Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [731,2,Mod(3,731)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(731, base_ring=CyclotomicField(336))
chi = DirichletCharacter(H, H._module([21, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("731.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 731 = 17 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 731.bm (of order \(336\), degree \(96\), 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: | \(5.83706438776\) |
Analytic rank: | \(0\) |
Dimension: | \(6144\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{336})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{336}]$ |
Embedding invariants
Embedding label | 3.5 | ||
Character | \(\chi\) | \(=\) | 731.3 |
Dual form | 731.2.bm.a.244.5 |
$q$-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 \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).
\(n\) | \(173\) | \(562\) |
\(\chi(n)\) | \(e\left(\frac{1}{16}\right)\) | \(e\left(\frac{1}{42}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.136402 | + | 2.42887i | −0.0964509 | + | 1.71747i | 0.461120 | + | 0.887338i | \(0.347448\pi\) |
−0.557571 | + | 0.830130i | \(0.688266\pi\) | |||||||
\(3\) | −0.519679 | − | 0.144469i | −0.300037 | − | 0.0834090i | 0.114554 | − | 0.993417i | \(-0.463456\pi\) |
−0.414591 | + | 0.910008i | \(0.636075\pi\) | |||||||
\(4\) | −3.89336 | − | 0.438676i | −1.94668 | − | 0.219338i | ||||
\(5\) | −2.97658 | + | 0.887760i | −1.33117 | + | 0.397018i | −0.871204 | − | 0.490921i | \(-0.836660\pi\) |
−0.459961 | + | 0.887939i | \(0.652137\pi\) | |||||||
\(6\) | 0.421780 | − | 1.24253i | 0.172191 | − | 0.507259i | ||||
\(7\) | 0.222665 | − | 3.39721i | 0.0841594 | − | 1.28402i | −0.721820 | − | 0.692081i | \(-0.756694\pi\) |
0.805979 | − | 0.591944i | \(-0.201639\pi\) | |||||||
\(8\) | 0.781566 | − | 4.59997i | 0.276325 | − | 1.62633i | ||||
\(9\) | −2.32038 | − | 1.39816i | −0.773459 | − | 0.466055i | ||||
\(10\) | −1.75024 | − | 7.35080i | −0.553474 | − | 2.32453i | ||||
\(11\) | 2.77234 | + | 1.43223i | 0.835893 | + | 0.431832i | 0.822970 | − | 0.568084i | \(-0.192315\pi\) |
0.0129221 | + | 0.999917i | \(0.495887\pi\) | |||||||
\(12\) | 1.95992 | + | 0.790439i | 0.565781 | + | 0.228180i | ||||
\(13\) | 4.12878 | + | 0.154488i | 1.14512 | + | 0.0428473i | 0.603204 | − | 0.797587i | \(-0.293890\pi\) |
0.541914 | + | 0.840434i | \(0.317700\pi\) | |||||||
\(14\) | 8.22100 | + | 1.00421i | 2.19715 | + | 0.268386i | ||||
\(15\) | 1.67512 | − | 0.0313283i | 0.432514 | − | 0.00808893i | ||||
\(16\) | 3.42658 | + | 0.782094i | 0.856644 | + | 0.195523i | ||||
\(17\) | −3.54420 | − | 2.10681i | −0.859595 | − | 0.510976i | ||||
\(18\) | 3.71246 | − | 5.44518i | 0.875035 | − | 1.28344i | ||||
\(19\) | 3.32706 | + | 5.52156i | 0.763281 | + | 1.26673i | 0.958252 | + | 0.285924i | \(0.0923004\pi\) |
−0.194972 | + | 0.980809i | \(0.562462\pi\) | |||||||
\(20\) | 11.9783 | − | 2.15062i | 2.67843 | − | 0.480892i | ||||
\(21\) | −0.606505 | + | 1.73329i | −0.132350 | + | 0.378235i | ||||
\(22\) | −3.85684 | + | 6.53829i | −0.822281 | + | 1.39397i | ||||
\(23\) | 2.08358 | + | 3.24819i | 0.434457 | + | 0.677294i | 0.987812 | − | 0.155652i | \(-0.0497478\pi\) |
−0.553355 | + | 0.832946i | \(0.686653\pi\) | |||||||
\(24\) | −1.07072 | + | 2.27760i | −0.218559 | + | 0.464912i | ||||
\(25\) | 3.88875 | − | 2.54611i | 0.777750 | − | 0.509222i | ||||
\(26\) | −0.938406 | + | 10.0072i | −0.184037 | + | 1.96257i | ||||
\(27\) | 2.11553 | + | 2.23767i | 0.407134 | + | 0.430640i | ||||
\(28\) | −2.35719 | + | 13.1289i | −0.445467 | + | 2.48113i | ||||
\(29\) | 1.37795 | − | 1.07796i | 0.255879 | − | 0.200171i | −0.480030 | − | 0.877252i | \(-0.659374\pi\) |
0.735909 | + | 0.677081i | \(0.236755\pi\) | |||||||
\(30\) | −0.152398 | + | 4.07291i | −0.0278239 | + | 0.743608i | ||||
\(31\) | −2.33448 | − | 5.49017i | −0.419285 | − | 0.986063i | −0.986688 | − | 0.162623i | \(-0.948004\pi\) |
0.567404 | − | 0.823440i | \(-0.307948\pi\) | |||||||
\(32\) | 0.216377 | − | 0.751062i | 0.0382505 | − | 0.132770i | ||||
\(33\) | −1.23382 | − | 1.14481i | −0.214780 | − | 0.199287i | ||||
\(34\) | 5.60060 | − | 8.32101i | 0.960494 | − | 1.42704i | ||||
\(35\) | 2.35313 | + | 10.3097i | 0.397751 | + | 1.74266i | ||||
\(36\) | 8.42073 | + | 6.46145i | 1.40345 | + | 1.07691i | ||||
\(37\) | −5.72575 | − | 5.02134i | −0.941307 | − | 0.825504i | 0.0435184 | − | 0.999053i | \(-0.486143\pi\) |
−0.984825 | + | 0.173549i | \(0.944477\pi\) | |||||||
\(38\) | −13.8649 | + | 7.32784i | −2.24919 | + | 1.18873i | ||||
\(39\) | −2.12332 | − | 0.676764i | −0.340004 | − | 0.108369i | ||||
\(40\) | 1.75728 | + | 14.3860i | 0.277850 | + | 2.27463i | ||||
\(41\) | 7.39893 | − | 4.36452i | 1.15552 | − | 0.681623i | 0.200946 | − | 0.979602i | \(-0.435598\pi\) |
0.954572 | + | 0.297979i | \(0.0963127\pi\) | |||||||
\(42\) | −4.12720 | − | 1.70954i | −0.636841 | − | 0.263788i | ||||
\(43\) | 4.23255 | − | 5.00855i | 0.645457 | − | 0.763796i | ||||
\(44\) | −10.1654 | − | 6.79233i | −1.53250 | − | 1.02398i | ||||
\(45\) | 8.14802 | + | 2.10180i | 1.21463 | + | 0.313318i | ||||
\(46\) | −8.17362 | + | 4.61769i | −1.20513 | + | 0.680841i | ||||
\(47\) | 0.342795 | − | 3.04239i | 0.0500017 | − | 0.443778i | −0.943621 | − | 0.331026i | \(-0.892605\pi\) |
0.993623 | − | 0.112751i | \(-0.0359663\pi\) | |||||||
\(48\) | −1.66773 | − | 0.901471i | −0.240716 | − | 0.130116i | ||||
\(49\) | −4.55135 | − | 0.599196i | −0.650192 | − | 0.0855995i | ||||
\(50\) | 5.65373 | + | 9.79255i | 0.799558 | + | 1.38488i | ||||
\(51\) | 1.53748 | + | 1.60689i | 0.215290 | + | 0.225010i | ||||
\(52\) | −16.0071 | − | 2.41268i | −2.21978 | − | 0.334578i | ||||
\(53\) | 10.1462 | + | 3.76472i | 1.39369 | + | 0.517124i | 0.929570 | − | 0.368646i | \(-0.120178\pi\) |
0.464125 | + | 0.885770i | \(0.346369\pi\) | |||||||
\(54\) | −5.72357 | + | 4.83312i | −0.778879 | + | 0.657704i | ||||
\(55\) | −9.52356 | − | 1.80195i | −1.28416 | − | 0.242976i | ||||
\(56\) | −15.4530 | − | 3.67940i | −2.06500 | − | 0.491680i | ||||
\(57\) | −0.931313 | − | 3.35010i | −0.123355 | − | 0.443731i | ||||
\(58\) | 2.43026 | + | 3.49389i | 0.319108 | + | 0.458770i | ||||
\(59\) | 9.35690 | + | 6.63908i | 1.21816 | + | 0.864334i | 0.993910 | − | 0.110197i | \(-0.0351480\pi\) |
0.224255 | + | 0.974531i | \(0.428005\pi\) | |||||||
\(60\) | −6.53558 | − | 0.612862i | −0.843740 | − | 0.0791202i | ||||
\(61\) | 0.966839 | − | 0.389927i | 0.123791 | − | 0.0499251i | −0.311299 | − | 0.950312i | \(-0.600764\pi\) |
0.435090 | + | 0.900387i | \(0.356716\pi\) | |||||||
\(62\) | 13.6533 | − | 4.92126i | 1.73397 | − | 0.625001i | ||||
\(63\) | −5.26653 | + | 7.57149i | −0.663520 | + | 0.953918i | ||||
\(64\) | 8.42964 | + | 2.94966i | 1.05371 | + | 0.368707i | ||||
\(65\) | −12.4268 | + | 3.20552i | −1.54135 | + | 0.397596i | ||||
\(66\) | 2.94890 | − | 2.84062i | 0.362984 | − | 0.349656i | ||||
\(67\) | −0.206960 | − | 1.37309i | −0.0252842 | − | 0.167750i | 0.972625 | − | 0.232380i | \(-0.0746513\pi\) |
−0.997909 | + | 0.0646303i | \(0.979413\pi\) | |||||||
\(68\) | 12.8746 | + | 9.75733i | 1.56128 | + | 1.18325i | ||||
\(69\) | −0.613534 | − | 1.98903i | −0.0738608 | − | 0.239451i | ||||
\(70\) | −25.3619 | + | 4.30916i | −3.03133 | + | 0.515044i | ||||
\(71\) | −2.94604 | − | 1.88977i | −0.349630 | − | 0.224274i | 0.353337 | − | 0.935496i | \(-0.385047\pi\) |
−0.702967 | + | 0.711222i | \(0.748142\pi\) | |||||||
\(72\) | −8.24504 | + | 9.58091i | −0.971687 | + | 1.12912i | ||||
\(73\) | 0.962778 | − | 4.04356i | 0.112685 | − | 0.473262i | −0.887244 | − | 0.461301i | \(-0.847383\pi\) |
0.999928 | − | 0.0119616i | \(-0.00380759\pi\) | |||||||
\(74\) | 12.9772 | − | 13.2221i | 1.50857 | − | 1.53704i | ||||
\(75\) | −2.38874 | + | 0.761358i | −0.275827 | + | 0.0879141i | ||||
\(76\) | −10.5313 | − | 22.9569i | −1.20802 | − | 2.63334i | ||||
\(77\) | 5.48288 | − | 9.09932i | 0.624832 | − | 1.03696i | ||||
\(78\) | 1.93340 | − | 5.06496i | 0.218914 | − | 0.573493i | ||||
\(79\) | 4.28652 | − | 3.75918i | 0.482271 | − | 0.422941i | −0.383378 | − | 0.923592i | \(-0.625239\pi\) |
0.865649 | + | 0.500651i | \(0.166906\pi\) | |||||||
\(80\) | −10.8938 | + | 0.714016i | −1.21796 | + | 0.0798294i | ||||
\(81\) | 3.02146 | + | 5.71687i | 0.335717 | + | 0.635208i | ||||
\(82\) | 9.59159 | + | 18.5663i | 1.05921 | + | 2.05031i | ||||
\(83\) | 0.359752 | − | 0.118380i | 0.0394879 | − | 0.0129939i | −0.292760 | − | 0.956186i | \(-0.594574\pi\) |
0.332248 | + | 0.943192i | \(0.392193\pi\) | |||||||
\(84\) | 3.12170 | − | 6.48227i | 0.340605 | − | 0.707273i | ||||
\(85\) | 12.4199 | + | 3.12468i | 1.34713 | + | 0.338919i | ||||
\(86\) | 11.5878 | + | 10.9635i | 1.24954 | + | 1.18222i | ||||
\(87\) | −0.871823 | + | 0.361121i | −0.0934692 | + | 0.0387162i | ||||
\(88\) | 8.75496 | − | 11.6333i | 0.933282 | − | 1.24011i | ||||
\(89\) | 9.99841 | − | 8.60432i | 1.05983 | − | 0.912057i | 0.0635273 | − | 0.997980i | \(-0.479765\pi\) |
0.996302 | + | 0.0859235i | \(0.0273841\pi\) | |||||||
\(90\) | −6.21640 | + | 19.5038i | −0.655267 | + | 2.05588i | ||||
\(91\) | 1.44416 | − | 13.9919i | 0.151390 | − | 1.46675i | ||||
\(92\) | −6.68724 | − | 13.5604i | −0.697193 | − | 1.41377i | ||||
\(93\) | 0.420022 | + | 3.19038i | 0.0435543 | + | 0.330827i | ||||
\(94\) | 7.34279 | + | 1.24759i | 0.757351 | + | 0.128679i | ||||
\(95\) | −14.8051 | − | 13.4817i | −1.51897 | − | 1.38319i | ||||
\(96\) | −0.220952 | + | 0.359052i | −0.0225508 | + | 0.0366456i | ||||
\(97\) | 0.715553 | − | 8.48324i | 0.0726534 | − | 0.861342i | −0.862260 | − | 0.506466i | \(-0.830952\pi\) |
0.934913 | − | 0.354876i | \(-0.115477\pi\) | |||||||
\(98\) | 2.07618 | − | 10.9729i | 0.209726 | − | 1.10843i | ||||
\(99\) | −4.43040 | − | 7.19949i | −0.445272 | − | 0.723576i | ||||
\(100\) | −16.2572 | + | 8.20703i | −1.62572 | + | 0.820703i | ||||
\(101\) | 0.442738 | + | 0.173762i | 0.0440541 | + | 0.0172899i | 0.387266 | − | 0.921968i | \(-0.373420\pi\) |
−0.343212 | + | 0.939258i | \(0.611515\pi\) | |||||||
\(102\) | −4.11264 | + | 3.51515i | −0.407212 | + | 0.348051i | ||||
\(103\) | −16.0163 | + | 4.94039i | −1.57814 | + | 0.486791i | −0.955319 | − | 0.295576i | \(-0.904488\pi\) |
−0.622818 | + | 0.782367i | \(0.714012\pi\) | |||||||
\(104\) | 3.93756 | − | 18.8715i | 0.386109 | − | 1.85051i | ||||
\(105\) | 0.266561 | − | 5.69770i | 0.0260137 | − | 0.556039i | ||||
\(106\) | −10.5280 | + | 24.1304i | −1.02257 | + | 2.34375i | ||||
\(107\) | 9.85439 | + | 5.81296i | 0.952660 | + | 0.561960i | 0.899639 | − | 0.436633i | \(-0.143829\pi\) |
0.0530208 | + | 0.998593i | \(0.483115\pi\) | |||||||
\(108\) | −7.25491 | − | 9.64009i | −0.698104 | − | 0.927618i | ||||
\(109\) | −10.1314 | − | 2.21296i | −0.970409 | − | 0.211964i | −0.299987 | − | 0.953943i | \(-0.596982\pi\) |
−0.670422 | + | 0.741980i | \(0.733887\pi\) | |||||||
\(110\) | 5.67574 | − | 22.8857i | 0.541161 | − | 2.18206i | ||||
\(111\) | 2.25012 | + | 3.43668i | 0.213572 | + | 0.326195i | ||||
\(112\) | 3.41991 | − | 11.4667i | 0.323152 | − | 1.08350i | ||||
\(113\) | −0.406135 | + | 14.4752i | −0.0382060 | + | 1.36171i | 0.712777 | + | 0.701391i | \(0.247437\pi\) |
−0.750983 | + | 0.660322i | \(0.770420\pi\) | |||||||
\(114\) | 8.26397 | − | 1.80507i | 0.773991 | − | 0.169061i | ||||
\(115\) | −9.08556 | − | 7.81875i | −0.847233 | − | 0.729103i | ||||
\(116\) | −5.83773 | + | 3.59240i | −0.542019 | + | 0.333546i | ||||
\(117\) | −9.36434 | − | 6.13119i | −0.865733 | − | 0.566828i | ||||
\(118\) | −17.4017 | + | 21.8211i | −1.60196 | + | 2.00879i | ||||
\(119\) | −7.94645 | + | 11.5713i | −0.728450 | + | 1.06074i | ||||
\(120\) | 1.16511 | − | 7.72998i | 0.106359 | − | 0.705647i | ||||
\(121\) | −0.730775 | − | 1.02993i | −0.0664341 | − | 0.0936301i | ||||
\(122\) | 0.815202 | + | 2.40151i | 0.0738049 | + | 0.217422i | ||||
\(123\) | −4.47560 | + | 1.19923i | −0.403552 | + | 0.108131i | ||||
\(124\) | 6.68056 | + | 22.3993i | 0.599932 | + | 2.01151i | ||||
\(125\) | 0.705158 | − | 0.835075i | 0.0630713 | − | 0.0746914i | ||||
\(126\) | −17.6718 | − | 13.8245i | −1.57433 | − | 1.23158i | ||||
\(127\) | 15.4107 | − | 13.7718i | 1.36748 | − | 1.22205i | 0.417909 | − | 0.908489i | \(-0.362763\pi\) |
0.949567 | − | 0.313563i | \(-0.101523\pi\) | |||||||
\(128\) | −7.71593 | + | 18.6279i | −0.681998 | + | 1.64649i | ||||
\(129\) | −2.92314 | + | 1.99137i | −0.257369 | + | 0.175330i | ||||
\(130\) | −6.09074 | − | 30.6202i | −0.534194 | − | 2.68557i | ||||
\(131\) | 0.527589 | + | 3.73708i | 0.0460956 | + | 0.326511i | 0.999678 | + | 0.0253780i | \(0.00807895\pi\) |
−0.953582 | + | 0.301133i | \(0.902635\pi\) | |||||||
\(132\) | 4.30149 | + | 4.99842i | 0.374397 | + | 0.435057i | ||||
\(133\) | 19.4987 | − | 10.0733i | 1.69075 | − | 0.873464i | ||||
\(134\) | 3.36328 | − | 0.315386i | 0.290543 | − | 0.0272452i | ||||
\(135\) | −8.28356 | − | 4.78251i | −0.712935 | − | 0.411613i | ||||
\(136\) | −12.4613 | + | 14.6566i | −1.06855 | + | 1.25679i | ||||
\(137\) | −16.1927 | + | 3.69589i | −1.38344 | + | 0.315761i | −0.848529 | − | 0.529148i | \(-0.822511\pi\) |
−0.534910 | + | 0.844909i | \(0.679654\pi\) | |||||||
\(138\) | 4.91477 | − | 1.21888i | 0.418373 | − | 0.103758i | ||||
\(139\) | −5.47052 | − | 7.55921i | −0.464003 | − | 0.641164i | 0.511983 | − | 0.858996i | \(-0.328911\pi\) |
−0.975986 | + | 0.217832i | \(0.930102\pi\) | |||||||
\(140\) | −4.63894 | − | 41.1717i | −0.392062 | − | 3.47965i | ||||
\(141\) | −0.617673 | + | 1.53154i | −0.0520174 | + | 0.128979i | ||||
\(142\) | 4.99184 | − | 6.89776i | 0.418906 | − | 0.578847i | ||||
\(143\) | 11.2251 | + | 6.34164i | 0.938693 | + | 0.530315i | ||||
\(144\) | −6.85746 | − | 6.60567i | −0.571455 | − | 0.550472i | ||||
\(145\) | −3.14461 | + | 4.43191i | −0.261145 | + | 0.368050i | ||||
\(146\) | 9.68993 | + | 2.89001i | 0.801944 | + | 0.239179i | ||||
\(147\) | 2.27867 | + | 0.968917i | 0.187942 | + | 0.0799149i | ||||
\(148\) | 20.0896 | + | 22.0617i | 1.65136 | + | 1.81346i | ||||
\(149\) | −1.96128 | − | 0.855699i | −0.160675 | − | 0.0701016i | 0.318016 | − | 0.948085i | \(-0.396984\pi\) |
−0.478690 | + | 0.877984i | \(0.658888\pi\) | |||||||
\(150\) | −1.52341 | − | 5.90577i | −0.124386 | − | 0.482204i | ||||
\(151\) | −11.4091 | + | 12.7668i | −0.928462 | + | 1.03895i | 0.0706782 | + | 0.997499i | \(0.477484\pi\) |
−0.999141 | + | 0.0414507i | \(0.986802\pi\) | |||||||
\(152\) | 27.9993 | − | 10.9889i | 2.27104 | − | 0.891319i | ||||
\(153\) | 5.27822 | + | 9.84397i | 0.426719 | + | 0.795838i | ||||
\(154\) | 21.3532 | + | 14.5583i | 1.72069 | + | 1.17314i | ||||
\(155\) | 11.8227 | + | 14.2694i | 0.949622 | + | 1.14615i | ||||
\(156\) | 7.96998 | + | 3.56634i | 0.638109 | + | 0.285536i | ||||
\(157\) | 11.2426 | − | 4.90510i | 0.897258 | − | 0.391470i | 0.0999151 | − | 0.994996i | \(-0.468143\pi\) |
0.797343 | + | 0.603526i | \(0.206238\pi\) | |||||||
\(158\) | 8.54585 | + | 10.9241i | 0.679871 | + | 0.869079i | ||||
\(159\) | −4.72891 | − | 3.42226i | −0.375027 | − | 0.271403i | ||||
\(160\) | 0.0226995 | + | 2.42769i | 0.00179455 | + | 0.191925i | ||||
\(161\) | 11.4987 | − | 6.35512i | 0.906226 | − | 0.500853i | ||||
\(162\) | −14.2976 | + | 6.55892i | −1.12333 | + | 0.515317i | ||||
\(163\) | 13.7129 | − | 15.0590i | 1.07408 | − | 1.17951i | 0.0910888 | − | 0.995843i | \(-0.470965\pi\) |
0.982989 | − | 0.183666i | \(-0.0587966\pi\) | |||||||
\(164\) | −30.7213 | + | 13.7469i | −2.39893 | + | 1.07345i | ||||
\(165\) | 4.68887 | + | 2.31229i | 0.365028 | + | 0.180012i | ||||
\(166\) | 0.238458 | + | 0.889938i | 0.0185079 | + | 0.0690725i | ||||
\(167\) | 3.26639 | − | 6.04287i | 0.252761 | − | 0.467611i | −0.721688 | − | 0.692218i | \(-0.756634\pi\) |
0.974449 | + | 0.224607i | \(0.0721098\pi\) | |||||||
\(168\) | 7.49906 | + | 4.14459i | 0.578565 | + | 0.319762i | ||||
\(169\) | 4.05933 | + | 0.304205i | 0.312256 | + | 0.0234004i | ||||
\(170\) | −9.28354 | + | 29.7401i | −0.712015 | + | 2.28096i | ||||
\(171\) | − | 17.4639i | − | 1.33550i | ||||||
\(172\) | −18.6760 | + | 17.6434i | −1.42403 | + | 1.34529i | ||||
\(173\) | −3.32957 | − | 0.662292i | −0.253142 | − | 0.0503531i | 0.0668878 | − | 0.997761i | \(-0.478693\pi\) |
−0.320030 | + | 0.947407i | \(0.603693\pi\) | |||||||
\(174\) | −0.758195 | − | 2.16680i | −0.0574786 | − | 0.164265i | ||||
\(175\) | −7.78379 | − | 13.7778i | −0.588399 | − | 1.04151i | ||||
\(176\) | 8.37950 | + | 7.07586i | 0.631629 | + | 0.533363i | ||||
\(177\) | −3.90345 | − | 4.80197i | −0.293401 | − | 0.360938i | ||||
\(178\) | 19.5349 | + | 25.4584i | 1.46421 | + | 1.90819i | ||||
\(179\) | −7.40779 | + | 0.975254i | −0.553684 | + | 0.0728939i | −0.402176 | − | 0.915562i | \(-0.631746\pi\) |
−0.151508 | + | 0.988456i | \(0.548413\pi\) | |||||||
\(180\) | −30.8012 | − | 11.7574i | −2.29578 | − | 0.876346i | ||||
\(181\) | −0.139590 | − | 2.98371i | −0.0103756 | − | 0.221778i | −0.997921 | − | 0.0644448i | \(-0.979472\pi\) |
0.987546 | − | 0.157333i | \(-0.0502895\pi\) | |||||||
\(182\) | 33.7876 | + | 5.41621i | 2.50450 | + | 0.401476i | ||||
\(183\) | −0.558778 | + | 0.0629592i | −0.0413061 | + | 0.00465408i | ||||
\(184\) | 16.5700 | − | 7.04575i | 1.22156 | − | 0.519420i | ||||
\(185\) | 21.5009 | + | 9.86333i | 1.58078 | + | 0.725166i | ||||
\(186\) | −7.80631 | + | 0.585002i | −0.572386 | + | 0.0428944i | ||||
\(187\) | −6.80831 | − | 10.9169i | −0.497873 | − | 0.798322i | ||||
\(188\) | −2.66925 | + | 11.6947i | −0.194675 | + | 0.852926i | ||||
\(189\) | 8.07289 | − | 6.68866i | 0.587217 | − | 0.486528i | ||||
\(190\) | 34.7647 | − | 34.1206i | 2.52210 | − | 2.47537i | ||||
\(191\) | −16.8037 | − | 12.4017i | −1.21587 | − | 0.897356i | −0.218951 | − | 0.975736i | \(-0.570263\pi\) |
−0.996924 | + | 0.0783796i | \(0.975025\pi\) | |||||||
\(192\) | −3.95458 | − | 2.75070i | −0.285397 | − | 0.198514i | ||||
\(193\) | 10.2062 | − | 7.68092i | 0.734655 | − | 0.552884i | −0.166678 | − | 0.986011i | \(-0.553304\pi\) |
0.901333 | + | 0.433127i | \(0.142590\pi\) | |||||||
\(194\) | 20.5070 | + | 2.89511i | 1.47232 | + | 0.207857i | ||||
\(195\) | 6.92104 | + | 0.129438i | 0.495626 | + | 0.00926926i | ||||
\(196\) | 17.4572 | + | 4.32945i | 1.24694 | + | 0.309247i | ||||
\(197\) | 3.18200 | + | 7.88989i | 0.226708 | + | 0.562131i | 0.997155 | − | 0.0753727i | \(-0.0240147\pi\) |
−0.770447 | + | 0.637504i | \(0.779967\pi\) | |||||||
\(198\) | 18.0909 | − | 9.77881i | 1.28567 | − | 0.694950i | ||||
\(199\) | 15.0873 | − | 5.75914i | 1.06951 | − | 0.408254i | 0.242334 | − | 0.970193i | \(-0.422087\pi\) |
0.827179 | + | 0.561939i | \(0.189944\pi\) | |||||||
\(200\) | −8.67272 | − | 19.8781i | −0.613254 | − | 1.40559i | ||||
\(201\) | −0.0908157 | + | 0.743466i | −0.00640565 | + | 0.0524400i | ||||
\(202\) | −0.482435 | + | 1.05165i | −0.0339440 | + | 0.0739938i | ||||
\(203\) | −3.35522 | − | 4.92121i | −0.235490 | − | 0.345401i | ||||
\(204\) | −5.28105 | − | 6.93066i | −0.369748 | − | 0.485243i | ||||
\(205\) | −18.1488 | + | 19.5598i | −1.26757 | + | 1.36611i | ||||
\(206\) | −9.81488 | − | 39.5754i | −0.683835 | − | 2.75735i | ||||
\(207\) | −0.293205 | − | 10.4502i | −0.0203791 | − | 0.726340i | ||||
\(208\) | 14.0268 | + | 3.75846i | 0.972581 | + | 0.260602i | ||||
\(209\) | 1.31564 | + | 20.0728i | 0.0910046 | + | 1.38846i | ||||
\(210\) | 13.8026 | + | 1.42462i | 0.952470 | + | 0.0983082i | ||||
\(211\) | −1.06823 | − | 12.6644i | −0.0735397 | − | 0.871851i | −0.932819 | − | 0.360345i | \(-0.882659\pi\) |
0.859280 | − | 0.511506i | \(-0.170912\pi\) | |||||||
\(212\) | −37.8515 | − | 19.1083i | −2.59965 | − | 1.31237i | ||||
\(213\) | 1.25798 | + | 1.40768i | 0.0861955 | + | 0.0964528i | ||||
\(214\) | −15.4631 | + | 23.1421i | −1.05703 | + | 1.58196i | ||||
\(215\) | −8.15211 | + | 18.6658i | −0.555969 | + | 1.27300i | ||||
\(216\) | 11.9466 | − | 7.98249i | 0.812866 | − | 0.543140i | ||||
\(217\) | −19.1711 | + | 6.70824i | −1.30142 | + | 0.455385i | ||||
\(218\) | 6.75693 | − | 24.3059i | 0.457637 | − | 1.64620i | ||||
\(219\) | −1.08450 | + | 1.96226i | −0.0732839 | + | 0.132597i | ||||
\(220\) | 36.2882 | + | 11.1934i | 2.44655 | + | 0.754660i | ||||
\(221\) | −14.3078 | − | 9.24610i | −0.962444 | − | 0.621960i | ||||
\(222\) | −8.65415 | + | 4.99648i | −0.580829 | + | 0.335342i | ||||
\(223\) | 5.67766 | − | 4.02851i | 0.380204 | − | 0.269769i | −0.372629 | − | 0.927980i | \(-0.621544\pi\) |
0.752833 | + | 0.658211i | \(0.228687\pi\) | |||||||
\(224\) | −2.50334 | − | 0.902315i | −0.167261 | − | 0.0602884i | ||||
\(225\) | −12.5833 | + | 0.470832i | −0.838883 | + | 0.0313888i | ||||
\(226\) | −35.1029 | − | 2.96090i | −2.33501 | − | 0.196956i | ||||
\(227\) | −0.739581 | − | 0.725878i | −0.0490877 | − | 0.0481782i | 0.675506 | − | 0.737354i | \(-0.263925\pi\) |
−0.724594 | + | 0.689176i | \(0.757973\pi\) | |||||||
\(228\) | 2.15633 | + | 13.4517i | 0.142806 | + | 0.890859i | ||||
\(229\) | −6.71241 | − | 2.20878i | −0.443569 | − | 0.145961i | 0.0821481 | − | 0.996620i | \(-0.473822\pi\) |
−0.525717 | + | 0.850660i | \(0.676203\pi\) | |||||||
\(230\) | 20.2300 | − | 21.0011i | 1.33393 | − | 1.38477i | ||||
\(231\) | −4.16390 | + | 3.93662i | −0.273965 | + | 0.259011i | ||||
\(232\) | −3.88161 | − | 7.18102i | −0.254840 | − | 0.471457i | ||||
\(233\) | 0.209718 | − | 22.4292i | 0.0137391 | − | 1.46938i | −0.671467 | − | 0.741035i | \(-0.734335\pi\) |
0.685206 | − | 0.728350i | \(-0.259712\pi\) | |||||||
\(234\) | 16.1691 | − | 21.9084i | 1.05701 | − | 1.43220i | ||||
\(235\) | 1.68055 | + | 9.36022i | 0.109627 | + | 0.610593i | ||||
\(236\) | −33.5174 | − | 29.9530i | −2.18180 | − | 1.94977i | ||||
\(237\) | −2.77070 | + | 1.33430i | −0.179976 | + | 0.0866720i | ||||
\(238\) | −27.0212 | − | 20.8792i | −1.75152 | − | 1.35340i | ||||
\(239\) | 20.7684 | − | 3.13033i | 1.34339 | − | 0.202484i | 0.562319 | − | 0.826920i | \(-0.309909\pi\) |
0.781076 | + | 0.624436i | \(0.214671\pi\) | |||||||
\(240\) | 5.76442 | + | 1.20275i | 0.372092 | + | 0.0776372i | ||||
\(241\) | 2.23500 | + | 21.6541i | 0.143969 | + | 1.39486i | 0.781244 | + | 0.624226i | \(0.214585\pi\) |
−0.637275 | + | 0.770637i | \(0.719938\pi\) | |||||||
\(242\) | 2.60124 | − | 1.63447i | 0.167214 | − | 0.105068i | ||||
\(243\) | −2.71566 | − | 12.4328i | −0.174210 | − | 0.797566i | ||||
\(244\) | −3.93530 | + | 1.09400i | −0.251932 | + | 0.0700360i | ||||
\(245\) | 14.0794 | − | 2.25695i | 0.899498 | − | 0.144191i | ||||
\(246\) | −2.30230 | − | 11.0342i | −0.146789 | − | 0.703516i | ||||
\(247\) | 12.8837 | + | 23.3113i | 0.819771 | + | 1.48326i | ||||
\(248\) | −27.0792 | + | 6.44760i | −1.71953 | + | 0.409423i | ||||
\(249\) | −0.204058 | + | 0.00954664i | −0.0129316 | + | 0.000604994i | ||||
\(250\) | 1.93210 | + | 1.82664i | 0.122197 | + | 0.115527i | ||||
\(251\) | −0.803162 | + | 2.99744i | −0.0506951 | + | 0.189197i | −0.986630 | − | 0.162976i | \(-0.947891\pi\) |
0.935935 | + | 0.352173i | \(0.114557\pi\) | |||||||
\(252\) | 23.8259 | − | 27.1682i | 1.50089 | − | 1.71144i | ||||
\(253\) | 1.12427 | + | 11.9892i | 0.0706823 | + | 0.753758i | ||||
\(254\) | 31.3479 | + | 39.3090i | 1.96694 | + | 2.46646i | ||||
\(255\) | −6.00296 | − | 3.41812i | −0.375920 | − | 0.214051i | ||||
\(256\) | −28.0995 | − | 13.5320i | −1.75622 | − | 0.845749i | ||||
\(257\) | −10.5528 | − | 25.4768i | −0.658267 | − | 1.58920i | −0.800478 | − | 0.599362i | \(-0.795421\pi\) |
0.142211 | − | 0.989836i | \(-0.454579\pi\) | |||||||
\(258\) | −4.43804 | − | 7.37155i | −0.276300 | − | 0.458933i | ||||
\(259\) | −18.3335 | + | 18.3335i | −1.13919 | + | 1.13919i | ||||
\(260\) | 49.7881 | − | 7.02892i | 3.08773 | − | 0.435915i | ||||
\(261\) | −4.70452 | + | 0.574666i | −0.291203 | + | 0.0355710i | ||||
\(262\) | −9.14884 | + | 0.771696i | −0.565217 | + | 0.0476755i | ||||
\(263\) | 15.0660 | + | 12.4827i | 0.929011 | + | 0.769716i | 0.973356 | − | 0.229300i | \(-0.0736438\pi\) |
−0.0443447 | + | 0.999016i | \(0.514120\pi\) | |||||||
\(264\) | −6.23042 | + | 4.78077i | −0.383456 | + | 0.294236i | ||||
\(265\) | −33.5433 | − | 2.19854i | −2.06055 | − | 0.135055i | ||||
\(266\) | 21.8070 | + | 48.7338i | 1.33707 | + | 2.98806i | ||||
\(267\) | −6.43902 | + | 3.02703i | −0.394062 | + | 0.185251i | ||||
\(268\) | 0.203428 | + | 5.43672i | 0.0124263 | + | 0.332101i | ||||
\(269\) | −0.480535 | − | 0.569068i | −0.0292987 | − | 0.0346967i | 0.749191 | − | 0.662354i | \(-0.230442\pi\) |
−0.778490 | + | 0.627657i | \(0.784014\pi\) | |||||||
\(270\) | 12.7460 | − | 19.4673i | 0.775696 | − | 1.18474i | ||||
\(271\) | 8.44915 | + | 9.10602i | 0.513249 | + | 0.553151i | 0.935499 | − | 0.353328i | \(-0.114950\pi\) |
−0.422250 | + | 0.906479i | \(0.638760\pi\) | |||||||
\(272\) | −10.4967 | − | 9.99104i | −0.636459 | − | 0.605796i | ||||
\(273\) | −2.77190 | + | 7.06269i | −0.167763 | + | 0.427453i | ||||
\(274\) | −6.76809 | − | 39.8341i | −0.408875 | − | 2.40647i | ||||
\(275\) | 14.4275 | − | 1.48912i | 0.870014 | − | 0.0897976i | ||||
\(276\) | 1.51617 | + | 8.01314i | 0.0912626 | + | 0.482335i | ||||
\(277\) | −4.70982 | + | 4.28883i | −0.282986 | + | 0.257691i | −0.802339 | − | 0.596869i | \(-0.796411\pi\) |
0.519353 | + | 0.854560i | \(0.326173\pi\) | |||||||
\(278\) | 19.1065 | − | 12.2561i | 1.14593 | − | 0.735070i | ||||
\(279\) | −2.25928 | + | 16.0032i | −0.135260 | + | 0.958089i | ||||
\(280\) | 49.2636 | − | 2.76658i | 2.94406 | − | 0.165335i | ||||
\(281\) | −0.449581 | + | 24.0390i | −0.0268197 | + | 1.43405i | 0.683388 | + | 0.730055i | \(0.260506\pi\) |
−0.710208 | + | 0.703992i | \(0.751399\pi\) | |||||||
\(282\) | −3.63566 | − | 1.70915i | −0.216500 | − | 0.101778i | ||||
\(283\) | 5.31841 | − | 12.5077i | 0.316146 | − | 0.743505i | −0.683758 | − | 0.729708i | \(-0.739656\pi\) |
0.999905 | − | 0.0137969i | \(-0.00439183\pi\) | |||||||
\(284\) | 10.6410 | + | 8.64990i | 0.631426 | + | 0.513277i | ||||
\(285\) | 5.74620 | + | 9.14503i | 0.340376 | + | 0.541705i | ||||
\(286\) | −16.9341 | + | 26.3993i | −1.00134 | + | 1.56103i | ||||
\(287\) | −13.1797 | − | 26.1075i | −0.777973 | − | 1.54108i | ||||
\(288\) | −1.55219 | + | 1.44022i | −0.0914634 | + | 0.0848657i | ||||
\(289\) | 8.12270 | + | 14.9339i | 0.477806 | + | 0.878465i | ||||
\(290\) | −10.3356 | − | 8.24235i | −0.606926 | − | 0.484007i | ||||
\(291\) | −1.59742 | + | 4.30519i | −0.0936424 | + | 0.252375i | ||||
\(292\) | −5.52225 | + | 15.3207i | −0.323165 | + | 0.896574i | ||||
\(293\) | 17.3490 | + | 10.9011i | 1.01354 | + | 0.636848i | 0.932990 | − | 0.359903i | \(-0.117190\pi\) |
0.0805480 | + | 0.996751i | \(0.474333\pi\) | |||||||
\(294\) | −2.66419 | + | 5.40243i | −0.155378 | + | 0.315076i | ||||
\(295\) | −33.7454 | − | 11.4550i | −1.96474 | − | 0.666938i | ||||
\(296\) | −27.5731 | + | 22.4137i | −1.60265 | + | 1.30277i | ||||
\(297\) | 2.66013 | + | 9.23351i | 0.154356 | + | 0.535782i | ||||
\(298\) | 2.34590 | − | 4.64697i | 0.135894 | − | 0.269192i | ||||
\(299\) | 8.10086 | + | 13.7329i | 0.468485 | + | 0.794197i | ||||
\(300\) | 9.63420 | − | 1.91636i | 0.556231 | − | 0.110641i | ||||
\(301\) | −16.0727 | − | 15.4941i | −0.926412 | − | 0.893064i | ||||
\(302\) | −29.4527 | − | 29.4527i | −1.69481 | − | 1.69481i | ||||
\(303\) | −0.204979 | − | 0.154262i | −0.0117757 | − | 0.00886213i | ||||
\(304\) | 7.08206 | + | 21.5221i | 0.406184 | + | 1.23438i | ||||
\(305\) | −2.53171 | + | 2.01897i | −0.144965 | + | 0.115606i | ||||
\(306\) | −24.6296 | + | 11.4773i | −1.40798 | + | 0.656116i | ||||
\(307\) | −4.06701 | + | 7.04427i | −0.232117 | + | 0.402038i | −0.958431 | − | 0.285325i | \(-0.907898\pi\) |
0.726314 | + | 0.687363i | \(0.241232\pi\) | |||||||
\(308\) | −25.3385 | + | 33.0217i | −1.44379 | + | 1.88159i | ||||
\(309\) | 9.03709 | − | 0.253556i | 0.514102 | − | 0.0144243i | ||||
\(310\) | −36.2712 | + | 26.7694i | −2.06007 | + | 1.52040i | ||||
\(311\) | 1.69800 | − | 10.5925i | 0.0962845 | − | 0.600645i | −0.892471 | − | 0.451105i | \(-0.851030\pi\) |
0.988756 | − | 0.149540i | \(-0.0477794\pi\) | |||||||
\(312\) | −4.77261 | + | 9.23829i | −0.270196 | + | 0.523015i | ||||
\(313\) | 19.7793 | − | 0.184942i | 1.11799 | − | 0.0104535i | 0.551244 | − | 0.834344i | \(-0.314153\pi\) |
0.566749 | + | 0.823890i | \(0.308201\pi\) | |||||||
\(314\) | 10.3803 | + | 27.9759i | 0.585795 | + | 1.57877i | ||||
\(315\) | 8.95455 | − | 27.2125i | 0.504531 | − | 1.53325i | ||||
\(316\) | −18.3380 | + | 12.7554i | −1.03160 | + | 0.717550i | ||||
\(317\) | −27.2873 | − | 0.765608i | −1.53261 | − | 0.0430008i | −0.748295 | − | 0.663366i | \(-0.769127\pi\) |
−0.784313 | + | 0.620365i | \(0.786984\pi\) | |||||||
\(318\) | 8.95725 | − | 11.0191i | 0.502298 | − | 0.617920i | ||||
\(319\) | 5.36402 | − | 1.01493i | 0.300328 | − | 0.0568251i | ||||
\(320\) | −27.7101 | − | 1.29639i | −1.54904 | − | 0.0724702i | ||||
\(321\) | −4.28133 | − | 4.44452i | −0.238961 | − | 0.248069i | ||||
\(322\) | 13.8673 | + | 28.7957i | 0.772793 | + | 1.60472i | ||||
\(323\) | −0.158901 | − | 26.5790i | −0.00884150 | − | 1.47889i | ||||
\(324\) | −9.25576 | − | 23.5833i | −0.514209 | − | 1.31018i | ||||
\(325\) | 16.4491 | − | 9.91158i | 0.912435 | − | 0.549795i | ||||
\(326\) | 34.7057 | + | 35.3609i | 1.92217 | + | 1.95846i | ||||
\(327\) | 4.94536 | + | 2.61370i | 0.273479 | + | 0.144538i | ||||
\(328\) | −14.2939 | − | 37.4460i | −0.789248 | − | 2.06761i | ||||
\(329\) | −10.2593 | − | 1.84198i | −0.565614 | − | 0.101552i | ||||
\(330\) | −6.25583 | + | 11.0732i | −0.344372 | + | 0.609561i | ||||
\(331\) | −16.2177 | + | 6.01750i | −0.891405 | + | 0.330752i | −0.751750 | − | 0.659448i | \(-0.770790\pi\) |
−0.139655 | + | 0.990200i | \(0.544599\pi\) | |||||||
\(332\) | −1.45258 | + | 0.303081i | −0.0797205 | + | 0.0166337i | ||||
\(333\) | 6.26523 | + | 19.6570i | 0.343333 | + | 1.07719i | ||||
\(334\) | 14.2318 | + | 8.75789i | 0.778728 | + | 0.479210i | ||||
\(335\) | 1.83501 | + | 3.90338i | 0.100257 | + | 0.213264i | ||||
\(336\) | −3.43383 | + | 5.46491i | −0.187331 | + | 0.298135i | ||||
\(337\) | −7.91835 | + | 2.68792i | −0.431340 | + | 0.146420i | −0.528661 | − | 0.848833i | \(-0.677306\pi\) |
0.0973214 | + | 0.995253i | \(0.468973\pi\) | |||||||
\(338\) | −1.29258 | + | 9.81808i | −0.0703068 | + | 0.534033i | ||||
\(339\) | 2.30227 | − | 7.46379i | 0.125042 | − | 0.405377i | ||||
\(340\) | −46.9845 | − | 17.6138i | −2.54809 | − | 0.955244i | ||||
\(341\) | 1.39119 | − | 18.5641i | 0.0753371 | − | 1.00530i | ||||
\(342\) | 42.4174 | + | 2.38211i | 2.29367 | + | 0.128810i | ||||
\(343\) | 1.60027 | − | 8.04512i | 0.0864067 | − | 0.434396i | ||||
\(344\) | −19.7311 | − | 23.3841i | −1.06383 | − | 1.26079i | ||||
\(345\) | 3.59201 | + | 5.37582i | 0.193387 | + | 0.289425i | ||||
\(346\) | 2.06278 | − | 7.99674i | 0.110896 | − | 0.429907i | ||||
\(347\) | −4.18801 | + | 5.35353i | −0.224824 | + | 0.287392i | −0.886820 | − | 0.462115i | \(-0.847091\pi\) |
0.661996 | + | 0.749508i | \(0.269710\pi\) | |||||||
\(348\) | 3.55273 | − | 1.02352i | 0.190447 | − | 0.0548667i | ||||
\(349\) | −11.0048 | + | 13.2823i | −0.589073 | + | 0.710983i | −0.977604 | − | 0.210452i | \(-0.932506\pi\) |
0.388531 | + | 0.921435i | \(0.372982\pi\) | |||||||
\(350\) | 34.5262 | − | 17.0265i | 1.84550 | − | 0.910102i | ||||
\(351\) | 8.38888 | + | 9.56568i | 0.447765 | + | 0.510578i | ||||
\(352\) | 1.67556 | − | 1.77230i | 0.0893078 | − | 0.0944639i | ||||
\(353\) | −4.23814 | − | 5.74247i | −0.225573 | − | 0.305641i | 0.677165 | − | 0.735831i | \(-0.263208\pi\) |
−0.902738 | + | 0.430190i | \(0.858446\pi\) | |||||||
\(354\) | 12.1958 | − | 8.82595i | 0.648198 | − | 0.469094i | ||||
\(355\) | 10.4468 | + | 3.00966i | 0.554457 | + | 0.159736i | ||||
\(356\) | −42.7019 | + | 29.1137i | −2.26320 | + | 1.54302i | ||||
\(357\) | 5.80129 | − | 4.86534i | 0.307037 | − | 0.257501i | ||||
\(358\) | −1.35832 | − | 18.1255i | −0.0717896 | − | 0.957965i | ||||
\(359\) | 0.154367 | + | 8.25400i | 0.00814720 | + | 0.435629i | 0.979885 | + | 0.199565i | \(0.0639529\pi\) |
−0.971737 | + | 0.236064i | \(0.924142\pi\) | |||||||
\(360\) | 16.0364 | − | 35.8379i | 0.845195 | − | 1.88882i | ||||
\(361\) | −10.5402 | + | 19.9430i | −0.554745 | + | 1.04963i | ||||
\(362\) | 7.26608 | + | 0.0679397i | 0.381897 | + | 0.00357083i | ||||
\(363\) | 0.230976 | + | 0.640808i | 0.0121231 | + | 0.0336337i | ||||
\(364\) | −11.7606 | + | 53.8422i | −0.616422 | + | 2.82210i | ||||
\(365\) | 0.723924 | + | 12.8907i | 0.0378919 | + | 0.674728i | ||||
\(366\) | −0.0767008 | − | 1.36578i | −0.00400922 | − | 0.0713907i | ||||
\(367\) | 5.17932 | − | 23.7119i | 0.270358 | − | 1.23775i | −0.620768 | − | 0.783995i | \(-0.713179\pi\) |
0.891126 | − | 0.453756i | \(-0.149916\pi\) | |||||||
\(368\) | 4.59917 | + | 12.7597i | 0.239748 | + | 0.665146i | ||||
\(369\) | −23.2706 | − | 0.217586i | −1.21142 | − | 0.0113271i | ||||
\(370\) | −26.8895 | + | 50.8774i | −1.39792 | + | 2.64499i | ||||
\(371\) | 15.0488 | − | 33.6307i | 0.781293 | − | 1.74602i | ||||
\(372\) | −0.235751 | − | 12.6056i | −0.0122231 | − | 0.653568i | ||||
\(373\) | 1.77172 | + | 23.6420i | 0.0917364 | + | 1.22414i | 0.833134 | + | 0.553071i | \(0.186544\pi\) |
−0.741398 | + | 0.671066i | \(0.765837\pi\) | |||||||
\(374\) | 27.4443 | − | 15.0474i | 1.41911 | − | 0.778081i | ||||
\(375\) | −0.487098 | + | 0.332098i | −0.0251536 | + | 0.0171495i | ||||
\(376\) | −13.7270 | − | 3.95467i | −0.707914 | − | 0.203947i | ||||
\(377\) | 5.85579 | − | 4.23777i | 0.301588 | − | 0.218256i | ||||
\(378\) | 15.1447 | + | 20.5203i | 0.778959 | + | 1.05545i | ||||
\(379\) | −17.9955 | + | 19.0345i | −0.924368 | + | 0.977736i | −0.999812 | − | 0.0194140i | \(-0.993820\pi\) |
0.0754433 | + | 0.997150i | \(0.475963\pi\) | |||||||
\(380\) | 51.7274 | + | 58.9838i | 2.65356 | + | 3.02580i | ||||
\(381\) | −9.99820 | + | 4.93057i | −0.512224 | + | 0.252601i | ||||
\(382\) | 32.4142 | − | 39.1224i | 1.65845 | − | 2.00167i | ||||
\(383\) | −18.0921 | + | 5.21226i | −0.924465 | + | 0.266334i | −0.704935 | − | 0.709272i | \(-0.749024\pi\) |
−0.219530 | + | 0.975606i | \(0.570452\pi\) | |||||||
\(384\) | 6.70096 | − | 8.56582i | 0.341957 | − | 0.437123i | ||||
\(385\) | −8.24218 | + | 31.9523i | −0.420061 | + | 1.62844i | ||||
\(386\) | 17.2638 | + | 25.8371i | 0.878703 | + | 1.31507i | ||||
\(387\) | −16.8239 | + | 5.70393i | −0.855206 | + | 0.289947i | ||||
\(388\) | −6.50730 | + | 32.7144i | −0.330358 | + | 1.66082i | ||||
\(389\) | −25.5976 | − | 1.43753i | −1.29785 | − | 0.0728856i | −0.606312 | − | 0.795227i | \(-0.707352\pi\) |
−0.691537 | + | 0.722341i | \(0.743066\pi\) | |||||||
\(390\) | −1.25843 | + | 16.7926i | −0.0637232 | + | 0.850327i | ||||
\(391\) | −0.541325 | − | 15.9019i | −0.0273760 | − | 0.804196i | ||||
\(392\) | −6.31346 | + | 20.4677i | −0.318878 | + | 1.03378i | ||||
\(393\) | 0.265715 | − | 2.01830i | 0.0134035 | − | 0.101810i | ||||
\(394\) | −19.5975 | + | 6.65246i | −0.987308 | + | 0.335146i | ||||
\(395\) | −9.42191 | + | 14.9949i | −0.474068 | + | 0.754475i | ||||
\(396\) | 14.0909 | + | 29.9737i | 0.708093 | + | 1.50624i | ||||
\(397\) | 27.6198 | + | 16.9966i | 1.38620 | + | 0.853034i | 0.997658 | − | 0.0683966i | \(-0.0217883\pi\) |
0.388542 | + | 0.921431i | \(0.372979\pi\) | |||||||
\(398\) | 11.9302 | + | 37.4307i | 0.598008 | + | 1.87623i | ||||
\(399\) | −11.5884 | + | 2.41792i | −0.580143 | + | 0.121047i | ||||
\(400\) | 15.3164 | − | 5.68308i | 0.765820 | − | 0.284154i | ||||
\(401\) | 7.71431 | − | 13.6548i | 0.385234 | − | 0.681890i | −0.608513 | − | 0.793544i | \(-0.708234\pi\) |
0.993747 | + | 0.111654i | \(0.0356147\pi\) | |||||||
\(402\) | −1.79339 | − | 0.321990i | −0.0894462 | − | 0.0160594i | ||||
\(403\) | −8.79039 | − | 23.0284i | −0.437880 | − | 1.14712i | ||||
\(404\) | −1.64751 | − | 0.870736i | −0.0819668 | − | 0.0433207i | ||||
\(405\) | −14.0688 | − | 14.3344i | −0.699084 | − | 0.712281i | ||||
\(406\) | 12.4106 | − | 7.47812i | 0.615928 | − | 0.371133i | ||||
\(407\) | −8.68203 | − | 22.1214i | −0.430352 | − | 1.09652i | ||||
\(408\) | 8.59329 | − | 5.81646i | 0.425431 | − | 0.287958i | ||||
\(409\) | 14.2661 | + | 29.6238i | 0.705413 | + | 1.46480i | 0.877427 | + | 0.479710i | \(0.159258\pi\) |
−0.172014 | + | 0.985095i | \(0.555027\pi\) | |||||||
\(410\) | −45.0326 | − | 46.7491i | −2.22400 | − | 2.30877i | ||||
\(411\) | 8.94897 | + | 0.418668i | 0.441420 | + | 0.0206514i | ||||
\(412\) | 64.5246 | − | 12.2087i | 3.17890 | − | 0.601480i | ||||
\(413\) | 24.6378 | − | 30.3091i | 1.21235 | − | 1.49141i | ||||
\(414\) | 25.4222 | + | 0.713277i | 1.24943 | + | 0.0350557i | ||||
\(415\) | −0.965737 | + | 0.671741i | −0.0474062 | + | 0.0329745i | ||||
\(416\) | 1.00941 | − | 3.06755i | 0.0494902 | − | 0.150399i | ||||
\(417\) | 1.75085 | + | 4.71868i | 0.0857393 | + | 0.231075i | ||||
\(418\) | −48.9335 | + | 0.457540i | −2.39341 | + | 0.0223790i | ||||
\(419\) | −12.1241 | + | 23.4684i | −0.592299 | + | 1.14651i | 0.382612 | + | 0.923909i | \(0.375025\pi\) |
−0.974911 | + | 0.222597i | \(0.928547\pi\) | |||||||
\(420\) | −3.53727 | + | 22.0663i | −0.172601 | + | 1.07672i | ||||
\(421\) | −24.1527 | + | 17.8255i | −1.17713 | + | 0.868762i | −0.993455 | − | 0.114225i | \(-0.963561\pi\) |
−0.183675 | + | 0.982987i | \(0.558800\pi\) | |||||||
\(422\) | 30.9058 | − | 0.867132i | 1.50447 | − | 0.0422113i | ||||
\(423\) | −5.04917 | + | 6.58021i | −0.245499 | + | 0.319941i | ||||
\(424\) | 25.2476 | − | 43.7301i | 1.22613 | − | 2.12372i | ||||
\(425\) | −19.1467 | + | 0.831072i | −0.928750 | + | 0.0403129i | ||||
\(426\) | −3.59066 | + | 2.86346i | −0.173968 | + | 0.138735i | ||||
\(427\) | −1.10938 | − | 3.37138i | −0.0536869 | − | 0.163152i | ||||
\(428\) | −35.8167 | − | 26.9548i | −1.73127 | − | 1.30291i | ||||
\(429\) | −4.91730 | − | 4.91730i | −0.237409 | − | 0.237409i | ||||
\(430\) | −44.2248 | − | 22.3464i | −2.13271 | − | 1.07764i | ||||
\(431\) | −13.6902 | + | 2.72315i | −0.659435 | + | 0.131170i | −0.513453 | − | 0.858118i | \(-0.671634\pi\) |
−0.145981 | + | 0.989287i | \(0.546634\pi\) | |||||||
\(432\) | 5.49896 | + | 9.32209i | 0.264569 | + | 0.448509i | ||||
\(433\) | 2.56927 | − | 5.08944i | 0.123471 | − | 0.244583i | −0.822547 | − | 0.568698i | \(-0.807447\pi\) |
0.946018 | + | 0.324115i | \(0.105066\pi\) | |||||||
\(434\) | −13.6785 | − | 47.4790i | −0.656587 | − | 2.27906i | ||||
\(435\) | 2.27446 | − | 1.84887i | 0.109052 | − | 0.0886467i | ||||
\(436\) | 38.4743 | + | 13.0603i | 1.84258 | + | 0.625473i | ||||
\(437\) | −11.0028 | + | 22.3116i | −0.526337 | + | 1.06731i | ||||
\(438\) | −4.61814 | − | 2.90177i | −0.220663 | − | 0.138652i | ||||
\(439\) | 8.61319 | − | 23.8960i | 0.411085 | − | 1.14049i | −0.542680 | − | 0.839940i | \(-0.682590\pi\) |
0.953765 | − | 0.300554i | \(-0.0971717\pi\) | |||||||
\(440\) | −15.7322 | + | 42.3997i | −0.750005 | + | 2.02133i | ||||
\(441\) | 9.72307 | + | 7.75389i | 0.463003 | + | 0.369233i | ||||
\(442\) | 24.4091 | − | 33.4904i | 1.16102 | − | 1.59298i | ||||
\(443\) | −11.3391 | + | 10.5211i | −0.538737 | + | 0.499874i | −0.901955 | − | 0.431829i | \(-0.857868\pi\) |
0.363219 | + | 0.931704i | \(0.381678\pi\) | |||||||
\(444\) | −7.25295 | − | 14.3673i | −0.344210 | − | 0.681842i | ||||
\(445\) | −22.1224 | + | 34.4876i | −1.04870 | + | 1.63487i | ||||
\(446\) | 9.01027 | + | 14.3398i | 0.426649 | + | 0.679008i | ||||
\(447\) | 0.895616 | + | 0.728033i | 0.0423612 | + | 0.0344348i | ||||
\(448\) | 11.8976 | − | 27.9805i | 0.562109 | − | 1.32195i | ||||
\(449\) | 0.738913 | + | 0.347368i | 0.0348714 | + | 0.0163933i | 0.442798 | − | 0.896622i | \(-0.353986\pi\) |
−0.407926 | + | 0.913015i | \(0.633748\pi\) | |||||||
\(450\) | 0.572795 | − | 30.6273i | 0.0270018 | − | 1.44378i | ||||
\(451\) | 26.7633 | − | 1.50300i | 1.26024 | − | 0.0707733i | ||||
\(452\) | 7.93116 | − | 56.1790i | 0.373050 | − | 2.64244i | ||||
\(453\) | 7.77350 | − | 4.98639i | 0.365231 | − | 0.234281i | ||||
\(454\) | 1.86394 | − | 1.69733i | 0.0874791 | − | 0.0796597i | ||||
\(455\) | 8.12283 | + | 42.9302i | 0.380804 | + | 2.01260i | ||||
\(456\) | −16.1382 | + | 1.66569i | −0.755741 | + | 0.0780030i | ||||
\(457\) | 5.70450 | + | 33.5743i | 0.266845 | + | 1.57054i | 0.729488 | + | 0.683994i | \(0.239759\pi\) |
−0.462643 | + | 0.886545i | \(0.653099\pi\) | |||||||
\(458\) | 6.28043 | − | 16.0023i | 0.293465 | − | 0.747737i | ||||
\(459\) | −2.78352 | − | 12.3878i | −0.129924 | − | 0.578212i | ||||
\(460\) | 31.9434 | + | 34.4268i | 1.48937 | + | 1.60516i | ||||
\(461\) | 11.3905 | − | 17.3970i | 0.530508 | − | 0.810260i | −0.466740 | − | 0.884394i | \(-0.654572\pi\) |
0.997248 | + | 0.0741342i | \(0.0236193\pi\) | |||||||
\(462\) | −8.99357 | − | 10.6505i | −0.418419 | − | 0.495507i | ||||
\(463\) | −1.31840 | − | 35.2351i | −0.0612714 | − | 1.63751i | −0.603558 | − | 0.797319i | \(-0.706251\pi\) |
0.542286 | − | 0.840194i | \(-0.317559\pi\) | |||||||
\(464\) | 5.56471 | − | 2.61601i | 0.258335 | − | 0.121445i | ||||
\(465\) | −4.08252 | − | 9.12354i | −0.189322 | − | 0.423094i | ||||
\(466\) | 54.4489 | + | 3.56877i | 2.52229 | + | 0.165320i | ||||
\(467\) | −21.9887 | + | 16.8725i | −1.01752 | + | 0.780767i | −0.975867 | − | 0.218365i | \(-0.929928\pi\) |
−0.0416487 | + | 0.999132i | \(0.513261\pi\) | |||||||
\(468\) | 33.7691 | + | 27.9788i | 1.56098 | + | 1.29332i | ||||
\(469\) | −4.71076 | + | 0.397348i | −0.217523 | + | 0.0183478i | ||||
\(470\) | −22.9639 | + | 2.80509i | −1.05925 | + | 0.129389i | ||||
\(471\) | −6.55119 | + | 0.924874i | −0.301863 | + | 0.0426159i | ||||
\(472\) | 37.8526 | − | 37.8526i | 1.74231 | − | 1.74231i | ||||
\(473\) | 18.9074 | − | 7.82344i | 0.869365 | − | 0.359722i | ||||
\(474\) | −2.86290 | − | 6.91166i | −0.131498 | − | 0.317463i | ||||
\(475\) | 26.9966 | + | 13.0009i | 1.23869 | + | 0.596522i | ||||
\(476\) | 36.0144 | − | 41.5652i | 1.65072 | − | 1.90514i | ||||
\(477\) | −18.2794 | − | 22.9217i | −0.836958 | − | 1.04951i | ||||
\(478\) | 4.77030 | + | 50.8706i | 0.218188 | + | 2.32677i | ||||
\(479\) | 10.9496 | − | 12.4856i | 0.500298 | − | 0.570481i | −0.445481 | − | 0.895292i | \(-0.646967\pi\) |
0.945779 | + | 0.324811i | \(0.105301\pi\) | |||||||
\(480\) | 0.338928 | − | 1.26490i | 0.0154699 | − | 0.0577344i | ||||
\(481\) | −22.8646 | − | 21.6166i | −1.04254 | − | 0.985632i | ||||
\(482\) | −52.8997 | + | 2.47486i | −2.40952 | + | 0.112727i | ||||
\(483\) | −6.89376 | + | 1.64142i | −0.313677 | + | 0.0746871i | ||||
\(484\) | 2.39336 | + | 4.33047i | 0.108789 | + | 0.196839i | ||||
\(485\) | 5.40118 | + | 25.8862i | 0.245255 | + | 1.17543i | ||||
\(486\) | 30.5681 | − | 4.90012i | 1.38660 | − | 0.222274i | ||||
\(487\) | 25.0181 | − | 6.95494i | 1.13368 | − | 0.315159i | 0.350261 | − | 0.936652i | \(-0.386093\pi\) |
0.783419 | + | 0.621494i | \(0.213474\pi\) | |||||||
\(488\) | −1.03801 | − | 4.75218i | −0.0469883 | − | 0.215121i | ||||
\(489\) | −9.30186 | + | 5.84475i | −0.420645 | + | 0.264309i | ||||
\(490\) | 3.56137 | + | 34.5048i | 0.160886 | + | 1.55877i | ||||
\(491\) | 7.64020 | + | 1.59413i | 0.344797 | + | 0.0719422i | 0.373458 | − | 0.927647i | \(-0.378172\pi\) |
−0.0286610 | + | 0.999589i | \(0.509124\pi\) | |||||||
\(492\) | 17.9512 | − | 2.70571i | 0.809303 | − | 0.121983i | ||||
\(493\) | −7.15478 | + | 0.917414i | −0.322235 | + | 0.0413182i | ||||
\(494\) | −58.3774 | + | 28.1131i | −2.62652 | + | 1.26487i | ||||
\(495\) | 19.5788 | + | 17.4967i | 0.880003 | + | 0.786419i | ||||
\(496\) | −3.70544 | − | 20.6383i | −0.166379 | − | 0.926685i | ||||
\(497\) | −7.07592 | + | 9.58752i | −0.317398 | + | 0.430059i | ||||
\(498\) | 0.00464644 | − | 0.496932i | 0.000208212 | − | 0.0222680i | ||||
\(499\) | −2.05920 | − | 3.80955i | −0.0921825 | − | 0.170539i | 0.829474 | − | 0.558545i | \(-0.188640\pi\) |
−0.921657 | + | 0.388006i | \(0.873164\pi\) | |||||||
\(500\) | −3.11176 | + | 2.94191i | −0.139162 | + | 0.131566i | ||||
\(501\) | −2.57048 | + | 2.66846i | −0.114841 | + | 0.119218i | ||||
\(502\) | −7.17083 | − | 2.35963i | −0.320050 | − | 0.105315i | ||||
\(503\) | −1.67306 | − | 10.4369i | −0.0745980 | − | 0.465359i | −0.996886 | − | 0.0788560i | \(-0.974873\pi\) |
0.922288 | − | 0.386503i | \(-0.126317\pi\) | |||||||
\(504\) | 30.7125 | + | 30.1435i | 1.36804 | + | 1.34270i | ||||
\(505\) | −1.47210 | − | 0.124170i | −0.0655077 | − | 0.00552551i | ||||
\(506\) | −29.2736 | + | 1.09534i | −1.30137 | + | 0.0486939i | ||||
\(507\) | −2.06560 | − | 0.744536i | −0.0917366 | − | 0.0330660i | ||||
\(508\) | −66.0407 | + | 46.8584i | −2.93008 | + | 2.07900i | ||||
\(509\) | −4.44317 | + | 2.56526i | −0.196940 | + | 0.113703i | −0.595227 | − | 0.803557i | \(-0.702938\pi\) |
0.398287 | + | 0.917261i | \(0.369605\pi\) | |||||||
\(510\) | 9.12098 | − | 14.1141i | 0.403884 | − | 0.624984i | ||||
\(511\) | −13.5224 | − | 4.17112i | −0.598197 | − | 0.184519i | ||||
\(512\) | 17.1940 | − | 31.1103i | 0.759876 | − | 1.37489i | ||||
\(513\) | −5.31692 | + | 19.1259i | −0.234748 | + | 0.844429i | ||||
\(514\) | 63.3191 | − | 22.1563i | 2.79289 | − | 0.977273i | ||||
\(515\) | 43.2880 | − | 28.9241i | 1.90750 | − | 1.27455i | ||||
\(516\) | 12.2544 | − | 6.47079i | 0.539471 | − | 0.284861i | ||||
\(517\) | 5.30773 | − | 7.94358i | 0.233434 | − | 0.349358i | ||||
\(518\) | −42.0289 | − | 47.0303i | −1.84664 | − | 2.06639i | ||||
\(519\) | 1.63463 | + | 0.825198i | 0.0717521 | + | 0.0362222i | ||||
\(520\) | 5.03295 | + | 59.6682i | 0.220709 | + | 2.61662i | ||||
\(521\) | 2.55233 | + | 0.263436i | 0.111819 | + | 0.0115413i | 0.158416 | − | 0.987372i | \(-0.449361\pi\) |
−0.0465965 | + | 0.998914i | \(0.514837\pi\) | |||||||
\(522\) | −0.754080 | − | 11.5050i | −0.0330052 | − | 0.503562i | ||||
\(523\) | 36.6116 | + | 9.81004i | 1.60091 | + | 0.428963i | 0.945318 | − | 0.326150i | \(-0.105751\pi\) |
0.655595 | + | 0.755113i | \(0.272418\pi\) | |||||||
\(524\) | −0.414722 | − | 14.7813i | −0.0181172 | − | 0.645722i | ||||
\(525\) | 2.05461 | + | 8.28457i | 0.0896704 | + | 0.361568i | ||||
\(526\) | −32.3738 | + | 34.8907i | −1.41157 | + | 1.52131i | ||||
\(527\) | −3.29288 | + | 24.3766i | −0.143440 | + | 1.06186i | ||||
\(528\) | −3.33241 | − | 4.88775i | −0.145025 | − | 0.212712i | ||||
\(529\) | 3.38070 | − | 7.36952i | 0.146987 | − | 0.320414i | ||||
\(530\) | 9.91533 | − | 81.1722i | 0.430695 | − | 3.52589i | ||||
\(531\) | −12.4290 | − | 28.4877i | −0.539374 | − | 1.23626i | ||||
\(532\) | −80.3344 | + | 30.6653i | −3.48294 | + | 1.32951i | ||||
\(533\) | 31.2228 | − | 16.8771i | 1.35241 | − | 0.731028i | ||||
\(534\) | −6.47396 | − | 16.0524i | −0.280156 | − | 0.694656i | ||||
\(535\) | −34.4929 | − | 8.55438i | −1.49126 | − | 0.369838i | ||||
\(536\) | −6.47793 | − | 0.121151i | −0.279804 | − | 0.00523293i | ||||
\(537\) | 3.99057 | + | 0.563374i | 0.172206 | + | 0.0243114i | ||||
\(538\) | 1.44773 | − | 1.08953i | 0.0624163 | − | 0.0469731i | ||||
\(539\) | −11.7597 | − | 8.17973i | −0.506526 | − | 0.352326i | ||||
\(540\) | 30.1529 | + | 22.2538i | 1.29757 | + | 0.957653i | ||||
\(541\) | −5.43634 | + | 5.33562i | −0.233727 | + | 0.229396i | −0.807873 | − | 0.589356i | \(-0.799382\pi\) |
0.574147 | + | 0.818752i | \(0.305334\pi\) | |||||||
\(542\) | −23.2698 | + | 19.2798i | −0.999523 | + | 0.828137i | ||||
\(543\) | −0.358511 | + | 1.57074i | −0.0153852 | + | 0.0674069i | ||||
\(544\) | −2.34923 | + | 2.20605i | −0.100722 | + | 0.0945836i | ||||
\(545\) | 32.1214 | − | 2.40716i | 1.37593 | − | 0.103112i | ||||
\(546\) | −16.7762 | − | 7.69594i | −0.717956 | − | 0.329356i | ||||
\(547\) | 39.2562 | − | 16.6922i | 1.67848 | − | 0.713706i | 0.678690 | − | 0.734425i | \(-0.262548\pi\) |
0.999785 | + | 0.0207192i | \(0.00659561\pi\) | |||||||
\(548\) | 64.6655 | − | 7.28605i | 2.76237 | − | 0.311244i | ||||
\(549\) | −2.78861 | − | 0.447020i | −0.119015 | − | 0.0190784i | ||||
\(550\) | 1.64893 | + | 35.2457i | 0.0703108 | + | 1.50288i | ||||
\(551\) | 10.5365 | + | 4.02200i | 0.448871 | + | 0.171343i | ||||
\(552\) | −9.62898 | + | 1.26768i | −0.409837 | + | 0.0539560i | ||||
\(553\) | −11.8163 | − | 15.3993i | −0.502479 | − | 0.654843i | ||||
\(554\) | −9.77455 | − | 12.0245i | −0.415281 | − | 0.510873i | ||||
\(555\) | −9.74861 | − | 8.23197i | −0.413806 | − | 0.349428i | ||||
\(556\) | 17.9827 | + | 31.8305i | 0.762634 | + | 1.34991i | ||||
\(557\) | −0.474548 | − | 1.35618i | −0.0201073 | − | 0.0574632i | 0.933392 | − | 0.358858i | \(-0.116834\pi\) |
−0.953500 | + | 0.301394i | \(0.902548\pi\) | |||||||
\(558\) | −38.5616 | − | 7.67037i | −1.63244 | − | 0.324713i | ||||
\(559\) | 18.2490 | − | 20.0253i | 0.771852 | − | 0.846981i | ||||
\(560\) | 37.1674i | 1.57061i | ||||||||
\(561\) | 1.96099 | + | 6.65687i | 0.0827929 | + | 0.281053i | ||||
\(562\) | −58.3262 | − | 4.37094i | −2.46034 | − | 0.184377i | ||||
\(563\) | 11.3269 | + | 6.26018i | 0.477374 | + | 0.263835i | 0.704070 | − | 0.710130i | \(-0.251364\pi\) |
−0.226696 | + | 0.973965i | \(0.572793\pi\) | |||||||
\(564\) | 3.07667 | − | 5.69189i | 0.129551 | − | 0.239672i | ||||
\(565\) | −11.6416 | − | 43.4471i | −0.489767 | − | 1.82783i | ||||
\(566\) | 29.6541 | + | 14.6238i | 1.24645 | + | 0.614683i | ||||
\(567\) | 20.0942 | − | 8.99157i | 0.843877 | − | 0.377611i | ||||
\(568\) | −10.9954 | + | 12.0747i | −0.461356 | + | 0.506643i | ||||
\(569\) | −12.3927 | + | 5.68506i | −0.519531 | + | 0.238330i | −0.659335 | − | 0.751849i | \(-0.729162\pi\) |
0.139804 | + | 0.990179i | \(0.455353\pi\) | |||||||
\(570\) | −22.9959 | + | 12.7094i | −0.963190 | + | 0.532336i | ||||
\(571\) | 0.359945 | + | 38.4958i | 0.0150632 | + | 1.61100i | 0.600056 | + | 0.799958i | \(0.295145\pi\) |
−0.584992 | + | 0.811039i | \(0.698902\pi\) | |||||||
\(572\) | −40.9216 | − | 29.6145i | −1.71102 | − | 1.23824i | ||||
\(573\) | 6.94088 | + | 8.87252i | 0.289960 | + | 0.370655i | ||||
\(574\) | 65.2095 | − | 28.4506i | 2.72179 | − | 1.18750i | ||||
\(575\) | 16.3728 | + | 7.32635i | 0.682792 | + | 0.305530i | ||||
\(576\) | −15.4359 | − | 18.6303i | −0.643161 | − | 0.776265i | ||||
\(577\) | 25.2850 | + | 17.2391i | 1.05263 | + | 0.717671i | 0.960558 | − | 0.278081i | \(-0.0896984\pi\) |
0.0920726 | + | 0.995752i | \(0.470651\pi\) | |||||||
\(578\) | −37.3804 | + | 17.6919i | −1.55482 | + | 0.735888i | ||||
\(579\) | −6.41358 | + | 2.51714i | −0.266539 | + | 0.104609i | ||||
\(580\) | 14.1873 | − | 15.8755i | 0.589094 | − | 0.659196i | ||||
\(581\) | −0.322057 | − | 1.24851i | −0.0133612 | − | 0.0517971i | ||||
\(582\) | −10.2388 | − | 4.46716i | −0.424413 | − | 0.185170i | ||||
\(583\) | 22.7369 | + | 24.9688i | 0.941668 | + | 1.03410i | ||||
\(584\) | −17.8478 | − | 7.58906i | −0.738546 | − | 0.314037i | ||||
\(585\) | 33.3167 | + | 9.93666i | 1.37748 | + | 0.410830i | ||||
\(586\) | −28.8437 | + | 40.6514i | −1.19152 | + | 1.67929i | ||||
\(587\) | −23.5136 | − | 22.6502i | −0.970508 | − | 0.934874i | 0.0273931 | − | 0.999625i | \(-0.491279\pi\) |
−0.997901 | + | 0.0647511i | \(0.979375\pi\) | |||||||
\(588\) | −8.44666 | − | 4.77194i | −0.348334 | − | 0.196792i | ||||
\(589\) | 22.5473 | − | 31.1561i | 0.929046 | − | 1.28376i | ||||
\(590\) | 32.4257 | − | 80.4006i | 1.33494 | − | 3.31004i | ||||
\(591\) | −0.513778 | − | 4.55991i | −0.0211340 | − | 0.187570i | ||||
\(592\) | −15.6925 | − | 21.6841i | −0.644960 | − | 0.891211i | ||||
\(593\) | 15.6311 | − | 3.87658i | 0.641893 | − | 0.159192i | 0.0937753 | − | 0.995593i | \(-0.470106\pi\) |
0.548118 | + | 0.836401i | \(0.315345\pi\) | |||||||
\(594\) | −22.7898 | + | 5.20162i | −0.935077 | + | 0.213425i | ||||
\(595\) | 13.3807 | − | 41.4973i | 0.548555 | − | 1.70122i | ||||
\(596\) | 7.26060 | + | 4.19191i | 0.297406 | + | 0.171707i | ||||
\(597\) | −8.67259 | + | 0.813256i | −0.354945 | + | 0.0332844i | ||||
\(598\) | −34.4605 | + | 17.8027i | −1.40919 | + | 0.728006i | ||||
\(599\) | 6.23112 | + | 7.24070i | 0.254597 | + | 0.295847i | 0.870696 | − | 0.491822i | \(-0.163669\pi\) |
−0.616099 | + | 0.787669i | \(0.711288\pi\) | |||||||
\(600\) | 1.63527 | + | 11.5832i | 0.0667596 | + | 0.472881i | ||||
\(601\) | 4.98983 | + | 25.0856i | 0.203540 | + | 1.02326i | 0.938533 | + | 0.345189i | \(0.112185\pi\) |
−0.734994 | + | 0.678074i | \(0.762815\pi\) | |||||||
\(602\) | 39.8254 | − | 36.9249i | 1.62316 | − | 1.50495i | ||||
\(603\) | −1.43958 | + | 3.47545i | −0.0586242 | + | 0.141531i | ||||
\(604\) | 50.0204 | − | 44.7009i | 2.03530 | − | 1.81886i | ||||
\(605\) | 3.08954 | + | 2.41692i | 0.125608 | + | 0.0982616i | ||||
\(606\) | 0.402642 | − | 0.476824i | 0.0163562 | − | 0.0193696i | ||||
\(607\) | 5.22873 | + | 17.5315i | 0.212228 | + | 0.711580i | 0.995905 | + | 0.0904109i | \(0.0288180\pi\) |
−0.783677 | + | 0.621169i | \(0.786658\pi\) | |||||||
\(608\) | 4.86694 | − | 1.30409i | 0.197380 | − | 0.0528879i | ||||
\(609\) | 1.03268 | + | 3.04217i | 0.0418463 | + | 0.123275i | ||||
\(610\) | −4.55847 | − | 6.42457i | −0.184567 | − | 0.260123i | ||||
\(611\) | 1.88534 | − | 12.5084i | 0.0762726 | − | 0.506036i | ||||
\(612\) | −16.2317 | − | 40.6415i | −0.656127 | − | 1.64284i | ||||
\(613\) | 24.8094 | − | 31.1100i | 1.00204 | − | 1.25652i | 0.0356705 | − | 0.999364i | \(-0.488643\pi\) |
0.966370 | − | 0.257155i | \(-0.0827852\pi\) | |||||||
\(614\) | −16.5548 | − | 10.8391i | −0.668099 | − | 0.437430i | ||||
\(615\) | 12.2573 | − | 7.54288i | 0.494264 | − | 0.304158i | ||||
\(616\) | −37.5714 | − | 32.3328i | −1.51379 | − | 1.30272i | ||||
\(617\) | 23.7650 | − | 5.19092i | 0.956743 | − | 0.208979i | 0.292308 | − | 0.956324i | \(-0.405577\pi\) |
0.664435 | + | 0.747346i | \(0.268672\pi\) | |||||||
\(618\) | −0.616825 | + | 21.9845i | −0.0248123 | + | 0.884345i | ||||
\(619\) | 12.4865 | − | 41.8662i | 0.501876 | − | 1.68274i | −0.207764 | − | 0.978179i | \(-0.566619\pi\) |
0.709640 | − | 0.704564i | \(-0.248857\pi\) | |||||||
\(620\) | −39.7704 | − | 60.7424i | −1.59722 | − | 2.43947i | ||||
\(621\) | −2.86049 | + | 11.5340i | −0.114787 | + | 0.462844i | ||||
\(622\) | 25.4961 | + | 5.56904i | 1.02230 | + | 0.223298i | ||||
\(623\) | −27.0044 | − | 35.8826i | −1.08191 | − | 1.43761i | ||||
\(624\) | −6.74644 | − | 3.97962i | −0.270074 | − | 0.159312i | ||||
\(625\) | −10.6513 | + | 24.4132i | −0.426054 | + | 0.976526i | ||||
\(626\) | −2.24875 | + | 48.0666i | −0.0898779 | + | 1.92113i | ||||
\(627\) | 2.21617 | − | 10.6215i | 0.0885055 | − | 0.424180i | ||||
\(628\) | −45.9233 | + | 14.1655i | −1.83254 | + | 0.565263i | ||||
\(629\) | 9.71417 | + | 29.8597i | 0.387329 | + | 1.19058i | ||||
\(630\) | 64.8742 | + | 25.4612i | 2.58465 | + | 1.01440i | ||||
\(631\) | 0.642084 | − | 0.324139i | 0.0255610 | − | 0.0129038i | −0.437828 | − | 0.899059i | \(-0.644252\pi\) |
0.463389 | + | 0.886155i | \(0.346633\pi\) | |||||||
\(632\) | −13.9419 | − | 22.6559i | −0.554579 | − | 0.901204i | ||||
\(633\) | −1.27447 | + | 6.73573i | −0.0506556 | + | 0.267721i | ||||
\(634\) | 5.58161 | − | 66.1728i | 0.221674 | − | 2.62806i | ||||
\(635\) | −33.6450 | + | 54.6739i | −1.33516 | + | 2.16967i | ||||
\(636\) | 16.9101 | + | 15.3986i | 0.670528 | + | 0.610593i | ||||
\(637\) | −18.6990 | − | 3.17708i | −0.740880 | − | 0.125881i | ||||
\(638\) | 1.73346 | + | 13.1669i | 0.0686283 | + | 0.521284i | ||||
\(639\) | 4.19372 | + | 8.50402i | 0.165901 | + | 0.336414i | ||||
\(640\) | 6.42995 | − | 62.2973i | 0.254166 | − | 2.46252i | ||||
\(641\) | −13.1545 | + | 41.2717i | −0.519570 | + | 1.63013i | 0.233618 | + | 0.972328i | \(0.424944\pi\) |
−0.753188 | + | 0.657805i | \(0.771485\pi\) | |||||||
\(642\) | 11.3791 | − | 9.79254i | 0.449099 | − | 0.386481i | ||||
\(643\) | 4.35159 | − | 5.78226i | 0.171610 | − | 0.228030i | −0.705029 | − | 0.709179i | \(-0.749066\pi\) |
0.876639 | + | 0.481149i | \(0.159780\pi\) | |||||||
\(644\) | −47.5565 | + | 19.6985i | −1.87399 | + | 0.776231i | ||||
\(645\) | 6.93311 | − | 8.52251i | 0.272991 | − | 0.335573i | ||||
\(646\) | 64.5785 | + | 3.23948i | 2.54081 | + | 0.127456i | ||||
\(647\) | −5.39754 | + | 11.2081i | −0.212199 | + | 0.440636i | −0.979716 | − | 0.200393i | \(-0.935778\pi\) |
0.767516 | + | 0.641029i | \(0.221492\pi\) | |||||||
\(648\) | 28.6589 | − | 9.43049i | 1.12583 | − | 0.370465i | ||||
\(649\) | 16.4319 | + | 31.8070i | 0.645007 | + | 1.24853i | ||||
\(650\) | 21.8302 | + | 41.3047i | 0.856250 | + | 1.62010i | ||||
\(651\) | 10.9319 | − | 0.716517i | 0.428456 | − | 0.0280825i | ||||
\(652\) | −59.9953 | + | 52.6144i | −2.34960 | + | 2.06054i | ||||
\(653\) | −1.60742 | + | 4.21099i | −0.0629032 | + | 0.164789i | −0.962060 | − | 0.272838i | \(-0.912038\pi\) |
0.899157 | + | 0.437626i | \(0.144181\pi\) | |||||||
\(654\) | −7.02288 | + | 11.6551i | −0.274616 | + | 0.455750i | ||||
\(655\) | −4.88804 | − | 10.6553i | −0.190992 | − | 0.416339i | ||||
\(656\) | 28.7664 | − | 9.16869i | 1.12314 | − | 0.357977i | ||||
\(657\) | −7.88757 | + | 8.03646i | −0.307723 | + | 0.313532i | ||||
\(658\) | 5.87331 | − | 24.6672i | 0.228965 | − | 0.961628i | ||||
\(659\) | −4.65498 | + | 5.40919i | −0.181332 | + | 0.210712i | −0.841280 | − | 0.540600i | \(-0.818197\pi\) |
0.659948 | + | 0.751311i | \(0.270578\pi\) | |||||||
\(660\) | −17.2411 | − | 11.0595i | −0.671109 | − | 0.430490i | ||||
\(661\) | 44.6740 | − | 7.59043i | 1.73762 | − | 0.295233i | 0.789641 | − | 0.613569i | \(-0.210267\pi\) |
0.947978 | + | 0.318336i | \(0.103124\pi\) | |||||||
\(662\) | −12.4036 | − | 40.2114i | −0.482079 | − | 1.56286i | ||||
\(663\) | 6.09967 | + | 6.87203i | 0.236892 | + | 0.266887i | ||||
\(664\) | −0.263374 | − | 1.74737i | −0.0102209 | − | 0.0678112i | ||||
\(665\) | −49.0968 | + | 47.2941i | −1.90389 | + | 1.83398i | ||||
\(666\) | −48.5987 | + | 12.5362i | −1.88316 | + | 0.485766i | ||||
\(667\) | 6.37248 | + | 2.22983i | 0.246743 | + | 0.0863392i | ||||
\(668\) | −15.3681 | + | 22.0942i | −0.594610 | + | 0.854849i | ||||
\(669\) | −3.53255 | + | 1.27329i | −0.136576 | + | 0.0492283i | ||||
\(670\) | −9.73108 | + | 3.92456i | −0.375944 | + | 0.151619i | ||||
\(671\) | 3.23887 | + | 0.303719i | 0.125035 | + | 0.0117250i | ||||
\(672\) | 1.17058 | + | 0.830568i | 0.0451559 | + | 0.0320399i | ||||
\(673\) | 21.9825 | + | 31.6035i | 0.847364 | + | 1.21822i | 0.974062 | + | 0.226283i | \(0.0726573\pi\) |
−0.126698 | + | 0.991941i | \(0.540438\pi\) | |||||||
\(674\) | −5.44851 | − | 19.5992i | −0.209869 | − | 0.754935i | ||||
\(675\) | 13.9241 | + | 3.31536i | 0.535940 | + | 0.127608i | ||||
\(676\) | −15.6710 | − | 2.96511i | −0.602731 | − | 0.114043i | ||||
\(677\) | 17.7910 | − | 15.0232i | 0.683764 | − | 0.577387i | −0.235095 | − | 0.971972i | \(-0.575540\pi\) |
0.918859 | + | 0.394585i | \(0.129112\pi\) | |||||||
\(678\) | 17.8145 | + | 6.60999i | 0.684162 | + | 0.253855i | ||||
\(679\) | −28.6600 | − | 4.31980i | −1.09987 | − | 0.165779i | ||||
\(680\) | 24.0804 | − | 54.6891i | 0.923442 | − | 2.09723i | ||||
\(681\) | 0.279478 | + | 0.484070i | 0.0107096 | + | 0.0185496i | ||||
\(682\) | 44.9000 | + | 5.91120i | 1.71931 | + | 0.226351i | ||||
\(683\) | −6.34429 | − | 3.42932i | −0.242758 | − | 0.131219i | 0.349588 | − | 0.936904i | \(-0.386322\pi\) |
−0.592345 | + | 0.805684i | \(0.701798\pi\) | |||||||
\(684\) | −7.66099 | + | 67.9932i | −0.292925 | + | 2.59978i | ||||
\(685\) | 44.9179 | − | 25.3764i | 1.71622 | − | 0.969581i | ||||
\(686\) | 19.3222 | + | 4.98422i | 0.737726 | + | 0.190299i | ||||
\(687\) | 3.16920 | + | 2.11759i | 0.120913 | + | 0.0807912i | ||||
\(688\) | 18.4203 | − | 13.8519i | 0.702267 | − | 0.528100i | ||||
\(689\) | 41.3101 | + | 17.1112i | 1.57379 | + | 0.651884i | ||||
\(690\) | −13.5471 | + | 7.99124i | −0.515730 | + | 0.304221i | ||||
\(691\) | −1.15720 | − | 9.47346i | −0.0440220 | − | 0.360388i | −0.998140 | − | 0.0609578i | \(-0.980585\pi\) |
0.954118 | − | 0.299430i | \(-0.0967964\pi\) | |||||||
\(692\) | 12.6727 | + | 4.03914i | 0.481743 | + | 0.153545i | ||||
\(693\) | −25.4447 | + | 13.4479i | −0.966564 | + | 0.510844i | ||||
\(694\) | −12.4317 | − | 10.9024i | −0.471903 | − | 0.413848i | ||||
\(695\) | 22.9942 | + | 17.6441i | 0.872219 | + | 0.669277i | ||||
\(696\) | 0.979757 | + | 4.29260i | 0.0371376 | + | 0.162710i | ||||
\(697\) | −35.4185 | − | 0.119417i | −1.34157 | − | 0.00452325i | ||||
\(698\) | −30.7597 | − | 28.5409i | −1.16427 | − | 1.08029i | ||||
\(699\) | −3.34930 | + | 11.6257i | −0.126682 | + | 0.439724i | ||||
\(700\) | 24.2611 | + | 57.0566i | 0.916983 | + | 2.15654i | ||||
\(701\) | 0.803626 | − | 21.4774i | 0.0303526 | − | 0.811189i | −0.898112 | − | 0.439767i | \(-0.855061\pi\) |
0.928464 | − | 0.371422i | \(-0.121130\pi\) | |||||||
\(702\) | −24.3780 | + | 19.0707i | −0.920089 | + | 0.719776i | ||||
\(703\) | 8.67573 | − | 48.3214i | 0.327211 | − | 1.82248i | ||||
\(704\) | 19.1453 | + | 20.2506i | 0.721565 | + | 0.763224i | ||||
\(705\) | 0.478909 | − | 5.10710i | 0.0180367 | − | 0.192344i | ||||
\(706\) | 14.5258 | − | 9.51058i | 0.546685 | − | 0.357936i | ||||
\(707\) | 0.688888 | − | 1.46538i | 0.0259083 | − | 0.0551114i | ||||
\(708\) | 13.0910 | + | 20.4081i | 0.491991 | + | 0.766985i | ||||
\(709\) | 1.19954 | − | 2.03351i | 0.0450496 | − | 0.0763702i | −0.837941 | − | 0.545761i | \(-0.816241\pi\) |
0.882991 | + | 0.469391i | \(0.155526\pi\) | |||||||
\(710\) | −8.73502 | + | 24.9633i | −0.327820 | + | 0.936855i | ||||
\(711\) | −15.2023 | + | 2.72946i | −0.570131 | + | 0.102363i | ||||
\(712\) | −31.7652 | − | 52.7172i | −1.19045 | − | 1.97566i | ||||
\(713\) | 12.9690 | − | 19.0220i | 0.485693 | − | 0.712381i | ||||
\(714\) | 11.0260 | + | 14.7542i | 0.412636 | + | 0.552162i | ||||
\(715\) | −39.0423 | − | 8.91116i | −1.46010 | − | 0.333258i | ||||
\(716\) | 29.2690 | − | 0.547393i | 1.09383 | − | 0.0204570i | ||||
\(717\) | −11.2451 | − | 1.37361i | −0.419957 | − | 0.0512985i | ||||
\(718\) | −20.0689 | − | 0.750925i | −0.748965 | − | 0.0280243i | ||||
\(719\) | −20.6946 | − | 8.34614i | −0.771777 | − | 0.311259i | −0.0457754 | − | 0.998952i | \(-0.514576\pi\) |
−0.726002 | + | 0.687693i | \(0.758623\pi\) | |||||||
\(720\) | 26.2760 | + | 13.5745i | 0.979248 | + | 0.505892i | ||||
\(721\) | 13.2173 | + | 55.5109i | 0.492236 | + | 2.06734i | ||||
\(722\) | −47.0011 | − | 28.3209i | −1.74920 | − | 1.05399i | ||||
\(723\) | 1.96685 | − | 11.5761i | 0.0731480 | − | 0.430519i | ||||
\(724\) | −0.765410 | + | 11.6779i | −0.0284462 | + | 0.434006i | ||||
\(725\) | 2.61390 | − | 7.70031i | 0.0970780 | − | 0.285982i | ||||
\(726\) | −1.58794 | + | 0.473602i | −0.0589341 | + | 0.0175770i | ||||
\(727\) | −12.1939 | − | 1.37392i | −0.452247 | − | 0.0509560i | −0.117096 | − | 0.993121i | \(-0.537359\pi\) |
−0.335151 | + | 0.942165i | \(0.608787\pi\) | |||||||
\(728\) | −63.2338 | − | 17.5787i | −2.34360 | − | 0.651512i | ||||
\(729\) | 0.702810 | − | 12.5147i | 0.0260300 | − | 0.463507i | ||||
\(730\) | −31.4085 | −1.16248 | ||||||||
\(731\) | −25.5530 | + | 8.83412i | −0.945114 | + | 0.326742i | ||||
\(732\) | 2.20314 | 0.0814305 | ||||||||
\(733\) | 0.934912 | − | 16.6477i | 0.0345318 | − | 0.614895i | −0.932646 | − | 0.360793i | \(-0.882506\pi\) |
0.967178 | − | 0.254102i | \(-0.0817798\pi\) | |||||||
\(734\) | 56.8865 | + | 15.8142i | 2.09972 | + | 0.583714i | ||||
\(735\) | −7.64282 | − | 0.861138i | −0.281909 | − | 0.0317636i | ||||
\(736\) | 2.89043 | − | 0.862067i | 0.106543 | − | 0.0317762i | ||||
\(737\) | 1.39281 | − | 4.10309i | 0.0513049 | − | 0.151139i | ||||
\(738\) | 3.70265 | − | 56.4915i | 0.136296 | − | 2.07948i | ||||
\(739\) | −2.42930 | + | 14.2978i | −0.0893633 | + | 0.525954i | 0.905468 | + | 0.424414i | \(0.139520\pi\) |
−0.994831 | + | 0.101540i | \(0.967623\pi\) | |||||||
\(740\) | −79.3838 | − | 47.8334i | −2.91821 | − | 1.75839i | ||||
\(741\) | −3.32764 | − | 13.9757i | −0.122244 | − | 0.513410i | ||||
\(742\) | 79.6317 | + | 41.1387i | 2.92337 | + | 1.51025i | ||||
\(743\) | 5.77273 | + | 2.32815i | 0.211781 | + | 0.0854115i | 0.477473 | − | 0.878646i | \(-0.341553\pi\) |
−0.265692 | + | 0.964058i | \(0.585600\pi\) | |||||||
\(744\) | 15.0039 | + | 0.561408i | 0.550071 | + | 0.0205822i | ||||
\(745\) | 6.59756 | + | 0.805904i | 0.241716 | + | 0.0295261i | ||||
\(746\) | −57.6650 | + | 1.07846i | −2.11126 | + | 0.0394851i | ||||
\(747\) | −1.00028 | − | 0.228307i | −0.0365982 | − | 0.00835330i | ||||
\(748\) | 21.7182 | + | 45.4900i | 0.794096 | + | 1.66328i | ||||
\(749\) | 21.9421 | − | 32.1831i | 0.801746 | − | 1.17595i | ||||
\(750\) | −0.740180 | − | 1.22840i | −0.0270276 | − | 0.0448547i | ||||
\(751\) | −32.2711 | + | 5.79402i | −1.17759 | + | 0.211427i | −0.730404 | − | 0.683015i | \(-0.760668\pi\) |
−0.447184 | + | 0.894442i | \(0.647573\pi\) | |||||||
\(752\) | 3.55404 | − | 10.1569i | 0.129603 | − | 0.370383i | ||||
\(753\) | 0.850423 | − | 1.44168i | 0.0309911 | − | 0.0525376i | ||||
\(754\) | 9.49423 | + | 14.8010i | 0.345760 | + | 0.539019i | ||||
\(755\) | 22.6263 | − | 48.1300i | 0.823455 | − | 1.75163i | ||||
\(756\) | −34.3648 | + | 22.5000i | −1.24984 | + | 0.818315i | ||||
\(757\) | 2.41503 | − | 25.7539i | 0.0877757 | − | 0.936042i | −0.834884 | − | 0.550426i | \(-0.814465\pi\) |
0.922659 | − | 0.385616i | \(-0.126011\pi\) | |||||||
\(758\) | −43.7776 | − | 46.3051i | −1.59007 | − | 1.68188i | ||||
\(759\) | 1.14781 | − | 6.39298i | 0.0416629 | − | 0.232051i | ||||
\(760\) | −73.5866 | + | 57.5660i | −2.66927 | + | 2.08814i | ||||
\(761\) | −1.09988 | + | 29.3950i | −0.0398707 | + | 1.06557i | 0.825489 | + | 0.564418i | \(0.190899\pi\) |
−0.865360 | + | 0.501151i | \(0.832910\pi\) | |||||||
\(762\) | −10.6119 | − | 24.9568i | −0.384429 | − | 0.904091i | ||||
\(763\) | −9.77381 | + | 33.9256i | −0.353836 | + | 1.22819i | ||||
\(764\) | 59.9826 | + | 55.6557i | 2.17009 | + | 2.01355i | ||||
\(765\) | −24.4501 | − | 24.6155i | −0.883995 | − | 0.889976i | ||||
\(766\) | −10.1921 | − | 44.6543i | −0.368254 | − | 1.61343i | ||||
\(767\) | 37.6070 | + | 28.8568i | 1.35791 | + | 1.04196i | ||||
\(768\) | 12.6478 | + | 11.0918i | 0.456386 | + | 0.400240i | ||||
\(769\) | 9.99535 | − | 5.28270i | 0.360442 | − | 0.190499i | −0.277237 | − | 0.960802i | \(-0.589419\pi\) |
0.637678 | + | 0.770303i | \(0.279895\pi\) | |||||||
\(770\) | −76.4836 | − | 24.3775i | −2.75628 | − | 0.878505i | ||||
\(771\) | 1.80349 | + | 14.7643i | 0.0649510 | + | 0.531724i | ||||
\(772\) | −43.1057 | + | 25.4274i | −1.55141 | + | 0.915151i | ||||
\(773\) | −37.1170 | − | 15.3744i | −1.33500 | − | 0.552977i | −0.402926 | − | 0.915233i | \(-0.632007\pi\) |
−0.932079 | + | 0.362256i | \(0.882007\pi\) | |||||||
\(774\) | −11.5593 | − | 41.6410i | −0.415489 | − | 1.49675i | ||||
\(775\) | −23.0568 | − | 15.4060i | −0.828224 | − | 0.553402i | ||||
\(776\) | −38.4634 | − | 9.92173i | −1.38076 | − | 0.356170i | ||||
\(777\) | 12.1761 | − | 6.87892i | 0.436817 | − | 0.246780i | ||||
\(778\) | 6.98313 | − | 61.9770i | 0.250357 | − | 2.22198i | ||||
\(779\) | 48.7156 | + | 26.3326i | 1.74542 | + | 0.943463i | ||||
\(780\) | −26.8893 | − | 3.54005i | −0.962792 | − | 0.126754i | ||||
\(781\) | −5.46085 | − | 9.45847i | −0.195405 | − | 0.338451i | ||||
\(782\) | 38.6975 | + | 0.854253i | 1.38382 | + | 0.0305480i | ||||
\(783\) | 5.32721 | + | 0.802947i | 0.190379 | + | 0.0286950i | ||||
\(784\) | −15.1269 | − | 5.61277i | −0.540247 | − | 0.200456i | ||||
\(785\) | −29.1099 | + | 24.5812i | −1.03898 | + | 0.877339i | ||||
\(786\) | 4.86595 | + | 0.920687i | 0.173563 | + | 0.0328398i | ||||
\(787\) | −17.4800 | − | 4.16202i | −0.623094 | − | 0.148360i | −0.0921202 | − | 0.995748i | \(-0.529364\pi\) |
−0.530974 | + | 0.847388i | \(0.678174\pi\) | |||||||
\(788\) | −8.92757 | − | 32.1140i | −0.318032 | − | 1.14402i | ||||
\(789\) | −6.02614 | − | 8.66357i | −0.214536 | − | 0.308431i | ||||
\(790\) | −35.1354 | − | 24.9299i | −1.25006 | − | 0.886966i | ||||
\(791\) | 49.0849 | + | 4.60285i | 1.74526 | + | 0.163658i | ||||
\(792\) | −36.5801 | + | 14.7528i | −1.29982 | + | 0.524218i | ||||
\(793\) | 4.05211 | − | 1.46056i | 0.143894 | − | 0.0518660i | ||||
\(794\) | −45.0498 | + | 64.7665i | −1.59876 | + | 2.29848i | ||||
\(795\) | 17.1141 | + | 5.98849i | 0.606975 | + | 0.212390i | ||||
\(796\) | −61.2668 | + | 15.8039i | −2.17154 | + | 0.560156i | ||||
\(797\) | 31.2834 | − | 30.1348i | 1.10811 | − | 1.06743i | 0.110826 | − | 0.993840i | \(-0.464650\pi\) |
0.997289 | − | 0.0735879i | \(-0.0234449\pi\) | |||||||
\(798\) | −4.29212 | − | 28.4764i | −0.151939 | − | 1.00805i | ||||
\(799\) | −7.62466 | + | 10.0606i | −0.269741 | + | 0.355919i | ||||
\(800\) | −1.07085 | − | 3.47161i | −0.0378603 | − | 0.122740i | ||||
\(801\) | −35.2303 | + | 5.98588i | −1.24480 | + | 0.211501i | ||||
\(802\) | 32.1135 | + | 20.5996i | 1.13397 | + | 0.727396i | ||||
\(803\) | 8.46044 | − | 9.83120i | 0.298562 | − | 0.346936i | ||||
\(804\) | 0.679719 | − | 2.85474i | 0.0239718 | − | 0.100679i | ||||
\(805\) | −28.5850 | + | 29.1246i | −1.00749 | + | 1.02651i | ||||
\(806\) | 57.1318 | − | 18.2096i | 2.01238 | − | 0.641404i | ||||
\(807\) | 0.167511 | + | 0.365155i | 0.00589668 | + | 0.0128541i | ||||
\(808\) | 1.14533 | − | 1.90077i | 0.0402925 | − | 0.0668690i | ||||
\(809\) | −19.3638 | + | 50.7277i | −0.680794 | + | 1.78349i | −0.0618097 | + | 0.998088i | \(0.519687\pi\) |
−0.618985 | + | 0.785403i | \(0.712456\pi\) | |||||||
\(810\) | 36.7353 | − | 32.2160i | 1.29075 | − | 1.13195i | ||||
\(811\) | 14.3418 | − | 0.940010i | 0.503608 | − | 0.0330082i | 0.188517 | − | 0.982070i | \(-0.439632\pi\) |
0.315090 | + | 0.949062i | \(0.397965\pi\) | |||||||
\(812\) | 10.9043 | + | 20.6319i | 0.382665 | + | 0.724037i | ||||
\(813\) | −3.07531 | − | 5.95285i | −0.107856 | − | 0.208775i | ||||
\(814\) | 54.9143 | − | 18.0701i | 1.92474 | − | 0.633356i | ||||
\(815\) | −27.4488 | + | 56.9979i | −0.961488 | + | 1.99655i | ||||
\(816\) | 4.01155 | + | 6.70859i | 0.140432 | + | 0.234847i | ||||
\(817\) | 41.7369 | + | 6.70650i | 1.46019 | + | 0.234631i | ||||
\(818\) | −73.8983 | + | 30.6097i | −2.58379 | + | 1.07024i | ||||
\(819\) | −22.9140 | + | 30.4474i | −0.800682 | + | 1.06392i | ||||
\(820\) | 79.2403 | − | 68.1918i | 2.76719 | − | 2.38136i | ||||
\(821\) | −2.24263 | + | 7.03618i | −0.0782684 | + | 0.245564i | −0.983965 | − | 0.178362i | \(-0.942920\pi\) |
0.905696 | + | 0.423927i | \(0.139349\pi\) | |||||||
\(822\) | −2.23755 | + | 21.6787i | −0.0780434 | + | 0.756133i | ||||
\(823\) | −13.8329 | − | 28.0503i | −0.482183 | − | 0.977770i | −0.993004 | − | 0.118083i | \(-0.962325\pi\) |
0.510821 | − | 0.859687i | \(-0.329342\pi\) | |||||||
\(824\) | 10.2078 | + | 77.5359i | 0.355606 | + | 2.70109i | ||||
\(825\) | −7.71283 | − | 1.31046i | −0.268526 | − | 0.0456244i | ||||
\(826\) | 70.2560 | + | 63.9761i | 2.44452 | + | 2.22601i | ||||
\(827\) | −14.9682 | + | 24.3237i | −0.520495 | + | 0.845817i | −0.999488 | − | 0.0320020i | \(-0.989812\pi\) |
0.478992 | + | 0.877819i | \(0.341002\pi\) | |||||||
\(828\) | −3.44271 | + | 40.8151i | −0.119642 | + | 1.41842i | ||||
\(829\) | 0.271536 | − | 1.43510i | 0.00943084 | − | 0.0498432i | −0.977535 | − | 0.210773i | \(-0.932402\pi\) |
0.986966 | + | 0.160930i | \(0.0514494\pi\) | |||||||
\(830\) | −1.49984 | − | 2.43727i | −0.0520602 | − | 0.0845990i | ||||
\(831\) | 3.06720 | − | 1.54839i | 0.106400 | − | 0.0537131i | ||||
\(832\) | 34.3485 | + | 13.4808i | 1.19082 | + | 0.467362i | ||||
\(833\) | 14.8685 | + | 11.7125i | 0.515163 | + | 0.405814i | ||||
\(834\) | −11.6999 | + | 3.60893i | −0.405133 | + | 0.124967i | ||||
\(835\) | −4.35805 | + | 20.8868i | −0.150817 | + | 0.722818i | ||||
\(836\) | 3.68319 | − | 78.7276i | 0.127386 | − | 2.72285i | ||||
\(837\) | 7.34653 | − | 16.8384i | 0.253933 | − | 0.582021i | ||||
\(838\) | −55.3478 | − | 32.6488i | −1.91196 | − | 1.12784i | ||||
\(839\) | −21.3043 | − | 28.3084i | −0.735505 | − | 0.977315i | −0.999917 | − | 0.0129051i | \(-0.995892\pi\) |
0.264412 | − | 0.964410i | \(-0.414822\pi\) | |||||||
\(840\) | −26.0009 | − | 5.67931i | −0.897117 | − | 0.195955i | ||||
\(841\) | −6.24389 | + | 25.1766i | −0.215307 | + | 0.868157i | ||||
\(842\) | −40.0013 | − | 61.0951i | −1.37853 | − | 2.10548i | ||||
\(843\) | 3.70652 | − | 12.4276i | 0.127659 | − | 0.428030i | ||||
\(844\) | −1.39657 | + | 49.7755i | −0.0480718 | + | 1.71334i | ||||
\(845\) | −12.3530 | + | 2.69822i | −0.424955 | + | 0.0928217i | ||||
\(846\) | −15.2937 | − | 13.1613i | −0.525809 | − | 0.452495i | ||||
\(847\) | −3.66161 | + | 2.25327i | −0.125814 | + | 0.0774232i | ||||
\(848\) | 31.8225 | + | 20.8354i | 1.09279 | + | 0.715491i | ||||
\(849\) | −4.57083 | + | 5.73165i | −0.156871 | + | 0.196710i | ||||
\(850\) | 0.593087 | − | 46.6181i | 0.0203427 | − | 1.59899i | ||||
\(851\) | 4.38019 | − | 29.0607i | 0.150151 | − | 0.996188i | ||||
\(852\) | −4.28026 | − | 6.03246i | −0.146639 | − | 0.206669i | ||||
\(853\) | −7.60233 | − | 22.3957i | −0.260299 | − | 0.766815i | −0.995987 | − | 0.0894954i | \(-0.971475\pi\) |
0.735688 | − | 0.677320i | \(-0.236859\pi\) | |||||||
\(854\) | 8.33995 | − | 2.23468i | 0.285387 | − | 0.0764692i | ||||
\(855\) | 15.5037 | + | 51.9826i | 0.530217 | + | 1.77777i | ||||
\(856\) | 34.4413 | − | 40.7867i | 1.17718 | − | 1.39406i | ||||
\(857\) | −5.11284 | − | 3.99972i | −0.174651 | − | 0.136628i | 0.525028 | − | 0.851085i | \(-0.324055\pi\) |
−0.699679 | + | 0.714457i | \(0.746674\pi\) | |||||||
\(858\) | 12.6142 | − | 11.2727i | 0.430641 | − | 0.384845i | ||||
\(859\) | 6.07302 | − | 14.6616i | 0.207209 | − | 0.500246i | −0.785773 | − | 0.618515i | \(-0.787735\pi\) |
0.992982 | + | 0.118269i | \(0.0377346\pi\) | |||||||
\(860\) | 39.9273 | − | 69.0966i | 1.36151 | − | 2.35617i | ||||
\(861\) | 3.07749 | + | 15.4716i | 0.104881 | + | 0.527271i | ||||
\(862\) | −4.74680 | − | 33.6231i | −0.161677 | − | 1.14521i | ||||
\(863\) | 17.2834 | + | 20.0837i | 0.588335 | + | 0.683658i | 0.970684 | − | 0.240360i | \(-0.0772655\pi\) |
−0.382348 | + | 0.924018i | \(0.624885\pi\) | |||||||
\(864\) | 2.13838 | − | 1.10471i | 0.0727493 | − | 0.0375832i | ||||
\(865\) | 10.4987 | − | 0.984494i | 0.356965 | − | 0.0334738i | ||||
\(866\) | 12.0111 | + | 6.93462i | 0.408154 | + | 0.235648i | ||||
\(867\) | −2.06372 | − | 8.93432i | −0.0700875 | − | 0.303425i | ||||
\(868\) | 77.5826 | − | 17.7077i | 2.63332 | − | 0.601039i | ||||
\(869\) | 17.2677 | − | 4.28246i | 0.585767 | − | 0.145273i | ||||
\(870\) | 4.18042 | + | 5.77654i | 0.141730 | + | 0.195843i | ||||
\(871\) | −0.642367 | − | 5.70117i | −0.0217658 | − | 0.193177i | ||||
\(872\) | −18.0979 | + | 44.8744i | −0.612872 | + | 1.51964i | ||||
\(873\) | −13.5213 | + | 18.6839i | −0.457627 | + | 0.632353i | ||||
\(874\) | −52.6910 | − | 29.7678i | −1.78230 | − | 1.00691i | ||||
\(875\) | −2.67991 | − | 2.58151i | −0.0905976 | − | 0.0872711i | ||||
\(876\) | 5.08316 | − | 7.16404i | 0.171744 | − | 0.242050i | ||||
\(877\) | −24.5609 | − | 7.32526i | −0.829363 | − | 0.247356i | −0.157019 | − | 0.987596i | \(-0.550189\pi\) |
−0.672344 | + | 0.740239i | \(0.734712\pi\) | |||||||
\(878\) | 56.8653 | + | 24.1797i | 1.91911 | + | 0.816027i | ||||
\(879\) | −7.44103 | − | 8.17145i | −0.250980 | − | 0.275616i | ||||
\(880\) | −31.2239 | − | 13.6228i | −1.05256 | − | 0.459226i | ||||
\(881\) | 0.321689 | + | 1.24708i | 0.0108380 | + | 0.0420154i | 0.973495 | − | 0.228710i | \(-0.0734508\pi\) |
−0.962657 | + | 0.270725i | \(0.912736\pi\) | |||||||
\(882\) | −20.1594 | + | 22.5584i | −0.678803 | + | 0.759581i | ||||
\(883\) | −24.7301 | + | 9.70586i | −0.832235 | + | 0.326628i | −0.742924 | − | 0.669376i | \(-0.766562\pi\) |
−0.0893108 | + | 0.996004i | \(0.528466\pi\) | |||||||
\(884\) | 51.6492 | + | 42.2749i | 1.73715 | + | 1.42186i | ||||
\(885\) | 15.8819 | + | 10.8281i | 0.533864 | + | 0.363983i | ||||
\(886\) | −24.0078 | − | 28.9762i | −0.806557 | − | 0.973476i | ||||
\(887\) | −38.5522 | − | 17.2510i | −1.29446 | − | 0.579231i | −0.359218 | − | 0.933254i | \(-0.616957\pi\) |
−0.935237 | + | 0.354022i | \(0.884814\pi\) | |||||||
\(888\) | 17.5672 | − | 7.66451i | 0.589518 | − | 0.257204i | ||||
\(889\) | −43.3544 | − | 55.4198i | −1.45406 | − | 1.85872i | ||||
\(890\) | −80.7482 | − | 58.4366i | −2.70669 | − | 1.95880i | ||||
\(891\) | 0.188656 | + | 20.1765i | 0.00632020 | + | 0.675939i | ||||
\(892\) | −23.8724 | + | 13.1938i | −0.799306 | + | 0.441761i | ||||
\(893\) | 17.9392 | − | 8.22945i | 0.600313 | − | 0.275388i | ||||
\(894\) | −1.89046 | + | 2.07603i | −0.0632264 | + | 0.0694327i | ||||
\(895\) | 21.1841 | − | 9.47925i | 0.708105 | − | 0.316857i | ||||
\(896\) | 61.5649 | + | 30.3604i | 2.05674 | + | 1.01427i | ||||
\(897\) | −2.22587 | − | 8.30705i | −0.0743195 | − | 0.277364i | ||||
\(898\) | −0.944501 | + | 1.74734i | −0.0315184 | + | 0.0583094i | ||||
\(899\) | −9.13495 | − | 5.04871i | −0.304668 | − | 0.168384i | ||||
\(900\) | 49.1977 | + | 3.68686i | 1.63992 | + | 0.122895i | ||||
\(901\) | −28.0288 | − | 34.7191i | −0.933774 | − | 1.15666i | ||||
\(902\) | 65.2095i | 2.17124i | ||||||||
\(903\) | 6.11421 | + | 10.3739i | 0.203468 | + | 0.345223i | ||||
\(904\) | 66.2681 | + | 13.1815i | 2.20404 | + | 0.438412i | ||||
\(905\) | 3.06432 | + | 8.75733i | 0.101861 | + | 0.291103i | ||||
\(906\) | 11.0510 | + | 19.5609i | 0.367143 | + | 0.649869i | ||||
\(907\) | −13.7907 | − | 11.6452i | −0.457912 | − | 0.386672i | 0.386567 | − | 0.922261i | \(-0.373661\pi\) |
−0.844478 | + | 0.535590i | \(0.820089\pi\) | |||||||
\(908\) | 2.56103 | + | 3.15054i | 0.0849907 | + | 0.104554i | ||||
\(909\) | −0.784372 | − | 1.02221i | −0.0260160 | − | 0.0339047i | ||||
\(910\) | −105.380 | + | 13.8735i | −3.49330 | + | 0.459902i | ||||
\(911\) | −34.5166 | − | 13.1757i | −1.14359 | − | 0.436530i | −0.289766 | − | 0.957097i | \(-0.593578\pi\) |
−0.853821 | + | 0.520567i | \(0.825720\pi\) | |||||||
\(912\) | −0.571126 | − | 12.2077i | −0.0189119 | − | 0.404238i | ||||
\(913\) | 1.16690 | + | 0.187057i | 0.0386189 | + | 0.00619068i | ||||
\(914\) | −82.3255 | + | 9.27586i | −2.72309 | + | 0.306818i | ||||
\(915\) | 1.60735 | − | 0.683464i | 0.0531375 | − | 0.0225946i | ||||
\(916\) | 25.1649 | + | 11.5442i | 0.831472 | + | 0.381430i | ||||
\(917\) | 12.8131 | − | 0.960212i | 0.423127 | − | 0.0317090i | ||||
\(918\) | 30.4679 | − | 5.07108i | 1.00559 | − | 0.167370i | ||||
\(919\) | −2.79566 | + | 12.2486i | −0.0922202 | + | 0.404043i | −0.999877 | − | 0.0156695i | \(-0.995012\pi\) |
0.907657 | + | 0.419713i | \(0.137869\pi\) | |||||||
\(920\) | −43.0670 | + | 35.6824i | −1.41988 | + | 1.17641i | ||||
\(921\) | 3.13122 | − | 3.07320i | 0.103177 | − | 0.101266i | ||||
\(922\) | 40.7014 | + | 30.0390i | 1.34043 | + | 0.989281i | ||||
\(923\) | −11.8716 | − | 8.25757i | −0.390759 | − | 0.271801i | ||||
\(924\) | 17.9385 | − | 13.5001i | 0.590133 | − | 0.444120i | ||||
\(925\) | −35.0509 | − | 4.94836i | −1.15247 | − | 0.162701i | ||||
\(926\) | 85.7611 | + | 1.60392i | 2.81829 | + | 0.0527080i | ||||
\(927\) | 44.0715 | + | 10.9299i | 1.44750 | + | 0.358985i | ||||
\(928\) | −0.511455 | − | 1.26817i | −0.0167893 | − | 0.0416298i | ||||
\(929\) | 34.3270 | − | 18.5550i | 1.12623 | − | 0.608770i | 0.197790 | − | 0.980244i | \(-0.436624\pi\) |
0.928443 | + | 0.371474i | \(0.121148\pi\) | |||||||
\(930\) | 22.7167 | − | 8.67143i | 0.744911 | − | 0.284347i | ||||
\(931\) | −11.8341 | − | 27.1241i | −0.387848 | − | 0.888956i | ||||
\(932\) | −10.6557 | + | 87.2329i | −0.349038 | + | 2.85741i | ||||
\(933\) | −2.41270 | + | 5.25939i | −0.0789881 | + | 0.172185i | ||||
\(934\) | −37.9818 | − | 55.7091i | −1.24280 | − | 1.82286i | ||||
\(935\) | 29.9570 | + | 26.4508i | 0.979699 | + | 0.865034i | ||||
\(936\) | −35.5221 | + | 38.2837i | −1.16108 | + | 1.25134i | ||||
\(937\) | −9.57173 | − | 38.5950i | −0.312695 | − | 1.26084i | −0.894335 | − | 0.447398i | \(-0.852351\pi\) |
0.581640 | − | 0.813446i | \(-0.302411\pi\) | |||||||
\(938\) | −0.322547 | − | 11.4960i | −0.0105315 | − | 0.375358i | ||||
\(939\) | −10.3056 | − | 2.76138i | −0.336311 | − | 0.0901143i | ||||
\(940\) | −2.43690 | − | 37.1799i | −0.0794829 | − | 1.21267i | ||||
\(941\) | 18.2005 | + | 1.87854i | 0.593319 | + | 0.0612388i | 0.394656 | − | 0.918829i | \(-0.370864\pi\) |
0.198663 | + | 0.980068i | \(0.436340\pi\) | |||||||
\(942\) | −1.35280 | − | 16.0381i | −0.0440765 | − | 0.522550i | ||||
\(943\) | 29.5931 | + | 14.9393i | 0.963682 | + | 0.486489i | ||||
\(944\) | 26.8698 | + | 30.0673i | 0.874536 | + | 0.978606i | ||||
\(945\) | −18.0917 | + | 27.0761i | −0.588522 | + | 0.880785i | ||||
\(946\) | 16.4231 | + | 46.9908i | 0.533960 | + | 1.52780i | ||||
\(947\) | −29.9335 | + | 20.0009i | −0.972708 | + | 0.649943i | −0.936967 | − | 0.349418i | \(-0.886379\pi\) |
−0.0357412 | + | 0.999361i | \(0.511379\pi\) | |||||||
\(948\) | 11.3727 | − | 3.97946i | 0.369367 | − | 0.129247i | ||||
\(949\) | 4.59978 | − | 16.5462i | 0.149315 | − | 0.537113i | ||||
\(950\) | −35.2598 | + | 63.7978i | −1.14398 | + | 2.06987i | ||||
\(951\) | 14.0700 | + | 4.34003i | 0.456252 | + | 0.140735i | ||||
\(952\) | 47.0169 | + | 45.5971i | 1.52383 | + | 1.47781i | ||||
\(953\) | 41.9664 | − | 24.2293i | 1.35943 | − | 0.784865i | 0.369880 | − | 0.929080i | \(-0.379399\pi\) |
0.989546 | + | 0.144215i | \(0.0460656\pi\) | |||||||
\(954\) | 58.1671 | − | 41.2717i | 1.88323 | − | 1.33622i | ||||
\(955\) | 61.0273 | + | 21.9970i | 1.97480 | + | 0.711805i | ||||
\(956\) | −82.2320 | + | 3.07690i | −2.65957 | + | 0.0995142i | ||||
\(957\) | −2.93420 | − | 0.247497i | −0.0948491 | − | 0.00800043i | ||||
\(958\) | 28.8323 | + | 28.2981i | 0.931528 | + | 0.914270i | ||||
\(959\) | 8.95015 | + | 55.8331i | 0.289015 | + | 1.80294i | ||||
\(960\) | 14.2131 | + | 4.67694i | 0.458724 | + | 0.150948i | ||||
\(961\) | −3.18556 | + | 3.30699i | −0.102760 | + | 0.106677i | ||||
\(962\) | 55.6226 | − | 52.5866i | 1.79335 | − | 1.69546i | ||||
\(963\) | −14.7385 | − | 27.2663i | −0.474940 | − | 0.878645i | ||||
\(964\) | 0.797460 | − | 85.2876i | 0.0256845 | − | 2.74693i | ||||
\(965\) | −23.5606 | + | 31.9234i | −0.758442 | + | 1.02765i | ||||
\(966\) | −3.04646 | − | 16.9679i | −0.0980182 | − | 0.545934i | ||||
\(967\) | −43.5226 | − | 38.8942i | −1.39959 | − | 1.25075i | −0.929844 | − | 0.367954i | \(-0.880058\pi\) |
−0.469750 | − | 0.882800i | \(-0.655656\pi\) | |||||||
\(968\) | −5.30880 | + | 2.55658i | −0.170631 | + | 0.0821717i | ||||
\(969\) | −3.75725 | + | 13.8355i | −0.120700 | + | 0.444460i | ||||
\(970\) | −63.6110 | + | 9.58781i | −2.04242 | + | 0.307846i | ||||
\(971\) | 25.0051 | + | 5.21733i | 0.802451 | + | 0.167432i | 0.587533 | − | 0.809200i | \(-0.300099\pi\) |
0.214918 | + | 0.976632i | \(0.431052\pi\) | |||||||
\(972\) | 5.11908 | + | 49.5967i | 0.164194 | + | 1.59082i | ||||
\(973\) | −26.8983 | + | 16.9013i | −0.862321 | + | 0.541832i | ||||
\(974\) | 13.4801 | + | 61.7144i | 0.431930 | + | 1.97746i | ||||
\(975\) | −9.98019 | + | 2.77445i | −0.319622 | + | 0.0888536i | ||||
\(976\) | 3.61791 | − | 0.579957i | 0.115806 | − | 0.0185640i | ||||
\(977\) | 0.279495 | + | 1.33954i | 0.00894184 | + | 0.0428555i | 0.983155 | − | 0.182775i | \(-0.0585081\pi\) |
−0.974213 | + | 0.225631i | \(0.927556\pi\) | |||||||
\(978\) | −12.9273 | − | 23.3902i | −0.413370 | − | 0.747936i | ||||
\(979\) | 40.0423 | − | 9.53415i | 1.27976 | − | 0.304713i | ||||
\(980\) | −55.8061 | + | 2.61083i | −1.78266 | + | 0.0834000i | ||||
\(981\) | 20.4145 | + | 19.3002i | 0.651785 | + | 0.616209i | ||||
\(982\) | −4.91407 | + | 18.3396i | −0.156814 | + | 0.585239i | ||||
\(983\) | −12.4385 | + | 14.1834i | −0.396726 | + | 0.452380i | −0.915372 | − | 0.402610i | \(-0.868103\pi\) |
0.518645 | + | 0.854989i | \(0.326437\pi\) | |||||||
\(984\) | 2.01846 | + | 21.5249i | 0.0643462 | + | 0.686190i | ||||
\(985\) | −16.4758 | − | 20.6600i | −0.524962 | − | 0.658282i | ||||
\(986\) | −1.25235 | − | 17.5031i | −0.0398829 | − | 0.557413i | ||||
\(987\) | 5.06544 | + | 2.43939i | 0.161235 | + | 0.0776465i | ||||
\(988\) | −39.9348 | − | 96.4111i | −1.27049 | − | 3.06725i | ||||
\(989\) | 25.0876 | + | 3.31237i | 0.797738 | + | 0.105327i | ||||
\(990\) | −45.1678 | + | 45.1678i | −1.43553 | + | 1.43553i | ||||
\(991\) | −22.0573 | + | 3.11397i | −0.700673 | + | 0.0989185i | −0.481085 | − | 0.876674i | \(-0.659757\pi\) |
−0.219588 | + | 0.975593i | \(0.570471\pi\) | |||||||
\(992\) | −4.62859 | + | 0.565391i | −0.146958 | + | 0.0179512i | ||||
\(993\) | 9.29734 | − | 0.784221i | 0.295042 | − | 0.0248865i | ||||
\(994\) | −22.3216 | − | 18.4942i | −0.707999 | − | 0.586601i | ||||
\(995\) | −39.7959 | + | 30.5364i | −1.26161 | + | 0.968070i | ||||
\(996\) | 0.798659 | + | 0.0523469i | 0.0253065 | + | 0.00165867i | ||||
\(997\) | 20.0029 | + | 44.7020i | 0.633497 | + | 1.41573i | 0.893032 | + | 0.449994i | \(0.148574\pi\) |
−0.259534 | + | 0.965734i | \(0.583569\pi\) | |||||||
\(998\) | 9.53376 | − | 4.48189i | 0.301786 | − | 0.141872i | ||||
\(999\) | −0.876881 | − | 23.4351i | −0.0277433 | − | 0.741455i |
(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 | 731.2.bm.a.3.5 | ✓ | 6144 | |
17.6 | odd | 16 | inner | 731.2.bm.a.261.5 | yes | 6144 | |
43.29 | odd | 42 | inner | 731.2.bm.a.717.5 | yes | 6144 | |
731.244 | even | 336 | inner | 731.2.bm.a.244.5 | yes | 6144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.bm.a.3.5 | ✓ | 6144 | 1.1 | even | 1 | trivial | |
731.2.bm.a.244.5 | yes | 6144 | 731.244 | even | 336 | inner | |
731.2.bm.a.261.5 | yes | 6144 | 17.6 | odd | 16 | inner | |
731.2.bm.a.717.5 | yes | 6144 | 43.29 | odd | 42 | inner |