Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [160,2,Mod(43,160)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(160, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([4, 5, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("160.43");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 160 = 2^{5} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 160.u (of order \(8\), degree \(4\), 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: | \(1.27760643234\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 43.15 | ||
Character | \(\chi\) | \(=\) | 160.43 |
Dual form | 160.2.u.a.67.15 |
$q$-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 \(\left(\mathbb{Z}/160\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(97\) | \(101\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{5}{8}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.640905 | + | 1.26065i | 0.453188 | + | 0.891415i | ||||
\(3\) | 0.0983610 | − | 0.237464i | 0.0567887 | − | 0.137100i | −0.892939 | − | 0.450179i | \(-0.851360\pi\) |
0.949727 | + | 0.313079i | \(0.101360\pi\) | |||||||
\(4\) | −1.17848 | + | 1.61591i | −0.589241 | + | 0.807957i | ||||
\(5\) | 1.44168 | − | 1.70926i | 0.644739 | − | 0.764403i | ||||
\(6\) | 0.362400 | − | 0.0281932i | 0.147949 | − | 0.0115098i | ||||
\(7\) | 4.12414i | 1.55878i | 0.626540 | + | 0.779389i | \(0.284470\pi\) | ||||
−0.626540 | + | 0.779389i | \(0.715530\pi\) | |||||||
\(8\) | −2.79240 | − | 0.450008i | −0.987262 | − | 0.159102i | ||||
\(9\) | 2.07461 | + | 2.07461i | 0.691535 | + | 0.691535i | ||||
\(10\) | 3.07876 | + | 0.721985i | 0.973588 | + | 0.228312i | ||||
\(11\) | 0.648455 | − | 1.56551i | 0.195517 | − | 0.472019i | −0.795468 | − | 0.605996i | \(-0.792775\pi\) |
0.990984 | + | 0.133977i | \(0.0427748\pi\) | |||||||
\(12\) | 0.267805 | + | 0.438790i | 0.0773088 | + | 0.126668i | ||||
\(13\) | 0.641689 | − | 1.54917i | 0.177972 | − | 0.429664i | −0.809569 | − | 0.587025i | \(-0.800299\pi\) |
0.987541 | + | 0.157362i | \(0.0502989\pi\) | |||||||
\(14\) | −5.19910 | + | 2.64318i | −1.38952 | + | 0.706420i | ||||
\(15\) | −0.264083 | − | 0.510472i | −0.0681858 | − | 0.131803i | ||||
\(16\) | −1.22236 | − | 3.80865i | −0.305590 | − | 0.952163i | ||||
\(17\) | −4.72586 | − | 4.72586i | −1.14619 | − | 1.14619i | −0.987296 | − | 0.158893i | \(-0.949208\pi\) |
−0.158893 | − | 0.987296i | \(-0.550792\pi\) | |||||||
\(18\) | −1.28573 | + | 3.94498i | −0.303049 | + | 0.929840i | ||||
\(19\) | −0.413548 | − | 0.998394i | −0.0948745 | − | 0.229047i | 0.869317 | − | 0.494256i | \(-0.164559\pi\) |
−0.964191 | + | 0.265208i | \(0.914559\pi\) | |||||||
\(20\) | 1.06302 | + | 4.34396i | 0.237698 | + | 0.971339i | ||||
\(21\) | 0.979336 | + | 0.405654i | 0.213709 | + | 0.0885210i | ||||
\(22\) | 2.38916 | − | 0.185866i | 0.509370 | − | 0.0396269i | ||||
\(23\) | 0.650047i | 0.135544i | 0.997701 | + | 0.0677720i | \(0.0215891\pi\) | ||||
−0.997701 | + | 0.0677720i | \(0.978411\pi\) | |||||||
\(24\) | −0.381524 | + | 0.618832i | −0.0778782 | + | 0.126319i | ||||
\(25\) | −0.843118 | − | 4.92840i | −0.168624 | − | 0.985681i | ||||
\(26\) | 2.36423 | − | 0.183927i | 0.463664 | − | 0.0360711i | ||||
\(27\) | 1.40910 | − | 0.583668i | 0.271181 | − | 0.112327i | ||||
\(28\) | −6.66426 | − | 4.86023i | −1.25943 | − | 0.918496i | ||||
\(29\) | −1.40538 | − | 3.39288i | −0.260972 | − | 0.630043i | 0.738027 | − | 0.674771i | \(-0.235758\pi\) |
−0.998999 | + | 0.0447286i | \(0.985758\pi\) | |||||||
\(30\) | 0.474275 | − | 0.660080i | 0.0865904 | − | 0.120514i | ||||
\(31\) | − | 1.22685i | − | 0.220349i | −0.993912 | − | 0.110175i | \(-0.964859\pi\) | ||
0.993912 | − | 0.110175i | \(-0.0351410\pi\) | |||||||
\(32\) | 4.01797 | − | 3.98195i | 0.710283 | − | 0.703916i | ||||
\(33\) | −0.307970 | − | 0.307970i | −0.0536107 | − | 0.0536107i | ||||
\(34\) | 2.92883 | − | 8.98648i | 0.502291 | − | 1.54117i | ||||
\(35\) | 7.04921 | + | 5.94569i | 1.19153 | + | 1.00500i | ||||
\(36\) | −5.79727 | + | 0.907499i | −0.966212 | + | 0.151250i | ||||
\(37\) | 2.14788 | + | 5.18545i | 0.353110 | + | 0.852483i | 0.996233 | + | 0.0867199i | \(0.0276385\pi\) |
−0.643123 | + | 0.765763i | \(0.722361\pi\) | |||||||
\(38\) | 0.993581 | − | 1.16122i | 0.161180 | − | 0.188374i | ||||
\(39\) | −0.304756 | − | 0.304756i | −0.0488001 | − | 0.0488001i | ||||
\(40\) | −4.79493 | + | 4.12416i | −0.758144 | + | 0.652087i | ||||
\(41\) | 6.54457 | − | 6.54457i | 1.02209 | − | 1.02209i | 0.0223401 | − | 0.999750i | \(-0.492888\pi\) |
0.999750 | − | 0.0223401i | \(-0.00711167\pi\) | |||||||
\(42\) | 0.116273 | + | 1.49459i | 0.0179412 | + | 0.230620i | ||||
\(43\) | −6.89471 | + | 2.85588i | −1.05143 | + | 0.435518i | −0.840403 | − | 0.541962i | \(-0.817682\pi\) |
−0.211030 | + | 0.977480i | \(0.567682\pi\) | |||||||
\(44\) | 1.76554 | + | 2.89277i | 0.266165 | + | 0.436102i | ||||
\(45\) | 6.53695 | − | 0.555116i | 0.974471 | − | 0.0827519i | ||||
\(46\) | −0.819482 | + | 0.416618i | −0.120826 | + | 0.0614270i | ||||
\(47\) | −6.12116 | + | 6.12116i | −0.892863 | + | 0.892863i | −0.994792 | − | 0.101929i | \(-0.967499\pi\) |
0.101929 | + | 0.994792i | \(0.467499\pi\) | |||||||
\(48\) | −1.02465 | − | 0.0843562i | −0.147896 | − | 0.0121758i | ||||
\(49\) | −10.0085 | −1.42979 | ||||||||
\(50\) | 5.67264 | − | 4.22151i | 0.802232 | − | 0.597012i | ||||
\(51\) | −1.58706 | + | 0.657383i | −0.222233 | + | 0.0920520i | ||||
\(52\) | 1.74711 | + | 2.86259i | 0.242281 | + | 0.396970i | ||||
\(53\) | 3.72357 | + | 8.98950i | 0.511472 | + | 1.23480i | 0.943027 | + | 0.332716i | \(0.107965\pi\) |
−0.431555 | + | 0.902087i | \(0.642035\pi\) | |||||||
\(54\) | 1.63890 | + | 1.40231i | 0.223026 | + | 0.190830i | ||||
\(55\) | −1.74099 | − | 3.36534i | −0.234755 | − | 0.453782i | ||||
\(56\) | 1.85590 | − | 11.5162i | 0.248005 | − | 1.53892i | ||||
\(57\) | −0.277760 | −0.0367902 | ||||||||
\(58\) | 3.37653 | − | 3.94621i | 0.443360 | − | 0.518162i | ||||
\(59\) | 5.15691 | − | 12.4499i | 0.671372 | − | 1.62084i | −0.107908 | − | 0.994161i | \(-0.534415\pi\) |
0.779280 | − | 0.626676i | \(-0.215585\pi\) | |||||||
\(60\) | 1.13610 | + | 0.174847i | 0.146669 | + | 0.0225727i | ||||
\(61\) | 0.373056 | − | 0.154525i | 0.0477650 | − | 0.0197849i | −0.358673 | − | 0.933463i | \(-0.616771\pi\) |
0.406438 | + | 0.913678i | \(0.366771\pi\) | |||||||
\(62\) | 1.54663 | − | 0.786295i | 0.196423 | − | 0.0998596i | ||||
\(63\) | −8.55596 | + | 8.55596i | −1.07795 | + | 1.07795i | ||||
\(64\) | 7.59499 | + | 2.51320i | 0.949373 | + | 0.314151i | ||||
\(65\) | −1.72283 | − | 3.33022i | −0.213690 | − | 0.413063i | ||||
\(66\) | 0.190863 | − | 0.585622i | 0.0234937 | − | 0.0720851i | ||||
\(67\) | −10.2628 | − | 4.25100i | −1.25380 | − | 0.519342i | −0.345801 | − | 0.938308i | \(-0.612393\pi\) |
−0.908002 | + | 0.418965i | \(0.862393\pi\) | |||||||
\(68\) | 13.2059 | − | 2.06724i | 1.60145 | − | 0.250690i | ||||
\(69\) | 0.154363 | + | 0.0639392i | 0.0185831 | + | 0.00769738i | ||||
\(70\) | −2.97757 | + | 12.6972i | −0.355887 | + | 1.51761i | ||||
\(71\) | −2.53418 | + | 2.53418i | −0.300752 | + | 0.300752i | −0.841308 | − | 0.540556i | \(-0.818214\pi\) |
0.540556 | + | 0.841308i | \(0.318214\pi\) | |||||||
\(72\) | −4.85954 | − | 6.72672i | −0.572702 | − | 0.792751i | ||||
\(73\) | −5.66366 | −0.662881 | −0.331441 | − | 0.943476i | \(-0.607535\pi\) | ||||
−0.331441 | + | 0.943476i | \(0.607535\pi\) | |||||||
\(74\) | −5.16046 | + | 6.03111i | −0.599891 | + | 0.701103i | ||||
\(75\) | −1.25325 | − | 0.284552i | −0.144713 | − | 0.0328572i | ||||
\(76\) | 2.10068 | + | 0.508331i | 0.240964 | + | 0.0583096i | ||||
\(77\) | 6.45638 | + | 2.67432i | 0.735773 | + | 0.304767i | ||||
\(78\) | 0.188872 | − | 0.579511i | 0.0213855 | − | 0.0656168i | ||||
\(79\) | 11.8936i | 1.33814i | 0.743200 | + | 0.669069i | \(0.233307\pi\) | ||||
−0.743200 | + | 0.669069i | \(0.766693\pi\) | |||||||
\(80\) | −8.27222 | − | 3.40153i | −0.924862 | − | 0.380303i | ||||
\(81\) | 8.40979i | 0.934421i | ||||||||
\(82\) | 12.4449 | + | 4.05598i | 1.37431 | + | 0.447908i | ||||
\(83\) | 15.6367 | + | 6.47691i | 1.71635 | + | 0.710934i | 0.999912 | + | 0.0132782i | \(0.00422671\pi\) |
0.716434 | + | 0.697655i | \(0.245773\pi\) | |||||||
\(84\) | −1.80963 | + | 1.10447i | −0.197447 | + | 0.120507i | ||||
\(85\) | −14.8909 | + | 1.26453i | −1.61514 | + | 0.137158i | ||||
\(86\) | −8.01912 | − | 6.86147i | −0.864724 | − | 0.739892i | ||||
\(87\) | −0.943923 | −0.101199 | ||||||||
\(88\) | −2.51524 | + | 4.07972i | −0.268125 | + | 0.434899i | ||||
\(89\) | −6.18006 | + | 6.18006i | −0.655085 | + | 0.655085i | −0.954213 | − | 0.299128i | \(-0.903304\pi\) |
0.299128 | + | 0.954213i | \(0.403304\pi\) | |||||||
\(90\) | 4.88937 | + | 7.88504i | 0.515385 | + | 0.831156i | ||||
\(91\) | 6.38901 | + | 2.64641i | 0.669750 | + | 0.277420i | ||||
\(92\) | −1.05042 | − | 0.766068i | −0.109514 | − | 0.0798681i | ||||
\(93\) | −0.291334 | − | 0.120674i | −0.0302099 | − | 0.0125133i | ||||
\(94\) | −11.6397 | − | 3.79357i | −1.20055 | − | 0.391276i | ||||
\(95\) | −2.30272 | − | 0.732504i | −0.236254 | − | 0.0751533i | ||||
\(96\) | −0.550360 | − | 1.34579i | −0.0561709 | − | 0.137354i | ||||
\(97\) | 0.138522 | − | 0.138522i | 0.0140647 | − | 0.0140647i | −0.700039 | − | 0.714104i | \(-0.746834\pi\) |
0.714104 | + | 0.700039i | \(0.246834\pi\) | |||||||
\(98\) | −6.41451 | − | 12.6173i | −0.647963 | − | 1.27454i | ||||
\(99\) | 4.59310 | − | 1.90253i | 0.461624 | − | 0.191211i | ||||
\(100\) | 8.95748 | + | 4.44563i | 0.895748 | + | 0.444563i | ||||
\(101\) | −3.42504 | + | 8.26878i | −0.340804 | + | 0.822775i | 0.656830 | + | 0.754038i | \(0.271897\pi\) |
−0.997635 | + | 0.0687364i | \(0.978103\pi\) | |||||||
\(102\) | −1.84589 | − | 1.57941i | −0.182770 | − | 0.156385i | ||||
\(103\) | 7.40468 | 0.729605 | 0.364802 | − | 0.931085i | \(-0.381137\pi\) | ||||
0.364802 | + | 0.931085i | \(0.381137\pi\) | |||||||
\(104\) | −2.48899 | + | 4.03715i | −0.244066 | + | 0.395875i | ||||
\(105\) | 2.10526 | − | 1.08911i | 0.205452 | − | 0.106287i | ||||
\(106\) | −8.94617 | + | 10.4555i | −0.868928 | + | 1.01553i | ||||
\(107\) | −3.73389 | − | 9.01441i | −0.360969 | − | 0.871456i | −0.995159 | − | 0.0982786i | \(-0.968666\pi\) |
0.634190 | − | 0.773177i | \(-0.281334\pi\) | |||||||
\(108\) | −0.717441 | + | 2.96482i | −0.0690358 | + | 0.285290i | ||||
\(109\) | 3.31048 | − | 1.37124i | 0.317086 | − | 0.131341i | −0.218463 | − | 0.975845i | \(-0.570104\pi\) |
0.535550 | + | 0.844504i | \(0.320104\pi\) | |||||||
\(110\) | 3.12671 | − | 4.35165i | 0.298120 | − | 0.414913i | ||||
\(111\) | 1.44263 | 0.136928 | ||||||||
\(112\) | 15.7074 | − | 5.04118i | 1.48421 | − | 0.476346i | ||||
\(113\) | 4.07143 | − | 4.07143i | 0.383008 | − | 0.383008i | −0.489177 | − | 0.872185i | \(-0.662703\pi\) |
0.872185 | + | 0.489177i | \(0.162703\pi\) | |||||||
\(114\) | −0.178018 | − | 0.350158i | −0.0166729 | − | 0.0327953i | ||||
\(115\) | 1.11110 | + | 0.937159i | 0.103610 | + | 0.0873905i | ||||
\(116\) | 7.13882 | + | 1.72748i | 0.662823 | + | 0.160393i | ||||
\(117\) | 4.54518 | − | 1.88267i | 0.420202 | − | 0.174053i | ||||
\(118\) | 19.0000 | − | 1.47812i | 1.74910 | − | 0.136072i | ||||
\(119\) | 19.4901 | − | 19.4901i | 1.78665 | − | 1.78665i | ||||
\(120\) | 0.507707 | + | 1.54428i | 0.0463471 | + | 0.140973i | ||||
\(121\) | 5.74785 | + | 5.74785i | 0.522532 | + | 0.522532i | ||||
\(122\) | 0.433896 | + | 0.371258i | 0.0392831 | + | 0.0336121i | ||||
\(123\) | −0.910372 | − | 2.19783i | −0.0820855 | − | 0.198172i | ||||
\(124\) | 1.98249 | + | 1.44582i | 0.178033 | + | 0.129839i | ||||
\(125\) | −9.63941 | − | 5.66408i | −0.862175 | − | 0.506610i | ||||
\(126\) | −16.2696 | − | 5.30253i | −1.44941 | − | 0.472387i | ||||
\(127\) | −7.75203 | − | 7.75203i | −0.687882 | − | 0.687882i | 0.273882 | − | 0.961763i | \(-0.411692\pi\) |
−0.961763 | + | 0.273882i | \(0.911692\pi\) | |||||||
\(128\) | 1.69939 | + | 11.1854i | 0.150206 | + | 0.988655i | ||||
\(129\) | 1.91815i | 0.168884i | ||||||||
\(130\) | 3.09408 | − | 4.30624i | 0.271369 | − | 0.377682i | ||||
\(131\) | −0.787294 | − | 1.90070i | −0.0687862 | − | 0.166065i | 0.885748 | − | 0.464167i | \(-0.153646\pi\) |
−0.954534 | + | 0.298102i | \(0.903646\pi\) | |||||||
\(132\) | 0.860590 | − | 0.134716i | 0.0749048 | − | 0.0117255i | ||||
\(133\) | 4.11751 | − | 1.70553i | 0.357034 | − | 0.147888i | ||||
\(134\) | −1.21846 | − | 15.6623i | −0.105259 | − | 1.35302i | ||||
\(135\) | 1.03383 | − | 3.24997i | 0.0889780 | − | 0.279713i | ||||
\(136\) | 11.0698 | + | 15.3232i | 0.949228 | + | 1.31395i | ||||
\(137\) | 19.4309i | 1.66009i | 0.557696 | + | 0.830045i | \(0.311685\pi\) | ||||
−0.557696 | + | 0.830045i | \(0.688315\pi\) | |||||||
\(138\) | 0.0183269 | + | 0.235577i | 0.00156009 | + | 0.0200536i | ||||
\(139\) | −13.7210 | − | 5.68342i | −1.16380 | − | 0.482061i | −0.284661 | − | 0.958628i | \(-0.591881\pi\) |
−0.879138 | + | 0.476567i | \(0.841881\pi\) | |||||||
\(140\) | −17.9151 | + | 4.38403i | −1.51410 | + | 0.370519i | ||||
\(141\) | 0.851474 | + | 2.05564i | 0.0717070 | + | 0.173116i | ||||
\(142\) | −4.81889 | − | 1.57055i | −0.404392 | − | 0.131798i | ||||
\(143\) | −2.00914 | − | 2.00914i | −0.168013 | − | 0.168013i | ||||
\(144\) | 5.36554 | − | 10.4374i | 0.447129 | − | 0.869781i | ||||
\(145\) | −7.82541 | − | 2.48930i | −0.649865 | − | 0.206725i | ||||
\(146\) | −3.62987 | − | 7.13990i | −0.300410 | − | 0.590902i | ||||
\(147\) | −0.984448 | + | 2.37667i | −0.0811959 | + | 0.196024i | ||||
\(148\) | −10.9105 | − | 2.64017i | −0.896837 | − | 0.217020i | ||||
\(149\) | −0.750543 | + | 1.81197i | −0.0614869 | + | 0.148442i | −0.951637 | − | 0.307225i | \(-0.900599\pi\) |
0.890150 | + | 0.455668i | \(0.150599\pi\) | |||||||
\(150\) | −0.444493 | − | 1.76228i | −0.0362927 | − | 0.143890i | ||||
\(151\) | −3.75531 | − | 3.75531i | −0.305603 | − | 0.305603i | 0.537598 | − | 0.843201i | \(-0.319332\pi\) |
−0.843201 | + | 0.537598i | \(0.819332\pi\) | |||||||
\(152\) | 0.705506 | + | 2.97401i | 0.0572241 | + | 0.241224i | ||||
\(153\) | − | 19.6086i | − | 1.58526i | ||||||
\(154\) | 0.766539 | + | 9.85323i | 0.0617695 | + | 0.793996i | ||||
\(155\) | −2.09701 | − | 1.76873i | −0.168436 | − | 0.142068i | ||||
\(156\) | 0.851611 | − | 0.133310i | 0.0681834 | − | 0.0106734i | ||||
\(157\) | 2.91986 | − | 7.04915i | 0.233030 | − | 0.562584i | −0.763501 | − | 0.645806i | \(-0.776521\pi\) |
0.996531 | + | 0.0832227i | \(0.0265213\pi\) | |||||||
\(158\) | −14.9937 | + | 7.62268i | −1.19284 | + | 0.606428i | ||||
\(159\) | 2.50094 | 0.198337 | ||||||||
\(160\) | −1.01355 | − | 12.6084i | −0.0801284 | − | 0.996785i | ||||
\(161\) | −2.68088 | −0.211283 | ||||||||
\(162\) | −10.6018 | + | 5.38987i | −0.832957 | + | 0.423468i | ||||
\(163\) | 4.23448 | − | 10.2229i | 0.331670 | − | 0.800723i | −0.666790 | − | 0.745246i | \(-0.732332\pi\) |
0.998460 | − | 0.0554768i | \(-0.0176679\pi\) | |||||||
\(164\) | 2.86281 | + | 18.2881i | 0.223548 | + | 1.42806i | ||||
\(165\) | −0.970394 | + | 0.0824056i | −0.0755451 | + | 0.00641527i | ||||
\(166\) | 1.85648 | + | 23.8634i | 0.144090 | + | 1.85216i | ||||
\(167\) | − | 5.68173i | − | 0.439666i | −0.975538 | − | 0.219833i | \(-0.929449\pi\) | ||
0.975538 | − | 0.219833i | \(-0.0705512\pi\) | |||||||
\(168\) | −2.55215 | − | 1.57346i | −0.196903 | − | 0.121395i | ||||
\(169\) | 7.20421 | + | 7.20421i | 0.554170 | + | 0.554170i | ||||
\(170\) | −11.1378 | − | 17.9618i | −0.854228 | − | 1.37760i | ||||
\(171\) | 1.21332 | − | 2.92922i | 0.0927852 | − | 0.224003i | ||||
\(172\) | 3.51043 | − | 14.5069i | 0.267668 | − | 1.10614i | ||||
\(173\) | −2.88514 | + | 6.96534i | −0.219353 | + | 0.529565i | −0.994800 | − | 0.101848i | \(-0.967525\pi\) |
0.775447 | + | 0.631413i | \(0.217525\pi\) | |||||||
\(174\) | −0.604965 | − | 1.18996i | −0.0458623 | − | 0.0902105i | ||||
\(175\) | 20.3254 | − | 3.47713i | 1.53646 | − | 0.262847i | ||||
\(176\) | −6.75513 | − | 0.556127i | −0.509187 | − | 0.0419197i | ||||
\(177\) | −2.44916 | − | 2.44916i | −0.184090 | − | 0.184090i | ||||
\(178\) | −11.7517 | − | 3.83007i | −0.880829 | − | 0.287076i | ||||
\(179\) | 4.28195 | + | 10.3375i | 0.320048 | + | 0.772664i | 0.999250 | + | 0.0387130i | \(0.0123258\pi\) |
−0.679202 | + | 0.733951i | \(0.737674\pi\) | |||||||
\(180\) | −6.80666 | + | 11.2173i | −0.507339 | + | 0.836092i | ||||
\(181\) | 10.6335 | + | 4.40455i | 0.790383 | + | 0.327387i | 0.741098 | − | 0.671397i | \(-0.234306\pi\) |
0.0492855 | + | 0.998785i | \(0.484306\pi\) | |||||||
\(182\) | 0.758541 | + | 9.75041i | 0.0562268 | + | 0.722749i | ||||
\(183\) | − | 0.103787i | − | 0.00767214i | ||||||
\(184\) | 0.292526 | − | 1.81519i | 0.0215653 | − | 0.133818i | ||||
\(185\) | 11.9598 | + | 3.80448i | 0.879304 | + | 0.279711i | ||||
\(186\) | −0.0345888 | − | 0.444611i | −0.00253618 | − | 0.0326004i | ||||
\(187\) | −10.4629 | + | 4.33387i | −0.765122 | + | 0.316924i | ||||
\(188\) | −2.67759 | − | 17.1049i | −0.195283 | − | 1.24751i | ||||
\(189\) | 2.40713 | + | 5.81132i | 0.175093 | + | 0.422711i | ||||
\(190\) | −0.552389 | − | 3.37239i | −0.0400745 | − | 0.244659i | ||||
\(191\) | − | 23.5765i | − | 1.70594i | −0.521962 | − | 0.852969i | \(-0.674800\pi\) | ||
0.521962 | − | 0.852969i | \(-0.325200\pi\) | |||||||
\(192\) | 1.34385 | − | 1.55634i | 0.0969838 | − | 0.112319i | ||||
\(193\) | −3.31149 | − | 3.31149i | −0.238366 | − | 0.238366i | 0.577807 | − | 0.816173i | \(-0.303909\pi\) |
−0.816173 | + | 0.577807i | \(0.803909\pi\) | |||||||
\(194\) | 0.263407 | + | 0.0858483i | 0.0189115 | + | 0.00616355i | ||||
\(195\) | −0.960268 | + | 0.0815458i | −0.0687663 | + | 0.00583961i | ||||
\(196\) | 11.7949 | − | 16.1729i | 0.842491 | − | 1.15521i | ||||
\(197\) | −4.19561 | − | 10.1291i | −0.298925 | − | 0.721668i | −0.999963 | − | 0.00854507i | \(-0.997280\pi\) |
0.701039 | − | 0.713123i | \(-0.252720\pi\) | |||||||
\(198\) | 5.34216 | + | 4.57096i | 0.379651 | + | 0.324844i | ||||
\(199\) | 12.7775 | + | 12.7775i | 0.905774 | + | 0.905774i | 0.995928 | − | 0.0901534i | \(-0.0287357\pi\) |
−0.0901534 | + | 0.995928i | \(0.528736\pi\) | |||||||
\(200\) | 0.136500 | + | 14.1415i | 0.00965198 | + | 0.999953i | ||||
\(201\) | −2.01892 | + | 2.01892i | −0.142404 | + | 0.142404i | ||||
\(202\) | −12.6192 | + | 0.981719i | −0.887882 | + | 0.0690735i | ||||
\(203\) | 13.9927 | − | 5.79598i | 0.982097 | − | 0.406798i | ||||
\(204\) | 0.808051 | − | 3.33927i | 0.0565749 | − | 0.233796i | ||||
\(205\) | −1.75118 | − | 20.6215i | −0.122307 | − | 1.44027i | ||||
\(206\) | 4.74569 | + | 9.33472i | 0.330648 | + | 0.650381i | ||||
\(207\) | −1.34859 | + | 1.34859i | −0.0937335 | + | 0.0937335i | ||||
\(208\) | −6.68464 | − | 0.550325i | −0.463496 | − | 0.0381581i | ||||
\(209\) | −1.83116 | −0.126664 | ||||||||
\(210\) | 2.72226 | + | 1.95598i | 0.187854 | + | 0.134975i | ||||
\(211\) | −12.5762 | + | 5.20922i | −0.865780 | + | 0.358618i | −0.770965 | − | 0.636877i | \(-0.780226\pi\) |
−0.0948144 | + | 0.995495i | \(0.530226\pi\) | |||||||
\(212\) | −18.9144 | − | 4.57699i | −1.29905 | − | 0.314349i | ||||
\(213\) | 0.352513 | + | 0.851042i | 0.0241538 | + | 0.0583124i | ||||
\(214\) | 8.97095 | − | 10.4845i | 0.613242 | − | 0.716706i | ||||
\(215\) | −5.05853 | + | 15.9021i | −0.344989 | + | 1.08451i | ||||
\(216\) | −4.19742 | + | 0.995727i | −0.285598 | + | 0.0677507i | ||||
\(217\) | 5.05971 | 0.343475 | ||||||||
\(218\) | 3.85036 | + | 3.29452i | 0.260779 | + | 0.223133i | ||||
\(219\) | −0.557083 | + | 1.34492i | −0.0376442 | + | 0.0908811i | ||||
\(220\) | 7.48983 | + | 1.15270i | 0.504964 | + | 0.0777150i | ||||
\(221\) | −10.3537 | + | 4.28865i | −0.696466 | + | 0.288486i | ||||
\(222\) | 0.924587 | + | 1.81865i | 0.0620542 | + | 0.122060i | ||||
\(223\) | −14.7815 | + | 14.7815i | −0.989844 | + | 0.989844i | −0.999949 | − | 0.0101049i | \(-0.996783\pi\) |
0.0101049 | + | 0.999949i | \(0.496783\pi\) | |||||||
\(224\) | 16.4221 | + | 16.5707i | 1.09725 | + | 1.10717i | ||||
\(225\) | 8.47536 | − | 11.9736i | 0.565024 | − | 0.798242i | ||||
\(226\) | 7.74206 | + | 2.52326i | 0.514994 | + | 0.167844i | ||||
\(227\) | 15.1344 | + | 6.26888i | 1.00451 | + | 0.416080i | 0.823448 | − | 0.567392i | \(-0.192048\pi\) |
0.181059 | + | 0.983472i | \(0.442048\pi\) | |||||||
\(228\) | 0.327335 | − | 0.448836i | 0.0216783 | − | 0.0297249i | ||||
\(229\) | 0.547116 | + | 0.226623i | 0.0361545 | + | 0.0149757i | 0.400687 | − | 0.916215i | \(-0.368771\pi\) |
−0.364533 | + | 0.931190i | \(0.618771\pi\) | |||||||
\(230\) | −0.469324 | + | 2.00133i | −0.0309463 | + | 0.131964i | ||||
\(231\) | 1.27011 | − | 1.27011i | 0.0835672 | − | 0.0835672i | ||||
\(232\) | 2.39755 | + | 10.1067i | 0.157407 | + | 0.663538i | ||||
\(233\) | −2.46903 | −0.161751 | −0.0808756 | − | 0.996724i | \(-0.525772\pi\) | ||||
−0.0808756 | + | 0.996724i | \(0.525772\pi\) | |||||||
\(234\) | 5.28642 | + | 4.52327i | 0.345584 | + | 0.295695i | ||||
\(235\) | 1.63788 | + | 19.2874i | 0.106843 | + | 1.25817i | ||||
\(236\) | 14.0406 | + | 23.0051i | 0.913966 | + | 1.49750i | ||||
\(237\) | 2.82431 | + | 1.16987i | 0.183459 | + | 0.0759912i | ||||
\(238\) | 37.0615 | + | 12.0789i | 2.40234 | + | 0.782960i | ||||
\(239\) | − | 20.9501i | − | 1.35515i | −0.735453 | − | 0.677576i | \(-0.763030\pi\) | ||
0.735453 | − | 0.677576i | \(-0.236970\pi\) | |||||||
\(240\) | −1.62141 | + | 1.62978i | −0.104661 | + | 0.105202i | ||||
\(241\) | 18.1090i | 1.16650i | 0.812291 | + | 0.583252i | \(0.198220\pi\) | ||||
−0.812291 | + | 0.583252i | \(0.801780\pi\) | |||||||
\(242\) | −3.56221 | + | 10.9299i | −0.228987 | + | 0.702598i | ||||
\(243\) | 6.22432 | + | 2.57820i | 0.399290 | + | 0.165391i | ||||
\(244\) | −0.189941 | + | 0.784932i | −0.0121597 | + | 0.0502501i | ||||
\(245\) | −14.4291 | + | 17.1071i | −0.921841 | + | 1.09294i | ||||
\(246\) | 2.18724 | − | 2.55626i | 0.139453 | − | 0.162981i | ||||
\(247\) | −1.81205 | −0.115298 | ||||||||
\(248\) | −0.552093 | + | 3.42586i | −0.0350580 | + | 0.217542i | ||||
\(249\) | 3.07607 | − | 3.07607i | 0.194938 | − | 0.194938i | ||||
\(250\) | 0.962479 | − | 15.7821i | 0.0608725 | − | 0.998146i | ||||
\(251\) | −2.97957 | − | 1.23418i | −0.188069 | − | 0.0779007i | 0.286662 | − | 0.958032i | \(-0.407454\pi\) |
−0.474731 | + | 0.880131i | \(0.657454\pi\) | |||||||
\(252\) | −3.74265 | − | 23.9088i | −0.235765 | − | 1.50611i | ||||
\(253\) | 1.01765 | + | 0.421526i | 0.0639794 | + | 0.0265011i | ||||
\(254\) | 4.80430 | − | 14.7409i | 0.301448 | − | 0.924928i | ||||
\(255\) | −1.16440 | + | 3.66043i | −0.0729176 | + | 0.229225i | ||||
\(256\) | −13.0117 | + | 9.31108i | −0.813230 | + | 0.581942i | ||||
\(257\) | 2.61533 | − | 2.61533i | 0.163140 | − | 0.163140i | −0.620816 | − | 0.783956i | \(-0.713199\pi\) |
0.783956 | + | 0.620816i | \(0.213199\pi\) | |||||||
\(258\) | −2.41812 | + | 1.22935i | −0.150546 | + | 0.0765362i | ||||
\(259\) | −21.3855 | + | 8.85818i | −1.32883 | + | 0.550420i | ||||
\(260\) | 7.41168 | + | 1.14067i | 0.459653 | + | 0.0707414i | ||||
\(261\) | 4.12329 | − | 9.95450i | 0.255225 | − | 0.616168i | ||||
\(262\) | 1.89153 | − | 2.21067i | 0.116859 | − | 0.136576i | ||||
\(263\) | −14.1955 | −0.875334 | −0.437667 | − | 0.899137i | \(-0.644195\pi\) | ||||
−0.437667 | + | 0.899137i | \(0.644195\pi\) | |||||||
\(264\) | 0.721386 | + | 0.998564i | 0.0443983 | + | 0.0614574i | ||||
\(265\) | 20.7336 | + | 6.59544i | 1.27365 | + | 0.405155i | ||||
\(266\) | 4.78901 | + | 4.09767i | 0.293633 | + | 0.251244i | ||||
\(267\) | 0.859667 | + | 2.07542i | 0.0526108 | + | 0.127014i | ||||
\(268\) | 18.9638 | − | 11.5741i | 1.15840 | − | 0.707002i | ||||
\(269\) | −17.1884 | + | 7.11965i | −1.04799 | + | 0.434093i | −0.839175 | − | 0.543862i | \(-0.816962\pi\) |
−0.208818 | + | 0.977955i | \(0.566962\pi\) | |||||||
\(270\) | 4.75967 | − | 0.779623i | 0.289664 | − | 0.0474463i | ||||
\(271\) | −8.34343 | −0.506827 | −0.253414 | − | 0.967358i | \(-0.581553\pi\) | ||||
−0.253414 | + | 0.967358i | \(0.581553\pi\) | |||||||
\(272\) | −12.2225 | + | 23.7758i | −0.741096 | + | 1.44162i | ||||
\(273\) | 1.25686 | − | 1.25686i | 0.0760685 | − | 0.0760685i | ||||
\(274\) | −24.4955 | + | 12.4533i | −1.47983 | + | 0.752333i | ||||
\(275\) | −8.26218 | − | 1.87594i | −0.498228 | − | 0.113123i | ||||
\(276\) | −0.285234 | + | 0.174086i | −0.0171691 | + | 0.0104787i | ||||
\(277\) | −2.98963 | + | 1.23834i | −0.179629 | + | 0.0744049i | −0.470685 | − | 0.882301i | \(-0.655993\pi\) |
0.291056 | + | 0.956706i | \(0.405993\pi\) | |||||||
\(278\) | −1.62904 | − | 20.9399i | −0.0977031 | − | 1.25589i | ||||
\(279\) | 2.54523 | − | 2.54523i | 0.152379 | − | 0.152379i | ||||
\(280\) | −17.0086 | − | 19.7749i | −1.01646 | − | 1.18178i | ||||
\(281\) | 4.07936 | + | 4.07936i | 0.243354 | + | 0.243354i | 0.818236 | − | 0.574882i | \(-0.194952\pi\) |
−0.574882 | + | 0.818236i | \(0.694952\pi\) | |||||||
\(282\) | −2.04573 | + | 2.39088i | −0.121822 | + | 0.142375i | ||||
\(283\) | −4.26219 | − | 10.2898i | −0.253361 | − | 0.611668i | 0.745110 | − | 0.666941i | \(-0.232397\pi\) |
−0.998471 | + | 0.0552736i | \(0.982397\pi\) | |||||||
\(284\) | −1.10853 | − | 7.08151i | −0.0657792 | − | 0.420210i | ||||
\(285\) | −0.400441 | + | 0.474763i | −0.0237201 | + | 0.0281225i | ||||
\(286\) | 1.24516 | − | 3.82049i | 0.0736277 | − | 0.225910i | ||||
\(287\) | 26.9907 | + | 26.9907i | 1.59321 | + | 1.59321i | ||||
\(288\) | 16.5967 | + | 0.0747201i | 0.977969 | + | 0.00440292i | ||||
\(289\) | 27.6675i | 1.62750i | ||||||||
\(290\) | −1.87721 | − | 11.4605i | −0.110233 | − | 0.672985i | ||||
\(291\) | −0.0192688 | − | 0.0465191i | −0.00112956 | − | 0.00272700i | ||||
\(292\) | 6.67452 | − | 9.15199i | 0.390597 | − | 0.535580i | ||||
\(293\) | −0.725570 | + | 0.300541i | −0.0423883 | + | 0.0175578i | −0.403777 | − | 0.914858i | \(-0.632303\pi\) |
0.361389 | + | 0.932415i | \(0.382303\pi\) | |||||||
\(294\) | −3.62709 | + | 0.282172i | −0.211536 | + | 0.0164566i | ||||
\(295\) | −13.8454 | − | 26.7632i | −0.806112 | − | 1.55822i | ||||
\(296\) | −3.66426 | − | 15.4464i | −0.212981 | − | 0.897805i | ||||
\(297\) | − | 2.58444i | − | 0.149964i | ||||||
\(298\) | −2.76529 | + | 0.215128i | −0.160189 | + | 0.0124620i | ||||
\(299\) | 1.00704 | + | 0.417128i | 0.0582383 | + | 0.0241231i | ||||
\(300\) | 1.93674 | − | 1.68980i | 0.111818 | − | 0.0975609i | ||||
\(301\) | −11.7781 | − | 28.4347i | −0.678876 | − | 1.63895i | ||||
\(302\) | 2.32734 | − | 7.14093i | 0.133923 | − | 0.410915i | ||||
\(303\) | 1.62665 | + | 1.62665i | 0.0934487 | + | 0.0934487i | ||||
\(304\) | −3.29703 | + | 2.79546i | −0.189098 | + | 0.160330i | ||||
\(305\) | 0.273705 | − | 0.860425i | 0.0156723 | − | 0.0492678i | ||||
\(306\) | 24.7196 | − | 12.5672i | 1.41312 | − | 0.718421i | ||||
\(307\) | 4.10155 | − | 9.90202i | 0.234088 | − | 0.565138i | −0.762563 | − | 0.646914i | \(-0.776059\pi\) |
0.996651 | + | 0.0817758i | \(0.0260592\pi\) | |||||||
\(308\) | −11.9302 | + | 7.28132i | −0.679786 | + | 0.414892i | ||||
\(309\) | 0.728331 | − | 1.75835i | 0.0414333 | − | 0.100029i | ||||
\(310\) | 0.885769 | − | 3.77718i | 0.0503083 | − | 0.214529i | ||||
\(311\) | 18.0584 | + | 18.0584i | 1.02400 | + | 1.02400i | 0.999705 | + | 0.0242933i | \(0.00773356\pi\) |
0.0242933 | + | 0.999705i | \(0.492266\pi\) | |||||||
\(312\) | 0.713859 | + | 0.988145i | 0.0404143 | + | 0.0559427i | ||||
\(313\) | − | 1.18689i | − | 0.0670870i | −0.999437 | − | 0.0335435i | \(-0.989321\pi\) | ||
0.999437 | − | 0.0335435i | \(-0.0106792\pi\) | |||||||
\(314\) | 10.7579 | − | 0.836917i | 0.607102 | − | 0.0472300i | ||||
\(315\) | 2.28938 | + | 26.9593i | 0.128992 | + | 1.51898i | ||||
\(316\) | −19.2191 | − | 14.0164i | −1.08116 | − | 0.788486i | ||||
\(317\) | 10.5230 | − | 25.4048i | 0.591031 | − | 1.42688i | −0.291476 | − | 0.956578i | \(-0.594146\pi\) |
0.882508 | − | 0.470298i | \(-0.155854\pi\) | |||||||
\(318\) | 1.60286 | + | 3.15281i | 0.0898841 | + | 0.176801i | ||||
\(319\) | −6.22292 | −0.348416 | ||||||||
\(320\) | 15.2453 | − | 9.35854i | 0.852235 | − | 0.523159i | ||||
\(321\) | −2.50787 | −0.139976 | ||||||||
\(322\) | −1.71819 | − | 3.37966i | −0.0957510 | − | 0.188341i | ||||
\(323\) | −2.76390 | + | 6.67264i | −0.153787 | + | 0.371275i | ||||
\(324\) | −13.5895 | − | 9.91079i | −0.754972 | − | 0.550599i | ||||
\(325\) | −8.17597 | − | 1.85637i | −0.453521 | − | 0.102973i | ||||
\(326\) | 15.6015 | − | 1.21373i | 0.864085 | − | 0.0672222i | ||||
\(327\) | − | 0.920997i | − | 0.0509313i | ||||||
\(328\) | −21.2202 | + | 15.3299i | −1.17169 | + | 0.846455i | ||||
\(329\) | −25.2445 | − | 25.2445i | −1.39177 | − | 1.39177i | ||||
\(330\) | −0.725815 | − | 1.17051i | −0.0399548 | − | 0.0644347i | ||||
\(331\) | −7.31472 | + | 17.6593i | −0.402053 | + | 0.970643i | 0.585114 | + | 0.810951i | \(0.301050\pi\) |
−0.987167 | + | 0.159691i | \(0.948950\pi\) | |||||||
\(332\) | −28.8937 | + | 17.6346i | −1.58575 | + | 0.967822i | ||||
\(333\) | −6.30176 | + | 15.2138i | −0.345334 | + | 0.833710i | ||||
\(334\) | 7.16268 | − | 3.64145i | 0.391925 | − | 0.199251i | ||||
\(335\) | −22.0618 | + | 11.4132i | −1.20536 | + | 0.623571i | ||||
\(336\) | 0.347897 | − | 4.22581i | 0.0189793 | − | 0.230537i | ||||
\(337\) | 11.9699 | + | 11.9699i | 0.652040 | + | 0.652040i | 0.953484 | − | 0.301444i | \(-0.0974686\pi\) |
−0.301444 | + | 0.953484i | \(0.597469\pi\) | |||||||
\(338\) | −4.46479 | + | 13.6992i | −0.242852 | + | 0.745139i | ||||
\(339\) | −0.566350 | − | 1.36729i | −0.0307599 | − | 0.0742610i | ||||
\(340\) | 15.5053 | − | 25.5526i | 0.840891 | − | 1.38578i | ||||
\(341\) | −1.92065 | − | 0.795559i | −0.104009 | − | 0.0430819i | ||||
\(342\) | 4.47035 | − | 0.347775i | 0.241729 | − | 0.0188055i | ||||
\(343\) | − | 12.4076i | − | 0.669946i | ||||||
\(344\) | 20.5379 | − | 4.87209i | 1.10733 | − | 0.262685i | ||||
\(345\) | 0.331830 | − | 0.171666i | 0.0178651 | − | 0.00924218i | ||||
\(346\) | −10.6300 | + | 0.826966i | −0.571470 | + | 0.0444580i | ||||
\(347\) | −9.88739 | + | 4.09549i | −0.530783 | + | 0.219858i | −0.631946 | − | 0.775012i | \(-0.717744\pi\) |
0.101163 | + | 0.994870i | \(0.467744\pi\) | |||||||
\(348\) | 1.11240 | − | 1.52530i | 0.0596307 | − | 0.0817646i | ||||
\(349\) | −8.27757 | − | 19.9838i | −0.443088 | − | 1.06971i | −0.974859 | − | 0.222821i | \(-0.928473\pi\) |
0.531771 | − | 0.846888i | \(-0.321527\pi\) | |||||||
\(350\) | 17.4101 | + | 23.3948i | 0.930610 | + | 1.25050i | ||||
\(351\) | − | 2.55747i | − | 0.136508i | ||||||
\(352\) | −3.62831 | − | 8.87228i | −0.193390 | − | 0.472894i | ||||
\(353\) | −11.7641 | − | 11.7641i | −0.626138 | − | 0.626138i | 0.320956 | − | 0.947094i | \(-0.395996\pi\) |
−0.947094 | + | 0.320956i | \(0.895996\pi\) | |||||||
\(354\) | 1.51786 | − | 4.65722i | 0.0806734 | − | 0.247529i | ||||
\(355\) | 0.678088 | + | 7.98504i | 0.0359892 | + | 0.423802i | ||||
\(356\) | −2.70336 | − | 17.2695i | −0.143278 | − | 0.915284i | ||||
\(357\) | −2.71114 | − | 6.54527i | −0.143489 | − | 0.346412i | ||||
\(358\) | −10.2877 | + | 12.0234i | −0.543722 | + | 0.635458i | ||||
\(359\) | 6.92403 | + | 6.92403i | 0.365436 | + | 0.365436i | 0.865810 | − | 0.500373i | \(-0.166804\pi\) |
−0.500373 | + | 0.865810i | \(0.666804\pi\) | |||||||
\(360\) | −18.5036 | − | 1.39157i | −0.975225 | − | 0.0733424i | ||||
\(361\) | 12.6093 | − | 12.6093i | 0.663645 | − | 0.663645i | ||||
\(362\) | 1.26247 | + | 16.2280i | 0.0663541 | + | 0.852927i | ||||
\(363\) | 1.93027 | − | 0.799545i | 0.101313 | − | 0.0419652i | ||||
\(364\) | −11.8057 | + | 7.20534i | −0.618788 | + | 0.377662i | ||||
\(365\) | −8.16518 | + | 9.68065i | −0.427385 | + | 0.506708i | ||||
\(366\) | 0.130839 | − | 0.0665175i | 0.00683906 | − | 0.00347692i | ||||
\(367\) | 21.8025 | − | 21.8025i | 1.13808 | − | 1.13808i | 0.149285 | − | 0.988794i | \(-0.452303\pi\) |
0.988794 | − | 0.149285i | \(-0.0476971\pi\) | |||||||
\(368\) | 2.47580 | − | 0.794590i | 0.129060 | − | 0.0414209i | ||||
\(369\) | 27.1548 | 1.41362 | ||||||||
\(370\) | 2.86899 | + | 17.5155i | 0.149152 | + | 0.910587i | ||||
\(371\) | −37.0739 | + | 15.3565i | −1.92478 | + | 0.797271i | ||||
\(372\) | 0.538331 | − | 0.328558i | 0.0279112 | − | 0.0170349i | ||||
\(373\) | −11.6761 | − | 28.1887i | −0.604568 | − | 1.45956i | −0.868833 | − | 0.495106i | \(-0.835129\pi\) |
0.264265 | − | 0.964450i | \(-0.414871\pi\) | |||||||
\(374\) | −12.1692 | − | 10.4124i | −0.629255 | − | 0.538415i | ||||
\(375\) | −2.29316 | + | 1.73189i | −0.118418 | + | 0.0894346i | ||||
\(376\) | 19.8473 | − | 14.3381i | 1.02355 | − | 0.739433i | ||||
\(377\) | −6.15798 | −0.317152 | ||||||||
\(378\) | −5.78331 | + | 6.75905i | −0.297461 | + | 0.347648i | ||||
\(379\) | 2.73483 | − | 6.60247i | 0.140479 | − | 0.339146i | −0.837945 | − | 0.545755i | \(-0.816243\pi\) |
0.978424 | + | 0.206609i | \(0.0662428\pi\) | |||||||
\(380\) | 3.89737 | − | 2.85775i | 0.199931 | − | 0.146599i | ||||
\(381\) | −2.60333 | + | 1.07833i | −0.133373 | + | 0.0552447i | ||||
\(382\) | 29.7218 | − | 15.1103i | 1.52070 | − | 0.773110i | ||||
\(383\) | −1.73926 | + | 1.73926i | −0.0888718 | + | 0.0888718i | −0.750145 | − | 0.661273i | \(-0.770016\pi\) |
0.661273 | + | 0.750145i | \(0.270016\pi\) | |||||||
\(384\) | 2.82328 | + | 0.696658i | 0.144075 | + | 0.0355512i | ||||
\(385\) | 13.8791 | − | 7.18010i | 0.707346 | − | 0.365932i | ||||
\(386\) | 2.05228 | − | 6.29698i | 0.104458 | − | 0.320508i | ||||
\(387\) | −20.2286 | − | 8.37897i | −1.02828 | − | 0.425927i | ||||
\(388\) | 0.0605938 | + | 0.387084i | 0.00307618 | + | 0.0196512i | ||||
\(389\) | −1.99934 | − | 0.828156i | −0.101371 | − | 0.0419892i | 0.331422 | − | 0.943483i | \(-0.392472\pi\) |
−0.432793 | + | 0.901494i | \(0.642472\pi\) | |||||||
\(390\) | −0.718241 | − | 1.15830i | −0.0363696 | − | 0.0586528i | ||||
\(391\) | 3.07203 | − | 3.07203i | 0.155359 | − | 0.155359i | ||||
\(392\) | 27.9478 | + | 4.50392i | 1.41158 | + | 0.227482i | ||||
\(393\) | −0.528787 | −0.0266738 | ||||||||
\(394\) | 10.0803 | − | 11.7810i | 0.507837 | − | 0.593517i | ||||
\(395\) | 20.3293 | + | 17.1468i | 1.02288 | + | 0.862750i | ||||
\(396\) | −2.33857 | + | 9.66416i | −0.117518 | + | 0.485642i | ||||
\(397\) | 26.8492 | + | 11.1213i | 1.34752 | + | 0.558163i | 0.935602 | − | 0.353056i | \(-0.114858\pi\) |
0.411922 | + | 0.911219i | \(0.364858\pi\) | |||||||
\(398\) | −7.91882 | + | 24.2972i | −0.396935 | + | 1.21791i | ||||
\(399\) | − | 1.14552i | − | 0.0573478i | ||||||
\(400\) | −17.7400 | + | 9.23542i | −0.886999 | + | 0.461771i | ||||
\(401\) | − | 10.9234i | − | 0.545488i | −0.962087 | − | 0.272744i | \(-0.912069\pi\) | ||
0.962087 | − | 0.272744i | \(-0.0879312\pi\) | |||||||
\(402\) | −3.83909 | − | 1.25122i | −0.191477 | − | 0.0624052i | ||||
\(403\) | −1.90061 | − | 0.787257i | −0.0946760 | − | 0.0392161i | ||||
\(404\) | −9.32530 | − | 15.2792i | −0.463951 | − | 0.760168i | ||||
\(405\) | 14.3745 | + | 12.1242i | 0.714274 | + | 0.602457i | ||||
\(406\) | 16.2747 | + | 13.9253i | 0.807700 | + | 0.691100i | ||||
\(407\) | 9.51068 | 0.471427 | ||||||||
\(408\) | 4.72754 | − | 1.12148i | 0.234048 | − | 0.0555217i | ||||
\(409\) | −14.0669 | + | 14.0669i | −0.695565 | + | 0.695565i | −0.963451 | − | 0.267886i | \(-0.913675\pi\) |
0.267886 | + | 0.963451i | \(0.413675\pi\) | |||||||
\(410\) | 24.8742 | − | 15.4241i | 1.22845 | − | 0.761740i | ||||
\(411\) | 4.61414 | + | 1.91124i | 0.227599 | + | 0.0942744i | ||||
\(412\) | −8.72628 | + | 11.9653i | −0.429913 | + | 0.589489i | ||||
\(413\) | 51.3450 | + | 21.2678i | 2.52652 | + | 1.04652i | ||||
\(414\) | −2.56442 | − | 0.835784i | −0.126034 | − | 0.0410765i | ||||
\(415\) | 33.6138 | − | 17.3894i | 1.65003 | − | 0.853613i | ||||
\(416\) | −3.59045 | − | 8.77971i | −0.176036 | − | 0.430460i | ||||
\(417\) | −2.69922 | + | 2.69922i | −0.132181 | + | 0.132181i | ||||
\(418\) | −1.17360 | − | 2.30846i | −0.0574027 | − | 0.112910i | ||||
\(419\) | 8.44915 | − | 3.49975i | 0.412768 | − | 0.170974i | −0.166629 | − | 0.986020i | \(-0.553288\pi\) |
0.579397 | + | 0.815046i | \(0.303288\pi\) | |||||||
\(420\) | −0.721094 | + | 4.68542i | −0.0351858 | + | 0.228625i | ||||
\(421\) | 7.01800 | − | 16.9430i | 0.342036 | − | 0.825749i | −0.655473 | − | 0.755218i | \(-0.727531\pi\) |
0.997510 | − | 0.0705306i | \(-0.0224692\pi\) | |||||||
\(422\) | −14.6271 | − | 12.5156i | −0.712038 | − | 0.609248i | ||||
\(423\) | −25.3980 | −1.23489 | ||||||||
\(424\) | −6.35235 | − | 26.7779i | −0.308497 | − | 1.30045i | ||||
\(425\) | −19.3065 | + | 27.2754i | −0.936502 | + | 1.32305i | ||||
\(426\) | −0.846940 | + | 0.989833i | −0.0410344 | + | 0.0479576i | ||||
\(427\) | 0.637283 | + | 1.53854i | 0.0308403 | + | 0.0744550i | ||||
\(428\) | 18.9668 | + | 4.58967i | 0.916796 | + | 0.221850i | ||||
\(429\) | −0.674720 | + | 0.279478i | −0.0325758 | + | 0.0134933i | ||||
\(430\) | −23.2890 | + | 3.81469i | −1.12310 | + | 0.183961i | ||||
\(431\) | −0.0903042 | −0.00434980 | −0.00217490 | − | 0.999998i | \(-0.500692\pi\) | ||||
−0.00217490 | + | 0.999998i | \(0.500692\pi\) | |||||||
\(432\) | −3.94541 | − | 4.65332i | −0.189824 | − | 0.223883i | ||||
\(433\) | 13.5561 | − | 13.5561i | 0.651466 | − | 0.651466i | −0.301880 | − | 0.953346i | \(-0.597614\pi\) |
0.953346 | + | 0.301880i | \(0.0976141\pi\) | |||||||
\(434\) | 3.24279 | + | 6.37853i | 0.155659 | + | 0.306179i | ||||
\(435\) | −1.36084 | + | 1.61341i | −0.0652471 | + | 0.0773570i | ||||
\(436\) | −1.68553 | + | 6.96544i | −0.0807220 | + | 0.333584i | ||||
\(437\) | 0.649002 | − | 0.268826i | 0.0310460 | − | 0.0128597i | ||||
\(438\) | −2.05251 | + | 0.159676i | −0.0980726 | + | 0.00762964i | ||||
\(439\) | −20.8236 | + | 20.8236i | −0.993856 | + | 0.993856i | −0.999981 | − | 0.00612500i | \(-0.998050\pi\) |
0.00612500 | + | 0.999981i | \(0.498050\pi\) | |||||||
\(440\) | 3.34712 | + | 10.1808i | 0.159567 | + | 0.485352i | ||||
\(441\) | −20.7637 | − | 20.7637i | −0.988750 | − | 0.988750i | ||||
\(442\) | −12.0422 | − | 10.3038i | −0.572790 | − | 0.490102i | ||||
\(443\) | 0.213272 | + | 0.514885i | 0.0101329 | + | 0.0244629i | 0.928865 | − | 0.370418i | \(-0.120786\pi\) |
−0.918732 | + | 0.394881i | \(0.870786\pi\) | |||||||
\(444\) | −1.70011 | + | 2.33116i | −0.0806837 | + | 0.110632i | ||||
\(445\) | 1.65364 | + | 19.4730i | 0.0783901 | + | 0.923108i | ||||
\(446\) | −28.1079 | − | 9.16080i | −1.33095 | − | 0.433776i | ||||
\(447\) | 0.356454 | + | 0.356454i | 0.0168597 | + | 0.0168597i | ||||
\(448\) | −10.3648 | + | 31.3228i | −0.489691 | + | 1.47986i | ||||
\(449\) | 20.4638i | 0.965746i | 0.875690 | + | 0.482873i | \(0.160407\pi\) | ||||
−0.875690 | + | 0.482873i | \(0.839593\pi\) | |||||||
\(450\) | 20.5265 | + | 3.01051i | 0.967627 | + | 0.141917i | ||||
\(451\) | −6.00173 | − | 14.4895i | −0.282610 | − | 0.682282i | ||||
\(452\) | 1.78097 | + | 11.3772i | 0.0837700 | + | 0.535138i | ||||
\(453\) | −1.26113 | + | 0.522377i | −0.0592530 | + | 0.0245434i | ||||
\(454\) | 1.79685 | + | 23.0970i | 0.0843302 | + | 1.08399i | ||||
\(455\) | 13.7343 | − | 7.10518i | 0.643874 | − | 0.333096i | ||||
\(456\) | 0.775617 | + | 0.124994i | 0.0363216 | + | 0.00585339i | ||||
\(457\) | − | 9.46550i | − | 0.442777i | −0.975186 | − | 0.221389i | \(-0.928941\pi\) | ||
0.975186 | − | 0.221389i | \(-0.0710589\pi\) | |||||||
\(458\) | 0.0649569 | + | 0.834966i | 0.00303523 | + | 0.0390154i | ||||
\(459\) | −9.41753 | − | 3.90087i | −0.439573 | − | 0.182077i | ||||
\(460\) | −2.82378 | + | 0.691011i | −0.131659 | + | 0.0322186i | ||||
\(461\) | −7.36381 | − | 17.7778i | −0.342967 | − | 0.827995i | −0.997413 | − | 0.0718864i | \(-0.977098\pi\) |
0.654446 | − | 0.756109i | \(-0.272902\pi\) | |||||||
\(462\) | 2.41519 | + | 0.787147i | 0.112365 | + | 0.0366214i | ||||
\(463\) | 11.6637 | + | 11.6637i | 0.542059 | + | 0.542059i | 0.924132 | − | 0.382073i | \(-0.124790\pi\) |
−0.382073 | + | 0.924132i | \(0.624790\pi\) | |||||||
\(464\) | −11.2044 | + | 9.49992i | −0.520153 | + | 0.441023i | ||||
\(465\) | −0.626273 | + | 0.323990i | −0.0290427 | + | 0.0150247i | ||||
\(466\) | −1.58241 | − | 3.11258i | −0.0733037 | − | 0.144187i | ||||
\(467\) | 11.7011 | − | 28.2491i | 0.541464 | − | 1.30721i | −0.382225 | − | 0.924069i | \(-0.624842\pi\) |
0.923690 | − | 0.383142i | \(-0.125158\pi\) | |||||||
\(468\) | −2.31417 | + | 9.56332i | −0.106973 | + | 0.442064i | ||||
\(469\) | 17.5317 | − | 42.3253i | 0.809540 | − | 1.95440i | ||||
\(470\) | −23.2649 | + | 14.4262i | −1.07313 | + | 0.665430i | ||||
\(471\) | −1.38672 | − | 1.38672i | −0.0638968 | − | 0.0638968i | ||||
\(472\) | −20.0027 | + | 32.4444i | −0.920699 | + | 1.49337i | ||||
\(473\) | 12.6456i | 0.581447i | ||||||||
\(474\) | 0.335319 | + | 4.31025i | 0.0154017 | + | 0.197976i | ||||
\(475\) | −4.57182 | + | 2.87990i | −0.209769 | + | 0.132139i | ||||
\(476\) | 8.52559 | + | 54.4631i | 0.390770 | + | 2.49631i | ||||
\(477\) | −10.9247 | + | 26.3746i | −0.500209 | + | 1.20761i | ||||
\(478\) | 26.4108 | − | 13.4270i | 1.20800 | − | 0.614139i | ||||
\(479\) | −5.95562 | −0.272119 | −0.136060 | − | 0.990701i | \(-0.543444\pi\) | ||||
−0.136060 | + | 0.990701i | \(0.543444\pi\) | |||||||
\(480\) | −3.09375 | − | 0.999495i | −0.141210 | − | 0.0456205i | ||||
\(481\) | 9.41144 | 0.429125 | ||||||||
\(482\) | −22.8292 | + | 11.6062i | −1.03984 | + | 0.528646i | ||||
\(483\) | −0.263694 | + | 0.636614i | −0.0119985 | + | 0.0289669i | ||||
\(484\) | −16.0618 | + | 2.51429i | −0.730080 | + | 0.114286i | ||||
\(485\) | −0.0370652 | − | 0.436473i | −0.00168304 | − | 0.0198192i | ||||
\(486\) | 0.738988 | + | 9.49907i | 0.0335212 | + | 0.430887i | ||||
\(487\) | 27.0205i | 1.22441i | 0.790697 | + | 0.612207i | \(0.209718\pi\) | ||||
−0.790697 | + | 0.612207i | \(0.790282\pi\) | |||||||
\(488\) | −1.11126 | + | 0.263617i | −0.0503044 | + | 0.0119334i | ||||
\(489\) | −2.01108 | − | 2.01108i | −0.0909440 | − | 0.0909440i | ||||
\(490\) | −30.8138 | − | 7.22600i | −1.39203 | − | 0.326438i | ||||
\(491\) | 12.6646 | − | 30.5751i | 0.571547 | − | 1.37984i | −0.328692 | − | 0.944437i | \(-0.606608\pi\) |
0.900238 | − | 0.435398i | \(-0.143392\pi\) | |||||||
\(492\) | 4.62437 | + | 1.11902i | 0.208483 | + | 0.0504495i | ||||
\(493\) | −9.39267 | + | 22.6759i | −0.423024 | + | 1.02127i | ||||
\(494\) | −1.16135 | − | 2.28437i | −0.0522518 | − | 0.102779i | ||||
\(495\) | 3.36988 | − | 10.5936i | 0.151465 | − | 0.476148i | ||||
\(496\) | −4.67265 | + | 1.49965i | −0.209808 | + | 0.0673364i | ||||
\(497\) | −10.4513 | − | 10.4513i | −0.468805 | − | 0.468805i | ||||
\(498\) | 5.84932 | + | 1.90638i | 0.262114 | + | 0.0854271i | ||||
\(499\) | 4.17405 | + | 10.0771i | 0.186856 | + | 0.451111i | 0.989351 | − | 0.145548i | \(-0.0464946\pi\) |
−0.802495 | + | 0.596659i | \(0.796495\pi\) | |||||||
\(500\) | 20.5125 | − | 8.90145i | 0.917349 | − | 0.398085i | ||||
\(501\) | −1.34921 | − | 0.558861i | −0.0602782 | − | 0.0249681i | ||||
\(502\) | −0.353752 | − | 4.54719i | −0.0157887 | − | 0.202951i | ||||
\(503\) | − | 6.86620i | − | 0.306149i | −0.988215 | − | 0.153074i | \(-0.951083\pi\) | ||
0.988215 | − | 0.153074i | \(-0.0489174\pi\) | |||||||
\(504\) | 27.7419 | − | 20.0414i | 1.23572 | − | 0.892715i | ||||
\(505\) | 9.19566 | + | 17.7752i | 0.409202 | + | 0.790987i | ||||
\(506\) | 0.120822 | + | 1.55306i | 0.00537119 | + | 0.0690421i | ||||
\(507\) | 2.41936 | − | 1.00213i | 0.107447 | − | 0.0445062i | ||||
\(508\) | 21.6623 | − | 3.39099i | 0.961107 | − | 0.150451i | ||||
\(509\) | 9.56661 | + | 23.0958i | 0.424033 | + | 1.02371i | 0.981146 | + | 0.193269i | \(0.0619089\pi\) |
−0.557113 | + | 0.830436i | \(0.688091\pi\) | |||||||
\(510\) | −5.36080 | + | 0.878086i | −0.237380 | + | 0.0388823i | ||||
\(511\) | − | 23.3577i | − | 1.03328i | ||||||
\(512\) | −20.0773 | − | 10.4357i | −0.887298 | − | 0.461196i | ||||
\(513\) | −1.16546 | − | 1.16546i | −0.0514563 | − | 0.0514563i | ||||
\(514\) | 4.97320 | + | 1.62084i | 0.219359 | + | 0.0714924i | ||||
\(515\) | 10.6752 | − | 12.6565i | 0.470405 | − | 0.557712i | ||||
\(516\) | −3.09957 | − | 2.26051i | −0.136451 | − | 0.0995134i | ||||
\(517\) | 5.61343 | + | 13.5520i | 0.246879 | + | 0.596018i | ||||
\(518\) | −24.8732 | − | 21.2824i | −1.09286 | − | 0.935097i | ||||
\(519\) | 1.37023 | + | 1.37023i | 0.0601466 | + | 0.0601466i | ||||
\(520\) | 3.31219 | + | 10.0746i | 0.145249 | + | 0.441800i | ||||
\(521\) | 14.7050 | − | 14.7050i | 0.644238 | − | 0.644238i | −0.307357 | − | 0.951594i | \(-0.599444\pi\) |
0.951594 | + | 0.307357i | \(0.0994445\pi\) | |||||||
\(522\) | 15.1918 | − | 1.18186i | 0.664927 | − | 0.0517285i | ||||
\(523\) | 7.71979 | − | 3.19764i | 0.337563 | − | 0.139823i | −0.207462 | − | 0.978243i | \(-0.566520\pi\) |
0.545025 | + | 0.838420i | \(0.316520\pi\) | |||||||
\(524\) | 3.99917 | + | 0.967737i | 0.174705 | + | 0.0422758i | ||||
\(525\) | 1.17353 | − | 5.16858i | 0.0512171 | − | 0.225575i | ||||
\(526\) | −9.09799 | − | 17.8956i | −0.396691 | − | 0.780286i | ||||
\(527\) | −5.79793 | + | 5.79793i | −0.252562 | + | 0.252562i | ||||
\(528\) | −0.796501 | + | 1.54940i | −0.0346633 | + | 0.0674290i | ||||
\(529\) | 22.5774 | 0.981628 | ||||||||
\(530\) | 4.97369 | + | 30.3648i | 0.216043 | + | 1.31896i | ||||
\(531\) | 36.5272 | − | 15.1300i | 1.58514 | − | 0.656588i | ||||
\(532\) | −2.09643 | + | 8.66349i | −0.0908917 | + | 0.375610i | ||||
\(533\) | −5.93910 | − | 14.3383i | −0.257251 | − | 0.621059i | ||||
\(534\) | −2.06542 | + | 2.41389i | −0.0893793 | + | 0.104459i | ||||
\(535\) | −20.7910 | − | 6.61371i | −0.898874 | − | 0.285936i | ||||
\(536\) | 26.7449 | + | 16.4888i | 1.15520 | + | 0.712210i | ||||
\(537\) | 2.87597 | 0.124107 | ||||||||
\(538\) | −19.9915 | − | 17.1055i | −0.861895 | − | 0.737471i | ||||
\(539\) | −6.49008 | + | 15.6684i | −0.279548 | + | 0.674888i | ||||
\(540\) | 4.03333 | + | 5.50062i | 0.173567 | + | 0.236709i | ||||
\(541\) | −33.9033 | + | 14.0432i | −1.45762 | + | 0.603765i | −0.963997 | − | 0.265911i | \(-0.914327\pi\) |
−0.493621 | + | 0.869677i | \(0.664327\pi\) | |||||||
\(542\) | −5.34734 | − | 10.5182i | −0.229688 | − | 0.451793i | ||||
\(543\) | 2.09185 | − | 2.09185i | 0.0897697 | − | 0.0897697i | ||||
\(544\) | −37.8065 | − | 0.170209i | −1.62094 | − | 0.00729765i | ||||
\(545\) | 2.42884 | − | 7.63535i | 0.104040 | − | 0.327063i | ||||
\(546\) | 2.38999 | + | 0.778933i | 0.102282 | + | 0.0333353i | ||||
\(547\) | 41.0857 | + | 17.0182i | 1.75670 | + | 0.727647i | 0.997003 | + | 0.0773651i | \(0.0246507\pi\) |
0.759693 | + | 0.650282i | \(0.225349\pi\) | |||||||
\(548\) | −31.3986 | − | 22.8989i | −1.34128 | − | 0.978193i | ||||
\(549\) | 1.09452 | + | 0.453366i | 0.0467131 | + | 0.0193492i | ||||
\(550\) | −2.93037 | − | 11.6180i | −0.124951 | − | 0.495395i | ||||
\(551\) | −2.80624 | + | 2.80624i | −0.119550 | + | 0.119550i | ||||
\(552\) | −0.402270 | − | 0.248008i | −0.0171217 | − | 0.0105559i | ||||
\(553\) | −49.0510 | −2.08586 | ||||||||
\(554\) | −3.47718 | − | 2.97522i | −0.147731 | − | 0.126405i | ||||
\(555\) | 2.07981 | − | 2.46582i | 0.0882829 | − | 0.104668i | ||||
\(556\) | 25.3539 | − | 15.4741i | 1.07524 | − | 0.656250i | ||||
\(557\) | −14.2378 | − | 5.89750i | −0.603276 | − | 0.249885i | 0.0600745 | − | 0.998194i | \(-0.480866\pi\) |
−0.663351 | + | 0.748309i | \(0.730866\pi\) | |||||||
\(558\) | 4.83991 | + | 1.57740i | 0.204890 | + | 0.0667767i | ||||
\(559\) | 12.5137i | 0.529273i | ||||||||
\(560\) | 14.0284 | − | 34.1158i | 0.592808 | − | 1.44165i | ||||
\(561\) | 2.91084i | 0.122896i | ||||||||
\(562\) | −2.52817 | + | 7.75714i | −0.106644 | + | 0.327215i | ||||
\(563\) | 7.26747 | + | 3.01028i | 0.306287 | + | 0.126868i | 0.530533 | − | 0.847664i | \(-0.321992\pi\) |
−0.224246 | + | 0.974533i | \(0.571992\pi\) | |||||||
\(564\) | −4.32519 | − | 1.04663i | −0.182123 | − | 0.0440709i | ||||
\(565\) | −1.08942 | − | 12.8288i | −0.0458323 | − | 0.539713i | ||||
\(566\) | 10.2402 | − | 11.9680i | 0.430430 | − | 0.503050i | ||||
\(567\) | −34.6831 | −1.45655 | ||||||||
\(568\) | 8.21685 | − | 5.93604i | 0.344771 | − | 0.249071i | ||||
\(569\) | 2.91139 | − | 2.91139i | 0.122052 | − | 0.122052i | −0.643443 | − | 0.765494i | \(-0.722494\pi\) |
0.765494 | + | 0.643443i | \(0.222494\pi\) | |||||||
\(570\) | −0.855155 | − | 0.200538i | −0.0358185 | − | 0.00839963i | ||||
\(571\) | 27.0095 | + | 11.1877i | 1.13031 | + | 0.468191i | 0.867887 | − | 0.496762i | \(-0.165478\pi\) |
0.262425 | + | 0.964952i | \(0.415478\pi\) | |||||||
\(572\) | 5.61433 | − | 0.878862i | 0.234747 | − | 0.0367471i | ||||
\(573\) | −5.59858 | − | 2.31901i | −0.233884 | − | 0.0968780i | ||||
\(574\) | −16.7274 | + | 51.3244i | −0.698189 | + | 2.14224i | ||||
\(575\) | 3.20369 | − | 0.548066i | 0.133603 | − | 0.0228559i | ||||
\(576\) | 10.5427 | + | 20.9705i | 0.439279 | + | 0.873771i | ||||
\(577\) | −0.327991 | + | 0.327991i | −0.0136545 | + | 0.0136545i | −0.713901 | − | 0.700247i | \(-0.753073\pi\) |
0.700247 | + | 0.713901i | \(0.253073\pi\) | |||||||
\(578\) | −34.8790 | + | 17.7322i | −1.45078 | + | 0.737562i | ||||
\(579\) | −1.11208 | + | 0.460639i | −0.0462165 | + | 0.0191435i | ||||
\(580\) | 13.2446 | − | 9.71160i | 0.549952 | − | 0.403252i | ||||
\(581\) | −26.7117 | + | 64.4877i | −1.10819 | + | 2.67540i | ||||
\(582\) | 0.0462948 | − | 0.0541055i | 0.00191898 | − | 0.00224275i | ||||
\(583\) | 16.4877 | 0.682851 | ||||||||
\(584\) | 15.8152 | + | 2.54869i | 0.654437 | + | 0.105466i | ||||
\(585\) | 3.33472 | − | 10.4831i | 0.137874 | − | 0.433422i | ||||
\(586\) | −0.843899 | − | 0.722073i | −0.0348611 | − | 0.0298286i | ||||
\(587\) | −6.23054 | − | 15.0418i | −0.257162 | − | 0.620843i | 0.741587 | − | 0.670857i | \(-0.234074\pi\) |
−0.998749 | + | 0.0500135i | \(0.984074\pi\) | |||||||
\(588\) | −2.68034 | − | 4.39165i | −0.110535 | − | 0.181108i | ||||
\(589\) | −1.22488 | + | 0.507362i | −0.0504704 | + | 0.0209055i | ||||
\(590\) | 24.8655 | − | 34.6069i | 1.02370 | − | 1.42474i | ||||
\(591\) | −2.81798 | −0.115916 | ||||||||
\(592\) | 17.1241 | − | 14.5190i | 0.703796 | − | 0.596728i | ||||
\(593\) | 4.64086 | − | 4.64086i | 0.190577 | − | 0.190577i | −0.605368 | − | 0.795945i | \(-0.706974\pi\) |
0.795945 | + | 0.605368i | \(0.206974\pi\) | |||||||
\(594\) | 3.25808 | − | 1.65638i | 0.133680 | − | 0.0679621i | ||||
\(595\) | −5.21510 | − | 61.4121i | −0.213798 | − | 2.51765i | ||||
\(596\) | −2.04349 | − | 3.34819i | −0.0837045 | − | 0.137147i | ||||
\(597\) | 4.29102 | − | 1.77740i | 0.175620 | − | 0.0727440i | ||||
\(598\) | 0.119561 | + | 1.53686i | 0.00488922 | + | 0.0628468i | ||||
\(599\) | −13.1614 | + | 13.1614i | −0.537762 | + | 0.537762i | −0.922871 | − | 0.385109i | \(-0.874164\pi\) |
0.385109 | + | 0.922871i | \(0.374164\pi\) | |||||||
\(600\) | 3.37152 | + | 1.35856i | 0.137642 | + | 0.0554628i | ||||
\(601\) | 17.4634 | + | 17.4634i | 0.712348 | + | 0.712348i | 0.967026 | − | 0.254678i | \(-0.0819696\pi\) |
−0.254678 | + | 0.967026i | \(0.581970\pi\) | |||||||
\(602\) | 28.2977 | − | 33.0720i | 1.15333 | − | 1.34791i | ||||
\(603\) | −12.4722 | − | 30.1105i | −0.507906 | − | 1.22619i | ||||
\(604\) | 10.4938 | − | 1.64269i | 0.426988 | − | 0.0668402i | ||||
\(605\) | 18.1111 | − | 1.53799i | 0.736321 | − | 0.0625282i | ||||
\(606\) | −1.00811 | + | 3.09317i | −0.0409517 | + | 0.125651i | ||||
\(607\) | 20.0063 | + | 20.0063i | 0.812031 | + | 0.812031i | 0.984938 | − | 0.172907i | \(-0.0553162\pi\) |
−0.172907 | + | 0.984938i | \(0.555316\pi\) | |||||||
\(608\) | −5.63718 | − | 2.36478i | −0.228618 | − | 0.0959047i | ||||
\(609\) | − | 3.89287i | − | 0.157747i | ||||||
\(610\) | 1.26011 | − | 0.206404i | 0.0510205 | − | 0.00835704i | ||||
\(611\) | 5.55486 | + | 13.4106i | 0.224726 | + | 0.542536i | ||||
\(612\) | 31.6858 | + | 23.1084i | 1.28082 | + | 0.934101i | ||||
\(613\) | 13.5417 | − | 5.60914i | 0.546943 | − | 0.226551i | −0.0920629 | − | 0.995753i | \(-0.529346\pi\) |
0.639006 | + | 0.769202i | \(0.279346\pi\) | |||||||
\(614\) | 15.1117 | − | 1.17563i | 0.609859 | − | 0.0474444i | ||||
\(615\) | −5.06913 | − | 1.61251i | −0.204407 | − | 0.0650228i | ||||
\(616\) | −16.8253 | − | 10.3732i | −0.677912 | − | 0.417948i | ||||
\(617\) | − | 3.56421i | − | 0.143490i | −0.997423 | − | 0.0717449i | \(-0.977143\pi\) | ||
0.997423 | − | 0.0717449i | \(-0.0228568\pi\) | |||||||
\(618\) | 2.68345 | − | 0.208761i | 0.107944 | − | 0.00839761i | ||||
\(619\) | 5.87879 | + | 2.43508i | 0.236289 | + | 0.0978740i | 0.497686 | − | 0.867357i | \(-0.334183\pi\) |
−0.261397 | + | 0.965231i | \(0.584183\pi\) | |||||||
\(620\) | 5.32940 | − | 1.30417i | 0.214034 | − | 0.0523766i | ||||
\(621\) | 0.379411 | + | 0.915979i | 0.0152252 | + | 0.0367570i | ||||
\(622\) | −11.1916 | + | 34.3391i | −0.448744 | + | 1.37687i | ||||
\(623\) | −25.4874 | − | 25.4874i | −1.02113 | − | 1.02113i | ||||
\(624\) | −0.788190 | + | 1.53323i | −0.0315529 | + | 0.0613785i | ||||
\(625\) | −23.5783 | + | 8.31045i | −0.943132 | + | 0.332418i | ||||
\(626\) | 1.49625 | − | 0.760683i | 0.0598023 | − | 0.0304030i | ||||
\(627\) | −0.180115 | + | 0.434836i | −0.00719310 | + | 0.0173657i | ||||
\(628\) | 7.94983 | + | 13.0255i | 0.317233 | + | 0.519776i | ||||
\(629\) | 14.3551 | − | 34.6563i | 0.572376 | − | 1.38184i | ||||
\(630\) | −32.5190 | + | 20.1644i | −1.29559 | + | 0.803371i | ||||
\(631\) | 12.3669 | + | 12.3669i | 0.492319 | + | 0.492319i | 0.909036 | − | 0.416717i | \(-0.136819\pi\) |
−0.416717 | + | 0.909036i | \(0.636819\pi\) | |||||||
\(632\) | 5.35223 | − | 33.2118i | 0.212900 | − | 1.32109i | ||||
\(633\) | 3.49878i | 0.139064i | ||||||||
\(634\) | 38.7709 | − | 3.01621i | 1.53979 | − | 0.119789i | ||||
\(635\) | −24.4262 | + | 2.07426i | −0.969323 | + | 0.0823147i | ||||
\(636\) | −2.94731 | + | 4.04130i | −0.116869 | + | 0.160248i | ||||
\(637\) | −6.42236 | + | 15.5049i | −0.254463 | + | 0.614328i | ||||
\(638\) | −3.98830 | − | 7.84493i | −0.157898 | − | 0.310584i | ||||
\(639\) | −10.5149 | −0.415961 | ||||||||
\(640\) | 21.5686 | + | 13.2210i | 0.852574 | + | 0.522606i | ||||
\(641\) | −40.2566 | −1.59004 | −0.795021 | − | 0.606582i | \(-0.792540\pi\) | ||||
−0.795021 | + | 0.606582i | \(0.792540\pi\) | |||||||
\(642\) | −1.60731 | − | 3.16155i | −0.0634353 | − | 0.124776i | ||||
\(643\) | −2.36076 | + | 5.69937i | −0.0930992 | + | 0.224761i | −0.963569 | − | 0.267461i | \(-0.913815\pi\) |
0.870469 | + | 0.492222i | \(0.163815\pi\) | |||||||
\(644\) | 3.15937 | − | 4.33208i | 0.124497 | − | 0.170708i | ||||
\(645\) | 3.27862 | + | 2.76536i | 0.129095 | + | 0.108886i | ||||
\(646\) | −10.1833 | + | 0.792215i | −0.400655 | + | 0.0311693i | ||||
\(647\) | − | 29.9013i | − | 1.17554i | −0.809028 | − | 0.587770i | \(-0.800006\pi\) | ||
0.809028 | − | 0.587770i | \(-0.199994\pi\) | |||||||
\(648\) | 3.78447 | − | 23.4835i | 0.148668 | − | 0.922518i | ||||
\(649\) | −16.1464 | − | 16.1464i | −0.633801 | − | 0.633801i | ||||
\(650\) | −2.89979 | − | 11.4968i | −0.113739 | − | 0.450942i | ||||
\(651\) | 0.497678 | − | 1.20150i | 0.0195055 | − | 0.0470905i | ||||
\(652\) | 11.5291 | + | 18.8901i | 0.451516 | + | 0.739794i | ||||
\(653\) | −11.4902 | + | 27.7399i | −0.449648 | + | 1.08555i | 0.522806 | + | 0.852452i | \(0.324885\pi\) |
−0.972454 | + | 0.233095i | \(0.925115\pi\) | |||||||
\(654\) | 1.16106 | − | 0.590272i | 0.0454009 | − | 0.0230814i | ||||
\(655\) | −4.38380 | − | 1.39451i | −0.171289 | − | 0.0544879i | ||||
\(656\) | −32.9258 | − | 16.9262i | −1.28554 | − | 0.660857i | ||||
\(657\) | −11.7499 | − | 11.7499i | −0.458406 | − | 0.458406i | ||||
\(658\) | 15.6452 | − | 48.0038i | 0.609913 | − | 1.87138i | ||||
\(659\) | −16.1349 | − | 38.9531i | −0.628527 | − | 1.51740i | −0.841453 | − | 0.540330i | \(-0.818299\pi\) |
0.212926 | − | 0.977068i | \(-0.431701\pi\) | |||||||
\(660\) | 1.01043 | − | 1.66519i | 0.0393310 | − | 0.0648173i | ||||
\(661\) | 47.2128 | + | 19.5562i | 1.83637 | + | 0.760648i | 0.960614 | + | 0.277888i | \(0.0896343\pi\) |
0.875753 | + | 0.482760i | \(0.160366\pi\) | |||||||
\(662\) | −26.9502 | + | 2.09662i | −1.04745 | + | 0.0814873i | ||||
\(663\) | 2.88047i | 0.111868i | ||||||||
\(664\) | −40.7491 | − | 25.1227i | −1.58137 | − | 0.974952i | ||||
\(665\) | 3.02095 | − | 9.49672i | 0.117147 | − | 0.368267i | ||||
\(666\) | −23.2181 | + | 1.80627i | −0.899683 | + | 0.0699915i | ||||
\(667\) | 2.20553 | − | 0.913561i | 0.0853985 | − | 0.0353732i | ||||
\(668\) | 9.18119 | + | 6.69582i | 0.355231 | + | 0.259069i | ||||
\(669\) | 2.05616 | + | 4.96401i | 0.0794957 | + | 0.191920i | ||||
\(670\) | −28.5276 | − | 20.4974i | −1.10212 | − | 0.791883i | ||||
\(671\) | − | 0.684226i | − | 0.0264142i | ||||||
\(672\) | 5.55024 | − | 2.26976i | 0.214105 | − | 0.0875580i | ||||
\(673\) | 18.0167 | + | 18.0167i | 0.694492 | + | 0.694492i | 0.963217 | − | 0.268725i | \(-0.0866023\pi\) |
−0.268725 | + | 0.963217i | \(0.586602\pi\) | |||||||
\(674\) | −7.41828 | + | 22.7614i | −0.285741 | + | 0.876735i | ||||
\(675\) | −4.06458 | − | 6.45250i | −0.156446 | − | 0.248357i | ||||
\(676\) | −20.1314 | + | 3.15135i | −0.774286 | + | 0.121206i | ||||
\(677\) | −3.44093 | − | 8.30714i | −0.132246 | − | 0.319269i | 0.843861 | − | 0.536562i | \(-0.180277\pi\) |
−0.976106 | + | 0.217293i | \(0.930277\pi\) | |||||||
\(678\) | 1.36070 | − | 1.59027i | 0.0522574 | − | 0.0610741i | ||||
\(679\) | 0.571282 | + | 0.571282i | 0.0219238 | + | 0.0219238i | ||||
\(680\) | 42.1503 | + | 3.16994i | 1.61639 | + | 0.121562i | ||||
\(681\) | 2.97727 | − | 2.97727i | 0.114089 | − | 0.114089i | ||||
\(682\) | −0.228031 | − | 2.93114i | −0.00873175 | − | 0.112239i | ||||
\(683\) | 17.5670 | − | 7.27650i | 0.672184 | − | 0.278428i | −0.0203715 | − | 0.999792i | \(-0.506485\pi\) |
0.692555 | + | 0.721365i | \(0.256485\pi\) | |||||||
\(684\) | 3.30349 | + | 5.41267i | 0.126312 | + | 0.206958i | ||||
\(685\) | 33.2123 | + | 28.0131i | 1.26898 | + | 1.07032i | ||||
\(686\) | 15.6416 | − | 7.95208i | 0.597200 | − | 0.303612i | ||||
\(687\) | 0.107630 | − | 0.107630i | 0.00410633 | − | 0.00410633i | ||||
\(688\) | 19.3049 | + | 22.7686i | 0.735991 | + | 0.868046i | ||||
\(689\) | 16.3157 | 0.621578 | ||||||||
\(690\) | 0.429083 | + | 0.308301i | 0.0163349 | + | 0.0117368i | ||||
\(691\) | −38.2391 | + | 15.8391i | −1.45468 | + | 0.602550i | −0.963308 | − | 0.268398i | \(-0.913506\pi\) |
−0.491375 | + | 0.870948i | \(0.663506\pi\) | |||||||
\(692\) | −7.85531 | − | 12.8707i | −0.298614 | − | 0.489269i | ||||
\(693\) | 7.84628 | + | 18.9426i | 0.298056 | + | 0.719570i | ||||
\(694\) | −11.4999 | − | 9.83973i | −0.436529 | − | 0.373511i | ||||
\(695\) | −29.4957 | + | 15.2590i | −1.11884 | + | 0.578808i | ||||
\(696\) | 2.63581 | + | 0.424773i | 0.0999101 | + | 0.0161010i | ||||
\(697\) | −61.8574 | −2.34302 | ||||||||
\(698\) | 19.8875 | − | 23.2429i | 0.752753 | − | 0.879755i | ||||
\(699\) | −0.242856 | + | 0.586306i | −0.00918565 | + | 0.0221761i | ||||
\(700\) | −18.3344 | + | 36.9419i | −0.692975 | + | 1.39627i | ||||
\(701\) | 22.9791 | − | 9.51825i | 0.867908 | − | 0.359499i | 0.0961128 | − | 0.995370i | \(-0.469359\pi\) |
0.771795 | + | 0.635871i | \(0.219359\pi\) | |||||||
\(702\) | 3.22408 | − | 1.63910i | 0.121685 | − | 0.0618637i | ||||
\(703\) | 4.28887 | − | 4.28887i | 0.161758 | − | 0.161758i | ||||
\(704\) | 8.85945 | − | 10.2603i | 0.333903 | − | 0.386700i | ||||
\(705\) | 4.74117 | + | 1.50819i | 0.178563 | + | 0.0568016i | ||||
\(706\) | 7.29073 | − | 22.3700i | 0.274390 | − | 0.841906i | ||||
\(707\) | −34.1016 | − | 14.1254i | −1.28252 | − | 0.531239i | ||||
\(708\) | 6.84394 | − | 1.07134i | 0.257211 | − | 0.0402635i | ||||
\(709\) | 12.3065 | + | 5.09752i | 0.462181 | + | 0.191441i | 0.601609 | − | 0.798791i | \(-0.294527\pi\) |
−0.139428 | + | 0.990232i | \(0.544527\pi\) | |||||||
\(710\) | −9.63176 | + | 5.97248i | −0.361474 | + | 0.224143i | ||||
\(711\) | −24.6746 | + | 24.6746i | −0.925370 | + | 0.925370i | ||||
\(712\) | 20.0383 | − | 14.4761i | 0.750966 | − | 0.542515i | ||||
\(713\) | 0.797511 | 0.0298670 | ||||||||
\(714\) | 6.51372 | − | 7.61269i | 0.243770 | − | 0.284898i | ||||
\(715\) | −6.33067 | + | 0.537599i | −0.236754 | + | 0.0201051i | ||||
\(716\) | −21.7508 | − | 5.26335i | −0.812865 | − | 0.196700i | ||||
\(717\) | −4.97491 | − | 2.06068i | −0.185792 | − | 0.0769574i | ||||
\(718\) | −4.29114 | + | 13.1664i | −0.160144 | + | 0.491367i | ||||
\(719\) | 26.2077i | 0.977384i | 0.872456 | + | 0.488692i | \(0.162526\pi\) | ||||
−0.872456 | + | 0.488692i | \(0.837474\pi\) | |||||||
\(720\) | −10.1047 | − | 24.2184i | −0.376582 | − | 0.902568i | ||||
\(721\) | 30.5379i | 1.13729i | ||||||||
\(722\) | 23.9772 | + | 7.81454i | 0.892339 | + | 0.290827i | ||||
\(723\) | 4.30025 | + | 1.78122i | 0.159928 | + | 0.0662443i | ||||
\(724\) | −19.6488 | + | 11.9922i | −0.730241 | + | 0.445685i | ||||
\(725\) | −15.5366 | + | 9.78687i | −0.577015 | + | 0.363475i | ||||
\(726\) | 2.24507 | + | 1.92097i | 0.0833223 | + | 0.0712938i | ||||
\(727\) | 5.88451 | 0.218244 | 0.109122 | − | 0.994028i | \(-0.465196\pi\) | ||||
0.109122 | + | 0.994028i | \(0.465196\pi\) | |||||||
\(728\) | −16.6498 | − | 10.2650i | −0.617081 | − | 0.380444i | ||||
\(729\) | −16.6154 | + | 16.6154i | −0.615385 | + | 0.615385i | ||||
\(730\) | −17.4370 | − | 4.08908i | −0.645373 | − | 0.151343i | ||||
\(731\) | 46.0799 | + | 19.0869i | 1.70433 | + | 0.705955i | ||||
\(732\) | 0.167711 | + | 0.122311i | 0.00619876 | + | 0.00452074i | ||||
\(733\) | −29.5228 | − | 12.2288i | −1.09045 | − | 0.451680i | −0.236287 | − | 0.971683i | \(-0.575931\pi\) |
−0.854164 | + | 0.520004i | \(0.825931\pi\) | |||||||
\(734\) | 41.4586 | + | 13.5120i | 1.53026 | + | 0.498737i | ||||
\(735\) | 2.64308 | + | 5.10907i | 0.0974914 | + | 0.188451i | ||||
\(736\) | 2.58845 | + | 2.61187i | 0.0954117 | + | 0.0962747i | ||||
\(737\) | −13.3100 | + | 13.3100i | −0.490279 | + | 0.490279i | ||||
\(738\) | 17.4036 | + | 34.2328i | 0.640637 | + | 1.26012i | ||||
\(739\) | −15.9281 | + | 6.59764i | −0.585925 | + | 0.242698i | −0.655896 | − | 0.754851i | \(-0.727709\pi\) |
0.0699714 | + | 0.997549i | \(0.477709\pi\) | |||||||
\(740\) | −20.2422 | + | 14.8426i | −0.744117 | + | 0.545623i | ||||
\(741\) | −0.178235 | + | 0.430298i | −0.00654764 | + | 0.0158074i | ||||
\(742\) | −43.1201 | − | 36.8952i | −1.58299 | − | 1.35447i | ||||
\(743\) | 43.6105 | 1.59991 | 0.799957 | − | 0.600058i | \(-0.204856\pi\) | ||||
0.799957 | + | 0.600058i | \(0.204856\pi\) | |||||||
\(744\) | 0.759215 | + | 0.468073i | 0.0278342 | + | 0.0171604i | ||||
\(745\) | 2.01508 | + | 3.89515i | 0.0738268 | + | 0.142707i | ||||
\(746\) | 28.0528 | − | 32.7858i | 1.02709 | − | 1.20037i | ||||
\(747\) | 19.0028 | + | 45.8769i | 0.695278 | + | 1.67855i | ||||
\(748\) | 5.32716 | − | 22.0145i | 0.194780 | − | 0.804930i | ||||
\(749\) | 37.1767 | − | 15.3991i | 1.35841 | − | 0.562670i | ||||
\(750\) | −3.65301 | − | 1.78089i | −0.133389 | − | 0.0650290i | ||||
\(751\) | 23.0493 | 0.841081 | 0.420540 | − | 0.907274i | \(-0.361841\pi\) | ||||
0.420540 | + | 0.907274i | \(0.361841\pi\) | |||||||
\(752\) | 30.7956 | + | 15.8311i | 1.12300 | + | 0.577302i | ||||
\(753\) | −0.586147 | + | 0.586147i | −0.0213604 | + | 0.0213604i | ||||
\(754\) | −3.94668 | − | 7.76307i | −0.143730 | − | 0.282714i | ||||
\(755\) | −11.8327 | + | 1.00483i | −0.430638 | + | 0.0365697i | ||||
\(756\) | −12.2273 | − | 2.95883i | −0.444704 | − | 0.107611i | ||||
\(757\) | −28.8245 | + | 11.9395i | −1.04764 | + | 0.433948i | −0.839050 | − | 0.544055i | \(-0.816888\pi\) |
−0.208593 | + | 0.978003i | \(0.566888\pi\) | |||||||
\(758\) | 10.0762 | − | 0.783884i | 0.365983 | − | 0.0284720i | ||||
\(759\) | 0.200195 | − | 0.200195i | 0.00726661 | − | 0.00726661i | ||||
\(760\) | 6.10047 | + | 3.08168i | 0.221287 | + | 0.111784i | ||||
\(761\) | −15.8143 | − | 15.8143i | −0.573268 | − | 0.573268i | 0.359772 | − | 0.933040i | \(-0.382854\pi\) |
−0.933040 | + | 0.359772i | \(0.882854\pi\) | |||||||
\(762\) | −3.02789 | − | 2.59078i | −0.109689 | − | 0.0938541i | ||||
\(763\) | 5.65520 | + | 13.6529i | 0.204732 | + | 0.494267i | ||||
\(764\) | 38.0976 | + | 27.7845i | 1.37832 | + | 1.00521i | ||||
\(765\) | −33.5161 | − | 28.2693i | −1.21178 | − | 1.02208i | ||||
\(766\) | −3.30729 | − | 1.07790i | −0.119497 | − | 0.0389460i | ||||
\(767\) | −15.9779 | − | 15.9779i | −0.576929 | − | 0.576929i | ||||
\(768\) | 0.931208 | + | 4.00566i | 0.0336021 | + | 0.144542i | ||||
\(769\) | − | 39.2686i | − | 1.41606i | −0.706182 | − | 0.708030i | \(-0.749584\pi\) | ||
0.706182 | − | 0.708030i | \(-0.250416\pi\) | |||||||
\(770\) | 17.9468 | + | 12.8950i | 0.646758 | + | 0.464703i | ||||
\(771\) | −0.363802 | − | 0.878296i | −0.0131020 | − | 0.0316310i | ||||
\(772\) | 9.25361 | − | 1.44855i | 0.333045 | − | 0.0521345i | ||||
\(773\) | −5.52014 | + | 2.28651i | −0.198545 | + | 0.0822402i | −0.479741 | − | 0.877410i | \(-0.659269\pi\) |
0.281195 | + | 0.959651i | \(0.409269\pi\) | |||||||
\(774\) | −2.40166 | − | 30.8714i | −0.0863259 | − | 1.10965i | ||||
\(775\) | −6.04642 | + | 1.03438i | −0.217194 | + | 0.0371560i | ||||
\(776\) | −0.449143 | + | 0.324472i | −0.0161233 | + | 0.0116479i | ||||
\(777\) | 5.94960i | 0.213441i | ||||||||
\(778\) | −0.237374 | − | 3.05125i | −0.00851027 | − | 0.109392i | ||||
\(779\) | −9.24056 | − | 3.82756i | −0.331077 | − | 0.137137i | ||||
\(780\) | 0.999889 | − | 1.64781i | 0.0358018 | − | 0.0590011i | ||||
\(781\) | 2.32398 | + | 5.61059i | 0.0831586 | + | 0.200763i | ||||
\(782\) | 5.84163 | + | 1.90388i | 0.208896 | + | 0.0680825i | ||||
\(783\) | −3.96063 | − | 3.96063i | −0.141541 | − | 0.141541i | ||||
\(784\) | 12.2340 | + | 38.1190i | 0.436929 | + | 1.36139i | ||||
\(785\) | −7.83932 | − | 15.1534i | −0.279797 | − | 0.540848i | ||||
\(786\) | −0.338902 | − | 0.666615i | −0.0120882 | − | 0.0237774i | ||||
\(787\) | 12.6232 | − | 30.4752i | 0.449970 | − | 1.08632i | −0.522363 | − | 0.852723i | \(-0.674949\pi\) |
0.972333 | − | 0.233600i | \(-0.0750507\pi\) | |||||||
\(788\) | 21.3122 | + | 5.15722i | 0.759216 | + | 0.183718i | ||||
\(789\) | −1.39629 | + | 3.37093i | −0.0497091 | + | 0.120008i | ||||
\(790\) | −8.58702 | + | 36.6176i | −0.305512 | + | 1.30280i | ||||
\(791\) | 16.7912 | + | 16.7912i | 0.597025 | + | 0.597025i | ||||
\(792\) | −13.6819 | + | 3.24568i | −0.486166 | + | 0.115330i | ||||
\(793\) | − | 0.677086i | − | 0.0240440i | ||||||
\(794\) | 3.18770 | + | 40.9752i | 0.113127 | + | 1.45416i | ||||
\(795\) | 3.60555 | − | 4.27475i | 0.127876 | − | 0.151610i | ||||
\(796\) | −35.7055 | + | 5.58930i | −1.26555 | + | 0.198107i | ||||
\(797\) | 7.76477 | − | 18.7458i | 0.275042 | − | 0.664011i | −0.724642 | − | 0.689125i | \(-0.757995\pi\) |
0.999685 | + | 0.0251143i | \(0.00799496\pi\) | |||||||
\(798\) | 1.44410 | − | 0.734170i | 0.0511207 | − | 0.0259893i | ||||
\(799\) | 57.8554 | 2.04678 | ||||||||
\(800\) | −23.0123 | − | 16.4449i | −0.813607 | − | 0.581415i | ||||
\(801\) | −25.6424 | −0.906029 | ||||||||
\(802\) | 13.7706 | − | 7.00085i | 0.486256 | − | 0.247209i | ||||
\(803\) | −3.67263 | + | 8.86651i | −0.129604 | + | 0.312892i | ||||
\(804\) | −0.883141 | − | 5.64167i | −0.0311460 | − | 0.198966i | ||||
\(805\) | −3.86497 | + | 4.58232i | −0.136222 | + | 0.161505i | ||||
\(806\) | −0.225651 | − | 2.90056i | −0.00794823 | − | 0.102168i | ||||
\(807\) | 4.78192i | 0.168332i | ||||||||
\(808\) | 13.2851 | − | 21.5484i | 0.467368 | − | 0.758072i | ||||
\(809\) | −1.75888 | − | 1.75888i | −0.0618389 | − | 0.0618389i | 0.675511 | − | 0.737350i | \(-0.263923\pi\) |
−0.737350 | + | 0.675511i | \(0.763923\pi\) | |||||||
\(810\) | −6.07174 | + | 25.8917i | −0.213339 | + | 0.909741i | ||||
\(811\) | −4.48133 | + | 10.8189i | −0.157361 | + | 0.379903i | −0.982822 | − | 0.184556i | \(-0.940915\pi\) |
0.825461 | + | 0.564459i | \(0.190915\pi\) | |||||||
\(812\) | −7.12438 | + | 29.4415i | −0.250017 | + | 1.03319i | ||||
\(813\) | −0.820668 | + | 1.98127i | −0.0287821 | + | 0.0694861i | ||||
\(814\) | 6.09544 | + | 11.9897i | 0.213645 | + | 0.420237i | ||||
\(815\) | −11.3689 | − | 21.9760i | −0.398234 | − | 0.769787i | ||||
\(816\) | 4.44370 | + | 5.24101i | 0.155561 | + | 0.183472i | ||||
\(817\) | 5.70259 | + | 5.70259i | 0.199508 | + | 0.199508i | ||||
\(818\) | −26.7491 | − | 8.71793i | −0.935259 | − | 0.304815i | ||||
\(819\) | 7.76441 | + | 18.7449i | 0.271310 | + | 0.655001i | ||||
\(820\) | 35.3864 | + | 21.4724i | 1.23575 | + | 0.749848i | ||||
\(821\) | −21.5004 | − | 8.90578i | −0.750371 | − | 0.310814i | −0.0254779 | − | 0.999675i | \(-0.508111\pi\) |
−0.724893 | + | 0.688862i | \(0.758111\pi\) | |||||||
\(822\) | 0.547817 | + | 7.04174i | 0.0191073 | + | 0.245609i | ||||
\(823\) | 17.6485i | 0.615187i | 0.951518 | + | 0.307594i | \(0.0995237\pi\) | ||||
−0.951518 | + | 0.307594i | \(0.900476\pi\) | |||||||
\(824\) | −20.6768 | − | 3.33217i | −0.720311 | − | 0.116081i | ||||
\(825\) | −1.25815 | + | 1.77746i | −0.0438030 | + | 0.0618830i | ||||
\(826\) | 6.09599 | + | 78.3588i | 0.212106 | + | 2.72645i | ||||
\(827\) | 11.1043 | − | 4.59956i | 0.386135 | − | 0.159942i | −0.181167 | − | 0.983452i | \(-0.557987\pi\) |
0.567302 | + | 0.823510i | \(0.307987\pi\) | |||||||
\(828\) | −0.589917 | − | 3.76850i | −0.0205010 | − | 0.130964i | ||||
\(829\) | 11.2515 | + | 27.1635i | 0.390781 | + | 0.943428i | 0.989770 | + | 0.142671i | \(0.0455692\pi\) |
−0.598989 | + | 0.800757i | \(0.704431\pi\) | |||||||
\(830\) | 43.4652 | + | 31.2303i | 1.50870 | + | 1.08402i | ||||
\(831\) | 0.831734i | 0.0288525i | ||||||||
\(832\) | 8.76701 | − | 10.1533i | 0.303941 | − | 0.352001i | ||||
\(833\) | 47.2989 | + | 47.2989i | 1.63881 | + | 1.63881i | ||||
\(834\) | −5.13272 | − | 1.67283i | −0.177731 | − | 0.0579254i | ||||
\(835\) | −9.71154 | − | 8.19124i | −0.336082 | − | 0.283470i | ||||
\(836\) | 2.15799 | − | 2.95900i | 0.0746357 | − | 0.102339i | ||||
\(837\) | −0.716074 | − | 1.72876i | −0.0247511 | − | 0.0597545i | ||||
\(838\) | 9.82707 | + | 8.40842i | 0.339470 | + | 0.290464i | ||||
\(839\) | −15.5757 | − | 15.5757i | −0.537734 | − | 0.537734i | 0.385129 | − | 0.922863i | \(-0.374157\pi\) |
−0.922863 | + | 0.385129i | \(0.874157\pi\) | |||||||
\(840\) | −6.36883 | + | 2.09386i | −0.219745 | + | 0.0722449i | ||||
\(841\) | 10.9695 | − | 10.9695i | 0.378260 | − | 0.378260i | ||||
\(842\) | 25.8570 | − | 2.01157i | 0.891092 | − | 0.0693232i | ||||
\(843\) | 1.36995 | − | 0.567454i | 0.0471837 | − | 0.0195441i | ||||
\(844\) | 6.40314 | − | 26.4610i | 0.220405 | − | 0.910825i | ||||
\(845\) | 22.7000 | − | 1.92768i | 0.780904 | − | 0.0663142i | ||||
\(846\) | −16.2777 | − | 32.0180i | −0.559638 | − | 1.10080i | ||||
\(847\) | −23.7049 | + | 23.7049i | −0.814511 | + | 0.814511i | ||||
\(848\) | 29.6863 | − | 25.1702i | 1.01943 | − | 0.864348i | ||||
\(849\) | −2.86271 | −0.0982478 | ||||||||
\(850\) | −46.7584 | − | 6.85781i | −1.60380 | − | 0.235221i | ||||
\(851\) | −3.37079 | + | 1.39622i | −0.115549 | + | 0.0478620i | ||||
\(852\) | −1.79064 | − | 0.433307i | −0.0613464 | − | 0.0148449i | ||||
\(853\) | 0.00207674 | + | 0.00501369i | 7.11061e−5 | + | 0.000171665i | 0.923915 | − | 0.382598i | \(-0.124970\pi\) |
−0.923844 | + | 0.382769i | \(0.874970\pi\) | |||||||
\(854\) | −1.53112 | + | 1.78945i | −0.0523939 | + | 0.0612336i | ||||
\(855\) | −3.25757 | − | 6.29688i | −0.111407 | − | 0.215349i | ||||
\(856\) | 6.36995 | + | 26.8521i | 0.217721 | + | 0.917786i | ||||
\(857\) | 32.4343 | 1.10794 | 0.553968 | − | 0.832538i | \(-0.313113\pi\) | ||||
0.553968 | + | 0.832538i | \(0.313113\pi\) | |||||||
\(858\) | −0.784756 | − | 0.671468i | −0.0267911 | − | 0.0229235i | ||||
\(859\) | 0.115888 | − | 0.279778i | 0.00395405 | − | 0.00954591i | −0.921890 | − | 0.387451i | \(-0.873356\pi\) |
0.925844 | + | 0.377905i | \(0.123356\pi\) | |||||||
\(860\) | −19.7350 | − | 26.9145i | −0.672959 | − | 0.917776i | ||||
\(861\) | 9.06417 | − | 3.75450i | 0.308906 | − | 0.127953i | ||||
\(862\) | −0.0578764 | − | 0.113842i | −0.00197128 | − | 0.00387748i | ||||
\(863\) | −8.86758 | + | 8.86758i | −0.301856 | + | 0.301856i | −0.841740 | − | 0.539884i | \(-0.818468\pi\) |
0.539884 | + | 0.841740i | \(0.318468\pi\) | |||||||
\(864\) | 3.33758 | − | 7.95612i | 0.113547 | − | 0.270673i | ||||
\(865\) | 7.74611 | + | 14.9732i | 0.263376 | + | 0.509105i | ||||
\(866\) | 25.7777 | + | 8.40136i | 0.875963 | + | 0.285490i | ||||
\(867\) | 6.57004 | + | 2.72140i | 0.223130 | + | 0.0924235i | ||||
\(868\) | −5.96278 | + | 8.17606i | −0.202390 | + | 0.277513i | ||||
\(869\) | 18.6196 | + | 7.71249i | 0.631626 | + | 0.261628i | ||||
\(870\) | −2.90611 | − | 0.681498i | −0.0985263 | − | 0.0231050i | ||||
\(871\) | −13.1711 | + | 13.1711i | −0.446285 | + | 0.446285i | ||||
\(872\) | −9.86125 | + | 2.33932i | −0.333944 | + | 0.0792194i | ||||
\(873\) | 0.574755 | 0.0194525 | ||||||||
\(874\) | 0.754844 | + | 0.645874i | 0.0255330 | + | 0.0218470i | ||||
\(875\) | 23.3594 | − | 39.7543i | 0.789693 | − | 1.34394i | ||||
\(876\) | −1.51676 | − | 2.48516i | −0.0512465 | − | 0.0839658i | ||||
\(877\) | −30.7451 | − | 12.7350i | −1.03819 | − | 0.430031i | −0.202527 | − | 0.979277i | \(-0.564915\pi\) |
−0.835661 | + | 0.549245i | \(0.814915\pi\) | |||||||
\(878\) | −39.5972 | − | 12.9054i | −1.33634 | − | 0.435535i | ||||
\(879\) | 0.201859i | 0.00680852i | ||||||||
\(880\) | −10.6893 | + | 10.7445i | −0.360336 | + | 0.362197i | ||||
\(881\) | − | 13.0165i | − | 0.438537i | −0.975665 | − | 0.219268i | \(-0.929633\pi\) | ||
0.975665 | − | 0.219268i | \(-0.0703671\pi\) | |||||||
\(882\) | 12.8683 | − | 39.4834i | 0.433297 | − | 1.32948i | ||||
\(883\) | 7.52417 | + | 3.11662i | 0.253209 | + | 0.104882i | 0.505678 | − | 0.862723i | \(-0.331243\pi\) |
−0.252469 | + | 0.967605i | \(0.581243\pi\) | |||||||
\(884\) | 5.27158 | − | 21.7848i | 0.177302 | − | 0.732702i | ||||
\(885\) | −7.71716 | + | 0.655340i | −0.259410 | + | 0.0220290i | ||||
\(886\) | −0.512403 | + | 0.598855i | −0.0172145 | + | 0.0201189i | ||||
\(887\) | −4.29355 | −0.144163 | −0.0720817 | − | 0.997399i | \(-0.522964\pi\) | ||||
−0.0720817 | + | 0.997399i | \(0.522964\pi\) | |||||||
\(888\) | −4.02839 | − | 0.649194i | −0.135184 | − | 0.0217855i | ||||
\(889\) | 31.9705 | − | 31.9705i | 1.07226 | − | 1.07226i | ||||
\(890\) | −23.4888 | + | 14.5650i | −0.787346 | + | 0.488219i | ||||
\(891\) | 13.1656 | + | 5.45337i | 0.441064 | + | 0.182695i | ||||
\(892\) | −6.46591 | − | 41.3054i | −0.216495 | − | 1.38301i | ||||
\(893\) | 8.64272 | + | 3.57993i | 0.289218 | + | 0.119798i | ||||
\(894\) | −0.220911 | + | 0.677818i | −0.00738838 | + | 0.0226696i | ||||
\(895\) | 23.8427 | + | 7.58447i | 0.796974 | + | 0.253521i | ||||
\(896\) | −46.1299 | + | 7.00851i | −1.54109 | + | 0.234138i | ||||
\(897\) | 0.198106 | − | 0.198106i | 0.00661456 | − | 0.00661456i | ||||
\(898\) | −25.7977 | + | 13.1153i | −0.860881 | + | 0.437665i | ||||
\(899\) | −4.16257 | + | 1.72419i | −0.138829 | + | 0.0575050i | ||||
\(900\) | 9.36030 | + | 27.8062i | 0.312010 | + | 0.926872i | ||||
\(901\) | 24.8860 | − | 60.0802i | 0.829073 | − | 2.00156i | ||||
\(902\) | 14.4196 | − | 16.8524i | 0.480120 | − | 0.561125i | ||||
\(903\) | −7.91074 | −0.263253 | ||||||||
\(904\) | −13.2012 | + | 9.53689i | −0.439067 | + | 0.317192i | ||||
\(905\) | 22.8586 | − | 11.8255i | 0.759846 | − | 0.393092i | ||||
\(906\) | −1.46680 | − | 1.25505i | −0.0487311 | − | 0.0416962i | ||||
\(907\) | 3.25588 | + | 7.86039i | 0.108110 | + | 0.261000i | 0.968671 | − | 0.248346i | \(-0.0798871\pi\) |
−0.860562 | + | 0.509347i | \(0.829887\pi\) | |||||||
\(908\) | −27.9656 | + | 17.0682i | −0.928072 | + | 0.566427i | ||||
\(909\) | −24.2601 | + | 10.0489i | −0.804656 | + | 0.333299i | ||||
\(910\) | 17.7595 | + | 12.7604i | 0.588723 | + | 0.423004i | ||||
\(911\) | −35.9659 | −1.19160 | −0.595802 | − | 0.803131i | \(-0.703166\pi\) | ||||
−0.595802 | + | 0.803131i | \(0.703166\pi\) | |||||||
\(912\) | 0.339522 | + | 1.05789i | 0.0112427 | + | 0.0350303i | ||||
\(913\) | 20.2793 | − | 20.2793i | 0.671148 | − | 0.671148i | ||||
\(914\) | 11.9327 | − | 6.06648i | 0.394698 | − | 0.200661i | ||||
\(915\) | −0.177398 | − | 0.149627i | −0.00586461 | − | 0.00494653i | ||||
\(916\) | −1.01097 | + | 0.617022i | −0.0334034 | + | 0.0203870i | ||||
\(917\) | 7.83874 | − | 3.24691i | 0.258858 | − | 0.107222i | ||||
\(918\) | −1.11810 | − | 14.3723i | −0.0369029 | − | 0.474357i | ||||
\(919\) | 24.9532 | − | 24.9532i | 0.823129 | − | 0.823129i | −0.163427 | − | 0.986555i | \(-0.552255\pi\) |
0.986555 | + | 0.163427i | \(0.0522547\pi\) | |||||||
\(920\) | −2.68090 | − | 3.11692i | −0.0883865 | − | 0.102762i | ||||
\(921\) | −1.94795 | − | 1.94795i | −0.0641870 | − | 0.0641870i | ||||
\(922\) | 17.6921 | − | 20.6771i | 0.582659 | − | 0.680963i | ||||
\(923\) | 2.29973 | + | 5.55204i | 0.0756966 | + | 0.182748i | ||||
\(924\) | 0.555587 | + | 3.54919i | 0.0182775 | + | 0.116760i | ||||
\(925\) | 23.7451 | − | 14.9576i | 0.780733 | − | 0.491802i | ||||
\(926\) | −7.22855 | + | 22.1792i | −0.237545 | + | 0.728854i | ||||
\(927\) | 15.3618 | + | 15.3618i | 0.504547 | + | 0.504547i | ||||
\(928\) | −19.1571 | − | 8.03635i | −0.628861 | − | 0.263806i | ||||
\(929\) | − | 42.1006i | − | 1.38128i | −0.723200 | − | 0.690639i | \(-0.757330\pi\) | ||
0.723200 | − | 0.690639i | \(-0.242670\pi\) | |||||||
\(930\) | −0.809820 | − | 0.581865i | −0.0265550 | − | 0.0190801i | ||||
\(931\) | 4.13901 | + | 9.99245i | 0.135651 | + | 0.327489i | ||||
\(932\) | 2.90970 | − | 3.98973i | 0.0953105 | − | 0.130688i | ||||
\(933\) | 6.06447 | − | 2.51199i | 0.198542 | − | 0.0822387i | ||||
\(934\) | 43.1115 | − | 3.35390i | 1.41065 | − | 0.109743i | ||||
\(935\) | −7.67643 | + | 24.1318i | −0.251046 | + | 0.789194i | ||||
\(936\) | −13.5392 | + | 3.21181i | −0.442542 | + | 0.104981i | ||||
\(937\) | − | 7.33789i | − | 0.239718i | −0.992791 | − | 0.119859i | \(-0.961756\pi\) | ||
0.992791 | − | 0.119859i | \(-0.0382443\pi\) | |||||||
\(938\) | 64.5936 | − | 5.02511i | 2.10906 | − | 0.164076i | ||||
\(939\) | −0.281844 | − | 0.116744i | −0.00919763 | − | 0.00380978i | ||||
\(940\) | −33.0970 | − | 20.0832i | −1.07950 | − | 0.655041i | ||||
\(941\) | −7.31958 | − | 17.6710i | −0.238611 | − | 0.576059i | 0.758528 | − | 0.651640i | \(-0.225919\pi\) |
−0.997140 | + | 0.0755813i | \(0.975919\pi\) | |||||||
\(942\) | 0.859417 | − | 2.63693i | 0.0280013 | − | 0.0859159i | ||||
\(943\) | 4.25428 | + | 4.25428i | 0.138538 | + | 0.138538i | ||||
\(944\) | −53.7209 | − | 4.42266i | −1.74847 | − | 0.143945i | ||||
\(945\) | 13.4033 | + | 4.26366i | 0.436011 | + | 0.138697i | ||||
\(946\) | −15.9417 | + | 8.10465i | −0.518311 | + | 0.263505i | ||||
\(947\) | −18.7957 | + | 45.3769i | −0.610779 | + | 1.47455i | 0.251366 | + | 0.967892i | \(0.419120\pi\) |
−0.862146 | + | 0.506660i | \(0.830880\pi\) | |||||||
\(948\) | −5.21881 | + | 3.18518i | −0.169499 | + | 0.103450i | ||||
\(949\) | −3.63431 | + | 8.77399i | −0.117975 | + | 0.284816i | ||||
\(950\) | −6.56064 | − | 3.91773i | −0.212855 | − | 0.127108i | ||||
\(951\) | −4.99768 | − | 4.99768i | −0.162061 | − | 0.162061i | ||||
\(952\) | −63.1948 | + | 45.6534i | −2.04816 | + | 1.47964i | ||||
\(953\) | 33.2555i | 1.07725i | 0.842545 | + | 0.538626i | \(0.181056\pi\) | ||||
−0.842545 | + | 0.538626i | \(0.818944\pi\) | |||||||
\(954\) | −40.2509 | + | 3.13135i | −1.30317 | + | 0.101381i | ||||
\(955\) | −40.2983 | − | 33.9898i | −1.30402 | − | 1.09988i | ||||
\(956\) | 33.8536 | + | 24.6894i | 1.09491 | + | 0.798512i | ||||
\(957\) | −0.612092 | + | 1.47772i | −0.0197861 | + | 0.0477679i | ||||
\(958\) | −3.81699 | − | 7.50797i | −0.123321 | − | 0.242571i | ||||
\(959\) | −80.1356 | −2.58771 | ||||||||
\(960\) | −0.722783 | − | 4.54072i | −0.0233277 | − | 0.146551i | ||||
\(961\) | 29.4948 | 0.951446 | ||||||||
\(962\) | 6.03184 | + | 11.8645i | 0.194474 | + | 0.382528i | ||||
\(963\) | 10.9550 | − | 26.4477i | 0.353020 | − | 0.852265i | ||||
\(964\) | −29.2626 | − | 21.3412i | −0.942486 | − | 0.687353i | ||||
\(965\) | −10.4343 | + | 0.886077i | −0.335892 | + | 0.0285238i | ||||
\(966\) | −0.971551 | + | 0.0755826i | −0.0312591 | + | 0.00243183i | ||||
\(967\) | − | 24.2489i | − | 0.779792i | −0.920859 | − | 0.389896i | \(-0.872511\pi\) | ||
0.920859 | − | 0.389896i | \(-0.127489\pi\) | |||||||
\(968\) | −13.4637 | − | 18.6369i | −0.432740 | − | 0.599012i | ||||
\(969\) | 1.31265 | + | 1.31265i | 0.0421685 | + | 0.0421685i | ||||
\(970\) | 0.526485 | − | 0.326464i | 0.0169044 | − | 0.0104821i | ||||
\(971\) | 4.29335 | − | 10.3651i | 0.137780 | − | 0.332631i | −0.839896 | − | 0.542747i | \(-0.817384\pi\) |
0.977676 | + | 0.210116i | \(0.0673842\pi\) | |||||||
\(972\) | −11.5014 | + | 7.01961i | −0.368907 | + | 0.225154i | ||||
\(973\) | 23.4392 | − | 56.5873i | 0.751427 | − | 1.81411i | ||||
\(974\) | −34.0634 | + | 17.3175i | −1.09146 | + | 0.554890i | ||||
\(975\) | −1.24502 | + | 1.75891i | −0.0398725 | + | 0.0563301i | ||||
\(976\) | −1.04454 | − | 1.23196i | −0.0334349 | − | 0.0394340i | ||||
\(977\) | −23.5053 | − | 23.5053i | −0.752001 | − | 0.752001i | 0.222852 | − | 0.974852i | \(-0.428463\pi\) |
−0.974852 | + | 0.222852i | \(0.928463\pi\) | |||||||
\(978\) | 1.24636 | − | 3.82417i | 0.0398541 | − | 0.122284i | ||||
\(979\) | 5.66745 | + | 13.6824i | 0.181132 | + | 0.437292i | ||||
\(980\) | −10.6392 | − | 43.4766i | −0.339858 | − | 1.38881i | ||||
\(981\) | 9.71273 | + | 4.02314i | 0.310104 | + | 0.128449i | ||||
\(982\) | 46.6614 | − | 3.63006i | 1.48902 | − | 0.115840i | ||||
\(983\) | − | 4.02651i | − | 0.128426i | −0.997936 | − | 0.0642128i | \(-0.979546\pi\) | ||
0.997936 | − | 0.0642128i | \(-0.0204536\pi\) | |||||||
\(984\) | 1.55308 | + | 6.54690i | 0.0495104 | + | 0.208708i | ||||
\(985\) | −23.3620 | − | 7.43154i | −0.744374 | − | 0.236789i | ||||
\(986\) | −34.6062 | + | 2.69222i | −1.10209 | + | 0.0857376i | ||||
\(987\) | −8.47775 | + | 3.51160i | −0.269850 | + | 0.111775i | ||||
\(988\) | 2.13547 | − | 2.92813i | 0.0679385 | − | 0.0931561i | ||||
\(989\) | −1.85646 | − | 4.48188i | −0.0590318 | − | 0.142515i | ||||
\(990\) | 15.5146 | − | 2.54126i | 0.493088 | − | 0.0807666i | ||||
\(991\) | − | 2.24400i | − | 0.0712830i | −0.999365 | − | 0.0356415i | \(-0.988653\pi\) | ||
0.999365 | − | 0.0356415i | \(-0.0113474\pi\) | |||||||
\(992\) | −4.88526 | − | 4.92945i | −0.155107 | − | 0.156510i | ||||
\(993\) | 3.47397 | + | 3.47397i | 0.110243 | + | 0.110243i | ||||
\(994\) | 6.47716 | − | 19.8738i | 0.205443 | − | 0.630357i | ||||
\(995\) | 40.2612 | − | 3.41897i | 1.27636 | − | 0.108389i | ||||
\(996\) | 1.34557 | + | 8.59577i | 0.0426361 | + | 0.272367i | ||||
\(997\) | −2.45350 | − | 5.92328i | −0.0777032 | − | 0.187592i | 0.880254 | − | 0.474502i | \(-0.157372\pi\) |
−0.957958 | + | 0.286910i | \(0.907372\pi\) | |||||||
\(998\) | −10.0285 | + | 11.7205i | −0.317446 | + | 0.371004i | ||||
\(999\) | 6.05316 | + | 6.05316i | 0.191514 | + | 0.191514i |
(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 | 160.2.u.a.43.15 | ✓ | 88 | |
4.3 | odd | 2 | 640.2.u.a.463.11 | 88 | |||
5.2 | odd | 4 | 160.2.ba.a.107.4 | yes | 88 | ||
5.3 | odd | 4 | 800.2.bb.b.107.19 | 88 | |||
5.4 | even | 2 | 800.2.v.b.43.8 | 88 | |||
20.7 | even | 4 | 640.2.ba.a.207.12 | 88 | |||
32.3 | odd | 8 | 160.2.ba.a.3.4 | yes | 88 | ||
32.29 | even | 8 | 640.2.ba.a.303.12 | 88 | |||
160.3 | even | 8 | 800.2.v.b.707.8 | 88 | |||
160.67 | even | 8 | inner | 160.2.u.a.67.15 | yes | 88 | |
160.99 | odd | 8 | 800.2.bb.b.643.19 | 88 | |||
160.157 | odd | 8 | 640.2.u.a.47.11 | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
160.2.u.a.43.15 | ✓ | 88 | 1.1 | even | 1 | trivial | |
160.2.u.a.67.15 | yes | 88 | 160.67 | even | 8 | inner | |
160.2.ba.a.3.4 | yes | 88 | 32.3 | odd | 8 | ||
160.2.ba.a.107.4 | yes | 88 | 5.2 | odd | 4 | ||
640.2.u.a.47.11 | 88 | 160.157 | odd | 8 | |||
640.2.u.a.463.11 | 88 | 4.3 | odd | 2 | |||
640.2.ba.a.207.12 | 88 | 20.7 | even | 4 | |||
640.2.ba.a.303.12 | 88 | 32.29 | even | 8 | |||
800.2.v.b.43.8 | 88 | 5.4 | even | 2 | |||
800.2.v.b.707.8 | 88 | 160.3 | even | 8 | |||
800.2.bb.b.107.19 | 88 | 5.3 | odd | 4 | |||
800.2.bb.b.643.19 | 88 | 160.99 | odd | 8 |