Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [98,2,Mod(9,98)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(98, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("98.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 98 = 2 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 98.g (of order \(21\), degree \(12\), 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: | \(0.782533939809\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 81.1 | ||
Character | \(\chi\) | \(=\) | 98.81 |
Dual form | 98.2.g.a.23.1 |
$q$-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 \(\left(\mathbb{Z}/98\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{2}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0747301 | − | 0.997204i | −0.0528422 | − | 0.705130i | ||||
\(3\) | −1.08331 | − | 0.334156i | −0.625448 | − | 0.192925i | −0.0342001 | − | 0.999415i | \(-0.510888\pi\) |
−0.591248 | + | 0.806490i | \(0.701365\pi\) | |||||||
\(4\) | −0.988831 | + | 0.149042i | −0.494415 | + | 0.0745211i | ||||
\(5\) | 2.80532 | − | 2.60296i | 1.25458 | − | 1.16408i | 0.275344 | − | 0.961346i | \(-0.411208\pi\) |
0.979234 | − | 0.202733i | \(-0.0649824\pi\) | |||||||
\(6\) | −0.252266 | + | 1.10525i | −0.102987 | + | 0.451217i | ||||
\(7\) | −2.61464 | − | 0.404557i | −0.988240 | − | 0.152908i | ||||
\(8\) | 0.222521 | + | 0.974928i | 0.0786730 | + | 0.344689i | ||||
\(9\) | −1.41682 | − | 0.965972i | −0.472274 | − | 0.321991i | ||||
\(10\) | −2.80532 | − | 2.60296i | −0.887121 | − | 0.823128i | ||||
\(11\) | 2.00403 | − | 1.36632i | 0.604237 | − | 0.411962i | −0.222192 | − | 0.975003i | \(-0.571321\pi\) |
0.826429 | + | 0.563041i | \(0.190369\pi\) | |||||||
\(12\) | 1.12101 | + | 0.168965i | 0.323608 | + | 0.0487761i | ||||
\(13\) | 3.52337 | + | 1.69676i | 0.977206 | + | 0.470597i | 0.853143 | − | 0.521677i | \(-0.174693\pi\) |
0.124063 | + | 0.992274i | \(0.460408\pi\) | |||||||
\(14\) | −0.208033 | + | 2.63756i | −0.0555992 | + | 0.704918i | ||||
\(15\) | −3.90882 | + | 1.88239i | −1.00925 | + | 0.486031i | ||||
\(16\) | 0.955573 | − | 0.294755i | 0.238893 | − | 0.0736888i | ||||
\(17\) | 1.90797 | + | 4.86142i | 0.462750 | + | 1.17907i | 0.951775 | + | 0.306798i | \(0.0992578\pi\) |
−0.489024 | + | 0.872270i | \(0.662647\pi\) | |||||||
\(18\) | −0.857392 | + | 1.48505i | −0.202089 | + | 0.350029i | ||||
\(19\) | 1.60059 | + | 2.77231i | 0.367201 | + | 0.636011i | 0.989127 | − | 0.147065i | \(-0.0469828\pi\) |
−0.621926 | + | 0.783076i | \(0.713649\pi\) | |||||||
\(20\) | −2.38604 | + | 2.99200i | −0.533534 | + | 0.669031i | ||||
\(21\) | 2.69727 | + | 1.31196i | 0.588593 | + | 0.286293i | ||||
\(22\) | −1.51226 | − | 1.89632i | −0.322416 | − | 0.404297i | ||||
\(23\) | −1.50100 | + | 3.82450i | −0.312981 | + | 0.797463i | 0.684663 | + | 0.728860i | \(0.259949\pi\) |
−0.997644 | + | 0.0686030i | \(0.978146\pi\) | |||||||
\(24\) | 0.0847196 | − | 1.13050i | 0.0172933 | − | 0.230763i | ||||
\(25\) | 0.720789 | − | 9.61826i | 0.144158 | − | 1.92365i | ||||
\(26\) | 1.42872 | − | 3.64031i | 0.280195 | − | 0.713924i | ||||
\(27\) | 3.33257 | + | 4.17891i | 0.641353 | + | 0.804232i | ||||
\(28\) | 2.64573 | + | 0.0103465i | 0.499996 | + | 0.00195531i | ||||
\(29\) | −0.332203 | + | 0.416569i | −0.0616885 | + | 0.0773549i | −0.811718 | − | 0.584049i | \(-0.801468\pi\) |
0.750030 | + | 0.661404i | \(0.230039\pi\) | |||||||
\(30\) | 2.16923 | + | 3.75722i | 0.396046 | + | 0.685972i | ||||
\(31\) | 3.70735 | − | 6.42133i | 0.665861 | − | 1.15330i | −0.313191 | − | 0.949690i | \(-0.601398\pi\) |
0.979051 | − | 0.203614i | \(-0.0652688\pi\) | |||||||
\(32\) | −0.365341 | − | 0.930874i | −0.0645838 | − | 0.164557i | ||||
\(33\) | −2.62755 | + | 0.810490i | −0.457397 | + | 0.141088i | ||||
\(34\) | 4.70525 | − | 2.26593i | 0.806943 | − | 0.388604i | ||||
\(35\) | −8.38795 | + | 5.67088i | −1.41782 | + | 0.958554i | ||||
\(36\) | 1.54497 | + | 0.744017i | 0.257494 | + | 0.124003i | ||||
\(37\) | −11.5026 | − | 1.73374i | −1.89102 | − | 0.285025i | −0.901876 | − | 0.431995i | \(-0.857810\pi\) |
−0.989141 | + | 0.146970i | \(0.953048\pi\) | |||||||
\(38\) | 2.64494 | − | 1.80329i | 0.429066 | − | 0.292532i | ||||
\(39\) | −3.24991 | − | 3.01547i | −0.520401 | − | 0.482862i | ||||
\(40\) | 3.16194 | + | 2.15577i | 0.499947 | + | 0.340858i | ||||
\(41\) | 0.288200 | + | 1.26269i | 0.0450093 | + | 0.197199i | 0.992434 | − | 0.122781i | \(-0.0391812\pi\) |
−0.947425 | + | 0.319979i | \(0.896324\pi\) | |||||||
\(42\) | 1.10672 | − | 2.78777i | 0.170771 | − | 0.430163i | ||||
\(43\) | 0.0321723 | − | 0.140956i | 0.00490624 | − | 0.0214956i | −0.972416 | − | 0.233255i | \(-0.925062\pi\) |
0.977322 | + | 0.211760i | \(0.0679194\pi\) | |||||||
\(44\) | −1.77801 | + | 1.64975i | −0.268044 | + | 0.248709i | ||||
\(45\) | −6.48902 | + | 0.978063i | −0.967327 | + | 0.145801i | ||||
\(46\) | 3.92597 | + | 1.21100i | 0.578853 | + | 0.178553i | ||||
\(47\) | 0.221635 | + | 2.95751i | 0.0323288 | + | 0.431397i | 0.989761 | + | 0.142738i | \(0.0455905\pi\) |
−0.957432 | + | 0.288660i | \(0.906790\pi\) | |||||||
\(48\) | −1.13367 | −0.163632 | ||||||||
\(49\) | 6.67267 | + | 2.11554i | 0.953238 | + | 0.302220i | ||||
\(50\) | −9.64523 | −1.36404 | ||||||||
\(51\) | −0.442442 | − | 5.90398i | −0.0619543 | − | 0.826723i | ||||
\(52\) | −3.73690 | − | 1.15268i | −0.518215 | − | 0.159848i | ||||
\(53\) | 5.40760 | − | 0.815064i | 0.742791 | − | 0.111958i | 0.233265 | − | 0.972413i | \(-0.425059\pi\) |
0.509526 | + | 0.860456i | \(0.329821\pi\) | |||||||
\(54\) | 3.91818 | − | 3.63554i | 0.533197 | − | 0.494735i | ||||
\(55\) | 2.06546 | − | 9.04938i | 0.278507 | − | 1.22022i | ||||
\(56\) | −0.187398 | − | 2.63911i | −0.0250421 | − | 0.352665i | ||||
\(57\) | −0.807551 | − | 3.53811i | −0.106963 | − | 0.468634i | ||||
\(58\) | 0.440230 | + | 0.300143i | 0.0578050 | + | 0.0394108i | ||||
\(59\) | −6.24369 | − | 5.79330i | −0.812860 | − | 0.754224i | 0.159628 | − | 0.987177i | \(-0.448970\pi\) |
−0.972488 | + | 0.232954i | \(0.925161\pi\) | |||||||
\(60\) | 3.58461 | − | 2.44395i | 0.462771 | − | 0.315512i | ||||
\(61\) | −2.28706 | − | 0.344718i | −0.292827 | − | 0.0441366i | 0.000985677 | − | 1.00000i | \(-0.499686\pi\) |
−0.293813 | + | 0.955863i | \(0.594924\pi\) | |||||||
\(62\) | −6.68042 | − | 3.21712i | −0.848414 | − | 0.408575i | ||||
\(63\) | 3.31368 | + | 3.09885i | 0.417485 | + | 0.390419i | ||||
\(64\) | −0.900969 | + | 0.433884i | −0.112621 | + | 0.0542355i | ||||
\(65\) | 14.3008 | − | 4.41121i | 1.77379 | − | 0.547143i | ||||
\(66\) | 1.00458 | + | 2.55963i | 0.123655 | + | 0.315069i | ||||
\(67\) | −3.95589 | + | 6.85180i | −0.483288 | + | 0.837080i | −0.999816 | − | 0.0191906i | \(-0.993891\pi\) |
0.516527 | + | 0.856271i | \(0.327224\pi\) | |||||||
\(68\) | −2.61122 | − | 4.52276i | −0.316656 | − | 0.548465i | ||||
\(69\) | 2.90403 | − | 3.64154i | 0.349604 | − | 0.438390i | ||||
\(70\) | 6.28186 | + | 7.94071i | 0.750826 | + | 0.949096i | ||||
\(71\) | 5.76742 | + | 7.23212i | 0.684467 | + | 0.858295i | 0.995757 | − | 0.0920204i | \(-0.0293325\pi\) |
−0.311290 | + | 0.950315i | \(0.600761\pi\) | |||||||
\(72\) | 0.626481 | − | 1.59625i | 0.0738315 | − | 0.188120i | ||||
\(73\) | −0.296625 | + | 3.95819i | −0.0347173 | + | 0.463271i | 0.952569 | + | 0.304321i | \(0.0984297\pi\) |
−0.987287 | + | 0.158949i | \(0.949189\pi\) | |||||||
\(74\) | −0.869300 | + | 11.6000i | −0.101054 | + | 1.34847i | ||||
\(75\) | −3.99484 | + | 10.1787i | −0.461284 | + | 1.17533i | ||||
\(76\) | −1.99591 | − | 2.50279i | −0.228946 | − | 0.287089i | ||||
\(77\) | −5.79257 | + | 2.76170i | −0.660124 | + | 0.314725i | ||||
\(78\) | −2.76417 | + | 3.46616i | −0.312981 | + | 0.392466i | ||||
\(79\) | −6.52866 | − | 11.3080i | −0.734532 | − | 1.27225i | −0.954928 | − | 0.296836i | \(-0.904068\pi\) |
0.220396 | − | 0.975410i | \(-0.429265\pi\) | |||||||
\(80\) | 1.91345 | − | 3.31420i | 0.213931 | − | 0.370539i | ||||
\(81\) | −0.334348 | − | 0.851905i | −0.0371498 | − | 0.0946561i | ||||
\(82\) | 1.23762 | − | 0.381755i | 0.136672 | − | 0.0421578i | ||||
\(83\) | −0.622177 | + | 0.299625i | −0.0682928 | + | 0.0328881i | −0.467718 | − | 0.883878i | \(-0.654924\pi\) |
0.399426 | + | 0.916766i | \(0.369210\pi\) | |||||||
\(84\) | −2.86268 | − | 0.895296i | −0.312344 | − | 0.0976848i | ||||
\(85\) | 18.0066 | + | 8.67150i | 1.95309 | + | 0.940556i | ||||
\(86\) | −0.142966 | − | 0.0215487i | −0.0154165 | − | 0.00232366i | ||||
\(87\) | 0.499077 | − | 0.340265i | 0.0535067 | − | 0.0364802i | ||||
\(88\) | 1.77801 | + | 1.64975i | 0.189536 | + | 0.175864i | ||||
\(89\) | −2.01773 | − | 1.37567i | −0.213879 | − | 0.145820i | 0.451642 | − | 0.892199i | \(-0.350838\pi\) |
−0.665521 | + | 0.746379i | \(0.731791\pi\) | |||||||
\(90\) | 1.46025 | + | 6.39779i | 0.153924 | + | 0.674386i | ||||
\(91\) | −8.52589 | − | 5.86182i | −0.893756 | − | 0.614486i | ||||
\(92\) | 0.914228 | − | 4.00549i | 0.0953148 | − | 0.417602i | ||||
\(93\) | −6.16193 | + | 5.71744i | −0.638963 | + | 0.592871i | ||||
\(94\) | 2.93268 | − | 0.442030i | 0.302483 | − | 0.0455919i | ||||
\(95\) | 11.7064 | + | 3.61094i | 1.20105 | + | 0.370475i | ||||
\(96\) | 0.0847196 | + | 1.13050i | 0.00864665 | + | 0.115382i | ||||
\(97\) | −9.70001 | −0.984887 | −0.492443 | − | 0.870344i | \(-0.663896\pi\) | ||||
−0.492443 | + | 0.870344i | \(0.663896\pi\) | |||||||
\(98\) | 1.61097 | − | 6.81210i | 0.162733 | − | 0.688126i | ||||
\(99\) | −4.15918 | −0.418013 | ||||||||
\(100\) | 0.720789 | + | 9.61826i | 0.0720789 | + | 0.961826i | ||||
\(101\) | 14.0905 | + | 4.34636i | 1.40206 | + | 0.432479i | 0.901333 | − | 0.433126i | \(-0.142590\pi\) |
0.500728 | + | 0.865605i | \(0.333066\pi\) | |||||||
\(102\) | −5.85441 | + | 0.882410i | −0.579673 | + | 0.0873716i | ||||
\(103\) | 5.00856 | − | 4.64726i | 0.493508 | − | 0.457908i | −0.393726 | − | 0.919228i | \(-0.628814\pi\) |
0.887234 | + | 0.461319i | \(0.152624\pi\) | |||||||
\(104\) | −0.870199 | + | 3.81259i | −0.0853301 | + | 0.373855i | ||||
\(105\) | 10.9817 | − | 3.34043i | 1.07170 | − | 0.325992i | ||||
\(106\) | −1.21690 | − | 5.33157i | −0.118195 | − | 0.517847i | ||||
\(107\) | 3.92182 | + | 2.67385i | 0.379137 | + | 0.258491i | 0.737861 | − | 0.674952i | \(-0.235836\pi\) |
−0.358724 | + | 0.933444i | \(0.616788\pi\) | |||||||
\(108\) | −3.91818 | − | 3.63554i | −0.377027 | − | 0.349830i | ||||
\(109\) | −11.6645 | + | 7.95271i | −1.11725 | + | 0.761731i | −0.973683 | − | 0.227909i | \(-0.926811\pi\) |
−0.143572 | + | 0.989640i | \(0.545859\pi\) | |||||||
\(110\) | −9.17843 | − | 1.38343i | −0.875129 | − | 0.131904i | ||||
\(111\) | 11.8815 | + | 5.72184i | 1.12774 | + | 0.543093i | ||||
\(112\) | −2.61772 | + | 0.384095i | −0.247352 | + | 0.0362935i | ||||
\(113\) | −10.3752 | + | 4.99643i | −0.976017 | + | 0.470025i | −0.852733 | − | 0.522347i | \(-0.825057\pi\) |
−0.123284 | + | 0.992371i | \(0.539342\pi\) | |||||||
\(114\) | −3.46787 | + | 1.06970i | −0.324796 | + | 0.100186i | ||||
\(115\) | 5.74421 | + | 14.6360i | 0.535650 | + | 1.36481i | ||||
\(116\) | 0.266406 | − | 0.461428i | 0.0247352 | − | 0.0428426i | ||||
\(117\) | −3.35295 | − | 5.80748i | −0.309980 | − | 0.536902i | ||||
\(118\) | −5.31051 | + | 6.65917i | −0.488872 | + | 0.613026i | ||||
\(119\) | −3.02193 | − | 13.4827i | −0.277020 | − | 1.23596i | ||||
\(120\) | −2.70499 | − | 3.39195i | −0.246931 | − | 0.309641i | ||||
\(121\) | −1.86946 | + | 4.76331i | −0.169951 | + | 0.433028i | ||||
\(122\) | −0.172842 | + | 2.30642i | −0.0156484 | + | 0.208814i | ||||
\(123\) | 0.109725 | − | 1.46418i | 0.00989360 | − | 0.132021i | ||||
\(124\) | −2.70890 | + | 6.90216i | −0.243266 | + | 0.619832i | ||||
\(125\) | −11.0837 | − | 13.8985i | −0.991357 | − | 1.24312i | ||||
\(126\) | 2.84255 | − | 3.53599i | 0.253235 | − | 0.315011i | ||||
\(127\) | 7.39823 | − | 9.27709i | 0.656487 | − | 0.823209i | −0.336469 | − | 0.941695i | \(-0.609233\pi\) |
0.992956 | + | 0.118486i | \(0.0378040\pi\) | |||||||
\(128\) | 0.500000 | + | 0.866025i | 0.0441942 | + | 0.0765466i | ||||
\(129\) | −0.0819539 | + | 0.141948i | −0.00721564 | + | 0.0124979i | ||||
\(130\) | −5.46757 | − | 13.9311i | −0.479538 | − | 1.22184i | ||||
\(131\) | −5.02761 | + | 1.55081i | −0.439265 | + | 0.135495i | −0.506496 | − | 0.862242i | \(-0.669060\pi\) |
0.0672316 | + | 0.997737i | \(0.478583\pi\) | |||||||
\(132\) | 2.47740 | − | 1.19305i | 0.215630 | − | 0.103842i | ||||
\(133\) | −3.06341 | − | 7.89611i | −0.265632 | − | 0.684680i | ||||
\(134\) | 7.12826 | + | 3.43279i | 0.615788 | + | 0.296548i | ||||
\(135\) | 20.2265 | + | 3.04865i | 1.74082 | + | 0.262386i | ||||
\(136\) | −4.31498 | + | 2.94190i | −0.370006 | + | 0.252266i | ||||
\(137\) | −6.20104 | − | 5.75373i | −0.529791 | − | 0.491574i | 0.369316 | − | 0.929304i | \(-0.379592\pi\) |
−0.899107 | + | 0.437730i | \(0.855783\pi\) | |||||||
\(138\) | −3.84837 | − | 2.62378i | −0.327595 | − | 0.223351i | ||||
\(139\) | −0.0297204 | − | 0.130214i | −0.00252086 | − | 0.0110446i | 0.973652 | − | 0.228040i | \(-0.0732316\pi\) |
−0.976173 | + | 0.216995i | \(0.930374\pi\) | |||||||
\(140\) | 7.44906 | − | 6.85770i | 0.629561 | − | 0.579582i | ||||
\(141\) | 0.748172 | − | 3.27796i | 0.0630075 | − | 0.276054i | ||||
\(142\) | 6.78090 | − | 6.29175i | 0.569040 | − | 0.527992i | ||||
\(143\) | 9.37925 | − | 1.41369i | 0.784332 | − | 0.118219i | ||||
\(144\) | −1.63860 | − | 0.505441i | −0.136550 | − | 0.0421201i | ||||
\(145\) | 0.152376 | + | 2.03332i | 0.0126542 | + | 0.168858i | ||||
\(146\) | 3.96928 | 0.328500 | ||||||||
\(147\) | −6.52163 | − | 4.52149i | −0.537895 | − | 0.372927i | ||||
\(148\) | 11.6325 | 0.956188 | ||||||||
\(149\) | 0.361990 | + | 4.83042i | 0.0296554 | + | 0.395723i | 0.992205 | + | 0.124617i | \(0.0397703\pi\) |
−0.962550 | + | 0.271106i | \(0.912611\pi\) | |||||||
\(150\) | 10.4488 | + | 3.22301i | 0.853137 | + | 0.263158i | ||||
\(151\) | 7.99425 | − | 1.20494i | 0.650563 | − | 0.0980565i | 0.184534 | − | 0.982826i | \(-0.440922\pi\) |
0.466029 | + | 0.884770i | \(0.345684\pi\) | |||||||
\(152\) | −2.34663 | + | 2.17736i | −0.190337 | + | 0.176607i | ||||
\(153\) | 1.99275 | − | 8.73081i | 0.161104 | − | 0.705844i | ||||
\(154\) | 3.18686 | + | 5.56999i | 0.256804 | + | 0.448842i | ||||
\(155\) | −6.31412 | − | 27.6640i | −0.507163 | − | 2.22202i | ||||
\(156\) | 3.66304 | + | 2.49742i | 0.293278 | + | 0.199953i | ||||
\(157\) | −0.867135 | − | 0.804584i | −0.0692049 | − | 0.0642128i | 0.644812 | − | 0.764341i | \(-0.276936\pi\) |
−0.714017 | + | 0.700128i | \(0.753126\pi\) | |||||||
\(158\) | −10.7885 | + | 7.35545i | −0.858284 | + | 0.585168i | ||||
\(159\) | −6.13045 | − | 0.924017i | −0.486176 | − | 0.0732793i | ||||
\(160\) | −3.44793 | − | 1.66043i | −0.272582 | − | 0.131269i | ||||
\(161\) | 5.47181 | − | 9.39244i | 0.431239 | − | 0.740228i | ||||
\(162\) | −0.824537 | + | 0.397076i | −0.0647818 | + | 0.0311973i | ||||
\(163\) | −14.1088 | + | 4.35197i | −1.10508 | + | 0.340873i | −0.793024 | − | 0.609190i | \(-0.791495\pi\) |
−0.312058 | + | 0.950063i | \(0.601018\pi\) | |||||||
\(164\) | −0.473175 | − | 1.20563i | −0.0369488 | − | 0.0941439i | ||||
\(165\) | −5.26144 | + | 9.11308i | −0.409603 | + | 0.709452i | ||||
\(166\) | 0.345282 | + | 0.598046i | 0.0267991 | + | 0.0464174i | ||||
\(167\) | −10.4691 | + | 13.1278i | −0.810120 | + | 1.01586i | 0.189304 | + | 0.981919i | \(0.439377\pi\) |
−0.999424 | + | 0.0339399i | \(0.989195\pi\) | |||||||
\(168\) | −0.678864 | + | 2.92159i | −0.0523755 | + | 0.225405i | ||||
\(169\) | 1.42973 | + | 1.79282i | 0.109979 | + | 0.137910i | ||||
\(170\) | 7.30162 | − | 18.6042i | 0.560009 | − | 1.42688i | ||||
\(171\) | 0.410219 | − | 5.47399i | 0.0313702 | − | 0.418606i | ||||
\(172\) | −0.0108046 | + | 0.144177i | −0.000823840 | + | 0.0109934i | ||||
\(173\) | 0.0774547 | − | 0.197351i | 0.00588877 | − | 0.0150043i | −0.927899 | − | 0.372831i | \(-0.878387\pi\) |
0.933788 | + | 0.357827i | \(0.116482\pi\) | |||||||
\(174\) | −0.376609 | − | 0.472253i | −0.0285507 | − | 0.0358014i | ||||
\(175\) | −5.77574 | + | 24.8567i | −0.436605 | + | 1.87899i | ||||
\(176\) | 1.51226 | − | 1.89632i | 0.113991 | − | 0.142940i | ||||
\(177\) | 4.82798 | + | 8.36230i | 0.362893 | + | 0.628549i | ||||
\(178\) | −1.22103 | + | 2.11489i | −0.0915204 | + | 0.158518i | ||||
\(179\) | 2.94496 | + | 7.50363i | 0.220116 | + | 0.560848i | 0.997689 | − | 0.0679456i | \(-0.0216444\pi\) |
−0.777573 | + | 0.628793i | \(0.783549\pi\) | |||||||
\(180\) | 6.27077 | − | 1.93428i | 0.467396 | − | 0.144173i | ||||
\(181\) | 5.29904 | − | 2.55189i | 0.393875 | − | 0.189680i | −0.226454 | − | 0.974022i | \(-0.572713\pi\) |
0.620329 | + | 0.784342i | \(0.286999\pi\) | |||||||
\(182\) | −5.20829 | + | 8.94010i | −0.386064 | + | 0.662685i | ||||
\(183\) | 2.36240 | + | 1.13767i | 0.174633 | + | 0.0840990i | ||||
\(184\) | −4.06261 | − | 0.612341i | −0.299500 | − | 0.0451423i | ||||
\(185\) | −36.7814 | + | 25.0771i | −2.70422 | + | 1.84371i | ||||
\(186\) | 6.16193 | + | 5.71744i | 0.451815 | + | 0.419223i | ||||
\(187\) | 10.4659 | + | 7.13553i | 0.765343 | + | 0.521802i | ||||
\(188\) | −0.659953 | − | 2.89145i | −0.0481321 | − | 0.210880i | ||||
\(189\) | −7.02286 | − | 12.2746i | −0.510838 | − | 0.892842i | ||||
\(190\) | 2.72602 | − | 11.9435i | 0.197767 | − | 0.866472i | ||||
\(191\) | 11.2005 | − | 10.3926i | 0.810442 | − | 0.751981i | −0.161582 | − | 0.986859i | \(-0.551660\pi\) |
0.972025 | + | 0.234879i | \(0.0754692\pi\) | |||||||
\(192\) | 1.12101 | − | 0.168965i | 0.0809021 | − | 0.0121940i | ||||
\(193\) | −20.2879 | − | 6.25797i | −1.46035 | − | 0.450459i | −0.540038 | − | 0.841641i | \(-0.681590\pi\) |
−0.920313 | + | 0.391182i | \(0.872066\pi\) | |||||||
\(194\) | 0.724883 | + | 9.67289i | 0.0520435 | + | 0.694473i | ||||
\(195\) | −16.9662 | −1.21497 | ||||||||
\(196\) | −6.91344 | − | 1.09740i | −0.493817 | − | 0.0783858i | ||||
\(197\) | 17.2861 | 1.23159 | 0.615793 | − | 0.787908i | \(-0.288836\pi\) | ||||
0.615793 | + | 0.787908i | \(0.288836\pi\) | |||||||
\(198\) | 0.310816 | + | 4.14755i | 0.0220887 | + | 0.294753i | ||||
\(199\) | 19.7265 | + | 6.08482i | 1.39837 | + | 0.431341i | 0.900102 | − | 0.435679i | \(-0.143492\pi\) |
0.498272 | + | 0.867021i | \(0.333968\pi\) | |||||||
\(200\) | 9.53750 | − | 1.43755i | 0.674403 | − | 0.101650i | ||||
\(201\) | 6.57501 | − | 6.10072i | 0.463766 | − | 0.430312i | ||||
\(202\) | 3.28122 | − | 14.3759i | 0.230866 | − | 1.01149i | ||||
\(203\) | 1.03712 | − | 0.954782i | 0.0727912 | − | 0.0670126i | ||||
\(204\) | 1.31744 | + | 5.77209i | 0.0922395 | + | 0.404127i | ||||
\(205\) | 4.09522 | + | 2.79207i | 0.286022 | + | 0.195007i | ||||
\(206\) | −5.00856 | − | 4.64726i | −0.348963 | − | 0.323790i | ||||
\(207\) | 5.82101 | − | 3.96870i | 0.404588 | − | 0.275844i | ||||
\(208\) | 3.86696 | + | 0.582851i | 0.268126 | + | 0.0404134i | ||||
\(209\) | 6.99550 | + | 3.36886i | 0.483889 | + | 0.233029i | ||||
\(210\) | −4.15175 | − | 10.7014i | −0.286498 | − | 0.738464i | ||||
\(211\) | −9.56828 | + | 4.60784i | −0.658707 | + | 0.317217i | −0.733208 | − | 0.680004i | \(-0.761978\pi\) |
0.0745009 | + | 0.997221i | \(0.476264\pi\) | |||||||
\(212\) | −5.22572 | + | 1.61192i | −0.358904 | + | 0.110707i | ||||
\(213\) | −3.83124 | − | 9.76183i | −0.262512 | − | 0.668870i | ||||
\(214\) | 2.37330 | − | 4.11067i | 0.162235 | − | 0.281000i | ||||
\(215\) | −0.276649 | − | 0.479171i | −0.0188673 | − | 0.0326792i | ||||
\(216\) | −3.33257 | + | 4.17891i | −0.226753 | + | 0.284339i | ||||
\(217\) | −12.2912 | + | 15.2896i | −0.834380 | + | 1.03793i | ||||
\(218\) | 8.80216 | + | 11.0376i | 0.596157 | + | 0.747558i | ||||
\(219\) | 1.64399 | − | 4.18881i | 0.111090 | − | 0.283054i | ||||
\(220\) | −0.693653 | + | 9.25615i | −0.0467660 | + | 0.624050i | ||||
\(221\) | −1.52622 | + | 20.3659i | −0.102664 | + | 1.36996i | ||||
\(222\) | 4.81793 | − | 12.2759i | 0.323359 | − | 0.823904i | ||||
\(223\) | −12.0879 | − | 15.1578i | −0.809467 | − | 1.01504i | −0.999447 | − | 0.0332512i | \(-0.989414\pi\) |
0.189980 | − | 0.981788i | \(-0.439158\pi\) | |||||||
\(224\) | 0.578643 | + | 2.58170i | 0.0386622 | + | 0.172497i | ||||
\(225\) | −10.3122 | + | 12.9311i | −0.687480 | + | 0.862073i | ||||
\(226\) | 5.75780 | + | 9.97281i | 0.383003 | + | 0.663381i | ||||
\(227\) | −0.00482040 | + | 0.00834917i | −0.000319941 | + | 0.000554154i | −0.866185 | − | 0.499723i | \(-0.833435\pi\) |
0.865865 | + | 0.500277i | \(0.166769\pi\) | |||||||
\(228\) | 1.32586 | + | 3.37823i | 0.0878071 | + | 0.223729i | ||||
\(229\) | −20.3224 | + | 6.26861i | −1.34294 | + | 0.414242i | −0.881187 | − | 0.472768i | \(-0.843255\pi\) |
−0.461752 | + | 0.887009i | \(0.652779\pi\) | |||||||
\(230\) | 14.1658 | − | 6.82190i | 0.934066 | − | 0.449822i | ||||
\(231\) | 7.19797 | − | 1.05615i | 0.473592 | − | 0.0694895i | ||||
\(232\) | −0.480047 | − | 0.231178i | −0.0315166 | − | 0.0151776i | ||||
\(233\) | 20.1508 | + | 3.03725i | 1.32012 | + | 0.198977i | 0.771038 | − | 0.636789i | \(-0.219738\pi\) |
0.549086 | + | 0.835766i | \(0.314976\pi\) | |||||||
\(234\) | −5.54068 | + | 3.77757i | −0.362205 | + | 0.246947i | ||||
\(235\) | 8.32004 | + | 7.71987i | 0.542739 | + | 0.503589i | ||||
\(236\) | 7.03740 | + | 4.79802i | 0.458096 | + | 0.312325i | ||||
\(237\) | 3.29392 | + | 14.4316i | 0.213963 | + | 0.937434i | ||||
\(238\) | −13.2192 | + | 4.02104i | −0.856875 | + | 0.260646i | ||||
\(239\) | 5.29316 | − | 23.1909i | 0.342386 | − | 1.50009i | −0.451636 | − | 0.892203i | \(-0.649159\pi\) |
0.794022 | − | 0.607889i | \(-0.207984\pi\) | |||||||
\(240\) | −3.18032 | + | 2.95091i | −0.205289 | + | 0.190480i | ||||
\(241\) | −7.50339 | + | 1.13095i | −0.483336 | + | 0.0728512i | −0.386191 | − | 0.922419i | \(-0.626209\pi\) |
−0.0971454 | + | 0.995270i | \(0.530971\pi\) | |||||||
\(242\) | 4.88969 | + | 1.50827i | 0.314321 | + | 0.0969553i | ||||
\(243\) | −1.12077 | − | 14.9556i | −0.0718975 | − | 0.959405i | ||||
\(244\) | 2.31289 | 0.148068 | ||||||||
\(245\) | 24.2256 | − | 11.4339i | 1.54772 | − | 0.730486i | ||||
\(246\) | −1.46829 | −0.0936147 | ||||||||
\(247\) | 0.935522 | + | 12.4837i | 0.0595259 | + | 0.794317i | ||||
\(248\) | 7.08529 | + | 2.18552i | 0.449917 | + | 0.138781i | ||||
\(249\) | 0.774131 | − | 0.116681i | 0.0490585 | − | 0.00739438i | ||||
\(250\) | −13.0314 | + | 12.0914i | −0.824177 | + | 0.764724i | ||||
\(251\) | −6.57630 | + | 28.8127i | −0.415093 | + | 1.81864i | 0.144054 | + | 0.989570i | \(0.453986\pi\) |
−0.559146 | + | 0.829069i | \(0.688871\pi\) | |||||||
\(252\) | −3.73853 | − | 2.57036i | −0.235505 | − | 0.161918i | ||||
\(253\) | 2.21744 | + | 9.71526i | 0.139410 | + | 0.610793i | ||||
\(254\) | −9.80402 | − | 6.68427i | −0.615159 | − | 0.419408i | ||||
\(255\) | −16.6090 | − | 15.4109i | −1.04010 | − | 0.965069i | ||||
\(256\) | 0.826239 | − | 0.563320i | 0.0516399 | − | 0.0352075i | ||||
\(257\) | 15.0040 | + | 2.26149i | 0.935923 | + | 0.141068i | 0.599257 | − | 0.800557i | \(-0.295463\pi\) |
0.336666 | + | 0.941624i | \(0.390701\pi\) | |||||||
\(258\) | 0.147676 | + | 0.0711170i | 0.00919390 | + | 0.00442755i | ||||
\(259\) | 29.3738 | + | 9.18656i | 1.82520 | + | 0.570825i | ||||
\(260\) | −13.4836 | + | 6.49336i | −0.836217 | + | 0.402701i | ||||
\(261\) | 0.873065 | − | 0.269305i | 0.0540414 | − | 0.0166696i | ||||
\(262\) | 1.92219 | + | 4.89766i | 0.118753 | + | 0.302579i | ||||
\(263\) | 10.7984 | − | 18.7034i | 0.665859 | − | 1.15330i | −0.313193 | − | 0.949690i | \(-0.601399\pi\) |
0.979052 | − | 0.203612i | \(-0.0652680\pi\) | |||||||
\(264\) | −1.37485 | − | 2.38132i | −0.0846164 | − | 0.146560i | ||||
\(265\) | 13.0485 | − | 16.3623i | 0.801562 | − | 1.00513i | ||||
\(266\) | −7.64510 | + | 3.64493i | −0.468751 | + | 0.223485i | ||||
\(267\) | 1.72614 | + | 2.16451i | 0.105638 | + | 0.132466i | ||||
\(268\) | 2.89049 | − | 7.36486i | 0.176565 | − | 0.449880i | ||||
\(269\) | 1.99786 | − | 26.6596i | 0.121812 | − | 1.62547i | −0.516918 | − | 0.856035i | \(-0.672921\pi\) |
0.638730 | − | 0.769431i | \(-0.279460\pi\) | |||||||
\(270\) | 1.52860 | − | 20.3977i | 0.0930276 | − | 1.24137i | ||||
\(271\) | 2.35631 | − | 6.00377i | 0.143135 | − | 0.364703i | −0.841271 | − | 0.540614i | \(-0.818192\pi\) |
0.984406 | + | 0.175911i | \(0.0562871\pi\) | |||||||
\(272\) | 3.25613 | + | 4.08306i | 0.197432 | + | 0.247572i | ||||
\(273\) | 7.27740 | + | 9.19914i | 0.440448 | + | 0.556757i | ||||
\(274\) | −5.27424 | + | 6.61368i | −0.318628 | + | 0.399547i | ||||
\(275\) | −11.6972 | − | 20.2601i | −0.705366 | − | 1.22173i | ||||
\(276\) | −2.32885 | + | 4.03369i | −0.140180 | + | 0.242800i | ||||
\(277\) | −9.60388 | − | 24.4703i | −0.577042 | − | 1.47028i | −0.859570 | − | 0.511019i | \(-0.829268\pi\) |
0.282528 | − | 0.959259i | \(-0.408827\pi\) | |||||||
\(278\) | −0.127629 | + | 0.0393682i | −0.00765466 | + | 0.00236115i | ||||
\(279\) | −11.4555 | + | 5.51667i | −0.685822 | + | 0.330274i | ||||
\(280\) | −7.39520 | − | 6.91576i | −0.441948 | − | 0.413295i | ||||
\(281\) | −11.7565 | − | 5.66163i | −0.701333 | − | 0.337744i | 0.0490049 | − | 0.998799i | \(-0.484395\pi\) |
−0.750338 | + | 0.661054i | \(0.770109\pi\) | |||||||
\(282\) | −3.32470 | − | 0.501118i | −0.197983 | − | 0.0298411i | ||||
\(283\) | 13.7538 | − | 9.37717i | 0.817577 | − | 0.557415i | −0.0807538 | − | 0.996734i | \(-0.525733\pi\) |
0.898331 | + | 0.439319i | \(0.144780\pi\) | |||||||
\(284\) | −6.78090 | − | 6.29175i | −0.402372 | − | 0.373347i | ||||
\(285\) | −11.4750 | − | 7.82352i | −0.679720 | − | 0.463425i | ||||
\(286\) | −2.11065 | − | 9.24738i | −0.124806 | − | 0.546809i | ||||
\(287\) | −0.242711 | − | 3.41806i | −0.0143267 | − | 0.201762i | ||||
\(288\) | −0.381575 | + | 1.67179i | −0.0224845 | + | 0.0985112i | ||||
\(289\) | −7.53123 | + | 6.98796i | −0.443013 | + | 0.411056i | ||||
\(290\) | 2.01625 | − | 0.303900i | 0.118398 | − | 0.0178456i | ||||
\(291\) | 10.5081 | + | 3.24132i | 0.615996 | + | 0.190009i | ||||
\(292\) | −0.296625 | − | 3.95819i | −0.0173587 | − | 0.231635i | ||||
\(293\) | 14.4623 | 0.844896 | 0.422448 | − | 0.906387i | \(-0.361171\pi\) | ||||
0.422448 | + | 0.906387i | \(0.361171\pi\) | |||||||
\(294\) | −4.02149 | + | 6.84129i | −0.234538 | + | 0.398992i | ||||
\(295\) | −32.5953 | −1.89777 | ||||||||
\(296\) | −0.869300 | − | 11.6000i | −0.0505271 | − | 0.674237i | ||||
\(297\) | 12.3883 | + | 3.82129i | 0.718843 | + | 0.221734i | ||||
\(298\) | 4.78986 | − | 0.721955i | 0.277469 | − | 0.0418217i | ||||
\(299\) | −11.7779 | + | 10.9283i | −0.681131 | + | 0.631997i | ||||
\(300\) | 2.43317 | − | 10.6604i | 0.140479 | − | 0.615478i | ||||
\(301\) | −0.141144 | + | 0.355534i | −0.00813539 | + | 0.0204926i | ||||
\(302\) | −1.79898 | − | 7.88185i | −0.103520 | − | 0.453549i | ||||
\(303\) | −13.8120 | − | 9.41688i | −0.793481 | − | 0.540986i | ||||
\(304\) | 2.34663 | + | 2.17736i | 0.134589 | + | 0.124880i | ||||
\(305\) | −7.31322 | + | 4.98607i | −0.418754 | + | 0.285501i | ||||
\(306\) | −8.85532 | − | 1.33472i | −0.506225 | − | 0.0763011i | ||||
\(307\) | 17.4231 | + | 8.39050i | 0.994387 | + | 0.478871i | 0.859030 | − | 0.511926i | \(-0.171068\pi\) |
0.135357 | + | 0.990797i | \(0.456782\pi\) | |||||||
\(308\) | 5.31626 | − | 3.59419i | 0.302922 | − | 0.204798i | ||||
\(309\) | −6.97872 | + | 3.36077i | −0.397005 | + | 0.191188i | ||||
\(310\) | −27.1148 | + | 8.36380i | −1.54002 | + | 0.475032i | ||||
\(311\) | −0.599012 | − | 1.52626i | −0.0339669 | − | 0.0865462i | 0.912884 | − | 0.408219i | \(-0.133850\pi\) |
−0.946851 | + | 0.321673i | \(0.895755\pi\) | |||||||
\(312\) | 2.21670 | − | 3.83943i | 0.125496 | − | 0.217365i | ||||
\(313\) | 3.06925 | + | 5.31609i | 0.173484 | + | 0.300483i | 0.939636 | − | 0.342177i | \(-0.111164\pi\) |
−0.766152 | + | 0.642660i | \(0.777831\pi\) | |||||||
\(314\) | −0.737533 | + | 0.924837i | −0.0416214 | + | 0.0521916i | ||||
\(315\) | 17.3621 | + | 0.0678972i | 0.978245 | + | 0.00382557i | ||||
\(316\) | 8.14111 | + | 10.2086i | 0.457973 | + | 0.574280i | ||||
\(317\) | −10.3153 | + | 26.2829i | −0.579364 | + | 1.47620i | 0.277537 | + | 0.960715i | \(0.410482\pi\) |
−0.856901 | + | 0.515481i | \(0.827613\pi\) | |||||||
\(318\) | −0.463304 | + | 6.18236i | −0.0259808 | + | 0.346690i | ||||
\(319\) | −0.0965756 | + | 1.28871i | −0.00540720 | + | 0.0721540i | ||||
\(320\) | −1.39813 | + | 3.56237i | −0.0781577 | + | 0.199142i | ||||
\(321\) | −3.35506 | − | 4.20711i | −0.187261 | − | 0.234818i | ||||
\(322\) | −9.77508 | − | 4.75461i | −0.544744 | − | 0.264964i | ||||
\(323\) | −10.4235 | + | 13.0706i | −0.579978 | + | 0.727269i | ||||
\(324\) | 0.457584 | + | 0.792558i | 0.0254213 | + | 0.0440310i | ||||
\(325\) | 18.8595 | − | 32.6656i | 1.04614 | − | 1.81196i | ||||
\(326\) | 5.39415 | + | 13.7441i | 0.298754 | + | 0.761214i | ||||
\(327\) | 15.2937 | − | 4.71747i | 0.845742 | − | 0.260877i | ||||
\(328\) | −1.16690 | + | 0.561949i | −0.0644312 | + | 0.0310284i | ||||
\(329\) | 0.616986 | − | 7.82249i | 0.0340155 | − | 0.431268i | ||||
\(330\) | 9.48079 | + | 4.56571i | 0.521900 | + | 0.251334i | ||||
\(331\) | −11.2309 | − | 1.69278i | −0.617305 | − | 0.0930438i | −0.167057 | − | 0.985947i | \(-0.553426\pi\) |
−0.450248 | + | 0.892903i | \(0.648665\pi\) | |||||||
\(332\) | 0.570571 | − | 0.389009i | 0.0313141 | − | 0.0213496i | ||||
\(333\) | 14.6224 | + | 13.5676i | 0.801302 | + | 0.743500i | ||||
\(334\) | 13.8734 | + | 9.45874i | 0.759120 | + | 0.517559i | ||||
\(335\) | 6.73741 | + | 29.5185i | 0.368104 | + | 1.61277i | ||||
\(336\) | 2.96415 | + | 0.458635i | 0.161707 | + | 0.0250206i | ||||
\(337\) | 4.07096 | − | 17.8361i | 0.221760 | − | 0.971592i | −0.734393 | − | 0.678724i | \(-0.762533\pi\) |
0.956153 | − | 0.292868i | \(-0.0946097\pi\) | |||||||
\(338\) | 1.68097 | − | 1.55971i | 0.0914326 | − | 0.0848371i | ||||
\(339\) | 12.9091 | − | 1.94574i | 0.701128 | − | 0.105678i | ||||
\(340\) | −19.0979 | − | 5.89091i | −1.03573 | − | 0.319479i | ||||
\(341\) | −1.34397 | − | 17.9340i | −0.0727798 | − | 0.971179i | ||||
\(342\) | −5.48934 | −0.296829 | ||||||||
\(343\) | −16.5908 | − | 8.23084i | −0.895817 | − | 0.444424i | ||||
\(344\) | 0.144581 | 0.00779529 | ||||||||
\(345\) | −1.33203 | − | 17.7748i | −0.0717143 | − | 0.956961i | ||||
\(346\) | −0.202588 | − | 0.0624900i | −0.0108912 | − | 0.00335949i | ||||
\(347\) | −28.5861 | + | 4.30866i | −1.53458 | + | 0.231301i | −0.861304 | − | 0.508090i | \(-0.830352\pi\) |
−0.673277 | + | 0.739390i | \(0.735114\pi\) | |||||||
\(348\) | −0.442789 | + | 0.410848i | −0.0237360 | + | 0.0220238i | ||||
\(349\) | 1.43370 | − | 6.28145i | 0.0767442 | − | 0.336238i | −0.921951 | − | 0.387307i | \(-0.873406\pi\) |
0.998695 | + | 0.0510684i | \(0.0162626\pi\) | |||||||
\(350\) | 25.2188 | + | 3.90204i | 1.34800 | + | 0.208573i | ||||
\(351\) | 4.65124 | + | 20.3784i | 0.248265 | + | 1.08772i | ||||
\(352\) | −2.00403 | − | 1.36632i | −0.106815 | − | 0.0728253i | ||||
\(353\) | −9.70953 | − | 9.00912i | −0.516786 | − | 0.479507i | 0.378123 | − | 0.925755i | \(-0.376569\pi\) |
−0.894909 | + | 0.446248i | \(0.852760\pi\) | |||||||
\(354\) | 7.97812 | − | 5.43939i | 0.424032 | − | 0.289100i | ||||
\(355\) | 35.0044 | + | 5.27606i | 1.85784 | + | 0.280024i | ||||
\(356\) | 2.20023 | + | 1.05957i | 0.116612 | + | 0.0561573i | ||||
\(357\) | −1.23167 | + | 15.6158i | −0.0651868 | + | 0.826474i | ||||
\(358\) | 7.26257 | − | 3.49747i | 0.383839 | − | 0.184847i | ||||
\(359\) | −10.7944 | + | 3.32964i | −0.569708 | + | 0.175731i | −0.566208 | − | 0.824262i | \(-0.691590\pi\) |
−0.00349950 | + | 0.999994i | \(0.501114\pi\) | |||||||
\(360\) | −2.39748 | − | 6.10869i | −0.126359 | − | 0.321956i | ||||
\(361\) | 4.37621 | − | 7.57982i | 0.230327 | − | 0.398938i | ||||
\(362\) | −2.94075 | − | 5.09352i | −0.154562 | − | 0.267710i | ||||
\(363\) | 3.61689 | − | 4.53544i | 0.189838 | − | 0.238049i | ||||
\(364\) | 9.30432 | + | 4.52563i | 0.487679 | + | 0.237208i | ||||
\(365\) | 9.47087 | + | 11.8761i | 0.495728 | + | 0.621623i | ||||
\(366\) | 0.957947 | − | 2.44081i | 0.0500727 | − | 0.127583i | ||||
\(367\) | −1.21310 | + | 16.1877i | −0.0633233 | + | 0.844991i | 0.871617 | + | 0.490187i | \(0.163071\pi\) |
−0.934941 | + | 0.354804i | \(0.884548\pi\) | |||||||
\(368\) | −0.307029 | + | 4.09701i | −0.0160050 | + | 0.213572i | ||||
\(369\) | 0.811393 | − | 2.06739i | 0.0422394 | − | 0.107624i | ||||
\(370\) | 27.7557 | + | 34.8045i | 1.44295 | + | 1.80940i | ||||
\(371\) | −14.4686 | − | 0.0565818i | −0.751175 | − | 0.00293758i | ||||
\(372\) | 5.24097 | − | 6.57197i | 0.271732 | − | 0.340741i | ||||
\(373\) | 0.230517 | + | 0.399267i | 0.0119357 | + | 0.0206732i | 0.871932 | − | 0.489628i | \(-0.162867\pi\) |
−0.859996 | + | 0.510301i | \(0.829534\pi\) | |||||||
\(374\) | 6.33346 | − | 10.9699i | 0.327495 | − | 0.567239i | ||||
\(375\) | 7.36279 | + | 18.7601i | 0.380213 | + | 0.968766i | ||||
\(376\) | −2.83404 | + | 0.874186i | −0.146155 | + | 0.0450827i | ||||
\(377\) | −1.87729 | + | 0.904055i | −0.0966854 | + | 0.0465612i | ||||
\(378\) | −11.7154 | + | 7.92050i | −0.602576 | + | 0.407387i | ||||
\(379\) | 14.1662 | + | 6.82210i | 0.727671 | + | 0.350428i | 0.760768 | − | 0.649024i | \(-0.224823\pi\) |
−0.0330968 | + | 0.999452i | \(0.510537\pi\) | |||||||
\(380\) | −12.1138 | − | 1.82586i | −0.621425 | − | 0.0936648i | ||||
\(381\) | −11.1146 | + | 7.57778i | −0.569416 | + | 0.388222i | ||||
\(382\) | −11.2005 | − | 10.3926i | −0.573069 | − | 0.531731i | ||||
\(383\) | 0.631170 | + | 0.430325i | 0.0322513 | + | 0.0219886i | 0.579338 | − | 0.815087i | \(-0.303311\pi\) |
−0.547087 | + | 0.837076i | \(0.684263\pi\) | |||||||
\(384\) | −0.252266 | − | 1.10525i | −0.0128734 | − | 0.0564021i | ||||
\(385\) | −9.06143 | + | 22.8253i | −0.461813 | + | 1.16328i | ||||
\(386\) | −4.72436 | + | 20.6988i | −0.240464 | + | 1.05354i | ||||
\(387\) | −0.181742 | + | 0.168632i | −0.00923847 | + | 0.00857205i | ||||
\(388\) | 9.59167 | − | 1.44571i | 0.486943 | − | 0.0733949i | ||||
\(389\) | 18.6863 | + | 5.76395i | 0.947432 | + | 0.292244i | 0.729702 | − | 0.683765i | \(-0.239659\pi\) |
0.217730 | + | 0.976009i | \(0.430135\pi\) | |||||||
\(390\) | 1.26788 | + | 16.9187i | 0.0642018 | + | 0.856714i | ||||
\(391\) | −21.4564 | −1.08510 | ||||||||
\(392\) | −0.577690 | + | 6.97612i | −0.0291777 | + | 0.352347i | ||||
\(393\) | 5.96467 | 0.300878 | ||||||||
\(394\) | −1.29179 | − | 17.2378i | −0.0650796 | − | 0.868428i | ||||
\(395\) | −47.7492 | − | 14.7287i | −2.40252 | − | 0.741080i | ||||
\(396\) | 4.11272 | − | 0.619893i | 0.206672 | − | 0.0311508i | ||||
\(397\) | 12.8143 | − | 11.8899i | 0.643129 | − | 0.596737i | −0.289673 | − | 0.957126i | \(-0.593547\pi\) |
0.932802 | + | 0.360389i | \(0.117356\pi\) | |||||||
\(398\) | 4.59364 | − | 20.1261i | 0.230258 | − | 1.00883i | ||||
\(399\) | 0.680086 | + | 9.57758i | 0.0340469 | + | 0.479479i | ||||
\(400\) | −2.14627 | − | 9.40341i | −0.107313 | − | 0.470170i | ||||
\(401\) | 6.34604 | + | 4.32666i | 0.316906 | + | 0.216063i | 0.711317 | − | 0.702871i | \(-0.248099\pi\) |
−0.394411 | + | 0.918934i | \(0.629051\pi\) | |||||||
\(402\) | −6.57501 | − | 6.10072i | −0.327932 | − | 0.304276i | ||||
\(403\) | 23.9578 | − | 16.3342i | 1.19342 | − | 0.813663i | ||||
\(404\) | −14.5810 | − | 2.19772i | −0.725429 | − | 0.109341i | ||||
\(405\) | −3.15543 | − | 1.51957i | −0.156795 | − | 0.0755083i | ||||
\(406\) | −1.02962 | − | 0.962865i | −0.0510990 | − | 0.0477862i | ||||
\(407\) | −25.4204 | + | 12.2418i | −1.26004 | + | 0.606805i | ||||
\(408\) | 5.65750 | − | 1.74511i | 0.280088 | − | 0.0863957i | ||||
\(409\) | 3.14004 | + | 8.00069i | 0.155265 | + | 0.395609i | 0.987247 | − | 0.159193i | \(-0.0508893\pi\) |
−0.831982 | + | 0.554802i | \(0.812794\pi\) | |||||||
\(410\) | 2.47823 | − | 4.29242i | 0.122391 | − | 0.211987i | ||||
\(411\) | 4.79500 | + | 8.30518i | 0.236520 | + | 0.409664i | ||||
\(412\) | −4.25998 | + | 5.34184i | −0.209874 | + | 0.263174i | ||||
\(413\) | 13.9813 | + | 17.6733i | 0.687974 | + | 0.869647i | ||||
\(414\) | −4.39261 | − | 5.50815i | −0.215885 | − | 0.270711i | ||||
\(415\) | −0.965496 | + | 2.46004i | −0.0473944 | + | 0.120759i | ||||
\(416\) | 0.292243 | − | 3.89971i | 0.0143284 | − | 0.191199i | ||||
\(417\) | −0.0113154 | + | 0.150993i | −0.000554115 | + | 0.00739415i | ||||
\(418\) | 2.83666 | − | 7.22769i | 0.138746 | − | 0.353518i | ||||
\(419\) | −19.6163 | − | 24.5981i | −0.958320 | − | 1.20170i | −0.979402 | − | 0.201918i | \(-0.935283\pi\) |
0.0210822 | − | 0.999778i | \(-0.493289\pi\) | |||||||
\(420\) | −10.3612 | + | 4.93986i | −0.505573 | + | 0.241040i | ||||
\(421\) | −15.0649 | + | 18.8907i | −0.734216 | + | 0.920678i | −0.999048 | − | 0.0436164i | \(-0.986112\pi\) |
0.264832 | + | 0.964295i | \(0.414683\pi\) | |||||||
\(422\) | 5.30999 | + | 9.19718i | 0.258486 | + | 0.447712i | ||||
\(423\) | 2.54286 | − | 4.40436i | 0.123638 | − | 0.214147i | ||||
\(424\) | 1.99793 | + | 5.09065i | 0.0970282 | + | 0.247224i | ||||
\(425\) | 48.1337 | − | 14.8473i | 2.33483 | − | 0.720199i | ||||
\(426\) | −9.44823 | + | 4.55003i | −0.457768 | + | 0.220449i | ||||
\(427\) | 5.84037 | + | 1.82656i | 0.282635 | + | 0.0883933i | ||||
\(428\) | −4.27654 | − | 2.05947i | −0.206714 | − | 0.0995483i | ||||
\(429\) | −10.6330 | − | 1.60267i | −0.513367 | − | 0.0773776i | ||||
\(430\) | −0.457157 | + | 0.311684i | −0.0220461 | + | 0.0150308i | ||||
\(431\) | −13.9835 | − | 12.9748i | −0.673563 | − | 0.624975i | 0.267360 | − | 0.963597i | \(-0.413849\pi\) |
−0.940923 | + | 0.338622i | \(0.890039\pi\) | |||||||
\(432\) | 4.41627 | + | 3.01096i | 0.212478 | + | 0.144865i | ||||
\(433\) | −2.17592 | − | 9.53333i | −0.104568 | − | 0.458143i | −0.999918 | − | 0.0127800i | \(-0.995932\pi\) |
0.895350 | − | 0.445363i | \(-0.146925\pi\) | |||||||
\(434\) | 16.1654 | + | 11.1142i | 0.775963 | + | 0.533500i | ||||
\(435\) | 0.514376 | − | 2.25363i | 0.0246625 | − | 0.108053i | ||||
\(436\) | 10.3489 | − | 9.60238i | 0.495623 | − | 0.459871i | ||||
\(437\) | −13.0052 | + | 1.96021i | −0.622122 | + | 0.0937698i | ||||
\(438\) | −4.29996 | − | 1.32636i | −0.205460 | − | 0.0633760i | ||||
\(439\) | 0.773190 | + | 10.3175i | 0.0369023 | + | 0.492427i | 0.984781 | + | 0.173797i | \(0.0556037\pi\) |
−0.947879 | + | 0.318630i | \(0.896777\pi\) | |||||||
\(440\) | 9.28210 | 0.442507 | ||||||||
\(441\) | −7.41042 | − | 9.44295i | −0.352877 | − | 0.449664i | ||||
\(442\) | 20.4231 | 0.971426 | ||||||||
\(443\) | −0.414354 | − | 5.52917i | −0.0196865 | − | 0.262699i | −0.998359 | − | 0.0572703i | \(-0.981760\pi\) |
0.978672 | − | 0.205428i | \(-0.0658587\pi\) | |||||||
\(444\) | −12.6016 | − | 3.88708i | −0.598046 | − | 0.184473i | ||||
\(445\) | −9.24119 | + | 1.39289i | −0.438074 | + | 0.0660291i | ||||
\(446\) | −14.2120 | + | 13.1869i | −0.672960 | + | 0.624416i | ||||
\(447\) | 1.22197 | − | 5.35379i | 0.0577971 | − | 0.253226i | ||||
\(448\) | 2.53124 | − | 0.769956i | 0.119590 | − | 0.0363770i | ||||
\(449\) | −1.60805 | − | 7.04534i | −0.0758888 | − | 0.332490i | 0.922705 | − | 0.385507i | \(-0.125973\pi\) |
−0.998594 | + | 0.0530167i | \(0.983116\pi\) | |||||||
\(450\) | 13.6656 | + | 9.31702i | 0.644201 | + | 0.439209i | ||||
\(451\) | 2.30280 | + | 2.13669i | 0.108435 | + | 0.100613i | ||||
\(452\) | 9.51464 | − | 6.48697i | 0.447531 | − | 0.305121i | ||||
\(453\) | −9.06287 | − | 1.36601i | −0.425811 | − | 0.0641806i | ||||
\(454\) | 0.00868606 | + | 0.00418298i | 0.000407657 | + | 0.000196317i | ||||
\(455\) | −39.1760 | + | 5.74823i | −1.83660 | + | 0.269481i | ||||
\(456\) | 3.26971 | − | 1.57461i | 0.153118 | − | 0.0737377i | ||||
\(457\) | 38.2025 | − | 11.7839i | 1.78704 | − | 0.551228i | 0.789031 | − | 0.614354i | \(-0.210583\pi\) |
0.998006 | + | 0.0631260i | \(0.0201070\pi\) | |||||||
\(458\) | 7.76978 | + | 19.7971i | 0.363058 | + | 0.925056i | ||||
\(459\) | −13.9570 | + | 24.1743i | −0.651458 | + | 1.12836i | ||||
\(460\) | −7.86143 | − | 13.6164i | −0.366541 | − | 0.634868i | ||||
\(461\) | −0.619234 | + | 0.776495i | −0.0288406 | + | 0.0361650i | −0.796043 | − | 0.605241i | \(-0.793077\pi\) |
0.767202 | + | 0.641405i | \(0.221648\pi\) | |||||||
\(462\) | −1.59110 | − | 7.09892i | −0.0740247 | − | 0.330272i | ||||
\(463\) | −15.7874 | − | 19.7968i | −0.733705 | − | 0.920036i | 0.265322 | − | 0.964160i | \(-0.414522\pi\) |
−0.999026 | + | 0.0441236i | \(0.985950\pi\) | |||||||
\(464\) | −0.194658 | + | 0.495980i | −0.00903677 | + | 0.0230253i | ||||
\(465\) | −2.40395 | + | 32.0785i | −0.111481 | + | 1.48761i | ||||
\(466\) | 1.52288 | − | 20.3215i | 0.0705462 | − | 0.941373i | ||||
\(467\) | −0.0293086 | + | 0.0746770i | −0.00135624 | + | 0.00345564i | −0.931550 | − | 0.363613i | \(-0.881543\pi\) |
0.930194 | + | 0.367068i | \(0.119638\pi\) | |||||||
\(468\) | 4.18106 | + | 5.24289i | 0.193270 | + | 0.242352i | ||||
\(469\) | 13.1152 | − | 16.3146i | 0.605601 | − | 0.753338i | ||||
\(470\) | 7.07652 | − | 8.87368i | 0.326416 | − | 0.409312i | ||||
\(471\) | 0.670518 | + | 1.16137i | 0.0308958 | + | 0.0535132i | ||||
\(472\) | 4.25870 | − | 7.37628i | 0.196022 | − | 0.339521i | ||||
\(473\) | −0.128118 | − | 0.326438i | −0.00589085 | − | 0.0150096i | ||||
\(474\) | 14.1451 | − | 4.36319i | 0.649706 | − | 0.200408i | ||||
\(475\) | 27.8185 | − | 13.3967i | 1.27640 | − | 0.614681i | ||||
\(476\) | 4.99767 | + | 12.8818i | 0.229068 | + | 0.590435i | ||||
\(477\) | −8.44892 | − | 4.06879i | −0.386850 | − | 0.186297i | ||||
\(478\) | −23.5216 | − | 3.54531i | −1.07585 | − | 0.162159i | ||||
\(479\) | 15.0116 | − | 10.2347i | 0.685896 | − | 0.467636i | −0.169554 | − | 0.985521i | \(-0.554233\pi\) |
0.855450 | + | 0.517885i | \(0.173280\pi\) | |||||||
\(480\) | 3.18032 | + | 2.95091i | 0.145161 | + | 0.134690i | ||||
\(481\) | −37.5861 | − | 25.6258i | −1.71378 | − | 1.16844i | ||||
\(482\) | 1.68852 | + | 7.39789i | 0.0769100 | + | 0.336965i | ||||
\(483\) | −9.06620 | + | 8.34646i | −0.412526 | + | 0.379777i | ||||
\(484\) | 1.13865 | − | 4.98874i | 0.0517566 | − | 0.226761i | ||||
\(485\) | −27.2117 | + | 25.2487i | −1.23562 | + | 1.14649i | ||||
\(486\) | −14.8301 | + | 2.23527i | −0.672706 | + | 0.101394i | ||||
\(487\) | −10.3649 | − | 3.19715i | −0.469678 | − | 0.144877i | 0.0508762 | − | 0.998705i | \(-0.483799\pi\) |
−0.520555 | + | 0.853828i | \(0.674275\pi\) | |||||||
\(488\) | −0.172842 | − | 2.30642i | −0.00782421 | − | 0.104407i | ||||
\(489\) | 16.7384 | 0.756935 | ||||||||
\(490\) | −13.2123 | − | 23.3035i | −0.596872 | − | 1.05274i | ||||
\(491\) | −11.7931 | −0.532213 | −0.266107 | − | 0.963944i | \(-0.585737\pi\) | ||||
−0.266107 | + | 0.963944i | \(0.585737\pi\) | |||||||
\(492\) | 0.109725 | + | 1.46418i | 0.00494680 | + | 0.0660105i | ||||
\(493\) | −2.65895 | − | 0.820178i | −0.119753 | − | 0.0369389i | ||||
\(494\) | 12.3789 | − | 1.86581i | 0.556951 | − | 0.0839469i | ||||
\(495\) | −11.6678 | + | 10.8262i | −0.524430 | + | 0.486600i | ||||
\(496\) | 1.64993 | − | 7.22881i | 0.0740840 | − | 0.324583i | ||||
\(497\) | −12.1539 | − | 21.2426i | −0.545178 | − | 0.952862i | ||||
\(498\) | −0.174206 | − | 0.763246i | −0.00780636 | − | 0.0342019i | ||||
\(499\) | −3.37872 | − | 2.30357i | −0.151252 | − | 0.103122i | 0.485329 | − | 0.874331i | \(-0.338700\pi\) |
−0.636582 | + | 0.771209i | \(0.719652\pi\) | |||||||
\(500\) | 13.0314 | + | 12.0914i | 0.582781 | + | 0.540742i | ||||
\(501\) | 15.7279 | − | 10.7231i | 0.702673 | − | 0.479074i | ||||
\(502\) | 29.2235 | + | 4.40474i | 1.30431 | + | 0.196593i | ||||
\(503\) | 1.93681 | + | 0.932719i | 0.0863581 | + | 0.0415879i | 0.476564 | − | 0.879140i | \(-0.341882\pi\) |
−0.390206 | + | 0.920728i | \(0.627596\pi\) | |||||||
\(504\) | −2.28379 | + | 3.92016i | −0.101728 | + | 0.174618i | ||||
\(505\) | 50.8419 | − | 24.4842i | 2.26244 | − | 1.08953i | ||||
\(506\) | 9.52238 | − | 2.93727i | 0.423322 | − | 0.130577i | ||||
\(507\) | −0.949754 | − | 2.41993i | −0.0421801 | − | 0.107473i | ||||
\(508\) | −5.93292 | + | 10.2761i | −0.263231 | + | 0.455929i | ||||
\(509\) | 0.530046 | + | 0.918067i | 0.0234939 | + | 0.0406926i | 0.877533 | − | 0.479516i | \(-0.159188\pi\) |
−0.854039 | + | 0.520208i | \(0.825854\pi\) | |||||||
\(510\) | −14.1266 | + | 17.7142i | −0.625538 | + | 0.784399i | ||||
\(511\) | 2.37688 | − | 10.2292i | 0.105147 | − | 0.452514i | ||||
\(512\) | −0.623490 | − | 0.781831i | −0.0275546 | − | 0.0345524i | ||||
\(513\) | −6.25114 | + | 15.9276i | −0.275994 | + | 0.703222i | ||||
\(514\) | 1.13391 | − | 15.1310i | 0.0500148 | − | 0.667401i | ||||
\(515\) | 1.95399 | − | 26.0741i | 0.0861029 | − | 1.14896i | ||||
\(516\) | 0.0598823 | − | 0.152578i | 0.00263617 | − | 0.00671685i | ||||
\(517\) | 4.48508 | + | 5.62411i | 0.197254 | + | 0.247348i | ||||
\(518\) | 6.96577 | − | 29.9781i | 0.306058 | − | 1.31716i | ||||
\(519\) | −0.149854 | + | 0.187910i | −0.00657784 | + | 0.00824835i | ||||
\(520\) | 7.48283 | + | 12.9606i | 0.328144 | + | 0.568362i | ||||
\(521\) | 7.97937 | − | 13.8207i | 0.349583 | − | 0.605495i | −0.636593 | − | 0.771200i | \(-0.719657\pi\) |
0.986175 | + | 0.165705i | \(0.0529901\pi\) | |||||||
\(522\) | −0.333796 | − | 0.850499i | −0.0146099 | − | 0.0372253i | ||||
\(523\) | −33.4890 | + | 10.3300i | −1.46437 | + | 0.451700i | −0.921587 | − | 0.388171i | \(-0.873107\pi\) |
−0.542787 | + | 0.839871i | \(0.682631\pi\) | |||||||
\(524\) | 4.74032 | − | 2.28282i | 0.207082 | − | 0.0997254i | ||||
\(525\) | 14.5629 | − | 24.9974i | 0.635578 | − | 1.09098i | ||||
\(526\) | −19.4581 | − | 9.37051i | −0.848412 | − | 0.408574i | ||||
\(527\) | 38.2903 | + | 5.77134i | 1.66795 | + | 0.251403i | ||||
\(528\) | −2.27191 | + | 1.54897i | −0.0988724 | + | 0.0674101i | ||||
\(529\) | 4.48643 | + | 4.16280i | 0.195062 | + | 0.180991i | ||||
\(530\) | −17.2916 | − | 11.7892i | −0.751101 | − | 0.512092i | ||||
\(531\) | 3.25003 | + | 14.2393i | 0.141039 | + | 0.617933i | ||||
\(532\) | 4.20605 | + | 7.35134i | 0.182356 | + | 0.318721i | ||||
\(533\) | −1.12705 | + | 4.93792i | −0.0488178 | + | 0.213885i | ||||
\(534\) | 2.02946 | − | 1.88306i | 0.0878233 | − | 0.0814881i | ||||
\(535\) | 17.9619 | − | 2.70732i | 0.776561 | − | 0.117048i | ||||
\(536\) | −7.56027 | − | 2.33204i | −0.326554 | − | 0.100729i | ||||
\(537\) | −0.682911 | − | 9.11282i | −0.0294698 | − | 0.393247i | ||||
\(538\) | −26.7344 | −1.15260 | ||||||||
\(539\) | 16.2627 | − | 4.87742i | 0.700485 | − | 0.210085i | ||||
\(540\) | −20.4549 | −0.880240 | ||||||||
\(541\) | −0.881599 | − | 11.7641i | −0.0379029 | − | 0.505779i | −0.983556 | − | 0.180603i | \(-0.942195\pi\) |
0.945653 | − | 0.325177i | \(-0.105424\pi\) | |||||||
\(542\) | −6.16307 | − | 1.90105i | −0.264726 | − | 0.0816573i | ||||
\(543\) | −6.59323 | + | 0.993769i | −0.282942 | + | 0.0426467i | ||||
\(544\) | 3.82831 | − | 3.55216i | 0.164138 | − | 0.152297i | ||||
\(545\) | −12.0221 | + | 52.6721i | −0.514968 | + | 2.25622i | ||||
\(546\) | 8.62958 | − | 7.94450i | 0.369312 | − | 0.339993i | ||||
\(547\) | −5.48351 | − | 24.0248i | −0.234458 | − | 1.02723i | −0.945894 | − | 0.324477i | \(-0.894812\pi\) |
0.711436 | − | 0.702751i | \(-0.248045\pi\) | |||||||
\(548\) | 6.98933 | + | 4.76525i | 0.298570 | + | 0.203561i | ||||
\(549\) | 2.90736 | + | 2.69764i | 0.124083 | + | 0.115132i | ||||
\(550\) | −19.3293 | + | 13.1785i | −0.824205 | + | 0.561933i | ||||
\(551\) | −1.68658 | − | 0.254211i | −0.0718506 | − | 0.0108297i | ||||
\(552\) | 4.19644 | + | 2.02090i | 0.178613 | + | 0.0860153i | ||||
\(553\) | 12.4954 | + | 32.2075i | 0.531357 | + | 1.36960i | ||||
\(554\) | −23.6842 | + | 11.4057i | −1.00624 | + | 0.484582i | ||||
\(555\) | 48.2252 | − | 14.8755i | 2.04705 | − | 0.631430i | ||||
\(556\) | 0.0487959 | + | 0.124330i | 0.00206941 | + | 0.00527276i | ||||
\(557\) | 15.4047 | − | 26.6817i | 0.652718 | − | 1.13054i | −0.329743 | − | 0.944071i | \(-0.606962\pi\) |
0.982461 | − | 0.186470i | \(-0.0597046\pi\) | |||||||
\(558\) | 6.35731 | + | 11.0112i | 0.269126 | + | 0.466141i | ||||
\(559\) | 0.352524 | − | 0.442051i | 0.0149102 | − | 0.0186968i | ||||
\(560\) | −6.34377 | + | 7.89133i | −0.268073 | + | 0.333470i | ||||
\(561\) | −8.95341 | − | 11.2272i | −0.378013 | − | 0.474014i | ||||
\(562\) | −4.76723 | + | 12.1467i | −0.201093 | + | 0.512378i | ||||
\(563\) | −2.00254 | + | 26.7220i | −0.0843968 | + | 1.12620i | 0.780805 | + | 0.624774i | \(0.214809\pi\) |
−0.865202 | + | 0.501423i | \(0.832810\pi\) | |||||||
\(564\) | −0.251262 | + | 3.35285i | −0.0105800 | + | 0.141181i | ||||
\(565\) | −16.1003 | + | 41.0228i | −0.677344 | + | 1.72584i | ||||
\(566\) | −10.3788 | − | 13.0146i | −0.436252 | − | 0.547043i | ||||
\(567\) | 0.529556 | + | 2.36269i | 0.0222392 | + | 0.0992235i | ||||
\(568\) | −5.76742 | + | 7.23212i | −0.241996 | + | 0.303453i | ||||
\(569\) | 3.90343 | + | 6.76094i | 0.163640 | + | 0.283433i | 0.936172 | − | 0.351543i | \(-0.114343\pi\) |
−0.772531 | + | 0.634977i | \(0.781010\pi\) | |||||||
\(570\) | −6.94412 | + | 12.0276i | −0.290857 | + | 0.503779i | ||||
\(571\) | 3.65070 | + | 9.30184i | 0.152777 | + | 0.389270i | 0.986687 | − | 0.162631i | \(-0.0519979\pi\) |
−0.833910 | + | 0.551901i | \(0.813903\pi\) | |||||||
\(572\) | −9.06379 | + | 2.79581i | −0.378976 | + | 0.116899i | ||||
\(573\) | −15.6064 | + | 7.51564i | −0.651966 | + | 0.313970i | ||||
\(574\) | −3.39037 | + | 0.497464i | −0.141511 | + | 0.0207637i | ||||
\(575\) | 35.7031 | + | 17.1937i | 1.48892 | + | 0.717027i | ||||
\(576\) | 1.69563 | + | 0.255575i | 0.0706513 | + | 0.0106490i | ||||
\(577\) | −11.7895 | + | 8.03792i | −0.490802 | + | 0.334623i | −0.783301 | − | 0.621643i | \(-0.786466\pi\) |
0.292499 | + | 0.956266i | \(0.405513\pi\) | |||||||
\(578\) | 7.53123 | + | 6.98796i | 0.313258 | + | 0.290661i | ||||
\(579\) | 19.8869 | + | 13.5586i | 0.826469 | + | 0.563477i | ||||
\(580\) | −0.453725 | − | 1.98790i | −0.0188399 | − | 0.0825430i | ||||
\(581\) | 1.74798 | − | 0.531704i | 0.0725185 | − | 0.0220588i | ||||
\(582\) | 2.44698 | − | 10.7209i | 0.101431 | − | 0.444397i | ||||
\(583\) | 9.72334 | − | 9.02194i | 0.402699 | − | 0.373651i | ||||
\(584\) | −3.92495 | + | 0.591591i | −0.162416 | + | 0.0244802i | ||||
\(585\) | −24.5227 | − | 7.56427i | −1.01389 | − | 0.312744i | ||||
\(586\) | −1.08077 | − | 14.4219i | −0.0446461 | − | 0.595761i | ||||
\(587\) | 21.5201 | 0.888230 | 0.444115 | − | 0.895970i | \(-0.353518\pi\) | ||||
0.444115 | + | 0.895970i | \(0.353518\pi\) | |||||||
\(588\) | 7.12269 | + | 3.49899i | 0.293735 | + | 0.144296i | ||||
\(589\) | 23.7359 | 0.978019 | ||||||||
\(590\) | 2.43585 | + | 32.5042i | 0.100282 | + | 1.33818i | ||||
\(591\) | −18.7262 | − | 5.77627i | −0.770293 | − | 0.237604i | ||||
\(592\) | −11.5026 | + | 1.73374i | −0.472754 | + | 0.0712562i | ||||
\(593\) | −12.9273 | + | 11.9948i | −0.530861 | + | 0.492567i | −0.899449 | − | 0.437026i | \(-0.856032\pi\) |
0.368588 | + | 0.929593i | \(0.379841\pi\) | |||||||
\(594\) | 2.88482 | − | 12.6392i | 0.118366 | − | 0.518594i | ||||
\(595\) | −43.5725 | − | 29.9575i | −1.78630 | − | 1.22814i | ||||
\(596\) | −1.07788 | − | 4.72251i | −0.0441518 | − | 0.193442i | ||||
\(597\) | −19.3366 | − | 13.1835i | −0.791394 | − | 0.539563i | ||||
\(598\) | 11.7779 | + | 10.9283i | 0.481632 | + | 0.446889i | ||||
\(599\) | −4.18826 | + | 2.85551i | −0.171128 | + | 0.116673i | −0.645855 | − | 0.763460i | \(-0.723499\pi\) |
0.474727 | + | 0.880133i | \(0.342547\pi\) | |||||||
\(600\) | −10.8124 | − | 1.62971i | −0.441415 | − | 0.0665326i | ||||
\(601\) | −0.951205 | − | 0.458076i | −0.0388005 | − | 0.0186853i | 0.414383 | − | 0.910103i | \(-0.363997\pi\) |
−0.453183 | + | 0.891417i | \(0.649712\pi\) | |||||||
\(602\) | 0.365088 | + | 0.114180i | 0.0148799 | + | 0.00465363i | ||||
\(603\) | 12.2234 | − | 5.88649i | 0.497776 | − | 0.239716i | ||||
\(604\) | −7.72537 | + | 2.38296i | −0.314341 | + | 0.0969613i | ||||
\(605\) | 7.15426 | + | 18.2287i | 0.290862 | + | 0.741104i | ||||
\(606\) | −8.35838 | + | 14.4771i | −0.339536 | + | 0.588093i | ||||
\(607\) | 22.8953 | + | 39.6558i | 0.929290 | + | 1.60958i | 0.784512 | + | 0.620114i | \(0.212914\pi\) |
0.144778 | + | 0.989464i | \(0.453753\pi\) | |||||||
\(608\) | 1.99591 | − | 2.50279i | 0.0809447 | − | 0.101501i | ||||
\(609\) | −1.44256 | + | 0.687765i | −0.0584556 | + | 0.0278696i | ||||
\(610\) | 5.51864 | + | 6.92016i | 0.223443 | + | 0.280189i | ||||
\(611\) | −4.23730 | + | 10.7965i | −0.171423 | + | 0.436778i | ||||
\(612\) | −0.669233 | + | 8.93030i | −0.0270522 | + | 0.360986i | ||||
\(613\) | −1.55127 | + | 20.7003i | −0.0626553 | + | 0.836077i | 0.874023 | + | 0.485885i | \(0.161503\pi\) |
−0.936678 | + | 0.350192i | \(0.886116\pi\) | |||||||
\(614\) | 7.06502 | − | 18.0014i | 0.285121 | − | 0.726476i | ||||
\(615\) | −3.50339 | − | 4.39312i | −0.141270 | − | 0.177148i | ||||
\(616\) | −3.98142 | − | 5.03280i | −0.160416 | − | 0.202777i | ||||
\(617\) | 20.1516 | − | 25.2693i | 0.811273 | − | 1.01730i | −0.188108 | − | 0.982148i | \(-0.560236\pi\) |
0.999382 | − | 0.0351565i | \(-0.0111930\pi\) | |||||||
\(618\) | 3.87290 | + | 6.70805i | 0.155791 | + | 0.269838i | ||||
\(619\) | −14.8645 | + | 25.7461i | −0.597455 | + | 1.03482i | 0.395741 | + | 0.918362i | \(0.370488\pi\) |
−0.993195 | + | 0.116460i | \(0.962845\pi\) | |||||||
\(620\) | 10.3667 | + | 26.4139i | 0.416337 | + | 1.06081i | ||||
\(621\) | −20.9844 | + | 6.47284i | −0.842076 | + | 0.259746i | ||||
\(622\) | −1.47723 | + | 0.711395i | −0.0592314 | + | 0.0285243i | ||||
\(623\) | 4.71910 | + | 4.41315i | 0.189067 | + | 0.176809i | ||||
\(624\) | −3.99435 | − | 1.92358i | −0.159902 | − | 0.0770047i | ||||
\(625\) | −19.5832 | − | 2.95169i | −0.783326 | − | 0.118067i | ||||
\(626\) | 5.07186 | − | 3.45794i | 0.202712 | − | 0.138207i | ||||
\(627\) | −6.45256 | − | 5.98710i | −0.257690 | − | 0.239102i | ||||
\(628\) | 0.977367 | + | 0.666358i | 0.0390012 | + | 0.0265906i | ||||
\(629\) | −13.5182 | − | 59.2270i | −0.539005 | − | 2.36153i | ||||
\(630\) | −1.22977 | − | 17.3187i | −0.0489951 | − | 0.689992i | ||||
\(631\) | −2.21544 | + | 9.70648i | −0.0881953 | + | 0.386409i | −0.999690 | − | 0.0249032i | \(-0.992072\pi\) |
0.911495 | + | 0.411312i | \(0.134929\pi\) | |||||||
\(632\) | 9.57170 | − | 8.88124i | 0.380742 | − | 0.353277i | ||||
\(633\) | 11.9051 | − | 1.79441i | 0.473186 | − | 0.0713214i | ||||
\(634\) | 26.9803 | + | 8.32232i | 1.07152 | + | 0.330522i | ||||
\(635\) | −3.39346 | − | 45.2825i | −0.134665 | − | 1.79698i | ||||
\(636\) | 6.19970 | 0.245834 | ||||||||
\(637\) | 19.9207 | + | 18.7758i | 0.789286 | + | 0.743922i | ||||
\(638\) | 1.29233 | 0.0511637 | ||||||||
\(639\) | −1.18538 | − | 15.8178i | −0.0468929 | − | 0.625742i | ||||
\(640\) | 3.65689 | + | 1.12800i | 0.144551 | + | 0.0445882i | ||||
\(641\) | −20.8195 | + | 3.13803i | −0.822320 | + | 0.123945i | −0.546707 | − | 0.837324i | \(-0.684119\pi\) |
−0.275613 | + | 0.961269i | \(0.588881\pi\) | |||||||
\(642\) | −3.94462 | + | 3.66007i | −0.155682 | + | 0.144452i | ||||
\(643\) | 2.67820 | − | 11.7340i | 0.105618 | − | 0.462742i | −0.894266 | − | 0.447535i | \(-0.852302\pi\) |
0.999884 | − | 0.0152073i | \(-0.00484081\pi\) | |||||||
\(644\) | −4.01082 | + | 10.1031i | −0.158049 | + | 0.398116i | ||||
\(645\) | 0.139579 | + | 0.611534i | 0.00549590 | + | 0.0240791i | ||||
\(646\) | 13.8130 | + | 9.41757i | 0.543467 | + | 0.370529i | ||||
\(647\) | 34.1458 | + | 31.6827i | 1.34241 | + | 1.24558i | 0.944647 | + | 0.328087i | \(0.106404\pi\) |
0.397764 | + | 0.917488i | \(0.369786\pi\) | |||||||
\(648\) | 0.756147 | − | 0.515532i | 0.0297042 | − | 0.0202520i | ||||
\(649\) | −20.4281 | − | 3.07904i | −0.801872 | − | 0.120863i | ||||
\(650\) | −33.9837 | − | 16.3657i | −1.33295 | − | 0.641915i | ||||
\(651\) | 18.4243 | − | 12.4562i | 0.722104 | − | 0.488196i | ||||
\(652\) | 13.3025 | − | 6.40617i | 0.520968 | − | 0.250885i | ||||
\(653\) | −7.72417 | + | 2.38259i | −0.302270 | + | 0.0932380i | −0.442180 | − | 0.896926i | \(-0.645795\pi\) |
0.139910 | + | 0.990164i | \(0.455319\pi\) | |||||||
\(654\) | −5.84718 | − | 14.8984i | −0.228643 | − | 0.582572i | ||||
\(655\) | −10.0674 | + | 17.4372i | −0.393365 | + | 0.681328i | ||||
\(656\) | 0.647580 | + | 1.12164i | 0.0252837 | + | 0.0437927i | ||||
\(657\) | 4.24376 | − | 5.32151i | 0.165565 | − | 0.207612i | ||||
\(658\) | −7.84672 | − | 0.0306857i | −0.305897 | − | 0.00119625i | ||||
\(659\) | 29.0518 | + | 36.4298i | 1.13170 | + | 1.41910i | 0.894173 | + | 0.447722i | \(0.147765\pi\) |
0.237524 | + | 0.971382i | \(0.423664\pi\) | |||||||
\(660\) | 3.84444 | − | 9.79547i | 0.149645 | − | 0.381288i | ||||
\(661\) | −0.799779 | + | 10.6723i | −0.0311078 | + | 0.415105i | 0.959811 | + | 0.280646i | \(0.0905486\pi\) |
−0.990919 | + | 0.134459i | \(0.957070\pi\) | |||||||
\(662\) | −0.848765 | + | 11.3260i | −0.0329882 | + | 0.440197i | ||||
\(663\) | 8.45877 | − | 21.5526i | 0.328511 | − | 0.837034i | ||||
\(664\) | −0.430560 | − | 0.539905i | −0.0167090 | − | 0.0209524i | ||||
\(665\) | −29.1471 | − | 14.1772i | −1.13028 | − | 0.549768i | ||||
\(666\) | 12.4369 | − | 15.5954i | 0.481921 | − | 0.604310i | ||||
\(667\) | −1.09453 | − | 1.89578i | −0.0423803 | − | 0.0734049i | ||||
\(668\) | 8.39553 | − | 14.5415i | 0.324833 | − | 0.562627i | ||||
\(669\) | 8.02987 | + | 20.4598i | 0.310453 | + | 0.791021i | ||||
\(670\) | 28.9325 | − | 8.92449i | 1.11776 | − | 0.344783i | ||||
\(671\) | −5.05432 | + | 2.43403i | −0.195120 | + | 0.0939648i | ||||
\(672\) | 0.235842 | − | 2.99013i | 0.00909780 | − | 0.115347i | ||||
\(673\) | −16.1016 | − | 7.75413i | −0.620671 | − | 0.298900i | 0.0969969 | − | 0.995285i | \(-0.469076\pi\) |
−0.717668 | + | 0.696385i | \(0.754791\pi\) | |||||||
\(674\) | −18.0904 | − | 2.72669i | −0.696817 | − | 0.105028i | ||||
\(675\) | 42.5959 | − | 29.0414i | 1.63952 | − | 1.11780i | ||||
\(676\) | −1.68097 | − | 1.55971i | −0.0646526 | − | 0.0599889i | ||||
\(677\) | 5.41303 | + | 3.69054i | 0.208040 | + | 0.141839i | 0.662858 | − | 0.748745i | \(-0.269343\pi\) |
−0.454818 | + | 0.890584i | \(0.650296\pi\) | |||||||
\(678\) | −2.90500 | − | 12.7276i | −0.111566 | − | 0.488802i | ||||
\(679\) | 25.3620 | + | 3.92420i | 0.973305 | + | 0.150597i | ||||
\(680\) | −4.44725 | + | 19.4847i | −0.170544 | + | 0.747204i | ||||
\(681\) | 0.00801190 | − | 0.00743396i | 0.000307017 | − | 0.000284870i | ||||
\(682\) | −17.7834 | + | 2.68041i | −0.680961 | + | 0.102638i | ||||
\(683\) | −4.51200 | − | 1.39177i | −0.172647 | − | 0.0532545i | 0.207227 | − | 0.978293i | \(-0.433556\pi\) |
−0.379873 | + | 0.925038i | \(0.624032\pi\) | |||||||
\(684\) | 0.410219 | + | 5.47399i | 0.0156851 | + | 0.209303i | ||||
\(685\) | −32.3727 | −1.23690 | ||||||||
\(686\) | −6.96800 | + | 17.1595i | −0.266039 | + | 0.655151i | ||||
\(687\) | 24.1101 | 0.919856 | ||||||||
\(688\) | −0.0108046 | − | 0.144177i | −0.000411920 | − | 0.00549669i | ||||
\(689\) | 20.4359 | + | 6.30364i | 0.778546 | + | 0.240150i | ||||
\(690\) | −17.6255 | + | 2.65662i | −0.670992 | + | 0.101136i | ||||
\(691\) | 3.47553 | − | 3.22482i | 0.132215 | − | 0.122678i | −0.611294 | − | 0.791404i | \(-0.709351\pi\) |
0.743509 | + | 0.668726i | \(0.233160\pi\) | |||||||
\(692\) | −0.0471759 | + | 0.206691i | −0.00179336 | + | 0.00785722i | ||||
\(693\) | 10.8747 | + | 1.68262i | 0.413098 | + | 0.0639176i | ||||
\(694\) | 6.43285 | + | 28.1842i | 0.244188 | + | 1.06986i | ||||
\(695\) | −0.422317 | − | 0.287931i | −0.0160194 | − | 0.0109218i | ||||
\(696\) | 0.442789 | + | 0.410848i | 0.0167839 | + | 0.0155731i | ||||
\(697\) | −5.58858 | + | 3.81023i | −0.211683 | + | 0.144323i | ||||
\(698\) | −6.37102 | − | 0.960277i | −0.241147 | − | 0.0363470i | ||||
\(699\) | −20.8146 | − | 10.0238i | −0.787282 | − | 0.379135i | ||||
\(700\) | 2.00653 | − | 25.4399i | 0.0758397 | − | 0.961537i | ||||
\(701\) | −6.84704 | + | 3.29736i | −0.258609 | + | 0.124540i | −0.558697 | − | 0.829372i | \(-0.688698\pi\) |
0.300088 | + | 0.953912i | \(0.402984\pi\) | |||||||
\(702\) | 19.9738 | − | 6.16111i | 0.753864 | − | 0.232536i | ||||
\(703\) | −13.6045 | − | 34.6638i | −0.513104 | − | 1.30737i | ||||
\(704\) | −1.21274 | + | 2.10053i | −0.0457069 | + | 0.0791667i | ||||
\(705\) | −6.43352 | − | 11.1432i | −0.242300 | − | 0.419677i | ||||
\(706\) | −8.25834 | + | 10.3556i | −0.310807 | + | 0.389739i | ||||
\(707\) | −35.0833 | − | 17.0646i | −1.31944 | − | 0.641779i | ||||
\(708\) | −6.02039 | − | 7.54933i | −0.226260 | − | 0.283721i | ||||
\(709\) | 15.5419 | − | 39.6002i | 0.583689 | − | 1.48722i | −0.268131 | − | 0.963382i | \(-0.586406\pi\) |
0.851821 | − | 0.523834i | \(-0.175499\pi\) | |||||||
\(710\) | 2.64543 | − | 35.3008i | 0.0992812 | − | 1.32482i | ||||
\(711\) | −1.67324 | + | 22.3279i | −0.0627515 | + | 0.837361i | ||||
\(712\) | 0.892187 | − | 2.27326i | 0.0334361 | − | 0.0851939i | ||||
\(713\) | 18.9936 | + | 23.8172i | 0.711316 | + | 0.891961i | ||||
\(714\) | 15.6641 | + | 0.0612569i | 0.586216 | + | 0.00229248i | ||||
\(715\) | 22.6320 | − | 28.3797i | 0.846390 | − | 1.06134i | ||||
\(716\) | −4.03042 | − | 6.98090i | −0.150624 | − | 0.260888i | ||||
\(717\) | −13.4835 | + | 23.3541i | −0.503550 | + | 0.872175i | ||||
\(718\) | 4.12699 | + | 10.5154i | 0.154018 | + | 0.392432i | ||||
\(719\) | −38.8786 | + | 11.9925i | −1.44993 | + | 0.447243i | −0.916989 | − | 0.398912i | \(-0.869388\pi\) |
−0.532937 | + | 0.846155i | \(0.678912\pi\) | |||||||
\(720\) | −5.91245 | + | 2.84728i | −0.220344 | + | 0.106112i | ||||
\(721\) | −14.9756 | + | 10.1247i | −0.557722 | + | 0.377062i | ||||
\(722\) | −7.88566 | − | 3.79753i | −0.293474 | − | 0.141330i | ||||
\(723\) | 8.50640 | + | 1.28213i | 0.316356 | + | 0.0476831i | ||||
\(724\) | −4.85952 | + | 3.31316i | −0.180603 | + | 0.123133i | ||||
\(725\) | 3.76722 | + | 3.49547i | 0.139911 | + | 0.129819i | ||||
\(726\) | −4.79305 | − | 3.26784i | −0.177887 | − | 0.121281i | ||||
\(727\) | −5.71242 | − | 25.0277i | −0.211862 | − | 0.928228i | −0.963301 | − | 0.268425i | \(-0.913497\pi\) |
0.751439 | − | 0.659803i | \(-0.229360\pi\) | |||||||
\(728\) | 3.81767 | − | 9.61651i | 0.141492 | − | 0.356411i | ||||
\(729\) | −4.39431 | + | 19.2527i | −0.162752 | + | 0.713065i | ||||
\(730\) | 11.1351 | − | 10.3319i | 0.412129 | − | 0.382400i | ||||
\(731\) | 0.746632 | − | 0.112537i | 0.0276152 | − | 0.00416232i | ||||
\(732\) | −2.50557 | − | 0.772866i | −0.0926086 | − | 0.0285660i | ||||
\(733\) | 3.87736 | + | 51.7398i | 0.143214 | + | 1.91105i | 0.356887 | + | 0.934148i | \(0.383838\pi\) |
−0.213673 | + | 0.976905i | \(0.568543\pi\) | |||||||
\(734\) | 16.2331 | 0.599174 | ||||||||
\(735\) | −30.0646 | + | 4.29130i | −1.10895 | + | 0.158287i | ||||
\(736\) | 4.10850 | 0.151441 | ||||||||
\(737\) | 1.43406 | + | 19.1362i | 0.0528243 | + | 0.704891i | ||||
\(738\) | −2.12225 | − | 0.654627i | −0.0781211 | − | 0.0240972i | ||||
\(739\) | 11.3618 | − | 1.71251i | 0.417950 | − | 0.0629958i | 0.0632991 | − | 0.997995i | \(-0.479838\pi\) |
0.354651 | + | 0.934999i | \(0.384600\pi\) | |||||||
\(740\) | 32.6330 | − | 30.2790i | 1.19961 | − | 1.11308i | ||||
\(741\) | 3.15804 | − | 13.8363i | 0.116013 | − | 0.508288i | ||||
\(742\) | 1.02482 | + | 14.4324i | 0.0376223 | + | 0.529831i | ||||
\(743\) | 8.97471 | + | 39.3208i | 0.329250 | + | 1.44254i | 0.820563 | + | 0.571556i | \(0.193660\pi\) |
−0.491313 | + | 0.870983i | \(0.663483\pi\) | |||||||
\(744\) | −6.94525 | − | 4.73519i | −0.254625 | − | 0.173601i | ||||
\(745\) | 13.5889 | + | 12.6086i | 0.497858 | + | 0.461945i | ||||
\(746\) | 0.380924 | − | 0.259709i | 0.0139466 | − | 0.00950863i | ||||
\(747\) | 1.17094 | + | 0.176491i | 0.0428425 | + | 0.00645747i | ||||
\(748\) | −11.4125 | − | 5.49597i | −0.417282 | − | 0.200953i | ||||
\(749\) | −9.17242 | − | 8.57776i | −0.335153 | − | 0.313425i | ||||
\(750\) | 18.1574 | − | 8.74414i | 0.663014 | − | 0.319291i | ||||
\(751\) | −48.7278 | + | 15.0305i | −1.77810 | + | 0.548472i | −0.997103 | − | 0.0760600i | \(-0.975766\pi\) |
−0.780999 | + | 0.624532i | \(0.785290\pi\) | |||||||
\(752\) | 1.08353 | + | 2.76079i | 0.0395123 | + | 0.100676i | ||||
\(753\) | 16.7521 | − | 29.0155i | 0.610480 | − | 1.05738i | ||||
\(754\) | 1.04182 | + | 1.80448i | 0.0379408 | + | 0.0657153i | ||||
\(755\) | 19.2900 | − | 24.1889i | 0.702036 | − | 0.880326i | ||||
\(756\) | 8.77385 | + | 11.0908i | 0.319102 | + | 0.403367i | ||||
\(757\) | −19.3200 | − | 24.2265i | −0.702198 | − | 0.880528i | 0.294988 | − | 0.955501i | \(-0.404684\pi\) |
−0.997186 | + | 0.0749728i | \(0.976113\pi\) | |||||||
\(758\) | 5.74438 | − | 14.6364i | 0.208645 | − | 0.531620i | ||||
\(759\) | 0.844239 | − | 11.2656i | 0.0306439 | − | 0.408915i | ||||
\(760\) | −0.915492 | + | 12.2164i | −0.0332084 | + | 0.443135i | ||||
\(761\) | 8.34731 | − | 21.2686i | 0.302590 | − | 0.770986i | −0.696008 | − | 0.718035i | \(-0.745042\pi\) |
0.998597 | − | 0.0529512i | \(-0.0168628\pi\) | |||||||
\(762\) | 8.38718 | + | 10.5172i | 0.303836 | + | 0.380998i | ||||
\(763\) | 33.7157 | − | 16.0745i | 1.22059 | − | 0.581936i | ||||
\(764\) | −9.52650 | + | 11.9459i | −0.344657 | + | 0.432186i | ||||
\(765\) | −17.1356 | − | 29.6798i | −0.619540 | − | 1.07308i | ||||
\(766\) | 0.381954 | − | 0.661564i | 0.0138006 | − | 0.0239033i | ||||
\(767\) | −12.1690 | − | 31.0060i | −0.439395 | − | 1.11956i | ||||
\(768\) | −1.08331 | + | 0.334156i | −0.0390905 | + | 0.0120578i | ||||
\(769\) | −5.01401 | + | 2.41462i | −0.180810 | + | 0.0870734i | −0.522099 | − | 0.852885i | \(-0.674851\pi\) |
0.341289 | + | 0.939958i | \(0.389137\pi\) | |||||||
\(770\) | 23.4386 | + | 7.33035i | 0.844669 | + | 0.264168i | ||||
\(771\) | −15.4982 | − | 7.46356i | −0.558156 | − | 0.268794i | ||||
\(772\) | 20.9940 | + | 3.16433i | 0.755589 | + | 0.113887i | ||||
\(773\) | 9.40015 | − | 6.40891i | 0.338100 | − | 0.230513i | −0.382353 | − | 0.924016i | \(-0.624886\pi\) |
0.720453 | + | 0.693504i | \(0.243934\pi\) | |||||||
\(774\) | 0.181742 | + | 0.168632i | 0.00653259 | + | 0.00606136i | ||||
\(775\) | −59.0898 | − | 40.2867i | −2.12257 | − | 1.44714i | ||||
\(776\) | −2.15846 | − | 9.45681i | −0.0774840 | − | 0.339480i | ||||
\(777\) | −28.7511 | − | 19.7673i | −1.03144 | − | 0.709148i | ||||
\(778\) | 4.35141 | − | 19.0648i | 0.156006 | − | 0.683505i | ||||
\(779\) | −3.03927 | + | 2.82003i | −0.108893 | + | 0.101038i | ||||
\(780\) | 16.7767 | − | 2.52868i | 0.600702 | − | 0.0905412i | ||||
\(781\) | 21.4395 | + | 6.61321i | 0.767165 | + | 0.236639i | ||||
\(782\) | 1.60344 | + | 21.3964i | 0.0573388 | + | 0.765133i | ||||
\(783\) | −2.84789 | −0.101775 | ||||||||
\(784\) | 6.99979 | + | 0.0547482i | 0.249992 | + | 0.00195529i | ||||
\(785\) | −4.52689 | −0.161572 | ||||||||
\(786\) | −0.445740 | − | 5.94799i | −0.0158990 | − | 0.212158i | ||||
\(787\) | 4.01650 | + | 1.23893i | 0.143173 | + | 0.0441630i | 0.365513 | − | 0.930806i | \(-0.380893\pi\) |
−0.222340 | + | 0.974969i | \(0.571370\pi\) | |||||||
\(788\) | −17.0931 | + | 2.57636i | −0.608915 | + | 0.0917792i | ||||
\(789\) | −17.9479 | + | 16.6532i | −0.638961 | + | 0.592869i | ||||
\(790\) | −11.1192 | + | 48.7164i | −0.395603 | + | 1.73325i | ||||
\(791\) | 29.1487 | − | 8.86651i | 1.03641 | − | 0.315257i | ||||
\(792\) | −0.925504 | − | 4.05490i | −0.0328864 | − | 0.144085i | ||||
\(793\) | −7.47323 | − | 5.09516i | −0.265382 | − | 0.180934i | ||||
\(794\) | −12.8143 | − | 11.8899i | −0.454761 | − | 0.421957i | ||||
\(795\) | −19.6031 | + | 13.3651i | −0.695249 | + | 0.474013i | ||||
\(796\) | −20.4131 | − | 3.07677i | −0.723522 | − | 0.109053i | ||||
\(797\) | −7.34703 | − | 3.53814i | −0.260245 | − | 0.125328i | 0.299212 | − | 0.954187i | \(-0.403276\pi\) |
−0.559457 | + | 0.828859i | \(0.688990\pi\) | |||||||
\(798\) | 9.49997 | − | 1.39392i | 0.336295 | − | 0.0493442i | ||||
\(799\) | −13.9548 | + | 6.72030i | −0.493687 | + | 0.237747i | ||||
\(800\) | −9.21672 | + | 2.84298i | −0.325860 | + | 0.100515i | ||||
\(801\) | 1.52991 | + | 3.89814i | 0.0540567 | + | 0.137734i | ||||
\(802\) | 3.84032 | − | 6.65163i | 0.135606 | − | 0.234877i | ||||
\(803\) | 4.81372 | + | 8.33760i | 0.169872 | + | 0.294228i | ||||
\(804\) | −5.59231 | + | 7.01254i | −0.197226 | + | 0.247313i | ||||
\(805\) | −9.09793 | − | 40.5917i | −0.320660 | − | 1.43067i | ||||
\(806\) | −18.0789 | − | 22.6702i | −0.636801 | − | 0.798523i | ||||
\(807\) | −11.0728 | + | 28.2130i | −0.389780 | + | 0.993144i | ||||
\(808\) | −1.10194 | + | 14.7044i | −0.0387662 | + | 0.517300i | ||||
\(809\) | −0.268571 | + | 3.58384i | −0.00944247 | + | 0.126001i | −0.999933 | − | 0.0115803i | \(-0.996314\pi\) |
0.990490 | + | 0.137581i | \(0.0439328\pi\) | |||||||
\(810\) | −1.27952 | + | 3.26016i | −0.0449578 | + | 0.114550i | ||||
\(811\) | 9.26165 | + | 11.6137i | 0.325220 | + | 0.407814i | 0.917383 | − | 0.398005i | \(-0.130297\pi\) |
−0.592163 | + | 0.805818i | \(0.701726\pi\) | |||||||
\(812\) | −0.883229 | + | 1.09869i | −0.0309953 | + | 0.0385565i | ||||
\(813\) | −4.55880 | + | 5.71656i | −0.159884 | + | 0.200488i | ||||
\(814\) | 14.1073 | + | 24.4345i | 0.494459 | + | 0.856428i | ||||
\(815\) | −28.2516 | + | 48.9332i | −0.989610 | + | 1.71406i | ||||
\(816\) | −2.16301 | − | 5.51127i | −0.0757206 | − | 0.192933i | ||||
\(817\) | 0.442269 | − | 0.136422i | 0.0154730 | − | 0.00477280i | ||||
\(818\) | 7.74366 | − | 3.72915i | 0.270751 | − | 0.130387i | ||||
\(819\) | 6.41730 | + | 16.5409i | 0.224239 | + | 0.577987i | ||||
\(820\) | −4.46561 | − | 2.15053i | −0.155946 | − | 0.0750996i | ||||
\(821\) | 25.9629 | + | 3.91327i | 0.906110 | + | 0.136574i | 0.585533 | − | 0.810648i | \(-0.300885\pi\) |
0.320577 | + | 0.947223i | \(0.396123\pi\) | |||||||
\(822\) | 7.92362 | − | 5.40224i | 0.276368 | − | 0.188425i | ||||
\(823\) | 17.1331 | + | 15.8972i | 0.597223 | + | 0.554142i | 0.919793 | − | 0.392404i | \(-0.128356\pi\) |
−0.322570 | + | 0.946546i | \(0.604547\pi\) | |||||||
\(824\) | 5.64525 | + | 3.84887i | 0.196662 | + | 0.134082i | ||||
\(825\) | 5.90160 | + | 25.8566i | 0.205467 | + | 0.900212i | ||||
\(826\) | 16.5791 | − | 15.2629i | 0.576860 | − | 0.531065i | ||||
\(827\) | 0.632079 | − | 2.76932i | 0.0219796 | − | 0.0962987i | −0.962748 | − | 0.270399i | \(-0.912844\pi\) |
0.984728 | + | 0.174100i | \(0.0557016\pi\) | |||||||
\(828\) | −5.16449 | + | 4.79195i | −0.179478 | + | 0.166532i | ||||
\(829\) | −9.78817 | + | 1.47533i | −0.339957 | + | 0.0512403i | −0.316802 | − | 0.948492i | \(-0.602609\pi\) |
−0.0231550 | + | 0.999732i | \(0.507371\pi\) | |||||||
\(830\) | 2.52532 | + | 0.778957i | 0.0876551 | + | 0.0270380i | ||||
\(831\) | 2.22706 | + | 29.7181i | 0.0772559 | + | 1.03091i | ||||
\(832\) | −3.91064 | −0.135577 | ||||||||
\(833\) | 2.44671 | + | 36.4751i | 0.0847734 | + | 1.26379i | ||||
\(834\) | 0.151416 | 0.00524312 | ||||||||
\(835\) | 4.80200 | + | 64.0782i | 0.166180 | + | 2.21752i | ||||
\(836\) | −7.41947 | − | 2.28860i | −0.256608 | − | 0.0791530i | ||||
\(837\) | 39.1892 | − | 5.90682i | 1.35458 | − | 0.204169i | ||||
\(838\) | −23.0634 | + | 21.3997i | −0.796711 | + | 0.739240i | ||||
\(839\) | 5.51627 | − | 24.1683i | 0.190443 | − | 0.834384i | −0.785934 | − | 0.618310i | \(-0.787818\pi\) |
0.976377 | − | 0.216074i | \(-0.0693252\pi\) | |||||||
\(840\) | 5.70033 | + | 9.96304i | 0.196680 | + | 0.343758i | ||||
\(841\) | 6.38994 | + | 27.9961i | 0.220343 | + | 0.965384i | ||||
\(842\) | 19.9637 | + | 13.6110i | 0.687995 | + | 0.469067i | ||||
\(843\) | 10.8440 | + | 10.0618i | 0.373488 | + | 0.346546i | ||||
\(844\) | 8.77464 | − | 5.98245i | 0.302036 | − | 0.205924i | ||||
\(845\) | 8.67750 | + | 1.30792i | 0.298515 | + | 0.0449939i | ||||
\(846\) | −4.58207 | − | 2.20661i | −0.157535 | − | 0.0758647i | ||||
\(847\) | 6.81499 | − | 11.6980i | 0.234166 | − | 0.401949i | ||||
\(848\) | 4.92711 | − | 2.37277i | 0.169198 | − | 0.0814813i | ||||
\(849\) | −18.0330 | + | 5.56245i | −0.618891 | + | 0.190903i | ||||
\(850\) | −18.4028 | − | 46.8896i | −0.631211 | − | 1.60830i | ||||
\(851\) | 23.8961 | − | 41.3893i | 0.819149 | − | 1.41881i | ||||
\(852\) | 5.24337 | + | 9.08178i | 0.179635 | + | 0.311137i | ||||
\(853\) | 10.4098 | − | 13.0534i | 0.356424 | − | 0.446941i | −0.571002 | − | 0.820949i | \(-0.693445\pi\) |
0.927426 | + | 0.374008i | \(0.122017\pi\) | |||||||
\(854\) | 1.38500 | − | 5.96053i | 0.0473937 | − | 0.203965i | ||||
\(855\) | −13.0978 | − | 16.4241i | −0.447934 | − | 0.561692i | ||||
\(856\) | −1.73413 | + | 4.41848i | −0.0592712 | + | 0.151021i | ||||
\(857\) | 1.60662 | − | 21.4389i | 0.0548812 | − | 0.732339i | −0.900102 | − | 0.435679i | \(-0.856508\pi\) |
0.954983 | − | 0.296660i | \(-0.0958727\pi\) | |||||||
\(858\) | −0.803581 | + | 10.7230i | −0.0274338 | + | 0.366079i | ||||
\(859\) | −2.77933 | + | 7.08163i | −0.0948296 | + | 0.241622i | −0.970416 | − | 0.241440i | \(-0.922380\pi\) |
0.875586 | + | 0.483062i | \(0.160475\pi\) | |||||||
\(860\) | 0.344976 | + | 0.432587i | 0.0117636 | + | 0.0147511i | ||||
\(861\) | −0.879237 | + | 3.78392i | −0.0299643 | + | 0.128956i | ||||
\(862\) | −11.8935 | + | 14.9140i | −0.405096 | + | 0.507974i | ||||
\(863\) | −15.4433 | − | 26.7487i | −0.525698 | − | 0.910535i | −0.999552 | − | 0.0299318i | \(-0.990471\pi\) |
0.473854 | − | 0.880603i | \(-0.342862\pi\) | |||||||
\(864\) | 2.67251 | − | 4.62893i | 0.0909208 | − | 0.157479i | ||||
\(865\) | −0.296412 | − | 0.755246i | −0.0100783 | − | 0.0256791i | ||||
\(866\) | −9.34407 | + | 2.88226i | −0.317524 | + | 0.0979433i | ||||
\(867\) | 10.4937 | − | 5.05350i | 0.356385 | − | 0.171626i | ||||
\(868\) | 9.87510 | − | 16.9507i | 0.335183 | − | 0.575346i | ||||
\(869\) | −28.5340 | − | 13.7412i | −0.967949 | − | 0.466140i | ||||
\(870\) | −2.28577 | − | 0.344524i | −0.0774948 | − | 0.0116805i | ||||
\(871\) | −25.5639 | + | 17.4292i | −0.866200 | + | 0.590565i | ||||
\(872\) | −10.3489 | − | 9.60238i | −0.350458 | − | 0.325178i | ||||
\(873\) | 13.7432 | + | 9.36994i | 0.465136 | + | 0.317124i | ||||
\(874\) | 2.92661 | + | 12.8223i | 0.0989941 | + | 0.433722i | ||||
\(875\) | 23.3571 | + | 40.8236i | 0.789615 | + | 1.38009i | ||||
\(876\) | −1.00132 | + | 4.38705i | −0.0338313 | + | 0.148225i | ||||
\(877\) | 19.2555 | − | 17.8665i | 0.650213 | − | 0.603310i | −0.284516 | − | 0.958671i | \(-0.591833\pi\) |
0.934729 | + | 0.355362i | \(0.115642\pi\) | |||||||
\(878\) | 10.2309 | − | 1.54206i | 0.345275 | − | 0.0520418i | ||||
\(879\) | −15.6671 | − | 4.83267i | −0.528439 | − | 0.163002i | ||||
\(880\) | −0.693653 | − | 9.25615i | −0.0233830 | − | 0.312025i | ||||
\(881\) | 51.1262 | 1.72248 | 0.861242 | − | 0.508195i | \(-0.169687\pi\) | ||||
0.861242 | + | 0.508195i | \(0.169687\pi\) | |||||||
\(882\) | −8.86276 | + | 8.09537i | −0.298425 | + | 0.272585i | ||||
\(883\) | −35.1649 | −1.18339 | −0.591696 | − | 0.806161i | \(-0.701541\pi\) | ||||
−0.591696 | + | 0.806161i | \(0.701541\pi\) | |||||||
\(884\) | −1.52622 | − | 20.3659i | −0.0513322 | − | 0.684981i | ||||
\(885\) | 35.3108 | + | 10.8919i | 1.18696 | + | 0.366128i | ||||
\(886\) | −5.48274 | + | 0.826390i | −0.184196 | + | 0.0277631i | ||||
\(887\) | 33.0898 | − | 30.7029i | 1.11105 | − | 1.03090i | 0.111739 | − | 0.993738i | \(-0.464358\pi\) |
0.999309 | − | 0.0371645i | \(-0.0118326\pi\) | |||||||
\(888\) | −2.93449 | + | 12.8569i | −0.0984752 | + | 0.431448i | ||||
\(889\) | −23.0968 | + | 21.2632i | −0.774642 | + | 0.713146i | ||||
\(890\) | 2.07959 | + | 9.11126i | 0.0697079 | + | 0.305410i | ||||
\(891\) | −1.83402 | − | 1.25041i | −0.0614420 | − | 0.0418905i | ||||
\(892\) | 14.2120 | + | 13.1869i | 0.475855 | + | 0.441529i | ||||
\(893\) | −7.84438 | + | 5.34821i | −0.262502 | + | 0.178971i | ||||
\(894\) | −5.43014 | − | 0.818462i | −0.181611 | − | 0.0273735i | ||||
\(895\) | 27.7932 | + | 13.3845i | 0.929024 | + | 0.447395i | ||||
\(896\) | −0.956963 | − | 2.46662i | −0.0319699 | − | 0.0824040i | ||||
\(897\) | 16.4108 | − | 7.90302i | 0.547940 | − | 0.263874i | ||||
\(898\) | −6.90547 | + | 2.13006i | −0.230439 | + | 0.0710809i | ||||
\(899\) | 1.44333 | + | 3.67755i | 0.0481378 | + | 0.122653i | ||||
\(900\) | 8.26974 | − | 14.3236i | 0.275658 | − | 0.477454i | ||||
\(901\) | 14.2799 | + | 24.7335i | 0.475732 | + | 0.823993i | ||||
\(902\) | 1.95862 | − | 2.45604i | 0.0652150 | − | 0.0817771i | ||||
\(903\) | 0.271706 | − | 0.337989i | 0.00904181 | − | 0.0112476i | ||||
\(904\) | −7.17986 | − | 9.00326i | −0.238799 | − | 0.299444i | ||||
\(905\) | 8.22308 | − | 20.9521i | 0.273344 | − | 0.696470i | ||||
\(906\) | −0.684919 | + | 9.13961i | −0.0227549 | + | 0.303643i | ||||
\(907\) | 0.954864 | − | 12.7418i | 0.0317057 | − | 0.423084i | −0.958655 | − | 0.284571i | \(-0.908149\pi\) |
0.990361 | − | 0.138513i | \(-0.0442321\pi\) | |||||||
\(908\) | 0.00352218 | − | 0.00897436i | 0.000116888 | − | 0.000297825i | ||||
\(909\) | −15.7653 | − | 19.7691i | −0.522902 | − | 0.655699i | ||||
\(910\) | 8.65978 | + | 38.6368i | 0.287069 | + | 1.28080i | ||||
\(911\) | 26.8953 | − | 33.7256i | 0.891080 | − | 1.11738i | −0.101384 | − | 0.994847i | \(-0.532327\pi\) |
0.992465 | − | 0.122532i | \(-0.0391014\pi\) | |||||||
\(912\) | −1.81455 | − | 3.14289i | −0.0600857 | − | 0.104072i | ||||
\(913\) | −0.837476 | + | 1.45055i | −0.0277164 | + | 0.0480062i | ||||
\(914\) | −14.6058 | − | 37.2150i | −0.483118 | − | 1.23096i | ||||
\(915\) | 9.58859 | − | 2.95769i | 0.316989 | − | 0.0977782i | ||||
\(916\) | 19.1611 | − | 9.22749i | 0.633100 | − | 0.304885i | ||||
\(917\) | 13.7728 | − | 2.02086i | 0.454817 | − | 0.0667347i | ||||
\(918\) | 25.1497 | + | 12.1114i | 0.830063 | + | 0.399737i | ||||
\(919\) | 18.8615 | + | 2.84291i | 0.622183 | + | 0.0937789i | 0.452566 | − | 0.891731i | \(-0.350509\pi\) |
0.169617 | + | 0.985510i | \(0.445747\pi\) | |||||||
\(920\) | −12.9908 | + | 8.85701i | −0.428295 | + | 0.292007i | ||||
\(921\) | −16.0708 | − | 14.9115i | −0.529551 | − | 0.491351i | ||||
\(922\) | 0.820599 | + | 0.559475i | 0.0270250 | + | 0.0184253i | ||||
\(923\) | 8.04954 | + | 35.2673i | 0.264954 | + | 1.16084i | ||||
\(924\) | −6.96016 | + | 2.11715i | −0.228973 | + | 0.0696492i | ||||
\(925\) | −24.9665 | + | 109.385i | −0.820894 | + | 3.59657i | ||||
\(926\) | −18.5617 | + | 17.2227i | −0.609974 | + | 0.565973i | ||||
\(927\) | −11.5853 | + | 1.74621i | −0.380513 | + | 0.0573531i | ||||
\(928\) | 0.509140 | + | 0.157049i | 0.0167133 | + | 0.00515539i | ||||
\(929\) | 0.971743 | + | 12.9670i | 0.0318818 | + | 0.425434i | 0.990193 | + | 0.139707i | \(0.0446160\pi\) |
−0.958311 | + | 0.285727i | \(0.907765\pi\) | |||||||
\(930\) | 32.1685 | 1.05485 | ||||||||
\(931\) | 4.81530 | + | 21.8848i | 0.157815 | + | 0.717245i | ||||
\(932\) | −20.3784 | −0.667518 | ||||||||
\(933\) | 0.138906 | + | 1.85357i | 0.00454758 | + | 0.0606832i | ||||
\(934\) | 0.0766584 | + | 0.0236460i | 0.00250834 | + | 0.000773720i | ||||
\(935\) | 47.9337 | − | 7.22485i | 1.56760 | − | 0.236278i | ||||
\(936\) | 4.91577 | − | 4.56117i | 0.160677 | − | 0.149087i | ||||
\(937\) | −11.6840 | + | 51.1909i | −0.381699 | + | 1.67233i | 0.310459 | + | 0.950587i | \(0.399517\pi\) |
−0.692158 | + | 0.721746i | \(0.743340\pi\) | |||||||
\(938\) | −17.2491 | − | 11.8593i | −0.563202 | − | 0.387219i | ||||
\(939\) | −1.54853 | − | 6.78457i | −0.0505345 | − | 0.221406i | ||||
\(940\) | −9.37770 | − | 6.39361i | −0.305867 | − | 0.208536i | ||||
\(941\) | −30.9356 | − | 28.7041i | −1.00847 | − | 0.935726i | −0.0105372 | − | 0.999944i | \(-0.503354\pi\) |
−0.997936 | + | 0.0642182i | \(0.979545\pi\) | |||||||
\(942\) | 1.10802 | − | 0.755432i | 0.0361011 | − | 0.0246133i | ||||
\(943\) | −5.26173 | − | 0.793079i | −0.171346 | − | 0.0258262i | ||||
\(944\) | −7.67391 | − | 3.69556i | −0.249764 | − | 0.120280i | ||||
\(945\) | −51.6515 | − | 16.1539i | −1.68022 | − | 0.525485i | ||||
\(946\) | −0.315951 | + | 0.152154i | −0.0102725 | + | 0.00494695i | ||||
\(947\) | −0.356152 | + | 0.109858i | −0.0115734 | + | 0.00356992i | −0.300536 | − | 0.953770i | \(-0.597166\pi\) |
0.288963 | + | 0.957340i | \(0.406690\pi\) | |||||||
\(948\) | −5.40805 | − | 13.7795i | −0.175645 | − | 0.447537i | ||||
\(949\) | −7.76122 | + | 13.4428i | −0.251940 | + | 0.436373i | ||||
\(950\) | −15.4381 | − | 26.7395i | −0.500878 | − | 0.867545i | ||||
\(951\) | 19.9572 | − | 25.0256i | 0.647158 | − | 0.811510i | ||||
\(952\) | 12.4723 | − | 5.94635i | 0.404228 | − | 0.192722i | ||||
\(953\) | −25.6111 | − | 32.1153i | −0.829625 | − | 1.04032i | −0.998504 | − | 0.0546804i | \(-0.982586\pi\) |
0.168879 | − | 0.985637i | \(-0.445985\pi\) | |||||||
\(954\) | −3.42602 | + | 8.72936i | −0.110922 | + | 0.282623i | ||||
\(955\) | 4.36966 | − | 58.3091i | 0.141399 | − | 1.88684i | ||||
\(956\) | −1.77762 | + | 23.7207i | −0.0574925 | + | 0.767184i | ||||
\(957\) | 0.535252 | − | 1.36380i | 0.0173023 | − | 0.0440854i | ||||
\(958\) | −11.3279 | − | 14.2048i | −0.365988 | − | 0.458935i | ||||
\(959\) | 13.8858 | + | 17.5526i | 0.448395 | + | 0.566803i | ||||
\(960\) | 2.70499 | − | 3.39195i | 0.0873032 | − | 0.109475i | ||||
\(961\) | −11.9890 | − | 20.7655i | −0.386741 | − | 0.669854i | ||||
\(962\) | −22.7453 | + | 39.3961i | −0.733339 | + | 1.27018i | ||||
\(963\) | −2.97365 | − | 7.57674i | −0.0958246 | − | 0.244157i | ||||
\(964\) | 7.25102 | − | 2.23664i | 0.233540 | − | 0.0720375i | ||||
\(965\) | −73.2032 | + | 35.2528i | −2.35650 | + | 1.13483i | ||||
\(966\) | 9.00064 | + | 8.41711i | 0.289591 | + | 0.270816i | ||||
\(967\) | −5.41633 | − | 2.60837i | −0.174178 | − | 0.0838795i | 0.344763 | − | 0.938690i | \(-0.387959\pi\) |
−0.518941 | + | 0.854810i | \(0.673673\pi\) | |||||||
\(968\) | −5.05988 | − | 0.762654i | −0.162631 | − | 0.0245126i | ||||
\(969\) | 15.6595 | − | 10.6764i | 0.503055 | − | 0.342977i | ||||
\(970\) | 27.2117 | + | 25.2487i | 0.873714 | + | 0.810688i | ||||
\(971\) | 36.0163 | + | 24.5555i | 1.15582 | + | 0.788023i | 0.980506 | − | 0.196490i | \(-0.0629543\pi\) |
0.175312 | + | 0.984513i | \(0.443907\pi\) | |||||||
\(972\) | 3.33728 | + | 14.6216i | 0.107043 | + | 0.468987i | ||||
\(973\) | 0.0250294 | + | 0.352486i | 0.000802404 | + | 0.0113002i | ||||
\(974\) | −2.41364 | + | 10.5748i | −0.0773380 | + | 0.338840i | ||||
\(975\) | −31.3461 | + | 29.0849i | −1.00388 | + | 0.931463i | ||||
\(976\) | −2.28706 | + | 0.344718i | −0.0732069 | + | 0.0110342i | ||||
\(977\) | −47.1051 | − | 14.5300i | −1.50703 | − | 0.464856i | −0.572245 | − | 0.820083i | \(-0.693927\pi\) |
−0.934780 | + | 0.355227i | \(0.884404\pi\) | |||||||
\(978\) | −1.25086 | − | 16.6916i | −0.0399981 | − | 0.533737i | ||||
\(979\) | −5.92319 | −0.189306 | ||||||||
\(980\) | −22.2509 | + | 14.9169i | −0.710780 | + | 0.476501i | ||||
\(981\) | 24.2086 | 0.772920 | ||||||||
\(982\) | 0.881297 | + | 11.7601i | 0.0281233 | + | 0.375279i | ||||
\(983\) | −57.7031 | − | 17.7991i | −1.84044 | − | 0.567702i | −0.999653 | − | 0.0263424i | \(-0.991614\pi\) |
−0.840791 | − | 0.541359i | \(-0.817910\pi\) | |||||||
\(984\) | 1.45189 | − | 0.218837i | 0.0462845 | − | 0.00697627i | ||||
\(985\) | 48.4932 | − | 44.9951i | 1.54512 | − | 1.43366i | ||||
\(986\) | −0.619181 | + | 2.71281i | −0.0197187 | + | 0.0863934i | ||||
\(987\) | −3.28232 | + | 8.26799i | −0.104477 | + | 0.263173i | ||||
\(988\) | −2.78567 | − | 12.2048i | −0.0886239 | − | 0.388287i | ||||
\(989\) | 0.490796 | + | 0.334619i | 0.0156064 | + | 0.0106403i | ||||
\(990\) | 11.6678 | + | 10.8262i | 0.370828 | + | 0.344078i | ||||
\(991\) | −20.2394 | + | 13.7990i | −0.642926 | + | 0.438340i | −0.840399 | − | 0.541969i | \(-0.817679\pi\) |
0.197472 | + | 0.980308i | \(0.436727\pi\) | |||||||
\(992\) | −7.33189 | − | 1.10511i | −0.232788 | − | 0.0350871i | ||||
\(993\) | 11.6009 | + | 5.58668i | 0.368142 | + | 0.177288i | ||||
\(994\) | −20.2750 | + | 13.7074i | −0.643083 | + | 0.434772i | ||||
\(995\) | 71.1777 | − | 34.2774i | 2.25649 | − | 1.08667i | ||||
\(996\) | −0.748094 | + | 0.230756i | −0.0237043 | + | 0.00731179i | ||||
\(997\) | −22.7012 | − | 57.8416i | −0.718953 | − | 1.83186i | −0.525599 | − | 0.850733i | \(-0.676159\pi\) |
−0.193354 | − | 0.981129i | \(-0.561937\pi\) | |||||||
\(998\) | −2.04464 | + | 3.54142i | −0.0647219 | + | 0.112102i | ||||
\(999\) | −31.0881 | − | 53.8462i | −0.983584 | − | 1.70362i |
(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 | 98.2.g.a.81.1 | yes | 24 | |
3.2 | odd | 2 | 882.2.z.d.865.1 | 24 | |||
4.3 | odd | 2 | 784.2.bg.a.81.2 | 24 | |||
7.2 | even | 3 | 686.2.g.a.373.2 | 24 | |||
7.3 | odd | 6 | 686.2.e.e.197.2 | 24 | |||
7.4 | even | 3 | 686.2.e.f.197.3 | 24 | |||
7.5 | odd | 6 | 686.2.g.c.373.1 | 24 | |||
7.6 | odd | 2 | 686.2.g.b.459.2 | 24 | |||
49.4 | even | 21 | 686.2.e.f.491.3 | 24 | |||
49.11 | even | 21 | 4802.2.a.i.1.6 | 12 | |||
49.22 | even | 7 | 686.2.g.a.263.2 | 24 | |||
49.23 | even | 21 | inner | 98.2.g.a.23.1 | ✓ | 24 | |
49.26 | odd | 42 | 686.2.g.b.275.2 | 24 | |||
49.27 | odd | 14 | 686.2.g.c.263.1 | 24 | |||
49.38 | odd | 42 | 4802.2.a.k.1.7 | 12 | |||
49.45 | odd | 42 | 686.2.e.e.491.2 | 24 | |||
147.23 | odd | 42 | 882.2.z.d.415.1 | 24 | |||
196.23 | odd | 42 | 784.2.bg.a.513.2 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
98.2.g.a.23.1 | ✓ | 24 | 49.23 | even | 21 | inner | |
98.2.g.a.81.1 | yes | 24 | 1.1 | even | 1 | trivial | |
686.2.e.e.197.2 | 24 | 7.3 | odd | 6 | |||
686.2.e.e.491.2 | 24 | 49.45 | odd | 42 | |||
686.2.e.f.197.3 | 24 | 7.4 | even | 3 | |||
686.2.e.f.491.3 | 24 | 49.4 | even | 21 | |||
686.2.g.a.263.2 | 24 | 49.22 | even | 7 | |||
686.2.g.a.373.2 | 24 | 7.2 | even | 3 | |||
686.2.g.b.275.2 | 24 | 49.26 | odd | 42 | |||
686.2.g.b.459.2 | 24 | 7.6 | odd | 2 | |||
686.2.g.c.263.1 | 24 | 49.27 | odd | 14 | |||
686.2.g.c.373.1 | 24 | 7.5 | odd | 6 | |||
784.2.bg.a.81.2 | 24 | 4.3 | odd | 2 | |||
784.2.bg.a.513.2 | 24 | 196.23 | odd | 42 | |||
882.2.z.d.415.1 | 24 | 147.23 | odd | 42 | |||
882.2.z.d.865.1 | 24 | 3.2 | odd | 2 | |||
4802.2.a.i.1.6 | 12 | 49.11 | even | 21 | |||
4802.2.a.k.1.7 | 12 | 49.38 | odd | 42 |