Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [637,2,Mod(53,637)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(637, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([10, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("637.53");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 637 = 7^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 637.bl (of order \(21\), degree \(12\), 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: | \(5.08647060876\) |
Analytic rank: | \(0\) |
Dimension: | \(324\) |
Relative dimension: | \(27\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 235.3 | ||
Character | \(\chi\) | \(=\) | 637.235 |
Dual form | 637.2.bl.a.534.3 |
$q$-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 \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(248\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{17}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.35574 | − | 0.355071i | −1.66576 | − | 0.251073i | −0.752542 | − | 0.658544i | \(-0.771173\pi\) |
−0.913218 | + | 0.407471i | \(0.866411\pi\) | |||||||
\(3\) | −1.45752 | + | 0.993721i | −0.841500 | + | 0.573725i | −0.905559 | − | 0.424221i | \(-0.860548\pi\) |
0.0640584 | + | 0.997946i | \(0.479596\pi\) | |||||||
\(4\) | 3.51230 | + | 1.08340i | 1.75615 | + | 0.541700i | ||||
\(5\) | 0.0168481 | + | 0.224822i | 0.00753470 | + | 0.100544i | 0.999703 | − | 0.0243633i | \(-0.00775585\pi\) |
−0.992168 | + | 0.124907i | \(0.960137\pi\) | |||||||
\(6\) | 3.78638 | − | 1.82343i | 1.54578 | − | 0.744411i | ||||
\(7\) | 1.48565 | − | 2.18925i | 0.561525 | − | 0.827460i | ||||
\(8\) | −3.59653 | − | 1.73200i | −1.27157 | − | 0.612354i | ||||
\(9\) | 0.0408633 | − | 0.104118i | 0.0136211 | − | 0.0347060i | ||||
\(10\) | 0.0401381 | − | 0.535605i | 0.0126928 | − | 0.169373i | ||||
\(11\) | −1.45337 | − | 3.70313i | −0.438208 | − | 1.11654i | −0.963995 | − | 0.265920i | \(-0.914324\pi\) |
0.525787 | − | 0.850616i | \(-0.323771\pi\) | |||||||
\(12\) | −6.19584 | + | 1.91116i | −1.78859 | + | 0.551706i | ||||
\(13\) | −0.623490 | + | 0.781831i | −0.172925 | + | 0.216841i | ||||
\(14\) | −4.27716 | + | 4.62980i | −1.14312 | + | 1.23737i | ||||
\(15\) | −0.247967 | − | 0.310941i | −0.0640248 | − | 0.0802846i | ||||
\(16\) | 1.78368 | + | 1.21609i | 0.445920 | + | 0.304023i | ||||
\(17\) | 3.86357 | + | 3.58487i | 0.937053 | + | 0.869458i | 0.991638 | − | 0.129051i | \(-0.0411931\pi\) |
−0.0545848 | + | 0.998509i | \(0.517384\pi\) | |||||||
\(18\) | −0.133233 | + | 0.230766i | −0.0314033 | + | 0.0543920i | ||||
\(19\) | −2.13151 | − | 3.69188i | −0.489002 | − | 0.846976i | 0.510918 | − | 0.859629i | \(-0.329305\pi\) |
−0.999920 | + | 0.0126536i | \(0.995972\pi\) | |||||||
\(20\) | −0.184397 | + | 0.807895i | −0.0412324 | + | 0.180651i | ||||
\(21\) | 0.0101342 | + | 4.66721i | 0.00221145 | + | 1.01847i | ||||
\(22\) | 2.10889 | + | 9.23967i | 0.449618 | + | 1.96990i | ||||
\(23\) | −5.75358 | + | 5.33854i | −1.19970 | + | 1.11316i | −0.208888 | + | 0.977940i | \(0.566984\pi\) |
−0.990815 | + | 0.135223i | \(0.956825\pi\) | |||||||
\(24\) | 6.96314 | − | 1.04952i | 1.42135 | − | 0.214233i | ||||
\(25\) | 4.89389 | − | 0.737636i | 0.978779 | − | 0.147527i | ||||
\(26\) | 1.74639 | − | 1.62041i | 0.342495 | − | 0.317788i | ||||
\(27\) | −1.13370 | − | 4.96708i | −0.218182 | − | 0.955916i | ||||
\(28\) | 7.58990 | − | 6.07975i | 1.43436 | − | 1.14896i | ||||
\(29\) | −0.546016 | + | 2.39225i | −0.101393 | + | 0.444230i | 0.898592 | + | 0.438784i | \(0.144591\pi\) |
−0.999985 | + | 0.00544625i | \(0.998266\pi\) | |||||||
\(30\) | 0.473740 | + | 0.820542i | 0.0864927 | + | 0.149810i | ||||
\(31\) | −2.58754 | + | 4.48175i | −0.464735 | + | 0.804945i | −0.999190 | − | 0.0402522i | \(-0.987184\pi\) |
0.534454 | + | 0.845197i | \(0.320517\pi\) | |||||||
\(32\) | 2.08237 | + | 1.93216i | 0.368115 | + | 0.341561i | ||||
\(33\) | 5.79820 | + | 3.95314i | 1.00934 | + | 0.688154i | ||||
\(34\) | −7.82869 | − | 9.81686i | −1.34261 | − | 1.68358i | ||||
\(35\) | 0.517223 | + | 0.297123i | 0.0874267 | + | 0.0502230i | ||||
\(36\) | 0.256326 | − | 0.321422i | 0.0427209 | − | 0.0535704i | ||||
\(37\) | 3.94028 | − | 1.21542i | 0.647778 | − | 0.199813i | 0.0465818 | − | 0.998914i | \(-0.485167\pi\) |
0.601196 | + | 0.799101i | \(0.294691\pi\) | |||||||
\(38\) | 3.71040 | + | 9.45395i | 0.601907 | + | 1.53363i | ||||
\(39\) | 0.131827 | − | 1.75911i | 0.0211092 | − | 0.281683i | ||||
\(40\) | 0.328797 | − | 0.837761i | 0.0519873 | − | 0.132462i | ||||
\(41\) | −10.2535 | − | 4.93783i | −1.60133 | − | 0.771160i | −0.601710 | − | 0.798715i | \(-0.705514\pi\) |
−0.999620 | + | 0.0275550i | \(0.991228\pi\) | |||||||
\(42\) | 1.63332 | − | 10.9983i | 0.252026 | − | 1.69708i | ||||
\(43\) | 9.48642 | − | 4.56842i | 1.44666 | − | 0.696677i | 0.464652 | − | 0.885493i | \(-0.346179\pi\) |
0.982012 | + | 0.188816i | \(0.0604650\pi\) | |||||||
\(44\) | −1.09270 | − | 14.5811i | −0.164731 | − | 2.19818i | ||||
\(45\) | 0.0240965 | + | 0.00743279i | 0.00359210 | + | 0.00110802i | ||||
\(46\) | 15.4495 | − | 10.5333i | 2.27790 | − | 1.55305i | ||||
\(47\) | −8.80720 | − | 1.32747i | −1.28466 | − | 0.193632i | −0.529016 | − | 0.848612i | \(-0.677439\pi\) |
−0.755646 | + | 0.654980i | \(0.772677\pi\) | |||||||
\(48\) | −3.80821 | −0.549667 | ||||||||
\(49\) | −2.58566 | − | 6.50495i | −0.369380 | − | 0.929278i | ||||
\(50\) | −11.7907 | −1.66745 | ||||||||
\(51\) | −9.19359 | − | 1.38571i | −1.28736 | − | 0.194038i | ||||
\(52\) | −3.03692 | + | 2.07053i | −0.421145 | + | 0.287132i | ||||
\(53\) | −7.43686 | − | 2.29397i | −1.02153 | − | 0.315101i | −0.261650 | − | 0.965163i | \(-0.584267\pi\) |
−0.759881 | + | 0.650062i | \(0.774743\pi\) | |||||||
\(54\) | 0.907048 | + | 12.1037i | 0.123434 | + | 1.64711i | ||||
\(55\) | 0.808059 | − | 0.389141i | 0.108959 | − | 0.0524717i | ||||
\(56\) | −9.13498 | + | 5.30057i | −1.22071 | + | 0.708318i | ||||
\(57\) | 6.77542 | + | 3.26287i | 0.897426 | + | 0.432178i | ||||
\(58\) | 2.13569 | − | 5.44166i | 0.280430 | − | 0.714525i | ||||
\(59\) | 0.822910 | − | 10.9810i | 0.107134 | − | 1.42960i | −0.641757 | − | 0.766908i | \(-0.721794\pi\) |
0.748891 | − | 0.662693i | \(-0.230587\pi\) | |||||||
\(60\) | −0.534060 | − | 1.36076i | −0.0689469 | − | 0.175674i | ||||
\(61\) | −13.9022 | + | 4.28827i | −1.78000 | + | 0.549057i | −0.997306 | − | 0.0733517i | \(-0.976630\pi\) |
−0.782693 | + | 0.622409i | \(0.786154\pi\) | |||||||
\(62\) | 7.68690 | − | 9.63907i | 0.976238 | − | 1.22416i | ||||
\(63\) | −0.167232 | − | 0.244144i | −0.0210693 | − | 0.0307592i | ||||
\(64\) | −6.91145 | − | 8.66669i | −0.863932 | − | 1.08334i | ||||
\(65\) | −0.186278 | − | 0.127002i | −0.0231049 | − | 0.0157527i | ||||
\(66\) | −12.2554 | − | 11.3714i | −1.50854 | − | 1.39972i | ||||
\(67\) | 1.19198 | − | 2.06458i | 0.145624 | − | 0.252228i | −0.783982 | − | 0.620784i | \(-0.786814\pi\) |
0.929606 | + | 0.368556i | \(0.120148\pi\) | |||||||
\(68\) | 9.68615 | + | 16.7769i | 1.17462 | + | 2.03450i | ||||
\(69\) | 3.08094 | − | 13.4985i | 0.370902 | − | 1.62503i | ||||
\(70\) | −1.11294 | − | 0.883597i | −0.133022 | − | 0.105610i | ||||
\(71\) | 0.563145 | + | 2.46730i | 0.0668330 | + | 0.292815i | 0.997289 | − | 0.0735902i | \(-0.0234457\pi\) |
−0.930456 | + | 0.366405i | \(0.880589\pi\) | |||||||
\(72\) | −0.327299 | + | 0.303689i | −0.0385725 | + | 0.0357901i | ||||
\(73\) | 7.88121 | − | 1.18790i | 0.922425 | − | 0.139033i | 0.329376 | − | 0.944199i | \(-0.393162\pi\) |
0.593050 | + | 0.805166i | \(0.297924\pi\) | |||||||
\(74\) | −9.71384 | + | 1.46413i | −1.12921 | + | 0.170201i | ||||
\(75\) | −6.39995 | + | 5.93828i | −0.739002 | + | 0.685694i | ||||
\(76\) | −3.48671 | − | 15.2763i | −0.399953 | − | 1.75231i | ||||
\(77\) | −10.2663 | − | 2.31977i | −1.16995 | − | 0.264363i | ||||
\(78\) | −0.935160 | + | 4.09720i | −0.105886 | + | 0.463917i | ||||
\(79\) | −8.76693 | − | 15.1848i | −0.986356 | − | 1.70842i | −0.635748 | − | 0.771897i | \(-0.719308\pi\) |
−0.350608 | − | 0.936522i | \(-0.614025\pi\) | |||||||
\(80\) | −0.243353 | + | 0.421500i | −0.0272077 | + | 0.0471251i | ||||
\(81\) | 6.83427 | + | 6.34128i | 0.759363 | + | 0.704586i | ||||
\(82\) | 22.4013 | + | 15.2730i | 2.47382 | + | 1.68662i | ||||
\(83\) | 2.44136 | + | 3.06137i | 0.267975 | + | 0.336030i | 0.897552 | − | 0.440908i | \(-0.145343\pi\) |
−0.629578 | + | 0.776938i | \(0.716772\pi\) | |||||||
\(84\) | −5.02086 | + | 16.4036i | −0.547821 | + | 1.78978i | ||||
\(85\) | −0.740864 | + | 0.929014i | −0.0803580 | + | 0.100766i | ||||
\(86\) | −23.9697 | + | 7.39366i | −2.58471 | + | 0.797279i | ||||
\(87\) | −1.58140 | − | 4.02935i | −0.169544 | − | 0.431992i | ||||
\(88\) | −1.18672 | + | 15.8357i | −0.126505 | + | 1.68809i | ||||
\(89\) | 1.23812 | − | 3.15468i | 0.131241 | − | 0.334396i | −0.850115 | − | 0.526597i | \(-0.823468\pi\) |
0.981355 | + | 0.192202i | \(0.0615628\pi\) | |||||||
\(90\) | −0.0541260 | − | 0.0260657i | −0.00570538 | − | 0.00274757i | ||||
\(91\) | 0.785337 | + | 2.52651i | 0.0823257 | + | 0.264850i | ||||
\(92\) | −25.9920 | + | 12.5171i | −2.70986 | + | 1.30500i | ||||
\(93\) | −0.682215 | − | 9.10353i | −0.0707424 | − | 0.943992i | ||||
\(94\) | 20.2761 | + | 6.25436i | 2.09132 | + | 0.645088i | ||||
\(95\) | 0.794105 | − | 0.541412i | 0.0814734 | − | 0.0555477i | ||||
\(96\) | −4.95513 | − | 0.746866i | −0.505731 | − | 0.0762267i | ||||
\(97\) | −5.13092 | −0.520966 | −0.260483 | − | 0.965478i | \(-0.583882\pi\) | ||||
−0.260483 | + | 0.965478i | \(0.583882\pi\) | |||||||
\(98\) | 3.78143 | + | 16.2421i | 0.381982 | + | 1.64070i | ||||
\(99\) | −0.444952 | −0.0447194 | ||||||||
\(100\) | 17.9880 | + | 2.71125i | 1.79880 | + | 0.271125i | ||||
\(101\) | 4.50199 | − | 3.06941i | 0.447965 | − | 0.305417i | −0.318244 | − | 0.948009i | \(-0.603093\pi\) |
0.766209 | + | 0.642592i | \(0.222141\pi\) | |||||||
\(102\) | 21.1657 | + | 6.52875i | 2.09572 | + | 0.646443i | ||||
\(103\) | −0.249327 | − | 3.32703i | −0.0245669 | − | 0.327822i | −0.995924 | − | 0.0901975i | \(-0.971250\pi\) |
0.971357 | − | 0.237625i | \(-0.0763689\pi\) | |||||||
\(104\) | 3.59653 | − | 1.73200i | 0.352669 | − | 0.169836i | ||||
\(105\) | −1.04912 | + | 0.0809120i | −0.102384 | + | 0.00789620i | ||||
\(106\) | 16.7048 | + | 8.04460i | 1.62251 | + | 0.781361i | ||||
\(107\) | 4.24861 | − | 10.8253i | 0.410729 | − | 1.04652i | −0.564522 | − | 0.825418i | \(-0.690940\pi\) |
0.975251 | − | 0.221101i | \(-0.0709652\pi\) | |||||||
\(108\) | 1.39943 | − | 18.6741i | 0.134660 | − | 1.79692i | ||||
\(109\) | −5.40354 | − | 13.7680i | −0.517565 | − | 1.31873i | −0.915868 | − | 0.401480i | \(-0.868496\pi\) |
0.398302 | − | 0.917254i | \(-0.369599\pi\) | |||||||
\(110\) | −2.04175 | + | 0.629797i | −0.194673 | + | 0.0600488i | ||||
\(111\) | −4.53526 | + | 5.68703i | −0.430468 | + | 0.539789i | ||||
\(112\) | 5.31227 | − | 2.09823i | 0.501962 | − | 0.198264i | ||||
\(113\) | −9.21269 | − | 11.5523i | −0.866657 | − | 1.08675i | −0.995469 | − | 0.0950842i | \(-0.969688\pi\) |
0.128813 | − | 0.991669i | \(-0.458883\pi\) | |||||||
\(114\) | −14.8026 | − | 10.0922i | −1.38639 | − | 0.945224i | ||||
\(115\) | −1.29716 | − | 1.20359i | −0.120961 | − | 0.112235i | ||||
\(116\) | −4.50954 | + | 7.81075i | −0.418700 | + | 0.725210i | ||||
\(117\) | 0.0559249 | + | 0.0968648i | 0.00517026 | + | 0.00895516i | ||||
\(118\) | −5.83759 | + | 25.5761i | −0.537393 | + | 2.35447i | ||||
\(119\) | 13.5881 | − | 3.13246i | 1.24562 | − | 0.287152i | ||||
\(120\) | 0.353272 | + | 1.54779i | 0.0322492 | + | 0.141293i | ||||
\(121\) | −3.53731 | + | 3.28215i | −0.321574 | + | 0.298377i | ||||
\(122\) | 34.2727 | − | 5.16578i | 3.10291 | − | 0.467688i | ||||
\(123\) | 19.8515 | − | 2.99214i | 1.78995 | − | 0.269792i | ||||
\(124\) | −13.9437 | + | 12.9379i | −1.25218 | + | 1.16186i | ||||
\(125\) | 0.499129 | + | 2.18683i | 0.0446435 | + | 0.195596i | ||||
\(126\) | 0.307267 | + | 0.634519i | 0.0273735 | + | 0.0565274i | ||||
\(127\) | −2.67924 | + | 11.7385i | −0.237744 | + | 1.04162i | 0.705288 | + | 0.708921i | \(0.250818\pi\) |
−0.943032 | + | 0.332703i | \(0.892039\pi\) | |||||||
\(128\) | 10.3636 | + | 17.9503i | 0.916023 | + | 1.58660i | ||||
\(129\) | −9.28692 | + | 16.0854i | −0.817668 | + | 1.41624i | ||||
\(130\) | 0.393727 | + | 0.365325i | 0.0345322 | + | 0.0320412i | ||||
\(131\) | −1.24200 | − | 0.846780i | −0.108514 | − | 0.0739835i | 0.507847 | − | 0.861447i | \(-0.330441\pi\) |
−0.616361 | + | 0.787464i | \(0.711394\pi\) | |||||||
\(132\) | 16.0822 | + | 20.1664i | 1.39977 | + | 1.75526i | ||||
\(133\) | −11.2492 | − | 0.818448i | −0.975425 | − | 0.0709685i | ||||
\(134\) | −3.54107 | + | 4.44037i | −0.305902 | + | 0.383589i | ||||
\(135\) | 1.09761 | − | 0.338568i | 0.0944672 | − | 0.0291393i | ||||
\(136\) | −7.68646 | − | 19.5848i | −0.659109 | − | 1.67938i | ||||
\(137\) | 0.547686 | − | 7.30836i | 0.0467920 | − | 0.624396i | −0.923677 | − | 0.383171i | \(-0.874832\pi\) |
0.970469 | − | 0.241225i | \(-0.0775490\pi\) | |||||||
\(138\) | −12.0508 | + | 30.7050i | −1.02583 | + | 2.61378i | ||||
\(139\) | 8.46739 | + | 4.07768i | 0.718195 | + | 0.345864i | 0.757029 | − | 0.653381i | \(-0.226650\pi\) |
−0.0388342 | + | 0.999246i | \(0.512364\pi\) | |||||||
\(140\) | 1.49474 | + | 1.60394i | 0.126328 | + | 0.135558i | ||||
\(141\) | 14.1558 | − | 6.81708i | 1.19214 | − | 0.574102i | ||||
\(142\) | −0.450558 | − | 6.01228i | −0.0378100 | − | 0.504539i | ||||
\(143\) | 3.80139 | + | 1.17257i | 0.317888 | + | 0.0980554i | ||||
\(144\) | 0.199504 | − | 0.136020i | 0.0166254 | − | 0.0113350i | ||||
\(145\) | −0.547031 | − | 0.0824517i | −0.0454285 | − | 0.00684724i | ||||
\(146\) | −18.9879 | −1.57145 | ||||||||
\(147\) | 10.2328 | + | 6.91168i | 0.843984 | + | 0.570065i | ||||
\(148\) | 15.1562 | 1.24583 | ||||||||
\(149\) | 15.9629 | + | 2.40602i | 1.30773 | + | 0.197109i | 0.765672 | − | 0.643231i | \(-0.222406\pi\) |
0.542060 | + | 0.840340i | \(0.317645\pi\) | |||||||
\(150\) | 17.1851 | − | 11.7166i | 1.40316 | − | 0.956659i | ||||
\(151\) | 0.507610 | + | 0.156577i | 0.0413088 | + | 0.0127421i | 0.315341 | − | 0.948979i | \(-0.397881\pi\) |
−0.274032 | + | 0.961721i | \(0.588357\pi\) | |||||||
\(152\) | 1.27171 | + | 16.9697i | 0.103149 | + | 1.37643i | ||||
\(153\) | 0.531128 | − | 0.255778i | 0.0429392 | − | 0.0206784i | ||||
\(154\) | 23.3611 | + | 9.11005i | 1.88249 | + | 0.734109i | ||||
\(155\) | −1.05119 | − | 0.506227i | −0.0844337 | − | 0.0406611i | ||||
\(156\) | 2.36884 | − | 6.03570i | 0.189659 | − | 0.483243i | ||||
\(157\) | −0.656123 | + | 8.75535i | −0.0523643 | + | 0.698753i | 0.907815 | + | 0.419370i | \(0.137749\pi\) |
−0.960180 | + | 0.279383i | \(0.909870\pi\) | |||||||
\(158\) | 15.2609 | + | 38.8842i | 1.21410 | + | 3.09346i | ||||
\(159\) | 13.1189 | − | 4.04666i | 1.04040 | − | 0.320921i | ||||
\(160\) | −0.399308 | + | 0.500717i | −0.0315681 | + | 0.0395852i | ||||
\(161\) | 3.13959 | + | 20.5273i | 0.247434 | + | 1.61777i | ||||
\(162\) | −13.8482 | − | 17.3651i | −1.08802 | − | 1.36433i | ||||
\(163\) | −10.5635 | − | 7.20206i | −0.827396 | − | 0.564109i | 0.0739235 | − | 0.997264i | \(-0.476448\pi\) |
−0.901320 | + | 0.433155i | \(0.857400\pi\) | |||||||
\(164\) | −30.6637 | − | 28.4518i | −2.39444 | − | 2.22171i | ||||
\(165\) | −0.791066 | + | 1.37017i | −0.0615844 | + | 0.106667i | ||||
\(166\) | −4.66422 | − | 8.07866i | −0.362014 | − | 0.627026i | ||||
\(167\) | −2.37716 | + | 10.4150i | −0.183950 | + | 0.805940i | 0.795775 | + | 0.605593i | \(0.207064\pi\) |
−0.979725 | + | 0.200347i | \(0.935793\pi\) | |||||||
\(168\) | 8.04715 | − | 16.8033i | 0.620851 | − | 1.29640i | ||||
\(169\) | −0.222521 | − | 0.974928i | −0.0171170 | − | 0.0749945i | ||||
\(170\) | 2.07515 | − | 1.92546i | 0.159157 | − | 0.147676i | ||||
\(171\) | −0.471492 | + | 0.0710660i | −0.0360559 | + | 0.00543455i | ||||
\(172\) | 38.2685 | − | 5.76805i | 2.91795 | − | 0.439810i | ||||
\(173\) | −10.4759 | + | 9.72020i | −0.796466 | + | 0.739013i | −0.969285 | − | 0.245941i | \(-0.920903\pi\) |
0.172818 | + | 0.984954i | \(0.444713\pi\) | |||||||
\(174\) | 2.29467 | + | 10.0536i | 0.173959 | + | 0.762163i | ||||
\(175\) | 5.65576 | − | 11.8098i | 0.427536 | − | 0.892740i | ||||
\(176\) | 1.91100 | − | 8.37263i | 0.144047 | − | 0.631111i | ||||
\(177\) | 9.71262 | + | 16.8227i | 0.730045 | + | 1.26447i | ||||
\(178\) | −4.03683 | + | 6.99200i | −0.302573 | + | 0.524072i | ||||
\(179\) | −10.1658 | − | 9.43252i | −0.759830 | − | 0.705019i | 0.201782 | − | 0.979430i | \(-0.435327\pi\) |
−0.961613 | + | 0.274411i | \(0.911517\pi\) | |||||||
\(180\) | 0.0765814 | + | 0.0522123i | 0.00570804 | + | 0.00389168i | ||||
\(181\) | 10.8323 | + | 13.5833i | 0.805158 | + | 1.00964i | 0.999587 | + | 0.0287199i | \(0.00914310\pi\) |
−0.194429 | + | 0.980917i | \(0.562285\pi\) | |||||||
\(182\) | −0.952960 | − | 6.23065i | −0.0706381 | − | 0.461847i | ||||
\(183\) | 16.0015 | − | 20.0652i | 1.18286 | − | 1.48326i | ||||
\(184\) | 29.9392 | − | 9.23503i | 2.20715 | − | 0.680816i | ||||
\(185\) | 0.339638 | + | 0.865385i | 0.0249707 | + | 0.0636244i | ||||
\(186\) | −1.62528 | + | 21.6878i | −0.119171 | + | 1.59023i | ||||
\(187\) | 7.66003 | − | 19.5174i | 0.560157 | − | 1.42726i | ||||
\(188\) | −29.4953 | − | 14.2042i | −2.15117 | − | 1.03595i | ||||
\(189\) | −12.5585 | − | 4.89741i | −0.913497 | − | 0.356234i | ||||
\(190\) | −2.06295 | + | 0.993462i | −0.149662 | + | 0.0720733i | ||||
\(191\) | −1.49666 | − | 19.9715i | −0.108294 | − | 1.44509i | −0.741422 | − | 0.671039i | \(-0.765848\pi\) |
0.633128 | − | 0.774047i | \(-0.281771\pi\) | |||||||
\(192\) | 18.6859 | + | 5.76382i | 1.34854 | + | 0.415968i | ||||
\(193\) | −5.86842 | + | 4.00102i | −0.422418 | + | 0.288000i | −0.755813 | − | 0.654787i | \(-0.772758\pi\) |
0.333395 | + | 0.942787i | \(0.391806\pi\) | |||||||
\(194\) | 12.0871 | + | 1.82184i | 0.867805 | + | 0.130801i | ||||
\(195\) | 0.397708 | 0.0284805 | ||||||||
\(196\) | −2.03414 | − | 25.6486i | −0.145296 | − | 1.83204i | ||||
\(197\) | −2.62306 | −0.186885 | −0.0934427 | − | 0.995625i | \(-0.529787\pi\) | ||||
−0.0934427 | + | 0.995625i | \(0.529787\pi\) | |||||||
\(198\) | 1.04819 | + | 0.157990i | 0.0744918 | + | 0.0112278i | ||||
\(199\) | −17.5209 | + | 11.9456i | −1.24203 | + | 0.846799i | −0.992580 | − | 0.121589i | \(-0.961201\pi\) |
−0.249446 | + | 0.968389i | \(0.580249\pi\) | |||||||
\(200\) | −18.8786 | − | 5.82328i | −1.33492 | − | 0.411768i | ||||
\(201\) | 0.314271 | + | 4.19366i | 0.0221670 | + | 0.295798i | ||||
\(202\) | −11.6954 | + | 5.63220i | −0.822884 | + | 0.396280i | ||||
\(203\) | 4.42606 | + | 4.74943i | 0.310648 | + | 0.333345i | ||||
\(204\) | −30.7893 | − | 14.8274i | −2.15569 | − | 1.03812i | ||||
\(205\) | 0.937382 | − | 2.38841i | 0.0654696 | − | 0.166814i | ||||
\(206\) | −0.593984 | + | 7.92616i | −0.0413848 | + | 0.552242i | ||||
\(207\) | 0.320728 | + | 0.817202i | 0.0222921 | + | 0.0567994i | ||||
\(208\) | −2.06289 | + | 0.636316i | −0.143035 | + | 0.0441206i | ||||
\(209\) | −10.5736 | + | 13.2589i | −0.731394 | + | 0.917139i | ||||
\(210\) | 2.50019 | + | 0.181905i | 0.172529 | + | 0.0125526i | ||||
\(211\) | −5.62394 | − | 7.05219i | −0.387168 | − | 0.485493i | 0.549608 | − | 0.835422i | \(-0.314777\pi\) |
−0.936776 | + | 0.349929i | \(0.886206\pi\) | |||||||
\(212\) | −23.6352 | − | 16.1142i | −1.62327 | − | 1.10673i | ||||
\(213\) | −3.27260 | − | 3.03653i | −0.224235 | − | 0.208060i | ||||
\(214\) | −13.8524 | + | 23.9930i | −0.946928 | + | 1.64013i | ||||
\(215\) | 1.18691 | + | 2.05579i | 0.0809465 | + | 0.140204i | ||||
\(216\) | −4.52558 | + | 19.8278i | −0.307926 | + | 1.34911i | ||||
\(217\) | 5.96749 | + | 12.3231i | 0.405100 | + | 0.836546i | ||||
\(218\) | 7.84073 | + | 34.3525i | 0.531041 | + | 2.32664i | ||||
\(219\) | −10.3066 | + | 9.56311i | −0.696454 | + | 0.646215i | ||||
\(220\) | 3.25974 | − | 0.491326i | 0.219771 | − | 0.0331252i | ||||
\(221\) | −5.21166 | + | 0.785531i | −0.350574 | + | 0.0528405i | ||||
\(222\) | 12.7032 | − | 11.7868i | 0.852583 | − | 0.791081i | ||||
\(223\) | −1.11358 | − | 4.87891i | −0.0745709 | − | 0.326716i | 0.923859 | − | 0.382733i | \(-0.125017\pi\) |
−0.998430 | + | 0.0560168i | \(0.982160\pi\) | |||||||
\(224\) | 7.32368 | − | 1.68832i | 0.489334 | − | 0.112806i | ||||
\(225\) | 0.123180 | − | 0.539685i | 0.00821197 | − | 0.0359790i | ||||
\(226\) | 17.6008 | + | 30.4855i | 1.17079 | + | 2.02786i | ||||
\(227\) | 0.569739 | − | 0.986818i | 0.0378149 | − | 0.0654974i | −0.846499 | − | 0.532391i | \(-0.821294\pi\) |
0.884313 | + | 0.466894i | \(0.154627\pi\) | |||||||
\(228\) | 20.2623 | + | 18.8007i | 1.34190 | + | 1.24510i | ||||
\(229\) | −12.6258 | − | 8.60811i | −0.834335 | − | 0.568840i | 0.0690780 | − | 0.997611i | \(-0.477994\pi\) |
−0.903413 | + | 0.428771i | \(0.858947\pi\) | |||||||
\(230\) | 2.62841 | + | 3.29592i | 0.173312 | + | 0.217327i | ||||
\(231\) | 17.2686 | − | 6.82072i | 1.13619 | − | 0.448770i | ||||
\(232\) | 6.10714 | − | 7.65812i | 0.400954 | − | 0.502780i | ||||
\(233\) | −10.9600 | + | 3.38072i | −0.718016 | + | 0.221478i | −0.632170 | − | 0.774830i | \(-0.717835\pi\) |
−0.0858459 | + | 0.996308i | \(0.527359\pi\) | |||||||
\(234\) | −0.0973508 | − | 0.248046i | −0.00636402 | − | 0.0162153i | ||||
\(235\) | 0.150061 | − | 2.00242i | 0.00978887 | − | 0.130623i | ||||
\(236\) | 14.7871 | − | 37.6769i | 0.962557 | − | 2.45256i | ||||
\(237\) | 27.8674 | + | 13.4202i | 1.81018 | + | 0.871738i | ||||
\(238\) | −33.1223 | + | 2.55451i | −2.14700 | + | 0.165584i | ||||
\(239\) | 8.88075 | − | 4.27674i | 0.574448 | − | 0.276640i | −0.124021 | − | 0.992280i | \(-0.539579\pi\) |
0.698469 | + | 0.715640i | \(0.253865\pi\) | |||||||
\(240\) | −0.0641610 | − | 0.856169i | −0.00414158 | − | 0.0552655i | ||||
\(241\) | −22.2382 | − | 6.85958i | −1.43249 | − | 0.441864i | −0.521130 | − | 0.853477i | \(-0.674489\pi\) |
−0.911359 | + | 0.411613i | \(0.864966\pi\) | |||||||
\(242\) | 9.49839 | − | 6.47589i | 0.610580 | − | 0.416286i | ||||
\(243\) | −1.14880 | − | 0.173154i | −0.0736958 | − | 0.0111078i | ||||
\(244\) | −53.4747 | −3.42337 | ||||||||
\(245\) | 1.41889 | − | 0.690910i | 0.0906498 | − | 0.0441406i | ||||
\(246\) | −47.8275 | −3.04937 | ||||||||
\(247\) | 4.21540 | + | 0.635370i | 0.268220 | + | 0.0404276i | ||||
\(248\) | 17.0685 | − | 11.6371i | 1.08385 | − | 0.738958i | ||||
\(249\) | −6.60049 | − | 2.03598i | −0.418289 | − | 0.129025i | ||||
\(250\) | −0.399340 | − | 5.32883i | −0.0252565 | − | 0.337025i | ||||
\(251\) | 5.96179 | − | 2.87105i | 0.376305 | − | 0.181219i | −0.236165 | − | 0.971713i | \(-0.575890\pi\) |
0.612470 | + | 0.790494i | \(0.290176\pi\) | |||||||
\(252\) | −0.322863 | − | 1.03868i | −0.0203385 | − | 0.0654310i | ||||
\(253\) | 28.1314 | + | 13.5474i | 1.76860 | + | 0.851715i | ||||
\(254\) | 10.4796 | − | 26.7016i | 0.657548 | − | 1.67541i | ||||
\(255\) | 0.156644 | − | 2.09027i | 0.00980943 | − | 0.130898i | ||||
\(256\) | −9.94067 | − | 25.3284i | −0.621292 | − | 1.58303i | ||||
\(257\) | −6.36985 | + | 1.96484i | −0.397341 | + | 0.122563i | −0.486985 | − | 0.873411i | \(-0.661903\pi\) |
0.0896441 | + | 0.995974i | \(0.471427\pi\) | |||||||
\(258\) | 27.5890 | − | 34.5956i | 1.71762 | − | 2.15383i | ||||
\(259\) | 3.19304 | − | 10.4320i | 0.198406 | − | 0.648210i | ||||
\(260\) | −0.516668 | − | 0.647882i | −0.0320424 | − | 0.0401799i | ||||
\(261\) | 0.226765 | + | 0.154606i | 0.0140364 | + | 0.00956985i | ||||
\(262\) | 2.62516 | + | 2.43579i | 0.162183 | + | 0.150484i | ||||
\(263\) | −3.09545 | + | 5.36148i | −0.190874 | + | 0.330603i | −0.945540 | − | 0.325506i | \(-0.894465\pi\) |
0.754666 | + | 0.656109i | \(0.227799\pi\) | |||||||
\(264\) | −14.0066 | − | 24.2601i | −0.862044 | − | 1.49310i | ||||
\(265\) | 0.390438 | − | 1.71062i | 0.0239844 | − | 0.105082i | ||||
\(266\) | 26.2095 | + | 5.92230i | 1.60701 | + | 0.363119i | ||||
\(267\) | 1.33029 | + | 5.82837i | 0.0814122 | + | 0.356690i | ||||
\(268\) | 6.42336 | − | 5.96000i | 0.392369 | − | 0.364065i | ||||
\(269\) | 8.12506 | − | 1.22466i | 0.495394 | − | 0.0746686i | 0.103406 | − | 0.994639i | \(-0.467026\pi\) |
0.391987 | + | 0.919971i | \(0.371788\pi\) | |||||||
\(270\) | −2.70590 | + | 0.407849i | −0.164676 | + | 0.0248209i | ||||
\(271\) | −20.4863 | + | 19.0085i | −1.24445 | + | 1.15468i | −0.262627 | + | 0.964897i | \(0.584589\pi\) |
−0.981826 | + | 0.189786i | \(0.939221\pi\) | |||||||
\(272\) | 2.53184 | + | 11.0927i | 0.153515 | + | 0.672595i | ||||
\(273\) | −3.65529 | − | 2.90203i | −0.221228 | − | 0.175639i | ||||
\(274\) | −3.88519 | + | 17.0221i | −0.234713 | + | 1.02835i | ||||
\(275\) | −9.84421 | − | 17.0507i | −0.593628 | − | 1.02819i | ||||
\(276\) | 25.4454 | − | 44.0728i | 1.53163 | − | 2.65287i | ||||
\(277\) | 16.8182 | + | 15.6050i | 1.01051 | + | 0.937613i | 0.998057 | − | 0.0623094i | \(-0.0198465\pi\) |
0.0124498 | + | 0.999922i | \(0.496037\pi\) | |||||||
\(278\) | −18.4991 | − | 12.6125i | −1.10950 | − | 0.756447i | ||||
\(279\) | 0.360895 | + | 0.452548i | 0.0216062 | + | 0.0270934i | ||||
\(280\) | −1.34559 | − | 1.96444i | −0.0804145 | − | 0.117398i | ||||
\(281\) | −10.3690 | + | 13.0023i | −0.618561 | + | 0.775651i | −0.988141 | − | 0.153548i | \(-0.950930\pi\) |
0.369580 | + | 0.929199i | \(0.379501\pi\) | |||||||
\(282\) | −35.7680 | + | 11.0330i | −2.12995 | + | 0.657004i | ||||
\(283\) | −7.27219 | − | 18.5293i | −0.432287 | − | 1.10145i | −0.966629 | − | 0.256181i | \(-0.917536\pi\) |
0.534342 | − | 0.845269i | \(-0.320560\pi\) | |||||||
\(284\) | −0.695140 | + | 9.27600i | −0.0412490 | + | 0.550429i | ||||
\(285\) | −0.619413 | + | 1.57824i | −0.0366908 | + | 0.0934867i | ||||
\(286\) | −8.53874 | − | 4.11204i | −0.504906 | − | 0.243150i | ||||
\(287\) | −26.0433 | + | 15.1116i | −1.53729 | + | 0.892011i | ||||
\(288\) | 0.286266 | − | 0.137858i | 0.0168684 | − | 0.00812338i | ||||
\(289\) | 0.805474 | + | 10.7483i | 0.0473808 | + | 0.632253i | ||||
\(290\) | 1.25939 | + | 0.388470i | 0.0739538 | + | 0.0228117i | ||||
\(291\) | 7.47843 | − | 5.09871i | 0.438393 | − | 0.298891i | ||||
\(292\) | 28.9681 | + | 4.36624i | 1.69523 | + | 0.255515i | ||||
\(293\) | 0.701052 | 0.0409559 | 0.0204780 | − | 0.999790i | \(-0.493481\pi\) | ||||
0.0204780 | + | 0.999790i | \(0.493481\pi\) | |||||||
\(294\) | −21.6516 | − | 19.9155i | −1.26275 | − | 1.16149i | ||||
\(295\) | 2.48263 | 0.144544 | ||||||||
\(296\) | −16.2764 | − | 2.45328i | −0.946048 | − | 0.142594i | ||||
\(297\) | −16.7461 | + | 11.4173i | −0.971705 | + | 0.662498i | ||||
\(298\) | −36.7502 | − | 11.3359i | −2.12888 | − | 0.656673i | ||||
\(299\) | −0.586541 | − | 7.82685i | −0.0339206 | − | 0.452638i | ||||
\(300\) | −28.9121 | + | 13.9233i | −1.66924 | + | 0.803863i | ||||
\(301\) | 4.09212 | − | 27.5553i | 0.235866 | − | 1.58826i | ||||
\(302\) | −1.14020 | − | 0.549093i | −0.0656113 | − | 0.0315967i | ||||
\(303\) | −3.51161 | + | 8.94745i | −0.201737 | + | 0.514017i | ||||
\(304\) | 0.687739 | − | 9.17725i | 0.0394446 | − | 0.526351i | ||||
\(305\) | −1.19832 | − | 3.05328i | −0.0686159 | − | 0.174830i | ||||
\(306\) | −1.34202 | + | 0.413958i | −0.0767181 | + | 0.0236644i | ||||
\(307\) | 1.06501 | − | 1.33548i | 0.0607835 | − | 0.0762201i | −0.750510 | − | 0.660859i | \(-0.770192\pi\) |
0.811294 | + | 0.584639i | \(0.198764\pi\) | |||||||
\(308\) | −33.5450 | − | 19.2702i | −1.91141 | − | 1.09802i | ||||
\(309\) | 3.66954 | + | 4.60146i | 0.208753 | + | 0.261768i | ||||
\(310\) | 2.29659 | + | 1.56579i | 0.130437 | + | 0.0889307i | ||||
\(311\) | −1.22560 | − | 1.13719i | −0.0694971 | − | 0.0644839i | 0.644660 | − | 0.764470i | \(-0.276999\pi\) |
−0.714157 | + | 0.699986i | \(0.753190\pi\) | |||||||
\(312\) | −3.52090 | + | 6.09837i | −0.199332 | + | 0.345252i | ||||
\(313\) | −2.28553 | − | 3.95866i | −0.129186 | − | 0.223757i | 0.794176 | − | 0.607688i | \(-0.207903\pi\) |
−0.923361 | + | 0.383932i | \(0.874570\pi\) | |||||||
\(314\) | 4.65443 | − | 20.3924i | 0.262664 | − | 1.15081i | ||||
\(315\) | 0.0520714 | − | 0.0417108i | 0.00293389 | − | 0.00235014i | ||||
\(316\) | −14.3409 | − | 62.8315i | −0.806737 | − | 3.53455i | ||||
\(317\) | 22.6277 | − | 20.9955i | 1.27090 | − | 1.17922i | 0.296342 | − | 0.955082i | \(-0.404233\pi\) |
0.974557 | − | 0.224140i | \(-0.0719574\pi\) | |||||||
\(318\) | −32.3417 | + | 4.87472i | −1.81363 | + | 0.273361i | ||||
\(319\) | 9.65239 | − | 1.45486i | 0.540430 | − | 0.0814568i | ||||
\(320\) | 1.83202 | − | 1.69986i | 0.102413 | − | 0.0950253i | ||||
\(321\) | 4.56487 | + | 20.0000i | 0.254786 | + | 1.11629i | ||||
\(322\) | −0.107420 | − | 49.4717i | −0.00598631 | − | 2.75695i | ||||
\(323\) | 4.99968 | − | 21.9050i | 0.278189 | − | 1.21883i | ||||
\(324\) | 17.1338 | + | 29.6767i | 0.951880 | + | 1.64871i | ||||
\(325\) | −2.47459 | + | 4.28611i | −0.137265 | + | 0.237750i | ||||
\(326\) | 22.3276 | + | 20.7170i | 1.23661 | + | 1.14741i | ||||
\(327\) | 21.5573 | + | 14.6975i | 1.19212 | + | 0.812775i | ||||
\(328\) | 28.3248 | + | 35.5181i | 1.56397 | + | 1.96116i | ||||
\(329\) | −15.9906 | + | 17.3090i | −0.881592 | + | 0.954278i | ||||
\(330\) | 2.35005 | − | 2.94687i | 0.129366 | − | 0.162220i | ||||
\(331\) | 10.7544 | − | 3.31730i | 0.591117 | − | 0.182336i | 0.0152570 | − | 0.999884i | \(-0.495143\pi\) |
0.575860 | + | 0.817548i | \(0.304667\pi\) | |||||||
\(332\) | 5.25810 | + | 13.3974i | 0.288576 | + | 0.735279i | ||||
\(333\) | 0.0344663 | − | 0.459920i | 0.00188874 | − | 0.0252035i | ||||
\(334\) | 9.29806 | − | 23.6911i | 0.508767 | − | 1.29632i | ||||
\(335\) | 0.484245 | + | 0.233200i | 0.0264571 | + | 0.0127411i | ||||
\(336\) | −5.65768 | + | 8.33713i | −0.308652 | + | 0.454828i | ||||
\(337\) | −9.10544 | + | 4.38495i | −0.496005 | + | 0.238863i | −0.665125 | − | 0.746732i | \(-0.731622\pi\) |
0.169120 | + | 0.985595i | \(0.445907\pi\) | |||||||
\(338\) | 0.178033 | + | 2.37569i | 0.00968373 | + | 0.129220i | ||||
\(339\) | 24.9075 | + | 7.68294i | 1.35279 | + | 0.417280i | ||||
\(340\) | −3.60863 | + | 2.46032i | −0.195705 | + | 0.133430i | ||||
\(341\) | 20.3571 | + | 3.06834i | 1.10240 | + | 0.166160i | ||||
\(342\) | 1.13595 | 0.0614250 | ||||||||
\(343\) | −18.0824 | − | 4.00344i | −0.976357 | − | 0.216166i | ||||
\(344\) | −42.0307 | −2.26614 | ||||||||
\(345\) | 3.08667 | + | 0.465240i | 0.166180 | + | 0.0250477i | ||||
\(346\) | 28.1298 | − | 19.1786i | 1.51227 | − | 1.03105i | ||||
\(347\) | −13.8333 | − | 4.26700i | −0.742609 | − | 0.229064i | −0.0997110 | − | 0.995016i | \(-0.531792\pi\) |
−0.642898 | + | 0.765952i | \(0.722268\pi\) | |||||||
\(348\) | −1.18896 | − | 15.8656i | −0.0637349 | − | 0.850483i | ||||
\(349\) | 16.2271 | − | 7.81454i | 0.868614 | − | 0.418303i | 0.0541613 | − | 0.998532i | \(-0.482751\pi\) |
0.814453 | + | 0.580230i | \(0.197037\pi\) | |||||||
\(350\) | −17.5168 | + | 25.8127i | −0.936315 | + | 1.37975i | ||||
\(351\) | 4.59028 | + | 2.21056i | 0.245011 | + | 0.117991i | ||||
\(352\) | 4.12858 | − | 10.5194i | 0.220054 | − | 0.560689i | ||||
\(353\) | −1.79599 | + | 23.9659i | −0.0955910 | + | 1.27557i | 0.718783 | + | 0.695234i | \(0.244699\pi\) |
−0.814375 | + | 0.580340i | \(0.802920\pi\) | |||||||
\(354\) | −16.9071 | − | 43.0787i | −0.898605 | − | 2.28961i | ||||
\(355\) | −0.545216 | + | 0.168177i | −0.0289370 | + | 0.00892589i | ||||
\(356\) | 7.76643 | − | 9.73880i | 0.411620 | − | 0.516155i | ||||
\(357\) | −16.6922 | + | 18.0684i | −0.883444 | + | 0.956282i | ||||
\(358\) | 20.5989 | + | 25.8302i | 1.08868 | + | 1.36517i | ||||
\(359\) | 27.1880 | + | 18.5365i | 1.43493 | + | 0.978319i | 0.996844 | + | 0.0793860i | \(0.0252960\pi\) |
0.438086 | + | 0.898933i | \(0.355656\pi\) | |||||||
\(360\) | −0.0737903 | − | 0.0684674i | −0.00388909 | − | 0.00360855i | ||||
\(361\) | 0.413340 | − | 0.715926i | 0.0217547 | − | 0.0376803i | ||||
\(362\) | −20.6951 | − | 35.8449i | −1.08771 | − | 1.88397i | ||||
\(363\) | 1.89417 | − | 8.29891i | 0.0994182 | − | 0.435580i | ||||
\(364\) | 0.0211157 | + | 9.72468i | 0.00110676 | + | 0.509712i | ||||
\(365\) | 0.399850 | + | 1.75186i | 0.0209291 | + | 0.0916963i | ||||
\(366\) | −44.8199 | + | 41.5867i | −2.34277 | + | 2.17377i | ||||
\(367\) | 28.0434 | − | 4.22686i | 1.46385 | − | 0.220640i | 0.631711 | − | 0.775204i | \(-0.282353\pi\) |
0.832141 | + | 0.554564i | \(0.187115\pi\) | |||||||
\(368\) | −16.7547 | + | 2.52536i | −0.873399 | + | 0.131644i | ||||
\(369\) | −0.933111 | + | 0.865800i | −0.0485758 | + | 0.0450718i | ||||
\(370\) | −0.492827 | − | 2.15922i | −0.0256209 | − | 0.112252i | ||||
\(371\) | −16.0707 | + | 12.8731i | −0.834348 | + | 0.668339i | ||||
\(372\) | 7.46662 | − | 32.7134i | 0.387126 | − | 1.69611i | ||||
\(373\) | 10.6033 | + | 18.3654i | 0.549016 | + | 0.950924i | 0.998342 | + | 0.0575561i | \(0.0183308\pi\) |
−0.449326 | + | 0.893368i | \(0.648336\pi\) | |||||||
\(374\) | −24.9751 | + | 43.2582i | −1.29143 | + | 2.23683i | ||||
\(375\) | −2.90059 | − | 2.69135i | −0.149786 | − | 0.138981i | ||||
\(376\) | 29.3762 | + | 20.0284i | 1.51496 | + | 1.03288i | ||||
\(377\) | −1.52990 | − | 1.91844i | −0.0787941 | − | 0.0988046i | ||||
\(378\) | 27.8457 | + | 15.9962i | 1.43223 | + | 0.822755i | ||||
\(379\) | −10.4063 | + | 13.0491i | −0.534538 | + | 0.670289i | −0.973625 | − | 0.228156i | \(-0.926731\pi\) |
0.439087 | + | 0.898445i | \(0.355302\pi\) | |||||||
\(380\) | 3.37570 | − | 1.04126i | 0.173170 | − | 0.0534157i | ||||
\(381\) | −7.75976 | − | 19.7715i | −0.397544 | − | 1.01293i | ||||
\(382\) | −3.56556 | + | 47.5791i | −0.182430 | + | 2.43436i | ||||
\(383\) | −2.19049 | + | 5.58128i | −0.111929 | + | 0.285190i | −0.975852 | − | 0.218434i | \(-0.929905\pi\) |
0.863923 | + | 0.503624i | \(0.168000\pi\) | |||||||
\(384\) | −32.9428 | − | 15.8644i | −1.68110 | − | 0.809577i | ||||
\(385\) | 0.348569 | − | 2.34718i | 0.0177647 | − | 0.119623i | ||||
\(386\) | 15.2451 | − | 7.34167i | 0.775957 | − | 0.373681i | ||||
\(387\) | −0.0880082 | − | 1.17439i | −0.00447371 | − | 0.0596975i | ||||
\(388\) | −18.0213 | − | 5.55884i | −0.914894 | − | 0.282207i | ||||
\(389\) | 1.78524 | − | 1.21715i | 0.0905151 | − | 0.0617122i | −0.517217 | − | 0.855854i | \(-0.673032\pi\) |
0.607732 | + | 0.794142i | \(0.292080\pi\) | |||||||
\(390\) | −0.936897 | − | 0.141215i | −0.0474416 | − | 0.00715068i | ||||
\(391\) | −41.3673 | −2.09203 | ||||||||
\(392\) | −1.96715 | + | 27.8736i | −0.0993561 | + | 1.40783i | ||||
\(393\) | 2.65170 | 0.133761 | ||||||||
\(394\) | 6.17925 | + | 0.931373i | 0.311306 | + | 0.0469219i | ||||
\(395\) | 3.26616 | − | 2.22683i | 0.164339 | − | 0.112044i | ||||
\(396\) | −1.56280 | − | 0.482061i | −0.0785339 | − | 0.0242245i | ||||
\(397\) | 1.78737 | + | 23.8508i | 0.0897055 | + | 1.19704i | 0.842469 | + | 0.538745i | \(0.181102\pi\) |
−0.752763 | + | 0.658291i | \(0.771279\pi\) | |||||||
\(398\) | 45.5163 | − | 21.9195i | 2.28153 | − | 1.09873i | ||||
\(399\) | 17.2092 | − | 9.98561i | 0.861537 | − | 0.499906i | ||||
\(400\) | 9.62617 | + | 4.63572i | 0.481309 | + | 0.231786i | ||||
\(401\) | 5.08334 | − | 12.9521i | 0.253850 | − | 0.646799i | −0.745966 | − | 0.665984i | \(-0.768012\pi\) |
0.999816 | + | 0.0191847i | \(0.00610706\pi\) | |||||||
\(402\) | 0.748705 | − | 9.99077i | 0.0373420 | − | 0.498294i | ||||
\(403\) | −1.89067 | − | 4.81734i | −0.0941808 | − | 0.239969i | ||||
\(404\) | 19.1377 | − | 5.90320i | 0.952137 | − | 0.293695i | ||||
\(405\) | −1.31052 | + | 1.64333i | −0.0651200 | + | 0.0816579i | ||||
\(406\) | −8.74026 | − | 12.7600i | −0.433772 | − | 0.633268i | ||||
\(407\) | −10.2275 | − | 12.8249i | −0.506960 | − | 0.635708i | ||||
\(408\) | 30.6650 | + | 20.9070i | 1.51814 | + | 1.03505i | ||||
\(409\) | −0.417284 | − | 0.387183i | −0.0206333 | − | 0.0191449i | 0.669789 | − | 0.742552i | \(-0.266385\pi\) |
−0.690422 | + | 0.723407i | \(0.742575\pi\) | |||||||
\(410\) | −3.05628 | + | 5.29364i | −0.150939 | + | 0.261434i | ||||
\(411\) | 6.46421 | + | 11.1963i | 0.318856 | + | 0.552275i | ||||
\(412\) | 2.72880 | − | 11.9556i | 0.134438 | − | 0.589013i | ||||
\(413\) | −22.8176 | − | 18.1155i | −1.12278 | − | 0.891405i | ||||
\(414\) | −0.465388 | − | 2.03900i | −0.0228726 | − | 0.100211i | ||||
\(415\) | −0.647132 | + | 0.600451i | −0.0317665 | + | 0.0294750i | ||||
\(416\) | −2.80896 | + | 0.423383i | −0.137721 | + | 0.0207581i | ||||
\(417\) | −16.3935 | + | 2.47092i | −0.802792 | + | 0.121001i | ||||
\(418\) | 29.6166 | − | 27.4802i | 1.44860 | − | 1.34410i | ||||
\(419\) | 3.24401 | + | 14.2129i | 0.158480 | + | 0.694347i | 0.990259 | + | 0.139239i | \(0.0444658\pi\) |
−0.831779 | + | 0.555108i | \(0.812677\pi\) | |||||||
\(420\) | −3.77248 | − | 0.852431i | −0.184078 | − | 0.0415944i | ||||
\(421\) | −2.37183 | + | 10.3917i | −0.115596 | + | 0.506458i | 0.883669 | + | 0.468113i | \(0.155066\pi\) |
−0.999265 | + | 0.0383455i | \(0.987791\pi\) | |||||||
\(422\) | 10.7445 | + | 18.6100i | 0.523035 | + | 0.905923i | ||||
\(423\) | −0.498106 | + | 0.862744i | −0.0242187 | + | 0.0419481i | ||||
\(424\) | 22.7737 | + | 21.1309i | 1.10599 | + | 1.02621i | ||||
\(425\) | 21.5522 | + | 14.6941i | 1.04544 | + | 0.712766i | ||||
\(426\) | 6.63122 | + | 8.31529i | 0.321284 | + | 0.402877i | ||||
\(427\) | −11.2658 | + | 36.8064i | −0.545191 | + | 1.78119i | ||||
\(428\) | 26.6505 | − | 33.4186i | 1.28820 | − | 1.61535i | ||||
\(429\) | −6.70581 | + | 2.06847i | −0.323760 | + | 0.0998666i | ||||
\(430\) | −2.06610 | − | 5.26434i | −0.0996362 | − | 0.253869i | ||||
\(431\) | 0.00185743 | − | 0.0247857i | 8.94695e−5 | − | 0.00119389i | −0.997159 | − | 0.0753270i | \(-0.976000\pi\) |
0.997248 | + | 0.0741331i | \(0.0236190\pi\) | |||||||
\(432\) | 4.01827 | − | 10.2384i | 0.193329 | − | 0.492594i | ||||
\(433\) | 21.6488 | + | 10.4255i | 1.04038 | + | 0.501019i | 0.874448 | − | 0.485119i | \(-0.161224\pi\) |
0.165928 | + | 0.986138i | \(0.446938\pi\) | |||||||
\(434\) | −9.68229 | − | 31.1489i | −0.464765 | − | 1.49520i | ||||
\(435\) | 0.879243 | − | 0.423421i | 0.0421565 | − | 0.0203015i | ||||
\(436\) | −4.06259 | − | 54.2115i | −0.194563 | − | 2.59626i | ||||
\(437\) | 31.9730 | + | 9.86238i | 1.52948 | + | 0.471782i | ||||
\(438\) | 27.6752 | − | 18.8687i | 1.32237 | − | 0.901579i | ||||
\(439\) | −5.44898 | − | 0.821302i | −0.260066 | − | 0.0391986i | 0.0177151 | − | 0.999843i | \(-0.494361\pi\) |
−0.277781 | + | 0.960644i | \(0.589599\pi\) | |||||||
\(440\) | −3.58020 | −0.170679 | ||||||||
\(441\) | −0.782942 | + | 0.00340010i | −0.0372829 | + | 0.000161909i | ||||
\(442\) | 12.5562 | 0.597239 | ||||||||
\(443\) | 19.2313 | + | 2.89865i | 0.913705 | + | 0.137719i | 0.589034 | − | 0.808108i | \(-0.299508\pi\) |
0.324671 | + | 0.945827i | \(0.394747\pi\) | |||||||
\(444\) | −22.0905 | + | 15.0610i | −1.04837 | + | 0.714766i | ||||
\(445\) | 0.730103 | + | 0.225207i | 0.0346102 | + | 0.0106758i | ||||
\(446\) | 0.890947 | + | 11.8889i | 0.0421876 | + | 0.562954i | ||||
\(447\) | −25.6572 | + | 12.3559i | −1.21354 | + | 0.584412i | ||||
\(448\) | −29.2416 | + | 2.25522i | −1.38154 | + | 0.106549i | ||||
\(449\) | −3.42848 | − | 1.65107i | −0.161800 | − | 0.0779187i | 0.351231 | − | 0.936289i | \(-0.385763\pi\) |
−0.513031 | + | 0.858370i | \(0.671477\pi\) | |||||||
\(450\) | −0.481806 | + | 1.22762i | −0.0227125 | + | 0.0578706i | ||||
\(451\) | −3.38327 | + | 45.1466i | −0.159312 | + | 2.12587i | ||||
\(452\) | −19.8419 | − | 50.5563i | −0.933283 | − | 2.37797i | ||||
\(453\) | −0.895447 | + | 0.276209i | −0.0420718 | + | 0.0129774i | ||||
\(454\) | −1.69255 | + | 2.12239i | −0.0794353 | + | 0.0996087i | ||||
\(455\) | −0.554784 | + | 0.219128i | −0.0260087 | + | 0.0102729i | ||||
\(456\) | −18.7167 | − | 23.4700i | −0.876491 | − | 1.09908i | ||||
\(457\) | −11.2209 | − | 7.65027i | −0.524891 | − | 0.357865i | 0.271701 | − | 0.962382i | \(-0.412414\pi\) |
−0.796592 | + | 0.604517i | \(0.793366\pi\) | |||||||
\(458\) | 26.6866 | + | 24.7615i | 1.24698 | + | 1.15703i | ||||
\(459\) | 13.4262 | − | 23.2549i | 0.626681 | − | 1.08544i | ||||
\(460\) | −3.25204 | − | 5.63269i | −0.151627 | − | 0.262626i | ||||
\(461\) | 2.38556 | − | 10.4518i | 0.111106 | − | 0.486789i | −0.888504 | − | 0.458869i | \(-0.848255\pi\) |
0.999610 | − | 0.0279198i | \(-0.00888829\pi\) | |||||||
\(462\) | −43.1021 | + | 9.93629i | −2.00529 | + | 0.462278i | ||||
\(463\) | −2.39826 | − | 10.5075i | −0.111457 | − | 0.488323i | −0.999587 | − | 0.0287321i | \(-0.990853\pi\) |
0.888131 | − | 0.459591i | \(-0.152004\pi\) | |||||||
\(464\) | −3.88312 | + | 3.60301i | −0.180269 | + | 0.167265i | ||||
\(465\) | 2.03518 | − | 0.306754i | 0.0943792 | − | 0.0142254i | ||||
\(466\) | 27.0194 | − | 4.07252i | 1.25165 | − | 0.188656i | ||||
\(467\) | 7.71107 | − | 7.15482i | 0.356826 | − | 0.331086i | −0.481307 | − | 0.876552i | \(-0.659838\pi\) |
0.838133 | + | 0.545466i | \(0.183647\pi\) | |||||||
\(468\) | 0.0914816 | + | 0.400807i | 0.00422874 | + | 0.0185273i | ||||
\(469\) | −2.74900 | − | 5.67680i | −0.126937 | − | 0.262130i | ||||
\(470\) | −1.06450 | + | 4.66390i | −0.0491019 | + | 0.215130i | ||||
\(471\) | −7.74407 | − | 13.4131i | −0.356828 | − | 0.618044i | ||||
\(472\) | −21.9786 | + | 38.0681i | −1.01165 | + | 1.75223i | ||||
\(473\) | −30.7047 | − | 28.4898i | −1.41181 | − | 1.30996i | ||||
\(474\) | −60.8832 | − | 41.5095i | −2.79646 | − | 1.90659i | ||||
\(475\) | −13.1546 | − | 16.4954i | −0.603576 | − | 0.756861i | ||||
\(476\) | 51.1192 | + | 3.71925i | 2.34304 | + | 0.170472i | ||||
\(477\) | −0.542738 | + | 0.680572i | −0.0248503 | + | 0.0311613i | ||||
\(478\) | −22.4393 | + | 6.92161i | −1.02635 | + | 0.316587i | ||||
\(479\) | −4.71564 | − | 12.0152i | −0.215463 | − | 0.548991i | 0.781751 | − | 0.623591i | \(-0.214327\pi\) |
−0.997213 | + | 0.0746006i | \(0.976232\pi\) | |||||||
\(480\) | 0.0844275 | − | 1.12661i | 0.00385357 | − | 0.0514223i | ||||
\(481\) | −1.50647 | + | 3.83843i | −0.0686893 | + | 0.175018i | ||||
\(482\) | 49.9518 | + | 24.0555i | 2.27524 | + | 1.09570i | ||||
\(483\) | −24.9744 | − | 26.7990i | −1.13637 | − | 1.21940i | ||||
\(484\) | −15.9800 | + | 7.69555i | −0.726363 | + | 0.349798i | ||||
\(485\) | −0.0864462 | − | 1.15354i | −0.00392532 | − | 0.0523798i | ||||
\(486\) | 2.64480 | + | 0.815813i | 0.119971 | + | 0.0370060i | ||||
\(487\) | 16.1301 | − | 10.9973i | 0.730925 | − | 0.498337i | −0.139755 | − | 0.990186i | \(-0.544631\pi\) |
0.870680 | + | 0.491850i | \(0.163679\pi\) | |||||||
\(488\) | 57.4271 | + | 8.65574i | 2.59960 | + | 0.391827i | ||||
\(489\) | 22.5533 | 1.01990 | ||||||||
\(490\) | −3.58787 | + | 1.12380i | −0.162083 | + | 0.0507680i | ||||
\(491\) | 39.4607 | 1.78084 | 0.890418 | − | 0.455144i | \(-0.150412\pi\) | ||||
0.890418 | + | 0.455144i | \(0.150412\pi\) | |||||||
\(492\) | 72.9662 | + | 10.9979i | 3.28957 | + | 0.495823i | ||||
\(493\) | −10.6855 | + | 7.28524i | −0.481250 | + | 0.328111i | ||||
\(494\) | −9.70480 | − | 2.99353i | −0.436640 | − | 0.134685i | ||||
\(495\) | −0.00749660 | − | 0.100035i | −0.000336947 | − | 0.00449625i | ||||
\(496\) | −10.0656 | + | 4.84731i | −0.451957 | + | 0.217651i | ||||
\(497\) | 6.23818 | + | 2.43269i | 0.279821 | + | 0.109121i | ||||
\(498\) | 14.8261 | + | 7.13989i | 0.664375 | + | 0.319946i | ||||
\(499\) | −8.82431 | + | 22.4840i | −0.395030 | + | 1.00652i | 0.585591 | + | 0.810607i | \(0.300863\pi\) |
−0.980621 | + | 0.195914i | \(0.937233\pi\) | |||||||
\(500\) | −0.616119 | + | 8.22154i | −0.0275537 | + | 0.367679i | ||||
\(501\) | −6.88487 | − | 17.5424i | −0.307594 | − | 0.783736i | ||||
\(502\) | −15.0639 | + | 4.64659i | −0.672334 | + | 0.207387i | ||||
\(503\) | 21.4473 | − | 26.8941i | 0.956289 | − | 1.19915i | −0.0236238 | − | 0.999721i | \(-0.507520\pi\) |
0.979913 | − | 0.199427i | \(-0.0639082\pi\) | |||||||
\(504\) | 0.178599 | + | 1.16772i | 0.00795542 | + | 0.0520142i | ||||
\(505\) | 0.765920 | + | 0.960434i | 0.0340830 | + | 0.0427387i | ||||
\(506\) | −61.4600 | − | 41.9027i | −2.73223 | − | 1.86280i | ||||
\(507\) | 1.29314 | + | 1.19985i | 0.0574302 | + | 0.0532874i | ||||
\(508\) | −22.1278 | + | 38.3264i | −0.981761 | + | 1.70046i | ||||
\(509\) | −5.87964 | − | 10.1838i | −0.260610 | − | 0.451390i | 0.705794 | − | 0.708417i | \(-0.250590\pi\) |
−0.966404 | + | 0.257027i | \(0.917257\pi\) | |||||||
\(510\) | −1.11121 | + | 4.86852i | −0.0492051 | + | 0.215581i | ||||
\(511\) | 9.10814 | − | 19.0188i | 0.402920 | − | 0.841341i | ||||
\(512\) | 5.19979 | + | 22.7818i | 0.229800 | + | 1.00682i | ||||
\(513\) | −15.9214 | + | 14.7729i | −0.702946 | + | 0.652239i | ||||
\(514\) | 15.7034 | − | 2.36690i | 0.692647 | − | 0.104400i | ||||
\(515\) | 0.743790 | − | 0.112108i | 0.0327753 | − | 0.00494008i | ||||
\(516\) | −50.0454 | + | 46.4353i | −2.20312 | + | 2.04420i | ||||
\(517\) | 7.88434 | + | 34.5435i | 0.346753 | + | 1.51922i | ||||
\(518\) | −11.2261 | + | 23.4412i | −0.493245 | + | 1.02995i | ||||
\(519\) | 5.60965 | − | 24.5775i | 0.246236 | − | 1.07883i | ||||
\(520\) | 0.449986 | + | 0.779399i | 0.0197332 | + | 0.0341789i | ||||
\(521\) | −2.49620 | + | 4.32355i | −0.109361 | + | 0.189418i | −0.915511 | − | 0.402292i | \(-0.868214\pi\) |
0.806151 | + | 0.591710i | \(0.201547\pi\) | |||||||
\(522\) | −0.479303 | − | 0.444729i | −0.0209785 | − | 0.0194652i | ||||
\(523\) | −1.55609 | − | 1.06092i | −0.0680430 | − | 0.0463909i | 0.528821 | − | 0.848733i | \(-0.322634\pi\) |
−0.596864 | + | 0.802343i | \(0.703587\pi\) | |||||||
\(524\) | −3.44486 | − | 4.31972i | −0.150490 | − | 0.188708i | ||||
\(525\) | 3.49230 | + | 22.8333i | 0.152416 | + | 0.996529i | ||||
\(526\) | 9.19580 | − | 11.5312i | 0.400956 | − | 0.502783i | ||||
\(527\) | −26.0636 | + | 8.03955i | −1.13535 | + | 0.350208i | ||||
\(528\) | 5.53474 | + | 14.1023i | 0.240869 | + | 0.613723i | ||||
\(529\) | 2.88485 | − | 38.4957i | 0.125428 | − | 1.67372i | ||||
\(530\) | −1.52716 | + | 3.89114i | −0.0663356 | + | 0.169020i | ||||
\(531\) | −1.10969 | − | 0.534399i | −0.0481565 | − | 0.0231909i | ||||
\(532\) | −38.6236 | − | 15.0620i | −1.67455 | − | 0.653019i | ||||
\(533\) | 10.2535 | − | 4.93783i | 0.444129 | − | 0.213881i | ||||
\(534\) | −1.06433 | − | 14.2025i | −0.0460580 | − | 0.614601i | ||||
\(535\) | 2.50534 | + | 0.772796i | 0.108315 | + | 0.0334109i | ||||
\(536\) | −7.86284 | + | 5.36080i | −0.339623 | + | 0.231551i | ||||
\(537\) | 24.1902 | + | 3.64609i | 1.04388 | + | 0.157340i | ||||
\(538\) | −19.5754 | −0.843954 | ||||||||
\(539\) | −20.3307 | + | 19.0291i | −0.875707 | + | 0.819643i | ||||
\(540\) | 4.22194 | 0.181683 | ||||||||
\(541\) | 8.14841 | + | 1.22818i | 0.350328 | + | 0.0528034i | 0.321849 | − | 0.946791i | \(-0.395696\pi\) |
0.0284786 | + | 0.999594i | \(0.490934\pi\) | |||||||
\(542\) | 55.0097 | − | 37.5050i | 2.36287 | − | 1.61098i | ||||
\(543\) | −29.2863 | − | 9.03362i | −1.25679 | − | 0.387670i | ||||
\(544\) | 1.11885 | + | 14.9301i | 0.0479705 | + | 0.640122i | ||||
\(545\) | 3.00431 | − | 1.44680i | 0.128691 | − | 0.0619741i | ||||
\(546\) | 7.58049 | + | 8.13433i | 0.324415 | + | 0.348117i | ||||
\(547\) | 2.95651 | + | 1.42378i | 0.126411 | + | 0.0608765i | 0.496020 | − | 0.868311i | \(-0.334794\pi\) |
−0.369609 | + | 0.929187i | \(0.620508\pi\) | |||||||
\(548\) | 9.84152 | − | 25.0758i | 0.420409 | − | 1.07118i | ||||
\(549\) | −0.121605 | + | 1.62271i | −0.00518998 | + | 0.0692555i | ||||
\(550\) | 17.1362 | + | 43.6623i | 0.730690 | + | 1.86177i | ||||
\(551\) | 9.99576 | − | 3.08328i | 0.425834 | − | 0.131352i | ||||
\(552\) | −34.4600 | + | 43.2115i | −1.46672 | + | 1.83920i | ||||
\(553\) | −46.2679 | − | 3.36629i | −1.96751 | − | 0.143149i | ||||
\(554\) | −34.0784 | − | 42.7330i | −1.44785 | − | 1.81555i | ||||
\(555\) | −1.35498 | − | 0.923811i | −0.0575158 | − | 0.0392136i | ||||
\(556\) | 25.3222 | + | 23.4956i | 1.07390 | + | 0.996435i | ||||
\(557\) | 4.94066 | − | 8.55748i | 0.209343 | − | 0.362592i | −0.742165 | − | 0.670217i | \(-0.766201\pi\) |
0.951508 | + | 0.307625i | \(0.0995343\pi\) | |||||||
\(558\) | −0.689489 | − | 1.19423i | −0.0291884 | − | 0.0505558i | ||||
\(559\) | −2.34295 | + | 10.2651i | −0.0990963 | + | 0.434169i | ||||
\(560\) | 0.561231 | + | 1.15896i | 0.0237163 | + | 0.0489752i | ||||
\(561\) | 8.23024 | + | 36.0590i | 0.347481 | + | 1.52241i | ||||
\(562\) | 29.0433 | − | 26.9483i | 1.22512 | − | 1.13674i | ||||
\(563\) | −32.3206 | + | 4.87155i | −1.36215 | + | 0.205311i | −0.789129 | − | 0.614228i | \(-0.789468\pi\) |
−0.573023 | + | 0.819539i | \(0.694230\pi\) | |||||||
\(564\) | 57.1051 | − | 8.60720i | 2.40456 | − | 0.362429i | ||||
\(565\) | 2.44201 | − | 2.26585i | 0.102736 | − | 0.0953251i | ||||
\(566\) | 10.5522 | + | 46.2323i | 0.443543 | + | 1.94329i | ||||
\(567\) | 24.0360 | − | 5.54100i | 1.00942 | − | 0.232700i | ||||
\(568\) | 2.24799 | − | 9.84908i | 0.0943235 | − | 0.413258i | ||||
\(569\) | −8.58860 | − | 14.8759i | −0.360053 | − | 0.623630i | 0.627916 | − | 0.778281i | \(-0.283908\pi\) |
−0.987969 | + | 0.154651i | \(0.950575\pi\) | |||||||
\(570\) | 2.01956 | − | 3.49798i | 0.0845901 | − | 0.146514i | ||||
\(571\) | 31.2998 | + | 29.0420i | 1.30986 | + | 1.21537i | 0.960468 | + | 0.278390i | \(0.0898006\pi\) |
0.349387 | + | 0.936979i | \(0.386390\pi\) | |||||||
\(572\) | 12.0812 | + | 8.23684i | 0.505142 | + | 0.344400i | ||||
\(573\) | 22.0275 | + | 27.6216i | 0.920212 | + | 1.15391i | ||||
\(574\) | 66.7171 | − | 26.3519i | 2.78472 | − | 1.09991i | ||||
\(575\) | −24.2195 | + | 30.3703i | −1.01002 | + | 1.26653i | ||||
\(576\) | −1.18478 | + | 0.365457i | −0.0493660 | + | 0.0152274i | ||||
\(577\) | 6.64132 | + | 16.9218i | 0.276482 | + | 0.704464i | 0.999901 | + | 0.0140555i | \(0.00447415\pi\) |
−0.723419 | + | 0.690409i | \(0.757431\pi\) | |||||||
\(578\) | 1.91892 | − | 25.6062i | 0.0798166 | − | 1.06508i | ||||
\(579\) | 4.57745 | − | 11.6631i | 0.190232 | − | 0.484704i | ||||
\(580\) | −1.83201 | − | 0.882248i | −0.0760699 | − | 0.0366334i | ||||
\(581\) | 10.3291 | − | 0.796621i | 0.428525 | − | 0.0330494i | ||||
\(582\) | −19.4276 | + | 9.35586i | −0.805302 | + | 0.387813i | ||||
\(583\) | 2.31366 | + | 30.8736i | 0.0958220 | + | 1.27866i | ||||
\(584\) | −30.4024 | − | 9.37791i | −1.25806 | − | 0.388061i | ||||
\(585\) | −0.0208351 | + | 0.0142051i | −0.000861426 | + | 0.000587311i | ||||
\(586\) | −1.65150 | − | 0.248923i | −0.0682228 | − | 0.0102829i | ||||
\(587\) | −8.33594 | −0.344061 | −0.172031 | − | 0.985092i | \(-0.555033\pi\) | ||||
−0.172031 | + | 0.985092i | \(0.555033\pi\) | |||||||
\(588\) | 28.4524 | + | 35.3620i | 1.17336 | + | 1.45831i | ||||
\(589\) | 22.0614 | 0.909025 | ||||||||
\(590\) | −5.84843 | − | 0.881510i | −0.240776 | − | 0.0362912i | ||||
\(591\) | 3.82317 | − | 2.60659i | 0.157264 | − | 0.107221i | ||||
\(592\) | 8.50625 | + | 2.62383i | 0.349605 | + | 0.107839i | ||||
\(593\) | 0.985911 | + | 13.1561i | 0.0404865 | + | 0.540255i | 0.980163 | + | 0.198191i | \(0.0635068\pi\) |
−0.939677 | + | 0.342064i | \(0.888874\pi\) | |||||||
\(594\) | 43.5033 | − | 20.9501i | 1.78496 | − | 0.859593i | ||||
\(595\) | 0.933179 | + | 3.00213i | 0.0382566 | + | 0.123075i | ||||
\(596\) | 53.4598 | + | 25.7449i | 2.18980 | + | 1.05455i | ||||
\(597\) | 13.6666 | − | 34.8219i | 0.559336 | − | 1.42516i | ||||
\(598\) | −1.39735 | + | 18.6463i | −0.0571418 | + | 0.762504i | ||||
\(599\) | −6.78869 | − | 17.2973i | −0.277378 | − | 0.706749i | −0.999882 | − | 0.0153812i | \(-0.995104\pi\) |
0.722503 | − | 0.691368i | \(-0.242991\pi\) | |||||||
\(600\) | 33.3027 | − | 10.2725i | 1.35958 | − | 0.419374i | ||||
\(601\) | −10.3293 | + | 12.9525i | −0.421339 | + | 0.528343i | −0.946519 | − | 0.322649i | \(-0.895427\pi\) |
0.525179 | + | 0.850992i | \(0.323998\pi\) | |||||||
\(602\) | −19.4240 | + | 63.4601i | −0.791665 | + | 2.58644i | ||||
\(603\) | −0.166251 | − | 0.208472i | −0.00677027 | − | 0.00848965i | ||||
\(604\) | 1.61324 | + | 1.09989i | 0.0656419 | + | 0.0447539i | ||||
\(605\) | −0.797497 | − | 0.739969i | −0.0324228 | − | 0.0300840i | ||||
\(606\) | 11.4494 | − | 19.8310i | 0.465101 | − | 0.805579i | ||||
\(607\) | 3.23629 | + | 5.60542i | 0.131357 | + | 0.227517i | 0.924200 | − | 0.381909i | \(-0.124733\pi\) |
−0.792843 | + | 0.609426i | \(0.791400\pi\) | |||||||
\(608\) | 2.69471 | − | 11.8063i | 0.109285 | − | 0.478809i | ||||
\(609\) | −11.1707 | − | 2.52413i | −0.452659 | − | 0.102283i | ||||
\(610\) | 1.73881 | + | 7.61823i | 0.0704024 | + | 0.308453i | ||||
\(611\) | 6.52906 | − | 6.05808i | 0.264138 | − | 0.245084i | ||||
\(612\) | 2.14259 | − | 0.322943i | 0.0866090 | − | 0.0130542i | ||||
\(613\) | −43.1977 | + | 6.51100i | −1.74474 | + | 0.262977i | −0.942543 | − | 0.334085i | \(-0.891573\pi\) |
−0.802195 | + | 0.597062i | \(0.796335\pi\) | |||||||
\(614\) | −2.98309 | + | 2.76790i | −0.120388 | + | 0.111703i | ||||
\(615\) | 1.00716 | + | 4.41265i | 0.0406126 | + | 0.177935i | ||||
\(616\) | 32.9052 | + | 26.1243i | 1.32579 | + | 1.05258i | ||||
\(617\) | 6.03918 | − | 26.4594i | 0.243128 | − | 1.06521i | −0.695023 | − | 0.718988i | \(-0.744606\pi\) |
0.938151 | − | 0.346226i | \(-0.112537\pi\) | |||||||
\(618\) | −7.01065 | − | 12.1428i | −0.282010 | − | 0.488455i | ||||
\(619\) | −13.5603 | + | 23.4872i | −0.545035 | + | 0.944029i | 0.453569 | + | 0.891221i | \(0.350150\pi\) |
−0.998605 | + | 0.0528079i | \(0.983183\pi\) | |||||||
\(620\) | −3.14365 | − | 2.91688i | −0.126252 | − | 0.117145i | ||||
\(621\) | 33.0398 | + | 22.5262i | 1.32584 | + | 0.903944i | ||||
\(622\) | 2.48340 | + | 3.11409i | 0.0995754 | + | 0.124864i | ||||
\(623\) | −5.06698 | − | 7.39733i | −0.203004 | − | 0.296368i | ||||
\(624\) | 2.37438 | − | 2.97738i | 0.0950512 | − | 0.119190i | ||||
\(625\) | 23.1632 | − | 7.14491i | 0.926529 | − | 0.285796i | ||||
\(626\) | 3.97852 | + | 10.1371i | 0.159014 | + | 0.405160i | ||||
\(627\) | 2.23563 | − | 29.8324i | 0.0892825 | − | 1.19139i | ||||
\(628\) | −11.7900 | + | 30.0405i | −0.470474 | + | 1.19875i | ||||
\(629\) | 19.5806 | + | 9.42954i | 0.780732 | + | 0.375980i | ||||
\(630\) | −0.137477 | + | 0.0797709i | −0.00547721 | + | 0.00317815i | ||||
\(631\) | 4.53250 | − | 2.18274i | 0.180436 | − | 0.0868933i | −0.341485 | − | 0.939887i | \(-0.610930\pi\) |
0.521921 | + | 0.852994i | \(0.325216\pi\) | |||||||
\(632\) | 5.23054 | + | 69.7967i | 0.208060 | + | 2.77637i | ||||
\(633\) | 15.2049 | + | 4.69010i | 0.604341 | + | 0.186415i | ||||
\(634\) | −60.7599 | + | 41.4254i | −2.41308 | + | 1.64521i | ||||
\(635\) | −2.68422 | − | 0.404580i | −0.106520 | − | 0.0160553i | ||||
\(636\) | 50.4617 | 2.00094 | ||||||||
\(637\) | 6.69791 | + | 2.03422i | 0.265381 | + | 0.0805987i | ||||
\(638\) | −23.2551 | −0.920679 | ||||||||
\(639\) | 0.279902 | + | 0.0421885i | 0.0110728 | + | 0.00166895i | ||||
\(640\) | −3.86102 | + | 2.63240i | −0.152620 | + | 0.104055i | ||||
\(641\) | 43.8011 | + | 13.5108i | 1.73004 | + | 0.533646i | 0.990263 | − | 0.139208i | \(-0.0444556\pi\) |
0.739775 | + | 0.672854i | \(0.234932\pi\) | |||||||
\(642\) | −3.65224 | − | 48.7357i | −0.144142 | − | 1.92344i | ||||
\(643\) | 21.8457 | − | 10.5204i | 0.861512 | − | 0.414882i | 0.0496741 | − | 0.998765i | \(-0.484182\pi\) |
0.811838 | + | 0.583883i | \(0.198467\pi\) | |||||||
\(644\) | −11.2121 | + | 75.4992i | −0.441818 | + | 2.97509i | ||||
\(645\) | −3.77282 | − | 1.81690i | −0.148555 | − | 0.0715402i | ||||
\(646\) | −19.5558 | + | 49.8273i | −0.769412 | + | 1.96043i | ||||
\(647\) | −0.773496 | + | 10.3216i | −0.0304093 | + | 0.405783i | 0.961141 | + | 0.276059i | \(0.0890284\pi\) |
−0.991550 | + | 0.129725i | \(0.958591\pi\) | |||||||
\(648\) | −13.5966 | − | 34.6435i | −0.534124 | − | 1.36093i | ||||
\(649\) | −41.8600 | + | 12.9121i | −1.64315 | + | 0.506844i | ||||
\(650\) | 7.35136 | − | 9.21831i | 0.288344 | − | 0.361572i | ||||
\(651\) | −20.9435 | − | 12.0312i | −0.820839 | − | 0.471538i | ||||
\(652\) | −29.2994 | − | 36.7403i | −1.14745 | − | 1.43886i | ||||
\(653\) | −30.8485 | − | 21.0322i | −1.20720 | − | 0.823052i | −0.218922 | − | 0.975742i | \(-0.570254\pi\) |
−0.988274 | + | 0.152690i | \(0.951206\pi\) | |||||||
\(654\) | −45.5648 | − | 42.2780i | −1.78172 | − | 1.65320i | ||||
\(655\) | 0.169450 | − | 0.293495i | 0.00662094 | − | 0.0114678i | ||||
\(656\) | −12.2841 | − | 21.2767i | −0.479615 | − | 0.830717i | ||||
\(657\) | 0.198370 | − | 0.869118i | 0.00773917 | − | 0.0339075i | ||||
\(658\) | 43.8157 | − | 35.0978i | 1.70812 | − | 1.36825i | ||||
\(659\) | −0.416794 | − | 1.82610i | −0.0162360 | − | 0.0711346i | 0.966161 | − | 0.257940i | \(-0.0830437\pi\) |
−0.982397 | + | 0.186806i | \(0.940187\pi\) | |||||||
\(660\) | −4.26290 | + | 3.95539i | −0.165933 | + | 0.153963i | ||||
\(661\) | −27.7113 | + | 4.17681i | −1.07785 | + | 0.162459i | −0.663885 | − | 0.747835i | \(-0.731093\pi\) |
−0.413962 | + | 0.910294i | \(0.635855\pi\) | |||||||
\(662\) | −26.5126 | + | 3.99612i | −1.03044 | + | 0.155314i | ||||
\(663\) | 6.81550 | − | 6.32386i | 0.264692 | − | 0.245599i | ||||
\(664\) | −3.47815 | − | 15.2388i | −0.134978 | − | 0.591379i | ||||
\(665\) | −0.00552141 | − | 2.54285i | −0.000214111 | − | 0.0986074i | ||||
\(666\) | −0.244498 | + | 1.07122i | −0.00947410 | + | 0.0415088i | ||||
\(667\) | −9.62959 | − | 16.6789i | −0.372859 | − | 0.645811i | ||||
\(668\) | −19.6330 | + | 34.0053i | −0.759622 | + | 1.31570i | ||||
\(669\) | 6.47135 | + | 6.00453i | 0.250197 | + | 0.232149i | ||||
\(670\) | −1.05795 | − | 0.721300i | −0.0408723 | − | 0.0278663i | ||||
\(671\) | 36.0851 | + | 45.2493i | 1.39305 | + | 1.74683i | ||||
\(672\) | −8.99670 | + | 9.73846i | −0.347055 | + | 0.375669i | ||||
\(673\) | −6.62773 | + | 8.31091i | −0.255480 | + | 0.320362i | −0.892987 | − | 0.450083i | \(-0.851394\pi\) |
0.637507 | + | 0.770445i | \(0.279966\pi\) | |||||||
\(674\) | 23.0070 | − | 7.09673i | 0.886198 | − | 0.273356i | ||||
\(675\) | −9.21213 | − | 23.4721i | −0.354575 | − | 0.903442i | ||||
\(676\) | 0.274677 | − | 3.66531i | 0.0105645 | − | 0.140974i | ||||
\(677\) | −4.42114 | + | 11.2649i | −0.169918 | + | 0.432945i | −0.990313 | − | 0.138853i | \(-0.955659\pi\) |
0.820395 | + | 0.571798i | \(0.193754\pi\) | |||||||
\(678\) | −55.9476 | − | 26.9430i | −2.14866 | − | 1.03474i | ||||
\(679\) | −7.62278 | + | 11.2329i | −0.292535 | + | 0.431079i | ||||
\(680\) | 4.27359 | − | 2.05805i | 0.163885 | − | 0.0789227i | ||||
\(681\) | 0.150214 | + | 2.00447i | 0.00575622 | + | 0.0768114i | ||||
\(682\) | −46.8667 | − | 14.4565i | −1.79462 | − | 0.553566i | ||||
\(683\) | −16.6323 | + | 11.3397i | −0.636417 | + | 0.433902i | −0.838076 | − | 0.545554i | \(-0.816319\pi\) |
0.201659 | + | 0.979456i | \(0.435367\pi\) | |||||||
\(684\) | −1.73301 | − | 0.261210i | −0.0662634 | − | 0.00998760i | ||||
\(685\) | 1.65231 | 0.0631315 | ||||||||
\(686\) | 41.1759 | + | 15.8516i | 1.57210 | + | 0.605217i | ||||
\(687\) | 26.9564 | 1.02845 | ||||||||
\(688\) | 22.4763 | + | 3.38776i | 0.856903 | + | 0.129157i | ||||
\(689\) | 6.43030 | − | 4.38410i | 0.244975 | − | 0.167021i | ||||
\(690\) | −7.10619 | − | 2.19197i | −0.270528 | − | 0.0834469i | ||||
\(691\) | 0.532483 | + | 7.10549i | 0.0202566 | + | 0.270305i | 0.998131 | + | 0.0611122i | \(0.0194647\pi\) |
−0.977874 | + | 0.209193i | \(0.932916\pi\) | |||||||
\(692\) | −47.3252 | + | 22.7906i | −1.79904 | + | 0.866370i | ||||
\(693\) | −0.661046 | + | 0.974114i | −0.0251110 | + | 0.0370035i | ||||
\(694\) | 31.0725 | + | 14.9637i | 1.17950 | + | 0.568016i | ||||
\(695\) | −0.774094 | + | 1.97236i | −0.0293630 | + | 0.0748158i | ||||
\(696\) | −1.29126 | + | 17.2307i | −0.0489451 | + | 0.653127i | ||||
\(697\) | −21.9137 | − | 55.8352i | −0.830040 | − | 2.11491i | ||||
\(698\) | −41.0015 | + | 12.6473i | −1.55193 | + | 0.478706i | ||||
\(699\) | 12.6150 | − | 15.8187i | 0.477143 | − | 0.598318i | ||||
\(700\) | 32.6595 | − | 35.3522i | 1.23441 | − | 1.33619i | ||||
\(701\) | 12.3510 | + | 15.4876i | 0.466490 | + | 0.584960i | 0.958308 | − | 0.285738i | \(-0.0922388\pi\) |
−0.491818 | + | 0.870698i | \(0.663667\pi\) | |||||||
\(702\) | −10.0286 | − | 6.83738i | −0.378505 | − | 0.258060i | ||||
\(703\) | −12.8859 | − | 11.9564i | −0.486001 | − | 0.450943i | ||||
\(704\) | −22.0490 | + | 38.1899i | −0.831002 | + | 1.43934i | ||||
\(705\) | 1.77113 | + | 3.06769i | 0.0667046 | + | 0.115536i | ||||
\(706\) | 12.7405 | − | 55.8196i | 0.479494 | − | 2.10080i | ||||
\(707\) | −0.0313024 | − | 14.4161i | −0.00117725 | − | 0.542172i | ||||
\(708\) | 15.8878 | + | 69.6091i | 0.597101 | + | 2.61607i | ||||
\(709\) | 25.7828 | − | 23.9229i | 0.968294 | − | 0.898445i | −0.0265723 | − | 0.999647i | \(-0.508459\pi\) |
0.994866 | + | 0.101202i | \(0.0322687\pi\) | |||||||
\(710\) | 1.34410 | − | 0.202591i | 0.0504432 | − | 0.00760309i | ||||
\(711\) | −1.93925 | + | 0.292296i | −0.0727277 | + | 0.0109619i | ||||
\(712\) | −9.91685 | + | 9.20149i | −0.371650 | + | 0.344840i | ||||
\(713\) | −9.03838 | − | 39.5997i | −0.338490 | − | 1.48302i | ||||
\(714\) | 45.7380 | − | 36.6376i | 1.71170 | − | 1.37113i | ||||
\(715\) | −0.199574 | + | 0.874391i | −0.00746365 | + | 0.0327004i | ||||
\(716\) | −25.4862 | − | 44.1435i | −0.952465 | − | 1.64972i | ||||
\(717\) | −8.69399 | + | 15.0584i | −0.324683 | + | 0.562368i | ||||
\(718\) | −57.4662 | − | 53.3209i | −2.14462 | − | 1.98992i | ||||
\(719\) | −12.7610 | − | 8.70031i | −0.475905 | − | 0.324467i | 0.301501 | − | 0.953466i | \(-0.402512\pi\) |
−0.777406 | + | 0.628999i | \(0.783465\pi\) | |||||||
\(720\) | 0.0339415 | + | 0.0425613i | 0.00126493 | + | 0.00158617i | ||||
\(721\) | −7.65413 | − | 4.39698i | −0.285055 | − | 0.163752i | ||||
\(722\) | −1.22793 | + | 1.53977i | −0.0456987 | + | 0.0573044i | ||||
\(723\) | 39.2292 | − | 12.1006i | 1.45895 | − | 0.450026i | ||||
\(724\) | 23.3301 | + | 59.4442i | 0.867057 | + | 2.20923i | ||||
\(725\) | −0.907534 | + | 12.1102i | −0.0337050 | + | 0.449761i | ||||
\(726\) | −7.40888 | + | 18.8775i | −0.274969 | + | 0.700610i | ||||
\(727\) | −38.0131 | − | 18.3061i | −1.40983 | − | 0.678937i | −0.434699 | − | 0.900576i | \(-0.643145\pi\) |
−0.975129 | + | 0.221638i | \(0.928860\pi\) | |||||||
\(728\) | 1.55142 | − | 10.4469i | 0.0574995 | − | 0.387187i | ||||
\(729\) | −23.3528 | + | 11.2461i | −0.864920 | + | 0.416523i | ||||
\(730\) | −0.319909 | − | 4.26889i | −0.0118404 | − | 0.157999i | ||||
\(731\) | 53.0286 | + | 16.3572i | 1.96133 | + | 0.604991i | ||||
\(732\) | 77.9405 | − | 53.1389i | 2.88076 | − | 1.96407i | ||||
\(733\) | −10.7709 | − | 1.62346i | −0.397833 | − | 0.0599637i | −0.0529212 | − | 0.998599i | \(-0.516853\pi\) |
−0.344912 | + | 0.938635i | \(0.612091\pi\) | |||||||
\(734\) | −67.5637 | −2.49382 | ||||||||
\(735\) | −1.38150 | + | 2.41700i | −0.0509572 | + | 0.0891524i | ||||
\(736\) | −22.2960 | −0.821842 | ||||||||
\(737\) | −9.37778 | − | 1.41347i | −0.345435 | − | 0.0520660i | ||||
\(738\) | 2.50559 | − | 1.70828i | 0.0922319 | − | 0.0628827i | ||||
\(739\) | −47.0476 | − | 14.5123i | −1.73067 | − | 0.533842i | −0.740302 | − | 0.672274i | \(-0.765318\pi\) |
−0.990372 | + | 0.138432i | \(0.955794\pi\) | |||||||
\(740\) | 0.255353 | + | 3.40745i | 0.00938697 | + | 0.125260i | ||||
\(741\) | −6.77542 | + | 3.26287i | −0.248901 | + | 0.119865i | ||||
\(742\) | 42.4292 | − | 24.6195i | 1.55763 | − | 0.903811i | ||||
\(743\) | 7.64542 | + | 3.68184i | 0.280483 | + | 0.135074i | 0.568837 | − | 0.822450i | \(-0.307394\pi\) |
−0.288354 | + | 0.957524i | \(0.593108\pi\) | |||||||
\(744\) | −13.3137 | + | 33.9227i | −0.488103 | + | 1.24367i | ||||
\(745\) | −0.271982 | + | 3.62935i | −0.00996466 | + | 0.132969i | ||||
\(746\) | −18.4575 | − | 47.0290i | −0.675778 | − | 1.72185i | ||||
\(747\) | 0.418507 | − | 0.129092i | 0.0153124 | − | 0.00472324i | ||||
\(748\) | 48.0495 | − | 60.2522i | 1.75686 | − | 2.20304i | ||||
\(749\) | −17.3873 | − | 25.3839i | −0.635319 | − | 0.927508i | ||||
\(750\) | 5.87741 | + | 7.37004i | 0.214613 | + | 0.269116i | ||||
\(751\) | 29.9242 | + | 20.4020i | 1.09195 | + | 0.744479i | 0.968784 | − | 0.247907i | \(-0.0797428\pi\) |
0.123166 | + | 0.992386i | \(0.460695\pi\) | |||||||
\(752\) | −14.0949 | − | 13.0782i | −0.513988 | − | 0.476911i | ||||
\(753\) | −5.83642 | + | 10.1090i | −0.212691 | + | 0.368392i | ||||
\(754\) | 2.92288 | + | 5.06257i | 0.106445 | + | 0.184368i | ||||
\(755\) | −0.0266497 | + | 0.116760i | −0.000969883 | + | 0.00424933i | ||||
\(756\) | −38.8033 | − | 30.8070i | −1.41126 | − | 1.12044i | ||||
\(757\) | −0.367914 | − | 1.61194i | −0.0133721 | − | 0.0585868i | 0.967802 | − | 0.251714i | \(-0.0809942\pi\) |
−0.981174 | + | 0.193127i | \(0.938137\pi\) | |||||||
\(758\) | 29.1480 | − | 27.0454i | 1.05870 | − | 0.982333i | ||||
\(759\) | −54.4644 | + | 8.20919i | −1.97693 | + | 0.297975i | ||||
\(760\) | −3.79375 | + | 0.571815i | −0.137614 | + | 0.0207419i | ||||
\(761\) | 1.93533 | − | 1.79572i | 0.0701555 | − | 0.0650948i | −0.644316 | − | 0.764760i | \(-0.722858\pi\) |
0.714471 | + | 0.699665i | \(0.246667\pi\) | |||||||
\(762\) | 11.2597 | + | 49.3319i | 0.407895 | + | 1.78711i | ||||
\(763\) | −38.1694 | − | 8.62477i | −1.38183 | − | 0.312238i | ||||
\(764\) | 16.3804 | − | 71.7672i | 0.592622 | − | 2.59645i | ||||
\(765\) | 0.0664530 | + | 0.115100i | 0.00240261 | + | 0.00416145i | ||||
\(766\) | 7.14198 | − | 12.3703i | 0.258050 | − | 0.446956i | ||||
\(767\) | 8.07219 | + | 7.48990i | 0.291470 | + | 0.270445i | ||||
\(768\) | 39.6581 | + | 27.0385i | 1.43104 | + | 0.975666i | ||||
\(769\) | −15.6938 | − | 19.6794i | −0.565933 | − | 0.709657i | 0.413709 | − | 0.910409i | \(-0.364233\pi\) |
−0.979642 | + | 0.200752i | \(0.935661\pi\) | |||||||
\(770\) | −1.65455 | + | 5.40557i | −0.0596259 | + | 0.194803i | ||||
\(771\) | 7.33170 | − | 9.19365i | 0.264045 | − | 0.331101i | ||||
\(772\) | −24.9463 | + | 7.69493i | −0.897838 | + | 0.276946i | ||||
\(773\) | −6.63496 | − | 16.9056i | −0.238643 | − | 0.608053i | 0.760505 | − | 0.649333i | \(-0.224952\pi\) |
−0.999148 | + | 0.0412800i | \(0.986856\pi\) | |||||||
\(774\) | −0.209666 | + | 2.79780i | −0.00753630 | + | 0.100565i | ||||
\(775\) | −9.35723 | + | 23.8418i | −0.336122 | + | 0.856424i | ||||
\(776\) | 18.4535 | + | 8.88674i | 0.662443 | + | 0.319016i | ||||
\(777\) | 5.71253 | + | 18.3778i | 0.204936 | + | 0.659300i | ||||
\(778\) | −4.63773 | + | 2.23341i | −0.166271 | + | 0.0800718i | ||||
\(779\) | 3.62556 | + | 48.3798i | 0.129899 | + | 1.73339i | ||||
\(780\) | 1.39687 | + | 0.430877i | 0.0500159 | + | 0.0154279i | ||||
\(781\) | 8.31827 | − | 5.67130i | 0.297651 | − | 0.202935i | ||||
\(782\) | 97.4506 | + | 14.6883i | 3.48483 | + | 0.525253i | ||||
\(783\) | 12.5016 | 0.446769 | ||||||||
\(784\) | 3.29863 | − | 14.7471i | 0.117808 | − | 0.526684i | ||||
\(785\) | −1.97945 | −0.0706496 | ||||||||
\(786\) | −6.24672 | − | 0.941542i | −0.222813 | − | 0.0335837i | ||||
\(787\) | −21.9401 | + | 14.9585i | −0.782079 | + | 0.533212i | −0.887276 | − | 0.461239i | \(-0.847405\pi\) |
0.105197 | + | 0.994451i | \(0.466453\pi\) | |||||||
\(788\) | −9.21297 | − | 2.84182i | −0.328198 | − | 0.101236i | ||||
\(789\) | −0.816130 | − | 10.8905i | −0.0290550 | − | 0.387712i | ||||
\(790\) | −8.48492 | + | 4.08612i | −0.301880 | + | 0.145378i | ||||
\(791\) | −38.9779 | + | 3.00611i | −1.38589 | + | 0.106885i | ||||
\(792\) | 1.60029 | + | 0.770657i | 0.0568637 | + | 0.0273841i | ||||
\(793\) | 5.31520 | − | 13.5429i | 0.188748 | − | 0.480922i | ||||
\(794\) | 4.25814 | − | 56.8209i | 0.151116 | − | 2.01650i | ||||
\(795\) | 1.13081 | + | 2.88125i | 0.0401056 | + | 0.102187i | ||||
\(796\) | −74.4806 | + | 22.9742i | −2.63989 | + | 0.814299i | ||||
\(797\) | 26.8797 | − | 33.7061i | 0.952129 | − | 1.19393i | −0.0288038 | − | 0.999585i | \(-0.509170\pi\) |
0.980933 | − | 0.194347i | \(-0.0622588\pi\) | |||||||
\(798\) | −44.0860 | + | 17.4130i | −1.56063 | + | 0.616415i | ||||
\(799\) | −29.2684 | − | 36.7014i | −1.03544 | − | 1.29840i | ||||
\(800\) | 11.6161 | + | 7.91975i | 0.410693 | + | 0.280006i | ||||
\(801\) | −0.277866 | − | 0.257822i | −0.00981790 | − | 0.00910968i | ||||
\(802\) | −16.5740 | + | 28.7070i | −0.585247 | + | 1.01368i | ||||
\(803\) | −15.8533 | − | 27.4587i | −0.559450 | − | 0.968996i | ||||
\(804\) | −3.43960 | + | 15.0699i | −0.121305 | + | 0.531473i | ||||
\(805\) | −4.56209 | + | 1.05169i | −0.160792 | + | 0.0370673i | ||||
\(806\) | 2.74342 | + | 12.0197i | 0.0966330 | + | 0.423377i | ||||
\(807\) | −10.6255 | + | 9.85900i | −0.374035 | + | 0.347053i | ||||
\(808\) | −21.5078 | + | 3.24177i | −0.756640 | + | 0.114045i | ||||
\(809\) | −26.2903 | + | 3.96263i | −0.924319 | + | 0.139319i | −0.593921 | − | 0.804523i | \(-0.702421\pi\) |
−0.330398 | + | 0.943842i | \(0.607183\pi\) | |||||||
\(810\) | 3.67073 | − | 3.40594i | 0.128976 | − | 0.119673i | ||||
\(811\) | −6.34235 | − | 27.7876i | −0.222710 | − | 0.975756i | −0.955428 | − | 0.295224i | \(-0.904606\pi\) |
0.732718 | − | 0.680532i | \(-0.238251\pi\) | |||||||
\(812\) | 10.4001 | + | 21.4766i | 0.364972 | + | 0.753681i | ||||
\(813\) | 10.9700 | − | 48.0629i | 0.384736 | − | 1.68564i | ||||
\(814\) | 19.5397 | + | 33.8437i | 0.684865 | + | 1.18622i | ||||
\(815\) | 1.44121 | − | 2.49625i | 0.0504833 | − | 0.0874397i | ||||
\(816\) | −14.7133 | − | 13.6519i | −0.515068 | − | 0.477913i | ||||
\(817\) | −37.0864 | − | 25.2851i | −1.29749 | − | 0.884614i | ||||
\(818\) | 0.845535 | + | 1.06027i | 0.0295634 | + | 0.0370714i | ||||
\(819\) | 0.295147 | + | 0.0214738i | 0.0103133 | + | 0.000750356i | ||||
\(820\) | 5.87997 | − | 7.37324i | 0.205337 | − | 0.257485i | ||||
\(821\) | −1.15583 | + | 0.356525i | −0.0403386 | + | 0.0124428i | −0.314859 | − | 0.949139i | \(-0.601957\pi\) |
0.274520 | + | 0.961581i | \(0.411481\pi\) | |||||||
\(822\) | −11.2525 | − | 28.6709i | −0.392477 | − | 1.00001i | ||||
\(823\) | −2.55607 | + | 34.1084i | −0.0890989 | + | 1.18894i | 0.756087 | + | 0.654471i | \(0.227108\pi\) |
−0.845186 | + | 0.534472i | \(0.820511\pi\) | |||||||
\(824\) | −4.86570 | + | 12.3976i | −0.169505 | + | 0.431891i | ||||
\(825\) | 31.2917 | + | 15.0693i | 1.08944 | + | 0.524646i | ||||
\(826\) | 47.3200 | + | 50.7773i | 1.64647 | + | 1.76677i | ||||
\(827\) | 32.2119 | − | 15.5124i | 1.12012 | − | 0.539419i | 0.220188 | − | 0.975457i | \(-0.429333\pi\) |
0.899928 | + | 0.436038i | \(0.143619\pi\) | |||||||
\(828\) | 0.241136 | + | 3.21773i | 0.00838004 | + | 0.111824i | ||||
\(829\) | 21.1269 | + | 6.51677i | 0.733766 | + | 0.226337i | 0.639048 | − | 0.769167i | \(-0.279329\pi\) |
0.0947186 | + | 0.995504i | \(0.469805\pi\) | |||||||
\(830\) | 1.73768 | − | 1.18473i | 0.0603157 | − | 0.0411226i | ||||
\(831\) | −40.0199 | − | 6.03202i | −1.38827 | − | 0.209249i | ||||
\(832\) | 11.0851 | 0.384307 | ||||||||
\(833\) | 13.3295 | − | 34.4016i | 0.461840 | − | 1.19194i | ||||
\(834\) | 39.4962 | 1.36764 | ||||||||
\(835\) | −2.38158 | − | 0.358966i | −0.0824180 | − | 0.0124225i | ||||
\(836\) | −51.5025 | + | 35.1138i | −1.78125 | + | 1.21444i | ||||
\(837\) | 25.1947 | + | 7.77154i | 0.870857 | + | 0.268624i | ||||
\(838\) | −2.59545 | − | 34.6338i | −0.0896582 | − | 1.19641i | ||||
\(839\) | 0.216760 | − | 0.104386i | 0.00748338 | − | 0.00360381i | −0.430138 | − | 0.902763i | \(-0.641535\pi\) |
0.437622 | + | 0.899159i | \(0.355821\pi\) | |||||||
\(840\) | 3.91334 | + | 1.52607i | 0.135023 | + | 0.0526545i | ||||
\(841\) | 20.7034 | + | 9.97021i | 0.713909 | + | 0.343800i | ||||
\(842\) | 9.27719 | − | 23.6379i | 0.319713 | − | 0.814615i | ||||
\(843\) | 2.19236 | − | 29.2550i | 0.0755087 | − | 1.00759i | ||||
\(844\) | −12.1126 | − | 30.8624i | −0.416932 | − | 1.06233i | ||||
\(845\) | 0.215436 | − | 0.0664533i | 0.00741124 | − | 0.00228606i | ||||
\(846\) | 1.47974 | − | 1.85554i | 0.0508746 | − | 0.0637948i | ||||
\(847\) | 1.93023 | + | 12.6202i | 0.0663234 | + | 0.433636i | ||||
\(848\) | −10.4753 | − | 13.1356i | −0.359723 | − | 0.451079i | ||||
\(849\) | 29.0123 | + | 19.7802i | 0.995699 | + | 0.678856i | ||||
\(850\) | −45.5540 | − | 42.2680i | −1.56249 | − | 1.44978i | ||||
\(851\) | −16.1822 | + | 28.0283i | −0.554717 | + | 0.960798i | ||||
\(852\) | −8.20457 | − | 14.2107i | −0.281084 | − | 0.486852i | ||||
\(853\) | 9.39636 | − | 41.1681i | 0.321725 | − | 1.40957i | −0.512757 | − | 0.858534i | \(-0.671376\pi\) |
0.834482 | − | 0.551036i | \(-0.185767\pi\) | |||||||
\(854\) | 39.6082 | − | 82.7062i | 1.35536 | − | 2.83015i | ||||
\(855\) | −0.0239210 | − | 0.104805i | −0.000818080 | − | 0.00358424i | ||||
\(856\) | −34.0296 | + | 31.5749i | −1.16311 | + | 1.07921i | ||||
\(857\) | −2.49566 | + | 0.376160i | −0.0852500 | + | 0.0128494i | −0.191529 | − | 0.981487i | \(-0.561345\pi\) |
0.106279 | + | 0.994336i | \(0.466106\pi\) | |||||||
\(858\) | 16.5316 | − | 2.49174i | 0.564380 | − | 0.0850666i | ||||
\(859\) | 38.7468 | − | 35.9518i | 1.32202 | − | 1.22666i | 0.366969 | − | 0.930233i | \(-0.380396\pi\) |
0.955056 | − | 0.296426i | \(-0.0957950\pi\) | |||||||
\(860\) | 1.94154 | + | 8.50643i | 0.0662059 | + | 0.290067i | ||||
\(861\) | 22.9420 | − | 47.9053i | 0.781861 | − | 1.63261i | ||||
\(862\) | −0.0131763 | + | 0.0577293i | −0.000448787 | + | 0.00196627i | ||||
\(863\) | 5.96557 | + | 10.3327i | 0.203070 | + | 0.351728i | 0.949516 | − | 0.313718i | \(-0.101575\pi\) |
−0.746446 | + | 0.665446i | \(0.768241\pi\) | |||||||
\(864\) | 7.23641 | − | 12.5338i | 0.246188 | − | 0.426409i | ||||
\(865\) | −2.36181 | − | 2.19144i | −0.0803041 | − | 0.0745113i | ||||
\(866\) | −47.2973 | − | 32.2467i | −1.60723 | − | 1.09579i | ||||
\(867\) | −11.8548 | − | 14.8655i | −0.402611 | − | 0.504858i | ||||
\(868\) | 7.60875 | + | 49.7476i | 0.258258 | + | 1.68854i | ||||
\(869\) | −43.4895 | + | 54.5342i | −1.47528 | + | 1.84994i | ||||
\(870\) | −2.22161 | + | 0.685277i | −0.0753198 | + | 0.0232331i | ||||
\(871\) | 0.870961 | + | 2.21917i | 0.0295114 | + | 0.0751938i | ||||
\(872\) | −4.41214 | + | 58.8759i | −0.149414 | + | 1.99379i | ||||
\(873\) | −0.209667 | + | 0.534222i | −0.00709614 | + | 0.0180807i | ||||
\(874\) | −71.8184 | − | 34.5859i | −2.42929 | − | 1.16989i | ||||
\(875\) | 5.52905 | + | 2.15615i | 0.186916 | + | 0.0728912i | ||||
\(876\) | −46.5604 | + | 22.4223i | −1.57313 | + | 0.757580i | ||||
\(877\) | 2.34369 | + | 31.2743i | 0.0791407 | + | 1.05606i | 0.885502 | + | 0.464636i | \(0.153815\pi\) |
−0.806361 | + | 0.591424i | \(0.798566\pi\) | |||||||
\(878\) | 12.5448 | + | 3.86955i | 0.423366 | + | 0.130591i | ||||
\(879\) | −1.02180 | + | 0.696651i | −0.0344644 | + | 0.0234974i | ||||
\(880\) | 1.91455 | + | 0.288572i | 0.0645395 | + | 0.00972776i | ||||
\(881\) | 6.83283 | 0.230204 | 0.115102 | − | 0.993354i | \(-0.463281\pi\) | ||||
0.115102 | + | 0.993354i | \(0.463281\pi\) | |||||||
\(882\) | 1.84562 | + | 0.269990i | 0.0621451 | + | 0.00909104i | ||||
\(883\) | 17.8430 | 0.600464 | 0.300232 | − | 0.953866i | \(-0.402936\pi\) | ||||
0.300232 | + | 0.953866i | \(0.402936\pi\) | |||||||
\(884\) | −19.1559 | − | 2.88729i | −0.644284 | − | 0.0971102i | ||||
\(885\) | −3.61849 | + | 2.46704i | −0.121634 | + | 0.0829287i | ||||
\(886\) | −44.2746 | − | 13.6569i | −1.48744 | − | 0.458813i | ||||
\(887\) | 2.35524 | + | 31.4285i | 0.0790813 | + | 1.05527i | 0.885719 | + | 0.464221i | \(0.153666\pi\) |
−0.806638 | + | 0.591046i | \(0.798715\pi\) | |||||||
\(888\) | 26.1611 | − | 12.5985i | 0.877910 | − | 0.422779i | ||||
\(889\) | 21.7181 | + | 23.3049i | 0.728403 | + | 0.781621i | ||||
\(890\) | −1.63997 | − | 0.789767i | −0.0549719 | − | 0.0264731i | ||||
\(891\) | 13.5498 | − | 34.5244i | 0.453937 | − | 1.15661i | ||||
\(892\) | 1.37459 | − | 18.3426i | 0.0460247 | − | 0.614157i | ||||
\(893\) | 13.8718 | + | 35.3447i | 0.464201 | + | 1.18276i | ||||
\(894\) | 64.8289 | − | 19.9971i | 2.16820 | − | 0.668802i | ||||
\(895\) | 1.94936 | − | 2.44443i | 0.0651600 | − | 0.0817081i | ||||
\(896\) | 54.6945 | + | 3.97938i | 1.82722 | + | 0.132942i | ||||
\(897\) | 8.63260 | + | 10.8249i | 0.288234 | + | 0.361434i | ||||
\(898\) | 7.49036 | + | 5.10684i | 0.249956 | + | 0.170417i | ||||
\(899\) | −9.30864 | − | 8.63715i | −0.310460 | − | 0.288065i | ||||
\(900\) | 1.01734 | − | 1.76208i | 0.0339113 | − | 0.0587360i | ||||
\(901\) | −20.5092 | − | 35.5230i | −0.683262 | − | 1.18344i | ||||
\(902\) | 24.0004 | − | 105.152i | 0.799124 | − | 3.50119i | ||||
\(903\) | 21.4179 | + | 44.2288i | 0.712743 | + | 1.47184i | ||||
\(904\) | 13.1251 | + | 57.5047i | 0.436534 | + | 1.91258i | ||||
\(905\) | −2.87132 | + | 2.66419i | −0.0954458 | + | 0.0885607i | ||||
\(906\) | 2.20751 | − | 0.332729i | 0.0733398 | − | 0.0110542i | ||||
\(907\) | −47.9384 | + | 7.22556i | −1.59177 | + | 0.239921i | −0.884333 | − | 0.466856i | \(-0.845387\pi\) |
−0.707437 | + | 0.706777i | \(0.750148\pi\) | |||||||
\(908\) | 3.07021 | − | 2.84874i | 0.101889 | − | 0.0945388i | ||||
\(909\) | −0.135614 | − | 0.594165i | −0.00449804 | − | 0.0197072i | ||||
\(910\) | 1.38473 | − | 0.319221i | 0.0459034 | − | 0.0105821i | ||||
\(911\) | −1.71285 | + | 7.50450i | −0.0567494 | + | 0.248635i | −0.995344 | − | 0.0963868i | \(-0.969271\pi\) |
0.938595 | + | 0.345022i | \(0.112129\pi\) | |||||||
\(912\) | 8.11723 | + | 14.0595i | 0.268788 | + | 0.465555i | ||||
\(913\) | 7.78846 | − | 13.4900i | 0.257760 | − | 0.446454i | ||||
\(914\) | 23.7171 | + | 22.0063i | 0.784493 | + | 0.727903i | ||||
\(915\) | 4.78069 | + | 3.25942i | 0.158045 | + | 0.107753i | ||||
\(916\) | −35.0195 | − | 43.9130i | −1.15708 | − | 1.45093i | ||||
\(917\) | −3.69900 | + | 1.46103i | −0.122152 | + | 0.0482473i | ||||
\(918\) | −39.8858 | + | 50.0152i | −1.31643 | + | 1.65075i | ||||
\(919\) | 16.9986 | − | 5.24337i | 0.560731 | − | 0.172963i | −0.00141717 | − | 0.999999i | \(-0.500451\pi\) |
0.562149 | + | 0.827036i | \(0.309975\pi\) | |||||||
\(920\) | 2.58066 | + | 6.57541i | 0.0850818 | + | 0.216785i | ||||
\(921\) | −0.225180 | + | 3.00482i | −0.00741995 | + | 0.0990123i | ||||
\(922\) | −9.33089 | + | 23.7747i | −0.307296 | + | 0.782978i | ||||
\(923\) | −2.28013 | − | 1.09805i | −0.0750513 | − | 0.0361428i | ||||
\(924\) | 68.0419 | − | 5.24763i | 2.23841 | − | 0.172634i | ||||
\(925\) | 18.3868 | − | 8.85460i | 0.604553 | − | 0.291138i | ||||
\(926\) | 1.91879 | + | 25.6044i | 0.0630552 | + | 0.841414i | ||||
\(927\) | −0.356593 | − | 0.109994i | −0.0117120 | − | 0.00361269i | ||||
\(928\) | −5.75923 | + | 3.92658i | −0.189056 | + | 0.128896i | ||||
\(929\) | 14.5091 | + | 2.18690i | 0.476030 | + | 0.0717499i | 0.382675 | − | 0.923883i | \(-0.375003\pi\) |
0.0933546 | + | 0.995633i | \(0.470241\pi\) | |||||||
\(930\) | −4.90328 | −0.160785 | ||||||||
\(931\) | −18.5041 | + | 23.4113i | −0.606449 | + | 0.767275i | ||||
\(932\) | −42.1576 | −1.38092 | ||||||||
\(933\) | 2.91638 | + | 0.439573i | 0.0954779 | + | 0.0143910i | ||||
\(934\) | −20.7057 | + | 14.1169i | −0.677513 | + | 0.461920i | ||||
\(935\) | 4.51701 | + | 1.39331i | 0.147722 | + | 0.0455662i | ||||
\(936\) | −0.0333661 | − | 0.445239i | −0.00109060 | − | 0.0145531i | ||||
\(937\) | 38.5535 | − | 18.5664i | 1.25949 | − | 0.606538i | 0.319449 | − | 0.947604i | \(-0.396502\pi\) |
0.940039 | + | 0.341066i | \(0.110788\pi\) | |||||||
\(938\) | 4.46027 | + | 14.3492i | 0.145633 | + | 0.468517i | ||||
\(939\) | 7.26501 | + | 3.49865i | 0.237085 | + | 0.114174i | ||||
\(940\) | 2.69648 | − | 6.87052i | 0.0879494 | − | 0.224091i | ||||
\(941\) | −0.139820 | + | 1.86577i | −0.00455800 | + | 0.0608222i | −0.999019 | − | 0.0442842i | \(-0.985899\pi\) |
0.994461 | + | 0.105106i | \(0.0335183\pi\) | |||||||
\(942\) | 13.4804 | + | 34.3475i | 0.439215 | + | 1.11910i | ||||
\(943\) | 85.3552 | − | 26.3286i | 2.77955 | − | 0.857377i | ||||
\(944\) | 14.8217 | − | 18.5858i | 0.482405 | − | 0.604916i | ||||
\(945\) | 0.889459 | − | 2.90594i | 0.0289341 | − | 0.0945303i | ||||
\(946\) | 62.2165 | + | 78.0170i | 2.02283 | + | 2.53655i | ||||
\(947\) | −27.5678 | − | 18.7954i | −0.895833 | − | 0.610768i | 0.0254439 | − | 0.999676i | \(-0.491900\pi\) |
−0.921277 | + | 0.388908i | \(0.872852\pi\) | |||||||
\(948\) | 83.3391 | + | 77.3274i | 2.70673 | + | 2.51148i | ||||
\(949\) | −3.98511 | + | 6.90242i | −0.129362 | + | 0.224062i | ||||
\(950\) | 25.1319 | + | 43.5297i | 0.815386 | + | 1.41229i | ||||
\(951\) | −12.1168 | + | 53.0870i | −0.392913 | + | 1.72146i | ||||
\(952\) | −54.2955 | − | 12.2686i | −1.75973 | − | 0.397628i | ||||
\(953\) | 2.40386 | + | 10.5320i | 0.0778686 | + | 0.341165i | 0.998823 | − | 0.0485060i | \(-0.0154460\pi\) |
−0.920954 | + | 0.389671i | \(0.872589\pi\) | |||||||
\(954\) | 1.52020 | − | 1.41054i | 0.0492184 | − | 0.0456680i | ||||
\(955\) | 4.46482 | − | 0.672963i | 0.144478 | − | 0.0217766i | ||||
\(956\) | 35.8252 | − | 5.39979i | 1.15867 | − | 0.174642i | ||||
\(957\) | −12.6228 | + | 11.7123i | −0.408038 | + | 0.378604i | ||||
\(958\) | 6.84256 | + | 29.9792i | 0.221073 | + | 0.968584i | ||||
\(959\) | −15.1862 | − | 12.0567i | −0.490388 | − | 0.389332i | ||||
\(960\) | −0.981014 | + | 4.29810i | −0.0316621 | + | 0.138721i | ||||
\(961\) | 2.10931 | + | 3.65343i | 0.0680422 | + | 0.117852i | ||||
\(962\) | 4.91178 | − | 8.50745i | 0.158362 | − | 0.274291i | ||||
\(963\) | −0.953495 | − | 0.884714i | −0.0307259 | − | 0.0285095i | ||||
\(964\) | −70.6755 | − | 48.1857i | −2.27630 | − | 1.55196i | ||||
\(965\) | −0.998390 | − | 1.25194i | −0.0321393 | − | 0.0403014i | ||||
\(966\) | 49.3176 | + | 71.9993i | 1.58677 | + | 2.31654i | ||||
\(967\) | 20.4567 | − | 25.6519i | 0.657843 | − | 0.824909i | −0.335263 | − | 0.942125i | \(-0.608825\pi\) |
0.993107 | + | 0.117215i | \(0.0373967\pi\) | |||||||
\(968\) | 18.4067 | − | 5.67773i | 0.591615 | − | 0.182489i | ||||
\(969\) | 14.4803 | + | 36.8953i | 0.465176 | + | 1.18525i | ||||
\(970\) | −0.205945 | + | 2.74815i | −0.00661250 | + | 0.0882377i | ||||
\(971\) | 4.87667 | − | 12.4256i | 0.156500 | − | 0.398755i | −0.831022 | − | 0.556240i | \(-0.812243\pi\) |
0.987521 | + | 0.157485i | \(0.0503387\pi\) | |||||||
\(972\) | −3.84734 | − | 1.85278i | −0.123404 | − | 0.0594280i | ||||
\(973\) | 21.5067 | − | 12.4792i | 0.689473 | − | 0.400066i | ||||
\(974\) | −41.9032 | + | 20.1795i | −1.34267 | + | 0.646594i | ||||
\(975\) | −0.652435 | − | 8.70614i | −0.0208946 | − | 0.278820i | ||||
\(976\) | −30.0121 | − | 9.25750i | −0.960663 | − | 0.296325i | ||||
\(977\) | 47.3338 | − | 32.2716i | 1.51434 | − | 1.03246i | 0.531702 | − | 0.846931i | \(-0.321553\pi\) |
0.982639 | − | 0.185529i | \(-0.0593998\pi\) | |||||||
\(978\) | −53.1298 | − | 8.00804i | −1.69891 | − | 0.256069i | ||||
\(979\) | −13.4817 | −0.430876 | ||||||||
\(980\) | 5.73210 | − | 0.889451i | 0.183105 | − | 0.0284125i | ||||
\(981\) | −1.65430 | −0.0528179 | ||||||||
\(982\) | −92.9592 | − | 14.0113i | −2.96645 | − | 0.447120i | ||||
\(983\) | −24.8813 | + | 16.9638i | −0.793590 | + | 0.541060i | −0.890903 | − | 0.454193i | \(-0.849928\pi\) |
0.0973133 | + | 0.995254i | \(0.468975\pi\) | |||||||
\(984\) | −76.5791 | − | 23.6215i | −2.44125 | − | 0.753026i | ||||
\(985\) | −0.0441936 | − | 0.589722i | −0.00140812 | − | 0.0187901i | ||||
\(986\) | 27.7590 | − | 13.3680i | 0.884027 | − | 0.425725i | ||||
\(987\) | 6.10634 | − | 41.1185i | 0.194367 | − | 1.30882i | ||||
\(988\) | 14.1174 | + | 6.79857i | 0.449134 | + | 0.216291i | ||||
\(989\) | −30.1921 | + | 76.9283i | −0.960054 | + | 2.44618i | ||||
\(990\) | −0.0178595 | + | 0.238319i | −0.000567613 | + | 0.00757427i | ||||
\(991\) | 8.23915 | + | 20.9930i | 0.261725 | + | 0.666865i | 0.999971 | − | 0.00766721i | \(-0.00244057\pi\) |
−0.738245 | + | 0.674532i | \(0.764345\pi\) | |||||||
\(992\) | −14.0477 | + | 4.33313i | −0.446014 | + | 0.137577i | ||||
\(993\) | −12.3783 | + | 15.5220i | −0.392815 | + | 0.492574i | ||||
\(994\) | −13.8318 | − | 7.94578i | −0.438717 | − | 0.252025i | ||||
\(995\) | −2.98082 | − | 3.73784i | −0.0944985 | − | 0.118497i | ||||
\(996\) | −20.9771 | − | 14.3019i | −0.664685 | − | 0.453175i | ||||
\(997\) | −4.28602 | − | 3.97685i | −0.135740 | − | 0.125948i | 0.609381 | − | 0.792877i | \(-0.291418\pi\) |
−0.745121 | + | 0.666929i | \(0.767608\pi\) | |||||||
\(998\) | 28.7712 | − | 49.8332i | 0.910736 | − | 1.57744i | ||||
\(999\) | −10.5042 | − | 18.1938i | −0.332338 | − | 0.575626i |
(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 | 637.2.bl.a.235.3 | ✓ | 324 | |
49.44 | even | 21 | inner | 637.2.bl.a.534.3 | yes | 324 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
637.2.bl.a.235.3 | ✓ | 324 | 1.1 | even | 1 | trivial | |
637.2.bl.a.534.3 | yes | 324 | 49.44 | even | 21 | inner |