Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [164,2,Mod(7,164)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(164, base_ring=CyclotomicField(40))
chi = DirichletCharacter(H, H._module([20, 39]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("164.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 164 = 2^{2} \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 164.o (of order \(40\), degree \(16\), 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: | \(1.30954659315\) |
Analytic rank: | \(0\) |
Dimension: | \(288\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{40})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{40}]$ |
Embedding invariants
Embedding label | 111.3 | ||
Character | \(\chi\) | \(=\) | 164.111 |
Dual form | 164.2.o.b.99.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/164\mathbb{Z}\right)^\times\).
\(n\) | \(83\) | \(129\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{7}{40}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.24842 | + | 0.664422i | −0.882764 | + | 0.469817i | ||||
\(3\) | −0.971394 | − | 0.402365i | −0.560835 | − | 0.232305i | 0.0842128 | − | 0.996448i | \(-0.473162\pi\) |
−0.645048 | + | 0.764142i | \(0.723162\pi\) | |||||||
\(4\) | 1.11709 | − | 1.65895i | 0.558543 | − | 0.829475i | ||||
\(5\) | −1.22084 | + | 0.622051i | −0.545978 | + | 0.278190i | −0.705146 | − | 0.709062i | \(-0.749119\pi\) |
0.159169 | + | 0.987251i | \(0.449119\pi\) | |||||||
\(6\) | 1.48004 | − | 0.143097i | 0.604226 | − | 0.0584191i | ||||
\(7\) | −0.0357653 | − | 0.0583637i | −0.0135180 | − | 0.0220594i | 0.845810 | − | 0.533485i | \(-0.179118\pi\) |
−0.859328 | + | 0.511425i | \(0.829118\pi\) | |||||||
\(8\) | −0.292346 | + | 2.81328i | −0.103360 | + | 0.994644i | ||||
\(9\) | −1.33961 | − | 1.33961i | −0.446537 | − | 0.446537i | ||||
\(10\) | 1.11082 | − | 1.58773i | 0.351271 | − | 0.502085i | ||||
\(11\) | −5.58920 | − | 0.439880i | −1.68521 | − | 0.132629i | −0.800673 | − | 0.599102i | \(-0.795525\pi\) |
−0.884536 | + | 0.466473i | \(0.845525\pi\) | |||||||
\(12\) | −1.75263 | + | 1.16202i | −0.505942 | + | 0.335446i | ||||
\(13\) | −1.03765 | − | 4.32214i | −0.287793 | − | 1.19875i | −0.909570 | − | 0.415551i | \(-0.863589\pi\) |
0.621776 | − | 0.783195i | \(-0.286411\pi\) | |||||||
\(14\) | 0.0834282 | + | 0.0490989i | 0.0222971 | + | 0.0131222i | ||||
\(15\) | 1.43621 | − | 0.113032i | 0.370828 | − | 0.0291848i | ||||
\(16\) | −1.50423 | − | 3.70638i | −0.376058 | − | 0.926596i | ||||
\(17\) | 1.66925 | − | 1.42567i | 0.404852 | − | 0.345776i | −0.423587 | − | 0.905855i | \(-0.639229\pi\) |
0.828439 | + | 0.560079i | \(0.189229\pi\) | |||||||
\(18\) | 2.56246 | + | 0.782325i | 0.603977 | + | 0.184396i | ||||
\(19\) | −1.78685 | − | 0.428985i | −0.409932 | − | 0.0984159i | 0.0232343 | − | 0.999730i | \(-0.492604\pi\) |
−0.433166 | + | 0.901314i | \(0.642604\pi\) | |||||||
\(20\) | −0.331837 | + | 2.72020i | −0.0742009 | + | 0.608256i | ||||
\(21\) | 0.0112587 | + | 0.0710849i | 0.00245686 | + | 0.0155120i | ||||
\(22\) | 7.26992 | − | 3.16444i | 1.54995 | − | 0.674660i | ||||
\(23\) | −0.143714 | + | 0.104414i | −0.0299664 | + | 0.0217718i | −0.602668 | − | 0.797992i | \(-0.705896\pi\) |
0.572701 | + | 0.819764i | \(0.305896\pi\) | |||||||
\(24\) | 1.41595 | − | 2.61517i | 0.289029 | − | 0.533820i | ||||
\(25\) | −1.83542 | + | 2.52623i | −0.367083 | + | 0.505246i | ||||
\(26\) | 4.16715 | + | 4.70639i | 0.817245 | + | 0.922999i | ||||
\(27\) | 1.96937 | + | 4.75449i | 0.379006 | + | 0.915001i | ||||
\(28\) | −0.136775 | − | 0.00586442i | −0.0258481 | − | 0.00110827i | ||||
\(29\) | −4.48448 | − | 3.83011i | −0.832748 | − | 0.711234i | 0.127059 | − | 0.991895i | \(-0.459446\pi\) |
−0.959807 | + | 0.280661i | \(0.909446\pi\) | |||||||
\(30\) | −1.71789 | + | 1.09536i | −0.313642 | + | 0.199985i | ||||
\(31\) | −0.761616 | − | 2.34401i | −0.136790 | − | 0.420997i | 0.859074 | − | 0.511852i | \(-0.171040\pi\) |
−0.995864 | + | 0.0908543i | \(0.971040\pi\) | |||||||
\(32\) | 4.34051 | + | 3.62766i | 0.767302 | + | 0.641286i | ||||
\(33\) | 5.25233 | + | 2.67620i | 0.914313 | + | 0.465866i | ||||
\(34\) | −1.13667 | + | 2.88892i | −0.194937 | + | 0.495445i | ||||
\(35\) | 0.0799690 | + | 0.0490051i | 0.0135172 | + | 0.00828337i | ||||
\(36\) | −3.71881 | + | 0.725886i | −0.619802 | + | 0.120981i | ||||
\(37\) | −1.58795 | + | 4.88721i | −0.261057 | + | 0.803452i | 0.731518 | + | 0.681822i | \(0.238812\pi\) |
−0.992576 | + | 0.121630i | \(0.961188\pi\) | |||||||
\(38\) | 2.51576 | − | 0.651671i | 0.408110 | − | 0.105715i | ||||
\(39\) | −0.731105 | + | 4.61602i | −0.117071 | + | 0.739154i | ||||
\(40\) | −1.39309 | − | 3.61643i | −0.220267 | − | 0.571807i | ||||
\(41\) | 4.25278 | + | 4.78684i | 0.664173 | + | 0.747579i | ||||
\(42\) | −0.0612860 | − | 0.0812630i | −0.00945663 | − | 0.0125391i | ||||
\(43\) | 11.3727 | + | 1.80126i | 1.73432 | + | 0.274689i | 0.942047 | − | 0.335480i | \(-0.108899\pi\) |
0.792271 | + | 0.610169i | \(0.208899\pi\) | |||||||
\(44\) | −6.97337 | + | 8.78083i | −1.05127 | + | 1.32376i | ||||
\(45\) | 2.46876 | + | 0.802149i | 0.368021 | + | 0.119577i | ||||
\(46\) | 0.110039 | − | 0.225839i | 0.0162244 | − | 0.0332981i | ||||
\(47\) | −2.70915 | + | 4.42093i | −0.395170 | + | 0.644859i | −0.986910 | − | 0.161270i | \(-0.948441\pi\) |
0.591741 | + | 0.806129i | \(0.298441\pi\) | |||||||
\(48\) | −0.0301136 | + | 4.20561i | −0.00434653 | + | 0.607028i | ||||
\(49\) | 3.17581 | − | 6.23287i | 0.453687 | − | 0.890410i | ||||
\(50\) | 0.612878 | − | 4.37328i | 0.0866740 | − | 0.618475i | ||||
\(51\) | −2.19514 | + | 0.713244i | −0.307381 | + | 0.0998741i | ||||
\(52\) | −8.32937 | − | 3.10679i | −1.15508 | − | 0.430834i | ||||
\(53\) | 2.51926 | − | 2.94968i | 0.346048 | − | 0.405170i | −0.559900 | − | 0.828560i | \(-0.689160\pi\) |
0.905947 | + | 0.423391i | \(0.139160\pi\) | |||||||
\(54\) | −5.61758 | − | 4.62708i | −0.764456 | − | 0.629666i | ||||
\(55\) | 7.09717 | − | 2.93974i | 0.956982 | − | 0.396395i | ||||
\(56\) | 0.174649 | − | 0.0835554i | 0.0233385 | − | 0.0111656i | ||||
\(57\) | 1.56313 | + | 1.13568i | 0.207041 | + | 0.150424i | ||||
\(58\) | 8.14331 | + | 1.80198i | 1.06927 | + | 0.236612i | ||||
\(59\) | −2.06637 | − | 2.84412i | −0.269019 | − | 0.370273i | 0.653039 | − | 0.757324i | \(-0.273494\pi\) |
−0.922058 | + | 0.387051i | \(0.873494\pi\) | |||||||
\(60\) | 1.41686 | − | 2.50887i | 0.182916 | − | 0.323894i | ||||
\(61\) | −12.9068 | + | 2.04423i | −1.65254 | + | 0.261737i | −0.911974 | − | 0.410247i | \(-0.865443\pi\) |
−0.740566 | + | 0.671984i | \(0.765443\pi\) | |||||||
\(62\) | 2.50823 | + | 2.42027i | 0.318545 | + | 0.307375i | ||||
\(63\) | −0.0302730 | + | 0.126096i | −0.00381404 | + | 0.0158866i | ||||
\(64\) | −7.82907 | − | 1.64490i | −0.978633 | − | 0.205613i | ||||
\(65\) | 3.95540 | + | 4.63118i | 0.490607 | + | 0.574427i | ||||
\(66\) | −8.33522 | + | 0.148757i | −1.02599 | + | 0.0183107i | ||||
\(67\) | −0.475543 | − | 6.04235i | −0.0580969 | − | 0.738191i | −0.955122 | − | 0.296212i | \(-0.904277\pi\) |
0.897025 | − | 0.441979i | \(-0.145723\pi\) | |||||||
\(68\) | −0.500425 | − | 4.36180i | −0.0606855 | − | 0.528946i | ||||
\(69\) | 0.181615 | − | 0.0436020i | 0.0218639 | − | 0.00524906i | ||||
\(70\) | −0.132395 | − | 0.00804557i | −0.0158242 | − | 0.000961629i | ||||
\(71\) | 0.555766 | − | 7.06167i | 0.0659572 | − | 0.838066i | −0.871596 | − | 0.490225i | \(-0.836915\pi\) |
0.937553 | − | 0.347841i | \(-0.113085\pi\) | |||||||
\(72\) | 4.16033 | − | 3.37707i | 0.490299 | − | 0.397991i | ||||
\(73\) | 2.30026 | − | 2.30026i | 0.269225 | − | 0.269225i | −0.559563 | − | 0.828788i | \(-0.689031\pi\) |
0.828788 | + | 0.559563i | \(0.189031\pi\) | |||||||
\(74\) | −1.26475 | − | 7.15634i | −0.147024 | − | 0.831907i | ||||
\(75\) | 2.79938 | − | 1.71546i | 0.323244 | − | 0.198084i | ||||
\(76\) | −2.70773 | + | 2.48508i | −0.310598 | + | 0.285059i | ||||
\(77\) | 0.174227 | + | 0.341939i | 0.0198550 | + | 0.0389676i | ||||
\(78\) | −2.15426 | − | 6.24847i | −0.243922 | − | 0.707500i | ||||
\(79\) | 4.26313 | − | 10.2921i | 0.479640 | − | 1.15795i | −0.480138 | − | 0.877193i | \(-0.659413\pi\) |
0.959778 | − | 0.280760i | \(-0.0905866\pi\) | |||||||
\(80\) | 4.14199 | + | 3.58920i | 0.463089 | + | 0.401285i | ||||
\(81\) | 0.272601i | 0.0302890i | ||||||||
\(82\) | −8.48972 | − | 3.15033i | −0.937533 | − | 0.347896i | ||||
\(83\) | 0.680085i | 0.0746490i | 0.999303 | + | 0.0373245i | \(0.0118835\pi\) | ||||
−0.999303 | + | 0.0373245i | \(0.988116\pi\) | |||||||
\(84\) | 0.130503 | + | 0.0607303i | 0.0142391 | + | 0.00662622i | ||||
\(85\) | −1.15105 | + | 2.77888i | −0.124849 | + | 0.301412i | ||||
\(86\) | −15.3946 | + | 5.30754i | −1.66005 | + | 0.572327i | ||||
\(87\) | 2.81510 | + | 5.52495i | 0.301810 | + | 0.592336i | ||||
\(88\) | 2.87149 | − | 15.5954i | 0.306102 | − | 1.66247i | ||||
\(89\) | −3.76682 | + | 2.30831i | −0.399282 | + | 0.244680i | −0.707615 | − | 0.706598i | \(-0.750229\pi\) |
0.308333 | + | 0.951279i | \(0.400229\pi\) | |||||||
\(90\) | −3.61501 | + | 0.638883i | −0.381055 | + | 0.0673442i | ||||
\(91\) | −0.215144 | + | 0.215144i | −0.0225532 | + | 0.0225532i | ||||
\(92\) | 0.0126772 | + | 0.355054i | 0.00132169 | + | 0.0370169i | ||||
\(93\) | −0.203319 | + | 2.58341i | −0.0210832 | + | 0.267887i | ||||
\(94\) | 0.444783 | − | 7.31918i | 0.0458759 | − | 0.754915i | ||||
\(95\) | 2.44832 | − | 0.587789i | 0.251192 | − | 0.0603058i | ||||
\(96\) | −2.75671 | − | 5.27036i | −0.281355 | − | 0.537904i | ||||
\(97\) | 0.411057 | + | 5.22298i | 0.0417366 | + | 0.530313i | 0.981876 | + | 0.189524i | \(0.0606944\pi\) |
−0.940140 | + | 0.340790i | \(0.889306\pi\) | |||||||
\(98\) | 0.176528 | + | 9.89129i | 0.0178320 | + | 0.999172i | ||||
\(99\) | 6.89809 | + | 8.07663i | 0.693284 | + | 0.811731i | ||||
\(100\) | 2.14058 | + | 5.86688i | 0.214058 | + | 0.586688i | ||||
\(101\) | 0.152737 | − | 0.636197i | 0.0151979 | − | 0.0633040i | −0.964256 | − | 0.264974i | \(-0.914637\pi\) |
0.979454 | + | 0.201670i | \(0.0646367\pi\) | |||||||
\(102\) | 2.26655 | − | 2.34892i | 0.224422 | − | 0.232578i | ||||
\(103\) | −5.78905 | + | 0.916895i | −0.570412 | + | 0.0903444i | −0.434976 | − | 0.900442i | \(-0.643243\pi\) |
−0.135435 | + | 0.990786i | \(0.543243\pi\) | |||||||
\(104\) | 12.4627 | − | 1.65565i | 1.22207 | − | 0.162350i | ||||
\(105\) | −0.0579636 | − | 0.0797800i | −0.00565666 | − | 0.00778573i | ||||
\(106\) | −1.18526 | + | 5.35628i | −0.115123 | + | 0.520248i | ||||
\(107\) | −13.3163 | − | 9.67487i | −1.28734 | − | 0.935305i | −0.287589 | − | 0.957754i | \(-0.592854\pi\) |
−0.999748 | + | 0.0224486i | \(0.992854\pi\) | |||||||
\(108\) | 10.0874 | + | 2.04408i | 0.970662 | + | 0.196692i | ||||
\(109\) | −17.0831 | + | 7.07607i | −1.63627 | + | 0.677764i | −0.995913 | − | 0.0903154i | \(-0.971213\pi\) |
−0.640354 | + | 0.768080i | \(0.721213\pi\) | |||||||
\(110\) | −6.90699 | + | 8.38554i | −0.658556 | + | 0.799530i | ||||
\(111\) | 3.50897 | − | 4.10847i | 0.333056 | − | 0.389959i | ||||
\(112\) | −0.162519 | + | 0.220353i | −0.0153566 | + | 0.0208214i | ||||
\(113\) | 9.09036 | − | 2.95364i | 0.855149 | − | 0.277855i | 0.151548 | − | 0.988450i | \(-0.451574\pi\) |
0.703601 | + | 0.710595i | \(0.251574\pi\) | |||||||
\(114\) | −2.70601 | − | 0.379224i | −0.253441 | − | 0.0355176i | ||||
\(115\) | 0.110501 | − | 0.216870i | 0.0103043 | − | 0.0202233i | ||||
\(116\) | −11.3635 | + | 3.16097i | −1.05508 | + | 0.293489i | ||||
\(117\) | −4.39993 | + | 7.18004i | −0.406774 | + | 0.663795i | ||||
\(118\) | 4.46939 | + | 2.17770i | 0.411441 | + | 0.200474i | ||||
\(119\) | −0.142909 | − | 0.0464339i | −0.0131004 | − | 0.00425659i | ||||
\(120\) | −0.101880 | + | 4.07351i | −0.00930031 | + | 0.371859i | ||||
\(121\) | 20.1811 | + | 3.19638i | 1.83465 | + | 0.290580i | ||||
\(122\) | 14.7548 | − | 11.1276i | 1.33583 | − | 1.00744i | ||||
\(123\) | −2.20507 | − | 6.36108i | −0.198825 | − | 0.573559i | ||||
\(124\) | −4.73940 | − | 1.35498i | −0.425610 | − | 0.121681i | ||||
\(125\) | 1.74103 | − | 10.9924i | 0.155722 | − | 0.983193i | ||||
\(126\) | −0.0459878 | − | 0.177535i | −0.00409692 | − | 0.0158161i | ||||
\(127\) | −0.888477 | + | 2.73445i | −0.0788396 | + | 0.242643i | −0.982706 | − | 0.185171i | \(-0.940716\pi\) |
0.903867 | + | 0.427814i | \(0.140716\pi\) | |||||||
\(128\) | 10.8668 | − | 3.14828i | 0.960502 | − | 0.278271i | ||||
\(129\) | −10.3226 | − | 6.32570i | −0.908854 | − | 0.556947i | ||||
\(130\) | −8.01505 | − | 3.15359i | −0.702966 | − | 0.276588i | ||||
\(131\) | −1.52348 | − | 0.776254i | −0.133107 | − | 0.0678216i | 0.386169 | − | 0.922428i | \(-0.373798\pi\) |
−0.519276 | + | 0.854607i | \(0.673798\pi\) | |||||||
\(132\) | 10.3070 | − | 5.72381i | 0.897108 | − | 0.498194i | ||||
\(133\) | 0.0388702 | + | 0.119630i | 0.00337047 | + | 0.0103732i | ||||
\(134\) | 4.60835 | + | 7.22741i | 0.398101 | + | 0.624353i | ||||
\(135\) | −5.36183 | − | 4.57943i | −0.461472 | − | 0.394135i | ||||
\(136\) | 3.52281 | + | 5.11285i | 0.302079 | + | 0.438423i | ||||
\(137\) | −5.94306 | − | 14.3478i | −0.507750 | − | 1.22582i | −0.945176 | − | 0.326562i | \(-0.894110\pi\) |
0.437426 | − | 0.899255i | \(-0.355890\pi\) | |||||||
\(138\) | −0.197761 | + | 0.175103i | −0.0168346 | + | 0.0149057i | ||||
\(139\) | −8.19150 | + | 11.2746i | −0.694794 | + | 0.956301i | 0.305198 | + | 0.952289i | \(0.401277\pi\) |
−0.999992 | + | 0.00401251i | \(0.998723\pi\) | |||||||
\(140\) | 0.170629 | − | 0.0779217i | 0.0144208 | − | 0.00658559i | ||||
\(141\) | 4.41048 | − | 3.20440i | 0.371429 | − | 0.269859i | ||||
\(142\) | 3.99810 | + | 9.18517i | 0.335513 | + | 0.770802i | ||||
\(143\) | 3.89844 | + | 24.6138i | 0.326004 | + | 2.05831i | ||||
\(144\) | −2.95002 | + | 6.98020i | −0.245835 | + | 0.581683i | ||||
\(145\) | 7.85737 | + | 1.88639i | 0.652519 | + | 0.156656i | ||||
\(146\) | −1.34334 | + | 4.40002i | −0.111175 | + | 0.364149i | ||||
\(147\) | −5.59285 | + | 4.77674i | −0.461290 | + | 0.393979i | ||||
\(148\) | 6.33376 | + | 8.09377i | 0.520632 | + | 0.665303i | ||||
\(149\) | 13.9170 | − | 1.09529i | 1.14013 | − | 0.0897301i | 0.505698 | − | 0.862710i | \(-0.331235\pi\) |
0.634430 | + | 0.772980i | \(0.281235\pi\) | |||||||
\(150\) | −2.35500 | + | 4.00158i | −0.192285 | + | 0.326728i | ||||
\(151\) | 2.98930 | + | 12.4513i | 0.243266 | + | 1.01327i | 0.951586 | + | 0.307383i | \(0.0994533\pi\) |
−0.708320 | + | 0.705891i | \(0.750547\pi\) | |||||||
\(152\) | 1.72923 | − | 4.90150i | 0.140259 | − | 0.397564i | ||||
\(153\) | −4.14599 | − | 0.326296i | −0.335183 | − | 0.0263795i | ||||
\(154\) | −0.444699 | − | 0.311122i | −0.0358349 | − | 0.0250710i | ||||
\(155\) | 2.38791 | + | 2.38791i | 0.191802 | + | 0.191802i | ||||
\(156\) | 6.84104 | + | 6.36936i | 0.547721 | + | 0.509957i | ||||
\(157\) | −0.598934 | − | 0.977371i | −0.0478001 | − | 0.0780027i | 0.827848 | − | 0.560953i | \(-0.189565\pi\) |
−0.875648 | + | 0.482950i | \(0.839565\pi\) | |||||||
\(158\) | 1.51614 | + | 15.6814i | 0.120618 | + | 1.24754i | ||||
\(159\) | −3.63405 | + | 1.85164i | −0.288199 | + | 0.146845i | ||||
\(160\) | −7.55568 | − | 1.72879i | −0.597329 | − | 0.136673i | ||||
\(161\) | 0.0112340 | + | 0.00465326i | 0.000885360 | + | 0.000366728i | ||||
\(162\) | −0.181122 | − | 0.340320i | −0.0142303 | − | 0.0267380i | ||||
\(163\) | 16.8781 | 1.32200 | 0.660999 | − | 0.750387i | \(-0.270133\pi\) | ||||
0.660999 | + | 0.750387i | \(0.270133\pi\) | |||||||
\(164\) | 12.6919 | − | 1.70784i | 0.991068 | − | 0.133360i | ||||
\(165\) | −8.07700 | −0.628794 | ||||||||
\(166\) | −0.451863 | − | 0.849029i | −0.0350714 | − | 0.0658974i | ||||
\(167\) | −22.2590 | − | 9.21999i | −1.72246 | − | 0.713465i | −0.999751 | − | 0.0223074i | \(-0.992899\pi\) |
−0.722705 | − | 0.691157i | \(-0.757101\pi\) | |||||||
\(168\) | −0.203273 | + | 0.0108926i | −0.0156829 | + | 0.000840380i | ||||
\(169\) | −6.02108 | + | 3.06789i | −0.463160 | + | 0.235992i | ||||
\(170\) | −0.409360 | − | 4.23398i | −0.0313964 | − | 0.324732i | ||||
\(171\) | 1.81901 | + | 2.96836i | 0.139103 | + | 0.226996i | ||||
\(172\) | 15.6925 | − | 16.8546i | 1.19654 | − | 1.28515i | ||||
\(173\) | −14.1769 | − | 14.1769i | −1.07785 | − | 1.07785i | −0.996702 | − | 0.0811479i | \(-0.974141\pi\) |
−0.0811479 | − | 0.996702i | \(-0.525859\pi\) | |||||||
\(174\) | −7.18531 | − | 5.02702i | −0.544717 | − | 0.381097i | ||||
\(175\) | 0.213085 | + | 0.0167701i | 0.0161077 | + | 0.00126770i | ||||
\(176\) | 6.77711 | + | 21.3774i | 0.510844 | + | 1.61138i | ||||
\(177\) | 0.862891 | + | 3.59420i | 0.0648588 | + | 0.270156i | ||||
\(178\) | 3.16887 | − | 5.38449i | 0.237517 | − | 0.403585i | ||||
\(179\) | 15.7323 | − | 1.23816i | 1.17589 | − | 0.0925442i | 0.524581 | − | 0.851361i | \(-0.324222\pi\) |
0.651305 | + | 0.758816i | \(0.274222\pi\) | |||||||
\(180\) | 4.08855 | − | 3.19948i | 0.304742 | − | 0.238475i | ||||
\(181\) | 16.0722 | − | 13.7270i | 1.19464 | − | 1.02032i | 0.195423 | − | 0.980719i | \(-0.437392\pi\) |
0.999216 | − | 0.0395989i | \(-0.0126080\pi\) | |||||||
\(182\) | 0.125643 | − | 0.411536i | 0.00931327 | − | 0.0305051i | ||||
\(183\) | 13.3601 | + | 3.20747i | 0.987605 | + | 0.237103i | ||||
\(184\) | −0.251732 | − | 0.434832i | −0.0185579 | − | 0.0320562i | ||||
\(185\) | −1.10145 | − | 6.95430i | −0.0809804 | − | 0.511290i | ||||
\(186\) | −1.46265 | − | 3.36026i | −0.107247 | − | 0.246386i | ||||
\(187\) | −9.95689 | + | 7.23411i | −0.728120 | + | 0.529010i | ||||
\(188\) | 4.30775 | + | 9.43290i | 0.314175 | + | 0.687965i | ||||
\(189\) | 0.207054 | − | 0.284986i | 0.0150610 | − | 0.0207297i | ||||
\(190\) | −2.66598 | + | 2.36052i | −0.193410 | + | 0.171250i | ||||
\(191\) | −4.52455 | − | 10.9232i | −0.327385 | − | 0.790378i | −0.998785 | − | 0.0492825i | \(-0.984307\pi\) |
0.671400 | − | 0.741096i | \(-0.265693\pi\) | |||||||
\(192\) | 6.94326 | + | 4.74799i | 0.501087 | + | 0.342657i | ||||
\(193\) | 0.777658 | + | 0.664183i | 0.0559771 | + | 0.0478089i | 0.676997 | − | 0.735986i | \(-0.263281\pi\) |
−0.621019 | + | 0.783795i | \(0.713281\pi\) | |||||||
\(194\) | −3.98343 | − | 6.24734i | −0.285994 | − | 0.448533i | ||||
\(195\) | −1.97883 | − | 6.09022i | −0.141707 | − | 0.436130i | ||||
\(196\) | −6.79237 | − | 12.2312i | −0.485170 | − | 0.873655i | ||||
\(197\) | −1.35754 | − | 0.691699i | −0.0967204 | − | 0.0492815i | 0.404961 | − | 0.914334i | \(-0.367285\pi\) |
−0.501681 | + | 0.865052i | \(0.667285\pi\) | |||||||
\(198\) | −13.9780 | − | 5.49975i | −0.993372 | − | 0.390850i | ||||
\(199\) | −21.1179 | − | 12.9411i | −1.49701 | − | 0.917369i | −0.998732 | − | 0.0503524i | \(-0.983966\pi\) |
−0.498279 | − | 0.867017i | \(-0.666034\pi\) | |||||||
\(200\) | −6.57042 | − | 5.90207i | −0.464599 | − | 0.417339i | ||||
\(201\) | −1.96929 | + | 6.06085i | −0.138903 | + | 0.427499i | ||||
\(202\) | 0.232024 | + | 0.895721i | 0.0163251 | + | 0.0630227i | ||||
\(203\) | −0.0631505 | + | 0.398716i | −0.00443229 | + | 0.0279844i | ||||
\(204\) | −1.26892 | + | 4.43838i | −0.0888425 | + | 0.310749i | ||||
\(205\) | −8.16964 | − | 3.19854i | −0.570592 | − | 0.223395i | ||||
\(206\) | 6.61794 | − | 4.99104i | 0.461093 | − | 0.347742i | ||||
\(207\) | 0.332395 | + | 0.0526461i | 0.0231030 | + | 0.00365916i | ||||
\(208\) | −14.4586 | + | 10.3475i | −1.00253 | + | 0.717467i | ||||
\(209\) | 9.79837 | + | 3.18368i | 0.677768 | + | 0.220220i | ||||
\(210\) | 0.125370 | + | 0.0610864i | 0.00865137 | + | 0.00421536i | ||||
\(211\) | 5.56544 | − | 9.08197i | 0.383141 | − | 0.625229i | −0.601694 | − | 0.798727i | \(-0.705507\pi\) |
0.984834 | + | 0.173498i | \(0.0555072\pi\) | |||||||
\(212\) | −2.07914 | − | 7.47438i | −0.142796 | − | 0.513343i | ||||
\(213\) | −3.38123 | + | 6.63605i | −0.231678 | + | 0.454694i | ||||
\(214\) | 23.0525 | + | 3.23061i | 1.57584 | + | 0.220840i | ||||
\(215\) | −15.0047 | + | 4.87534i | −1.02331 | + | 0.332495i | ||||
\(216\) | −13.9514 | + | 4.15044i | −0.949274 | + | 0.282401i | ||||
\(217\) | −0.109566 | + | 0.128285i | −0.00743782 | + | 0.00870857i | ||||
\(218\) | 16.6254 | − | 20.1843i | 1.12601 | − | 1.36705i | ||||
\(219\) | −3.16000 | + | 1.30892i | −0.213533 | + | 0.0884483i | ||||
\(220\) | 3.05127 | − | 15.0578i | 0.205716 | − | 1.01520i | ||||
\(221\) | −7.89406 | − | 5.73537i | −0.531012 | − | 0.385803i | ||||
\(222\) | −1.65089 | + | 7.46052i | −0.110801 | + | 0.500717i | ||||
\(223\) | 4.15170 | + | 5.71432i | 0.278018 | + | 0.382659i | 0.925076 | − | 0.379782i | \(-0.124001\pi\) |
−0.647058 | + | 0.762441i | \(0.724001\pi\) | |||||||
\(224\) | 0.0564841 | − | 0.383073i | 0.00377400 | − | 0.0255951i | ||||
\(225\) | 5.84291 | − | 0.925426i | 0.389527 | − | 0.0616951i | ||||
\(226\) | −9.38609 | + | 9.72720i | −0.624353 | + | 0.647044i | ||||
\(227\) | −6.38700 | + | 26.6038i | −0.423920 | + | 1.76575i | 0.195509 | + | 0.980702i | \(0.437364\pi\) |
−0.619429 | + | 0.785053i | \(0.712636\pi\) | |||||||
\(228\) | 3.63019 | − | 1.32450i | 0.240415 | − | 0.0877172i | ||||
\(229\) | −9.62234 | − | 11.2663i | −0.635862 | − | 0.744499i | 0.345128 | − | 0.938556i | \(-0.387835\pi\) |
−0.980990 | + | 0.194057i | \(0.937835\pi\) | |||||||
\(230\) | 0.00614222 | + | 0.344164i | 0.000405006 | + | 0.0226935i | ||||
\(231\) | −0.0316586 | − | 0.402260i | −0.00208298 | − | 0.0264668i | ||||
\(232\) | 12.0862 | − | 11.4964i | 0.793497 | − | 0.754774i | ||||
\(233\) | −1.48172 | + | 0.355731i | −0.0970710 | + | 0.0233047i | −0.281690 | − | 0.959506i | \(-0.590895\pi\) |
0.184619 | + | 0.982810i | \(0.440895\pi\) | |||||||
\(234\) | 0.722373 | − | 11.8871i | 0.0472230 | − | 0.777083i | ||||
\(235\) | 0.557404 | − | 7.08249i | 0.0363610 | − | 0.462010i | ||||
\(236\) | −7.02657 | + | 0.250884i | −0.457391 | + | 0.0163311i | ||||
\(237\) | −8.28237 | + | 8.28237i | −0.537998 | + | 0.537998i | ||||
\(238\) | 0.209261 | − | 0.0369829i | 0.0135644 | − | 0.00239725i | ||||
\(239\) | 13.1460 | − | 8.05590i | 0.850347 | − | 0.521093i | −0.0277287 | − | 0.999615i | \(-0.508827\pi\) |
0.878075 | + | 0.478522i | \(0.158827\pi\) | |||||||
\(240\) | −2.57934 | − | 5.15312i | −0.166496 | − | 0.332633i | ||||
\(241\) | 10.9721 | + | 21.5340i | 0.706777 | + | 1.38713i | 0.912729 | + | 0.408566i | \(0.133971\pi\) |
−0.205951 | + | 0.978562i | \(0.566029\pi\) | |||||||
\(242\) | −27.3182 | + | 9.41838i | −1.75608 | + | 0.605437i | ||||
\(243\) | 6.01780 | − | 14.5283i | 0.386042 | − | 0.931988i | ||||
\(244\) | −11.0267 | + | 23.6952i | −0.705911 | + | 1.51693i | ||||
\(245\) | 9.58487i | 0.612355i | ||||||||
\(246\) | 6.97929 | + | 6.47618i | 0.444983 | + | 0.412906i | ||||
\(247\) | 8.16816i | 0.519727i | ||||||||
\(248\) | 6.81702 | − | 1.45737i | 0.432881 | − | 0.0925434i | ||||
\(249\) | 0.273642 | − | 0.660630i | 0.0173414 | − | 0.0418657i | ||||
\(250\) | 5.13008 | + | 14.8799i | 0.324455 | + | 0.941088i | ||||
\(251\) | −13.5019 | − | 26.4990i | −0.852234 | − | 1.67260i | −0.733512 | − | 0.679677i | \(-0.762120\pi\) |
−0.118723 | − | 0.992927i | \(-0.537880\pi\) | |||||||
\(252\) | 0.175370 | + | 0.191082i | 0.0110473 | + | 0.0120370i | ||||
\(253\) | 0.849175 | − | 0.520375i | 0.0533872 | − | 0.0327157i | ||||
\(254\) | −0.707640 | − | 4.00406i | −0.0444013 | − | 0.251237i | ||||
\(255\) | 2.23625 | − | 2.23625i | 0.140039 | − | 0.140039i | ||||
\(256\) | −11.4746 | + | 11.1505i | −0.717160 | + | 0.696909i | ||||
\(257\) | −0.450926 | + | 5.72956i | −0.0281280 | + | 0.357400i | 0.966706 | + | 0.255888i | \(0.0823679\pi\) |
−0.994834 | + | 0.101512i | \(0.967632\pi\) | |||||||
\(258\) | 17.0898 | + | 1.03854i | 1.06397 | + | 0.0646568i | ||||
\(259\) | 0.342029 | − | 0.0821139i | 0.0212527 | − | 0.00510231i | ||||
\(260\) | 12.1014 | − | 1.38839i | 0.750499 | − | 0.0861040i | ||||
\(261\) | 0.876605 | + | 11.1383i | 0.0542605 | + | 0.689445i | ||||
\(262\) | 2.41770 | − | 0.0431482i | 0.149366 | − | 0.00266571i | ||||
\(263\) | −5.00690 | − | 5.86233i | −0.308739 | − | 0.361487i | 0.584244 | − | 0.811578i | \(-0.301391\pi\) |
−0.892982 | + | 0.450092i | \(0.851391\pi\) | |||||||
\(264\) | −9.06438 | + | 13.9939i | −0.557874 | + | 0.861264i | ||||
\(265\) | −1.24078 | + | 5.16821i | −0.0762203 | + | 0.317480i | ||||
\(266\) | −0.128011 | − | 0.123522i | −0.00784886 | − | 0.00757362i | ||||
\(267\) | 4.58785 | − | 0.726644i | 0.280772 | − | 0.0444699i | ||||
\(268\) | −10.5552 | − | 5.96093i | −0.644761 | − | 0.364122i | ||||
\(269\) | 12.2012 | + | 16.7935i | 0.743921 | + | 1.02392i | 0.998383 | + | 0.0568367i | \(0.0181014\pi\) |
−0.254463 | + | 0.967083i | \(0.581899\pi\) | |||||||
\(270\) | 9.73647 | + | 2.15452i | 0.592542 | + | 0.131120i | ||||
\(271\) | −16.4700 | − | 11.9662i | −1.00048 | − | 0.726894i | −0.0382920 | − | 0.999267i | \(-0.512192\pi\) |
−0.962192 | + | 0.272372i | \(0.912192\pi\) | |||||||
\(272\) | −7.79503 | − | 4.04233i | −0.472643 | − | 0.245102i | ||||
\(273\) | 0.295556 | − | 0.122423i | 0.0178879 | − | 0.00740940i | ||||
\(274\) | 16.9524 | + | 13.9634i | 1.02413 | + | 0.843557i | ||||
\(275\) | 11.3697 | − | 13.3123i | 0.685622 | − | 0.802760i | ||||
\(276\) | 0.130546 | − | 0.349998i | 0.00785797 | − | 0.0210674i | ||||
\(277\) | −8.06688 | + | 2.62109i | −0.484692 | + | 0.157486i | −0.541162 | − | 0.840918i | \(-0.682015\pi\) |
0.0564700 | + | 0.998404i | \(0.482015\pi\) | |||||||
\(278\) | 2.73529 | − | 19.5180i | 0.164052 | − | 1.17061i | ||||
\(279\) | −2.11980 | + | 4.16034i | −0.126909 | + | 0.249073i | ||||
\(280\) | −0.161244 | + | 0.210649i | −0.00963615 | + | 0.0125887i | ||||
\(281\) | 10.9931 | − | 17.9390i | 0.655791 | − | 1.07015i | −0.335948 | − | 0.941880i | \(-0.609057\pi\) |
0.991739 | − | 0.128273i | \(-0.0409433\pi\) | |||||||
\(282\) | −3.37704 | + | 6.93084i | −0.201100 | + | 0.412726i | ||||
\(283\) | 23.2594 | + | 7.55743i | 1.38263 | + | 0.449243i | 0.903532 | − | 0.428521i | \(-0.140965\pi\) |
0.479095 | + | 0.877763i | \(0.340965\pi\) | |||||||
\(284\) | −11.0941 | − | 8.81049i | −0.658315 | − | 0.522806i | ||||
\(285\) | −2.61479 | − | 0.414141i | −0.154887 | − | 0.0245316i | ||||
\(286\) | −21.2208 | − | 28.1380i | −1.25481 | − | 1.66384i | ||||
\(287\) | 0.127276 | − | 0.419411i | 0.00751285 | − | 0.0247571i | ||||
\(288\) | −0.954941 | − | 10.6743i | −0.0562704 | − | 0.628987i | ||||
\(289\) | −1.90554 | + | 12.0311i | −0.112091 | + | 0.707712i | ||||
\(290\) | −11.0626 | + | 2.86561i | −0.649620 | + | 0.168275i | ||||
\(291\) | 1.70224 | − | 5.23897i | 0.0997873 | − | 0.307114i | ||||
\(292\) | −1.24643 | − | 6.38561i | −0.0729416 | − | 0.373689i | ||||
\(293\) | 1.66784 | + | 1.02205i | 0.0974361 | + | 0.0597089i | 0.570363 | − | 0.821393i | \(-0.306803\pi\) |
−0.472927 | + | 0.881102i | \(0.656803\pi\) | |||||||
\(294\) | 3.80843 | − | 9.67938i | 0.222112 | − | 0.564513i | ||||
\(295\) | 4.29191 | + | 2.18683i | 0.249884 | + | 0.127322i | ||||
\(296\) | −13.2848 | − | 5.89610i | −0.772166 | − | 0.342704i | ||||
\(297\) | −8.91582 | − | 27.4401i | −0.517348 | − | 1.59223i | ||||
\(298\) | −16.6465 | + | 10.6142i | −0.964307 | + | 0.614862i | ||||
\(299\) | 0.600417 | + | 0.512805i | 0.0347230 | + | 0.0296563i | ||||
\(300\) | 0.281283 | − | 6.56035i | 0.0162399 | − | 0.378762i | ||||
\(301\) | −0.301620 | − | 0.728175i | −0.0173851 | − | 0.0419713i | ||||
\(302\) | −12.0048 | − | 13.5583i | −0.690800 | − | 0.780191i | ||||
\(303\) | −0.404352 | + | 0.556542i | −0.0232294 | + | 0.0319725i | ||||
\(304\) | 1.09786 | + | 7.26805i | 0.0629665 | + | 0.416851i | ||||
\(305\) | 14.4855 | − | 10.5243i | 0.829438 | − | 0.602622i | ||||
\(306\) | 5.39272 | − | 2.34733i | 0.308281 | − | 0.134188i | ||||
\(307\) | 4.86256 | + | 30.7010i | 0.277521 | + | 1.75220i | 0.594807 | + | 0.803869i | \(0.297229\pi\) |
−0.317286 | + | 0.948330i | \(0.602771\pi\) | |||||||
\(308\) | 0.761887 | + | 0.0929422i | 0.0434125 | + | 0.00529588i | ||||
\(309\) | 5.99237 | + | 1.43864i | 0.340894 | + | 0.0818415i | ||||
\(310\) | −4.56769 | − | 1.39453i | −0.259427 | − | 0.0792037i | ||||
\(311\) | 17.3371 | − | 14.8073i | 0.983096 | − | 0.839643i | −0.00396446 | − | 0.999992i | \(-0.501262\pi\) |
0.987060 | + | 0.160349i | \(0.0512619\pi\) | |||||||
\(312\) | −12.7724 | − | 3.40628i | −0.723095 | − | 0.192843i | ||||
\(313\) | −3.12397 | + | 0.245862i | −0.176577 | + | 0.0138969i | −0.166439 | − | 0.986052i | \(-0.553227\pi\) |
−0.0101379 | + | 0.999949i | \(0.503227\pi\) | |||||||
\(314\) | 1.39710 | + | 0.822221i | 0.0788432 | + | 0.0464006i | ||||
\(315\) | −0.0414796 | − | 0.172775i | −0.00233711 | − | 0.00973478i | ||||
\(316\) | −12.3118 | − | 18.5695i | −0.692594 | − | 1.04462i | ||||
\(317\) | −13.6023 | − | 1.07052i | −0.763982 | − | 0.0601267i | −0.309520 | − | 0.950893i | \(-0.600168\pi\) |
−0.454462 | + | 0.890766i | \(0.650168\pi\) | |||||||
\(318\) | 3.30653 | − | 4.72616i | 0.185421 | − | 0.265030i | ||||
\(319\) | 23.3799 | + | 23.3799i | 1.30902 | + | 1.30902i | ||||
\(320\) | 10.5813 | − | 2.86191i | 0.591511 | − | 0.159986i | ||||
\(321\) | 9.04257 | + | 14.7561i | 0.504707 | + | 0.823607i | ||||
\(322\) | −0.0171164 | + | 0.00165489i | −0.000953859 | + | 9.22232e-5i | ||||
\(323\) | −3.59429 | + | 1.83138i | −0.199992 | + | 0.101901i | ||||
\(324\) | 0.452232 | + | 0.304519i | 0.0251240 | + | 0.0169177i | ||||
\(325\) | 12.8233 | + | 5.31157i | 0.711306 | + | 0.294633i | ||||
\(326\) | −21.0709 | + | 11.2142i | −1.16701 | + | 0.621097i | ||||
\(327\) | 19.4416 | 1.07512 | ||||||||
\(328\) | −14.7100 | + | 10.5648i | −0.812224 | + | 0.583346i | ||||
\(329\) | 0.354915 | 0.0195671 | ||||||||
\(330\) | 10.0835 | − | 5.36654i | 0.555076 | − | 0.295418i | ||||
\(331\) | −3.84823 | − | 1.59399i | −0.211518 | − | 0.0876135i | 0.274409 | − | 0.961613i | \(-0.411518\pi\) |
−0.485927 | + | 0.874000i | \(0.661518\pi\) | |||||||
\(332\) | 1.12823 | + | 0.759714i | 0.0619195 | + | 0.0416947i | ||||
\(333\) | 8.67419 | − | 4.41972i | 0.475343 | − | 0.242199i | ||||
\(334\) | 33.9145 | − | 3.27900i | 1.85572 | − | 0.179419i | ||||
\(335\) | 4.33921 | + | 7.08095i | 0.237077 | + | 0.386874i | ||||
\(336\) | 0.246532 | − | 0.148658i | 0.0134494 | − | 0.00810993i | ||||
\(337\) | −10.6711 | − | 10.6711i | −0.581291 | − | 0.581291i | 0.353967 | − | 0.935258i | \(-0.384833\pi\) |
−0.935258 | + | 0.353967i | \(0.884833\pi\) | |||||||
\(338\) | 5.47844 | − | 7.83055i | 0.297988 | − | 0.425926i | ||||
\(339\) | −10.0188 | − | 0.788494i | −0.544144 | − | 0.0428251i | ||||
\(340\) | 3.32420 | + | 5.01378i | 0.180280 | + | 0.271911i | ||||
\(341\) | 3.22574 | + | 13.4362i | 0.174684 | + | 0.727611i | ||||
\(342\) | −4.24313 | − | 2.49715i | −0.229442 | − | 0.135031i | ||||
\(343\) | −0.955034 | + | 0.0751628i | −0.0515670 | + | 0.00405841i | ||||
\(344\) | −8.39220 | + | 31.4679i | −0.452477 | + | 1.69664i | ||||
\(345\) | −0.194601 | + | 0.166205i | −0.0104770 | + | 0.00894818i | ||||
\(346\) | 27.1181 | + | 8.27923i | 1.45788 | + | 0.445094i | ||||
\(347\) | 18.1734 | + | 4.36305i | 0.975600 | + | 0.234221i | 0.689745 | − | 0.724052i | \(-0.257723\pi\) |
0.285854 | + | 0.958273i | \(0.407723\pi\) | |||||||
\(348\) | 12.3103 | + | 1.50173i | 0.659903 | + | 0.0805013i | ||||
\(349\) | −2.84588 | − | 17.9682i | −0.152336 | − | 0.961813i | −0.938871 | − | 0.344268i | \(-0.888127\pi\) |
0.786535 | − | 0.617545i | \(-0.211873\pi\) | |||||||
\(350\) | −0.277161 | + | 0.120642i | −0.0148149 | + | 0.00644858i | ||||
\(351\) | 18.5060 | − | 13.4454i | 0.987778 | − | 0.717663i | ||||
\(352\) | −22.6643 | − | 22.1851i | −1.20801 | − | 1.18247i | ||||
\(353\) | −12.6659 | + | 17.4332i | −0.674140 | + | 0.927874i | −0.999845 | − | 0.0175974i | \(-0.994398\pi\) |
0.325705 | + | 0.945471i | \(0.394398\pi\) | |||||||
\(354\) | −3.46531 | − | 3.91373i | −0.184179 | − | 0.208012i | ||||
\(355\) | 3.71421 | + | 8.96691i | 0.197130 | + | 0.475914i | ||||
\(356\) | −0.378493 | + | 8.82755i | −0.0200601 | + | 0.467859i | ||||
\(357\) | 0.120137 | + | 0.102607i | 0.00635835 | + | 0.00543054i | ||||
\(358\) | −18.8178 | + | 11.9986i | −0.994550 | + | 0.634146i | ||||
\(359\) | 1.94173 | + | 5.97603i | 0.102481 | + | 0.315403i | 0.989131 | − | 0.147038i | \(-0.0469739\pi\) |
−0.886650 | + | 0.462440i | \(0.846974\pi\) | |||||||
\(360\) | −2.97840 | + | 6.71080i | −0.156976 | + | 0.353690i | ||||
\(361\) | −13.9203 | − | 7.09275i | −0.732648 | − | 0.373303i | ||||
\(362\) | −10.9443 | + | 27.8157i | −0.575221 | + | 1.46196i | ||||
\(363\) | −18.3177 | − | 11.2251i | −0.961432 | − | 0.589166i | ||||
\(364\) | 0.116579 | + | 0.597248i | 0.00611039 | + | 0.0313043i | ||||
\(365\) | −1.37738 | + | 4.23913i | −0.0720953 | + | 0.221886i | ||||
\(366\) | −18.8100 | + | 4.87247i | −0.983217 | + | 0.254688i | ||||
\(367\) | −1.89680 | + | 11.9759i | −0.0990120 | + | 0.625137i | 0.887419 | + | 0.460963i | \(0.152496\pi\) |
−0.986431 | + | 0.164174i | \(0.947504\pi\) | |||||||
\(368\) | 0.603178 | + | 0.375595i | 0.0314428 | + | 0.0195792i | ||||
\(369\) | 0.715432 | − | 12.1096i | 0.0372439 | − | 0.630399i | ||||
\(370\) | 5.99566 | + | 7.95003i | 0.311700 | + | 0.413302i | ||||
\(371\) | −0.262257 | − | 0.0415374i | −0.0136157 | − | 0.00215651i | ||||
\(372\) | 4.05862 | + | 3.22319i | 0.210430 | + | 0.167115i | ||||
\(373\) | 28.5916 | + | 9.28997i | 1.48042 | + | 0.481016i | 0.934237 | − | 0.356652i | \(-0.116082\pi\) |
0.546179 | + | 0.837668i | \(0.316082\pi\) | |||||||
\(374\) | 7.62385 | − | 15.6468i | 0.394220 | − | 0.809074i | ||||
\(375\) | −6.11419 | + | 9.97746i | −0.315736 | + | 0.515234i | ||||
\(376\) | −11.6453 | − | 8.91403i | −0.600560 | − | 0.459706i | ||||
\(377\) | −11.9009 | + | 23.3569i | −0.612929 | + | 1.20294i | ||||
\(378\) | −0.0691391 | + | 0.493352i | −0.00355613 | + | 0.0253753i | ||||
\(379\) | −21.5518 | + | 7.00260i | −1.10704 | + | 0.359699i | −0.804808 | − | 0.593535i | \(-0.797732\pi\) |
−0.302232 | + | 0.953234i | \(0.597732\pi\) | |||||||
\(380\) | 1.75987 | − | 4.71825i | 0.0902794 | − | 0.242041i | ||||
\(381\) | 1.96331 | − | 2.29874i | 0.100583 | − | 0.117768i | ||||
\(382\) | 12.9062 | + | 10.6305i | 0.660337 | + | 0.543906i | ||||
\(383\) | 14.0554 | − | 5.82192i | 0.718195 | − | 0.297486i | 0.00650422 | − | 0.999979i | \(-0.497930\pi\) |
0.711691 | + | 0.702493i | \(0.247930\pi\) | |||||||
\(384\) | −11.8227 | − | 1.31421i | −0.603327 | − | 0.0670656i | ||||
\(385\) | −0.425407 | − | 0.309076i | −0.0216807 | − | 0.0157520i | ||||
\(386\) | −1.41214 | − | 0.312484i | −0.0718760 | − | 0.0159050i | ||||
\(387\) | −12.8220 | − | 17.6480i | −0.651778 | − | 0.897096i | ||||
\(388\) | 9.12385 | + | 5.15260i | 0.463193 | + | 0.261584i | ||||
\(389\) | 4.82911 | − | 0.764857i | 0.244846 | − | 0.0387798i | −0.0328052 | − | 0.999462i | \(-0.510444\pi\) |
0.277651 | + | 0.960682i | \(0.410444\pi\) | |||||||
\(390\) | 6.51688 | + | 6.28835i | 0.329995 | + | 0.318423i | ||||
\(391\) | −0.0910335 | + | 0.379182i | −0.00460376 | + | 0.0191760i | ||||
\(392\) | 16.6064 | + | 10.7566i | 0.838748 | + | 0.543289i | ||||
\(393\) | 1.16757 | + | 1.36704i | 0.0588959 | + | 0.0689583i | ||||
\(394\) | 2.15435 | − | 0.0384482i | 0.108535 | − | 0.00193699i | ||||
\(395\) | 1.19760 | + | 15.2169i | 0.0602578 | + | 0.765648i | ||||
\(396\) | 21.1045 | − | 2.42130i | 1.06054 | − | 0.121675i | ||||
\(397\) | 15.5392 | − | 3.73063i | 0.779889 | − | 0.187235i | 0.176093 | − | 0.984374i | \(-0.443654\pi\) |
0.603796 | + | 0.797139i | \(0.293654\pi\) | |||||||
\(398\) | 34.9623 | + | 2.12464i | 1.75250 | + | 0.106499i | ||||
\(399\) | 0.0103767 | − | 0.131848i | 0.000519483 | − | 0.00660065i | ||||
\(400\) | 12.1241 | + | 3.00271i | 0.606204 | + | 0.150135i | ||||
\(401\) | −4.87335 | + | 4.87335i | −0.243364 | + | 0.243364i | −0.818240 | − | 0.574876i | \(-0.805050\pi\) |
0.574876 | + | 0.818240i | \(0.305050\pi\) | |||||||
\(402\) | −1.56847 | − | 8.87490i | −0.0782281 | − | 0.442640i | ||||
\(403\) | −9.34086 | + | 5.72409i | −0.465301 | + | 0.285137i | ||||
\(404\) | −0.884799 | − | 0.964072i | −0.0440204 | − | 0.0479644i | ||||
\(405\) | −0.169572 | − | 0.332803i | −0.00842608 | − | 0.0165371i | ||||
\(406\) | −0.186078 | − | 0.539722i | −0.00923489 | − | 0.0267860i | ||||
\(407\) | 11.0252 | − | 26.6171i | 0.546497 | − | 1.31936i | ||||
\(408\) | −1.36481 | − | 6.38405i | −0.0675683 | − | 0.316058i | ||||
\(409\) | 12.9631i | 0.640984i | 0.947251 | + | 0.320492i | \(0.103848\pi\) | ||||
−0.947251 | + | 0.320492i | \(0.896152\pi\) | |||||||
\(410\) | 12.3243 | − | 1.43498i | 0.608653 | − | 0.0708687i | ||||
\(411\) | 16.3287i | 0.805434i | ||||||||
\(412\) | −4.94579 | + | 10.6280i | −0.243661 | + | 0.523604i | ||||
\(413\) | −0.0920888 | + | 0.222322i | −0.00453140 | + | 0.0109398i | ||||
\(414\) | −0.449946 | + | 0.155126i | −0.0221136 | + | 0.00762403i | ||||
\(415\) | −0.423047 | − | 0.830277i | −0.0207666 | − | 0.0407567i | ||||
\(416\) | 11.1753 | − | 22.5246i | 0.547915 | − | 1.10436i | ||||
\(417\) | 12.4937 | − | 7.65614i | 0.611818 | − | 0.374923i | ||||
\(418\) | −14.3478 | + | 2.53569i | −0.701772 | + | 0.124025i | ||||
\(419\) | 2.52914 | − | 2.52914i | 0.123556 | − | 0.123556i | −0.642625 | − | 0.766181i | \(-0.722155\pi\) |
0.766181 | + | 0.642625i | \(0.222155\pi\) | |||||||
\(420\) | −0.197101 | + | 0.00703750i | −0.00961756 | + | 0.000343395i | ||||
\(421\) | −0.263081 | + | 3.34276i | −0.0128218 | + | 0.162916i | 0.987173 | + | 0.159655i | \(0.0510381\pi\) |
−0.999995 | + | 0.00326125i | \(0.998962\pi\) | |||||||
\(422\) | −0.913724 | + | 15.0359i | −0.0444794 | + | 0.731935i | ||||
\(423\) | 9.55153 | − | 2.29312i | 0.464411 | − | 0.111495i | ||||
\(424\) | 7.56177 | + | 7.94972i | 0.367232 | + | 0.386072i | ||||
\(425\) | 0.537817 | + | 6.83361i | 0.0260879 | + | 0.331479i | ||||
\(426\) | −0.187947 | − | 10.5311i | −0.00910604 | − | 0.510234i | ||||
\(427\) | 0.580923 | + | 0.680174i | 0.0281128 | + | 0.0329159i | ||||
\(428\) | −30.9256 | + | 11.2834i | −1.49485 | + | 0.545406i | ||||
\(429\) | 6.11679 | − | 25.4783i | 0.295321 | − | 1.23010i | ||||
\(430\) | 15.4929 | − | 16.0559i | 0.747133 | − | 0.774286i | ||||
\(431\) | −39.3392 | + | 6.23071i | −1.89490 | + | 0.300123i | −0.991647 | − | 0.128984i | \(-0.958828\pi\) |
−0.903254 | + | 0.429107i | \(0.858828\pi\) | |||||||
\(432\) | 14.6596 | − | 14.4511i | 0.705308 | − | 0.695279i | ||||
\(433\) | −6.35332 | − | 8.74460i | −0.305321 | − | 0.420239i | 0.628594 | − | 0.777734i | \(-0.283631\pi\) |
−0.933915 | + | 0.357495i | \(0.883631\pi\) | |||||||
\(434\) | 0.0515484 | − | 0.232951i | 0.00247440 | − | 0.0111820i | ||||
\(435\) | −6.87359 | − | 4.99396i | −0.329564 | − | 0.239442i | ||||
\(436\) | −7.34450 | + | 36.2447i | −0.351738 | + | 1.73580i | ||||
\(437\) | 0.301587 | − | 0.124921i | 0.0144269 | − | 0.00597580i | ||||
\(438\) | 3.07533 | − | 3.73365i | 0.146945 | − | 0.178401i | ||||
\(439\) | −16.4006 | + | 19.2027i | −0.782760 | + | 0.916494i | −0.998197 | − | 0.0600238i | \(-0.980882\pi\) |
0.215437 | + | 0.976518i | \(0.430882\pi\) | |||||||
\(440\) | 6.19549 | + | 20.8257i | 0.295358 | + | 0.992828i | ||||
\(441\) | −12.6040 | + | 4.09528i | −0.600189 | + | 0.195013i | ||||
\(442\) | 13.6658 | + | 1.91514i | 0.650015 | + | 0.0910940i | ||||
\(443\) | 6.73454 | − | 13.2173i | 0.319968 | − | 0.627972i | −0.673866 | − | 0.738854i | \(-0.735367\pi\) |
0.993834 | + | 0.110882i | \(0.0353674\pi\) | |||||||
\(444\) | −2.89593 | − | 10.4107i | −0.137435 | − | 0.494071i | ||||
\(445\) | 3.16281 | − | 5.16124i | 0.149932 | − | 0.244666i | ||||
\(446\) | −8.97976 | − | 4.37537i | −0.425204 | − | 0.207180i | ||||
\(447\) | −13.9596 | − | 4.53576i | −0.660268 | − | 0.214534i | ||||
\(448\) | 0.184007 | + | 0.515764i | 0.00869349 | + | 0.0243676i | ||||
\(449\) | 5.33531 | + | 0.845031i | 0.251789 | + | 0.0398795i | 0.281053 | − | 0.959692i | \(-0.409316\pi\) |
−0.0292639 | + | 0.999572i | \(0.509316\pi\) | |||||||
\(450\) | −6.67951 | + | 5.03747i | −0.314875 | + | 0.237469i | ||||
\(451\) | −21.6640 | − | 28.6253i | −1.02012 | − | 1.34791i | ||||
\(452\) | 5.25478 | − | 18.3799i | 0.247164 | − | 0.864519i | ||||
\(453\) | 2.10619 | − | 13.2979i | 0.0989572 | − | 0.624791i | ||||
\(454\) | −9.70250 | − | 37.4563i | −0.455361 | − | 1.75791i | ||||
\(455\) | 0.128827 | − | 0.396488i | 0.00603949 | − | 0.0185876i | ||||
\(456\) | −3.65196 | + | 4.06550i | −0.171019 | + | 0.190385i | ||||
\(457\) | −23.4627 | − | 14.3780i | −1.09754 | − | 0.672572i | −0.148873 | − | 0.988856i | \(-0.547565\pi\) |
−0.948665 | + | 0.316284i | \(0.897565\pi\) | |||||||
\(458\) | 19.4983 | + | 7.67175i | 0.911094 | + | 0.358478i | ||||
\(459\) | 10.0657 | + | 5.12874i | 0.469827 | + | 0.239389i | ||||
\(460\) | −0.236338 | − | 0.425579i | −0.0110193 | − | 0.0198427i | ||||
\(461\) | 8.53671 | + | 26.2733i | 0.397594 | + | 1.22367i | 0.926923 | + | 0.375253i | \(0.122444\pi\) |
−0.529328 | + | 0.848417i | \(0.677556\pi\) | |||||||
\(462\) | 0.306794 | + | 0.481154i | 0.0142733 | + | 0.0223853i | ||||
\(463\) | −17.0742 | − | 14.5827i | −0.793505 | − | 0.677717i | 0.157285 | − | 0.987553i | \(-0.449726\pi\) |
−0.950790 | + | 0.309836i | \(0.899726\pi\) | |||||||
\(464\) | −7.45015 | + | 22.3826i | −0.345864 | + | 1.03909i | ||||
\(465\) | −1.35879 | − | 3.28041i | −0.0630124 | − | 0.152125i | ||||
\(466\) | 1.61345 | − | 1.42859i | 0.0747418 | − | 0.0661782i | ||||
\(467\) | −18.2782 | + | 25.1578i | −0.845816 | + | 1.16417i | 0.138953 | + | 0.990299i | \(0.455626\pi\) |
−0.984769 | + | 0.173867i | \(0.944374\pi\) | |||||||
\(468\) | 6.99622 | + | 15.3200i | 0.323400 | + | 0.708167i | ||||
\(469\) | −0.335646 | + | 0.243861i | −0.0154987 | + | 0.0112605i | ||||
\(470\) | 4.00989 | + | 9.21224i | 0.184962 | + | 0.424929i | ||||
\(471\) | 0.188541 | + | 1.19040i | 0.00868752 | + | 0.0548508i | ||||
\(472\) | 8.60540 | − | 4.98182i | 0.396095 | − | 0.229307i | ||||
\(473\) | −62.7719 | − | 15.0702i | −2.88626 | − | 0.692929i | ||||
\(474\) | 4.83686 | − | 15.8428i | 0.222164 | − | 0.727685i | ||||
\(475\) | 4.36333 | − | 3.72664i | 0.200203 | − | 0.170990i | ||||
\(476\) | −0.236673 | + | 0.185208i | −0.0108479 | + | 0.00848899i | ||||
\(477\) | −7.32626 | + | 0.576589i | −0.335446 | + | 0.0264002i | ||||
\(478\) | −11.0592 | + | 18.7916i | −0.505837 | + | 0.859510i | ||||
\(479\) | 1.86243 | + | 7.75759i | 0.0850968 | + | 0.354454i | 0.998631 | − | 0.0523083i | \(-0.0166579\pi\) |
−0.913534 | + | 0.406762i | \(0.866658\pi\) | |||||||
\(480\) | 6.64394 | + | 4.71947i | 0.303253 | + | 0.215414i | ||||
\(481\) | 22.7709 | + | 1.79211i | 1.03827 | + | 0.0817132i | ||||
\(482\) | −28.0055 | − | 19.5933i | −1.27561 | − | 0.892450i | ||||
\(483\) | −0.00904030 | − | 0.00904030i | −0.000411348 | − | 0.000411348i | ||||
\(484\) | 27.8467 | − | 29.9089i | 1.26576 | − | 1.35949i | ||||
\(485\) | −3.75080 | − | 6.12074i | −0.170315 | − | 0.277929i | ||||
\(486\) | 2.14017 | + | 22.1357i | 0.0970802 | + | 1.00409i | ||||
\(487\) | 28.7722 | − | 14.6602i | 1.30379 | − | 0.664315i | 0.342415 | − | 0.939549i | \(-0.388755\pi\) |
0.961377 | + | 0.275233i | \(0.0887551\pi\) | |||||||
\(488\) | −1.97774 | − | 36.9079i | −0.0895282 | − | 1.67074i | ||||
\(489\) | −16.3953 | − | 6.79117i | −0.741422 | − | 0.307107i | ||||
\(490\) | −6.36840 | − | 11.9659i | −0.287695 | − | 0.540565i | ||||
\(491\) | 26.4590 | 1.19408 | 0.597039 | − | 0.802212i | \(-0.296344\pi\) | ||||
0.597039 | + | 0.802212i | \(0.296344\pi\) | |||||||
\(492\) | −13.0160 | − | 3.44777i | −0.586805 | − | 0.155438i | ||||
\(493\) | −12.9462 | −0.583067 | ||||||||
\(494\) | −5.42710 | − | 10.1973i | −0.244177 | − | 0.458797i | ||||
\(495\) | −13.4456 | − | 5.56933i | −0.604333 | − | 0.250323i | ||||
\(496\) | −7.54217 | + | 6.34879i | −0.338653 | + | 0.285069i | ||||
\(497\) | −0.432022 | + | 0.220126i | −0.0193789 | + | 0.00987402i | ||||
\(498\) | 0.0973181 | + | 1.00656i | 0.00436093 | + | 0.0451048i | ||||
\(499\) | −18.1680 | − | 29.6475i | −0.813311 | − | 1.32720i | −0.942032 | − | 0.335522i | \(-0.891087\pi\) |
0.128722 | − | 0.991681i | \(-0.458913\pi\) | |||||||
\(500\) | −16.2910 | − | 15.1678i | −0.728556 | − | 0.678324i | ||||
\(501\) | 17.9125 | + | 17.9125i | 0.800271 | + | 0.800271i | ||||
\(502\) | 34.4626 | + | 24.1108i | 1.53814 | + | 1.07612i | ||||
\(503\) | −24.4250 | − | 1.92229i | −1.08906 | − | 0.0857105i | −0.478806 | − | 0.877920i | \(-0.658930\pi\) |
−0.610249 | + | 0.792210i | \(0.708930\pi\) | |||||||
\(504\) | −0.345894 | − | 0.122030i | −0.0154073 | − | 0.00543566i | ||||
\(505\) | 0.209278 | + | 0.871708i | 0.00931277 | + | 0.0387905i | ||||
\(506\) | −0.714375 | + | 1.21386i | −0.0317579 | + | 0.0539624i | ||||
\(507\) | 7.08326 | − | 0.557464i | 0.314578 | − | 0.0247579i | ||||
\(508\) | 3.54381 | + | 4.52856i | 0.157231 | + | 0.200922i | ||||
\(509\) | −0.485717 | + | 0.414841i | −0.0215290 | + | 0.0183875i | −0.660147 | − | 0.751136i | \(-0.729506\pi\) |
0.638618 | + | 0.769524i | \(0.279506\pi\) | |||||||
\(510\) | −1.30596 | + | 4.27758i | −0.0578287 | + | 0.189414i | ||||
\(511\) | −0.216521 | − | 0.0519821i | −0.00957833 | − | 0.00229955i | ||||
\(512\) | 6.91637 | − | 21.5445i | 0.305663 | − | 0.952140i | ||||
\(513\) | −1.47937 | − | 9.34039i | −0.0653159 | − | 0.412388i | ||||
\(514\) | −3.24390 | − | 7.45248i | −0.143082 | − | 0.328715i | ||||
\(515\) | 6.49716 | − | 4.72047i | 0.286299 | − | 0.208009i | ||||
\(516\) | −22.0253 | + | 10.0583i | −0.969608 | + | 0.442793i | ||||
\(517\) | 17.0867 | − | 23.5178i | 0.751470 | − | 1.03431i | ||||
\(518\) | −0.372436 | + | 0.329764i | −0.0163639 | + | 0.0144890i | ||||
\(519\) | 8.06708 | + | 19.4756i | 0.354105 | + | 0.854886i | ||||
\(520\) | −14.1851 | + | 9.77374i | −0.622060 | + | 0.428607i | ||||
\(521\) | −24.3733 | − | 20.8167i | −1.06781 | − | 0.911998i | −0.0714692 | − | 0.997443i | \(-0.522769\pi\) |
−0.996343 | + | 0.0854452i | \(0.972769\pi\) | |||||||
\(522\) | −8.49491 | − | 13.3228i | −0.371812 | − | 0.583124i | ||||
\(523\) | −1.61586 | − | 4.97311i | −0.0706567 | − | 0.217459i | 0.909492 | − | 0.415720i | \(-0.136471\pi\) |
−0.980149 | + | 0.198261i | \(0.936471\pi\) | |||||||
\(524\) | −2.98963 | + | 1.66024i | −0.130603 | + | 0.0725280i | ||||
\(525\) | −0.200241 | − | 0.102028i | −0.00873925 | − | 0.00445287i | ||||
\(526\) | 10.1458 | + | 3.99193i | 0.442376 | + | 0.174056i | ||||
\(527\) | −4.61312 | − | 2.82693i | −0.200951 | − | 0.123143i | ||||
\(528\) | 2.01827 | − | 23.4928i | 0.0878341 | − | 1.02239i | ||||
\(529\) | −7.09764 | + | 21.8443i | −0.308593 | + | 0.949752i | ||||
\(530\) | −1.88486 | − | 7.27647i | −0.0818733 | − | 0.316070i | ||||
\(531\) | −1.04188 | + | 6.57815i | −0.0452136 | + | 0.285467i | ||||
\(532\) | 0.241882 | + | 0.0691535i | 0.0104869 | + | 0.00299818i | ||||
\(533\) | 16.2765 | − | 23.3482i | 0.705013 | − | 1.01132i | ||||
\(534\) | −5.24475 | + | 3.95542i | −0.226963 | + | 0.171168i | ||||
\(535\) | 22.2754 | + | 3.52808i | 0.963050 | + | 0.152532i | ||||
\(536\) | 17.1378 | + | 0.428623i | 0.740242 | + | 0.0185137i | ||||
\(537\) | −15.7804 | − | 5.12737i | −0.680976 | − | 0.221263i | ||||
\(538\) | −26.3902 | − | 12.8586i | −1.13776 | − | 0.554372i | ||||
\(539\) | −20.4919 | + | 33.4398i | −0.882651 | + | 1.44035i | ||||
\(540\) | −13.5867 | + | 3.77938i | −0.584677 | + | 0.162639i | ||||
\(541\) | 13.1523 | − | 25.8128i | 0.565461 | − | 1.10978i | −0.414399 | − | 0.910095i | \(-0.636008\pi\) |
0.979860 | − | 0.199685i | \(-0.0639919\pi\) | |||||||
\(542\) | 28.5121 | + | 3.99572i | 1.22470 | + | 0.171631i | ||||
\(543\) | −21.1357 | + | 6.86741i | −0.907020 | + | 0.294709i | ||||
\(544\) | 12.4173 | − | 0.132679i | 0.532385 | − | 0.00568858i | ||||
\(545\) | 16.4542 | − | 19.2653i | 0.704819 | − | 0.825237i | ||||
\(546\) | −0.287636 | + | 0.349209i | −0.0123097 | + | 0.0149448i | ||||
\(547\) | −11.9473 | + | 4.94872i | −0.510828 | + | 0.211592i | −0.623183 | − | 0.782076i | \(-0.714161\pi\) |
0.112355 | + | 0.993668i | \(0.464161\pi\) | |||||||
\(548\) | −30.4412 | − | 6.16851i | −1.30039 | − | 0.263506i | ||||
\(549\) | 20.0285 | + | 14.5516i | 0.854795 | + | 0.621045i | ||||
\(550\) | −5.34922 | + | 24.1736i | −0.228091 | + | 1.03076i | ||||
\(551\) | 6.37004 | + | 8.76761i | 0.271373 | + | 0.373513i | ||||
\(552\) | 0.0695699 | + | 0.523681i | 0.00296109 | + | 0.0222893i | ||||
\(553\) | −0.753158 | + | 0.119289i | −0.0320276 | + | 0.00507267i | ||||
\(554\) | 8.32932 | − | 8.63203i | 0.353879 | − | 0.366740i | ||||
\(555\) | −1.72822 | + | 7.19855i | −0.0733588 | + | 0.305562i | ||||
\(556\) | 9.55344 | + | 26.1840i | 0.405156 | + | 1.11045i | ||||
\(557\) | 19.7679 | + | 23.1452i | 0.837593 | + | 0.980695i | 0.999982 | − | 0.00603194i | \(-0.00192004\pi\) |
−0.162389 | + | 0.986727i | \(0.551920\pi\) | |||||||
\(558\) | −0.117829 | − | 6.60227i | −0.00498812 | − | 0.279496i | ||||
\(559\) | −4.01563 | − | 51.0234i | −0.169843 | − | 2.15806i | ||||
\(560\) | 0.0613395 | − | 0.370111i | 0.00259207 | − | 0.0156400i | ||||
\(561\) | 12.5828 | − | 3.02087i | 0.531247 | − | 0.127541i | ||||
\(562\) | −1.80482 | + | 29.6994i | −0.0761318 | + | 1.25279i | ||||
\(563\) | −1.46105 | + | 18.5644i | −0.0615760 | + | 0.782397i | 0.886168 | + | 0.463365i | \(0.153358\pi\) |
−0.947744 | + | 0.319033i | \(0.896642\pi\) | |||||||
\(564\) | −0.389054 | − | 10.8964i | −0.0163821 | − | 0.458819i | ||||
\(565\) | −9.26059 | + | 9.26059i | −0.389596 | + | 0.389596i | ||||
\(566\) | −34.0587 | + | 6.01922i | −1.43159 | + | 0.253007i | ||||
\(567\) | 0.0159100 | − | 0.00974967i | 0.000668158 | − | 0.000409447i | ||||
\(568\) | 19.7040 | + | 3.62798i | 0.826760 | + | 0.152226i | ||||
\(569\) | −0.560019 | − | 1.09910i | −0.0234772 | − | 0.0460766i | 0.878970 | − | 0.476877i | \(-0.158231\pi\) |
−0.902447 | + | 0.430800i | \(0.858231\pi\) | |||||||
\(570\) | 3.53951 | − | 1.22030i | 0.148254 | − | 0.0511127i | ||||
\(571\) | 8.52405 | − | 20.5789i | 0.356720 | − | 0.861199i | −0.639037 | − | 0.769176i | \(-0.720667\pi\) |
0.995757 | − | 0.0920228i | \(-0.0293333\pi\) | |||||||
\(572\) | 45.1879 | + | 21.0284i | 1.88940 | + | 0.879241i | ||||
\(573\) | 12.4313i | 0.519325i | ||||||||
\(574\) | 0.119773 | + | 0.608164i | 0.00499922 | + | 0.0253843i | ||||
\(575\) | − | 0.554697i | − | 0.0231325i | ||||||
\(576\) | 8.28437 | + | 12.6914i | 0.345182 | + | 0.528810i | ||||
\(577\) | 7.91495 | − | 19.1084i | 0.329504 | − | 0.795492i | −0.669126 | − | 0.743149i | \(-0.733331\pi\) |
0.998629 | − | 0.0523427i | \(-0.0166688\pi\) | |||||||
\(578\) | −5.61482 | − | 16.2859i | −0.233546 | − | 0.677404i | ||||
\(579\) | −0.488169 | − | 0.958086i | −0.0202876 | − | 0.0398167i | ||||
\(580\) | 11.9068 | − | 10.9277i | 0.494403 | − | 0.453750i | ||||
\(581\) | 0.0396923 | − | 0.0243234i | 0.00164671 | − | 0.00100911i | ||||
\(582\) | 1.35578 | + | 7.67142i | 0.0561987 | + | 0.317991i | ||||
\(583\) | −15.3782 | + | 15.3782i | −0.636899 | + | 0.636899i | ||||
\(584\) | 5.79880 | + | 7.14374i | 0.239956 | + | 0.295610i | ||||
\(585\) | 0.905281 | − | 11.5027i | 0.0374287 | − | 0.475577i | ||||
\(586\) | −2.76123 | − | 0.167799i | −0.114065 | − | 0.00693170i | ||||
\(587\) | 21.7466 | − | 5.22089i | 0.897577 | − | 0.215489i | 0.241694 | − | 0.970352i | \(-0.422297\pi\) |
0.655882 | + | 0.754863i | \(0.272297\pi\) | |||||||
\(588\) | 1.67668 | + | 14.6143i | 0.0691453 | + | 0.602683i | ||||
\(589\) | 0.355348 | + | 4.51513i | 0.0146419 | + | 0.186043i | ||||
\(590\) | −6.81107 | + | 0.121556i | −0.280407 | + | 0.00500437i | ||||
\(591\) | 1.04039 | + | 1.21814i | 0.0427958 | + | 0.0501074i | ||||
\(592\) | 20.5025 | − | 1.46595i | 0.842648 | − | 0.0602502i | ||||
\(593\) | −8.89029 | + | 37.0307i | −0.365081 | + | 1.52067i | 0.423590 | + | 0.905854i | \(0.360770\pi\) |
−0.788670 | + | 0.614816i | \(0.789230\pi\) | |||||||
\(594\) | 29.3624 | + | 28.3328i | 1.20476 | + | 1.16251i | ||||
\(595\) | 0.203353 | − | 0.0322080i | 0.00833668 | − | 0.00132040i | ||||
\(596\) | 13.7295 | − | 24.3112i | 0.562382 | − | 0.995827i | ||||
\(597\) | 15.3068 | + | 21.0680i | 0.626466 | + | 0.862256i | ||||
\(598\) | −1.09029 | − | 0.241264i | −0.0445853 | − | 0.00986600i | ||||
\(599\) | 4.88150 | + | 3.54661i | 0.199453 | + | 0.144911i | 0.683029 | − | 0.730392i | \(-0.260662\pi\) |
−0.483576 | + | 0.875302i | \(0.660662\pi\) | |||||||
\(600\) | 4.00768 | + | 8.37694i | 0.163613 | + | 0.341987i | ||||
\(601\) | 9.41752 | − | 3.90086i | 0.384149 | − | 0.159120i | −0.182248 | − | 0.983253i | \(-0.558337\pi\) |
0.566396 | + | 0.824133i | \(0.308337\pi\) | |||||||
\(602\) | 0.860362 | + | 0.708662i | 0.0350658 | + | 0.0288829i | ||||
\(603\) | −7.45736 | + | 8.73144i | −0.303687 | + | 0.355572i | ||||
\(604\) | 23.9954 | + | 8.95011i | 0.976360 | + | 0.364175i | ||||
\(605\) | −26.6263 | + | 8.65142i | −1.08251 | + | 0.351730i | ||||
\(606\) | 0.135020 | − | 0.963457i | 0.00548482 | − | 0.0391377i | ||||
\(607\) | −14.7574 | + | 28.9631i | −0.598985 | + | 1.17557i | 0.370134 | + | 0.928979i | \(0.379312\pi\) |
−0.969118 | + | 0.246596i | \(0.920688\pi\) | |||||||
\(608\) | −6.19964 | − | 8.34411i | −0.251429 | − | 0.338398i | ||||
\(609\) | 0.221773 | − | 0.361901i | 0.00898671 | − | 0.0146650i | ||||
\(610\) | −11.0913 | + | 22.7632i | −0.449075 | + | 0.921657i | ||||
\(611\) | 21.9190 | + | 7.12192i | 0.886749 | + | 0.288122i | ||||
\(612\) | −5.17274 | + | 6.51349i | −0.209096 | + | 0.263292i | ||||
\(613\) | −4.59384 | − | 0.727593i | −0.185544 | − | 0.0293872i | 0.0629711 | − | 0.998015i | \(-0.479942\pi\) |
−0.248515 | + | 0.968628i | \(0.579942\pi\) | |||||||
\(614\) | −26.4689 | − | 35.0968i | −1.06820 | − | 1.41639i | ||||
\(615\) | 6.64896 | + | 6.39421i | 0.268112 | + | 0.257840i | ||||
\(616\) | −1.01290 | + | 0.390184i | −0.0408111 | + | 0.0157209i | ||||
\(617\) | 3.27657 | − | 20.6874i | 0.131910 | − | 0.832844i | −0.829657 | − | 0.558273i | \(-0.811464\pi\) |
0.961567 | − | 0.274571i | \(-0.0885359\pi\) | |||||||
\(618\) | −8.43684 | + | 2.18544i | −0.339380 | + | 0.0879113i | ||||
\(619\) | −0.912568 | + | 2.80860i | −0.0366792 | + | 0.112887i | −0.967720 | − | 0.252029i | \(-0.918902\pi\) |
0.931041 | + | 0.364916i | \(0.118902\pi\) | |||||||
\(620\) | 6.62893 | − | 1.29392i | 0.266224 | − | 0.0519651i | ||||
\(621\) | −0.779461 | − | 0.477654i | −0.0312787 | − | 0.0191676i | ||||
\(622\) | −11.8056 | + | 30.0048i | −0.473362 | + | 1.20308i | ||||
\(623\) | 0.269443 | + | 0.137288i | 0.0107950 | + | 0.00550033i | ||||
\(624\) | 18.2085 | − | 4.23381i | 0.728923 | − | 0.169488i | ||||
\(625\) | −0.112350 | − | 0.345777i | −0.00449399 | − | 0.0138311i | ||||
\(626\) | 3.73666 | − | 2.38257i | 0.149347 | − | 0.0952268i | ||||
\(627\) | −8.23708 | − | 7.03513i | −0.328957 | − | 0.280956i | ||||
\(628\) | −2.29047 | − | 0.0982068i | −0.0913997 | − | 0.00391888i | ||||
\(629\) | 4.31687 | + | 10.4219i | 0.172125 | + | 0.415547i | ||||
\(630\) | 0.166579 | + | 0.188135i | 0.00663669 | + | 0.00749549i | ||||
\(631\) | 14.7308 | − | 20.2751i | 0.586422 | − | 0.807141i | −0.407959 | − | 0.913000i | \(-0.633759\pi\) |
0.994381 | + | 0.105859i | \(0.0337594\pi\) | |||||||
\(632\) | 27.7083 | + | 15.0022i | 1.10218 | + | 0.596757i | ||||
\(633\) | −9.06050 | + | 6.58284i | −0.360122 | + | 0.261644i | ||||
\(634\) | 17.6926 | − | 7.70121i | 0.702664 | − | 0.305854i | ||||
\(635\) | −0.616276 | − | 3.89101i | −0.0244562 | − | 0.154410i | ||||
\(636\) | −0.987767 | + | 8.09714i | −0.0391675 | + | 0.321073i | ||||
\(637\) | −30.2347 | − | 7.25872i | −1.19794 | − | 0.287601i | ||||
\(638\) | −44.7220 | − | 13.6537i | −1.77056 | − | 0.540557i | ||||
\(639\) | −10.2044 | + | 8.71538i | −0.403680 | + | 0.344775i | ||||
\(640\) | −11.3083 | + | 10.6033i | −0.447001 | + | 0.419132i | ||||
\(641\) | −4.96812 | + | 0.390999i | −0.196229 | + | 0.0154435i | −0.176193 | − | 0.984356i | \(-0.556378\pi\) |
−0.0200362 | + | 0.999799i | \(0.506378\pi\) | |||||||
\(642\) | −21.0932 | − | 12.4137i | −0.832482 | − | 0.489930i | ||||
\(643\) | −1.50972 | − | 6.28845i | −0.0595376 | − | 0.247992i | 0.934663 | − | 0.355536i | \(-0.115702\pi\) |
−0.994200 | + | 0.107543i | \(0.965702\pi\) | |||||||
\(644\) | 0.0202688 | − | 0.0134385i | 0.000798704 | − | 0.000529551i | ||||
\(645\) | 16.5372 | + | 1.30150i | 0.651151 | + | 0.0512467i | ||||
\(646\) | 3.27036 | − | 4.67445i | 0.128671 | − | 0.183914i | ||||
\(647\) | 9.38530 | + | 9.38530i | 0.368974 | + | 0.368974i | 0.867103 | − | 0.498129i | \(-0.165979\pi\) |
−0.498129 | + | 0.867103i | \(0.665979\pi\) | |||||||
\(648\) | −0.766903 | − | 0.0796939i | −0.0301268 | − | 0.00313067i | ||||
\(649\) | 10.2983 | + | 16.8053i | 0.404244 | + | 0.659667i | ||||
\(650\) | −19.5379 | + | 1.88901i | −0.766339 | + | 0.0740929i | ||||
\(651\) | 0.158049 | − | 0.0805301i | 0.00619443 | − | 0.00315622i | ||||
\(652\) | 18.8543 | − | 28.0000i | 0.738393 | − | 1.09656i | ||||
\(653\) | 44.8717 | + | 18.5864i | 1.75596 | + | 0.727344i | 0.997101 | + | 0.0760932i | \(0.0242447\pi\) |
0.758863 | + | 0.651251i | \(0.225755\pi\) | |||||||
\(654\) | −24.2712 | + | 12.9174i | −0.949080 | + | 0.505112i | ||||
\(655\) | 2.34280 | 0.0915409 | ||||||||
\(656\) | 11.3447 | − | 22.9630i | 0.442936 | − | 0.896553i | ||||
\(657\) | −6.16290 | −0.240438 | ||||||||
\(658\) | −0.443082 | + | 0.235814i | −0.0172731 | + | 0.00919297i | ||||
\(659\) | 33.3321 | + | 13.8066i | 1.29843 | + | 0.537829i | 0.921488 | − | 0.388406i | \(-0.126974\pi\) |
0.376946 | + | 0.926235i | \(0.376974\pi\) | |||||||
\(660\) | −9.02271 | + | 13.3993i | −0.351209 | + | 0.521569i | ||||
\(661\) | −15.1955 | + | 7.74251i | −0.591038 | + | 0.301149i | −0.723812 | − | 0.689998i | \(-0.757612\pi\) |
0.132774 | + | 0.991146i | \(0.457612\pi\) | |||||||
\(662\) | 5.86327 | − | 0.566886i | 0.227882 | − | 0.0220326i | ||||
\(663\) | 5.36053 | + | 8.74759i | 0.208186 | + | 0.339728i | ||||
\(664\) | −1.91327 | − | 0.198820i | −0.0742492 | − | 0.00771572i | ||||
\(665\) | −0.121870 | − | 0.121870i | −0.00472593 | − | 0.00472593i | ||||
\(666\) | −7.89244 | + | 11.2810i | −0.305826 | + | 0.437129i | ||||
\(667\) | 1.04440 | + | 0.0821960i | 0.0404393 | + | 0.00318264i | ||||
\(668\) | −40.1608 | + | 26.6271i | −1.55387 | + | 1.03023i | ||||
\(669\) | −1.73369 | − | 7.22135i | −0.0670285 | − | 0.279194i | ||||
\(670\) | −10.1219 | − | 5.95691i | −0.391043 | − | 0.230135i | ||||
\(671\) | 73.0377 | − | 5.74819i | 2.81959 | − | 0.221906i | ||||
\(672\) | −0.209003 | + | 0.349388i | −0.00806248 | + | 0.0134779i | ||||
\(673\) | −14.7147 | + | 12.5675i | −0.567209 | + | 0.484442i | −0.886192 | − | 0.463318i | \(-0.846659\pi\) |
0.318983 | + | 0.947760i | \(0.396659\pi\) | |||||||
\(674\) | 20.4121 | + | 6.23186i | 0.786244 | + | 0.240042i | ||||
\(675\) | −15.6255 | − | 3.75136i | −0.601428 | − | 0.144390i | ||||
\(676\) | −1.63659 | + | 13.4158i | −0.0629456 | + | 0.515991i | ||||
\(677\) | 5.62895 | + | 35.5398i | 0.216338 | + | 1.36591i | 0.821684 | + | 0.569943i | \(0.193035\pi\) |
−0.605346 | + | 0.795963i | \(0.706965\pi\) | |||||||
\(678\) | 13.0315 | − | 5.67232i | 0.500471 | − | 0.217844i | ||||
\(679\) | 0.290131 | − | 0.210792i | 0.0111342 | − | 0.00808947i | ||||
\(680\) | −7.48126 | − | 4.05062i | −0.286893 | − | 0.155334i | ||||
\(681\) | 16.9087 | − | 23.2729i | 0.647944 | − | 0.891818i | ||||
\(682\) | −12.9544 | − | 14.6307i | −0.496049 | − | 0.560239i | ||||
\(683\) | 3.98572 | + | 9.62238i | 0.152509 | + | 0.368190i | 0.981607 | − | 0.190914i | \(-0.0611452\pi\) |
−0.829097 | + | 0.559104i | \(0.811145\pi\) | |||||||
\(684\) | 6.95635 | + | 0.298262i | 0.265983 | + | 0.0114043i | ||||
\(685\) | 16.1806 | + | 13.8196i | 0.618230 | + | 0.528018i | ||||
\(686\) | 1.14234 | − | 0.728380i | 0.0436148 | − | 0.0278097i | ||||
\(687\) | 4.81392 | + | 14.8157i | 0.183662 | + | 0.565255i | ||||
\(688\) | −10.4310 | − | 44.8610i | −0.397679 | − | 1.71031i | ||||
\(689\) | −15.3630 | − | 7.82786i | −0.585286 | − | 0.298218i | ||||
\(690\) | 0.132513 | − | 0.336790i | 0.00504468 | − | 0.0128214i | ||||
\(691\) | 13.2337 | + | 8.10964i | 0.503435 | + | 0.308505i | 0.750928 | − | 0.660385i | \(-0.229607\pi\) |
−0.247493 | + | 0.968890i | \(0.579607\pi\) | |||||||
\(692\) | −39.3556 | + | 7.68195i | −1.49608 | + | 0.292024i | ||||
\(693\) | 0.224669 | − | 0.691461i | 0.00853449 | − | 0.0262664i | ||||
\(694\) | −25.5869 | + | 6.62791i | −0.971265 | + | 0.251592i | ||||
\(695\) | 2.98714 | − | 18.8601i | 0.113309 | − | 0.715403i | ||||
\(696\) | −16.3662 | + | 6.30446i | −0.620359 | + | 0.238970i | ||||
\(697\) | 13.9234 | + | 1.92735i | 0.527387 | + | 0.0730036i | ||||
\(698\) | 15.4913 | + | 20.5409i | 0.586353 | + | 0.777484i | ||||
\(699\) | 1.58247 | + | 0.250639i | 0.0598546 | + | 0.00948004i | ||||
\(700\) | 0.265855 | − | 0.334763i | 0.0100484 | − | 0.0126529i | ||||
\(701\) | −32.7750 | − | 10.6492i | −1.23789 | − | 0.402216i | −0.384326 | − | 0.923198i | \(-0.625566\pi\) |
−0.853568 | + | 0.520981i | \(0.825566\pi\) | |||||||
\(702\) | −14.1698 | + | 29.0813i | −0.534804 | + | 1.09760i | ||||
\(703\) | 4.93397 | − | 8.05151i | 0.186088 | − | 0.303668i | ||||
\(704\) | 43.0347 | + | 12.6375i | 1.62193 | + | 0.476295i | ||||
\(705\) | −3.39120 | + | 6.65561i | −0.127720 | + | 0.250665i | ||||
\(706\) | 4.22938 | − | 30.1794i | 0.159175 | − | 1.13582i | ||||
\(707\) | −0.0425935 | + | 0.0138395i | −0.00160189 | + | 0.000520487i | ||||
\(708\) | 6.92652 | + | 2.58354i | 0.260315 | + | 0.0970953i | ||||
\(709\) | 10.5908 | − | 12.4003i | 0.397747 | − | 0.465702i | −0.525003 | − | 0.851100i | \(-0.675936\pi\) |
0.922750 | + | 0.385398i | \(0.125936\pi\) | |||||||
\(710\) | −10.5947 | − | 8.72663i | −0.397612 | − | 0.327505i | ||||
\(711\) | −19.4984 | + | 8.07649i | −0.731246 | + | 0.302892i | ||||
\(712\) | −5.39270 | − | 11.2719i | −0.202100 | − | 0.422434i | ||||
\(713\) | 0.354203 | + | 0.257343i | 0.0132650 | + | 0.00963759i | ||||
\(714\) | −0.218156 | − | 0.0482744i | −0.00816428 | − | 0.00180662i | ||||
\(715\) | −20.0704 | − | 27.6245i | −0.750590 | − | 1.03310i | ||||
\(716\) | 15.5203 | − | 27.4822i | 0.580020 | − | 1.02706i | ||||
\(717\) | −16.0114 | + | 2.53596i | −0.597957 | + | 0.0947070i | ||||
\(718\) | −6.39469 | − | 6.17044i | −0.238648 | − | 0.230279i | ||||
\(719\) | −0.144290 | + | 0.601012i | −0.00538112 | + | 0.0224140i | −0.974996 | − | 0.222223i | \(-0.928669\pi\) |
0.969615 | + | 0.244637i | \(0.0786687\pi\) | |||||||
\(720\) | −0.740522 | − | 10.3568i | −0.0275976 | − | 0.385975i | ||||
\(721\) | 0.260561 | + | 0.305077i | 0.00970378 | + | 0.0113617i | ||||
\(722\) | 22.0909 | − | 0.394252i | 0.822139 | − | 0.0146726i | ||||
\(723\) | −1.99374 | − | 25.3328i | −0.0741479 | − | 0.942138i | ||||
\(724\) | −4.81830 | − | 41.9972i | −0.179071 | − | 1.56082i | ||||
\(725\) | 17.9066 | − | 4.29900i | 0.665036 | − | 0.159661i | ||||
\(726\) | 30.3264 | + | 1.84292i | 1.12552 | + | 0.0683972i | ||||
\(727\) | 1.65936 | − | 21.0841i | 0.0615421 | − | 0.781967i | −0.886276 | − | 0.463157i | \(-0.846717\pi\) |
0.947819 | − | 0.318810i | \(-0.103283\pi\) | |||||||
\(728\) | −0.542364 | − | 0.668157i | −0.0201013 | − | 0.0247635i | ||||
\(729\) | −11.1130 | + | 11.1130i | −0.411594 | + | 0.411594i | ||||
\(730\) | −1.09703 | − | 6.20736i | −0.0406030 | − | 0.229745i | ||||
\(731\) | 21.5518 | − | 13.2070i | 0.797123 | − | 0.488478i | ||||
\(732\) | 20.2454 | − | 18.5807i | 0.748291 | − | 0.686762i | ||||
\(733\) | −18.7148 | − | 36.7299i | −0.691247 | − | 1.35665i | −0.923350 | − | 0.383958i | \(-0.874561\pi\) |
0.232103 | − | 0.972691i | \(-0.425439\pi\) | |||||||
\(734\) | −5.58906 | − | 16.2112i | −0.206296 | − | 0.598366i | ||||
\(735\) | 3.85661 | − | 9.31069i | 0.142253 | − | 0.343430i | ||||
\(736\) | −1.00257 | − | 0.0681342i | −0.0369552 | − | 0.00251146i | ||||
\(737\) | 33.9811i | 1.25171i | ||||||||
\(738\) | 7.15271 | + | 15.5931i | 0.263295 | + | 0.573991i | ||||
\(739\) | 18.7634i | 0.690223i | 0.938562 | + | 0.345112i | \(0.112159\pi\) | ||||
−0.938562 | + | 0.345112i | \(0.887841\pi\) | |||||||
\(740\) | −12.7673 | − | 5.94130i | −0.469334 | − | 0.218407i | ||||
\(741\) | 3.28658 | − | 7.93450i | 0.120735 | − | 0.291481i | ||||
\(742\) | 0.355004 | − | 0.122393i | 0.0130326 | − | 0.00449319i | ||||
\(743\) | 4.99909 | + | 9.81127i | 0.183399 | + | 0.359940i | 0.964341 | − | 0.264663i | \(-0.0852607\pi\) |
−0.780942 | + | 0.624603i | \(0.785261\pi\) | |||||||
\(744\) | −7.20841 | − | 1.32724i | −0.264273 | − | 0.0486591i | ||||
\(745\) | −16.3092 | + | 9.99429i | −0.597523 | + | 0.366162i | ||||
\(746\) | −41.8667 | + | 7.39913i | −1.53285 | + | 0.270901i | ||||
\(747\) | 0.911049 | − | 0.911049i | 0.0333335 | − | 0.0333335i | ||||
\(748\) | 0.878311 | + | 24.5991i | 0.0321142 | + | 0.899433i | ||||
\(749\) | −0.0883989 | + | 1.12321i | −0.00323003 | + | 0.0410414i | ||||
\(750\) | 1.00382 | − | 16.5184i | 0.0366542 | − | 0.603168i | ||||
\(751\) | −1.20365 | + | 0.288970i | −0.0439217 | + | 0.0105447i | −0.255347 | − | 0.966850i | \(-0.582190\pi\) |
0.211425 | + | 0.977394i | \(0.432190\pi\) | |||||||
\(752\) | 20.4608 | + | 3.39103i | 0.746130 | + | 0.123658i | ||||
\(753\) | 2.45342 | + | 31.1737i | 0.0894078 | + | 1.13603i | ||||
\(754\) | −0.661516 | − | 37.0664i | −0.0240910 | − | 1.34988i | ||||
\(755\) | −11.3948 | − | 13.3416i | −0.414700 | − | 0.485551i | ||||
\(756\) | −0.241480 | − | 0.661846i | −0.00878253 | − | 0.0240711i | ||||
\(757\) | 6.16059 | − | 25.6607i | 0.223910 | − | 0.932654i | −0.741299 | − | 0.671175i | \(-0.765790\pi\) |
0.965209 | − | 0.261479i | \(-0.0842102\pi\) | |||||||
\(758\) | 22.2529 | − | 23.0616i | 0.808262 | − | 0.837636i | ||||
\(759\) | −1.03426 | + | 0.163811i | −0.0375414 | + | 0.00594598i | ||||
\(760\) | 0.937857 | + | 7.05963i | 0.0340196 | + | 0.256080i | ||||
\(761\) | −21.2030 | − | 29.1834i | −0.768606 | − | 1.05790i | −0.996449 | − | 0.0841979i | \(-0.973167\pi\) |
0.227843 | − | 0.973698i | \(-0.426833\pi\) | |||||||
\(762\) | −0.923693 | + | 4.17425i | −0.0334619 | + | 0.151217i | ||||
\(763\) | 1.02397 | + | 0.743957i | 0.0370702 | + | 0.0269331i | ||||
\(764\) | −23.1754 | − | 4.69620i | −0.838458 | − | 0.169902i | ||||
\(765\) | 5.26458 | − | 2.18066i | 0.190341 | − | 0.0788419i | ||||
\(766\) | −13.6787 | + | 16.6069i | −0.494232 | + | 0.600031i | ||||
\(767\) | −10.1485 | + | 11.8824i | −0.366441 | + | 0.429047i | ||||
\(768\) | 15.6329 | − | 6.21461i | 0.564104 | − | 0.224250i | ||||
\(769\) | 15.3282 | − | 4.98042i | 0.552748 | − | 0.179599i | −0.0193077 | − | 0.999814i | \(-0.506146\pi\) |
0.572055 | + | 0.820215i | \(0.306146\pi\) | |||||||
\(770\) | 0.736442 | + | 0.103206i | 0.0265395 | + | 0.00371929i | ||||
\(771\) | 2.74340 | − | 5.38422i | 0.0988011 | − | 0.193908i | ||||
\(772\) | 1.97056 | − | 0.548147i | 0.0709220 | − | 0.0197282i | ||||
\(773\) | 21.3303 | − | 34.8079i | 0.767198 | − | 1.25195i | −0.195321 | − | 0.980739i | \(-0.562575\pi\) |
0.962519 | − | 0.271214i | \(-0.0874252\pi\) | |||||||
\(774\) | 27.7329 | + | 13.5128i | 0.996837 | + | 0.485707i | ||||
\(775\) | 7.31941 | + | 2.37822i | 0.262921 | + | 0.0854282i | ||||
\(776\) | −14.8139 | − | 0.370500i | −0.531787 | − | 0.0133002i | ||||
\(777\) | −0.365285 | − | 0.0578554i | −0.0131045 | − | 0.00207555i | ||||
\(778\) | −5.52056 | + | 4.16343i | −0.197922 | + | 0.149266i | ||||
\(779\) | −5.54560 | − | 10.3778i | −0.198692 | − | 0.371822i | ||||
\(780\) | −12.3139 | − | 3.52052i | −0.440908 | − | 0.126055i | ||||
\(781\) | −6.21257 | + | 39.2247i | −0.222303 | + | 1.40357i | ||||
\(782\) | −0.138289 | − | 0.533861i | −0.00494520 | − | 0.0190908i | ||||
\(783\) | 9.37859 | − | 28.8643i | 0.335163 | − | 1.03153i | ||||
\(784\) | −27.8786 | − | 2.39506i | −0.995663 | − | 0.0855379i | ||||
\(785\) | 1.33918 | + | 0.820649i | 0.0477973 | + | 0.0292902i | ||||
\(786\) | −2.36590 | − | 0.930884i | −0.0843890 | − | 0.0332035i | ||||
\(787\) | 10.2361 | + | 5.21556i | 0.364878 | + | 0.185915i | 0.626811 | − | 0.779171i | \(-0.284360\pi\) |
−0.261933 | + | 0.965086i | \(0.584360\pi\) | |||||||
\(788\) | −2.66398 | + | 1.47940i | −0.0949003 | + | 0.0527013i | ||||
\(789\) | 2.50488 | + | 7.70923i | 0.0891761 | + | 0.274456i | ||||
\(790\) | −11.6056 | − | 18.2014i | −0.412908 | − | 0.647576i | ||||
\(791\) | −0.497505 | − | 0.424909i | −0.0176892 | − | 0.0151080i | ||||
\(792\) | −24.7384 | + | 17.0451i | −0.879042 | + | 0.605670i | ||||
\(793\) | 22.2282 | + | 53.6636i | 0.789346 | + | 1.90565i | ||||
\(794\) | −16.9207 | + | 14.9819i | −0.600491 | + | 0.531689i | ||||
\(795\) | 3.28479 | − | 4.52112i | 0.116499 | − | 0.160348i | ||||
\(796\) | −45.0592 | + | 20.5773i | −1.59708 | + | 0.729343i | ||||
\(797\) | 12.9924 | − | 9.43952i | 0.460214 | − | 0.334365i | −0.333401 | − | 0.942785i | \(-0.608196\pi\) |
0.793615 | + | 0.608420i | \(0.208196\pi\) | |||||||
\(798\) | 0.0746483 | + | 0.171496i | 0.00264252 | + | 0.00607088i | ||||
\(799\) | 1.78055 | + | 11.2420i | 0.0629915 | + | 0.397713i | ||||
\(800\) | −17.1310 | + | 4.30687i | −0.605671 | + | 0.152271i | ||||
\(801\) | 8.13831 | + | 1.95384i | 0.287553 | + | 0.0690354i | ||||
\(802\) | 2.84601 | − | 9.32194i | 0.100496 | − | 0.329169i | ||||
\(803\) | −13.8685 | + | 11.8448i | −0.489407 | + | 0.417993i | ||||
\(804\) | 7.85478 | + | 10.0374i | 0.277017 | + | 0.353993i | ||||
\(805\) | −0.0166095 | + | 0.00130719i | −0.000585407 | + | 4.60725e-5i | ||||
\(806\) | 7.85808 | − | 13.3523i | 0.276789 | − | 0.470315i | ||||
\(807\) | −5.09506 | − | 21.2225i | −0.179355 | − | 0.747066i | ||||
\(808\) | 1.74515 | + | 0.615683i | 0.0613941 | + | 0.0216596i | ||||
\(809\) | 13.0727 | + | 1.02884i | 0.459612 | + | 0.0361722i | 0.306152 | − | 0.951983i | \(-0.400958\pi\) |
0.153460 | + | 0.988155i | \(0.450958\pi\) | |||||||
\(810\) | 0.432818 | + | 0.302810i | 0.0152077 | + | 0.0106397i | ||||
\(811\) | 11.2889 | + | 11.2889i | 0.396406 | + | 0.396406i | 0.876963 | − | 0.480557i | \(-0.159566\pi\) |
−0.480557 | + | 0.876963i | \(0.659566\pi\) | |||||||
\(812\) | 0.590906 | + | 0.550164i | 0.0207367 | + | 0.0193070i | ||||
\(813\) | 11.1841 | + | 18.2509i | 0.392245 | + | 0.640085i | ||||
\(814\) | 3.92099 | + | 40.5546i | 0.137431 | + | 1.42144i | ||||
\(815\) | −20.6056 | + | 10.4991i | −0.721781 | + | 0.367766i | ||||
\(816\) | 5.94556 | + | 7.06314i | 0.208136 | + | 0.247259i | ||||
\(817\) | −19.5486 | − | 8.09729i | −0.683918 | − | 0.283288i | ||||
\(818\) | −8.61297 | − | 16.1834i | −0.301146 | − | 0.565838i | ||||
\(819\) | 0.576419 | 0.0201417 | ||||||||
\(820\) | −14.4324 | + | 9.97998i | −0.504002 | + | 0.348516i | ||||
\(821\) | 16.1262 | 0.562807 | 0.281403 | − | 0.959590i | \(-0.409200\pi\) | ||||
0.281403 | + | 0.959590i | \(0.409200\pi\) | |||||||
\(822\) | −10.8491 | − | 20.3850i | −0.378407 | − | 0.711008i | ||||
\(823\) | −30.7933 | − | 12.7550i | −1.07339 | − | 0.444612i | −0.225203 | − | 0.974312i | \(-0.572305\pi\) |
−0.848185 | + | 0.529700i | \(0.822305\pi\) | |||||||
\(824\) | −0.887074 | − | 16.5543i | −0.0309027 | − | 0.576695i | ||||
\(825\) | −16.4009 | + | 8.35667i | −0.571006 | + | 0.290942i | ||||
\(826\) | −0.0327505 | − | 0.338736i | −0.00113954 | − | 0.0117861i | ||||
\(827\) | 3.86851 | + | 6.31283i | 0.134521 | + | 0.219519i | 0.912807 | − | 0.408392i | \(-0.133910\pi\) |
−0.778285 | + | 0.627911i | \(0.783910\pi\) | |||||||
\(828\) | 0.458651 | − | 0.492616i | 0.0159392 | − | 0.0171196i | ||||
\(829\) | −25.1001 | − | 25.1001i | −0.871761 | − | 0.871761i | 0.120903 | − | 0.992664i | \(-0.461421\pi\) |
−0.992664 | + | 0.120903i | \(0.961421\pi\) | |||||||
\(830\) | 1.07979 | + | 0.755449i | 0.0374802 | + | 0.0262220i | ||||
\(831\) | 8.89076 | + | 0.699718i | 0.308417 | + | 0.0242729i | ||||
\(832\) | 1.01436 | + | 35.5452i | 0.0351667 | + | 1.23231i | ||||
\(833\) | −3.58482 | − | 14.9319i | −0.124207 | − | 0.517359i | ||||
\(834\) | −10.5104 | + | 17.8591i | −0.363946 | + | 0.618411i | ||||
\(835\) | 32.9101 | − | 2.59008i | 1.13890 | − | 0.0896334i | ||||
\(836\) | 16.2272 | − | 12.6986i | 0.561230 | − | 0.439189i | ||||
\(837\) | 9.64467 | − | 8.23733i | 0.333369 | − | 0.284724i | ||||
\(838\) | −1.47700 | + | 4.83783i | −0.0510222 | + | 0.167120i | ||||
\(839\) | 3.81235 | + | 0.915263i | 0.131617 | + | 0.0315984i | 0.298719 | − | 0.954341i | \(-0.403441\pi\) |
−0.167102 | + | 0.985940i | \(0.553441\pi\) | |||||||
\(840\) | 0.241389 | − | 0.139744i | 0.00832870 | − | 0.00482163i | ||||
\(841\) | 0.904245 | + | 5.70918i | 0.0311809 | + | 0.196868i | ||||
\(842\) | −1.89257 | − | 4.34795i | −0.0652222 | − | 0.149840i | ||||
\(843\) | −17.8966 | + | 13.0027i | −0.616393 | + | 0.447835i | ||||
\(844\) | −8.84946 | − | 19.3781i | −0.304611 | − | 0.667023i | ||||
\(845\) | 5.44241 | − | 7.49083i | 0.187225 | − | 0.257693i | ||||
\(846\) | −10.4007 | + | 9.20901i | −0.357583 | + | 0.316612i | ||||
\(847\) | −0.535233 | − | 1.29217i | −0.0183908 | − | 0.0443993i | ||||
\(848\) | −14.7222 | − | 4.90035i | −0.505563 | − | 0.168279i | ||||
\(849\) | −19.5532 | − | 16.7000i | −0.671064 | − | 0.573142i | ||||
\(850\) | −5.21182 | − | 8.17385i | −0.178764 | − | 0.280361i | ||||
\(851\) | −0.282083 | − | 0.868163i | −0.00966969 | − | 0.0297602i | ||||
\(852\) | 7.23174 | + | 13.0223i | 0.247755 | + | 0.446138i | ||||
\(853\) | 4.73836 | + | 2.41432i | 0.162238 | + | 0.0826646i | 0.533224 | − | 0.845974i | \(-0.320980\pi\) |
−0.370986 | + | 0.928639i | \(0.620980\pi\) | |||||||
\(854\) | −1.17716 | − | 0.463162i | −0.0402815 | − | 0.0158491i | ||||
\(855\) | −4.06720 | − | 2.49238i | −0.139095 | − | 0.0852377i | ||||
\(856\) | 31.1111 | − | 34.6341i | 1.06335 | − | 1.18377i | ||||
\(857\) | 8.27594 | − | 25.4707i | 0.282701 | − | 0.870064i | −0.704378 | − | 0.709826i | \(-0.748774\pi\) |
0.987078 | − | 0.160238i | \(-0.0512262\pi\) | |||||||
\(858\) | 9.29202 | + | 35.8716i | 0.317224 | + | 1.22464i | ||||
\(859\) | 7.94743 | − | 50.1781i | 0.271163 | − | 1.71205i | −0.357111 | − | 0.934062i | \(-0.616238\pi\) |
0.628274 | − | 0.777992i | \(-0.283762\pi\) | |||||||
\(860\) | −8.67366 | + | 30.3383i | −0.295769 | + | 1.03453i | ||||
\(861\) | −0.292391 | + | 0.356202i | −0.00996466 | + | 0.0121393i | ||||
\(862\) | 44.9718 | − | 33.9163i | 1.53175 | − | 1.15519i | ||||
\(863\) | −20.1807 | − | 3.19630i | −0.686958 | − | 0.108803i | −0.196809 | − | 0.980442i | \(-0.563058\pi\) |
−0.490149 | + | 0.871639i | \(0.663058\pi\) | |||||||
\(864\) | −8.69959 | + | 27.7811i | −0.295966 | + | 0.945133i | ||||
\(865\) | 26.1265 | + | 8.48902i | 0.888329 | + | 0.288635i | ||||
\(866\) | 13.7417 | + | 6.69561i | 0.466962 | + | 0.227526i | ||||
\(867\) | 6.69192 | − | 10.9202i | 0.227270 | − | 0.370870i | ||||
\(868\) | 0.0904242 | + | 0.325070i | 0.00306920 | + | 0.0110336i | ||||
\(869\) | −28.3548 | + | 55.6495i | −0.961871 | + | 1.88778i | ||||
\(870\) | 11.8992 | + | 1.66757i | 0.403421 | + | 0.0565360i | ||||
\(871\) | −25.6224 | + | 8.32524i | −0.868183 | + | 0.282090i | ||||
\(872\) | −14.9128 | − | 50.1283i | −0.505010 | − | 1.69756i | ||||
\(873\) | 6.44610 | − | 7.54742i | 0.218168 | − | 0.255441i | ||||
\(874\) | −0.293506 | + | 0.356335i | −0.00992798 | + | 0.0120532i | ||||
\(875\) | −0.703828 | + | 0.291535i | −0.0237937 | + | 0.00985568i | ||||
\(876\) | −1.35857 | + | 6.70446i | −0.0459018 | + | 0.226523i | ||||
\(877\) | −3.60100 | − | 2.61628i | −0.121597 | − | 0.0883455i | 0.525325 | − | 0.850902i | \(-0.323944\pi\) |
−0.646922 | + | 0.762556i | \(0.723944\pi\) | |||||||
\(878\) | 7.71614 | − | 34.8699i | 0.260407 | − | 1.17680i | ||||
\(879\) | −1.20889 | − | 1.66389i | −0.0407749 | − | 0.0561218i | ||||
\(880\) | −21.5716 | − | 21.8828i | −0.727179 | − | 0.737668i | ||||
\(881\) | −27.7392 | + | 4.39346i | −0.934559 | + | 0.148020i | −0.605099 | − | 0.796150i | \(-0.706867\pi\) |
−0.329460 | + | 0.944170i | \(0.606867\pi\) | |||||||
\(882\) | 13.0140 | − | 13.4870i | 0.438204 | − | 0.454130i | ||||
\(883\) | 2.17736 | − | 9.06937i | 0.0732741 | − | 0.305209i | −0.923683 | − | 0.383157i | \(-0.874837\pi\) |
0.996957 | + | 0.0779482i | \(0.0248369\pi\) | |||||||
\(884\) | −18.3330 | + | 6.68895i | −0.616607 | + | 0.224974i | ||||
\(885\) | −3.28923 | − | 3.85119i | −0.110566 | − | 0.129456i | ||||
\(886\) | 0.374341 | + | 20.9753i | 0.0125762 | + | 0.704677i | ||||
\(887\) | 1.51755 | + | 19.2823i | 0.0509543 | + | 0.647435i | 0.968372 | + | 0.249510i | \(0.0802696\pi\) |
−0.917418 | + | 0.397925i | \(0.869730\pi\) | |||||||
\(888\) | 10.5324 | + | 11.0728i | 0.353445 | + | 0.371579i | ||||
\(889\) | 0.191369 | − | 0.0459437i | 0.00641832 | − | 0.00154090i | ||||
\(890\) | −0.519265 | + | 8.54482i | −0.0174058 | + | 0.286423i | ||||
\(891\) | 0.119912 | − | 1.52362i | 0.00401719 | − | 0.0510433i | ||||
\(892\) | 14.1176 | − | 0.504068i | 0.472691 | − | 0.0168774i | ||||
\(893\) | 6.73736 | − | 6.73736i | 0.225457 | − | 0.225457i | ||||
\(894\) | 20.4411 | − | 3.61257i | 0.683653 | − | 0.120823i | ||||
\(895\) | −18.4364 | + | 11.2979i | −0.616263 | + | 0.377646i | ||||
\(896\) | −0.572402 | − | 0.521630i | −0.0191226 | − | 0.0174264i | ||||
\(897\) | −0.376907 | − | 0.739723i | −0.0125846 | − | 0.0246986i | ||||
\(898\) | −7.22215 | + | 2.48995i | −0.241006 | + | 0.0830907i | ||||
\(899\) | −5.56238 | + | 13.4288i | −0.185516 | + | 0.447874i | ||||
\(900\) | 4.99180 | − | 10.7269i | 0.166393 | − | 0.357563i | ||||
\(901\) | − | 8.51539i | − | 0.283689i | ||||||
\(902\) | 46.0650 | + | 21.3423i | 1.53380 | + | 0.710621i | ||||
\(903\) | 0.828706i | 0.0275776i | ||||||||
\(904\) | 5.65187 | + | 26.4372i | 0.187978 | + | 0.879288i | ||||
\(905\) | −11.0828 | + | 26.7562i | −0.368404 | + | 0.889407i | ||||
\(906\) | 6.20604 | + | 18.0008i | 0.206182 | + | 0.598035i | ||||
\(907\) | 20.3219 | + | 39.8840i | 0.674778 | + | 1.32433i | 0.933571 | + | 0.358394i | \(0.116675\pi\) |
−0.258792 | + | 0.965933i | \(0.583325\pi\) | |||||||
\(908\) | 36.9995 | + | 40.3145i | 1.22787 | + | 1.33788i | ||||
\(909\) | −1.05687 | + | 0.647648i | −0.0350540 | + | 0.0214811i | ||||
\(910\) | 0.102606 | + | 0.580577i | 0.00340135 | + | 0.0192459i | ||||
\(911\) | −35.6542 | + | 35.6542i | −1.18128 | + | 1.18128i | −0.201863 | + | 0.979414i | \(0.564700\pi\) |
−0.979414 | + | 0.201863i | \(0.935300\pi\) | |||||||
\(912\) | 1.85795 | − | 7.50188i | 0.0615230 | − | 0.248412i | ||||
\(913\) | 0.299156 | − | 3.80113i | 0.00990060 | − | 0.125799i | ||||
\(914\) | 38.8442 | + | 2.36055i | 1.28485 | + | 0.0780799i | ||||
\(915\) | −18.3058 | + | 4.39482i | −0.605170 | + | 0.145288i | ||||
\(916\) | −29.4392 | + | 3.37754i | −0.972700 | + | 0.111597i | ||||
\(917\) | 0.00918285 | + | 0.116679i | 0.000303244 | + | 0.00385308i | ||||
\(918\) | −15.9738 | + | 0.285082i | −0.527215 | + | 0.00940910i | ||||
\(919\) | −22.0078 | − | 25.7679i | −0.725971 | − | 0.850003i | 0.267562 | − | 0.963541i | \(-0.413782\pi\) |
−0.993534 | + | 0.113537i | \(0.963782\pi\) | |||||||
\(920\) | 0.577812 | + | 0.374271i | 0.0190499 | + | 0.0123394i | ||||
\(921\) | 7.62954 | − | 31.7793i | 0.251402 | − | 1.04716i | ||||
\(922\) | −28.1139 | − | 27.1280i | −0.925883 | − | 0.893414i | ||||
\(923\) | −31.0982 | + | 4.92547i | −1.02361 | + | 0.162124i | ||||
\(924\) | −0.702696 | − | 0.396840i | −0.0231170 | − | 0.0130551i | ||||
\(925\) | −9.43167 | − | 12.9816i | −0.310112 | − | 0.426832i | ||||
\(926\) | 31.0048 | + | 6.86086i | 1.01888 | + | 0.225462i | ||||
\(927\) | 8.98335 | + | 6.52679i | 0.295052 | + | 0.214368i | ||||
\(928\) | −5.57061 | − | 32.8928i | −0.182864 | − | 1.07976i | ||||
\(929\) | 27.0325 | − | 11.1972i | 0.886909 | − | 0.367370i | 0.107737 | − | 0.994179i | \(-0.465640\pi\) |
0.779172 | + | 0.626810i | \(0.215640\pi\) | |||||||
\(930\) | 3.87592 | + | 3.19251i | 0.127096 | + | 0.104687i | ||||
\(931\) | −8.34850 | + | 9.77484i | −0.273611 | + | 0.320357i | ||||
\(932\) | −1.06508 | + | 2.85549i | −0.0348877 | + | 0.0935347i | ||||
\(933\) | −22.7991 | + | 7.40787i | −0.746408 | + | 0.242523i | ||||
\(934\) | 6.10343 | − | 43.5519i | 0.199710 | − | 1.42506i | ||||
\(935\) | 7.65582 | − | 15.0254i | 0.250372 | − | 0.491383i | ||||
\(936\) | −18.9131 | − | 14.4773i | −0.618195 | − | 0.473205i | ||||
\(937\) | −4.50047 | + | 7.34410i | −0.147024 | + | 0.239921i | −0.917671 | − | 0.397341i | \(-0.869933\pi\) |
0.770647 | + | 0.637262i | \(0.219933\pi\) | |||||||
\(938\) | 0.256999 | − | 0.527451i | 0.00839133 | − | 0.0172219i | ||||
\(939\) | 3.13354 | + | 1.01815i | 0.102259 | + | 0.0332260i | ||||
\(940\) | −11.1268 | − | 8.83646i | −0.362917 | − | 0.288213i | ||||
\(941\) | −7.41409 | − | 1.17428i | −0.241692 | − | 0.0382803i | 0.0344129 | − | 0.999408i | \(-0.489044\pi\) |
−0.276105 | + | 0.961127i | \(0.589044\pi\) | |||||||
\(942\) | −1.02631 | − | 1.36085i | −0.0334389 | − | 0.0443388i | ||||
\(943\) | −1.11100 | − | 0.243884i | −0.0361790 | − | 0.00794196i | ||||
\(944\) | −7.43309 | + | 11.9370i | −0.241926 | + | 0.388516i | ||||
\(945\) | −0.0755052 | + | 0.476721i | −0.00245618 | + | 0.0155077i | ||||
\(946\) | 88.3785 | − | 22.8932i | 2.87343 | − | 0.744321i | ||||
\(947\) | 3.33936 | − | 10.2775i | 0.108515 | − | 0.333973i | −0.882025 | − | 0.471203i | \(-0.843820\pi\) |
0.990539 | + | 0.137230i | \(0.0438199\pi\) | |||||||
\(948\) | 4.48791 | + | 22.9922i | 0.145761 | + | 0.746751i | ||||
\(949\) | −12.3289 | − | 7.55517i | −0.400214 | − | 0.245251i | ||||
\(950\) | −2.97119 | + | 7.55148i | −0.0963982 | + | 0.245003i | ||||
\(951\) | 12.7825 | + | 6.51299i | 0.414500 | + | 0.211198i | ||||
\(952\) | 0.172410 | − | 0.388467i | 0.00558785 | − | 0.0125903i | ||||
\(953\) | −5.91368 | − | 18.2004i | −0.191563 | − | 0.589570i | −1.00000 | 0.000986649i | \(-0.999686\pi\) | |
0.808437 | − | 0.588583i | \(-0.200314\pi\) | |||||||
\(954\) | 8.76312 | − | 5.58755i | 0.283716 | − | 0.180904i | ||||
\(955\) | 12.3186 | + | 10.5211i | 0.398620 | + | 0.340454i | ||||
\(956\) | 1.32092 | − | 30.8078i | 0.0427217 | − | 0.996395i | ||||
\(957\) | −13.3039 | − | 32.1184i | −0.430053 | − | 1.03824i | ||||
\(958\) | −7.47941 | − | 8.44727i | −0.241649 | − | 0.272919i | ||||
\(959\) | −0.624836 | + | 0.860014i | −0.0201770 | + | 0.0277713i | ||||
\(960\) | −11.4301 | − | 1.47749i | −0.368906 | − | 0.0476858i | ||||
\(961\) | 20.1652 | − | 14.6509i | 0.650490 | − | 0.472609i | ||||
\(962\) | −29.6183 | + | 12.8922i | −0.954933 | + | 0.415661i | ||||
\(963\) | 4.87812 | + | 30.7992i | 0.157195 | + | 0.992492i | ||||
\(964\) | 47.9807 | + | 5.85315i | 1.54535 | + | 0.188517i | ||||
\(965\) | −1.36255 | − | 0.327120i | −0.0438622 | − | 0.0105304i | ||||
\(966\) | 0.0172926 | + | 0.00527948i | 0.000556381 | + | 0.000169865i | ||||
\(967\) | 21.9010 | − | 18.7052i | 0.704288 | − | 0.601518i | −0.223466 | − | 0.974712i | \(-0.571737\pi\) |
0.927754 | + | 0.373193i | \(0.121737\pi\) | |||||||
\(968\) | −14.8922 | + | 55.8407i | −0.478653 | + | 1.79479i | ||||
\(969\) | 4.22836 | − | 0.332779i | 0.135834 | − | 0.0106904i | ||||
\(970\) | 8.74931 | + | 5.14912i | 0.280923 | + | 0.165328i | ||||
\(971\) | −3.36638 | − | 14.0220i | −0.108032 | − | 0.449986i | 0.891966 | − | 0.452103i | \(-0.149326\pi\) |
−0.999998 | + | 0.00211696i | \(0.999326\pi\) | |||||||
\(972\) | −17.3793 | − | 26.2126i | −0.557440 | − | 0.840768i | ||||
\(973\) | 0.951001 | + | 0.0748454i | 0.0304877 | + | 0.00239943i | ||||
\(974\) | −26.1791 | + | 37.4189i | −0.838834 | + | 1.19898i | ||||
\(975\) | −10.3192 | − | 10.3192i | −0.330480 | − | 0.330480i | ||||
\(976\) | 26.9915 | + | 44.7624i | 0.863976 | + | 1.43281i | ||||
\(977\) | 10.3025 | + | 16.8121i | 0.329606 | + | 0.537868i | 0.973920 | − | 0.226893i | \(-0.0728569\pi\) |
−0.644314 | + | 0.764761i | \(0.722857\pi\) | |||||||
\(978\) | 24.9804 | − | 2.41521i | 0.798785 | − | 0.0772300i | ||||
\(979\) | 22.0689 | − | 11.2447i | 0.705325 | − | 0.359381i | ||||
\(980\) | 15.9008 | + | 10.7071i | 0.507933 | + | 0.342027i | ||||
\(981\) | 32.3639 | + | 13.4056i | 1.03330 | + | 0.428007i | ||||
\(982\) | −33.0319 | + | 17.5800i | −1.05409 | + | 0.560999i | ||||
\(983\) | 5.20141 | 0.165899 | 0.0829496 | − | 0.996554i | \(-0.473566\pi\) | ||||
0.0829496 | + | 0.996554i | \(0.473566\pi\) | |||||||
\(984\) | 18.5401 | − | 4.34384i | 0.591038 | − | 0.138477i | ||||
\(985\) | 2.08761 | 0.0665168 | ||||||||
\(986\) | 16.1622 | − | 8.60174i | 0.514711 | − | 0.273935i | ||||
\(987\) | −0.344763 | − | 0.142805i | −0.0109739 | − | 0.00454555i | ||||
\(988\) | 13.5506 | + | 9.12454i | 0.431101 | + | 0.290290i | ||||
\(989\) | −1.82249 | + | 0.928604i | −0.0579517 | + | 0.0295279i | ||||
\(990\) | 20.4860 | − | 1.98068i | 0.651089 | − | 0.0629501i | ||||
\(991\) | 5.51846 | + | 9.00531i | 0.175300 | + | 0.286063i | 0.928208 | − | 0.372063i | \(-0.121349\pi\) |
−0.752908 | + | 0.658126i | \(0.771349\pi\) | |||||||
\(992\) | 5.19749 | − | 12.9371i | 0.165020 | − | 0.410754i | ||||
\(993\) | 3.09678 | + | 3.09678i | 0.0982734 | + | 0.0982734i | ||||
\(994\) | 0.393087 | − | 0.561855i | 0.0124680 | − | 0.0178209i | ||||
\(995\) | 33.8317 | + | 2.66261i | 1.07254 | + | 0.0844105i | ||||
\(996\) | −0.790271 | − | 1.19194i | −0.0250407 | − | 0.0377681i | ||||
\(997\) | −9.68885 | − | 40.3570i | −0.306849 | − | 1.27812i | −0.886300 | − | 0.463111i | \(-0.846733\pi\) |
0.579451 | − | 0.815007i | \(-0.303267\pi\) | |||||||
\(998\) | 42.3796 | + | 24.9412i | 1.34150 | + | 0.789499i | ||||
\(999\) | −26.3634 | + | 2.07485i | −0.834102 | + | 0.0656452i |
(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 | 164.2.o.b.111.3 | yes | 288 | |
4.3 | odd | 2 | inner | 164.2.o.b.111.14 | yes | 288 | |
41.17 | odd | 40 | inner | 164.2.o.b.99.14 | yes | 288 | |
164.99 | even | 40 | inner | 164.2.o.b.99.3 | ✓ | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
164.2.o.b.99.3 | ✓ | 288 | 164.99 | even | 40 | inner | |
164.2.o.b.99.14 | yes | 288 | 41.17 | odd | 40 | inner | |
164.2.o.b.111.3 | yes | 288 | 1.1 | even | 1 | trivial | |
164.2.o.b.111.14 | yes | 288 | 4.3 | odd | 2 | inner |