Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [672,2,Mod(11,672)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(672, base_ring=CyclotomicField(24))
chi = DirichletCharacter(H, H._module([12, 15, 12, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("672.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 672 = 2^{5} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 672.ch (of order \(24\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.36594701583\) |
Analytic rank: | \(0\) |
Dimension: | \(992\) |
Relative dimension: | \(124\) over \(\Q(\zeta_{24})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{24}]$ |
Embedding invariants
Embedding label | 11.18 | ||
Character | \(\chi\) | \(=\) | 672.11 |
Dual form | 672.2.ch.a.611.18 |
$q$-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 \(\left(\mathbb{Z}/672\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(421\) | \(449\) | \(577\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{8}\right)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.30144 | − | 0.553394i | −0.920260 | − | 0.391309i | ||||
\(3\) | 1.57447 | + | 0.721834i | 0.909021 | + | 0.416751i | ||||
\(4\) | 1.38751 | + | 1.44042i | 0.693755 | + | 0.720211i | ||||
\(5\) | 0.510185 | + | 3.87524i | 0.228161 | + | 1.73306i | 0.595838 | + | 0.803105i | \(0.296820\pi\) |
−0.367677 | + | 0.929954i | \(0.619847\pi\) | |||||||
\(6\) | −1.64963 | − | 1.81073i | −0.673457 | − | 0.739227i | ||||
\(7\) | −2.48556 | + | 0.906631i | −0.939454 | + | 0.342674i | ||||
\(8\) | −1.00865 | − | 2.64247i | −0.356610 | − | 0.934253i | ||||
\(9\) | 1.95791 | + | 2.27301i | 0.652638 | + | 0.757670i | ||||
\(10\) | 1.48056 | − | 5.32573i | 0.468193 | − | 1.68415i | ||||
\(11\) | −3.07093 | + | 2.35641i | −0.925920 | + | 0.710483i | −0.957322 | − | 0.289024i | \(-0.906669\pi\) |
0.0314022 | + | 0.999507i | \(0.490003\pi\) | |||||||
\(12\) | 1.14485 | + | 3.26945i | 0.330489 | + | 0.943810i | ||||
\(13\) | −1.60469 | − | 3.87405i | −0.445060 | − | 1.07447i | −0.974150 | − | 0.225904i | \(-0.927467\pi\) |
0.529090 | − | 0.848566i | \(-0.322533\pi\) | |||||||
\(14\) | 3.73654 | + | 0.195566i | 0.998633 | + | 0.0522671i | ||||
\(15\) | −1.99401 | + | 6.46971i | −0.514850 | + | 1.67047i | ||||
\(16\) | −0.149629 | + | 3.99720i | −0.0374073 | + | 0.999300i | ||||
\(17\) | 1.14277 | − | 1.97933i | 0.277162 | − | 0.480059i | −0.693516 | − | 0.720441i | \(-0.743939\pi\) |
0.970678 | + | 0.240382i | \(0.0772728\pi\) | |||||||
\(18\) | −1.29024 | − | 4.04169i | −0.304113 | − | 0.952636i | ||||
\(19\) | 5.03373 | + | 3.86251i | 1.15482 | + | 0.886122i | 0.994886 | − | 0.101007i | \(-0.0322063\pi\) |
0.159930 | + | 0.987128i | \(0.448873\pi\) | |||||||
\(20\) | −4.87409 | + | 6.11181i | −1.08988 | + | 1.36664i | ||||
\(21\) | −4.56788 | − | 0.366699i | −0.996793 | − | 0.0800202i | ||||
\(22\) | 5.30066 | − | 1.36730i | 1.13010 | − | 0.291509i | ||||
\(23\) | 0.730240 | + | 0.195667i | 0.152266 | + | 0.0407994i | 0.334147 | − | 0.942521i | \(-0.391552\pi\) |
−0.181881 | + | 0.983321i | \(0.558219\pi\) | |||||||
\(24\) | 0.319339 | − | 4.88856i | 0.0651847 | − | 0.997873i | ||||
\(25\) | −9.92754 | + | 2.66008i | −1.98551 | + | 0.532015i | ||||
\(26\) | −0.0554699 | + | 5.92989i | −0.0108785 | + | 1.16295i | ||||
\(27\) | 1.44194 | + | 4.99207i | 0.277501 | + | 0.960725i | ||||
\(28\) | −4.75467 | − | 2.32230i | −0.898549 | − | 0.438873i | ||||
\(29\) | −3.19690 | − | 7.71800i | −0.593650 | − | 1.43320i | −0.879954 | − | 0.475059i | \(-0.842427\pi\) |
0.286304 | − | 0.958139i | \(-0.407573\pi\) | |||||||
\(30\) | 6.17538 | − | 7.31649i | 1.12747 | − | 1.33580i | ||||
\(31\) | 1.16309 | + | 0.671512i | 0.208898 | + | 0.120607i | 0.600799 | − | 0.799400i | \(-0.294849\pi\) |
−0.391901 | + | 0.920007i | \(0.628183\pi\) | |||||||
\(32\) | 2.40676 | − | 5.11933i | 0.425459 | − | 0.904978i | ||||
\(33\) | −6.53602 | + | 1.49339i | −1.13777 | + | 0.259966i | ||||
\(34\) | −2.58260 | + | 1.94359i | −0.442912 | + | 0.333323i | ||||
\(35\) | −4.78151 | − | 9.16959i | −0.808222 | − | 1.54994i | ||||
\(36\) | −0.557470 | + | 5.97405i | −0.0929117 | + | 0.995674i | ||||
\(37\) | −7.76869 | + | 1.02277i | −1.27717 | + | 0.168142i | −0.738428 | − | 0.674332i | \(-0.764432\pi\) |
−0.538737 | + | 0.842474i | \(0.681098\pi\) | |||||||
\(38\) | −4.41362 | − | 7.81248i | −0.715984 | − | 1.26735i | ||||
\(39\) | 0.269893 | − | 7.25790i | 0.0432174 | − | 1.16219i | ||||
\(40\) | 9.72559 | − | 5.25689i | 1.53775 | − | 0.831187i | ||||
\(41\) | 4.67370 | + | 4.67370i | 0.729909 | + | 0.729909i | 0.970601 | − | 0.240693i | \(-0.0773746\pi\) |
−0.240693 | + | 0.970601i | \(0.577375\pi\) | |||||||
\(42\) | 5.74191 | + | 3.00507i | 0.885996 | + | 0.463693i | ||||
\(43\) | −1.86966 | + | 4.51375i | −0.285120 | + | 0.688340i | −0.999940 | − | 0.0109683i | \(-0.996509\pi\) |
0.714820 | + | 0.699309i | \(0.246509\pi\) | |||||||
\(44\) | −7.65516 | − | 1.15389i | −1.15406 | − | 0.173956i | ||||
\(45\) | −7.80956 | + | 8.74703i | −1.16418 | + | 1.30393i | ||||
\(46\) | −0.842085 | − | 0.658760i | −0.124159 | − | 0.0971289i | ||||
\(47\) | 2.31009 | − | 1.33373i | 0.336962 | − | 0.194545i | −0.321966 | − | 0.946751i | \(-0.604344\pi\) |
0.658928 | + | 0.752206i | \(0.271010\pi\) | |||||||
\(48\) | −3.12090 | + | 6.18547i | −0.450463 | + | 0.892795i | ||||
\(49\) | 5.35604 | − | 4.50698i | 0.765149 | − | 0.643854i | ||||
\(50\) | 14.3922 | + | 2.03190i | 2.03536 | + | 0.287354i | ||||
\(51\) | 3.22800 | − | 2.29151i | 0.452011 | − | 0.320876i | ||||
\(52\) | 3.35375 | − | 7.68672i | 0.465082 | − | 1.06596i | ||||
\(53\) | −3.73886 | − | 4.87258i | −0.513572 | − | 0.669300i | 0.462532 | − | 0.886602i | \(-0.346941\pi\) |
−0.976104 | + | 0.217302i | \(0.930274\pi\) | |||||||
\(54\) | 0.885981 | − | 7.29486i | 0.120567 | − | 0.992705i | ||||
\(55\) | −10.6984 | − | 10.6984i | −1.44257 | − | 1.44257i | ||||
\(56\) | 4.90280 | + | 5.65355i | 0.655164 | + | 0.755487i | ||||
\(57\) | 5.13736 | + | 9.71493i | 0.680460 | + | 1.28677i | ||||
\(58\) | −0.110509 | + | 11.8137i | −0.0145105 | + | 1.55121i | ||||
\(59\) | 1.71184 | + | 2.23092i | 0.222863 | + | 0.290441i | 0.891381 | − | 0.453255i | \(-0.149737\pi\) |
−0.668517 | + | 0.743696i | \(0.733071\pi\) | |||||||
\(60\) | −12.0858 | + | 6.10459i | −1.56027 | + | 0.788099i | ||||
\(61\) | −2.10631 | − | 1.61623i | −0.269686 | − | 0.206937i | 0.465061 | − | 0.885279i | \(-0.346032\pi\) |
−0.734747 | + | 0.678342i | \(0.762699\pi\) | |||||||
\(62\) | −1.14209 | − | 1.51758i | −0.145045 | − | 0.192733i | ||||
\(63\) | −6.92730 | − | 3.87461i | −0.872757 | − | 0.488154i | ||||
\(64\) | −5.96527 | + | 5.33063i | −0.745658 | + | 0.666329i | ||||
\(65\) | 14.1942 | − | 8.19502i | 1.76057 | − | 1.01647i | ||||
\(66\) | 9.33269 | + | 1.67343i | 1.14878 | + | 0.205985i | ||||
\(67\) | −2.73946 | − | 0.360656i | −0.334678 | − | 0.0440612i | −0.0386853 | − | 0.999251i | \(-0.512317\pi\) |
−0.295992 | + | 0.955190i | \(0.595650\pi\) | |||||||
\(68\) | 4.43668 | − | 1.10028i | 0.538026 | − | 0.133428i | ||||
\(69\) | 1.00850 | + | 0.835184i | 0.121409 | + | 0.100544i | ||||
\(70\) | 1.14846 | + | 14.5798i | 0.137268 | + | 1.74261i | ||||
\(71\) | 9.56471 | + | 9.56471i | 1.13512 | + | 1.13512i | 0.989313 | + | 0.145810i | \(0.0465788\pi\) |
0.145810 | + | 0.989313i | \(0.453421\pi\) | |||||||
\(72\) | 4.03152 | − | 7.46638i | 0.475119 | − | 0.879922i | ||||
\(73\) | 2.45002 | + | 9.14360i | 0.286753 | + | 1.07018i | 0.947549 | + | 0.319611i | \(0.103552\pi\) |
−0.660796 | + | 0.750566i | \(0.729781\pi\) | |||||||
\(74\) | 10.6765 | + | 2.96807i | 1.24112 | + | 0.345031i | ||||
\(75\) | −17.5507 | − | 2.97782i | −2.02659 | − | 0.343849i | ||||
\(76\) | 1.42070 | + | 12.6100i | 0.162965 | + | 1.44646i | ||||
\(77\) | 5.49659 | − | 8.64119i | 0.626395 | − | 0.984756i | ||||
\(78\) | −4.36773 | + | 9.29639i | −0.494548 | + | 1.05261i | ||||
\(79\) | 7.67535 | + | 13.2941i | 0.863545 | + | 1.49570i | 0.868485 | + | 0.495715i | \(0.165094\pi\) |
−0.00494053 | + | 0.999988i | \(0.501573\pi\) | |||||||
\(80\) | −15.5664 | + | 1.45946i | −1.74038 | + | 0.163173i | ||||
\(81\) | −1.33316 | + | 8.90071i | −0.148129 | + | 0.988968i | ||||
\(82\) | −3.49616 | − | 8.66895i | −0.386086 | − | 0.957325i | ||||
\(83\) | 0.372002 | + | 0.898092i | 0.0408325 | + | 0.0985784i | 0.942980 | − | 0.332849i | \(-0.108010\pi\) |
−0.902148 | + | 0.431428i | \(0.858010\pi\) | |||||||
\(84\) | −5.80978 | − | 7.08847i | −0.633899 | − | 0.773416i | ||||
\(85\) | 8.25341 | + | 3.41867i | 0.895208 | + | 0.370807i | ||||
\(86\) | 4.93113 | − | 4.83973i | 0.531738 | − | 0.521882i | ||||
\(87\) | 0.537688 | − | 14.4594i | 0.0576462 | − | 1.55021i | ||||
\(88\) | 9.32421 | + | 5.73805i | 0.993964 | + | 0.611678i | ||||
\(89\) | −1.62571 | − | 0.435608i | −0.172325 | − | 0.0461744i | 0.171625 | − | 0.985162i | \(-0.445098\pi\) |
−0.343950 | + | 0.938988i | \(0.611765\pi\) | |||||||
\(90\) | 15.0043 | − | 7.06200i | 1.58159 | − | 0.744400i | ||||
\(91\) | 7.50089 | + | 8.17435i | 0.786306 | + | 0.856904i | ||||
\(92\) | 0.731372 | + | 1.32334i | 0.0762508 | + | 0.137968i | ||||
\(93\) | 1.34653 | + | 1.89683i | 0.139629 | + | 0.196693i | ||||
\(94\) | −3.74453 | + | 0.457387i | −0.386219 | + | 0.0471758i | ||||
\(95\) | −12.4000 | + | 21.4775i | −1.27222 | + | 2.20354i | ||||
\(96\) | 7.48467 | − | 6.32295i | 0.763901 | − | 0.645333i | ||||
\(97\) | −8.03849 | −0.816185 | −0.408093 | − | 0.912941i | \(-0.633806\pi\) | ||||
−0.408093 | + | 0.912941i | \(0.633806\pi\) | |||||||
\(98\) | −9.46472 | + | 2.90158i | −0.956081 | + | 0.293103i | ||||
\(99\) | −11.3687 | − | 2.36662i | −1.14260 | − | 0.237854i | ||||
\(100\) | −17.6062 | − | 10.6090i | −1.76062 | − | 1.06090i | ||||
\(101\) | −5.19679 | + | 3.98764i | −0.517100 | + | 0.396785i | −0.834077 | − | 0.551648i | \(-0.813999\pi\) |
0.316976 | + | 0.948433i | \(0.397332\pi\) | |||||||
\(102\) | −5.46917 | + | 1.19592i | −0.541529 | + | 0.118413i | ||||
\(103\) | 8.47617 | + | 2.27118i | 0.835182 | + | 0.223786i | 0.650973 | − | 0.759101i | \(-0.274361\pi\) |
0.184209 | + | 0.982887i | \(0.441028\pi\) | |||||||
\(104\) | −8.61850 | + | 8.14788i | −0.845114 | + | 0.798965i | ||||
\(105\) | −0.909419 | − | 17.8887i | −0.0887502 | − | 1.74576i | ||||
\(106\) | 2.16946 | + | 8.41045i | 0.210717 | + | 0.816895i | ||||
\(107\) | 0.726921 | + | 5.52151i | 0.0702741 | + | 0.533785i | 0.989983 | + | 0.141185i | \(0.0450911\pi\) |
−0.919709 | + | 0.392600i | \(0.871576\pi\) | |||||||
\(108\) | −5.18999 | + | 9.00356i | −0.499407 | + | 0.866368i | ||||
\(109\) | 9.88519 | + | 1.30141i | 0.946829 | + | 0.124652i | 0.588099 | − | 0.808789i | \(-0.299877\pi\) |
0.358730 | + | 0.933441i | \(0.383210\pi\) | |||||||
\(110\) | 8.00291 | + | 19.8437i | 0.763048 | + | 1.89203i | ||||
\(111\) | −12.9698 | − | 3.99739i | −1.23104 | − | 0.379415i | ||||
\(112\) | −3.25207 | − | 10.0709i | −0.307292 | − | 0.951615i | ||||
\(113\) | 10.4838 | 0.986232 | 0.493116 | − | 0.869964i | \(-0.335858\pi\) | ||||
0.493116 | + | 0.869964i | \(0.335858\pi\) | |||||||
\(114\) | −1.30980 | − | 15.4864i | −0.122674 | − | 1.45044i | ||||
\(115\) | −0.385700 | + | 2.92968i | −0.0359667 | + | 0.273194i | ||||
\(116\) | 6.68145 | − | 15.3137i | 0.620357 | − | 1.42184i | ||||
\(117\) | 5.66393 | − | 11.2325i | 0.523631 | − | 1.03845i | ||||
\(118\) | −0.993292 | − | 3.85074i | −0.0914400 | − | 0.354489i | ||||
\(119\) | −1.04590 | + | 5.95583i | −0.0958772 | + | 0.545970i | ||||
\(120\) | 19.1072 | − | 1.25656i | 1.74425 | − | 0.114707i | ||||
\(121\) | 1.03094 | − | 3.84753i | 0.0937220 | − | 0.349775i | ||||
\(122\) | 1.84683 | + | 3.26905i | 0.167204 | + | 0.295966i | ||||
\(123\) | 3.98497 | + | 10.7322i | 0.359312 | + | 0.967692i | ||||
\(124\) | 0.646543 | + | 2.60707i | 0.0580612 | + | 0.234122i | ||||
\(125\) | −7.89437 | − | 19.0587i | −0.706094 | − | 1.70466i | ||||
\(126\) | 6.87130 | + | 8.87610i | 0.612144 | + | 0.790746i | ||||
\(127\) | − | 3.54593i | − | 0.314651i | −0.987547 | − | 0.157325i | \(-0.949713\pi\) | ||
0.987547 | − | 0.157325i | \(-0.0502871\pi\) | |||||||
\(128\) | 10.7134 | − | 3.63637i | 0.946939 | − | 0.321413i | ||||
\(129\) | −6.20189 | + | 5.75718i | −0.546046 | + | 0.506892i | ||||
\(130\) | −23.0080 | + | 2.81038i | −2.01794 | + | 0.246486i | ||||
\(131\) | 5.28989 | + | 4.05908i | 0.462180 | + | 0.354643i | 0.813454 | − | 0.581630i | \(-0.197585\pi\) |
−0.351274 | + | 0.936273i | \(0.614251\pi\) | |||||||
\(132\) | −11.2199 | − | 7.34253i | −0.976568 | − | 0.639085i | ||||
\(133\) | −16.0135 | − | 5.03679i | −1.38855 | − | 0.436745i | ||||
\(134\) | 3.36566 | + | 1.98537i | 0.290749 | + | 0.171510i | ||||
\(135\) | −18.6098 | + | 8.13474i | −1.60168 | + | 0.700127i | ||||
\(136\) | −6.38297 | − | 1.02328i | −0.547335 | − | 0.0877457i | ||||
\(137\) | 10.8704 | − | 2.91273i | 0.928725 | − | 0.248851i | 0.237414 | − | 0.971409i | \(-0.423700\pi\) |
0.691311 | + | 0.722558i | \(0.257034\pi\) | |||||||
\(138\) | −0.850323 | − | 1.64504i | −0.0723843 | − | 0.140035i | ||||
\(139\) | 8.54756 | − | 20.6356i | 0.724995 | − | 1.75029i | 0.0664013 | − | 0.997793i | \(-0.478848\pi\) |
0.658593 | − | 0.752499i | \(-0.271152\pi\) | |||||||
\(140\) | 6.57369 | − | 19.6103i | 0.555578 | − | 1.65737i | ||||
\(141\) | 4.59991 | − | 0.432420i | 0.387382 | − | 0.0364163i | ||||
\(142\) | −7.15488 | − | 17.7410i | −0.600424 | − | 1.48879i | ||||
\(143\) | 14.0567 | + | 8.11565i | 1.17548 | + | 0.678665i | ||||
\(144\) | −9.37864 | + | 7.48606i | −0.781553 | + | 0.623838i | ||||
\(145\) | 28.2781 | − | 16.3264i | 2.34837 | − | 1.35583i | ||||
\(146\) | 1.87145 | − | 13.2557i | 0.154882 | − | 1.09705i | ||||
\(147\) | 11.6862 | − | 3.22993i | 0.963863 | − | 0.266400i | ||||
\(148\) | −12.2524 | − | 9.77109i | −1.00714 | − | 0.803179i | ||||
\(149\) | −6.91121 | + | 0.909878i | −0.566188 | + | 0.0745401i | −0.408186 | − | 0.912899i | \(-0.633839\pi\) |
−0.158002 | + | 0.987439i | \(0.550505\pi\) | |||||||
\(150\) | 21.1934 | + | 13.5879i | 1.73043 | + | 1.10945i | ||||
\(151\) | 6.47354 | − | 1.73458i | 0.526810 | − | 0.141158i | 0.0143949 | − | 0.999896i | \(-0.495418\pi\) |
0.512415 | + | 0.858738i | \(0.328751\pi\) | |||||||
\(152\) | 5.12932 | − | 17.1974i | 0.416043 | − | 1.39489i | ||||
\(153\) | 6.73649 | − | 1.27784i | 0.544613 | − | 0.103307i | ||||
\(154\) | −11.9355 | + | 8.20425i | −0.961789 | + | 0.661117i | ||||
\(155\) | −2.00887 | + | 4.84985i | −0.161357 | + | 0.389549i | ||||
\(156\) | 10.8289 | − | 9.68165i | 0.867007 | − | 0.775153i | ||||
\(157\) | −1.66438 | + | 12.6422i | −0.132832 | + | 1.00896i | 0.787085 | + | 0.616845i | \(0.211589\pi\) |
−0.919917 | + | 0.392114i | \(0.871744\pi\) | |||||||
\(158\) | −2.63216 | − | 21.5490i | −0.209404 | − | 1.71435i | ||||
\(159\) | −2.36953 | − | 10.3706i | −0.187916 | − | 0.822439i | ||||
\(160\) | 21.0665 | + | 6.71496i | 1.66545 | + | 0.530865i | ||||
\(161\) | −1.99245 | + | 0.175715i | −0.157027 | + | 0.0138483i | ||||
\(162\) | 6.66063 | − | 10.8460i | 0.523308 | − | 0.852143i | ||||
\(163\) | 1.71648 | − | 2.23696i | 0.134445 | − | 0.175212i | −0.721279 | − | 0.692645i | \(-0.756445\pi\) |
0.855724 | + | 0.517432i | \(0.173112\pi\) | |||||||
\(164\) | −0.247291 | + | 13.2169i | −0.0193102 | + | 1.03207i | ||||
\(165\) | −9.12182 | − | 24.5667i | −0.710133 | − | 1.91252i | ||||
\(166\) | 0.0128592 | − | 1.37468i | 0.000998064 | − | 0.106696i | ||||
\(167\) | −5.24522 | − | 5.24522i | −0.405887 | − | 0.405887i | 0.474414 | − | 0.880302i | \(-0.342660\pi\) |
−0.880302 | + | 0.474414i | \(0.842660\pi\) | |||||||
\(168\) | 3.63839 | + | 12.4403i | 0.280708 | + | 0.959793i | ||||
\(169\) | −3.24089 | + | 3.24089i | −0.249300 | + | 0.249300i | ||||
\(170\) | −8.84947 | − | 9.01660i | −0.678723 | − | 0.691541i | ||||
\(171\) | 1.07606 | + | 19.0042i | 0.0822884 | + | 1.45329i | ||||
\(172\) | −9.09587 | + | 3.56978i | −0.693554 | + | 0.272193i | ||||
\(173\) | −0.198076 | − | 0.151989i | −0.0150594 | − | 0.0115555i | 0.601204 | − | 0.799095i | \(-0.294688\pi\) |
−0.616264 | + | 0.787540i | \(0.711354\pi\) | |||||||
\(174\) | −8.70151 | + | 18.5205i | −0.659660 | + | 1.40404i | ||||
\(175\) | 22.2638 | − | 15.6124i | 1.68299 | − | 1.18019i | ||||
\(176\) | −8.95953 | − | 12.6277i | −0.675350 | − | 0.951849i | ||||
\(177\) | 1.08490 | + | 4.74818i | 0.0815458 | + | 0.356895i | ||||
\(178\) | 1.87471 | + | 1.46658i | 0.140515 | + | 0.109925i | ||||
\(179\) | 0.770575 | + | 0.101448i | 0.0575955 | + | 0.00758259i | 0.159269 | − | 0.987235i | \(-0.449086\pi\) |
−0.101673 | + | 0.994818i | \(0.532420\pi\) | |||||||
\(180\) | −23.4353 | + | 0.887538i | −1.74676 | + | 0.0661532i | ||||
\(181\) | −3.33735 | − | 1.38238i | −0.248063 | − | 0.102751i | 0.255188 | − | 0.966892i | \(-0.417863\pi\) |
−0.503251 | + | 0.864140i | \(0.667863\pi\) | |||||||
\(182\) | −5.23835 | − | 14.7894i | −0.388292 | − | 1.09626i | ||||
\(183\) | −2.14968 | − | 4.06511i | −0.158909 | − | 0.300502i | ||||
\(184\) | −0.219509 | − | 2.12699i | −0.0161824 | − | 0.156804i | ||||
\(185\) | −7.92694 | − | 29.5837i | −0.582800 | − | 2.17504i | ||||
\(186\) | −0.702742 | − | 3.21379i | −0.0515276 | − | 0.235646i | ||||
\(187\) | 1.15475 | + | 8.77122i | 0.0844439 | + | 0.641415i | ||||
\(188\) | 5.12642 | + | 1.47694i | 0.373882 | + | 0.107717i | ||||
\(189\) | −8.11000 | − | 11.1008i | −0.589916 | − | 0.807465i | ||||
\(190\) | 28.0234 | − | 21.0896i | 2.03303 | − | 1.53000i | ||||
\(191\) | −1.84768 | − | 3.20028i | −0.133693 | − | 0.231564i | 0.791404 | − | 0.611293i | \(-0.209350\pi\) |
−0.925098 | + | 0.379729i | \(0.876017\pi\) | |||||||
\(192\) | −13.2400 | + | 4.08699i | −0.955512 | + | 0.294953i | ||||
\(193\) | 8.58781 | − | 14.8745i | 0.618164 | − | 1.07069i | −0.371657 | − | 0.928370i | \(-0.621210\pi\) |
0.989821 | − | 0.142321i | \(-0.0454565\pi\) | |||||||
\(194\) | 10.4616 | + | 4.44845i | 0.751102 | + | 0.319380i | ||||
\(195\) | 28.2638 | − | 2.65697i | 2.02401 | − | 0.190270i | ||||
\(196\) | 13.9235 | + | 1.46148i | 0.994536 | + | 0.104391i | ||||
\(197\) | 22.9029 | + | 9.48670i | 1.63176 | + | 0.675899i | 0.995428 | − | 0.0955123i | \(-0.0304489\pi\) |
0.636337 | + | 0.771411i | \(0.280449\pi\) | |||||||
\(198\) | 13.4861 | + | 9.37141i | 0.958416 | + | 0.665997i | ||||
\(199\) | −1.09521 | − | 4.08736i | −0.0776370 | − | 0.289745i | 0.916181 | − | 0.400764i | \(-0.131255\pi\) |
−0.993818 | + | 0.111019i | \(0.964589\pi\) | |||||||
\(200\) | 17.0425 | + | 23.5501i | 1.20509 | + | 1.66525i | ||||
\(201\) | −4.05286 | − | 2.54527i | −0.285866 | − | 0.179530i | ||||
\(202\) | 8.97007 | − | 2.31381i | 0.631132 | − | 0.162799i | ||||
\(203\) | 14.9435 | + | 16.2852i | 1.04883 | + | 1.14299i | ||||
\(204\) | 7.77963 | + | 1.47019i | 0.544683 | + | 0.102934i | ||||
\(205\) | −15.7272 | + | 20.4961i | −1.09844 | + | 1.43151i | ||||
\(206\) | −9.77440 | − | 7.64648i | −0.681015 | − | 0.532755i | ||||
\(207\) | 0.984992 | + | 2.04294i | 0.0684617 | + | 0.141994i | ||||
\(208\) | 15.7255 | − | 5.83458i | 1.09037 | − | 0.404555i | ||||
\(209\) | −24.5599 | −1.69884 | ||||||||
\(210\) | −8.71594 | + | 23.7844i | −0.601457 | + | 1.64128i | ||||
\(211\) | −10.3239 | + | 4.27630i | −0.710727 | + | 0.294393i | −0.708605 | − | 0.705605i | \(-0.750675\pi\) |
−0.00212147 | + | 0.999998i | \(0.500675\pi\) | |||||||
\(212\) | 1.83086 | − | 12.1463i | 0.125744 | − | 0.834211i | ||||
\(213\) | 8.15522 | + | 21.9635i | 0.558787 | + | 1.50491i | ||||
\(214\) | 2.10953 | − | 7.58821i | 0.144204 | − | 0.518720i | ||||
\(215\) | −18.4457 | − | 4.94251i | −1.25799 | − | 0.337077i | ||||
\(216\) | 11.7370 | − | 8.84551i | 0.798601 | − | 0.601861i | ||||
\(217\) | −3.49975 | − | 0.614588i | −0.237579 | − | 0.0417210i | ||||
\(218\) | −12.1448 | − | 7.16411i | −0.822551 | − | 0.485215i | ||||
\(219\) | −2.74267 | + | 16.1648i | −0.185333 | + | 1.09232i | ||||
\(220\) | 0.566064 | − | 30.2543i | 0.0381640 | − | 2.03974i | ||||
\(221\) | −9.50183 | − | 1.25094i | −0.639162 | − | 0.0841473i | ||||
\(222\) | 14.6674 | + | 12.3798i | 0.984411 | + | 0.830878i | ||||
\(223\) | 13.4947i | 0.903669i | 0.892102 | + | 0.451835i | \(0.149230\pi\) | ||||
−0.892102 | + | 0.451835i | \(0.850770\pi\) | |||||||
\(224\) | −1.34081 | + | 14.9064i | −0.0895867 | + | 0.995979i | ||||
\(225\) | −25.4836 | − | 17.3572i | −1.69891 | − | 1.15715i | ||||
\(226\) | −13.6441 | − | 5.80166i | −0.907589 | − | 0.385921i | ||||
\(227\) | 0.996897 | − | 7.57219i | 0.0661664 | − | 0.502584i | −0.925987 | − | 0.377556i | \(-0.876765\pi\) |
0.992153 | − | 0.125028i | \(-0.0399020\pi\) | |||||||
\(228\) | −6.86545 | + | 20.8795i | −0.454676 | + | 1.38278i | ||||
\(229\) | −10.9858 | + | 1.44631i | −0.725963 | + | 0.0955748i | −0.484445 | − | 0.874822i | \(-0.660979\pi\) |
−0.241518 | + | 0.970396i | \(0.577645\pi\) | |||||||
\(230\) | 2.12323 | − | 3.59937i | 0.140002 | − | 0.237335i | ||||
\(231\) | 14.8917 | − | 9.63768i | 0.979804 | − | 0.634113i | ||||
\(232\) | −17.1700 | + | 16.2324i | −1.12727 | + | 1.06571i | ||||
\(233\) | 5.14564 | − | 19.2038i | 0.337102 | − | 1.25808i | −0.564471 | − | 0.825453i | \(-0.690920\pi\) |
0.901573 | − | 0.432628i | \(-0.142414\pi\) | |||||||
\(234\) | −13.5873 | + | 11.4841i | −0.888230 | + | 0.750740i | ||||
\(235\) | 6.34710 | + | 8.27171i | 0.414039 | + | 0.539587i | ||||
\(236\) | −0.838262 | + | 5.56120i | −0.0545662 | + | 0.362003i | ||||
\(237\) | 2.48849 | + | 26.4715i | 0.161644 | + | 1.71951i | ||||
\(238\) | 4.65709 | − | 7.17238i | 0.301875 | − | 0.464916i | ||||
\(239\) | 25.6904i | 1.66178i | 0.556440 | + | 0.830888i | \(0.312167\pi\) | ||||
−0.556440 | + | 0.830888i | \(0.687833\pi\) | |||||||
\(240\) | −25.5624 | − | 8.93850i | −1.65004 | − | 0.576978i | ||||
\(241\) | −8.54263 | − | 4.93209i | −0.550279 | − | 0.317704i | 0.198955 | − | 0.980009i | \(-0.436245\pi\) |
−0.749235 | + | 0.662305i | \(0.769578\pi\) | |||||||
\(242\) | −3.47091 | + | 4.43682i | −0.223119 | + | 0.285210i | ||||
\(243\) | −8.52385 | + | 13.0516i | −0.546805 | + | 0.837260i | ||||
\(244\) | −0.594477 | − | 5.27651i | −0.0380575 | − | 0.337794i | ||||
\(245\) | 20.1982 | + | 18.4565i | 1.29041 | + | 1.17914i | ||||
\(246\) | 0.752942 | − | 16.1726i | 0.0480058 | − | 1.03113i | ||||
\(247\) | 6.88604 | − | 25.6991i | 0.438148 | − | 1.63519i | ||||
\(248\) | 0.601299 | − | 3.75075i | 0.0381825 | − | 0.238173i | ||||
\(249\) | −0.0625671 | + | 1.68254i | −0.00396503 | + | 0.106627i | ||||
\(250\) | −0.272888 | + | 29.1725i | −0.0172590 | + | 1.84503i | ||||
\(251\) | −6.49530 | + | 15.6810i | −0.409980 | + | 0.989779i | 0.575163 | + | 0.818039i | \(0.304939\pi\) |
−0.985142 | + | 0.171740i | \(0.945061\pi\) | |||||||
\(252\) | −4.03063 | − | 15.3543i | −0.253906 | − | 0.967229i | ||||
\(253\) | −2.70359 | + | 1.11986i | −0.169973 | + | 0.0704051i | ||||
\(254\) | −1.96230 | + | 4.61483i | −0.123126 | + | 0.289560i | ||||
\(255\) | 10.5270 | + | 11.3402i | 0.659228 | + | 0.710150i | ||||
\(256\) | −15.9552 | − | 1.19620i | −0.997201 | − | 0.0747623i | ||||
\(257\) | 9.93279 | − | 5.73470i | 0.619590 | − | 0.357721i | −0.157119 | − | 0.987580i | \(-0.550221\pi\) |
0.776709 | + | 0.629859i | \(0.216887\pi\) | |||||||
\(258\) | 11.2574 | − | 4.06056i | 0.700855 | − | 0.252799i | ||||
\(259\) | 18.3823 | − | 9.58549i | 1.14222 | − | 0.595614i | ||||
\(260\) | 31.4989 | + | 9.07495i | 1.95348 | + | 0.562804i | ||||
\(261\) | 11.2839 | − | 22.3778i | 0.698453 | − | 1.38515i | ||||
\(262\) | −4.63823 | − | 8.21005i | −0.286551 | − | 0.507219i | ||||
\(263\) | −25.9110 | + | 6.94283i | −1.59774 | + | 0.428113i | −0.944359 | − | 0.328915i | \(-0.893317\pi\) |
−0.653382 | + | 0.757029i | \(0.726650\pi\) | |||||||
\(264\) | 10.5388 | + | 15.7649i | 0.648616 | + | 0.970263i | ||||
\(265\) | 16.9749 | − | 16.9749i | 1.04276 | − | 1.04276i | ||||
\(266\) | 18.0534 | + | 15.4169i | 1.10692 | + | 0.945269i | ||||
\(267\) | −2.24520 | − | 1.85935i | −0.137404 | − | 0.113790i | ||||
\(268\) | −3.28153 | − | 4.44639i | −0.200451 | − | 0.271606i | ||||
\(269\) | 0.867021 | − | 6.58567i | 0.0528632 | − | 0.401536i | −0.944473 | − | 0.328590i | \(-0.893427\pi\) |
0.997336 | − | 0.0729459i | \(-0.0232400\pi\) | |||||||
\(270\) | 28.7213 | − | 0.288342i | 1.74792 | − | 0.0175479i | ||||
\(271\) | −13.7020 | − | 23.7325i | −0.832337 | − | 1.44165i | −0.896181 | − | 0.443690i | \(-0.853669\pi\) |
0.0638438 | − | 0.997960i | \(-0.479664\pi\) | |||||||
\(272\) | 7.74080 | + | 4.86404i | 0.469355 | + | 0.294926i | ||||
\(273\) | 5.90940 | + | 18.2847i | 0.357653 | + | 1.10664i | ||||
\(274\) | −15.7592 | − | 2.22489i | −0.952045 | − | 0.134410i | ||||
\(275\) | 24.2185 | − | 31.5622i | 1.46043 | − | 1.90327i | ||||
\(276\) | 0.196290 | + | 2.61149i | 0.0118153 | + | 0.157193i | ||||
\(277\) | 23.0605 | − | 17.6950i | 1.38557 | − | 1.06319i | 0.396142 | − | 0.918189i | \(-0.370349\pi\) |
0.989432 | − | 0.144999i | \(-0.0463179\pi\) | |||||||
\(278\) | −22.5438 | + | 22.1259i | −1.35209 | + | 1.32703i | ||||
\(279\) | 0.750880 | + | 3.95848i | 0.0449540 | + | 0.236988i | ||||
\(280\) | −19.4075 | + | 21.8838i | −1.15982 | + | 1.30781i | ||||
\(281\) | 7.59871 | − | 7.59871i | 0.453301 | − | 0.453301i | −0.443148 | − | 0.896449i | \(-0.646138\pi\) |
0.896449 | + | 0.443148i | \(0.146138\pi\) | |||||||
\(282\) | −6.22582 | − | 1.98279i | −0.370742 | − | 0.118073i | ||||
\(283\) | −1.40641 | + | 1.07918i | −0.0836024 | + | 0.0641504i | −0.649717 | − | 0.760176i | \(-0.725113\pi\) |
0.566115 | + | 0.824327i | \(0.308446\pi\) | |||||||
\(284\) | −0.506081 | + | 27.0484i | −0.0300304 | + | 1.60502i | ||||
\(285\) | −35.0266 | + | 24.8649i | −2.07480 | + | 1.47287i | ||||
\(286\) | −13.8029 | − | 18.3410i | −0.816181 | − | 1.08452i | ||||
\(287\) | −15.8541 | − | 7.37945i | −0.935837 | − | 0.435595i | ||||
\(288\) | 16.3485 | − | 4.55260i | 0.963345 | − | 0.268265i | ||||
\(289\) | 5.88816 | + | 10.1986i | 0.346362 | + | 0.599917i | ||||
\(290\) | −45.8372 | + | 5.59892i | −2.69165 | + | 0.328780i | ||||
\(291\) | −12.6564 | − | 5.80245i | −0.741929 | − | 0.340146i | ||||
\(292\) | −9.77121 | + | 16.2159i | −0.571817 | + | 0.948964i | ||||
\(293\) | 12.5809 | + | 5.21118i | 0.734984 | + | 0.304440i | 0.718598 | − | 0.695426i | \(-0.244784\pi\) |
0.0163854 | + | 0.999866i | \(0.494784\pi\) | |||||||
\(294\) | −16.9964 | − | 2.26351i | −0.991248 | − | 0.132010i | ||||
\(295\) | −7.77198 | + | 7.77198i | −0.452502 | + | 0.452502i | ||||
\(296\) | 10.5385 | + | 19.4969i | 0.612537 | + | 1.13323i | ||||
\(297\) | −16.1914 | − | 11.9325i | −0.939523 | − | 0.692394i | ||||
\(298\) | 9.49807 | + | 2.64047i | 0.550209 | + | 0.152958i | ||||
\(299\) | −0.413780 | − | 3.14297i | −0.0239295 | − | 0.181763i | ||||
\(300\) | −20.0625 | − | 29.4122i | −1.15831 | − | 1.69812i | ||||
\(301\) | 0.554841 | − | 12.9143i | 0.0319805 | − | 0.744367i | ||||
\(302\) | −9.38486 | − | 1.32496i | −0.540038 | − | 0.0762429i | ||||
\(303\) | −11.0606 | + | 2.52720i | −0.635415 | + | 0.145184i | ||||
\(304\) | −16.1924 | + | 19.5429i | −0.928700 | + | 1.12086i | ||||
\(305\) | 5.18866 | − | 8.98703i | 0.297102 | − | 0.514596i | ||||
\(306\) | −9.47430 | − | 2.06490i | −0.541610 | − | 0.118042i | ||||
\(307\) | −18.4989 | + | 7.66250i | −1.05579 | + | 0.437322i | −0.841955 | − | 0.539548i | \(-0.818595\pi\) |
−0.213834 | + | 0.976870i | \(0.568595\pi\) | |||||||
\(308\) | 20.0735 | − | 4.07234i | 1.14380 | − | 0.232043i | ||||
\(309\) | 11.7061 | + | 9.69430i | 0.665935 | + | 0.551489i | ||||
\(310\) | 5.29831 | − | 5.20011i | 0.300924 | − | 0.295346i | ||||
\(311\) | −0.327332 | − | 1.22162i | −0.0185613 | − | 0.0692717i | 0.956024 | − | 0.293288i | \(-0.0947496\pi\) |
−0.974585 | + | 0.224017i | \(0.928083\pi\) | |||||||
\(312\) | −19.4510 | + | 6.60747i | −1.10120 | + | 0.374074i | ||||
\(313\) | 4.11232 | − | 15.3474i | 0.232442 | − | 0.867485i | −0.746843 | − | 0.665000i | \(-0.768432\pi\) |
0.979285 | − | 0.202485i | \(-0.0649018\pi\) | |||||||
\(314\) | 9.16222 | − | 15.5321i | 0.517054 | − | 0.876525i | ||||
\(315\) | 11.4808 | − | 28.8217i | 0.646870 | − | 1.62392i | ||||
\(316\) | −8.49948 | + | 29.5014i | −0.478133 | + | 1.65959i | ||||
\(317\) | −18.1788 | + | 23.6910i | −1.02102 | + | 1.33062i | −0.0783386 | + | 0.996927i | \(0.524962\pi\) |
−0.942682 | + | 0.333693i | \(0.891705\pi\) | |||||||
\(318\) | −2.65519 | + | 14.8080i | −0.148896 | + | 0.830391i | ||||
\(319\) | 28.0042 | + | 16.1682i | 1.56793 | + | 0.905248i | ||||
\(320\) | −23.7008 | − | 20.3972i | −1.32492 | − | 1.14024i | ||||
\(321\) | −2.84110 | + | 9.21818i | −0.158575 | + | 0.514508i | ||||
\(322\) | 2.69031 | + | 0.873929i | 0.149925 | + | 0.0487021i | ||||
\(323\) | 13.3976 | − | 5.54946i | 0.745462 | − | 0.308780i | ||||
\(324\) | −14.6705 | + | 10.4295i | −0.815031 | + | 0.579418i | ||||
\(325\) | 26.2359 | + | 34.1912i | 1.45530 | + | 1.89659i | ||||
\(326\) | −3.47182 | + | 1.96139i | −0.192286 | + | 0.108631i | ||||
\(327\) | 14.6245 | + | 9.18449i | 0.808738 | + | 0.507903i | ||||
\(328\) | 7.63599 | − | 17.0642i | 0.421627 | − | 0.942213i | ||||
\(329\) | −4.53268 | + | 5.40948i | −0.249895 | + | 0.298234i | ||||
\(330\) | −1.72353 | + | 37.0201i | −0.0948772 | + | 2.03789i | ||||
\(331\) | 17.2954 | − | 2.27699i | 0.950642 | − | 0.125154i | 0.360773 | − | 0.932653i | \(-0.382513\pi\) |
0.589869 | + | 0.807499i | \(0.299179\pi\) | |||||||
\(332\) | −0.777475 | + | 1.78195i | −0.0426695 | + | 0.0977973i | ||||
\(333\) | −17.5352 | − | 15.6558i | −0.960922 | − | 0.857934i | ||||
\(334\) | 3.92368 | + | 9.72903i | 0.214694 | + | 0.532349i | ||||
\(335\) | − | 10.8000i | − | 0.590069i | ||||||
\(336\) | 2.14926 | − | 18.2039i | 0.117252 | − | 0.993102i | ||||
\(337\) | − | 23.2159i | − | 1.26465i | −0.774703 | − | 0.632325i | \(-0.782101\pi\) | ||
0.774703 | − | 0.632325i | \(-0.217899\pi\) | |||||||
\(338\) | 6.01133 | − | 2.42435i | 0.326973 | − | 0.131867i | ||||
\(339\) | 16.5064 | + | 7.56755i | 0.896505 | + | 0.411013i | ||||
\(340\) | 6.52736 | + | 16.6318i | 0.353996 | + | 0.901988i | ||||
\(341\) | −5.15413 | + | 0.678554i | −0.279112 | + | 0.0367457i | ||||
\(342\) | 9.11637 | − | 25.3284i | 0.492957 | − | 1.36960i | ||||
\(343\) | −9.22660 | + | 16.0583i | −0.498190 | + | 0.867068i | ||||
\(344\) | 13.8133 | + | 0.387730i | 0.744761 | + | 0.0209050i | ||||
\(345\) | −2.72201 | + | 4.33428i | −0.146548 | + | 0.233350i | ||||
\(346\) | 0.173675 | + | 0.307419i | 0.00933680 | + | 0.0165269i | ||||
\(347\) | −17.3017 | − | 22.5481i | −0.928805 | − | 1.21044i | −0.977352 | − | 0.211622i | \(-0.932125\pi\) |
0.0485462 | − | 0.998821i | \(-0.484541\pi\) | |||||||
\(348\) | 21.5737 | − | 19.2881i | 1.15647 | − | 1.03395i | ||||
\(349\) | −12.1822 | + | 5.04604i | −0.652100 | + | 0.270109i | −0.684110 | − | 0.729379i | \(-0.739809\pi\) |
0.0320101 | + | 0.999488i | \(0.489809\pi\) | |||||||
\(350\) | −37.6149 | + | 7.99800i | −2.01060 | + | 0.427511i | ||||
\(351\) | 17.0257 | − | 13.5969i | 0.908765 | − | 0.725747i | ||||
\(352\) | 4.67222 | + | 21.3924i | 0.249030 | + | 1.14022i | ||||
\(353\) | −14.2930 | − | 8.25206i | −0.760739 | − | 0.439213i | 0.0688218 | − | 0.997629i | \(-0.478076\pi\) |
−0.829561 | + | 0.558416i | \(0.811409\pi\) | |||||||
\(354\) | 1.21568 | − | 6.77987i | 0.0646129 | − | 0.360346i | ||||
\(355\) | −32.1858 | + | 41.9453i | −1.70824 | + | 2.22622i | ||||
\(356\) | −1.62823 | − | 2.94612i | −0.0862962 | − | 0.156144i | ||||
\(357\) | −5.94585 | + | 8.62231i | −0.314688 | + | 0.456341i | ||||
\(358\) | −0.946720 | − | 0.558461i | −0.0500357 | − | 0.0295156i | ||||
\(359\) | 0.375445 | − | 1.40118i | 0.0198152 | − | 0.0739514i | −0.955310 | − | 0.295605i | \(-0.904479\pi\) |
0.975125 | + | 0.221654i | \(0.0711454\pi\) | |||||||
\(360\) | 30.9908 | + | 11.8138i | 1.63336 | + | 0.622644i | ||||
\(361\) | 5.50183 | + | 20.5331i | 0.289570 | + | 1.08069i | ||||
\(362\) | 3.57837 | + | 3.64595i | 0.188075 | + | 0.191627i | ||||
\(363\) | 4.40046 | − | 5.31365i | 0.230964 | − | 0.278894i | ||||
\(364\) | −1.36695 | + | 22.1464i | −0.0716475 | + | 1.16079i | ||||
\(365\) | −34.1836 | + | 14.1593i | −1.78925 | + | 0.741133i | ||||
\(366\) | 0.548074 | + | 6.48013i | 0.0286483 | + | 0.338722i | ||||
\(367\) | 16.1690 | − | 28.0055i | 0.844013 | − | 1.46187i | −0.0424628 | − | 0.999098i | \(-0.513520\pi\) |
0.886476 | − | 0.462775i | \(-0.153146\pi\) | |||||||
\(368\) | −0.891386 | + | 2.88964i | −0.0464667 | + | 0.150633i | ||||
\(369\) | −1.47267 | + | 19.7741i | −0.0766643 | + | 1.02940i | ||||
\(370\) | −6.05499 | + | 42.8883i | −0.314784 | + | 2.22965i | ||||
\(371\) | 13.7108 | + | 8.72133i | 0.711829 | + | 0.452789i | ||||
\(372\) | −0.863910 | + | 4.57145i | −0.0447917 | + | 0.237019i | ||||
\(373\) | 2.38177 | + | 18.0913i | 0.123323 | + | 0.936734i | 0.935501 | + | 0.353324i | \(0.114949\pi\) |
−0.812178 | + | 0.583410i | \(0.801718\pi\) | |||||||
\(374\) | 3.35109 | − | 12.0543i | 0.173281 | − | 0.623312i | ||||
\(375\) | 1.32776 | − | 35.7058i | 0.0685651 | − | 1.84384i | ||||
\(376\) | −5.85441 | − | 4.75908i | −0.301918 | − | 0.245431i | ||||
\(377\) | −24.7699 | + | 24.7699i | −1.27572 | + | 1.27572i | ||||
\(378\) | 4.41159 | + | 18.9351i | 0.226908 | + | 0.973916i | ||||
\(379\) | 13.6044 | + | 5.63513i | 0.698811 | + | 0.289457i | 0.703666 | − | 0.710531i | \(-0.251545\pi\) |
−0.00485445 | + | 0.999988i | \(0.501545\pi\) | |||||||
\(380\) | −48.1418 | + | 11.9390i | −2.46962 | + | 0.612456i | ||||
\(381\) | 2.55957 | − | 5.58297i | 0.131131 | − | 0.286024i | ||||
\(382\) | 0.633638 | + | 5.18747i | 0.0324198 | + | 0.265414i | ||||
\(383\) | 5.30891 | + | 9.19531i | 0.271273 | + | 0.469858i | 0.969188 | − | 0.246322i | \(-0.0792221\pi\) |
−0.697915 | + | 0.716180i | \(0.745889\pi\) | |||||||
\(384\) | 19.4928 | + | 2.00793i | 0.994736 | + | 0.102467i | ||||
\(385\) | 36.2909 | + | 16.8920i | 1.84956 | + | 0.860896i | ||||
\(386\) | −19.4080 | + | 14.6059i | −0.987842 | + | 0.743421i | ||||
\(387\) | −13.9204 | + | 4.58778i | −0.707615 | + | 0.233210i | ||||
\(388\) | −11.1535 | − | 11.5788i | −0.566233 | − | 0.587826i | ||||
\(389\) | 22.7358 | − | 17.4458i | 1.15275 | − | 0.884536i | 0.158057 | − | 0.987430i | \(-0.449477\pi\) |
0.994692 | + | 0.102894i | \(0.0328102\pi\) | |||||||
\(390\) | −38.2541 | − | 12.1831i | −1.93707 | − | 0.616915i | ||||
\(391\) | 1.22179 | − | 1.22179i | 0.0617884 | − | 0.0617884i | ||||
\(392\) | −17.3119 | − | 9.60722i | −0.874382 | − | 0.485238i | ||||
\(393\) | 5.39880 | + | 10.2093i | 0.272333 | + | 0.514992i | ||||
\(394\) | −24.5570 | − | 25.0207i | −1.23716 | − | 1.26053i | ||||
\(395\) | −47.6019 | + | 36.5262i | −2.39511 | + | 1.83783i | ||||
\(396\) | −12.3653 | − | 19.6595i | −0.621381 | − | 0.987927i | ||||
\(397\) | 9.48679 | − | 12.3634i | 0.476128 | − | 0.620503i | −0.492110 | − | 0.870533i | \(-0.663774\pi\) |
0.968238 | + | 0.250031i | \(0.0804407\pi\) | |||||||
\(398\) | −0.836573 | + | 5.92555i | −0.0419336 | + | 0.297021i | ||||
\(399\) | −21.5771 | − | 19.4894i | −1.08021 | − | 0.975689i | ||||
\(400\) | −9.14741 | − | 40.0804i | −0.457370 | − | 2.00402i | ||||
\(401\) | 10.9008 | + | 18.8807i | 0.544360 | + | 0.942859i | 0.998647 | + | 0.0520033i | \(0.0165606\pi\) |
−0.454287 | + | 0.890855i | \(0.650106\pi\) | |||||||
\(402\) | 3.86603 | + | 5.55536i | 0.192820 | + | 0.277076i | ||||
\(403\) | 0.735075 | − | 5.58345i | 0.0366167 | − | 0.278131i | ||||
\(404\) | −12.9545 | − | 1.95268i | −0.644510 | − | 0.0971496i | ||||
\(405\) | −35.1725 | − | 0.625291i | −1.74774 | − | 0.0310709i | ||||
\(406\) | −10.4360 | − | 29.4639i | −0.517929 | − | 1.46227i | ||||
\(407\) | 21.4470 | − | 21.4470i | 1.06309 | − | 1.06309i | ||||
\(408\) | −9.31116 | − | 6.21857i | −0.460971 | − | 0.307865i | ||||
\(409\) | 12.6445 | − | 3.38808i | 0.625230 | − | 0.167530i | 0.0677255 | − | 0.997704i | \(-0.478426\pi\) |
0.557504 | + | 0.830174i | \(0.311759\pi\) | |||||||
\(410\) | 31.8105 | − | 17.9712i | 1.57101 | − | 0.887534i | ||||
\(411\) | 19.2177 | + | 3.26065i | 0.947939 | + | 0.160836i | ||||
\(412\) | 8.48932 | + | 15.3606i | 0.418239 | + | 0.756760i | ||||
\(413\) | −6.27752 | − | 3.99308i | −0.308896 | − | 0.196487i | ||||
\(414\) | −0.151360 | − | 3.20386i | −0.00743894 | − | 0.157461i | ||||
\(415\) | −3.29053 | + | 1.89979i | −0.161526 | + | 0.0932569i | ||||
\(416\) | −23.6946 | − | 1.10901i | −1.16173 | − | 0.0543737i | ||||
\(417\) | 28.3534 | − | 26.3203i | 1.38847 | − | 1.28891i | ||||
\(418\) | 31.9633 | + | 13.5913i | 1.56338 | + | 0.664771i | ||||
\(419\) | −10.9287 | + | 4.52680i | −0.533900 | + | 0.221149i | −0.633310 | − | 0.773898i | \(-0.718304\pi\) |
0.0994103 | + | 0.995047i | \(0.468304\pi\) | |||||||
\(420\) | 24.5054 | − | 26.1307i | 1.19574 | − | 1.27505i | ||||
\(421\) | 4.07086 | − | 9.82793i | 0.198402 | − | 0.478984i | −0.793098 | − | 0.609094i | \(-0.791533\pi\) |
0.991500 | + | 0.130110i | \(0.0415331\pi\) | |||||||
\(422\) | 15.8025 | + | 0.147821i | 0.769251 | + | 0.00719580i | ||||
\(423\) | 7.55455 | + | 2.63953i | 0.367315 | + | 0.128339i | ||||
\(424\) | −9.10444 | + | 14.7945i | −0.442151 | + | 0.718486i | ||||
\(425\) | −6.07970 | + | 22.6898i | −0.294909 | + | 1.10062i | ||||
\(426\) | 1.54089 | − | 33.0973i | 0.0746566 | − | 1.60357i | ||||
\(427\) | 6.70069 | + | 2.10759i | 0.324269 | + | 0.101994i | ||||
\(428\) | −6.94470 | + | 8.70823i | −0.335685 | + | 0.420928i | ||||
\(429\) | 16.2737 | + | 22.9245i | 0.785704 | + | 1.10680i | ||||
\(430\) | 21.2709 | + | 16.6401i | 1.02577 | + | 0.802459i | ||||
\(431\) | −1.67831 | − | 0.968972i | −0.0808413 | − | 0.0466737i | 0.459034 | − | 0.888418i | \(-0.348195\pi\) |
−0.539876 | + | 0.841745i | \(0.681529\pi\) | |||||||
\(432\) | −20.1701 | + | 5.01676i | −0.970433 | + | 0.241369i | ||||
\(433\) | 33.8201i | 1.62529i | 0.582758 | + | 0.812646i | \(0.301973\pi\) | ||||
−0.582758 | + | 0.812646i | \(0.698027\pi\) | |||||||
\(434\) | 4.21462 | + | 2.73659i | 0.202308 | + | 0.131361i | ||||
\(435\) | 56.3079 | − | 5.29329i | 2.69976 | − | 0.253794i | ||||
\(436\) | 11.8412 | + | 16.0446i | 0.567092 | + | 0.768395i | ||||
\(437\) | 2.92006 | + | 3.80550i | 0.139685 | + | 0.182042i | ||||
\(438\) | 12.5150 | − | 19.5198i | 0.597987 | − | 0.932694i | ||||
\(439\) | −1.41947 | + | 5.29753i | −0.0677476 | + | 0.252837i | −0.991491 | − | 0.130174i | \(-0.958446\pi\) |
0.923744 | + | 0.383011i | \(0.125113\pi\) | |||||||
\(440\) | −17.4792 | + | 39.0610i | −0.833290 | + | 1.86216i | ||||
\(441\) | 20.7311 | + | 3.35007i | 0.987194 | + | 0.159527i | ||||
\(442\) | 11.6738 | + | 6.88628i | 0.555268 | + | 0.327547i | ||||
\(443\) | 17.2195 | − | 2.26699i | 0.818123 | − | 0.107708i | 0.290163 | − | 0.956977i | \(-0.406291\pi\) |
0.527960 | + | 0.849269i | \(0.322957\pi\) | |||||||
\(444\) | −12.2379 | − | 24.2285i | −0.580784 | − | 1.14983i | ||||
\(445\) | 0.858672 | − | 6.52226i | 0.0407049 | − | 0.309185i | ||||
\(446\) | 7.46786 | − | 17.5625i | 0.353614 | − | 0.831610i | ||||
\(447\) | −11.5383 | − | 3.55617i | −0.545742 | − | 0.168201i | ||||
\(448\) | 9.99413 | − | 18.6579i | 0.472178 | − | 0.881503i | ||||
\(449\) | 1.87823i | 0.0886393i | 0.999017 | + | 0.0443196i | \(0.0141120\pi\) | ||||
−0.999017 | + | 0.0443196i | \(0.985888\pi\) | |||||||
\(450\) | 23.5601 | + | 36.6919i | 1.11064 | + | 1.72967i | ||||
\(451\) | −25.3657 | − | 3.33946i | −1.19443 | − | 0.157249i | ||||
\(452\) | 14.5464 | + | 15.1011i | 0.684204 | + | 0.710295i | ||||
\(453\) | 11.4445 | + | 1.94178i | 0.537709 | + | 0.0912326i | ||||
\(454\) | −5.48781 | + | 9.30310i | −0.257556 | + | 0.436616i | ||||
\(455\) | −27.8507 | + | 33.2381i | −1.30566 | + | 1.55823i | ||||
\(456\) | 20.4896 | − | 23.3742i | 0.959513 | − | 1.09460i | ||||
\(457\) | 24.0850 | + | 6.45357i | 1.12665 | + | 0.301885i | 0.773572 | − | 0.633709i | \(-0.218468\pi\) |
0.353079 | + | 0.935594i | \(0.385135\pi\) | |||||||
\(458\) | 15.0978 | + | 4.19719i | 0.705474 | + | 0.196122i | ||||
\(459\) | 11.5288 | + | 2.85071i | 0.538118 | + | 0.133060i | ||||
\(460\) | −4.75513 | + | 3.50939i | −0.221709 | + | 0.163626i | ||||
\(461\) | 21.7547 | − | 9.01111i | 1.01322 | − | 0.419689i | 0.186591 | − | 0.982438i | \(-0.440256\pi\) |
0.826628 | + | 0.562749i | \(0.190256\pi\) | |||||||
\(462\) | −24.7142 | + | 4.30190i | −1.14981 | + | 0.200143i | ||||
\(463\) | −6.41515 | −0.298137 | −0.149069 | − | 0.988827i | \(-0.547628\pi\) | ||||
−0.149069 | + | 0.988827i | \(0.547628\pi\) | |||||||
\(464\) | 31.3288 | − | 11.6238i | 1.45440 | − | 0.539622i | ||||
\(465\) | −6.66370 | + | 6.18587i | −0.309022 | + | 0.286863i | ||||
\(466\) | −17.3240 | + | 22.1451i | −0.802519 | + | 1.02585i | ||||
\(467\) | 22.1598 | − | 28.8793i | 1.02544 | − | 1.33637i | 0.0850075 | − | 0.996380i | \(-0.472909\pi\) |
0.940428 | − | 0.339993i | \(-0.110425\pi\) | |||||||
\(468\) | 24.0383 | − | 7.42680i | 1.11117 | − | 0.343304i | ||||
\(469\) | 7.13607 | − | 1.58724i | 0.329513 | − | 0.0732920i | ||||
\(470\) | −3.68288 | − | 14.2776i | −0.169879 | − | 0.658577i | ||||
\(471\) | −11.7461 | + | 18.7034i | −0.541231 | + | 0.861806i | ||||
\(472\) | 4.16849 | − | 6.77370i | 0.191870 | − | 0.311785i | ||||
\(473\) | −4.89465 | − | 18.2671i | −0.225056 | − | 0.839921i | ||||
\(474\) | 11.4105 | − | 35.8283i | 0.524103 | − | 1.64565i | ||||
\(475\) | −60.2471 | − | 24.9552i | −2.76433 | − | 1.14502i | ||||
\(476\) | −10.0301 | + | 6.75724i | −0.459729 | + | 0.309717i | ||||
\(477\) | 3.75506 | − | 18.0386i | 0.171932 | − | 0.825929i | ||||
\(478\) | 14.2169 | − | 33.4346i | 0.650267 | − | 1.52926i | ||||
\(479\) | 9.28484 | − | 16.0818i | 0.424235 | − | 0.734797i | −0.572114 | − | 0.820174i | \(-0.693876\pi\) |
0.996349 | + | 0.0853777i | \(0.0272097\pi\) | |||||||
\(480\) | 28.3215 | + | 25.7790i | 1.29269 | + | 1.17665i | ||||
\(481\) | 16.4286 | + | 28.4551i | 0.749078 | + | 1.29744i | ||||
\(482\) | 8.38836 | + | 11.1463i | 0.382079 | + | 0.507699i | ||||
\(483\) | −3.26390 | − | 1.16156i | −0.148512 | − | 0.0528529i | ||||
\(484\) | 6.97250 | − | 3.85349i | 0.316932 | − | 0.175159i | ||||
\(485\) | −4.10111 | − | 31.1511i | −0.186222 | − | 1.41450i | ||||
\(486\) | 18.3160 | − | 12.2689i | 0.830830 | − | 0.556527i | ||||
\(487\) | −7.17368 | − | 26.7725i | −0.325071 | − | 1.21318i | −0.914241 | − | 0.405171i | \(-0.867212\pi\) |
0.589170 | − | 0.808009i | \(-0.299455\pi\) | |||||||
\(488\) | −2.14631 | + | 7.19606i | −0.0971589 | + | 0.325750i | ||||
\(489\) | 4.31725 | − | 2.28301i | 0.195233 | − | 0.103241i | ||||
\(490\) | −16.0730 | − | 35.1977i | −0.726106 | − | 1.59007i | ||||
\(491\) | −20.4136 | − | 8.45558i | −0.921251 | − | 0.381595i | −0.128898 | − | 0.991658i | \(-0.541144\pi\) |
−0.792353 | + | 0.610063i | \(0.791144\pi\) | |||||||
\(492\) | −9.92975 | + | 20.6311i | −0.447668 | + | 0.930122i | ||||
\(493\) | −18.9298 | − | 2.49216i | −0.852556 | − | 0.112241i | ||||
\(494\) | −23.1835 | + | 29.6352i | −1.04307 | + | 1.33335i | ||||
\(495\) | 3.37104 | − | 45.2640i | 0.151517 | − | 2.03447i | ||||
\(496\) | −2.85820 | + | 4.54863i | −0.128337 | + | 0.204240i | ||||
\(497\) | −32.4454 | − | 15.1020i | −1.45537 | − | 0.677418i | ||||
\(498\) | 1.01254 | − | 2.15511i | 0.0453728 | − | 0.0965728i | ||||
\(499\) | 0.199857 | + | 0.153355i | 0.00894681 | + | 0.00686513i | 0.613225 | − | 0.789908i | \(-0.289872\pi\) |
−0.604278 | + | 0.796773i | \(0.706539\pi\) | |||||||
\(500\) | 16.4990 | − | 37.8154i | 0.737860 | − | 1.69116i | ||||
\(501\) | −4.47226 | − | 12.0446i | −0.199806 | − | 0.538114i | ||||
\(502\) | 17.1311 | − | 16.8135i | 0.764597 | − | 0.750425i | ||||
\(503\) | 6.71973 | − | 6.71973i | 0.299618 | − | 0.299618i | −0.541246 | − | 0.840864i | \(-0.682047\pi\) |
0.840864 | + | 0.541246i | \(0.182047\pi\) | |||||||
\(504\) | −3.25133 | + | 22.2133i | −0.144826 | + | 0.989457i | ||||
\(505\) | −18.1044 | − | 18.1044i | −0.805634 | − | 0.805634i | ||||
\(506\) | 4.13829 | + | 0.0387108i | 0.183969 | + | 0.00172090i | ||||
\(507\) | −7.44208 | + | 2.76331i | −0.330514 | + | 0.122723i | ||||
\(508\) | 5.10764 | − | 4.92002i | 0.226615 | − | 0.218291i | ||||
\(509\) | 2.39137 | − | 3.11650i | 0.105996 | − | 0.138136i | −0.737343 | − | 0.675518i | \(-0.763920\pi\) |
0.843339 | + | 0.537382i | \(0.180587\pi\) | |||||||
\(510\) | −7.42475 | − | 20.5842i | −0.328773 | − | 0.911484i | ||||
\(511\) | −14.3795 | − | 20.5057i | −0.636114 | − | 0.907120i | ||||
\(512\) | 20.1029 | + | 10.3863i | 0.888429 | + | 0.459014i | ||||
\(513\) | −12.0236 | + | 30.6983i | −0.530856 | + | 1.35536i | ||||
\(514\) | −16.1005 | + | 1.96664i | −0.710163 | + | 0.0867448i | ||||
\(515\) | −4.47696 | + | 34.0059i | −0.197278 | + | 1.49848i | ||||
\(516\) | −16.8980 | − | 0.945190i | −0.743891 | − | 0.0416097i | ||||
\(517\) | −3.95131 | + | 9.53932i | −0.173779 | + | 0.419539i | ||||
\(518\) | −29.2281 | + | 2.30233i | −1.28421 | + | 0.101158i | ||||
\(519\) | −0.202154 | − | 0.382279i | −0.00887356 | − | 0.0167802i | ||||
\(520\) | −35.9720 | − | 29.2418i | −1.57748 | − | 1.28234i | ||||
\(521\) | 0.137858 | − | 0.0369390i | 0.00603968 | − | 0.00161833i | −0.255798 | − | 0.966730i | \(-0.582338\pi\) |
0.261838 | + | 0.965112i | \(0.415672\pi\) | |||||||
\(522\) | −27.0690 | + | 22.8790i | −1.18478 | + | 1.00139i | ||||
\(523\) | −18.5451 | + | 2.44150i | −0.810918 | + | 0.106759i | −0.524571 | − | 0.851367i | \(-0.675774\pi\) |
−0.286347 | + | 0.958126i | \(0.592441\pi\) | |||||||
\(524\) | 1.49300 | + | 13.2517i | 0.0652219 | + | 0.578903i | ||||
\(525\) | 46.3233 | − | 8.51050i | 2.02171 | − | 0.371428i | ||||
\(526\) | 37.5638 | + | 5.30329i | 1.63786 | + | 0.231234i | ||||
\(527\) | 2.65829 | − | 1.53476i | 0.115797 | − | 0.0668554i | ||||
\(528\) | −4.99141 | − | 26.3492i | −0.217223 | − | 1.14670i | ||||
\(529\) | −19.4236 | − | 11.2142i | −0.844505 | − | 0.487575i | ||||
\(530\) | −31.4857 | + | 12.6981i | −1.36765 | + | 0.551568i | ||||
\(531\) | −1.71926 | + | 8.25899i | −0.0746096 | + | 0.358410i | ||||
\(532\) | −14.9638 | − | 30.0548i | −0.648764 | − | 1.30304i | ||||
\(533\) | 10.6063 | − | 25.6060i | 0.459412 | − | 1.10912i | ||||
\(534\) | 1.89305 | + | 3.66231i | 0.0819202 | + | 0.158484i | ||||
\(535\) | −21.0263 | + | 5.63398i | −0.909047 | + | 0.243578i | ||||
\(536\) | 1.81012 | + | 7.60270i | 0.0781852 | + | 0.328386i | ||||
\(537\) | 1.14002 | + | 0.715954i | 0.0491955 | + | 0.0308957i | ||||
\(538\) | −4.77285 | + | 8.09108i | −0.205772 | + | 0.348831i | ||||
\(539\) | −5.82775 | + | 26.4616i | −0.251019 | + | 1.13978i | ||||
\(540\) | −37.5388 | − | 15.5190i | −1.61541 | − | 0.667829i | ||||
\(541\) | 5.21224 | + | 3.99949i | 0.224092 | + | 0.171952i | 0.714706 | − | 0.699425i | \(-0.246561\pi\) |
−0.490614 | + | 0.871377i | \(0.663227\pi\) | |||||||
\(542\) | 4.69892 | + | 38.4692i | 0.201836 | + | 1.65239i | ||||
\(543\) | −4.25671 | − | 4.58552i | −0.182673 | − | 0.196784i | ||||
\(544\) | −7.38248 | − | 10.6140i | −0.316521 | − | 0.455071i | ||||
\(545\) | 38.9714i | 1.66935i | ||||||||
\(546\) | 2.42786 | − | 27.0667i | 0.103903 | − | 1.15835i | ||||
\(547\) | −3.32116 | − | 8.01798i | −0.142002 | − | 0.342824i | 0.836838 | − | 0.547451i | \(-0.184402\pi\) |
−0.978840 | + | 0.204627i | \(0.934402\pi\) | |||||||
\(548\) | 19.2784 | + | 11.6166i | 0.823533 | + | 0.496236i | ||||
\(549\) | −0.450266 | − | 7.95210i | −0.0192169 | − | 0.339388i | ||||
\(550\) | −48.9854 | + | 27.6741i | −2.08874 | + | 1.18003i | ||||
\(551\) | 13.7186 | − | 51.1984i | 0.584431 | − | 2.18113i | ||||
\(552\) | 1.18972 | − | 3.50734i | 0.0506380 | − | 0.149282i | ||||
\(553\) | −31.1304 | − | 26.0846i | −1.32380 | − | 1.10923i | ||||
\(554\) | −39.8043 | + | 10.2675i | −1.69112 | + | 0.436222i | ||||
\(555\) | 8.87380 | − | 52.3006i | 0.376672 | − | 2.22004i | ||||
\(556\) | 41.5839 | − | 16.3201i | 1.76355 | − | 0.692125i | ||||
\(557\) | 2.07442 | − | 15.7567i | 0.0878958 | − | 0.667635i | −0.889609 | − | 0.456723i | \(-0.849023\pi\) |
0.977505 | − | 0.210912i | \(-0.0676434\pi\) | |||||||
\(558\) | 1.21337 | − | 5.56727i | 0.0513661 | − | 0.235681i | ||||
\(559\) | 20.4867 | 0.866496 | ||||||||
\(560\) | 37.3682 | − | 17.7406i | 1.57909 | − | 0.749677i | ||||
\(561\) | −4.51324 | + | 14.6436i | −0.190549 | + | 0.618252i | ||||
\(562\) | −14.0944 | + | 5.68421i | −0.594535 | + | 0.239774i | ||||
\(563\) | −10.1293 | − | 1.33355i | −0.426901 | − | 0.0562026i | −0.0859853 | − | 0.996296i | \(-0.527404\pi\) |
−0.340916 | + | 0.940094i | \(0.610737\pi\) | |||||||
\(564\) | 7.00528 | + | 6.02582i | 0.294976 | + | 0.253733i | ||||
\(565\) | 5.34867 | + | 40.6272i | 0.225020 | + | 1.70920i | ||||
\(566\) | 2.42757 | − | 0.626188i | 0.102038 | − | 0.0263207i | ||||
\(567\) | −4.75602 | − | 23.3320i | −0.199734 | − | 0.979850i | ||||
\(568\) | 15.6270 | − | 34.9218i | 0.655696 | − | 1.46529i | ||||
\(569\) | −18.2100 | − | 4.87936i | −0.763403 | − | 0.204553i | −0.143948 | − | 0.989585i | \(-0.545980\pi\) |
−0.619455 | + | 0.785032i | \(0.712646\pi\) | |||||||
\(570\) | 59.3453 | − | 12.9767i | 2.48570 | − | 0.543535i | ||||
\(571\) | −5.59146 | + | 4.29048i | −0.233995 | + | 0.179551i | −0.719103 | − | 0.694903i | \(-0.755447\pi\) |
0.485108 | + | 0.874454i | \(0.338780\pi\) | |||||||
\(572\) | 7.81389 | + | 31.5082i | 0.326715 | + | 1.31742i | ||||
\(573\) | −0.599051 | − | 6.37246i | −0.0250257 | − | 0.266213i | ||||
\(574\) | 16.5495 | + | 18.3775i | 0.690761 | + | 0.767061i | ||||
\(575\) | −7.76998 | −0.324030 | ||||||||
\(576\) | −23.7960 | − | 3.12221i | −0.991502 | − | 0.130092i | ||||
\(577\) | 17.3098 | − | 29.9815i | 0.720617 | − | 1.24814i | −0.240136 | − | 0.970739i | \(-0.577192\pi\) |
0.960753 | − | 0.277406i | \(-0.0894746\pi\) | |||||||
\(578\) | −2.01927 | − | 16.5314i | −0.0839905 | − | 0.687614i | ||||
\(579\) | 24.2582 | − | 17.2205i | 1.00814 | − | 0.715660i | ||||
\(580\) | 62.7530 | + | 18.0794i | 2.60568 | + | 0.750705i | ||||
\(581\) | −1.73887 | − | 1.89500i | −0.0721406 | − | 0.0786176i | ||||
\(582\) | 13.2605 | + | 14.5555i | 0.549666 | + | 0.603346i | ||||
\(583\) | 22.9636 | + | 6.15307i | 0.951053 | + | 0.254834i | ||||
\(584\) | 21.6905 | − | 15.6968i | 0.897557 | − | 0.649536i | ||||
\(585\) | 46.4184 | + | 16.2184i | 1.91916 | + | 0.670549i | ||||
\(586\) | −13.4895 | − | 13.7442i | −0.557246 | − | 0.567769i | ||||
\(587\) | −26.7434 | − | 11.0775i | −1.10382 | − | 0.457217i | −0.245015 | − | 0.969519i | \(-0.578793\pi\) |
−0.858805 | + | 0.512302i | \(0.828793\pi\) | |||||||
\(588\) | 20.8672 | + | 12.3515i | 0.860549 | + | 0.509368i | ||||
\(589\) | 3.26097 | + | 7.87267i | 0.134366 | + | 0.324388i | ||||
\(590\) | 14.4158 | − | 5.81383i | 0.593488 | − | 0.239352i | ||||
\(591\) | 29.2121 | + | 31.4686i | 1.20163 | + | 1.29445i | ||||
\(592\) | −2.92578 | − | 31.2061i | −0.120249 | − | 1.28256i | ||||
\(593\) | 14.9926 | + | 25.9679i | 0.615672 | + | 1.06638i | 0.990266 | + | 0.139187i | \(0.0444489\pi\) |
−0.374594 | + | 0.927189i | \(0.622218\pi\) | |||||||
\(594\) | 14.4689 | + | 24.4897i | 0.593665 | + | 1.00483i | ||||
\(595\) | −23.6138 | − | 1.01453i | −0.968073 | − | 0.0415916i | ||||
\(596\) | −10.9000 | − | 8.69259i | −0.446481 | − | 0.356062i | ||||
\(597\) | 1.22603 | − | 7.22599i | 0.0501779 | − | 0.295740i | ||||
\(598\) | −1.20079 | + | 4.31939i | −0.0491040 | + | 0.176633i | ||||
\(599\) | −5.88006 | − | 21.9447i | −0.240253 | − | 0.896635i | −0.975710 | − | 0.219064i | \(-0.929700\pi\) |
0.735458 | − | 0.677571i | \(-0.236967\pi\) | |||||||
\(600\) | 9.83370 | + | 49.3808i | 0.401459 | + | 2.01596i | ||||
\(601\) | −30.2208 | − | 30.2208i | −1.23273 | − | 1.23273i | −0.962910 | − | 0.269823i | \(-0.913035\pi\) |
−0.269823 | − | 0.962910i | \(-0.586965\pi\) | |||||||
\(602\) | −7.86878 | + | 16.5002i | −0.320708 | + | 0.672497i | ||||
\(603\) | −4.54384 | − | 6.93294i | −0.185039 | − | 0.282331i | ||||
\(604\) | 11.4806 | + | 6.91788i | 0.467141 | + | 0.281485i | ||||
\(605\) | 15.4360 | + | 2.03219i | 0.627565 | + | 0.0826205i | ||||
\(606\) | 15.7933 | + | 2.83186i | 0.641559 | + | 0.115037i | ||||
\(607\) | 15.7859 | − | 9.11397i | 0.640728 | − | 0.369925i | −0.144167 | − | 0.989553i | \(-0.546050\pi\) |
0.784895 | + | 0.619629i | \(0.212717\pi\) | |||||||
\(608\) | 31.8884 | − | 16.4731i | 1.29325 | − | 0.668074i | ||||
\(609\) | 11.7729 | + | 36.4272i | 0.477061 | + | 1.47611i | ||||
\(610\) | −11.7261 | + | 8.82474i | −0.474777 | + | 0.357303i | ||||
\(611\) | −8.87393 | − | 6.80920i | −0.359001 | − | 0.275471i | ||||
\(612\) | 11.1876 | + | 7.93037i | 0.452231 | + | 0.320566i | ||||
\(613\) | 12.8269 | + | 16.7164i | 0.518075 | + | 0.675169i | 0.976984 | − | 0.213315i | \(-0.0684260\pi\) |
−0.458908 | + | 0.888484i | \(0.651759\pi\) | |||||||
\(614\) | 28.3157 | + | 0.264873i | 1.14273 | + | 0.0106894i | ||||
\(615\) | −39.5569 | + | 20.9181i | −1.59509 | + | 0.843499i | ||||
\(616\) | −28.3782 | − | 5.80866i | −1.14339 | − | 0.234038i | ||||
\(617\) | 21.8783 | + | 21.8783i | 0.880789 | + | 0.880789i | 0.993615 | − | 0.112826i | \(-0.0359901\pi\) |
−0.112826 | + | 0.993615i | \(0.535990\pi\) | |||||||
\(618\) | −9.87002 | − | 19.0946i | −0.397030 | − | 0.768099i | ||||
\(619\) | 4.42232 | + | 5.76328i | 0.177748 | + | 0.231646i | 0.873727 | − | 0.486416i | \(-0.161696\pi\) |
−0.695979 | + | 0.718062i | \(0.745029\pi\) | |||||||
\(620\) | −9.77317 | + | 3.83559i | −0.392500 | + | 0.154041i | ||||
\(621\) | 0.0761764 | + | 3.92755i | 0.00305686 | + | 0.157607i | ||||
\(622\) | −0.250033 | + | 1.77101i | −0.0100254 | + | 0.0710111i | ||||
\(623\) | 4.43574 | − | 0.391190i | 0.177714 | − | 0.0156727i | ||||
\(624\) | 28.9709 | + | 2.16481i | 1.15976 | + | 0.0866617i | ||||
\(625\) | 25.3255 | − | 14.6217i | 1.01302 | − | 0.584866i | ||||
\(626\) | −13.8451 | + | 17.6980i | −0.553361 | + | 0.707355i | ||||
\(627\) | −38.6688 | − | 17.7281i | −1.54428 | − | 0.707994i | ||||
\(628\) | −20.5195 | + | 15.1438i | −0.818816 | + | 0.604303i | ||||
\(629\) | −6.85342 | + | 16.5456i | −0.273264 | + | 0.659717i | ||||
\(630\) | −30.8914 | + | 31.1564i | −1.23074 | + | 1.24130i | ||||
\(631\) | 13.6921 | + | 13.6921i | 0.545075 | + | 0.545075i | 0.925012 | − | 0.379937i | \(-0.124054\pi\) |
−0.379937 | + | 0.925012i | \(0.624054\pi\) | |||||||
\(632\) | 27.3875 | − | 33.6909i | 1.08942 | − | 1.34015i | ||||
\(633\) | −19.3415 | − | 0.719232i | −0.768754 | − | 0.0285869i | ||||
\(634\) | 36.7691 | − | 20.7725i | 1.46029 | − | 0.824981i | ||||
\(635\) | 13.7413 | − | 1.80908i | 0.545308 | − | 0.0717912i | ||||
\(636\) | 11.6502 | − | 17.8024i | 0.461962 | − | 0.705911i | ||||
\(637\) | −26.0550 | − | 13.5173i | −1.03234 | − | 0.535575i | ||||
\(638\) | −27.4985 | − | 36.5394i | −1.08868 | − | 1.44661i | ||||
\(639\) | −3.01382 | + | 40.4676i | −0.119225 | + | 1.60087i | ||||
\(640\) | 19.5576 | + | 39.6617i | 0.773082 | + | 1.56777i | ||||
\(641\) | 40.0006 | + | 23.0944i | 1.57993 | + | 0.912173i | 0.994868 | + | 0.101184i | \(0.0322630\pi\) |
0.585062 | + | 0.810989i | \(0.301070\pi\) | |||||||
\(642\) | 8.79881 | − | 10.4247i | 0.347261 | − | 0.411430i | ||||
\(643\) | 10.3561 | + | 25.0019i | 0.408406 | + | 0.985978i | 0.985557 | + | 0.169341i | \(0.0541641\pi\) |
−0.577152 | + | 0.816637i | \(0.695836\pi\) | |||||||
\(644\) | −3.01766 | − | 2.62617i | −0.118912 | − | 0.103486i | ||||
\(645\) | −25.4746 | − | 21.0966i | −1.00306 | − | 0.830677i | ||||
\(646\) | −20.5072 | − | 0.191831i | −0.806847 | − | 0.00754748i | ||||
\(647\) | 16.3050 | − | 4.36890i | 0.641015 | − | 0.171759i | 0.0763516 | − | 0.997081i | \(-0.475673\pi\) |
0.564663 | + | 0.825322i | \(0.309006\pi\) | |||||||
\(648\) | 24.8645 | − | 5.45485i | 0.976771 | − | 0.214287i | ||||
\(649\) | −10.5139 | − | 2.81719i | −0.412707 | − | 0.110584i | ||||
\(650\) | −15.2233 | − | 59.0167i | −0.597106 | − | 2.31483i | ||||
\(651\) | −5.06662 | − | 3.49389i | −0.198577 | − | 0.136936i | ||||
\(652\) | 5.60379 | − | 0.631350i | 0.219462 | − | 0.0247256i | ||||
\(653\) | −9.52203 | − | 7.30651i | −0.372626 | − | 0.285926i | 0.405423 | − | 0.914129i | \(-0.367124\pi\) |
−0.778049 | + | 0.628203i | \(0.783791\pi\) | |||||||
\(654\) | −13.9504 | − | 20.0462i | −0.545502 | − | 0.783869i | ||||
\(655\) | −13.0311 | + | 22.5705i | −0.509166 | + | 0.881901i | ||||
\(656\) | −19.3810 | + | 17.9824i | −0.756702 | + | 0.702094i | ||||
\(657\) | −15.9866 | + | 23.4713i | −0.623696 | + | 0.915702i | ||||
\(658\) | 8.89259 | − | 4.53177i | 0.346669 | − | 0.176667i | ||||
\(659\) | 6.11093 | + | 14.7531i | 0.238048 | + | 0.574699i | 0.997081 | − | 0.0763537i | \(-0.0243278\pi\) |
−0.759033 | + | 0.651052i | \(0.774328\pi\) | |||||||
\(660\) | 22.7298 | − | 47.2258i | 0.884756 | − | 1.83826i | ||||
\(661\) | −8.06223 | + | 6.18636i | −0.313584 | + | 0.240622i | −0.753546 | − | 0.657395i | \(-0.771658\pi\) |
0.439962 | + | 0.898016i | \(0.354992\pi\) | |||||||
\(662\) | −23.7691 | − | 6.60781i | −0.923812 | − | 0.256820i | ||||
\(663\) | −14.0574 | − | 8.82831i | −0.545943 | − | 0.342863i | ||||
\(664\) | 1.99796 | − | 1.88886i | 0.0775359 | − | 0.0733020i | ||||
\(665\) | 11.3489 | − | 64.6259i | 0.440091 | − | 2.50608i | ||||
\(666\) | 14.1572 | + | 30.0790i | 0.548581 | + | 1.16554i | ||||
\(667\) | −0.824345 | − | 6.26152i | −0.0319188 | − | 0.242447i | ||||
\(668\) | 0.277531 | − | 14.8331i | 0.0107380 | − | 0.573911i | ||||
\(669\) | −9.74090 | + | 21.2469i | −0.376605 | + | 0.821454i | ||||
\(670\) | −5.97667 | + | 14.0556i | −0.230899 | + | 0.543017i | ||||
\(671\) | 10.2768 | 0.396732 | ||||||||
\(672\) | −12.8710 | + | 22.5019i | −0.496511 | + | 0.868030i | ||||
\(673\) | −46.2511 | −1.78285 | −0.891424 | − | 0.453171i | \(-0.850293\pi\) | ||||
−0.891424 | + | 0.453171i | \(0.850293\pi\) | |||||||
\(674\) | −12.8475 | + | 30.2142i | −0.494868 | + | 1.16381i | ||||
\(675\) | −27.5942 | − | 45.7234i | −1.06210 | − | 1.75989i | ||||
\(676\) | −9.16503 | − | 0.171480i | −0.352501 | − | 0.00659537i | ||||
\(677\) | 2.44795 | + | 18.5941i | 0.0940825 | + | 0.714628i | 0.971860 | + | 0.235559i | \(0.0756922\pi\) |
−0.877777 | + | 0.479069i | \(0.840975\pi\) | |||||||
\(678\) | −17.2943 | − | 18.9833i | −0.664185 | − | 0.729049i | ||||
\(679\) | 19.9802 | − | 7.28795i | 0.766769 | − | 0.279686i | ||||
\(680\) | 0.708966 | − | 25.2576i | 0.0271876 | − | 0.968584i | ||||
\(681\) | 7.03544 | − | 11.2026i | 0.269599 | − | 0.429284i | ||||
\(682\) | 7.08331 | + | 1.96916i | 0.271234 | + | 0.0754031i | ||||
\(683\) | −18.1850 | + | 13.9539i | −0.695831 | + | 0.533930i | −0.895017 | − | 0.446032i | \(-0.852837\pi\) |
0.199186 | + | 0.979962i | \(0.436170\pi\) | |||||||
\(684\) | −25.8810 | + | 27.9185i | −0.989584 | + | 1.06749i | ||||
\(685\) | 16.8334 | + | 40.6395i | 0.643173 | + | 1.55276i | ||||
\(686\) | 20.8945 | − | 15.7931i | 0.797755 | − | 0.602982i | ||||
\(687\) | −18.3408 | − | 5.65276i | −0.699746 | − | 0.215666i | ||||
\(688\) | −17.7626 | − | 8.14878i | −0.677193 | − | 0.310669i | ||||
\(689\) | −12.8769 | + | 22.3035i | −0.490572 | + | 0.849696i | ||||
\(690\) | 5.94111 | − | 4.13448i | 0.226174 | − | 0.157397i | ||||
\(691\) | −7.56023 | − | 5.80117i | −0.287605 | − | 0.220687i | 0.454875 | − | 0.890555i | \(-0.349684\pi\) |
−0.742480 | + | 0.669868i | \(0.766351\pi\) | |||||||
\(692\) | −0.0559041 | − | 0.496198i | −0.00212515 | − | 0.0188626i | ||||
\(693\) | 30.4034 | − | 4.42489i | 1.15493 | − | 0.168088i | ||||
\(694\) | 10.0393 | + | 38.9197i | 0.381085 | + | 1.47737i | ||||
\(695\) | 84.3288 | + | 22.5958i | 3.19877 | + | 0.857109i | ||||
\(696\) | −38.7508 | + | 13.1636i | −1.46885 | + | 0.498965i | ||||
\(697\) | 14.5918 | − | 3.90985i | 0.552702 | − | 0.148096i | ||||
\(698\) | 18.6469 | + | 0.174429i | 0.705797 | + | 0.00660223i | ||||
\(699\) | 21.9636 | − | 26.5215i | 0.830739 | − | 1.00313i | ||||
\(700\) | 53.3797 | + | 10.4069i | 2.01756 | + | 0.393344i | ||||
\(701\) | −2.99832 | − | 7.23859i | −0.113245 | − | 0.273398i | 0.857088 | − | 0.515170i | \(-0.172271\pi\) |
−0.970333 | + | 0.241772i | \(0.922271\pi\) | |||||||
\(702\) | −29.6824 | + | 8.27363i | −1.12029 | + | 0.312268i | ||||
\(703\) | −43.0559 | − | 24.8584i | −1.62389 | − | 0.937551i | ||||
\(704\) | 5.75778 | − | 30.4266i | 0.217005 | − | 1.14674i | ||||
\(705\) | 4.02253 | + | 17.6051i | 0.151497 | + | 0.663047i | ||||
\(706\) | 14.0349 | + | 18.6492i | 0.528210 | + | 0.701874i | ||||
\(707\) | 9.30164 | − | 14.6231i | 0.349824 | − | 0.549958i | ||||
\(708\) | −5.33408 | + | 8.15086i | −0.200467 | + | 0.306328i | ||||
\(709\) | −47.6206 | + | 6.26938i | −1.78843 | + | 0.235451i | −0.950587 | − | 0.310459i | \(-0.899517\pi\) |
−0.837844 | + | 0.545910i | \(0.816184\pi\) | |||||||
\(710\) | 65.1002 | − | 36.7780i | 2.44317 | − | 1.38025i | ||||
\(711\) | −15.1900 | + | 43.4748i | −0.569668 | + | 1.63043i | ||||
\(712\) | 0.488687 | + | 4.73527i | 0.0183143 | + | 0.177462i | ||||
\(713\) | 0.717944 | + | 0.717944i | 0.0268872 | + | 0.0268872i | ||||
\(714\) | 12.5097 | − | 7.93105i | 0.468164 | − | 0.296812i | ||||
\(715\) | −24.2786 | + | 58.6136i | −0.907966 | + | 2.19202i | ||||
\(716\) | 0.923053 | + | 1.25071i | 0.0344961 | + | 0.0467414i | ||||
\(717\) | −18.5442 | + | 40.4488i | −0.692546 | + | 1.51059i | ||||
\(718\) | −1.26402 | + | 1.61579i | −0.0471730 | + | 0.0603006i | ||||
\(719\) | −35.1299 | + | 20.2823i | −1.31013 | + | 0.756401i | −0.982117 | − | 0.188273i | \(-0.939711\pi\) |
−0.328009 | + | 0.944675i | \(0.606378\pi\) | |||||||
\(720\) | −33.7951 | − | 32.5252i | −1.25947 | − | 1.21214i | ||||
\(721\) | −23.1272 | + | 2.03959i | −0.861301 | + | 0.0759585i | ||||
\(722\) | 4.20257 | − | 29.7673i | 0.156404 | − | 1.10783i | ||||
\(723\) | −9.88997 | − | 13.9318i | −0.367812 | − | 0.518129i | ||||
\(724\) | −2.63940 | − | 6.72525i | −0.0980927 | − | 0.249942i | ||||
\(725\) | 52.2679 | + | 68.1168i | 1.94118 | + | 2.52979i | ||||
\(726\) | −8.66749 | + | 4.48023i | −0.321681 | + | 0.166277i | ||||
\(727\) | −1.98364 | − | 1.98364i | −0.0735692 | − | 0.0735692i | 0.669365 | − | 0.742934i | \(-0.266566\pi\) |
−0.742934 | + | 0.669365i | \(0.766566\pi\) | |||||||
\(728\) | 14.0347 | − | 28.0659i | 0.520161 | − | 1.04019i | ||||
\(729\) | −22.8416 | + | 14.3965i | −0.845986 | + | 0.533205i | ||||
\(730\) | 52.3238 | + | 0.489452i | 1.93659 | + | 0.0181154i | ||||
\(731\) | 6.79763 | + | 8.85884i | 0.251419 | + | 0.327656i | ||||
\(732\) | 2.87278 | − | 8.73682i | 0.106181 | − | 0.322922i | ||||
\(733\) | −16.0785 | − | 12.3375i | −0.593874 | − | 0.455696i | 0.267577 | − | 0.963537i | \(-0.413777\pi\) |
−0.861451 | + | 0.507841i | \(0.830444\pi\) | |||||||
\(734\) | −36.5410 | + | 27.4997i | −1.34875 | + | 1.01503i | ||||
\(735\) | 18.4789 | + | 43.6390i | 0.681603 | + | 1.60965i | ||||
\(736\) | 2.75920 | − | 3.26741i | 0.101705 | − | 0.120438i | ||||
\(737\) | 9.26252 | − | 5.34772i | 0.341189 | − | 0.196986i | ||||
\(738\) | 12.8594 | − | 24.9198i | 0.473363 | − | 0.917312i | ||||
\(739\) | −2.16103 | − | 0.284505i | −0.0794948 | − | 0.0104657i | 0.0906739 | − | 0.995881i | \(-0.471098\pi\) |
−0.170169 | + | 0.985415i | \(0.554431\pi\) | |||||||
\(740\) | 31.6143 | − | 52.4659i | 1.16217 | − | 1.92868i | ||||
\(741\) | 29.3923 | − | 35.4918i | 1.07975 | − | 1.30382i | ||||
\(742\) | −13.0175 | − | 18.9378i | −0.477888 | − | 0.695228i | ||||
\(743\) | −15.0212 | − | 15.0212i | −0.551074 | − | 0.551074i | 0.375677 | − | 0.926751i | \(-0.377410\pi\) |
−0.926751 | + | 0.375677i | \(0.877410\pi\) | |||||||
\(744\) | 3.65414 | − | 5.47141i | 0.133967 | − | 0.200591i | ||||
\(745\) | −7.05199 | − | 26.3184i | −0.258365 | − | 0.964230i | ||||
\(746\) | 6.91190 | − | 24.8629i | 0.253063 | − | 0.910296i | ||||
\(747\) | −1.31303 | + | 2.60395i | −0.0480411 | + | 0.0952735i | ||||
\(748\) | −11.0320 | + | 13.8335i | −0.403371 | + | 0.505802i | ||||
\(749\) | −6.81278 | − | 13.0650i | −0.248934 | − | 0.477385i | ||||
\(750\) | −21.4874 | + | 45.7343i | −0.784608 | + | 1.66998i | ||||
\(751\) | 21.6693 | + | 37.5323i | 0.790722 | + | 1.36957i | 0.925520 | + | 0.378698i | \(0.123628\pi\) |
−0.134798 | + | 0.990873i | \(0.543038\pi\) | |||||||
\(752\) | 4.98554 | + | 9.43347i | 0.181804 | + | 0.344003i | ||||
\(753\) | −21.5458 | + | 20.0008i | −0.785171 | + | 0.728870i | ||||
\(754\) | 45.9442 | − | 18.5291i | 1.67319 | − | 0.674792i | ||||
\(755\) | 10.0246 | + | 24.2016i | 0.364833 | + | 0.880785i | ||||
\(756\) | 4.73713 | − | 27.0843i | 0.172288 | − | 0.985047i | ||||
\(757\) | 1.37683 | + | 0.570303i | 0.0500419 | + | 0.0207280i | 0.407564 | − | 0.913177i | \(-0.366378\pi\) |
−0.357522 | + | 0.933905i | \(0.616378\pi\) | |||||||
\(758\) | −14.5869 | − | 14.8624i | −0.529821 | − | 0.539827i | ||||
\(759\) | −5.06507 | − | 0.188350i | −0.183850 | − | 0.00683667i | ||||
\(760\) | 69.2608 | + | 11.1035i | 2.51235 | + | 0.402766i | ||||
\(761\) | −16.7236 | − | 4.48107i | −0.606229 | − | 0.162439i | −0.0573694 | − | 0.998353i | \(-0.518271\pi\) |
−0.548860 | + | 0.835914i | \(0.684938\pi\) | |||||||
\(762\) | −6.42072 | + | 5.84946i | −0.232598 | + | 0.211904i | ||||
\(763\) | −25.7501 | + | 5.72748i | −0.932218 | + | 0.207349i | ||||
\(764\) | 2.04607 | − | 7.10185i | 0.0740243 | − | 0.256936i | ||||
\(765\) | 8.38877 | + | 25.4535i | 0.303297 | + | 0.920275i | ||||
\(766\) | −1.82062 | − | 14.9051i | −0.0657818 | − | 0.538543i | ||||
\(767\) | 5.89573 | − | 10.2117i | 0.212883 | − | 0.368723i | ||||
\(768\) | −24.2576 | − | 13.4004i | −0.875320 | − | 0.483545i | ||||
\(769\) | −29.1102 | −1.04974 | −0.524871 | − | 0.851182i | \(-0.675886\pi\) | ||||
−0.524871 | + | 0.851182i | \(0.675886\pi\) | |||||||
\(770\) | −37.8827 | − | 42.0672i | −1.36520 | − | 1.51600i | ||||
\(771\) | 19.7784 | − | 1.85929i | 0.712301 | − | 0.0669607i | ||||
\(772\) | 33.3412 | − | 8.26849i | 1.19998 | − | 0.297589i | ||||
\(773\) | −8.47175 | + | 6.50060i | −0.304708 | + | 0.233811i | −0.749785 | − | 0.661682i | \(-0.769843\pi\) |
0.445077 | + | 0.895492i | \(0.353176\pi\) | |||||||
\(774\) | 20.6555 | + | 1.73274i | 0.742446 | + | 0.0622822i | ||||
\(775\) | −13.3329 | − | 3.57254i | −0.478932 | − | 0.128330i | ||||
\(776\) | 8.10799 | + | 21.2415i | 0.291060 | + | 0.762524i | ||||
\(777\) | 35.8615 | − | 1.82311i | 1.28652 | − | 0.0654038i | ||||
\(778\) | −39.2437 | + | 10.1229i | −1.40696 | + | 0.362922i | ||||
\(779\) | 5.47389 | + | 41.5783i | 0.196123 | + | 1.48970i | ||||
\(780\) | 43.0434 | + | 37.0252i | 1.54120 | + | 1.32571i | ||||
\(781\) | −51.9109 | − | 6.83420i | −1.85752 | − | 0.244547i | ||||
\(782\) | −2.26621 | + | 0.913957i | −0.0810397 | + | 0.0326830i | ||||
\(783\) | 33.9191 | − | 27.0881i | 1.21217 | − | 0.968049i | ||||
\(784\) | 17.2139 | + | 22.0835i | 0.614781 | + | 0.788698i | ||||
\(785\) | −49.8407 | −1.77889 | ||||||||
\(786\) | −1.37646 | − | 16.2745i | −0.0490967 | − | 0.580493i | ||||
\(787\) | −2.05377 | + | 15.6000i | −0.0732091 | + | 0.556079i | 0.915056 | + | 0.403328i | \(0.132147\pi\) |
−0.988265 | + | 0.152751i | \(0.951187\pi\) | |||||||
\(788\) | 18.1132 | + | 46.1527i | 0.645256 | + | 1.64412i | ||||
\(789\) | −45.8077 | − | 7.77215i | −1.63080 | − | 0.276696i | ||||
\(790\) | 82.1646 | − | 21.1942i | 2.92329 | − | 0.754057i | ||||
\(791\) | −26.0581 | + | 9.50493i | −0.926520 | + | 0.337956i | ||||
\(792\) | 5.21334 | + | 32.4286i | 0.185248 | + | 1.15230i | ||||
\(793\) | −2.88139 | + | 10.7535i | −0.102321 | + | 0.381868i | ||||
\(794\) | −19.1884 | + | 10.8404i | −0.680970 | + | 0.384710i | ||||
\(795\) | 38.9795 | − | 14.4734i | 1.38246 | − | 0.513319i | ||||
\(796\) | 4.36792 | − | 7.24881i | 0.154817 | − | 0.256927i | ||||
\(797\) | 17.1385 | + | 41.3759i | 0.607076 | + | 1.46561i | 0.866165 | + | 0.499758i | \(0.166578\pi\) |
−0.259089 | + | 0.965853i | \(0.583422\pi\) | |||||||
\(798\) | 17.2961 | + | 37.3049i | 0.612274 | + | 1.32058i | ||||
\(799\) | − | 6.09659i | − | 0.215682i | ||||||
\(800\) | −10.2754 | + | 57.2245i | −0.363291 | + | 2.02319i | ||||
\(801\) | −2.19286 | − | 4.54814i | −0.0774809 | − | 0.160701i | ||||
\(802\) | −3.73829 | − | 30.6046i | −0.132004 | − | 1.08069i | ||||
\(803\) | −29.0699 | − | 22.3061i | −1.02585 | − | 0.787165i | ||||
\(804\) | −1.95711 | − | 9.36942i | −0.0690221 | − | 0.330434i | ||||
\(805\) | −1.69746 | − | 7.63159i | −0.0598275 | − | 0.268978i | ||||
\(806\) | −4.04650 | + | 6.85976i | −0.142532 | + | 0.241625i | ||||
\(807\) | 6.11886 | − | 9.74310i | 0.215394 | − | 0.342973i | ||||
\(808\) | 15.7789 | + | 9.71024i | 0.555101 | + | 0.341605i | ||||
\(809\) | −1.13598 | + | 0.304386i | −0.0399391 | + | 0.0107016i | −0.278733 | − | 0.960369i | \(-0.589915\pi\) |
0.238794 | + | 0.971070i | \(0.423248\pi\) | |||||||
\(810\) | 45.4290 | + | 20.2780i | 1.59621 | + | 0.712498i | ||||
\(811\) | 12.4037 | − | 29.9453i | 0.435554 | − | 1.05152i | −0.541913 | − | 0.840434i | \(-0.682300\pi\) |
0.977467 | − | 0.211086i | \(-0.0677002\pi\) | |||||||
\(812\) | −2.72327 | + | 44.1208i | −0.0955681 | + | 1.54834i | ||||
\(813\) | −4.44243 | − | 47.2567i | −0.155803 | − | 1.65737i | ||||
\(814\) | −39.7808 | + | 16.0435i | −1.39432 | + | 0.562323i | ||||
\(815\) | 9.54446 | + | 5.51050i | 0.334328 | + | 0.193024i | ||||
\(816\) | 8.67663 | + | 13.2459i | 0.303743 | + | 0.463698i | ||||
\(817\) | −26.8458 | + | 15.4994i | −0.939214 | + | 0.542256i | ||||
\(818\) | −18.3310 | − | 2.58799i | −0.640929 | − | 0.0904868i | ||||
\(819\) | −3.89430 | + | 33.0542i | −0.136078 | + | 1.15501i | ||||
\(820\) | −51.3448 | + | 5.78475i | −1.79304 | + | 0.202012i | ||||
\(821\) | −14.2118 | + | 1.87102i | −0.495995 | + | 0.0652989i | −0.374374 | − | 0.927278i | \(-0.622142\pi\) |
−0.121621 | + | 0.992577i | \(0.538809\pi\) | |||||||
\(822\) | −23.2063 | − | 14.8785i | −0.809413 | − | 0.518947i | ||||
\(823\) | 42.2194 | − | 11.3126i | 1.47167 | − | 0.394334i | 0.568170 | − | 0.822912i | \(-0.307652\pi\) |
0.903505 | + | 0.428577i | \(0.140985\pi\) | |||||||
\(824\) | −2.54793 | − | 24.6888i | −0.0887613 | − | 0.860076i | ||||
\(825\) | 60.9140 | − | 32.2120i | 2.12075 | − | 1.12148i | ||||
\(826\) | 5.96009 | + | 8.67071i | 0.207378 | + | 0.301692i | ||||
\(827\) | 7.26694 | − | 17.5440i | 0.252696 | − | 0.610063i | −0.745724 | − | 0.666255i | \(-0.767896\pi\) |
0.998420 | + | 0.0561924i | \(0.0178960\pi\) | |||||||
\(828\) | −1.57601 | + | 4.25341i | −0.0547702 | + | 0.147816i | ||||
\(829\) | −2.42187 | + | 18.3959i | −0.0841150 | + | 0.638917i | 0.896510 | + | 0.443023i | \(0.146094\pi\) |
−0.980625 | + | 0.195894i | \(0.937239\pi\) | |||||||
\(830\) | 5.33377 | − | 0.651508i | 0.185138 | − | 0.0226142i | ||||
\(831\) | 49.0810 | − | 11.2143i | 1.70260 | − | 0.389021i | ||||
\(832\) | 30.2235 | + | 14.5558i | 1.04781 | + | 0.504631i | ||||
\(833\) | −2.80009 | − | 15.7518i | −0.0970175 | − | 0.545768i | ||||
\(834\) | −51.4658 | + | 18.5638i | −1.78211 | + | 0.642811i | ||||
\(835\) | 17.6504 | − | 23.0025i | 0.610818 | − | 0.796034i | ||||
\(836\) | −34.0771 | − | 35.3766i | −1.17858 | − | 1.22352i | ||||
\(837\) | −1.67513 | + | 6.77452i | −0.0579009 | + | 0.234162i | ||||
\(838\) | 16.7281 | + | 0.156480i | 0.577864 | + | 0.00540551i | ||||
\(839\) | 31.5880 | + | 31.5880i | 1.09054 | + | 1.09054i | 0.995471 | + | 0.0950690i | \(0.0303072\pi\) |
0.0950690 | + | 0.995471i | \(0.469693\pi\) | |||||||
\(840\) | −46.3530 | + | 20.4465i | −1.59933 | + | 0.705470i | ||||
\(841\) | −28.8413 | + | 28.8413i | −0.994528 | + | 0.994528i | ||||
\(842\) | −10.7367 | + | 10.5377i | −0.370012 | + | 0.363153i | ||||
\(843\) | 17.4489 | − | 6.47893i | 0.600973 | − | 0.223146i | ||||
\(844\) | −20.4842 | − | 8.93736i | −0.705095 | − | 0.307637i | ||||
\(845\) | −14.2127 | − | 10.9058i | −0.488931 | − | 0.375170i | ||||
\(846\) | −8.37112 | − | 7.61585i | −0.287805 | − | 0.261838i | ||||
\(847\) | 0.925818 | + | 10.4980i | 0.0318115 | + | 0.360714i | ||||
\(848\) | 20.0361 | − | 14.2159i | 0.688043 | − | 0.488176i | ||||
\(849\) | −2.99334 | + | 0.683937i | −0.102731 | + | 0.0234727i | ||||
\(850\) | 20.4688 | − | 26.1650i | 0.702073 | − | 0.897451i | ||||
\(851\) | −5.87313 | − | 0.773213i | −0.201328 | − | 0.0265054i | ||||
\(852\) | −20.3212 | + | 42.2215i | −0.696194 | + | 1.44649i | ||||
\(853\) | −33.0541 | − | 13.6915i | −1.13175 | − | 0.468787i | −0.263375 | − | 0.964693i | \(-0.584836\pi\) |
−0.868376 | + | 0.495907i | \(0.834836\pi\) | |||||||
\(854\) | −7.55424 | − | 6.45103i | −0.258501 | − | 0.220750i | ||||
\(855\) | −73.0967 | + | 13.8656i | −2.49985 | + | 0.474194i | ||||
\(856\) | 13.8572 | − | 7.49012i | 0.473630 | − | 0.256007i | ||||
\(857\) | 6.08290 | + | 22.7017i | 0.207788 | + | 0.775476i | 0.988582 | + | 0.150686i | \(0.0481484\pi\) |
−0.780794 | + | 0.624789i | \(0.785185\pi\) | |||||||
\(858\) | −8.49309 | − | 38.8407i | −0.289949 | − | 1.32600i | ||||
\(859\) | −5.41395 | − | 41.1230i | −0.184721 | − | 1.40310i | −0.792926 | − | 0.609318i | \(-0.791443\pi\) |
0.608204 | − | 0.793781i | \(-0.291890\pi\) | |||||||
\(860\) | −18.4743 | − | 33.4274i | −0.629969 | − | 1.13986i | ||||
\(861\) | −19.6351 | − | 23.0627i | −0.669161 | − | 0.785976i | ||||
\(862\) | 1.64800 | + | 2.18983i | 0.0561311 | + | 0.0745858i | ||||
\(863\) | −8.23150 | − | 14.2574i | −0.280203 | − | 0.485327i | 0.691231 | − | 0.722634i | \(-0.257069\pi\) |
−0.971435 | + | 0.237307i | \(0.923735\pi\) | |||||||
\(864\) | 29.0265 | + | 4.63297i | 0.987500 | + | 0.157617i | ||||
\(865\) | 0.487937 | − | 0.845132i | 0.0165904 | − | 0.0287354i | ||||
\(866\) | 18.7158 | − | 44.0150i | 0.635990 | − | 1.49569i | ||||
\(867\) | 1.90905 | + | 20.3076i | 0.0648346 | + | 0.689684i | ||||
\(868\) | −3.97068 | − | 5.89387i | −0.134774 | − | 0.200051i | ||||
\(869\) | −54.8968 | − | 22.7390i | −1.86225 | − | 0.771367i | ||||
\(870\) | −76.2108 | − | 24.2715i | −2.58379 | − | 0.822882i | ||||
\(871\) | 2.99876 | + | 11.1915i | 0.101609 | + | 0.379211i | ||||
\(872\) | −6.53172 | − | 27.4339i | −0.221192 | − | 0.929030i | ||||
\(873\) | −15.7387 | − | 18.2716i | −0.532673 | − | 0.618399i | ||||
\(874\) | −1.69436 | − | 6.56858i | −0.0573124 | − | 0.222186i | ||||
\(875\) | 36.9012 | + | 40.2143i | 1.24749 | + | 1.35949i | ||||
\(876\) | −27.0897 | + | 18.4783i | −0.915275 | + | 0.624323i | ||||
\(877\) | 16.2169 | − | 21.1343i | 0.547605 | − | 0.713653i | −0.434776 | − | 0.900538i | \(-0.643173\pi\) |
0.982382 | + | 0.186885i | \(0.0598393\pi\) | |||||||
\(878\) | 4.77898 | − | 6.10891i | 0.161283 | − | 0.206166i | ||||
\(879\) | 16.0466 | + | 17.2862i | 0.541240 | + | 0.583047i | ||||
\(880\) | 44.3643 | − | 41.1627i | 1.49552 | − | 1.38760i | ||||
\(881\) | 30.6279 | 1.03188 | 0.515940 | − | 0.856625i | \(-0.327443\pi\) | ||||
0.515940 | + | 0.856625i | \(0.327443\pi\) | |||||||
\(882\) | −25.1264 | − | 15.8324i | −0.846050 | − | 0.533104i | ||||
\(883\) | 3.27997 | − | 1.35861i | 0.110380 | − | 0.0457208i | −0.326810 | − | 0.945090i | \(-0.605974\pi\) |
0.437190 | + | 0.899369i | \(0.355974\pi\) | |||||||
\(884\) | −11.3820 | − | 15.4223i | −0.382818 | − | 0.518709i | ||||
\(885\) | −17.8468 | + | 6.62668i | −0.599915 | + | 0.222753i | ||||
\(886\) | −23.6647 | − | 6.57880i | −0.795032 | − | 0.221019i | ||||
\(887\) | 1.15813 | + | 0.310320i | 0.0388862 | + | 0.0104195i | 0.278210 | − | 0.960520i | \(-0.410259\pi\) |
−0.239323 | + | 0.970940i | \(0.576926\pi\) | |||||||
\(888\) | 2.51902 | + | 38.3043i | 0.0845328 | + | 1.28541i | ||||
\(889\) | 3.21485 | + | 8.81364i | 0.107823 | + | 0.295600i | ||||
\(890\) | −4.72689 | + | 8.01317i | −0.158446 | + | 0.268602i | ||||
\(891\) | −16.8797 | − | 30.4749i | −0.565490 | − | 1.02095i | ||||
\(892\) | −19.4380 | + | 18.7240i | −0.650833 | + | 0.626925i | ||||
\(893\) | 16.7799 | + | 2.20912i | 0.561519 | + | 0.0739254i | ||||
\(894\) | 13.0485 | + | 11.0134i | 0.436406 | + | 0.368342i | ||||
\(895\) | 3.03792i | 0.101546i | ||||||||
\(896\) | −23.3320 | + | 18.7515i | −0.779466 | + | 0.626444i | ||||
\(897\) | 1.61722 | − | 5.24720i | 0.0539974 | − | 0.175199i | ||||
\(898\) | 1.03940 | − | 2.44441i | 0.0346853 | − | 0.0815711i | ||||
\(899\) | 1.46444 | − | 11.1235i | 0.0488417 | − | 0.370990i | ||||
\(900\) | −10.3571 | − | 60.7905i | −0.345237 | − | 2.02635i | ||||
\(901\) | −13.9171 | + | 1.83222i | −0.463646 | + | 0.0610402i | ||||
\(902\) | 31.1640 | + | 18.3834i | 1.03765 | + | 0.612099i | ||||
\(903\) | 10.1956 | − | 19.9327i | 0.339287 | − | 0.663318i | ||||
\(904\) | −10.5744 | − | 27.7031i | −0.351700 | − | 0.921390i | ||||
\(905\) | 3.65437 | − | 13.6383i | 0.121475 | − | 0.453352i | ||||
\(906\) | −13.8198 | − | 8.86042i | −0.459131 | − | 0.294368i | ||||
\(907\) | −2.30070 | − | 2.99833i | −0.0763935 | − | 0.0995580i | 0.753593 | − | 0.657341i | \(-0.228319\pi\) |
−0.829987 | + | 0.557783i | \(0.811652\pi\) | |||||||
\(908\) | 12.2903 | − | 9.07054i | 0.407870 | − | 0.301016i | ||||
\(909\) | −19.2388 | − | 4.00492i | −0.638111 | − | 0.132835i | ||||
\(910\) | 54.6399 | − | 27.8452i | 1.81129 | − | 0.923058i | ||||
\(911\) | − | 5.35431i | − | 0.177396i | −0.996059 | − | 0.0886980i | \(-0.971729\pi\) | ||
0.996059 | − | 0.0886980i | \(-0.0282706\pi\) | |||||||
\(912\) | −39.6012 | + | 19.0814i | −1.31133 | + | 0.631849i | ||||
\(913\) | −3.25866 | − | 1.88139i | −0.107846 | − | 0.0622649i | ||||
\(914\) | −27.7739 | − | 21.7275i | −0.918681 | − | 0.718681i | ||||
\(915\) | 14.6565 | − | 10.4045i | 0.484530 | − | 0.343961i | ||||
\(916\) | −17.3262 | − | 13.8174i | −0.572475 | − | 0.456541i | ||||
\(917\) | −16.8284 | − | 5.29311i | −0.555724 | − | 0.174794i | ||||
\(918\) | −13.4265 | − | 10.0900i | −0.443140 | − | 0.333019i | ||||
\(919\) | −9.73647 | + | 36.3370i | −0.321177 | + | 1.19865i | 0.596923 | + | 0.802298i | \(0.296390\pi\) |
−0.918100 | + | 0.396349i | \(0.870277\pi\) | |||||||
\(920\) | 8.13061 | − | 1.93581i | 0.268058 | − | 0.0638218i | ||||
\(921\) | −34.6570 | − | 1.28876i | −1.14199 | − | 0.0424660i | ||||
\(922\) | −33.2993 | − | 0.311491i | −1.09665 | − | 0.0102584i | ||||
\(923\) | 21.7059 | − | 52.4026i | 0.714457 | − | 1.72485i | ||||
\(924\) | 34.5447 | + | 8.07799i | 1.13644 | + | 0.265746i | ||||
\(925\) | 74.4034 | − | 30.8189i | 2.44637 | − | 1.01332i | ||||
\(926\) | 8.34895 | + | 3.55010i | 0.274364 | + | 0.116664i | ||||
\(927\) | 11.4332 | + | 23.7132i | 0.375515 | + | 0.778844i | ||||
\(928\) | −47.2052 | − | 2.20940i | −1.54959 | − | 0.0725271i | ||||
\(929\) | 39.5134 | − | 22.8131i | 1.29639 | − | 0.748472i | 0.316613 | − | 0.948555i | \(-0.397454\pi\) |
0.979779 | + | 0.200082i | \(0.0641209\pi\) | |||||||
\(930\) | 12.0957 | − | 4.36292i | 0.396632 | − | 0.143066i | ||||
\(931\) | 44.3691 | − | 1.99911i | 1.45414 | − | 0.0655181i | ||||
\(932\) | 34.8012 | − | 19.2336i | 1.13995 | − | 0.630016i | ||||
\(933\) | 0.366431 | − | 2.15968i | 0.0119964 | − | 0.0707048i | ||||
\(934\) | −44.8214 | + | 25.3216i | −1.46660 | + | 0.828549i | ||||
\(935\) | −33.4014 | + | 8.94988i | −1.09234 | + | 0.292692i | ||||
\(936\) | −35.3945 | − | 3.63711i | −1.15691 | − | 0.118883i | ||||
\(937\) | 32.4597 | − | 32.4597i | 1.06041 | − | 1.06041i | 0.0623595 | − | 0.998054i | \(-0.480137\pi\) |
0.998054 | − | 0.0623595i | \(-0.0198625\pi\) | |||||||
\(938\) | −10.1656 | − | 1.88335i | −0.331917 | − | 0.0614936i | ||||
\(939\) | 17.5530 | − | 21.1956i | 0.572820 | − | 0.691691i | ||||
\(940\) | −3.10807 | + | 20.6196i | −0.101374 | + | 0.672537i | ||||
\(941\) | 5.16834 | − | 39.2575i | 0.168483 | − | 1.27976i | −0.673069 | − | 0.739580i | \(-0.735024\pi\) |
0.841552 | − | 0.540176i | \(-0.181642\pi\) | |||||||
\(942\) | 25.6372 | − | 17.8412i | 0.835305 | − | 0.581297i | ||||
\(943\) | 2.49843 | + | 4.32741i | 0.0813601 | + | 0.140920i | ||||
\(944\) | −9.17357 | + | 6.50878i | −0.298574 | + | 0.211843i | ||||
\(945\) | 38.8806 | − | 37.0916i | 1.26479 | − | 1.20659i | ||||
\(946\) | −3.73878 | + | 26.4822i | −0.121558 | + | 0.861011i | ||||
\(947\) | −22.5047 | + | 29.3287i | −0.731305 | + | 0.953055i | −0.999948 | − | 0.0101847i | \(-0.996758\pi\) |
0.268643 | + | 0.963240i | \(0.413425\pi\) | |||||||
\(948\) | −34.6773 | + | 40.3139i | −1.12627 | + | 1.30934i | ||||
\(949\) | 31.4913 | − | 24.1641i | 1.02225 | − | 0.784400i | ||||
\(950\) | 64.5982 | + | 65.8181i | 2.09584 | + | 2.13542i | ||||
\(951\) | −45.7229 | + | 24.1788i | −1.48267 | + | 0.784050i | ||||
\(952\) | 16.7930 | − | 3.24357i | 0.544265 | − | 0.105125i | ||||
\(953\) | −8.04085 | + | 8.04085i | −0.260469 | + | 0.260469i | −0.825244 | − | 0.564776i | \(-0.808963\pi\) |
0.564776 | + | 0.825244i | \(0.308963\pi\) | |||||||
\(954\) | −14.8694 | + | 21.3981i | −0.481415 | + | 0.692790i | ||||
\(955\) | 11.4592 | − | 8.79293i | 0.370810 | − | 0.284532i | ||||
\(956\) | −37.0050 | + | 35.6457i | −1.19683 | + | 1.15287i | ||||
\(957\) | 32.4210 | + | 45.6708i | 1.04802 | + | 1.47633i | ||||
\(958\) | −20.9833 | + | 15.7914i | −0.677939 | + | 0.510197i | ||||
\(959\) | −24.3784 | + | 17.0952i | −0.787219 | + | 0.552034i | ||||
\(960\) | −22.5929 | − | 49.2229i | −0.729181 | − | 1.58866i | ||||
\(961\) | −14.5981 | − | 25.2847i | −0.470908 | − | 0.815636i | ||||
\(962\) | −5.63397 | − | 46.1242i | −0.181646 | − | 1.48710i | ||||
\(963\) | −11.1272 | + | 12.4629i | −0.358569 | + | 0.401613i | ||||
\(964\) | −4.74870 | − | 19.1483i | −0.152945 | − | 0.616726i | ||||
\(965\) | 62.0236 | + | 25.6910i | 1.99661 | + | 0.827024i | ||||
\(966\) | 3.60498 | + | 3.31793i | 0.115988 | + | 0.106753i | ||||
\(967\) | 14.3323 | − | 14.3323i | 0.460896 | − | 0.460896i | −0.438053 | − | 0.898949i | \(-0.644332\pi\) |
0.898949 | + | 0.438053i | \(0.144332\pi\) | |||||||
\(968\) | −11.2068 | + | 1.15656i | −0.360201 | + | 0.0371733i | ||||
\(969\) | 25.0999 | + | 0.933366i | 0.806325 | + | 0.0299840i | ||||
\(970\) | −11.9014 | + | 42.8109i | −0.382132 | + | 1.37457i | ||||
\(971\) | 1.70550 | + | 12.9545i | 0.0547320 | + | 0.415731i | 0.996776 | + | 0.0802403i | \(0.0255688\pi\) |
−0.942044 | + | 0.335491i | \(0.891098\pi\) | |||||||
\(972\) | −30.6267 | + | 5.83128i | −0.982353 | + | 0.187038i | ||||
\(973\) | −2.53658 | + | 59.0406i | −0.0813191 | + | 1.89276i | ||||
\(974\) | −5.47962 | + | 38.8128i | −0.175578 | + | 1.24364i | ||||
\(975\) | 16.6272 | + | 72.7710i | 0.532497 | + | 2.33054i | ||||
\(976\) | 6.77556 | − | 8.17751i | 0.216880 | − | 0.261756i | ||||
\(977\) | −0.973380 | + | 1.68594i | −0.0311412 | + | 0.0539381i | −0.881176 | − | 0.472788i | \(-0.843247\pi\) |
0.850035 | + | 0.526727i | \(0.176581\pi\) | |||||||
\(978\) | −6.88207 | + | 0.582069i | −0.220064 | + | 0.0186125i | ||||
\(979\) | 6.01892 | − | 2.49312i | 0.192365 | − | 0.0796804i | ||||
\(980\) | 1.43998 | + | 54.7025i | 0.0459986 | + | 1.74741i | ||||
\(981\) | 16.3962 | + | 25.0172i | 0.523491 | + | 0.798737i | ||||
\(982\) | 21.8878 | + | 22.3012i | 0.698469 | + | 0.711660i | ||||
\(983\) | −7.37595 | − | 27.5274i | −0.235256 | − | 0.877988i | −0.978033 | − | 0.208449i | \(-0.933158\pi\) |
0.742777 | − | 0.669539i | \(-0.233508\pi\) | |||||||
\(984\) | 24.3401 | − | 21.3552i | 0.775935 | − | 0.680778i | ||||
\(985\) | −25.0785 | + | 93.5942i | −0.799067 | + | 2.98216i | ||||
\(986\) | 23.2569 | + | 13.7191i | 0.740652 | + | 0.436904i | ||||
\(987\) | −11.0413 | + | 5.24522i | −0.351449 | + | 0.166957i | ||||
\(988\) | 46.5719 | − | 25.7389i | 1.48165 | − | 0.818864i | ||||
\(989\) | −2.24849 | + | 2.93029i | −0.0714978 | + | 0.0931778i | ||||
\(990\) | −29.4360 | + | 57.0430i | −0.935539 | + | 1.81295i | ||||
\(991\) | 37.2880 | + | 21.5282i | 1.18449 | + | 0.683867i | 0.957050 | − | 0.289924i | \(-0.0936301\pi\) |
0.227443 | + | 0.973791i | \(0.426963\pi\) | |||||||
\(992\) | 6.23697 | − | 4.33808i | 0.198024 | − | 0.137734i | ||||
\(993\) | 28.8747 | + | 8.89937i | 0.916312 | + | 0.282413i | ||||
\(994\) | 33.8684 | + | 37.6095i | 1.07424 | + | 1.19290i | ||||
\(995\) | 15.2807 | − | 6.32949i | 0.484432 | − | 0.200658i | ||||
\(996\) | −2.51038 | + | 2.24442i | −0.0795445 | + | 0.0711172i | ||||
\(997\) | 2.58706 | + | 3.37153i | 0.0819332 | + | 0.106777i | 0.832521 | − | 0.553993i | \(-0.186896\pi\) |
−0.750588 | + | 0.660770i | \(0.770230\pi\) | |||||||
\(998\) | −0.175236 | − | 0.310183i | −0.00554700 | − | 0.00981867i | ||||
\(999\) | −16.3077 | − | 37.3071i | −0.515953 | − | 1.18035i |
(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 | 672.2.ch.a.11.18 | ✓ | 992 | |
3.2 | odd | 2 | inner | 672.2.ch.a.11.107 | yes | 992 | |
7.2 | even | 3 | inner | 672.2.ch.a.107.66 | yes | 992 | |
21.2 | odd | 6 | inner | 672.2.ch.a.107.59 | yes | 992 | |
32.3 | odd | 8 | inner | 672.2.ch.a.515.59 | yes | 992 | |
96.35 | even | 8 | inner | 672.2.ch.a.515.66 | yes | 992 | |
224.163 | odd | 24 | inner | 672.2.ch.a.611.107 | yes | 992 | |
672.611 | even | 24 | inner | 672.2.ch.a.611.18 | yes | 992 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
672.2.ch.a.11.18 | ✓ | 992 | 1.1 | even | 1 | trivial | |
672.2.ch.a.11.107 | yes | 992 | 3.2 | odd | 2 | inner | |
672.2.ch.a.107.59 | yes | 992 | 21.2 | odd | 6 | inner | |
672.2.ch.a.107.66 | yes | 992 | 7.2 | even | 3 | inner | |
672.2.ch.a.515.59 | yes | 992 | 32.3 | odd | 8 | inner | |
672.2.ch.a.515.66 | yes | 992 | 96.35 | even | 8 | inner | |
672.2.ch.a.611.18 | yes | 992 | 672.611 | even | 24 | inner | |
672.2.ch.a.611.107 | yes | 992 | 224.163 | odd | 24 | inner |