Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(4,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 44, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.y (of order \(33\), 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: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 193.11 | ||
Character | \(\chi\) | \(=\) | 483.193 |
Dual form | 483.2.y.b.478.11 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{5}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.821216 | + | 0.783028i | 0.580687 | + | 0.553684i | 0.922457 | − | 0.386099i | \(-0.126178\pi\) |
−0.341770 | + | 0.939784i | \(0.611026\pi\) | |||||||
\(3\) | 0.981929 | − | 0.189251i | 0.566917 | − | 0.109264i | ||||
\(4\) | −0.0339007 | − | 0.711664i | −0.0169504 | − | 0.355832i | ||||
\(5\) | −1.35459 | + | 1.06526i | −0.605791 | + | 0.476399i | −0.873318 | − | 0.487151i | \(-0.838036\pi\) |
0.267527 | + | 0.963550i | \(0.413794\pi\) | |||||||
\(6\) | 0.954565 | + | 0.613461i | 0.389699 | + | 0.250445i | ||||
\(7\) | 1.68871 | − | 2.03673i | 0.638273 | − | 0.769810i | ||||
\(8\) | 2.01555 | − | 2.32606i | 0.712603 | − | 0.822388i | ||||
\(9\) | 0.928368 | − | 0.371662i | 0.309456 | − | 0.123887i | ||||
\(10\) | −1.94654 | − | 0.185872i | −0.615550 | − | 0.0587779i | ||||
\(11\) | 1.67774 | − | 1.59972i | 0.505858 | − | 0.482335i | −0.393637 | − | 0.919266i | \(-0.628783\pi\) |
0.899495 | + | 0.436931i | \(0.143935\pi\) | |||||||
\(12\) | −0.167971 | − | 0.692388i | −0.0484892 | − | 0.199875i | ||||
\(13\) | −0.181622 | − | 0.397697i | −0.0503730 | − | 0.110301i | 0.882772 | − | 0.469801i | \(-0.155675\pi\) |
−0.933145 | + | 0.359500i | \(0.882947\pi\) | |||||||
\(14\) | 2.98161 | − | 0.350282i | 0.796869 | − | 0.0936169i | ||||
\(15\) | −1.12851 | + | 1.30237i | −0.291380 | + | 0.336270i | ||||
\(16\) | 2.05808 | − | 0.196523i | 0.514520 | − | 0.0491307i | ||||
\(17\) | −0.319548 | + | 0.164739i | −0.0775018 | + | 0.0399550i | −0.496542 | − | 0.868013i | \(-0.665397\pi\) |
0.419040 | + | 0.907968i | \(0.362367\pi\) | |||||||
\(18\) | 1.05341 | + | 0.421723i | 0.248292 | + | 0.0994010i | ||||
\(19\) | −3.90166 | − | 2.01145i | −0.895103 | − | 0.461458i | −0.0516527 | − | 0.998665i | \(-0.516449\pi\) |
−0.843450 | + | 0.537208i | \(0.819479\pi\) | |||||||
\(20\) | 0.804030 | + | 0.927900i | 0.179787 | + | 0.207485i | ||||
\(21\) | 1.27274 | − | 2.31951i | 0.277735 | − | 0.506159i | ||||
\(22\) | 2.63042 | 0.560807 | ||||||||
\(23\) | 2.83865 | + | 3.86550i | 0.591899 | + | 0.806012i | ||||
\(24\) | 1.53891 | − | 2.66547i | 0.314129 | − | 0.544087i | ||||
\(25\) | −0.478663 | + | 1.97308i | −0.0957326 | + | 0.394615i | ||||
\(26\) | 0.162257 | − | 0.468811i | 0.0318212 | − | 0.0919414i | ||||
\(27\) | 0.841254 | − | 0.540641i | 0.161899 | − | 0.104046i | ||||
\(28\) | −1.50671 | − | 1.13275i | −0.284742 | − | 0.214070i | ||||
\(29\) | 8.72573 | + | 5.60769i | 1.62033 | + | 1.04132i | 0.955783 | + | 0.294074i | \(0.0950111\pi\) |
0.664545 | + | 0.747248i | \(0.268625\pi\) | |||||||
\(30\) | −1.94654 | + | 0.185872i | −0.355388 | + | 0.0339354i | ||||
\(31\) | 0.951160 | + | 2.74820i | 0.170833 | + | 0.493591i | 0.997622 | − | 0.0689221i | \(-0.0219560\pi\) |
−0.826789 | + | 0.562513i | \(0.809835\pi\) | |||||||
\(32\) | −2.99465 | − | 2.35502i | −0.529385 | − | 0.416313i | ||||
\(33\) | 1.34467 | − | 1.88833i | 0.234077 | − | 0.328716i | ||||
\(34\) | −0.391413 | − | 0.114929i | −0.0671268 | − | 0.0197102i | ||||
\(35\) | −0.117869 | + | 4.55785i | −0.0199234 | + | 0.770417i | ||||
\(36\) | −0.295971 | − | 0.648087i | −0.0493285 | − | 0.108014i | ||||
\(37\) | −0.0425635 | + | 0.0170399i | −0.00699740 | + | 0.00280134i | −0.375159 | − | 0.926961i | \(-0.622412\pi\) |
0.368161 | + | 0.929762i | \(0.379987\pi\) | |||||||
\(38\) | −1.62909 | − | 4.70694i | −0.264273 | − | 0.763567i | ||||
\(39\) | −0.253605 | − | 0.356138i | −0.0406093 | − | 0.0570278i | ||||
\(40\) | −0.252372 | + | 5.29794i | −0.0399035 | + | 0.837678i | ||||
\(41\) | 0.876300 | + | 6.09480i | 0.136855 | + | 0.951848i | 0.936323 | + | 0.351140i | \(0.114206\pi\) |
−0.799468 | + | 0.600709i | \(0.794885\pi\) | |||||||
\(42\) | 2.86144 | − | 0.908226i | 0.441529 | − | 0.140142i | ||||
\(43\) | −6.63969 | − | 7.66261i | −1.01254 | − | 1.16854i | −0.985633 | − | 0.168900i | \(-0.945979\pi\) |
−0.0269101 | − | 0.999638i | \(-0.508567\pi\) | |||||||
\(44\) | −1.19534 | − | 1.13976i | −0.180205 | − | 0.171825i | ||||
\(45\) | −0.861640 | + | 1.49240i | −0.128446 | + | 0.222474i | ||||
\(46\) | −0.695653 | + | 5.39715i | −0.102568 | + | 0.795766i | ||||
\(47\) | −2.87323 | − | 4.97658i | −0.419103 | − | 0.725908i | 0.576746 | − | 0.816923i | \(-0.304322\pi\) |
−0.995850 | + | 0.0910151i | \(0.970989\pi\) | |||||||
\(48\) | 1.98370 | − | 0.582466i | 0.286322 | − | 0.0840717i | ||||
\(49\) | −1.29650 | − | 6.87889i | −0.185214 | − | 0.982698i | ||||
\(50\) | −1.93806 | + | 1.24551i | −0.274083 | + | 0.176142i | ||||
\(51\) | −0.282597 | + | 0.222236i | −0.0395714 | + | 0.0311193i | ||||
\(52\) | −0.276870 | + | 0.142736i | −0.0383950 | + | 0.0197940i | ||||
\(53\) | 2.35566 | + | 3.30806i | 0.323575 | + | 0.454398i | 0.944037 | − | 0.329839i | \(-0.106994\pi\) |
−0.620462 | + | 0.784236i | \(0.713055\pi\) | |||||||
\(54\) | 1.11419 | + | 0.214742i | 0.151622 | + | 0.0292227i | ||||
\(55\) | −0.568528 | + | 3.95420i | −0.0766603 | + | 0.533184i | ||||
\(56\) | −1.33387 | − | 8.03316i | −0.178247 | − | 1.07348i | ||||
\(57\) | −4.21182 | − | 1.23670i | −0.557870 | − | 0.163805i | ||||
\(58\) | 2.77474 | + | 11.4376i | 0.364341 | + | 1.50183i | ||||
\(59\) | −9.11278 | − | 0.870165i | −1.18638 | − | 0.113286i | −0.516855 | − | 0.856073i | \(-0.672897\pi\) |
−0.669527 | + | 0.742787i | \(0.733503\pi\) | |||||||
\(60\) | 0.965106 | + | 0.758968i | 0.124595 | + | 0.0979823i | ||||
\(61\) | −6.55035 | − | 1.26248i | −0.838686 | − | 0.161643i | −0.248218 | − | 0.968704i | \(-0.579845\pi\) |
−0.590468 | + | 0.807061i | \(0.701057\pi\) | |||||||
\(62\) | −1.37081 | + | 3.00165i | −0.174093 | + | 0.381210i | ||||
\(63\) | 0.810772 | − | 2.51846i | 0.102148 | − | 0.317296i | ||||
\(64\) | −1.20367 | − | 8.37167i | −0.150458 | − | 1.04646i | ||||
\(65\) | 0.669675 | + | 0.345242i | 0.0830630 | + | 0.0428219i | ||||
\(66\) | 2.58288 | − | 0.497809i | 0.317931 | − | 0.0612761i | ||||
\(67\) | −0.788365 | + | 3.24968i | −0.0963141 | + | 0.397012i | −0.999479 | − | 0.0322822i | \(-0.989722\pi\) |
0.903165 | + | 0.429294i | \(0.141238\pi\) | |||||||
\(68\) | 0.128071 | + | 0.221826i | 0.0155309 | + | 0.0269004i | ||||
\(69\) | 3.51890 | + | 3.25843i | 0.423626 | + | 0.392269i | ||||
\(70\) | −3.66572 | + | 3.65068i | −0.438137 | + | 0.436340i | ||||
\(71\) | −8.98963 | + | 2.63959i | −1.06687 | + | 0.313262i | −0.767616 | − | 0.640911i | \(-0.778557\pi\) |
−0.299257 | + | 0.954173i | \(0.596739\pi\) | |||||||
\(72\) | 1.00666 | − | 2.90855i | 0.118636 | − | 0.342775i | ||||
\(73\) | 0.543480 | + | 11.4090i | 0.0636095 | + | 1.33533i | 0.774745 | + | 0.632273i | \(0.217878\pi\) |
−0.711136 | + | 0.703055i | \(0.751819\pi\) | |||||||
\(74\) | −0.0482966 | − | 0.0193350i | −0.00561436 | − | 0.00224765i | ||||
\(75\) | −0.0966059 | + | 2.02801i | −0.0111551 | + | 0.234174i | ||||
\(76\) | −1.29921 | + | 2.84486i | −0.149029 | + | 0.326328i | ||||
\(77\) | −0.424973 | − | 6.11857i | −0.0484302 | − | 0.697276i | ||||
\(78\) | 0.0706018 | − | 0.491046i | 0.00799408 | − | 0.0556000i | ||||
\(79\) | 2.92158 | − | 4.10279i | 0.328704 | − | 0.461600i | −0.616843 | − | 0.787086i | \(-0.711589\pi\) |
0.945547 | + | 0.325486i | \(0.105528\pi\) | |||||||
\(80\) | −2.57851 | + | 2.45860i | −0.288286 | + | 0.274880i | ||||
\(81\) | 0.723734 | − | 0.690079i | 0.0804149 | − | 0.0766754i | ||||
\(82\) | −4.05277 | + | 5.69132i | −0.447554 | + | 0.628501i | ||||
\(83\) | −1.45219 | + | 10.1002i | −0.159398 | + | 1.10864i | 0.740348 | + | 0.672224i | \(0.234661\pi\) |
−0.899746 | + | 0.436414i | \(0.856248\pi\) | |||||||
\(84\) | −1.69386 | − | 0.827132i | −0.184815 | − | 0.0902475i | ||||
\(85\) | 0.257367 | − | 0.563555i | 0.0279154 | − | 0.0611262i | ||||
\(86\) | 0.547418 | − | 11.4917i | 0.0590296 | − | 1.23918i | ||||
\(87\) | 9.62931 | + | 3.85499i | 1.03237 | + | 0.413299i | ||||
\(88\) | −0.339494 | − | 7.12685i | −0.0361901 | − | 0.759724i | ||||
\(89\) | −1.07958 | + | 3.11924i | −0.114435 | + | 0.330639i | −0.987645 | − | 0.156705i | \(-0.949913\pi\) |
0.873210 | + | 0.487344i | \(0.162034\pi\) | |||||||
\(90\) | −1.87619 | + | 0.550898i | −0.197767 | + | 0.0580698i | ||||
\(91\) | −1.11671 | − | 0.301682i | −0.117063 | − | 0.0316249i | ||||
\(92\) | 2.65471 | − | 2.15121i | 0.276772 | − | 0.224279i | ||||
\(93\) | 1.45407 | + | 2.51852i | 0.150780 | + | 0.261159i | ||||
\(94\) | 1.53726 | − | 6.33666i | 0.158556 | − | 0.653577i | ||||
\(95\) | 7.42787 | − | 1.43160i | 0.762083 | − | 0.146879i | ||||
\(96\) | −3.38623 | − | 1.74572i | −0.345605 | − | 0.178172i | ||||
\(97\) | 1.80463 | + | 12.5515i | 0.183232 | + | 1.27441i | 0.849057 | + | 0.528301i | \(0.177171\pi\) |
−0.665824 | + | 0.746108i | \(0.731920\pi\) | |||||||
\(98\) | 4.32166 | − | 6.66425i | 0.436553 | − | 0.673191i | ||||
\(99\) | 0.963004 | − | 2.10868i | 0.0967856 | − | 0.211931i | ||||
\(100\) | 1.42039 | + | 0.273759i | 0.142039 | + | 0.0273759i | ||||
\(101\) | 8.90165 | + | 7.00033i | 0.885747 | + | 0.696559i | 0.953581 | − | 0.301138i | \(-0.0973664\pi\) |
−0.0678339 | + | 0.997697i | \(0.521609\pi\) | |||||||
\(102\) | −0.406090 | − | 0.0387769i | −0.0402089 | − | 0.00383949i | ||||
\(103\) | −2.02722 | − | 8.35633i | −0.199748 | − | 0.823374i | −0.980176 | − | 0.198128i | \(-0.936514\pi\) |
0.780428 | − | 0.625246i | \(-0.215001\pi\) | |||||||
\(104\) | −1.29114 | − | 0.379112i | −0.126606 | − | 0.0371750i | ||||
\(105\) | 0.746839 | + | 4.49779i | 0.0728841 | + | 0.438939i | ||||
\(106\) | −0.655799 | + | 4.56119i | −0.0636969 | + | 0.443021i | ||||
\(107\) | 0.664368 | + | 0.128046i | 0.0642269 | + | 0.0123787i | 0.221263 | − | 0.975214i | \(-0.428982\pi\) |
−0.157037 | + | 0.987593i | \(0.550194\pi\) | |||||||
\(108\) | −0.413274 | − | 0.580362i | −0.0397673 | − | 0.0558454i | ||||
\(109\) | −6.64846 | + | 3.42752i | −0.636807 | + | 0.328297i | −0.746220 | − | 0.665699i | \(-0.768133\pi\) |
0.109413 | + | 0.993996i | \(0.465103\pi\) | |||||||
\(110\) | −3.56313 | + | 2.80208i | −0.339731 | + | 0.267168i | ||||
\(111\) | −0.0385695 | + | 0.0247871i | −0.00366086 | + | 0.00235269i | ||||
\(112\) | 3.07524 | − | 4.52362i | 0.290583 | − | 0.427441i | ||||
\(113\) | 6.95291 | − | 2.04156i | 0.654075 | − | 0.192054i | 0.0621751 | − | 0.998065i | \(-0.480196\pi\) |
0.591900 | + | 0.806012i | \(0.298378\pi\) | |||||||
\(114\) | −2.49044 | − | 4.31358i | −0.233251 | − | 0.404003i | ||||
\(115\) | −7.96297 | − | 2.21227i | −0.742550 | − | 0.206295i | ||||
\(116\) | 3.69498 | − | 6.39990i | 0.343071 | − | 0.594216i | ||||
\(117\) | −0.316422 | − | 0.301707i | −0.0292532 | − | 0.0278929i | ||||
\(118\) | −6.80219 | − | 7.85015i | −0.626193 | − | 0.722665i | ||||
\(119\) | −0.204098 | + | 0.929028i | −0.0187096 | + | 0.0851639i | ||||
\(120\) | 0.754831 | + | 5.24996i | 0.0689063 | + | 0.479254i | ||||
\(121\) | −0.267699 | + | 5.61970i | −0.0243363 | + | 0.510882i | ||||
\(122\) | −4.39070 | − | 6.16587i | −0.397515 | − | 0.558232i | ||||
\(123\) | 2.01391 | + | 5.81882i | 0.181588 | + | 0.524665i | ||||
\(124\) | 1.92355 | − | 0.770072i | 0.172740 | − | 0.0691545i | ||||
\(125\) | −5.03283 | − | 11.0204i | −0.450150 | − | 0.985691i | ||||
\(126\) | 2.63785 | − | 1.43334i | 0.234998 | − | 0.127692i | ||||
\(127\) | −17.0217 | − | 4.99803i | −1.51043 | − | 0.443503i | −0.581437 | − | 0.813592i | \(-0.697509\pi\) |
−0.928997 | + | 0.370088i | \(0.879327\pi\) | |||||||
\(128\) | 1.14706 | − | 1.61082i | 0.101387 | − | 0.142378i | ||||
\(129\) | −7.96986 | − | 6.26757i | −0.701707 | − | 0.551829i | ||||
\(130\) | 0.279614 | + | 0.807892i | 0.0245238 | + | 0.0708569i | ||||
\(131\) | 12.2344 | − | 1.16824i | 1.06892 | − | 0.102070i | 0.454266 | − | 0.890866i | \(-0.349902\pi\) |
0.614654 | + | 0.788797i | \(0.289296\pi\) | |||||||
\(132\) | −1.38944 | − | 0.892940i | −0.120935 | − | 0.0777204i | ||||
\(133\) | −10.6856 | + | 4.54986i | −0.926555 | + | 0.394523i | ||||
\(134\) | −3.19201 | + | 2.05138i | −0.275748 | + | 0.177212i | ||||
\(135\) | −0.563630 | + | 1.62850i | −0.0485095 | + | 0.140159i | ||||
\(136\) | −0.260872 | + | 1.07533i | −0.0223696 | + | 0.0922086i | ||||
\(137\) | 0.575998 | − | 0.997659i | 0.0492109 | − | 0.0852357i | −0.840371 | − | 0.542012i | \(-0.817663\pi\) |
0.889582 | + | 0.456776i | \(0.150996\pi\) | |||||||
\(138\) | 0.338335 | + | 5.43127i | 0.0288010 | + | 0.462340i | ||||
\(139\) | 2.44138 | 0.207075 | 0.103538 | − | 0.994626i | \(-0.466984\pi\) | ||||
0.103538 | + | 0.994626i | \(0.466984\pi\) | |||||||
\(140\) | 3.24765 | − | 0.0706315i | 0.274477 | − | 0.00596945i | ||||
\(141\) | −3.76313 | − | 4.34288i | −0.316913 | − | 0.365737i | ||||
\(142\) | −9.44930 | − | 4.87145i | −0.792968 | − | 0.408803i | ||||
\(143\) | −0.940921 | − | 0.376688i | −0.0786838 | − | 0.0315002i | ||||
\(144\) | 1.83762 | − | 0.947357i | 0.153135 | − | 0.0789464i | ||||
\(145\) | −17.7934 | + | 1.69907i | −1.47766 | + | 0.141100i | ||||
\(146\) | −8.48729 | + | 9.79485i | −0.702413 | + | 0.810628i | ||||
\(147\) | −2.57491 | − | 6.50921i | −0.212375 | − | 0.536871i | ||||
\(148\) | 0.0135696 | + | 0.0297133i | 0.00111541 | + | 0.00244242i | ||||
\(149\) | −3.98144 | − | 16.4117i | −0.326172 | − | 1.34450i | −0.864868 | − | 0.501999i | \(-0.832598\pi\) |
0.538696 | − | 0.842500i | \(-0.318917\pi\) | |||||||
\(150\) | −1.66732 | + | 1.58979i | −0.136136 | + | 0.129806i | ||||
\(151\) | 11.7242 | + | 1.11953i | 0.954104 | + | 0.0911059i | 0.560482 | − | 0.828167i | \(-0.310616\pi\) |
0.393622 | + | 0.919272i | \(0.371222\pi\) | |||||||
\(152\) | −12.5427 | + | 5.02135i | −1.01735 | + | 0.407285i | ||||
\(153\) | −0.235431 | + | 0.271702i | −0.0190335 | + | 0.0219658i | ||||
\(154\) | 4.44202 | − | 5.35743i | 0.357948 | − | 0.431714i | ||||
\(155\) | −4.21598 | − | 2.70944i | −0.338635 | − | 0.217628i | ||||
\(156\) | −0.244854 | + | 0.192555i | −0.0196040 | + | 0.0154167i | ||||
\(157\) | −0.748714 | − | 15.7174i | −0.0597539 | − | 1.25439i | −0.807285 | − | 0.590162i | \(-0.799064\pi\) |
0.747531 | − | 0.664227i | \(-0.231239\pi\) | |||||||
\(158\) | 5.61185 | − | 1.08160i | 0.446455 | − | 0.0860471i | ||||
\(159\) | 2.93915 | + | 2.80247i | 0.233090 | + | 0.222250i | ||||
\(160\) | 6.56524 | 0.519027 | ||||||||
\(161\) | 12.6666 | + | 0.746178i | 0.998269 | + | 0.0588071i | ||||
\(162\) | 1.13469 | 0.0891499 | ||||||||
\(163\) | 7.13862 | + | 6.80666i | 0.559140 | + | 0.533139i | 0.916084 | − | 0.400987i | \(-0.131333\pi\) |
−0.356944 | + | 0.934126i | \(0.616181\pi\) | |||||||
\(164\) | 4.30775 | − | 0.830250i | 0.336378 | − | 0.0648316i | ||||
\(165\) | 0.190083 | + | 3.99034i | 0.0147980 | + | 0.310647i | ||||
\(166\) | −9.10127 | + | 7.15732i | −0.706396 | + | 0.555516i | ||||
\(167\) | −2.38949 | − | 1.53563i | −0.184905 | − | 0.118831i | 0.444914 | − | 0.895573i | \(-0.353234\pi\) |
−0.629818 | + | 0.776742i | \(0.716871\pi\) | |||||||
\(168\) | −2.83006 | − | 7.63556i | −0.218344 | − | 0.589096i | ||||
\(169\) | 8.38801 | − | 9.68028i | 0.645232 | − | 0.744637i | ||||
\(170\) | 0.652634 | − | 0.261275i | 0.0500547 | − | 0.0200389i | ||||
\(171\) | −4.36976 | − | 0.417261i | −0.334164 | − | 0.0319088i | ||||
\(172\) | −5.22812 | + | 4.98500i | −0.398640 | + | 0.380103i | ||||
\(173\) | 3.60968 | + | 14.8793i | 0.274439 | + | 1.13125i | 0.927463 | + | 0.373916i | \(0.121985\pi\) |
−0.653023 | + | 0.757338i | \(0.726500\pi\) | |||||||
\(174\) | 4.88918 | + | 10.7058i | 0.370647 | + | 0.811605i | ||||
\(175\) | 3.21029 | + | 4.30686i | 0.242675 | + | 0.325568i | ||||
\(176\) | 3.13854 | − | 3.62207i | 0.236577 | − | 0.273024i | ||||
\(177\) | −9.11278 | + | 0.870165i | −0.684958 | + | 0.0654056i | ||||
\(178\) | −3.32902 | + | 1.71623i | −0.249521 | + | 0.128637i | ||||
\(179\) | 13.1714 | + | 5.27304i | 0.984478 | + | 0.394125i | 0.807357 | − | 0.590064i | \(-0.200897\pi\) |
0.177121 | + | 0.984189i | \(0.443322\pi\) | |||||||
\(180\) | 1.09130 | + | 0.562605i | 0.0813408 | + | 0.0419341i | ||||
\(181\) | −1.93032 | − | 2.22771i | −0.143479 | − | 0.165584i | 0.679461 | − | 0.733711i | \(-0.262214\pi\) |
−0.822941 | + | 0.568127i | \(0.807668\pi\) | |||||||
\(182\) | −0.680834 | − | 1.12216i | −0.0504667 | − | 0.0831800i | ||||
\(183\) | −6.67090 | −0.493127 | ||||||||
\(184\) | 14.7128 | + | 1.18822i | 1.08464 | + | 0.0875968i | ||||
\(185\) | 0.0395042 | − | 0.0684233i | 0.00290441 | − | 0.00503058i | ||||
\(186\) | −0.777969 | + | 3.20683i | −0.0570434 | + | 0.235136i | ||||
\(187\) | −0.272583 | + | 0.787577i | −0.0199333 | + | 0.0575933i | ||||
\(188\) | −3.44425 | + | 2.21348i | −0.251198 | + | 0.161435i | ||||
\(189\) | 0.319499 | − | 2.62639i | 0.0232401 | − | 0.191042i | ||||
\(190\) | 7.22087 | + | 4.64057i | 0.523857 | + | 0.336662i | ||||
\(191\) | −12.8835 | + | 1.23022i | −0.932217 | + | 0.0890159i | −0.550100 | − | 0.835098i | \(-0.685411\pi\) |
−0.382116 | + | 0.924114i | \(0.624805\pi\) | |||||||
\(192\) | −2.76626 | − | 7.99259i | −0.199638 | − | 0.576816i | ||||
\(193\) | 13.9570 | + | 10.9759i | 1.00465 | + | 0.790064i | 0.977792 | − | 0.209575i | \(-0.0672082\pi\) |
0.0268555 | + | 0.999639i | \(0.491451\pi\) | |||||||
\(194\) | −8.34617 | + | 11.7206i | −0.599220 | + | 0.841487i | ||||
\(195\) | 0.722911 | + | 0.212266i | 0.0517687 | + | 0.0152007i | ||||
\(196\) | −4.85151 | + | 1.15587i | −0.346536 | + | 0.0825623i | ||||
\(197\) | −1.08643 | − | 2.37895i | −0.0774049 | − | 0.169493i | 0.866973 | − | 0.498355i | \(-0.166062\pi\) |
−0.944378 | + | 0.328862i | \(0.893335\pi\) | |||||||
\(198\) | 2.44199 | − | 0.977627i | 0.173545 | − | 0.0694769i | ||||
\(199\) | 7.40011 | + | 21.3812i | 0.524580 | + | 1.51567i | 0.826833 | + | 0.562447i | \(0.190140\pi\) |
−0.302253 | + | 0.953228i | \(0.597739\pi\) | |||||||
\(200\) | 3.62473 | + | 5.09022i | 0.256307 | + | 0.359933i | ||||
\(201\) | −0.159111 | + | 3.34016i | −0.0112228 | + | 0.235596i | ||||
\(202\) | 1.82872 | + | 12.7190i | 0.128668 | + | 0.894907i | ||||
\(203\) | 26.1566 | − | 8.30215i | 1.83583 | − | 0.582696i | ||||
\(204\) | 0.167738 | + | 0.193580i | 0.0117440 | + | 0.0135533i | ||||
\(205\) | −7.67958 | − | 7.32247i | −0.536365 | − | 0.511423i | ||||
\(206\) | 4.87845 | − | 8.44973i | 0.339898 | − | 0.588721i | ||||
\(207\) | 4.07197 | + | 2.53359i | 0.283021 | + | 0.176097i | ||||
\(208\) | −0.451950 | − | 0.782800i | −0.0313371 | − | 0.0542774i | ||||
\(209\) | −9.76374 | + | 2.86689i | −0.675372 | + | 0.198307i | ||||
\(210\) | −2.90858 | + | 4.27845i | −0.200711 | + | 0.295241i | ||||
\(211\) | 16.4245 | − | 10.5554i | 1.13071 | − | 0.726663i | 0.165002 | − | 0.986293i | \(-0.447237\pi\) |
0.965708 | + | 0.259630i | \(0.0836006\pi\) | |||||||
\(212\) | 2.27437 | − | 1.78859i | 0.156205 | − | 0.122841i | ||||
\(213\) | −8.32763 | + | 4.29319i | −0.570600 | + | 0.294165i | ||||
\(214\) | 0.445326 | + | 0.625372i | 0.0304418 | + | 0.0427496i | ||||
\(215\) | 17.1567 | + | 3.30669i | 1.17008 | + | 0.225514i | ||||
\(216\) | 0.438020 | − | 3.04649i | 0.0298035 | − | 0.207288i | ||||
\(217\) | 7.20356 | + | 2.70366i | 0.489009 | + | 0.183537i | ||||
\(218\) | −8.14367 | − | 2.39120i | −0.551559 | − | 0.161952i | ||||
\(219\) | 2.69283 | + | 11.1000i | 0.181965 | + | 0.750069i | ||||
\(220\) | 2.83334 | + | 0.270551i | 0.191023 | + | 0.0182405i | ||||
\(221\) | 0.123553 | + | 0.0971633i | 0.00831109 | + | 0.00653591i | ||||
\(222\) | −0.0510829 | − | 0.00984543i | −0.00342846 | − | 0.000660782i | ||||
\(223\) | 9.15920 | − | 20.0558i | 0.613345 | − | 1.34304i | −0.306917 | − | 0.951736i | \(-0.599297\pi\) |
0.920262 | − | 0.391302i | \(-0.127975\pi\) | |||||||
\(224\) | −9.85364 | + | 2.12233i | −0.658374 | + | 0.141804i | ||||
\(225\) | 0.288943 | + | 2.00964i | 0.0192629 | + | 0.133976i | ||||
\(226\) | 7.30844 | + | 3.76776i | 0.486150 | + | 0.250628i | ||||
\(227\) | 3.83802 | − | 0.739717i | 0.254738 | − | 0.0490967i | −0.0602833 | − | 0.998181i | \(-0.519200\pi\) |
0.315021 | + | 0.949085i | \(0.397988\pi\) | |||||||
\(228\) | −0.737333 | + | 3.03933i | −0.0488311 | + | 0.201285i | ||||
\(229\) | −11.3980 | − | 19.7419i | −0.753202 | − | 1.30458i | −0.946263 | − | 0.323398i | \(-0.895175\pi\) |
0.193061 | − | 0.981187i | \(-0.438159\pi\) | |||||||
\(230\) | −4.80705 | − | 8.05197i | −0.316967 | − | 0.530931i | ||||
\(231\) | −1.57524 | − | 5.92757i | −0.103643 | − | 0.390006i | ||||
\(232\) | 30.6309 | − | 8.99406i | 2.01102 | − | 0.590489i | ||||
\(233\) | −5.19786 | + | 15.0182i | −0.340523 | + | 0.983877i | 0.636598 | + | 0.771196i | \(0.280341\pi\) |
−0.977122 | + | 0.212682i | \(0.931780\pi\) | |||||||
\(234\) | −0.0236052 | − | 0.495534i | −0.00154312 | − | 0.0323941i | ||||
\(235\) | 9.19340 | + | 3.68048i | 0.599711 | + | 0.240088i | ||||
\(236\) | −0.310335 | + | 6.51474i | −0.0202011 | + | 0.424073i | ||||
\(237\) | 2.09233 | − | 4.58156i | 0.135911 | − | 0.297604i | ||||
\(238\) | −0.895063 | + | 0.603118i | −0.0580183 | + | 0.0390944i | ||||
\(239\) | 2.55887 | − | 17.7974i | 0.165520 | − | 1.15122i | −0.722487 | − | 0.691385i | \(-0.757001\pi\) |
0.888007 | − | 0.459830i | \(-0.152090\pi\) | |||||||
\(240\) | −2.06662 | + | 2.90216i | −0.133399 | + | 0.187333i | ||||
\(241\) | 0.792527 | − | 0.755673i | 0.0510512 | − | 0.0486772i | −0.664124 | − | 0.747622i | \(-0.731195\pi\) |
0.715175 | + | 0.698945i | \(0.246347\pi\) | |||||||
\(242\) | −4.62022 | + | 4.40537i | −0.296999 | + | 0.283188i | ||||
\(243\) | 0.580057 | − | 0.814576i | 0.0372107 | − | 0.0522551i | ||||
\(244\) | −0.676397 | + | 4.70445i | −0.0433019 | + | 0.301171i | ||||
\(245\) | 9.08403 | + | 7.93696i | 0.580358 | + | 0.507074i | ||||
\(246\) | −2.90244 | + | 6.35546i | −0.185053 | + | 0.405209i | ||||
\(247\) | −0.0913182 | + | 1.91701i | −0.00581044 | + | 0.121976i | ||||
\(248\) | 8.30958 | + | 3.32666i | 0.527659 | + | 0.211243i | ||||
\(249\) | 0.485527 | + | 10.1925i | 0.0307690 | + | 0.645922i | ||||
\(250\) | 4.49621 | − | 12.9909i | 0.284365 | − | 0.821619i | ||||
\(251\) | −12.2502 | + | 3.59697i | −0.773223 | + | 0.227039i | −0.644461 | − | 0.764637i | \(-0.722918\pi\) |
−0.128762 | + | 0.991676i | \(0.541100\pi\) | |||||||
\(252\) | −1.81978 | − | 0.491620i | −0.114636 | − | 0.0309692i | ||||
\(253\) | 10.9462 | + | 1.94426i | 0.688184 | + | 0.122235i | ||||
\(254\) | −10.0649 | − | 17.4329i | −0.631529 | − | 1.09384i | ||||
\(255\) | 0.146063 | − | 0.602078i | 0.00914679 | − | 0.0377036i | ||||
\(256\) | −14.4065 | + | 2.77663i | −0.900408 | + | 0.173539i | ||||
\(257\) | 2.61591 | + | 1.34860i | 0.163176 | + | 0.0841231i | 0.537880 | − | 0.843021i | \(-0.319225\pi\) |
−0.374704 | + | 0.927145i | \(0.622256\pi\) | |||||||
\(258\) | −1.63730 | − | 11.3877i | −0.101934 | − | 0.708964i | ||||
\(259\) | −0.0371720 | + | 0.115466i | −0.00230976 | + | 0.00717469i | ||||
\(260\) | 0.222994 | − | 0.488288i | 0.0138295 | − | 0.0302823i | ||||
\(261\) | 10.1849 | + | 1.96297i | 0.630427 | + | 0.121505i | ||||
\(262\) | 10.9618 | + | 8.62046i | 0.677223 | + | 0.532574i | ||||
\(263\) | −12.8920 | − | 1.23103i | −0.794952 | − | 0.0759087i | −0.310326 | − | 0.950630i | \(-0.600438\pi\) |
−0.484626 | + | 0.874721i | \(0.661044\pi\) | |||||||
\(264\) | −1.68212 | − | 6.93380i | −0.103528 | − | 0.426746i | ||||
\(265\) | −6.71491 | − | 1.97167i | −0.412493 | − | 0.121119i | ||||
\(266\) | −12.3378 | − | 4.63067i | −0.756480 | − | 0.283925i | ||||
\(267\) | −0.469750 | + | 3.26718i | −0.0287482 | + | 0.199948i | ||||
\(268\) | 2.33941 | + | 0.450884i | 0.142902 | + | 0.0275421i | ||||
\(269\) | −14.0919 | − | 19.7893i | −0.859199 | − | 1.20658i | −0.976936 | − | 0.213531i | \(-0.931504\pi\) |
0.117738 | − | 0.993045i | \(-0.462436\pi\) | |||||||
\(270\) | −1.73802 | + | 0.896013i | −0.105773 | + | 0.0545296i | ||||
\(271\) | −9.07959 | + | 7.14027i | −0.551546 | + | 0.433741i | −0.854641 | − | 0.519220i | \(-0.826223\pi\) |
0.303095 | + | 0.952960i | \(0.401980\pi\) | |||||||
\(272\) | −0.625281 | + | 0.401844i | −0.0379132 | + | 0.0243654i | ||||
\(273\) | −1.15362 | − | 0.0848917i | −0.0698204 | − | 0.00513788i | ||||
\(274\) | 1.25421 | − | 0.368270i | 0.0757698 | − | 0.0222480i | ||||
\(275\) | 2.35330 | + | 4.07604i | 0.141909 | + | 0.245794i | ||||
\(276\) | 2.19961 | − | 2.61474i | 0.132401 | − | 0.157389i | ||||
\(277\) | 13.0500 | − | 22.6032i | 0.784096 | − | 1.35809i | −0.145441 | − | 0.989367i | \(-0.546460\pi\) |
0.929537 | − | 0.368728i | \(-0.120207\pi\) | |||||||
\(278\) | 2.00490 | + | 1.91167i | 0.120246 | + | 0.114654i | ||||
\(279\) | 1.90443 | + | 2.19783i | 0.114015 | + | 0.131580i | ||||
\(280\) | 10.3643 | + | 9.46071i | 0.619384 | + | 0.565386i | ||||
\(281\) | 0.0814326 | + | 0.566376i | 0.00485786 | + | 0.0337872i | 0.992106 | − | 0.125401i | \(-0.0400216\pi\) |
−0.987248 | + | 0.159188i | \(0.949112\pi\) | |||||||
\(282\) | 0.310256 | − | 6.51308i | 0.0184755 | − | 0.387848i | ||||
\(283\) | 5.94689 | + | 8.35124i | 0.353506 | + | 0.496430i | 0.952590 | − | 0.304256i | \(-0.0984079\pi\) |
−0.599084 | + | 0.800686i | \(0.704469\pi\) | |||||||
\(284\) | 2.18326 | + | 6.30811i | 0.129553 | + | 0.374318i | ||||
\(285\) | 7.02270 | − | 2.81147i | 0.415989 | − | 0.166537i | ||||
\(286\) | −0.477742 | − | 1.04611i | −0.0282495 | − | 0.0618578i | ||||
\(287\) | 13.8933 | + | 8.50759i | 0.820093 | + | 0.502187i | ||||
\(288\) | −3.65541 | − | 1.07333i | −0.215397 | − | 0.0632463i | ||||
\(289\) | −9.78600 | + | 13.7425i | −0.575647 | + | 0.808383i | ||||
\(290\) | −15.9427 | − | 12.5375i | −0.936186 | − | 0.736225i | ||||
\(291\) | 4.14740 | + | 11.9831i | 0.243125 | + | 0.702464i | ||||
\(292\) | 8.10099 | − | 0.773550i | 0.474074 | − | 0.0452686i | ||||
\(293\) | 9.87834 | + | 6.34842i | 0.577099 | + | 0.370879i | 0.796393 | − | 0.604780i | \(-0.206739\pi\) |
−0.219294 | + | 0.975659i | \(0.570375\pi\) | |||||||
\(294\) | 2.98234 | − | 7.36170i | 0.173934 | − | 0.429343i | ||||
\(295\) | 13.2710 | − | 8.52877i | 0.772669 | − | 0.496564i | ||||
\(296\) | −0.0461529 | + | 0.133350i | −0.00268258 | + | 0.00775082i | ||||
\(297\) | 0.546530 | − | 2.25283i | 0.0317129 | − | 0.130722i | ||||
\(298\) | 9.58121 | − | 16.5951i | 0.555024 | − | 0.961331i | ||||
\(299\) | 1.02174 | − | 1.83098i | 0.0590886 | − | 0.105888i | ||||
\(300\) | 1.44654 | 0.0835158 | ||||||||
\(301\) | −26.8192 | + | 0.583276i | −1.54583 | + | 0.0336195i | ||||
\(302\) | 8.75150 | + | 10.0998i | 0.503592 | + | 0.581176i | ||||
\(303\) | 10.0656 | + | 5.18918i | 0.578254 | + | 0.298111i | ||||
\(304\) | −8.42523 | − | 3.37295i | −0.483220 | − | 0.193452i | ||||
\(305\) | 10.2179 | − | 5.26769i | 0.585075 | − | 0.301627i | ||||
\(306\) | −0.406090 | + | 0.0387769i | −0.0232146 | + | 0.00221673i | ||||
\(307\) | 18.1230 | − | 20.9150i | 1.03433 | − | 1.19368i | 0.0535539 | − | 0.998565i | \(-0.482945\pi\) |
0.980779 | − | 0.195119i | \(-0.0625095\pi\) | |||||||
\(308\) | −4.33996 | + | 0.509862i | −0.247292 | + | 0.0290521i | ||||
\(309\) | −3.57204 | − | 7.82167i | −0.203206 | − | 0.444959i | ||||
\(310\) | −1.34066 | − | 5.52627i | −0.0761442 | − | 0.313871i | ||||
\(311\) | −2.91238 | + | 2.77695i | −0.165146 | + | 0.157466i | −0.768146 | − | 0.640275i | \(-0.778820\pi\) |
0.603000 | + | 0.797741i | \(0.293972\pi\) | |||||||
\(312\) | −1.33955 | − | 0.127912i | −0.0758372 | − | 0.00724158i | ||||
\(313\) | −28.3165 | + | 11.3362i | −1.60054 | + | 0.640761i | −0.988658 | − | 0.150184i | \(-0.952013\pi\) |
−0.611886 | + | 0.790946i | \(0.709589\pi\) | |||||||
\(314\) | 11.6923 | − | 13.4937i | 0.659837 | − | 0.761493i | ||||
\(315\) | 1.58455 | + | 4.27517i | 0.0892795 | + | 0.240878i | ||||
\(316\) | −3.01885 | − | 1.94010i | −0.169824 | − | 0.109139i | ||||
\(317\) | −26.7475 | + | 21.0345i | −1.50229 | + | 1.18141i | −0.568974 | + | 0.822356i | \(0.692659\pi\) |
−0.933315 | + | 0.359058i | \(0.883098\pi\) | |||||||
\(318\) | 0.219262 | + | 4.60287i | 0.0122956 | + | 0.258116i | ||||
\(319\) | 23.6103 | − | 4.55051i | 1.32192 | − | 0.254779i | ||||
\(320\) | 10.5485 | + | 10.0580i | 0.589678 | + | 0.562257i | ||||
\(321\) | 0.676595 | 0.0377638 | ||||||||
\(322\) | 9.81775 | + | 10.5311i | 0.547122 | + | 0.586875i | ||||
\(323\) | 1.57813 | 0.0878096 | ||||||||
\(324\) | −0.515640 | − | 0.491661i | −0.0286467 | − | 0.0273145i | ||||
\(325\) | 0.871623 | − | 0.167992i | 0.0483489 | − | 0.00931850i | ||||
\(326\) | 0.532544 | + | 11.1795i | 0.0294949 | + | 0.619174i | ||||
\(327\) | −5.87965 | + | 4.62381i | −0.325146 | + | 0.255697i | ||||
\(328\) | 15.9431 | + | 10.2460i | 0.880312 | + | 0.565742i | ||||
\(329\) | −14.9880 | − | 2.55203i | −0.826314 | − | 0.140698i | ||||
\(330\) | −2.96845 | + | 3.42577i | −0.163408 | + | 0.188582i | ||||
\(331\) | −0.522532 | + | 0.209190i | −0.0287210 | + | 0.0114981i | −0.385978 | − | 0.922508i | \(-0.626136\pi\) |
0.357258 | + | 0.934006i | \(0.383712\pi\) | |||||||
\(332\) | 7.23716 | + | 0.691065i | 0.397191 | + | 0.0379271i | ||||
\(333\) | −0.0331815 | + | 0.0316385i | −0.00181834 | + | 0.00173378i | ||||
\(334\) | −0.759846 | − | 3.13213i | −0.0415769 | − | 0.171382i | ||||
\(335\) | −2.39385 | − | 5.24180i | −0.130790 | − | 0.286390i | ||||
\(336\) | 2.16357 | − | 5.02386i | 0.118032 | − | 0.274074i | ||||
\(337\) | −6.42182 | + | 7.41118i | −0.349819 | + | 0.403713i | −0.903203 | − | 0.429214i | \(-0.858791\pi\) |
0.553384 | + | 0.832926i | \(0.313336\pi\) | |||||||
\(338\) | 14.4683 | − | 1.38156i | 0.786972 | − | 0.0751467i | ||||
\(339\) | 6.44090 | − | 3.32051i | 0.349821 | − | 0.180345i | ||||
\(340\) | −0.409787 | − | 0.164054i | −0.0222238 | − | 0.00889708i | ||||
\(341\) | 5.99215 | + | 3.08917i | 0.324493 | + | 0.167288i | ||||
\(342\) | −3.26179 | − | 3.76430i | −0.176377 | − | 0.203550i | ||||
\(343\) | −16.1998 | − | 8.97585i | −0.874708 | − | 0.484650i | ||||
\(344\) | −31.2063 | −1.68253 | ||||||||
\(345\) | −8.23774 | − | 0.665288i | −0.443505 | − | 0.0358179i | ||||
\(346\) | −8.68659 | + | 15.0456i | −0.466994 | + | 0.808857i | ||||
\(347\) | 0.0373624 | − | 0.154010i | 0.00200572 | − | 0.00826768i | −0.970800 | − | 0.239891i | \(-0.922888\pi\) |
0.972806 | + | 0.231623i | \(0.0744036\pi\) | |||||||
\(348\) | 2.41702 | − | 6.98352i | 0.129566 | − | 0.374356i | ||||
\(349\) | 18.0914 | − | 11.6266i | 0.968408 | − | 0.622358i | 0.0420955 | − | 0.999114i | \(-0.486597\pi\) |
0.926313 | + | 0.376755i | \(0.122960\pi\) | |||||||
\(350\) | −0.736053 | + | 6.05061i | −0.0393437 | + | 0.323419i | ||||
\(351\) | −0.367802 | − | 0.236372i | −0.0196318 | − | 0.0126166i | ||||
\(352\) | −8.79163 | + | 0.839499i | −0.468596 | + | 0.0447455i | ||||
\(353\) | 1.14827 | + | 3.31770i | 0.0611161 | + | 0.176583i | 0.971425 | − | 0.237346i | \(-0.0762774\pi\) |
−0.910309 | + | 0.413929i | \(0.864156\pi\) | |||||||
\(354\) | −8.16492 | − | 6.42096i | −0.433961 | − | 0.341270i | ||||
\(355\) | 9.36540 | − | 13.1519i | 0.497064 | − | 0.698028i | ||||
\(356\) | 2.25645 | + | 0.662554i | 0.119592 | + | 0.0351153i | ||||
\(357\) | −0.0245899 | + | 0.950865i | −0.00130144 | + | 0.0503251i | ||||
\(358\) | 6.68764 | + | 14.6439i | 0.353453 | + | 0.773954i | ||||
\(359\) | −31.5772 | + | 12.6416i | −1.66658 | + | 0.667198i | −0.997134 | − | 0.0756609i | \(-0.975893\pi\) |
−0.669448 | + | 0.742859i | \(0.733469\pi\) | |||||||
\(360\) | 1.73475 | + | 5.01224i | 0.0914295 | + | 0.264168i | ||||
\(361\) | 0.155972 | + | 0.219032i | 0.00820905 | + | 0.0115280i | ||||
\(362\) | 0.159148 | − | 3.34092i | 0.00836461 | − | 0.175595i | ||||
\(363\) | 0.800673 | + | 5.56881i | 0.0420245 | + | 0.292287i | ||||
\(364\) | −0.176839 | + | 0.804949i | −0.00926888 | + | 0.0421908i | ||||
\(365\) | −12.8898 | − | 14.8756i | −0.674683 | − | 0.778626i | ||||
\(366\) | −5.47825 | − | 5.22350i | −0.286353 | − | 0.273037i | ||||
\(367\) | 14.6961 | − | 25.4544i | 0.767130 | − | 1.32871i | −0.171984 | − | 0.985100i | \(-0.555018\pi\) |
0.939113 | − | 0.343608i | \(-0.111649\pi\) | |||||||
\(368\) | 6.60182 | + | 7.39765i | 0.344144 | + | 0.385629i | ||||
\(369\) | 3.07874 | + | 5.33253i | 0.160273 | + | 0.277601i | ||||
\(370\) | 0.0860188 | − | 0.0252574i | 0.00447191 | − | 0.00131307i | ||||
\(371\) | 10.7157 | + | 0.788534i | 0.556329 | + | 0.0409386i | ||||
\(372\) | 1.74305 | − | 1.12019i | 0.0903729 | − | 0.0580791i | ||||
\(373\) | 17.3446 | − | 13.6400i | 0.898071 | − | 0.706251i | −0.0583334 | − | 0.998297i | \(-0.518579\pi\) |
0.956404 | + | 0.292047i | \(0.0943362\pi\) | |||||||
\(374\) | −0.840545 | + | 0.433331i | −0.0434635 | + | 0.0224070i | ||||
\(375\) | −7.02750 | − | 9.86874i | −0.362898 | − | 0.509619i | ||||
\(376\) | −17.3670 | − | 3.34721i | −0.895632 | − | 0.172619i | ||||
\(377\) | 0.645375 | − | 4.48868i | 0.0332385 | − | 0.231179i | ||||
\(378\) | 2.31891 | − | 1.90666i | 0.119272 | − | 0.0980678i | ||||
\(379\) | 13.8381 | + | 4.06324i | 0.710816 | + | 0.208714i | 0.617100 | − | 0.786885i | \(-0.288307\pi\) |
0.0937159 | + | 0.995599i | \(0.470125\pi\) | |||||||
\(380\) | −1.27063 | − | 5.23762i | −0.0651820 | − | 0.268684i | ||||
\(381\) | −17.6600 | − | 1.68633i | −0.904749 | − | 0.0863931i | ||||
\(382\) | −11.5434 | − | 9.07785i | −0.590613 | − | 0.464463i | ||||
\(383\) | 26.5463 | + | 5.11638i | 1.35645 | + | 0.261435i | 0.815080 | − | 0.579349i | \(-0.196693\pi\) |
0.541372 | + | 0.840783i | \(0.317905\pi\) | |||||||
\(384\) | 0.821483 | − | 1.79880i | 0.0419211 | − | 0.0917945i | ||||
\(385\) | 7.09354 | + | 7.83544i | 0.361520 | + | 0.399331i | ||||
\(386\) | 2.86728 | + | 19.9423i | 0.145940 | + | 1.01504i | ||||
\(387\) | −9.01198 | − | 4.64600i | −0.458105 | − | 0.236169i | ||||
\(388\) | 8.87126 | − | 1.70980i | 0.450370 | − | 0.0868017i | ||||
\(389\) | 1.10319 | − | 4.54740i | 0.0559338 | − | 0.230562i | −0.936983 | − | 0.349375i | \(-0.886394\pi\) |
0.992917 | + | 0.118813i | \(0.0379089\pi\) | |||||||
\(390\) | 0.427456 | + | 0.740375i | 0.0216451 | + | 0.0374904i | ||||
\(391\) | −1.54388 | − | 0.767579i | −0.0780774 | − | 0.0388182i | ||||
\(392\) | −18.6139 | − | 10.8490i | −0.940143 | − | 0.547956i | ||||
\(393\) | 11.7922 | − | 3.46249i | 0.594836 | − | 0.174660i | ||||
\(394\) | 0.970591 | − | 2.80434i | 0.0488976 | − | 0.141280i | ||||
\(395\) | 0.412996 | + | 8.66985i | 0.0207801 | + | 0.436227i | ||||
\(396\) | −1.53332 | − | 0.613850i | −0.0770523 | − | 0.0308471i | ||||
\(397\) | 1.51294 | − | 31.7605i | 0.0759323 | − | 1.59402i | −0.564125 | − | 0.825689i | \(-0.690787\pi\) |
0.640058 | − | 0.768327i | \(-0.278910\pi\) | |||||||
\(398\) | −10.6650 | + | 23.3531i | −0.534588 | + | 1.17059i | ||||
\(399\) | −9.63138 | + | 6.48989i | −0.482172 | + | 0.324901i | ||||
\(400\) | −0.597372 | + | 4.15482i | −0.0298686 | + | 0.207741i | ||||
\(401\) | −4.44667 | + | 6.24448i | −0.222056 | + | 0.311834i | −0.910543 | − | 0.413415i | \(-0.864336\pi\) |
0.688487 | + | 0.725249i | \(0.258275\pi\) | |||||||
\(402\) | −2.74610 | + | 2.61840i | −0.136963 | + | 0.130594i | ||||
\(403\) | 0.920199 | − | 0.877408i | 0.0458384 | − | 0.0437068i | ||||
\(404\) | 4.68011 | − | 6.57230i | 0.232844 | − | 0.326984i | ||||
\(405\) | −0.245248 | + | 1.70574i | −0.0121865 | + | 0.0847589i | ||||
\(406\) | 27.9810 | + | 13.6635i | 1.38867 | + | 0.678107i | ||||
\(407\) | −0.0441515 | + | 0.0966783i | −0.00218851 | + | 0.00479217i | ||||
\(408\) | −0.0526503 | + | 1.10527i | −0.00260658 | + | 0.0547188i | ||||
\(409\) | −24.0581 | − | 9.63143i | −1.18960 | − | 0.476243i | −0.309438 | − | 0.950920i | \(-0.600141\pi\) |
−0.880160 | + | 0.474676i | \(0.842565\pi\) | |||||||
\(410\) | −0.572900 | − | 12.0267i | −0.0282935 | − | 0.593954i | ||||
\(411\) | 0.376781 | − | 1.08864i | 0.0185852 | − | 0.0536986i | ||||
\(412\) | −5.87818 | + | 1.72599i | −0.289597 | + | 0.0850334i | ||||
\(413\) | −17.1611 | + | 17.0908i | −0.844445 | + | 0.840981i | ||||
\(414\) | 1.36010 | + | 5.26909i | 0.0668451 | + | 0.258962i | ||||
\(415\) | −8.79220 | − | 15.2285i | −0.431592 | − | 0.747540i | ||||
\(416\) | −0.392690 | + | 1.61869i | −0.0192532 | + | 0.0793628i | ||||
\(417\) | 2.39726 | − | 0.462034i | 0.117394 | − | 0.0226259i | ||||
\(418\) | −10.2630 | − | 5.29094i | −0.501980 | − | 0.258788i | ||||
\(419\) | −3.06553 | − | 21.3212i | −0.149761 | − | 1.04161i | −0.916610 | − | 0.399783i | \(-0.869086\pi\) |
0.766849 | − | 0.641828i | \(-0.221824\pi\) | |||||||
\(420\) | 3.17560 | − | 0.683977i | 0.154953 | − | 0.0333747i | ||||
\(421\) | −5.66112 | + | 12.3961i | −0.275906 | + | 0.604150i | −0.995963 | − | 0.0897648i | \(-0.971388\pi\) |
0.720057 | + | 0.693915i | \(0.244116\pi\) | |||||||
\(422\) | 21.7532 | + | 4.19259i | 1.05893 | + | 0.204092i | ||||
\(423\) | −4.51702 | − | 3.55222i | −0.219625 | − | 0.172715i | ||||
\(424\) | 12.4427 | + | 1.18813i | 0.604271 | + | 0.0577009i | ||||
\(425\) | −0.172086 | − | 0.709347i | −0.00834738 | − | 0.0344084i | ||||
\(426\) | −10.2005 | − | 2.99513i | −0.494214 | − | 0.145114i | ||||
\(427\) | −13.6330 | + | 11.2093i | −0.659746 | + | 0.542456i | ||||
\(428\) | 0.0686035 | − | 0.477148i | 0.00331607 | − | 0.0230638i | ||||
\(429\) | −0.995206 | − | 0.191810i | −0.0480490 | − | 0.00926069i | ||||
\(430\) | 11.5002 | + | 16.1497i | 0.554587 | + | 0.778808i | ||||
\(431\) | −19.0208 | + | 9.80588i | −0.916197 | + | 0.472333i | −0.850778 | − | 0.525525i | \(-0.823869\pi\) |
−0.0654194 | + | 0.997858i | \(0.520839\pi\) | |||||||
\(432\) | 1.62512 | − | 1.27801i | 0.0781886 | − | 0.0614882i | ||||
\(433\) | −12.8917 | + | 8.28497i | −0.619534 | + | 0.398150i | −0.812421 | − | 0.583071i | \(-0.801851\pi\) |
0.192888 | + | 0.981221i | \(0.438215\pi\) | |||||||
\(434\) | 3.79863 | + | 7.86088i | 0.182340 | + | 0.377334i | ||||
\(435\) | −17.1503 | + | 5.03579i | −0.822296 | + | 0.241448i | ||||
\(436\) | 2.66463 | + | 4.61528i | 0.127613 | + | 0.221032i | ||||
\(437\) | −3.30019 | − | 20.7917i | −0.157869 | − | 0.994600i | ||||
\(438\) | −6.48022 | + | 11.2241i | −0.309637 | + | 0.536307i | ||||
\(439\) | 8.54224 | + | 8.14501i | 0.407699 | + | 0.388740i | 0.865989 | − | 0.500062i | \(-0.166690\pi\) |
−0.458291 | + | 0.888802i | \(0.651538\pi\) | |||||||
\(440\) | 8.05182 | + | 9.29230i | 0.383856 | + | 0.442993i | ||||
\(441\) | −3.76025 | − | 5.90428i | −0.179060 | − | 0.281156i | ||||
\(442\) | 0.0253823 | + | 0.176538i | 0.00120731 | + | 0.00839704i | ||||
\(443\) | 0.448349 | − | 9.41201i | 0.0213017 | − | 0.447178i | −0.962871 | − | 0.269964i | \(-0.912988\pi\) |
0.984172 | − | 0.177215i | \(-0.0567087\pi\) | |||||||
\(444\) | 0.0189477 | + | 0.0266083i | 0.000899216 | + | 0.00126277i | ||||
\(445\) | −1.86042 | − | 5.37532i | −0.0881923 | − | 0.254815i | ||||
\(446\) | 23.2260 | − | 9.29827i | 1.09978 | − | 0.440286i | ||||
\(447\) | −7.01543 | − | 15.3616i | −0.331818 | − | 0.726581i | ||||
\(448\) | −19.0834 | − | 11.6858i | −0.901608 | − | 0.552103i | ||||
\(449\) | −2.50987 | − | 0.736966i | −0.118448 | − | 0.0347796i | 0.221971 | − | 0.975053i | \(-0.428751\pi\) |
−0.340420 | + | 0.940274i | \(0.610569\pi\) | |||||||
\(450\) | −1.33632 | + | 1.87660i | −0.0629948 | + | 0.0884638i | ||||
\(451\) | 11.2202 | + | 8.82366i | 0.528339 | + | 0.415490i | ||||
\(452\) | −1.68861 | − | 4.87893i | −0.0794257 | − | 0.229485i | ||||
\(453\) | 11.7242 | − | 1.11953i | 0.550852 | − | 0.0526000i | ||||
\(454\) | 3.73106 | + | 2.39781i | 0.175107 | + | 0.112535i | ||||
\(455\) | 1.83405 | − | 0.780931i | 0.0859817 | − | 0.0366106i | ||||
\(456\) | −11.3658 | + | 7.30434i | −0.532251 | + | 0.342057i | ||||
\(457\) | 0.0112144 | − | 0.0324018i | 0.000524586 | − | 0.00151569i | −0.944738 | − | 0.327826i | \(-0.893684\pi\) |
0.945263 | + | 0.326310i | \(0.105805\pi\) | |||||||
\(458\) | 6.09826 | − | 25.1374i | 0.284953 | − | 1.17459i | ||||
\(459\) | −0.179757 | + | 0.311348i | −0.00839032 | + | 0.0145325i | ||||
\(460\) | −1.30444 | + | 5.74196i | −0.0608199 | + | 0.267720i | ||||
\(461\) | −17.4607 | −0.813227 | −0.406613 | − | 0.913600i | \(-0.633290\pi\) | ||||
−0.406613 | + | 0.913600i | \(0.633290\pi\) | |||||||
\(462\) | 3.34784 | − | 6.10128i | 0.155756 | − | 0.283857i | ||||
\(463\) | −5.66982 | − | 6.54333i | −0.263499 | − | 0.304094i | 0.608547 | − | 0.793518i | \(-0.291753\pi\) |
−0.872046 | + | 0.489424i | \(0.837207\pi\) | |||||||
\(464\) | 19.0603 | + | 9.82627i | 0.884852 | + | 0.456173i | ||||
\(465\) | −4.65255 | − | 1.86260i | −0.215757 | − | 0.0863761i | ||||
\(466\) | −16.0283 | + | 8.26315i | −0.742495 | + | 0.382783i | ||||
\(467\) | −8.31034 | + | 0.793541i | −0.384557 | + | 0.0367207i | −0.285544 | − | 0.958365i | \(-0.592174\pi\) |
−0.0990123 | + | 0.995086i | \(0.531568\pi\) | |||||||
\(468\) | −0.203987 | + | 0.235414i | −0.00942932 | + | 0.0108820i | ||||
\(469\) | 5.28739 | + | 7.09346i | 0.244149 | + | 0.327546i | ||||
\(470\) | 4.66785 | + | 10.2212i | 0.215312 | + | 0.471467i | ||||
\(471\) | −3.70973 | − | 15.2917i | −0.170935 | − | 0.704605i | ||||
\(472\) | −20.3913 | + | 19.4430i | −0.938584 | + | 0.894938i | ||||
\(473\) | −23.3977 | − | 2.23421i | −1.07583 | − | 0.102729i | ||||
\(474\) | 5.30575 | − | 2.12410i | 0.243701 | − | 0.0975631i | ||||
\(475\) | 5.83632 | − | 6.73547i | 0.267789 | − | 0.309045i | ||||
\(476\) | 0.668075 | + | 0.113754i | 0.0306212 | + | 0.00521393i | ||||
\(477\) | 3.41640 | + | 2.19559i | 0.156426 | + | 0.100529i | ||||
\(478\) | 16.0372 | − | 12.6118i | 0.733525 | − | 0.576850i | ||||
\(479\) | 1.57659 | + | 33.0967i | 0.0720362 | + | 1.51223i | 0.688727 | + | 0.725021i | \(0.258170\pi\) |
−0.616691 | + | 0.787205i | \(0.711527\pi\) | |||||||
\(480\) | 6.44659 | − | 1.24248i | 0.294245 | − | 0.0567112i | ||||
\(481\) | 0.0145072 | + | 0.0138326i | 0.000661471 | + | 0.000630712i | ||||
\(482\) | 1.24255 | 0.0565966 | ||||||||
\(483\) | 12.5789 | − | 1.66448i | 0.572361 | − | 0.0757364i | ||||
\(484\) | 4.00841 | 0.182201 | ||||||||
\(485\) | −15.8151 | − | 15.0797i | −0.718128 | − | 0.684734i | ||||
\(486\) | 1.11419 | − | 0.214742i | 0.0505406 | − | 0.00974090i | ||||
\(487\) | −1.46359 | − | 30.7245i | −0.0663214 | − | 1.39226i | −0.749499 | − | 0.662006i | \(-0.769705\pi\) |
0.683177 | − | 0.730252i | \(-0.260598\pi\) | |||||||
\(488\) | −16.1391 | + | 12.6919i | −0.730584 | + | 0.574537i | ||||
\(489\) | 8.29778 | + | 5.33266i | 0.375239 | + | 0.241151i | ||||
\(490\) | 1.24509 | + | 13.6310i | 0.0562476 | + | 0.615786i | ||||
\(491\) | −10.4522 | + | 12.0625i | −0.471703 | + | 0.544374i | −0.940885 | − | 0.338727i | \(-0.890004\pi\) |
0.469181 | + | 0.883102i | \(0.344549\pi\) | |||||||
\(492\) | 4.07277 | − | 1.63049i | 0.183615 | − | 0.0735083i | ||||
\(493\) | −3.71209 | − | 0.354462i | −0.167184 | − | 0.0159642i | ||||
\(494\) | −1.57606 | + | 1.50277i | −0.0709103 | + | 0.0676128i | ||||
\(495\) | 0.941824 | + | 3.88225i | 0.0423319 | + | 0.174494i | ||||
\(496\) | 2.49765 | + | 5.46908i | 0.112148 | + | 0.245569i | ||||
\(497\) | −9.80477 | + | 22.7669i | −0.439804 | + | 1.02124i | ||||
\(498\) | −7.58227 | + | 8.75041i | −0.339770 | + | 0.392115i | ||||
\(499\) | −27.6067 | + | 2.63612i | −1.23585 | + | 0.118009i | −0.692449 | − | 0.721467i | \(-0.743468\pi\) |
−0.543397 | + | 0.839476i | \(0.682862\pi\) | |||||||
\(500\) | −7.67218 | + | 3.95528i | −0.343110 | + | 0.176886i | ||||
\(501\) | −2.63693 | − | 1.05567i | −0.117810 | − | 0.0471638i | ||||
\(502\) | −12.8766 | − | 6.63833i | −0.574709 | − | 0.296283i | ||||
\(503\) | 1.83018 | + | 2.11214i | 0.0816039 | + | 0.0941759i | 0.795083 | − | 0.606500i | \(-0.207427\pi\) |
−0.713479 | + | 0.700676i | \(0.752882\pi\) | |||||||
\(504\) | −4.22395 | − | 6.96198i | −0.188150 | − | 0.310111i | ||||
\(505\) | −19.5153 | −0.868417 | ||||||||
\(506\) | 7.46682 | + | 10.1679i | 0.331941 | + | 0.452017i | ||||
\(507\) | 6.40443 | − | 11.0928i | 0.284431 | − | 0.492648i | ||||
\(508\) | −2.97987 | + | 12.2832i | −0.132210 | + | 0.544978i | ||||
\(509\) | −3.48061 | + | 10.0566i | −0.154275 | + | 0.445749i | −0.995480 | − | 0.0949671i | \(-0.969725\pi\) |
0.841205 | + | 0.540716i | \(0.181847\pi\) | |||||||
\(510\) | 0.591393 | − | 0.380065i | 0.0261873 | − | 0.0168296i | ||||
\(511\) | 24.1549 | + | 18.1597i | 1.06855 | + | 0.803337i | ||||
\(512\) | −17.3322 | − | 11.1387i | −0.765983 | − | 0.492267i | ||||
\(513\) | −4.36976 | + | 0.417261i | −0.192930 | + | 0.0184225i | ||||
\(514\) | 1.09224 | + | 3.15582i | 0.0481767 | + | 0.139197i | ||||
\(515\) | 11.6477 | + | 9.15988i | 0.513260 | + | 0.403632i | ||||
\(516\) | −4.19022 | + | 5.88434i | −0.184464 | + | 0.259044i | ||||
\(517\) | −12.7817 | − | 3.75304i | −0.562137 | − | 0.165058i | ||||
\(518\) | −0.120939 | + | 0.0657155i | −0.00531376 | + | 0.00288737i | ||||
\(519\) | 6.36038 | + | 13.9273i | 0.279190 | + | 0.611340i | ||||
\(520\) | 2.15281 | − | 0.861857i | 0.0944072 | − | 0.0377949i | ||||
\(521\) | 0.137547 | + | 0.397415i | 0.00602603 | + | 0.0174111i | 0.947974 | − | 0.318349i | \(-0.103128\pi\) |
−0.941948 | + | 0.335760i | \(0.891007\pi\) | |||||||
\(522\) | 6.82691 | + | 9.58705i | 0.298806 | + | 0.419614i | ||||
\(523\) | 0.830157 | − | 17.4271i | 0.0363002 | − | 0.762036i | −0.905192 | − | 0.425002i | \(-0.860273\pi\) |
0.941493 | − | 0.337034i | \(-0.109424\pi\) | |||||||
\(524\) | −1.24615 | − | 8.66715i | −0.0544382 | − | 0.378626i | ||||
\(525\) | 3.96735 | + | 3.62148i | 0.173150 | + | 0.158054i | ||||
\(526\) | −9.62315 | − | 11.1057i | −0.419589 | − | 0.484232i | ||||
\(527\) | −0.756675 | − | 0.721488i | −0.0329613 | − | 0.0314285i | ||||
\(528\) | 2.39634 | − | 4.15059i | 0.104288 | − | 0.180631i | ||||
\(529\) | −6.88418 | + | 21.9456i | −0.299312 | + | 0.954155i | ||||
\(530\) | −3.97051 | − | 6.87713i | −0.172468 | − | 0.298723i | ||||
\(531\) | −8.78342 | + | 2.57904i | −0.381168 | + | 0.111921i | ||||
\(532\) | 3.60022 | + | 7.45028i | 0.156089 | + | 0.323011i | ||||
\(533\) | 2.26473 | − | 1.45545i | 0.0980964 | − | 0.0630427i | ||||
\(534\) | −2.94406 | + | 2.31524i | −0.127402 | + | 0.100190i | ||||
\(535\) | −1.03635 | + | 0.534275i | −0.0448052 | + | 0.0230987i | ||||
\(536\) | 5.96998 | + | 8.38367i | 0.257864 | + | 0.362119i | ||||
\(537\) | 13.9313 | + | 2.68504i | 0.601181 | + | 0.115868i | ||||
\(538\) | 3.92309 | − | 27.2857i | 0.169136 | − | 1.17637i | ||||
\(539\) | −13.1795 | − | 9.46695i | −0.567681 | − | 0.407771i | ||||
\(540\) | 1.17805 | + | 0.345908i | 0.0506953 | + | 0.0148855i | ||||
\(541\) | 4.93274 | + | 20.3330i | 0.212075 | + | 0.874186i | 0.974005 | + | 0.226526i | \(0.0727369\pi\) |
−0.761930 | + | 0.647660i | \(0.775748\pi\) | |||||||
\(542\) | −13.0473 | − | 1.24587i | −0.560431 | − | 0.0535147i | ||||
\(543\) | −2.31703 | − | 1.82213i | −0.0994333 | − | 0.0781952i | ||||
\(544\) | 1.34490 | + | 0.259208i | 0.0576620 | + | 0.0111134i | ||||
\(545\) | 5.35473 | − | 11.7252i | 0.229372 | − | 0.502254i | ||||
\(546\) | −0.880900 | − | 0.973032i | −0.0376990 | − | 0.0416419i | ||||
\(547\) | −5.01513 | − | 34.8810i | −0.214431 | − | 1.49140i | −0.758120 | − | 0.652115i | \(-0.773882\pi\) |
0.543689 | − | 0.839287i | \(-0.317027\pi\) | |||||||
\(548\) | −0.729525 | − | 0.376096i | −0.0311638 | − | 0.0160660i | ||||
\(549\) | −6.55035 | + | 1.26248i | −0.279562 | + | 0.0538812i | ||||
\(550\) | −1.25908 | + | 5.19001i | −0.0536875 | + | 0.221303i | ||||
\(551\) | −22.7653 | − | 39.4307i | −0.969834 | − | 1.67980i | ||||
\(552\) | 14.6718 | − | 1.61767i | 0.624474 | − | 0.0688526i | ||||
\(553\) | −3.42254 | − | 12.8789i | −0.145541 | − | 0.547666i | ||||
\(554\) | 28.4158 | − | 8.34363i | 1.20727 | − | 0.354487i | ||||
\(555\) | 0.0258411 | − | 0.0746630i | 0.00109689 | − | 0.00316927i | ||||
\(556\) | −0.0827646 | − | 1.73744i | −0.00351000 | − | 0.0736840i | ||||
\(557\) | −10.3321 | − | 4.13635i | −0.437786 | − | 0.175263i | 0.142291 | − | 0.989825i | \(-0.454553\pi\) |
−0.580077 | + | 0.814562i | \(0.696977\pi\) | |||||||
\(558\) | −0.157013 | + | 3.29611i | −0.00664689 | + | 0.139535i | ||||
\(559\) | −1.84149 | + | 4.03229i | −0.0778865 | + | 0.170548i | ||||
\(560\) | 0.653138 | + | 9.40358i | 0.0276001 | + | 0.397374i | ||||
\(561\) | −0.118607 | + | 0.824931i | −0.00500760 | + | 0.0348286i | ||||
\(562\) | −0.376615 | + | 0.528881i | −0.0158865 | + | 0.0223095i | ||||
\(563\) | 16.6480 | − | 15.8738i | 0.701628 | − | 0.669001i | −0.252774 | − | 0.967525i | \(-0.581343\pi\) |
0.954402 | + | 0.298525i | \(0.0964945\pi\) | |||||||
\(564\) | −2.96310 | + | 2.82531i | −0.124769 | + | 0.118967i | ||||
\(565\) | −7.24355 | + | 10.1721i | −0.304738 | + | 0.427945i | ||||
\(566\) | −1.65557 | + | 11.5148i | −0.0695889 | + | 0.484001i | ||||
\(567\) | −0.183322 | − | 2.63939i | −0.00769882 | − | 0.110844i | ||||
\(568\) | −11.9791 | + | 26.2307i | −0.502634 | + | 1.10061i | ||||
\(569\) | 0.470725 | − | 9.88172i | 0.0197338 | − | 0.414263i | −0.967288 | − | 0.253679i | \(-0.918359\pi\) |
0.987022 | − | 0.160584i | \(-0.0513378\pi\) | |||||||
\(570\) | 7.96861 | + | 3.19015i | 0.333768 | + | 0.133621i | ||||
\(571\) | 0.0169140 | + | 0.355069i | 0.000707829 | + | 0.0148592i | 0.999194 | − | 0.0401510i | \(-0.0127839\pi\) |
−0.998486 | + | 0.0550102i | \(0.982481\pi\) | |||||||
\(572\) | −0.236177 | + | 0.682390i | −0.00987507 | + | 0.0285322i | ||||
\(573\) | −12.4178 | + | 3.64621i | −0.518763 | + | 0.152323i | ||||
\(574\) | 4.74769 | + | 17.8654i | 0.198165 | + | 0.745687i | ||||
\(575\) | −8.98568 | + | 3.75059i | −0.374729 | + | 0.156410i | ||||
\(576\) | −4.22888 | − | 7.32464i | −0.176203 | − | 0.305193i | ||||
\(577\) | −7.74089 | + | 31.9084i | −0.322257 | + | 1.32836i | 0.548294 | + | 0.836286i | \(0.315277\pi\) |
−0.870551 | + | 0.492077i | \(0.836238\pi\) | |||||||
\(578\) | −18.7972 | + | 3.62286i | −0.781860 | + | 0.150691i | ||||
\(579\) | 15.7820 | + | 8.13619i | 0.655878 | + | 0.338128i | ||||
\(580\) | 1.81238 | + | 12.6054i | 0.0752548 | + | 0.523409i | ||||
\(581\) | 18.1189 | + | 20.0140i | 0.751701 | + | 0.830320i | ||||
\(582\) | −5.97721 | + | 13.0883i | −0.247763 | + | 0.542526i | ||||
\(583\) | 9.24418 | + | 1.78167i | 0.382855 | + | 0.0737892i | ||||
\(584\) | 27.6336 | + | 21.7313i | 1.14349 | + | 0.899247i | ||||
\(585\) | 0.750018 | + | 0.0716181i | 0.0310094 | + | 0.00296104i | ||||
\(586\) | 3.14126 | + | 12.9484i | 0.129764 | + | 0.534895i | ||||
\(587\) | −3.38332 | − | 0.993433i | −0.139645 | − | 0.0410034i | 0.211163 | − | 0.977451i | \(-0.432275\pi\) |
−0.350808 | + | 0.936447i | \(0.614093\pi\) | |||||||
\(588\) | −4.54508 | + | 2.05314i | −0.187436 | + | 0.0846699i | ||||
\(589\) | 1.81675 | − | 12.6357i | 0.0748577 | − | 0.520647i | ||||
\(590\) | 17.5766 | + | 3.38762i | 0.723619 | + | 0.139466i | ||||
\(591\) | −1.51702 | − | 2.13035i | −0.0624017 | − | 0.0876309i | ||||
\(592\) | −0.0842505 | + | 0.0434341i | −0.00346267 | + | 0.00178513i | ||||
\(593\) | 4.54918 | − | 3.57752i | 0.186813 | − | 0.146911i | −0.520373 | − | 0.853939i | \(-0.674207\pi\) |
0.707185 | + | 0.707028i | \(0.249965\pi\) | |||||||
\(594\) | 2.21285 | − | 1.42211i | 0.0907942 | − | 0.0583499i | ||||
\(595\) | −0.713188 | − | 1.47587i | −0.0292379 | − | 0.0605047i | ||||
\(596\) | −11.5447 | + | 3.38982i | −0.472887 | + | 0.138852i | ||||
\(597\) | 11.3128 | + | 19.5944i | 0.463002 | + | 0.801944i | ||||
\(598\) | 2.27278 | − | 0.703583i | 0.0929408 | − | 0.0287717i | ||||
\(599\) | 9.99417 | − | 17.3104i | 0.408351 | − | 0.707284i | −0.586354 | − | 0.810055i | \(-0.699437\pi\) |
0.994705 | + | 0.102771i | \(0.0327708\pi\) | |||||||
\(600\) | 4.52256 | + | 4.31225i | 0.184633 | + | 0.176047i | ||||
\(601\) | −12.5184 | − | 14.4470i | −0.510637 | − | 0.589306i | 0.440625 | − | 0.897691i | \(-0.354757\pi\) |
−0.951262 | + | 0.308385i | \(0.900211\pi\) | |||||||
\(602\) | −22.4811 | − | 20.5212i | −0.916259 | − | 0.836380i | ||||
\(603\) | 0.475893 | + | 3.30991i | 0.0193799 | + | 0.134790i | ||||
\(604\) | 0.399268 | − | 8.38166i | 0.0162460 | − | 0.341045i | ||||
\(605\) | −5.62382 | − | 7.89755i | −0.228641 | − | 0.321081i | ||||
\(606\) | 4.20276 | + | 12.1431i | 0.170726 | + | 0.493279i | ||||
\(607\) | 15.3268 | − | 6.13592i | 0.622095 | − | 0.249049i | −0.0391330 | − | 0.999234i | \(-0.512460\pi\) |
0.661229 | + | 0.750185i | \(0.270035\pi\) | |||||||
\(608\) | 6.94712 | + | 15.2121i | 0.281743 | + | 0.616931i | ||||
\(609\) | 24.1127 | − | 13.1023i | 0.977096 | − | 0.530931i | ||||
\(610\) | 12.5159 | + | 3.67499i | 0.506752 | + | 0.148796i | ||||
\(611\) | −1.45733 | + | 2.04653i | −0.0589572 | + | 0.0827939i | ||||
\(612\) | 0.201342 | + | 0.158337i | 0.00813877 | + | 0.00640040i | ||||
\(613\) | −10.7953 | − | 31.1910i | −0.436019 | − | 1.25979i | −0.922464 | − | 0.386083i | \(-0.873828\pi\) |
0.486445 | − | 0.873711i | \(-0.338293\pi\) | |||||||
\(614\) | 31.2599 | − | 2.98496i | 1.26155 | − | 0.120463i | ||||
\(615\) | −8.92659 | − | 5.73677i | −0.359955 | − | 0.231329i | ||||
\(616\) | −15.0887 | − | 11.3437i | −0.607942 | − | 0.457052i | ||||
\(617\) | 34.0737 | − | 21.8979i | 1.37176 | − | 0.881575i | 0.372831 | − | 0.927899i | \(-0.378387\pi\) |
0.998926 | + | 0.0463246i | \(0.0147509\pi\) | |||||||
\(618\) | 3.19117 | − | 9.22029i | 0.128368 | − | 0.370894i | ||||
\(619\) | 5.50118 | − | 22.6762i | 0.221111 | − | 0.911433i | −0.747780 | − | 0.663947i | \(-0.768880\pi\) |
0.968891 | − | 0.247487i | \(-0.0796046\pi\) | |||||||
\(620\) | −1.78529 | + | 3.09221i | −0.0716990 | + | 0.124186i | ||||
\(621\) | 4.47787 | + | 1.71718i | 0.179691 | + | 0.0689080i | ||||
\(622\) | −4.56613 | −0.183085 | ||||||||
\(623\) | 4.52994 | + | 7.46631i | 0.181488 | + | 0.299131i | ||||
\(624\) | −0.591929 | − | 0.683122i | −0.0236961 | − | 0.0273468i | ||||
\(625\) | 9.53393 | + | 4.91508i | 0.381357 | + | 0.196603i | ||||
\(626\) | −32.1306 | − | 12.8631i | −1.28420 | − | 0.514114i | ||||
\(627\) | −9.04473 | + | 4.66288i | −0.361212 | + | 0.186218i | ||||
\(628\) | −11.1602 | + | 1.06567i | −0.445339 | + | 0.0425247i | ||||
\(629\) | 0.0107940 | − | 0.0124569i | 0.000430384 | − | 0.000496690i | ||||
\(630\) | −2.04631 | + | 4.75159i | −0.0815270 | + | 0.189308i | ||||
\(631\) | 5.73650 | + | 12.5612i | 0.228367 | + | 0.500053i | 0.988779 | − | 0.149388i | \(-0.0477303\pi\) |
−0.760412 | + | 0.649441i | \(0.775003\pi\) | |||||||
\(632\) | −3.65477 | − | 15.0652i | −0.145379 | − | 0.599260i | ||||
\(633\) | 14.1301 | − | 13.4730i | 0.561620 | − | 0.535504i | ||||
\(634\) | −38.4361 | − | 3.67020i | −1.52649 | − | 0.145762i | ||||
\(635\) | 28.3816 | − | 11.3623i | 1.12629 | − | 0.450899i | ||||
\(636\) | 1.89478 | − | 2.18669i | 0.0751329 | − | 0.0867080i | ||||
\(637\) | −2.50024 | + | 1.76497i | −0.0990632 | + | 0.0699308i | ||||
\(638\) | 22.9523 | + | 14.7506i | 0.908691 | + | 0.583980i | ||||
\(639\) | −7.36464 | + | 5.79162i | −0.291341 | + | 0.229113i | ||||
\(640\) | 0.162149 | + | 3.40393i | 0.00640950 | + | 0.134552i | ||||
\(641\) | 25.8244 | − | 4.97725i | 1.02000 | − | 0.196589i | 0.348279 | − | 0.937391i | \(-0.386766\pi\) |
0.671724 | + | 0.740801i | \(0.265554\pi\) | |||||||
\(642\) | 0.555631 | + | 0.529793i | 0.0219290 | + | 0.0209092i | ||||
\(643\) | 28.4064 | 1.12024 | 0.560120 | − | 0.828411i | \(-0.310755\pi\) | ||||
0.560120 | + | 0.828411i | \(0.310755\pi\) | |||||||
\(644\) | 0.101620 | − | 9.03968i | 0.00400440 | − | 0.356213i | ||||
\(645\) | 17.4725 | 0.687978 | ||||||||
\(646\) | 1.29599 | + | 1.23572i | 0.0509899 | + | 0.0486188i | ||||
\(647\) | 44.2610 | − | 8.53060i | 1.74008 | − | 0.335372i | 0.782304 | − | 0.622896i | \(-0.214044\pi\) |
0.957773 | + | 0.287524i | \(0.0928321\pi\) | |||||||
\(648\) | −0.146449 | − | 3.07434i | −0.00575305 | − | 0.120771i | ||||
\(649\) | −16.6809 | + | 13.1180i | −0.654783 | + | 0.514927i | ||||
\(650\) | 0.847333 | + | 0.544548i | 0.0332351 | + | 0.0213589i | ||||
\(651\) | 7.58505 | + | 1.29152i | 0.297282 | + | 0.0506187i | ||||
\(652\) | 4.60205 | − | 5.31105i | 0.180230 | − | 0.207997i | ||||
\(653\) | −5.92649 | + | 2.37261i | −0.231922 | + | 0.0928474i | −0.484712 | − | 0.874674i | \(-0.661076\pi\) |
0.252791 | + | 0.967521i | \(0.418652\pi\) | |||||||
\(654\) | −8.44904 | − | 0.806785i | −0.330384 | − | 0.0315478i | ||||
\(655\) | −15.3280 | + | 14.6153i | −0.598916 | + | 0.571065i | ||||
\(656\) | 3.00127 | + | 12.3714i | 0.117180 | + | 0.483021i | ||||
\(657\) | 4.74486 | + | 10.3898i | 0.185115 | + | 0.405345i | ||||
\(658\) | −10.3101 | − | 13.8318i | −0.401928 | − | 0.539219i | ||||
\(659\) | −27.6702 | + | 31.9332i | −1.07788 | + | 1.24394i | −0.109625 | + | 0.993973i | \(0.534965\pi\) |
−0.968255 | + | 0.249966i | \(0.919581\pi\) | |||||||
\(660\) | 2.83334 | − | 0.270551i | 0.110287 | − | 0.0105312i | ||||
\(661\) | −34.6524 | + | 17.8646i | −1.34782 | + | 0.694851i | −0.972687 | − | 0.232119i | \(-0.925434\pi\) |
−0.375135 | + | 0.926970i | \(0.622404\pi\) | |||||||
\(662\) | −0.592914 | − | 0.237367i | −0.0230443 | − | 0.00922553i | ||||
\(663\) | 0.139709 | + | 0.0720248i | 0.00542584 | + | 0.00279721i | ||||
\(664\) | 20.5667 | + | 23.7352i | 0.798142 | + | 0.921105i | ||||
\(665\) | 9.62775 | − | 17.5461i | 0.373348 | − | 0.680408i | ||||
\(666\) | −0.0520231 | −0.00201585 | ||||||||
\(667\) | 3.09274 | + | 49.6476i | 0.119752 | + | 1.92236i | ||||
\(668\) | −1.01185 | + | 1.75258i | −0.0391497 | + | 0.0678092i | ||||
\(669\) | 5.19808 | − | 21.4268i | 0.200970 | − | 0.828408i | ||||
\(670\) | 2.13861 | − | 6.17910i | 0.0826216 | − | 0.238720i | ||||
\(671\) | −13.0094 | + | 8.36063i | −0.502222 | + | 0.322759i | ||||
\(672\) | −9.27392 | + | 3.94879i | −0.357749 | + | 0.152328i | ||||
\(673\) | −19.2689 | − | 12.3834i | −0.742763 | − | 0.477345i | 0.113724 | − | 0.993512i | \(-0.463722\pi\) |
−0.856488 | + | 0.516167i | \(0.827358\pi\) | |||||||
\(674\) | −11.0769 | + | 1.05771i | −0.426665 | + | 0.0407416i | ||||
\(675\) | 0.664048 | + | 1.91864i | 0.0255592 | + | 0.0738485i | ||||
\(676\) | −7.17347 | − | 5.64128i | −0.275903 | − | 0.216972i | ||||
\(677\) | 21.8117 | − | 30.6303i | 0.838293 | − | 1.17722i | −0.143946 | − | 0.989586i | \(-0.545979\pi\) |
0.982239 | − | 0.187632i | \(-0.0600814\pi\) | |||||||
\(678\) | 7.88942 | + | 2.31654i | 0.302991 | + | 0.0889663i | ||||
\(679\) | 28.6114 | + | 17.5203i | 1.09801 | + | 0.672368i | ||||
\(680\) | −0.792130 | − | 1.73452i | −0.0303768 | − | 0.0665159i | ||||
\(681\) | 3.62867 | − | 1.45270i | 0.139051 | − | 0.0556675i | ||||
\(682\) | 2.50195 | + | 7.22890i | 0.0958045 | + | 0.276809i | ||||
\(683\) | −23.7819 | − | 33.3970i | −0.909988 | − | 1.27790i | −0.960244 | − | 0.279163i | \(-0.909943\pi\) |
0.0502558 | − | 0.998736i | \(-0.483996\pi\) | |||||||
\(684\) | −0.148812 | + | 3.12395i | −0.00568996 | + | 0.119447i | ||||
\(685\) | 0.282525 | + | 1.96501i | 0.0107947 | + | 0.0750790i | ||||
\(686\) | −6.27521 | − | 20.0560i | −0.239589 | − | 0.765743i | ||||
\(687\) | −14.9282 | − | 17.2281i | −0.569547 | − | 0.657293i | ||||
\(688\) | −15.1709 | − | 14.4654i | −0.578385 | − | 0.551489i | ||||
\(689\) | 0.887768 | − | 1.53766i | 0.0338213 | − | 0.0585801i | ||||
\(690\) | −6.24402 | − | 6.99672i | −0.237706 | − | 0.266361i | ||||
\(691\) | 1.78627 | + | 3.09391i | 0.0679530 | + | 0.117698i | 0.898000 | − | 0.439995i | \(-0.145020\pi\) |
−0.830047 | + | 0.557693i | \(0.811687\pi\) | |||||||
\(692\) | 10.4667 | − | 3.07330i | 0.397885 | − | 0.116829i | ||||
\(693\) | −2.66857 | − | 5.52234i | −0.101371 | − | 0.209776i | ||||
\(694\) | 0.151277 | − | 0.0972195i | 0.00574238 | − | 0.00369040i | ||||
\(695\) | −3.30707 | + | 2.60071i | −0.125444 | + | 0.0986504i | ||||
\(696\) | 28.3753 | − | 14.6285i | 1.07556 | − | 0.554491i | ||||
\(697\) | −1.28407 | − | 1.80322i | −0.0486376 | − | 0.0683019i | ||||
\(698\) | 23.9609 | + | 4.61808i | 0.906933 | + | 0.174797i | ||||
\(699\) | −2.26171 | + | 15.7305i | −0.0855457 | + | 0.594984i | ||||
\(700\) | 2.95621 | − | 2.43065i | 0.111734 | − | 0.0918701i | ||||
\(701\) | −1.19072 | − | 0.349627i | −0.0449729 | − | 0.0132052i | 0.259169 | − | 0.965832i | \(-0.416551\pi\) |
−0.304142 | + | 0.952627i | \(0.598370\pi\) | |||||||
\(702\) | −0.116959 | − | 0.482112i | −0.00441433 | − | 0.0181961i | ||||
\(703\) | 0.200343 | + | 0.0191305i | 0.00755609 | + | 0.000721519i | ||||
\(704\) | −15.4118 | − | 12.1200i | −0.580854 | − | 0.456789i | ||||
\(705\) | 9.72379 | + | 1.87411i | 0.366219 | + | 0.0705830i | ||||
\(706\) | −1.65488 | + | 3.62367i | −0.0622821 | + | 0.136379i | ||||
\(707\) | 29.2901 | − | 6.30866i | 1.10157 | − | 0.237261i | ||||
\(708\) | 0.928195 | + | 6.45574i | 0.0348837 | + | 0.242621i | ||||
\(709\) | −10.3253 | − | 5.32307i | −0.387775 | − | 0.199912i | 0.253304 | − | 0.967387i | \(-0.418483\pi\) |
−0.641079 | + | 0.767475i | \(0.721513\pi\) | |||||||
\(710\) | 17.9893 | − | 3.46715i | 0.675126 | − | 0.130120i | ||||
\(711\) | 1.18745 | − | 4.89474i | 0.0445329 | − | 0.183567i | ||||
\(712\) | 5.07961 | + | 8.79814i | 0.190366 | + | 0.329724i | ||||
\(713\) | −7.92315 | + | 11.4779i | −0.296724 | + | 0.429849i | ||||
\(714\) | −0.764748 | + | 0.761611i | −0.0286200 | + | 0.0285026i | ||||
\(715\) | 1.67583 | − | 0.492069i | 0.0626726 | − | 0.0184023i | ||||
\(716\) | 3.30611 | − | 9.55239i | 0.123555 | − | 0.356989i | ||||
\(717\) | −0.855540 | − | 17.9600i | −0.0319507 | − | 0.670729i | ||||
\(718\) | −35.8304 | − | 14.3443i | −1.33718 | − | 0.535326i | ||||
\(719\) | 1.53696 | − | 32.2647i | 0.0573189 | − | 1.20327i | −0.768692 | − | 0.639619i | \(-0.779092\pi\) |
0.826011 | − | 0.563653i | \(-0.190605\pi\) | |||||||
\(720\) | −1.48003 | + | 3.24082i | −0.0551576 | + | 0.120778i | ||||
\(721\) | −20.4430 | − | 9.98255i | −0.761336 | − | 0.371770i | ||||
\(722\) | −0.0434215 | + | 0.302003i | −0.00161598 | + | 0.0112394i | ||||
\(723\) | 0.635193 | − | 0.892004i | 0.0236231 | − | 0.0331740i | ||||
\(724\) | −1.51994 | + | 1.44926i | −0.0564881 | + | 0.0538613i | ||||
\(725\) | −15.2411 | + | 14.5323i | −0.566039 | + | 0.539718i | ||||
\(726\) | −3.70301 | + | 5.20014i | −0.137431 | + | 0.192995i | ||||
\(727\) | 6.02136 | − | 41.8795i | 0.223320 | − | 1.55322i | −0.502035 | − | 0.864847i | \(-0.667415\pi\) |
0.725354 | − | 0.688376i | \(-0.241676\pi\) | |||||||
\(728\) | −2.95251 | + | 1.98948i | −0.109427 | + | 0.0737351i | ||||
\(729\) | 0.415415 | − | 0.909632i | 0.0153857 | − | 0.0336901i | ||||
\(730\) | 1.06272 | − | 22.3092i | 0.0393329 | − | 0.825700i | ||||
\(731\) | 3.38403 | + | 1.35476i | 0.125163 | + | 0.0501076i | ||||
\(732\) | 0.226148 | + | 4.74744i | 0.00835869 | + | 0.175470i | ||||
\(733\) | 4.84295 | − | 13.9928i | 0.178879 | − | 0.516836i | −0.819542 | − | 0.573019i | \(-0.805772\pi\) |
0.998420 | + | 0.0561837i | \(0.0178932\pi\) | |||||||
\(734\) | 32.0001 | − | 9.39609i | 1.18115 | − | 0.346816i | ||||
\(735\) | 10.4220 | + | 6.07436i | 0.384420 | + | 0.224056i | ||||
\(736\) | 0.602576 | − | 18.2609i | 0.0222112 | − | 0.673106i | ||||
\(737\) | 3.87592 | + | 6.71329i | 0.142771 | + | 0.247287i | ||||
\(738\) | −1.64721 | + | 6.78990i | −0.0606347 | + | 0.249940i | ||||
\(739\) | −4.40179 | + | 0.848376i | −0.161923 | + | 0.0312080i | −0.269568 | − | 0.962981i | \(-0.586881\pi\) |
0.107646 | + | 0.994189i | \(0.465669\pi\) | |||||||
\(740\) | −0.0500336 | − | 0.0257941i | −0.00183927 | − | 0.000948211i | ||||
\(741\) | 0.273128 | + | 1.89964i | 0.0100336 | + | 0.0697852i | ||||
\(742\) | 8.18242 | + | 9.03821i | 0.300386 | + | 0.331803i | ||||
\(743\) | −1.91653 | + | 4.19662i | −0.0703108 | + | 0.153959i | −0.941524 | − | 0.336945i | \(-0.890606\pi\) |
0.871213 | + | 0.490904i | \(0.163334\pi\) | |||||||
\(744\) | 8.78899 | + | 1.69394i | 0.322220 | + | 0.0621028i | ||||
\(745\) | 22.8760 | + | 17.9899i | 0.838111 | + | 0.659097i | ||||
\(746\) | 24.9242 | + | 2.37997i | 0.912538 | + | 0.0871368i | ||||
\(747\) | 2.40569 | + | 9.91640i | 0.0880197 | + | 0.362822i | ||||
\(748\) | 0.569731 | + | 0.167288i | 0.0208314 | + | 0.00611666i | ||||
\(749\) | 1.38272 | − | 1.13690i | 0.0505235 | − | 0.0415415i | ||||
\(750\) | 1.95640 | − | 13.6071i | 0.0714378 | − | 0.496861i | ||||
\(751\) | 52.4177 | + | 10.1027i | 1.91275 | + | 0.368652i | 0.999269 | − | 0.0382295i | \(-0.0121718\pi\) |
0.913481 | + | 0.406882i | \(0.133384\pi\) | |||||||
\(752\) | −6.89135 | − | 9.67754i | −0.251302 | − | 0.352904i | ||||
\(753\) | −11.3480 | + | 5.85033i | −0.413546 | + | 0.213198i | ||||
\(754\) | 4.04476 | − | 3.18083i | 0.147301 | − | 0.115839i | ||||
\(755\) | −17.0741 | + | 10.9729i | −0.621390 | + | 0.399343i | ||||
\(756\) | −1.87994 | − | 0.138339i | −0.0683727 | − | 0.00503135i | ||||
\(757\) | 40.0943 | − | 11.7728i | 1.45725 | − | 0.427888i | 0.545321 | − | 0.838228i | \(-0.316408\pi\) |
0.911933 | + | 0.410339i | \(0.134590\pi\) | |||||||
\(758\) | 8.18245 | + | 14.1724i | 0.297200 | + | 0.514766i | ||||
\(759\) | 11.1164 | − | 0.162463i | 0.403499 | − | 0.00589704i | ||||
\(760\) | 11.6412 | − | 20.1632i | 0.422271 | − | 0.731394i | ||||
\(761\) | −5.21863 | − | 4.97595i | −0.189175 | − | 0.180378i | 0.589572 | − | 0.807716i | \(-0.299296\pi\) |
−0.778748 | + | 0.627337i | \(0.784145\pi\) | |||||||
\(762\) | −13.1822 | − | 15.2131i | −0.477542 | − | 0.551113i | ||||
\(763\) | −4.24642 | + | 19.3292i | −0.153731 | + | 0.699764i | ||||
\(764\) | 1.31227 | + | 9.12701i | 0.0474761 | + | 0.330204i | ||||
\(765\) | 0.0294790 | − | 0.618840i | 0.00106582 | − | 0.0223742i | ||||
\(766\) | 17.7940 | + | 24.9881i | 0.642922 | + | 0.902858i | ||||
\(767\) | 1.30902 | + | 3.78217i | 0.0472660 | + | 0.136566i | ||||
\(768\) | −13.6207 | + | 5.45291i | −0.491495 | + | 0.196765i | ||||
\(769\) | 4.84437 | + | 10.6077i | 0.174692 | + | 0.382523i | 0.976643 | − | 0.214867i | \(-0.0689318\pi\) |
−0.801951 | + | 0.597390i | \(0.796205\pi\) | |||||||
\(770\) | −0.310043 | + | 11.9890i | −0.0111732 | + | 0.432055i | ||||
\(771\) | 2.82386 | + | 0.829161i | 0.101699 | + | 0.0298615i | ||||
\(772\) | 7.33802 | − | 10.3048i | 0.264101 | − | 0.370878i | ||||
\(773\) | 19.5763 | + | 15.3950i | 0.704110 | + | 0.553718i | 0.904748 | − | 0.425947i | \(-0.140059\pi\) |
−0.200638 | + | 0.979665i | \(0.564302\pi\) | |||||||
\(774\) | −3.76284 | − | 10.8720i | −0.135252 | − | 0.390786i | ||||
\(775\) | −5.87768 | + | 0.561251i | −0.211133 | + | 0.0201607i | ||||
\(776\) | 32.8329 | + | 21.1004i | 1.17863 | + | 0.757460i | ||||
\(777\) | −0.0146483 | + | 0.120414i | −0.000525504 | + | 0.00431982i | ||||
\(778\) | 4.46670 | − | 2.87057i | 0.160139 | − | 0.102915i | ||||
\(779\) | 8.84034 | − | 25.5425i | 0.316738 | − | 0.915155i | ||||
\(780\) | 0.126555 | − | 0.521666i | 0.00453139 | − | 0.0186786i | ||||
\(781\) | −10.8596 | + | 18.8095i | −0.388589 | + | 0.673056i | ||||
\(782\) | −0.666824 | − | 1.83925i | −0.0238456 | − | 0.0657715i | ||||
\(783\) | 10.3723 | 0.370676 | ||||||||
\(784\) | −4.02016 | − | 13.9025i | −0.143577 | − | 0.496518i | ||||
\(785\) | 17.7574 | + | 20.4931i | 0.633788 | + | 0.731431i | ||||
\(786\) | 12.3951 | + | 6.39014i | 0.442120 | + | 0.227929i | ||||
\(787\) | −20.3439 | − | 8.14449i | −0.725183 | − | 0.290320i | −0.0204489 | − | 0.999791i | \(-0.506510\pi\) |
−0.704734 | + | 0.709471i | \(0.748934\pi\) | |||||||
\(788\) | −1.65618 | + | 0.853822i | −0.0589991 | + | 0.0304161i | ||||
\(789\) | −12.8920 | + | 1.23103i | −0.458966 | + | 0.0438259i | ||||
\(790\) | −6.44957 | + | 7.44320i | −0.229466 | + | 0.264817i | ||||
\(791\) | 7.58337 | − | 17.6088i | 0.269634 | − | 0.626096i | ||||
\(792\) | −2.96396 | − | 6.49016i | −0.105320 | − | 0.230618i | ||||
\(793\) | 0.687606 | + | 2.83435i | 0.0244176 | + | 0.100651i | ||||
\(794\) | 26.1118 | − | 24.8976i | 0.926675 | − | 0.883583i | ||||
\(795\) | −6.96670 | − | 0.665239i | −0.247083 | − | 0.0235936i | ||||
\(796\) | 14.9654 | − | 5.99124i | 0.530434 | − | 0.212354i | ||||
\(797\) | 33.5062 | − | 38.6683i | 1.18685 | − | 1.36970i | 0.273836 | − | 0.961776i | \(-0.411707\pi\) |
0.913016 | − | 0.407924i | \(-0.133747\pi\) | |||||||
\(798\) | −12.9912 | − | 2.21204i | −0.459884 | − | 0.0783054i | ||||
\(799\) | 1.73797 | + | 1.11692i | 0.0614849 | + | 0.0395140i | ||||
\(800\) | 6.08006 | − | 4.78141i | 0.214963 | − | 0.169049i | ||||
\(801\) | 0.157057 | + | 3.29704i | 0.00554935 | + | 0.116495i | ||||
\(802\) | −8.54128 | + | 1.64620i | −0.301603 | + | 0.0581292i | ||||
\(803\) | 19.1631 | + | 18.2720i | 0.676252 | + | 0.644805i | ||||
\(804\) | 2.38246 | 0.0840230 | ||||||||
\(805\) | −17.9529 | + | 12.4825i | −0.632758 | + | 0.439950i | ||||
\(806\) | 1.44272 | 0.0508175 | ||||||||
\(807\) | −17.5824 | − | 16.7648i | −0.618930 | − | 0.590148i | ||||
\(808\) | 34.2249 | − | 6.59631i | 1.20403 | − | 0.232057i | ||||
\(809\) | −0.648848 | − | 13.6210i | −0.0228123 | − | 0.478889i | −0.981150 | − | 0.193250i | \(-0.938097\pi\) |
0.958337 | − | 0.285639i | \(-0.0922058\pi\) | |||||||
\(810\) | −1.53704 | + | 1.20874i | −0.0540062 | + | 0.0424709i | ||||
\(811\) | −10.9541 | − | 7.03978i | −0.384651 | − | 0.247200i | 0.333997 | − | 0.942574i | \(-0.391602\pi\) |
−0.718648 | + | 0.695374i | \(0.755239\pi\) | |||||||
\(812\) | −6.79507 | − | 18.3333i | −0.238460 | − | 0.643371i | ||||
\(813\) | −7.56421 | + | 8.72956i | −0.265288 | + | 0.306159i | ||||
\(814\) | −0.111960 | + | 0.0448219i | −0.00392419 | + | 0.00157101i | ||||
\(815\) | −16.9208 | − | 1.61574i | −0.592708 | − | 0.0565968i | ||||
\(816\) | −0.537932 | + | 0.512917i | −0.0188314 | + | 0.0179557i | ||||
\(817\) | 10.4929 | + | 43.2523i | 0.367100 | + | 1.51321i | ||||
\(818\) | −12.2153 | − | 26.7477i | −0.427096 | − | 0.935211i | ||||
\(819\) | −1.14884 | + | 0.134967i | −0.0401437 | + | 0.00471612i | ||||
\(820\) | −4.95079 | + | 5.71352i | −0.172889 | + | 0.199525i | ||||
\(821\) | 38.5173 | − | 3.67796i | 1.34426 | − | 0.128362i | 0.602014 | − | 0.798486i | \(-0.294365\pi\) |
0.742249 | + | 0.670124i | \(0.233759\pi\) | |||||||
\(822\) | 1.16185 | − | 0.598977i | 0.0405243 | − | 0.0208917i | ||||
\(823\) | −0.105715 | − | 0.0423221i | −0.00368501 | − | 0.00147526i | 0.369819 | − | 0.929104i | \(-0.379420\pi\) |
−0.373504 | + | 0.927628i | \(0.621844\pi\) | |||||||
\(824\) | −23.5233 | − | 12.1271i | −0.819474 | − | 0.422468i | ||||
\(825\) | 3.08217 | + | 3.55701i | 0.107307 | + | 0.123839i | ||||
\(826\) | −27.4756 | + | 0.597552i | −0.955997 | + | 0.0207915i | ||||
\(827\) | −36.8677 | −1.28202 | −0.641008 | − | 0.767534i | \(-0.721483\pi\) | ||||
−0.641008 | + | 0.767534i | \(0.721483\pi\) | |||||||
\(828\) | 1.66502 | − | 2.98377i | 0.0578635 | − | 0.103693i | ||||
\(829\) | −10.5675 | + | 18.3035i | −0.367025 | + | 0.635705i | −0.989099 | − | 0.147253i | \(-0.952957\pi\) |
0.622074 | + | 0.782958i | \(0.286290\pi\) | |||||||
\(830\) | 4.70407 | − | 19.3905i | 0.163281 | − | 0.673053i | ||||
\(831\) | 8.53645 | − | 24.6645i | 0.296126 | − | 0.855601i | ||||
\(832\) | −3.11078 | + | 1.99918i | −0.107847 | + | 0.0693090i | ||||
\(833\) | 1.54751 | + | 1.98455i | 0.0536181 | + | 0.0687607i | ||||
\(834\) | 2.33045 | + | 1.49769i | 0.0806970 | + | 0.0518608i | ||||
\(835\) | 4.87264 | − | 0.465280i | 0.168624 | − | 0.0161017i | ||||
\(836\) | 2.37126 | + | 6.85131i | 0.0820118 | + | 0.236958i | ||||
\(837\) | 2.28595 | + | 1.79769i | 0.0790141 | + | 0.0621374i | ||||
\(838\) | 14.1777 | − | 19.9097i | 0.489759 | − | 0.687771i | ||||
\(839\) | 24.2553 | + | 7.12200i | 0.837386 | + | 0.245879i | 0.672187 | − | 0.740382i | \(-0.265355\pi\) |
0.165199 | + | 0.986260i | \(0.447173\pi\) | |||||||
\(840\) | 11.9674 | + | 7.32830i | 0.412915 | + | 0.252850i | ||||
\(841\) | 32.6452 | + | 71.4831i | 1.12570 | + | 2.46493i | ||||
\(842\) | −14.3555 | + | 5.74708i | −0.494724 | + | 0.198058i | ||||
\(843\) | 0.187148 | + | 0.540730i | 0.00644573 | + | 0.0186237i | ||||
\(844\) | −8.06870 | − | 11.3309i | −0.277736 | − | 0.390026i | ||||
\(845\) | −1.05029 | + | 22.0482i | −0.0361310 | + | 0.758482i | ||||
\(846\) | −0.927959 | − | 6.45410i | −0.0319039 | − | 0.221896i | ||||
\(847\) | 10.9937 | + | 10.0353i | 0.377749 | + | 0.344817i | ||||
\(848\) | 5.49825 | + | 6.34532i | 0.188811 | + | 0.217899i | ||||
\(849\) | 7.41991 | + | 7.07487i | 0.254651 | + | 0.242809i | ||||
\(850\) | 0.414119 | − | 0.717275i | 0.0142042 | − | 0.0246023i | ||||
\(851\) | −0.186690 | − | 0.116159i | −0.00639966 | − | 0.00398189i | ||||
\(852\) | 3.33762 | + | 5.78093i | 0.114345 | + | 0.198051i | ||||
\(853\) | −46.0592 | + | 13.5242i | −1.57704 | + | 0.463060i | −0.949040 | − | 0.315155i | \(-0.897944\pi\) |
−0.627998 | + | 0.778215i | \(0.716125\pi\) | |||||||
\(854\) | −19.9728 | − | 1.46974i | −0.683456 | − | 0.0502935i | ||||
\(855\) | 6.36372 | − | 4.08971i | 0.217635 | − | 0.139865i | ||||
\(856\) | 1.63691 | − | 1.28728i | 0.0559483 | − | 0.0439983i | ||||
\(857\) | −19.2862 | + | 9.94275i | −0.658805 | + | 0.339638i | −0.755000 | − | 0.655725i | \(-0.772363\pi\) |
0.0961947 | + | 0.995363i | \(0.469333\pi\) | |||||||
\(858\) | −0.667086 | − | 0.936792i | −0.0227740 | − | 0.0319815i | ||||
\(859\) | 21.0833 | + | 4.06347i | 0.719352 | + | 0.138644i | 0.535774 | − | 0.844361i | \(-0.320020\pi\) |
0.183578 | + | 0.983005i | \(0.441232\pi\) | |||||||
\(860\) | 1.77163 | − | 12.3219i | 0.0604120 | − | 0.420175i | ||||
\(861\) | 15.2523 | + | 5.72453i | 0.519796 | + | 0.195091i | ||||
\(862\) | −23.2984 | − | 6.84104i | −0.793548 | − | 0.233007i | ||||
\(863\) | 10.1980 | + | 42.0366i | 0.347143 | + | 1.43094i | 0.831233 | + | 0.555924i | \(0.187636\pi\) |
−0.484090 | + | 0.875018i | \(0.660849\pi\) | |||||||
\(864\) | −3.79248 | − | 0.362138i | −0.129023 | − | 0.0123202i | ||||
\(865\) | −20.7400 | − | 16.3101i | −0.705181 | − | 0.554560i | ||||
\(866\) | −17.0742 | − | 3.29078i | −0.580205 | − | 0.111825i | ||||
\(867\) | −7.00836 | + | 15.3462i | −0.238016 | + | 0.521183i | ||||
\(868\) | 1.67989 | − | 5.21817i | 0.0570193 | − | 0.177116i | ||||
\(869\) | −1.66167 | − | 11.5571i | −0.0563682 | − | 0.392049i | ||||
\(870\) | −18.0273 | − | 9.29372i | −0.611183 | − | 0.315087i | ||||
\(871\) | 1.43558 | − | 0.276684i | 0.0486426 | − | 0.00937510i | ||||
\(872\) | −5.42765 | + | 22.3731i | −0.183803 | + | 0.757648i | ||||
\(873\) | 6.34028 | + | 10.9817i | 0.214586 | + | 0.371674i | ||||
\(874\) | 13.5703 | − | 19.6586i | 0.459022 | − | 0.664962i | ||||
\(875\) | −30.9444 | − | 8.35973i | −1.04611 | − | 0.282610i | ||||
\(876\) | 7.80820 | − | 2.29269i | 0.263814 | − | 0.0774629i | ||||
\(877\) | −6.72302 | + | 19.4249i | −0.227020 | + | 0.655932i | 0.772754 | + | 0.634705i | \(0.218879\pi\) |
−0.999775 | + | 0.0212271i | \(0.993243\pi\) | |||||||
\(878\) | 0.637255 | + | 13.3776i | 0.0215063 | + | 0.451473i | ||||
\(879\) | 10.9013 | + | 4.36421i | 0.367691 | + | 0.147201i | ||||
\(880\) | −0.392986 | + | 8.24979i | −0.0132476 | + | 0.278100i | ||||
\(881\) | 21.9703 | − | 48.1083i | 0.740199 | − | 1.62081i | −0.0430270 | − | 0.999074i | \(-0.513700\pi\) |
0.783226 | − | 0.621737i | \(-0.213573\pi\) | |||||||
\(882\) | 1.53524 | − | 7.79307i | 0.0516941 | − | 0.262406i | ||||
\(883\) | −0.0434477 | + | 0.302185i | −0.00146213 | + | 0.0101693i | −0.990539 | − | 0.137228i | \(-0.956181\pi\) |
0.989077 | + | 0.147398i | \(0.0470897\pi\) | |||||||
\(884\) | 0.0649591 | − | 0.0912223i | 0.00218481 | − | 0.00306814i | ||||
\(885\) | 11.4171 | − | 10.8862i | 0.383782 | − | 0.365936i | ||||
\(886\) | 7.73806 | − | 7.37823i | 0.259965 | − | 0.247876i | ||||
\(887\) | 0.901371 | − | 1.26580i | 0.0302651 | − | 0.0425014i | −0.799166 | − | 0.601110i | \(-0.794725\pi\) |
0.829431 | + | 0.558609i | \(0.188665\pi\) | |||||||
\(888\) | −0.0200822 | + | 0.139675i | −0.000673915 | + | 0.00468718i | ||||
\(889\) | −38.9244 | + | 26.2283i | −1.30548 | + | 0.879670i | ||||
\(890\) | 2.68122 | − | 5.87106i | 0.0898748 | − | 0.196798i | ||||
\(891\) | 0.110303 | − | 2.31555i | 0.00369529 | − | 0.0775738i | ||||
\(892\) | −14.5835 | − | 5.83836i | −0.488293 | − | 0.195483i | ||||
\(893\) | 1.20025 | + | 25.1963i | 0.0401647 | + | 0.843161i | ||||
\(894\) | 6.26741 | − | 18.1085i | 0.209614 | − | 0.605639i | ||||
\(895\) | −23.4590 | + | 6.88819i | −0.784149 | + | 0.230247i | ||||
\(896\) | −1.34375 | − | 5.05647i | −0.0448914 | − | 0.168925i | ||||
\(897\) | 0.656758 | − | 1.99126i | 0.0219285 | − | 0.0664862i | ||||
\(898\) | −1.48408 | − | 2.57051i | −0.0495246 | − | 0.0857790i | ||||
\(899\) | −7.11146 | + | 29.3138i | −0.237180 | + | 0.977671i | ||||
\(900\) | 1.42039 | − | 0.273759i | 0.0473465 | − | 0.00912529i | ||||
\(901\) | −1.29771 | − | 0.669018i | −0.0432331 | − | 0.0222882i | ||||
\(902\) | 2.30503 | + | 16.0319i | 0.0767493 | + | 0.533803i | ||||
\(903\) | −26.2241 | + | 5.64830i | −0.872684 | + | 0.187964i | ||||
\(904\) | 9.26511 | − | 20.2878i | 0.308153 | − | 0.674761i | ||||
\(905\) | 4.98788 | + | 0.961334i | 0.165803 | + | 0.0319558i | ||||
\(906\) | 10.5047 | + | 8.26102i | 0.348997 | + | 0.274454i | ||||
\(907\) | −0.184333 | − | 0.0176017i | −0.00612069 | − | 0.000584455i | 0.0919953 | − | 0.995759i | \(-0.470676\pi\) |
−0.0981159 | + | 0.995175i | \(0.531282\pi\) | |||||||
\(908\) | −0.656542 | − | 2.70630i | −0.0217881 | − | 0.0898118i | ||||
\(909\) | 10.8658 | + | 3.19048i | 0.360395 | + | 0.105821i | ||||
\(910\) | 2.11764 | + | 0.794801i | 0.0701992 | + | 0.0263474i | ||||
\(911\) | −7.72656 | + | 53.7394i | −0.255992 | + | 1.78047i | 0.304706 | + | 0.952446i | \(0.401442\pi\) |
−0.560699 | + | 0.828020i | \(0.689467\pi\) | |||||||
\(912\) | −8.91131 | − | 1.71751i | −0.295083 | − | 0.0568726i | ||||
\(913\) | 13.7211 | + | 19.2686i | 0.454102 | + | 0.637696i | ||||
\(914\) | 0.0345809 | − | 0.0178277i | 0.00114384 | − | 0.000589688i | ||||
\(915\) | 9.03633 | − | 7.10625i | 0.298732 | − | 0.234925i | ||||
\(916\) | −13.6632 | + | 8.78083i | −0.451446 | + | 0.290127i | ||||
\(917\) | 18.2809 | − | 26.8908i | 0.603689 | − | 0.888014i | ||||
\(918\) | −0.391413 | + | 0.114929i | −0.0129186 | + | 0.00379323i | ||||
\(919\) | −6.55514 | − | 11.3538i | −0.216234 | − | 0.374528i | 0.737420 | − | 0.675435i | \(-0.236044\pi\) |
−0.953654 | + | 0.300907i | \(0.902711\pi\) | |||||||
\(920\) | −21.1956 | + | 14.0634i | −0.698798 | + | 0.463658i | ||||
\(921\) | 13.8373 | − | 23.9669i | 0.455954 | − | 0.789735i | ||||
\(922\) | −14.3390 | − | 13.6722i | −0.472231 | − | 0.450271i | ||||
\(923\) | 2.68248 | + | 3.09574i | 0.0882948 | + | 0.101898i | ||||
\(924\) | −4.16504 | + | 1.32199i | −0.137020 | + | 0.0434903i | ||||
\(925\) | −0.0132474 | − | 0.0921374i | −0.000435571 | − | 0.00302946i | ||||
\(926\) | 0.467456 | − | 9.81311i | 0.0153616 | − | 0.322479i | ||||
\(927\) | −4.98775 | − | 7.00431i | −0.163819 | − | 0.230052i | ||||
\(928\) | −12.9243 | − | 37.3424i | −0.424261 | − | 1.22582i | ||||
\(929\) | −18.2193 | + | 7.29392i | −0.597757 | + | 0.239306i | −0.650754 | − | 0.759289i | \(-0.725547\pi\) |
0.0529969 | + | 0.998595i | \(0.483123\pi\) | |||||||
\(930\) | −2.36228 | − | 5.17268i | −0.0774623 | − | 0.169619i | ||||
\(931\) | −8.77801 | + | 29.4469i | −0.287688 | + | 0.965084i | ||||
\(932\) | 10.8642 | + | 3.19000i | 0.355867 | + | 0.104492i | ||||
\(933\) | −2.33421 | + | 3.27794i | −0.0764186 | + | 0.107315i | ||||
\(934\) | −7.44595 | − | 5.85556i | −0.243639 | − | 0.191600i | ||||
\(935\) | −0.469737 | − | 1.35722i | −0.0153620 | − | 0.0443857i | ||||
\(936\) | −1.33955 | + | 0.127912i | −0.0437846 | + | 0.00418093i | ||||
\(937\) | −22.5460 | − | 14.4895i | −0.736547 | − | 0.473350i | 0.117810 | − | 0.993036i | \(-0.462413\pi\) |
−0.854357 | + | 0.519686i | \(0.826049\pi\) | |||||||
\(938\) | −1.21229 | + | 9.96544i | −0.0395827 | + | 0.325383i | ||||
\(939\) | −25.6594 | + | 16.4903i | −0.837363 | + | 0.538141i | ||||
\(940\) | 2.30760 | − | 6.66738i | 0.0752657 | − | 0.217466i | ||||
\(941\) | −10.3230 | + | 42.5518i | −0.336519 | + | 1.38715i | 0.512455 | + | 0.858714i | \(0.328736\pi\) |
−0.848973 | + | 0.528435i | \(0.822779\pi\) | |||||||
\(942\) | 8.92735 | − | 15.4626i | 0.290869 | − | 0.503800i | ||||
\(943\) | −21.0720 | + | 20.6883i | −0.686197 | + | 0.673705i | ||||
\(944\) | −18.9258 | −0.615983 | ||||||||
\(945\) | 2.36500 | + | 3.89803i | 0.0769335 | + | 0.126803i | ||||
\(946\) | −17.4651 | − | 20.1559i | −0.567841 | − | 0.655323i | ||||
\(947\) | −7.34505 | − | 3.78664i | −0.238682 | − | 0.123049i | 0.334736 | − | 0.942312i | \(-0.391353\pi\) |
−0.573418 | + | 0.819263i | \(0.694383\pi\) | |||||||
\(948\) | −3.33147 | − | 1.33372i | −0.108201 | − | 0.0433171i | ||||
\(949\) | 4.43864 | − | 2.28828i | 0.144084 | − | 0.0742806i | ||||
\(950\) | 10.0669 | − | 0.961276i | 0.326615 | − | 0.0311879i | ||||
\(951\) | −22.2833 | + | 25.7163i | −0.722587 | + | 0.833910i | ||||
\(952\) | 1.74961 | + | 2.34724i | 0.0567052 | + | 0.0760746i | ||||
\(953\) | 22.2107 | + | 48.6346i | 0.719474 | + | 1.57543i | 0.814640 | + | 0.579967i | \(0.196935\pi\) |
−0.0951657 | + | 0.995461i | \(0.530338\pi\) | |||||||
\(954\) | 1.08640 | + | 4.47819i | 0.0351734 | + | 0.144987i | ||||
\(955\) | 16.1413 | − | 15.3907i | 0.522321 | − | 0.498032i | ||||
\(956\) | −12.7525 | − | 1.21771i | −0.412445 | − | 0.0393837i | ||||
\(957\) | 22.3224 | − | 8.93655i | 0.721581 | − | 0.288877i | ||||
\(958\) | −24.6209 | + | 28.4140i | −0.795466 | + | 0.918016i | ||||
\(959\) | −1.05926 | − | 2.85791i | −0.0342053 | − | 0.0922867i | ||||
\(960\) | 12.2613 | + | 7.87989i | 0.395733 | + | 0.254322i | ||||
\(961\) | 17.7198 | − | 13.9350i | 0.571606 | − | 0.449516i | ||||
\(962\) | 0.00108224 | + | 0.0227191i | 3.48929e−5 | + | 0.000732493i | ||||
\(963\) | 0.664368 | − | 0.128046i | 0.0214090 | − | 0.00412624i | ||||
\(964\) | −0.564653 | − | 0.538395i | −0.0181862 | − | 0.0173405i | ||||
\(965\) | −30.5982 | −0.984992 | ||||||||
\(966\) | 11.6334 | + | 8.48276i | 0.374297 | + | 0.272928i | ||||
\(967\) | 0.968885 | 0.0311572 | 0.0155786 | − | 0.999879i | \(-0.495041\pi\) | ||||
0.0155786 | + | 0.999879i | \(0.495041\pi\) | |||||||
\(968\) | 12.5322 | + | 11.9494i | 0.402801 | + | 0.384070i | ||||
\(969\) | 1.54961 | − | 0.298663i | 0.0497807 | − | 0.00959445i | ||||
\(970\) | −1.17982 | − | 24.7674i | −0.0378816 | − | 0.795233i | ||||
\(971\) | −27.1148 | + | 21.3234i | −0.870157 | + | 0.684299i | −0.949913 | − | 0.312516i | \(-0.898828\pi\) |
0.0797558 | + | 0.996814i | \(0.474586\pi\) | |||||||
\(972\) | −0.599369 | − | 0.385191i | −0.0192248 | − | 0.0123550i | ||||
\(973\) | 4.12279 | − | 4.97242i | 0.132171 | − | 0.159408i | ||||
\(974\) | 22.8562 | − | 26.3774i | 0.732360 | − | 0.845188i | ||||
\(975\) | 0.824079 | − | 0.329911i | 0.0263917 | − | 0.0105656i | ||||
\(976\) | −13.7292 | − | 1.31098i | −0.439463 | − | 0.0419636i | ||||
\(977\) | 2.14033 | − | 2.04080i | 0.0684751 | − | 0.0652909i | −0.655069 | − | 0.755569i | \(-0.727360\pi\) |
0.723544 | + | 0.690278i | \(0.242512\pi\) | |||||||
\(978\) | 2.63865 | + | 10.8767i | 0.0843747 | + | 0.347797i | ||||
\(979\) | 3.17867 | + | 6.96031i | 0.101591 | + | 0.222452i | ||||
\(980\) | 5.34049 | − | 6.73385i | 0.170596 | − | 0.215105i | ||||
\(981\) | −4.89834 | + | 5.65298i | −0.156392 | + | 0.180486i | ||||
\(982\) | −18.0288 | + | 1.72155i | −0.575324 | + | 0.0549368i | ||||
\(983\) | 16.3665 | − | 8.43750i | 0.522009 | − | 0.269114i | −0.177021 | − | 0.984207i | \(-0.556646\pi\) |
0.699030 | + | 0.715093i | \(0.253616\pi\) | |||||||
\(984\) | 17.5941 | + | 7.04361i | 0.560879 | + | 0.224542i | ||||
\(985\) | 4.00587 | + | 2.06517i | 0.127638 | + | 0.0658018i | ||||
\(986\) | −2.77088 | − | 3.19776i | −0.0882427 | − | 0.101838i | ||||
\(987\) | −15.2001 | + | 0.330579i | −0.483824 | + | 0.0105225i | ||||
\(988\) | 1.36736 | 0.0435015 | ||||||||
\(989\) | 10.7721 | − | 47.4172i | 0.342533 | − | 1.50778i | ||||
\(990\) | −2.26647 | + | 3.92564i | −0.0720332 | + | 0.124765i | ||||
\(991\) | −10.0490 | + | 41.4227i | −0.319218 | + | 1.31584i | 0.555626 | + | 0.831432i | \(0.312479\pi\) |
−0.874844 | + | 0.484404i | \(0.839037\pi\) | |||||||
\(992\) | 3.62366 | − | 10.4699i | 0.115051 | − | 0.332419i | ||||
\(993\) | −0.473500 | + | 0.304300i | −0.0150261 | + | 0.00965667i | ||||
\(994\) | −25.8790 | + | 11.0191i | −0.820831 | + | 0.349506i | ||||
\(995\) | −32.8007 | − | 21.0797i | −1.03985 | − | 0.668272i | ||||
\(996\) | 7.23716 | − | 0.691065i | 0.229318 | − | 0.0218972i | ||||
\(997\) | 19.2139 | + | 55.5148i | 0.608509 | + | 1.75817i | 0.651003 | + | 0.759075i | \(0.274348\pi\) |
−0.0424941 | + | 0.999097i | \(0.513530\pi\) | |||||||
\(998\) | −24.7352 | − | 19.4520i | −0.782980 | − | 0.615742i | ||||
\(999\) | −0.0265943 | + | 0.0373464i | −0.000841406 | + | 0.00118159i |
(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 | 483.2.y.b.193.11 | ✓ | 320 | |
7.2 | even | 3 | inner | 483.2.y.b.331.11 | yes | 320 | |
23.18 | even | 11 | inner | 483.2.y.b.340.11 | yes | 320 | |
161.156 | even | 33 | inner | 483.2.y.b.478.11 | yes | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.y.b.193.11 | ✓ | 320 | 1.1 | even | 1 | trivial | |
483.2.y.b.331.11 | yes | 320 | 7.2 | even | 3 | inner | |
483.2.y.b.340.11 | yes | 320 | 23.18 | even | 11 | inner | |
483.2.y.b.478.11 | yes | 320 | 161.156 | even | 33 | inner |