Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(7,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(44))
chi = DirichletCharacter(H, H._module([0, 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("690.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.w (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: | \(5.50967773947\) |
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 | 7.10 | ||
Character | \(\chi\) | \(=\) | 690.7 |
Dual form | 690.2.w.a.493.10 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(e\left(\frac{19}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.997452 | − | 0.0713392i | 0.705305 | − | 0.0504444i | ||||
\(3\) | −0.212565 | + | 0.977147i | −0.122725 | + | 0.564156i | ||||
\(4\) | 0.989821 | − | 0.142315i | 0.494911 | − | 0.0711574i | ||||
\(5\) | −0.244725 | + | 2.22264i | −0.109444 | + | 0.993993i | ||||
\(6\) | −0.142315 | + | 0.989821i | −0.0580998 | + | 0.404093i | ||||
\(7\) | −1.14160 | + | 2.09069i | −0.431486 | + | 0.790208i | −0.999461 | − | 0.0328385i | \(-0.989545\pi\) |
0.567975 | + | 0.823046i | \(0.307727\pi\) | |||||||
\(8\) | 0.977147 | − | 0.212565i | 0.345474 | − | 0.0751532i | ||||
\(9\) | −0.909632 | − | 0.415415i | −0.303211 | − | 0.138472i | ||||
\(10\) | −0.0855405 | + | 2.23443i | −0.0270503 | + | 0.706589i | ||||
\(11\) | −2.30969 | + | 2.00135i | −0.696397 | + | 0.603431i | −0.929413 | − | 0.369042i | \(-0.879686\pi\) |
0.233016 | + | 0.972473i | \(0.425141\pi\) | |||||||
\(12\) | −0.0713392 | + | 0.997452i | −0.0205938 | + | 0.287940i | ||||
\(13\) | −2.62824 | + | 1.43513i | −0.728942 | + | 0.398033i | −0.800444 | − | 0.599408i | \(-0.795403\pi\) |
0.0715014 | + | 0.997440i | \(0.477221\pi\) | |||||||
\(14\) | −0.989548 | + | 2.16681i | −0.264468 | + | 0.579103i | ||||
\(15\) | −2.11982 | − | 0.711587i | −0.547336 | − | 0.183731i | ||||
\(16\) | 0.959493 | − | 0.281733i | 0.239873 | − | 0.0704331i | ||||
\(17\) | −3.50746 | − | 4.68542i | −0.850684 | − | 1.13638i | −0.989280 | − | 0.146031i | \(-0.953350\pi\) |
0.138596 | − | 0.990349i | \(-0.455741\pi\) | |||||||
\(18\) | −0.936950 | − | 0.349464i | −0.220841 | − | 0.0823695i | ||||
\(19\) | −0.140830 | − | 0.979493i | −0.0323086 | − | 0.224711i | 0.967270 | − | 0.253751i | \(-0.0816643\pi\) |
−0.999578 | + | 0.0290394i | \(0.990755\pi\) | |||||||
\(20\) | 0.0740800 | + | 2.23484i | 0.0165648 | + | 0.499726i | ||||
\(21\) | −1.80025 | − | 1.55992i | −0.392846 | − | 0.340403i | ||||
\(22\) | −2.16103 | + | 2.16103i | −0.460732 | + | 0.460732i | ||||
\(23\) | 4.59431 | − | 1.37563i | 0.957979 | − | 0.286839i | ||||
\(24\) | 1.00000i | 0.204124i | ||||||||
\(25\) | −4.88022 | − | 1.08787i | −0.976044 | − | 0.217574i | ||||
\(26\) | −2.51916 | + | 1.61897i | −0.494048 | + | 0.317506i | ||||
\(27\) | 0.599278 | − | 0.800541i | 0.115331 | − | 0.154064i | ||||
\(28\) | −0.832448 | + | 2.23188i | −0.157318 | + | 0.421786i | ||||
\(29\) | 0.861813 | + | 0.123910i | 0.160035 | + | 0.0230095i | 0.221866 | − | 0.975077i | \(-0.428785\pi\) |
−0.0618317 | + | 0.998087i | \(0.519694\pi\) | |||||||
\(30\) | −2.16518 | − | 0.558548i | −0.395307 | − | 0.101976i | ||||
\(31\) | 8.81840 | + | 5.66724i | 1.58383 | + | 1.01787i | 0.974342 | + | 0.225073i | \(0.0722620\pi\) |
0.609490 | + | 0.792794i | \(0.291374\pi\) | |||||||
\(32\) | 0.936950 | − | 0.349464i | 0.165631 | − | 0.0617771i | ||||
\(33\) | −1.46466 | − | 2.68232i | −0.254964 | − | 0.466932i | ||||
\(34\) | −3.83278 | − | 4.42326i | −0.657316 | − | 0.758583i | ||||
\(35\) | −4.36747 | − | 3.04902i | −0.738237 | − | 0.515378i | ||||
\(36\) | −0.959493 | − | 0.281733i | −0.159915 | − | 0.0469554i | ||||
\(37\) | 2.56804 | + | 6.88519i | 0.422183 | + | 1.13192i | 0.957795 | + | 0.287453i | \(0.0928085\pi\) |
−0.535611 | + | 0.844465i | \(0.679919\pi\) | |||||||
\(38\) | −0.210347 | − | 0.966951i | −0.0341228 | − | 0.156860i | ||||
\(39\) | −0.843658 | − | 2.87323i | −0.135093 | − | 0.460086i | ||||
\(40\) | 0.233323 | + | 2.22386i | 0.0368916 | + | 0.351623i | ||||
\(41\) | 4.85958 | + | 10.6410i | 0.758938 | + | 1.66184i | 0.749604 | + | 0.661887i | \(0.230244\pi\) |
0.00933471 | + | 0.999956i | \(0.497029\pi\) | |||||||
\(42\) | −1.90695 | − | 1.42752i | −0.294248 | − | 0.220271i | ||||
\(43\) | −4.13340 | − | 0.899167i | −0.630338 | − | 0.137122i | −0.113964 | − | 0.993485i | \(-0.536355\pi\) |
−0.516374 | + | 0.856363i | \(0.672719\pi\) | |||||||
\(44\) | −2.00135 | + | 2.30969i | −0.301716 | + | 0.348198i | ||||
\(45\) | 1.14593 | − | 1.92012i | 0.170825 | − | 0.286234i | ||||
\(46\) | 4.48446 | − | 1.69988i | 0.661198 | − | 0.250633i | ||||
\(47\) | −0.0353404 | − | 0.0353404i | −0.00515493 | − | 0.00515493i | 0.704525 | − | 0.709680i | \(-0.251160\pi\) |
−0.709680 | + | 0.704525i | \(0.751160\pi\) | |||||||
\(48\) | 0.0713392 | + | 0.997452i | 0.0102969 | + | 0.143970i | ||||
\(49\) | 0.716751 | + | 1.11529i | 0.102393 | + | 0.159327i | ||||
\(50\) | −4.94539 | − | 0.736947i | −0.699384 | − | 0.104220i | ||||
\(51\) | 5.32390 | − | 2.43135i | 0.745496 | − | 0.340456i | ||||
\(52\) | −2.39725 | + | 1.79456i | −0.332438 | + | 0.248860i | ||||
\(53\) | −3.11123 | − | 1.69886i | −0.427360 | − | 0.233356i | 0.251149 | − | 0.967949i | \(-0.419192\pi\) |
−0.678509 | + | 0.734592i | \(0.737374\pi\) | |||||||
\(54\) | 0.540641 | − | 0.841254i | 0.0735719 | − | 0.114480i | ||||
\(55\) | −3.88304 | − | 5.62337i | −0.523590 | − | 0.758256i | ||||
\(56\) | −0.671107 | + | 2.28558i | −0.0896804 | + | 0.305423i | ||||
\(57\) | 0.987044 | + | 0.0705948i | 0.130737 | + | 0.00935051i | ||||
\(58\) | 0.868457 | + | 0.0621132i | 0.114034 | + | 0.00815587i | ||||
\(59\) | 2.30687 | − | 7.85647i | 0.300329 | − | 1.02283i | −0.661675 | − | 0.749790i | \(-0.730154\pi\) |
0.962004 | − | 0.273035i | \(-0.0880275\pi\) | |||||||
\(60\) | −2.19951 | − | 0.402663i | −0.283956 | − | 0.0519835i | ||||
\(61\) | −5.80221 | + | 9.02841i | −0.742896 | + | 1.15597i | 0.239814 | + | 0.970819i | \(0.422914\pi\) |
−0.982710 | + | 0.185151i | \(0.940723\pi\) | |||||||
\(62\) | 9.20023 | + | 5.02371i | 1.16843 | + | 0.638011i | ||||
\(63\) | 1.90695 | − | 1.42752i | 0.240252 | − | 0.179851i | ||||
\(64\) | 0.909632 | − | 0.415415i | 0.113704 | − | 0.0519269i | ||||
\(65\) | −2.54657 | − | 6.19283i | −0.315863 | − | 0.768126i | ||||
\(66\) | −1.65228 | − | 2.57100i | −0.203382 | − | 0.316468i | ||||
\(67\) | −0.112095 | − | 1.56730i | −0.0136946 | − | 0.191476i | −0.999694 | − | 0.0247280i | \(-0.992128\pi\) |
0.986000 | − | 0.166748i | \(-0.0533265\pi\) | |||||||
\(68\) | −4.13856 | − | 4.13856i | −0.501874 | − | 0.501874i | ||||
\(69\) | 0.367603 | + | 4.78172i | 0.0442542 | + | 0.575652i | ||||
\(70\) | −4.57386 | − | 2.72968i | −0.546680 | − | 0.326259i | ||||
\(71\) | 1.17691 | − | 1.35823i | 0.139674 | − | 0.161192i | −0.681603 | − | 0.731722i | \(-0.738717\pi\) |
0.821277 | + | 0.570530i | \(0.193262\pi\) | |||||||
\(72\) | −0.977147 | − | 0.212565i | −0.115158 | − | 0.0250511i | ||||
\(73\) | 12.2403 | + | 9.16298i | 1.43262 | + | 1.07245i | 0.983889 | + | 0.178778i | \(0.0572145\pi\) |
0.448730 | + | 0.893667i | \(0.351876\pi\) | |||||||
\(74\) | 3.05268 | + | 6.68444i | 0.354867 | + | 0.777050i | ||||
\(75\) | 2.10037 | − | 4.53745i | 0.242530 | − | 0.523939i | ||||
\(76\) | −0.278793 | − | 0.949481i | −0.0319797 | − | 0.108913i | ||||
\(77\) | −1.54747 | − | 7.11360i | −0.176350 | − | 0.810670i | ||||
\(78\) | −1.04648 | − | 2.80573i | −0.118491 | − | 0.317686i | ||||
\(79\) | 16.0559 | + | 4.71444i | 1.80643 | + | 0.530416i | 0.998284 | − | 0.0585643i | \(-0.0186523\pi\) |
0.808147 | + | 0.588980i | \(0.200470\pi\) | |||||||
\(80\) | 0.391377 | + | 2.20155i | 0.0437573 | + | 0.246141i | ||||
\(81\) | 0.654861 | + | 0.755750i | 0.0727623 | + | 0.0839722i | ||||
\(82\) | 5.60631 | + | 10.2672i | 0.619114 | + | 1.13382i | ||||
\(83\) | −5.29729 | + | 1.97579i | −0.581453 | + | 0.216871i | −0.622942 | − | 0.782268i | \(-0.714063\pi\) |
0.0414887 | + | 0.999139i | \(0.486790\pi\) | |||||||
\(84\) | −2.00392 | − | 1.28784i | −0.218646 | − | 0.140515i | ||||
\(85\) | 11.2723 | − | 6.64916i | 1.22266 | − | 0.721203i | ||||
\(86\) | −4.18702 | − | 0.602002i | −0.451498 | − | 0.0649156i | ||||
\(87\) | −0.304270 | + | 0.815779i | −0.0326211 | + | 0.0874607i | ||||
\(88\) | −1.83148 | + | 2.44658i | −0.195237 | + | 0.260806i | ||||
\(89\) | 5.50859 | − | 3.54016i | 0.583910 | − | 0.375256i | −0.215084 | − | 0.976596i | \(-0.569002\pi\) |
0.798994 | + | 0.601340i | \(0.205366\pi\) | |||||||
\(90\) | 1.00603 | − | 1.99698i | 0.106045 | − | 0.210500i | ||||
\(91\) | − | 7.13319i | − | 0.747761i | ||||||
\(92\) | 4.35177 | − | 2.01547i | 0.453703 | − | 0.210127i | ||||
\(93\) | −7.41221 | + | 7.41221i | −0.768611 | + | 0.768611i | ||||
\(94\) | −0.0377715 | − | 0.0327292i | −0.00389583 | − | 0.00337576i | ||||
\(95\) | 2.21152 | − | 0.0733070i | 0.226897 | − | 0.00752114i | ||||
\(96\) | 0.142315 | + | 0.989821i | 0.0145249 | + | 0.101023i | ||||
\(97\) | −2.34286 | − | 0.873842i | −0.237881 | − | 0.0887252i | 0.227696 | − | 0.973732i | \(-0.426881\pi\) |
−0.465578 | + | 0.885007i | \(0.654153\pi\) | |||||||
\(98\) | 0.794489 | + | 1.06131i | 0.0802555 | + | 0.107209i | ||||
\(99\) | 2.93236 | − | 0.861018i | 0.294713 | − | 0.0865356i | ||||
\(100\) | −4.98537 | − | 0.382269i | −0.498537 | − | 0.0382269i | ||||
\(101\) | −2.18984 | + | 4.79507i | −0.217897 | + | 0.477127i | −0.986740 | − | 0.162310i | \(-0.948105\pi\) |
0.768843 | + | 0.639438i | \(0.220833\pi\) | |||||||
\(102\) | 5.13689 | − | 2.80495i | 0.508628 | − | 0.277732i | ||||
\(103\) | 0.564630 | − | 7.89456i | 0.0556346 | − | 0.777874i | −0.890681 | − | 0.454629i | \(-0.849772\pi\) |
0.946315 | − | 0.323245i | \(-0.104774\pi\) | |||||||
\(104\) | −2.26312 | + | 1.96100i | −0.221917 | + | 0.192292i | ||||
\(105\) | 3.90771 | − | 3.61954i | 0.381353 | − | 0.353231i | ||||
\(106\) | −3.22450 | − | 1.47258i | −0.313191 | − | 0.143029i | ||||
\(107\) | 0.311046 | − | 0.0676639i | 0.0300700 | − | 0.00654132i | −0.197505 | − | 0.980302i | \(-0.563284\pi\) |
0.227575 | + | 0.973761i | \(0.426920\pi\) | |||||||
\(108\) | 0.479249 | − | 0.877679i | 0.0461158 | − | 0.0844547i | ||||
\(109\) | 1.84890 | − | 12.8594i | 0.177093 | − | 1.23171i | −0.686354 | − | 0.727268i | \(-0.740790\pi\) |
0.863447 | − | 0.504440i | \(-0.168301\pi\) | |||||||
\(110\) | −4.27432 | − | 5.33203i | −0.407540 | − | 0.508389i | ||||
\(111\) | −7.27371 | + | 1.04580i | −0.690390 | + | 0.0992632i | ||||
\(112\) | −0.506345 | + | 2.32763i | −0.0478451 | + | 0.219941i | ||||
\(113\) | −16.0340 | + | 1.14678i | −1.50835 | + | 0.107880i | −0.800865 | − | 0.598845i | \(-0.795626\pi\) |
−0.707488 | + | 0.706725i | \(0.750172\pi\) | |||||||
\(114\) | 0.989566 | 0.0926813 | ||||||||
\(115\) | 1.93318 | + | 10.5481i | 0.180270 | + | 0.983617i | ||||
\(116\) | 0.870675 | 0.0808401 | ||||||||
\(117\) | 2.98690 | − | 0.213628i | 0.276139 | − | 0.0197499i | ||||
\(118\) | 1.74052 | − | 8.00102i | 0.160228 | − | 0.736554i | ||||
\(119\) | 13.7999 | − | 1.98413i | 1.26503 | − | 0.181884i | ||||
\(120\) | −2.22264 | − | 0.244725i | −0.202898 | − | 0.0223402i | ||||
\(121\) | −0.236232 | + | 1.64303i | −0.0214756 | + | 0.149366i | ||||
\(122\) | −5.14334 | + | 9.41933i | −0.465656 | + | 0.852786i | ||||
\(123\) | −11.4308 | + | 2.48662i | −1.03068 | + | 0.224211i | ||||
\(124\) | 9.53518 | + | 4.35457i | 0.856284 | + | 0.391052i | ||||
\(125\) | 3.61225 | − | 10.5807i | 0.323089 | − | 0.946368i | ||||
\(126\) | 1.80025 | − | 1.55992i | 0.160379 | − | 0.138969i | ||||
\(127\) | −0.164150 | + | 2.29512i | −0.0145660 | + | 0.203659i | 0.984958 | + | 0.172796i | \(0.0552801\pi\) |
−0.999524 | + | 0.0308630i | \(0.990174\pi\) | |||||||
\(128\) | 0.877679 | − | 0.479249i | 0.0775766 | − | 0.0423600i | ||||
\(129\) | 1.75724 | − | 3.84781i | 0.154716 | − | 0.338781i | ||||
\(130\) | −2.98187 | − | 5.99538i | −0.261527 | − | 0.525830i | ||||
\(131\) | 1.85547 | − | 0.544815i | 0.162113 | − | 0.0476007i | −0.199669 | − | 0.979863i | \(-0.563987\pi\) |
0.361782 | + | 0.932263i | \(0.382168\pi\) | |||||||
\(132\) | −1.83148 | − | 2.44658i | −0.159410 | − | 0.212947i | ||||
\(133\) | 2.20859 | + | 0.823762i | 0.191509 | + | 0.0714292i | ||||
\(134\) | −0.223619 | − | 1.55531i | −0.0193178 | − | 0.134358i | ||||
\(135\) | 1.63265 | + | 1.52789i | 0.140516 | + | 0.131500i | ||||
\(136\) | −4.42326 | − | 3.83278i | −0.379291 | − | 0.328658i | ||||
\(137\) | 9.28084 | − | 9.28084i | 0.792915 | − | 0.792915i | −0.189052 | − | 0.981967i | \(-0.560541\pi\) |
0.981967 | + | 0.189052i | \(0.0605414\pi\) | |||||||
\(138\) | 0.707790 | + | 4.74331i | 0.0602511 | + | 0.403778i | ||||
\(139\) | − | 15.4238i | − | 1.30823i | −0.756396 | − | 0.654114i | \(-0.773041\pi\) | ||
0.756396 | − | 0.654114i | \(-0.226959\pi\) | |||||||
\(140\) | −4.75693 | − | 2.39643i | −0.402034 | − | 0.202535i | ||||
\(141\) | 0.0420449 | − | 0.0270206i | 0.00354082 | − | 0.00227555i | ||||
\(142\) | 1.07702 | − | 1.43873i | 0.0903815 | − | 0.120736i | ||||
\(143\) | 3.19821 | − | 8.57473i | 0.267448 | − | 0.717055i | ||||
\(144\) | −0.989821 | − | 0.142315i | −0.0824851 | − | 0.0118596i | ||||
\(145\) | −0.486314 | + | 1.88517i | −0.0403862 | + | 0.156555i | ||||
\(146\) | 12.8628 | + | 8.26642i | 1.06453 | + | 0.684134i | ||||
\(147\) | −1.24216 | + | 0.463300i | −0.102451 | + | 0.0382123i | ||||
\(148\) | 3.52177 | + | 6.44963i | 0.289487 | + | 0.530157i | ||||
\(149\) | −10.9813 | − | 12.6731i | −0.899622 | − | 1.03822i | −0.999067 | − | 0.0431766i | \(-0.986252\pi\) |
0.0994450 | − | 0.995043i | \(-0.468293\pi\) | |||||||
\(150\) | 1.77132 | − | 4.67573i | 0.144628 | − | 0.381771i | ||||
\(151\) | 4.85383 | + | 1.42521i | 0.394999 | + | 0.115982i | 0.473199 | − | 0.880955i | \(-0.343099\pi\) |
−0.0781999 | + | 0.996938i | \(0.524917\pi\) | |||||||
\(152\) | −0.345818 | − | 0.927173i | −0.0280495 | − | 0.0752037i | ||||
\(153\) | 1.24410 | + | 5.71906i | 0.100580 | + | 0.462358i | ||||
\(154\) | −2.05100 | − | 6.98508i | −0.165275 | − | 0.562874i | ||||
\(155\) | −14.7543 | + | 18.2132i | −1.18509 | + | 1.46292i | ||||
\(156\) | −1.24397 | − | 2.72392i | −0.0995976 | − | 0.218088i | ||||
\(157\) | 5.34125 | + | 3.99841i | 0.426278 | + | 0.319108i | 0.790786 | − | 0.612092i | \(-0.209672\pi\) |
−0.364508 | + | 0.931200i | \(0.618763\pi\) | |||||||
\(158\) | 16.3513 | + | 3.55701i | 1.30084 | + | 0.282981i | ||||
\(159\) | 2.32137 | − | 2.67901i | 0.184097 | − | 0.212459i | ||||
\(160\) | 0.547437 | + | 2.16802i | 0.0432787 | + | 0.171397i | ||||
\(161\) | −2.36886 | + | 11.1757i | −0.186692 | + | 0.880769i | ||||
\(162\) | 0.707107 | + | 0.707107i | 0.0555556 | + | 0.0555556i | ||||
\(163\) | 0.106964 | + | 1.49555i | 0.00837804 | + | 0.117140i | 0.999920 | − | 0.0126460i | \(-0.00402544\pi\) |
−0.991542 | + | 0.129786i | \(0.958571\pi\) | |||||||
\(164\) | 6.32448 | + | 9.84109i | 0.493859 | + | 0.768460i | ||||
\(165\) | 6.32026 | − | 2.59897i | 0.492032 | − | 0.202330i | ||||
\(166\) | −5.14284 | + | 2.34866i | −0.399162 | + | 0.182291i | ||||
\(167\) | 7.14593 | − | 5.34938i | 0.552969 | − | 0.413947i | −0.285917 | − | 0.958254i | \(-0.592298\pi\) |
0.838886 | + | 0.544307i | \(0.183207\pi\) | |||||||
\(168\) | −2.09069 | − | 1.14160i | −0.161300 | − | 0.0880767i | ||||
\(169\) | −2.18028 | + | 3.39258i | −0.167714 | + | 0.260968i | ||||
\(170\) | 10.7693 | − | 7.43638i | 0.825965 | − | 0.570344i | ||||
\(171\) | −0.278793 | + | 0.949481i | −0.0213198 | + | 0.0726086i | ||||
\(172\) | −4.21930 | − | 0.301770i | −0.321718 | − | 0.0230098i | ||||
\(173\) | −6.76174 | − | 0.483609i | −0.514086 | − | 0.0367681i | −0.188113 | − | 0.982147i | \(-0.560237\pi\) |
−0.325973 | + | 0.945379i | \(0.605692\pi\) | |||||||
\(174\) | −0.245298 | + | 0.835407i | −0.0185960 | + | 0.0633320i | ||||
\(175\) | 7.84568 | − | 8.96112i | 0.593078 | − | 0.677397i | ||||
\(176\) | −1.65228 | + | 2.57100i | −0.124545 | + | 0.193796i | ||||
\(177\) | 7.18657 | + | 3.92416i | 0.540175 | + | 0.294958i | ||||
\(178\) | 5.24201 | − | 3.92412i | 0.392905 | − | 0.294125i | ||||
\(179\) | 2.12122 | − | 0.968731i | 0.158548 | − | 0.0724063i | −0.334561 | − | 0.942374i | \(-0.608588\pi\) |
0.493108 | + | 0.869968i | \(0.335861\pi\) | |||||||
\(180\) | 0.861001 | − | 2.06366i | 0.0641752 | − | 0.153816i | ||||
\(181\) | 10.8796 | + | 16.9290i | 0.808677 | + | 1.25833i | 0.962784 | + | 0.270271i | \(0.0871134\pi\) |
−0.154108 | + | 0.988054i | \(0.549250\pi\) | |||||||
\(182\) | −0.508876 | − | 7.11501i | −0.0377204 | − | 0.527400i | ||||
\(183\) | −7.58873 | − | 7.58873i | −0.560975 | − | 0.560975i | ||||
\(184\) | 4.19690 | − | 2.32078i | 0.309400 | − | 0.171090i | ||||
\(185\) | −15.9317 | + | 4.02284i | −1.17132 | + | 0.295765i | ||||
\(186\) | −6.86455 | + | 7.92211i | −0.503333 | + | 0.580877i | ||||
\(187\) | 17.4783 | + | 3.80217i | 1.27814 | + | 0.278042i | ||||
\(188\) | −0.0400101 | − | 0.0299512i | −0.00291804 | − | 0.00218442i | ||||
\(189\) | 0.989548 | + | 2.16681i | 0.0719790 | + | 0.157612i | ||||
\(190\) | 2.20066 | − | 0.230888i | 0.159652 | − | 0.0167504i | ||||
\(191\) | −6.89390 | − | 23.4785i | −0.498825 | − | 1.69884i | −0.695631 | − | 0.718400i | \(-0.744875\pi\) |
0.196806 | − | 0.980443i | \(-0.436943\pi\) | |||||||
\(192\) | 0.212565 | + | 0.977147i | 0.0153406 | + | 0.0705195i | ||||
\(193\) | 5.48408 | + | 14.7034i | 0.394752 | + | 1.05837i | 0.970575 | + | 0.240798i | \(0.0774091\pi\) |
−0.575823 | + | 0.817575i | \(0.695318\pi\) | |||||||
\(194\) | −2.39923 | − | 0.704478i | −0.172255 | − | 0.0505786i | ||||
\(195\) | 6.59262 | − | 1.17199i | 0.472107 | − | 0.0839280i | ||||
\(196\) | 0.868178 | + | 1.00193i | 0.0620127 | + | 0.0715665i | ||||
\(197\) | −13.0299 | − | 23.8625i | −0.928343 | − | 1.70013i | −0.682591 | − | 0.730800i | \(-0.739147\pi\) |
−0.245752 | − | 0.969333i | \(-0.579035\pi\) | |||||||
\(198\) | 2.86346 | − | 1.06802i | 0.203497 | − | 0.0759006i | ||||
\(199\) | 10.9459 | + | 7.03451i | 0.775935 | + | 0.498663i | 0.867682 | − | 0.497119i | \(-0.165609\pi\) |
−0.0917475 | + | 0.995782i | \(0.529245\pi\) | |||||||
\(200\) | −4.99993 | − | 0.0256427i | −0.353549 | − | 0.00181321i | ||||
\(201\) | 1.55531 | + | 0.223619i | 0.109703 | + | 0.0157729i | ||||
\(202\) | −1.84218 | + | 4.93907i | −0.129615 | + | 0.347512i | ||||
\(203\) | −1.24291 | + | 1.66033i | −0.0872350 | + | 0.116532i | ||||
\(204\) | 4.92370 | − | 3.16427i | 0.344728 | − | 0.221543i | ||||
\(205\) | −24.8403 | + | 8.19695i | −1.73492 | + | 0.572500i | ||||
\(206\) | − | 7.91472i | − | 0.551445i | ||||||
\(207\) | −4.75058 | − | 0.657226i | −0.330188 | − | 0.0456804i | ||||
\(208\) | −2.11745 | + | 2.11745i | −0.146819 | + | 0.146819i | ||||
\(209\) | 2.28559 | + | 1.98047i | 0.158097 | + | 0.136992i | ||||
\(210\) | 3.63954 | − | 3.88909i | 0.251152 | − | 0.268373i | ||||
\(211\) | −3.64083 | − | 25.3225i | −0.250645 | − | 1.74328i | −0.594358 | − | 0.804201i | \(-0.702594\pi\) |
0.343712 | − | 0.939075i | \(-0.388315\pi\) | |||||||
\(212\) | −3.32133 | − | 1.23879i | −0.228110 | − | 0.0850807i | ||||
\(213\) | 1.07702 | + | 1.43873i | 0.0737962 | + | 0.0985802i | ||||
\(214\) | 0.305427 | − | 0.0896813i | 0.0208785 | − | 0.00613049i | ||||
\(215\) | 3.01007 | − | 8.96700i | 0.205285 | − | 0.611545i | ||||
\(216\) | 0.415415 | − | 0.909632i | 0.0282654 | − | 0.0618926i | ||||
\(217\) | −21.9156 | + | 11.9668i | −1.48773 | + | 0.812360i | ||||
\(218\) | 0.926813 | − | 12.9585i | 0.0627717 | − | 0.877663i | ||||
\(219\) | −11.5554 | + | 10.0128i | −0.780844 | + | 0.676605i | ||||
\(220\) | −4.64381 | − | 5.01352i | −0.313086 | − | 0.338012i | ||||
\(221\) | 15.9426 | + | 7.28074i | 1.07242 | + | 0.489756i | ||||
\(222\) | −7.18057 | + | 1.56204i | −0.481929 | + | 0.104837i | ||||
\(223\) | 1.30657 | − | 2.39280i | 0.0874942 | − | 0.160234i | −0.830268 | − | 0.557365i | \(-0.811812\pi\) |
0.917762 | + | 0.397131i | \(0.129994\pi\) | |||||||
\(224\) | −0.339004 | + | 2.35782i | −0.0226506 | + | 0.157539i | ||||
\(225\) | 3.98729 | + | 3.01688i | 0.265819 | + | 0.201125i | ||||
\(226\) | −15.9113 | + | 2.28771i | −1.05841 | + | 0.152176i | ||||
\(227\) | −3.71685 | + | 17.0861i | −0.246696 | + | 1.13404i | 0.672456 | + | 0.740138i | \(0.265240\pi\) |
−0.919151 | + | 0.393905i | \(0.871124\pi\) | |||||||
\(228\) | 0.987044 | − | 0.0705948i | 0.0653686 | − | 0.00467526i | ||||
\(229\) | 7.47461 | 0.493936 | 0.246968 | − | 0.969024i | \(-0.420566\pi\) | ||||
0.246968 | + | 0.969024i | \(0.420566\pi\) | |||||||
\(230\) | 2.68075 | + | 10.3833i | 0.176764 | + | 0.684657i | ||||
\(231\) | 7.27997 | 0.478987 | ||||||||
\(232\) | 0.868457 | − | 0.0621132i | 0.0570170 | − | 0.00407793i | ||||
\(233\) | 2.62421 | − | 12.0633i | 0.171917 | − | 0.790292i | −0.807728 | − | 0.589555i | \(-0.799303\pi\) |
0.979645 | − | 0.200736i | \(-0.0643334\pi\) | |||||||
\(234\) | 2.96405 | − | 0.426167i | 0.193766 | − | 0.0278594i | ||||
\(235\) | 0.0871975 | − | 0.0699002i | 0.00568814 | − | 0.00455978i | ||||
\(236\) | 1.16530 | − | 8.10481i | 0.0758542 | − | 0.527578i | ||||
\(237\) | −8.01963 | + | 14.6869i | −0.520931 | + | 0.954014i | ||||
\(238\) | 13.6232 | − | 2.96354i | 0.883060 | − | 0.192098i | ||||
\(239\) | −8.48816 | − | 3.87641i | −0.549053 | − | 0.250744i | 0.121518 | − | 0.992589i | \(-0.461224\pi\) |
−0.670571 | + | 0.741845i | \(0.733951\pi\) | |||||||
\(240\) | −2.23443 | − | 0.0855405i | −0.144232 | − | 0.00552161i | ||||
\(241\) | −19.3040 | + | 16.7270i | −1.24348 | + | 1.07748i | −0.249451 | + | 0.968387i | \(0.580250\pi\) |
−0.994031 | + | 0.109096i | \(0.965204\pi\) | |||||||
\(242\) | −0.118418 | + | 1.65570i | −0.00761218 | + | 0.106432i | ||||
\(243\) | −0.877679 | + | 0.479249i | −0.0563031 | + | 0.0307438i | ||||
\(244\) | −4.45827 | + | 9.76225i | −0.285412 | + | 0.624964i | ||||
\(245\) | −2.65428 | + | 1.32014i | −0.169576 | + | 0.0843405i | ||||
\(246\) | −11.2243 | + | 3.29574i | −0.715633 | + | 0.210129i | ||||
\(247\) | 1.77583 | + | 2.37223i | 0.112993 | + | 0.150942i | ||||
\(248\) | 9.82153 | + | 3.66324i | 0.623668 | + | 0.232616i | ||||
\(249\) | −0.804614 | − | 5.59621i | −0.0509904 | − | 0.354646i | ||||
\(250\) | 2.84822 | − | 10.8115i | 0.180138 | − | 0.683777i | ||||
\(251\) | 10.2649 | + | 8.89460i | 0.647916 | + | 0.561422i | 0.915603 | − | 0.402083i | \(-0.131714\pi\) |
−0.267687 | + | 0.963506i | \(0.586259\pi\) | |||||||
\(252\) | 1.68438 | − | 1.68438i | 0.106106 | − | 0.106106i | ||||
\(253\) | −7.85828 | + | 12.3721i | −0.494046 | + | 0.777828i | ||||
\(254\) | 2.30098i | 0.144376i | ||||||||
\(255\) | 4.10110 | + | 12.4281i | 0.256821 | + | 0.778278i | ||||
\(256\) | 0.841254 | − | 0.540641i | 0.0525783 | − | 0.0337901i | ||||
\(257\) | −2.59639 | + | 3.46838i | −0.161959 | + | 0.216351i | −0.874178 | − | 0.485605i | \(-0.838599\pi\) |
0.712219 | + | 0.701957i | \(0.247690\pi\) | |||||||
\(258\) | 1.47826 | − | 3.96337i | 0.0920324 | − | 0.246749i | ||||
\(259\) | −17.3265 | − | 2.49117i | −1.07662 | − | 0.154794i | ||||
\(260\) | −3.40198 | − | 5.76738i | −0.210982 | − | 0.357678i | ||||
\(261\) | −0.732458 | − | 0.470722i | −0.0453380 | − | 0.0291370i | ||||
\(262\) | 1.81188 | − | 0.675795i | 0.111938 | − | 0.0417507i | ||||
\(263\) | 0.538290 | + | 0.985805i | 0.0331924 | + | 0.0607873i | 0.893749 | − | 0.448568i | \(-0.148066\pi\) |
−0.860556 | + | 0.509355i | \(0.829884\pi\) | |||||||
\(264\) | −2.00135 | − | 2.30969i | −0.123175 | − | 0.142151i | ||||
\(265\) | 4.53734 | − | 6.49938i | 0.278727 | − | 0.399253i | ||||
\(266\) | 2.26173 | + | 0.664104i | 0.138676 | + | 0.0407188i | ||||
\(267\) | 2.28832 | + | 6.13522i | 0.140043 | + | 0.375469i | ||||
\(268\) | −0.334004 | − | 1.53539i | −0.0204025 | − | 0.0937889i | ||||
\(269\) | −1.00766 | − | 3.43177i | −0.0614381 | − | 0.209239i | 0.923053 | − | 0.384672i | \(-0.125686\pi\) |
−0.984491 | + | 0.175433i | \(0.943867\pi\) | |||||||
\(270\) | 1.73749 | + | 1.40752i | 0.105740 | + | 0.0856591i | ||||
\(271\) | −1.58384 | − | 3.46812i | −0.0962113 | − | 0.210673i | 0.855407 | − | 0.517957i | \(-0.173307\pi\) |
−0.951618 | + | 0.307284i | \(0.900580\pi\) | |||||||
\(272\) | −4.68542 | − | 3.50746i | −0.284095 | − | 0.212671i | ||||
\(273\) | 6.97017 | + | 1.51627i | 0.421854 | + | 0.0917687i | ||||
\(274\) | 8.59510 | − | 9.91928i | 0.519249 | − | 0.599246i | ||||
\(275\) | 13.4490 | − | 7.25441i | 0.811005 | − | 0.437458i | ||||
\(276\) | 1.04437 | + | 4.68074i | 0.0628638 | + | 0.281747i | ||||
\(277\) | −14.2261 | − | 14.2261i | −0.854763 | − | 0.854763i | 0.135952 | − | 0.990715i | \(-0.456591\pi\) |
−0.990715 | + | 0.135952i | \(0.956591\pi\) | |||||||
\(278\) | −1.10032 | − | 15.3845i | −0.0659929 | − | 0.922701i | ||||
\(279\) | −5.66724 | − | 8.81840i | −0.339289 | − | 0.527944i | ||||
\(280\) | −4.91577 | − | 2.05096i | −0.293774 | − | 0.122569i | ||||
\(281\) | 22.0443 | − | 10.0673i | 1.31505 | − | 0.600564i | 0.370472 | − | 0.928844i | \(-0.379196\pi\) |
0.944581 | + | 0.328280i | \(0.106469\pi\) | |||||||
\(282\) | 0.0400101 | − | 0.0299512i | 0.00238257 | − | 0.00178357i | ||||
\(283\) | −6.66835 | − | 3.64119i | −0.396392 | − | 0.216446i | 0.268674 | − | 0.963231i | \(-0.413415\pi\) |
−0.665066 | + | 0.746785i | \(0.731596\pi\) | |||||||
\(284\) | 0.971638 | − | 1.51190i | 0.0576561 | − | 0.0897147i | ||||
\(285\) | −0.398461 | + | 2.17656i | −0.0236028 | + | 0.128929i | ||||
\(286\) | 2.57835 | − | 8.78104i | 0.152461 | − | 0.519234i | ||||
\(287\) | −27.7948 | − | 1.98792i | −1.64067 | − | 0.117343i | ||||
\(288\) | −0.997452 | − | 0.0713392i | −0.0587754 | − | 0.00420370i | ||||
\(289\) | −4.86141 | + | 16.5564i | −0.285965 | + | 0.973907i | ||||
\(290\) | −0.350588 | + | 1.91506i | −0.0205872 | + | 0.112456i | ||||
\(291\) | 1.35188 | − | 2.10357i | 0.0792488 | − | 0.123314i | ||||
\(292\) | 13.4197 | + | 7.32774i | 0.785331 | + | 0.428823i | ||||
\(293\) | −13.1016 | + | 9.80777i | −0.765406 | + | 0.572976i | −0.909066 | − | 0.416651i | \(-0.863204\pi\) |
0.143660 | + | 0.989627i | \(0.454113\pi\) | |||||||
\(294\) | −1.20594 | + | 0.550734i | −0.0703318 | + | 0.0321195i | ||||
\(295\) | 16.8975 | + | 7.05000i | 0.983812 | + | 0.410467i | ||||
\(296\) | 3.97291 | + | 6.18196i | 0.230920 | + | 0.359319i | ||||
\(297\) | 0.218023 | + | 3.04837i | 0.0126510 | + | 0.176884i | ||||
\(298\) | −11.8574 | − | 11.8574i | −0.686881 | − | 0.686881i | ||||
\(299\) | −10.1007 | + | 10.2089i | −0.584140 | + | 0.590396i | ||||
\(300\) | 1.43325 | − | 4.79018i | 0.0827486 | − | 0.276561i | ||||
\(301\) | 6.59860 | − | 7.61519i | 0.380337 | − | 0.438932i | ||||
\(302\) | 4.94314 | + | 1.07531i | 0.284446 | + | 0.0618774i | ||||
\(303\) | −4.22001 | − | 3.15906i | −0.242433 | − | 0.181483i | ||||
\(304\) | −0.411080 | − | 0.900141i | −0.0235771 | − | 0.0516266i | ||||
\(305\) | −18.6469 | − | 15.1057i | −1.06772 | − | 0.864948i | ||||
\(306\) | 1.64893 | + | 5.61573i | 0.0942629 | + | 0.321030i | ||||
\(307\) | 4.71162 | + | 21.6590i | 0.268906 | + | 1.23614i | 0.891291 | + | 0.453431i | \(0.149800\pi\) |
−0.622385 | + | 0.782711i | \(0.713836\pi\) | |||||||
\(308\) | −2.54409 | − | 6.82097i | −0.144963 | − | 0.388661i | ||||
\(309\) | 7.59412 | + | 2.22983i | 0.432014 | + | 0.126851i | ||||
\(310\) | −13.4174 | + | 19.2193i | −0.762057 | + | 1.09158i | ||||
\(311\) | 14.4431 | + | 16.6682i | 0.818991 | + | 0.945166i | 0.999260 | − | 0.0384513i | \(-0.0122424\pi\) |
−0.180269 | + | 0.983617i | \(0.557697\pi\) | |||||||
\(312\) | −1.43513 | − | 2.62824i | −0.0812481 | − | 0.148795i | ||||
\(313\) | −11.2323 | + | 4.18943i | −0.634887 | + | 0.236800i | −0.646239 | − | 0.763135i | \(-0.723659\pi\) |
0.0113524 | + | 0.999936i | \(0.496386\pi\) | |||||||
\(314\) | 5.61288 | + | 3.60718i | 0.316753 | + | 0.203565i | ||||
\(315\) | 2.70618 | + | 4.58779i | 0.152476 | + | 0.258493i | ||||
\(316\) | 16.5634 | + | 2.38146i | 0.931765 | + | 0.133968i | ||||
\(317\) | −5.00887 | + | 13.4293i | −0.281326 | + | 0.754265i | 0.717035 | + | 0.697037i | \(0.245499\pi\) |
−0.998361 | + | 0.0572276i | \(0.981774\pi\) | |||||||
\(318\) | 2.12434 | − | 2.83779i | 0.119127 | − | 0.159135i | ||||
\(319\) | −2.23851 | + | 1.43860i | −0.125332 | + | 0.0805461i | ||||
\(320\) | 0.700707 | + | 2.12344i | 0.0391707 | + | 0.118704i | ||||
\(321\) | 0.318321i | 0.0177669i | ||||||||
\(322\) | −1.56556 | + | 11.3162i | −0.0872452 | + | 0.630628i | ||||
\(323\) | −4.09538 | + | 4.09538i | −0.227873 | + | 0.227873i | ||||
\(324\) | 0.755750 | + | 0.654861i | 0.0419861 | + | 0.0363812i | ||||
\(325\) | 14.3876 | − | 4.14455i | 0.798081 | − | 0.229899i | ||||
\(326\) | 0.213382 | + | 1.48411i | 0.0118181 | + | 0.0821970i | ||||
\(327\) | 12.1725 | + | 4.54011i | 0.673141 | + | 0.251069i | ||||
\(328\) | 7.01043 | + | 9.36483i | 0.387086 | + | 0.517086i | ||||
\(329\) | 0.114231 | − | 0.0335412i | 0.00629774 | − | 0.00184918i | ||||
\(330\) | 6.11875 | − | 3.04323i | 0.336826 | − | 0.167524i | ||||
\(331\) | 9.97279 | − | 21.8374i | 0.548154 | − | 1.20029i | −0.409484 | − | 0.912317i | \(-0.634291\pi\) |
0.957639 | − | 0.287973i | \(-0.0929813\pi\) | |||||||
\(332\) | −4.96219 | + | 2.70956i | −0.272335 | + | 0.148706i | ||||
\(333\) | 0.524237 | − | 7.32979i | 0.0287280 | − | 0.401670i | ||||
\(334\) | 6.74610 | − | 5.84553i | 0.369130 | − | 0.319853i | ||||
\(335\) | 3.51096 | + | 0.134410i | 0.191824 | + | 0.00734359i | ||||
\(336\) | −2.16681 | − | 0.989548i | −0.118209 | − | 0.0539842i | ||||
\(337\) | −26.3865 | + | 5.74003i | −1.43736 | + | 0.312679i | −0.862702 | − | 0.505712i | \(-0.831230\pi\) |
−0.574661 | + | 0.818391i | \(0.694866\pi\) | |||||||
\(338\) | −1.93270 | + | 3.53948i | −0.105125 | + | 0.192522i | ||||
\(339\) | 2.28771 | − | 15.9113i | 0.124251 | − | 0.864186i | ||||
\(340\) | 10.2113 | − | 8.18571i | 0.553787 | − | 0.443932i | ||||
\(341\) | −31.7099 | + | 4.55920i | −1.71719 | + | 0.246894i | ||||
\(342\) | −0.210347 | + | 0.966951i | −0.0113743 | + | 0.0522867i | ||||
\(343\) | −19.7820 | + | 1.41483i | −1.06813 | + | 0.0763939i | ||||
\(344\) | −4.23008 | −0.228070 | ||||||||
\(345\) | −10.7180 | − | 0.353160i | −0.577037 | − | 0.0190135i | ||||
\(346\) | −6.77901 | −0.364442 | ||||||||
\(347\) | 9.56095 | − | 0.683812i | 0.513259 | − | 0.0367090i | 0.187692 | − | 0.982228i | \(-0.439899\pi\) |
0.325567 | + | 0.945519i | \(0.394445\pi\) | |||||||
\(348\) | −0.185075 | + | 0.850777i | −0.00992108 | + | 0.0456065i | ||||
\(349\) | 33.0329 | − | 4.74942i | 1.76821 | − | 0.254230i | 0.820112 | − | 0.572204i | \(-0.193911\pi\) |
0.948100 | + | 0.317973i | \(0.103002\pi\) | |||||||
\(350\) | 7.18641 | − | 9.49799i | 0.384130 | − | 0.507689i | ||||
\(351\) | −0.426167 | + | 2.96405i | −0.0227471 | + | 0.158209i | ||||
\(352\) | −1.46466 | + | 2.68232i | −0.0780666 | + | 0.142968i | ||||
\(353\) | 20.5420 | − | 4.46864i | 1.09334 | − | 0.237842i | 0.370483 | − | 0.928839i | \(-0.379192\pi\) |
0.722857 | + | 0.690998i | \(0.242829\pi\) | |||||||
\(354\) | 7.44820 | + | 3.40148i | 0.395867 | + | 0.180787i | ||||
\(355\) | 2.73083 | + | 2.94824i | 0.144938 | + | 0.156477i | ||||
\(356\) | 4.94871 | − | 4.28808i | 0.262281 | − | 0.227268i | ||||
\(357\) | −0.994597 | + | 13.9063i | −0.0526396 | + | 0.735998i | ||||
\(358\) | 2.04671 | − | 1.11759i | 0.108172 | − | 0.0590664i | ||||
\(359\) | 5.64290 | − | 12.3562i | 0.297821 | − | 0.652136i | −0.700272 | − | 0.713877i | \(-0.746938\pi\) |
0.998092 | + | 0.0617401i | \(0.0196650\pi\) | |||||||
\(360\) | 0.711587 | − | 2.11982i | 0.0375040 | − | 0.111724i | ||||
\(361\) | 17.2908 | − | 5.07703i | 0.910042 | − | 0.267212i | ||||
\(362\) | 12.0596 | + | 16.1098i | 0.633839 | + | 0.846710i | ||||
\(363\) | −1.55527 | − | 0.580085i | −0.0816303 | − | 0.0304465i | ||||
\(364\) | −1.01516 | − | 7.06058i | −0.0532088 | − | 0.370075i | ||||
\(365\) | −23.3615 | + | 24.9633i | −1.22280 | + | 1.30664i | ||||
\(366\) | −8.11077 | − | 7.02803i | −0.423957 | − | 0.367361i | ||||
\(367\) | 1.65343 | − | 1.65343i | 0.0863081 | − | 0.0863081i | −0.662635 | − | 0.748943i | \(-0.730562\pi\) |
0.748943 | + | 0.662635i | \(0.230562\pi\) | |||||||
\(368\) | 4.02064 | − | 2.61427i | 0.209591 | − | 0.136278i | ||||
\(369\) | − | 11.6981i | − | 0.608980i | ||||||
\(370\) | −15.6041 | + | 5.14915i | −0.811221 | + | 0.267692i | ||||
\(371\) | 7.10359 | − | 4.56520i | 0.368800 | − | 0.237013i | ||||
\(372\) | −6.28190 | + | 8.39164i | −0.325701 | + | 0.435086i | ||||
\(373\) | −0.802939 | + | 2.15276i | −0.0415746 | + | 0.111466i | −0.956078 | − | 0.293112i | \(-0.905309\pi\) |
0.914503 | + | 0.404578i | \(0.132582\pi\) | |||||||
\(374\) | 17.7050 | + | 2.54560i | 0.915505 | + | 0.131630i | ||||
\(375\) | 9.57108 | + | 5.77879i | 0.494248 | + | 0.298416i | ||||
\(376\) | −0.0420449 | − | 0.0270206i | −0.00216830 | − | 0.00139348i | ||||
\(377\) | −2.44288 | + | 0.911146i | −0.125815 | + | 0.0469264i | ||||
\(378\) | 1.14160 | + | 2.09069i | 0.0587178 | + | 0.107534i | ||||
\(379\) | 13.1910 | + | 15.2232i | 0.677575 | + | 0.781964i | 0.985542 | − | 0.169434i | \(-0.0541938\pi\) |
−0.307966 | + | 0.951397i | \(0.599648\pi\) | |||||||
\(380\) | 2.17858 | − | 0.387293i | 0.111759 | − | 0.0198677i | ||||
\(381\) | −2.20778 | − | 0.648262i | −0.113108 | − | 0.0332114i | ||||
\(382\) | −8.55127 | − | 22.9268i | −0.437521 | − | 1.17304i | ||||
\(383\) | 1.34612 | + | 6.18803i | 0.0687837 | + | 0.316194i | 0.998664 | − | 0.0516678i | \(-0.0164537\pi\) |
−0.929881 | + | 0.367861i | \(0.880090\pi\) | |||||||
\(384\) | 0.281733 | + | 0.959493i | 0.0143771 | + | 0.0489639i | ||||
\(385\) | 16.1896 | − | 1.69858i | 0.825101 | − | 0.0865679i | ||||
\(386\) | 6.51903 | + | 14.2747i | 0.331810 | + | 0.726562i | ||||
\(387\) | 3.38635 | + | 2.53499i | 0.172138 | + | 0.128861i | ||||
\(388\) | −2.44337 | − | 0.531524i | −0.124044 | − | 0.0269840i | ||||
\(389\) | −19.4911 | + | 22.4940i | −0.988240 | + | 1.14049i | 0.00184194 | + | 0.999998i | \(0.499414\pi\) |
−0.990082 | + | 0.140491i | \(0.955132\pi\) | |||||||
\(390\) | 6.49221 | − | 1.63932i | 0.328746 | − | 0.0830100i | ||||
\(391\) | −22.5597 | − | 16.7013i | −1.14089 | − | 0.844619i | ||||
\(392\) | 0.937442 | + | 0.937442i | 0.0473480 | + | 0.0473480i | ||||
\(393\) | 0.137956 | + | 1.92888i | 0.00695895 | + | 0.0972989i | ||||
\(394\) | −14.6990 | − | 22.8722i | −0.740527 | − | 1.15228i | ||||
\(395\) | −14.4078 | + | 34.5327i | −0.724933 | + | 1.73753i | ||||
\(396\) | 2.77998 | − | 1.26957i | 0.139699 | − | 0.0637984i | ||||
\(397\) | 3.18902 | − | 2.38727i | 0.160052 | − | 0.119814i | −0.516250 | − | 0.856438i | \(-0.672672\pi\) |
0.676302 | + | 0.736625i | \(0.263581\pi\) | |||||||
\(398\) | 11.4199 | + | 6.23571i | 0.572425 | + | 0.312568i | ||||
\(399\) | −1.27441 | + | 1.98301i | −0.0638001 | + | 0.0992749i | ||||
\(400\) | −4.98902 | + | 0.331114i | −0.249451 | + | 0.0165557i | ||||
\(401\) | 0.475169 | − | 1.61828i | 0.0237288 | − | 0.0808128i | −0.946777 | − | 0.321889i | \(-0.895682\pi\) |
0.970506 | + | 0.241076i | \(0.0775004\pi\) | |||||||
\(402\) | 1.56730 | + | 0.112095i | 0.0781696 | + | 0.00559080i | ||||
\(403\) | −31.3101 | − | 2.23934i | −1.55967 | − | 0.111550i | ||||
\(404\) | −1.48514 | + | 5.05791i | −0.0738883 | + | 0.251640i | ||||
\(405\) | −1.84002 | + | 1.27057i | −0.0914312 | + | 0.0631349i | ||||
\(406\) | −1.12129 | + | 1.74477i | −0.0556489 | + | 0.0865913i | ||||
\(407\) | −19.7111 | − | 10.7631i | −0.977042 | − | 0.533505i | ||||
\(408\) | 4.68542 | − | 3.50746i | 0.231963 | − | 0.173645i | ||||
\(409\) | −15.8686 | + | 7.24695i | −0.784652 | + | 0.358338i | −0.767116 | − | 0.641508i | \(-0.778309\pi\) |
−0.0175352 | + | 0.999846i | \(0.505582\pi\) | |||||||
\(410\) | −24.1922 | + | 9.94816i | −1.19477 | + | 0.491304i | ||||
\(411\) | 7.09596 | + | 11.0415i | 0.350018 | + | 0.544638i | ||||
\(412\) | −0.564630 | − | 7.89456i | −0.0278173 | − | 0.388937i | ||||
\(413\) | 13.7919 | + | 13.7919i | 0.678657 | + | 0.678657i | ||||
\(414\) | −4.78537 | − | 0.316649i | −0.235188 | − | 0.0155624i | ||||
\(415\) | −3.09508 | − | 12.2575i | −0.151931 | − | 0.601696i | ||||
\(416\) | −1.96100 | + | 2.26312i | −0.0961460 | + | 0.110958i | ||||
\(417\) | 15.0713 | + | 3.27856i | 0.738045 | + | 0.160552i | ||||
\(418\) | 2.42105 | + | 1.81237i | 0.118417 | + | 0.0886461i | ||||
\(419\) | −6.73249 | − | 14.7421i | −0.328903 | − | 0.720198i | 0.670868 | − | 0.741577i | \(-0.265922\pi\) |
−0.999771 | + | 0.0213786i | \(0.993194\pi\) | |||||||
\(420\) | 3.35282 | − | 4.13883i | 0.163601 | − | 0.201954i | ||||
\(421\) | 5.16776 | + | 17.5998i | 0.251861 | + | 0.857761i | 0.984236 | + | 0.176859i | \(0.0565937\pi\) |
−0.732375 | + | 0.680902i | \(0.761588\pi\) | |||||||
\(422\) | −5.43805 | − | 24.9983i | −0.264720 | − | 1.21690i | ||||
\(423\) | 0.0174658 | + | 0.0468277i | 0.000849218 | + | 0.00227684i | ||||
\(424\) | −3.40125 | − | 0.998696i | −0.165179 | − | 0.0485010i | ||||
\(425\) | 12.0200 | + | 26.6815i | 0.583058 | + | 1.29424i | ||||
\(426\) | 1.17691 | + | 1.35823i | 0.0570217 | + | 0.0658065i | ||||
\(427\) | −12.2518 | − | 22.4375i | −0.592906 | − | 1.08583i | ||||
\(428\) | 0.298251 | − | 0.111242i | 0.0144165 | − | 0.00537707i | ||||
\(429\) | 7.69894 | + | 4.94781i | 0.371709 | + | 0.238883i | ||||
\(430\) | 2.36270 | − | 9.15889i | 0.113940 | − | 0.441681i | ||||
\(431\) | 26.0053 | + | 3.73900i | 1.25263 | + | 0.180101i | 0.736517 | − | 0.676419i | \(-0.236469\pi\) |
0.516113 | + | 0.856520i | \(0.327378\pi\) | |||||||
\(432\) | 0.349464 | − | 0.936950i | 0.0168136 | − | 0.0450790i | ||||
\(433\) | −0.274142 | + | 0.366211i | −0.0131744 | + | 0.0175990i | −0.807080 | − | 0.590442i | \(-0.798953\pi\) |
0.793906 | + | 0.608041i | \(0.208044\pi\) | |||||||
\(434\) | −21.0060 | + | 13.4998i | −1.00832 | + | 0.648010i | ||||
\(435\) | −1.73872 | − | 0.875922i | −0.0833651 | − | 0.0419973i | ||||
\(436\) | − | 12.9916i | − | 0.622187i | ||||||
\(437\) | −1.99444 | − | 4.30636i | −0.0954068 | − | 0.206001i | ||||
\(438\) | −10.8117 | + | 10.8117i | −0.516603 | + | 0.516603i | ||||
\(439\) | −15.1838 | − | 13.1569i | −0.724686 | − | 0.627944i | 0.212344 | − | 0.977195i | \(-0.431890\pi\) |
−0.937029 | + | 0.349252i | \(0.886436\pi\) | |||||||
\(440\) | −4.98964 | − | 4.66946i | −0.237872 | − | 0.222608i | ||||
\(441\) | −0.188673 | − | 1.31225i | −0.00898443 | − | 0.0624881i | ||||
\(442\) | 16.4214 | + | 6.12486i | 0.781086 | + | 0.291330i | ||||
\(443\) | 15.6011 | + | 20.8407i | 0.741232 | + | 0.990169i | 0.999708 | + | 0.0241520i | \(0.00768856\pi\) |
−0.258477 | + | 0.966017i | \(0.583221\pi\) | |||||||
\(444\) | −7.05084 | + | 2.07031i | −0.334618 | + | 0.0982528i | ||||
\(445\) | 6.52039 | + | 13.1100i | 0.309096 | + | 0.621472i | ||||
\(446\) | 1.13254 | − | 2.47991i | 0.0536272 | − | 0.117427i | ||||
\(447\) | 14.7177 | − | 8.03648i | 0.696124 | − | 0.380112i | ||||
\(448\) | −0.169935 | + | 2.37600i | −0.00802867 | + | 0.112255i | ||||
\(449\) | −9.10205 | + | 7.88697i | −0.429552 | + | 0.372209i | −0.842636 | − | 0.538484i | \(-0.818997\pi\) |
0.413084 | + | 0.910693i | \(0.364452\pi\) | |||||||
\(450\) | 4.19235 | + | 2.72474i | 0.197629 | + | 0.128446i | ||||
\(451\) | −32.5205 | − | 14.8516i | −1.53133 | − | 0.699335i | ||||
\(452\) | −15.7076 | + | 3.41698i | −0.738824 | + | 0.160721i | ||||
\(453\) | −2.42440 | + | 4.43996i | −0.113908 | + | 0.208607i | ||||
\(454\) | −2.48847 | + | 17.3077i | −0.116790 | + | 0.812290i | ||||
\(455\) | 15.8545 | + | 1.74567i | 0.743269 | + | 0.0818382i | ||||
\(456\) | 0.979493 | − | 0.140830i | 0.0458690 | − | 0.00659496i | ||||
\(457\) | 3.82228 | − | 17.5707i | 0.178799 | − | 0.821925i | −0.797125 | − | 0.603814i | \(-0.793647\pi\) |
0.975924 | − | 0.218111i | \(-0.0699894\pi\) | |||||||
\(458\) | 7.45556 | − | 0.533232i | 0.348376 | − | 0.0249163i | ||||
\(459\) | −5.85281 | −0.273186 | ||||||||
\(460\) | 3.41466 | + | 10.1656i | 0.159209 | + | 0.473975i | ||||
\(461\) | −7.90378 | −0.368116 | −0.184058 | − | 0.982915i | \(-0.558923\pi\) | ||||
−0.184058 | + | 0.982915i | \(0.558923\pi\) | |||||||
\(462\) | 7.26142 | − | 0.519347i | 0.337832 | − | 0.0241622i | ||||
\(463\) | 8.87457 | − | 40.7957i | 0.412436 | − | 1.89594i | −0.0307845 | − | 0.999526i | \(-0.509801\pi\) |
0.443221 | − | 0.896413i | \(-0.353836\pi\) | |||||||
\(464\) | 0.861813 | − | 0.123910i | 0.0400087 | − | 0.00575238i | ||||
\(465\) | −14.6607 | − | 18.2886i | −0.679874 | − | 0.848114i | ||||
\(466\) | 1.75694 | − | 12.2198i | 0.0813885 | − | 0.566069i | ||||
\(467\) | 2.80422 | − | 5.13554i | 0.129764 | − | 0.237645i | −0.804717 | − | 0.593659i | \(-0.797683\pi\) |
0.934480 | + | 0.356014i | \(0.115865\pi\) | |||||||
\(468\) | 2.92610 | − | 0.636534i | 0.135259 | − | 0.0294238i | ||||
\(469\) | 3.40470 | + | 1.55488i | 0.157215 | + | 0.0717975i | ||||
\(470\) | 0.0819887 | − | 0.0759427i | 0.00378186 | − | 0.00350297i | ||||
\(471\) | −5.04240 | + | 4.36926i | −0.232341 | + | 0.201325i | ||||
\(472\) | 0.584136 | − | 8.16729i | 0.0268870 | − | 0.375930i | ||||
\(473\) | 11.3464 | − | 6.19562i | 0.521709 | − | 0.284875i | ||||
\(474\) | −6.95145 | + | 15.2215i | −0.319291 | + | 0.699149i | ||||
\(475\) | −0.378280 | + | 4.93335i | −0.0173567 | + | 0.226357i | ||||
\(476\) | 13.3771 | − | 3.92786i | 0.613137 | − | 0.180033i | ||||
\(477\) | 2.12434 | + | 2.83779i | 0.0972669 | + | 0.129933i | ||||
\(478\) | −8.74307 | − | 3.26100i | −0.399899 | − | 0.149154i | ||||
\(479\) | 5.57649 | + | 38.7854i | 0.254797 | + | 1.77215i | 0.568554 | + | 0.822646i | \(0.307503\pi\) |
−0.313758 | + | 0.949503i | \(0.601588\pi\) | |||||||
\(480\) | −2.23484 | + | 0.0740800i | −0.102006 | + | 0.00338127i | ||||
\(481\) | −16.6305 | − | 14.4104i | −0.758287 | − | 0.657060i | ||||
\(482\) | −18.0616 | + | 18.0616i | −0.822682 | + | 0.822682i | ||||
\(483\) | −10.4168 | − | 4.69029i | −0.473979 | − | 0.213416i | ||||
\(484\) | 1.65993i | 0.0754512i | ||||||||
\(485\) | 2.51559 | − | 4.99348i | 0.114227 | − | 0.226742i | ||||
\(486\) | −0.841254 | + | 0.540641i | −0.0381600 | + | 0.0245240i | ||||
\(487\) | −21.1283 | + | 28.2241i | −0.957416 | + | 1.27896i | 0.00288615 | + | 0.999996i | \(0.499081\pi\) |
−0.960302 | + | 0.278962i | \(0.910010\pi\) | |||||||
\(488\) | −3.75048 | + | 10.0554i | −0.169776 | + | 0.455188i | ||||
\(489\) | −1.48411 | − | 0.213382i | −0.0671136 | − | 0.00964948i | ||||
\(490\) | −2.55334 | + | 1.50613i | −0.115348 | + | 0.0680400i | ||||
\(491\) | 27.9911 | + | 17.9888i | 1.26322 | + | 0.811824i | 0.988722 | − | 0.149763i | \(-0.0478510\pi\) |
0.274501 | + | 0.961587i | \(0.411487\pi\) | |||||||
\(492\) | −10.9606 | + | 4.08808i | −0.494140 | + | 0.184305i | ||||
\(493\) | −2.44220 | − | 4.47256i | −0.109991 | − | 0.201434i | ||||
\(494\) | 1.94054 | + | 2.23950i | 0.0873090 | + | 0.100760i | ||||
\(495\) | 1.19611 | + | 6.72828i | 0.0537611 | + | 0.302414i | ||||
\(496\) | 10.0578 | + | 2.95325i | 0.451610 | + | 0.132605i | ||||
\(497\) | 1.49607 | + | 4.01113i | 0.0671081 | + | 0.179924i | ||||
\(498\) | −1.20179 | − | 5.52456i | −0.0538537 | − | 0.247561i | ||||
\(499\) | −3.04235 | − | 10.3613i | −0.136194 | − | 0.463834i | 0.862946 | − | 0.505296i | \(-0.168617\pi\) |
−0.999140 | + | 0.0414617i | \(0.986799\pi\) | |||||||
\(500\) | 2.06969 | − | 10.9871i | 0.0925592 | − | 0.491358i | ||||
\(501\) | 3.70815 | + | 8.11971i | 0.165668 | + | 0.362762i | ||||
\(502\) | 10.8733 | + | 8.13965i | 0.485299 | + | 0.363290i | ||||
\(503\) | 40.1978 | + | 8.74451i | 1.79233 | + | 0.389898i | 0.980895 | − | 0.194539i | \(-0.0623211\pi\) |
0.811439 | + | 0.584437i | \(0.198685\pi\) | |||||||
\(504\) | 1.55992 | − | 1.80025i | 0.0694845 | − | 0.0801894i | ||||
\(505\) | −10.1218 | − | 6.04068i | −0.450414 | − | 0.268807i | ||||
\(506\) | −6.95564 | + | 12.9012i | −0.309216 | + | 0.573528i | ||||
\(507\) | −2.85160 | − | 2.85160i | −0.126644 | − | 0.126644i | ||||
\(508\) | 0.164150 | + | 2.29512i | 0.00728299 | + | 0.101829i | ||||
\(509\) | 2.23246 | + | 3.47378i | 0.0989522 | + | 0.153973i | 0.887200 | − | 0.461386i | \(-0.152648\pi\) |
−0.788247 | + | 0.615358i | \(0.789011\pi\) | |||||||
\(510\) | 4.97726 | + | 12.1039i | 0.220397 | + | 0.535969i | ||||
\(511\) | −33.1306 | + | 15.1302i | −1.46561 | + | 0.669322i | ||||
\(512\) | 0.800541 | − | 0.599278i | 0.0353793 | − | 0.0264846i | ||||
\(513\) | −0.868521 | − | 0.474248i | −0.0383461 | − | 0.0209386i | ||||
\(514\) | −2.34235 | + | 3.64476i | −0.103317 | + | 0.160764i | ||||
\(515\) | 17.4085 | + | 3.18696i | 0.767112 | + | 0.140434i | ||||
\(516\) | 1.19175 | − | 4.05873i | 0.0524639 | − | 0.178676i | ||||
\(517\) | 0.152354 | + | 0.0108966i | 0.00670052 | + | 0.000479231i | ||||
\(518\) | −17.4601 | − | 1.24877i | −0.767151 | − | 0.0548677i | ||||
\(519\) | 1.90987 | − | 6.50441i | 0.0838339 | − | 0.285512i | ||||
\(520\) | −3.80475 | − | 5.50999i | −0.166849 | − | 0.241629i | ||||
\(521\) | 1.95337 | − | 3.03951i | 0.0855789 | − | 0.133163i | −0.795825 | − | 0.605527i | \(-0.792963\pi\) |
0.881404 | + | 0.472363i | \(0.156599\pi\) | |||||||
\(522\) | −0.764173 | − | 0.417270i | −0.0334470 | − | 0.0182634i | ||||
\(523\) | 3.29580 | − | 2.46720i | 0.144115 | − | 0.107883i | −0.524787 | − | 0.851233i | \(-0.675855\pi\) |
0.668903 | + | 0.743350i | \(0.266764\pi\) | |||||||
\(524\) | 1.75905 | − | 0.803331i | 0.0768444 | − | 0.0350937i | ||||
\(525\) | 7.08861 | + | 9.57121i | 0.309372 | + | 0.417722i | ||||
\(526\) | 0.607245 | + | 0.944892i | 0.0264771 | + | 0.0411992i | ||||
\(527\) | −4.37679 | − | 61.1955i | −0.190656 | − | 2.66572i | ||||
\(528\) | −2.16103 | − | 2.16103i | −0.0940466 | − | 0.0940466i | ||||
\(529\) | 19.2153 | − | 12.6401i | 0.835447 | − | 0.549571i | ||||
\(530\) | 4.06212 | − | 6.80651i | 0.176447 | − | 0.295656i | ||||
\(531\) | −5.36210 | + | 6.18819i | −0.232695 | + | 0.268545i | ||||
\(532\) | 2.30334 | + | 0.501062i | 0.0998627 | + | 0.0217238i | ||||
\(533\) | −28.0433 | − | 20.9930i | −1.21469 | − | 0.909306i | ||||
\(534\) | 2.72017 | + | 5.95634i | 0.117713 | + | 0.257756i | ||||
\(535\) | 0.0742715 | + | 0.707901i | 0.00321104 | + | 0.0306052i | ||||
\(536\) | −0.442686 | − | 1.50765i | −0.0191211 | − | 0.0651206i | ||||
\(537\) | 0.495693 | + | 2.27867i | 0.0213908 | + | 0.0983317i | ||||
\(538\) | −1.24991 | − | 3.35115i | −0.0538876 | − | 0.144478i | ||||
\(539\) | −3.88756 | − | 1.14149i | −0.167449 | − | 0.0491674i | ||||
\(540\) | 1.83348 | + | 1.27999i | 0.0789003 | + | 0.0550818i | ||||
\(541\) | −22.2650 | − | 25.6951i | −0.957246 | − | 1.10472i | −0.994429 | − | 0.105412i | \(-0.966384\pi\) |
0.0371827 | − | 0.999308i | \(-0.488162\pi\) | |||||||
\(542\) | −1.82722 | − | 3.34630i | −0.0784856 | − | 0.143736i | ||||
\(543\) | −18.8548 | + | 7.03247i | −0.809136 | + | 0.301792i | ||||
\(544\) | −4.92370 | − | 3.16427i | −0.211102 | − | 0.135667i | ||||
\(545\) | 28.1293 | + | 7.25645i | 1.20493 | + | 0.310832i | ||||
\(546\) | 7.06058 | + | 1.01516i | 0.302165 | + | 0.0434448i | ||||
\(547\) | −9.77465 | + | 26.2069i | −0.417934 | + | 1.12052i | 0.542020 | + | 0.840366i | \(0.317660\pi\) |
−0.959954 | + | 0.280159i | \(0.909613\pi\) | |||||||
\(548\) | 7.86557 | − | 10.5072i | 0.336001 | − | 0.448844i | ||||
\(549\) | 9.02841 | − | 5.80221i | 0.385323 | − | 0.247632i | ||||
\(550\) | 12.8972 | − | 8.19537i | 0.549938 | − | 0.349452i | ||||
\(551\) | − | 0.861590i | − | 0.0367050i | ||||||
\(552\) | 1.37563 | + | 4.59431i | 0.0585507 | + | 0.195547i | ||||
\(553\) | −28.1859 | + | 28.1859i | −1.19859 | + | 1.19859i | ||||
\(554\) | −15.2047 | − | 13.1750i | −0.645987 | − | 0.559751i | ||||
\(555\) | −0.544378 | − | 16.4228i | −0.0231075 | − | 0.697107i | ||||
\(556\) | −2.19503 | − | 15.2668i | −0.0930902 | − | 0.647457i | ||||
\(557\) | −8.27004 | − | 3.08456i | −0.350413 | − | 0.130697i | 0.168093 | − | 0.985771i | \(-0.446239\pi\) |
−0.518506 | + | 0.855074i | \(0.673512\pi\) | |||||||
\(558\) | −6.28190 | − | 8.39164i | −0.265934 | − | 0.355246i | ||||
\(559\) | 12.1540 | − | 3.56873i | 0.514059 | − | 0.150941i | ||||
\(560\) | −5.04956 | − | 1.69505i | −0.213383 | − | 0.0716290i | ||||
\(561\) | −7.43056 | + | 16.2707i | −0.313719 | + | 0.686948i | ||||
\(562\) | 21.2699 | − | 11.6143i | 0.897218 | − | 0.489918i | ||||
\(563\) | −0.797301 | + | 11.1477i | −0.0336022 | + | 0.469820i | 0.952595 | + | 0.304243i | \(0.0984034\pi\) |
−0.986197 | + | 0.165578i | \(0.947051\pi\) | |||||||
\(564\) | 0.0377715 | − | 0.0327292i | 0.00159047 | − | 0.00137815i | ||||
\(565\) | 1.37506 | − | 35.9184i | 0.0578492 | − | 1.51110i | ||||
\(566\) | −6.91112 | − | 3.15620i | −0.290496 | − | 0.132665i | ||||
\(567\) | −2.32763 | + | 0.506345i | −0.0977514 | + | 0.0212645i | ||||
\(568\) | 0.861305 | − | 1.57736i | 0.0361396 | − | 0.0661847i | ||||
\(569\) | −3.39980 | + | 23.6461i | −0.142527 | + | 0.991296i | 0.785521 | + | 0.618835i | \(0.212395\pi\) |
−0.928048 | + | 0.372461i | \(0.878514\pi\) | |||||||
\(570\) | −0.242171 | + | 2.19944i | −0.0101434 | + | 0.0921246i | ||||
\(571\) | −13.3304 | + | 1.91663i | −0.557861 | + | 0.0802083i | −0.415478 | − | 0.909603i | \(-0.636386\pi\) |
−0.142383 | + | 0.989812i | \(0.545477\pi\) | |||||||
\(572\) | 1.94535 | − | 8.94261i | 0.0813390 | − | 0.373909i | ||||
\(573\) | 24.4073 | − | 1.74565i | 1.01963 | − | 0.0729254i | ||||
\(574\) | −27.8658 | −1.16309 | ||||||||
\(575\) | −23.9177 | + | 1.71537i | −0.997438 | + | 0.0715360i | ||||
\(576\) | −1.00000 | −0.0416667 | ||||||||
\(577\) | 40.7905 | − | 2.91740i | 1.69813 | − | 0.121453i | 0.811628 | − | 0.584174i | \(-0.198581\pi\) |
0.886504 | + | 0.462721i | \(0.153127\pi\) | |||||||
\(578\) | −3.66790 | + | 16.8611i | −0.152564 | + | 0.701327i | ||||
\(579\) | −15.5331 | + | 2.23332i | −0.645533 | + | 0.0928136i | ||||
\(580\) | −0.213076 | + | 1.93519i | −0.00884750 | + | 0.0803545i | ||||
\(581\) | 1.91665 | − | 13.3306i | 0.0795159 | − | 0.553045i | ||||
\(582\) | 1.19837 | − | 2.19465i | 0.0496741 | − | 0.0909713i | ||||
\(583\) | 10.5860 | − | 2.30284i | 0.438427 | − | 0.0953739i | ||||
\(584\) | 13.9083 | + | 6.35171i | 0.575530 | + | 0.262836i | ||||
\(585\) | −0.256154 | + | 6.69108i | −0.0105907 | + | 0.276642i | ||||
\(586\) | −12.3686 | + | 10.7174i | −0.510941 | + | 0.442733i | ||||
\(587\) | 2.20793 | − | 30.8709i | 0.0911309 | − | 1.27418i | −0.721917 | − | 0.691980i | \(-0.756739\pi\) |
0.813048 | − | 0.582197i | \(-0.197807\pi\) | |||||||
\(588\) | −1.16358 | + | 0.635361i | −0.0479851 | + | 0.0262019i | ||||
\(589\) | 4.30913 | − | 9.43568i | 0.177555 | − | 0.388791i | ||||
\(590\) | 17.3574 | + | 5.82658i | 0.714593 | + | 0.239877i | ||||
\(591\) | 26.0869 | − | 7.65980i | 1.07307 | − | 0.315082i | ||||
\(592\) | 4.40380 | + | 5.88279i | 0.180995 | + | 0.241781i | ||||
\(593\) | −14.4883 | − | 5.40387i | −0.594965 | − | 0.221910i | 0.0338998 | − | 0.999425i | \(-0.489207\pi\) |
−0.628865 | + | 0.777515i | \(0.716480\pi\) | |||||||
\(594\) | 0.434936 | + | 3.02505i | 0.0178456 | + | 0.124119i | ||||
\(595\) | 1.03281 | + | 31.1577i | 0.0423410 | + | 1.27734i | ||||
\(596\) | −12.6731 | − | 10.9813i | −0.519110 | − | 0.449811i | ||||
\(597\) | −9.20047 | + | 9.20047i | −0.376550 | + | 0.376550i | ||||
\(598\) | −9.34670 | + | 10.9035i | −0.382215 | + | 0.445876i | ||||
\(599\) | − | 38.4324i | − | 1.57031i | −0.619302 | − | 0.785153i | \(-0.712584\pi\) | ||
0.619302 | − | 0.785153i | \(-0.287416\pi\) | |||||||
\(600\) | 1.08787 | − | 4.88022i | 0.0444121 | − | 0.199234i | ||||
\(601\) | 11.2250 | − | 7.21388i | 0.457878 | − | 0.294260i | −0.291297 | − | 0.956633i | \(-0.594087\pi\) |
0.749175 | + | 0.662372i | \(0.230450\pi\) | |||||||
\(602\) | 6.03852 | − | 8.06652i | 0.246112 | − | 0.328767i | ||||
\(603\) | −0.549113 | + | 1.47223i | −0.0223616 | + | 0.0599538i | ||||
\(604\) | 5.00726 | + | 0.719935i | 0.203742 | + | 0.0292937i | ||||
\(605\) | −3.59405 | − | 0.927148i | −0.146119 | − | 0.0376939i | ||||
\(606\) | −4.43462 | − | 2.84996i | −0.180144 | − | 0.115772i | ||||
\(607\) | −2.65244 | + | 0.989308i | −0.107659 | + | 0.0401548i | −0.402717 | − | 0.915325i | \(-0.631934\pi\) |
0.295057 | + | 0.955480i | \(0.404661\pi\) | |||||||
\(608\) | −0.474248 | − | 0.868521i | −0.0192333 | − | 0.0352232i | ||||
\(609\) | −1.35819 | − | 1.56743i | −0.0550365 | − | 0.0635155i | ||||
\(610\) | −19.6770 | − | 13.7369i | −0.796700 | − | 0.556192i | ||||
\(611\) | 0.143601 | + | 0.0421651i | 0.00580947 | + | 0.00170582i | ||||
\(612\) | 2.04535 | + | 5.48379i | 0.0826783 | + | 0.221669i | ||||
\(613\) | −6.56048 | − | 30.1580i | −0.264975 | − | 1.21807i | −0.896615 | − | 0.442810i | \(-0.853982\pi\) |
0.631640 | − | 0.775262i | \(-0.282382\pi\) | |||||||
\(614\) | 6.24475 | + | 21.2677i | 0.252018 | + | 0.858293i | ||||
\(615\) | −2.72944 | − | 26.0150i | −0.110062 | − | 1.04903i | ||||
\(616\) | −3.02421 | − | 6.62209i | −0.121849 | − | 0.266812i | ||||
\(617\) | 3.71589 | + | 2.78168i | 0.149596 | + | 0.111986i | 0.671454 | − | 0.741046i | \(-0.265670\pi\) |
−0.521858 | + | 0.853032i | \(0.674761\pi\) | |||||||
\(618\) | 7.73385 | + | 1.68240i | 0.311101 | + | 0.0676759i | ||||
\(619\) | 1.35712 | − | 1.56620i | 0.0545471 | − | 0.0629507i | −0.727820 | − | 0.685768i | \(-0.759467\pi\) |
0.782367 | + | 0.622817i | \(0.214012\pi\) | |||||||
\(620\) | −12.0121 | + | 20.1275i | −0.482418 | + | 0.808342i | ||||
\(621\) | 1.65202 | − | 4.50232i | 0.0662931 | − | 0.180672i | ||||
\(622\) | 15.5954 | + | 15.5954i | 0.625317 | + | 0.625317i | ||||
\(623\) | 1.11275 | + | 15.5582i | 0.0445813 | + | 0.623328i | ||||
\(624\) | −1.61897 | − | 2.51916i | −0.0648105 | − | 0.100847i | ||||
\(625\) | 22.6331 | + | 10.6181i | 0.905323 | + | 0.424723i | ||||
\(626\) | −10.9048 | + | 4.98006i | −0.435844 | + | 0.199043i | ||||
\(627\) | −2.42105 | + | 1.81237i | −0.0966874 | + | 0.0723793i | ||||
\(628\) | 5.85592 | + | 3.19757i | 0.233677 | + | 0.127597i | ||||
\(629\) | 23.2527 | − | 36.1818i | 0.927144 | − | 1.44266i | ||||
\(630\) | 3.02658 | + | 4.38305i | 0.120582 | + | 0.174625i | ||||
\(631\) | 7.47503 | − | 25.4576i | 0.297576 | − | 1.01345i | −0.665985 | − | 0.745965i | \(-0.731989\pi\) |
0.963561 | − | 0.267487i | \(-0.0861933\pi\) | |||||||
\(632\) | 16.6911 | + | 1.19377i | 0.663937 | + | 0.0474857i | ||||
\(633\) | 25.5178 | + | 1.82507i | 1.01424 | + | 0.0725399i | ||||
\(634\) | −4.03807 | + | 13.7524i | −0.160372 | + | 0.546178i | ||||
\(635\) | −5.06104 | − | 0.926519i | −0.200841 | − | 0.0367678i | ||||
\(636\) | 1.91648 | − | 2.98211i | 0.0759935 | − | 0.118248i | ||||
\(637\) | −3.48437 | − | 1.90261i | −0.138056 | − | 0.0753842i | ||||
\(638\) | −2.13017 | + | 1.59463i | −0.0843344 | + | 0.0631319i | ||||
\(639\) | −1.63479 | + | 0.746583i | −0.0646712 | + | 0.0295344i | ||||
\(640\) | 0.850406 | + | 2.06804i | 0.0336152 | + | 0.0817467i | ||||
\(641\) | 14.1565 | + | 22.0280i | 0.559150 | + | 0.870054i | 0.999616 | − | 0.0277154i | \(-0.00882322\pi\) |
−0.440466 | + | 0.897769i | \(0.645187\pi\) | |||||||
\(642\) | 0.0227087 | + | 0.317510i | 0.000896243 | + | 0.0125311i | ||||
\(643\) | −9.15728 | − | 9.15728i | −0.361128 | − | 0.361128i | 0.503100 | − | 0.864228i | \(-0.332193\pi\) |
−0.864228 | + | 0.503100i | \(0.832193\pi\) | |||||||
\(644\) | −0.754280 | + | 11.3991i | −0.0297228 | + | 0.449187i | ||||
\(645\) | 8.12224 | + | 4.84735i | 0.319813 | + | 0.190864i | ||||
\(646\) | −3.79278 | + | 4.37711i | −0.149225 | + | 0.172215i | ||||
\(647\) | 16.5974 | + | 3.61054i | 0.652511 | + | 0.141945i | 0.526622 | − | 0.850099i | \(-0.323458\pi\) |
0.125889 | + | 0.992044i | \(0.459822\pi\) | |||||||
\(648\) | 0.800541 | + | 0.599278i | 0.0314482 | + | 0.0235419i | ||||
\(649\) | 10.3954 | + | 22.7628i | 0.408057 | + | 0.893520i | ||||
\(650\) | 14.0553 | − | 5.16040i | 0.551294 | − | 0.202407i | ||||
\(651\) | −7.03484 | − | 23.9585i | −0.275717 | − | 0.939007i | ||||
\(652\) | 0.318713 | + | 1.46510i | 0.0124818 | + | 0.0573778i | ||||
\(653\) | −3.11045 | − | 8.33944i | −0.121721 | − | 0.326347i | 0.861771 | − | 0.507298i | \(-0.169355\pi\) |
−0.983492 | + | 0.180950i | \(0.942083\pi\) | |||||||
\(654\) | 12.4654 | + | 3.66017i | 0.487435 | + | 0.143124i | ||||
\(655\) | 0.756846 | + | 4.25736i | 0.0295724 | + | 0.166349i | ||||
\(656\) | 7.66064 | + | 8.84085i | 0.299098 | + | 0.345177i | ||||
\(657\) | −7.32774 | − | 13.4197i | −0.285882 | − | 0.523554i | ||||
\(658\) | 0.111547 | − | 0.0416048i | 0.00434855 | − | 0.00162192i | ||||
\(659\) | 31.7122 | + | 20.3802i | 1.23533 | + | 0.793898i | 0.984712 | − | 0.174188i | \(-0.0557300\pi\) |
0.250618 | + | 0.968086i | \(0.419366\pi\) | |||||||
\(660\) | 5.88606 | − | 3.47198i | 0.229115 | − | 0.135147i | ||||
\(661\) | 2.00630 | + | 0.288462i | 0.0780359 | + | 0.0112199i | 0.181222 | − | 0.983442i | \(-0.441995\pi\) |
−0.103186 | + | 0.994662i | \(0.532904\pi\) | |||||||
\(662\) | 8.38952 | − | 22.4932i | 0.326068 | − | 0.874222i | ||||
\(663\) | −10.5032 | + | 14.0306i | −0.407911 | + | 0.544905i | ||||
\(664\) | −4.75625 | + | 3.05665i | −0.184578 | + | 0.118621i | ||||
\(665\) | −2.37142 | + | 4.70730i | −0.0919597 | + | 0.182541i | ||||
\(666\) | − | 7.34851i | − | 0.284749i | ||||||
\(667\) | 4.12989 | − | 0.616255i | 0.159910 | − | 0.0238615i | ||||
\(668\) | 6.31190 | − | 6.31190i | 0.244215 | − | 0.244215i | ||||
\(669\) | 2.06039 | + | 1.78533i | 0.0796591 | + | 0.0690250i | ||||
\(670\) | 3.51160 | − | 0.116402i | 0.135665 | − | 0.00449700i | ||||
\(671\) | −4.66777 | − | 32.4651i | −0.180197 | − | 1.25330i | ||||
\(672\) | −2.23188 | − | 0.832448i | −0.0860966 | − | 0.0321124i | ||||
\(673\) | 9.21603 | + | 12.3112i | 0.355252 | + | 0.474561i | 0.942194 | − | 0.335068i | \(-0.108759\pi\) |
−0.586942 | + | 0.809629i | \(0.699668\pi\) | |||||||
\(674\) | −25.9098 | + | 7.60779i | −0.998007 | + | 0.293041i | ||||
\(675\) | −3.79549 | + | 3.25488i | −0.146088 | + | 0.125280i | ||||
\(676\) | −1.67527 | + | 3.66834i | −0.0644336 | + | 0.141090i | ||||
\(677\) | 41.6026 | − | 22.7167i | 1.59892 | − | 0.873074i | 0.601684 | − | 0.798735i | \(-0.294497\pi\) |
0.997233 | − | 0.0743399i | \(-0.0236850\pi\) | |||||||
\(678\) | 1.14678 | − | 16.0340i | 0.0440416 | − | 0.615782i | ||||
\(679\) | 4.50156 | − | 3.90062i | 0.172754 | − | 0.149692i | ||||
\(680\) | 9.60135 | − | 8.89332i | 0.368195 | − | 0.341043i | ||||
\(681\) | −15.9055 | − | 7.26381i | −0.609501 | − | 0.278350i | ||||
\(682\) | −31.3039 | + | 6.80974i | −1.19869 | + | 0.260758i | ||||
\(683\) | 12.5219 | − | 22.9321i | 0.479137 | − | 0.877474i | −0.520583 | − | 0.853811i | \(-0.674285\pi\) |
0.999720 | − | 0.0236627i | \(-0.00753278\pi\) | |||||||
\(684\) | −0.140830 | + | 0.979493i | −0.00538476 | + | 0.0374519i | ||||
\(685\) | 18.3567 | + | 22.8992i | 0.701372 | + | 0.874932i | ||||
\(686\) | −19.6306 | + | 2.82246i | −0.749501 | + | 0.107762i | ||||
\(687\) | −1.58884 | + | 7.30379i | −0.0606181 | + | 0.278657i | ||||
\(688\) | −4.21930 | + | 0.301770i | −0.160859 | + | 0.0115049i | ||||
\(689\) | 10.6151 | 0.404404 | ||||||||
\(690\) | −10.7159 | + | 0.412352i | −0.407946 | + | 0.0156980i | ||||
\(691\) | −12.7217 | −0.483956 | −0.241978 | − | 0.970282i | \(-0.577796\pi\) | ||||
−0.241978 | + | 0.970282i | \(0.577796\pi\) | |||||||
\(692\) | −6.76174 | + | 0.483609i | −0.257043 | + | 0.0183841i | ||||
\(693\) | −1.54747 | + | 7.11360i | −0.0587835 | + | 0.270223i | ||||
\(694\) | 9.48780 | − | 1.36414i | 0.360152 | − | 0.0517821i | ||||
\(695\) | 34.2815 | + | 3.77459i | 1.30037 | + | 0.143178i | ||||
\(696\) | −0.123910 | + | 0.861813i | −0.00469680 | + | 0.0326669i | ||||
\(697\) | 32.8127 | − | 60.0920i | 1.24287 | − | 2.27615i | ||||
\(698\) | 32.6099 | − | 7.09386i | 1.23430 | − | 0.268506i | ||||
\(699\) | 11.2298 | + | 5.12847i | 0.424749 | + | 0.193977i | ||||
\(700\) | 6.49052 | − | 9.98647i | 0.245319 | − | 0.377453i | ||||
\(701\) | −21.9835 | + | 19.0488i | −0.830304 | + | 0.719462i | −0.962359 | − | 0.271780i | \(-0.912388\pi\) |
0.132056 | + | 0.991242i | \(0.457842\pi\) | |||||||
\(702\) | −0.213628 | + | 2.98690i | −0.00806285 | + | 0.112733i | ||||
\(703\) | 6.38234 | − | 3.48502i | 0.240714 | − | 0.131440i | ||||
\(704\) | −1.26957 | + | 2.77998i | −0.0478488 | + | 0.104774i | ||||
\(705\) | 0.0497676 | + | 0.100063i | 0.00187435 | + | 0.00376860i | ||||
\(706\) | 20.1709 | − | 5.92270i | 0.759140 | − | 0.222904i | ||||
\(707\) | −7.52509 | − | 10.0523i | −0.283010 | − | 0.378057i | ||||
\(708\) | 7.67188 | + | 2.86146i | 0.288327 | + | 0.107540i | ||||
\(709\) | 2.11887 | + | 14.7370i | 0.0795757 | + | 0.553461i | 0.990139 | + | 0.140091i | \(0.0447394\pi\) |
−0.910563 | + | 0.413370i | \(0.864351\pi\) | |||||||
\(710\) | 2.93420 | + | 2.74592i | 0.110119 | + | 0.103052i | ||||
\(711\) | −12.6465 | − | 10.9583i | −0.474282 | − | 0.410967i | ||||
\(712\) | 4.63019 | − | 4.63019i | 0.173524 | − | 0.173524i | ||||
\(713\) | 48.3105 | + | 13.9062i | 1.80924 | + | 0.520791i | ||||
\(714\) | 13.9418i | 0.521759i | ||||||||
\(715\) | 18.2758 | + | 9.20691i | 0.683477 | + | 0.344319i | ||||
\(716\) | 1.96177 | − | 1.26075i | 0.0733147 | − | 0.0471165i | ||||
\(717\) | 5.59211 | − | 7.47018i | 0.208841 | − | 0.278979i | ||||
\(718\) | 4.74704 | − | 12.7273i | 0.177158 | − | 0.474979i | ||||
\(719\) | −27.9988 | − | 4.02562i | −1.04418 | − | 0.150130i | −0.401182 | − | 0.915999i | \(-0.631400\pi\) |
−0.642997 | + | 0.765868i | \(0.722309\pi\) | |||||||
\(720\) | 0.558548 | − | 2.16518i | 0.0208159 | − | 0.0806917i | ||||
\(721\) | 15.8605 | + | 10.1929i | 0.590676 | + | 0.379604i | ||||
\(722\) | 16.8845 | − | 6.29761i | 0.628378 | − | 0.234373i | ||||
\(723\) | −12.2414 | − | 22.4185i | −0.455263 | − | 0.833752i | ||||
\(724\) | 13.1781 | + | 15.2084i | 0.489762 | + | 0.565215i | ||||
\(725\) | −4.07104 | − | 1.54225i | −0.151195 | − | 0.0572776i | ||||
\(726\) | −1.59269 | − | 0.467655i | −0.0591102 | − | 0.0173563i | ||||
\(727\) | −6.33943 | − | 16.9967i | −0.235116 | − | 0.630372i | 0.764787 | − | 0.644284i | \(-0.222844\pi\) |
−0.999903 | + | 0.0139118i | \(0.995572\pi\) | |||||||
\(728\) | −1.51627 | − | 6.97017i | −0.0561966 | − | 0.258332i | ||||
\(729\) | −0.281733 | − | 0.959493i | −0.0104345 | − | 0.0355368i | ||||
\(730\) | −21.5211 | + | 26.5663i | −0.796531 | + | 0.983264i | ||||
\(731\) | 10.2848 | + | 22.5205i | 0.380396 | + | 0.832951i | ||||
\(732\) | −8.59148 | − | 6.43150i | −0.317550 | − | 0.237715i | ||||
\(733\) | 15.0758 | + | 3.27953i | 0.556836 | + | 0.121132i | 0.482172 | − | 0.876076i | \(-0.339848\pi\) |
0.0746640 | + | 0.997209i | \(0.476212\pi\) | |||||||
\(734\) | 1.53126 | − | 1.76717i | 0.0565198 | − | 0.0652273i | ||||
\(735\) | −0.725761 | − | 2.87424i | −0.0267701 | − | 0.106018i | ||||
\(736\) | 3.82390 | − | 2.89444i | 0.140951 | − | 0.106691i | ||||
\(737\) | 3.39562 | + | 3.39562i | 0.125079 | + | 0.125079i | ||||
\(738\) | −0.834535 | − | 11.6683i | −0.0307196 | − | 0.429517i | ||||
\(739\) | 11.6563 | + | 18.1376i | 0.428785 | + | 0.667203i | 0.986673 | − | 0.162713i | \(-0.0520245\pi\) |
−0.557888 | + | 0.829916i | \(0.688388\pi\) | |||||||
\(740\) | −15.1971 | + | 6.24922i | −0.558655 | + | 0.229726i | ||||
\(741\) | −2.69550 | + | 1.23099i | −0.0990217 | + | 0.0452217i | ||||
\(742\) | 6.75981 | − | 5.06033i | 0.248160 | − | 0.185771i | ||||
\(743\) | −1.80691 | − | 0.986645i | −0.0662890 | − | 0.0361965i | 0.445763 | − | 0.895151i | \(-0.352933\pi\) |
−0.512052 | + | 0.858955i | \(0.671114\pi\) | |||||||
\(744\) | −5.66724 | + | 8.81840i | −0.207771 | + | 0.323298i | ||||
\(745\) | 30.8550 | − | 21.3060i | 1.13044 | − | 0.780591i | ||||
\(746\) | −0.647317 | + | 2.20456i | −0.0236999 | + | 0.0807146i | ||||
\(747\) | 5.63936 | + | 0.403335i | 0.206333 | + | 0.0147572i | ||||
\(748\) | 17.8415 | + | 1.27605i | 0.652350 | + | 0.0466570i | ||||
\(749\) | −0.213627 | + | 0.727547i | −0.00780577 | + | 0.0265840i | ||||
\(750\) | 9.95895 | + | 5.08127i | 0.363649 | + | 0.185542i | ||||
\(751\) | 15.7964 | − | 24.5796i | 0.576417 | − | 0.896922i | −0.423543 | − | 0.905876i | \(-0.639214\pi\) |
0.999960 | + | 0.00895363i | \(0.00285007\pi\) | |||||||
\(752\) | −0.0438654 | − | 0.0239523i | −0.00159961 | − | 0.000873451i | ||||
\(753\) | −10.8733 | + | 8.13965i | −0.396245 | + | 0.296625i | ||||
\(754\) | −2.37165 | + | 1.08310i | −0.0863705 | + | 0.0394441i | ||||
\(755\) | −4.35559 | + | 10.4395i | −0.158516 | + | 0.379933i | ||||
\(756\) | 1.28784 | + | 2.00392i | 0.0468384 | + | 0.0728820i | ||||
\(757\) | −2.97478 | − | 41.5928i | −0.108120 | − | 1.51172i | −0.704897 | − | 0.709310i | \(-0.749007\pi\) |
0.596777 | − | 0.802407i | \(-0.296448\pi\) | |||||||
\(758\) | 14.2434 | + | 14.2434i | 0.517343 | + | 0.517343i | ||||
\(759\) | −10.4190 | − | 10.3086i | −0.378185 | − | 0.374178i | ||||
\(760\) | 2.14540 | − | 0.541724i | 0.0778218 | − | 0.0196504i | ||||
\(761\) | 20.3856 | − | 23.5262i | 0.738977 | − | 0.852825i | −0.254474 | − | 0.967080i | \(-0.581902\pi\) |
0.993452 | + | 0.114254i | \(0.0364479\pi\) | |||||||
\(762\) | −2.24840 | − | 0.489109i | −0.0814509 | − | 0.0177185i | ||||
\(763\) | 24.7743 | + | 18.5458i | 0.896891 | + | 0.671404i | ||||
\(764\) | −10.1651 | − | 22.2584i | −0.367759 | − | 0.805280i | ||||
\(765\) | −13.0158 | + | 1.36559i | −0.470589 | + | 0.0493732i | ||||
\(766\) | 1.78414 | + | 6.07623i | 0.0644637 | + | 0.219543i | ||||
\(767\) | 5.21203 | + | 23.9593i | 0.188196 | + | 0.865121i | ||||
\(768\) | 0.349464 | + | 0.936950i | 0.0126102 | + | 0.0338093i | ||||
\(769\) | −44.0075 | − | 12.9218i | −1.58695 | − | 0.465971i | −0.635074 | − | 0.772452i | \(-0.719030\pi\) |
−0.951877 | + | 0.306481i | \(0.900848\pi\) | |||||||
\(770\) | 16.0272 | − | 2.84921i | 0.577581 | − | 0.102678i | ||||
\(771\) | −2.83721 | − | 3.27432i | −0.102180 | − | 0.117922i | ||||
\(772\) | 7.52077 | + | 13.7733i | 0.270678 | + | 0.495710i | ||||
\(773\) | 34.3851 | − | 12.8250i | 1.23675 | − | 0.461282i | 0.355828 | − | 0.934551i | \(-0.384199\pi\) |
0.880918 | + | 0.473269i | \(0.156926\pi\) | |||||||
\(774\) | 3.55857 | + | 2.28695i | 0.127910 | + | 0.0822028i | ||||
\(775\) | −36.8705 | − | 37.2507i | −1.32443 | − | 1.33808i | ||||
\(776\) | −2.47507 | − | 0.355861i | −0.0888498 | − | 0.0127747i | ||||
\(777\) | 6.11725 | − | 16.4010i | 0.219455 | − | 0.588382i | ||||
\(778\) | −17.8368 | + | 23.8271i | −0.639479 | + | 0.854244i | ||||
\(779\) | 9.73840 | − | 6.25849i | 0.348915 | − | 0.224234i | ||||
\(780\) | 6.35872 | − | 2.09829i | 0.227679 | − | 0.0751308i | ||||
\(781\) | 5.49251i | 0.196538i | ||||||||
\(782\) | −23.6937 | − | 15.0493i | −0.847285 | − | 0.538163i | ||||
\(783\) | 0.615660 | − | 0.615660i | 0.0220019 | − | 0.0220019i | ||||
\(784\) | 1.00193 | + | 0.868178i | 0.0357832 | + | 0.0310063i | ||||
\(785\) | −10.1941 | + | 10.8931i | −0.363845 | + | 0.388793i | ||||
\(786\) | 0.275209 | + | 1.91412i | 0.00981637 | + | 0.0682744i | ||||
\(787\) | 2.16690 | + | 0.808211i | 0.0772415 | + | 0.0288096i | 0.387788 | − | 0.921749i | \(-0.373239\pi\) |
−0.310546 | + | 0.950558i | \(0.600512\pi\) | |||||||
\(788\) | −16.2933 | − | 21.7653i | −0.580424 | − | 0.775356i | ||||
\(789\) | −1.07770 | + | 0.316441i | −0.0383671 | + | 0.0112656i | ||||
\(790\) | −11.9075 | + | 35.4726i | −0.423651 | + | 1.26206i | ||||
\(791\) | 15.9069 | − | 34.8314i | 0.565586 | − | 1.23846i | ||||
\(792\) | 2.68232 | − | 1.46466i | 0.0953122 | − | 0.0520444i | ||||
\(793\) | 2.29267 | − | 32.0557i | 0.0814151 | − | 1.13833i | ||||
\(794\) | 3.01059 | − | 2.60869i | 0.106842 | − | 0.0925788i | ||||
\(795\) | 5.38636 | + | 5.81519i | 0.191035 | + | 0.206244i | ||||
\(796\) | 11.8356 | + | 5.40514i | 0.419502 | + | 0.191580i | ||||
\(797\) | −3.23954 | + | 0.704718i | −0.114750 | + | 0.0249624i | −0.269574 | − | 0.962980i | \(-0.586883\pi\) |
0.154823 | + | 0.987942i | \(0.450519\pi\) | |||||||
\(798\) | −1.12969 | + | 2.06888i | −0.0399907 | + | 0.0732375i | ||||
\(799\) | −0.0416295 | + | 0.289539i | −0.00147275 | + | 0.0102432i | ||||
\(800\) | −4.95269 | + | 0.686183i | −0.175104 | + | 0.0242602i | ||||
\(801\) | −6.48143 | + | 0.931889i | −0.229010 | + | 0.0329267i | ||||
\(802\) | 0.358511 | − | 1.64805i | 0.0126595 | − | 0.0581947i | ||||
\(803\) | −46.6096 | + | 3.33359i | −1.64482 | + | 0.117640i | ||||
\(804\) | 1.57130 | 0.0554155 | ||||||||
\(805\) | −24.2598 | − | 8.00009i | −0.855046 | − | 0.281966i | ||||
\(806\) | −31.3901 | −1.10567 | ||||||||
\(807\) | 3.56754 | − | 0.255156i | 0.125583 | − | 0.00898190i | ||||
\(808\) | −1.12053 | + | 5.15097i | −0.0394199 | + | 0.181211i | ||||
\(809\) | −48.1040 | + | 6.91631i | −1.69125 | + | 0.243165i | −0.919592 | − | 0.392876i | \(-0.871480\pi\) |
−0.771656 | + | 0.636040i | \(0.780571\pi\) | |||||||
\(810\) | −1.74469 | + | 1.39859i | −0.0613021 | + | 0.0491416i | ||||
\(811\) | −3.62846 | + | 25.2365i | −0.127412 | + | 0.886173i | 0.821405 | + | 0.570346i | \(0.193191\pi\) |
−0.948817 | + | 0.315827i | \(0.897718\pi\) | |||||||
\(812\) | −0.993967 | + | 1.82031i | −0.0348814 | + | 0.0638805i | ||||
\(813\) | 3.72553 | − | 0.810440i | 0.130660 | − | 0.0284234i | ||||
\(814\) | −20.4287 | − | 9.32946i | −0.716025 | − | 0.326998i | ||||
\(815\) | −3.35023 | − | 0.128257i | −0.117354 | − | 0.00449263i | ||||
\(816\) | 4.42326 | − | 3.83278i | 0.154845 | − | 0.134174i | ||||
\(817\) | −0.298621 | + | 4.17527i | −0.0104474 | + | 0.146074i | ||||
\(818\) | −15.3112 | + | 8.36053i | −0.535343 | + | 0.292319i | ||||
\(819\) | −2.96323 | + | 6.48858i | −0.103544 | + | 0.226729i | ||||
\(820\) | −23.4209 | + | 11.6487i | −0.817894 | + | 0.406789i | ||||
\(821\) | −21.2118 | + | 6.22835i | −0.740297 | + | 0.217371i | −0.630073 | − | 0.776536i | \(-0.716975\pi\) |
−0.110224 | + | 0.993907i | \(0.535157\pi\) | |||||||
\(822\) | 7.86557 | + | 10.5072i | 0.274343 | + | 0.366480i | ||||
\(823\) | 27.2892 | + | 10.1783i | 0.951241 | + | 0.354795i | 0.776711 | − | 0.629857i | \(-0.216887\pi\) |
0.174530 | + | 0.984652i | \(0.444159\pi\) | |||||||
\(824\) | −1.12638 | − | 7.83416i | −0.0392394 | − | 0.272916i | ||||
\(825\) | 4.22984 | + | 14.6837i | 0.147264 | + | 0.511220i | ||||
\(826\) | 14.7407 | + | 12.7729i | 0.512895 | + | 0.444426i | ||||
\(827\) | −7.76695 | + | 7.76695i | −0.270083 | + | 0.270083i | −0.829134 | − | 0.559050i | \(-0.811166\pi\) |
0.559050 | + | 0.829134i | \(0.311166\pi\) | |||||||
\(828\) | −4.79576 | + | 0.0255419i | −0.166664 | + | 0.000887644i | ||||
\(829\) | 2.87165i | 0.0997365i | 0.998756 | + | 0.0498683i | \(0.0158801\pi\) | ||||
−0.998756 | + | 0.0498683i | \(0.984120\pi\) | |||||||
\(830\) | −3.96163 | − | 12.0054i | −0.137510 | − | 0.416715i | ||||
\(831\) | 16.9250 | − | 10.8770i | 0.587120 | − | 0.377319i | ||||
\(832\) | −1.79456 | + | 2.39725i | −0.0622151 | + | 0.0831096i | ||||
\(833\) | 2.71161 | − | 7.27010i | 0.0939516 | − | 0.251894i | ||||
\(834\) | 15.2668 | + | 2.19503i | 0.528646 | + | 0.0760078i | ||||
\(835\) | 10.1409 | + | 17.1919i | 0.350941 | + | 0.594951i | ||||
\(836\) | 2.54417 | + | 1.63504i | 0.0879921 | + | 0.0565491i | ||||
\(837\) | 9.82153 | − | 3.66324i | 0.339482 | − | 0.126620i | ||||
\(838\) | −7.76702 | − | 14.2242i | −0.268307 | − | 0.491368i | ||||
\(839\) | −7.09333 | − | 8.18614i | −0.244889 | − | 0.282617i | 0.619977 | − | 0.784620i | \(-0.287142\pi\) |
−0.864866 | + | 0.502003i | \(0.832597\pi\) | |||||||
\(840\) | 3.04902 | − | 4.36747i | 0.105201 | − | 0.150692i | ||||
\(841\) | −27.0979 | − | 7.95667i | −0.934411 | − | 0.274368i | ||||
\(842\) | 6.41015 | + | 17.1863i | 0.220908 | + | 0.592278i | ||||
\(843\) | 5.15137 | + | 23.6805i | 0.177423 | + | 0.815599i | ||||
\(844\) | −7.20755 | − | 24.5467i | −0.248094 | − | 0.844931i | ||||
\(845\) | −7.00691 | − | 5.67622i | −0.241045 | − | 0.195268i | ||||
\(846\) | 0.0207620 | + | 0.0454624i | 0.000713811 | + | 0.00156303i | ||||
\(847\) | −3.16539 | − | 2.36958i | −0.108764 | − | 0.0814197i | ||||
\(848\) | −3.46383 | − | 0.753509i | −0.118948 | − | 0.0258756i | ||||
\(849\) | 4.97544 | − | 5.74196i | 0.170757 | − | 0.197064i | ||||
\(850\) | 13.8929 | + | 25.7560i | 0.476521 | + | 0.883425i | ||||
\(851\) | 21.2698 | + | 28.1000i | 0.729121 | + | 0.963255i | ||||
\(852\) | 1.27081 | + | 1.27081i | 0.0435372 | + | 0.0435372i | ||||
\(853\) | −1.06706 | − | 14.9195i | −0.0365355 | − | 0.510832i | −0.982463 | − | 0.186456i | \(-0.940300\pi\) |
0.945928 | − | 0.324377i | \(-0.105155\pi\) | |||||||
\(854\) | −13.8213 | − | 21.5063i | −0.472954 | − | 0.735931i | ||||
\(855\) | −2.04212 | − | 0.852017i | −0.0698391 | − | 0.0291384i | ||||
\(856\) | 0.289555 | − | 0.132235i | 0.00989678 | − | 0.00451971i | ||||
\(857\) | 23.7717 | − | 17.7953i | 0.812026 | − | 0.607875i | −0.110471 | − | 0.993879i | \(-0.535236\pi\) |
0.922497 | + | 0.386004i | \(0.126145\pi\) | |||||||
\(858\) | 8.03230 | + | 4.38597i | 0.274218 | + | 0.149734i | ||||
\(859\) | −24.2957 | + | 37.8048i | −0.828957 | + | 1.28988i | 0.125668 | + | 0.992072i | \(0.459893\pi\) |
−0.954625 | + | 0.297810i | \(0.903744\pi\) | |||||||
\(860\) | 1.70329 | − | 9.30411i | 0.0580818 | − | 0.317268i | ||||
\(861\) | 7.85069 | − | 26.7370i | 0.267551 | − | 0.911194i | ||||
\(862\) | 26.2058 | + | 1.87427i | 0.892572 | + | 0.0638380i | ||||
\(863\) | −23.7751 | − | 1.70043i | −0.809313 | − | 0.0578832i | −0.339452 | − | 0.940624i | \(-0.610241\pi\) |
−0.469861 | + | 0.882740i | \(0.655696\pi\) | |||||||
\(864\) | 0.281733 | − | 0.959493i | 0.00958474 | − | 0.0326426i | ||||
\(865\) | 2.72965 | − | 14.9105i | 0.0928110 | − | 0.506973i | ||||
\(866\) | −0.247318 | + | 0.384835i | −0.00840421 | + | 0.0130772i | ||||
\(867\) | −15.1447 | − | 8.26963i | −0.514341 | − | 0.280851i | ||||
\(868\) | −19.9895 | + | 14.9639i | −0.678487 | + | 0.507909i | ||||
\(869\) | −46.5194 | + | 21.2447i | −1.57806 | + | 0.720677i | ||||
\(870\) | −1.79677 | − | 0.749652i | −0.0609163 | − | 0.0254156i | ||||
\(871\) | 2.54388 | + | 3.95836i | 0.0861962 | + | 0.134124i | ||||
\(872\) | −0.926813 | − | 12.9585i | −0.0313858 | − | 0.438831i | ||||
\(873\) | 1.76813 | + | 1.76813i | 0.0598423 | + | 0.0598423i | ||||
\(874\) | −2.29657 | − | 4.15311i | −0.0776825 | − | 0.140481i | ||||
\(875\) | 17.9973 | + | 19.6311i | 0.608419 | + | 0.663652i | ||||
\(876\) | −10.0128 | + | 11.5554i | −0.338303 | + | 0.390422i | ||||
\(877\) | −16.0623 | − | 3.49415i | −0.542387 | − | 0.117989i | −0.0669787 | − | 0.997754i | \(-0.521336\pi\) |
−0.475408 | + | 0.879765i | \(0.657700\pi\) | |||||||
\(878\) | −16.0838 | − | 12.0402i | −0.542801 | − | 0.406335i | ||||
\(879\) | −6.79867 | − | 14.8870i | −0.229314 | − | 0.502127i | ||||
\(880\) | −5.31004 | − | 4.30161i | −0.179001 | − | 0.145007i | ||||
\(881\) | −10.4790 | − | 35.6881i | −0.353045 | − | 1.20236i | −0.924325 | − | 0.381606i | \(-0.875371\pi\) |
0.571280 | − | 0.820756i | \(-0.306447\pi\) | |||||||
\(882\) | −0.281807 | − | 1.29545i | −0.00948894 | − | 0.0436199i | ||||
\(883\) | −2.13711 | − | 5.72983i | −0.0719196 | − | 0.192824i | 0.896016 | − | 0.444021i | \(-0.146448\pi\) |
−0.967936 | + | 0.251197i | \(0.919176\pi\) | |||||||
\(884\) | 16.8165 | + | 4.93777i | 0.565600 | + | 0.166075i | ||||
\(885\) | −10.4807 | + | 15.0128i | −0.352305 | + | 0.504649i | ||||
\(886\) | 17.0481 | + | 19.6746i | 0.572743 | + | 0.660981i | ||||
\(887\) | 13.9559 | + | 25.5584i | 0.468595 | + | 0.858167i | 0.999939 | + | 0.0110112i | \(0.00350504\pi\) |
−0.531345 | + | 0.847156i | \(0.678313\pi\) | |||||||
\(888\) | −6.88519 | + | 2.56804i | −0.231052 | + | 0.0861778i | ||||
\(889\) | −4.61099 | − | 2.96331i | −0.154648 | − | 0.0993861i | ||||
\(890\) | 7.43903 | + | 12.6114i | 0.249357 | + | 0.422735i | ||||
\(891\) | −3.02505 | − | 0.434936i | −0.101343 | − | 0.0145709i | ||||
\(892\) | 0.952738 | − | 2.55439i | 0.0319000 | − | 0.0855273i | ||||
\(893\) | −0.0296387 | + | 0.0395927i | −0.000991821 | + | 0.00132492i | ||||
\(894\) | 14.1069 | − | 9.06595i | 0.471805 | − | 0.303211i | ||||
\(895\) | 1.63402 | + | 4.95178i | 0.0546192 | + | 0.165520i | ||||
\(896\) | 2.38207i | 0.0795794i | ||||||||
\(897\) | −7.82853 | − | 12.0400i | −0.261387 | − | 0.402002i | ||||
\(898\) | −8.51621 | + | 8.51621i | −0.284189 | + | 0.284189i | ||||
\(899\) | 6.89758 | + | 5.97679i | 0.230047 | + | 0.199337i | ||||
\(900\) | 4.37605 | + | 2.41872i | 0.145868 | + | 0.0806240i | ||||
\(901\) | 2.95264 | + | 20.5361i | 0.0983668 | + | 0.684156i | ||||
\(902\) | −33.4971 | − | 12.4938i | −1.11533 | − | 0.415998i | ||||
\(903\) | 6.03852 | + | 8.06652i | 0.200949 | + | 0.268437i | ||||
\(904\) | −15.4238 | + | 4.52884i | −0.512989 | + | 0.150627i | ||||
\(905\) | −40.2896 | + | 20.0385i | −1.33927 | + | 0.666102i | ||||
\(906\) | −2.10148 | + | 4.60160i | −0.0698170 | + | 0.152878i | ||||
\(907\) | 27.3566 | − | 14.9378i | 0.908361 | − | 0.496002i | 0.0440889 | − | 0.999028i | \(-0.485962\pi\) |
0.864272 | + | 0.503025i | \(0.167780\pi\) | |||||||
\(908\) | −1.24741 | + | 17.4411i | −0.0413969 | + | 0.578804i | ||||
\(909\) | 3.98389 | − | 3.45206i | 0.132137 | − | 0.114498i | ||||
\(910\) | 15.9386 | + | 0.610176i | 0.528360 | + | 0.0202271i | ||||
\(911\) | −27.4247 | − | 12.5245i | −0.908622 | − | 0.414954i | −0.0944177 | − | 0.995533i | \(-0.530099\pi\) |
−0.814204 | + | 0.580579i | \(0.802826\pi\) | |||||||
\(912\) | 0.966951 | − | 0.210347i | 0.0320189 | − | 0.00696530i | ||||
\(913\) | 8.28083 | − | 15.1652i | 0.274055 | − | 0.501895i | ||||
\(914\) | 2.55906 | − | 17.7987i | 0.0846462 | − | 0.588727i | ||||
\(915\) | 18.7241 | − | 15.0098i | 0.619001 | − | 0.496210i | ||||
\(916\) | 7.39853 | − | 1.06375i | 0.244454 | − | 0.0351472i | ||||
\(917\) | −0.979172 | + | 4.50118i | −0.0323351 | + | 0.148642i | ||||
\(918\) | −5.83790 | + | 0.417535i | −0.192679 | + | 0.0137807i | ||||
\(919\) | 2.56840 | 0.0847237 | 0.0423619 | − | 0.999102i | \(-0.486512\pi\) | ||||
0.0423619 | + | 0.999102i | \(0.486512\pi\) | |||||||
\(920\) | 4.13117 | + | 9.89613i | 0.136201 | + | 0.326266i | ||||
\(921\) | −22.1655 | −0.730379 | ||||||||
\(922\) | −7.88364 | + | 0.563849i | −0.259634 | + | 0.0185694i | ||||
\(923\) | −1.14398 | + | 5.25878i | −0.0376545 | + | 0.173095i | ||||
\(924\) | 7.20587 | − | 1.03605i | 0.237056 | − | 0.0340835i | ||||
\(925\) | −5.04242 | − | 36.3949i | −0.165794 | − | 1.19666i | ||||
\(926\) | 5.94162 | − | 41.3249i | 0.195254 | − | 1.35802i | ||||
\(927\) | −3.79312 | + | 6.94659i | −0.124582 | + | 0.228156i | ||||
\(928\) | 0.850777 | − | 0.185075i | 0.0279281 | − | 0.00607539i | ||||
\(929\) | −49.3484 | − | 22.5367i | −1.61907 | − | 0.739405i | −0.620089 | − | 0.784532i | \(-0.712903\pi\) |
−0.998981 | + | 0.0451271i | \(0.985631\pi\) | |||||||
\(930\) | −15.9280 | − | 17.1961i | −0.522301 | − | 0.563883i | ||||
\(931\) | 0.991476 | − | 0.859119i | 0.0324943 | − | 0.0281565i | ||||
\(932\) | 0.880712 | − | 12.3140i | 0.0288487 | − | 0.403357i | ||||
\(933\) | −19.3574 | + | 10.5699i | −0.633731 | + | 0.346044i | ||||
\(934\) | 2.43071 | − | 5.32251i | 0.0795352 | − | 0.174158i | ||||
\(935\) | −12.7282 | + | 37.9174i | −0.416258 | + | 1.24003i | ||||
\(936\) | 2.87323 | − | 0.843658i | 0.0939146 | − | 0.0275758i | ||||
\(937\) | −8.33847 | − | 11.1389i | −0.272406 | − | 0.363892i | 0.643388 | − | 0.765540i | \(-0.277528\pi\) |
−0.915794 | + | 0.401649i | \(0.868437\pi\) | |||||||
\(938\) | 3.50695 | + | 1.30803i | 0.114506 | + | 0.0427085i | ||||
\(939\) | −1.70609 | − | 11.8661i | −0.0556762 | − | 0.387236i | ||||
\(940\) | 0.0763621 | − | 0.0815982i | 0.00249066 | − | 0.00266144i | ||||
\(941\) | 0.476928 | + | 0.413260i | 0.0155474 | + | 0.0134719i | 0.662600 | − | 0.748974i | \(-0.269453\pi\) |
−0.647052 | + | 0.762446i | \(0.723999\pi\) | |||||||
\(942\) | −4.71785 | + | 4.71785i | −0.153716 | + | 0.153716i | ||||
\(943\) | 36.9644 | + | 42.2030i | 1.20373 | + | 1.37432i | ||||
\(944\) | − | 8.18815i | − | 0.266502i | ||||||
\(945\) | −5.05819 | + | 1.66913i | −0.164543 | + | 0.0542969i | ||||
\(946\) | 10.8755 | − | 6.98927i | 0.353594 | − | 0.227241i | ||||
\(947\) | −17.0801 | + | 22.8164i | −0.555029 | + | 0.741433i | −0.987047 | − | 0.160433i | \(-0.948711\pi\) |
0.432017 | + | 0.901865i | \(0.357802\pi\) | |||||||
\(948\) | −5.84784 | + | 15.6787i | −0.189929 | + | 0.509220i | ||||
\(949\) | −45.3205 | − | 6.51610i | −1.47117 | − | 0.211522i | ||||
\(950\) | −0.0253751 | + | 4.94776i | −0.000823277 | + | 0.160527i | ||||
\(951\) | −12.0577 | − | 7.74901i | −0.390997 | − | 0.251279i | ||||
\(952\) | 13.0628 | − | 4.87216i | 0.423367 | − | 0.157908i | ||||
\(953\) | 4.73488 | + | 8.67129i | 0.153378 | + | 0.280891i | 0.943058 | − | 0.332628i | \(-0.107935\pi\) |
−0.789680 | + | 0.613519i | \(0.789754\pi\) | |||||||
\(954\) | 2.32137 | + | 2.67901i | 0.0751573 | + | 0.0867361i | ||||
\(955\) | 53.8712 | − | 9.57686i | 1.74323 | − | 0.309900i | ||||
\(956\) | −8.95343 | − | 2.62896i | −0.289575 | − | 0.0850268i | ||||
\(957\) | −0.929895 | − | 2.49315i | −0.0300592 | − | 0.0805919i | ||||
\(958\) | 8.32920 | + | 38.2887i | 0.269104 | + | 1.23705i | ||||
\(959\) | 8.80833 | + | 29.9984i | 0.284436 | + | 0.968700i | ||||
\(960\) | −2.22386 | + | 0.233323i | −0.0717748 | + | 0.00753047i | ||||
\(961\) | 32.7687 | + | 71.7534i | 1.05705 | + | 2.31463i | ||||
\(962\) | −17.6162 | − | 13.1873i | −0.567969 | − | 0.425176i | ||||
\(963\) | −0.311046 | − | 0.0676639i | −0.0100233 | − | 0.00218044i | ||||
\(964\) | −16.7270 | + | 19.3040i | −0.538742 | + | 0.621741i | ||||
\(965\) | −34.0223 | + | 8.59082i | −1.09522 | + | 0.276548i | ||||
\(966\) | −10.7248 | − | 3.93522i | −0.345066 | − | 0.126614i | ||||
\(967\) | −1.44519 | − | 1.44519i | −0.0464742 | − | 0.0464742i | 0.683488 | − | 0.729962i | \(-0.260462\pi\) |
−0.729962 | + | 0.683488i | \(0.760462\pi\) | |||||||
\(968\) | 0.118418 | + | 1.65570i | 0.00380609 | + | 0.0532161i | ||||
\(969\) | −3.13125 | − | 4.87232i | −0.100590 | − | 0.156522i | ||||
\(970\) | 2.15295 | − | 5.16021i | 0.0691270 | − | 0.165684i | ||||
\(971\) | −21.7763 | + | 9.94492i | −0.698836 | + | 0.319148i | −0.732962 | − | 0.680270i | \(-0.761863\pi\) |
0.0341259 | + | 0.999418i | \(0.489135\pi\) | |||||||
\(972\) | −0.800541 | + | 0.599278i | −0.0256774 | + | 0.0192218i | ||||
\(973\) | 32.2464 | + | 17.6079i | 1.03377 | + | 0.564482i | ||||
\(974\) | −19.0610 | + | 29.6595i | −0.610754 | + | 0.950352i | ||||
\(975\) | 0.991532 | + | 14.9398i | 0.0317544 | + | 0.478456i | ||||
\(976\) | −3.02358 | + | 10.2974i | −0.0967824 | + | 0.329611i | ||||
\(977\) | 4.28722 | + | 0.306628i | 0.137160 | + | 0.00980990i | 0.139751 | − | 0.990187i | \(-0.455370\pi\) |
−0.00259022 | + | 0.999997i | \(0.500824\pi\) | |||||||
\(978\) | −1.49555 | − | 0.106964i | −0.0478223 | − | 0.00342032i | ||||
\(979\) | −5.63801 | + | 19.2013i | −0.180192 | + | 0.613676i | ||||
\(980\) | −2.43939 | + | 1.68445i | −0.0779235 | + | 0.0538076i | ||||
\(981\) | −7.02381 | + | 10.9293i | −0.224253 | + | 0.348944i | ||||
\(982\) | 29.2031 | + | 15.9461i | 0.931910 | + | 0.508861i | ||||
\(983\) | 18.5164 | − | 13.8612i | 0.590580 | − | 0.442103i | −0.261729 | − | 0.965142i | \(-0.584293\pi\) |
0.852309 | + | 0.523039i | \(0.175202\pi\) | |||||||
\(984\) | −10.6410 | + | 4.85958i | −0.339222 | + | 0.154918i | ||||
\(985\) | 56.2264 | − | 23.1210i | 1.79152 | − | 0.736696i | ||||
\(986\) | −2.75505 | − | 4.28694i | −0.0877386 | − | 0.136524i | ||||
\(987\) | 0.00849316 | + | 0.118750i | 0.000270340 | + | 0.00377985i | ||||
\(988\) | 2.09536 | + | 2.09536i | 0.0666623 | + | 0.0666623i | ||||
\(989\) | −20.2270 | + | 1.55499i | −0.643183 | + | 0.0494457i | ||||
\(990\) | 1.67305 | + | 6.62580i | 0.0531730 | + | 0.210582i | ||||
\(991\) | −27.5618 | + | 31.8080i | −0.875528 | + | 1.01041i | 0.124307 | + | 0.992244i | \(0.460329\pi\) |
−0.999835 | + | 0.0181695i | \(0.994216\pi\) | |||||||
\(992\) | 10.2429 | + | 2.22821i | 0.325212 | + | 0.0707456i | ||||
\(993\) | 19.2184 | + | 14.3867i | 0.609879 | + | 0.456550i | ||||
\(994\) | 1.77841 | + | 3.89418i | 0.0564078 | + | 0.123516i | ||||
\(995\) | −18.3139 | + | 22.6072i | −0.580589 | + | 0.716698i | ||||
\(996\) | −1.59285 | − | 5.42474i | −0.0504713 | − | 0.171890i | ||||
\(997\) | 4.01130 | + | 18.4396i | 0.127039 | + | 0.583989i | 0.996019 | + | 0.0891418i | \(0.0284124\pi\) |
−0.868980 | + | 0.494847i | \(0.835224\pi\) | |||||||
\(998\) | −3.77376 | − | 10.1178i | −0.119456 | − | 0.320275i | ||||
\(999\) | 7.05084 | + | 2.07031i | 0.223079 | + | 0.0655019i |
(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 | 690.2.w.a.7.10 | ✓ | 240 | |
5.3 | odd | 4 | inner | 690.2.w.a.283.2 | yes | 240 | |
23.10 | odd | 22 | inner | 690.2.w.a.217.2 | yes | 240 | |
115.33 | even | 44 | inner | 690.2.w.a.493.10 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.w.a.7.10 | ✓ | 240 | 1.1 | even | 1 | trivial | |
690.2.w.a.217.2 | yes | 240 | 23.10 | odd | 22 | inner | |
690.2.w.a.283.2 | yes | 240 | 5.3 | odd | 4 | inner | |
690.2.w.a.493.10 | yes | 240 | 115.33 | even | 44 | inner |