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 | 111.14 | ||
Character | \(\chi\) | \(=\) | 164.111 |
Dual form | 164.2.o.b.99.14 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.981997 | + | 1.01768i | 0.694377 | + | 0.719612i | ||||
\(3\) | 0.971394 | + | 0.402365i | 0.560835 | + | 0.232305i | 0.645048 | − | 0.764142i | \(-0.276838\pi\) |
−0.0842128 | + | 0.996448i | \(0.526838\pi\) | |||||||
\(4\) | −0.0713644 | + | 1.99873i | −0.0356822 | + | 0.999363i | ||||
\(5\) | −1.22084 | + | 0.622051i | −0.545978 | + | 0.278190i | −0.705146 | − | 0.709062i | \(-0.749119\pi\) |
0.159169 | + | 0.987251i | \(0.449119\pi\) | |||||||
\(6\) | 0.544426 | + | 1.38369i | 0.222261 | + | 0.564891i | ||||
\(7\) | 0.0357653 | + | 0.0583637i | 0.0135180 | + | 0.0220594i | 0.859328 | − | 0.511425i | \(-0.170882\pi\) |
−0.845810 | + | 0.533485i | \(0.820882\pi\) | |||||||
\(8\) | −2.10415 | + | 1.89012i | −0.743930 | + | 0.668257i | ||||
\(9\) | −1.33961 | − | 1.33961i | −0.446537 | − | 0.446537i | ||||
\(10\) | −1.83192 | − | 0.631582i | −0.579303 | − | 0.199724i | ||||
\(11\) | 5.58920 | + | 0.439880i | 1.68521 | + | 0.132629i | 0.884536 | − | 0.466473i | \(-0.154475\pi\) |
0.800673 | + | 0.599102i | \(0.204475\pi\) | |||||||
\(12\) | −0.873540 | + | 1.91284i | −0.252169 | + | 0.552188i | ||||
\(13\) | −1.03765 | − | 4.32214i | −0.287793 | − | 1.19875i | −0.909570 | − | 0.415551i | \(-0.863589\pi\) |
0.621776 | − | 0.783195i | \(-0.286411\pi\) | |||||||
\(14\) | −0.0242744 | + | 0.0937108i | −0.00648761 | + | 0.0250453i | ||||
\(15\) | −1.43621 | + | 0.113032i | −0.370828 | + | 0.0291848i | ||||
\(16\) | −3.98981 | − | 0.285276i | −0.997454 | − | 0.0713190i | ||||
\(17\) | 1.66925 | − | 1.42567i | 0.404852 | − | 0.345776i | −0.423587 | − | 0.905855i | \(-0.639229\pi\) |
0.828439 | + | 0.560079i | \(0.189229\pi\) | |||||||
\(18\) | 0.0478079 | − | 2.67879i | 0.0112684 | − | 0.631398i | ||||
\(19\) | 1.78685 | + | 0.428985i | 0.409932 | + | 0.0984159i | 0.433166 | − | 0.901314i | \(-0.357396\pi\) |
−0.0232343 | + | 0.999730i | \(0.507396\pi\) | |||||||
\(20\) | −1.15618 | − | 2.48452i | −0.258531 | − | 0.555556i | ||||
\(21\) | 0.0112587 | + | 0.0710849i | 0.00245686 | + | 0.0155120i | ||||
\(22\) | 5.04092 | + | 6.12001i | 1.07473 | + | 1.30479i | ||||
\(23\) | 0.143714 | − | 0.104414i | 0.0299664 | − | 0.0217718i | −0.572701 | − | 0.819764i | \(-0.694104\pi\) |
0.602668 | + | 0.797992i | \(0.294104\pi\) | |||||||
\(24\) | −2.80448 | + | 0.989412i | −0.572462 | + | 0.201963i | ||||
\(25\) | −1.83542 | + | 2.52623i | −0.367083 | + | 0.505246i | ||||
\(26\) | 3.37960 | − | 5.30033i | 0.662795 | − | 1.03948i | ||||
\(27\) | −1.96937 | − | 4.75449i | −0.379006 | − | 0.915001i | ||||
\(28\) | −0.119205 | + | 0.0673200i | −0.0225277 | + | 0.0127223i | ||||
\(29\) | −4.48448 | − | 3.83011i | −0.832748 | − | 0.711234i | 0.127059 | − | 0.991895i | \(-0.459446\pi\) |
−0.959807 | + | 0.280661i | \(0.909446\pi\) | |||||||
\(30\) | −1.52539 | − | 1.35061i | −0.278496 | − | 0.246587i | ||||
\(31\) | 0.761616 | + | 2.34401i | 0.136790 | + | 0.420997i | 0.995864 | − | 0.0908543i | \(-0.0289597\pi\) |
−0.859074 | + | 0.511852i | \(0.828960\pi\) | |||||||
\(32\) | −3.62766 | − | 4.34051i | −0.641286 | − | 0.767302i | ||||
\(33\) | 5.25233 | + | 2.67620i | 0.914313 | + | 0.465866i | ||||
\(34\) | 3.09008 | + | 0.298762i | 0.529945 | + | 0.0512373i | ||||
\(35\) | −0.0799690 | − | 0.0490051i | −0.0135172 | − | 0.00828337i | ||||
\(36\) | 2.77312 | − | 2.58191i | 0.462186 | − | 0.430319i | ||||
\(37\) | −1.58795 | + | 4.88721i | −0.261057 | + | 0.803452i | 0.731518 | + | 0.681822i | \(0.238812\pi\) |
−0.992576 | + | 0.121630i | \(0.961188\pi\) | |||||||
\(38\) | 1.31811 | + | 2.23971i | 0.213826 | + | 0.363329i | ||||
\(39\) | 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 | −0.792271 | − | 0.610169i | \(-0.791101\pi\) |
−0.942047 | + | 0.335480i | \(0.891101\pi\) | |||||||
\(44\) | −1.27807 | + | 11.1399i | −0.192676 | + | 1.67940i | ||||
\(45\) | 2.46876 | + | 0.802149i | 0.368021 | + | 0.119577i | ||||
\(46\) | 0.247387 | + | 0.0437209i | 0.0364752 | + | 0.00644630i | ||||
\(47\) | 2.70915 | − | 4.42093i | 0.395170 | − | 0.644859i | −0.591741 | − | 0.806129i | \(-0.701559\pi\) |
0.986910 | + | 0.161270i | \(0.0515590\pi\) | |||||||
\(48\) | −3.76090 | − | 1.88248i | −0.542839 | − | 0.271712i | ||||
\(49\) | 3.17581 | − | 6.23287i | 0.453687 | − | 0.890410i | ||||
\(50\) | −4.37328 | + | 0.612878i | −0.618475 | + | 0.0866740i | ||||
\(51\) | 2.19514 | − | 0.713244i | 0.307381 | − | 0.0998741i | ||||
\(52\) | 8.71283 | − | 1.76554i | 1.20825 | − | 0.244836i | ||||
\(53\) | 2.51926 | − | 2.94968i | 0.346048 | − | 0.405170i | −0.559900 | − | 0.828560i | \(-0.689160\pi\) |
0.905947 | + | 0.423391i | \(0.139160\pi\) | |||||||
\(54\) | 2.90465 | − | 6.67309i | 0.395273 | − | 0.908092i | ||||
\(55\) | −7.09717 | + | 2.93974i | −0.956982 | + | 0.396395i | ||||
\(56\) | −0.185570 | − | 0.0552055i | −0.0247978 | − | 0.00737715i | ||||
\(57\) | 1.56313 | + | 1.13568i | 0.207041 | + | 0.150424i | ||||
\(58\) | −0.505903 | − | 8.32495i | −0.0664284 | − | 1.09312i | ||||
\(59\) | 2.06637 | + | 2.84412i | 0.269019 | + | 0.370273i | 0.922058 | − | 0.387051i | \(-0.126506\pi\) |
−0.653039 | + | 0.757324i | \(0.726506\pi\) | |||||||
\(60\) | −0.123426 | − | 2.87866i | −0.0159343 | − | 0.371633i | ||||
\(61\) | −12.9068 | + | 2.04423i | −1.65254 | + | 0.261737i | −0.911974 | − | 0.410247i | \(-0.865443\pi\) |
−0.740566 | + | 0.671984i | \(0.765443\pi\) | |||||||
\(62\) | −1.63756 | + | 3.07690i | −0.207971 | + | 0.390767i | ||||
\(63\) | 0.0302730 | − | 0.126096i | 0.00381404 | − | 0.0158866i | ||||
\(64\) | 0.854920 | − | 7.95419i | 0.106865 | − | 0.994274i | ||||
\(65\) | 3.95540 | + | 4.63118i | 0.490607 | + | 0.574427i | ||||
\(66\) | 2.43425 | + | 7.97323i | 0.299635 | + | 0.981437i | ||||
\(67\) | 0.475543 | + | 6.04235i | 0.0580969 | + | 0.738191i | 0.955122 | + | 0.296212i | \(0.0957234\pi\) |
−0.897025 | + | 0.441979i | \(0.854277\pi\) | |||||||
\(68\) | 2.73040 | + | 3.43811i | 0.331110 | + | 0.416932i | ||||
\(69\) | 0.181615 | − | 0.0436020i | 0.0218639 | − | 0.00524906i | ||||
\(70\) | −0.0286576 | − | 0.129506i | −0.00342524 | − | 0.0154789i | ||||
\(71\) | −0.555766 | + | 7.06167i | −0.0659572 | + | 0.838066i | 0.871596 | + | 0.490225i | \(0.163085\pi\) |
−0.937553 | + | 0.347841i | \(0.886915\pi\) | |||||||
\(72\) | 5.35077 | + | 0.286726i | 0.630594 | + | 0.0337909i | ||||
\(73\) | 2.30026 | − | 2.30026i | 0.269225 | − | 0.269225i | −0.559563 | − | 0.828788i | \(-0.689031\pi\) |
0.828788 | + | 0.559563i | \(0.189031\pi\) | |||||||
\(74\) | −6.53300 | + | 3.18319i | −0.759446 | + | 0.370038i | ||||
\(75\) | −2.79938 | + | 1.71546i | −0.323244 | + | 0.198084i | ||||
\(76\) | −0.984941 | + | 3.54081i | −0.112981 | + | 0.406159i | ||||
\(77\) | 0.174227 | + | 0.341939i | 0.0198550 | + | 0.0389676i | ||||
\(78\) | 5.41559 | − | 3.78888i | 0.613195 | − | 0.429006i | ||||
\(79\) | −4.26313 | + | 10.2921i | −0.479640 | + | 1.15795i | 0.480138 | + | 0.877193i | \(0.340587\pi\) |
−0.959778 | + | 0.280760i | \(0.909413\pi\) | |||||||
\(80\) | 5.04839 | − | 2.13359i | 0.564428 | − | 0.238543i | ||||
\(81\) | 0.272601i | 0.0302890i | ||||||||
\(82\) | −0.695277 | + | 9.02865i | −0.0767805 | + | 0.997048i | ||||
\(83\) | − | 0.680085i | − | 0.0746490i | −0.999303 | − | 0.0373245i | \(-0.988116\pi\) | ||
0.999303 | − | 0.0373245i | \(-0.0118835\pi\) | |||||||
\(84\) | −0.142883 | + | 0.0174302i | −0.0155898 | + | 0.00190179i | ||||
\(85\) | −1.15105 | + | 2.77888i | −0.124849 | + | 0.301412i | ||||
\(86\) | −9.33483 | − | 13.3426i | −1.00660 | − | 1.43877i | ||||
\(87\) | −2.81510 | − | 5.52495i | −0.301810 | − | 0.592336i | ||||
\(88\) | −12.5920 | + | 9.63867i | −1.34231 | + | 1.02749i | ||||
\(89\) | −3.76682 | + | 2.30831i | −0.399282 | + | 0.244680i | −0.707615 | − | 0.706598i | \(-0.750229\pi\) |
0.308333 | + | 0.951279i | \(0.400229\pi\) | |||||||
\(90\) | 1.60798 | + | 3.30013i | 0.169496 | + | 0.347864i | ||||
\(91\) | 0.215144 | − | 0.215144i | 0.0225532 | − | 0.0225532i | ||||
\(92\) | 0.198439 | + | 0.294696i | 0.0206887 | + | 0.0307242i | ||||
\(93\) | −0.203319 | + | 2.58341i | −0.0210832 | + | 0.267887i | ||||
\(94\) | 7.15948 | − | 1.58428i | 0.738444 | − | 0.163406i | ||||
\(95\) | −2.44832 | + | 0.587789i | −0.251192 | + | 0.0603058i | ||||
\(96\) | −1.77742 | − | 5.67599i | −0.181407 | − | 0.579304i | ||||
\(97\) | 0.411057 | + | 5.22298i | 0.0417366 | + | 0.530313i | 0.981876 | + | 0.189524i | \(0.0606944\pi\) |
−0.940140 | + | 0.340790i | \(0.889306\pi\) | |||||||
\(98\) | 9.46173 | − | 2.88869i | 0.955779 | − | 0.291802i | ||||
\(99\) | −6.89809 | − | 8.07663i | −0.693284 | − | 0.811731i | ||||
\(100\) | −4.91826 | − | 3.84878i | −0.491826 | − | 0.384878i | ||||
\(101\) | 0.152737 | − | 0.636197i | 0.0151979 | − | 0.0633040i | −0.964256 | − | 0.264974i | \(-0.914637\pi\) |
0.979454 | + | 0.201670i | \(0.0646367\pi\) | |||||||
\(102\) | 2.88148 | + | 1.53356i | 0.285309 | + | 0.151845i | ||||
\(103\) | 5.78905 | − | 0.916895i | 0.570412 | − | 0.0903444i | 0.135435 | − | 0.990786i | \(-0.456757\pi\) |
0.434976 | + | 0.900442i | \(0.356757\pi\) | |||||||
\(104\) | 10.3527 | + | 7.13316i | 1.01517 | + | 0.699464i | ||||
\(105\) | −0.0579636 | − | 0.0797800i | −0.00565666 | − | 0.00778573i | ||||
\(106\) | 5.47575 | − | 0.332759i | 0.531852 | − | 0.0323204i | ||||
\(107\) | 13.3163 | + | 9.67487i | 1.28734 | + | 0.935305i | 0.999748 | − | 0.0224486i | \(-0.00714621\pi\) |
0.287589 | + | 0.957754i | \(0.407146\pi\) | |||||||
\(108\) | 9.64346 | − | 3.59694i | 0.927942 | − | 0.346115i | ||||
\(109\) | −17.0831 | + | 7.07607i | −1.63627 | + | 0.677764i | −0.995913 | − | 0.0903154i | \(-0.971213\pi\) |
−0.640354 | + | 0.768080i | \(0.721213\pi\) | |||||||
\(110\) | −9.96113 | − | 4.33586i | −0.949757 | − | 0.413408i | ||||
\(111\) | −3.50897 | + | 4.10847i | −0.333056 | + | 0.389959i | ||||
\(112\) | −0.126047 | − | 0.243063i | −0.0119103 | − | 0.0229673i | ||||
\(113\) | 9.09036 | − | 2.95364i | 0.855149 | − | 0.277855i | 0.151548 | − | 0.988450i | \(-0.451574\pi\) |
0.703601 | + | 0.710595i | \(0.251574\pi\) | |||||||
\(114\) | 0.379224 | + | 2.70601i | 0.0355176 | + | 0.253441i | ||||
\(115\) | −0.110501 | + | 0.216870i | −0.0103043 | + | 0.0202233i | ||||
\(116\) | 7.97538 | − | 8.68992i | 0.740495 | − | 0.806839i | ||||
\(117\) | −4.39993 | + | 7.18004i | −0.406774 | + | 0.663795i | ||||
\(118\) | −0.865245 | + | 4.89583i | −0.0796522 | + | 0.450698i | ||||
\(119\) | 0.142909 | + | 0.0464339i | 0.0131004 | + | 0.00425659i | ||||
\(120\) | 2.80836 | − | 2.95244i | 0.256367 | − | 0.269520i | ||||
\(121\) | 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 | ||||
\(126\) | 0.158054 | − | 0.0930177i | 0.0140806 | − | 0.00828668i | ||||
\(127\) | 0.888477 | − | 2.73445i | 0.0788396 | − | 0.242643i | −0.903867 | − | 0.427814i | \(-0.859284\pi\) |
0.982706 | + | 0.185171i | \(0.0592838\pi\) | |||||||
\(128\) | 8.93438 | − | 6.94095i | 0.789695 | − | 0.613499i | ||||
\(129\) | −10.3226 | − | 6.32570i | −0.908854 | − | 0.556947i | ||||
\(130\) | −0.828890 | + | 8.57316i | −0.0726984 | + | 0.751916i | ||||
\(131\) | 1.52348 | + | 0.776254i | 0.133107 | + | 0.0678216i | 0.519276 | − | 0.854607i | \(-0.326202\pi\) |
−0.386169 | + | 0.922428i | \(0.626202\pi\) | |||||||
\(132\) | −5.72381 | + | 10.3070i | −0.498194 | + | 0.897108i | ||||
\(133\) | 0.0388702 | + | 0.119630i | 0.00337047 | + | 0.0103732i | ||||
\(134\) | −5.68223 | + | 6.41752i | −0.490870 | + | 0.554390i | ||||
\(135\) | 5.36183 | + | 4.57943i | 0.461472 | + | 0.394135i | ||||
\(136\) | −0.817666 | + | 6.15491i | −0.0701143 | + | 0.527779i | ||||
\(137\) | −5.94306 | − | 14.3478i | −0.507750 | − | 1.22582i | −0.945176 | − | 0.326562i | \(-0.894110\pi\) |
0.437426 | − | 0.899255i | \(-0.355890\pi\) | |||||||
\(138\) | 0.222719 | + | 0.142010i | 0.0189591 | + | 0.0120887i | ||||
\(139\) | 8.19150 | − | 11.2746i | 0.694794 | − | 0.956301i | −0.305198 | − | 0.952289i | \(-0.598723\pi\) |
0.999992 | − | 0.00401251i | \(-0.00127722\pi\) | |||||||
\(140\) | 0.103655 | − | 0.156339i | 0.00876042 | − | 0.0132131i | ||||
\(141\) | 4.41048 | − | 3.20440i | 0.371429 | − | 0.269859i | ||||
\(142\) | −7.73231 | + | 6.36894i | −0.648881 | + | 0.534470i | ||||
\(143\) | −3.89844 | − | 24.6138i | −0.326004 | − | 2.05831i | ||||
\(144\) | 4.96264 | + | 5.72696i | 0.413553 | + | 0.477246i | ||||
\(145\) | 7.85737 | + | 1.88639i | 0.652519 | + | 0.156656i | ||||
\(146\) | 4.59979 | + | 0.0820914i | 0.380681 | + | 0.00679394i | ||||
\(147\) | 5.59285 | − | 4.77674i | 0.461290 | − | 0.393979i | ||||
\(148\) | −9.65487 | − | 3.52265i | −0.793625 | − | 0.289560i | ||||
\(149\) | 13.9170 | − | 1.09529i | 1.14013 | − | 0.0897301i | 0.505698 | − | 0.862710i | \(-0.331235\pi\) |
0.634430 | + | 0.772980i | \(0.281235\pi\) | |||||||
\(150\) | −4.49478 | − | 1.16431i | −0.366997 | − | 0.0950653i | ||||
\(151\) | −2.98930 | − | 12.4513i | −0.243266 | − | 1.01327i | −0.951586 | − | 0.307383i | \(-0.900547\pi\) |
0.708320 | − | 0.705891i | \(-0.249453\pi\) | |||||||
\(152\) | −4.57064 | + | 2.47471i | −0.370728 | + | 0.200725i | ||||
\(153\) | −4.14599 | − | 0.326296i | −0.335183 | − | 0.0263795i | ||||
\(154\) | −0.176896 | + | 0.513091i | −0.0142547 | + | 0.0413461i | ||||
\(155\) | −2.38791 | − | 2.38791i | −0.191802 | − | 0.191802i | ||||
\(156\) | 9.17398 | + | 1.79070i | 0.734506 | + | 0.143371i | ||||
\(157\) | −0.598934 | − | 0.977371i | −0.0478001 | − | 0.0780027i | 0.827848 | − | 0.560953i | \(-0.189565\pi\) |
−0.875648 | + | 0.482950i | \(0.839565\pi\) | |||||||
\(158\) | −14.6605 | + | 5.76830i | −1.16633 | + | 0.458901i | ||||
\(159\) | 3.63405 | − | 1.85164i | 0.288199 | − | 0.146845i | ||||
\(160\) | 7.12883 | + | 3.04250i | 0.563583 | + | 0.240530i | ||||
\(161\) | 0.0112340 | + | 0.00465326i | 0.000885360 | + | 0.000366728i | ||||
\(162\) | −0.277422 | + | 0.267693i | −0.0217963 | + | 0.0210320i | ||||
\(163\) | −16.8781 | −1.32200 | −0.660999 | − | 0.750387i | \(-0.729867\pi\) | ||||
−0.660999 | + | 0.750387i | \(0.729867\pi\) | |||||||
\(164\) | −9.87108 | + | 8.15854i | −0.770802 | + | 0.637075i | ||||
\(165\) | −8.07700 | −0.628794 | ||||||||
\(166\) | 0.692112 | − | 0.667841i | 0.0537183 | − | 0.0518345i | ||||
\(167\) | 22.2590 | + | 9.21999i | 1.72246 | + | 0.713465i | 0.999751 | + | 0.0223074i | \(0.00710125\pi\) |
0.722705 | + | 0.691157i | \(0.242899\pi\) | |||||||
\(168\) | −0.158049 | − | 0.128293i | −0.0121937 | − | 0.00989803i | ||||
\(169\) | −6.02108 | + | 3.06789i | −0.463160 | + | 0.235992i | ||||
\(170\) | −3.95835 | + | 1.55745i | −0.303592 | + | 0.119451i | ||||
\(171\) | −1.81901 | − | 2.96836i | −0.139103 | − | 0.226996i | ||||
\(172\) | 4.41182 | − | 22.6023i | 0.336398 | − | 1.72341i | ||||
\(173\) | −14.1769 | − | 14.1769i | −1.07785 | − | 1.07785i | −0.996702 | − | 0.0811479i | \(-0.974141\pi\) |
−0.0811479 | − | 0.996702i | \(-0.525859\pi\) | |||||||
\(174\) | 2.85823 | − | 8.29036i | 0.216682 | − | 0.628491i | ||||
\(175\) | −0.213085 | − | 0.0167701i | −0.0161077 | − | 0.00126770i | ||||
\(176\) | −22.1744 | − | 3.34951i | −1.67146 | − | 0.252478i | ||||
\(177\) | 0.862891 | + | 3.59420i | 0.0648588 | + | 0.270156i | ||||
\(178\) | −6.04814 | − | 1.56668i | −0.453327 | − | 0.117428i | ||||
\(179\) | −15.7323 | + | 1.23816i | −1.17589 | + | 0.0925442i | −0.651305 | − | 0.758816i | \(-0.725778\pi\) |
−0.524581 | + | 0.851361i | \(0.675778\pi\) | |||||||
\(180\) | −1.77946 | + | 4.87713i | −0.132633 | + | 0.363520i | ||||
\(181\) | 16.0722 | − | 13.7270i | 1.19464 | − | 1.02032i | 0.195423 | − | 0.980719i | \(-0.437392\pi\) |
0.999216 | − | 0.0395989i | \(-0.0126080\pi\) | |||||||
\(182\) | 0.430220 | + | 0.00767804i | 0.0318900 | + | 0.000569134i | ||||
\(183\) | −13.3601 | − | 3.20747i | −0.987605 | − | 0.237103i | ||||
\(184\) | −0.105041 | + | 0.491339i | −0.00774371 | + | 0.0362220i | ||||
\(185\) | −1.10145 | − | 6.95430i | −0.0809804 | − | 0.511290i | ||||
\(186\) | −2.82875 | + | 2.32999i | −0.207414 | + | 0.170843i | ||||
\(187\) | 9.95689 | − | 7.23411i | 0.728120 | − | 0.529010i | ||||
\(188\) | 8.64289 | + | 5.73034i | 0.630347 | + | 0.417928i | ||||
\(189\) | 0.207054 | − | 0.284986i | 0.0150610 | − | 0.0207297i | ||||
\(190\) | −3.00242 | − | 1.91441i | −0.217819 | − | 0.138886i | ||||
\(191\) | 4.52455 | + | 10.9232i | 0.327385 | + | 0.790378i | 0.998785 | + | 0.0492825i | \(0.0156935\pi\) |
−0.671400 | + | 0.741096i | \(0.734307\pi\) | |||||||
\(192\) | 4.03095 | − | 7.38266i | 0.290909 | − | 0.532798i | ||||
\(193\) | 0.777658 | + | 0.664183i | 0.0559771 | + | 0.0478089i | 0.676997 | − | 0.735986i | \(-0.263281\pi\) |
−0.621019 | + | 0.783795i | \(0.713281\pi\) | |||||||
\(194\) | −4.91169 | + | 5.54728i | −0.352639 | + | 0.398271i | ||||
\(195\) | 1.97883 | + | 6.09022i | 0.141707 | + | 0.436130i | ||||
\(196\) | 12.2312 | + | 6.79237i | 0.873655 | + | 0.485170i | ||||
\(197\) | −1.35754 | − | 0.691699i | −0.0967204 | − | 0.0492815i | 0.404961 | − | 0.914334i | \(-0.367285\pi\) |
−0.501681 | + | 0.865052i | \(0.667285\pi\) | |||||||
\(198\) | 1.44556 | − | 14.9513i | 0.102731 | − | 1.06254i | ||||
\(199\) | 21.1179 | + | 12.9411i | 1.49701 | + | 0.917369i | 0.998732 | + | 0.0503524i | \(0.0160344\pi\) |
0.498279 | + | 0.867017i | \(0.333966\pi\) | |||||||
\(200\) | −0.912879 | − | 8.78473i | −0.0645503 | − | 0.621174i | ||||
\(201\) | −1.96929 | + | 6.06085i | −0.138903 | + | 0.427499i | ||||
\(202\) | 0.797436 | − | 0.469305i | 0.0561074 | − | 0.0330202i | ||||
\(203\) | 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 | ||||
\(208\) | 2.90704 | + | 17.5406i | 0.201567 | + | 1.21622i | ||||
\(209\) | 9.79837 | + | 3.18368i | 0.677768 | + | 0.220220i | ||||
\(210\) | 0.0242709 | − | 0.137332i | 0.00167485 | − | 0.00947683i | ||||
\(211\) | −5.56544 | + | 9.08197i | −0.383141 | + | 0.625229i | −0.984834 | − | 0.173498i | \(-0.944493\pi\) |
0.601694 | + | 0.798727i | \(0.294493\pi\) | |||||||
\(212\) | 5.71582 | + | 5.24582i | 0.392564 | + | 0.360285i | ||||
\(213\) | −3.38123 | + | 6.63605i | −0.231678 | + | 0.454694i | ||||
\(214\) | 3.23061 | + | 23.0525i | 0.220840 | + | 1.57584i | ||||
\(215\) | 15.0047 | − | 4.87534i | 1.02331 | − | 0.332495i | ||||
\(216\) | 13.1304 | + | 6.28182i | 0.893410 | + | 0.427424i | ||||
\(217\) | −0.109566 | + | 0.128285i | −0.00743782 | + | 0.00870857i | ||||
\(218\) | −23.9768 | − | 10.4366i | −1.62391 | − | 0.706854i | ||||
\(219\) | 3.16000 | − | 1.30892i | 0.213533 | − | 0.0884483i | ||||
\(220\) | −5.36926 | − | 14.3951i | −0.361995 | − | 0.970517i | ||||
\(221\) | −7.89406 | − | 5.73537i | −0.531012 | − | 0.385803i | ||||
\(222\) | −7.62692 | + | 0.463485i | −0.511885 | + | 0.0311070i | ||||
\(223\) | −4.15170 | − | 5.71432i | −0.278018 | − | 0.382659i | 0.647058 | − | 0.762441i | \(-0.275999\pi\) |
−0.925076 | + | 0.379782i | \(0.875999\pi\) | |||||||
\(224\) | 0.123584 | − | 0.366964i | 0.00825729 | − | 0.0245188i | ||||
\(225\) | 5.84291 | − | 0.925426i | 0.389527 | − | 0.0616951i | ||||
\(226\) | 11.9326 | + | 6.35066i | 0.793743 | + | 0.422439i | ||||
\(227\) | 6.38700 | − | 26.6038i | 0.423920 | − | 1.76575i | −0.195509 | − | 0.980702i | \(-0.562636\pi\) |
0.619429 | − | 0.785053i | \(-0.287364\pi\) | |||||||
\(228\) | −2.38146 | + | 3.04322i | −0.157716 | + | 0.201542i | ||||
\(229\) | −9.62234 | − | 11.2663i | −0.635862 | − | 0.744499i | 0.345128 | − | 0.938556i | \(-0.387835\pi\) |
−0.980990 | + | 0.194057i | \(0.937835\pi\) | |||||||
\(230\) | −0.329217 | + | 0.100511i | −0.0217080 | + | 0.00662749i | ||||
\(231\) | 0.0316586 | + | 0.402260i | 0.00208298 | + | 0.0264668i | ||||
\(232\) | 16.6754 | − | 0.417057i | 1.09479 | − | 0.0273811i | ||||
\(233\) | −1.48172 | + | 0.355731i | −0.0970710 | + | 0.0233047i | −0.281690 | − | 0.959506i | \(-0.590895\pi\) |
0.184619 | + | 0.982810i | \(0.440895\pi\) | |||||||
\(234\) | −11.6277 | + | 2.57303i | −0.760129 | + | 0.168204i | ||||
\(235\) | −0.557404 | + | 7.08249i | −0.0363610 | + | 0.462010i | ||||
\(236\) | −5.83208 | + | 3.92715i | −0.379636 | + | 0.255635i | ||||
\(237\) | −8.28237 | + | 8.28237i | −0.537998 | + | 0.537998i | ||||
\(238\) | 0.0930809 | + | 0.191034i | 0.00603354 | + | 0.0123829i | ||||
\(239\) | −13.1460 | + | 8.05590i | −0.850347 | + | 0.521093i | −0.878075 | − | 0.478522i | \(-0.841173\pi\) |
0.0277287 | + | 0.999615i | \(0.491173\pi\) | |||||||
\(240\) | 5.76246 | − | 0.0412612i | 0.371965 | − | 0.00266340i | ||||
\(241\) | 10.9721 | + | 21.5340i | 0.706777 | + | 1.38713i | 0.912729 | + | 0.408566i | \(0.133971\pi\) |
−0.205951 | + | 0.978562i | \(0.566029\pi\) | |||||||
\(242\) | 16.5649 | + | 23.6769i | 1.06483 | + | 1.52201i | ||||
\(243\) | −6.01780 | + | 14.5283i | −0.386042 | + | 0.931988i | ||||
\(244\) | −3.16477 | − | 25.9430i | −0.202604 | − | 1.66083i | ||||
\(245\) | 9.58487i | 0.612355i | ||||||||
\(246\) | −4.30820 | + | 8.49063i | −0.274681 | + | 0.541343i | ||||
\(247\) | − | 8.16816i | − | 0.519727i | ||||||
\(248\) | −6.03302 | − | 3.49262i | −0.383097 | − | 0.221782i | ||||
\(249\) | 0.273642 | − | 0.660630i | 0.0173414 | − | 0.0418657i | ||||
\(250\) | 12.8965 | − | 9.02271i | 0.815647 | − | 0.570646i | ||||
\(251\) | 13.5019 | + | 26.4990i | 0.852234 | + | 1.67260i | 0.733512 | + | 0.679677i | \(0.237880\pi\) |
0.118723 | + | 0.992927i | \(0.462120\pi\) | |||||||
\(252\) | 0.249872 | + | 0.0695063i | 0.0157404 | + | 0.00437849i | ||||
\(253\) | 0.849175 | − | 0.520375i | 0.0533872 | − | 0.0327157i | ||||
\(254\) | 3.65529 | − | 1.78103i | 0.229353 | − | 0.111752i | ||||
\(255\) | −2.23625 | + | 2.23625i | −0.140039 | + | 0.140039i | ||||
\(256\) | 15.8372 | + | 2.27640i | 0.989827 | + | 0.142275i | ||||
\(257\) | −0.450926 | + | 5.72956i | −0.0281280 | + | 0.357400i | 0.966706 | + | 0.255888i | \(0.0823679\pi\) |
−0.994834 | + | 0.101512i | \(0.967632\pi\) | |||||||
\(258\) | −3.69920 | − | 16.7170i | −0.230302 | − | 1.04075i | ||||
\(259\) | −0.342029 | + | 0.0821139i | −0.0212527 | + | 0.00510231i | ||||
\(260\) | −9.53874 | + | 7.57527i | −0.591568 | + | 0.469798i | ||||
\(261\) | 0.876605 | + | 11.1383i | 0.0542605 | + | 0.689445i | ||||
\(262\) | 0.706074 | + | 2.31270i | 0.0436214 | + | 0.142879i | ||||
\(263\) | 5.00690 | + | 5.86233i | 0.308739 | + | 0.361487i | 0.892982 | − | 0.450092i | \(-0.148609\pi\) |
−0.584244 | + | 0.811578i | \(0.698609\pi\) | |||||||
\(264\) | −16.1100 | + | 4.29639i | −0.991504 | + | 0.264424i | ||||
\(265\) | −1.24078 | + | 5.16821i | −0.0762203 | + | 0.317480i | ||||
\(266\) | −0.0835753 | + | 0.157034i | −0.00512433 | + | 0.00962837i | ||||
\(267\) | −4.58785 | + | 0.726644i | −0.280772 | + | 0.0444699i | ||||
\(268\) | −12.1109 | + | 0.519272i | −0.739794 | + | 0.0317196i | ||||
\(269\) | 12.2012 | + | 16.7935i | 0.743921 | + | 1.02392i | 0.998383 | + | 0.0568367i | \(0.0181014\pi\) |
−0.254463 | + | 0.967083i | \(0.581899\pi\) | |||||||
\(270\) | 0.604878 | + | 9.95364i | 0.0368117 | + | 0.605759i | ||||
\(271\) | 16.4700 | + | 11.9662i | 1.00048 | + | 0.726894i | 0.962192 | − | 0.272372i | \(-0.0878083\pi\) |
0.0382920 | + | 0.999267i | \(0.487808\pi\) | |||||||
\(272\) | −7.06670 | + | 5.21197i | −0.428482 | + | 0.316022i | ||||
\(273\) | 0.295556 | − | 0.122423i | 0.0178879 | − | 0.00740940i | ||||
\(274\) | 8.76549 | − | 20.1377i | 0.529543 | − | 1.21656i | ||||
\(275\) | −11.3697 | + | 13.3123i | −0.685622 | + | 0.802760i | ||||
\(276\) | 0.0741875 | + | 0.366111i | 0.00446556 | + | 0.0220373i | ||||
\(277\) | −8.06688 | + | 2.62109i | −0.484692 | + | 0.157486i | −0.541162 | − | 0.840918i | \(-0.682015\pi\) |
0.0564700 | + | 0.998404i | \(0.482015\pi\) | |||||||
\(278\) | 19.5180 | − | 2.73529i | 1.17061 | − | 0.164052i | ||||
\(279\) | 2.11980 | − | 4.16034i | 0.126909 | − | 0.249073i | ||||
\(280\) | 0.260892 | − | 0.0480366i | 0.0155913 | − | 0.00287074i | ||||
\(281\) | 10.9931 | − | 17.9390i | 0.655791 | − | 1.07015i | −0.335948 | − | 0.941880i | \(-0.609057\pi\) |
0.991739 | − | 0.128273i | \(-0.0409433\pi\) | |||||||
\(282\) | 7.59214 | + | 1.34176i | 0.452105 | + | 0.0799009i | ||||
\(283\) | −23.2594 | − | 7.55743i | −1.38263 | − | 0.449243i | −0.479095 | − | 0.877763i | \(-0.659035\pi\) |
−0.903532 | + | 0.428521i | \(0.859035\pi\) | |||||||
\(284\) | −14.0747 | − | 1.61478i | −0.835179 | − | 0.0958193i | ||||
\(285\) | −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 | ||||
\(290\) | 5.79617 | + | 9.84876i | 0.340363 | + | 0.578339i | ||||
\(291\) | −1.70224 | + | 5.23897i | −0.0997873 | + | 0.307114i | ||||
\(292\) | 4.43343 | + | 4.76175i | 0.259447 | + | 0.278660i | ||||
\(293\) | 1.66784 | + | 1.02205i | 0.0974361 | + | 0.0597089i | 0.570363 | − | 0.821393i | \(-0.306803\pi\) |
−0.472927 | + | 0.881102i | \(0.656803\pi\) | |||||||
\(294\) | 10.3534 | + | 1.00101i | 0.603821 | + | 0.0583800i | ||||
\(295\) | −4.29191 | − | 2.18683i | −0.249884 | − | 0.127322i | ||||
\(296\) | −5.89610 | − | 13.2848i | −0.342704 | − | 0.772166i | ||||
\(297\) | −8.91582 | − | 27.4401i | −0.517348 | − | 1.59223i | ||||
\(298\) | 14.7812 | + | 13.0876i | 0.856249 | + | 0.758143i | ||||
\(299\) | −0.600417 | − | 0.512805i | −0.0347230 | − | 0.0296563i | ||||
\(300\) | −3.22896 | − | 5.71761i | −0.186424 | − | 0.330107i | ||||
\(301\) | −0.301620 | − | 0.728175i | −0.0173851 | − | 0.0419713i | ||||
\(302\) | 9.73604 | − | 15.2693i | 0.560246 | − | 0.878651i | ||||
\(303\) | 0.404352 | − | 0.556542i | 0.0232294 | − | 0.0319725i | ||||
\(304\) | −7.00682 | − | 2.22132i | −0.401869 | − | 0.127401i | ||||
\(305\) | 14.4855 | − | 10.5243i | 0.829438 | − | 0.602622i | ||||
\(306\) | −3.73928 | − | 4.53973i | −0.213760 | − | 0.259519i | ||||
\(307\) | −4.86256 | − | 30.7010i | −0.277521 | − | 1.75220i | −0.594807 | − | 0.803869i | \(-0.702771\pi\) |
0.317286 | − | 0.948330i | \(-0.397229\pi\) | |||||||
\(308\) | −0.695876 | + | 0.323829i | −0.0396512 | + | 0.0184519i | ||||
\(309\) | 5.99237 | + | 1.43864i | 0.340894 | + | 0.0818415i | ||||
\(310\) | 0.0852195 | − | 4.77506i | 0.00484014 | − | 0.271205i | ||||
\(311\) | −17.3371 | + | 14.8073i | −0.983096 | + | 0.839643i | −0.987060 | − | 0.160349i | \(-0.948738\pi\) |
0.00396446 | + | 0.999992i | \(0.498738\pi\) | |||||||
\(312\) | 7.18645 | + | 11.0947i | 0.406853 | + | 0.628113i | ||||
\(313\) | −3.12397 | + | 0.245862i | −0.176577 | + | 0.0138969i | −0.166439 | − | 0.986052i | \(-0.553227\pi\) |
−0.0101379 | + | 0.999949i | \(0.503227\pi\) | |||||||
\(314\) | 0.406504 | − | 1.56930i | 0.0229404 | − | 0.0885607i | ||||
\(315\) | 0.0414796 | + | 0.172775i | 0.00233711 | + | 0.00973478i | ||||
\(316\) | −20.2669 | − | 9.25533i | −1.14010 | − | 0.520653i | ||||
\(317\) | −13.6023 | − | 1.07052i | −0.763982 | − | 0.0601267i | −0.309520 | − | 0.950893i | \(-0.600168\pi\) |
−0.454462 | + | 0.890766i | \(0.650168\pi\) | |||||||
\(318\) | 5.45301 | + | 1.88001i | 0.305789 | + | 0.105426i | ||||
\(319\) | −23.3799 | − | 23.3799i | −1.30902 | − | 1.30902i | ||||
\(320\) | 3.90419 | + | 10.2426i | 0.218251 | + | 0.572580i | ||||
\(321\) | 9.04257 | + | 14.7561i | 0.504707 | + | 0.823607i | ||||
\(322\) | 0.00629616 | + | 0.0160021i | 0.000350872 | + | 0.000891763i | ||||
\(323\) | 3.59429 | − | 1.83138i | 0.199992 | − | 0.101901i | ||||
\(324\) | −0.544855 | − | 0.0194540i | −0.0302697 | − | 0.00108078i | ||||
\(325\) | 12.8233 | + | 5.31157i | 0.711306 | + | 0.294633i | ||||
\(326\) | −16.5743 | − | 17.1766i | −0.917964 | − | 0.951325i | ||||
\(327\) | −19.4416 | −1.07512 | ||||||||
\(328\) | −17.9962 | − | 2.03399i | −0.993673 | − | 0.112308i | ||||
\(329\) | 0.354915 | 0.0195671 | ||||||||
\(330\) | −7.93159 | − | 8.21984i | −0.436620 | − | 0.452487i | ||||
\(331\) | 3.84823 | + | 1.59399i | 0.211518 | + | 0.0876135i | 0.485927 | − | 0.874000i | \(-0.338482\pi\) |
−0.274409 | + | 0.961613i | \(0.588482\pi\) | |||||||
\(332\) | 1.35930 | + | 0.0485339i | 0.0746014 | + | 0.00266364i | ||||
\(333\) | 8.67419 | − | 4.41972i | 0.475343 | − | 0.242199i | ||||
\(334\) | 12.4753 | + | 31.7067i | 0.682615 | + | 1.73491i | ||||
\(335\) | −4.33921 | − | 7.08095i | −0.237077 | − | 0.386874i | ||||
\(336\) | −0.0246415 | − | 0.286827i | −0.00134430 | − | 0.0156477i | ||||
\(337\) | −10.6711 | − | 10.6711i | −0.581291 | − | 0.581291i | 0.353967 | − | 0.935258i | \(-0.384833\pi\) |
−0.935258 | + | 0.353967i | \(0.884833\pi\) | |||||||
\(338\) | −9.03483 | − | 3.11490i | −0.491430 | − | 0.169428i | ||||
\(339\) | 10.0188 | + | 0.788494i | 0.544144 | + | 0.0428251i | ||||
\(340\) | −5.47208 | − | 2.49895i | −0.296765 | − | 0.135524i | ||||
\(341\) | 3.22574 | + | 13.4362i | 0.174684 | + | 0.727611i | ||||
\(342\) | 1.23459 | − | 4.76610i | 0.0667589 | − | 0.257721i | ||||
\(343\) | 0.955034 | − | 0.0751628i | 0.0515670 | − | 0.00405841i | ||||
\(344\) | 27.3345 | − | 17.7056i | 1.47378 | − | 0.954621i | ||||
\(345\) | −0.194601 | + | 0.166205i | −0.0104770 | + | 0.00894818i | ||||
\(346\) | 0.505944 | − | 28.3493i | 0.0271997 | − | 1.52407i | ||||
\(347\) | −18.1734 | − | 4.36305i | −0.975600 | − | 0.234221i | −0.285854 | − | 0.958273i | \(-0.592277\pi\) |
−0.689745 | + | 0.724052i | \(0.742277\pi\) | |||||||
\(348\) | 11.2438 | − | 5.23233i | 0.602728 | − | 0.280482i | ||||
\(349\) | −2.84588 | − | 17.9682i | −0.152336 | − | 0.961813i | −0.938871 | − | 0.344268i | \(-0.888127\pi\) |
0.786535 | − | 0.617545i | \(-0.211873\pi\) | |||||||
\(350\) | −0.192182 | − | 0.233321i | −0.0102725 | − | 0.0124715i | ||||
\(351\) | −18.5060 | + | 13.4454i | −0.987778 | + | 0.717663i | ||||
\(352\) | −18.3665 | − | 25.8558i | −0.978935 | − | 1.37812i | ||||
\(353\) | −12.6659 | + | 17.4332i | −0.674140 | + | 0.927874i | −0.999845 | − | 0.0175974i | \(-0.994398\pi\) |
0.325705 | + | 0.945471i | \(0.394398\pi\) | |||||||
\(354\) | −2.81040 | + | 4.40764i | −0.149371 | + | 0.234263i | ||||
\(355\) | −3.71421 | − | 8.96691i | −0.197130 | − | 0.475914i | ||||
\(356\) | −4.34486 | − | 7.69358i | −0.230277 | − | 0.407759i | ||||
\(357\) | 0.120137 | + | 0.102607i | 0.00635835 | + | 0.00543054i | ||||
\(358\) | −16.7091 | − | 14.7946i | −0.883103 | − | 0.781921i | ||||
\(359\) | −1.94173 | − | 5.97603i | −0.102481 | − | 0.315403i | 0.886650 | − | 0.462440i | \(-0.153026\pi\) |
−0.989131 | + | 0.147038i | \(0.953026\pi\) | |||||||
\(360\) | −6.71080 | + | 2.97840i | −0.353690 | + | 0.156976i | ||||
\(361\) | −13.9203 | − | 7.09275i | −0.732648 | − | 0.373303i | ||||
\(362\) | 29.7526 | + | 2.87661i | 1.56376 | + | 0.151191i | ||||
\(363\) | 18.3177 | + | 11.2251i | 0.961432 | + | 0.589166i | ||||
\(364\) | 0.414660 | + | 0.445368i | 0.0217341 | + | 0.0233436i | ||||
\(365\) | −1.37738 | + | 4.23913i | −0.0720953 | + | 0.221886i | ||||
\(366\) | −9.85536 | − | 16.7461i | −0.515148 | − | 0.875331i | ||||
\(367\) | 1.89680 | − | 11.9759i | 0.0990120 | − | 0.625137i | −0.887419 | − | 0.460963i | \(-0.847504\pi\) |
0.986431 | − | 0.164174i | \(-0.0524959\pi\) | |||||||
\(368\) | −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 | ||||
\(372\) | −5.14902 | − | 0.590742i | −0.266964 | − | 0.0306286i | ||||
\(373\) | 28.5916 | + | 9.28997i | 1.48042 | + | 0.481016i | 0.934237 | − | 0.356652i | \(-0.116082\pi\) |
0.546179 | + | 0.837668i | \(0.316082\pi\) | |||||||
\(374\) | 17.1397 | + | 3.02911i | 0.886272 | + | 0.156631i | ||||
\(375\) | 6.11419 | − | 9.97746i | 0.315736 | − | 0.515234i | ||||
\(376\) | 2.65561 | + | 14.4229i | 0.136952 | + | 0.743805i | ||||
\(377\) | −11.9009 | + | 23.3569i | −0.612929 | + | 1.20294i | ||||
\(378\) | 0.493352 | − | 0.0691391i | 0.0253753 | − | 0.00355613i | ||||
\(379\) | 21.5518 | − | 7.00260i | 1.10704 | − | 0.359699i | 0.302232 | − | 0.953234i | \(-0.402268\pi\) |
0.804808 | + | 0.593535i | \(0.202268\pi\) | |||||||
\(380\) | −1.00011 | − | 4.93546i | −0.0513043 | − | 0.253184i | ||||
\(381\) | 1.96331 | − | 2.29874i | 0.100583 | − | 0.117768i | ||||
\(382\) | −6.67332 | + | 15.3312i | −0.341437 | + | 0.784410i | ||||
\(383\) | −14.0554 | + | 5.82192i | −0.718195 | + | 0.297486i | −0.711691 | − | 0.702493i | \(-0.752070\pi\) |
−0.00650422 | + | 0.999979i | \(0.502070\pi\) | |||||||
\(384\) | 11.4716 | − | 3.14752i | 0.585408 | − | 0.160621i | ||||
\(385\) | −0.425407 | − | 0.309076i | −0.0216807 | − | 0.0157520i | ||||
\(386\) | 0.0877292 | + | 1.44364i | 0.00446530 | + | 0.0734792i | ||||
\(387\) | 12.8220 | + | 17.6480i | 0.651778 | + | 0.897096i | ||||
\(388\) | −10.4686 | + | 0.448856i | −0.531465 | + | 0.0227872i | ||||
\(389\) | 4.82911 | − | 0.764857i | 0.244846 | − | 0.0387798i | −0.0328052 | − | 0.999462i | \(-0.510444\pi\) |
0.277651 | + | 0.960682i | \(0.410444\pi\) | |||||||
\(390\) | −4.25472 | + | 7.99440i | −0.215446 | + | 0.404812i | ||||
\(391\) | 0.0910335 | − | 0.379182i | 0.00460376 | − | 0.0191760i | ||||
\(392\) | 5.09847 | + | 19.1176i | 0.257512 | + | 0.965582i | ||||
\(393\) | 1.16757 | + | 1.36704i | 0.0588959 | + | 0.0689583i | ||||
\(394\) | −0.629164 | − | 2.06079i | −0.0316968 | − | 0.103821i | ||||
\(395\) | −1.19760 | − | 15.2169i | −0.0602578 | − | 0.765648i | ||||
\(396\) | 16.6352 | − | 13.2110i | 0.835952 | − | 0.663878i | ||||
\(397\) | 15.5392 | − | 3.73063i | 0.779889 | − | 0.187235i | 0.176093 | − | 0.984374i | \(-0.443654\pi\) |
0.603796 | + | 0.797139i | \(0.293654\pi\) | |||||||
\(398\) | 7.56780 | + | 34.1995i | 0.379339 | + | 1.71427i | ||||
\(399\) | −0.0103767 | + | 0.131848i | −0.000519483 | + | 0.00660065i | ||||
\(400\) | 8.04364 | − | 9.55560i | 0.402182 | − | 0.477780i | ||||
\(401\) | −4.87335 | + | 4.87335i | −0.243364 | + | 0.243364i | −0.818240 | − | 0.574876i | \(-0.805050\pi\) |
0.574876 | + | 0.818240i | \(0.305050\pi\) | |||||||
\(402\) | −8.10187 | + | 3.94762i | −0.404084 | + | 0.196889i | ||||
\(403\) | 9.34086 | − | 5.72409i | 0.465301 | − | 0.285137i | ||||
\(404\) | 1.26068 | + | 0.350682i | 0.0627214 | + | 0.0174471i | ||||
\(405\) | −0.169572 | − | 0.332803i | −0.00842608 | − | 0.0165371i | ||||
\(406\) | 0.467781 | − | 0.327271i | 0.0232156 | − | 0.0162422i | ||||
\(407\) | −11.0252 | + | 26.6171i | −0.546497 | + | 1.31936i | ||||
\(408\) | −3.27079 | + | 5.64984i | −0.161928 | + | 0.279709i | ||||
\(409\) | 12.9631i | 0.640984i | 0.947251 | + | 0.320492i | \(0.103848\pi\) | ||||
−0.947251 | + | 0.320492i | \(0.896152\pi\) | |||||||
\(410\) | −4.76746 | − | 11.4551i | −0.235448 | − | 0.565726i | ||||
\(411\) | − | 16.3287i | − | 0.805434i | ||||||
\(412\) | 1.41949 | + | 11.6362i | 0.0699333 | + | 0.573272i | ||||
\(413\) | −0.0920888 | + | 0.222322i | −0.00453140 | + | 0.0109398i | ||||
\(414\) | −0.272833 | − | 0.389971i | −0.0134090 | − | 0.0191660i | ||||
\(415\) | 0.423047 | + | 0.830277i | 0.0207666 | + | 0.0407567i | ||||
\(416\) | −14.9960 | + | 20.1832i | −0.735242 | + | 0.989564i | ||||
\(417\) | 12.4937 | − | 7.65614i | 0.611818 | − | 0.374923i | ||||
\(418\) | 6.38199 | + | 13.0980i | 0.312153 | + | 0.640645i | ||||
\(419\) | −2.52914 | + | 2.52914i | −0.123556 | + | 0.123556i | −0.766181 | − | 0.642625i | \(-0.777845\pi\) |
0.642625 | + | 0.766181i | \(0.277845\pi\) | |||||||
\(420\) | 0.163595 | − | 0.110160i | 0.00798261 | − | 0.00537525i | ||||
\(421\) | −0.263081 | + | 3.34276i | −0.0128218 | + | 0.162916i | 0.987173 | + | 0.159655i | \(0.0510381\pi\) |
−0.999995 | + | 0.00326125i | \(0.998962\pi\) | |||||||
\(422\) | −14.7078 | + | 3.25460i | −0.715966 | + | 0.158432i | ||||
\(423\) | −9.55153 | + | 2.29312i | −0.464411 | + | 0.111495i | ||||
\(424\) | 0.274320 | + | 10.9683i | 0.0133222 | + | 0.532667i | ||||
\(425\) | 0.537817 | + | 6.83361i | 0.0260879 | + | 0.331479i | ||||
\(426\) | −10.0738 | + | 3.07555i | −0.488076 | + | 0.149011i | ||||
\(427\) | −0.580923 | − | 0.680174i | −0.0281128 | − | 0.0329159i | ||||
\(428\) | −20.2877 | + | 25.9252i | −0.980645 | + | 1.25314i | ||||
\(429\) | 6.11679 | − | 25.4783i | 0.295321 | − | 1.23010i | ||||
\(430\) | 19.6962 | + | 10.4825i | 0.949833 | + | 0.505513i | ||||
\(431\) | 39.3392 | − | 6.23071i | 1.89490 | − | 0.300123i | 0.903254 | − | 0.429107i | \(-0.141172\pi\) |
0.991647 | + | 0.128984i | \(0.0411716\pi\) | |||||||
\(432\) | 6.50109 | + | 19.5313i | 0.312784 | + | 0.939701i | ||||
\(433\) | −6.35332 | − | 8.74460i | −0.305321 | − | 0.420239i | 0.628594 | − | 0.777734i | \(-0.283631\pi\) |
−0.933915 | + | 0.357495i | \(0.883631\pi\) | |||||||
\(434\) | −0.238147 | + | 0.0144721i | −0.0114314 | + | 0.000694683i | ||||
\(435\) | 6.87359 | + | 4.99396i | 0.329564 | + | 0.239442i | ||||
\(436\) | −12.9240 | − | 34.6495i | −0.618947 | − | 1.65941i | ||||
\(437\) | 0.301587 | − | 0.124921i | 0.0144269 | − | 0.00597580i | ||||
\(438\) | 4.43518 | + | 1.93053i | 0.211921 | + | 0.0922445i | ||||
\(439\) | 16.4006 | − | 19.2027i | 0.782760 | − | 0.916494i | −0.215437 | − | 0.976518i | \(-0.569118\pi\) |
0.998197 | + | 0.0600238i | \(0.0191177\pi\) | |||||||
\(440\) | 9.37707 | − | 19.6001i | 0.447034 | − | 0.934400i | ||||
\(441\) | −12.6040 | + | 4.09528i | −0.600189 | + | 0.195013i | ||||
\(442\) | −1.91514 | − | 13.6658i | −0.0910940 | − | 0.650015i | ||||
\(443\) | −6.73454 | + | 13.2173i | −0.319968 | + | 0.627972i | −0.993834 | − | 0.110882i | \(-0.964633\pi\) |
0.673866 | + | 0.738854i | \(0.264633\pi\) | |||||||
\(444\) | −7.96129 | − | 7.30666i | −0.377826 | − | 0.346759i | ||||
\(445\) | 3.16281 | − | 5.16124i | 0.149932 | − | 0.244666i | ||||
\(446\) | 1.73842 | − | 9.83656i | 0.0823167 | − | 0.465775i | ||||
\(447\) | 13.9596 | + | 4.53576i | 0.660268 | + | 0.214534i | ||||
\(448\) | 0.494812 | − | 0.234588i | 0.0233777 | − | 0.0110832i | ||||
\(449\) | 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 | ||||
\(454\) | 33.3463 | − | 19.6249i | 1.56502 | − | 0.921041i | ||||
\(455\) | −0.128827 | + | 0.396488i | −0.00603949 | + | 0.0185876i | ||||
\(456\) | −5.43563 | + | 0.564852i | −0.254547 | + | 0.0264516i | ||||
\(457\) | −23.4627 | − | 14.3780i | −1.09754 | − | 0.672572i | −0.148873 | − | 0.988856i | \(-0.547565\pi\) |
−0.948665 | + | 0.316284i | \(0.897565\pi\) | |||||||
\(458\) | 2.01645 | − | 20.8560i | 0.0942224 | − | 0.974536i | ||||
\(459\) | −10.0657 | − | 5.12874i | −0.469827 | − | 0.239389i | ||||
\(460\) | −0.425579 | − | 0.236338i | −0.0198427 | − | 0.0110193i | ||||
\(461\) | 8.53671 | + | 26.2733i | 0.397594 | + | 1.22367i | 0.926923 | + | 0.375253i | \(0.122444\pi\) |
−0.529328 | + | 0.848417i | \(0.677556\pi\) | |||||||
\(462\) | −0.378286 | + | 0.427237i | −0.0175994 | + | 0.0198769i | ||||
\(463\) | 17.0742 | + | 14.5827i | 0.793505 | + | 0.677717i | 0.950790 | − | 0.309836i | \(-0.100274\pi\) |
−0.157285 | + | 0.987553i | \(0.550274\pi\) | |||||||
\(464\) | 16.7996 | + | 16.5607i | 0.779903 | + | 0.768813i | ||||
\(465\) | −1.35879 | − | 3.28041i | −0.0630124 | − | 0.152125i | ||||
\(466\) | −1.81707 | − | 1.15860i | −0.0841742 | − | 0.0536712i | ||||
\(467\) | 18.2782 | − | 25.1578i | 0.845816 | − | 1.16417i | −0.138953 | − | 0.990299i | \(-0.544374\pi\) |
0.984769 | − | 0.173867i | \(-0.0556261\pi\) | |||||||
\(468\) | −14.0369 | − | 9.30666i | −0.648857 | − | 0.430201i | ||||
\(469\) | −0.335646 | + | 0.243861i | −0.0154987 | + | 0.0112605i | ||||
\(470\) | −7.75511 | + | 6.38772i | −0.357716 | + | 0.294643i | ||||
\(471\) | −0.188541 | − | 1.19040i | −0.00868752 | − | 0.0548508i | ||||
\(472\) | −9.72368 | − | 2.07878i | −0.447569 | − | 0.0956834i | ||||
\(473\) | −62.7719 | − | 15.0702i | −2.88626 | − | 0.692929i | ||||
\(474\) | −16.5621 | − | 0.295580i | −0.760722 | − | 0.0135765i | ||||
\(475\) | −4.36333 | + | 3.72664i | −0.200203 | + | 0.170990i | ||||
\(476\) | −0.103007 | + | 0.282322i | −0.00472133 | + | 0.0129402i | ||||
\(477\) | −7.32626 | + | 0.576589i | −0.335446 | + | 0.0264002i | ||||
\(478\) | −21.1077 | − | 5.46765i | −0.965446 | − | 0.250085i | ||||
\(479\) | −1.86243 | − | 7.75759i | −0.0850968 | − | 0.354454i | 0.913534 | − | 0.406762i | \(-0.133342\pi\) |
−0.998631 | + | 0.0523083i | \(0.983342\pi\) | |||||||
\(480\) | 5.70071 | + | 5.82385i | 0.260201 | + | 0.265821i | ||||
\(481\) | 22.7709 | + | 1.79211i | 1.03827 | + | 0.0817132i | ||||
\(482\) | −11.1402 | + | 32.3125i | −0.507424 | + | 1.47179i | ||||
\(483\) | 0.00904030 | + | 0.00904030i | 0.000411348 | + | 0.000411348i | ||||
\(484\) | −7.82890 | + | 40.1085i | −0.355859 | + | 1.82311i | ||||
\(485\) | −3.75080 | − | 6.12074i | −0.170315 | − | 0.277929i | ||||
\(486\) | −20.6947 | + | 8.14248i | −0.938728 | + | 0.369350i | ||||
\(487\) | −28.7722 | + | 14.6602i | −1.30379 | + | 0.664315i | −0.961377 | − | 0.275233i | \(-0.911245\pi\) |
−0.342415 | + | 0.939549i | \(0.611245\pi\) | |||||||
\(488\) | 23.2940 | − | 28.6966i | 1.05447 | − | 1.29904i | ||||
\(489\) | −16.3953 | − | 6.79117i | −0.741422 | − | 0.307107i | ||||
\(490\) | −9.75438 | + | 9.41231i | −0.440658 | + | 0.425205i | ||||
\(491\) | −26.4590 | −1.19408 | −0.597039 | − | 0.802212i | \(-0.703656\pi\) | ||||
−0.597039 | + | 0.802212i | \(0.703656\pi\) | |||||||
\(492\) | −12.8714 | + | 3.95338i | −0.580288 | + | 0.178232i | ||||
\(493\) | −12.9462 | −0.583067 | ||||||||
\(494\) | 8.31261 | − | 8.02111i | 0.374002 | − | 0.360887i | ||||
\(495\) | 13.4456 | + | 5.56933i | 0.604333 | + | 0.250323i | ||||
\(496\) | −2.37002 | − | 9.56945i | −0.106417 | − | 0.429681i | ||||
\(497\) | −0.432022 | + | 0.220126i | −0.0193789 | + | 0.00987402i | ||||
\(498\) | 0.941029 | − | 0.370256i | 0.0421685 | − | 0.0165915i | ||||
\(499\) | 18.1680 | + | 29.6475i | 0.813311 | + | 1.32720i | 0.942032 | + | 0.335522i | \(0.108913\pi\) |
−0.128722 | + | 0.991681i | \(0.541087\pi\) | |||||||
\(500\) | 21.8466 | + | 4.26431i | 0.977010 | + | 0.190706i | ||||
\(501\) | 17.9125 | + | 17.9125i | 0.800271 | + | 0.800271i | ||||
\(502\) | −13.7088 | + | 39.7627i | −0.611854 | + | 1.77470i | ||||
\(503\) | 24.4250 | + | 1.92229i | 1.08906 | + | 0.0857105i | 0.610249 | − | 0.792210i | \(-0.291070\pi\) |
0.478806 | + | 0.877920i | \(0.341070\pi\) | |||||||
\(504\) | 0.174638 | + | 0.322545i | 0.00777897 | + | 0.0143673i | ||||
\(505\) | 0.209278 | + | 0.871708i | 0.00931277 | + | 0.0387905i | ||||
\(506\) | 1.36346 | + | 0.353186i | 0.0606134 | + | 0.0157010i | ||||
\(507\) | −7.08326 | + | 0.557464i | −0.314578 | + | 0.0247579i | ||||
\(508\) | 5.40201 | + | 1.97096i | 0.239676 | + | 0.0874474i | ||||
\(509\) | −0.485717 | + | 0.414841i | −0.0215290 | + | 0.0183875i | −0.660147 | − | 0.751136i | \(-0.729506\pi\) |
0.638618 | + | 0.769524i | \(0.279506\pi\) | |||||||
\(510\) | −4.47178 | − | 0.0798069i | −0.198014 | − | 0.00353391i | ||||
\(511\) | 0.216521 | + | 0.0519821i | 0.00957833 | + | 0.00229955i | ||||
\(512\) | 13.2355 | + | 18.3527i | 0.584930 | + | 0.811084i | ||||
\(513\) | −1.47937 | − | 9.34039i | −0.0653159 | − | 0.412388i | ||||
\(514\) | −6.27369 | + | 5.16751i | −0.276721 | + | 0.227929i | ||||
\(515\) | −6.49716 | + | 4.72047i | −0.286299 | + | 0.208009i | ||||
\(516\) | 13.3800 | − | 20.1806i | 0.589022 | − | 0.888402i | ||||
\(517\) | 17.0867 | − | 23.5178i | 0.751470 | − | 1.03431i | ||||
\(518\) | −0.419438 | − | 0.267442i | −0.0184290 | − | 0.0117507i | ||||
\(519\) | −8.06708 | − | 19.4756i | −0.354105 | − | 0.854886i | ||||
\(520\) | −17.0762 | − | 2.26854i | −0.748843 | − | 0.0994822i | ||||
\(521\) | −24.3733 | − | 20.8167i | −1.06781 | − | 0.911998i | −0.0714692 | − | 0.997443i | \(-0.522769\pi\) |
−0.996343 | + | 0.0854452i | \(0.972769\pi\) | |||||||
\(522\) | −10.4745 | + | 11.8299i | −0.458455 | + | 0.517781i | ||||
\(523\) | 1.61586 | + | 4.97311i | 0.0706567 | + | 0.217459i | 0.980149 | − | 0.198261i | \(-0.0635295\pi\) |
−0.909492 | + | 0.415720i | \(0.863529\pi\) | |||||||
\(524\) | −1.66024 | + | 2.98963i | −0.0725280 | + | 0.130603i | ||||
\(525\) | −0.200241 | − | 0.102028i | −0.00873925 | − | 0.00445287i | ||||
\(526\) | −1.04924 | + | 10.8522i | −0.0457491 | + | 0.473180i | ||||
\(527\) | 4.61312 | + | 2.82693i | 0.200951 | + | 0.123143i | ||||
\(528\) | −20.1924 | − | 12.1759i | −0.878760 | − | 0.529887i | ||||
\(529\) | −7.09764 | + | 21.8443i | −0.308593 | + | 0.949752i | ||||
\(530\) | −6.47804 | + | 3.81244i | −0.281388 | + | 0.165602i | ||||
\(531\) | 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 | ||||
\(536\) | −12.4214 | − | 11.8152i | −0.536521 | − | 0.510339i | ||||
\(537\) | −15.7804 | − | 5.12737i | −0.680976 | − | 0.221263i | ||||
\(538\) | −5.10896 | + | 28.9082i | −0.220263 | + | 1.24632i | ||||
\(539\) | 20.4919 | − | 33.4398i | 0.882651 | − | 1.44035i | ||||
\(540\) | −9.53568 | + | 10.3900i | −0.410350 | + | 0.447115i | ||||
\(541\) | 13.1523 | − | 25.8128i | 0.565461 | − | 1.10978i | −0.414399 | − | 0.910095i | \(-0.636008\pi\) |
0.979860 | − | 0.199685i | \(-0.0639919\pi\) | |||||||
\(542\) | 3.99572 | + | 28.5121i | 0.171631 | + | 1.22470i | ||||
\(543\) | 21.1357 | − | 6.86741i | 0.907020 | − | 0.294709i | ||||
\(544\) | −12.2436 | − | 2.07353i | −0.524941 | − | 0.0889020i | ||||
\(545\) | 16.4542 | − | 19.2653i | 0.704819 | − | 0.825237i | ||||
\(546\) | 0.414824 | + | 0.180564i | 0.0177528 | + | 0.00772741i | ||||
\(547\) | 11.9473 | − | 4.94872i | 0.510828 | − | 0.211592i | −0.112355 | − | 0.993668i | \(-0.535839\pi\) |
0.623183 | + | 0.782076i | \(0.285839\pi\) | |||||||
\(548\) | 29.1015 | − | 10.8546i | 1.24315 | − | 0.463687i | ||||
\(549\) | 20.0285 | + | 14.5516i | 0.854795 | + | 0.621045i | ||||
\(550\) | −24.7127 | + | 1.50178i | −1.05376 | + | 0.0640362i | ||||
\(551\) | −6.37004 | − | 8.76761i | −0.271373 | − | 0.373513i | ||||
\(552\) | −0.299733 | + | 0.435019i | −0.0127575 | + | 0.0185156i | ||||
\(553\) | −0.753158 | + | 0.119289i | −0.0320276 | + | 0.00507267i | ||||
\(554\) | −10.5891 | − | 5.63564i | −0.449888 | − | 0.239436i | ||||
\(555\) | 1.72822 | − | 7.19855i | 0.0733588 | − | 0.305562i | ||||
\(556\) | 21.9503 | + | 17.1772i | 0.930901 | + | 0.728474i | ||||
\(557\) | 19.7679 | + | 23.1452i | 0.837593 | + | 0.980695i | 0.999982 | − | 0.00603194i | \(-0.00192004\pi\) |
−0.162389 | + | 0.986727i | \(0.551920\pi\) | |||||||
\(558\) | 6.31554 | − | 1.92815i | 0.267358 | − | 0.0816252i | ||||
\(559\) | 4.01563 | + | 51.0234i | 0.169843 | + | 2.15806i | ||||
\(560\) | 0.305082 | + | 0.218334i | 0.0128921 | + | 0.00922632i | ||||
\(561\) | 12.5828 | − | 3.02087i | 0.531247 | − | 0.127541i | ||||
\(562\) | 29.0514 | − | 6.42861i | 1.22546 | − | 0.271175i | ||||
\(563\) | 1.46105 | − | 18.5644i | 0.0615760 | − | 0.782397i | −0.886168 | − | 0.463365i | \(-0.846642\pi\) |
0.947744 | − | 0.319033i | \(-0.103358\pi\) | |||||||
\(564\) | 6.08996 | + | 9.04401i | 0.256434 | + | 0.380822i | ||||
\(565\) | −9.26059 | + | 9.26059i | −0.389596 | + | 0.389596i | ||||
\(566\) | −15.1496 | − | 31.0921i | −0.636783 | − | 1.30690i | ||||
\(567\) | −0.0159100 | + | 0.00974967i | −0.000668158 | + | 0.000409447i | ||||
\(568\) | −12.1780 | − | 15.9093i | −0.510976 | − | 0.667539i | ||||
\(569\) | −0.560019 | − | 1.09910i | −0.0234772 | − | 0.0460766i | 0.878970 | − | 0.476877i | \(-0.158231\pi\) |
−0.902447 | + | 0.430800i | \(0.858231\pi\) | |||||||
\(570\) | −2.14625 | − | 3.06771i | −0.0898963 | − | 0.128492i | ||||
\(571\) | −8.52405 | + | 20.5789i | −0.356720 | + | 0.861199i | 0.639037 | + | 0.769176i | \(0.279333\pi\) |
−0.995757 | + | 0.0920228i | \(0.970667\pi\) | |||||||
\(572\) | 49.4744 | − | 6.03536i | 2.06863 | − | 0.252351i | ||||
\(573\) | 12.4313i | 0.519325i | ||||||||
\(574\) | −0.551813 | + | 0.282334i | −0.0230322 | + | 0.0117844i | ||||
\(575\) | 0.554697i | 0.0231325i | ||||||||
\(576\) | −11.8008 | + | 9.51026i | −0.491699 | + | 0.396261i | ||||
\(577\) | 7.91495 | − | 19.1084i | 0.329504 | − | 0.795492i | −0.669126 | − | 0.743149i | \(-0.733331\pi\) |
0.998629 | − | 0.0523427i | \(-0.0166688\pi\) | |||||||
\(578\) | −14.1151 | + | 9.87526i | −0.587111 | + | 0.410757i | ||||
\(579\) | 0.488169 | + | 0.958086i | 0.0202876 | + | 0.0398167i | ||||
\(580\) | −4.33111 | + | 15.5701i | −0.179840 | + | 0.646514i | ||||
\(581\) | 0.0396923 | − | 0.0243234i | 0.00164671 | − | 0.00100911i | ||||
\(582\) | −7.00322 | + | 3.41230i | −0.290293 | + | 0.141444i | ||||
\(583\) | 15.3782 | − | 15.3782i | 0.636899 | − | 0.636899i | ||||
\(584\) | −0.492340 | + | 9.18786i | −0.0203732 | + | 0.380196i | ||||
\(585\) | 0.905281 | − | 11.5027i | 0.0374287 | − | 0.475577i | ||||
\(586\) | 0.597684 | + | 2.70098i | 0.0246901 | + | 0.111577i | ||||
\(587\) | −21.7466 | + | 5.22089i | −0.897577 | + | 0.215489i | −0.655882 | − | 0.754863i | \(-0.727703\pi\) |
−0.241694 | + | 0.970352i | \(0.577703\pi\) | |||||||
\(588\) | 9.14827 | + | 11.5195i | 0.377268 | + | 0.475055i | ||||
\(589\) | 0.355348 | + | 4.51513i | 0.0146419 | + | 0.186043i | ||||
\(590\) | −1.98913 | − | 6.51527i | −0.0818911 | − | 0.268229i | ||||
\(591\) | −1.04039 | − | 1.21814i | −0.0427958 | − | 0.0501074i | ||||
\(592\) | 7.72983 | − | 19.0460i | 0.317694 | − | 0.782788i | ||||
\(593\) | −8.89029 | + | 37.0307i | −0.365081 | + | 1.52067i | 0.423590 | + | 0.905854i | \(0.360770\pi\) |
−0.788670 | + | 0.614816i | \(0.789230\pi\) | |||||||
\(594\) | 19.1700 | − | 36.0196i | 0.786556 | − | 1.47790i | ||||
\(595\) | −0.203353 | + | 0.0322080i | −0.00833668 | + | 0.00132040i | ||||
\(596\) | 1.19601 | + | 27.8945i | 0.0489906 | + | 1.14260i | ||||
\(597\) | 15.3068 | + | 21.0680i | 0.626466 | + | 0.862256i | ||||
\(598\) | −0.0677343 | − | 1.11461i | −0.00276986 | − | 0.0455797i | ||||
\(599\) | −4.88150 | − | 3.54661i | −0.199453 | − | 0.144911i | 0.483576 | − | 0.875302i | \(-0.339338\pi\) |
−0.683029 | + | 0.730392i | \(0.739338\pi\) | |||||||
\(600\) | 2.64790 | − | 8.90074i | 0.108100 | − | 0.363371i | ||||
\(601\) | 9.41752 | − | 3.90086i | 0.384149 | − | 0.159120i | −0.182248 | − | 0.983253i | \(-0.558337\pi\) |
0.566396 | + | 0.824133i | \(0.308337\pi\) | |||||||
\(602\) | 0.444863 | − | 1.02202i | 0.0181312 | − | 0.0416544i | ||||
\(603\) | 7.45736 | − | 8.73144i | 0.303687 | − | 0.355572i | ||||
\(604\) | 25.1001 | − | 5.08621i | 1.02131 | − | 0.206955i | ||||
\(605\) | −26.6263 | + | 8.65142i | −1.08251 | + | 0.351730i | ||||
\(606\) | 0.963457 | − | 0.135020i | 0.0391377 | − | 0.00548482i | ||||
\(607\) | 14.7574 | − | 28.9631i | 0.598985 | − | 1.17557i | −0.370134 | − | 0.928979i | \(-0.620688\pi\) |
0.969118 | − | 0.246596i | \(-0.0793119\pi\) | |||||||
\(608\) | −4.62008 | − | 9.31206i | −0.187369 | − | 0.377654i | ||||
\(609\) | 0.221773 | − | 0.361901i | 0.00898671 | − | 0.0146650i | ||||
\(610\) | 24.9352 | + | 4.40681i | 1.00960 | + | 0.178427i | ||||
\(611\) | −21.9190 | − | 7.12192i | −0.886749 | − | 0.288122i | ||||
\(612\) | 0.948053 | − | 8.26341i | 0.0383228 | − | 0.334029i | ||||
\(613\) | −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 | \(-0.0885359\pi\) | |||||||
\(618\) | 4.42041 | + | 7.51109i | 0.177815 | + | 0.302140i | ||||
\(619\) | 0.912568 | − | 2.80860i | 0.0366792 | − | 0.112887i | −0.931041 | − | 0.364916i | \(-0.881098\pi\) |
0.967720 | + | 0.252029i | \(0.0810978\pi\) | |||||||
\(620\) | 4.94319 | − | 4.60237i | 0.198523 | − | 0.184835i | ||||
\(621\) | −0.779461 | − | 0.477654i | −0.0312787 | − | 0.0191676i | ||||
\(622\) | −32.0941 | − | 3.10300i | −1.28686 | − | 0.124419i | ||||
\(623\) | −0.269443 | − | 0.137288i | −0.0107950 | − | 0.00550033i | ||||
\(624\) | −4.23381 | + | 18.2085i | −0.169488 | + | 0.728923i | ||||
\(625\) | −0.112350 | − | 0.345777i | −0.00449399 | − | 0.0138311i | ||||
\(626\) | −3.31794 | − | 2.93778i | −0.132612 | − | 0.117417i | ||||
\(627\) | 8.23708 | + | 7.03513i | 0.328957 | + | 0.280956i | ||||
\(628\) | 1.99624 | − | 1.12735i | 0.0796586 | − | 0.0449864i | ||||
\(629\) | 4.31687 | + | 10.4219i | 0.172125 | + | 0.415547i | ||||
\(630\) | −0.135098 | + | 0.211878i | −0.00538242 | + | 0.00844142i | ||||
\(631\) | −14.7308 | + | 20.2751i | −0.586422 | + | 0.807141i | −0.994381 | − | 0.105859i | \(-0.966241\pi\) |
0.407959 | + | 0.913000i | \(0.366241\pi\) | |||||||
\(632\) | −10.4830 | − | 29.7140i | −0.416992 | − | 1.18196i | ||||
\(633\) | −9.06050 | + | 6.58284i | −0.360122 | + | 0.261644i | ||||
\(634\) | −12.2680 | − | 14.8941i | −0.487223 | − | 0.591521i | ||||
\(635\) | 0.616276 | + | 3.89101i | 0.0244562 | + | 0.154410i | ||||
\(636\) | 3.44158 | + | 7.39560i | 0.136467 | + | 0.293255i | ||||
\(637\) | −30.2347 | − | 7.25872i | −1.19794 | − | 0.287601i | ||||
\(638\) | 0.834380 | − | 46.7524i | 0.0330334 | − | 1.85094i | ||||
\(639\) | 10.2044 | − | 8.71538i | 0.403680 | − | 0.344775i | ||||
\(640\) | −6.58986 | + | 14.0315i | −0.260487 | + | 0.554642i | ||||
\(641\) | −4.96812 | + | 0.390999i | −0.196229 | + | 0.0154435i | −0.176193 | − | 0.984356i | \(-0.556378\pi\) |
−0.0200362 | + | 0.999799i | \(0.506378\pi\) | |||||||
\(642\) | −6.13732 | + | 23.6930i | −0.242221 | + | 0.935087i | ||||
\(643\) | 1.50972 | + | 6.28845i | 0.0595376 | + | 0.247992i | 0.994200 | − | 0.107543i | \(-0.0342985\pi\) |
−0.934663 | + | 0.355536i | \(0.884298\pi\) | |||||||
\(644\) | −0.0101023 | + | 0.0221215i | −0.000398086 | + | 0.000871711i | ||||
\(645\) | 16.5372 | + | 1.30150i | 0.651151 | + | 0.0512467i | ||||
\(646\) | 5.39335 | + | 1.85944i | 0.212199 | + | 0.0731588i | ||||
\(647\) | −9.38530 | − | 9.38530i | −0.368974 | − | 0.368974i | 0.498129 | − | 0.867103i | \(-0.334021\pi\) |
−0.867103 | + | 0.498129i | \(0.834021\pi\) | |||||||
\(648\) | −0.515248 | − | 0.573594i | −0.0202408 | − | 0.0225329i | ||||
\(649\) | 10.2983 | + | 16.8053i | 0.404244 | + | 0.659667i | ||||
\(650\) | 7.18690 | + | 18.2660i | 0.281893 | + | 0.716450i | ||||
\(651\) | −0.158049 | + | 0.0805301i | −0.00619443 | + | 0.00315622i | ||||
\(652\) | 1.20450 | − | 33.7348i | 0.0471718 | − | 1.32116i | ||||
\(653\) | 44.8717 | + | 18.5864i | 1.75596 | + | 0.727344i | 0.997101 | + | 0.0760932i | \(0.0242447\pi\) |
0.758863 | + | 0.651251i | \(0.225755\pi\) | |||||||
\(654\) | −19.0916 | − | 19.7854i | −0.746541 | − | 0.773672i | ||||
\(655\) | −2.34280 | −0.0915409 | ||||||||
\(656\) | −15.6022 | − | 20.3118i | −0.609165 | − | 0.793043i | ||||
\(657\) | −6.16290 | −0.240438 | ||||||||
\(658\) | 0.348526 | + | 0.361192i | 0.0135869 | + | 0.0140807i | ||||
\(659\) | −33.3321 | − | 13.8066i | −1.29843 | − | 0.537829i | −0.376946 | − | 0.926235i | \(-0.623026\pi\) |
−0.921488 | + | 0.388406i | \(0.873026\pi\) | |||||||
\(660\) | 0.576411 | − | 16.1437i | 0.0224368 | − | 0.628393i | ||||
\(661\) | −15.1955 | + | 7.74251i | −0.591038 | + | 0.301149i | −0.723812 | − | 0.689998i | \(-0.757612\pi\) |
0.132774 | + | 0.991146i | \(0.457612\pi\) | |||||||
\(662\) | 2.15677 | + | 5.48157i | 0.0838252 | + | 0.213047i | ||||
\(663\) | −5.36053 | − | 8.74759i | −0.208186 | − | 0.339728i | ||||
\(664\) | 1.28544 | + | 1.43100i | 0.0498847 | + | 0.0555336i | ||||
\(665\) | −0.121870 | − | 0.121870i | −0.00472593 | − | 0.00472593i | ||||
\(666\) | 13.0159 | + | 4.48744i | 0.504356 | + | 0.173885i | ||||
\(667\) | −1.04440 | − | 0.0821960i | −0.0404393 | − | 0.00318264i | ||||
\(668\) | −20.0167 | + | 43.8317i | −0.774471 | + | 1.69590i | ||||
\(669\) | −1.73369 | − | 7.22135i | −0.0670285 | − | 0.279194i | ||||
\(670\) | 2.94508 | − | 11.3694i | 0.113779 | − | 0.439239i | ||||
\(671\) | −73.0377 | + | 5.74819i | −2.81959 | + | 0.221906i | ||||
\(672\) | 0.267702 | − | 0.306741i | 0.0103268 | − | 0.0118328i | ||||
\(673\) | −14.7147 | + | 12.5675i | −0.567209 | + | 0.484442i | −0.886192 | − | 0.463318i | \(-0.846659\pi\) |
0.318983 | + | 0.947760i | \(0.396659\pi\) | |||||||
\(674\) | 0.380829 | − | 21.3388i | 0.0146690 | − | 0.821939i | ||||
\(675\) | 15.6255 | + | 3.75136i | 0.601428 | + | 0.144390i | ||||
\(676\) | −5.70219 | − | 12.2534i | −0.219315 | − | 0.471286i | ||||
\(677\) | 5.62895 | + | 35.5398i | 0.216338 | + | 1.36591i | 0.821684 | + | 0.569943i | \(0.193035\pi\) |
−0.605346 | + | 0.795963i | \(0.706965\pi\) | |||||||
\(678\) | 9.03595 | + | 10.9702i | 0.347024 | + | 0.421309i | ||||
\(679\) | −0.290131 | + | 0.210792i | −0.0111342 | + | 0.00808947i | ||||
\(680\) | −2.83042 | − | 8.02281i | −0.108542 | − | 0.307661i | ||||
\(681\) | 16.9087 | − | 23.2729i | 0.647944 | − | 0.891818i | ||||
\(682\) | −10.5061 | + | 16.4771i | −0.402301 | + | 0.630940i | ||||
\(683\) | −3.98572 | − | 9.62238i | −0.152509 | − | 0.368190i | 0.829097 | − | 0.559104i | \(-0.188855\pi\) |
−0.981607 | + | 0.190914i | \(0.938855\pi\) | |||||||
\(684\) | 6.06275 | − | 3.42387i | 0.231815 | − | 0.130915i | ||||
\(685\) | 16.1806 | + | 13.8196i | 0.618230 | + | 0.528018i | ||||
\(686\) | 1.01433 | + | 0.898114i | 0.0387274 | + | 0.0342902i | ||||
\(687\) | −4.81392 | − | 14.8157i | −0.183662 | − | 0.565255i | ||||
\(688\) | 44.8610 | + | 10.4310i | 1.71031 | + | 0.397679i | ||||
\(689\) | −15.3630 | − | 7.82786i | −0.585286 | − | 0.298218i | ||||
\(690\) | −0.360242 | − | 0.0348297i | −0.0137142 | − | 0.00132595i | ||||
\(691\) | −13.2337 | − | 8.10964i | −0.503435 | − | 0.308505i | 0.247493 | − | 0.968890i | \(-0.420393\pi\) |
−0.750928 | + | 0.660385i | \(0.770393\pi\) | |||||||
\(692\) | 29.3475 | − | 27.3240i | 1.11562 | − | 1.03870i | ||||
\(693\) | 0.224669 | − | 0.691461i | 0.00853449 | − | 0.0262664i | ||||
\(694\) | −13.4060 | − | 22.7793i | −0.508886 | − | 0.864690i | ||||
\(695\) | −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 | ||||
\(700\) | 0.0487255 | − | 0.424701i | 0.00184165 | − | 0.0160522i | ||||
\(701\) | −32.7750 | − | 10.6492i | −1.23789 | − | 0.402216i | −0.384326 | − | 0.923198i | \(-0.625566\pi\) |
−0.853568 | + | 0.520981i | \(0.825566\pi\) | |||||||
\(702\) | −31.8560 | − | 5.62994i | −1.20233 | − | 0.212489i | ||||
\(703\) | −4.93397 | + | 8.05151i | −0.186088 | + | 0.303668i | ||||
\(704\) | 8.27721 | − | 44.0815i | 0.311959 | − | 1.66138i | ||||
\(705\) | −3.39120 | + | 6.65561i | −0.127720 | + | 0.250665i | ||||
\(706\) | −30.1794 | + | 4.22938i | −1.13582 | + | 0.159175i | ||||
\(707\) | 0.0425935 | − | 0.0138395i | 0.00160189 | − | 0.000520487i | ||||
\(708\) | −7.24540 | + | 1.46818i | −0.272299 | + | 0.0551777i | ||||
\(709\) | 10.5908 | − | 12.4003i | 0.397747 | − | 0.465702i | −0.525003 | − | 0.851100i | \(-0.675936\pi\) |
0.922750 | + | 0.385398i | \(0.125936\pi\) | |||||||
\(710\) | 5.47814 | − | 12.5854i | 0.205591 | − | 0.472321i | ||||
\(711\) | 19.4984 | − | 8.07649i | 0.731246 | − | 0.302892i | ||||
\(712\) | 3.56299 | − | 11.9768i | 0.133529 | − | 0.448848i | ||||
\(713\) | 0.354203 | + | 0.257343i | 0.0132650 | + | 0.00963759i | ||||
\(714\) | 0.0135529 | + | 0.223022i | 0.000507206 | + | 0.00834638i | ||||
\(715\) | 20.0704 | + | 27.6245i | 0.750590 | + | 1.03310i | ||||
\(716\) | −1.35201 | − | 31.5329i | −0.0505271 | − | 1.17844i | ||||
\(717\) | −16.0114 | + | 2.53596i | −0.597957 | + | 0.0947070i | ||||
\(718\) | 4.17494 | − | 7.84451i | 0.155807 | − | 0.292754i | ||||
\(719\) | 0.144290 | − | 0.601012i | 0.00538112 | − | 0.0224140i | −0.969615 | − | 0.244637i | \(-0.921331\pi\) |
0.974996 | + | 0.222223i | \(0.0713313\pi\) | |||||||
\(720\) | −9.62106 | − | 3.90470i | −0.358556 | − | 0.145520i | ||||
\(721\) | 0.260561 | + | 0.305077i | 0.00970378 | + | 0.0113617i | ||||
\(722\) | −6.45152 | − | 21.1316i | −0.240101 | − | 0.786435i | ||||
\(723\) | 1.99374 | + | 25.3328i | 0.0741479 | + | 0.942138i | ||||
\(724\) | 26.2895 | + | 33.1036i | 0.977041 | + | 1.23029i | ||||
\(725\) | 17.9066 | − | 4.29900i | 0.665036 | − | 0.159661i | ||||
\(726\) | 6.56432 | + | 29.6647i | 0.243625 | + | 1.10096i | ||||
\(727\) | −1.65936 | + | 21.0841i | −0.0615421 | + | 0.781967i | 0.886276 | + | 0.463157i | \(0.153283\pi\) |
−0.947819 | + | 0.318810i | \(0.896717\pi\) | |||||||
\(728\) | −0.0460487 | + | 0.859343i | −0.00170668 | + | 0.0318494i | ||||
\(729\) | −11.1130 | + | 11.1130i | −0.411594 | + | 0.411594i | ||||
\(730\) | −5.66668 | + | 2.76108i | −0.209733 | + | 0.102192i | ||||
\(731\) | −21.5518 | + | 13.2070i | −0.797123 | + | 0.488478i | ||||
\(732\) | 7.36429 | − | 26.4742i | 0.272192 | − | 0.978516i | ||||
\(733\) | −18.7148 | − | 36.7299i | −0.691247 | − | 1.35665i | −0.923350 | − | 0.383958i | \(-0.874561\pi\) |
0.232103 | − | 0.972691i | \(-0.425439\pi\) | |||||||
\(734\) | 14.0503 | − | 9.82996i | 0.518608 | − | 0.362830i | ||||
\(735\) | −3.85661 | + | 9.31069i | −0.142253 | + | 0.343430i | ||||
\(736\) | −0.974556 | − | 0.245012i | −0.0359226 | − | 0.00903126i | ||||
\(737\) | 33.9811i | 1.25171i | ||||||||
\(738\) | 13.0263 | − | 11.1635i | 0.479504 | − | 0.410933i | ||||
\(739\) | − | 18.7634i | − | 0.690223i | −0.938562 | − | 0.345112i | \(-0.887841\pi\) | ||
0.938562 | − | 0.345112i | \(-0.112159\pi\) | |||||||
\(740\) | 13.9783 | − | 1.70521i | 0.513854 | − | 0.0626849i | ||||
\(741\) | 3.28658 | − | 7.93450i | 0.120735 | − | 0.291481i | ||||
\(742\) | 0.215263 | + | 0.307684i | 0.00790256 | + | 0.0112954i | ||||
\(743\) | −4.99909 | − | 9.81127i | −0.183399 | − | 0.359940i | 0.780942 | − | 0.624603i | \(-0.214739\pi\) |
−0.964341 | + | 0.264663i | \(0.914739\pi\) | |||||||
\(744\) | −4.45513 | − | 5.82018i | −0.163333 | − | 0.213378i | ||||
\(745\) | −16.3092 | + | 9.99429i | −0.597523 | + | 0.366162i | ||||
\(746\) | 18.6226 | + | 38.2199i | 0.681821 | + | 1.39933i | ||||
\(747\) | −0.911049 | + | 0.911049i | −0.0333335 | + | 0.0333335i | ||||
\(748\) | 13.7484 | + | 20.4174i | 0.502692 | + | 0.746533i | ||||
\(749\) | −0.0883989 | + | 1.12321i | −0.00323003 | + | 0.0410414i | ||||
\(750\) | 16.1580 | − | 3.57551i | 0.590008 | − | 0.130559i | ||||
\(751\) | 1.20365 | − | 0.288970i | 0.0439217 | − | 0.0105447i | −0.211425 | − | 0.977394i | \(-0.567810\pi\) |
0.255347 | + | 0.966850i | \(0.417810\pi\) | |||||||
\(752\) | −12.0702 | + | 16.8658i | −0.440154 | + | 0.615033i | ||||
\(753\) | 2.45342 | + | 31.1737i | 0.0894078 | + | 1.13603i | ||||
\(754\) | −35.4566 | + | 10.8250i | −1.29125 | + | 0.394223i | ||||
\(755\) | 11.3948 | + | 13.3416i | 0.414700 | + | 0.485551i | ||||
\(756\) | 0.554832 | + | 0.434182i | 0.0201790 | + | 0.0157911i | ||||
\(757\) | 6.16059 | − | 25.6607i | 0.223910 | − | 0.932654i | −0.741299 | − | 0.671175i | \(-0.765790\pi\) |
0.965209 | − | 0.261479i | \(-0.0842102\pi\) | |||||||
\(758\) | 28.2902 | + | 15.0564i | 1.02755 | + | 0.546873i | ||||
\(759\) | 1.03426 | − | 0.163811i | 0.0375414 | − | 0.00594598i | ||||
\(760\) | 4.04064 | − | 5.86440i | 0.146569 | − | 0.212724i | ||||
\(761\) | −21.2030 | − | 29.1834i | −0.768606 | − | 1.05790i | −0.996449 | − | 0.0841979i | \(-0.973167\pi\) |
0.227843 | − | 0.973698i | \(-0.426833\pi\) | |||||||
\(762\) | 4.26735 | − | 0.259325i | 0.154590 | − | 0.00939436i | ||||
\(763\) | −1.02397 | − | 0.743957i | −0.0370702 | − | 0.0269331i | ||||
\(764\) | −22.1555 | + | 8.26382i | −0.801556 | + | 0.298974i | ||||
\(765\) | 5.26458 | − | 2.18066i | 0.190341 | − | 0.0788419i | ||||
\(766\) | −19.7272 | − | 8.58682i | −0.712773 | − | 0.310254i | ||||
\(767\) | 10.1485 | − | 11.8824i | 0.366441 | − | 0.429047i | ||||
\(768\) | 14.4683 | + | 8.58362i | 0.522078 | + | 0.309735i | ||||
\(769\) | 15.3282 | − | 4.98042i | 0.552748 | − | 0.179599i | −0.0193077 | − | 0.999814i | \(-0.506146\pi\) |
0.572055 | + | 0.820215i | \(0.306146\pi\) | |||||||
\(770\) | −0.103206 | − | 0.736442i | −0.00371929 | − | 0.0265395i | ||||
\(771\) | −2.74340 | + | 5.38422i | −0.0988011 | + | 0.193908i | ||||
\(772\) | −1.38302 | + | 1.50693i | −0.0497759 | + | 0.0542355i | ||||
\(773\) | 21.3303 | − | 34.8079i | 0.767198 | − | 1.25195i | −0.195321 | − | 0.980739i | \(-0.562575\pi\) |
0.962519 | − | 0.271214i | \(-0.0874252\pi\) | |||||||
\(774\) | −5.36890 | + | 30.3790i | −0.192981 | + | 1.09195i | ||||
\(775\) | −7.31941 | − | 2.37822i | −0.262921 | − | 0.0854282i | ||||
\(776\) | −10.7370 | − | 10.2130i | −0.385435 | − | 0.366625i | ||||
\(777\) | −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 | ||||
\(782\) | 0.475282 | − | 0.279712i | 0.0169960 | − | 0.0100025i | ||||
\(783\) | −9.37859 | + | 28.8643i | −0.335163 | + | 1.03153i | ||||
\(784\) | −14.4490 | + | 23.9620i | −0.516034 | + | 0.855786i | ||||
\(785\) | 1.33918 | + | 0.820649i | 0.0477973 | + | 0.0292902i | ||||
\(786\) | −0.244674 | + | 2.53065i | −0.00872723 | + | 0.0902652i | ||||
\(787\) | −10.2361 | − | 5.21556i | −0.364878 | − | 0.185915i | 0.261933 | − | 0.965086i | \(-0.415640\pi\) |
−0.626811 | + | 0.779171i | \(0.715640\pi\) | |||||||
\(788\) | 1.47940 | − | 2.66398i | 0.0527013 | − | 0.0949003i | ||||
\(789\) | 2.50488 | + | 7.70923i | 0.0891761 | + | 0.274456i | ||||
\(790\) | 14.3100 | − | 16.1618i | 0.509127 | − | 0.575010i | ||||
\(791\) | 0.497505 | + | 0.424909i | 0.0176892 | + | 0.0151080i | ||||
\(792\) | 29.7804 | + | 3.95626i | 1.05820 | + | 0.140580i | ||||
\(793\) | 22.2282 | + | 53.6636i | 0.789346 | + | 1.90565i | ||||
\(794\) | 19.0560 | + | 12.1505i | 0.676273 | + | 0.431206i | ||||
\(795\) | −3.28479 | + | 4.52112i | −0.116499 | + | 0.160348i | ||||
\(796\) | −27.3728 | + | 41.2854i | −0.970202 | + | 1.46332i | ||||
\(797\) | 12.9924 | − | 9.43952i | 0.460214 | − | 0.334365i | −0.333401 | − | 0.942785i | \(-0.608196\pi\) |
0.793615 | + | 0.608420i | \(0.208196\pi\) | |||||||
\(798\) | −0.144369 | + | 0.118914i | −0.00511062 | + | 0.00420951i | ||||
\(799\) | −1.78055 | − | 11.2420i | −0.0629915 | − | 0.397713i | ||||
\(800\) | 17.6234 | − | 1.19768i | 0.623082 | − | 0.0423443i | ||||
\(801\) | 8.13831 | + | 1.95384i | 0.287553 | + | 0.0690354i | ||||
\(802\) | −9.74516 | − | 0.173920i | −0.344113 | − | 0.00614132i | ||||
\(803\) | 13.8685 | − | 11.8448i | 0.489407 | − | 0.417993i | ||||
\(804\) | −11.9734 | − | 4.36860i | −0.422271 | − | 0.154069i | ||||
\(805\) | −0.0166095 | + | 0.00130719i | −0.000585407 | + | 4.60725e-5i | ||||
\(806\) | 14.9980 | + | 3.88502i | 0.528282 | + | 0.136844i | ||||
\(807\) | 5.09506 | + | 21.2225i | 0.179355 | + | 0.747066i | ||||
\(808\) | 0.881104 | + | 1.62735i | 0.0309971 | + | 0.0572499i | ||||
\(809\) | 13.0727 | + | 1.02884i | 0.459612 | + | 0.0361722i | 0.306152 | − | 0.951983i | \(-0.400958\pi\) |
0.153460 | + | 0.988155i | \(0.450958\pi\) | |||||||
\(810\) | 0.172170 | − | 0.499382i | 0.00604943 | − | 0.0175465i | ||||
\(811\) | −11.2889 | − | 11.2889i | −0.396406 | − | 0.396406i | 0.480557 | − | 0.876963i | \(-0.340434\pi\) |
−0.876963 | + | 0.480557i | \(0.840434\pi\) | |||||||
\(812\) | 0.792418 | + | 0.154675i | 0.0278084 | + | 0.00542802i | ||||
\(813\) | 11.1841 | + | 18.2509i | 0.392245 | + | 0.640085i | ||||
\(814\) | −37.9145 | + | 14.9178i | −1.32890 | + | 0.522867i | ||||
\(815\) | 20.6056 | − | 10.4991i | 0.721781 | − | 0.367766i | ||||
\(816\) | −8.96167 | + | 2.21949i | −0.313721 | + | 0.0776977i | ||||
\(817\) | −19.5486 | − | 8.09729i | −0.683918 | − | 0.283288i | ||||
\(818\) | −13.1924 | + | 12.7297i | −0.461260 | + | 0.445085i | ||||
\(819\) | −0.576419 | −0.0201417 | ||||||||
\(820\) | 6.97602 | − | 16.1006i | 0.243613 | − | 0.562258i | ||||
\(821\) | 16.1262 | 0.562807 | 0.281403 | − | 0.959590i | \(-0.409200\pi\) | ||||
0.281403 | + | 0.959590i | \(0.409200\pi\) | |||||||
\(822\) | 16.6174 | − | 16.0347i | 0.579600 | − | 0.559274i | ||||
\(823\) | 30.7933 | + | 12.7550i | 1.07339 | + | 0.444612i | 0.848185 | − | 0.529700i | \(-0.177695\pi\) |
0.225203 | + | 0.974312i | \(0.427695\pi\) | |||||||
\(824\) | −10.4480 | + | 12.8713i | −0.363973 | + | 0.448392i | ||||
\(825\) | −16.4009 | + | 8.35667i | −0.571006 | + | 0.290942i | ||||
\(826\) | −0.316685 | + | 0.124602i | −0.0110189 | + | 0.00433547i | ||||
\(827\) | −3.86851 | − | 6.31283i | −0.134521 | − | 0.219519i | 0.778285 | − | 0.627911i | \(-0.216090\pi\) |
−0.912807 | + | 0.408392i | \(0.866090\pi\) | |||||||
\(828\) | 0.128946 | − | 0.660609i | 0.00448120 | − | 0.0229577i | ||||
\(829\) | −25.1001 | − | 25.1001i | −0.871761 | − | 0.871761i | 0.120903 | − | 0.992664i | \(-0.461421\pi\) |
−0.992664 | + | 0.120903i | \(0.961421\pi\) | |||||||
\(830\) | −0.429529 | + | 1.24586i | −0.0149092 | + | 0.0432443i | ||||
\(831\) | −8.89076 | − | 0.699718i | −0.308417 | − | 0.0242729i | ||||
\(832\) | −35.2662 | + | 4.55861i | −1.22264 | + | 0.158041i | ||||
\(833\) | −3.58482 | − | 14.9319i | −0.124207 | − | 0.517359i | ||||
\(834\) | 20.0603 | + | 5.19633i | 0.694631 | + | 0.179934i | ||||
\(835\) | −32.9101 | + | 2.59008i | −1.13890 | + | 0.0896334i | ||||
\(836\) | −7.06257 | + | 19.3571i | −0.244264 | + | 0.669478i | ||||
\(837\) | 9.64467 | − | 8.23733i | 0.333369 | − | 0.284724i | ||||
\(838\) | −5.05747 | − | 0.0902596i | −0.174707 | − | 0.00311797i | ||||
\(839\) | −3.81235 | − | 0.915263i | −0.131617 | − | 0.0315984i | 0.167102 | − | 0.985940i | \(-0.446559\pi\) |
−0.298719 | + | 0.954341i | \(0.596559\pi\) | |||||||
\(840\) | 0.272758 | + | 0.0583114i | 0.00941103 | + | 0.00201194i | ||||
\(841\) | 0.904245 | + | 5.70918i | 0.0311809 | + | 0.196868i | ||||
\(842\) | −3.66022 | + | 3.01484i | −0.126139 | + | 0.103898i | ||||
\(843\) | 17.8966 | − | 13.0027i | 0.616393 | − | 0.447835i | ||||
\(844\) | −17.7552 | − | 11.7719i | −0.611159 | − | 0.405206i | ||||
\(845\) | 5.44241 | − | 7.49083i | 0.187225 | − | 0.257693i | ||||
\(846\) | −11.7132 | − | 7.46861i | −0.402709 | − | 0.256776i | ||||
\(847\) | 0.535233 | + | 1.29217i | 0.0183908 | + | 0.0443993i | ||||
\(848\) | −10.8929 | + | 11.0500i | −0.374063 | + | 0.379458i | ||||
\(849\) | −19.5532 | − | 16.7000i | −0.671064 | − | 0.573142i | ||||
\(850\) | −6.42633 | + | 7.25791i | −0.220421 | + | 0.248944i | ||||
\(851\) | 0.282083 | + | 0.868163i | 0.00966969 | + | 0.0297602i | ||||
\(852\) | −13.0223 | − | 7.23174i | −0.446138 | − | 0.247755i | ||||
\(853\) | 4.73836 | + | 2.41432i | 0.162238 | + | 0.0826646i | 0.533224 | − | 0.845974i | \(-0.320980\pi\) |
−0.370986 | + | 0.928639i | \(0.620980\pi\) | |||||||
\(854\) | 0.121738 | − | 1.25912i | 0.00416577 | − | 0.0430864i | ||||
\(855\) | 4.06720 | + | 2.49238i | 0.139095 | + | 0.0852377i | ||||
\(856\) | −46.3062 | + | 4.81198i | −1.58271 | + | 0.164470i | ||||
\(857\) | 8.27594 | − | 25.4707i | 0.282701 | − | 0.870064i | −0.704378 | − | 0.709826i | \(-0.748774\pi\) |
0.987078 | − | 0.160238i | \(-0.0512262\pi\) | |||||||
\(858\) | 31.9355 | − | 18.7946i | 1.09026 | − | 0.641637i | ||||
\(859\) | −7.94743 | + | 50.1781i | −0.271163 | + | 1.71205i | 0.357111 | + | 0.934062i | \(0.383762\pi\) |
−0.628274 | + | 0.777992i | \(0.716238\pi\) | |||||||
\(860\) | 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 | 0.490149 | − | 0.871639i | \(-0.336942\pi\) |
0.196809 | + | 0.980442i | \(0.436942\pi\) | |||||||
\(864\) | −13.4927 | + | 25.7958i | −0.459030 | + | 0.877590i | ||||
\(865\) | 26.1265 | + | 8.48902i | 0.888329 | + | 0.288635i | ||||
\(866\) | 2.66030 | − | 15.0528i | 0.0904007 | − | 0.511517i | ||||
\(867\) | −6.69192 | + | 10.9202i | −0.227270 | + | 0.370870i | ||||
\(868\) | −0.248588 | − | 0.228147i | −0.00843762 | − | 0.00774382i | ||||
\(869\) | −28.3548 | + | 55.6495i | −0.961871 | + | 1.88778i | ||||
\(870\) | 1.66757 | + | 11.8992i | 0.0565360 | + | 0.403421i | ||||
\(871\) | 25.6224 | − | 8.32524i | 0.868183 | − | 0.282090i | ||||
\(872\) | 22.5709 | − | 47.1782i | 0.764348 | − | 1.59766i | ||||
\(873\) | 6.44610 | − | 7.54742i | 0.218168 | − | 0.255441i | ||||
\(874\) | 0.423288 | + | 0.184248i | 0.0143179 | + | 0.00623228i | ||||
\(875\) | 0.703828 | − | 0.291535i | 0.0237937 | − | 0.00985568i | ||||
\(876\) | 2.39065 | + | 6.40939i | 0.0807727 | + | 0.216553i | ||||
\(877\) | −3.60100 | − | 2.61628i | −0.121597 | − | 0.0883455i | 0.525325 | − | 0.850902i | \(-0.323944\pi\) |
−0.646922 | + | 0.762556i | \(0.723944\pi\) | |||||||
\(878\) | 35.6476 | − | 2.16629i | 1.20305 | − | 0.0731088i | ||||
\(879\) | 1.20889 | + | 1.66389i | 0.0407749 | + | 0.0561218i | ||||
\(880\) | 29.1550 | − | 9.70438i | 0.982816 | − | 0.327135i | ||||
\(881\) | −27.7392 | + | 4.39346i | −0.934559 | + | 0.148020i | −0.605099 | − | 0.796150i | \(-0.706867\pi\) |
−0.329460 | + | 0.944170i | \(0.606867\pi\) | |||||||
\(882\) | −16.5448 | − | 8.80531i | −0.557091 | − | 0.296490i | ||||
\(883\) | −2.17736 | + | 9.06937i | −0.0732741 | + | 0.305209i | −0.996957 | − | 0.0779482i | \(-0.975163\pi\) |
0.923683 | + | 0.383157i | \(0.125163\pi\) | |||||||
\(884\) | 12.0268 | − | 15.3688i | 0.404505 | − | 0.516907i | ||||
\(885\) | −3.28923 | − | 3.85119i | −0.110566 | − | 0.129456i | ||||
\(886\) | −20.0643 | + | 6.12569i | −0.674074 | + | 0.205797i | ||||
\(887\) | −1.51755 | − | 19.2823i | −0.0509543 | − | 0.647435i | −0.968372 | − | 0.249510i | \(-0.919730\pi\) |
0.917418 | − | 0.397925i | \(-0.130270\pi\) | |||||||
\(888\) | −0.382088 | − | 15.2772i | −0.0128220 | − | 0.512669i | ||||
\(889\) | 0.191369 | − | 0.0459437i | 0.00641832 | − | 0.00154090i | ||||
\(890\) | 8.35839 | − | 1.84958i | 0.280174 | − | 0.0619979i | ||||
\(891\) | −0.119912 | + | 1.52362i | −0.00401719 | + | 0.0510433i | ||||
\(892\) | 11.7176 | − | 7.89030i | 0.392336 | − | 0.264187i | ||||
\(893\) | 6.73736 | − | 6.73736i | 0.225457 | − | 0.225457i | ||||
\(894\) | 9.09235 | + | 18.6606i | 0.304094 | + | 0.624105i | ||||
\(895\) | 18.4364 | − | 11.2979i | 0.616263 | − | 0.377646i | ||||
\(896\) | 0.724641 | + | 0.273199i | 0.0242085 | + | 0.00912692i | ||||
\(897\) | −0.376907 | − | 0.739723i | −0.0125846 | − | 0.0246986i | ||||
\(898\) | 4.37929 | + | 6.25949i | 0.146139 | + | 0.208882i | ||||
\(899\) | 5.56238 | − | 13.4288i | 0.185516 | − | 0.447874i | ||||
\(900\) | 1.43270 | + | 11.7444i | 0.0477566 | + | 0.391481i | ||||
\(901\) | − | 8.51539i | − | 0.283689i | ||||||
\(902\) | −7.85757 | + | 50.1572i | −0.261628 | + | 1.67005i | ||||
\(903\) | − | 0.828706i | − | 0.0275776i | ||||||
\(904\) | −13.5448 | + | 23.3967i | −0.450493 | + | 0.778164i | ||||
\(905\) | −11.0828 | + | 26.7562i | −0.368404 | + | 0.889407i | ||||
\(906\) | 15.6014 | − | 10.9151i | 0.518321 | − | 0.362630i | ||||
\(907\) | −20.3219 | − | 39.8840i | −0.674778 | − | 1.32433i | −0.933571 | − | 0.358394i | \(-0.883325\pi\) |
0.258792 | − | 0.965933i | \(-0.416675\pi\) | |||||||
\(908\) | 52.7179 | + | 14.6644i | 1.74950 | + | 0.486656i | ||||
\(909\) | −1.05687 | + | 0.647648i | −0.0350540 | + | 0.0214811i | ||||
\(910\) | −0.530007 | + | 0.258245i | −0.0175696 | + | 0.00856073i | ||||
\(911\) | 35.6542 | − | 35.6542i | 1.18128 | − | 1.18128i | 0.201863 | − | 0.979414i | \(-0.435300\pi\) |
0.979414 | − | 0.201863i | \(-0.0646995\pi\) | |||||||
\(912\) | −5.91261 | − | 4.97707i | −0.195786 | − | 0.164807i | ||||
\(913\) | 0.299156 | − | 3.80113i | 0.00990060 | − | 0.125799i | ||||
\(914\) | −8.40806 | − | 37.9967i | −0.278114 | − | 1.25682i | ||||
\(915\) | 18.3058 | − | 4.39482i | 0.605170 | − | 0.145288i | ||||
\(916\) | 23.2050 | − | 18.4284i | 0.766714 | − | 0.608892i | ||||
\(917\) | 0.00918285 | + | 0.116679i | 0.000303244 | + | 0.00385308i | ||||
\(918\) | −4.66506 | − | 15.2801i | −0.153970 | − | 0.504319i | ||||
\(919\) | 22.0078 | + | 25.7679i | 0.725971 | + | 0.850003i | 0.993534 | − | 0.113537i | \(-0.0362181\pi\) |
−0.267562 | + | 0.963541i | \(0.586218\pi\) | |||||||
\(920\) | −0.177399 | − | 0.665188i | −0.00584868 | − | 0.0219306i | ||||
\(921\) | 7.62954 | − | 31.7793i | 0.251402 | − | 1.04716i | ||||
\(922\) | −18.3549 | + | 34.4880i | −0.604487 | + | 1.13580i | ||||
\(923\) | 31.0982 | − | 4.92547i | 1.02361 | − | 0.162124i | ||||
\(924\) | −0.806268 | + | 0.0345698i | −0.0265243 | + | 0.00113726i | ||||
\(925\) | −9.43167 | − | 12.9816i | −0.310112 | − | 0.426832i | ||||
\(926\) | 1.92617 | + | 31.6964i | 0.0632980 | + | 1.04161i | ||||
\(927\) | −8.98335 | − | 6.52679i | −0.295052 | − | 0.214368i | ||||
\(928\) | −0.356447 | + | 33.3593i | −0.0117010 | + | 1.09507i | ||||
\(929\) | 27.0325 | − | 11.1972i | 0.886909 | − | 0.367370i | 0.107737 | − | 0.994179i | \(-0.465640\pi\) |
0.779172 | + | 0.626810i | \(0.215640\pi\) | |||||||
\(930\) | 2.00410 | − | 4.60418i | 0.0657169 | − | 0.150977i | ||||
\(931\) | 8.34850 | − | 9.77484i | 0.273611 | − | 0.320357i | ||||
\(932\) | −0.605266 | − | 2.98695i | −0.0198261 | − | 0.0978408i | ||||
\(933\) | −22.7991 | + | 7.40787i | −0.746408 | + | 0.242523i | ||||
\(934\) | 43.5519 | − | 6.10343i | 1.42506 | − | 0.199710i | ||||
\(935\) | −7.65582 | + | 15.0254i | −0.250372 | + | 0.491383i | ||||
\(936\) | −4.31298 | − | 23.4243i | −0.140974 | − | 0.765647i | ||||
\(937\) | −4.50047 | + | 7.34410i | −0.147024 | + | 0.239921i | −0.917671 | − | 0.397341i | \(-0.869933\pi\) |
0.770647 | + | 0.637262i | \(0.219933\pi\) | |||||||
\(938\) | −0.577777 | − | 0.102111i | −0.0188651 | − | 0.00333404i | ||||
\(939\) | −3.13354 | − | 1.01815i | −0.102259 | − | 0.0332260i | ||||
\(940\) | −14.1162 | − | 1.61954i | −0.460419 | − | 0.0528234i | ||||
\(941\) | −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 | ||||
\(946\) | −46.3051 | − | 78.6809i | −1.50551 | − | 2.55814i | ||||
\(947\) | −3.33936 | + | 10.2775i | −0.108515 | + | 0.333973i | −0.990539 | − | 0.137230i | \(-0.956180\pi\) |
0.882025 | + | 0.471203i | \(0.156180\pi\) | |||||||
\(948\) | −15.9631 | − | 17.1453i | −0.518458 | − | 0.556852i | ||||
\(949\) | −12.3289 | − | 7.55517i | −0.400214 | − | 0.245251i | ||||
\(950\) | −8.07732 | − | 0.780950i | −0.262063 | − | 0.0253374i | ||||
\(951\) | −12.7825 | − | 6.51299i | −0.414500 | − | 0.211198i | ||||
\(952\) | −0.388467 | + | 0.172410i | −0.0125903 | + | 0.00558785i | ||||
\(953\) | −5.91368 | − | 18.2004i | −0.191563 | − | 0.589570i | −1.00000 | 0.000986649i | \(-0.999686\pi\) | |
0.808437 | − | 0.588583i | \(-0.200314\pi\) | |||||||
\(954\) | −7.78115 | − | 6.88961i | −0.251924 | − | 0.223059i | ||||
\(955\) | −12.3186 | − | 10.5211i | −0.398620 | − | 0.340454i | ||||
\(956\) | −15.1634 | − | 26.8502i | −0.490419 | − | 0.868399i | ||||
\(957\) | −13.3039 | − | 32.1184i | −0.430053 | − | 1.03824i | ||||
\(958\) | 6.06588 | − | 9.51330i | 0.195980 | − | 0.307361i | ||||
\(959\) | 0.624836 | − | 0.860014i | 0.0201770 | − | 0.0277713i | ||||
\(960\) | −0.328765 | + | 11.5205i | −0.0106108 | + | 0.371824i | ||||
\(961\) | 20.1652 | − | 14.6509i | 0.650490 | − | 0.472609i | ||||
\(962\) | 20.5372 | + | 24.9335i | 0.662145 | + | 0.803888i | ||||
\(963\) | −4.87812 | − | 30.7992i | −0.157195 | − | 0.992492i | ||||
\(964\) | −43.8236 | + | 20.3935i | −1.41146 | + | 0.656831i | ||||
\(965\) | −1.36255 | − | 0.327120i | −0.0438622 | − | 0.0105304i | ||||
\(966\) | −0.000322629 | 0.0180777i | −1.03804e−5 | 0.000581641i | ||||||
\(967\) | −21.9010 | + | 18.7052i | −0.704288 | + | 0.601518i | −0.927754 | − | 0.373193i | \(-0.878263\pi\) |
0.223466 | + | 0.974712i | \(0.428263\pi\) | |||||||
\(968\) | −48.5057 | + | 31.4190i | −1.55903 | + | 1.00985i | ||||
\(969\) | 4.22836 | − | 0.332779i | 0.135834 | − | 0.0106904i | ||||
\(970\) | 2.54572 | − | 9.82768i | 0.0817380 | − | 0.315548i | ||||
\(971\) | 3.36638 | + | 14.0220i | 0.108032 | + | 0.449986i | 0.999998 | − | 0.00211696i | \(-0.000673849\pi\) |
−0.891966 | + | 0.452103i | \(0.850674\pi\) | |||||||
\(972\) | −28.6086 | − | 13.0647i | −0.917620 | − | 0.419052i | ||||
\(973\) | 0.951001 | + | 0.0748454i | 0.0304877 | + | 0.00239943i | ||||
\(974\) | −43.1736 | − | 14.8848i | −1.38337 | − | 0.476939i | ||||
\(975\) | 10.3192 | + | 10.3192i | 0.330480 | + | 0.330480i | ||||
\(976\) | 52.0787 | − | 4.47411i | 1.66700 | − | 0.143213i | ||||
\(977\) | 10.3025 | + | 16.8121i | 0.329606 | + | 0.537868i | 0.973920 | − | 0.226893i | \(-0.0728569\pi\) |
−0.644314 | + | 0.764761i | \(0.722857\pi\) | |||||||
\(978\) | −9.18889 | − | 23.3542i | −0.293828 | − | 0.746784i | ||||
\(979\) | −22.0689 | + | 11.2447i | −0.705325 | + | 0.359381i | ||||
\(980\) | −19.1575 | − | 0.684019i | −0.611965 | − | 0.0218502i | ||||
\(981\) | 32.3639 | + | 13.4056i | 1.03330 | + | 0.428007i | ||||
\(982\) | −25.9827 | − | 26.9269i | −0.829140 | − | 0.859273i | ||||
\(983\) | −5.20141 | −0.165899 | −0.0829496 | − | 0.996554i | \(-0.526434\pi\) | ||||
−0.0829496 | + | 0.996554i | \(0.526434\pi\) | |||||||
\(984\) | −16.6630 | − | 9.21684i | −0.531197 | − | 0.293822i | ||||
\(985\) | 2.08761 | 0.0665168 | ||||||||
\(986\) | −12.7131 | − | 13.1751i | −0.404868 | − | 0.419582i | ||||
\(987\) | 0.344763 | + | 0.142805i | 0.0109739 | + | 0.00454555i | ||||
\(988\) | 16.3259 | + | 0.582916i | 0.519396 | + | 0.0185450i | ||||
\(989\) | −1.82249 | + | 0.928604i | −0.0579517 | + | 0.0295279i | ||||
\(990\) | 7.53567 | + | 19.1524i | 0.239499 | + | 0.608703i | ||||
\(991\) | −5.51846 | − | 9.00531i | −0.175300 | − | 0.286063i | 0.752908 | − | 0.658126i | \(-0.228651\pi\) |
−0.928208 | + | 0.372063i | \(0.878651\pi\) | |||||||
\(992\) | 7.41134 | − | 11.8091i | 0.235310 | − | 0.374939i | ||||
\(993\) | 3.09678 | + | 3.09678i | 0.0982734 | + | 0.0982734i | ||||
\(994\) | −0.648264 | − | 0.223499i | −0.0205617 | − | 0.00708896i | ||||
\(995\) | −33.8317 | − | 2.66261i | −1.07254 | − | 0.0844105i | ||||
\(996\) | 1.30089 | + | 0.594081i | 0.0412203 | + | 0.0188242i | ||||
\(997\) | −9.68885 | − | 40.3570i | −0.306849 | − | 1.27812i | −0.886300 | − | 0.463111i | \(-0.846733\pi\) |
0.579451 | − | 0.815007i | \(-0.303267\pi\) | |||||||
\(998\) | −12.3309 | + | 47.6030i | −0.390327 | + | 1.50685i | ||||
\(999\) | 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.111.14 | yes | 288 | |
4.3 | odd | 2 | inner | 164.2.o.b.111.3 | yes | 288 | |
41.17 | odd | 40 | inner | 164.2.o.b.99.3 | ✓ | 288 | |
164.99 | even | 40 | inner | 164.2.o.b.99.14 | yes | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
164.2.o.b.99.3 | ✓ | 288 | 41.17 | odd | 40 | inner | |
164.2.o.b.99.14 | yes | 288 | 164.99 | even | 40 | inner | |
164.2.o.b.111.3 | yes | 288 | 4.3 | odd | 2 | inner | |
164.2.o.b.111.14 | yes | 288 | 1.1 | even | 1 | trivial |