Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(4,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([14, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.z (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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 142.12 | ||
Character | \(\chi\) | \(=\) | 441.142 |
Dual form | 441.2.z.a.382.12 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{4}{21}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.700413 | + | 1.78462i | −0.495267 | + | 1.26192i | 0.436775 | + | 0.899571i | \(0.356120\pi\) |
−0.932042 | + | 0.362349i | \(0.881975\pi\) | |||||||
\(3\) | −1.50834 | + | 0.851417i | −0.870841 | + | 0.491566i | ||||
\(4\) | −1.22820 | − | 1.13960i | −0.614100 | − | 0.569802i | ||||
\(5\) | 2.53828 | − | 1.22237i | 1.13515 | − | 0.546660i | 0.230610 | − | 0.973046i | \(-0.425928\pi\) |
0.904541 | + | 0.426386i | \(0.140213\pi\) | |||||||
\(6\) | −0.462997 | − | 3.28816i | −0.189018 | − | 1.34239i | ||||
\(7\) | −2.05984 | − | 1.66044i | −0.778547 | − | 0.627587i | ||||
\(8\) | −0.560571 | + | 0.269957i | −0.198192 | + | 0.0954442i | ||||
\(9\) | 1.55018 | − | 2.56845i | 0.516726 | − | 0.856151i | ||||
\(10\) | 0.403627 | + | 5.38603i | 0.127638 | + | 1.70321i | ||||
\(11\) | 0.0782134 | + | 0.0980766i | 0.0235822 | + | 0.0295712i | 0.793483 | − | 0.608593i | \(-0.208266\pi\) |
−0.769901 | + | 0.638164i | \(0.779694\pi\) | |||||||
\(12\) | 2.82282 | + | 0.673199i | 0.814879 | + | 0.194336i | ||||
\(13\) | 1.84195 | − | 4.69320i | 0.510864 | − | 1.30166i | −0.410110 | − | 0.912036i | \(-0.634510\pi\) |
0.920974 | − | 0.389624i | \(-0.127395\pi\) | |||||||
\(14\) | 4.40600 | − | 2.51305i | 1.17755 | − | 0.671641i | ||||
\(15\) | −2.78784 | + | 4.00488i | −0.719817 | + | 1.03406i | ||||
\(16\) | −0.339555 | − | 4.53105i | −0.0848887 | − | 1.13276i | ||||
\(17\) | 3.92669 | − | 3.64343i | 0.952362 | − | 0.883663i | −0.0409457 | − | 0.999161i | \(-0.513037\pi\) |
0.993308 | + | 0.115499i | \(0.0368466\pi\) | |||||||
\(18\) | 3.49795 | + | 4.56547i | 0.824476 | + | 1.07609i | ||||
\(19\) | −0.421303 | + | 0.729718i | −0.0966536 | + | 0.167409i | −0.910298 | − | 0.413955i | \(-0.864147\pi\) |
0.813644 | + | 0.581363i | \(0.197481\pi\) | |||||||
\(20\) | −4.51053 | − | 1.39131i | −1.00859 | − | 0.311107i | ||||
\(21\) | 4.52067 | + | 0.750722i | 0.986490 | + | 0.163821i | ||||
\(22\) | −0.229812 | + | 0.0708875i | −0.0489960 | + | 0.0151133i | ||||
\(23\) | 1.52618 | − | 6.68661i | 0.318230 | − | 1.39426i | −0.522426 | − | 0.852685i | \(-0.674973\pi\) |
0.840655 | − | 0.541570i | \(-0.182170\pi\) | |||||||
\(24\) | 0.615686 | − | 0.884466i | 0.125676 | − | 0.180541i | ||||
\(25\) | 1.83121 | − | 2.29626i | 0.366242 | − | 0.459253i | ||||
\(26\) | 7.08548 | + | 6.57436i | 1.38958 | + | 1.28934i | ||||
\(27\) | −0.151375 | + | 5.19395i | −0.0291322 | + | 0.999576i | ||||
\(28\) | 0.637657 | + | 4.38675i | 0.120506 | + | 0.829019i | ||||
\(29\) | 0.484894 | + | 0.149570i | 0.0900426 | + | 0.0277745i | 0.339449 | − | 0.940624i | \(-0.389759\pi\) |
−0.249407 | + | 0.968399i | \(0.580236\pi\) | |||||||
\(30\) | −5.19457 | − | 7.78031i | −0.948394 | − | 1.42048i | ||||
\(31\) | −5.01663 | + | 8.68906i | −0.901013 | + | 1.56060i | −0.0748317 | + | 0.997196i | \(0.523842\pi\) |
−0.826181 | + | 0.563404i | \(0.809491\pi\) | |||||||
\(32\) | 7.13495 | + | 2.20084i | 1.26129 | + | 0.389057i | ||||
\(33\) | −0.201476 | − | 0.0813406i | −0.0350726 | − | 0.0141596i | ||||
\(34\) | 3.75186 | + | 9.55957i | 0.643438 | + | 1.63945i | ||||
\(35\) | −7.25811 | − | 1.69676i | −1.22685 | − | 0.286805i | ||||
\(36\) | −4.83095 | + | 1.38798i | −0.805158 | + | 0.231331i | ||||
\(37\) | −4.98367 | − | 1.53726i | −0.819311 | − | 0.252724i | −0.143360 | − | 0.989671i | \(-0.545791\pi\) |
−0.675951 | + | 0.736947i | \(0.736267\pi\) | |||||||
\(38\) | −1.00719 | − | 1.26297i | −0.163387 | − | 0.204881i | ||||
\(39\) | 1.21759 | + | 8.64721i | 0.194970 | + | 1.38466i | ||||
\(40\) | −1.09290 | + | 1.37045i | −0.172802 | + | 0.216687i | ||||
\(41\) | 3.97627 | + | 2.71098i | 0.620989 | + | 0.423383i | 0.832525 | − | 0.553987i | \(-0.186894\pi\) |
−0.211536 | + | 0.977370i | \(0.567847\pi\) | |||||||
\(42\) | −4.50609 | + | 7.54187i | −0.695305 | + | 1.16374i | ||||
\(43\) | −1.27446 | + | 0.868914i | −0.194354 | + | 0.132508i | −0.656587 | − | 0.754250i | \(-0.728001\pi\) |
0.462233 | + | 0.886758i | \(0.347048\pi\) | |||||||
\(44\) | 0.0157066 | − | 0.209590i | 0.00236786 | − | 0.0315969i | ||||
\(45\) | 0.795187 | − | 8.41433i | 0.118539 | − | 1.25433i | ||||
\(46\) | 10.8641 | + | 7.40704i | 1.60183 | + | 1.09211i | ||||
\(47\) | 3.10005 | − | 7.89879i | 0.452188 | − | 1.15216i | −0.505110 | − | 0.863055i | \(-0.668548\pi\) |
0.957298 | − | 0.289102i | \(-0.0933566\pi\) | |||||||
\(48\) | 4.36997 | + | 6.54525i | 0.630751 | + | 0.944726i | ||||
\(49\) | 1.48589 | + | 6.84048i | 0.212270 | + | 0.977211i | ||||
\(50\) | 2.81537 | + | 4.87636i | 0.398153 | + | 0.689621i | ||||
\(51\) | −2.82070 | + | 8.83879i | −0.394977 | + | 1.23768i | ||||
\(52\) | −7.61067 | + | 3.66510i | −1.05541 | + | 0.508259i | ||||
\(53\) | 0.276852 | − | 0.0853976i | 0.0380286 | − | 0.0117303i | −0.275683 | − | 0.961249i | \(-0.588904\pi\) |
0.313711 | + | 0.949518i | \(0.398428\pi\) | |||||||
\(54\) | −9.16322 | − | 3.90806i | −1.24696 | − | 0.531819i | ||||
\(55\) | 0.318413 | + | 0.153340i | 0.0429348 | + | 0.0206763i | ||||
\(56\) | 1.60293 | + | 0.374725i | 0.214201 | + | 0.0500748i | ||||
\(57\) | 0.0141740 | − | 1.45937i | 0.00187739 | − | 0.193298i | ||||
\(58\) | −0.606553 | + | 0.760593i | −0.0796443 | + | 0.0998708i | ||||
\(59\) | 4.55198 | − | 3.10349i | 0.592617 | − | 0.404039i | −0.229541 | − | 0.973299i | \(-0.573722\pi\) |
0.822158 | + | 0.569260i | \(0.192770\pi\) | |||||||
\(60\) | 7.98800 | − | 1.74177i | 1.03125 | − | 0.224861i | ||||
\(61\) | 2.24351 | − | 2.08167i | 0.287252 | − | 0.266531i | −0.523364 | − | 0.852109i | \(-0.675323\pi\) |
0.810616 | + | 0.585579i | \(0.199133\pi\) | |||||||
\(62\) | −11.9930 | − | 15.0387i | −1.52311 | − | 1.90992i | ||||
\(63\) | −7.45788 | + | 2.71663i | −0.939604 | + | 0.342263i | ||||
\(64\) | −3.25913 | + | 4.08681i | −0.407391 | + | 0.510852i | ||||
\(65\) | −1.06146 | − | 14.1642i | −0.131658 | − | 1.75685i | ||||
\(66\) | 0.286279 | − | 0.302588i | 0.0352385 | − | 0.0372460i | ||||
\(67\) | 6.95882 | − | 12.0530i | 0.850156 | − | 1.47251i | −0.0309121 | − | 0.999522i | \(-0.509841\pi\) |
0.881068 | − | 0.472990i | \(-0.156825\pi\) | |||||||
\(68\) | −8.97483 | −1.08836 | ||||||||
\(69\) | 3.39110 | + | 11.3851i | 0.408241 | + | 1.37060i | ||||
\(70\) | 8.11177 | − | 11.7646i | 0.969541 | − | 1.40614i | ||||
\(71\) | −0.117503 | + | 0.514814i | −0.0139450 | + | 0.0610971i | −0.981422 | − | 0.191863i | \(-0.938547\pi\) |
0.967477 | + | 0.252960i | \(0.0814042\pi\) | |||||||
\(72\) | −0.175615 | + | 1.85828i | −0.0206964 | + | 0.219001i | ||||
\(73\) | −7.59302 | − | 1.14446i | −0.888696 | − | 0.133949i | −0.311201 | − | 0.950344i | \(-0.600731\pi\) |
−0.577494 | + | 0.816395i | \(0.695969\pi\) | |||||||
\(74\) | 6.23406 | − | 7.81727i | 0.724695 | − | 0.908739i | ||||
\(75\) | −0.807009 | + | 5.02267i | −0.0931854 | + | 0.579968i | ||||
\(76\) | 1.34903 | − | 0.416122i | 0.154745 | − | 0.0477325i | ||||
\(77\) | 0.00174278 | − | 0.331891i | 0.000198608 | − | 0.0378225i | ||||
\(78\) | −16.2848 | − | 3.88368i | −1.84389 | − | 0.439740i | ||||
\(79\) | 0.119801 | + | 0.207501i | 0.0134786 | + | 0.0233456i | 0.872686 | − | 0.488282i | \(-0.162376\pi\) |
−0.859207 | + | 0.511627i | \(0.829043\pi\) | |||||||
\(80\) | −6.40049 | − | 11.0860i | −0.715597 | − | 1.23945i | ||||
\(81\) | −4.19389 | − | 7.96312i | −0.465988 | − | 0.884791i | ||||
\(82\) | −7.62311 | + | 5.19735i | −0.841831 | + | 0.573951i | ||||
\(83\) | 0.530135 | + | 1.35076i | 0.0581899 | + | 0.148265i | 0.957012 | − | 0.290048i | \(-0.0936712\pi\) |
−0.898822 | + | 0.438313i | \(0.855576\pi\) | |||||||
\(84\) | −4.69676 | − | 6.07381i | −0.512458 | − | 0.662707i | ||||
\(85\) | 5.51340 | − | 14.0479i | 0.598012 | − | 1.52371i | ||||
\(86\) | −0.658034 | − | 2.88304i | −0.0709577 | − | 0.310886i | ||||
\(87\) | −0.858732 | + | 0.187245i | −0.0920657 | + | 0.0200747i | ||||
\(88\) | −0.0703206 | − | 0.0338646i | −0.00749621 | − | 0.00360998i | ||||
\(89\) | −0.315115 | − | 0.802899i | −0.0334021 | − | 0.0851071i | 0.913200 | − | 0.407513i | \(-0.133604\pi\) |
−0.946602 | + | 0.322406i | \(0.895509\pi\) | |||||||
\(90\) | 14.4595 | + | 7.31262i | 1.52416 | + | 0.770818i | ||||
\(91\) | −11.5869 | + | 6.60881i | −1.21464 | + | 0.692792i | ||||
\(92\) | −9.49454 | + | 6.47327i | −0.989874 | + | 0.674885i | ||||
\(93\) | 0.168775 | − | 17.3773i | 0.0175012 | − | 1.80194i | ||||
\(94\) | 11.9251 | + | 11.0648i | 1.22998 | + | 1.14125i | ||||
\(95\) | −0.177398 | + | 2.36721i | −0.0182007 | + | 0.242871i | ||||
\(96\) | −12.6358 | + | 2.75520i | −1.28963 | + | 0.281201i | ||||
\(97\) | −8.79556 | + | 15.2344i | −0.893054 | + | 1.54682i | −0.0568598 | + | 0.998382i | \(0.518109\pi\) |
−0.836194 | + | 0.548433i | \(0.815225\pi\) | |||||||
\(98\) | −13.2484 | − | 2.13940i | −1.33829 | − | 0.216113i | ||||
\(99\) | 0.373150 | − | 0.0488512i | 0.0375030 | − | 0.00490973i | ||||
\(100\) | −4.86592 | + | 0.733420i | −0.486592 | + | 0.0733420i | ||||
\(101\) | −4.04117 | + | 1.94612i | −0.402111 | + | 0.193647i | −0.623998 | − | 0.781426i | \(-0.714493\pi\) |
0.221887 | + | 0.975072i | \(0.428778\pi\) | |||||||
\(102\) | −13.7983 | − | 11.2247i | −1.36623 | − | 1.11141i | ||||
\(103\) | 11.7897 | − | 5.67762i | 1.16167 | − | 0.559432i | 0.249153 | − | 0.968464i | \(-0.419848\pi\) |
0.912520 | + | 0.409032i | \(0.134134\pi\) | |||||||
\(104\) | 0.234420 | + | 3.12812i | 0.0229868 | + | 0.306737i | ||||
\(105\) | 12.3924 | − | 3.62038i | 1.20937 | − | 0.353313i | ||||
\(106\) | −0.0415084 | + | 0.553891i | −0.00403165 | + | 0.0537986i | ||||
\(107\) | 2.09431 | + | 5.33622i | 0.202465 | + | 0.515872i | 0.995657 | − | 0.0930999i | \(-0.0296776\pi\) |
−0.793192 | + | 0.608972i | \(0.791582\pi\) | |||||||
\(108\) | 6.10496 | − | 6.20670i | 0.587450 | − | 0.597240i | ||||
\(109\) | 3.26980 | − | 8.33131i | 0.313190 | − | 0.797994i | −0.684433 | − | 0.729076i | \(-0.739950\pi\) |
0.997622 | − | 0.0689182i | \(-0.0219548\pi\) | |||||||
\(110\) | −0.496674 | + | 0.460847i | −0.0473561 | + | 0.0439400i | ||||
\(111\) | 8.82592 | − | 1.92447i | 0.837719 | − | 0.182663i | ||||
\(112\) | −6.82409 | + | 9.89704i | −0.644816 | + | 0.935183i | ||||
\(113\) | 13.6623 | + | 2.05926i | 1.28524 | + | 0.193718i | 0.755897 | − | 0.654691i | \(-0.227201\pi\) |
0.529341 | + | 0.848409i | \(0.322439\pi\) | |||||||
\(114\) | 2.59450 | + | 1.04746i | 0.242997 | + | 0.0981032i | ||||
\(115\) | −4.29966 | − | 18.8380i | −0.400945 | − | 1.75665i | ||||
\(116\) | −0.425097 | − | 0.736290i | −0.0394693 | − | 0.0683628i | ||||
\(117\) | −9.19891 | − | 12.0063i | −0.850440 | − | 1.10998i | ||||
\(118\) | 2.35029 | + | 10.2973i | 0.216362 | + | 0.947942i | ||||
\(119\) | −14.1381 | + | 0.984873i | −1.29603 | + | 0.0902832i | ||||
\(120\) | 0.481637 | − | 2.99762i | 0.0439672 | − | 0.273644i | ||||
\(121\) | 2.44423 | − | 10.7089i | 0.222203 | − | 0.973533i | ||||
\(122\) | 2.14362 | + | 5.46185i | 0.194074 | + | 0.494492i | ||||
\(123\) | −8.30574 | − | 0.703610i | −0.748903 | − | 0.0634424i | ||||
\(124\) | 16.0635 | − | 4.95494i | 1.44255 | − | 0.444966i | ||||
\(125\) | −1.29328 | + | 5.66623i | −0.115674 | + | 0.506803i | ||||
\(126\) | 0.375442 | − | 15.2123i | 0.0334470 | − | 1.35522i | ||||
\(127\) | −4.48853 | − | 19.6655i | −0.398293 | − | 1.74503i | −0.634116 | − | 0.773238i | \(-0.718636\pi\) |
0.235823 | − | 0.971796i | \(-0.424221\pi\) | |||||||
\(128\) | 2.45598 | + | 4.25389i | 0.217080 | + | 0.375994i | ||||
\(129\) | 1.18252 | − | 2.39572i | 0.104115 | − | 0.210931i | ||||
\(130\) | 26.0212 | + | 8.02647i | 2.28221 | + | 0.703968i | ||||
\(131\) | 15.1805 | + | 7.31054i | 1.32633 | + | 0.638725i | 0.956868 | − | 0.290523i | \(-0.0938292\pi\) |
0.369457 | + | 0.929248i | \(0.379544\pi\) | |||||||
\(132\) | 0.154758 | + | 0.329506i | 0.0134699 | + | 0.0286798i | ||||
\(133\) | 2.07947 | − | 0.803556i | 0.180313 | − | 0.0696772i | ||||
\(134\) | 16.6361 | + | 20.8610i | 1.43714 | + | 1.80212i | ||||
\(135\) | 5.96469 | + | 13.3687i | 0.513359 | + | 1.15060i | ||||
\(136\) | −1.21762 | + | 3.10244i | −0.104410 | + | 0.266032i | ||||
\(137\) | 4.21693 | + | 2.03077i | 0.360277 | + | 0.173500i | 0.605261 | − | 0.796027i | \(-0.293069\pi\) |
−0.244985 | + | 0.969527i | \(0.578783\pi\) | |||||||
\(138\) | −22.6933 | − | 1.92243i | −1.93178 | − | 0.163648i | ||||
\(139\) | −6.83857 | − | 4.66246i | −0.580040 | − | 0.395464i | 0.237457 | − | 0.971398i | \(-0.423686\pi\) |
−0.817496 | + | 0.575934i | \(0.804639\pi\) | |||||||
\(140\) | 6.98078 | + | 10.3553i | 0.589984 | + | 0.875186i | ||||
\(141\) | 2.04924 | + | 14.5535i | 0.172577 | + | 1.22562i | ||||
\(142\) | −0.836448 | − | 0.570281i | −0.0701932 | − | 0.0478569i | ||||
\(143\) | 0.604358 | − | 0.186420i | 0.0505389 | − | 0.0155892i | ||||
\(144\) | −12.1641 | − | 6.15180i | −1.01368 | − | 0.512650i | ||||
\(145\) | 1.41363 | − | 0.213070i | 0.117395 | − | 0.0176945i | ||||
\(146\) | 7.36069 | − | 12.7491i | 0.609175 | − | 1.05512i | ||||
\(147\) | −8.06532 | − | 9.05265i | −0.665217 | − | 0.746650i | ||||
\(148\) | 4.36908 | + | 7.56748i | 0.359137 | + | 0.622043i | ||||
\(149\) | −10.7102 | − | 13.4302i | −0.877417 | − | 1.10025i | −0.994249 | − | 0.107094i | \(-0.965845\pi\) |
0.116832 | − | 0.993152i | \(-0.462726\pi\) | |||||||
\(150\) | −8.39834 | − | 4.95815i | −0.685721 | − | 0.404832i | ||||
\(151\) | −3.07331 | + | 13.4651i | −0.250102 | + | 1.09577i | 0.681365 | + | 0.731944i | \(0.261387\pi\) |
−0.931467 | + | 0.363826i | \(0.881470\pi\) | |||||||
\(152\) | 0.0391779 | − | 0.522793i | 0.00317775 | − | 0.0424041i | ||||
\(153\) | −3.27091 | − | 15.7335i | −0.264438 | − | 1.27198i | ||||
\(154\) | 0.591080 | + | 0.235571i | 0.0476305 | + | 0.0189828i | ||||
\(155\) | −2.11235 | + | 28.1874i | −0.169668 | + | 2.26407i | ||||
\(156\) | 8.35894 | − | 12.0081i | 0.669251 | − | 0.961415i | ||||
\(157\) | −17.3208 | + | 11.8091i | −1.38235 | + | 0.942468i | −0.382518 | + | 0.923948i | \(0.624943\pi\) |
−0.999828 | + | 0.0185197i | \(0.994105\pi\) | |||||||
\(158\) | −0.454221 | + | 0.0684627i | −0.0361358 | + | 0.00544660i | ||||
\(159\) | −0.344878 | + | 0.364525i | −0.0273506 | + | 0.0289087i | ||||
\(160\) | 20.8007 | − | 3.13520i | 1.64444 | − | 0.247860i | ||||
\(161\) | −14.2464 | + | 11.2392i | −1.12277 | + | 0.885776i | ||||
\(162\) | 17.1486 | − | 1.90704i | 1.34732 | − | 0.149831i | ||||
\(163\) | 13.0766 | − | 8.91544i | 1.02423 | − | 0.698311i | 0.0700543 | − | 0.997543i | \(-0.477683\pi\) |
0.954180 | + | 0.299232i | \(0.0967304\pi\) | |||||||
\(164\) | −1.79422 | − | 7.86100i | −0.140105 | − | 0.613841i | ||||
\(165\) | −0.610831 | + | 0.0398139i | −0.0475531 | + | 0.00309950i | ||||
\(166\) | −2.78192 | −0.215919 | ||||||||
\(167\) | −15.8701 | + | 14.7253i | −1.22807 | + | 1.13948i | −0.242507 | + | 0.970150i | \(0.577970\pi\) |
−0.985560 | + | 0.169329i | \(0.945840\pi\) | |||||||
\(168\) | −2.73682 | + | 0.799551i | −0.211150 | + | 0.0616867i | ||||
\(169\) | −9.10369 | − | 8.44699i | −0.700284 | − | 0.649769i | ||||
\(170\) | 21.2086 | + | 19.6787i | 1.62662 | + | 1.50929i | ||||
\(171\) | 1.22115 | + | 2.21329i | 0.0933837 | + | 0.169255i | ||||
\(172\) | 2.55551 | + | 0.385182i | 0.194856 | + | 0.0293698i | ||||
\(173\) | 14.9263 | − | 4.60415i | 1.13483 | − | 0.350047i | 0.330248 | − | 0.943894i | \(-0.392868\pi\) |
0.804578 | + | 0.593847i | \(0.202392\pi\) | |||||||
\(174\) | 0.267306 | − | 1.66366i | 0.0202644 | − | 0.126122i | ||||
\(175\) | −7.58481 | + | 1.68933i | −0.573357 | + | 0.127701i | ||||
\(176\) | 0.417832 | − | 0.387691i | 0.0314952 | − | 0.0292233i | ||||
\(177\) | −4.22357 | + | 8.55674i | −0.317463 | + | 0.643164i | ||||
\(178\) | 1.65358 | 0.123941 | ||||||||
\(179\) | −2.34915 | + | 2.17969i | −0.175583 | + | 0.162918i | −0.763069 | − | 0.646317i | \(-0.776308\pi\) |
0.587486 | + | 0.809235i | \(0.300118\pi\) | |||||||
\(180\) | −10.5657 | + | 9.42829i | −0.787517 | + | 0.702743i | ||||
\(181\) | −1.37004 | + | 1.71797i | −0.101834 | + | 0.127696i | −0.830137 | − | 0.557559i | \(-0.811738\pi\) |
0.728303 | + | 0.685255i | \(0.240309\pi\) | |||||||
\(182\) | −3.67864 | − | 25.3071i | −0.272679 | − | 1.87589i | ||||
\(183\) | −1.61160 | + | 5.05003i | −0.119133 | + | 0.373309i | ||||
\(184\) | 0.949567 | + | 4.16032i | 0.0700030 | + | 0.306703i | ||||
\(185\) | −14.5290 | + | 2.18990i | −1.06820 | + | 0.161005i | ||||
\(186\) | 30.8937 | + | 12.4725i | 2.26524 | + | 0.914527i | ||||
\(187\) | 0.664455 | + | 0.100151i | 0.0485898 | + | 0.00732373i | ||||
\(188\) | −12.8090 | + | 6.16847i | −0.934190 | + | 0.449882i | ||||
\(189\) | 8.93604 | − | 10.4474i | 0.650001 | − | 0.759933i | ||||
\(190\) | −4.10034 | − | 1.97462i | −0.297470 | − | 0.143254i | ||||
\(191\) | −8.20371 | − | 5.59319i | −0.593599 | − | 0.404709i | 0.228921 | − | 0.973445i | \(-0.426480\pi\) |
−0.822520 | + | 0.568736i | \(0.807433\pi\) | |||||||
\(192\) | 1.43629 | − | 8.93918i | 0.103655 | − | 0.645130i | ||||
\(193\) | −0.652715 | + | 8.70988i | −0.0469835 | + | 0.626951i | 0.923160 | + | 0.384417i | \(0.125598\pi\) |
−0.970143 | + | 0.242534i | \(0.922022\pi\) | |||||||
\(194\) | −21.0271 | − | 26.3671i | −1.50966 | − | 1.89305i | ||||
\(195\) | 13.6607 | + | 20.4607i | 0.978260 | + | 1.46522i | ||||
\(196\) | 5.97046 | − | 10.0948i | 0.426462 | − | 0.721058i | ||||
\(197\) | −19.1338 | −1.36323 | −0.681614 | − | 0.731712i | \(-0.738722\pi\) | ||||
−0.681614 | + | 0.731712i | \(0.738722\pi\) | |||||||
\(198\) | −0.174178 | + | 0.700148i | −0.0123783 | + | 0.0497574i | ||||
\(199\) | 18.4859 | + | 12.6035i | 1.31043 | + | 0.893439i | 0.998395 | − | 0.0566304i | \(-0.0180357\pi\) |
0.312039 | + | 0.950069i | \(0.398988\pi\) | |||||||
\(200\) | −0.406631 | + | 1.78157i | −0.0287532 | + | 0.125976i | ||||
\(201\) | −0.234117 | + | 24.1049i | −0.0165133 | + | 1.70023i | ||||
\(202\) | −0.642612 | − | 8.57506i | −0.0452140 | − | 0.603339i | ||||
\(203\) | −0.750453 | − | 1.11323i | −0.0526715 | − | 0.0781333i | ||||
\(204\) | 13.5371 | − | 7.64132i | 0.947787 | − | 0.535000i | ||||
\(205\) | 13.4067 | + | 2.02073i | 0.936364 | + | 0.141134i | ||||
\(206\) | 1.87475 | + | 25.0168i | 0.130620 | + | 1.74301i | ||||
\(207\) | −14.8084 | − | 14.2854i | −1.02925 | − | 0.992901i | ||||
\(208\) | −21.8905 | − | 6.75234i | −1.51784 | − | 0.468190i | ||||
\(209\) | −0.104520 | + | 0.0157538i | −0.00722979 | + | 0.00108972i | ||||
\(210\) | −2.21875 | + | 24.6515i | −0.153108 | + | 1.70111i | ||||
\(211\) | −9.52226 | − | 1.43525i | −0.655539 | − | 0.0988066i | −0.187153 | − | 0.982331i | \(-0.559926\pi\) |
−0.468386 | + | 0.883524i | \(0.655164\pi\) | |||||||
\(212\) | −0.437349 | − | 0.210616i | −0.0300373 | − | 0.0144652i | ||||
\(213\) | −0.261087 | − | 0.876558i | −0.0178894 | − | 0.0600608i | ||||
\(214\) | −10.9900 | −0.751263 | ||||||||
\(215\) | −2.17281 | + | 3.76341i | −0.148184 | + | 0.256662i | ||||
\(216\) | −1.31729 | − | 2.95244i | −0.0896299 | − | 0.200888i | ||||
\(217\) | 24.7611 | − | 9.56827i | 1.68089 | − | 0.649537i | ||||
\(218\) | 12.5780 | + | 11.6707i | 0.851892 | + | 0.790441i | ||||
\(219\) | 12.4273 | − | 4.73858i | 0.839757 | − | 0.320204i | ||||
\(220\) | −0.216329 | − | 0.551197i | −0.0145849 | − | 0.0371617i | ||||
\(221\) | −9.86662 | − | 25.1397i | −0.663701 | − | 1.69108i | ||||
\(222\) | −2.74733 | + | 17.0989i | −0.184389 | + | 1.14760i | ||||
\(223\) | −9.68406 | − | 8.98549i | −0.648493 | − | 0.601713i | 0.285770 | − | 0.958298i | \(-0.407751\pi\) |
−0.934263 | + | 0.356585i | \(0.883941\pi\) | |||||||
\(224\) | −11.0425 | − | 16.3805i | −0.737809 | − | 1.09447i | ||||
\(225\) | −3.05914 | − | 8.26299i | −0.203943 | − | 0.550866i | ||||
\(226\) | −13.2442 | + | 22.9397i | −0.880993 | + | 1.52592i | ||||
\(227\) | −24.9145 | −1.65364 | −0.826818 | − | 0.562469i | \(-0.809852\pi\) | ||||
−0.826818 | + | 0.562469i | \(0.809852\pi\) | |||||||
\(228\) | −1.68051 | + | 1.77624i | −0.111294 | + | 0.117635i | ||||
\(229\) | 17.4960 | + | 8.42562i | 1.15617 | + | 0.556781i | 0.910881 | − | 0.412670i | \(-0.135404\pi\) |
0.245286 | + | 0.969451i | \(0.421118\pi\) | |||||||
\(230\) | 36.6303 | + | 5.52113i | 2.41533 | + | 0.364053i | ||||
\(231\) | 0.279949 | + | 0.502088i | 0.0184193 | + | 0.0330350i | ||||
\(232\) | −0.312195 | + | 0.0470559i | −0.0204966 | + | 0.00308937i | ||||
\(233\) | 14.6695 | + | 4.52495i | 0.961032 | + | 0.296439i | 0.735294 | − | 0.677749i | \(-0.237044\pi\) |
0.225739 | + | 0.974188i | \(0.427520\pi\) | |||||||
\(234\) | 27.8697 | − | 8.00726i | 1.82190 | − | 0.523451i | ||||
\(235\) | −1.78646 | − | 23.8387i | −0.116536 | − | 1.55507i | ||||
\(236\) | −9.12749 | − | 1.37575i | −0.594149 | − | 0.0895535i | ||||
\(237\) | −0.357369 | − | 0.210981i | −0.0232136 | − | 0.0137047i | ||||
\(238\) | 8.14485 | − | 25.9209i | 0.527952 | − | 1.68020i | ||||
\(239\) | 0.174779 | + | 2.33226i | 0.0113055 | + | 0.150862i | 1.00000 | 0.000914828i | \(0.000291199\pi\) | |
−0.988694 | + | 0.149947i | \(0.952090\pi\) | |||||||
\(240\) | 19.0929 | + | 11.2719i | 1.23244 | + | 0.727601i | ||||
\(241\) | −2.60855 | + | 11.4288i | −0.168031 | + | 0.736194i | 0.818752 | + | 0.574148i | \(0.194667\pi\) |
−0.986783 | + | 0.162046i | \(0.948191\pi\) | |||||||
\(242\) | 17.3993 | + | 11.8627i | 1.11847 | + | 0.762561i | ||||
\(243\) | 13.1057 | + | 8.44035i | 0.840734 | + | 0.541449i | ||||
\(244\) | −5.12776 | −0.328271 | ||||||||
\(245\) | 12.1332 | + | 15.5467i | 0.775161 | + | 0.993243i | ||||
\(246\) | 7.07313 | − | 14.3298i | 0.450966 | − | 0.913635i | ||||
\(247\) | 2.64870 | + | 3.32136i | 0.168533 | + | 0.211333i | ||||
\(248\) | 0.466507 | − | 6.22511i | 0.0296232 | − | 0.395295i | ||||
\(249\) | −1.94969 | − | 1.58604i | −0.123556 | − | 0.100511i | ||||
\(250\) | −9.20626 | − | 6.27672i | −0.582255 | − | 0.396975i | ||||
\(251\) | 17.9137 | + | 8.62676i | 1.13070 | + | 0.544516i | 0.903182 | − | 0.429258i | \(-0.141225\pi\) |
0.227518 | + | 0.973774i | \(0.426939\pi\) | |||||||
\(252\) | 12.2556 | + | 5.16246i | 0.772033 | + | 0.325205i | ||||
\(253\) | 0.775167 | − | 0.373301i | 0.0487344 | − | 0.0234692i | ||||
\(254\) | 38.2394 | + | 5.76367i | 2.39935 | + | 0.361645i | ||||
\(255\) | 3.64454 | + | 25.8832i | 0.228230 | + | 1.62087i | ||||
\(256\) | −19.6495 | + | 2.96168i | −1.22809 | + | 0.185105i | ||||
\(257\) | 5.52123 | + | 24.1901i | 0.344405 | + | 1.50894i | 0.789667 | + | 0.613536i | \(0.210254\pi\) |
−0.445262 | + | 0.895401i | \(0.646889\pi\) | |||||||
\(258\) | 3.44721 | + | 3.78834i | 0.214614 | + | 0.235852i | ||||
\(259\) | 7.71305 | + | 11.4416i | 0.479266 | + | 0.710946i | ||||
\(260\) | −14.8379 | + | 18.6061i | −0.920205 | + | 1.15390i | ||||
\(261\) | 1.13584 | − | 1.01357i | 0.0703065 | − | 0.0627382i | ||||
\(262\) | −23.6792 | + | 21.9711i | −1.46290 | + | 1.35738i | ||||
\(263\) | −7.63981 | −0.471091 | −0.235545 | − | 0.971863i | \(-0.575688\pi\) | ||||
−0.235545 | + | 0.971863i | \(0.575688\pi\) | |||||||
\(264\) | 0.134900 | − | 0.00879278i | 0.00830254 | − | 0.000541158i | ||||
\(265\) | 0.598340 | − | 0.555178i | 0.0367557 | − | 0.0341043i | ||||
\(266\) | −0.0224425 | + | 4.27389i | −0.00137604 | + | 0.262049i | ||||
\(267\) | 1.15890 | + | 0.942751i | 0.0709236 | + | 0.0576954i | ||||
\(268\) | −22.2825 | + | 6.87325i | −1.36112 | + | 0.419850i | ||||
\(269\) | 17.1716 | + | 2.58820i | 1.04697 | + | 0.157805i | 0.649928 | − | 0.759996i | \(-0.274799\pi\) |
0.397041 | + | 0.917801i | \(0.370037\pi\) | |||||||
\(270\) | −28.0359 | + | 1.28111i | −1.70621 | + | 0.0779657i | ||||
\(271\) | −11.7712 | − | 10.9221i | −0.715049 | − | 0.663468i | 0.236267 | − | 0.971688i | \(-0.424076\pi\) |
−0.951315 | + | 0.308220i | \(0.900267\pi\) | |||||||
\(272\) | −17.8419 | − | 16.5549i | −1.08182 | − | 1.00379i | ||||
\(273\) | 11.8501 | − | 19.8336i | 0.717201 | − | 1.20038i | ||||
\(274\) | −6.57775 | + | 6.10326i | −0.397376 | + | 0.368711i | ||||
\(275\) | 0.368435 | 0.0222175 | ||||||||
\(276\) | 8.80955 | − | 17.8477i | 0.530272 | − | 1.07431i | ||||
\(277\) | 2.75504 | + | 12.0706i | 0.165535 | + | 0.725254i | 0.987746 | + | 0.156072i | \(0.0498831\pi\) |
−0.822211 | + | 0.569183i | \(0.807260\pi\) | |||||||
\(278\) | 13.1106 | − | 8.93863i | 0.786319 | − | 0.536103i | ||||
\(279\) | 14.5407 | + | 26.3546i | 0.870532 | + | 1.57781i | ||||
\(280\) | 4.52674 | − | 1.00822i | 0.270525 | − | 0.0602527i | ||||
\(281\) | 12.9525 | − | 1.95228i | 0.772683 | − | 0.116463i | 0.249146 | − | 0.968466i | \(-0.419850\pi\) |
0.523537 | + | 0.852003i | \(0.324612\pi\) | |||||||
\(282\) | −27.4078 | − | 6.53634i | −1.63211 | − | 0.389233i | ||||
\(283\) | −2.51935 | + | 0.379732i | −0.149760 | + | 0.0225727i | −0.223494 | − | 0.974705i | \(-0.571746\pi\) |
0.0737343 | + | 0.997278i | \(0.476508\pi\) | |||||||
\(284\) | 0.731001 | − | 0.498388i | 0.0433769 | − | 0.0295739i | ||||
\(285\) | −1.74791 | − | 3.72160i | −0.103537 | − | 0.220449i | ||||
\(286\) | −0.0906112 | + | 1.20912i | −0.00535795 | + | 0.0714969i | ||||
\(287\) | −3.68908 | − | 12.1865i | −0.217759 | − | 0.719348i | ||||
\(288\) | 16.7132 | − | 14.9141i | 0.984835 | − | 0.878821i | ||||
\(289\) | 0.873856 | − | 11.6608i | 0.0514033 | − | 0.685930i | ||||
\(290\) | −0.609873 | + | 2.67203i | −0.0358130 | + | 0.156907i | ||||
\(291\) | 0.295911 | − | 30.4673i | 0.0173466 | − | 1.78602i | ||||
\(292\) | 8.02152 | + | 10.0587i | 0.469424 | + | 0.588639i | ||||
\(293\) | −0.203357 | − | 0.352225i | −0.0118803 | − | 0.0205772i | 0.860024 | − | 0.510253i | \(-0.170448\pi\) |
−0.871904 | + | 0.489676i | \(0.837115\pi\) | |||||||
\(294\) | 21.8046 | − | 8.05297i | 1.27167 | − | 0.469659i | ||||
\(295\) | 7.76057 | − | 13.4417i | 0.451838 | − | 0.782606i | ||||
\(296\) | 3.20870 | − | 0.483633i | 0.186502 | − | 0.0281106i | ||||
\(297\) | −0.521244 | + | 0.391390i | −0.0302456 | + | 0.0227108i | ||||
\(298\) | 31.4695 | − | 9.70705i | 1.82298 | − | 0.562314i | ||||
\(299\) | −28.5705 | − | 19.4790i | −1.65227 | − | 1.12650i | ||||
\(300\) | 6.71502 | − | 5.24918i | 0.387692 | − | 0.303061i | ||||
\(301\) | 4.06797 | + | 0.326342i | 0.234474 | + | 0.0188100i | ||||
\(302\) | −21.8775 | − | 14.9158i | −1.25891 | − | 0.858308i | ||||
\(303\) | 4.43849 | − | 6.37614i | 0.254985 | − | 0.366299i | ||||
\(304\) | 3.44944 | + | 1.66116i | 0.197839 | + | 0.0952743i | ||||
\(305\) | 3.15007 | − | 8.02625i | 0.180372 | − | 0.459582i | ||||
\(306\) | 30.3694 | + | 5.18259i | 1.73610 | + | 0.296269i | ||||
\(307\) | 8.00003 | + | 10.0317i | 0.456586 | + | 0.572541i | 0.955830 | − | 0.293921i | \(-0.0949602\pi\) |
−0.499244 | + | 0.866462i | \(0.666389\pi\) | |||||||
\(308\) | −0.380364 | + | 0.405642i | −0.0216733 | + | 0.0231136i | ||||
\(309\) | −12.9488 | + | 18.6017i | −0.736634 | + | 1.05821i | ||||
\(310\) | −48.8244 | − | 23.5126i | −2.77304 | − | 1.33543i | ||||
\(311\) | 16.2161 | + | 5.00200i | 0.919529 | + | 0.283637i | 0.718160 | − | 0.695878i | \(-0.244985\pi\) |
0.201369 | + | 0.979515i | \(0.435461\pi\) | |||||||
\(312\) | −3.01692 | − | 4.51868i | −0.170799 | − | 0.255820i | ||||
\(313\) | −2.28367 | − | 3.95543i | −0.129081 | − | 0.223574i | 0.794240 | − | 0.607604i | \(-0.207869\pi\) |
−0.923321 | + | 0.384030i | \(0.874536\pi\) | |||||||
\(314\) | −8.94310 | − | 39.1823i | −0.504688 | − | 2.21118i | ||||
\(315\) | −15.6094 | + | 16.0118i | −0.879492 | + | 0.902164i | ||||
\(316\) | 0.0893294 | − | 0.391378i | 0.00502517 | − | 0.0220167i | ||||
\(317\) | −5.39801 | + | 1.66507i | −0.303183 | + | 0.0935194i | −0.442614 | − | 0.896712i | \(-0.645949\pi\) |
0.139431 | + | 0.990232i | \(0.455473\pi\) | |||||||
\(318\) | −0.408983 | − | 0.870796i | −0.0229346 | − | 0.0488318i | ||||
\(319\) | 0.0232559 | + | 0.0592552i | 0.00130208 | + | 0.00331765i | ||||
\(320\) | −3.27696 | + | 14.3573i | −0.183188 | + | 0.802599i | ||||
\(321\) | −7.70228 | − | 6.26570i | −0.429899 | − | 0.349717i | ||||
\(322\) | −10.0795 | − | 33.2966i | −0.561706 | − | 1.85554i | ||||
\(323\) | 1.00436 | + | 4.40037i | 0.0558838 | + | 0.244843i | ||||
\(324\) | −3.92387 | + | 14.5597i | −0.217993 | + | 0.808871i | ||||
\(325\) | −7.40384 | − | 12.8238i | −0.410691 | − | 0.711338i | ||||
\(326\) | 6.75172 | + | 29.5812i | 0.373943 | + | 1.63835i | ||||
\(327\) | 2.16145 | + | 15.3504i | 0.119528 | + | 0.848879i | ||||
\(328\) | −2.96083 | − | 0.446273i | −0.163484 | − | 0.0246413i | ||||
\(329\) | −19.5010 | + | 11.1228i | −1.07513 | + | 0.613220i | ||||
\(330\) | 0.356782 | − | 1.11799i | 0.0196402 | − | 0.0615433i | ||||
\(331\) | −26.1610 | + | 24.2738i | −1.43794 | + | 1.33421i | −0.586280 | + | 0.810109i | \(0.699408\pi\) |
−0.851656 | + | 0.524101i | \(0.824401\pi\) | |||||||
\(332\) | 0.888222 | − | 2.26315i | 0.0487475 | − | 0.124207i | ||||
\(333\) | −11.6740 | + | 10.4173i | −0.639729 | + | 0.570864i | ||||
\(334\) | −15.1635 | − | 38.6360i | −0.829710 | − | 2.11407i | ||||
\(335\) | 2.93015 | − | 39.1002i | 0.160091 | − | 2.13627i | ||||
\(336\) | 1.86654 | − | 20.7383i | 0.101828 | − | 1.13136i | ||||
\(337\) | −0.103588 | − | 1.38229i | −0.00564280 | − | 0.0752979i | 0.993671 | − | 0.112326i | \(-0.0358300\pi\) |
−0.999314 | + | 0.0370279i | \(0.988211\pi\) | |||||||
\(338\) | 21.4511 | − | 10.3303i | 1.16678 | − | 0.561893i | ||||
\(339\) | −22.3606 | + | 8.52622i | −1.21446 | + | 0.463081i | ||||
\(340\) | −22.7806 | + | 10.9706i | −1.23545 | + | 0.594962i | ||||
\(341\) | −1.24456 | + | 0.187587i | −0.0673967 | + | 0.0101584i | ||||
\(342\) | −4.80520 | + | 0.629077i | −0.259836 | + | 0.0340166i | ||||
\(343\) | 8.29749 | − | 16.5575i | 0.448022 | − | 0.894022i | ||||
\(344\) | 0.479858 | − | 0.831138i | 0.0258722 | − | 0.0448120i | ||||
\(345\) | 22.5243 | + | 24.7533i | 1.21267 | + | 1.33268i | ||||
\(346\) | −2.23790 | + | 29.8627i | −0.120310 | + | 1.60543i | ||||
\(347\) | 12.2445 | + | 11.3613i | 0.657322 | + | 0.609905i | 0.936640 | − | 0.350293i | \(-0.113918\pi\) |
−0.279319 | + | 0.960199i | \(0.590109\pi\) | |||||||
\(348\) | 1.26808 | + | 0.748640i | 0.0679762 | + | 0.0401313i | ||||
\(349\) | 2.54306 | − | 1.73383i | 0.136127 | − | 0.0928099i | −0.493342 | − | 0.869835i | \(-0.664225\pi\) |
0.629469 | + | 0.777026i | \(0.283272\pi\) | |||||||
\(350\) | 2.29768 | − | 14.7193i | 0.122816 | − | 0.786777i | ||||
\(351\) | 24.0974 | + | 10.2774i | 1.28622 | + | 0.548567i | ||||
\(352\) | 0.342198 | + | 0.871907i | 0.0182392 | + | 0.0464728i | ||||
\(353\) | 19.8394 | + | 9.55415i | 1.05594 | + | 0.508516i | 0.879551 | − | 0.475804i | \(-0.157843\pi\) |
0.176393 | + | 0.984320i | \(0.443557\pi\) | |||||||
\(354\) | −12.3123 | − | 13.5307i | −0.654392 | − | 0.719151i | ||||
\(355\) | 0.331038 | + | 1.45037i | 0.0175697 | + | 0.0769777i | ||||
\(356\) | −0.527963 | + | 1.34523i | −0.0279820 | + | 0.0712969i | ||||
\(357\) | 20.4865 | − | 13.5229i | 1.08426 | − | 0.715708i | ||||
\(358\) | −2.24455 | − | 5.71903i | −0.118628 | − | 0.302260i | ||||
\(359\) | −14.4616 | + | 9.85974i | −0.763253 | + | 0.520377i | −0.881258 | − | 0.472636i | \(-0.843303\pi\) |
0.118005 | + | 0.993013i | \(0.462350\pi\) | |||||||
\(360\) | 1.82575 | + | 4.93150i | 0.0962253 | + | 0.259913i | ||||
\(361\) | 9.14501 | + | 15.8396i | 0.481316 | + | 0.833664i | ||||
\(362\) | −2.10634 | − | 3.64829i | −0.110707 | − | 0.191750i | ||||
\(363\) | 5.43098 | + | 18.2337i | 0.285052 | + | 0.957019i | ||||
\(364\) | 21.7624 | + | 5.08751i | 1.14066 | + | 0.266658i | ||||
\(365\) | −20.6721 | + | 6.37651i | −1.08203 | + | 0.333762i | ||||
\(366\) | −7.88361 | − | 6.41321i | −0.412083 | − | 0.335224i | ||||
\(367\) | −4.16945 | + | 5.22833i | −0.217644 | + | 0.272916i | −0.878653 | − | 0.477461i | \(-0.841557\pi\) |
0.661009 | + | 0.750378i | \(0.270128\pi\) | |||||||
\(368\) | −30.8156 | − | 4.64470i | −1.60637 | − | 0.242122i | ||||
\(369\) | 13.1269 | − | 6.01036i | 0.683361 | − | 0.312887i | ||||
\(370\) | 6.26818 | − | 27.4627i | 0.325867 | − | 1.42772i | ||||
\(371\) | −0.712069 | − | 0.283790i | −0.0369688 | − | 0.0147337i | ||||
\(372\) | −20.0105 | + | 21.1505i | −1.03750 | + | 1.09660i | ||||
\(373\) | −32.6579 | −1.69096 | −0.845480 | − | 0.534007i | \(-0.820686\pi\) | ||||
−0.845480 | + | 0.534007i | \(0.820686\pi\) | |||||||
\(374\) | −0.644124 | + | 1.11566i | −0.0333069 | + | 0.0576892i | ||||
\(375\) | −2.87362 | − | 9.64772i | −0.148393 | − | 0.498206i | ||||
\(376\) | 0.394536 | + | 5.26471i | 0.0203466 | + | 0.271507i | ||||
\(377\) | 1.59511 | − | 2.00021i | 0.0821524 | − | 0.103016i | ||||
\(378\) | 12.3857 | + | 23.2649i | 0.637051 | + | 1.19662i | ||||
\(379\) | 8.64261 | + | 10.8375i | 0.443941 | + | 0.556685i | 0.952577 | − | 0.304297i | \(-0.0984215\pi\) |
−0.508636 | + | 0.860982i | \(0.669850\pi\) | |||||||
\(380\) | 2.91557 | − | 2.70525i | 0.149565 | − | 0.138776i | ||||
\(381\) | 23.5138 | + | 25.8407i | 1.20465 | + | 1.32386i | ||||
\(382\) | 15.7277 | − | 10.7230i | 0.804701 | − | 0.548636i | ||||
\(383\) | 14.2488 | − | 17.8674i | 0.728079 | − | 0.912982i | −0.270686 | − | 0.962668i | \(-0.587251\pi\) |
0.998765 | + | 0.0496857i | \(0.0158220\pi\) | |||||||
\(384\) | −7.32629 | − | 4.32524i | −0.373868 | − | 0.220722i | ||||
\(385\) | −0.401269 | − | 0.844561i | −0.0204506 | − | 0.0430428i | ||||
\(386\) | −15.0867 | − | 7.26537i | −0.767892 | − | 0.369797i | ||||
\(387\) | 0.256118 | + | 4.62037i | 0.0130192 | + | 0.234867i | ||||
\(388\) | 28.1639 | − | 8.68740i | 1.42980 | − | 0.441036i | ||||
\(389\) | −8.27647 | + | 3.98574i | −0.419634 | + | 0.202085i | −0.631771 | − | 0.775155i | \(-0.717672\pi\) |
0.212138 | + | 0.977240i | \(0.431957\pi\) | |||||||
\(390\) | −46.0827 | + | 10.0482i | −2.33349 | + | 0.508812i | ||||
\(391\) | −18.3694 | − | 31.8168i | −0.928982 | − | 1.60904i | ||||
\(392\) | −2.67958 | − | 3.43345i | −0.135339 | − | 0.173415i | ||||
\(393\) | −29.1217 | + | 1.89814i | −1.46899 | + | 0.0957487i | ||||
\(394\) | 13.4016 | − | 34.1467i | 0.675162 | − | 1.72029i | ||||
\(395\) | 0.557729 | + | 0.380253i | 0.0280624 | + | 0.0191326i | ||||
\(396\) | −0.513974 | − | 0.365244i | −0.0258282 | − | 0.0183542i | ||||
\(397\) | −0.0445092 | + | 0.593934i | −0.00223385 | + | 0.0298087i | −0.998209 | − | 0.0598174i | \(-0.980948\pi\) |
0.995975 | + | 0.0896261i | \(0.0285672\pi\) | |||||||
\(398\) | −35.4403 | + | 24.1628i | −1.77646 | + | 1.21117i | ||||
\(399\) | −2.45239 | + | 2.98253i | −0.122773 | + | 0.149313i | ||||
\(400\) | −11.0263 | − | 7.51759i | −0.551314 | − | 0.375879i | ||||
\(401\) | 9.63564 | − | 12.0827i | 0.481181 | − | 0.603382i | −0.480688 | − | 0.876892i | \(-0.659613\pi\) |
0.961869 | + | 0.273510i | \(0.0881845\pi\) | |||||||
\(402\) | −42.8543 | − | 17.3012i | −2.13738 | − | 0.862907i | ||||
\(403\) | 31.5391 | + | 39.5488i | 1.57108 | + | 1.97007i | ||||
\(404\) | 7.18118 | + | 2.21510i | 0.357277 | + | 0.110205i | ||||
\(405\) | −20.3791 | − | 15.0861i | −1.01265 | − | 0.749635i | ||||
\(406\) | 2.51232 | − | 0.559558i | 0.124684 | − | 0.0277704i | ||||
\(407\) | −0.239021 | − | 0.609016i | −0.0118478 | − | 0.0301878i | ||||
\(408\) | −0.804887 | − | 5.71624i | −0.0398479 | − | 0.282996i | ||||
\(409\) | 1.36428 | + | 0.420825i | 0.0674594 | + | 0.0208085i | 0.328301 | − | 0.944573i | \(-0.393524\pi\) |
−0.260842 | + | 0.965382i | \(0.584000\pi\) | |||||||
\(410\) | −12.9965 | + | 22.5106i | −0.641850 | + | 1.11172i | ||||
\(411\) | −8.08959 | + | 0.527278i | −0.399030 | + | 0.0260087i | ||||
\(412\) | −20.9503 | − | 6.46232i | −1.03215 | − | 0.318376i | ||||
\(413\) | −14.5295 | − | 1.16559i | −0.714950 | − | 0.0573549i | ||||
\(414\) | 35.8660 | − | 16.4218i | 1.76272 | − | 0.807086i | ||||
\(415\) | 2.99676 | + | 2.78059i | 0.147105 | + | 0.136494i | ||||
\(416\) | 23.4712 | − | 29.4319i | 1.15077 | − | 1.44302i | ||||
\(417\) | 14.2846 | + | 1.21010i | 0.699519 | + | 0.0592588i | ||||
\(418\) | 0.0450924 | − | 0.197563i | 0.00220554 | − | 0.00966311i | ||||
\(419\) | 29.5138 | − | 9.10379i | 1.44184 | − | 0.444749i | 0.527452 | − | 0.849585i | \(-0.323148\pi\) |
0.914389 | + | 0.404836i | \(0.132671\pi\) | |||||||
\(420\) | −19.3461 | − | 9.67582i | −0.943993 | − | 0.472132i | ||||
\(421\) | −21.0336 | − | 6.48800i | −1.02511 | − | 0.316206i | −0.263791 | − | 0.964580i | \(-0.584973\pi\) |
−0.761322 | + | 0.648374i | \(0.775449\pi\) | |||||||
\(422\) | 9.23090 | − | 15.9884i | 0.449353 | − | 0.778302i | ||||
\(423\) | −15.4820 | − | 20.2069i | −0.752762 | − | 0.982491i | ||||
\(424\) | −0.132142 | + | 0.122610i | −0.00641737 | + | 0.00595444i | ||||
\(425\) | −1.17570 | − | 15.6886i | −0.0570298 | − | 0.761009i | ||||
\(426\) | 1.74720 | + | 0.148011i | 0.0846519 | + | 0.00717117i | ||||
\(427\) | −8.07775 | + | 0.562706i | −0.390910 | + | 0.0272312i | ||||
\(428\) | 3.50894 | − | 8.94063i | 0.169611 | − | 0.432162i | ||||
\(429\) | −0.752856 | + | 0.795745i | −0.0363482 | + | 0.0384189i | ||||
\(430\) | −5.19441 | − | 6.51358i | −0.250497 | − | 0.314113i | ||||
\(431\) | 0.523492 | + | 6.98551i | 0.0252157 | + | 0.336480i | 0.995517 | + | 0.0945812i | \(0.0301512\pi\) |
−0.970301 | + | 0.241899i | \(0.922230\pi\) | |||||||
\(432\) | 23.5854 | − | 1.07774i | 1.13475 | − | 0.0518529i | ||||
\(433\) | 7.06177 | − | 3.40077i | 0.339367 | − | 0.163431i | −0.256436 | − | 0.966561i | \(-0.582548\pi\) |
0.595803 | + | 0.803131i | \(0.296834\pi\) | |||||||
\(434\) | −0.267232 | + | 50.8910i | −0.0128275 | + | 2.44285i | ||||
\(435\) | −1.95082 | + | 1.52497i | −0.0935345 | + | 0.0731165i | ||||
\(436\) | −13.5104 | + | 6.50624i | −0.647029 | + | 0.311593i | ||||
\(437\) | 4.23636 | + | 3.93077i | 0.202653 | + | 0.188034i | ||||
\(438\) | −0.247637 | + | 25.4970i | −0.0118325 | + | 1.21829i | ||||
\(439\) | 6.85038 | − | 17.4545i | 0.326951 | − | 0.833057i | −0.669009 | − | 0.743255i | \(-0.733281\pi\) |
0.995960 | − | 0.0898026i | \(-0.0286236\pi\) | |||||||
\(440\) | −0.219888 | −0.0104828 | ||||||||
\(441\) | 19.8728 | + | 6.78753i | 0.946325 | + | 0.323216i | ||||
\(442\) | 51.7757 | 2.46272 | ||||||||
\(443\) | −9.09024 | + | 23.1616i | −0.431890 | + | 1.10044i | 0.534911 | + | 0.844909i | \(0.320345\pi\) |
−0.966801 | + | 0.255530i | \(0.917750\pi\) | |||||||
\(444\) | −13.0331 | − | 7.69442i | −0.618525 | − | 0.365161i | ||||
\(445\) | −1.78129 | − | 1.65279i | −0.0844411 | − | 0.0783499i | ||||
\(446\) | 22.8186 | − | 10.9888i | 1.08049 | − | 0.520337i | ||||
\(447\) | 27.5894 | + | 11.1385i | 1.30493 | + | 0.526831i | ||||
\(448\) | 13.4992 | − | 3.00661i | 0.637776 | − | 0.142049i | ||||
\(449\) | 31.2892 | − | 15.0681i | 1.47663 | − | 0.711108i | 0.489646 | − | 0.871921i | \(-0.337126\pi\) |
0.986985 | + | 0.160813i | \(0.0514117\pi\) | |||||||
\(450\) | 16.8890 | + | 0.328096i | 0.796155 | + | 0.0154666i | ||||
\(451\) | 0.0451147 | + | 0.602014i | 0.00212437 | + | 0.0283477i | ||||
\(452\) | −14.4333 | − | 18.0987i | −0.678884 | − | 0.851294i | ||||
\(453\) | −6.82877 | − | 22.9265i | −0.320844 | − | 1.07718i | ||||
\(454\) | 17.4505 | − | 44.4631i | 0.818992 | − | 2.08676i | ||||
\(455\) | −21.3323 | + | 30.9384i | −1.00007 | + | 1.45042i | ||||
\(456\) | 0.386021 | + | 0.821906i | 0.0180771 | + | 0.0384893i | ||||
\(457\) | −0.240922 | − | 3.21487i | −0.0112698 | − | 0.150386i | −1.00000 | 0.000675406i | \(-0.999785\pi\) | |
0.988730 | − | 0.149710i | \(-0.0478340\pi\) | |||||||
\(458\) | −27.2910 | + | 25.3223i | −1.27522 | + | 1.18323i | ||||
\(459\) | 18.3294 | + | 20.9465i | 0.855543 | + | 0.977701i | ||||
\(460\) | −16.1870 | + | 28.0368i | −0.754725 | + | 1.30722i | ||||
\(461\) | −37.2862 | − | 11.5013i | −1.73659 | − | 0.535668i | −0.745229 | − | 0.666808i | \(-0.767660\pi\) |
−0.991364 | + | 0.131140i | \(0.958136\pi\) | |||||||
\(462\) | −1.09212 | + | 0.147934i | −0.0508099 | + | 0.00688251i | ||||
\(463\) | 20.9117 | − | 6.45041i | 0.971850 | − | 0.299776i | 0.232125 | − | 0.972686i | \(-0.425432\pi\) |
0.739724 | + | 0.672910i | \(0.234956\pi\) | |||||||
\(464\) | 0.513061 | − | 2.24787i | 0.0238182 | − | 0.104355i | ||||
\(465\) | −20.8131 | − | 44.3147i | −0.965183 | − | 2.05504i | ||||
\(466\) | −18.3501 | + | 23.0102i | −0.850050 | + | 1.06593i | ||||
\(467\) | −17.5712 | − | 16.3037i | −0.813097 | − | 0.754444i | 0.159436 | − | 0.987208i | \(-0.449032\pi\) |
−0.972533 | + | 0.232764i | \(0.925223\pi\) | |||||||
\(468\) | −2.38426 | + | 25.2292i | −0.110212 | + | 1.16622i | ||||
\(469\) | −34.3474 | + | 13.2726i | −1.58601 | + | 0.612874i | ||||
\(470\) | 43.7944 | + | 13.5088i | 2.02008 | + | 0.623113i | ||||
\(471\) | 16.0711 | − | 32.5593i | 0.740518 | − | 1.50025i | ||||
\(472\) | −1.71390 | + | 2.96856i | −0.0788886 | + | 0.136639i | ||||
\(473\) | −0.184900 | − | 0.0570342i | −0.00850172 | − | 0.00262243i | ||||
\(474\) | 0.626829 | − | 0.489996i | 0.0287912 | − | 0.0225063i | ||||
\(475\) | 0.904132 | + | 2.30369i | 0.0414844 | + | 0.105701i | ||||
\(476\) | 18.4867 | + | 14.9022i | 0.847338 | + | 0.683039i | ||||
\(477\) | 0.209831 | − | 0.843463i | 0.00960750 | − | 0.0386195i | ||||
\(478\) | −4.28463 | − | 1.32163i | −0.195975 | − | 0.0604501i | ||||
\(479\) | −10.4343 | − | 13.0842i | −0.476756 | − | 0.597834i | 0.484055 | − | 0.875038i | \(-0.339164\pi\) |
−0.960811 | + | 0.277204i | \(0.910592\pi\) | |||||||
\(480\) | −28.7052 | + | 22.4390i | −1.31021 | + | 1.02420i | ||||
\(481\) | −16.3943 | + | 20.5578i | −0.747517 | + | 0.937356i | ||||
\(482\) | −18.5691 | − | 12.6602i | −0.845797 | − | 0.576655i | ||||
\(483\) | 11.9191 | − | 29.0822i | 0.542339 | − | 1.32329i | ||||
\(484\) | −15.2059 | + | 10.3672i | −0.691176 | + | 0.471236i | ||||
\(485\) | −3.70355 | + | 49.4204i | −0.168170 | + | 2.24407i | ||||
\(486\) | −24.2423 | + | 17.4771i | −1.09965 | + | 0.792777i | ||||
\(487\) | 0.427223 | + | 0.291276i | 0.0193593 | + | 0.0131990i | 0.572961 | − | 0.819583i | \(-0.305795\pi\) |
−0.553602 | + | 0.832782i | \(0.686747\pi\) | |||||||
\(488\) | −0.695684 | + | 1.77257i | −0.0314921 | + | 0.0802407i | ||||
\(489\) | −12.1331 | + | 24.5811i | −0.548679 | + | 1.11160i | ||||
\(490\) | −36.2433 | + | 10.7641i | −1.63730 | + | 0.486271i | ||||
\(491\) | −3.42033 | − | 5.92418i | −0.154357 | − | 0.267355i | 0.778468 | − | 0.627685i | \(-0.215997\pi\) |
−0.932825 | + | 0.360330i | \(0.882664\pi\) | |||||||
\(492\) | 9.39928 | + | 10.3294i | 0.423752 | + | 0.465687i | ||||
\(493\) | 2.44898 | − | 1.17937i | 0.110296 | − | 0.0531160i | ||||
\(494\) | −7.78256 | + | 2.40060i | −0.350154 | + | 0.108008i | ||||
\(495\) | 0.887443 | − | 0.580125i | 0.0398876 | − | 0.0260747i | ||||
\(496\) | 41.0739 | + | 19.7802i | 1.84427 | + | 0.888155i | ||||
\(497\) | 1.09685 | − | 0.865328i | 0.0492006 | − | 0.0388153i | ||||
\(498\) | 4.19608 | − | 2.36857i | 0.188031 | − | 0.106138i | ||||
\(499\) | 2.42039 | − | 3.03508i | 0.108352 | − | 0.135869i | −0.724699 | − | 0.689066i | \(-0.758021\pi\) |
0.833050 | + | 0.553197i | \(0.186592\pi\) | |||||||
\(500\) | 8.04566 | − | 5.48544i | 0.359813 | − | 0.245316i | ||||
\(501\) | 11.4002 | − | 35.7229i | 0.509321 | − | 1.59598i | ||||
\(502\) | −27.9425 | + | 25.9268i | −1.24713 | + | 1.15717i | ||||
\(503\) | 17.5710 | + | 22.0333i | 0.783452 | + | 0.982417i | 0.999981 | + | 0.00614110i | \(0.00195479\pi\) |
−0.216530 | + | 0.976276i | \(0.569474\pi\) | |||||||
\(504\) | 3.44730 | − | 3.53617i | 0.153555 | − | 0.157513i | ||||
\(505\) | −7.87872 | + | 9.87960i | −0.350598 | + | 0.439637i | ||||
\(506\) | 0.123264 | + | 1.64485i | 0.00547977 | + | 0.0731224i | ||||
\(507\) | 20.9234 | + | 4.98990i | 0.929240 | + | 0.221609i | ||||
\(508\) | −16.8981 | + | 29.2684i | −0.749732 | + | 1.29857i | ||||
\(509\) | 11.3718 | 0.504045 | 0.252022 | − | 0.967721i | \(-0.418904\pi\) | ||||
0.252022 | + | 0.967721i | \(0.418904\pi\) | |||||||
\(510\) | −48.7445 | − | 11.6248i | −2.15844 | − | 0.514755i | ||||
\(511\) | 13.7401 | + | 14.9652i | 0.607826 | + | 0.662019i | ||||
\(512\) | 6.29124 | − | 27.5637i | 0.278036 | − | 1.21816i | ||||
\(513\) | −3.72634 | − | 2.29869i | −0.164522 | − | 0.101490i | ||||
\(514\) | −47.0374 | − | 7.08974i | −2.07473 | − | 0.312715i | ||||
\(515\) | 22.9853 | − | 28.8227i | 1.01286 | − | 1.27008i | ||||
\(516\) | −4.18254 | + | 1.59482i | −0.184126 | + | 0.0702081i | ||||
\(517\) | 1.01715 | − | 0.313750i | 0.0447342 | − | 0.0137987i | ||||
\(518\) | −25.8213 | + | 5.75105i | −1.13452 | + | 0.252687i | ||||
\(519\) | −18.5939 | + | 19.6531i | −0.816181 | + | 0.862677i | ||||
\(520\) | 4.41874 | + | 7.65348i | 0.193775 | + | 0.335627i | ||||
\(521\) | 1.89588 | + | 3.28377i | 0.0830602 | + | 0.143864i | 0.904563 | − | 0.426340i | \(-0.140197\pi\) |
−0.821503 | + | 0.570204i | \(0.806864\pi\) | |||||||
\(522\) | 1.01328 | + | 2.73696i | 0.0443501 | + | 0.119793i | ||||
\(523\) | 22.9408 | − | 15.6408i | 1.00313 | − | 0.683924i | 0.0539151 | − | 0.998546i | \(-0.482830\pi\) |
0.949217 | + | 0.314621i | \(0.101878\pi\) | |||||||
\(524\) | −10.3136 | − | 26.2786i | −0.450551 | − | 1.14798i | ||||
\(525\) | 10.0021 | − | 9.00591i | 0.436529 | − | 0.393050i | ||||
\(526\) | 5.35103 | − | 13.6342i | 0.233316 | − | 0.594479i | ||||
\(527\) | 11.9593 | + | 52.3970i | 0.520954 | + | 2.28245i | ||||
\(528\) | −0.300145 | + | 0.940519i | −0.0130622 | + | 0.0409308i | ||||
\(529\) | −21.6593 | − | 10.4306i | −0.941709 | − | 0.453503i | ||||
\(530\) | 0.571699 | + | 1.45667i | 0.0248330 | + | 0.0632735i | ||||
\(531\) | −0.914771 | − | 16.5025i | −0.0396977 | − | 0.716147i | ||||
\(532\) | −3.46974 | − | 1.38284i | −0.150432 | − | 0.0599539i | ||||
\(533\) | 20.0472 | − | 13.6680i | 0.868342 | − | 0.592025i | ||||
\(534\) | −2.49417 | + | 1.40789i | −0.107933 | + | 0.0609253i | ||||
\(535\) | 11.8388 | + | 10.9848i | 0.511835 | + | 0.474913i | ||||
\(536\) | −0.647116 | + | 8.63517i | −0.0279512 | + | 0.372982i | ||||
\(537\) | 1.68749 | − | 5.28781i | 0.0728205 | − | 0.228186i | ||||
\(538\) | −16.6461 | + | 28.8320i | −0.717666 | + | 1.24303i | ||||
\(539\) | −0.554674 | + | 0.680748i | −0.0238915 | + | 0.0293219i | ||||
\(540\) | 7.90919 | − | 23.2168i | 0.340358 | − | 0.999094i | ||||
\(541\) | −10.1532 | + | 1.53035i | −0.436520 | + | 0.0657947i | −0.363626 | − | 0.931545i | \(-0.618461\pi\) |
−0.0728935 | + | 0.997340i | \(0.523223\pi\) | |||||||
\(542\) | 27.7365 | − | 13.3572i | 1.19138 | − | 0.573740i | ||||
\(543\) | 0.603771 | − | 3.75776i | 0.0259103 | − | 0.161261i | ||||
\(544\) | 36.0354 | − | 17.3537i | 1.54500 | − | 0.744034i | ||||
\(545\) | −1.88429 | − | 25.1441i | −0.0807140 | − | 1.07705i | ||||
\(546\) | 27.0955 | + | 35.0397i | 1.15958 | + | 1.49956i | ||||
\(547\) | −1.03593 | + | 13.8235i | −0.0442931 | + | 0.591050i | 0.930261 | + | 0.366898i | \(0.119580\pi\) |
−0.974554 | + | 0.224152i | \(0.928039\pi\) | |||||||
\(548\) | −2.86497 | − | 7.29982i | −0.122385 | − | 0.311833i | ||||
\(549\) | −1.86883 | − | 8.98930i | −0.0797598 | − | 0.383654i | ||||
\(550\) | −0.258057 | + | 0.657518i | −0.0110036 | + | 0.0280367i | ||||
\(551\) | −0.313432 | + | 0.290822i | −0.0133526 | + | 0.0123894i | ||||
\(552\) | −4.97444 | − | 5.46671i | −0.211726 | − | 0.232679i | ||||
\(553\) | 0.0977719 | − | 0.626340i | 0.00415768 | − | 0.0266347i | ||||
\(554\) | −23.4712 | − | 3.53772i | −0.997197 | − | 0.150303i | ||||
\(555\) | 20.0502 | − | 15.6734i | 0.851084 | − | 0.665298i | ||||
\(556\) | 3.08578 | + | 13.5197i | 0.130866 | + | 0.573363i | ||||
\(557\) | 6.84289 | + | 11.8522i | 0.289942 | + | 0.502195i | 0.973796 | − | 0.227425i | \(-0.0730305\pi\) |
−0.683853 | + | 0.729620i | \(0.739697\pi\) | |||||||
\(558\) | −57.2175 | + | 7.49068i | −2.42221 | + | 0.317106i | ||||
\(559\) | 1.73050 | + | 7.58180i | 0.0731922 | + | 0.320676i | ||||
\(560\) | −5.22358 | + | 33.4630i | −0.220737 | + | 1.41407i | ||||
\(561\) | −1.08749 | + | 0.414667i | −0.0459141 | + | 0.0175073i | ||||
\(562\) | −5.58804 | + | 24.4828i | −0.235717 | + | 1.03274i | ||||
\(563\) | 7.79770 | + | 19.8682i | 0.328634 | + | 0.837346i | 0.995725 | + | 0.0923692i | \(0.0294440\pi\) |
−0.667091 | + | 0.744976i | \(0.732461\pi\) | |||||||
\(564\) | 14.0683 | − | 20.2099i | 0.592384 | − | 0.850991i | ||||
\(565\) | 37.1958 | − | 11.4734i | 1.56484 | − | 0.482689i | ||||
\(566\) | 1.08691 | − | 4.76207i | 0.0456863 | − | 0.200165i | ||||
\(567\) | −4.58353 | + | 23.3665i | −0.192490 | + | 0.981299i | ||||
\(568\) | −0.0731088 | − | 0.320310i | −0.00306758 | − | 0.0134399i | ||||
\(569\) | 1.84900 | + | 3.20257i | 0.0775142 | + | 0.134259i | 0.902177 | − | 0.431366i | \(-0.141968\pi\) |
−0.824663 | + | 0.565625i | \(0.808635\pi\) | |||||||
\(570\) | 7.86592 | − | 0.512699i | 0.329467 | − | 0.0214746i | ||||
\(571\) | −33.7337 | − | 10.4055i | −1.41171 | − | 0.435455i | −0.507170 | − | 0.861846i | \(-0.669309\pi\) |
−0.904539 | + | 0.426391i | \(0.859785\pi\) | |||||||
\(572\) | −0.954717 | − | 0.459768i | −0.0399187 | − | 0.0192239i | ||||
\(573\) | 17.1361 | + | 1.45166i | 0.715872 | + | 0.0606441i | ||||
\(574\) | 24.3323 | + | 1.95199i | 1.01561 | + | 0.0814745i | ||||
\(575\) | −12.5595 | − | 15.7491i | −0.523767 | − | 0.656783i | ||||
\(576\) | 5.44456 | + | 14.7062i | 0.226856 | + | 0.612758i | ||||
\(577\) | 10.9219 | − | 27.8286i | 0.454685 | − | 1.15852i | −0.501344 | − | 0.865248i | \(-0.667161\pi\) |
0.956029 | − | 0.293271i | \(-0.0947439\pi\) | |||||||
\(578\) | 20.1981 | + | 9.72689i | 0.840130 | + | 0.404585i | ||||
\(579\) | −6.43122 | − | 13.6932i | −0.267272 | − | 0.569070i | ||||
\(580\) | −1.97903 | − | 1.34928i | −0.0821748 | − | 0.0560258i | ||||
\(581\) | 1.15086 | − | 3.66261i | 0.0477459 | − | 0.151951i | ||||
\(582\) | 54.1654 | + | 21.8678i | 2.24523 | + | 0.906449i | ||||
\(583\) | 0.0300291 | + | 0.0204735i | 0.00124368 | + | 0.000847924i | ||||
\(584\) | 4.56538 | − | 1.40823i | 0.188917 | − | 0.0582731i | ||||
\(585\) | −38.0255 | − | 19.2307i | −1.57216 | − | 0.795092i | ||||
\(586\) | 0.771023 | − | 0.116213i | 0.0318507 | − | 0.00480072i | ||||
\(587\) | −13.6172 | + | 23.5857i | −0.562042 | + | 0.973486i | 0.435276 | + | 0.900297i | \(0.356651\pi\) |
−0.997318 | + | 0.0731888i | \(0.976682\pi\) | |||||||
\(588\) | −0.410600 | + | 20.3098i | −0.0169328 | + | 0.837560i | ||||
\(589\) | −4.22704 | − | 7.32145i | −0.174172 | − | 0.301675i | ||||
\(590\) | 18.5528 | + | 23.2644i | 0.763806 | + | 0.957782i | ||||
\(591\) | 28.8603 | − | 16.2909i | 1.18715 | − | 0.670116i | ||||
\(592\) | −5.27316 | + | 23.1032i | −0.216726 | + | 0.949537i | ||||
\(593\) | −2.03323 | + | 27.1315i | −0.0834947 | + | 1.11416i | 0.785343 | + | 0.619061i | \(0.212487\pi\) |
−0.868837 | + | 0.495098i | \(0.835132\pi\) | |||||||
\(594\) | −0.333398 | − | 1.20436i | −0.0136795 | − | 0.0494155i | ||||
\(595\) | −34.6824 | + | 19.7818i | −1.42184 | + | 0.810975i | ||||
\(596\) | −2.15080 | + | 28.7004i | −0.0881002 | + | 1.17562i | ||||
\(597\) | −38.6139 | − | 3.27113i | −1.58036 | − | 0.133878i | ||||
\(598\) | 54.7739 | − | 37.3442i | 2.23987 | − | 1.52712i | ||||
\(599\) | −10.9161 | + | 1.64534i | −0.446021 | + | 0.0672268i | −0.368213 | − | 0.929742i | \(-0.620030\pi\) |
−0.0778079 | + | 0.996968i | \(0.524792\pi\) | |||||||
\(600\) | −0.903518 | − | 3.03342i | −0.0368860 | − | 0.123839i | ||||
\(601\) | 45.4436 | − | 6.84952i | 1.85368 | − | 0.279398i | 0.874900 | − | 0.484303i | \(-0.160927\pi\) |
0.978782 | + | 0.204906i | \(0.0656888\pi\) | |||||||
\(602\) | −3.43166 | + | 7.03122i | −0.139864 | + | 0.286571i | ||||
\(603\) | −20.1702 | − | 36.5578i | −0.821395 | − | 1.48875i | ||||
\(604\) | 19.1195 | − | 13.0354i | 0.777960 | − | 0.530404i | ||||
\(605\) | −6.88606 | − | 30.1698i | −0.279958 | − | 1.22658i | ||||
\(606\) | 8.27023 | + | 12.3870i | 0.335955 | + | 0.503186i | ||||
\(607\) | −20.1274 | −0.816945 | −0.408473 | − | 0.912771i | \(-0.633938\pi\) | ||||
−0.408473 | + | 0.912771i | \(0.633938\pi\) | |||||||
\(608\) | −4.61197 | + | 4.27928i | −0.187040 | + | 0.173548i | ||||
\(609\) | 2.07976 | + | 1.04018i | 0.0842761 | + | 0.0421501i | ||||
\(610\) | 12.1175 | + | 11.2434i | 0.490623 | + | 0.455231i | ||||
\(611\) | −31.3605 | − | 29.0983i | −1.26871 | − | 1.17719i | ||||
\(612\) | −13.9126 | + | 23.0514i | −0.562384 | + | 0.931799i | ||||
\(613\) | −9.43167 | − | 1.42159i | −0.380941 | − | 0.0574177i | −0.0442196 | − | 0.999022i | \(-0.514080\pi\) |
−0.336722 | + | 0.941604i | \(0.609318\pi\) | |||||||
\(614\) | −23.5062 | + | 7.25070i | −0.948633 | + | 0.292614i | ||||
\(615\) | −21.9423 | + | 8.36672i | −0.884800 | + | 0.337379i | ||||
\(616\) | 0.0886192 | + | 0.186519i | 0.00357057 | + | 0.00751506i | ||||
\(617\) | 23.8277 | − | 22.1089i | 0.959267 | − | 0.890070i | −0.0347388 | − | 0.999396i | \(-0.511060\pi\) |
0.994006 | + | 0.109327i | \(0.0348694\pi\) | |||||||
\(618\) | −24.1275 | − | 36.1377i | −0.970551 | − | 1.45367i | ||||
\(619\) | 25.6329 | 1.03027 | 0.515136 | − | 0.857108i | \(-0.327741\pi\) | ||||
0.515136 | + | 0.857108i | \(0.327741\pi\) | |||||||
\(620\) | 34.7169 | − | 32.2125i | 1.39426 | − | 1.29369i | ||||
\(621\) | 34.4989 | + | 8.93906i | 1.38439 | + | 0.358712i | ||||
\(622\) | −20.2846 | + | 25.4361i | −0.813340 | + | 1.01990i | ||||
\(623\) | −0.684078 | + | 2.17707i | −0.0274070 | + | 0.0872226i | ||||
\(624\) | 38.7674 | − | 8.45315i | 1.55194 | − | 0.338397i | ||||
\(625\) | 6.91128 | + | 30.2803i | 0.276451 | + | 1.21121i | ||||
\(626\) | 8.65846 | − | 1.30505i | 0.346062 | − | 0.0521604i | ||||
\(627\) | 0.144238 | − | 0.112752i | 0.00576033 | − | 0.00450288i | ||||
\(628\) | 34.7310 | + | 5.23486i | 1.38592 | + | 0.208894i | ||||
\(629\) | −25.1702 | + | 12.1213i | −1.00360 | + | 0.483310i | ||||
\(630\) | −17.6420 | − | 39.0719i | −0.702876 | − | 1.55666i | ||||
\(631\) | 20.6906 | + | 9.96404i | 0.823678 | + | 0.396662i | 0.797740 | − | 0.603001i | \(-0.206029\pi\) |
0.0259376 | + | 0.999664i | \(0.491743\pi\) | |||||||
\(632\) | −0.123173 | − | 0.0839779i | −0.00489956 | − | 0.00334046i | ||||
\(633\) | 15.5848 | − | 5.94256i | 0.619440 | − | 0.236196i | ||||
\(634\) | 0.809323 | − | 10.7997i | 0.0321423 | − | 0.428909i | ||||
\(635\) | −35.4317 | − | 44.4299i | −1.40606 | − | 1.76315i | ||||
\(636\) | 0.838994 | − | 0.0546854i | 0.0332683 | − | 0.00216842i | ||||
\(637\) | 34.8407 | + | 5.62620i | 1.38044 | + | 0.222918i | ||||
\(638\) | −0.122037 | −0.00483149 | ||||||||
\(639\) | 1.14012 | + | 1.09985i | 0.0451026 | + | 0.0435096i | ||||
\(640\) | 11.4338 | + | 7.79542i | 0.451960 | + | 0.308141i | ||||
\(641\) | 3.61855 | − | 15.8539i | 0.142924 | − | 0.626192i | −0.851823 | − | 0.523830i | \(-0.824503\pi\) |
0.994747 | − | 0.102362i | \(-0.0326401\pi\) | |||||||
\(642\) | 16.5767 | − | 9.35709i | 0.654230 | − | 0.369295i | ||||
\(643\) | −1.51379 | − | 20.2001i | −0.0596980 | − | 0.796615i | −0.944052 | − | 0.329797i | \(-0.893020\pi\) |
0.884354 | − | 0.466817i | \(-0.154600\pi\) | |||||||
\(644\) | 30.3057 | + | 2.43119i | 1.19421 | + | 0.0958024i | ||||
\(645\) | 0.0731000 | − | 7.52646i | 0.00287831 | − | 0.296354i | ||||
\(646\) | −8.55647 | − | 1.28968i | −0.336650 | − | 0.0507418i | ||||
\(647\) | 0.924961 | + | 12.3427i | 0.0363640 | + | 0.485244i | 0.985420 | + | 0.170137i | \(0.0544211\pi\) |
−0.949056 | + | 0.315106i | \(0.897960\pi\) | |||||||
\(648\) | 4.50067 | + | 3.33173i | 0.176803 | + | 0.130883i | ||||
\(649\) | 0.660405 | + | 0.203708i | 0.0259232 | + | 0.00799624i | ||||
\(650\) | 28.0715 | − | 4.23109i | 1.10105 | − | 0.165957i | ||||
\(651\) | −29.2016 | + | 35.5142i | −1.14450 | + | 1.39191i | ||||
\(652\) | −26.2207 | − | 3.95214i | −1.02688 | − | 0.154778i | ||||
\(653\) | −29.8284 | − | 14.3646i | −1.16727 | − | 0.562129i | −0.253095 | − | 0.967441i | \(-0.581449\pi\) |
−0.914178 | + | 0.405312i | \(0.867163\pi\) | |||||||
\(654\) | −28.9086 | − | 6.89426i | −1.13042 | − | 0.269587i | ||||
\(655\) | 47.4685 | 1.85475 | ||||||||
\(656\) | 10.9334 | − | 18.9372i | 0.426877 | − | 0.739373i | ||||
\(657\) | −14.7100 | + | 17.7282i | −0.573893 | + | 0.691642i | ||||
\(658\) | −6.19125 | − | 42.5926i | −0.241360 | − | 1.66043i | ||||
\(659\) | −13.7075 | − | 12.7187i | −0.533970 | − | 0.495452i | 0.366471 | − | 0.930429i | \(-0.380566\pi\) |
−0.900441 | + | 0.434977i | \(0.856756\pi\) | |||||||
\(660\) | 0.795595 | + | 0.647206i | 0.0309685 | + | 0.0251925i | ||||
\(661\) | −1.69336 | − | 4.31462i | −0.0658642 | − | 0.167819i | 0.894152 | − | 0.447763i | \(-0.147779\pi\) |
−0.960016 | + | 0.279944i | \(0.909684\pi\) | |||||||
\(662\) | −24.9962 | − | 63.6892i | −0.971503 | − | 2.47535i | ||||
\(663\) | 36.2866 | + | 29.5187i | 1.40926 | + | 1.14641i | ||||
\(664\) | −0.661826 | − | 0.614085i | −0.0256838 | − | 0.0238311i | ||||
\(665\) | 4.29603 | − | 4.58153i | 0.166593 | − | 0.177664i | ||||
\(666\) | −10.4144 | − | 28.1300i | −0.403548 | − | 1.09002i | ||||
\(667\) | 1.74015 | − | 3.01403i | 0.0673789 | − | 0.116704i | ||||
\(668\) | 36.2727 | 1.40343 | ||||||||
\(669\) | 22.2573 | + | 5.30801i | 0.860515 | + | 0.205220i | ||||
\(670\) | 67.7268 | + | 32.6155i | 2.61651 | + | 1.26005i | ||||
\(671\) | 0.379635 | + | 0.0572208i | 0.0146557 | + | 0.00220899i | ||||
\(672\) | 30.6025 | + | 15.3056i | 1.18052 | + | 0.590428i | ||||
\(673\) | −3.47658 | + | 0.524009i | −0.134012 | + | 0.0201991i | −0.215706 | − | 0.976458i | \(-0.569205\pi\) |
0.0816936 | + | 0.996657i | \(0.473967\pi\) | |||||||
\(674\) | 2.53942 | + | 0.783306i | 0.0978146 | + | 0.0301718i | ||||
\(675\) | 11.6495 | + | 9.85880i | 0.448389 | + | 0.379466i | ||||
\(676\) | 1.55494 | + | 20.7492i | 0.0598053 | + | 0.798046i | ||||
\(677\) | −11.5319 | − | 1.73815i | −0.443206 | − | 0.0668025i | −0.0763514 | − | 0.997081i | \(-0.524327\pi\) |
−0.366854 | + | 0.930278i | \(0.619565\pi\) | |||||||
\(678\) | 0.445578 | − | 45.8772i | 0.0171123 | − | 1.76190i | ||||
\(679\) | 43.4132 | − | 16.7759i | 1.66605 | − | 0.643799i | ||||
\(680\) | 0.701677 | + | 9.36323i | 0.0269081 | + | 0.359064i | ||||
\(681\) | 37.5796 | − | 21.2127i | 1.44005 | − | 0.812871i | ||||
\(682\) | 0.536934 | − | 2.35246i | 0.0205603 | − | 0.0900804i | ||||
\(683\) | 0.277375 | + | 0.189111i | 0.0106135 | + | 0.00723613i | 0.568615 | − | 0.822604i | \(-0.307479\pi\) |
−0.558002 | + | 0.829840i | \(0.688432\pi\) | |||||||
\(684\) | 1.02246 | − | 4.10999i | 0.0390946 | − | 0.157150i | ||||
\(685\) | 13.1861 | 0.503814 | ||||||||
\(686\) | 23.7373 | + | 26.4050i | 0.906294 | + | 1.00815i | ||||
\(687\) | −33.5636 | + | 2.18767i | −1.28053 | + | 0.0834648i | ||||
\(688\) | 4.36984 | + | 5.47961i | 0.166599 | + | 0.208908i | ||||
\(689\) | 0.109159 | − | 1.45662i | 0.00415861 | − | 0.0554928i | ||||
\(690\) | −59.9518 | + | 22.8599i | −2.28232 | + | 0.870262i | ||||
\(691\) | 30.3936 | + | 20.7220i | 1.15623 | + | 0.788302i | 0.980574 | − | 0.196151i | \(-0.0628442\pi\) |
0.175652 | + | 0.984452i | \(0.443797\pi\) | |||||||
\(692\) | −23.5794 | − | 11.3552i | −0.896355 | − | 0.431662i | ||||
\(693\) | −0.849744 | − | 0.518966i | −0.0322791 | − | 0.0197139i | ||||
\(694\) | −28.8519 | + | 13.8943i | −1.09520 | + | 0.527421i | ||||
\(695\) | −23.0574 | − | 3.47535i | −0.874618 | − | 0.131827i | ||||
\(696\) | 0.430833 | − | 0.336785i | 0.0163307 | − | 0.0127658i | ||||
\(697\) | 25.4908 | − | 3.84213i | 0.965535 | − | 0.145531i | ||||
\(698\) | 1.31304 | + | 5.75281i | 0.0496994 | + | 0.217747i | ||||
\(699\) | −25.9792 | + | 5.66471i | −0.982625 | + | 0.214259i | ||||
\(700\) | 11.2408 | + | 6.56884i | 0.424863 | + | 0.248279i | ||||
\(701\) | 15.8421 | − | 19.8654i | 0.598350 | − | 0.750307i | −0.386770 | − | 0.922176i | \(-0.626409\pi\) |
0.985120 | + | 0.171869i | \(0.0549807\pi\) | |||||||
\(702\) | −35.2194 | + | 35.8064i | −1.32927 | + | 1.35143i | ||||
\(703\) | 3.22140 | − | 2.98903i | 0.121498 | − | 0.112733i | ||||
\(704\) | −0.655728 | −0.0247137 | ||||||||
\(705\) | 22.9913 | + | 34.4358i | 0.865901 | + | 1.29693i | ||||
\(706\) | −30.9463 | + | 28.7140i | −1.16468 | + | 1.08067i | ||||
\(707\) | 11.5556 | + | 2.70140i | 0.434593 | + | 0.101597i | ||||
\(708\) | 14.9387 | − | 5.69620i | 0.561430 | − | 0.214076i | ||||
\(709\) | 19.5442 | − | 6.02860i | 0.733999 | − | 0.226409i | 0.0948499 | − | 0.995492i | \(-0.469763\pi\) |
0.639149 | + | 0.769083i | \(0.279287\pi\) | |||||||
\(710\) | −2.82023 | − | 0.425081i | −0.105841 | − | 0.0159530i | ||||
\(711\) | 0.718668 | + | 0.0139613i | 0.0269521 | + | 0.000523589i | ||||
\(712\) | 0.393392 | + | 0.365015i | 0.0147430 | + | 0.0136795i | ||||
\(713\) | 50.4441 | + | 46.8053i | 1.88915 | + | 1.75287i | ||||
\(714\) | 9.78430 | + | 46.0322i | 0.366168 | + | 1.72271i | ||||
\(715\) | 1.30615 | − | 1.21193i | 0.0488474 | − | 0.0453237i | ||||
\(716\) | 5.36920 | 0.200657 | ||||||||
\(717\) | −2.24935 | − | 3.36904i | −0.0840037 | − | 0.125819i | ||||
\(718\) | −7.46684 | − | 32.7144i | −0.278660 | − | 1.22089i | ||||
\(719\) | 17.9830 | − | 12.2606i | 0.670654 | − | 0.457244i | −0.179514 | − | 0.983755i | \(-0.557453\pi\) |
0.850168 | + | 0.526511i | \(0.176500\pi\) | |||||||
\(720\) | −38.3957 | − | 0.745900i | −1.43092 | − | 0.0277980i | ||||
\(721\) | −33.7122 | − | 7.88106i | −1.25551 | − | 0.293506i | ||||
\(722\) | −34.6731 | + | 5.22612i | −1.29040 | + | 0.194496i | ||||
\(723\) | −5.79609 | − | 19.4595i | −0.215559 | − | 0.723706i | ||||
\(724\) | 3.64049 | − | 0.548715i | 0.135298 | − | 0.0203928i | ||||
\(725\) | 1.23140 | − | 0.839551i | 0.0457329 | − | 0.0311802i | ||||
\(726\) | −36.3442 | − | 3.07885i | −1.34886 | − | 0.114267i | ||||
\(727\) | −1.66209 | + | 22.1790i | −0.0616434 | + | 0.822574i | 0.877616 | + | 0.479365i | \(0.159133\pi\) |
−0.939259 | + | 0.343209i | \(0.888486\pi\) | |||||||
\(728\) | 4.71118 | − | 6.83267i | 0.174608 | − | 0.253236i | ||||
\(729\) | −26.9542 | − | 1.57247i | −0.998303 | − | 0.0582396i | ||||
\(730\) | 3.09937 | − | 41.3582i | 0.114713 | − | 1.53074i | ||||
\(731\) | −1.83859 | + | 8.05538i | −0.0680026 | + | 0.297939i | ||||
\(732\) | 7.73440 | − | 4.36586i | 0.285872 | − | 0.161367i | ||||
\(733\) | 11.5636 | + | 14.5004i | 0.427113 | + | 0.535583i | 0.948096 | − | 0.317984i | \(-0.103006\pi\) |
−0.520983 | + | 0.853567i | \(0.674435\pi\) | |||||||
\(734\) | −6.41026 | − | 11.1029i | −0.236607 | − | 0.409815i | ||||
\(735\) | −31.5377 | − | 13.1193i | −1.16329 | − | 0.483914i | ||||
\(736\) | 25.6054 | − | 44.3498i | 0.943826 | − | 1.63476i | ||||
\(737\) | 1.72639 | − | 0.260212i | 0.0635925 | − | 0.00958503i | ||||
\(738\) | 1.53195 | + | 27.6364i | 0.0563918 | + | 1.01731i | ||||
\(739\) | −3.97194 | + | 1.22518i | −0.146110 | + | 0.0450690i | −0.366948 | − | 0.930242i | \(-0.619597\pi\) |
0.220837 | + | 0.975311i | \(0.429121\pi\) | |||||||
\(740\) | 20.3402 | + | 13.8677i | 0.747720 | + | 0.509787i | ||||
\(741\) | −6.82300 | − | 2.75460i | −0.250649 | − | 0.101193i | ||||
\(742\) | 1.00520 | − | 1.07200i | 0.0369021 | − | 0.0393545i | ||||
\(743\) | −8.13412 | − | 5.54575i | −0.298412 | − | 0.203454i | 0.404853 | − | 0.914382i | \(-0.367323\pi\) |
−0.703265 | + | 0.710928i | \(0.748275\pi\) | |||||||
\(744\) | 4.59651 | + | 9.78677i | 0.168516 | + | 0.358800i | ||||
\(745\) | −43.6022 | − | 20.9977i | −1.59746 | − | 0.769297i | ||||
\(746\) | 22.8740 | − | 58.2820i | 0.837477 | − | 2.13386i | ||||
\(747\) | 4.29117 | + | 0.732298i | 0.157006 | + | 0.0267934i | ||||
\(748\) | −0.701953 | − | 0.880221i | −0.0256659 | − | 0.0321841i | ||||
\(749\) | 4.54651 | − | 14.4692i | 0.166126 | − | 0.528694i | ||||
\(750\) | 19.2303 | + | 1.62907i | 0.702190 | + | 0.0594851i | ||||
\(751\) | 32.0321 | + | 15.4258i | 1.16887 | + | 0.562897i | 0.914648 | − | 0.404250i | \(-0.132468\pi\) |
0.254218 | + | 0.967147i | \(0.418182\pi\) | |||||||
\(752\) | −36.8424 | − | 11.3644i | −1.34350 | − | 0.414416i | ||||
\(753\) | −34.3648 | + | 2.23989i | −1.25232 | + | 0.0816263i | ||||
\(754\) | 2.45238 | + | 4.24765i | 0.0893104 | + | 0.154690i | ||||
\(755\) | 8.65836 | + | 37.9347i | 0.315110 | + | 1.38059i | ||||
\(756\) | −22.8811 | + | 2.64791i | −0.832177 | + | 0.0963036i | ||||
\(757\) | −11.9373 | + | 52.3009i | −0.433870 | + | 1.90091i | 0.000139990 | 1.00000i | \(0.499955\pi\) | |
−0.434010 | + | 0.900908i | \(0.642902\pi\) | |||||||
\(758\) | −25.3943 | + | 7.83309i | −0.922361 | + | 0.284511i | ||||
\(759\) | −0.851382 | + | 1.22306i | −0.0309032 | + | 0.0443941i | ||||
\(760\) | −0.539601 | − | 1.37488i | −0.0195734 | − | 0.0498722i | ||||
\(761\) | −2.91765 | + | 12.7831i | −0.105765 | + | 0.463386i | 0.894114 | + | 0.447839i | \(0.147806\pi\) |
−0.999879 | + | 0.0155474i | \(0.995051\pi\) | |||||||
\(762\) | −62.5853 | + | 23.8641i | −2.26723 | + | 0.864506i | ||||
\(763\) | −20.5689 | + | 11.7319i | −0.744643 | + | 0.424722i | ||||
\(764\) | 3.70178 | + | 16.2185i | 0.133926 | + | 0.586766i | ||||
\(765\) | −27.5346 | − | 35.9377i | −0.995516 | − | 1.29933i | ||||
\(766\) | 21.9066 | + | 37.9433i | 0.791517 | + | 1.37095i | ||||
\(767\) | −6.18079 | − | 27.0798i | −0.223175 | − | 0.977795i | ||||
\(768\) | 27.1165 | − | 21.1971i | 0.978482 | − | 0.764885i | ||||
\(769\) | 17.6255 | + | 2.65662i | 0.635593 | + | 0.0958002i | 0.458932 | − | 0.888471i | \(-0.348232\pi\) |
0.176661 | + | 0.984272i | \(0.443470\pi\) | |||||||
\(770\) | 1.78828 | − | 0.124574i | 0.0644451 | − | 0.00448932i | ||||
\(771\) | −28.9237 | − | 31.7860i | −1.04166 | − | 1.14475i | ||||
\(772\) | 10.7275 | − | 9.95364i | 0.386090 | − | 0.358239i | ||||
\(773\) | 4.85154 | − | 12.3615i | 0.174498 | − | 0.444613i | −0.816690 | − | 0.577076i | \(-0.804194\pi\) |
0.991188 | + | 0.132464i | \(0.0422888\pi\) | |||||||
\(774\) | −8.42501 | − | 2.77909i | −0.302831 | − | 0.0998925i | ||||
\(775\) | 10.7659 | + | 27.4310i | 0.386721 | + | 0.985350i | ||||
\(776\) | 0.817919 | − | 10.9144i | 0.0293616 | − | 0.391803i | ||||
\(777\) | −21.3755 | − | 10.6908i | −0.766840 | − | 0.383530i | ||||
\(778\) | −1.31609 | − | 17.5620i | −0.0471842 | − | 0.629630i | ||||
\(779\) | −3.65346 | + | 1.75942i | −0.130899 | + | 0.0630376i | ||||
\(780\) | 6.53901 | − | 40.6975i | 0.234134 | − | 1.45721i | ||||
\(781\) | −0.0596815 | + | 0.0287411i | −0.00213557 | + | 0.00102844i | ||||
\(782\) | 69.6472 | − | 10.4976i | 2.49058 | − | 0.375394i | ||||
\(783\) | −0.850260 | + | 2.49587i | −0.0303858 | + | 0.0891953i | ||||
\(784\) | 30.4900 | − | 9.05536i | 1.08893 | − | 0.323406i | ||||
\(785\) | −29.5298 | + | 51.1471i | −1.05396 | + | 1.82552i | ||||
\(786\) | 17.0097 | − | 53.3007i | 0.606717 | − | 1.90117i | ||||
\(787\) | −0.219783 | + | 2.93279i | −0.00783440 | + | 0.104543i | −0.999750 | − | 0.0223559i | \(-0.992883\pi\) |
0.991916 | + | 0.126899i | \(0.0405023\pi\) | |||||||
\(788\) | 23.5002 | + | 21.8050i | 0.837159 | + | 0.776770i | ||||
\(789\) | 11.5234 | − | 6.50466i | 0.410245 | − | 0.231572i | ||||
\(790\) | −1.06925 | + | 0.729003i | −0.0380422 | + | 0.0259367i | ||||
\(791\) | −24.7228 | − | 26.9271i | −0.879043 | − | 0.957417i | ||||
\(792\) | −0.195989 | + | 0.128119i | −0.00696418 | + | 0.00455251i | ||||
\(793\) | −5.63728 | − | 14.3635i | −0.200186 | − | 0.510065i | ||||
\(794\) | −1.02877 | − | 0.495432i | −0.0365098 | − | 0.0175822i | ||||
\(795\) | −0.429812 | + | 1.34683i | −0.0152439 | + | 0.0477673i | ||||
\(796\) | −8.34145 | − | 36.5463i | −0.295655 | − | 1.29535i | ||||
\(797\) | −12.2282 | + | 31.1569i | −0.433145 | + | 1.10363i | 0.533110 | + | 0.846046i | \(0.321023\pi\) |
−0.966255 | + | 0.257589i | \(0.917072\pi\) | |||||||
\(798\) | −3.60501 | − | 6.46559i | −0.127616 | − | 0.228879i | ||||
\(799\) | −16.6058 | − | 42.3109i | −0.587471 | − | 1.49685i | ||||
\(800\) | 18.1193 | − | 12.3535i | 0.640614 | − | 0.436763i | ||||
\(801\) | −2.55069 | − | 0.435281i | −0.0901242 | − | 0.0153799i | ||||
\(802\) | 14.8142 | + | 25.6589i | 0.523107 | + | 0.906047i | ||||
\(803\) | −0.481631 | − | 0.834210i | −0.0169964 | − | 0.0294386i | ||||
\(804\) | 27.7576 | − | 29.3389i | 0.978936 | − | 1.03470i | ||||
\(805\) | −22.4228 | + | 45.9426i | −0.790298 | + | 1.61927i | ||||
\(806\) | −92.6702 | + | 28.5850i | −3.26417 | + | 1.00686i | ||||
\(807\) | −28.1042 | + | 10.7163i | −0.989314 | + | 0.377231i | ||||
\(808\) | 1.73999 | − | 2.18188i | 0.0612127 | − | 0.0767584i | ||||
\(809\) | 41.7025 | + | 6.28563i | 1.46618 | + | 0.220991i | 0.833112 | − | 0.553105i | \(-0.186557\pi\) |
0.633068 | + | 0.774096i | \(0.281795\pi\) | |||||||
\(810\) | 41.1969 | − | 25.8026i | 1.44751 | − | 0.906609i | ||||
\(811\) | 4.21781 | − | 18.4794i | 0.148107 | − | 0.648901i | −0.845303 | − | 0.534288i | \(-0.820580\pi\) |
0.993410 | − | 0.114613i | \(-0.0365629\pi\) | |||||||
\(812\) | −0.346931 | + | 2.22249i | −0.0121749 | + | 0.0779940i | ||||
\(813\) | 27.0542 | + | 6.45200i | 0.948831 | + | 0.226282i | ||||
\(814\) | 1.25428 | 0.0439624 | ||||||||
\(815\) | 22.2939 | − | 38.6142i | 0.780923 | − | 1.35260i | ||||
\(816\) | 41.0067 | + | 9.77947i | 1.43552 | + | 0.342350i | ||||
\(817\) | −0.0971274 | − | 1.29608i | −0.00339806 | − | 0.0453439i | ||||
\(818\) | −1.70658 | + | 2.13998i | −0.0596690 | + | 0.0748226i | ||||
\(819\) | −0.987337 | + | 40.0052i | −0.0345003 | + | 1.39789i | ||||
\(820\) | −14.1633 | − | 17.7602i | −0.494603 | − | 0.620212i | ||||
\(821\) | 9.30745 | − | 8.63605i | 0.324832 | − | 0.301400i | −0.500852 | − | 0.865533i | \(-0.666980\pi\) |
0.825684 | + | 0.564133i | \(0.190789\pi\) | |||||||
\(822\) | 4.72506 | − | 14.8062i | 0.164806 | − | 0.516425i | ||||
\(823\) | −13.3086 | + | 9.07364i | −0.463908 | + | 0.316287i | −0.772620 | − | 0.634868i | \(-0.781054\pi\) |
0.308712 | + | 0.951155i | \(0.400102\pi\) | |||||||
\(824\) | −5.07625 | + | 6.36542i | −0.176840 | + | 0.221750i | ||||
\(825\) | −0.555725 | + | 0.313692i | −0.0193479 | + | 0.0109213i | ||||
\(826\) | 12.2568 | − | 25.1133i | 0.426468 | − | 0.873803i | ||||
\(827\) | −15.4610 | − | 7.44563i | −0.537632 | − | 0.258910i | 0.145305 | − | 0.989387i | \(-0.453584\pi\) |
−0.682937 | + | 0.730477i | \(0.739298\pi\) | |||||||
\(828\) | 1.90804 | + | 34.4210i | 0.0663088 | + | 1.19621i | ||||
\(829\) | −27.5230 | + | 8.48972i | −0.955913 | + | 0.294860i | −0.733192 | − | 0.680022i | \(-0.761970\pi\) |
−0.222721 | + | 0.974882i | \(0.571494\pi\) | |||||||
\(830\) | −7.06128 | + | 3.40053i | −0.245100 | + | 0.118034i | ||||
\(831\) | −14.4327 | − | 15.8609i | −0.500664 | − | 0.550210i | ||||
\(832\) | 13.1771 | + | 22.8234i | 0.456834 | + | 0.791260i | ||||
\(833\) | 30.7575 | + | 21.4467i | 1.06568 | + | 0.743083i | ||||
\(834\) | −12.1647 | + | 24.6450i | −0.421229 | + | 0.853388i | ||||
\(835\) | −22.2830 | + | 56.7761i | −0.771134 | + | 1.96482i | ||||
\(836\) | 0.146324 | + | 0.0997623i | 0.00506074 | + | 0.00345035i | ||||
\(837\) | −44.3711 | − | 27.3714i | −1.53369 | − | 0.946094i | ||||
\(838\) | −4.42499 | + | 59.0474i | −0.152859 | + | 2.03976i | ||||
\(839\) | −5.30253 | + | 3.61520i | −0.183064 | + | 0.124811i | −0.651385 | − | 0.758748i | \(-0.725812\pi\) |
0.468321 | + | 0.883558i | \(0.344859\pi\) | |||||||
\(840\) | −5.96945 | + | 5.37488i | −0.205966 | + | 0.185451i | ||||
\(841\) | −23.7482 | − | 16.1912i | −0.818903 | − | 0.558318i | ||||
\(842\) | 26.3108 | − | 32.9927i | 0.906731 | − | 1.13700i | ||||
\(843\) | −17.8746 | + | 13.9727i | −0.615634 | + | 0.481245i | ||||
\(844\) | 10.0596 | + | 12.6144i | 0.346267 | + | 0.434205i | ||||
\(845\) | −33.4330 | − | 10.3127i | −1.15013 | − | 0.354769i | ||||
\(846\) | 46.9055 | − | 13.4764i | 1.61264 | − | 0.463330i | ||||
\(847\) | −22.8161 | + | 18.0001i | −0.783972 | + | 0.618490i | ||||
\(848\) | −0.480947 | − | 1.22543i | −0.0165158 | − | 0.0420815i | ||||
\(849\) | 3.47673 | − | 2.71778i | 0.119321 | − | 0.0932741i | ||||
\(850\) | 28.8217 | + | 8.89033i | 0.988578 | + | 0.304936i | ||||
\(851\) | −17.8850 | + | 30.9778i | −0.613091 | + | 1.06190i | ||||
\(852\) | −0.678262 | + | 1.37412i | −0.0232369 | + | 0.0470767i | ||||
\(853\) | 10.2712 | + | 3.16825i | 0.351680 | + | 0.108479i | 0.465562 | − | 0.885015i | \(-0.345852\pi\) |
−0.113882 | + | 0.993494i | \(0.536329\pi\) | |||||||
\(854\) | 4.65355 | − | 14.8099i | 0.159241 | − | 0.506784i | ||||
\(855\) | 5.80508 | + | 4.12525i | 0.198529 | + | 0.141080i | ||||
\(856\) | −2.61456 | − | 2.42596i | −0.0893638 | − | 0.0829175i | ||||
\(857\) | 8.49965 | − | 10.6582i | 0.290342 | − | 0.364078i | −0.615172 | − | 0.788393i | \(-0.710914\pi\) |
0.905515 | + | 0.424315i | \(0.139485\pi\) | |||||||
\(858\) | −0.892794 | − | 1.90092i | −0.0304795 | − | 0.0648962i | ||||
\(859\) | −8.40331 | + | 36.8173i | −0.286717 | + | 1.25619i | 0.602282 | + | 0.798283i | \(0.294258\pi\) |
−0.889000 | + | 0.457908i | \(0.848599\pi\) | |||||||
\(860\) | 6.95744 | − | 2.14608i | 0.237247 | − | 0.0731809i | ||||
\(861\) | 15.9402 | + | 15.2405i | 0.543241 | + | 0.519395i | ||||
\(862\) | −12.8332 | − | 3.95851i | −0.437099 | − | 0.134827i | ||||
\(863\) | −5.55345 | + | 9.61886i | −0.189042 | + | 0.327430i | −0.944931 | − | 0.327270i | \(-0.893871\pi\) |
0.755889 | + | 0.654700i | \(0.227205\pi\) | |||||||
\(864\) | −12.5111 | + | 36.7254i | −0.425636 | + | 1.24942i | ||||
\(865\) | 32.2591 | − | 29.9321i | 1.09684 | − | 1.01772i | ||||
\(866\) | 1.12294 | + | 14.9846i | 0.0381590 | + | 0.509196i | ||||
\(867\) | 8.61013 | + | 18.3325i | 0.292415 | + | 0.622603i | ||||
\(868\) | −41.3156 | − | 16.4661i | −1.40234 | − | 0.558895i | ||||
\(869\) | −0.0109809 | + | 0.0279790i | −0.000372503 | + | 0.000949121i | ||||
\(870\) | −1.35511 | − | 4.54958i | −0.0459426 | − | 0.154245i | ||||
\(871\) | −43.7495 | − | 54.8602i | −1.48240 | − | 1.85887i | ||||
\(872\) | 0.416139 | + | 5.55299i | 0.0140923 | + | 0.188048i | ||||
\(873\) | 25.4940 | + | 46.2070i | 0.862842 | + | 1.56387i | ||||
\(874\) | −9.98215 | + | 4.80715i | −0.337651 | + | 0.162604i | ||||
\(875\) | 12.0724 | − | 9.52412i | 0.408121 | − | 0.321974i | ||||
\(876\) | −20.6633 | − | 8.34223i | −0.698148 | − | 0.281858i | ||||
\(877\) | −22.2099 | + | 10.6957i | −0.749975 | + | 0.361169i | −0.769505 | − | 0.638640i | \(-0.779497\pi\) |
0.0195303 | + | 0.999809i | \(0.493783\pi\) | |||||||
\(878\) | 26.3516 | + | 24.4507i | 0.889323 | + | 0.825171i | ||||
\(879\) | 0.606622 | + | 0.358133i | 0.0204609 | + | 0.0120795i | ||||
\(880\) | 0.586670 | − | 1.49481i | 0.0197766 | − | 0.0503901i | ||||
\(881\) | −10.7830 | −0.363287 | −0.181643 | − | 0.983364i | \(-0.558142\pi\) | ||||
−0.181643 | + | 0.983364i | \(0.558142\pi\) | |||||||
\(882\) | −26.0324 | + | 30.7115i | −0.876556 | + | 1.03411i | ||||
\(883\) | −18.1439 | −0.610590 | −0.305295 | − | 0.952258i | \(-0.598755\pi\) | ||||
−0.305295 | + | 0.952258i | \(0.598755\pi\) | |||||||
\(884\) | −16.5312 | + | 42.1207i | −0.556003 | + | 1.41667i | ||||
\(885\) | −0.261090 | + | 26.8821i | −0.00877645 | + | 0.903633i | ||||
\(886\) | −34.9677 | − | 32.4453i | −1.17476 | − | 1.09002i | ||||
\(887\) | 34.0549 | − | 16.4000i | 1.14345 | − | 0.550657i | 0.236390 | − | 0.971658i | \(-0.424036\pi\) |
0.907060 | + | 0.421002i | \(0.138321\pi\) | |||||||
\(888\) | −4.42803 | + | 3.46142i | −0.148595 | + | 0.116158i | ||||
\(889\) | −23.4077 | + | 47.9608i | −0.785071 | + | 1.60855i | ||||
\(890\) | 4.19725 | − | 2.02129i | 0.140692 | − | 0.0677538i | ||||
\(891\) | 0.452977 | − | 1.03415i | 0.0151753 | − | 0.0346452i | ||||
\(892\) | 1.65407 | + | 22.0720i | 0.0553822 | + | 0.739025i | ||||
\(893\) | 4.45783 | + | 5.58994i | 0.149176 | + | 0.187060i | ||||
\(894\) | −39.2019 | + | 41.4352i | −1.31111 | + | 1.38580i | ||||
\(895\) | −3.29840 | + | 8.40418i | −0.110253 | + | 0.280921i | ||||
\(896\) | 2.00438 | − | 12.8403i | 0.0669617 | − | 0.428966i | ||||
\(897\) | 59.6788 | + | 5.05561i | 1.99262 | + | 0.168802i | ||||
\(898\) | 4.97550 | + | 66.3935i | 0.166035 | + | 2.21558i | ||||
\(899\) | −3.73216 | + | 3.46294i | −0.124474 | + | 0.115495i | ||||
\(900\) | −5.65930 | + | 13.6348i | −0.188643 | + | 0.454494i | ||||
\(901\) | 0.775972 | − | 1.34402i | 0.0258514 | − | 0.0447759i | ||||
\(902\) | −1.10597 | − | 0.341146i | −0.0368247 | − | 0.0113589i | ||||
\(903\) | −6.41373 | + | 2.97130i | −0.213436 | + | 0.0988788i | ||||
\(904\) | −8.21458 | + | 2.53386i | −0.273213 | + | 0.0842750i | ||||
\(905\) | −1.37753 | + | 6.03538i | −0.0457908 | + | 0.200623i | ||||
\(906\) | 45.6982 | + | 3.87127i | 1.51822 | + | 0.128614i | ||||
\(907\) | −5.36688 | + | 6.72985i | −0.178204 | + | 0.223461i | −0.862909 | − | 0.505360i | \(-0.831360\pi\) |
0.684705 | + | 0.728821i | \(0.259931\pi\) | |||||||
\(908\) | 30.6001 | + | 28.3927i | 1.01550 | + | 0.942245i | ||||
\(909\) | −1.26601 | + | 13.3964i | −0.0419909 | + | 0.444330i | ||||
\(910\) | −40.2721 | − | 59.7398i | −1.33501 | − | 1.98036i | ||||
\(911\) | 18.0338 | + | 5.56269i | 0.597486 | + | 0.184300i | 0.578723 | − | 0.815524i | \(-0.303551\pi\) |
0.0187628 | + | 0.999824i | \(0.494027\pi\) | |||||||
\(912\) | −6.61727 | + | 0.431313i | −0.219120 | + | 0.0142822i | ||||
\(913\) | −0.0910145 | + | 0.157642i | −0.00301214 | + | 0.00521718i | ||||
\(914\) | 5.90609 | + | 1.82179i | 0.195356 | + | 0.0602594i | ||||
\(915\) | 2.08230 | + | 14.7883i | 0.0688388 | + | 0.488887i | ||||
\(916\) | −11.8867 | − | 30.2868i | −0.392748 | − | 1.00071i | ||||
\(917\) | −19.1307 | − | 40.2648i | −0.631751 | − | 1.32966i | ||||
\(918\) | −50.2199 | + | 18.0399i | −1.65750 | + | 0.595404i | ||||
\(919\) | 38.4684 | + | 11.8659i | 1.26896 | + | 0.391421i | 0.854883 | − | 0.518822i | \(-0.173629\pi\) |
0.414074 | + | 0.910243i | \(0.364105\pi\) | |||||||
\(920\) | 7.49572 | + | 9.39933i | 0.247126 | + | 0.309887i | ||||
\(921\) | −20.6079 | − | 8.31989i | −0.679055 | − | 0.274150i | ||||
\(922\) | 46.6412 | − | 58.4863i | 1.53605 | − | 1.92614i | ||||
\(923\) | 2.19969 | + | 1.49972i | 0.0724037 | + | 0.0493640i | ||||
\(924\) | 0.228348 | − | 0.935695i | 0.00751210 | − | 0.0307821i | ||||
\(925\) | −12.6561 | + | 8.62878i | −0.416130 | + | 0.283713i | ||||
\(926\) | −3.13529 | + | 41.8375i | −0.103032 | + | 1.37487i | ||||
\(927\) | 3.69345 | − | 39.0826i | 0.121309 | − | 1.28364i | ||||
\(928\) | 3.13052 | + | 2.13435i | 0.102764 | + | 0.0700635i | ||||
\(929\) | −19.1743 | + | 48.8554i | −0.629090 | + | 1.60289i | 0.158962 | + | 0.987285i | \(0.449185\pi\) |
−0.788052 | + | 0.615609i | \(0.788910\pi\) | |||||||
\(930\) | 93.6628 | − | 6.10492i | 3.07132 | − | 0.200188i | ||||
\(931\) | −5.61763 | − | 1.79763i | −0.184110 | − | 0.0589150i | ||||
\(932\) | −12.8605 | − | 22.2750i | −0.421259 | − | 0.729642i | ||||
\(933\) | −28.7181 | + | 6.26192i | −0.940190 | + | 0.205006i | ||||
\(934\) | 41.4030 | − | 19.9386i | 1.35475 | − | 0.652412i | ||||
\(935\) | 1.80899 | − | 0.558000i | 0.0591604 | − | 0.0182486i | ||||
\(936\) | 8.39781 | + | 4.24705i | 0.274491 | + | 0.138819i | ||||
\(937\) | −4.48104 | − | 2.15795i | −0.146389 | − | 0.0704972i | 0.359255 | − | 0.933239i | \(-0.383031\pi\) |
−0.505644 | + | 0.862742i | \(0.668745\pi\) | |||||||
\(938\) | 0.370691 | − | 70.5935i | 0.0121035 | − | 2.30496i | ||||
\(939\) | 6.81226 | + | 4.02178i | 0.222310 | + | 0.131246i | ||||
\(940\) | −24.9725 | + | 31.3146i | −0.814514 | + | 1.02137i | ||||
\(941\) | −7.92322 | + | 5.40196i | −0.258290 | + | 0.176099i | −0.685541 | − | 0.728034i | \(-0.740434\pi\) |
0.427251 | + | 0.904133i | \(0.359482\pi\) | |||||||
\(942\) | 46.8497 | + | 51.4859i | 1.52644 | + | 1.67750i | ||||
\(943\) | 24.1957 | − | 22.4504i | 0.787922 | − | 0.731084i | ||||
\(944\) | −15.6077 | − | 19.5714i | −0.507987 | − | 0.636995i | ||||
\(945\) | 9.91160 | − | 37.4414i | 0.322424 | − | 1.21797i | ||||
\(946\) | 0.231291 | − | 0.290030i | 0.00751993 | − | 0.00942969i | ||||
\(947\) | 0.850999 | + | 11.3558i | 0.0276538 | + | 0.369014i | 0.993813 | + | 0.111067i | \(0.0354268\pi\) |
−0.966159 | + | 0.257947i | \(0.916954\pi\) | |||||||
\(948\) | 0.198486 | + | 0.666387i | 0.00644654 | + | 0.0216432i | ||||
\(949\) | −19.3571 | + | 33.5275i | −0.628359 | + | 1.08835i | ||||
\(950\) | −4.74449 | −0.153932 | ||||||||
\(951\) | 6.72437 | − | 7.10744i | 0.218053 | − | 0.230475i | ||||
\(952\) | 7.65951 | − | 4.36876i | 0.248246 | − | 0.141592i | ||||
\(953\) | 10.8533 | − | 47.5516i | 0.351574 | − | 1.54035i | −0.421973 | − | 0.906608i | \(-0.638662\pi\) |
0.773547 | − | 0.633739i | \(-0.218481\pi\) | |||||||
\(954\) | 1.35830 | + | 0.965242i | 0.0439764 | + | 0.0312509i | ||||
\(955\) | −27.6602 | − | 4.16911i | −0.895064 | − | 0.134909i | ||||
\(956\) | 2.44319 | − | 3.06367i | 0.0790185 | − | 0.0990861i | ||||
\(957\) | −0.0855287 | − | 0.0695764i | −0.00276475 | − | 0.00224909i | ||||
\(958\) | 30.6588 | − | 9.45698i | 0.990540 | − | 0.305541i | ||||
\(959\) | −5.31424 | − | 11.1850i | −0.171606 | − | 0.361183i | ||||
\(960\) | −7.28128 | − | 24.4458i | −0.235002 | − | 0.788984i | ||||
\(961\) | −34.8331 | − | 60.3327i | −1.12365 | − | 1.94622i | ||||
\(962\) | −25.2052 | − | 43.6567i | −0.812648 | − | 1.40755i | ||||
\(963\) | 16.9524 | + | 2.89296i | 0.546283 | + | 0.0932243i | ||||
\(964\) | 16.2281 | − | 11.0642i | 0.522673 | − | 0.356352i | ||||
\(965\) | 8.98992 | + | 22.9059i | 0.289396 | + | 0.737368i | ||||
\(966\) | 43.5525 | + | 41.6407i | 1.40128 | + | 1.33977i | ||||
\(967\) | 16.5821 | − | 42.2506i | 0.533246 | − | 1.35869i | −0.369787 | − | 0.929117i | \(-0.620569\pi\) |
0.903033 | − | 0.429571i | \(-0.141335\pi\) | |||||||
\(968\) | 1.52077 | + | 6.66292i | 0.0488793 | + | 0.214154i | ||||
\(969\) | −5.26146 | − | 5.78213i | −0.169022 | − | 0.185749i | ||||
\(970\) | −85.6029 | − | 41.2242i | −2.74854 | − | 1.32363i | ||||
\(971\) | −12.3424 | − | 31.4480i | −0.396087 | − | 1.00921i | −0.980283 | − | 0.197601i | \(-0.936685\pi\) |
0.584195 | − | 0.811613i | \(-0.301410\pi\) | |||||||
\(972\) | −6.47783 | − | 25.3018i | −0.207777 | − | 0.811556i | ||||
\(973\) | 6.34464 | + | 20.9589i | 0.203400 | + | 0.671913i | ||||
\(974\) | −0.819051 | + | 0.558419i | −0.0262441 | + | 0.0178929i | ||||
\(975\) | 22.0859 | + | 13.0389i | 0.707316 | + | 0.417580i | ||||
\(976\) | −10.1939 | − | 9.45859i | −0.326300 | − | 0.302762i | ||||
\(977\) | −1.56972 | + | 20.9465i | −0.0502200 | + | 0.670139i | 0.914115 | + | 0.405455i | \(0.132887\pi\) |
−0.964335 | + | 0.264684i | \(0.914732\pi\) | |||||||
\(978\) | −35.3698 | − | 38.8700i | −1.13100 | − | 1.24293i | ||||
\(979\) | 0.0540994 | − | 0.0937028i | 0.00172902 | − | 0.00299476i | ||||
\(980\) | 2.81510 | − | 32.9215i | 0.0899250 | − | 1.05164i | ||||
\(981\) | −16.3298 | − | 21.3133i | −0.521370 | − | 0.680482i | ||||
\(982\) | 12.9681 | − | 1.95462i | 0.413828 | − | 0.0623746i | ||||
\(983\) | 26.0665 | − | 12.5529i | 0.831391 | − | 0.400377i | 0.0307545 | − | 0.999527i | \(-0.490209\pi\) |
0.800637 | + | 0.599150i | \(0.204495\pi\) | |||||||
\(984\) | 4.84590 | − | 1.84777i | 0.154482 | − | 0.0589047i | ||||
\(985\) | −48.5669 | + | 23.3886i | −1.54747 | + | 0.745223i | ||||
\(986\) | 0.389428 | + | 5.19655i | 0.0124019 | + | 0.165492i | ||||
\(987\) | 19.9441 | − | 33.3805i | 0.634826 | − | 1.06251i | ||||
\(988\) | 0.531904 | − | 7.09776i | 0.0169221 | − | 0.225810i | ||||
\(989\) | 3.86504 | + | 9.84796i | 0.122901 | + | 0.313147i | ||||
\(990\) | 0.413728 | + | 1.99008i | 0.0131491 | + | 0.0632489i | ||||
\(991\) | −2.22647 | + | 5.67296i | −0.0707263 | + | 0.180208i | −0.961866 | − | 0.273522i | \(-0.911811\pi\) |
0.891140 | + | 0.453729i | \(0.149907\pi\) | |||||||
\(992\) | −54.9166 | + | 50.9552i | −1.74360 | + | 1.61783i | ||||
\(993\) | 18.7925 | − | 58.8870i | 0.596361 | − | 1.86872i | ||||
\(994\) | 0.776035 | + | 2.56356i | 0.0246143 | + | 0.0813111i | ||||
\(995\) | 62.3286 | + | 9.39452i | 1.97595 | + | 0.297826i | ||||
\(996\) | 0.587145 | + | 4.16985i | 0.0186044 | + | 0.132127i | ||||
\(997\) | −10.0311 | − | 43.9493i | −0.317689 | − | 1.39189i | −0.841594 | − | 0.540111i | \(-0.818382\pi\) |
0.523905 | − | 0.851777i | \(-0.324475\pi\) | |||||||
\(998\) | 3.72120 | + | 6.44530i | 0.117792 | + | 0.204022i | ||||
\(999\) | 8.73885 | − | 25.6522i | 0.276485 | − | 0.811601i |
(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 | 441.2.z.a.142.12 | yes | 648 | |
9.4 | even | 3 | 441.2.y.a.436.12 | yes | 648 | ||
49.39 | even | 21 | 441.2.y.a.88.12 | ✓ | 648 | ||
441.382 | even | 21 | inner | 441.2.z.a.382.12 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.y.a.88.12 | ✓ | 648 | 49.39 | even | 21 | ||
441.2.y.a.436.12 | yes | 648 | 9.4 | even | 3 | ||
441.2.z.a.142.12 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.z.a.382.12 | yes | 648 | 441.382 | even | 21 | inner |