Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [588,2,Mod(55,588)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(588, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([7, 0, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("588.55");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 588.x (of order \(14\), degree \(6\), 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: | \(4.69520363885\) |
Analytic rank: | \(0\) |
Dimension: | \(168\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 223.9 | ||
Character | \(\chi\) | \(=\) | 588.223 |
Dual form | 588.2.x.a.559.9 |
$q$-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 \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(295\) | \(493\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{1}{14}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.743900 | + | 1.20275i | −0.526017 | + | 0.850474i | ||||
\(3\) | −0.222521 | + | 0.974928i | −0.128473 | + | 0.562875i | ||||
\(4\) | −0.893226 | − | 1.78945i | −0.446613 | − | 0.894727i | ||||
\(5\) | −1.38638 | − | 0.316432i | −0.620007 | − | 0.141513i | −0.0990318 | − | 0.995084i | \(-0.531575\pi\) |
−0.520975 | + | 0.853572i | \(0.674432\pi\) | |||||||
\(6\) | −1.00706 | − | 0.992886i | −0.411132 | − | 0.405344i | ||||
\(7\) | −0.327037 | − | 2.62546i | −0.123608 | − | 0.992331i | ||||
\(8\) | 2.81674 | + | 0.256845i | 0.995868 | + | 0.0908086i | ||||
\(9\) | −0.900969 | − | 0.433884i | −0.300323 | − | 0.144628i | ||||
\(10\) | 1.41192 | − | 1.43208i | 0.446487 | − | 0.452862i | ||||
\(11\) | 0.736155 | + | 1.52864i | 0.221959 | + | 0.460903i | 0.981977 | − | 0.188999i | \(-0.0605243\pi\) |
−0.760018 | + | 0.649902i | \(0.774810\pi\) | |||||||
\(12\) | 1.94335 | − | 0.472640i | 0.560997 | − | 0.136439i | ||||
\(13\) | 0.572318 | + | 1.18843i | 0.158732 | + | 0.329611i | 0.965134 | − | 0.261757i | \(-0.0843021\pi\) |
−0.806401 | + | 0.591369i | \(0.798588\pi\) | |||||||
\(14\) | 3.40106 | + | 1.55974i | 0.908972 | + | 0.416857i | ||||
\(15\) | 0.616996 | − | 1.28121i | 0.159308 | − | 0.330806i | ||||
\(16\) | −2.40429 | + | 3.19677i | −0.601074 | + | 0.799194i | ||||
\(17\) | −1.94350 | + | 1.54989i | −0.471368 | + | 0.375903i | −0.830170 | − | 0.557510i | \(-0.811757\pi\) |
0.358802 | + | 0.933414i | \(0.383185\pi\) | |||||||
\(18\) | 1.19209 | − | 0.760876i | 0.280977 | − | 0.179340i | ||||
\(19\) | 7.65788 | 1.75684 | 0.878419 | − | 0.477891i | \(-0.158599\pi\) | ||||
0.878419 | + | 0.477891i | \(0.158599\pi\) | |||||||
\(20\) | 0.672109 | + | 2.76351i | 0.150288 | + | 0.617939i | ||||
\(21\) | 2.63241 | + | 0.265383i | 0.574439 | + | 0.0579113i | ||||
\(22\) | −2.38620 | − | 0.251744i | −0.508740 | − | 0.0536720i | ||||
\(23\) | 6.25283 | + | 4.98647i | 1.30381 | + | 1.03975i | 0.996097 | + | 0.0882702i | \(0.0281339\pi\) |
0.307709 | + | 0.951480i | \(0.400438\pi\) | |||||||
\(24\) | −0.877190 | + | 2.68897i | −0.179056 | + | 0.548883i | ||||
\(25\) | −2.68293 | − | 1.29203i | −0.536586 | − | 0.258406i | ||||
\(26\) | −1.85513 | − | 0.195717i | −0.363822 | − | 0.0383832i | ||||
\(27\) | 0.623490 | − | 0.781831i | 0.119991 | − | 0.150464i | ||||
\(28\) | −4.40603 | + | 2.93035i | −0.832661 | + | 0.553784i | ||||
\(29\) | 5.04628 | + | 6.32784i | 0.937071 | + | 1.17505i | 0.984360 | + | 0.176169i | \(0.0563706\pi\) |
−0.0472885 | + | 0.998881i | \(0.515058\pi\) | |||||||
\(30\) | 1.08199 | + | 1.69518i | 0.197543 | + | 0.309497i | ||||
\(31\) | −0.568290 | −0.102068 | −0.0510340 | − | 0.998697i | \(-0.516252\pi\) | ||||
−0.0510340 | + | 0.998697i | \(0.516252\pi\) | |||||||
\(32\) | −2.05637 | − | 5.26985i | −0.363519 | − | 0.931587i | ||||
\(33\) | −1.65412 | + | 0.377543i | −0.287946 | + | 0.0657218i | ||||
\(34\) | −0.418364 | − | 3.49051i | −0.0717488 | − | 0.598618i | ||||
\(35\) | −0.377383 | + | 3.74337i | −0.0637893 | + | 0.632745i | ||||
\(36\) | 0.0283536 | + | 1.99980i | 0.00472560 | + | 0.333300i | ||||
\(37\) | 2.14273 | + | 2.68690i | 0.352263 | + | 0.441723i | 0.926118 | − | 0.377233i | \(-0.123124\pi\) |
−0.573856 | + | 0.818956i | \(0.694553\pi\) | |||||||
\(38\) | −5.69670 | + | 9.21053i | −0.924126 | + | 1.49415i | ||||
\(39\) | −1.28599 | + | 0.293518i | −0.205923 | + | 0.0470005i | ||||
\(40\) | −3.82379 | − | 1.24739i | −0.604595 | − | 0.197230i | ||||
\(41\) | 0.860244 | + | 0.196345i | 0.134348 | + | 0.0306640i | 0.289166 | − | 0.957279i | \(-0.406622\pi\) |
−0.154818 | + | 0.987943i | \(0.549479\pi\) | |||||||
\(42\) | −2.27744 | + | 2.96872i | −0.351416 | + | 0.458083i | ||||
\(43\) | 3.14099 | − | 0.716910i | 0.478996 | − | 0.109328i | 0.0237959 | − | 0.999717i | \(-0.492425\pi\) |
0.455200 | + | 0.890389i | \(0.349568\pi\) | |||||||
\(44\) | 2.07788 | − | 2.68274i | 0.313252 | − | 0.404438i | ||||
\(45\) | 1.11179 | + | 0.886622i | 0.165736 | + | 0.132170i | ||||
\(46\) | −10.6490 | + | 3.81118i | −1.57010 | + | 0.561927i | ||||
\(47\) | 5.38800 | − | 2.59473i | 0.785921 | − | 0.378480i | 0.00252046 | − | 0.999997i | \(-0.499198\pi\) |
0.783400 | + | 0.621517i | \(0.213483\pi\) | |||||||
\(48\) | −2.58162 | − | 3.05536i | −0.372625 | − | 0.441004i | ||||
\(49\) | −6.78609 | + | 1.71724i | −0.969442 | + | 0.245321i | ||||
\(50\) | 3.54982 | − | 2.26576i | 0.502021 | − | 0.320426i | ||||
\(51\) | −1.07856 | − | 2.23965i | −0.151029 | − | 0.313614i | ||||
\(52\) | 1.61543 | − | 2.08567i | 0.224020 | − | 0.289231i | ||||
\(53\) | −3.41255 | + | 4.27920i | −0.468749 | + | 0.587793i | −0.958864 | − | 0.283865i | \(-0.908383\pi\) |
0.490115 | + | 0.871658i | \(0.336955\pi\) | |||||||
\(54\) | 0.476536 | + | 1.33151i | 0.0648483 | + | 0.181195i | ||||
\(55\) | −0.536878 | − | 2.35222i | −0.0723927 | − | 0.317173i | ||||
\(56\) | −0.246840 | − | 7.47924i | −0.0329854 | − | 0.999456i | ||||
\(57\) | −1.70404 | + | 7.46588i | −0.225705 | + | 0.988880i | ||||
\(58\) | −11.3648 | + | 1.36215i | −1.49227 | + | 0.178859i | ||||
\(59\) | −2.27091 | − | 9.94952i | −0.295648 | − | 1.29532i | −0.876537 | − | 0.481335i | \(-0.840152\pi\) |
0.580889 | − | 0.813983i | \(-0.302705\pi\) | |||||||
\(60\) | −2.84378 | + | 0.0403197i | −0.367130 | + | 0.00520525i | ||||
\(61\) | −0.303170 | + | 0.241770i | −0.0388169 | + | 0.0309555i | −0.642706 | − | 0.766113i | \(-0.722188\pi\) |
0.603889 | + | 0.797068i | \(0.293617\pi\) | |||||||
\(62\) | 0.422751 | − | 0.683513i | 0.0536895 | − | 0.0868062i | ||||
\(63\) | −0.844495 | + | 2.50735i | −0.106396 | + | 0.315897i | ||||
\(64\) | 7.86806 | + | 1.44693i | 0.983508 | + | 0.180867i | ||||
\(65\) | −0.417392 | − | 1.82871i | −0.0517711 | − | 0.226824i | ||||
\(66\) | 0.776412 | − | 2.27036i | 0.0955697 | − | 0.279462i | ||||
\(67\) | − | 9.48014i | − | 1.15818i | −0.815263 | − | 0.579092i | \(-0.803407\pi\) | ||
0.815263 | − | 0.579092i | \(-0.196593\pi\) | |||||||
\(68\) | 4.50944 | + | 2.09340i | 0.546850 | + | 0.253862i | ||||
\(69\) | −6.25283 | + | 4.98647i | −0.752753 | + | 0.600300i | ||||
\(70\) | −4.22161 | − | 3.23859i | −0.504579 | − | 0.387085i | ||||
\(71\) | 11.7253 | + | 9.35058i | 1.39153 | + | 1.10971i | 0.980152 | + | 0.198246i | \(0.0635244\pi\) |
0.411380 | + | 0.911464i | \(0.365047\pi\) | |||||||
\(72\) | −2.42635 | − | 1.45355i | −0.285949 | − | 0.171302i | ||||
\(73\) | 1.03475 | − | 2.14868i | 0.121108 | − | 0.251484i | −0.831597 | − | 0.555380i | \(-0.812573\pi\) |
0.952705 | + | 0.303895i | \(0.0982873\pi\) | |||||||
\(74\) | −4.82565 | + | 0.578390i | −0.560970 | + | 0.0672365i | ||||
\(75\) | 1.85664 | − | 2.32816i | 0.214387 | − | 0.268833i | ||||
\(76\) | −6.84022 | − | 13.7034i | −0.784627 | − | 1.57189i | ||||
\(77\) | 3.77264 | − | 2.43267i | 0.429932 | − | 0.277228i | ||||
\(78\) | 0.603616 | − | 1.76507i | 0.0683460 | − | 0.199855i | ||||
\(79\) | 17.1021i | 1.92413i | 0.272817 | + | 0.962066i | \(0.412045\pi\) | ||||
−0.272817 | + | 0.962066i | \(0.587955\pi\) | |||||||
\(80\) | 4.34482 | − | 3.67114i | 0.485766 | − | 0.410446i | ||||
\(81\) | 0.623490 | + | 0.781831i | 0.0692766 | + | 0.0868702i | ||||
\(82\) | −0.876090 | + | 0.888600i | −0.0967480 | + | 0.0981294i | ||||
\(83\) | 2.34188 | + | 1.12779i | 0.257055 | + | 0.123791i | 0.557974 | − | 0.829859i | \(-0.311579\pi\) |
−0.300919 | + | 0.953650i | \(0.597293\pi\) | |||||||
\(84\) | −1.87644 | − | 4.94762i | −0.204737 | − | 0.539830i | ||||
\(85\) | 3.18486 | − | 1.53375i | 0.345447 | − | 0.166358i | ||||
\(86\) | −1.47432 | + | 4.31114i | −0.158980 | + | 0.464882i | ||||
\(87\) | −7.29209 | + | 3.51169i | −0.781794 | + | 0.376492i | ||||
\(88\) | 1.68093 | + | 4.49486i | 0.179188 | + | 0.479154i | ||||
\(89\) | −5.14003 | + | 10.6734i | −0.544842 | + | 1.13138i | 0.428823 | + | 0.903389i | \(0.358929\pi\) |
−0.973664 | + | 0.227987i | \(0.926786\pi\) | |||||||
\(90\) | −1.89345 | + | 0.677649i | −0.199587 | + | 0.0714304i | ||||
\(91\) | 2.93301 | − | 1.89126i | 0.307463 | − | 0.198258i | ||||
\(92\) | 3.33787 | − | 15.6432i | 0.347997 | − | 1.63092i | ||||
\(93\) | 0.126457 | − | 0.554042i | 0.0131129 | − | 0.0574515i | ||||
\(94\) | −0.887323 | + | 8.41065i | −0.0915204 | + | 0.867492i | ||||
\(95\) | −10.6167 | − | 2.42320i | −1.08925 | − | 0.248615i | ||||
\(96\) | 5.59531 | − | 0.832163i | 0.571069 | − | 0.0849323i | ||||
\(97\) | 1.85665i | 0.188514i | 0.995548 | + | 0.0942571i | \(0.0300476\pi\) | ||||
−0.995548 | + | 0.0942571i | \(0.969952\pi\) | |||||||
\(98\) | 2.98275 | − | 9.43945i | 0.301304 | − | 0.953528i | ||||
\(99\) | − | 1.69666i | − | 0.170521i | ||||||
\(100\) | 0.0844320 | + | 5.95505i | 0.00844320 | + | 0.595505i | ||||
\(101\) | 5.36275 | + | 1.22401i | 0.533614 | + | 0.121794i | 0.480833 | − | 0.876812i | \(-0.340334\pi\) |
0.0527808 | + | 0.998606i | \(0.483192\pi\) | |||||||
\(102\) | 3.49609 | + | 0.368837i | 0.346165 | + | 0.0365203i | ||||
\(103\) | 2.64732 | − | 11.5987i | 0.260848 | − | 1.14285i | −0.659486 | − | 0.751717i | \(-0.729226\pi\) |
0.920334 | − | 0.391133i | \(-0.127917\pi\) | |||||||
\(104\) | 1.30683 | + | 3.49450i | 0.128145 | + | 0.342664i | ||||
\(105\) | −3.56554 | − | 1.20090i | −0.347961 | − | 0.117196i | ||||
\(106\) | −2.60822 | − | 7.28774i | −0.253333 | − | 0.707848i | ||||
\(107\) | −0.867216 | + | 1.80079i | −0.0838369 | + | 0.174089i | −0.938673 | − | 0.344810i | \(-0.887944\pi\) |
0.854836 | + | 0.518899i | \(0.173658\pi\) | |||||||
\(108\) | −1.95597 | − | 0.417354i | −0.188213 | − | 0.0401600i | ||||
\(109\) | 13.2211 | − | 6.36695i | 1.26635 | − | 0.609844i | 0.324506 | − | 0.945884i | \(-0.394802\pi\) |
0.941848 | + | 0.336040i | \(0.109088\pi\) | |||||||
\(110\) | 3.22852 | + | 1.10408i | 0.307827 | + | 0.105270i | ||||
\(111\) | −3.09633 | + | 1.49112i | −0.293891 | + | 0.141530i | ||||
\(112\) | 9.17930 | + | 5.26692i | 0.867362 | + | 0.497677i | ||||
\(113\) | −6.52739 | − | 3.14343i | −0.614046 | − | 0.295709i | 0.100892 | − | 0.994897i | \(-0.467830\pi\) |
−0.714937 | + | 0.699189i | \(0.753545\pi\) | |||||||
\(114\) | −7.71197 | − | 7.60340i | −0.722292 | − | 0.712124i | ||||
\(115\) | −7.09092 | − | 8.89173i | −0.661231 | − | 0.829158i | ||||
\(116\) | 6.81591 | − | 14.6823i | 0.632841 | − | 1.36322i | ||||
\(117\) | − | 1.31906i | − | 0.121947i | ||||||
\(118\) | 13.6561 | + | 4.67010i | 1.25715 | + | 0.429918i | ||||
\(119\) | 4.70477 | + | 4.59571i | 0.431286 | + | 0.421288i | ||||
\(120\) | 2.06699 | − | 3.45035i | 0.188690 | − | 0.314973i | ||||
\(121\) | 5.06357 | − | 6.34951i | 0.460324 | − | 0.577229i | ||||
\(122\) | −0.0652613 | − | 0.544491i | −0.00590848 | − | 0.0492959i | ||||
\(123\) | −0.382845 | + | 0.794985i | −0.0345200 | + | 0.0716814i | ||||
\(124\) | 0.507612 | + | 1.01693i | 0.0455849 | + | 0.0913230i | ||||
\(125\) | 8.86966 | + | 7.07332i | 0.793327 | + | 0.632657i | ||||
\(126\) | −2.38751 | − | 2.88094i | −0.212696 | − | 0.256654i | ||||
\(127\) | −6.95401 | + | 5.54563i | −0.617068 | + | 0.492095i | −0.881422 | − | 0.472330i | \(-0.843413\pi\) |
0.264353 | + | 0.964426i | \(0.414841\pi\) | |||||||
\(128\) | −7.59335 | + | 8.38695i | −0.671164 | + | 0.741309i | ||||
\(129\) | 3.22176i | 0.283661i | ||||||||
\(130\) | 2.50999 | + | 0.858361i | 0.220141 | + | 0.0752832i | ||||
\(131\) | −0.382231 | − | 1.67466i | −0.0333956 | − | 0.146316i | 0.955481 | − | 0.295051i | \(-0.0953368\pi\) |
−0.988877 | + | 0.148736i | \(0.952480\pi\) | |||||||
\(132\) | 2.15310 | + | 2.62275i | 0.187404 | + | 0.228281i | ||||
\(133\) | −2.50441 | − | 20.1055i | −0.217160 | − | 1.74337i | ||||
\(134\) | 11.4023 | + | 7.05227i | 0.985005 | + | 0.609224i | ||||
\(135\) | −1.11179 | + | 0.886622i | −0.0956876 | + | 0.0763083i | ||||
\(136\) | −5.87242 | + | 3.86646i | −0.503556 | + | 0.331546i | ||||
\(137\) | −1.63330 | − | 7.15595i | −0.139542 | − | 0.611374i | −0.995536 | − | 0.0943873i | \(-0.969911\pi\) |
0.855993 | − | 0.516987i | \(-0.172946\pi\) | |||||||
\(138\) | −1.34600 | − | 11.2300i | −0.114579 | − | 0.955965i | ||||
\(139\) | −1.58739 | + | 6.95481i | −0.134641 | + | 0.589899i | 0.861921 | + | 0.507043i | \(0.169261\pi\) |
−0.996561 | + | 0.0828565i | \(0.973596\pi\) | |||||||
\(140\) | 7.03567 | − | 2.66836i | 0.594623 | − | 0.225518i | ||||
\(141\) | 1.33073 | + | 5.83029i | 0.112067 | + | 0.490999i | ||||
\(142\) | −19.9689 | + | 7.14668i | −1.67575 | + | 0.599736i | ||||
\(143\) | −1.39537 | + | 1.74974i | −0.116687 | + | 0.146320i | ||||
\(144\) | 3.55322 | − | 1.83701i | 0.296102 | − | 0.153084i | ||||
\(145\) | −4.99373 | − | 10.3696i | −0.414707 | − | 0.861147i | ||||
\(146\) | 1.81458 | + | 2.84295i | 0.150176 | + | 0.235285i | ||||
\(147\) | −0.164142 | − | 6.99808i | −0.0135382 | − | 0.577192i | ||||
\(148\) | 2.89414 | − | 6.23433i | 0.237897 | − | 0.512458i | ||||
\(149\) | 15.9373 | − | 7.67499i | 1.30563 | − | 0.628759i | 0.353784 | − | 0.935327i | \(-0.384895\pi\) |
0.951849 | + | 0.306568i | \(0.0991806\pi\) | |||||||
\(150\) | 1.41904 | + | 3.96500i | 0.115864 | + | 0.323741i | ||||
\(151\) | 9.57613 | + | 7.63671i | 0.779294 | + | 0.621466i | 0.930188 | − | 0.367084i | \(-0.119644\pi\) |
−0.150894 | + | 0.988550i | \(0.548215\pi\) | |||||||
\(152\) | 21.5703 | + | 1.96689i | 1.74958 | + | 0.159536i | ||||
\(153\) | 2.42350 | − | 0.553149i | 0.195929 | − | 0.0447195i | ||||
\(154\) | 0.119431 | + | 6.34721i | 0.00962404 | + | 0.511473i | ||||
\(155\) | 0.787866 | + | 0.179825i | 0.0632829 | + | 0.0144439i | ||||
\(156\) | 1.67391 | + | 2.03904i | 0.134020 | + | 0.163254i | ||||
\(157\) | −8.41676 | + | 1.92107i | −0.671731 | + | 0.153318i | −0.544765 | − | 0.838589i | \(-0.683381\pi\) |
−0.126966 | + | 0.991907i | \(0.540524\pi\) | |||||||
\(158\) | −20.5695 | − | 12.7222i | −1.63642 | − | 1.01213i | ||||
\(159\) | −3.41255 | − | 4.27920i | −0.270633 | − | 0.339363i | ||||
\(160\) | 1.18336 | + | 7.95671i | 0.0935530 | + | 0.629033i | ||||
\(161\) | 11.0469 | − | 18.0473i | 0.870616 | − | 1.42233i | ||||
\(162\) | −1.40416 | + | 0.168299i | −0.110322 | + | 0.0132229i | ||||
\(163\) | 9.11997 | − | 2.08157i | 0.714331 | − | 0.163041i | 0.150115 | − | 0.988669i | \(-0.452036\pi\) |
0.564216 | + | 0.825627i | \(0.309179\pi\) | |||||||
\(164\) | −0.417042 | − | 1.71475i | −0.0325655 | − | 0.133899i | ||||
\(165\) | 2.41271 | 0.187829 | ||||||||
\(166\) | −3.09858 | + | 1.97774i | −0.240496 | + | 0.153502i | ||||
\(167\) | −5.37750 | − | 6.74317i | −0.416123 | − | 0.521802i | 0.528954 | − | 0.848651i | \(-0.322585\pi\) |
−0.945077 | + | 0.326849i | \(0.894013\pi\) | |||||||
\(168\) | 7.34665 | + | 1.42364i | 0.566806 | + | 0.109836i | ||||
\(169\) | 7.02055 | − | 8.80349i | 0.540042 | − | 0.677191i | ||||
\(170\) | −0.524498 | + | 4.97155i | −0.0402272 | + | 0.381301i | ||||
\(171\) | −6.89951 | − | 3.32263i | −0.527619 | − | 0.254088i | ||||
\(172\) | −4.08849 | − | 4.98029i | −0.311744 | − | 0.379744i | ||||
\(173\) | −15.7125 | − | 12.5303i | −1.19460 | − | 0.952659i | −0.194992 | − | 0.980805i | \(-0.562468\pi\) |
−0.999604 | + | 0.0281460i | \(0.991040\pi\) | |||||||
\(174\) | 1.20090 | − | 11.3829i | 0.0910398 | − | 0.862937i | ||||
\(175\) | −2.51476 | + | 7.46647i | −0.190098 | + | 0.564412i | ||||
\(176\) | −6.65665 | − | 1.32198i | −0.501764 | − | 0.0996482i | ||||
\(177\) | 10.2054 | 0.767084 | ||||||||
\(178\) | −9.01376 | − | 14.1221i | −0.675610 | − | 1.05850i | ||||
\(179\) | −1.46121 | + | 1.16527i | −0.109216 | + | 0.0870966i | −0.676575 | − | 0.736374i | \(-0.736537\pi\) |
0.567359 | + | 0.823470i | \(0.307965\pi\) | |||||||
\(180\) | 0.593491 | − | 2.78145i | 0.0442362 | − | 0.207317i | ||||
\(181\) | 9.98002 | − | 20.7237i | 0.741809 | − | 1.54038i | −0.0965889 | − | 0.995324i | \(-0.530793\pi\) |
0.838398 | − | 0.545058i | \(-0.183492\pi\) | |||||||
\(182\) | 0.0928509 | + | 4.93459i | 0.00688257 | + | 0.365776i | ||||
\(183\) | −0.168247 | − | 0.349368i | −0.0124372 | − | 0.0258260i | ||||
\(184\) | 16.3319 | + | 15.6516i | 1.20400 | + | 1.15385i | ||||
\(185\) | −2.12041 | − | 4.40309i | −0.155896 | − | 0.323721i | ||||
\(186\) | 0.572305 | + | 0.564248i | 0.0419634 | + | 0.0413727i | ||||
\(187\) | −3.79994 | − | 1.82995i | −0.277879 | − | 0.133820i | ||||
\(188\) | −9.45585 | − | 7.32391i | −0.689638 | − | 0.534151i | ||||
\(189\) | −2.25657 | − | 1.38126i | −0.164141 | − | 0.100472i | ||||
\(190\) | 10.8123 | − | 10.9667i | 0.784405 | − | 0.795606i | ||||
\(191\) | −10.1773 | − | 2.32290i | −0.736403 | − | 0.168079i | −0.162160 | − | 0.986764i | \(-0.551846\pi\) |
−0.574243 | + | 0.818685i | \(0.694703\pi\) | |||||||
\(192\) | −3.16146 | + | 7.34882i | −0.228159 | + | 0.530355i | ||||
\(193\) | −4.83158 | + | 21.1685i | −0.347785 | + | 1.52375i | 0.434412 | + | 0.900714i | \(0.356956\pi\) |
−0.782197 | + | 0.623031i | \(0.785901\pi\) | |||||||
\(194\) | −2.23309 | − | 1.38116i | −0.160326 | − | 0.0991616i | ||||
\(195\) | 1.87574 | 0.134325 | ||||||||
\(196\) | 9.13445 | + | 10.6095i | 0.652460 | + | 0.757823i | ||||
\(197\) | −16.7464 | −1.19313 | −0.596567 | − | 0.802563i | \(-0.703469\pi\) | ||||
−0.596567 | + | 0.802563i | \(0.703469\pi\) | |||||||
\(198\) | 2.04067 | + | 1.26215i | 0.145024 | + | 0.0896969i | ||||
\(199\) | −4.96566 | + | 21.7560i | −0.352007 | + | 1.54224i | 0.420534 | + | 0.907277i | \(0.361843\pi\) |
−0.772541 | + | 0.634965i | \(0.781015\pi\) | |||||||
\(200\) | −7.22526 | − | 4.32841i | −0.510903 | − | 0.306065i | ||||
\(201\) | 9.24245 | + | 2.10953i | 0.651912 | + | 0.148795i | ||||
\(202\) | −5.46153 | + | 5.53952i | −0.384272 | + | 0.389759i | ||||
\(203\) | 14.9632 | − | 15.3183i | 1.05021 | − | 1.07513i | ||||
\(204\) | −3.04436 | + | 3.93055i | −0.213148 | + | 0.275194i | ||||
\(205\) | −1.13049 | − | 0.544417i | −0.0789572 | − | 0.0380238i | ||||
\(206\) | 11.9810 | + | 11.8123i | 0.834754 | + | 0.823002i | ||||
\(207\) | −3.47006 | − | 7.20566i | −0.241186 | − | 0.500828i | ||||
\(208\) | −5.17517 | − | 1.02777i | −0.358833 | − | 0.0712627i | ||||
\(209\) | 5.63738 | + | 11.7061i | 0.389946 | + | 0.809731i | ||||
\(210\) | 4.09679 | − | 3.39511i | 0.282705 | − | 0.234285i | ||||
\(211\) | −0.129921 | + | 0.269783i | −0.00894411 | + | 0.0185726i | −0.905393 | − | 0.424574i | \(-0.860424\pi\) |
0.896449 | + | 0.443147i | \(0.146138\pi\) | |||||||
\(212\) | 10.7056 | + | 2.28431i | 0.735264 | + | 0.156887i | ||||
\(213\) | −11.7253 | + | 9.35058i | −0.803401 | + | 0.640691i | ||||
\(214\) | −1.52078 | − | 2.38265i | −0.103959 | − | 0.162875i | ||||
\(215\) | −4.58145 | −0.312452 | ||||||||
\(216\) | 1.95702 | − | 2.04208i | 0.133158 | − | 0.138946i | ||||
\(217\) | 0.185852 | + | 1.49202i | 0.0126164 | + | 0.101285i | ||||
\(218\) | −2.17732 | + | 20.6381i | −0.147467 | + | 1.39779i | ||||
\(219\) | 1.86456 | + | 1.48693i | 0.125995 | + | 0.100478i | ||||
\(220\) | −3.72963 | + | 3.06178i | −0.251452 | + | 0.206425i | ||||
\(221\) | −2.95424 | − | 1.42268i | −0.198723 | − | 0.0957001i | ||||
\(222\) | 0.509920 | − | 4.83337i | 0.0342236 | − | 0.324394i | ||||
\(223\) | 6.03154 | − | 7.56332i | 0.403902 | − | 0.506477i | −0.537732 | − | 0.843116i | \(-0.680719\pi\) |
0.941634 | + | 0.336639i | \(0.109290\pi\) | |||||||
\(224\) | −13.1633 | + | 7.12236i | −0.879509 | + | 0.475883i | ||||
\(225\) | 1.85664 | + | 2.32816i | 0.123776 | + | 0.155211i | ||||
\(226\) | 8.63649 | − | 5.51244i | 0.574491 | − | 0.366682i | ||||
\(227\) | −27.4958 | −1.82496 | −0.912480 | − | 0.409121i | \(-0.865835\pi\) | ||||
−0.912480 | + | 0.409121i | \(0.865835\pi\) | |||||||
\(228\) | 14.8819 | − | 3.61942i | 0.985581 | − | 0.239702i | ||||
\(229\) | −11.0203 | + | 2.51531i | −0.728242 | + | 0.166217i | −0.570540 | − | 0.821270i | \(-0.693266\pi\) |
−0.157703 | + | 0.987487i | \(0.550409\pi\) | |||||||
\(230\) | 15.9695 | − | 1.91406i | 1.05300 | − | 0.126209i | ||||
\(231\) | 1.53218 | + | 4.21937i | 0.100810 | + | 0.277614i | ||||
\(232\) | 12.5888 | + | 19.1200i | 0.826495 | + | 1.25529i | ||||
\(233\) | 4.73593 | + | 5.93866i | 0.310261 | + | 0.389055i | 0.912375 | − | 0.409355i | \(-0.134246\pi\) |
−0.602114 | + | 0.798410i | \(0.705675\pi\) | |||||||
\(234\) | 1.58650 | + | 0.981247i | 0.103713 | + | 0.0641461i | ||||
\(235\) | −8.29086 | + | 1.89234i | −0.540836 | + | 0.123442i | ||||
\(236\) | −15.7758 | + | 12.9509i | −1.02692 | + | 0.843030i | ||||
\(237\) | −16.6733 | − | 3.80557i | −1.08305 | − | 0.247198i | ||||
\(238\) | −9.02738 | + | 2.23992i | −0.585158 | + | 0.145193i | ||||
\(239\) | −13.2894 | + | 3.03321i | −0.859617 | + | 0.196202i | −0.629538 | − | 0.776970i | \(-0.716756\pi\) |
−0.230079 | + | 0.973172i | \(0.573899\pi\) | |||||||
\(240\) | 2.61229 | + | 5.05280i | 0.168622 | + | 0.326157i | ||||
\(241\) | −13.4427 | − | 10.7202i | −0.865921 | − | 0.690549i | 0.0861975 | − | 0.996278i | \(-0.472528\pi\) |
−0.952119 | + | 0.305729i | \(0.901100\pi\) | |||||||
\(242\) | 3.87010 | + | 10.8136i | 0.248780 | + | 0.695126i | ||||
\(243\) | −0.900969 | + | 0.433884i | −0.0577972 | + | 0.0278337i | ||||
\(244\) | 0.703436 | + | 0.326554i | 0.0450329 | + | 0.0209055i | ||||
\(245\) | 9.95148 | − | 0.233415i | 0.635777 | − | 0.0149123i | ||||
\(246\) | −0.671372 | − | 1.05186i | −0.0428051 | − | 0.0670639i | ||||
\(247\) | 4.38274 | + | 9.10086i | 0.278867 | + | 0.579074i | ||||
\(248\) | −1.60073 | − | 0.145963i | −0.101646 | − | 0.00926865i | ||||
\(249\) | −1.62063 | + | 2.03221i | −0.102703 | + | 0.128786i | ||||
\(250\) | −15.1056 | + | 5.40616i | −0.955361 | + | 0.341916i | ||||
\(251\) | −0.598821 | − | 2.62360i | −0.0377972 | − | 0.165600i | 0.952507 | − | 0.304517i | \(-0.0984951\pi\) |
−0.990304 | + | 0.138917i | \(0.955638\pi\) | |||||||
\(252\) | 5.24112 | − | 0.728449i | 0.330160 | − | 0.0458880i | ||||
\(253\) | −3.01947 | + | 13.2291i | −0.189832 | + | 0.831710i | ||||
\(254\) | −1.49694 | − | 12.4893i | −0.0939264 | − | 0.783651i | ||||
\(255\) | 0.786596 | + | 3.44630i | 0.0492585 | + | 0.215816i | ||||
\(256\) | −4.43873 | − | 15.3720i | −0.277421 | − | 0.960748i | ||||
\(257\) | −14.7566 | + | 11.7680i | −0.920493 | + | 0.734069i | −0.964256 | − | 0.264973i | \(-0.914637\pi\) |
0.0437629 | + | 0.999042i | \(0.486065\pi\) | |||||||
\(258\) | −3.87498 | − | 2.39667i | −0.241246 | − | 0.149210i | ||||
\(259\) | 6.35360 | − | 6.50437i | 0.394793 | − | 0.404162i | ||||
\(260\) | −2.89958 | + | 2.38036i | −0.179824 | + | 0.147624i | ||||
\(261\) | −1.80100 | − | 7.89069i | −0.111479 | − | 0.488421i | ||||
\(262\) | 2.29854 | + | 0.786052i | 0.142005 | + | 0.0485624i | ||||
\(263\) | 10.5675i | 0.651622i | 0.945435 | + | 0.325811i | \(0.105637\pi\) | ||||
−0.945435 | + | 0.325811i | \(0.894363\pi\) | |||||||
\(264\) | −4.75621 | + | 0.638587i | −0.292725 | + | 0.0393023i | ||||
\(265\) | 6.08516 | − | 4.85275i | 0.373808 | − | 0.298102i | ||||
\(266\) | 26.0449 | + | 11.9443i | 1.59692 | + | 0.732350i | ||||
\(267\) | −9.26201 | − | 7.38620i | −0.566826 | − | 0.452028i | ||||
\(268\) | −16.9643 | + | 8.46790i | −1.03626 | + | 0.517260i | ||||
\(269\) | −6.04268 | + | 12.5478i | −0.368429 | + | 0.765051i | −0.999947 | − | 0.0103107i | \(-0.996718\pi\) |
0.631518 | + | 0.775361i | \(0.282432\pi\) | |||||||
\(270\) | −0.239327 | − | 1.99677i | −0.0145650 | − | 0.121519i | ||||
\(271\) | 20.2776 | − | 25.4273i | 1.23177 | − | 1.54460i | 0.494167 | − | 0.869367i | \(-0.335473\pi\) |
0.737607 | − | 0.675230i | \(-0.235956\pi\) | |||||||
\(272\) | −0.281900 | − | 9.93932i | −0.0170927 | − | 0.602660i | ||||
\(273\) | 1.19119 | + | 3.28032i | 0.0720938 | + | 0.198534i | ||||
\(274\) | 9.82184 | + | 3.35886i | 0.593359 | + | 0.202916i | ||||
\(275\) | − | 5.05237i | − | 0.304669i | ||||||
\(276\) | 14.5083 | + | 6.73512i | 0.873294 | + | 0.405406i | ||||
\(277\) | 13.9750 | + | 17.5241i | 0.839677 | + | 1.05292i | 0.997852 | + | 0.0655109i | \(0.0208677\pi\) |
−0.158175 | + | 0.987411i | \(0.550561\pi\) | |||||||
\(278\) | −7.18406 | − | 7.08292i | −0.430871 | − | 0.424805i | ||||
\(279\) | 0.512012 | + | 0.246572i | 0.0306534 | + | 0.0147619i | ||||
\(280\) | −2.02446 | + | 10.4472i | −0.120984 | + | 0.624338i | ||||
\(281\) | −7.95677 | + | 3.83178i | −0.474661 | + | 0.228585i | −0.655890 | − | 0.754856i | \(-0.727707\pi\) |
0.181229 | + | 0.983441i | \(0.441992\pi\) | |||||||
\(282\) | −8.00233 | − | 2.73662i | −0.476532 | − | 0.162963i | ||||
\(283\) | 11.6399 | − | 5.60548i | 0.691921 | − | 0.333211i | −0.0546612 | − | 0.998505i | \(-0.517408\pi\) |
0.746582 | + | 0.665294i | \(0.231694\pi\) | |||||||
\(284\) | 6.25913 | − | 29.3340i | 0.371411 | − | 1.74065i | ||||
\(285\) | 4.72488 | − | 9.81132i | 0.279878 | − | 0.581173i | ||||
\(286\) | −1.06649 | − | 2.97991i | −0.0630626 | − | 0.176206i | ||||
\(287\) | 0.234165 | − | 2.32275i | 0.0138223 | − | 0.137108i | ||||
\(288\) | −0.433775 | + | 5.64020i | −0.0255604 | + | 0.332352i | ||||
\(289\) | −2.40782 | + | 10.5494i | −0.141637 | + | 0.620550i | ||||
\(290\) | 16.1869 | + | 1.70771i | 0.950526 | + | 0.100280i | ||||
\(291\) | −1.81010 | − | 0.413143i | −0.106110 | − | 0.0242189i | ||||
\(292\) | −4.76924 | + | 0.0676193i | −0.279098 | + | 0.00395712i | ||||
\(293\) | 20.3547i | 1.18913i | 0.804047 | + | 0.594566i | \(0.202676\pi\) | ||||
−0.804047 | + | 0.594566i | \(0.797324\pi\) | |||||||
\(294\) | 8.53906 | + | 5.00845i | 0.498008 | + | 0.292098i | ||||
\(295\) | 14.5124i | 0.844944i | ||||||||
\(296\) | 5.34540 | + | 8.11865i | 0.310695 | + | 0.471887i | ||||
\(297\) | 1.65412 | + | 0.377543i | 0.0959820 | + | 0.0219073i | ||||
\(298\) | −2.62463 | + | 24.8780i | −0.152041 | + | 1.44114i | ||||
\(299\) | −2.34746 | + | 10.2849i | −0.135757 | + | 0.594791i | ||||
\(300\) | −5.82454 | − | 1.24281i | −0.336280 | − | 0.0717536i | ||||
\(301\) | −2.90944 | − | 8.01209i | −0.167697 | − | 0.461809i | ||||
\(302\) | −16.3087 | + | 5.83676i | −0.938463 | + | 0.335868i | ||||
\(303\) | −2.38665 | + | 4.95593i | −0.137109 | + | 0.284711i | ||||
\(304\) | −18.4118 | + | 24.4805i | −1.05599 | + | 1.40405i | ||||
\(305\) | 0.496812 | − | 0.239252i | 0.0284474 | − | 0.0136995i | ||||
\(306\) | −1.13754 | + | 3.32636i | −0.0650290 | + | 0.190156i | ||||
\(307\) | 5.64999 | − | 2.72089i | 0.322462 | − | 0.155290i | −0.265649 | − | 0.964070i | \(-0.585586\pi\) |
0.588111 | + | 0.808780i | \(0.299872\pi\) | |||||||
\(308\) | −7.72297 | − | 4.57804i | −0.440057 | − | 0.260858i | ||||
\(309\) | 10.7188 | + | 5.16189i | 0.609770 | + | 0.293650i | ||||
\(310\) | −0.802378 | + | 0.813835i | −0.0455720 | + | 0.0462227i | ||||
\(311\) | −11.9476 | − | 14.9819i | −0.677489 | − | 0.849544i | 0.317631 | − | 0.948214i | \(-0.397113\pi\) |
−0.995120 | + | 0.0986701i | \(0.968541\pi\) | |||||||
\(312\) | −3.69768 | + | 0.496465i | −0.209340 | + | 0.0281068i | ||||
\(313\) | − | 21.0129i | − | 1.18772i | −0.804568 | − | 0.593860i | \(-0.797603\pi\) | ||
0.804568 | − | 0.593860i | \(-0.202397\pi\) | |||||||
\(314\) | 3.95066 | − | 11.5524i | 0.222948 | − | 0.651938i | ||||
\(315\) | 1.96420 | − | 3.20892i | 0.110670 | − | 0.180802i | ||||
\(316\) | 30.6034 | − | 15.2760i | 1.72157 | − | 0.859342i | ||||
\(317\) | −2.88704 | + | 3.62023i | −0.162152 | + | 0.203333i | −0.856269 | − | 0.516530i | \(-0.827224\pi\) |
0.694117 | + | 0.719862i | \(0.255795\pi\) | |||||||
\(318\) | 7.68541 | − | 0.921153i | 0.430976 | − | 0.0516557i | ||||
\(319\) | −5.95815 | + | 12.3722i | −0.333592 | + | 0.692712i | ||||
\(320\) | −10.4503 | − | 4.49570i | −0.584187 | − | 0.251317i | ||||
\(321\) | −1.56267 | − | 1.24619i | −0.0872196 | − | 0.0695553i | ||||
\(322\) | 13.4887 | + | 26.7121i | 0.751696 | + | 1.48860i | ||||
\(323\) | −14.8831 | + | 11.8689i | −0.828117 | + | 0.660401i | ||||
\(324\) | 0.842135 | − | 1.81406i | 0.0467853 | − | 0.100781i | ||||
\(325\) | − | 3.92793i | − | 0.217882i | ||||||
\(326\) | −4.28072 | + | 12.5175i | −0.237087 | + | 0.693282i | ||||
\(327\) | 3.26535 | + | 14.3064i | 0.180574 | + | 0.791147i | ||||
\(328\) | 2.37266 | + | 0.774003i | 0.131008 | + | 0.0427372i | ||||
\(329\) | −8.57443 | − | 13.2974i | −0.472723 | − | 0.733111i | ||||
\(330\) | −1.79481 | + | 2.90189i | −0.0988013 | + | 0.159744i | ||||
\(331\) | −10.5148 | + | 8.38531i | −0.577948 | + | 0.460898i | −0.868312 | − | 0.496018i | \(-0.834795\pi\) |
0.290364 | + | 0.956916i | \(0.406224\pi\) | |||||||
\(332\) | −0.0736992 | − | 5.19806i | −0.00404477 | − | 0.285281i | ||||
\(333\) | −0.764732 | − | 3.35051i | −0.0419070 | − | 0.183607i | ||||
\(334\) | 12.1107 | − | 1.45155i | 0.662667 | − | 0.0794255i | ||||
\(335\) | −2.99982 | + | 13.1431i | −0.163898 | + | 0.718082i | ||||
\(336\) | −7.17745 | + | 7.77716i | −0.391562 | + | 0.424279i | ||||
\(337\) | −3.73331 | − | 16.3567i | −0.203366 | − | 0.891005i | −0.968869 | − | 0.247573i | \(-0.920367\pi\) |
0.765503 | − | 0.643432i | \(-0.222490\pi\) | |||||||
\(338\) | 5.36583 | + | 14.9929i | 0.291863 | + | 0.815506i | ||||
\(339\) | 4.51710 | − | 5.66426i | 0.245335 | − | 0.307640i | ||||
\(340\) | −5.58937 | − | 4.32918i | −0.303126 | − | 0.234783i | ||||
\(341\) | −0.418350 | − | 0.868712i | −0.0226549 | − | 0.0470434i | ||||
\(342\) | 9.12885 | − | 5.82670i | 0.493631 | − | 0.315072i | ||||
\(343\) | 6.72786 | + | 17.2550i | 0.363270 | + | 0.931684i | ||||
\(344\) | 9.03149 | − | 1.21260i | 0.486945 | − | 0.0653791i | ||||
\(345\) | 10.2467 | − | 4.93454i | 0.551662 | − | 0.265667i | ||||
\(346\) | 26.7593 | − | 9.57693i | 1.43859 | − | 0.514859i | ||||
\(347\) | −5.59985 | − | 4.46573i | −0.300616 | − | 0.239733i | 0.461551 | − | 0.887114i | \(-0.347293\pi\) |
−0.762167 | + | 0.647381i | \(0.775864\pi\) | |||||||
\(348\) | 12.7975 | + | 9.91214i | 0.686017 | + | 0.531346i | ||||
\(349\) | 4.00327 | − | 0.913720i | 0.214290 | − | 0.0489103i | −0.114028 | − | 0.993478i | \(-0.536375\pi\) |
0.328318 | + | 0.944567i | \(0.393518\pi\) | |||||||
\(350\) | −7.10958 | − | 8.57894i | −0.380023 | − | 0.458563i | ||||
\(351\) | 1.28599 | + | 0.293518i | 0.0686409 | + | 0.0156668i | ||||
\(352\) | 6.54190 | − | 7.02288i | 0.348684 | − | 0.374321i | ||||
\(353\) | −10.4353 | + | 2.38180i | −0.555418 | + | 0.126770i | −0.491011 | − | 0.871153i | \(-0.663373\pi\) |
−0.0644065 | + | 0.997924i | \(0.520515\pi\) | |||||||
\(354\) | −7.59179 | + | 12.2746i | −0.403499 | + | 0.652385i | ||||
\(355\) | −13.2968 | − | 16.6737i | −0.705722 | − | 0.884948i | ||||
\(356\) | 23.6907 | − | 0.335892i | 1.25561 | − | 0.0178022i | ||||
\(357\) | −5.52740 | + | 3.56417i | −0.292541 | + | 0.188636i | ||||
\(358\) | −0.314544 | − | 2.62432i | −0.0166242 | − | 0.138699i | ||||
\(359\) | 12.0515 | − | 2.75068i | 0.636054 | − | 0.145175i | 0.107678 | − | 0.994186i | \(-0.465658\pi\) |
0.528376 | + | 0.849011i | \(0.322801\pi\) | |||||||
\(360\) | 2.90390 | + | 2.78294i | 0.153049 | + | 0.146674i | ||||
\(361\) | 39.6431 | 2.08648 | ||||||||
\(362\) | 17.5014 | + | 27.4199i | 0.919852 | + | 1.44116i | ||||
\(363\) | 5.06357 | + | 6.34951i | 0.265768 | + | 0.333263i | ||||
\(364\) | −6.00416 | − | 3.55917i | −0.314704 | − | 0.186551i | ||||
\(365\) | −2.11447 | + | 2.65146i | −0.110676 | + | 0.138784i | ||||
\(366\) | 0.545362 | + | 0.0575356i | 0.0285065 | + | 0.00300743i | ||||
\(367\) | 5.18409 | + | 2.49653i | 0.270607 | + | 0.130318i | 0.564267 | − | 0.825592i | \(-0.309159\pi\) |
−0.293660 | + | 0.955910i | \(0.594873\pi\) | |||||||
\(368\) | −30.9743 | + | 7.99996i | −1.61465 | + | 0.417027i | ||||
\(369\) | −0.689862 | − | 0.550147i | −0.0359128 | − | 0.0286395i | ||||
\(370\) | 6.87320 | + | 0.725122i | 0.357321 | + | 0.0376973i | ||||
\(371\) | 12.3509 | + | 7.56005i | 0.641227 | + | 0.392498i | ||||
\(372\) | −1.10439 | + | 0.268597i | −0.0572598 | + | 0.0139261i | ||||
\(373\) | −0.499602 | −0.0258684 | −0.0129342 | − | 0.999916i | \(-0.504117\pi\) | ||||
−0.0129342 | + | 0.999916i | \(0.504117\pi\) | |||||||
\(374\) | 5.02776 | − | 3.20908i | 0.259979 | − | 0.165938i | ||||
\(375\) | −8.86966 | + | 7.07332i | −0.458027 | + | 0.365265i | ||||
\(376\) | 15.8431 | − | 5.92479i | 0.817043 | − | 0.305547i | ||||
\(377\) | −4.63212 | + | 9.61869i | −0.238566 | + | 0.495388i | ||||
\(378\) | 3.33998 | − | 1.68658i | 0.171790 | − | 0.0867482i | ||||
\(379\) | 4.28373 | + | 8.89526i | 0.220041 | + | 0.456919i | 0.981543 | − | 0.191244i | \(-0.0612520\pi\) |
−0.761502 | + | 0.648163i | \(0.775538\pi\) | |||||||
\(380\) | 5.14693 | + | 21.1626i | 0.264032 | + | 1.08562i | ||||
\(381\) | −3.85918 | − | 8.01367i | −0.197712 | − | 0.410553i | ||||
\(382\) | 10.3648 | − | 10.5128i | 0.530307 | − | 0.537879i | ||||
\(383\) | −31.8187 | − | 15.3231i | −1.62586 | − | 0.782974i | −0.999995 | − | 0.00304290i | \(-0.999031\pi\) |
−0.625866 | − | 0.779931i | \(-0.715254\pi\) | |||||||
\(384\) | −6.48700 | − | 9.26924i | −0.331038 | − | 0.473019i | ||||
\(385\) | −6.00008 | + | 2.17881i | −0.305792 | + | 0.111043i | ||||
\(386\) | −21.8663 | − | 21.5585i | −1.11297 | − | 1.09730i | ||||
\(387\) | −3.14099 | − | 0.716910i | −0.159665 | − | 0.0364426i | ||||
\(388\) | 3.32239 | − | 1.65841i | 0.168669 | − | 0.0841929i | ||||
\(389\) | 6.02519 | − | 26.3981i | 0.305489 | − | 1.33844i | −0.556220 | − | 0.831035i | \(-0.687749\pi\) |
0.861710 | − | 0.507401i | \(-0.169394\pi\) | |||||||
\(390\) | −1.39536 | + | 2.25605i | −0.0706570 | + | 0.114240i | ||||
\(391\) | −19.8809 | −1.00542 | ||||||||
\(392\) | −19.5557 | + | 3.09406i | −0.987714 | + | 0.156273i | ||||
\(393\) | 1.71773 | 0.0866480 | ||||||||
\(394\) | 12.4577 | − | 20.1418i | 0.627609 | − | 1.01473i | ||||
\(395\) | 5.41164 | − | 23.7099i | 0.272289 | − | 1.19298i | ||||
\(396\) | −3.03610 | + | 1.51550i | −0.152570 | + | 0.0761569i | ||||
\(397\) | −8.15913 | − | 1.86227i | −0.409495 | − | 0.0934646i | 0.0128109 | − | 0.999918i | \(-0.495922\pi\) |
−0.422306 | + | 0.906453i | \(0.638779\pi\) | |||||||
\(398\) | −22.4731 | − | 22.1567i | −1.12648 | − | 1.11062i | ||||
\(399\) | 20.1587 | + | 2.03227i | 1.00920 | + | 0.101741i | ||||
\(400\) | 10.5809 | − | 5.47030i | 0.529044 | − | 0.273515i | ||||
\(401\) | 9.54743 | + | 4.59780i | 0.476776 | + | 0.229603i | 0.656808 | − | 0.754057i | \(-0.271906\pi\) |
−0.180032 | + | 0.983661i | \(0.557620\pi\) | |||||||
\(402\) | −9.41270 | + | 9.54710i | −0.469463 | + | 0.476166i | ||||
\(403\) | −0.325243 | − | 0.675374i | −0.0162015 | − | 0.0336428i | ||||
\(404\) | −2.59983 | − | 10.6897i | −0.129347 | − | 0.531833i | ||||
\(405\) | −0.616996 | − | 1.28121i | −0.0306588 | − | 0.0636637i | ||||
\(406\) | 7.29296 | + | 29.3922i | 0.361944 | + | 1.45871i | ||||
\(407\) | −2.52992 | + | 5.25344i | −0.125404 | + | 0.260403i | ||||
\(408\) | −2.46278 | − | 6.58555i | −0.121926 | − | 0.326033i | ||||
\(409\) | −27.7882 | + | 22.1603i | −1.37404 | + | 1.09576i | −0.389414 | + | 0.921063i | \(0.627323\pi\) |
−0.984623 | + | 0.174695i | \(0.944106\pi\) | |||||||
\(410\) | 1.49577 | − | 0.954713i | 0.0738710 | − | 0.0471499i | ||||
\(411\) | 7.33998 | 0.362054 | ||||||||
\(412\) | −23.1199 | + | 5.62297i | −1.13904 | + | 0.277024i | ||||
\(413\) | −25.3794 | + | 9.21605i | −1.24884 | + | 0.453492i | ||||
\(414\) | 11.2480 | + | 1.18666i | 0.552809 | + | 0.0583213i | ||||
\(415\) | −2.88986 | − | 2.30459i | −0.141858 | − | 0.113128i | ||||
\(416\) | 5.08595 | − | 5.45989i | 0.249359 | − | 0.267693i | ||||
\(417\) | −6.42721 | − | 3.09518i | −0.314742 | − | 0.151572i | ||||
\(418\) | −18.2732 | − | 1.92783i | −0.893774 | − | 0.0942931i | ||||
\(419\) | 12.9174 | − | 16.1979i | 0.631055 | − | 0.791319i | −0.358797 | − | 0.933416i | \(-0.616813\pi\) |
0.989853 | + | 0.142097i | \(0.0453845\pi\) | |||||||
\(420\) | 1.03588 | + | 7.45304i | 0.0505456 | + | 0.363671i | ||||
\(421\) | 7.66711 | + | 9.61425i | 0.373672 | + | 0.468570i | 0.932739 | − | 0.360553i | \(-0.117412\pi\) |
−0.559067 | + | 0.829123i | \(0.688841\pi\) | |||||||
\(422\) | −0.227834 | − | 0.356954i | −0.0110908 | − | 0.0173762i | ||||
\(423\) | −5.98023 | −0.290769 | ||||||||
\(424\) | −10.7114 | + | 11.1769i | −0.520189 | + | 0.542798i | ||||
\(425\) | 7.21677 | − | 1.64718i | 0.350065 | − | 0.0799000i | ||||
\(426\) | −2.52401 | − | 21.0585i | −0.122289 | − | 1.02029i | ||||
\(427\) | 0.733906 | + | 0.716893i | 0.0355162 | + | 0.0346929i | ||||
\(428\) | 3.99705 | − | 0.0566711i | 0.193205 | − | 0.00273930i | ||||
\(429\) | −1.39537 | − | 1.74974i | −0.0673690 | − | 0.0844781i | ||||
\(430\) | 3.40814 | − | 5.51035i | 0.164355 | − | 0.265733i | ||||
\(431\) | −15.0667 | + | 3.43887i | −0.725735 | + | 0.165644i | −0.569401 | − | 0.822060i | \(-0.692825\pi\) |
−0.156334 | + | 0.987704i | \(0.549968\pi\) | |||||||
\(432\) | 1.00029 | + | 3.87291i | 0.0481263 | + | 0.186335i | ||||
\(433\) | 9.57062 | + | 2.18443i | 0.459935 | + | 0.104977i | 0.446209 | − | 0.894929i | \(-0.352774\pi\) |
0.0137255 | + | 0.999906i | \(0.495631\pi\) | |||||||
\(434\) | −1.93279 | − | 0.886383i | −0.0927769 | − | 0.0425478i | ||||
\(435\) | 11.2208 | − | 2.56108i | 0.537997 | − | 0.122794i | ||||
\(436\) | −23.2028 | − | 17.9715i | −1.11121 | − | 0.860677i | ||||
\(437\) | 47.8835 | + | 38.1858i | 2.29058 | + | 1.82667i | ||||
\(438\) | −3.17546 | + | 1.13647i | −0.151729 | + | 0.0543026i | ||||
\(439\) | 9.73240 | − | 4.68688i | 0.464502 | − | 0.223692i | −0.186969 | − | 0.982366i | \(-0.559866\pi\) |
0.651471 | + | 0.758673i | \(0.274152\pi\) | |||||||
\(440\) | −0.908091 | − | 6.76348i | −0.0432915 | − | 0.322436i | ||||
\(441\) | 6.85914 | + | 1.39719i | 0.326626 | + | 0.0665329i | ||||
\(442\) | 3.90879 | − | 2.49488i | 0.185922 | − | 0.118669i | ||||
\(443\) | 1.02917 | + | 2.13710i | 0.0488974 | + | 0.101536i | 0.923986 | − | 0.382426i | \(-0.124911\pi\) |
−0.875089 | + | 0.483963i | \(0.839197\pi\) | |||||||
\(444\) | 5.43401 | + | 4.20885i | 0.257887 | + | 0.199743i | ||||
\(445\) | 10.5034 | − | 13.1709i | 0.497910 | − | 0.624359i | ||||
\(446\) | 4.60993 | + | 12.8808i | 0.218287 | + | 0.609924i | ||||
\(447\) | 3.93618 | + | 17.2455i | 0.186175 | + | 0.815686i | ||||
\(448\) | 1.22572 | − | 21.1305i | 0.0579100 | − | 0.998322i | ||||
\(449\) | −8.71287 | + | 38.1736i | −0.411186 | + | 1.80152i | 0.167387 | + | 0.985891i | \(0.446467\pi\) |
−0.578573 | + | 0.815631i | \(0.696390\pi\) | |||||||
\(450\) | −4.18135 | + | 0.501166i | −0.197111 | + | 0.0236252i | ||||
\(451\) | 0.333132 | + | 1.45955i | 0.0156866 | + | 0.0687273i | ||||
\(452\) | 0.205418 | + | 14.4883i | 0.00966204 | + | 0.681471i | ||||
\(453\) | −9.57613 | + | 7.63671i | −0.449926 | + | 0.358804i | ||||
\(454\) | 20.4541 | − | 33.0706i | 0.959959 | − | 1.55208i | ||||
\(455\) | −4.66472 | + | 1.69390i | −0.218685 | + | 0.0794114i | ||||
\(456\) | −6.71741 | + | 20.5918i | −0.314572 | + | 0.964298i | ||||
\(457\) | −6.14990 | − | 26.9445i | −0.287680 | − | 1.26041i | −0.887699 | − | 0.460423i | \(-0.847698\pi\) |
0.600019 | − | 0.799986i | \(-0.295160\pi\) | |||||||
\(458\) | 5.17270 | − | 15.1258i | 0.241705 | − | 0.706784i | ||||
\(459\) | 2.48583i | 0.116029i | ||||||||
\(460\) | −9.57755 | + | 20.6312i | −0.446556 | + | 0.961934i | ||||
\(461\) | 24.1769 | − | 19.2804i | 1.12603 | − | 0.897978i | 0.130408 | − | 0.991460i | \(-0.458371\pi\) |
0.995621 | + | 0.0934821i | \(0.0297998\pi\) | |||||||
\(462\) | −6.21465 | − | 1.29595i | −0.289132 | − | 0.0602931i | ||||
\(463\) | −31.3237 | − | 24.9799i | −1.45574 | − | 1.16091i | −0.955487 | − | 0.295032i | \(-0.904670\pi\) |
−0.500251 | − | 0.865881i | \(-0.666759\pi\) | |||||||
\(464\) | −32.3614 | + | 0.917839i | −1.50234 | + | 0.0426096i | ||||
\(465\) | −0.350633 | + | 0.728097i | −0.0162602 | + | 0.0337647i | ||||
\(466\) | −10.6658 | + | 1.27837i | −0.494083 | + | 0.0592196i | ||||
\(467\) | 6.83058 | − | 8.56528i | 0.316082 | − | 0.396354i | −0.598257 | − | 0.801304i | \(-0.704140\pi\) |
0.914339 | + | 0.404951i | \(0.132711\pi\) | |||||||
\(468\) | −2.36039 | + | 1.17822i | −0.109109 | + | 0.0544631i | ||||
\(469\) | −24.8897 | + | 3.10035i | −1.14930 | + | 0.143161i | ||||
\(470\) | 3.89156 | − | 11.3796i | 0.179504 | − | 0.524900i | ||||
\(471\) | − | 8.63322i | − | 0.397798i | ||||||
\(472\) | −3.84109 | − | 28.6085i | −0.176800 | − | 1.31681i | ||||
\(473\) | 3.40815 | + | 4.27369i | 0.156707 | + | 0.196504i | ||||
\(474\) | 16.9804 | − | 17.2229i | 0.779936 | − | 0.791072i | ||||
\(475\) | −20.5455 | − | 9.89421i | −0.942694 | − | 0.453978i | ||||
\(476\) | 4.02140 | − | 12.5240i | 0.184320 | − | 0.574036i | ||||
\(477\) | 4.93127 | − | 2.37478i | 0.225787 | − | 0.108734i | ||||
\(478\) | 6.23775 | − | 18.2402i | 0.285308 | − | 0.834287i | ||||
\(479\) | 19.4023 | − | 9.34365i | 0.886513 | − | 0.426922i | 0.0655140 | − | 0.997852i | \(-0.479131\pi\) |
0.820999 | + | 0.570929i | \(0.193417\pi\) | |||||||
\(480\) | −8.02054 | − | 0.616841i | −0.366086 | − | 0.0281548i | ||||
\(481\) | −1.96687 | + | 4.08425i | −0.0896815 | + | 0.186226i | ||||
\(482\) | 22.8938 | − | 8.19349i | 1.04278 | − | 0.373203i | ||||
\(483\) | 15.1367 | + | 14.7858i | 0.688743 | + | 0.672778i | ||||
\(484\) | −15.8851 | − | 3.38947i | −0.722049 | − | 0.154067i | ||||
\(485\) | 0.587503 | − | 2.57402i | 0.0266771 | − | 0.116880i | ||||
\(486\) | 0.148376 | − | 1.40641i | 0.00673047 | − | 0.0637960i | ||||
\(487\) | 21.3137 | + | 4.86470i | 0.965814 | + | 0.220441i | 0.676212 | − | 0.736707i | \(-0.263620\pi\) |
0.289601 | + | 0.957147i | \(0.406477\pi\) | |||||||
\(488\) | −0.916049 | + | 0.603136i | −0.0414676 | + | 0.0273027i | ||||
\(489\) | 9.35450i | 0.423025i | ||||||||
\(490\) | −7.12217 | + | 12.1428i | −0.321747 | + | 0.548556i | ||||
\(491\) | − | 12.1999i | − | 0.550572i | −0.961362 | − | 0.275286i | \(-0.911228\pi\) | ||
0.961362 | − | 0.275286i | \(-0.0887725\pi\) | |||||||
\(492\) | 1.76456 | − | 0.0250183i | 0.0795524 | − | 0.00112791i | ||||
\(493\) | −19.6149 | − | 4.47697i | −0.883411 | − | 0.201633i | ||||
\(494\) | −14.2064 | − | 1.49877i | −0.639176 | − | 0.0674330i | ||||
\(495\) | −0.536878 | + | 2.35222i | −0.0241309 | + | 0.105724i | ||||
\(496\) | 1.36634 | − | 1.81670i | 0.0613504 | − | 0.0815721i | ||||
\(497\) | 20.7150 | − | 33.8422i | 0.929195 | − | 1.51803i | ||||
\(498\) | −1.23866 | − | 3.46098i | −0.0555055 | − | 0.155090i | ||||
\(499\) | 9.56253 | − | 19.8568i | 0.428078 | − | 0.888913i | −0.569673 | − | 0.821872i | \(-0.692930\pi\) |
0.997750 | − | 0.0670407i | \(-0.0213558\pi\) | |||||||
\(500\) | 4.73477 | − | 22.1899i | 0.211745 | − | 0.992364i | ||||
\(501\) | 7.77071 | − | 3.74217i | 0.347170 | − | 0.167188i | ||||
\(502\) | 3.60101 | + | 1.23147i | 0.160721 | + | 0.0549630i | ||||
\(503\) | −4.16353 | + | 2.00505i | −0.185643 | + | 0.0894008i | −0.524396 | − | 0.851474i | \(-0.675709\pi\) |
0.338754 | + | 0.940875i | \(0.389995\pi\) | |||||||
\(504\) | −3.02273 | + | 6.84566i | −0.134643 | + | 0.304930i | ||||
\(505\) | −7.04749 | − | 3.39389i | −0.313609 | − | 0.151026i | ||||
\(506\) | −13.6652 | − | 13.4728i | −0.607493 | − | 0.598941i | ||||
\(507\) | 7.02055 | + | 8.80349i | 0.311793 | + | 0.390977i | ||||
\(508\) | 16.1352 | + | 7.49037i | 0.715882 | + | 0.332332i | ||||
\(509\) | − | 9.07885i | − | 0.402413i | −0.979549 | − | 0.201206i | \(-0.935514\pi\) | ||
0.979549 | − | 0.201206i | \(-0.0644862\pi\) | |||||||
\(510\) | −4.73019 | − | 1.61762i | −0.209456 | − | 0.0716295i | ||||
\(511\) | −5.97969 | − | 2.01400i | −0.264526 | − | 0.0890941i | ||||
\(512\) | 21.7907 | + | 6.09651i | 0.963020 | + | 0.269430i | ||||
\(513\) | 4.77461 | − | 5.98717i | 0.210804 | − | 0.264340i | ||||
\(514\) | −3.17656 | − | 26.5028i | −0.140112 | − | 1.16899i | ||||
\(515\) | −7.34037 | + | 15.2424i | −0.323455 | + | 0.671662i | ||||
\(516\) | 5.76520 | − | 2.87776i | 0.253799 | − | 0.126686i | ||||
\(517\) | 7.93281 | + | 6.32620i | 0.348884 | + | 0.278226i | ||||
\(518\) | 3.09671 | + | 12.4804i | 0.136061 | + | 0.548357i | ||||
\(519\) | 15.7125 | − | 12.5303i | 0.689700 | − | 0.550018i | ||||
\(520\) | −0.705989 | − | 5.25822i | −0.0309596 | − | 0.230588i | ||||
\(521\) | − | 41.3292i | − | 1.81067i | −0.424701 | − | 0.905334i | \(-0.639621\pi\) | ||
0.424701 | − | 0.905334i | \(-0.360379\pi\) | |||||||
\(522\) | 10.8303 | + | 3.70373i | 0.474030 | + | 0.162108i | ||||
\(523\) | 2.77781 | + | 12.1704i | 0.121465 | + | 0.532174i | 0.998646 | + | 0.0520144i | \(0.0165642\pi\) |
−0.877181 | + | 0.480160i | \(0.840579\pi\) | |||||||
\(524\) | −2.65531 | + | 2.17984i | −0.115998 | + | 0.0952266i | ||||
\(525\) | −6.71968 | − | 4.11315i | −0.293271 | − | 0.179513i | ||||
\(526\) | −12.7101 | − | 7.86119i | −0.554188 | − | 0.342764i | ||||
\(527\) | 1.10447 | − | 0.880787i | 0.0481116 | − | 0.0383677i | ||||
\(528\) | 2.77008 | − | 6.19559i | 0.120552 | − | 0.269628i | ||||
\(529\) | 9.11508 | + | 39.9358i | 0.396308 | + | 1.73634i | ||||
\(530\) | 1.30991 | + | 10.9289i | 0.0568988 | + | 0.474721i | ||||
\(531\) | −2.27091 | + | 9.94952i | −0.0985492 | + | 0.431772i | ||||
\(532\) | −33.7408 | + | 22.4403i | −1.46285 | + | 0.972908i | ||||
\(533\) | 0.258991 | + | 1.13471i | 0.0112181 | + | 0.0491499i | ||||
\(534\) | 15.7738 | − | 5.64530i | 0.682598 | − | 0.244296i | ||||
\(535\) | 1.77212 | − | 2.22216i | 0.0766153 | − | 0.0960725i | ||||
\(536\) | 2.43493 | − | 26.7031i | 0.105173 | − | 1.15340i | ||||
\(537\) | −0.810909 | − | 1.68387i | −0.0349933 | − | 0.0726643i | ||||
\(538\) | −10.5967 | − | 16.6021i | −0.456856 | − | 0.715769i | ||||
\(539\) | −7.62066 | − | 9.10934i | −0.328245 | − | 0.392367i | ||||
\(540\) | 2.57965 | + | 1.19754i | 0.111010 | + | 0.0515340i | ||||
\(541\) | 9.32883 | − | 4.49253i | 0.401078 | − | 0.193149i | −0.222461 | − | 0.974942i | \(-0.571409\pi\) |
0.623538 | + | 0.781793i | \(0.285695\pi\) | |||||||
\(542\) | 15.4982 | + | 43.3042i | 0.665706 | + | 1.86008i | ||||
\(543\) | 17.9834 | + | 14.3413i | 0.771741 | + | 0.615443i | ||||
\(544\) | 12.1642 | + | 7.05480i | 0.521538 | + | 0.302472i | ||||
\(545\) | −20.3442 | + | 4.64343i | −0.871449 | + | 0.198903i | ||||
\(546\) | −4.83153 | − | 1.00753i | −0.206770 | − | 0.0431182i | ||||
\(547\) | −2.91929 | − | 0.666309i | −0.124820 | − | 0.0284893i | 0.159655 | − | 0.987173i | \(-0.448962\pi\) |
−0.284474 | + | 0.958684i | \(0.591819\pi\) | |||||||
\(548\) | −11.3463 | + | 9.31459i | −0.484692 | + | 0.397900i | ||||
\(549\) | 0.378047 | − | 0.0862867i | 0.0161346 | − | 0.00368263i | ||||
\(550\) | 6.07675 | + | 3.75846i | 0.259113 | + | 0.160261i | ||||
\(551\) | 38.6438 | + | 48.4578i | 1.64628 | + | 2.06437i | ||||
\(552\) | −18.8934 | + | 12.4396i | −0.804155 | + | 0.529464i | ||||
\(553\) | 44.9008 | − | 5.59300i | 1.90938 | − | 0.237839i | ||||
\(554\) | −31.4732 | + | 3.77229i | −1.33717 | + | 0.160269i | ||||
\(555\) | 4.76453 | − | 1.08747i | 0.202243 | − | 0.0461606i | ||||
\(556\) | 13.8632 | − | 3.37166i | 0.587931 | − | 0.142990i | ||||
\(557\) | 4.40297 | 0.186560 | 0.0932799 | − | 0.995640i | \(-0.470265\pi\) | ||||
0.0932799 | + | 0.995640i | \(0.470265\pi\) | |||||||
\(558\) | −0.677451 | + | 0.432399i | −0.0286788 | + | 0.0183049i | ||||
\(559\) | 2.64964 | + | 3.32255i | 0.112068 | + | 0.140529i | ||||
\(560\) | −11.0594 | − | 10.2066i | −0.467343 | − | 0.431306i | ||||
\(561\) | 2.62964 | − | 3.29746i | 0.111023 | − | 0.139219i | ||||
\(562\) | 1.31036 | − | 12.4205i | 0.0552742 | − | 0.523926i | ||||
\(563\) | 25.8010 | + | 12.4251i | 1.08738 | + | 0.523656i | 0.889670 | − | 0.456603i | \(-0.150934\pi\) |
0.197714 | + | 0.980260i | \(0.436648\pi\) | |||||||
\(564\) | 9.24441 | − | 7.58905i | 0.389260 | − | 0.319556i | ||||
\(565\) | 8.05476 | + | 6.42345i | 0.338866 | + | 0.270237i | ||||
\(566\) | −1.91692 | + | 18.1698i | −0.0805740 | + | 0.763736i | ||||
\(567\) | 1.84876 | − | 1.89264i | 0.0776408 | − | 0.0794832i | ||||
\(568\) | 30.6254 | + | 29.3497i | 1.28501 | + | 1.23149i | ||||
\(569\) | −11.6071 | −0.486596 | −0.243298 | − | 0.969952i | \(-0.578229\pi\) | ||||
−0.243298 | + | 0.969952i | \(0.578229\pi\) | |||||||
\(570\) | 8.28575 | + | 12.9815i | 0.347052 | + | 0.543736i | ||||
\(571\) | 26.5225 | − | 21.1510i | 1.10993 | − | 0.885141i | 0.115796 | − | 0.993273i | \(-0.463058\pi\) |
0.994137 | + | 0.108132i | \(0.0344868\pi\) | |||||||
\(572\) | 4.37746 | + | 0.934038i | 0.183031 | + | 0.0390541i | ||||
\(573\) | 4.52932 | − | 9.40523i | 0.189215 | − | 0.392909i | ||||
\(574\) | 2.61950 | + | 2.00954i | 0.109336 | + | 0.0838764i | ||||
\(575\) | −10.3332 | − | 21.4572i | −0.430926 | − | 0.894827i | ||||
\(576\) | −6.46108 | − | 4.71747i | −0.269212 | − | 0.196561i | ||||
\(577\) | 7.65840 | + | 15.9028i | 0.318823 | + | 0.662044i | 0.997367 | − | 0.0725163i | \(-0.0231029\pi\) |
−0.678544 | + | 0.734560i | \(0.737389\pi\) | |||||||
\(578\) | −10.8971 | − | 10.7437i | −0.453259 | − | 0.446878i | ||||
\(579\) | −19.5627 | − | 9.42089i | −0.812997 | − | 0.391519i | ||||
\(580\) | −14.0954 | + | 18.1984i | −0.585279 | + | 0.755649i | ||||
\(581\) | 2.19509 | − | 6.51735i | 0.0910676 | − | 0.270385i | ||||
\(582\) | 1.84344 | − | 1.86976i | 0.0764131 | − | 0.0775042i | ||||
\(583\) | −9.05352 | − | 2.06641i | −0.374958 | − | 0.0855818i | ||||
\(584\) | 3.46651 | − | 5.78651i | 0.143445 | − | 0.239448i | ||||
\(585\) | −0.417392 | + | 1.82871i | −0.0172570 | + | 0.0756080i | ||||
\(586\) | −24.4816 | − | 15.1418i | −1.01133 | − | 0.625503i | ||||
\(587\) | 25.9925 | 1.07282 | 0.536412 | − | 0.843956i | \(-0.319779\pi\) | ||||
0.536412 | + | 0.843956i | \(0.319779\pi\) | |||||||
\(588\) | −12.3761 | + | 6.54459i | −0.510383 | + | 0.269894i | ||||
\(589\) | −4.35190 | −0.179317 | ||||||||
\(590\) | −17.4548 | − | 10.7958i | −0.718603 | − | 0.444455i | ||||
\(591\) | 3.72643 | − | 16.3266i | 0.153285 | − | 0.671586i | ||||
\(592\) | −13.7412 | + | 0.389729i | −0.564758 | + | 0.0160178i | ||||
\(593\) | −26.4267 | − | 6.03173i | −1.08522 | − | 0.247694i | −0.357737 | − | 0.933823i | \(-0.616451\pi\) |
−0.727480 | + | 0.686129i | \(0.759309\pi\) | |||||||
\(594\) | −1.68459 | + | 1.70865i | −0.0691197 | + | 0.0701067i | ||||
\(595\) | −5.06836 | − | 7.86014i | −0.207783 | − | 0.322234i | ||||
\(596\) | −27.9696 | − | 21.6635i | −1.14568 | − | 0.887373i | ||||
\(597\) | −20.1056 | − | 9.68233i | −0.822866 | − | 0.396271i | ||||
\(598\) | −10.6239 | − | 10.4744i | −0.434444 | − | 0.428328i | ||||
\(599\) | 11.1590 | + | 23.1720i | 0.455946 | + | 0.946781i | 0.994554 | + | 0.104224i | \(0.0332360\pi\) |
−0.538608 | + | 0.842556i | \(0.681050\pi\) | |||||||
\(600\) | 5.82766 | − | 6.08095i | 0.237913 | − | 0.248254i | ||||
\(601\) | 15.9723 | + | 33.1669i | 0.651526 | + | 1.35291i | 0.920873 | + | 0.389864i | \(0.127478\pi\) |
−0.269347 | + | 0.963043i | \(0.586808\pi\) | |||||||
\(602\) | 11.8009 | + | 2.46086i | 0.480968 | + | 0.100297i | ||||
\(603\) | −4.11328 | + | 8.54131i | −0.167506 | + | 0.347829i | ||||
\(604\) | 5.11189 | − | 23.9573i | 0.208000 | − | 0.974811i | ||||
\(605\) | −9.02921 | + | 7.20056i | −0.367090 | + | 0.292744i | ||||
\(606\) | −4.18533 | − | 6.55726i | −0.170017 | − | 0.266371i | ||||
\(607\) | −40.4498 | −1.64181 | −0.820904 | − | 0.571066i | \(-0.806530\pi\) | ||||
−0.820904 | + | 0.571066i | \(0.806530\pi\) | |||||||
\(608\) | −15.7475 | − | 40.3559i | −0.638644 | − | 1.63665i | ||||
\(609\) | 11.6046 | + | 17.9967i | 0.470241 | + | 0.729261i | ||||
\(610\) | −0.0818175 | + | 0.775522i | −0.00331269 | + | 0.0313999i | ||||
\(611\) | 6.16730 | + | 4.91826i | 0.249502 | + | 0.198971i | ||||
\(612\) | −3.15457 | − | 3.84266i | −0.127516 | − | 0.155330i | ||||
\(613\) | −26.7823 | − | 12.8977i | −1.08173 | − | 0.520932i | −0.193859 | − | 0.981029i | \(-0.562100\pi\) |
−0.887869 | + | 0.460097i | \(0.847815\pi\) | |||||||
\(614\) | −0.930469 | + | 8.81962i | −0.0375507 | + | 0.355931i | ||||
\(615\) | 0.782326 | − | 0.981006i | 0.0315464 | − | 0.0395580i | ||||
\(616\) | 11.2514 | − | 5.88321i | 0.453330 | − | 0.237041i | ||||
\(617\) | −18.3080 | − | 22.9574i | −0.737050 | − | 0.924232i | 0.262117 | − | 0.965036i | \(-0.415579\pi\) |
−0.999167 | + | 0.0408041i | \(0.987008\pi\) | |||||||
\(618\) | −14.1822 | + | 9.05210i | −0.570490 | + | 0.364129i | ||||
\(619\) | 42.9810 | 1.72755 | 0.863777 | − | 0.503875i | \(-0.168093\pi\) | ||||
0.863777 | + | 0.503875i | \(0.168093\pi\) | |||||||
\(620\) | −0.381953 | − | 1.57047i | −0.0153396 | − | 0.0630718i | ||||
\(621\) | 7.79716 | − | 1.77965i | 0.312889 | − | 0.0714149i | ||||
\(622\) | 26.9073 | − | 3.22504i | 1.07889 | − | 0.129312i | ||||
\(623\) | 29.7035 | + | 10.0044i | 1.19005 | + | 0.400816i | ||||
\(624\) | 2.15358 | − | 4.81671i | 0.0862122 | − | 0.192823i | ||||
\(625\) | −0.775262 | − | 0.972148i | −0.0310105 | − | 0.0388859i | ||||
\(626\) | 25.2733 | + | 15.6315i | 1.01013 | + | 0.624761i | ||||
\(627\) | −12.6671 | + | 2.89118i | −0.505875 | + | 0.115463i | ||||
\(628\) | 10.9557 | + | 13.3455i | 0.437182 | + | 0.532542i | ||||
\(629\) | −8.32879 | − | 1.90099i | −0.332091 | − | 0.0757975i | ||||
\(630\) | 2.39837 | + | 4.74956i | 0.0955532 | + | 0.189227i | ||||
\(631\) | −14.1708 | + | 3.23440i | −0.564132 | + | 0.128759i | −0.495070 | − | 0.868853i | \(-0.664858\pi\) |
−0.0690617 | + | 0.997612i | \(0.522001\pi\) | |||||||
\(632\) | −4.39259 | + | 48.1721i | −0.174728 | + | 1.91618i | ||||
\(633\) | −0.234109 | − | 0.186696i | −0.00930500 | − | 0.00742049i | ||||
\(634\) | −2.20658 | − | 6.16549i | −0.0876343 | − | 0.244863i | ||||
\(635\) | 11.3957 | − | 5.48788i | 0.452224 | − | 0.217780i | ||||
\(636\) | −4.60926 | + | 9.92889i | −0.182769 | + | 0.393706i | ||||
\(637\) | −5.92463 | − | 7.08199i | −0.234742 | − | 0.280599i | ||||
\(638\) | −10.4485 | − | 16.3699i | −0.413658 | − | 0.648090i | ||||
\(639\) | −6.50703 | − | 13.5120i | −0.257414 | − | 0.534526i | ||||
\(640\) | 13.1812 | − | 9.22471i | 0.521031 | − | 0.364639i | ||||
\(641\) | 4.12633 | − | 5.17426i | 0.162980 | − | 0.204371i | −0.693635 | − | 0.720327i | \(-0.743992\pi\) |
0.856615 | + | 0.515956i | \(0.172563\pi\) | |||||||
\(642\) | 2.66132 | − | 0.952465i | 0.105034 | − | 0.0375908i | ||||
\(643\) | −8.83827 | − | 38.7230i | −0.348547 | − | 1.52709i | −0.780481 | − | 0.625180i | \(-0.785026\pi\) |
0.431934 | − | 0.901905i | \(-0.357831\pi\) | |||||||
\(644\) | −42.1622 | − | 3.64753i | −1.66142 | − | 0.143733i | ||||
\(645\) | 1.01947 | − | 4.46658i | 0.0401415 | − | 0.175872i | ||||
\(646\) | −3.20378 | − | 26.7299i | −0.126051 | − | 1.05167i | ||||
\(647\) | −1.24669 | − | 5.46209i | −0.0490123 | − | 0.214737i | 0.944492 | − | 0.328536i | \(-0.106555\pi\) |
−0.993504 | + | 0.113799i | \(0.963698\pi\) | |||||||
\(648\) | 1.55540 | + | 2.36236i | 0.0611019 | + | 0.0928022i | ||||
\(649\) | 13.5375 | − | 10.7958i | 0.531393 | − | 0.423772i | ||||
\(650\) | 4.72432 | + | 2.92198i | 0.185303 | + | 0.114610i | ||||
\(651\) | −1.49597 | − | 0.150815i | −0.0586318 | − | 0.00591089i | ||||
\(652\) | −11.8711 | − | 14.4604i | −0.464907 | − | 0.566315i | ||||
\(653\) | −3.08923 | − | 13.5348i | −0.120891 | − | 0.529658i | −0.998715 | − | 0.0506753i | \(-0.983863\pi\) |
0.877824 | − | 0.478983i | \(-0.158995\pi\) | |||||||
\(654\) | −19.6362 | − | 6.71514i | −0.767835 | − | 0.262583i | ||||
\(655\) | 2.44266i | 0.0954428i | ||||||||
\(656\) | −2.69595 | + | 2.27794i | −0.105259 | + | 0.0889384i | ||||
\(657\) | −1.86456 | + | 1.48693i | −0.0727433 | + | 0.0580108i | ||||
\(658\) | 22.3720 | − | 0.420959i | 0.872152 | − | 0.0164107i | ||||
\(659\) | −27.5847 | − | 21.9981i | −1.07455 | − | 0.856923i | −0.0843273 | − | 0.996438i | \(-0.526874\pi\) |
−0.990220 | + | 0.139515i | \(0.955446\pi\) | |||||||
\(660\) | −2.15509 | − | 4.31743i | −0.0838869 | − | 0.168056i | ||||
\(661\) | −14.1894 | + | 29.4646i | −0.551904 | + | 1.14604i | 0.419313 | + | 0.907842i | \(0.362271\pi\) |
−0.971217 | + | 0.238198i | \(0.923443\pi\) | |||||||
\(662\) | −2.26346 | − | 18.8846i | −0.0879718 | − | 0.733970i | ||||
\(663\) | 2.04439 | − | 2.56359i | 0.0793977 | − | 0.0995616i | ||||
\(664\) | 6.30680 | + | 3.77820i | 0.244751 | + | 0.146622i | ||||
\(665\) | −2.88995 | + | 28.6663i | −0.112068 | + | 1.11163i | ||||
\(666\) | 4.59871 | + | 1.57266i | 0.178197 | + | 0.0609393i | ||||
\(667\) | 64.7301i | 2.50636i | ||||||||
\(668\) | −7.26327 | + | 15.6460i | −0.281024 | + | 0.605360i | ||||
\(669\) | 6.03154 | + | 7.56332i | 0.233193 | + | 0.292415i | ||||
\(670\) | −13.5763 | − | 13.3852i | −0.524497 | − | 0.517114i | ||||
\(671\) | −0.592760 | − | 0.285458i | −0.0228832 | − | 0.0110200i | ||||
\(672\) | −4.01468 | − | 14.4181i | −0.154870 | − | 0.556191i | ||||
\(673\) | 5.59689 | − | 2.69532i | 0.215744 | − | 0.103897i | −0.322891 | − | 0.946436i | \(-0.604655\pi\) |
0.538635 | + | 0.842539i | \(0.318940\pi\) | |||||||
\(674\) | 22.4502 | + | 7.67749i | 0.864751 | + | 0.295726i | ||||
\(675\) | −2.68293 | + | 1.29203i | −0.103266 | + | 0.0497303i | ||||
\(676\) | −22.0244 | − | 4.69945i | −0.847091 | − | 0.180748i | ||||
\(677\) | 2.55976 | − | 5.31541i | 0.0983798 | − | 0.204288i | −0.845970 | − | 0.533230i | \(-0.820978\pi\) |
0.944350 | + | 0.328943i | \(0.106692\pi\) | |||||||
\(678\) | 3.45243 | + | 9.64659i | 0.132590 | + | 0.370475i | ||||
\(679\) | 4.87456 | − | 0.607192i | 0.187068 | − | 0.0233019i | ||||
\(680\) | 9.36486 | − | 3.50215i | 0.359126 | − | 0.134301i | ||||
\(681\) | 6.11839 | − | 26.8064i | 0.234457 | − | 1.02722i | ||||
\(682\) | 1.35606 | + | 0.143064i | 0.0519261 | + | 0.00547819i | ||||
\(683\) | −13.1159 | − | 2.99362i | −0.501866 | − | 0.114548i | −0.0359089 | − | 0.999355i | \(-0.511433\pi\) |
−0.465957 | + | 0.884808i | \(0.654290\pi\) | |||||||
\(684\) | 0.217128 | + | 15.3142i | 0.00830211 | + | 0.585554i | ||||
\(685\) | 10.4377i | 0.398803i | ||||||||
\(686\) | −25.7584 | − | 4.74406i | −0.983459 | − | 0.181129i | ||||
\(687\) | − | 11.3037i | − | 0.431263i | ||||||
\(688\) | −5.26006 | + | 11.7647i | −0.200538 | + | 0.448525i | ||||
\(689\) | −7.03859 | − | 1.60651i | −0.268149 | − | 0.0612033i | ||||
\(690\) | −1.68747 | + | 15.9950i | −0.0642410 | + | 0.608920i | ||||
\(691\) | 7.60625 | − | 33.3252i | 0.289356 | − | 1.26775i | −0.596056 | − | 0.802943i | \(-0.703267\pi\) |
0.885412 | − | 0.464807i | \(-0.153876\pi\) | |||||||
\(692\) | −8.38757 | + | 39.3091i | −0.318848 | + | 1.49431i | ||||
\(693\) | −4.45452 | + | 0.554871i | −0.169213 | + | 0.0210778i | ||||
\(694\) | 9.53689 | − | 3.41317i | 0.362016 | − | 0.129562i | ||||
\(695\) | 4.40145 | − | 9.13970i | 0.166956 | − | 0.346689i | ||||
\(696\) | −21.4419 | + | 8.01857i | −0.812753 | + | 0.303943i | ||||
\(697\) | −1.97620 | + | 0.951687i | −0.0748538 | + | 0.0360477i | ||||
\(698\) | −1.87905 | + | 5.49466i | −0.0711232 | + | 0.207976i | ||||
\(699\) | −6.84361 | + | 3.29571i | −0.258849 | + | 0.124655i | ||||
\(700\) | 15.6071 | − | 2.16919i | 0.589895 | − | 0.0819878i | ||||
\(701\) | 30.5934 | + | 14.7330i | 1.15550 | + | 0.556458i | 0.910681 | − | 0.413111i | \(-0.135558\pi\) |
0.244817 | + | 0.969569i | \(0.421272\pi\) | |||||||
\(702\) | −1.30968 | + | 1.32838i | −0.0494305 | + | 0.0501363i | ||||
\(703\) | 16.4088 | + | 20.5759i | 0.618869 | + | 0.776037i | ||||
\(704\) | 3.58027 | + | 13.0926i | 0.134936 | + | 0.493446i | ||||
\(705\) | − | 8.50408i | − | 0.320282i | ||||||
\(706\) | 4.89814 | − | 14.3230i | 0.184344 | − | 0.539052i | ||||
\(707\) | 1.45978 | − | 14.4800i | 0.0549008 | − | 0.544576i | ||||
\(708\) | −9.11572 | − | 18.2621i | −0.342590 | − | 0.686331i | ||||
\(709\) | −19.4725 | + | 24.4178i | −0.731306 | + | 0.917029i | −0.998918 | − | 0.0464979i | \(-0.985194\pi\) |
0.267612 | + | 0.963527i | \(0.413765\pi\) | |||||||
\(710\) | 29.9458 | − | 3.58923i | 1.12385 | − | 0.134701i | ||||
\(711\) | 7.42030 | − | 15.4084i | 0.278283 | − | 0.577861i | ||||
\(712\) | −17.2195 | + | 28.7439i | −0.645329 | + | 1.07722i | ||||
\(713\) | −3.55343 | − | 2.83376i | −0.133077 | − | 0.106125i | ||||
\(714\) | −0.174982 | − | 9.29948i | −0.00654854 | − | 0.348024i | ||||
\(715\) | 2.48818 | − | 1.98426i | 0.0930527 | − | 0.0742071i | ||||
\(716\) | 3.39039 | + | 1.57391i | 0.126705 | + | 0.0588198i | ||||
\(717\) | − | 13.6311i | − | 0.509063i | ||||||
\(718\) | −5.65673 | + | 16.5412i | −0.211107 | + | 0.617312i | ||||
\(719\) | 3.92315 | + | 17.1885i | 0.146309 | + | 0.641021i | 0.993892 | + | 0.110358i | \(0.0351998\pi\) |
−0.847583 | + | 0.530663i | \(0.821943\pi\) | |||||||
\(720\) | −5.50740 | + | 1.42244i | −0.205249 | + | 0.0530111i | ||||
\(721\) | −31.3176 | − | 3.15724i | −1.16633 | − | 0.117582i | ||||
\(722\) | −29.4905 | + | 47.6809i | −1.09752 | + | 1.77450i | ||||
\(723\) | 13.4427 | − | 10.7202i | 0.499940 | − | 0.398689i | ||||
\(724\) | −45.9986 | + | 0.652178i | −1.70952 | + | 0.0242380i | ||||
\(725\) | −5.36306 | − | 23.4971i | −0.199179 | − | 0.872660i | ||||
\(726\) | −11.4037 | + | 1.36682i | −0.423230 | + | 0.0507273i | ||||
\(727\) | −9.14201 | + | 40.0538i | −0.339058 | + | 1.48551i | 0.461976 | + | 0.886893i | \(0.347141\pi\) |
−0.801034 | + | 0.598619i | \(0.795716\pi\) | |||||||
\(728\) | 8.74729 | − | 4.57386i | 0.324196 | − | 0.169518i | ||||
\(729\) | −0.222521 | − | 0.974928i | −0.00824152 | − | 0.0361084i | ||||
\(730\) | −1.61610 | − | 4.51560i | −0.0598144 | − | 0.167130i | ||||
\(731\) | −4.99338 | + | 6.26150i | −0.184687 | + | 0.231590i | ||||
\(732\) | −0.474896 | + | 0.613134i | −0.0175526 | + | 0.0226621i | ||||
\(733\) | 14.0440 | + | 29.1626i | 0.518726 | + | 1.07715i | 0.981640 | + | 0.190743i | \(0.0610897\pi\) |
−0.462914 | + | 0.886403i | \(0.653196\pi\) | |||||||
\(734\) | −6.85915 | + | 4.37801i | −0.253176 | + | 0.161595i | ||||
\(735\) | −1.98685 | + | 9.75392i | −0.0732861 | + | 0.359779i | ||||
\(736\) | 13.4198 | − | 43.2055i | 0.494660 | − | 1.59258i | ||||
\(737\) | 14.4917 | − | 6.97885i | 0.533810 | − | 0.257069i | ||||
\(738\) | 1.17488 | − | 0.420479i | 0.0432479 | − | 0.0154781i | ||||
\(739\) | 13.5331 | + | 10.7923i | 0.497821 | + | 0.396999i | 0.839958 | − | 0.542651i | \(-0.182579\pi\) |
−0.342137 | + | 0.939650i | \(0.611151\pi\) | |||||||
\(740\) | −5.98511 | + | 7.72734i | −0.220017 | + | 0.284063i | ||||
\(741\) | −9.84793 | + | 2.24773i | −0.361773 | + | 0.0825723i | ||||
\(742\) | −18.2807 | + | 9.23115i | −0.671106 | + | 0.338886i | ||||
\(743\) | 37.9342 | + | 8.65823i | 1.39167 | + | 0.317640i | 0.851694 | − | 0.524040i | \(-0.175576\pi\) |
0.539977 | + | 0.841680i | \(0.318433\pi\) | |||||||
\(744\) | 0.498499 | − | 1.52811i | 0.0182758 | − | 0.0560234i | ||||
\(745\) | −24.5237 | + | 5.59738i | −0.898479 | + | 0.205072i | ||||
\(746\) | 0.371654 | − | 0.600897i | 0.0136072 | − | 0.0220004i | ||||
\(747\) | −1.62063 | − | 2.03221i | −0.0592958 | − | 0.0743546i | ||||
\(748\) | 0.119584 | + | 8.43438i | 0.00437244 | + | 0.308392i | ||||
\(749\) | 5.01152 | + | 1.68792i | 0.183117 | + | 0.0616751i | ||||
\(750\) | −1.90931 | − | 15.9298i | −0.0697181 | − | 0.581676i | ||||
\(751\) | −6.75387 | + | 1.54153i | −0.246452 | + | 0.0562511i | −0.343962 | − | 0.938983i | \(-0.611769\pi\) |
0.0975102 | + | 0.995235i | \(0.468912\pi\) | |||||||
\(752\) | −4.65959 | + | 23.4627i | −0.169918 | + | 0.855597i | ||||
\(753\) | 2.69108 | 0.0980682 | ||||||||
\(754\) | −8.12307 | − | 12.7266i | −0.295825 | − | 0.463477i | ||||
\(755\) | −10.8596 | − | 13.6176i | −0.395223 | − | 0.495594i | ||||
\(756\) | −0.456074 | + | 5.27181i | −0.0165873 | + | 0.191734i | ||||
\(757\) | −9.68453 | + | 12.1440i | −0.351990 | + | 0.441382i | −0.926032 | − | 0.377444i | \(-0.876803\pi\) |
0.574042 | + | 0.818826i | \(0.305375\pi\) | |||||||
\(758\) | −13.8855 | − | 1.46492i | −0.504343 | − | 0.0532081i | ||||
\(759\) | −12.2256 | − | 5.88753i | −0.443760 | − | 0.213704i | ||||
\(760\) | −29.2822 | − | 9.55237i | −1.06218 | − | 0.346501i | ||||
\(761\) | 4.90525 | + | 3.91180i | 0.177815 | + | 0.141803i | 0.708353 | − | 0.705858i | \(-0.249439\pi\) |
−0.530538 | + | 0.847661i | \(0.678010\pi\) | |||||||
\(762\) | 12.5093 | + | 1.31973i | 0.453164 | + | 0.0478088i | ||||
\(763\) | −21.0400 | − | 32.6293i | −0.761699 | − | 1.18126i | ||||
\(764\) | 4.93390 | + | 20.2867i | 0.178502 | + | 0.733946i | ||||
\(765\) | −3.53493 | −0.127806 | ||||||||
\(766\) | 42.0998 | − | 26.8712i | 1.52113 | − | 0.970896i | ||||
\(767\) | 10.5246 | − | 8.39311i | 0.380022 | − | 0.303058i | ||||
\(768\) | 15.9743 | − | 0.906859i | 0.576422 | − | 0.0327234i | ||||
\(769\) | −5.55559 | + | 11.5363i | −0.200340 | + | 0.416010i | −0.976799 | − | 0.214158i | \(-0.931299\pi\) |
0.776459 | + | 0.630167i | \(0.217014\pi\) | |||||||
\(770\) | 1.84288 | − | 8.83743i | 0.0664129 | − | 0.318479i | ||||
\(771\) | −8.18931 | − | 17.0053i | −0.294931 | − | 0.612430i | ||||
\(772\) | 42.1958 | − | 10.2624i | 1.51866 | − | 0.369352i | ||||
\(773\) | 1.61731 | + | 3.35837i | 0.0581704 | + | 0.120792i | 0.928027 | − | 0.372512i | \(-0.121503\pi\) |
−0.869857 | + | 0.493304i | \(0.835789\pi\) | |||||||
\(774\) | 3.19885 | − | 3.24452i | 0.114980 | − | 0.116622i | ||||
\(775\) | 1.52468 | + | 0.734248i | 0.0547682 | + | 0.0263750i | ||||
\(776\) | −0.476872 | + | 5.22970i | −0.0171187 | + | 0.187735i | ||||
\(777\) | 4.92748 | + | 7.64166i | 0.176772 | + | 0.274143i | ||||
\(778\) | 27.2682 | + | 26.8843i | 0.977613 | + | 0.963851i | ||||
\(779\) | 6.58765 | + | 1.50359i | 0.236027 | + | 0.0538716i | ||||
\(780\) | −1.67546 | − | 3.35656i | −0.0599912 | − | 0.120184i | ||||
\(781\) | −5.66208 | + | 24.8072i | −0.202605 | + | 0.887671i | ||||
\(782\) | 14.7894 | − | 23.9117i | 0.528867 | − | 0.855082i | ||||
\(783\) | 8.09361 | 0.289242 | ||||||||
\(784\) | 10.8261 | − | 25.8224i | 0.386647 | − | 0.922228i | ||||
\(785\) | 12.2767 | 0.438174 | ||||||||
\(786\) | −1.27782 | + | 2.06600i | −0.0455783 | + | 0.0736919i | ||||
\(787\) | 4.56815 | − | 20.0144i | 0.162837 | − | 0.713436i | −0.825905 | − | 0.563809i | \(-0.809336\pi\) |
0.988742 | − | 0.149627i | \(-0.0478073\pi\) | |||||||
\(788\) | 14.9584 | + | 29.9670i | 0.532869 | + | 1.06753i | ||||
\(789\) | −10.3026 | − | 2.35150i | −0.366782 | − | 0.0837155i | ||||
\(790\) | 24.4914 | + | 24.1467i | 0.871367 | + | 0.859100i | ||||
\(791\) | −6.11825 | + | 18.1654i | −0.217540 | + | 0.645889i | ||||
\(792\) | 0.435780 | − | 4.77906i | 0.0154848 | − | 0.169817i | ||||
\(793\) | −0.460837 | − | 0.221927i | −0.0163648 | − | 0.00788087i | ||||
\(794\) | 8.30942 | − | 8.42807i | 0.294890 | − | 0.299101i | ||||
\(795\) | 3.37701 | + | 7.01243i | 0.119770 | + | 0.248705i | ||||
\(796\) | 43.3668 | − | 10.5472i | 1.53710 | − | 0.373835i | ||||
\(797\) | 19.8165 | + | 41.1494i | 0.701937 | + | 1.45759i | 0.880690 | + | 0.473693i | \(0.157079\pi\) |
−0.178754 | + | 0.983894i | \(0.557206\pi\) | |||||||
\(798\) | −17.4403 | + | 22.7341i | −0.617382 | + | 0.804778i | ||||
\(799\) | −6.45004 | + | 13.3937i | −0.228186 | + | 0.473833i | ||||
\(800\) | −1.29170 | + | 16.7955i | −0.0456687 | + | 0.593812i | ||||
\(801\) | 9.26201 | − | 7.38620i | 0.327257 | − | 0.260979i | ||||
\(802\) | −12.6323 | + | 8.06289i | −0.446064 | + | 0.284711i | ||||
\(803\) | 4.04630 | 0.142791 | ||||||||
\(804\) | −4.48069 | − | 18.4232i | −0.158022 | − | 0.649737i | ||||
\(805\) | −21.0259 | + | 21.5248i | −0.741066 | + | 0.758651i | ||||
\(806\) | 1.05426 | + | 0.111224i | 0.0371346 | + | 0.00391769i | ||||
\(807\) | −10.8885 | − | 8.68332i | −0.383295 | − | 0.305667i | ||||
\(808\) | 14.7911 | + | 4.82513i | 0.520349 | + | 0.169747i | ||||
\(809\) | −40.8357 | − | 19.6655i | −1.43571 | − | 0.691401i | −0.455659 | − | 0.890155i | \(-0.650596\pi\) |
−0.980049 | + | 0.198754i | \(0.936310\pi\) | |||||||
\(810\) | 1.99996 | + | 0.210995i | 0.0702713 | + | 0.00741362i | ||||
\(811\) | −19.1828 | + | 24.0545i | −0.673599 | + | 0.844666i | −0.994747 | − | 0.102363i | \(-0.967360\pi\) |
0.321148 | + | 0.947029i | \(0.395931\pi\) | |||||||
\(812\) | −40.7768 | − | 13.0933i | −1.43099 | − | 0.459483i | ||||
\(813\) | 20.2776 | + | 25.4273i | 0.711165 | + | 0.891773i | ||||
\(814\) | −4.43658 | − | 6.95090i | −0.155502 | − | 0.243629i | ||||
\(815\) | −13.3024 | −0.465963 | ||||||||
\(816\) | 9.75285 | + | 1.93687i | 0.341418 | + | 0.0678042i | ||||
\(817\) | 24.0533 | − | 5.49001i | 0.841519 | − | 0.192071i | ||||
\(818\) | −5.98177 | − | 49.9074i | −0.209148 | − | 1.74497i | ||||
\(819\) | −3.46314 | + | 0.431381i | −0.121012 | + | 0.0150737i | ||||
\(820\) | 0.0355768 | + | 2.50926i | 0.00124239 | + | 0.0876270i | ||||
\(821\) | 11.3893 | + | 14.2817i | 0.397489 | + | 0.498435i | 0.939792 | − | 0.341748i | \(-0.111019\pi\) |
−0.542303 | + | 0.840183i | \(0.682447\pi\) | |||||||
\(822\) | −5.46021 | + | 8.82817i | −0.190447 | + | 0.307918i | ||||
\(823\) | 22.3127 | − | 5.09272i | 0.777771 | − | 0.177521i | 0.184834 | − | 0.982770i | \(-0.440825\pi\) |
0.592937 | + | 0.805249i | \(0.297968\pi\) | |||||||
\(824\) | 10.4359 | − | 31.9905i | 0.363551 | − | 1.11444i | ||||
\(825\) | 4.92569 | + | 1.12426i | 0.171491 | + | 0.0391416i | ||||
\(826\) | 7.79511 | − | 37.3810i | 0.271227 | − | 1.30065i | ||||
\(827\) | −9.69254 | + | 2.21226i | −0.337043 | + | 0.0769278i | −0.387693 | − | 0.921789i | \(-0.626728\pi\) |
0.0506501 | + | 0.998716i | \(0.483871\pi\) | |||||||
\(828\) | −9.79465 | + | 12.6458i | −0.340387 | + | 0.439472i | ||||
\(829\) | 2.28954 | + | 1.82584i | 0.0795189 | + | 0.0634142i | 0.662443 | − | 0.749113i | \(-0.269520\pi\) |
−0.582924 | + | 0.812527i | \(0.698091\pi\) | |||||||
\(830\) | 4.92162 | − | 1.76141i | 0.170832 | − | 0.0611393i | ||||
\(831\) | −20.1945 | + | 9.72515i | −0.700539 | + | 0.337362i | ||||
\(832\) | 2.78345 | + | 10.1788i | 0.0964988 | + | 0.352885i | ||||
\(833\) | 10.5272 | − | 13.8552i | 0.364747 | − | 0.480053i | ||||
\(834\) | 8.50394 | − | 5.42784i | 0.294467 | − | 0.187951i | ||||
\(835\) | 5.32149 | + | 11.0502i | 0.184158 | + | 0.382408i | ||||
\(836\) | 15.9122 | − | 20.5441i | 0.550334 | − | 0.710532i | ||||
\(837\) | −0.354323 | + | 0.444307i | −0.0122472 | + | 0.0153575i | ||||
\(838\) | 9.87280 | + | 27.5860i | 0.341050 | + | 0.952943i | ||||
\(839\) | 11.4679 | + | 50.2442i | 0.395916 | + | 1.73462i | 0.643217 | + | 0.765684i | \(0.277599\pi\) |
−0.247301 | + | 0.968939i | \(0.579544\pi\) | |||||||
\(840\) | −9.73475 | − | 4.29841i | −0.335881 | − | 0.148309i | ||||
\(841\) | −8.12347 | + | 35.5912i | −0.280120 | + | 1.22728i | ||||
\(842\) | −17.2671 | + | 2.06959i | −0.595064 | + | 0.0713229i | ||||
\(843\) | −1.96516 | − | 8.60993i | −0.0676837 | − | 0.296542i | ||||
\(844\) | 0.598813 | − | 0.00849010i | 0.0206120 | − | 0.000292241i | ||||
\(845\) | −12.5188 | + | 9.98344i | −0.430661 | + | 0.343441i | ||||
\(846\) | 4.44869 | − | 7.19274i | 0.152949 | − | 0.247291i | ||||
\(847\) | −18.3264 | − | 11.2177i | −0.629702 | − | 0.385444i | ||||
\(848\) | −5.47486 | − | 21.1976i | −0.188008 | − | 0.727928i | ||||
\(849\) | 2.87482 | + | 12.5954i | 0.0986636 | + | 0.432273i | ||||
\(850\) | −3.38741 | + | 9.90533i | −0.116187 | + | 0.339750i | ||||
\(851\) | 27.4854i | 0.942187i | ||||||||
\(852\) | 27.2057 | + | 12.6296i | 0.932053 | + | 0.432684i | ||||
\(853\) | 18.4218 | − | 14.6909i | 0.630751 | − | 0.503007i | −0.255138 | − | 0.966905i | \(-0.582121\pi\) |
0.885889 | + | 0.463898i | \(0.153550\pi\) | |||||||
\(854\) | −1.40820 | + | 0.349410i | −0.0481875 | + | 0.0119566i | ||||
\(855\) | 8.51395 | + | 6.78965i | 0.291171 | + | 0.232201i | ||||
\(856\) | −2.90525 | + | 4.84962i | −0.0992993 | + | 0.165757i | ||||
\(857\) | 22.4740 | − | 46.6677i | 0.767696 | − | 1.59414i | −0.0361827 | − | 0.999345i | \(-0.511520\pi\) |
0.803879 | − | 0.594793i | \(-0.202766\pi\) | |||||||
\(858\) | 3.14252 | − | 0.376654i | 0.107284 | − | 0.0128587i | ||||
\(859\) | −7.81950 | + | 9.80534i | −0.266798 | + | 0.334554i | −0.897126 | − | 0.441775i | \(-0.854349\pi\) |
0.630328 | + | 0.776329i | \(0.282920\pi\) | |||||||
\(860\) | 4.09227 | + | 8.19830i | 0.139545 | + | 0.279560i | ||||
\(861\) | 2.21241 | + | 0.745155i | 0.0753987 | + | 0.0253948i | ||||
\(862\) | 7.07198 | − | 20.6796i | 0.240873 | − | 0.704351i | ||||
\(863\) | − | 25.1374i | − | 0.855689i | −0.903852 | − | 0.427844i | \(-0.859273\pi\) | ||
0.903852 | − | 0.427844i | \(-0.140727\pi\) | |||||||
\(864\) | −5.40226 | − | 1.67796i | −0.183789 | − | 0.0570854i | ||||
\(865\) | 17.8184 | + | 22.3436i | 0.605845 | + | 0.759706i | ||||
\(866\) | −9.74691 | + | 9.88609i | −0.331214 | + | 0.335943i | ||||
\(867\) | −9.74907 | − | 4.69491i | −0.331096 | − | 0.159447i | ||||
\(868\) | 2.50390 | − | 1.66529i | 0.0849880 | − | 0.0565236i | ||||
\(869\) | −26.1429 | + | 12.5898i | −0.886837 | + | 0.427078i | ||||
\(870\) | −5.26682 | + | 15.4010i | −0.178562 | + | 0.522144i | ||||
\(871\) | 11.2665 | − | 5.42565i | 0.381750 | − | 0.183841i | ||||
\(872\) | 38.8758 | − | 14.5383i | 1.31650 | − | 0.492328i | ||||
\(873\) | 0.805570 | − | 1.67278i | 0.0272644 | − | 0.0566151i | ||||
\(874\) | −81.5485 | + | 29.1855i | −2.75842 | + | 0.987215i | ||||
\(875\) | 15.6700 | − | 25.6002i | 0.529743 | − | 0.865444i | ||||
\(876\) | 0.995331 | − | 4.66471i | 0.0336291 | − | 0.157606i | ||||
\(877\) | 5.83443 | − | 25.5623i | 0.197015 | − | 0.863177i | −0.775687 | − | 0.631118i | \(-0.782596\pi\) |
0.972702 | − | 0.232059i | \(-0.0745464\pi\) | |||||||
\(878\) | −1.60278 | + | 15.1922i | −0.0540912 | + | 0.512713i | ||||
\(879\) | −19.8443 | − | 4.52934i | −0.669332 | − | 0.152771i | ||||
\(880\) | 8.81032 | + | 3.93915i | 0.296996 | + | 0.132789i | ||||
\(881\) | 5.53417i | 0.186451i | 0.995645 | + | 0.0932255i | \(0.0297178\pi\) | ||||
−0.995645 | + | 0.0932255i | \(0.970282\pi\) | |||||||
\(882\) | −6.78299 | + | 7.21048i | −0.228395 | + | 0.242789i | ||||
\(883\) | 40.1968i | 1.35273i | 0.736566 | + | 0.676365i | \(0.236446\pi\) | ||||
−0.736566 | + | 0.676365i | \(0.763554\pi\) | |||||||
\(884\) | 0.0929701 | + | 6.55725i | 0.00312692 | + | 0.220544i | ||||
\(885\) | −14.1485 | − | 3.22931i | −0.475598 | − | 0.108552i | ||||
\(886\) | −3.33600 | − | 0.351947i | −0.112075 | − | 0.0118239i | ||||
\(887\) | 1.23557 | − | 5.41339i | 0.0414864 | − | 0.181764i | −0.949939 | − | 0.312434i | \(-0.898856\pi\) |
0.991426 | + | 0.130670i | \(0.0417128\pi\) | |||||||
\(888\) | −9.10456 | + | 3.40481i | −0.305529 | + | 0.114258i | ||||
\(889\) | 16.8341 | + | 16.4438i | 0.564596 | + | 0.551509i | ||||
\(890\) | 8.02780 | + | 22.4308i | 0.269092 | + | 0.751882i | ||||
\(891\) | −0.736155 | + | 1.52864i | −0.0246621 | + | 0.0512114i | ||||
\(892\) | −18.9217 | − | 4.03742i | −0.633547 | − | 0.135183i | ||||
\(893\) | 41.2607 | − | 19.8701i | 1.38074 | − | 0.664927i | ||||
\(894\) | −23.6702 | − | 8.09470i | −0.791651 | − | 0.270727i | ||||
\(895\) | 2.39452 | − | 1.15314i | 0.0800398 | − | 0.0385451i | ||||
\(896\) | 24.5029 | + | 17.1932i | 0.818585 | + | 0.574385i | ||||
\(897\) | −9.50468 | − | 4.57721i | −0.317352 | − | 0.152829i | ||||
\(898\) | −39.4318 | − | 38.8767i | −1.31586 | − | 1.29733i | ||||
\(899\) | −2.86776 | − | 3.59605i | −0.0956450 | − | 0.119935i | ||||
\(900\) | 2.50773 | − | 5.40195i | 0.0835910 | − | 0.180065i | ||||
\(901\) | − | 13.6057i | − | 0.453271i | ||||||
\(902\) | −2.00329 | − | 0.685081i | −0.0667022 | − | 0.0228107i | ||||
\(903\) | 8.45862 | − | 1.05364i | 0.281485 | − | 0.0350628i | ||||
\(904\) | −17.5786 | − | 10.5308i | −0.584656 | − | 0.350248i | ||||
\(905\) | −20.3937 | + | 25.5729i | −0.677911 | + | 0.850073i | ||||
\(906\) | −2.06139 | − | 17.1987i | −0.0684850 | − | 0.571387i | ||||
\(907\) | 18.8336 | − | 39.1083i | 0.625358 | − | 1.29857i | −0.311961 | − | 0.950095i | \(-0.600986\pi\) |
0.937318 | − | 0.348474i | \(-0.113300\pi\) | |||||||
\(908\) | 24.5600 | + | 49.2025i | 0.815051 | + | 1.63284i | ||||
\(909\) | −4.30059 | − | 3.42961i | −0.142642 | − | 0.113753i | ||||
\(910\) | 1.43274 | − | 6.87059i | 0.0474947 | − | 0.227758i | ||||
\(911\) | 26.4612 | − | 21.1021i | 0.876698 | − | 0.699144i | −0.0779252 | − | 0.996959i | \(-0.524830\pi\) |
0.954623 | + | 0.297816i | \(0.0962581\pi\) | |||||||
\(912\) | −19.7697 | − | 23.3976i | −0.654641 | − | 0.774772i | ||||
\(913\) | 4.41012i | 0.145954i | ||||||||
\(914\) | 36.9824 | + | 12.6472i | 1.22327 | + | 0.418332i | ||||
\(915\) | 0.122702 | + | 0.537595i | 0.00405642 | + | 0.0177723i | ||||
\(916\) | 14.3447 | + | 17.4736i | 0.473961 | + | 0.577344i | ||||
\(917\) | −4.27176 | + | 1.55121i | −0.141066 | + | 0.0512254i | ||||
\(918\) | −2.98984 | − | 1.84921i | −0.0986793 | − | 0.0610330i | ||||
\(919\) | 7.44531 | − | 5.93743i | 0.245598 | − | 0.195858i | −0.492952 | − | 0.870056i | \(-0.664082\pi\) |
0.738550 | + | 0.674199i | \(0.235511\pi\) | |||||||
\(920\) | −17.6895 | − | 26.8670i | −0.583205 | − | 0.885778i | ||||
\(921\) | 1.39543 | + | 6.11379i | 0.0459811 | + | 0.201456i | ||||
\(922\) | 5.20439 | + | 43.4215i | 0.171397 | + | 1.43001i | ||||
\(923\) | −4.40194 | + | 19.2862i | −0.144892 | + | 0.634812i | ||||
\(924\) | 6.18178 | − | 6.51062i | 0.203366 | − | 0.214184i | ||||
\(925\) | −2.27724 | − | 9.97723i | −0.0748751 | − | 0.328049i | ||||
\(926\) | 53.3463 | − | 19.0922i | 1.75307 | − | 0.627409i | ||||
\(927\) | −7.41762 | + | 9.30140i | −0.243627 | + | 0.305498i | ||||
\(928\) | 22.9697 | − | 39.6056i | 0.754018 | − | 1.30012i | ||||
\(929\) | −0.890652 | − | 1.84946i | −0.0292213 | − | 0.0606787i | 0.885847 | − | 0.463977i | \(-0.153578\pi\) |
−0.915069 | + | 0.403298i | \(0.867864\pi\) | |||||||
\(930\) | −0.614885 | − | 0.963356i | −0.0201629 | − | 0.0315897i | ||||
\(931\) | −51.9671 | + | 13.1505i | −1.70315 | + | 0.430989i | ||||
\(932\) | 6.39672 | − | 13.7793i | 0.209531 | − | 0.451356i | ||||
\(933\) | 17.2649 | − | 8.31431i | 0.565226 | − | 0.272198i | ||||
\(934\) | 5.22064 | + | 14.5872i | 0.170824 | + | 0.477308i | ||||
\(935\) | 4.68910 | + | 3.73943i | 0.153350 | + | 0.122292i | ||||
\(936\) | 0.338794 | − | 3.71545i | 0.0110738 | − | 0.121443i | ||||
\(937\) | −25.7896 | + | 5.88630i | −0.842508 | + | 0.192297i | −0.621930 | − | 0.783073i | \(-0.713651\pi\) |
−0.220577 | + | 0.975369i | \(0.570794\pi\) | |||||||
\(938\) | 14.7865 | − | 32.2425i | 0.482797 | − | 1.05276i | ||||
\(939\) | 20.4861 | + | 4.67581i | 0.668538 | + | 0.152589i | ||||
\(940\) | 10.7919 | + | 13.1458i | 0.351992 | + | 0.428770i | ||||
\(941\) | 53.9895 | − | 12.3228i | 1.76001 | − | 0.401711i | 0.784230 | − | 0.620470i | \(-0.213058\pi\) |
0.975779 | + | 0.218760i | \(0.0702010\pi\) | |||||||
\(942\) | 10.3836 | + | 6.42225i | 0.338317 | + | 0.209248i | ||||
\(943\) | 4.39990 | + | 5.51730i | 0.143280 | + | 0.179668i | ||||
\(944\) | 37.2663 | + | 16.6620i | 1.21292 | + | 0.542301i | ||||
\(945\) | 2.69139 | + | 2.62900i | 0.0875509 | + | 0.0855214i | ||||
\(946\) | −7.67551 | + | 0.919967i | −0.249552 | + | 0.0299107i | ||||
\(947\) | 27.0233 | − | 6.16789i | 0.878139 | − | 0.200429i | 0.240392 | − | 0.970676i | \(-0.422724\pi\) |
0.637746 | + | 0.770246i | \(0.279867\pi\) | |||||||
\(948\) | 8.08311 | + | 33.2353i | 0.262527 | + | 1.07943i | ||||
\(949\) | 3.14577 | 0.102116 | ||||||||
\(950\) | 27.1841 | − | 17.3509i | 0.881969 | − | 0.562937i | ||||
\(951\) | −2.88704 | − | 3.62023i | −0.0936187 | − | 0.117394i | ||||
\(952\) | 12.0717 | + | 14.1533i | 0.391247 | + | 0.458712i | ||||
\(953\) | 3.92316 | − | 4.91948i | 0.127084 | − | 0.159358i | −0.714219 | − | 0.699922i | \(-0.753218\pi\) |
0.841302 | + | 0.540565i | \(0.181789\pi\) | |||||||
\(954\) | −0.812106 | + | 7.69770i | −0.0262929 | + | 0.249222i | ||||
\(955\) | 13.3745 | + | 6.44084i | 0.432790 | + | 0.208421i | ||||
\(956\) | 17.2982 | + | 21.0714i | 0.559463 | + | 0.681496i | ||||
\(957\) | −10.7362 | − | 8.56185i | −0.347053 | − | 0.276765i | ||||
\(958\) | −3.19526 | + | 30.2869i | −0.103234 | + | 0.978525i | ||||
\(959\) | −18.2535 | + | 6.62842i | −0.589437 | + | 0.214043i | ||||
\(960\) | 6.70839 | − | 9.18786i | 0.216512 | − | 0.296537i | ||||
\(961\) | −30.6770 | −0.989582 | ||||||||
\(962\) | −3.44918 | − | 5.40393i | −0.111206 | − | 0.174230i | ||||
\(963\) | 1.56267 | − | 1.24619i | 0.0503563 | − | 0.0401578i | ||||
\(964\) | −7.17594 | + | 33.6307i | −0.231121 | + | 1.08317i | ||||
\(965\) | 13.3968 | − | 27.8187i | 0.431258 | − | 0.895517i | ||||
\(966\) | −29.0439 | + | 7.20652i | −0.934471 | + | 0.231866i | ||||
\(967\) | −9.16617 | − | 19.0338i | −0.294764 | − | 0.612084i | 0.700016 | − | 0.714127i | \(-0.253176\pi\) |
−0.994780 | + | 0.102043i | \(0.967462\pi\) | |||||||
\(968\) | 15.8936 | − | 16.5844i | 0.510840 | − | 0.533042i | ||||
\(969\) | −8.25949 | − | 17.1510i | −0.265333 | − | 0.550970i | ||||
\(970\) | 2.65886 | + | 2.62143i | 0.0853709 | + | 0.0841691i | ||||
\(971\) | −3.61045 | − | 1.73870i | −0.115865 | − | 0.0557975i | 0.375054 | − | 0.927003i | \(-0.377624\pi\) |
−0.490918 | + | 0.871206i | \(0.663339\pi\) | |||||||
\(972\) | 1.58118 | + | 1.22469i | 0.0507165 | + | 0.0392818i | ||||
\(973\) | 18.7787 | + | 1.89315i | 0.602018 | + | 0.0606917i | ||||
\(974\) | −21.7063 | + | 22.0162i | −0.695513 | + | 0.705444i | ||||
\(975\) | 3.82944 | + | 0.874046i | 0.122640 | + | 0.0279919i | ||||
\(976\) | −0.0439741 | − | 1.55045i | −0.00140758 | − | 0.0496288i | ||||
\(977\) | 7.45674 | − | 32.6701i | 0.238562 | − | 1.04521i | −0.703743 | − | 0.710455i | \(-0.748489\pi\) |
0.942305 | − | 0.334755i | \(-0.108654\pi\) | |||||||
\(978\) | −11.2511 | − | 6.95881i | −0.359772 | − | 0.222518i | ||||
\(979\) | −20.0996 | −0.642386 | ||||||||
\(980\) | −9.30661 | − | 17.5992i | −0.297289 | − | 0.562187i | ||||
\(981\) | −14.6743 | −0.468515 | ||||||||
\(982\) | 14.6734 | + | 9.07547i | 0.468247 | + | 0.289610i | ||||
\(983\) | −8.82248 | + | 38.6538i | −0.281393 | + | 1.23286i | 0.614615 | + | 0.788827i | \(0.289311\pi\) |
−0.896008 | + | 0.444038i | \(0.853546\pi\) | |||||||
\(984\) | −1.28256 | + | 2.14094i | −0.0408866 | + | 0.0682505i | ||||
\(985\) | 23.2169 | + | 5.29911i | 0.739752 | + | 0.168844i | ||||
\(986\) | 19.9762 | − | 20.2614i | 0.636172 | − | 0.645256i | ||||
\(987\) | 14.8720 | − | 5.40049i | 0.473382 | − | 0.171900i | ||||
\(988\) | 12.3708 | − | 15.9718i | 0.393567 | − | 0.508132i | ||||
\(989\) | 23.2149 | + | 11.1797i | 0.738192 | + | 0.355494i | ||||
\(990\) | −2.42975 | − | 2.39555i | −0.0772226 | − | 0.0761354i | ||||
\(991\) | −4.58830 | − | 9.52770i | −0.145752 | − | 0.302657i | 0.815293 | − | 0.579048i | \(-0.196576\pi\) |
−0.961045 | + | 0.276391i | \(0.910862\pi\) | |||||||
\(992\) | 1.16862 | + | 2.99481i | 0.0371036 | + | 0.0950852i | ||||
\(993\) | −5.83530 | − | 12.1171i | −0.185178 | − | 0.384525i | ||||
\(994\) | 25.2939 | + | 50.0902i | 0.802274 | + | 1.58877i | ||||
\(995\) | 13.7686 | − | 28.5907i | 0.436493 | − | 0.906388i | ||||
\(996\) | 5.08413 | + | 1.08483i | 0.161097 | + | 0.0343740i | ||||
\(997\) | −5.26926 | + | 4.20210i | −0.166879 | + | 0.133082i | −0.703369 | − | 0.710825i | \(-0.748322\pi\) |
0.536489 | + | 0.843907i | \(0.319750\pi\) | |||||||
\(998\) | 16.7692 | + | 26.2728i | 0.530821 | + | 0.831652i | ||||
\(999\) | 3.43667 | 0.108732 |
(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 | 588.2.x.a.223.9 | ✓ | 168 | |
4.3 | odd | 2 | 588.2.x.b.223.1 | yes | 168 | ||
49.20 | odd | 14 | 588.2.x.b.559.1 | yes | 168 | ||
196.167 | even | 14 | inner | 588.2.x.a.559.9 | yes | 168 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
588.2.x.a.223.9 | ✓ | 168 | 1.1 | even | 1 | trivial | |
588.2.x.a.559.9 | yes | 168 | 196.167 | even | 14 | inner | |
588.2.x.b.223.1 | yes | 168 | 4.3 | odd | 2 | ||
588.2.x.b.559.1 | yes | 168 | 49.20 | odd | 14 |