601491 | + | 0.130846i | 0.0734838 | + | 0.0159854i | 0.249157 | − | 0.968463i | \(-0.419847\pi\) |
−0.175673 | + | 0.984449i | \(0.556210\pi\) | |||||||
\(68\) | 2.71637 | − | 2.71637i | 0.329408 | − | 0.329408i | ||||
\(69\) | −0.310953 | − | 3.74931i | −0.0374344 | − | 0.451364i | ||||
\(70\) | 3.71651 | + | 0.429803i | 0.444208 | + | 0.0513713i | ||||
\(71\) | −9.57147 | + | 6.15121i | −1.13592 | + | 0.730015i | −0.966788 | − | 0.255578i | \(-0.917734\pi\) |
−0.169137 | + | 0.985593i | \(0.554098\pi\) | |||||||
\(72\) | 1.42904 | + | 1.90898i | 0.168414 | + | 0.224975i | ||||
\(73\) | −3.89390 | + | 1.45235i | −0.455747 | + | 0.169985i | −0.566845 | − | 0.823825i | \(-0.691836\pi\) |
0.111098 | + | 0.993809i | \(0.464563\pi\) | |||||||
\(74\) | 11.4218 | − | 3.35373i | 1.32775 | − | 0.389863i | ||||
\(75\) | 2.17333 | − | 3.26518i | 0.250955 | − | 0.377031i | ||||
\(76\) | 2.37361 | − | 2.05675i | 0.272272 | − | 0.235925i | ||||
\(77\) | −6.04335 | − | 4.52400i | −0.688704 | − | 0.515557i | ||||
\(78\) | 0.637494 | + | 1.16748i | 0.0721820 | + | 0.132191i | ||||
\(79\) | 1.72151 | − | 1.98673i | 0.193685 | − | 0.223524i | −0.650598 | − | 0.759423i | \(-0.725482\pi\) |
0.844282 | + | 0.535898i | \(0.180027\pi\) | |||||||
\(80\) | 1.72976 | + | 1.41701i | 0.193394 | + | 0.158426i | ||||
\(81\) | −3.23057 | − | 2.07616i | −0.358952 | − | 0.230684i | ||||
\(82\) | −0.533981 | − | 7.46603i | −0.0589684 | − | 0.824485i | ||||
\(83\) | −3.89079 | + | 2.12453i | −0.427069 | + | 0.233197i | −0.678383 | − | 0.734708i | \(-0.737319\pi\) |
0.251314 | + | 0.967906i | \(0.419137\pi\) | |||||||
\(84\) | 0.186793 | + | 1.29918i | 0.0203808 | + | 0.141752i | ||||
\(85\) | −1.59305 | + | 8.44091i | −0.172790 | + | 0.915545i | ||||
\(86\) | 4.58913 | − | 2.09579i | 0.494859 | − | 0.225994i | ||||
\(87\) | −3.65736 | + | 6.69795i | −0.392110 | + | 0.718096i | ||||
\(88\) | −1.57674 | − | 4.22742i | −0.168082 | − | 0.450644i | ||||
\(89\) | −1.31973 | + | 9.17890i | −0.139891 | + | 0.972962i | 0.792077 | + | 0.610421i | \(0.209000\pi\) |
−0.931968 | + | 0.362541i | \(0.881909\pi\) | |||||||
\(90\) | −5.04558 | − | 1.72449i | −0.531851 | − | 0.181777i | ||||
\(91\) | − | 2.83710i | − | 0.297409i | ||||||
\(92\) | −4.00483 | + | 2.63843i | −0.417532 | + | 0.275076i | ||||
\(93\) | 4.35019 | + | 4.35019i | 0.451093 | + | 0.451093i | ||||
\(94\) | 1.72783 | + | 2.68855i | 0.178212 | + | 0.277303i | ||||
\(95\) | −1.79143 | + | 6.79058i | −0.183797 | + | 0.696699i | ||||
\(96\) | −0.325880 | + | 0.713578i | −0.0332600 | + | 0.0728292i | ||||
\(97\) | −1.16548 | − | 0.636402i | −0.118337 | − | 0.0646168i | 0.418990 | − | 0.907991i | \(-0.362384\pi\) |
−0.537327 | + | 0.843374i | \(0.680566\pi\) | |||||||
\(98\) | −1.46795 | + | 3.93571i | −0.148285 | + | 0.397567i | ||||
\(99\) | 7.04571 | + | 8.13118i | 0.708120 | + | 0.817214i | ||||
\(100\) | −4.98088 | − | 0.436798i | −0.498088 | − | 0.0436798i | ||||
\(101\) | 8.36550 | + | 2.45633i | 0.832399 | + | 0.244414i | 0.670047 | − | 0.742319i | \(-0.266274\pi\) |
0.162352 | + | 0.986733i | \(0.448092\pi\) | |||||||
\(102\) | −3.00588 | + | 0.214985i | −0.297627 | + | 0.0212867i | ||||
\(103\) | 10.4207 | − | 2.26689i | 1.02678 | − | 0.223363i | 0.332530 | − | 0.943093i | \(-0.392098\pi\) |
0.694254 | + | 0.719730i | \(0.255734\pi\) | |||||||
\(104\) | 0.916744 | − | 1.42648i | 0.0898942 | − | 0.139878i | ||||
\(105\) | −1.98258 | − | 2.16405i | −0.193480 | − | 0.211190i | ||||
\(106\) | 1.28048 | − | 4.36091i | 0.124371 | − | 0.423569i | ||||
\(107\) | −1.22468 | + | 1.63598i | −0.118394 | + | 0.158156i | −0.855823 | − | 0.517269i | \(-0.826949\pi\) |
0.737429 | + | 0.675425i | \(0.236040\pi\) | |||||||
\(108\) | 0.301341 | − | 4.21330i | 0.0289965 | − | 0.405425i | ||||
\(109\) | 7.92219 | + | 17.3472i | 0.758808 | + | 1.66156i | 0.749859 | + | 0.661598i | \(0.230121\pi\) |
0.00894881 | + | 0.999960i | \(0.497151\pi\) | |||||||
\(110\) | 8.24073 | + | 5.82033i | 0.785722 | + | 0.554947i | ||||
\(111\) | −8.49440 | − | 3.87926i | −0.806253 | − | 0.368203i | ||||
\(112\) | 1.33943 | − | 1.00268i | 0.126564 | − | 0.0947446i | ||||
\(113\) | −2.14680 | + | 9.86869i | −0.201954 | + | 0.928368i | 0.758877 | + | 0.651234i | \(0.225748\pi\) |
−0.960831 | + | 0.277134i | \(0.910615\pi\) | |||||||
\(114\) | −2.46381 | −0.230757 | ||||||||
\(115\) | 4.07099 | − | 9.92104i | 0.379622 | − | 0.925142i | ||||
\(116\) | 9.72816 | 0.903237 | ||||||||
\(117\) | −0.859506 | + | 3.95108i | −0.0794613 | + | 0.365278i | ||||
\(118\) | 5.52990 | − | 4.13963i | 0.509069 | − | 0.381084i | ||||
\(119\) | 5.84663 | + | 2.67006i | 0.535959 | + | 0.244764i | ||||
\(120\) | −0.297569 | − | 1.72870i | −0.0271642 | − | 0.157808i | ||||
\(121\) | −3.88711 | − | 8.51158i | −0.353373 | − | 0.773780i | ||||
\(122\) | −0.225171 | + | 3.14830i | −0.0203860 | + | 0.285033i | ||||
\(123\) | −3.51886 | + | 4.70064i | −0.317285 | + | 0.423843i | ||||
\(124\) | 2.20945 | − | 7.52469i | 0.198414 | − | 0.675737i | ||||
\(125\) | 9.74997 | − | 5.47156i | 0.872064 | − | 0.489392i | ||||
\(126\) | −2.15706 | + | 3.35644i | −0.192166 | + | 0.299016i | ||||
\(127\) | 20.1526 | − | 4.38394i | 1.78826 | − | 0.389012i | 0.808389 | − | 0.588649i | \(-0.200340\pi\) |
0.979870 | + | 0.199637i | \(0.0639764\pi\) | |||||||
\(128\) | 0.997452 | − | 0.0713392i | 0.0881631 | − | 0.00630555i | ||||
\(129\) | −3.79736 | − | 1.11501i | −0.334339 | − | 0.0981708i | ||||
\(130\) | 0.104879 | + | 3.79017i | 0.00919850 | + | 0.332419i | ||||
\(131\) | −0.121623 | − | 0.140360i | −0.0106262 | − | 0.0122633i | 0.750412 | − | 0.660971i | \(-0.229855\pi\) |
−0.761038 | + | 0.648708i | \(0.775310\pi\) | |||||||
\(132\) | −1.23691 | + | 3.31628i | −0.107659 | + | 0.288645i | ||||
\(133\) | 4.61215 | + | 2.51842i | 0.399924 | + | 0.218375i | ||||
\(134\) | −0.255712 | + | 0.559932i | −0.0220902 | + | 0.0483707i | ||||
\(135\) | 4.75421 | + | 8.16154i | 0.409178 | + | 0.702434i | ||||
\(136\) | 2.07689 | + | 3.23170i | 0.178092 | + | 0.277116i | ||||
\(137\) | 3.24795 | + | 3.24795i | 0.277491 | + | 0.277491i | 0.832107 | − | 0.554616i | \(-0.187135\pi\) |
−0.554616 | + | 0.832107i | \(0.687135\pi\) | |||||||
\(138\) | 3.72972 | + | 0.493126i | 0.317495 | + | 0.0419777i | ||||
\(139\) | − | 9.49865i | − | 0.805665i | −0.915274 | − | 0.402833i | \(-0.868026\pi\) | ||
0.915274 | − | 0.402833i | \(-0.131974\pi\) | |||||||
\(140\) | −1.20998 | + | 3.54022i | −0.102262 | + | 0.299203i | ||||
\(141\) | 0.356794 | − | 2.48156i | 0.0300475 | − | 0.208985i | ||||
\(142\) | −3.97608 | − | 10.6603i | −0.333665 | − | 0.894590i | ||||
\(143\) | 3.66656 | − | 6.71481i | 0.306613 | − | 0.561521i | ||||
\(144\) | −2.16912 | + | 0.990602i | −0.180760 | + | 0.0825502i | ||||
\(145\) | −17.9673 | + | 12.2621i | −1.49211 | + | 1.01832i | ||||
\(146\) | −0.591451 | − | 4.11363i | −0.0489488 | − | 0.340447i | ||||
\(147\) | 2.89214 | − | 1.57923i | 0.238539 | − | 0.130252i | ||||
\(148\) | 0.849218 | + | 11.8736i | 0.0698053 | + | 0.976006i | ||||
\(149\) | −1.86660 | − | 1.19959i | −0.152918 | − | 0.0982742i | 0.461944 | − | 0.886909i | \(-0.347152\pi\) |
−0.614862 | + | 0.788635i | \(0.710788\pi\) | |||||||
\(150\) | 2.72859 | + | 2.81773i | 0.222788 | + | 0.230067i | ||||
\(151\) | −2.09332 | + | 2.41581i | −0.170352 | + | 0.196596i | −0.834505 | − | 0.551000i | \(-0.814247\pi\) |
0.664154 | + | 0.747596i | \(0.268792\pi\) | |||||||
\(152\) | 1.50520 | + | 2.75656i | 0.122087 | + | 0.223587i | ||||
\(153\) | −7.33339 | − | 5.48971i | −0.592870 | − | 0.443817i | ||||
\(154\) | 5.70522 | − | 4.94360i | 0.459739 | − | 0.398366i | ||||
\(155\) | 5.40400 | + | 16.6826i | 0.434060 | + | 1.33998i | ||||
\(156\) | −1.27631 | + | 0.374759i | −0.102187 | + | 0.0300047i | ||||
\(157\) | 3.05572 | − | 1.13973i | 0.243873 | − | 0.0909601i | −0.224555 | − | 0.974461i | \(-0.572093\pi\) |
0.468429 | + | 0.883501i | \(0.344820\pi\) | |||||||
\(158\) | 1.57539 | + | 2.10448i | 0.125331 | + | 0.167423i | ||||
\(159\) | −2.99942 | + | 1.92761i | −0.237870 | + | 0.152870i | ||||
\(160\) | −1.75231 | + | 1.38903i | −0.138533 | + | 0.109812i | ||||
\(161\) | −6.47782 | − | 4.73550i | −0.510524 | − | 0.373210i | ||||
\(162\) | 2.71542 | − | 2.71542i | 0.213344 | − | 0.213344i | ||||
\(163\) | 11.7107 | + | 2.54751i | 0.917255 | + | 0.199537i | 0.646325 | − | 0.763062i | \(-0.276305\pi\) |
0.270930 | + | 0.962599i | \(0.412669\pi\) | |||||||
\(164\) | 7.40892 | + | 1.06524i | 0.578539 | + | 0.0831814i | ||||
\(165\) | −1.89560 | − | 7.68406i | −0.147573 | − | 0.598203i | ||||
\(166\) | −1.24893 | − | 4.25347i | −0.0969359 | − | 0.330133i | ||||
\(167\) | −20.3025 | − | 7.57243i | −1.57105 | − | 0.585972i | −0.595042 | − | 0.803695i | \(-0.702864\pi\) |
−0.976011 | + | 0.217723i | \(0.930137\pi\) | |||||||
\(168\) | −1.30919 | − | 0.0936353i | −0.101006 | − | 0.00722412i | ||||
\(169\) | −10.0217 | + | 1.44090i | −0.770898 | + | 0.110838i | ||||
\(170\) | −7.90938 | − | 3.35088i | −0.606622 | − | 0.257001i | ||||
\(171\) | −5.66013 | − | 4.90453i | −0.432841 | − | 0.375059i | ||||
\(172\) | 1.07240 | + | 4.92975i | 0.0817698 | + | 0.375890i | ||||
\(173\) | −0.0584752 | − | 0.268806i | −0.00444579 | − | 0.0204370i | 0.974871 | − | 0.222772i | \(-0.0715106\pi\) |
−0.979316 | + | 0.202335i | \(0.935147\pi\) | |||||||
\(174\) | −5.76746 | − | 4.99753i | −0.437230 | − | 0.378862i | ||||
\(175\) | −2.22761 | − | 8.06373i | −0.168391 | − | 0.609561i | ||||
\(176\) | 4.46597 | − | 0.642109i | 0.336635 | − | 0.0484008i | ||||
\(177\) | −5.40507 | − | 0.386578i | −0.406270 | − | 0.0290570i | ||||
\(178\) | −8.68861 | − | 3.24068i | −0.651239 | − | 0.242899i | ||||
\(179\) | −5.44259 | − | 18.5358i | −0.406799 | − | 1.38543i | −0.867307 | − | 0.497773i | \(-0.834151\pi\) |
0.460508 | − | 0.887655i | \(-0.347667\pi\) | |||||||
\(180\) | 2.75760 | − | 4.56371i | 0.205539 | − | 0.340159i | ||||
\(181\) | 9.05817 | + | 1.30237i | 0.673288 | + | 0.0968043i | 0.470475 | − | 0.882413i | \(-0.344082\pi\) |
0.202813 | + | 0.979217i | \(0.434992\pi\) | |||||||
\(182\) | 2.77227 | + | 0.603069i | 0.205494 | + | 0.0447025i | ||||
\(183\) | 1.75083 | − | 1.75083i | 0.129425 | − | 0.129425i | ||||
\(184\) | −1.72685 | − | 4.47415i | −0.127305 | − | 0.329838i | ||||
\(185\) | −16.5349 | − | 20.8595i | −1.21567 | − | 1.53362i | ||||
\(186\) | −5.17547 | + | 3.32607i | −0.379484 | + | 0.243879i | ||||
\(187\) | 10.3870 | + | 13.8754i | 0.759574 | + | 1.01467i | ||||
\(188\) | −2.99439 | + | 1.11685i | −0.218388 | + | 0.0814546i | ||||
\(189\) | 6.78121 | − | 1.99114i | 0.493260 | − | 0.144834i | ||||
\(190\) | −6.25460 | − | 3.19393i | −0.453756 | − | 0.231712i | ||||
\(191\) | 7.08566 | − | 6.13976i | 0.512700 | − | 0.444257i | −0.359687 | − | 0.933073i | \(-0.617116\pi\) |
0.872387 | + | 0.488816i | \(0.162571\pi\) | |||||||
\(192\) | −0.628000 | − | 0.470115i | −0.0453220 | − | 0.0339276i | ||||
\(193\) | −3.47032 | − | 6.35541i | −0.249799 | − | 0.457473i | 0.722449 | − | 0.691424i | \(-0.243016\pi\) |
−0.972248 | + | 0.233951i | \(0.924834\pi\) | |||||||
\(194\) | 0.869599 | − | 1.00357i | 0.0624336 | − | 0.0720522i | ||||
\(195\) | 1.88490 | − | 2.30092i | 0.134980 | − | 0.164773i | ||||
\(196\) | −3.53374 | − | 2.27099i | −0.252410 | − | 0.162214i | ||||
\(197\) | −0.822506 | − | 11.5001i | −0.0586011 | − | 0.819351i | −0.938738 | − | 0.344631i | \(-0.888004\pi\) |
0.880137 | − | 0.474720i | \(-0.157451\pi\) | |||||||
\(198\) | −9.44303 | + | 5.15629i | −0.671087 | + | 0.366441i | ||||
\(199\) | −3.02058 | − | 21.0086i | −0.214123 | − | 1.48926i | −0.759190 | − | 0.650869i | \(-0.774405\pi\) |
0.545067 | − | 0.838393i | \(-0.316504\pi\) | |||||||
\(200\) | 1.48558 | − | 4.77421i | 0.105046 | − | 0.337587i | ||||
\(201\) | 0.439249 | − | 0.200598i | 0.0309822 | − | 0.0141491i | ||||
\(202\) | −4.17841 | + | 7.65219i | −0.293992 | + | 0.538407i | ||||
\(203\) | 5.68812 | + | 15.2504i | 0.399228 | + | 1.07037i | ||||
\(204\) | 0.428874 | − | 2.98289i | 0.0300272 | − | 0.208844i | ||||
\(205\) | −15.0265 | + | 7.37135i | −1.04950 | + | 0.514837i | ||||
\(206\) | 10.6644i | 0.743026i | ||||||||
\(207\) | 7.58669 | + | 8.55736i | 0.527312 | + | 0.594777i | ||||
\(208\) | 1.19901 | + | 1.19901i | 0.0831367 | + | 0.0831367i | ||||
\(209\) | 7.66124 | + | 11.9211i | 0.529939 | + | 0.824602i | ||||
\(210\) | 2.53603 | − | 1.47727i | 0.175002 | − | 0.101941i | ||||
\(211\) | −2.79578 | + | 6.12191i | −0.192470 | + | 0.421450i | −0.981122 | − | 0.193390i | \(-0.938052\pi\) |
0.788652 | + | 0.614839i | \(0.210779\pi\) | |||||||
\(212\) | 3.98906 | + | 2.17819i | 0.273970 | + | 0.149599i | ||||
\(213\) | −3.11911 | + | 8.36265i | −0.213718 | + | 0.572999i | ||||
\(214\) | −1.33827 | − | 1.54445i | −0.0914823 | − | 0.105576i | ||||
\(215\) | −8.19450 | − | 7.75321i | −0.558861 | − | 0.528764i | ||||
\(216\) | 4.05295 | + | 1.19005i | 0.275769 | + | 0.0809730i | ||||
\(217\) | 13.0880 | − | 0.936075i | 0.888474 | − | 0.0635449i | ||||
\(218\) | −18.6347 | + | 4.05373i | −1.26210 | + | 0.274554i | ||||
\(219\) | −1.76260 | + | 2.74265i | −0.119105 | + | 0.185331i | ||||
\(220\) | −7.43901 | + | 6.81520i | −0.501538 | + | 0.459481i | ||||
\(221\) | −1.83519 | + | 6.25007i | −0.123448 | + | 0.420426i | ||||
\(222\) | 5.59622 | − | 7.47568i | 0.375594 | − | 0.501735i | ||||
\(223\) | −1.12224 | + | 15.6910i | −0.0751510 | + | 1.05075i | 0.810300 | + | 0.586015i | \(0.199304\pi\) |
−0.885451 | + | 0.464733i | \(0.846150\pi\) | |||||||
\(224\) | 0.695053 | + | 1.52195i | 0.0464402 | + | 0.101690i | ||||
\(225\) | 0.659348 | + | 11.9048i | 0.0439566 | + | 0.793653i | ||||
\(226\) | −9.18682 | − | 4.19548i | −0.611098 | − | 0.279079i | ||||
\(227\) | 9.63276 | − | 7.21100i | 0.639349 | − | 0.478611i | −0.229749 | − | 0.973250i | \(-0.573791\pi\) |
0.869098 | + | 0.494639i | \(0.164700\pi\) | |||||||
\(228\) | 0.523721 | − | 2.40751i | 0.0346843 | − | 0.159441i | ||||
\(229\) | 20.2031 | 1.33506 | 0.667529 | − | 0.744584i | \(-0.267352\pi\) | ||||
0.667529 | + | 0.744584i | \(0.267352\pi\) | |||||||
\(230\) | 8.82896 | + | 6.08683i | 0.582164 | + | 0.401353i | ||||
\(231\) | −5.92202 | −0.389640 | ||||||||
\(232\) | −2.06787 | + | 9.50584i | −0.135762 | + | 0.624089i | ||||
\(233\) | −6.61089 | + | 4.94885i | −0.433094 | + | 0.324210i | −0.793483 | − | 0.608592i | \(-0.791735\pi\) |
0.360389 | + | 0.932802i | \(0.382644\pi\) | |||||||
\(234\) | −3.67809 | − | 1.67973i | −0.240444 | − | 0.109807i | ||||
\(235\) | 4.12269 | − | 5.83712i | 0.268935 | − | 0.380772i | ||||
\(236\) | 2.86956 | + | 6.28347i | 0.186793 | + | 0.409019i | ||||
\(237\) | 0.147117 | − | 2.05697i | 0.00955630 | − | 0.133615i | ||||
\(238\) | −3.85183 | + | 5.14545i | −0.249677 | + | 0.333530i | ||||
\(239\) | 4.72365 | − | 16.0873i | 0.305548 | − | 1.04060i | −0.653399 | − | 0.757014i | \(-0.726658\pi\) |
0.958947 | − | 0.283586i | \(-0.0915242\pi\) | |||||||
\(240\) | 1.75245 | + | 0.0766932i | 0.113120 | + | 0.00495052i | ||||
\(241\) | 2.40237 | − | 3.73816i | 0.154750 | − | 0.240796i | −0.755218 | − | 0.655473i | \(-0.772469\pi\) |
0.909969 | + | 0.414677i | \(0.136106\pi\) | |||||||
\(242\) | 9.14332 | − | 1.98901i | 0.587755 | − | 0.127858i | ||||
\(243\) | −15.6447 | + | 1.11893i | −1.00361 | + | 0.0717795i | ||||
\(244\) | −3.02848 | − | 0.889243i | −0.193879 | − | 0.0569280i | ||||
\(245\) | 9.38915 | − | 0.259810i | 0.599850 | − | 0.0165987i | ||||
\(246\) | −3.84523 | − | 4.43763i | −0.245163 | − | 0.282933i | ||||
\(247\) | −1.86112 | + | 4.98985i | −0.118420 | + | 0.317496i | ||||
\(248\) | 6.88308 | + | 3.75845i | 0.437076 | + | 0.238662i | ||||
\(249\) | −1.44464 | + | 3.16332i | −0.0915503 | + | 0.200467i | ||||
\(250\) | 3.27402 | + | 10.6902i | 0.207067 | + | 0.676109i | ||||
\(251\) | −8.24727 | − | 12.8330i | −0.520563 | − | 0.810012i | 0.477063 | − | 0.878869i | \(-0.341701\pi\) |
−0.997627 | + | 0.0688568i | \(0.978065\pi\) | |||||||
\(252\) | −2.82122 | − | 2.82122i | −0.177720 | − | 0.177720i | ||||
\(253\) | −9.21162 | − | 19.5796i | −0.579130 | − | 1.23096i | ||||
\(254\) | 20.6240i | 1.29406i | ||||||||
\(255\) | 2.96776 | + | 6.04980i | 0.185848 | + | 0.378853i | ||||
\(256\) | −0.142315 | + | 0.989821i | −0.00889468 | + | 0.0618638i | ||||
\(257\) | −6.80711 | − | 18.2506i | −0.424616 | − | 1.13844i | −0.956528 | − | 0.291639i | \(-0.905799\pi\) |
0.531913 | − | 0.846799i | \(-0.321473\pi\) | |||||||
\(258\) | 1.89671 | − | 3.47357i | 0.118084 | − | 0.216255i | ||||
\(259\) | −18.1173 | + | 8.27387i | −1.12575 | + | 0.514113i | ||||
\(260\) | −3.72584 | − | 0.703175i | −0.231067 | − | 0.0436091i | ||||
\(261\) | −3.30140 | − | 22.9617i | −0.204351 | − | 1.42130i | ||||
\(262\) | 0.163005 | − | 0.0890076i | 0.0100705 | − | 0.00549890i | ||||
\(263\) | 1.71863 | + | 24.0296i | 0.105975 | + | 1.48173i | 0.720843 | + | 0.693098i | \(0.243755\pi\) |
−0.614868 | + | 0.788630i | \(0.710791\pi\) | |||||||
\(264\) | −2.97757 | − | 1.91356i | −0.183256 | − | 0.117772i | ||||
\(265\) | −10.1131 | + | 1.00514i | −0.621245 | + | 0.0617452i | ||||
\(266\) | −3.44125 | + | 3.97141i | −0.210997 | + | 0.243503i | ||||
\(267\) | 3.48635 | + | 6.38477i | 0.213361 | + | 0.390742i | ||||
\(268\) | −0.492780 | − | 0.368890i | −0.0301013 | − | 0.0225336i | ||||
\(269\) | 17.7119 | − | 15.3475i | 1.07992 | − | 0.935752i | 0.0817712 | − | 0.996651i | \(-0.473942\pi\) |
0.998144 | + | 0.0608994i | \(0.0193969\pi\) | |||||||
\(270\) | −8.98561 | + | 2.91071i | −0.546847 | + | 0.177140i | ||||
\(271\) | −0.266320 | + | 0.0781986i | −0.0161778 | + | 0.00475023i | −0.289811 | − | 0.957084i | \(-0.593593\pi\) |
0.273634 | + | 0.961834i | \(0.411774\pi\) | |||||||
\(272\) | −3.59932 | + | 1.34248i | −0.218241 | + | 0.0813996i | ||||
\(273\) | −1.33376 | − | 1.78170i | −0.0807230 | − | 0.107833i | ||||
\(274\) | −3.86413 | + | 2.48332i | −0.233440 | + | 0.150023i | ||||
\(275\) | 5.14900 | − | 21.9640i | 0.310496 | − | 1.32448i | ||||
\(276\) | −1.27467 | + | 3.53967i | −0.0767259 | + | 0.213063i | ||||
\(277\) | −7.37648 | + | 7.37648i | −0.443210 | + | 0.443210i | −0.893089 | − | 0.449880i | \(-0.851467\pi\) |
0.449880 | + | 0.893089i | \(0.351467\pi\) | |||||||
\(278\) | 9.28158 | + | 2.01908i | 0.556672 | + | 0.121097i | ||||
\(279\) | −18.5106 | − | 2.66143i | −1.10820 | − | 0.159335i | ||||
\(280\) | −3.20211 | − | 1.93486i | −0.191363 | − | 0.115630i | ||||
\(281\) | 3.55550 | + | 12.1089i | 0.212104 | + | 0.722358i | 0.994970 | + | 0.100169i | \(0.0319384\pi\) |
−0.782867 | + | 0.622189i | \(0.786243\pi\) | |||||||
\(282\) | 2.34901 | + | 0.876134i | 0.139881 | + | 0.0521730i | ||||
\(283\) | 2.20061 | + | 0.157391i | 0.130813 | + | 0.00935592i | 0.136592 | − | 0.990627i | \(-0.456385\pi\) |
−0.00577920 | + | 0.999983i | \(0.501840\pi\) | |||||||
\(284\) | 11.2618 | − | 1.61921i | 0.668266 | − | 0.0960822i | ||||
\(285\) | 2.06733 | + | 5.10666i | 0.122458 | + | 0.302492i | ||||
\(286\) | 5.78197 | + | 5.01011i | 0.341895 | + | 0.296254i | ||||
\(287\) | 2.66211 | + | 12.2375i | 0.157139 | + | 0.722358i | ||||
\(288\) | −0.506885 | − | 2.33011i | −0.0298685 | − | 0.137303i | ||||
\(289\) | 1.69489 | + | 1.46863i | 0.0996994 | + | 0.0863900i | ||||
\(290\) | −8.16269 | − | 20.1632i | −0.479329 | − | 1.18403i | ||||
\(291\) | −1.03110 | + | 0.148251i | −0.0604444 | + | 0.00869060i | ||||
\(292\) | 4.14534 | + | 0.296481i | 0.242588 | + | 0.0173502i | ||||
\(293\) | 25.9638 | + | 9.68400i | 1.51682 | + | 0.565745i | 0.963614 | − | 0.267298i | \(-0.0861308\pi\) |
0.553208 | + | 0.833043i | \(0.313404\pi\) | |||||||
\(294\) | 0.928368 | + | 3.16173i | 0.0541435 | + | 0.184396i | ||||
\(295\) | −13.2201 | − | 7.98817i | −0.769704 | − | 0.465089i | ||||
\(296\) | −11.7828 | − | 1.69411i | −0.684861 | − | 0.0984681i | ||||
\(297\) | 18.6229 | + | 4.05117i | 1.08061 | + | 0.235073i | ||||
\(298\) | 1.56895 | − | 1.56895i | 0.0908868 | − | 0.0908868i | ||||
\(299\) | 3.81607 | − | 7.18114i | 0.220689 | − | 0.415296i | ||||
\(300\) | −3.33334 | + | 2.06728i | −0.192450 | + | 0.119354i | ||||
\(301\) | −7.10112 | + | 4.56361i | −0.409302 | + | 0.263042i | ||||
\(302\) | −1.91564 | − | 2.55900i | −0.110233 | − | 0.147254i | ||||
\(303\) | 6.40829 | − | 2.39017i | 0.368147 | − | 0.137312i | ||||
\(304\) | −3.01352 | + | 0.884848i | −0.172837 | + | 0.0507495i | ||||
\(305\) | 6.71430 | − | 2.17496i | 0.384460 | − | 0.124538i | ||||
\(306\) | 6.92308 | − | 5.99888i | 0.395766 | − | 0.342933i | ||||
\(307\) | −25.5592 | − | 19.1334i | −1.45874 | − | 1.09200i | −0.976388 | − | 0.216025i | \(-0.930691\pi\) |
−0.482355 | − | 0.875976i | \(-0.660218\pi\) | |||||||
\(308\) | 3.61789 | + | 6.62567i | 0.206148 | + | 0.377533i | ||||
\(309\) | 5.47851 | − | 6.32254i | 0.311662 | − | 0.359677i | ||||
\(310\) | −17.4501 | + | 1.73435i | −0.991098 | + | 0.0985047i | ||||
\(311\) | 15.9063 | + | 10.2223i | 0.901961 | + | 0.579655i | 0.907371 | − | 0.420330i | \(-0.138086\pi\) |
−0.00541011 | + | 0.999985i | \(0.501722\pi\) | |||||||
\(312\) | −0.0948950 | − | 1.32681i | −0.00537237 | − | 0.0751155i | ||||
\(313\) | 14.7793 | − | 8.07010i | 0.835374 | − | 0.456149i | −0.00381211 | − | 0.999993i | \(-0.501213\pi\) |
0.839186 | + | 0.543844i | \(0.183032\pi\) | |||||||
\(314\) | 0.464139 | + | 3.22816i | 0.0261929 | + | 0.182175i | ||||
\(315\) | 8.76673 | + | 1.65454i | 0.493949 | + | 0.0932227i | ||||
\(316\) | −2.39125 | + | 1.09205i | −0.134519 | + | 0.0614326i | ||||
\(317\) | 8.38984 | − | 15.3648i | 0.471220 | − | 0.862976i | −0.528679 | − | 0.848822i | \(-0.677313\pi\) |
0.999900 | − | 0.0141542i | \(-0.00450559\pi\) | |||||||
\(318\) | −1.24599 | − | 3.34062i | −0.0698715 | − | 0.187333i | ||||
\(319\) | −6.24654 | + | 43.4456i | −0.349739 | + | 2.43249i | ||||
\(320\) | −0.984803 | − | 2.00753i | −0.0550521 | − | 0.112224i | ||||
\(321\) | 1.60314i | 0.0894784i | ||||||||
\(322\) | 6.00424 | − | 5.32318i | 0.334603 | − | 0.296649i | ||||
\(323\) | −8.53141 | − | 8.53141i | −0.474700 | − | 0.474700i | ||||
\(324\) | 2.07616 | + | 3.23057i | 0.115342 | + | 0.179476i | ||||
\(325\) | 7.76775 | − | 3.39762i | 0.430877 | − | 0.188466i | ||||
\(326\) | −4.97859 | + | 10.9016i | −0.275739 | + | 0.603783i | ||||
\(327\) | 13.1303 | + | 7.16968i | 0.726107 | + | 0.396484i | ||||
\(328\) | −2.61578 | + | 7.01317i | −0.144432 | + | 0.387237i | ||||
\(329\) | −3.50168 | − | 4.04115i | −0.193054 | − | 0.222796i | ||||
\(330\) | 7.91140 | − | 0.218919i | 0.435508 | − | 0.0120511i | ||||
\(331\) | −21.3950 | − | 6.28213i | −1.17597 | − | 0.345297i | −0.365354 | − | 0.930869i | \(-0.619052\pi\) |
−0.810621 | + | 0.585571i | \(0.800870\pi\) | |||||||
\(332\) | 4.42175 | − | 0.316249i | 0.242675 | − | 0.0173564i | ||||
\(333\) | 27.7376 | − | 6.03393i | 1.52001 | − | 0.330658i | ||||
\(334\) | 11.7150 | − | 18.2289i | 0.641015 | − | 0.997439i | ||||
\(335\) | 1.37511 | + | 0.0601797i | 0.0751305 | + | 0.00328797i | ||||
\(336\) | 0.369784 | − | 1.25937i | 0.0201734 | − | 0.0687042i | ||||
\(337\) | 2.98176 | − | 3.98316i | 0.162427 | − | 0.216976i | −0.711943 | − | 0.702237i | \(-0.752184\pi\) |
0.874369 | + | 0.485261i | \(0.161275\pi\) | |||||||
\(338\) | 0.722290 | − | 10.0989i | 0.0392874 | − | 0.549310i | ||||
\(339\) | 3.29122 | + | 7.20677i | 0.178755 | + | 0.391418i | ||||
\(340\) | 4.95557 | − | 7.01634i | 0.268753 | − | 0.380515i | ||||
\(341\) | 32.1863 | + | 14.6990i | 1.74299 | + | 0.795996i | ||||
\(342\) | 5.99560 | − | 4.48825i | 0.324205 | − | 0.242697i | ||||
\(343\) | 3.98353 | − | 18.3120i | 0.215090 | − | 0.988754i | ||||
\(344\) | −5.04504 | −0.272010 | ||||||||
\(345\) | −2.10744 | − | 8.14424i | −0.113461 | − | 0.438471i | ||||
\(346\) | 0.275093 | 0.0147891 | ||||||||
\(347\) | −1.26594 | + | 5.81944i | −0.0679593 | + | 0.312404i | −0.998561 | − | 0.0536298i | \(-0.982921\pi\) |
0.930602 | + | 0.366034i | \(0.119285\pi\) | |||||||
\(348\) | 6.10928 | − | 4.57335i | 0.327492 | − | 0.245157i | ||||
\(349\) | 10.9758 | + | 5.01247i | 0.587520 | + | 0.268311i | 0.686916 | − | 0.726737i | \(-0.258964\pi\) |
−0.0993965 | + | 0.995048i | \(0.531691\pi\) | |||||||
\(350\) | 8.35296 | − | 0.462630i | 0.446485 | − | 0.0247286i | ||||
\(351\) | 2.97544 | + | 6.51531i | 0.158817 | + | 0.347761i | ||||
\(352\) | −0.321875 | + | 4.50040i | −0.0171560 | + | 0.239872i | ||||
\(353\) | −20.2635 | + | 27.0688i | −1.07852 | + | 1.44073i | −0.190056 | + | 0.981773i | \(0.560867\pi\) |
−0.888460 | + | 0.458955i | \(0.848224\pi\) | |||||||
\(354\) | 1.52667 | − | 5.19938i | 0.0811418 | − | 0.276344i | ||||
\(355\) | −18.7589 | + | 17.1859i | −0.995622 | + | 0.912132i | ||||
\(356\) | 5.01352 | − | 7.80119i | 0.265716 | − | 0.413462i | ||||
\(357\) | 4.92692 | − | 1.07178i | 0.260760 | − | 0.0567249i | ||||
\(358\) | 19.2691 | − | 1.37815i | 1.01840 | − | 0.0728376i | ||||
\(359\) | −28.0862 | − | 8.24684i | −1.48233 | − | 0.435252i | −0.562246 | − | 0.826970i | \(-0.690062\pi\) |
−0.920085 | + | 0.391719i | \(0.871881\pi\) | |||||||
\(360\) | 3.87325 | + | 3.66466i | 0.204138 | + | 0.193145i | ||||
\(361\) | 5.98265 | + | 6.90435i | 0.314876 | + | 0.363387i | ||||
\(362\) | −3.19806 | + | 8.57432i | −0.168086 | + | 0.450656i | ||||
\(363\) | −6.44252 | − | 3.51788i | −0.338145 | − | 0.184641i | ||||
\(364\) | −1.17857 | + | 2.58072i | −0.0617741 | + | 0.135266i | ||||
\(365\) | −8.02991 | + | 4.67754i | −0.420305 | + | 0.244834i | ||||
\(366\) | 1.33865 | + | 2.08298i | 0.0699725 | + | 0.108879i | ||||
\(367\) | 19.4435 | + | 19.4435i | 1.01494 | + | 1.01494i | 0.999887 | + | 0.0150536i | \(0.00479189\pi\) |
0.0150536 | + | 0.999887i | \(0.495208\pi\) | |||||||
\(368\) | 4.73897 | − | 0.736337i | 0.247036 | − | 0.0383842i | ||||
\(369\) | − | 17.8490i | − | 0.929184i | ||||||
\(370\) | 23.8975 | − | 11.7230i | 1.24237 | − | 0.609452i | ||||
\(371\) | −1.08223 | + | 7.52710i | −0.0561868 | + | 0.390788i | ||||
\(372\) | −2.14994 | − | 5.76420i | −0.111469 | − | 0.298860i | ||||
\(373\) | −9.08869 | + | 16.6447i | −0.470595 | + | 0.861830i | 0.529316 | + | 0.848425i | \(0.322449\pi\) |
−0.999910 | + | 0.0134046i | \(0.995733\pi\) | |||||||
\(374\) | −15.7663 | + | 7.20021i | −0.815253 | + | 0.372314i | ||||
\(375\) | 3.55072 | − | 8.01975i | 0.183358 | − | 0.414138i | ||||
\(376\) | −0.454823 | − | 3.16336i | −0.0234557 | − | 0.163138i | ||||
\(377\) | −14.4779 | + | 7.90553i | −0.745650 | + | 0.407156i | ||||
\(378\) | 0.504189 | + | 7.04949i | 0.0259327 | + | 0.362586i | ||||
\(379\) | 11.1942 | + | 7.19405i | 0.575005 | + | 0.369533i | 0.795591 | − | 0.605834i | \(-0.207161\pi\) |
−0.220586 | + | 0.975368i | \(0.570797\pi\) | |||||||
\(380\) | 4.45045 | − | 5.43274i | 0.228303 | − | 0.278694i | ||||
\(381\) | 10.5949 | − | 12.2272i | 0.542793 | − | 0.626417i | ||||
\(382\) | 4.49328 | + | 8.22883i | 0.229896 | + | 0.421024i | ||||
\(383\) | −7.61880 | − | 5.70336i | −0.389303 | − | 0.291428i | 0.386641 | − | 0.922230i | \(-0.373635\pi\) |
−0.775944 | + | 0.630802i | \(0.782726\pi\) | |||||||
\(384\) | 0.592862 | − | 0.513718i | 0.0302544 | − | 0.0262156i | ||||
\(385\) | −15.0336 | − | 7.67695i | −0.766181 | − | 0.391253i | ||||
\(386\) | 6.94784 | − | 2.04007i | 0.353636 | − | 0.103837i | ||||
\(387\) | 11.2719 | − | 4.20421i | 0.572984 | − | 0.213712i | ||||
\(388\) | 0.795790 | + | 1.06305i | 0.0404001 | + | 0.0539682i | ||||
\(389\) | 18.0660 | − | 11.6103i | 0.915984 | − | 0.588667i | 0.00449402 | − | 0.999990i | \(-0.498570\pi\) |
0.911490 | + | 0.411323i | \(0.134933\pi\) | |||||||
\(390\) | 1.84768 | + | 2.33092i | 0.0935607 | + | 0.118031i | ||||
\(391\) | 11.2073 | + | 14.6224i | 0.566779 | + | 0.739487i | ||||
\(392\) | 2.97024 | − | 2.97024i | 0.150020 | − | 0.150020i | ||||
\(393\) | −0.142364 | − | 0.0309695i | −0.00718133 | − | 0.00156220i | ||||
\(394\) | 11.4122 | + | 1.64082i | 0.574936 | + | 0.0826633i | ||||
\(395\) | 3.04000 | − | 5.03108i | 0.152959 | − | 0.253141i | ||||
\(396\) | −3.03119 | − | 10.3233i | −0.152323 | − | 0.518764i | ||||
\(397\) | 18.1098 | + | 6.75459i | 0.908903 | + | 0.339003i | 0.760057 | − | 0.649857i | \(-0.225171\pi\) |
0.148847 | + | 0.988860i | \(0.452444\pi\) | |||||||
\(398\) | 21.1706 | + | 1.51415i | 1.06119 | + | 0.0758975i | ||||
\(399\) | 4.08037 | − | 0.586669i | 0.204274 | − | 0.0293702i | ||||
\(400\) | 4.34932 | + | 2.46646i | 0.217466 | + | 0.123323i | ||||
\(401\) | −26.8260 | − | 23.2449i | −1.33963 | − | 1.16079i | −0.973099 | − | 0.230386i | \(-0.926001\pi\) |
−0.366527 | − | 0.930407i | \(-0.619453\pi\) | |||||||
\(402\) | 0.102645 | + | 0.471851i | 0.00511946 | + | 0.0235338i | ||||
\(403\) | 2.82669 | + | 12.9941i | 0.140808 | + | 0.647282i | ||||
\(404\) | −6.58913 | − | 5.70952i | −0.327822 | − | 0.284059i | ||||
\(405\) | −7.90661 | − | 3.34971i | −0.392883 | − | 0.166448i | ||||
\(406\) | −16.1110 | + | 2.31641i | −0.799576 | + | 0.114962i | ||||
\(407\) | −53.5725 | − | 3.83158i | −2.65549 | − | 0.189924i | ||||
\(408\) | 2.82355 | + | 1.05313i | 0.139787 | + | 0.0521378i | ||||
\(409\) | 7.10271 | + | 24.1896i | 0.351207 | + | 1.19610i | 0.925912 | + | 0.377739i | \(0.123298\pi\) |
−0.574705 | + | 0.818360i | \(0.694883\pi\) | |||||||
\(410\) | −4.00877 | − | 16.2500i | −0.197979 | − | 0.802532i | ||||
\(411\) | 3.56662 | + | 0.512803i | 0.175928 | + | 0.0252947i | ||||
\(412\) | −10.4207 | − | 2.26689i | −0.513392 | − | 0.111682i | ||||
\(413\) | −8.17249 | + | 8.17249i | −0.402142 | + | 0.402142i | ||||
\(414\) | −9.97446 | + | 5.59432i | −0.490218 | + | 0.274946i | ||||
\(415\) | −7.76808 | + | 6.15761i | −0.381320 | + | 0.302265i | ||||
\(416\) | −1.42648 | + | 0.916744i | −0.0699390 | + | 0.0449471i | ||||
\(417\) | −4.46546 | − | 5.96515i | −0.218674 | − | 0.292115i | ||||
\(418\) | −13.2772 | + | 4.95214i | −0.649409 | + | 0.242217i | ||||
\(419\) | 1.91896 | − | 0.563457i | 0.0937472 | − | 0.0275267i | −0.234523 | − | 0.972111i | \(-0.575353\pi\) |
0.328270 | + | 0.944584i | \(0.393534\pi\) | |||||||
\(420\) | 0.904440 | + | 2.79209i | 0.0441321 | + | 0.136240i | ||||
\(421\) | 7.26443 | − | 6.29466i | 0.354046 | − | 0.306783i | −0.459619 | − | 0.888116i | \(-0.652014\pi\) |
0.813666 | + | 0.581333i | \(0.197469\pi\) | |||||||
\(422\) | −5.38772 | − | 4.03319i | −0.262270 | − | 0.196333i | ||||
\(423\) | 3.65233 | + | 6.68875i | 0.177582 | + | 0.325218i | ||||
\(424\) | −2.97635 | + | 3.43489i | −0.144544 | + | 0.166813i | ||||
\(425\) | −0.308678 | + | 19.2052i | −0.0149731 | + | 0.931587i | ||||
\(426\) | −7.50852 | − | 4.82544i | −0.363789 | − | 0.233793i | ||||
\(427\) | −0.376745 | − | 5.26758i | −0.0182320 | − | 0.254916i | ||||
\(428\) | 1.79362 | − | 0.979391i | 0.0866979 | − | 0.0473406i | ||||
\(429\) | −0.854130 | − | 5.94060i | −0.0412378 | − | 0.286815i | ||||
\(430\) | 9.31789 | − | 6.35917i | 0.449349 | − | 0.306666i | ||||
\(431\) | 6.40337 | − | 2.92432i | 0.308440 | − | 0.140860i | −0.255181 | − | 0.966893i | \(-0.582135\pi\) |
0.563621 | + | 0.826034i | \(0.309408\pi\) | |||||||
\(432\) | −2.02438 | + | 3.70737i | −0.0973978 | + | 0.178371i | ||||
\(433\) | −12.0683 | − | 32.3563i | −0.579964 | − | 1.55494i | −0.812871 | − | 0.582444i | \(-0.802096\pi\) |
0.232907 | − | 0.972499i | \(-0.425176\pi\) | |||||||
\(434\) | −1.86738 | + | 12.9879i | −0.0896371 | + | 0.623440i | ||||
\(435\) | −5.51886 | + | 16.1473i | −0.264609 | + | 0.774205i | ||||
\(436\) | − | 19.0705i | − | 0.913313i | ||||||
\(437\) | 8.28663 | + | 12.5781i | 0.396403 | + | 0.601693i | ||||
\(438\) | −2.30531 | − | 2.30531i | −0.110152 | − | 0.110152i | ||||
\(439\) | −10.0531 | − | 15.6429i | −0.479809 | − | 0.746597i | 0.513989 | − | 0.857797i | \(-0.328167\pi\) |
−0.993798 | + | 0.111199i | \(0.964531\pi\) | |||||||
\(440\) | −5.07817 | − | 8.71768i | −0.242092 | − | 0.415599i | ||||
\(441\) | −4.16108 | + | 9.11150i | −0.198147 | + | 0.433881i | ||||
\(442\) | −5.71714 | − | 3.12180i | −0.271937 | − | 0.148489i | ||||
\(443\) | 5.81411 | − | 15.5882i | 0.276237 | − | 0.740620i | −0.722547 | − | 0.691322i | \(-0.757029\pi\) |
0.998784 | − | 0.0492981i | \(-0.0156984\pi\) | |||||||
\(444\) | 6.11527 | + | 7.05740i | 0.290218 | + | 0.334929i | ||||
\(445\) | 0.573565 | + | 20.7278i | 0.0271896 | + | 0.982591i | ||||
\(446\) | −15.0939 | − | 4.43196i | −0.714716 | − | 0.209859i | ||||
\(447\) | −1.73617 | + | 0.124173i | −0.0821179 | + | 0.00587319i | ||||
\(448\) | −1.63492 | + | 0.355654i | −0.0772425 | + | 0.0168031i | ||||
\(449\) | 12.0243 | − | 18.7101i | 0.567460 | − | 0.882985i | −0.432365 | − | 0.901699i | \(-0.642321\pi\) |
0.999825 | + | 0.0187139i | \(0.00595717\pi\) | |||||||
\(450\) | −11.7729 | − | 1.88627i | −0.554979 | − | 0.0889195i | ||||
\(451\) | −9.51466 | + | 32.4040i | −0.448028 | + | 1.52584i | ||||
\(452\) | 6.05240 | − | 8.08506i | 0.284681 | − | 0.380289i | ||||
\(453\) | −0.178891 | + | 2.50123i | −0.00840505 | + | 0.117518i | ||||
\(454\) | 4.99861 | + | 10.9454i | 0.234596 | + | 0.513695i | ||||
\(455\) | −1.07619 | − | 6.25200i | −0.0504524 | − | 0.293098i | ||||
\(456\) | 2.24116 | + | 1.02350i | 0.104952 | + | 0.0479300i | ||||
\(457\) | −22.7364 | + | 17.0202i | −1.06356 | + | 0.796173i | −0.979733 | − | 0.200307i | \(-0.935806\pi\) |
−0.0838296 | + | 0.996480i | \(0.526715\pi\) | |||||||
\(458\) | −4.29448 | + | 19.7414i | −0.200668 | + | 0.922455i | ||||
\(459\) | −16.2268 | −0.757404 | ||||||||
\(460\) | −7.82445 | + | 7.33334i | −0.364817 | + | 0.341919i | ||||
\(461\) | 32.3699 | 1.50761 | 0.753807 | − | 0.657095i | \(-0.228215\pi\) | ||||
0.753807 | + | 0.657095i | \(0.228215\pi\) | |||||||
\(462\) | 1.25882 | − | 5.78668i | 0.0585654 | − | 0.269221i | ||||
\(463\) | 10.9378 | − | 8.18793i | 0.508323 | − | 0.380526i | −0.314111 | − | 0.949386i | \(-0.601707\pi\) |
0.822434 | + | 0.568861i | \(0.192616\pi\) | |||||||
\(464\) | −8.84904 | − | 4.04122i | −0.410807 | − | 0.187609i | ||||
\(465\) | 11.2365 | + | 7.93619i | 0.521078 | + | 0.368032i | ||||
\(466\) | −3.43051 | − | 7.51177i | −0.158915 | − | 0.347976i | ||||
\(467\) | −0.297165 | + | 4.15491i | −0.0137511 | + | 0.192266i | 0.985933 | + | 0.167140i | \(0.0534532\pi\) |
−0.999684 | + | 0.0251260i | \(0.992001\pi\) | |||||||
\(468\) | 2.42317 | − | 3.23698i | 0.112011 | − | 0.149630i | ||||
\(469\) | 0.290163 | − | 0.988204i | 0.0133985 | − | 0.0456310i | ||||
\(470\) | 4.82738 | + | 5.26925i | 0.222671 | + | 0.243052i | ||||
\(471\) | 1.38319 | − | 2.15229i | 0.0637341 | − | 0.0991722i | ||||
\(472\) | −6.74984 | + | 1.46834i | −0.310687 | + | 0.0675857i | ||||
\(473\) | −22.7047 | + | 1.62387i | −1.04396 | + | 0.0746656i | ||||
\(474\) | 1.97869 | + | 0.580996i | 0.0908842 | + | 0.0266860i | ||||
\(475\) | −1.37187 | + | 15.6437i | −0.0629456 | + | 0.717780i | ||||
\(476\) | −4.20909 | − | 4.85755i | −0.192923 | − | 0.222646i | ||||
\(477\) | 3.78752 | − | 10.1547i | 0.173419 | − | 0.464954i | ||||
\(478\) | 14.7156 | + | 8.03530i | 0.673074 | + | 0.367526i | ||||
\(479\) | −3.31968 | + | 7.26909i | −0.151680 | + | 0.332133i | −0.970185 | − | 0.242367i | \(-0.922076\pi\) |
0.818505 | + | 0.574500i | \(0.194803\pi\) | |||||||
\(480\) | −0.447450 | + | 1.69610i | −0.0204232 | + | 0.0774159i | ||||
\(481\) | −10.9129 | − | 16.9808i | −0.497584 | − | 0.774257i | ||||
\(482\) | 3.14207 | + | 3.14207i | 0.143117 | + | 0.143117i | ||||
\(483\) | −6.29430 | + | 0.0714242i | −0.286400 | + | 0.00324991i | ||||
\(484\) | 9.35716i | 0.425326i | ||||||||
\(485\) | −2.80973 | − | 0.960315i | −0.127583 | − | 0.0436057i | ||||
\(486\) | 2.23216 | − | 15.5250i | 0.101253 | − | 0.704230i | ||||
\(487\) | −4.26373 | − | 11.4315i | −0.193208 | − | 0.518011i | 0.803835 | − | 0.594852i | \(-0.202789\pi\) |
−0.997043 | + | 0.0768410i | \(0.975517\pi\) | |||||||
\(488\) | 1.51267 | − | 2.77025i | 0.0684754 | − | 0.125403i | ||||
\(489\) | 8.55196 | − | 3.90555i | 0.386733 | − | 0.176615i | ||||
\(490\) | −1.74193 | + | 9.22980i | −0.0786925 | + | 0.416960i | ||||
\(491\) | 5.67447 | + | 39.4668i | 0.256085 | + | 1.78111i | 0.560079 | + | 0.828439i | \(0.310771\pi\) |
−0.303994 | + | 0.952674i | \(0.598320\pi\) | |||||||
\(492\) | 5.15358 | − | 2.81407i | 0.232341 | − | 0.126868i | ||||
\(493\) | −2.66602 | − | 37.2758i | −0.120071 | − | 1.67882i | ||||
\(494\) | −4.48021 | − | 2.87925i | −0.201574 | − | 0.129544i | ||||
\(495\) | 18.6107 | + | 15.2457i | 0.836489 | + | 0.685245i | ||||
\(496\) | −5.13566 | + | 5.92686i | −0.230598 | + | 0.266124i | ||||
\(497\) | 9.12323 | + | 16.7079i | 0.409233 | + | 0.749454i | ||||
\(498\) | −2.78395 | − | 2.08404i | −0.124752 | − | 0.0933879i | ||||
\(499\) | −7.59110 | + | 6.57772i | −0.339824 | + | 0.294459i | −0.808008 | − | 0.589172i | \(-0.799454\pi\) |
0.468184 | + | 0.883631i | \(0.344909\pi\) | |||||||
\(500\) | −11.1419 | + | 0.926824i | −0.498279 | + | 0.0414488i | ||||
\(501\) | −16.3099 | + | 4.78901i | −0.728671 | + | 0.213957i | ||||
\(502\) | 14.2928 | − | 5.33094i | 0.637920 | − | 0.237932i | ||||
\(503\) | −24.4584 | − | 32.6726i | −1.09055 | − | 1.45680i | −0.877389 | − | 0.479780i | \(-0.840716\pi\) |
−0.213157 | − | 0.977018i | \(-0.568375\pi\) | |||||||
\(504\) | 3.35644 | − | 2.15706i | 0.149508 | − | 0.0960829i | ||||
\(505\) | 19.3665 | + | 2.23967i | 0.861796 | + | 0.0996640i | ||||
\(506\) | 21.0902 | − | 4.83916i | 0.937575 | − | 0.215127i | ||||
\(507\) | −5.61622 | + | 5.61622i | −0.249425 | + | 0.249425i | ||||
\(508\) | −20.1526 | − | 4.38394i | −0.894129 | − | 0.194506i | ||||
\(509\) | −20.9875 | − | 3.01754i | −0.930253 | − | 0.133750i | −0.339503 | − | 0.940605i | \(-0.610259\pi\) |
−0.590750 | + | 0.806855i | \(0.701168\pi\) | |||||||
\(510\) | −6.54239 | + | 1.61396i | −0.289702 | + | 0.0714674i | ||||
\(511\) | 1.95903 | + | 6.67184i | 0.0866624 | + | 0.295145i | ||||
\(512\) | −0.936950 | − | 0.349464i | −0.0414077 | − | 0.0154443i | ||||
\(513\) | −13.2329 | − | 0.946433i | −0.584245 | − | 0.0417860i | ||||
\(514\) | 19.2804 | − | 2.77211i | 0.850423 | − | 0.122272i | ||||
\(515\) | 22.1038 | − | 8.94830i | 0.974011 | − | 0.394309i | ||||
\(516\) | 2.99101 | + | 2.59173i | 0.131672 | + | 0.114094i | ||||
\(517\) | −3.06509 | − | 14.0900i | −0.134802 | − | 0.619677i | ||||
\(518\) | −4.23369 | − | 19.4620i | −0.186018 | − | 0.855109i | ||||
\(519\) | −0.163092 | − | 0.141320i | −0.00715896 | − | 0.00620327i | ||||
\(520\) | 1.47909 | − | 3.49122i | 0.0648624 | − | 0.153100i | ||||
\(521\) | −6.78921 | + | 0.976141i | −0.297441 | + | 0.0427655i | −0.289420 | − | 0.957202i | \(-0.593462\pi\) |
−0.00802106 | + | 0.999968i | \(0.502553\pi\) | |||||||
\(522\) | 23.1387 | + | 1.65492i | 1.01276 | + | 0.0724337i | ||||
\(523\) | −10.4629 | − | 3.90244i | −0.457509 | − | 0.170642i | 0.110134 | − | 0.993917i | \(-0.464872\pi\) |
−0.567643 | + | 0.823275i | \(0.692145\pi\) | |||||||
\(524\) | 0.0523242 | + | 0.178200i | 0.00228579 | + | 0.00778470i | ||||
\(525\) | −5.18981 | − | 4.01679i | −0.226502 | − | 0.175307i | ||||
\(526\) | −23.8458 | − | 3.42850i | −1.03972 | − | 0.149490i | ||||
\(527\) | −29.4382 | − | 6.40388i | −1.28235 | − | 0.278958i | ||||
\(528\) | 2.50276 | − | 2.50276i | 0.108919 | − | 0.108919i | ||||
\(529\) | −10.0268 | − | 20.6993i | −0.435949 | − | 0.899971i | ||||
\(530\) | 1.16753 | − | 10.0957i | 0.0507144 | − | 0.438528i | ||||
\(531\) | 13.8573 | − | 8.90553i | 0.601354 | − | 0.386467i | ||||
\(532\) | −3.14916 | − | 4.20679i | −0.136534 | − | 0.182388i | ||||
\(533\) | −11.8920 | + | 4.43547i | −0.515098 | + | 0.192122i | ||||
\(534\) | −6.97993 | + | 2.04949i | −0.302051 | + | 0.0886903i | ||||
\(535\) | −2.07821 | + | 4.06970i | −0.0898488 | + | 0.175948i | ||||
\(536\) | 0.465208 | − | 0.403105i | 0.0200939 | − | 0.0174115i | ||||
\(537\) | −12.1319 | − | 9.08182i | −0.523530 | − | 0.391909i | ||||
\(538\) | 11.2318 | + | 20.5695i | 0.484237 | + | 0.886814i | ||||
\(539\) | 12.4112 | − | 14.3233i | 0.534590 | − | 0.616949i | ||||
\(540\) | −0.934159 | − | 9.39897i | −0.0401998 | − | 0.404467i | ||||
\(541\) | −3.87412 | − | 2.48975i | −0.166561 | − | 0.107043i | 0.454704 | − | 0.890642i | \(-0.349745\pi\) |
−0.621266 | + | 0.783600i | \(0.713381\pi\) | |||||||
\(542\) | −0.0198011 | − | 0.276856i | −0.000850531 | − | 0.0118920i | ||||
\(543\) | 6.30079 | − | 3.44049i | 0.270393 | − | 0.147646i | ||||
\(544\) | −0.546706 | − | 3.80243i | −0.0234398 | − | 0.163028i | ||||
\(545\) | 24.0380 | + | 35.2222i | 1.02968 | + | 1.50875i | ||||
\(546\) | 2.02449 | − | 0.924555i | 0.0866403 | − | 0.0395673i | ||||
\(547\) | 4.67959 | − | 8.57003i | 0.200085 | − | 0.366428i | −0.758301 | − | 0.651905i | \(-0.773970\pi\) |
0.958386 | + | 0.285477i | \(0.0921520\pi\) | |||||||
\(548\) | −1.60519 | − | 4.30369i | −0.0685704 | − | 0.183844i | ||||
\(549\) | −1.07115 | + | 7.45002i | −0.0457156 | + | 0.317959i | ||||
\(550\) | 20.3675 | + | 9.70011i | 0.868475 | + | 0.413614i | ||||
\(551\) | − | 30.5536i | − | 1.30163i | ||||||
\(552\) | −3.18782 | − | 1.99795i | −0.135683 | − | 0.0850382i | ||||
\(553\) | −3.11015 | − | 3.11015i | −0.132257 | − | 0.132257i | ||||
\(554\) | −5.63992 | − | 8.77589i | −0.239617 | − | 0.372852i | ||||
\(555\) | −20.1903 | − | 5.32643i | −0.857029 | − | 0.226094i | ||||
\(556\) | −3.94588 | + | 8.64028i | −0.167343 | + | 0.366429i | ||||
\(557\) | −18.1382 | − | 9.90423i | −0.768542 | − | 0.419656i | 0.0466025 | − | 0.998914i | \(-0.485161\pi\) |
−0.815144 | + | 0.579258i | \(0.803342\pi\) | |||||||
\(558\) | 6.53532 | − | 17.5219i | 0.276662 | − | 0.741760i | ||||
\(559\) | −5.60213 | − | 6.46520i | −0.236945 | − | 0.273449i | ||||
\(560\) | 2.57130 | − | 2.71765i | 0.108657 | − | 0.114842i | ||||
\(561\) | 13.0461 | + | 3.83068i | 0.550806 | + | 0.161731i | ||||
\(562\) | −12.5880 | + | 0.900310i | −0.530992 | + | 0.0379773i | ||||
\(563\) | 24.3639 | − | 5.30005i | 1.02682 | − | 0.223370i | 0.332548 | − | 0.943086i | \(-0.392092\pi\) |
0.694269 | + | 0.719716i | \(0.255728\pi\) | |||||||
\(564\) | −1.35543 | + | 2.10909i | −0.0570738 | + | 0.0888086i | ||||
\(565\) | −0.987371 | + | 22.5616i | −0.0415390 | + | 0.949172i | ||||
\(566\) | −0.621568 | + | 2.11687i | −0.0261265 | + | 0.0889785i | ||||
\(567\) | −3.85049 | + | 5.14365i | −0.161705 | + | 0.216013i | ||||
\(568\) | −0.811671 | + | 11.3486i | −0.0340570 | + | 0.476179i | ||||
\(569\) | 11.7064 | + | 25.6335i | 0.490758 | + | 1.07461i | 0.979364 | + | 0.202106i | \(0.0647785\pi\) |
−0.488606 | + | 0.872505i | \(0.662494\pi\) | |||||||
\(570\) | −5.42940 | + | 0.934587i | −0.227413 | + | 0.0391455i | ||||
\(571\) | 19.0112 | + | 8.68214i | 0.795595 | + | 0.363336i | 0.771383 | − | 0.636371i | \(-0.219565\pi\) |
0.0242118 | + | 0.999707i | \(0.492292\pi\) | |||||||
\(572\) | −6.12466 | + | 4.58486i | −0.256085 | + | 0.191703i | ||||
\(573\) | 1.56340 | − | 7.18684i | 0.0653120 | − | 0.300235i | ||||
\(574\) | −12.5237 | −0.522730 | ||||||||
\(575\) | 5.20778 | − | 23.4068i | 0.217179 | − | 0.976132i | ||||
\(576\) | 2.38461 | 0.0993587 | ||||||||
\(577\) | −3.41363 | + | 15.6922i | −0.142111 | + | 0.653275i | 0.849881 | + | 0.526975i | \(0.176674\pi\) |
−0.991992 | + | 0.126300i | \(0.959690\pi\) | |||||||
\(578\) | −1.79534 | + | 1.34398i | −0.0746764 | + | 0.0559020i | ||||
\(579\) | −5.16713 | − | 2.35975i | −0.214739 | − | 0.0980679i | ||||
\(580\) | 21.4375 | − | 3.69014i | 0.890145 | − | 0.153225i | ||||
\(581\) | 3.08120 | + | 6.74688i | 0.127830 | + | 0.279908i | ||||
\(582\) | 0.0743146 | − | 1.03905i | 0.00308044 | − | 0.0430702i | ||||
\(583\) | −12.2892 | + | 16.4164i | −0.508965 | + | 0.679897i | ||||
\(584\) | −1.17086 | + | 3.98759i | −0.0484506 | + | 0.165008i | ||||
\(585\) | −0.395310 | + | 9.03287i | −0.0163440 | + | 0.373463i | ||||
\(586\) | −14.9817 | + | 23.3120i | −0.618888 | + | 0.963009i | ||||
\(587\) | −26.2077 | + | 5.70114i | −1.08171 | + | 0.235311i | −0.717888 | − | 0.696158i | \(-0.754891\pi\) |
−0.363819 | + | 0.931469i | \(0.618527\pi\) | |||||||
\(588\) | −3.28681 | + | 0.235078i | −0.135546 | + | 0.00969443i | ||||
\(589\) | −23.6331 | − | 6.93930i | −0.973785 | − | 0.285929i | ||||
\(590\) | 10.6157 | − | 11.2200i | 0.437043 | − | 0.461919i | ||||
\(591\) | −5.92292 | − | 6.83541i | −0.243636 | − | 0.281171i | ||||
\(592\) | 4.16000 | − | 11.1534i | 0.170975 | − | 0.458402i | ||||
\(593\) | −2.99176 | − | 1.63363i | −0.122857 | − | 0.0670850i | 0.416645 | − | 0.909069i | \(-0.363206\pi\) |
−0.539502 | + | 0.841984i | \(0.681388\pi\) | |||||||
\(594\) | −7.91718 | + | 17.3362i | −0.324846 | + | 0.711313i | ||||
\(595\) | 13.8968 | + | 3.66614i | 0.569713 | + | 0.150297i | ||||
\(596\) | 1.19959 | + | 1.86660i | 0.0491371 | + | 0.0764589i | ||||
\(597\) | −11.7734 | − | 11.7734i | −0.481853 | − | 0.481853i | ||||
\(598\) | 6.20587 | + | 5.25532i | 0.253777 | + | 0.214906i | ||||
\(599\) | 25.3198i | 1.03454i | 0.855823 | + | 0.517269i | \(0.173051\pi\) | ||||
−0.855823 | + | 0.517269i | \(0.826949\pi\) | |||||||
\(600\) | −1.31148 | − | 3.69659i | −0.0535410 | − | 0.150913i | ||||
\(601\) | 1.56139 | − | 10.8597i | 0.0636906 | − | 0.442978i | −0.932877 | − | 0.360195i | \(-0.882710\pi\) |
0.996568 | − | 0.0827828i | \(-0.0263808\pi\) | |||||||
\(602\) | −2.94987 | − | 7.90891i | −0.120228 | − | 0.322343i | ||||
\(603\) | −0.703473 | + | 1.28831i | −0.0286476 | + | 0.0524642i | ||||
\(604\) | 2.90771 | − | 1.32791i | 0.118313 | − | 0.0540318i | ||||
\(605\) | −11.7945 | − | 17.2821i | −0.479515 | − | 0.702618i | ||||
\(606\) | 0.973366 | + | 6.76991i | 0.0395403 | + | 0.275009i | ||||
\(607\) | 4.60737 | − | 2.51582i | 0.187008 | − | 0.102114i | −0.383018 | − | 0.923741i | \(-0.625115\pi\) |
0.570025 | + | 0.821627i | \(0.306933\pi\) | |||||||
\(608\) | −0.224058 | − | 3.13274i | −0.00908674 | − | 0.127049i | ||||
\(609\) | 10.7416 | + | 6.90320i | 0.435271 | + | 0.279732i | ||||
\(610\) | 0.698030 | + | 7.02318i | 0.0282624 | + | 0.284360i | ||||
\(611\) | 3.54879 | − | 4.09552i | 0.143569 | − | 0.165687i | ||||
\(612\) | 4.39018 | + | 8.04001i | 0.177463 | + | 0.324998i | ||||
\(613\) | −10.3772 | − | 7.76829i | −0.419132 | − | 0.313758i | 0.368813 | − | 0.929504i | \(-0.379764\pi\) |
−0.787945 | + | 0.615745i | \(0.788855\pi\) | |||||||
\(614\) | 24.1291 | − | 20.9080i | 0.973773 | − | 0.843779i | ||||
\(615\) | −5.97129 | + | 11.6934i | −0.240785 | + | 0.471524i | ||||
\(616\) | −7.24329 | + | 2.12682i | −0.291841 | + | 0.0856921i | ||||
\(617\) | 11.5521 | − | 4.30872i | 0.465071 | − | 0.173463i | −0.105995 | − | 0.994367i | \(-0.533803\pi\) |
0.571066 | + | 0.820904i | \(0.306530\pi\) | |||||||
\(618\) | 5.01351 | + | 6.69726i | 0.201673 | + | 0.269403i | ||||
\(619\) | 14.1064 | − | 9.06563i | 0.566984 | − | 0.364378i | −0.225526 | − | 0.974237i | \(-0.572410\pi\) |
0.792510 | + | 0.609859i | \(0.208774\pi\) | |||||||
\(620\) | 2.01456 | − | 17.4200i | 0.0809068 | − | 0.699602i | ||||
\(621\) | 19.8425 | + | 4.08124i | 0.796252 | + | 0.163774i | ||||
\(622\) | −13.3698 | + | 13.3698i | −0.536082 | + | 0.536082i | ||||
\(623\) | 15.1610 | + | 3.29808i | 0.607415 | + | 0.132135i | ||||
\(624\) | 1.31665 | + | 0.189306i | 0.0527084 | + | 0.00757832i | ||||
\(625\) | 19.4101 | − | 15.7559i | 0.776404 | − | 0.630235i | ||||
\(626\) | 4.74411 | + | 16.1570i | 0.189613 | + | 0.645762i | ||||
\(627\) | 10.4156 | + | 3.88480i | 0.415957 | + | 0.155144i | ||||
\(628\) | −3.25304 | − | 0.232662i | −0.129811 | − | 0.00928424i | ||||
\(629\) | 45.2639 | − | 6.50797i | 1.80479 | − | 0.259490i | ||||
\(630\) | −3.48023 | + | 8.21469i | −0.138656 | + | 0.327281i | ||||
\(631\) | −16.3486 | − | 14.1661i | −0.650827 | − | 0.563944i | 0.265632 | − | 0.964075i | \(-0.414419\pi\) |
−0.916458 | + | 0.400130i | \(0.868965\pi\) | |||||||
\(632\) | −0.558795 | − | 2.56874i | −0.0222277 | − | 0.102179i | ||||
\(633\) | 1.12225 | + | 5.15889i | 0.0446054 | + | 0.205048i | ||||
\(634\) | 13.2303 | + | 11.4641i | 0.525443 | + | 0.455299i | ||||
\(635\) | 42.7466 | − | 17.3051i | 1.69635 | − | 0.686733i | ||||
\(636\) | 3.52913 | − | 0.507413i | 0.139939 | − | 0.0201202i | ||||
\(637\) | 7.10458 | + | 0.508130i | 0.281494 | + | 0.0201328i | ||||
\(638\) | −41.1250 | − | 15.3388i | −1.62815 | − | 0.607270i | ||||
\(639\) | −7.64374 | − | 26.0322i | −0.302382 | − | 1.02982i | ||||
\(640\) | 2.17098 | − | 0.535566i | 0.0858157 | − | 0.0211701i | ||||
\(641\) | −6.94442 | − | 0.998456i | −0.274288 | − | 0.0394367i | 0.00379821 | − | 0.999993i | \(-0.498791\pi\) |
−0.278086 | + | 0.960556i | \(0.589700\pi\) | |||||||
\(642\) | −1.56650 | − | 0.340771i | −0.0618248 | − | 0.0134492i | ||||
\(643\) | −1.78726 | + | 1.78726i | −0.0704828 | + | 0.0704828i | −0.741469 | − | 0.670987i | \(-0.765871\pi\) |
0.670987 | + | 0.741469i | \(0.265871\pi\) | |||||||
\(644\) | 3.92523 | + | 6.99855i | 0.154676 | + | 0.275781i | ||||
\(645\) | −8.79104 | − | 1.01666i | −0.346147 | − | 0.0400308i | ||||
\(646\) | 10.1499 | − | 6.52296i | 0.399343 | − | 0.256642i | ||||
\(647\) | 18.1426 | + | 24.2357i | 0.713261 | + | 0.952805i | 0.999986 | − | 0.00520773i | \(-0.00165768\pi\) |
−0.286726 | + | 0.958013i | \(0.592567\pi\) | |||||||
\(648\) | −3.59806 | + | 1.34201i | −0.141345 | + | 0.0527190i | ||||
\(649\) | −29.9043 | + | 8.78071i | −1.17385 | + | 0.344673i | ||||
\(650\) | 1.66882 | + | 8.31245i | 0.0654567 | + | 0.326041i | ||||
\(651\) | 7.77922 | − | 6.74073i | 0.304892 | − | 0.264190i | ||||
\(652\) | −9.59418 | − | 7.18211i | −0.375737 | − | 0.281273i | ||||
\(653\) | −2.30588 | − | 4.22291i | −0.0902361 | − | 0.165255i | 0.828663 | − | 0.559748i | \(-0.189102\pi\) |
−0.918899 | + | 0.394493i | \(0.870920\pi\) | |||||||
\(654\) | −9.79688 | + | 11.3062i | −0.383088 | + | 0.442107i | ||||
\(655\) | −0.321257 | − | 0.263171i | −0.0125526 | − | 0.0102829i | ||||
\(656\) | −6.29687 | − | 4.04675i | −0.245851 | − | 0.157999i | ||||
\(657\) | −0.706991 | − | 9.88502i | −0.0275823 | − | 0.385651i | ||||
\(658\) | 4.69314 | − | 2.56265i | 0.182958 | − | 0.0999024i | ||||
\(659\) | 5.27064 | + | 36.6581i | 0.205315 | + | 1.42800i | 0.788188 | + | 0.615435i | \(0.211020\pi\) |
−0.582873 | + | 0.812564i | \(0.698071\pi\) | |||||||
\(660\) | −1.46777 | + | 7.77713i | −0.0571330 | + | 0.302724i | ||||
\(661\) | 39.6324 | − | 18.0995i | 1.54152 | − | 0.703989i | 0.550148 | − | 0.835067i | \(-0.314571\pi\) |
0.991372 | + | 0.131079i | \(0.0418440\pi\) | |||||||
\(662\) | 10.6864 | − | 19.5707i | 0.415339 | − | 0.760636i | ||||
\(663\) | 1.78575 | + | 4.78779i | 0.0693530 | + | 0.185942i | ||||
\(664\) | −0.630887 | + | 4.38792i | −0.0244832 | + | 0.170284i | ||||
\(665\) | 11.1189 | + | 3.80024i | 0.431172 | + | 0.147367i | ||||
\(666\) | 28.3863i | 1.09995i | ||||||||
\(667\) | −6.11523 | + | 46.2521i | −0.236783 | + | 1.79089i | ||||
\(668\) | 15.3221 | + | 15.3221i | 0.592829 | + | 0.592829i | ||||
\(669\) | 6.67181 | + | 10.3815i | 0.257947 | + | 0.401373i | ||||
\(670\) | −0.351106 | + | 1.33090i | −0.0135644 | + | 0.0514170i | ||||
\(671\) | 5.91595 | − | 12.9541i | 0.228383 | − | 0.500088i | ||||
\(672\) | 1.15199 | + | 0.629032i | 0.0444388 | + | 0.0242654i | ||||
\(673\) | 1.29137 | − | 3.46231i | 0.0497788 | − | 0.133462i | −0.909681 | − | 0.415308i | \(-0.863674\pi\) |
0.959460 | + | 0.281846i | \(0.0909466\pi\) | |||||||
\(674\) | 3.25831 | + | 3.76029i | 0.125506 | + | 0.144841i | ||||
\(675\) | 13.5725 | + | 16.1819i | 0.522408 | + | 0.622840i | ||||
\(676\) | 9.71461 | + | 2.85247i | 0.373639 | + | 0.109710i | ||||
\(677\) | −44.5462 | + | 3.18600i | −1.71205 | + | 0.122448i | −0.892642 | − | 0.450766i | \(-0.851151\pi\) |
−0.819406 | + | 0.573214i | \(0.805697\pi\) | |||||||
\(678\) | −7.74168 | + | 1.68410i | −0.297317 | + | 0.0646774i | ||||
\(679\) | −1.20120 | + | 1.86910i | −0.0460978 | + | 0.0717295i | ||||
\(680\) | 5.80262 | + | 6.33375i | 0.222520 | + | 0.242888i | ||||
\(681\) | 2.65938 | − | 9.05701i | 0.101908 | − | 0.347065i | ||||
\(682\) | −21.2048 | + | 28.3263i | −0.811973 | + | 1.08467i | ||||
\(683\) | 1.56618 | − | 21.8981i | 0.0599283 | − | 0.837907i | −0.875237 | − | 0.483695i | \(-0.839295\pi\) |
0.935165 | − | 0.354212i | \(-0.115251\pi\) | |||||||
\(684\) | 3.11122 | + | 6.81263i | 0.118961 | + | 0.260487i | ||||
\(685\) | 8.38941 | + | 5.92534i | 0.320543 | + | 0.226396i | ||||
\(686\) | 17.0467 | + | 7.78498i | 0.650847 | + | 0.297232i | ||||
\(687\) | 12.6875 | − | 9.49777i | 0.484060 | − | 0.362363i | ||||
\(688\) | 1.07240 | − | 4.92975i | 0.0408849 | − | 0.187945i | ||||
\(689\) | −7.70681 | −0.293606 | ||||||||
\(690\) | 8.40609 | − | 0.328099i | 0.320014 | − | 0.0124905i | ||||
\(691\) | 19.0780 | 0.725762 | 0.362881 | − | 0.931836i | \(-0.381793\pi\) | ||||
0.362881 | + | 0.931836i | \(0.381793\pi\) | |||||||
\(692\) | −0.0584752 | + | 0.268806i | −0.00222290 | + | 0.0102185i | ||||
\(693\) | 14.4110 | − | 10.7880i | 0.547430 | − | 0.409801i | ||||
\(694\) | −5.41735 | − | 2.47402i | −0.205640 | − | 0.0939126i | ||||
\(695\) | −3.60308 | − | 20.9318i | −0.136673 | − | 0.793988i | ||||
\(696\) | 3.17021 | + | 6.94180i | 0.120167 | + | 0.263128i | ||||
\(697\) | 2.05130 | − | 28.6810i | 0.0776987 | − | 1.08637i | ||||
\(698\) | −7.23098 | + | 9.65946i | −0.273697 | + | 0.365616i | ||||
\(699\) | −1.82511 | + | 6.21576i | −0.0690320 | + | 0.235101i | ||||
\(700\) | −1.32349 | + | 8.26041i | −0.0500233 | + | 0.312214i | ||||
\(701\) | −6.32785 | + | 9.84632i | −0.238999 | + | 0.371890i | −0.939946 | − | 0.341324i | \(-0.889125\pi\) |
0.700946 | + | 0.713214i | \(0.252761\pi\) | |||||||
\(702\) | −6.99889 | + | 1.52251i | −0.264156 | + | 0.0574636i | ||||
\(703\) | 37.2919 | − | 2.66717i | 1.40649 | − | 0.100594i | ||||
\(704\) | −4.32913 | − | 1.27115i | −0.163160 | − | 0.0479081i | ||||
\(705\) | −0.155066 | − | 5.60385i | −0.00584013 | − | 0.211053i | ||||
\(706\) | −22.1429 | − | 25.5543i | −0.833359 | − | 0.961748i | ||||
\(707\) | 5.09787 | − | 13.6679i | 0.191725 | − | 0.514035i | ||||
\(708\) | 4.75604 | + | 2.59699i | 0.178743 | + | 0.0976009i | ||||
\(709\) | −13.8682 | + | 30.3671i | −0.520831 | + | 1.14046i | 0.448293 | + | 0.893887i | \(0.352032\pi\) |
−0.969124 | + | 0.246574i | \(0.920695\pi\) | |||||||
\(710\) | −12.8056 | − | 21.9834i | −0.480587 | − | 0.825021i | ||||
\(711\) | 3.38911 | + | 5.27356i | 0.127102 | + | 0.197774i | ||||
\(712\) | 6.55721 | + | 6.55721i | 0.245742 | + | 0.245742i | ||||
\(713\) | 34.3869 | + | 15.2348i | 1.28780 | + | 0.570549i | ||||
\(714\) | 5.04214i | 0.188698i | ||||||||
\(715\) | 5.53276 | − | 16.1880i | 0.206913 | − | 0.605396i | ||||
\(716\) | −2.74928 | + | 19.1217i | −0.102745 | + | 0.714610i | ||||
\(717\) | −4.59641 | − | 12.3235i | −0.171656 | − | 0.460228i | ||||
\(718\) | 14.0285 | − | 25.6913i | 0.523540 | − | 0.958791i | ||||
\(719\) | 20.4995 | − | 9.36179i | 0.764501 | − | 0.349136i | 0.00529470 | − | 0.999986i | \(-0.498315\pi\) |
0.759206 | + | 0.650850i | \(0.225587\pi\) | |||||||
\(720\) | −4.40423 | + | 3.00575i | −0.164136 | + | 0.112018i | ||||
\(721\) | −2.53936 | − | 17.6616i | −0.0945706 | − | 0.657753i | ||||
\(722\) | −8.01827 | + | 4.37831i | −0.298409 | + | 0.162944i | ||||
\(723\) | −0.248677 | − | 3.47695i | −0.00924838 | − | 0.129309i | ||||
\(724\) | −7.69858 | − | 4.94758i | −0.286115 | − | 0.183875i | ||||
\(725\) | −34.9425 | + | 33.8371i | −1.29773 | + | 1.25668i | ||||
\(726\) | 4.80694 | − | 5.54751i | 0.178402 | − | 0.205887i | ||||
\(727\) | 14.1208 | + | 25.8602i | 0.523710 | + | 0.959103i | 0.996940 | + | 0.0781647i | \(0.0249060\pi\) |
−0.473230 | + | 0.880939i | \(0.656912\pi\) | |||||||
\(728\) | −2.27122 | − | 1.70021i | −0.0841769 | − | 0.0630140i | ||||
\(729\) | −0.592199 | + | 0.513143i | −0.0219333 | + | 0.0190053i | ||||
\(730\) | −2.86376 | − | 8.84069i | −0.105993 | − | 0.327209i | ||||
\(731\) | 18.5956 | − | 5.46016i | 0.687784 | − | 0.201951i | ||||
\(732\) | −2.31993 | + | 0.865290i | −0.0857472 | + | 0.0319821i | ||||
\(733\) | 0.363562 | + | 0.485661i | 0.0134285 | + | 0.0179383i | 0.807205 | − | 0.590271i | \(-0.200979\pi\) |
−0.793777 | + | 0.608209i | \(0.791888\pi\) | |||||||
\(734\) | −23.1321 | + | 14.8661i | −0.853822 | + | 0.548718i | ||||
\(735\) | 5.77424 | − | 4.57714i | 0.212986 | − | 0.168830i | ||||
\(736\) | −0.287830 | + | 4.78719i | −0.0106096 | + | 0.176458i | ||||
\(737\) | 1.96387 | − | 1.96387i | 0.0723401 | − | 0.0723401i | ||||
\(738\) | 17.4411 | + | 3.79409i | 0.642017 | + | 0.139662i | ||||
\(739\) | −47.4485 | − | 6.82207i | −1.74542 | − | 0.250954i | −0.805562 | − | 0.592512i | \(-0.798136\pi\) |
−0.939861 | + | 0.341558i | \(0.889045\pi\) | |||||||
\(740\) | 6.37536 | + | 25.8433i | 0.234363 | + | 0.950018i | ||||
\(741\) | 1.17702 | + | 4.00856i | 0.0432389 | + | 0.147258i | ||||
\(742\) | −7.12504 | − | 2.65750i | −0.261568 | − | 0.0975600i | ||||
\(743\) | 7.65113 | + | 0.547219i | 0.280693 | + | 0.0200755i | 0.210976 | − | 0.977491i | \(-0.432336\pi\) |
0.0697168 | + | 0.997567i | \(0.477790\pi\) | |||||||
\(744\) | 6.08947 | − | 0.875534i | 0.223251 | − | 0.0320986i | ||||
\(745\) | −4.56838 | − | 1.93544i | −0.167373 | − | 0.0709090i | ||||
\(746\) | −14.3324 | − | 12.4191i | −0.524745 | − | 0.454694i | ||||
\(747\) | −2.24704 | − | 10.3295i | −0.0822150 | − | 0.377936i | ||||
\(748\) | −3.68430 | − | 16.9365i | −0.134711 | − | 0.619258i | ||||
\(749\) | 2.58409 | + | 2.23913i | 0.0944207 | + | 0.0818160i | ||||
\(750\) | 7.08171 | + | 5.17429i | 0.258588 | + | 0.188938i | ||||
\(751\) | −29.3300 | + | 4.21702i | −1.07027 | + | 0.153881i | −0.654857 | − | 0.755752i | \(-0.727271\pi\) |
−0.415411 | + | 0.909634i | \(0.636362\pi\) | |||||||
\(752\) | 3.18775 | + | 0.227992i | 0.116245 | + | 0.00831402i | ||||
\(753\) | −11.2123 | − | 4.18196i | −0.408598 | − | 0.152399i | ||||
\(754\) | −4.64737 | − | 15.8275i | −0.169247 | − | 0.576403i | ||||
\(755\) | −3.69657 | + | 6.11768i | −0.134532 | + | 0.222645i | ||||
\(756\) | −6.99556 | − | 1.00581i | −0.254426 | − | 0.0365809i | ||||
\(757\) | 37.2775 | + | 8.10922i | 1.35487 | + | 0.294735i | 0.830625 | − | 0.556832i | \(-0.187983\pi\) |
0.524247 | + | 0.851566i | \(0.324347\pi\) | |||||||
\(758\) | −9.40913 | + | 9.40913i | −0.341755 | + | 0.341755i | ||||
\(759\) | −14.9896 | − | 7.96547i | −0.544086 | − | 0.289128i | ||||
\(760\) | 4.36257 | + | 5.50356i | 0.158247 | + | 0.199635i | ||||
\(761\) | −18.8519 | + | 12.1154i | −0.683379 | + | 0.439181i | −0.835727 | − | 0.549146i | \(-0.814953\pi\) |
0.152347 | + | 0.988327i | \(0.451317\pi\) | |||||||
\(762\) | 9.69563 | + | 12.9518i | 0.351236 | + | 0.469196i | ||||
\(763\) | 29.8961 | − | 11.1507i | 1.08231 | − | 0.403681i | ||||
\(764\) | −8.99589 | + | 2.64143i | −0.325460 | + | 0.0955637i | ||||
\(765\) | −18.2427 | − | 9.31570i | −0.659565 | − | 0.336810i | ||||
\(766\) | 7.19252 | − | 6.23235i | 0.259876 | − | 0.225184i | ||||
\(767\) | −9.37685 | − | 7.01942i | −0.338578 | − | 0.253457i | ||||
\(768\) | 0.375956 | + | 0.688512i | 0.0135661 | + | 0.0248445i | ||||
\(769\) | 1.16713 | − | 1.34694i | 0.0420879 | − | 0.0485720i | −0.734315 | − | 0.678809i | \(-0.762497\pi\) |
0.776403 | + | 0.630237i | \(0.217042\pi\) | |||||||
\(770\) | 10.6971 | − | 13.0581i | 0.385497 | − | 0.470583i | ||||
\(771\) | −12.8547 | − | 8.26122i | −0.462951 | − | 0.297521i | ||||
\(772\) | 0.516578 | + | 7.22271i | 0.0185921 | + | 0.259951i | ||||
\(773\) | 13.8589 | − | 7.56752i | 0.498469 | − | 0.272185i | −0.210285 | − | 0.977640i | \(-0.567439\pi\) |
0.708754 | + | 0.705455i | \(0.249257\pi\) | |||||||
\(774\) | 1.71211 | + | 11.9080i | 0.0615406 | + | 0.428024i | ||||
\(775\) | 18.2367 | + | 34.7130i | 0.655083 | + | 1.24693i | ||||
\(776\) | −1.20791 | + | 0.551636i | −0.0433616 | + | 0.0198026i | ||||
\(777\) | −7.48796 | + | 13.7132i | −0.268629 | + | 0.491958i | ||||
\(778\) | 7.50479 | + | 20.1211i | 0.269060 | + | 0.721377i | ||||
\(779\) | 3.34564 | − | 23.2695i | 0.119870 | − | 0.833715i | ||||
\(780\) | −2.67040 | + | 1.30998i | −0.0956157 | + | 0.0469048i | ||||
\(781\) | 51.3346i | 1.83690i | ||||||||
\(782\) | −16.6705 | + | 7.84299i | −0.596137 | + | 0.280465i | ||||
\(783\) | −29.0566 | − | 29.0566i | −1.03840 | − | 1.03840i | ||||
\(784\) | 2.27099 | + | 3.53374i | 0.0811069 | + | 0.126205i | ||||
\(785\) | 6.30145 | − | 3.67068i | 0.224908 | − | 0.131012i | ||||
\(786\) | 0.0605234 | − | 0.132528i | 0.00215880 | − | 0.00472711i | ||||
\(787\) | −5.81160 | − | 3.17337i | −0.207161 | − | 0.113118i | 0.372319 | − | 0.928105i | \(-0.378563\pi\) |
−0.579480 | + | 0.814986i | \(0.696744\pi\) | |||||||
\(788\) | −4.02915 | + | 10.8026i | −0.143533 | + | 0.384826i | ||||
\(789\) | 12.3760 | + | 14.2826i | 0.440596 | + | 0.508475i | ||||
\(790\) | 4.26990 | + | 4.03996i | 0.151916 | + | 0.143735i | ||||
\(791\) | 16.2135 | + | 4.76071i | 0.576486 | + | 0.169271i | ||||
\(792\) | 10.7317 | − | 0.767545i | 0.381334 | − | 0.0272735i | ||||
\(793\) | 5.22977 | − | 1.13767i | 0.185715 | − | 0.0403997i | ||||
\(794\) | −10.4497 | + | 16.2601i | −0.370847 | + | 0.577050i | ||||
\(795\) | −5.87852 | + | 5.38556i | −0.208489 | + | 0.191006i | ||||
\(796\) | −5.97968 | + | 20.3649i | −0.211944 | + | 0.721815i | ||||
\(797\) | 25.5617 | − | 34.1465i | 0.905443 | − | 1.20953i | −0.0718031 | − | 0.997419i | \(-0.522875\pi\) |
0.977246 | − | 0.212111i | \(-0.0680338\pi\) | |||||||
\(798\) | −0.294084 | + | 4.11183i | −0.0104105 | + | 0.145557i | ||||
\(799\) | 5.10009 | + | 11.1676i | 0.180428 | + | 0.395083i | ||||
\(800\) | −3.33461 | + | 3.72564i | −0.117896 | + | 0.131721i | ||||
\(801\) | −20.1148 | − | 9.18614i | −0.710723 | − | 0.324576i | ||||
\(802\) | 28.4159 | − | 21.2719i | 1.00340 | − | 0.751137i | ||||
\(803\) | −3.98584 | + | 18.3226i | −0.140657 | + | 0.646590i | ||||
\(804\) | −0.482886 | −0.0170301 | ||||||||
\(805\) | −16.0712 | − | 7.97823i | −0.566435 | − | 0.281196i | ||||
\(806\) | −13.2980 | −0.468402 | ||||||||
\(807\) | 3.90801 | − | 17.9648i | 0.137569 | − | 0.632392i | ||||
\(808\) | 6.97966 | − | 5.22490i | 0.245543 | − | 0.183812i | ||||
\(809\) | 20.3427 | + | 9.29021i | 0.715212 | + | 0.326626i | 0.739572 | − | 0.673077i | \(-0.235028\pi\) |
−0.0243607 | + | 0.999703i | \(0.507755\pi\) | |||||||
\(810\) | 4.95383 | − | 7.01389i | 0.174060 | − | 0.246443i | ||||
\(811\) | 13.3790 | + | 29.2960i | 0.469801 | + | 1.02872i | 0.985143 | + | 0.171736i | \(0.0549376\pi\) |
−0.515342 | + | 0.856985i | \(0.672335\pi\) | |||||||
\(812\) | 1.16117 | − | 16.2352i | 0.0407489 | − | 0.569745i | ||||
\(813\) | −0.130487 | + | 0.174310i | −0.00457636 | + | 0.00611330i | ||||
\(814\) | 15.1317 | − | 51.5337i | 0.530365 | − | 1.80626i | ||||
\(815\) | 26.7728 | + | 1.17167i | 0.937810 | + | 0.0410418i | ||||
\(816\) | −1.62925 | + | 2.53517i | −0.0570353 | + | 0.0887486i | ||||
\(817\) | 15.4830 | − | 3.36813i | 0.541683 | − | 0.117836i | ||||
\(818\) | −25.1466 | + | 1.79852i | −0.879230 | + | 0.0628838i | ||||
\(819\) | 6.49133 | + | 1.90603i | 0.226825 | + | 0.0666020i | ||||
\(820\) | 16.7308 | − | 0.462964i | 0.584265 | − | 0.0161674i | ||||
\(821\) | 9.12593 | + | 10.5319i | 0.318497 | + | 0.367565i | 0.892312 | − | 0.451420i | \(-0.149082\pi\) |
−0.573814 | + | 0.818985i | \(0.694537\pi\) | |||||||
\(822\) | −1.25922 | + | 3.37611i | −0.0439205 | + | 0.117755i | ||||
\(823\) | −14.4786 | − | 7.90592i | −0.504692 | − | 0.275583i | 0.206667 | − | 0.978411i | \(-0.433738\pi\) |
−0.711359 | + | 0.702828i | \(0.751920\pi\) | |||||||
\(824\) | 4.43017 | − | 9.70071i | 0.154332 | − | 0.337940i | ||||
\(825\) | −7.09203 | − | 16.2140i | −0.246913 | − | 0.564499i | ||||
\(826\) | −6.24853 | − | 9.72291i | −0.217414 | − | 0.338303i | ||||
\(827\) | −17.6102 | − | 17.6102i | −0.612368 | − | 0.612368i | 0.331194 | − | 0.943563i | \(-0.392548\pi\) |
−0.943563 | + | 0.331194i | \(0.892548\pi\) | |||||||
\(828\) | −3.34624 | − | 10.9357i | −0.116290 | − | 0.380041i | ||||
\(829\) | 26.5027i | 0.920477i | 0.887795 | + | 0.460238i | \(0.152236\pi\) | ||||
−0.887795 | + | 0.460238i | \(0.847764\pi\) | |||||||
\(830\) | −4.36567 | − | 8.89945i | −0.151535 | − | 0.308904i | ||||
\(831\) | −1.16464 | + | 8.10022i | −0.0404008 | + | 0.280993i | ||||
\(832\) | −0.592573 | − | 1.58875i | −0.0205438 | − | 0.0550800i | ||||
\(833\) | −7.73344 | + | 14.1627i | −0.267948 | + | 0.490710i | ||||
\(834\) | 6.77803 | − | 3.09542i | 0.234704 | − | 0.107186i | ||||
\(835\) | −47.6121 | − | 8.98580i | −1.64769 | − | 0.310967i | ||||
\(836\) | −2.01670 | − | 14.0264i | −0.0697489 | − | 0.485114i | ||||
\(837\) | −29.0745 | + | 15.8759i | −1.00496 | + | 0.548751i | ||||
\(838\) | 0.142676 | + | 1.99487i | 0.00492867 | + | 0.0689118i | ||||
\(839\) | −27.6812 | − | 17.7896i | −0.955661 | − | 0.614166i | −0.0328669 | − | 0.999460i | \(-0.510464\pi\) |
−0.922794 | + | 0.385294i | \(0.874100\pi\) | |||||||
\(840\) | −2.92053 | + | 0.290270i | −0.100768 | + | 0.0100153i | ||||
\(841\) | 42.9831 | − | 49.6052i | 1.48218 | − | 1.71052i | ||||
\(842\) | 4.60664 | + | 8.43644i | 0.158755 | + | 0.290739i | ||||
\(843\) | 7.92544 | + | 5.93291i | 0.272967 | + | 0.204340i | ||||
\(844\) | 5.08627 | − | 4.40727i | 0.175076 | − | 0.151705i | ||||
\(845\) | −21.5378 | + | 6.97673i | −0.740922 | + | 0.240007i | ||||
\(846\) | −7.31225 | + | 2.14707i | −0.251400 | + | 0.0738178i | ||||
\(847\) | −14.6689 | + | 5.47120i | −0.504028 | + | 0.187993i | ||||
\(848\) | −2.72373 | − | 3.63847i | −0.0935331 | − | 0.124946i | ||||
\(849\) | 1.45598 | − | 0.935699i | 0.0499690 | − | 0.0321131i | ||||
\(850\) | −18.7006 | − | 4.38397i | −0.641427 | − | 0.150369i | ||||
\(851\) | −56.9864 | − | 3.42632i | −1.95347 | − | 0.117453i | ||||
\(852\) | 6.31121 | − | 6.31121i | 0.216218 | − | 0.216218i | ||||
\(853\) | −27.2728 | − | 5.93283i | −0.933802 | − | 0.203136i | −0.280172 | − | 0.959950i | \(-0.590391\pi\) |
−0.653631 | + | 0.756814i | \(0.726755\pi\) | |||||||
\(854\) | 5.22728 | + | 0.751570i | 0.178874 | + | 0.0257182i | ||||
\(855\) | −14.3334 | − | 8.66089i | −0.490193 | − | 0.296196i | ||||
\(856\) | 0.575747 | + | 1.96081i | 0.0196786 | + | 0.0670193i | ||||
\(857\) | 31.5700 | + | 11.7750i | 1.07841 | + | 0.402226i | 0.825000 | − | 0.565132i | \(-0.191175\pi\) |
0.253411 | + | 0.967359i | \(0.418448\pi\) | |||||||
\(858\) | 5.98640 | + | 0.428156i | 0.204372 | + | 0.0146170i | ||||
\(859\) | 40.8861 | − | 5.87853i | 1.39501 | − | 0.200573i | 0.596531 | − | 0.802590i | \(-0.296545\pi\) |
0.798483 | + | 0.602017i | \(0.205636\pi\) | |||||||
\(860\) | 4.23318 | + | 10.4567i | 0.144350 | + | 0.356570i | ||||
\(861\) | 7.42484 | + | 6.43366i | 0.253038 | + | 0.219258i | ||||
\(862\) | 1.49636 | + | 6.87865i | 0.0509661 | + | 0.234288i | ||||
\(863\) | −1.82313 | − | 8.38081i | −0.0620602 | − | 0.285286i | 0.935649 | − | 0.352931i | \(-0.114815\pi\) |
−0.997709 | + | 0.0676451i | \(0.978451\pi\) | |||||||
\(864\) | −3.19233 | − | 2.76617i | −0.108605 | − | 0.0941070i | ||||
\(865\) | −0.230825 | − | 0.570176i | −0.00784827 | − | 0.0193866i | ||||
\(866\) | 34.1821 | − | 4.91465i | 1.16156 | − | 0.167007i | ||||
\(867\) | 1.75481 | + | 0.125507i | 0.0595966 | + | 0.00426243i | ||||
\(868\) | −12.2942 | − | 4.58548i | −0.417291 | − | 0.155641i | ||||
\(869\) | −3.34161 | − | 11.3805i | −0.113356 | − | 0.386056i | ||||
\(870\) | −14.6052 | − | 8.82510i | −0.495162 | − | 0.299199i | ||||
\(871\) | 1.03315 | + | 0.148545i | 0.0350071 | + | 0.00503326i | ||||
\(872\) | 18.6347 | + | 4.05373i | 0.631051 | + | 0.137277i | ||||
\(873\) | 2.23909 | − | 2.23909i | 0.0757819 | − | 0.0757819i | ||||
\(874\) | −14.0521 | + | 5.42358i | −0.475320 | + | 0.183455i | ||||
\(875\) | −7.96767 | − | 16.9247i | −0.269356 | − | 0.572160i | ||||
\(876\) | 2.74265 | − | 1.76260i | 0.0926657 | − | 0.0595526i | ||||
\(877\) | −8.53720 | − | 11.4044i | −0.288281 | − | 0.385098i | 0.632900 | − | 0.774234i | \(-0.281865\pi\) |
−0.921180 | + | 0.389136i | \(0.872774\pi\) | |||||||
\(878\) | 17.4224 | − | 6.49822i | 0.587978 | − | 0.219304i | ||||
\(879\) | 20.8579 | − | 6.12442i | 0.703518 | − | 0.206571i | ||||
\(880\) | 9.59790 | − | 3.10905i | 0.323545 | − | 0.104806i | ||||
\(881\) | −17.0329 | + | 14.7591i | −0.573852 | + | 0.497245i | −0.892755 | − | 0.450542i | \(-0.851231\pi\) |
0.318904 | + | 0.947787i | \(0.396685\pi\) | |||||||
\(882\) | −8.01878 | − | 6.00278i | −0.270006 | − | 0.202124i | ||||
\(883\) | −11.9760 | − | 21.9325i | −0.403025 | − | 0.738086i | 0.594809 | − | 0.803867i | \(-0.297228\pi\) |
−0.997834 | + | 0.0657813i | \(0.979046\pi\) | |||||||
\(884\) | 4.26572 | − | 4.92290i | 0.143472 | − | 0.165575i | ||||
\(885\) | −12.0576 | + | 1.19840i | −0.405311 | + | 0.0402836i | ||||
\(886\) | 13.9961 | + | 8.99476i | 0.470209 | + | 0.302185i | ||||
\(887\) | 4.07578 | + | 56.9868i | 0.136851 | + | 1.91343i | 0.350573 | + | 0.936535i | \(0.385987\pi\) |
−0.213722 | + | 0.976894i | \(0.568559\pi\) | |||||||
\(888\) | −8.19601 | + | 4.47536i | −0.275040 | + | 0.150183i | ||||
\(889\) | −4.91087 | − | 34.1558i | −0.164705 | − | 1.14555i | ||||
\(890\) | −20.3760 | − | 3.84555i | −0.683005 | − | 0.128903i | ||||
\(891\) | −15.7607 | + | 7.19768i | −0.528004 | + | 0.241132i | ||||
\(892\) | 7.53911 | − | 13.8068i | 0.252428 | − | 0.462287i | ||||
\(893\) | 3.50773 | + | 9.40459i | 0.117382 | + | 0.314713i | ||||
\(894\) | 0.247714 | − | 1.72289i | 0.00828478 | − | 0.0576219i | ||||
\(895\) | −19.0247 | − | 38.7820i | −0.635926 | − | 1.29634i | ||||
\(896\) | − | 1.67315i | − | 0.0558961i | ||||||
\(897\) | −0.979471 | − | 6.30375i | −0.0327036 | − | 0.210476i | ||||
\(898\) | 15.7266 | + | 15.7266i | 0.524803 | + | 0.524803i | ||||
\(899\) | −41.2464 | − | 64.1807i | −1.37565 | − | 2.14055i | ||||
\(900\) | 4.34567 | − | 11.1029i | 0.144856 | − | 0.370096i | ||||
\(901\) | 7.25306 | − | 15.8820i | 0.241635 | − | 0.529106i | ||||
\(902\) | −29.6410 | − | 16.1852i | −0.986936 | − | 0.538908i | ||||
\(903\) | −2.31408 | + | 6.20429i | −0.0770078 | + | 0.206466i | ||||
\(904\) | 6.61376 | + | 7.63269i | 0.219970 | + | 0.253859i | ||||
\(905\) | 20.4551 | − | 0.566021i | 0.679952 | − | 0.0188152i | ||||
\(906\) | −2.40604 | − | 0.706478i | −0.0799354 | − | 0.0234712i | ||||
\(907\) | 31.2813 | − | 2.23728i | 1.03868 | − | 0.0742878i | 0.458433 | − | 0.888729i | \(-0.348411\pi\) |
0.580246 | + | 0.814441i | \(0.302956\pi\) | |||||||
\(908\) | −11.7578 | + | 2.55776i | −0.390197 | + | 0.0848822i | ||||
\(909\) | −11.2403 | + | 17.4902i | −0.372816 | + | 0.580113i | ||||
\(910\) | 6.33789 | + | 0.277368i | 0.210099 | + | 0.00919465i | ||||
\(911\) | −0.944917 | + | 3.21809i | −0.0313065 | + | 0.106620i | −0.973664 | − | 0.227987i | \(-0.926786\pi\) |
0.942358 | + | 0.334607i | \(0.108604\pi\) | |||||||
\(912\) | −1.47651 | + | 1.97238i | −0.0488920 | + | 0.0653121i | ||||
\(913\) | −1.42688 | + | 19.9504i | −0.0472229 | + | 0.660263i | ||||
\(914\) | −11.7983 | − | 25.8347i | −0.390253 | − | 0.854536i | ||||
\(915\) | 3.19410 | − | 4.52237i | 0.105594 | − | 0.149505i | ||||
\(916\) | −18.3774 | − | 8.39267i | −0.607206 | − | 0.277302i | ||||
\(917\) | −0.248762 | + | 0.186221i | −0.00821486 | + | 0.00614957i | ||||
\(918\) | 3.44926 | − | 15.8560i | 0.113843 | − | 0.523326i | ||||
\(919\) | −49.4619 | −1.63160 | −0.815798 | − | 0.578337i | \(-0.803702\pi\) | ||||
−0.815798 | + | 0.578337i | \(0.803702\pi\) | |||||||
\(920\) | −5.50255 | − | 9.20446i | −0.181414 | − | 0.303462i | ||||
\(921\) | −25.0461 | −0.825296 | ||||||||
\(922\) | −6.88071 | + | 31.6301i | −0.226604 | + | 1.04168i | ||||
\(923\) | −15.4445 | + | 11.5616i | −0.508363 | + | 0.380556i | ||||
\(924\) | 5.38686 | + | 2.46010i | 0.177215 | + | 0.0809312i | ||||
\(925\) | −44.3498 | − | 39.6950i | −1.45821 | − | 1.30516i | ||||
\(926\) | 5.67582 | + | 12.4283i | 0.186519 | + | 0.408419i | ||||
\(927\) | −1.81419 | + | 25.3657i | −0.0595859 | + | 0.833119i | ||||
\(928\) | 5.82987 | − | 7.78779i | 0.191375 | − | 0.255647i | ||||
\(929\) | −14.5800 | + | 49.6549i | −0.478354 | + | 1.62912i | 0.267888 | + | 0.963450i | \(0.413674\pi\) |
−0.746242 | + | 0.665674i | \(0.768144\pi\) | |||||||
\(930\) | −10.1433 | + | 9.29271i | −0.332612 | + | 0.304720i | ||||
\(931\) | −7.13260 | + | 11.0985i | −0.233761 | + | 0.363740i | ||||
\(932\) | 8.06931 | − | 1.75537i | 0.264319 | − | 0.0574991i | ||||
\(933\) | 14.7948 | − | 1.05814i | 0.484360 | − | 0.0346421i | ||||
\(934\) | −3.99679 | − | 1.17356i | −0.130779 | − | 0.0384001i | ||||
\(935\) | 28.1527 | + | 26.6366i | 0.920693 | + | 0.871112i | ||||
\(936\) | 2.64792 | + | 3.05587i | 0.0865501 | + | 0.0998841i | ||||
\(937\) | 16.1461 | − | 43.2893i | 0.527470 | − | 1.41420i | −0.350988 | − | 0.936380i | \(-0.614154\pi\) |
0.878457 | − | 0.477821i | \(-0.158573\pi\) | |||||||
\(938\) | 0.903942 | + | 0.493590i | 0.0295147 | + | 0.0161163i | ||||
\(939\) | 5.48751 | − | 12.0160i | 0.179078 | − | 0.392127i | ||||
\(940\) | −6.17496 | + | 3.59700i | −0.201405 | + | 0.117321i | ||||
\(941\) | 7.54865 | + | 11.7459i | 0.246079 | + | 0.382906i | 0.942218 | − | 0.335001i | \(-0.108737\pi\) |
−0.696139 | + | 0.717907i | \(0.745100\pi\) | |||||||
\(942\) | 1.80908 | + | 1.80908i | 0.0589431 | + | 0.0589431i | ||||
\(943\) | −9.72197 | + | 34.5557i | −0.316591 | + | 1.12529i | ||||
\(944\) | − | 6.90770i | − | 0.224827i | ||||||
\(945\) | 14.1882 | − | 6.96009i | 0.461542 | − | 0.226412i | ||||
\(946\) | 3.23947 | − | 22.5310i | 0.105324 | − | 0.732545i | ||||
\(947\) | 15.7544 | + | 42.2392i | 0.511950 | + | 1.37259i | 0.893841 | + | 0.448383i | \(0.148000\pi\) |
−0.381892 | + | 0.924207i | \(0.624727\pi\) | |||||||
\(948\) | −0.988319 | + | 1.80997i | −0.0320991 | + | 0.0587851i | ||||
\(949\) | −6.41023 | + | 2.92745i | −0.208085 | + | 0.0950292i | ||||
\(950\) | −14.9945 | − | 4.66581i | −0.486487 | − | 0.151379i | ||||
\(951\) | −1.95442 | − | 13.5933i | −0.0633765 | − | 0.440793i | ||||
\(952\) | 5.64125 | − | 3.08036i | 0.182834 | − | 0.0998349i | ||||
\(953\) | 3.88293 | + | 54.2904i | 0.125780 | + | 1.75864i | 0.533749 | + | 0.845643i | \(0.320783\pi\) |
−0.407969 | + | 0.912996i | \(0.633763\pi\) | |||||||
\(954\) | 9.11757 | + | 5.85951i | 0.295192 | + | 0.189709i | ||||
\(955\) | 13.2854 | − | 16.2177i | 0.429906 | − | 0.524793i | ||||
\(956\) | −10.9797 | + | 12.6712i | −0.355108 | + | 0.409817i | ||||
\(957\) | 16.5016 | + | 30.2204i | 0.533421 | + | 0.976888i | ||||
\(958\) | −6.39732 | − | 4.78897i | −0.206688 | − | 0.154725i | ||||
\(959\) | 5.80815 | − | 5.03279i | 0.187555 | − | 0.162517i | ||||
\(960\) | −1.56222 | − | 0.797756i | −0.0504206 | − | 0.0257475i | ||||
\(961\) | −29.2671 | + | 8.59360i | −0.944100 | + | 0.277213i | ||||
\(962\) | 18.9124 | − | 7.05396i | 0.609760 | − | 0.227429i | ||||
\(963\) | −2.92038 | − | 3.90118i | −0.0941081 | − | 0.125714i | ||||
\(964\) | −3.73816 | + | 2.40237i | −0.120398 | + | 0.0773751i | ||||
\(965\) | −10.0582 | − | 12.6888i | −0.323784 | − | 0.408466i | ||||
\(966\) | 1.26816 | − | 6.16563i | 0.0408023 | − | 0.198376i | ||||
\(967\) | 30.1269 | − | 30.1269i | 0.968814 | − | 0.968814i | −0.0307139 | − | 0.999528i | \(-0.509778\pi\) |
0.999528 | + | 0.0307139i | \(0.00977808\pi\) | |||||||
\(968\) | −9.14332 | − | 1.98901i | −0.293878 | − | 0.0639291i | ||||
\(969\) | −9.36846 | − | 1.34698i | −0.300958 | − | 0.0432713i | ||||
\(970\) | 1.53562 | − | 2.54139i | 0.0493058 | − | 0.0815991i | ||||
\(971\) | 7.28019 | + | 24.7940i | 0.233632 | + | 0.795679i | 0.989943 | + | 0.141466i | \(0.0451816\pi\) |
−0.756311 | + | 0.654213i | \(0.773000\pi\) | |||||||
\(972\) | 14.6958 | + | 5.48123i | 0.471367 | + | 0.175811i | ||||
\(973\) | −15.8522 | − | 1.13377i | −0.508198 | − | 0.0363471i | ||||
\(974\) | 12.0766 | − | 1.73635i | 0.386959 | − | 0.0556363i | ||||
\(975\) | 3.28087 | − | 5.78544i | 0.105072 | − | 0.185282i | ||||
\(976\) | 2.38540 | + | 2.06696i | 0.0763548 | + | 0.0661618i | ||||
\(977\) | 6.12814 | + | 28.1706i | 0.196056 | + | 0.901257i | 0.965063 | + | 0.262017i | \(0.0843875\pi\) |
−0.769007 | + | 0.639240i | \(0.779249\pi\) | |||||||
\(978\) | 1.99845 | + | 9.18670i | 0.0639032 | + | 0.293758i | ||||
\(979\) | 31.6206 | + | 27.3994i | 1.01060 | + | 0.875689i | ||||
\(980\) | −8.64860 | − | 3.66406i | −0.276269 | − | 0.117044i | ||||
\(981\) | −45.0129 | + | 6.47188i | −1.43715 | + | 0.206631i | ||||
\(982\) | −39.7711 | − | 2.84448i | −1.26915 | − | 0.0907711i | ||||
\(983\) | −14.7725 | − | 5.50986i | −0.471170 | − | 0.175737i | 0.102652 | − | 0.994717i | \(-0.467267\pi\) |
−0.573822 | + | 0.818980i | \(0.694540\pi\) | |||||||
\(984\) | 1.65429 | + | 5.63398i | 0.0527367 | + | 0.179605i | ||||
\(985\) | −6.17482 | − | 25.0304i | −0.196746 | − | 0.797534i | ||||
\(986\) | 36.9906 | + | 5.31845i | 1.17802 | + | 0.169374i | ||||
\(987\) | −4.09886 | − | 0.891652i | −0.130468 | − | 0.0283816i | ||||
\(988\) | 3.76579 | − | 3.76579i | 0.119806 | − | 0.119806i | ||||
\(989\) | −24.1124 | + | 1.99979i | −0.766729 | + | 0.0635896i | ||||
\(990\) | −18.8533 | + | 14.9447i | −0.599197 | + | 0.474973i | ||||
\(991\) | 10.2067 | − | 6.55944i | 0.324226 | − | 0.208368i | −0.368394 | − | 0.929670i | \(-0.620092\pi\) |
0.692621 | + | 0.721302i | \(0.256456\pi\) | |||||||
\(992\) | −4.69975 | − | 6.27814i | −0.149217 | − | 0.199331i | ||||
\(993\) | −16.3894 | + | 6.11292i | −0.520101 | + | 0.193988i | ||||
\(994\) | −18.2654 | + | 5.36321i | −0.579343 | + | 0.170111i | ||||
\(995\) | −14.6254 | − | 45.1500i | −0.463658 | − | 1.43135i | ||||
\(996\) | 2.62818 | − | 2.27733i | 0.0832771 | − | 0.0721600i | ||||
\(997\) | −8.24816 | − | 6.17450i | −0.261222 | − | 0.195548i | 0.460637 | − | 0.887589i | \(-0.347621\pi\) |
−0.721859 | + | 0.692040i | \(0.756712\pi\) | |||||||
\(998\) | −4.81380 | − | 8.81581i | −0.152378 | − | 0.279060i | ||||
\(999\) | 32.9284 | − | 38.0013i | 1.04181 | − | 1.20231i |
(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 | 230.2.l.a.103.4 | yes | 240 | |
5.2 | odd | 4 | inner | 230.2.l.a.57.3 | ✓ | 240 | |
23.21 | odd | 22 | inner | 230.2.l.a.113.3 | yes | 240 | |
115.67 | even | 44 | inner | 230.2.l.a.67.4 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
230.2.l.a.57.3 | ✓ | 240 | 5.2 | odd | 4 | inner | |
230.2.l.a.67.4 | yes | 240 | 115.67 | even | 44 | inner | |
230.2.l.a.103.4 | yes | 240 | 1.1 | even | 1 | trivial | |
230.2.l.a.113.3 | yes | 240 | 23.21 | odd | 22 | inner |