Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [810,2,Mod(17,810)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(810, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([22, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("810.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 810 = 2 \cdot 3^{4} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 810.s (of order \(36\), degree \(12\), not 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: | \(6.46788256372\) |
Analytic rank: | \(0\) |
Dimension: | \(216\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{36})\) |
Twist minimal: | no (minimal twist has level 270) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 773.7 | ||
Character | \(\chi\) | \(=\) | 810.773 |
Dual form | 810.2.s.a.197.7 |
$q$-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 \(\left(\mathbb{Z}/810\mathbb{Z}\right)^\times\).
\(n\) | \(487\) | \(731\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{5}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.996195 | − | 0.0871557i | −0.704416 | − | 0.0616284i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.984808 | + | 0.173648i | 0.492404 | + | 0.0868241i | ||||
\(5\) | 1.39703 | − | 1.74594i | 0.624772 | − | 0.780807i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.564372 | + | 0.395177i | 0.213312 | + | 0.149363i | 0.675350 | − | 0.737497i | \(-0.263993\pi\) |
−0.462038 | + | 0.886860i | \(0.652881\pi\) | |||||||
\(8\) | −0.965926 | − | 0.258819i | −0.341506 | − | 0.0915064i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −1.54388 | + | 1.61754i | −0.488219 | + | 0.511509i | ||||
\(11\) | −1.76146 | + | 4.83957i | −0.531100 | + | 1.45919i | 0.326663 | + | 0.945141i | \(0.394076\pi\) |
−0.857763 | + | 0.514045i | \(0.828147\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.446561 | + | 5.10422i | 0.123854 | + | 1.41565i | 0.762915 | + | 0.646499i | \(0.223767\pi\) |
−0.639061 | + | 0.769156i | \(0.720677\pi\) | |||||||
\(14\) | −0.527782 | − | 0.442862i | −0.141056 | − | 0.118360i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.939693 | + | 0.342020i | 0.234923 | + | 0.0855050i | ||||
\(17\) | −0.221302 | + | 0.0592977i | −0.0536736 | + | 0.0143818i | −0.285556 | − | 0.958362i | \(-0.592178\pi\) |
0.231882 | + | 0.972744i | \(0.425512\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −6.21536 | + | 3.58844i | −1.42590 | + | 0.823245i | −0.996794 | − | 0.0800089i | \(-0.974505\pi\) |
−0.429107 | + | 0.903253i | \(0.641172\pi\) | |||||||
\(20\) | 1.67899 | − | 1.47682i | 0.375433 | − | 0.330227i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 2.17655 | − | 4.66763i | 0.464043 | − | 0.995143i | ||||
\(23\) | 4.94460 | + | 7.06162i | 1.03102 | + | 1.47245i | 0.874653 | + | 0.484749i | \(0.161089\pi\) |
0.156366 | + | 0.987699i | \(0.450022\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.09660 | − | 4.87826i | −0.219320 | − | 0.975653i | ||||
\(26\) | − | 5.12371i | − | 1.00484i | ||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.487176 | + | 0.487176i | 0.0920675 | + | 0.0920675i | ||||
\(29\) | 3.94345 | − | 3.30895i | 0.732281 | − | 0.614457i | −0.198471 | − | 0.980107i | \(-0.563598\pi\) |
0.930752 | + | 0.365650i | \(0.119153\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.210869 | − | 1.19590i | 0.0378731 | − | 0.214789i | −0.959998 | − | 0.280007i | \(-0.909663\pi\) |
0.997871 | + | 0.0652179i | \(0.0207743\pi\) | |||||||
\(32\) | −0.906308 | − | 0.422618i | −0.160214 | − | 0.0747091i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.225628 | − | 0.0397843i | 0.0386949 | − | 0.00682295i | ||||
\(35\) | 1.47840 | − | 0.433282i | 0.249895 | − | 0.0732381i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.11922 | + | 7.90903i | 0.348397 | + | 1.30024i | 0.888593 | + | 0.458697i | \(0.151684\pi\) |
−0.540196 | + | 0.841539i | \(0.681650\pi\) | |||||||
\(38\) | 6.50446 | − | 3.03308i | 1.05516 | − | 0.492031i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −1.80131 | + | 1.32487i | −0.284812 | + | 0.209480i | ||||
\(41\) | 5.46868 | − | 6.51731i | 0.854064 | − | 1.01783i | −0.145531 | − | 0.989354i | \(-0.546489\pi\) |
0.999594 | − | 0.0284797i | \(-0.00906659\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.185563 | − | 0.397941i | −0.0282981 | − | 0.0606854i | 0.891651 | − | 0.452724i | \(-0.149548\pi\) |
−0.919949 | + | 0.392039i | \(0.871770\pi\) | |||||||
\(44\) | −2.57508 | + | 4.46017i | −0.388208 | + | 0.672396i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −4.31032 | − | 7.46569i | −0.635522 | − | 1.10076i | ||||
\(47\) | 2.03954 | − | 2.91277i | 0.297498 | − | 0.424871i | −0.642377 | − | 0.766388i | \(-0.722052\pi\) |
0.939876 | + | 0.341517i | \(0.110941\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −2.23179 | − | 6.13179i | −0.318827 | − | 0.875971i | ||||
\(50\) | 0.667259 | + | 4.95528i | 0.0943647 | + | 0.700782i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.446561 | + | 5.10422i | −0.0619269 | + | 0.707827i | ||||
\(53\) | −8.07298 | + | 8.07298i | −1.10891 | + | 1.10891i | −0.115615 | + | 0.993294i | \(0.536884\pi\) |
−0.993294 | + | 0.115615i | \(0.963116\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 5.98878 | + | 9.83644i | 0.807526 | + | 1.32634i | ||||
\(56\) | −0.442862 | − | 0.527782i | −0.0591799 | − | 0.0705278i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −4.21684 | + | 2.95266i | −0.553698 | + | 0.387704i | ||||
\(59\) | −2.64552 | + | 0.962890i | −0.344417 | + | 0.125358i | −0.508436 | − | 0.861100i | \(-0.669776\pi\) |
0.164019 | + | 0.986457i | \(0.447554\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.117426 | − | 0.665953i | −0.0150348 | − | 0.0852666i | 0.976367 | − | 0.216119i | \(-0.0693398\pi\) |
−0.991402 | + | 0.130852i | \(0.958229\pi\) | |||||||
\(62\) | −0.314295 | + | 1.17297i | −0.0399156 | + | 0.148967i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0.866025 | + | 0.500000i | 0.108253 | + | 0.0625000i | ||||
\(65\) | 9.53550 | + | 6.35109i | 1.18273 | + | 0.787755i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 9.55113 | − | 0.835616i | 1.16686 | − | 0.102087i | 0.512783 | − | 0.858518i | \(-0.328614\pi\) |
0.654073 | + | 0.756431i | \(0.273059\pi\) | |||||||
\(68\) | −0.228237 | + | 0.0199681i | −0.0276778 | + | 0.00242149i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −1.51054 | + | 0.302783i | −0.180544 | + | 0.0361894i | ||||
\(71\) | 0.366992 | + | 0.211883i | 0.0435540 | + | 0.0251459i | 0.521619 | − | 0.853179i | \(-0.325328\pi\) |
−0.478065 | + | 0.878325i | \(0.658662\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −1.47394 | + | 5.50083i | −0.172512 | + | 0.643823i | 0.824450 | + | 0.565934i | \(0.191484\pi\) |
−0.996962 | + | 0.0778885i | \(0.975182\pi\) | |||||||
\(74\) | −1.42184 | − | 8.06363i | −0.165285 | − | 0.937378i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −6.74406 | + | 2.45464i | −0.773597 | + | 0.281566i | ||||
\(77\) | −2.90661 | + | 2.03523i | −0.331238 | + | 0.231936i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 3.26214 | + | 3.88766i | 0.367019 | + | 0.437396i | 0.917672 | − | 0.397338i | \(-0.130066\pi\) |
−0.550653 | + | 0.834734i | \(0.685621\pi\) | |||||||
\(80\) | 1.90993 | − | 1.16283i | 0.213536 | − | 0.130009i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −6.01589 | + | 6.01589i | −0.664344 | + | 0.664344i | ||||
\(83\) | −0.605842 | + | 6.92481i | −0.0664998 | + | 0.760096i | 0.887601 | + | 0.460612i | \(0.152370\pi\) |
−0.954101 | + | 0.299484i | \(0.903185\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.205636 | + | 0.469221i | −0.0223044 | + | 0.0508941i | ||||
\(86\) | 0.150174 | + | 0.412600i | 0.0161937 | + | 0.0444918i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 2.95401 | − | 4.21877i | 0.314899 | − | 0.449722i | ||||
\(89\) | −0.102987 | − | 0.178379i | −0.0109166 | − | 0.0189081i | 0.860515 | − | 0.509424i | \(-0.170142\pi\) |
−0.871432 | + | 0.490516i | \(0.836808\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.76504 | + | 3.05714i | −0.185027 | + | 0.320476i | ||||
\(92\) | 3.64324 | + | 7.81295i | 0.379834 | + | 0.814557i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −2.28565 | + | 2.72393i | −0.235747 | + | 0.280952i | ||||
\(95\) | −2.41787 | + | 15.8648i | −0.248068 | + | 1.62769i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 12.2584 | − | 5.71617i | 1.24465 | − | 0.580389i | 0.315090 | − | 0.949062i | \(-0.397965\pi\) |
0.929559 | + | 0.368672i | \(0.120188\pi\) | |||||||
\(98\) | 1.68888 | + | 6.30297i | 0.170602 | + | 0.636697i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.232839 | − | 4.99458i | −0.0232839 | − | 0.499458i | ||||
\(101\) | 7.78401 | − | 1.37253i | 0.774538 | − | 0.136572i | 0.227611 | − | 0.973752i | \(-0.426909\pi\) |
0.546927 | + | 0.837180i | \(0.315797\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.200790 | + | 0.0936298i | 0.0197844 | + | 0.00922562i | 0.432485 | − | 0.901641i | \(-0.357637\pi\) |
−0.412701 | + | 0.910867i | \(0.635415\pi\) | |||||||
\(104\) | 0.889723 | − | 5.04587i | 0.0872445 | − | 0.494788i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 8.74587 | − | 7.33865i | 0.849474 | − | 0.712793i | ||||
\(107\) | −6.83610 | − | 6.83610i | −0.660871 | − | 0.660871i | 0.294714 | − | 0.955585i | \(-0.404775\pi\) |
−0.955585 | + | 0.294714i | \(0.904775\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 1.60043i | 0.153293i | 0.997058 | + | 0.0766466i | \(0.0244213\pi\) | ||||
−0.997058 | + | 0.0766466i | \(0.975579\pi\) | |||||||
\(110\) | −5.10868 | − | 10.3210i | −0.487094 | − | 0.984065i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0.395177 | + | 0.564372i | 0.0373407 | + | 0.0533281i | ||||
\(113\) | 1.85991 | − | 3.98858i | 0.174965 | − | 0.375215i | −0.799195 | − | 0.601072i | \(-0.794741\pi\) |
0.974160 | + | 0.225857i | \(0.0725183\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 19.2369 | + | 1.23235i | 1.79385 | + | 0.114917i | ||||
\(116\) | 4.45814 | − | 2.57391i | 0.413928 | − | 0.238981i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 2.71937 | − | 0.728654i | 0.250339 | − | 0.0670780i | ||||
\(119\) | −0.148330 | − | 0.0539876i | −0.0135974 | − | 0.00494903i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −11.8922 | − | 9.97875i | −1.08111 | − | 0.907160i | ||||
\(122\) | 0.0589371 | + | 0.673654i | 0.00533591 | + | 0.0609897i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0.415330 | − | 1.14111i | 0.0372978 | − | 0.102475i | ||||
\(125\) | −10.0491 | − | 4.90050i | −0.898822 | − | 0.438314i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 6.09265 | + | 1.63252i | 0.540635 | + | 0.144863i | 0.518795 | − | 0.854899i | \(-0.326381\pi\) |
0.0218403 | + | 0.999761i | \(0.493047\pi\) | |||||||
\(128\) | −0.819152 | − | 0.573576i | −0.0724035 | − | 0.0506975i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −8.94569 | − | 7.15799i | −0.784589 | − | 0.627797i | ||||
\(131\) | −10.6165 | − | 1.87197i | −0.927564 | − | 0.163555i | −0.310595 | − | 0.950542i | \(-0.600528\pi\) |
−0.616969 | + | 0.786988i | \(0.711639\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −4.92584 | − | 0.430955i | −0.427125 | − | 0.0373686i | ||||
\(134\) | −9.58761 | −0.828244 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0.229109 | 0.0196459 | ||||||||
\(137\) | 2.92252 | + | 0.255687i | 0.249687 | + | 0.0218448i | 0.211312 | − | 0.977419i | \(-0.432226\pi\) |
0.0383751 | + | 0.999263i | \(0.487782\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −1.01355 | − | 0.178717i | −0.0859686 | − | 0.0151586i | 0.130498 | − | 0.991449i | \(-0.458342\pi\) |
−0.216467 | + | 0.976290i | \(0.569453\pi\) | |||||||
\(140\) | 1.53118 | − | 0.169978i | 0.129408 | − | 0.0143658i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −0.347129 | − | 0.243062i | −0.0291304 | − | 0.0203973i | ||||
\(143\) | −25.4888 | − | 6.82971i | −2.13148 | − | 0.571129i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.268091 | − | 11.5077i | −0.0222637 | − | 0.955666i | ||||
\(146\) | 1.94776 | − | 5.35143i | 0.161198 | − | 0.442888i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0.713634 | + | 8.15687i | 0.0586603 | + | 0.670491i | ||||
\(149\) | 5.53064 | + | 4.64076i | 0.453087 | + | 0.380186i | 0.840580 | − | 0.541687i | \(-0.182214\pi\) |
−0.387493 | + | 0.921873i | \(0.626659\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −11.6383 | − | 4.23600i | −0.947113 | − | 0.344721i | −0.178142 | − | 0.984005i | \(-0.557009\pi\) |
−0.768971 | + | 0.639284i | \(0.779231\pi\) | |||||||
\(152\) | 6.93233 | − | 1.85751i | 0.562287 | − | 0.150664i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 3.07293 | − | 1.77416i | 0.247624 | − | 0.142966i | ||||
\(155\) | −1.79337 | − | 2.03887i | −0.144047 | − | 0.163766i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 3.34167 | − | 7.16624i | 0.266695 | − | 0.571929i | −0.726663 | − | 0.686994i | \(-0.758930\pi\) |
0.993358 | + | 0.115065i | \(0.0367077\pi\) | |||||||
\(158\) | −2.91089 | − | 4.15718i | −0.231578 | − | 0.330728i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −2.00401 | + | 0.991946i | −0.158431 | + | 0.0784202i | ||||
\(161\) | 5.93937i | 0.468088i | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 12.4778 | + | 12.4778i | 0.977336 | + | 0.977336i | 0.999749 | − | 0.0224123i | \(-0.00713466\pi\) |
−0.0224123 | + | 0.999749i | \(0.507135\pi\) | |||||||
\(164\) | 6.51731 | − | 5.46868i | 0.508917 | − | 0.427032i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 1.20707 | − | 6.84565i | 0.0936871 | − | 0.531326i | ||||
\(167\) | −3.11445 | − | 1.45229i | −0.241003 | − | 0.112382i | 0.298364 | − | 0.954452i | \(-0.403559\pi\) |
−0.539368 | + | 0.842070i | \(0.681337\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −13.0511 | + | 2.30126i | −1.00393 | + | 0.177020i | ||||
\(170\) | 0.245749 | − | 0.449513i | 0.0188481 | − | 0.0344761i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −0.113642 | − | 0.424118i | −0.00866513 | − | 0.0323387i | ||||
\(173\) | −13.4689 | + | 6.28066i | −1.02402 | + | 0.477510i | −0.860727 | − | 0.509067i | \(-0.829990\pi\) |
−0.163296 | + | 0.986577i | \(0.552213\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 1.30889 | − | 3.18651i | 0.0989427 | − | 0.240877i | ||||
\(176\) | −3.31046 | + | 3.94525i | −0.249535 | + | 0.297385i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0.0870485 | + | 0.186676i | 0.00652456 | + | 0.0139920i | ||||
\(179\) | 1.61541 | − | 2.79798i | 0.120742 | − | 0.209131i | −0.799319 | − | 0.600907i | \(-0.794806\pi\) |
0.920060 | + | 0.391777i | \(0.128139\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −8.58566 | − | 14.8708i | −0.638167 | − | 1.10534i | −0.985835 | − | 0.167720i | \(-0.946360\pi\) |
0.347668 | − | 0.937618i | \(-0.386974\pi\) | |||||||
\(182\) | 2.02477 | − | 2.89168i | 0.150086 | − | 0.214345i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −2.94843 | − | 8.10075i | −0.217361 | − | 0.597195i | ||||
\(185\) | 16.7693 | + | 7.34914i | 1.23290 | + | 0.540320i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.102839 | − | 1.17546i | 0.00752035 | − | 0.0859580i | ||||
\(188\) | 2.51436 | − | 2.51436i | 0.183378 | − | 0.183378i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 3.79137 | − | 15.5937i | 0.275055 | − | 1.13129i | ||||
\(191\) | −11.2591 | − | 13.4180i | −0.814678 | − | 0.970895i | 0.185253 | − | 0.982691i | \(-0.440690\pi\) |
−0.999930 | + | 0.0117957i | \(0.996245\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −4.88801 | + | 3.42262i | −0.351847 | + | 0.246366i | −0.736116 | − | 0.676855i | \(-0.763342\pi\) |
0.384269 | + | 0.923221i | \(0.374453\pi\) | |||||||
\(194\) | −12.7099 | + | 4.62603i | −0.912519 | + | 0.332130i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −1.13311 | − | 6.42619i | −0.0809364 | − | 0.459013i | ||||
\(197\) | 2.16270 | − | 8.07130i | 0.154086 | − | 0.575057i | −0.845096 | − | 0.534615i | \(-0.820457\pi\) |
0.999182 | − | 0.0404419i | \(-0.0128766\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 11.6465 | + | 6.72410i | 0.825598 | + | 0.476659i | 0.852343 | − | 0.522983i | \(-0.175181\pi\) |
−0.0267452 | + | 0.999642i | \(0.508514\pi\) | |||||||
\(200\) | −0.203353 | + | 4.99586i | −0.0143792 | + | 0.353261i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −7.87401 | + | 0.688887i | −0.554014 | + | 0.0484699i | ||||
\(203\) | 3.53319 | − | 0.309114i | 0.247982 | − | 0.0216956i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −3.73891 | − | 18.6529i | −0.261137 | − | 1.30277i | ||||
\(206\) | −0.191865 | − | 0.110773i | −0.0133679 | − | 0.00771795i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −1.32611 | + | 4.94913i | −0.0919495 | + | 0.343160i | ||||
\(209\) | −6.41840 | − | 36.4006i | −0.443970 | − | 2.51788i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 3.60818 | − | 1.31327i | 0.248397 | − | 0.0904092i | −0.214821 | − | 0.976653i | \(-0.568917\pi\) |
0.463218 | + | 0.886244i | \(0.346695\pi\) | |||||||
\(212\) | −9.35219 | + | 6.54848i | −0.642311 | + | 0.449751i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 6.21428 | + | 7.40590i | 0.424800 | + | 0.506257i | ||||
\(215\) | −0.954018 | − | 0.231955i | −0.0650635 | − | 0.0158192i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.591599 | − | 0.591599i | 0.0401604 | − | 0.0401604i | ||||
\(218\) | 0.139486 | − | 1.59434i | 0.00944721 | − | 0.107982i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 4.18971 | + | 10.7269i | 0.282470 | + | 0.723210i | ||||
\(221\) | −0.401493 | − | 1.10309i | −0.0270074 | − | 0.0742021i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 6.34138 | − | 9.05643i | 0.424650 | − | 0.606464i | −0.548635 | − | 0.836062i | \(-0.684852\pi\) |
0.973285 | + | 0.229598i | \(0.0737413\pi\) | |||||||
\(224\) | −0.344485 | − | 0.596666i | −0.0230169 | − | 0.0398664i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −2.20046 | + | 3.81131i | −0.146372 | + | 0.253524i | ||||
\(227\) | 9.15998 | + | 19.6436i | 0.607969 | + | 1.30379i | 0.933607 | + | 0.358300i | \(0.116643\pi\) |
−0.325637 | + | 0.945495i | \(0.605579\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 9.61516 | − | 11.4589i | 0.635387 | − | 0.757225i | −0.348247 | − | 0.937403i | \(-0.613223\pi\) |
0.983634 | + | 0.180178i | \(0.0576673\pi\) | |||||||
\(230\) | −19.0563 | − | 2.90426i | −1.25653 | − | 0.191501i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −4.66550 | + | 2.17556i | −0.306305 | + | 0.142832i | ||||
\(233\) | −6.09991 | − | 22.7652i | −0.399618 | − | 1.49140i | −0.813770 | − | 0.581188i | \(-0.802588\pi\) |
0.414151 | − | 0.910208i | \(-0.364078\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −2.23621 | − | 7.63015i | −0.145874 | − | 0.497736i | ||||
\(236\) | −2.77253 | + | 0.488872i | −0.180476 | + | 0.0318229i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0.143060 | + | 0.0667099i | 0.00927320 | + | 0.00432416i | ||||
\(239\) | −1.97913 | + | 11.2242i | −0.128019 | + | 0.726032i | 0.851450 | + | 0.524436i | \(0.175724\pi\) |
−0.979469 | + | 0.201596i | \(0.935387\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −16.7492 | + | 14.0543i | −1.07891 | + | 0.905316i | −0.995830 | − | 0.0912265i | \(-0.970921\pi\) |
−0.0830836 | + | 0.996543i | \(0.526477\pi\) | |||||||
\(242\) | 10.9773 | + | 10.9773i | 0.705645 | + | 0.705645i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | − | 0.676227i | − | 0.0432910i | ||||||
\(245\) | −13.8236 | − | 4.66975i | −0.883159 | − | 0.298339i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −21.0917 | − | 30.1221i | −1.34203 | − | 1.91662i | ||||
\(248\) | −0.513204 | + | 1.10057i | −0.0325885 | + | 0.0698863i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 9.58379 | + | 5.75769i | 0.606132 | + | 0.364148i | ||||
\(251\) | 16.5931 | − | 9.58004i | 1.04735 | − | 0.604687i | 0.125443 | − | 0.992101i | \(-0.459965\pi\) |
0.921906 | + | 0.387414i | \(0.126632\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −42.8849 | + | 11.4910i | −2.69615 | + | 0.722431i | ||||
\(254\) | −5.92718 | − | 2.15732i | −0.371904 | − | 0.135362i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.766044 | + | 0.642788i | 0.0478778 | + | 0.0401742i | ||||
\(257\) | 0.0985374 | + | 1.12629i | 0.00614659 | + | 0.0702559i | 0.998648 | − | 0.0519736i | \(-0.0165512\pi\) |
−0.992502 | + | 0.122229i | \(0.960996\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −1.92944 | + | 5.30110i | −0.119890 | + | 0.329394i | ||||
\(260\) | 8.28778 | + | 7.91042i | 0.513987 | + | 0.490584i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 10.4129 | + | 2.79013i | 0.643311 | + | 0.172375i | ||||
\(263\) | 20.7388 | + | 14.5214i | 1.27881 | + | 0.895431i | 0.997930 | − | 0.0643126i | \(-0.0204855\pi\) |
0.280878 | + | 0.959743i | \(0.409374\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 2.81671 | + | 25.3731i | 0.173029 | + | 1.55866i | ||||
\(266\) | 4.86954 | + | 0.858631i | 0.298571 | + | 0.0526460i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 9.55113 | + | 0.835616i | 0.583428 | + | 0.0510433i | ||||
\(269\) | −1.62150 | −0.0988645 | −0.0494322 | − | 0.998777i | \(-0.515741\pi\) | ||||
−0.0494322 | + | 0.998777i | \(0.515741\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −5.67196 | −0.344547 | −0.172274 | − | 0.985049i | \(-0.555111\pi\) | ||||
−0.172274 | + | 0.985049i | \(0.555111\pi\) | |||||||
\(272\) | −0.228237 | − | 0.0199681i | −0.0138389 | − | 0.00121075i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −2.88911 | − | 0.509428i | −0.174538 | − | 0.0307757i | ||||
\(275\) | 25.5403 | + | 3.28579i | 1.54014 | + | 0.198141i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 2.32366 | + | 1.62704i | 0.139615 | + | 0.0977595i | 0.641297 | − | 0.767292i | \(-0.278396\pi\) |
−0.501682 | + | 0.865052i | \(0.667285\pi\) | |||||||
\(278\) | 0.994121 | + | 0.266374i | 0.0596234 | + | 0.0159761i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −1.54017 | + | 0.0358806i | −0.0920426 | + | 0.00214428i | ||||
\(281\) | −3.09754 | + | 8.51042i | −0.184784 | + | 0.507689i | −0.997149 | − | 0.0754602i | \(-0.975957\pi\) |
0.812365 | + | 0.583149i | \(0.198180\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −1.24677 | − | 14.2507i | −0.0741130 | − | 0.847116i | −0.938723 | − | 0.344672i | \(-0.887990\pi\) |
0.864610 | − | 0.502443i | \(-0.167566\pi\) | |||||||
\(284\) | 0.324624 | + | 0.272392i | 0.0192629 | + | 0.0161635i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 24.7966 | + | 9.02521i | 1.46625 | + | 0.533672i | ||||
\(287\) | 5.66186 | − | 1.51709i | 0.334209 | − | 0.0895510i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −14.6770 | + | 8.47375i | −0.863351 | + | 0.498456i | ||||
\(290\) | −0.735895 | + | 11.4873i | −0.0432132 | + | 0.674558i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −2.40676 | + | 5.16131i | −0.140845 | + | 0.302043i | ||||
\(293\) | −11.0424 | − | 15.7702i | −0.645104 | − | 0.921305i | 0.354803 | − | 0.934941i | \(-0.384548\pi\) |
−0.999907 | + | 0.0136366i | \(0.995659\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −2.01473 | + | 5.96410i | −0.117302 | + | 0.347243i | ||||
\(296\) | − | 8.18803i | − | 0.475919i | ||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −5.10512 | − | 5.10512i | −0.295732 | − | 0.295732i | ||||
\(299\) | −33.8359 | + | 28.3917i | −1.95678 | + | 1.64194i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.0525308 | − | 0.297917i | 0.00302782 | − | 0.0171716i | ||||
\(302\) | 11.2248 | + | 5.23423i | 0.645917 | + | 0.301196i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −7.06785 | + | 1.24625i | −0.405369 | + | 0.0714775i | ||||
\(305\) | −1.32676 | − | 0.725341i | −0.0759701 | − | 0.0415329i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 3.85267 | + | 14.3784i | 0.219883 | + | 0.820616i | 0.984390 | + | 0.176000i | \(0.0563160\pi\) |
−0.764507 | + | 0.644616i | \(0.777017\pi\) | |||||||
\(308\) | −3.21586 | + | 1.49958i | −0.183241 | + | 0.0854465i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 1.60885 | + | 2.18741i | 0.0913763 | + | 0.124237i | ||||
\(311\) | 19.2921 | − | 22.9914i | 1.09395 | − | 1.30372i | 0.144608 | − | 0.989489i | \(-0.453808\pi\) |
0.949345 | − | 0.314234i | \(-0.101748\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −4.80579 | − | 10.3061i | −0.271639 | − | 0.582533i | 0.722410 | − | 0.691465i | \(-0.243035\pi\) |
−0.994049 | + | 0.108933i | \(0.965257\pi\) | |||||||
\(314\) | −3.95354 | + | 6.84773i | −0.223111 | + | 0.386440i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 2.53749 | + | 4.39507i | 0.142745 | + | 0.247242i | ||||
\(317\) | 17.9510 | − | 25.6367i | 1.00823 | − | 1.43990i | 0.113370 | − | 0.993553i | \(-0.463835\pi\) |
0.894859 | − | 0.446348i | \(-0.147276\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 9.06767 | + | 24.9132i | 0.507692 | + | 1.39487i | ||||
\(320\) | 2.08283 | − | 0.813511i | 0.116434 | − | 0.0454766i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0.517650 | − | 5.91676i | 0.0288475 | − | 0.329728i | ||||
\(323\) | 1.16269 | − | 1.16269i | 0.0646936 | − | 0.0646936i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 24.4100 | − | 7.77573i | 1.35402 | − | 0.431320i | ||||
\(326\) | −11.3428 | − | 13.5178i | −0.628220 | − | 0.748683i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −6.96914 | + | 4.87984i | −0.384806 | + | 0.269444i | ||||
\(329\) | 2.30212 | − | 0.837904i | 0.126920 | − | 0.0461951i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 1.57325 | + | 8.92236i | 0.0864738 | + | 0.490417i | 0.997029 | + | 0.0770294i | \(0.0245435\pi\) |
−0.910555 | + | 0.413388i | \(0.864345\pi\) | |||||||
\(332\) | −1.79912 | + | 6.71440i | −0.0987394 | + | 0.368501i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 2.97602 | + | 1.71821i | 0.162841 | + | 0.0940161i | ||||
\(335\) | 11.8843 | − | 17.8431i | 0.649309 | − | 0.974871i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 0.305409 | − | 0.0267198i | 0.0166367 | − | 0.00145552i | −0.0788344 | − | 0.996888i | \(-0.525120\pi\) |
0.0954711 | + | 0.995432i | \(0.469564\pi\) | |||||||
\(338\) | 13.2020 | − | 1.15503i | 0.718094 | − | 0.0628251i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.283991 | + | 0.426384i | −0.0154016 | + | 0.0231239i | ||||
\(341\) | 5.41619 | + | 3.12704i | 0.293303 | + | 0.169339i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 2.41182 | − | 9.00102i | 0.130226 | − | 0.486010i | ||||
\(344\) | 0.0762453 | + | 0.432409i | 0.00411087 | + | 0.0233139i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 13.9651 | − | 5.08287i | 0.750767 | − | 0.273257i | ||||
\(347\) | −0.0616536 | + | 0.0431703i | −0.00330974 | + | 0.00231750i | −0.575230 | − | 0.817992i | \(-0.695088\pi\) |
0.571920 | + | 0.820309i | \(0.306199\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −2.42419 | − | 2.88904i | −0.129764 | − | 0.154647i | 0.697250 | − | 0.716828i | \(-0.254407\pi\) |
−0.827014 | + | 0.562181i | \(0.809962\pi\) | |||||||
\(350\) | −1.58163 | + | 3.06030i | −0.0845417 | + | 0.163580i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 3.64172 | − | 3.64172i | 0.194104 | − | 0.194104i | ||||
\(353\) | −1.39040 | + | 15.8923i | −0.0740035 | + | 0.845864i | 0.864958 | + | 0.501844i | \(0.167345\pi\) |
−0.938962 | + | 0.344021i | \(0.888211\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0.882635 | − | 0.344738i | 0.0468454 | − | 0.0182968i | ||||
\(356\) | −0.0704474 | − | 0.193553i | −0.00373370 | − | 0.0102583i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −1.85313 | + | 2.64654i | −0.0979408 | + | 0.139874i | ||||
\(359\) | 13.3476 | + | 23.1187i | 0.704458 | + | 1.22016i | 0.966887 | + | 0.255205i | \(0.0821431\pi\) |
−0.262429 | + | 0.964951i | \(0.584524\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 16.2538 | − | 28.1524i | 0.855463 | − | 1.48171i | ||||
\(362\) | 7.25691 | + | 15.5625i | 0.381415 | + | 0.817947i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −2.26910 | + | 2.70420i | −0.118933 | + | 0.141739i | ||||
\(365\) | 7.54496 | + | 10.2582i | 0.394921 | + | 0.536941i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −28.7115 | + | 13.3884i | −1.49873 | + | 0.698869i | −0.987066 | − | 0.160317i | \(-0.948748\pi\) |
−0.511664 | + | 0.859186i | \(0.670971\pi\) | |||||||
\(368\) | 2.23119 | + | 8.32690i | 0.116309 | + | 0.434070i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −16.0650 | − | 8.78272i | −0.835177 | − | 0.456592i | ||||
\(371\) | −7.74642 | + | 1.36590i | −0.402174 | + | 0.0709141i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 30.8236 | + | 14.3733i | 1.59598 | + | 0.744220i | 0.998343 | − | 0.0575432i | \(-0.0183267\pi\) |
0.597642 | + | 0.801763i | \(0.296104\pi\) | |||||||
\(374\) | −0.204896 | + | 1.16202i | −0.0105949 | + | 0.0600867i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −2.72393 | + | 2.28565i | −0.140476 | + | 0.117873i | ||||
\(377\) | 18.6506 | + | 18.6506i | 0.960554 | + | 0.960554i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 25.5086i | − | 1.31029i | −0.755503 | − | 0.655145i | \(-0.772607\pi\) | ||
0.755503 | − | 0.655145i | \(-0.227393\pi\) | |||||||
\(380\) | −5.13603 | + | 15.2039i | −0.263473 | + | 0.779945i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 10.0468 | + | 14.3483i | 0.514037 | + | 0.734121i | ||||
\(383\) | 1.95650 | − | 4.19573i | 0.0999725 | − | 0.214392i | −0.849960 | − | 0.526848i | \(-0.823374\pi\) |
0.949932 | + | 0.312456i | \(0.101152\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.507241 | + | 7.91803i | −0.0258514 | + | 0.403540i | ||||
\(386\) | 5.16771 | − | 2.98358i | 0.263030 | − | 0.151860i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 13.0647 | − | 3.50069i | 0.663262 | − | 0.177720i | ||||
\(389\) | 26.6358 | + | 9.69465i | 1.35049 | + | 0.491538i | 0.913101 | − | 0.407734i | \(-0.133681\pi\) |
0.437389 | + | 0.899272i | \(0.355903\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −1.51299 | − | 1.26955i | −0.0765150 | − | 0.0642037i | ||||
\(392\) | 0.568719 | + | 6.50049i | 0.0287247 | + | 0.328324i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −2.85793 | + | 7.85210i | −0.143980 | + | 0.395583i | ||||
\(395\) | 11.3449 | − | 0.264298i | 0.570826 | − | 0.0132983i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −3.47803 | − | 0.931934i | −0.174557 | − | 0.0467725i | 0.170482 | − | 0.985361i | \(-0.445468\pi\) |
−0.345039 | + | 0.938588i | \(0.612134\pi\) | |||||||
\(398\) | −11.0161 | − | 7.71358i | −0.552189 | − | 0.386647i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0.637997 | − | 4.95913i | 0.0318998 | − | 0.247956i | ||||
\(401\) | −1.73265 | − | 0.305513i | −0.0865245 | − | 0.0152566i | 0.130218 | − | 0.991485i | \(-0.458432\pi\) |
−0.216743 | + | 0.976229i | \(0.569543\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 6.19828 | + | 0.542279i | 0.308758 | + | 0.0270128i | ||||
\(404\) | 7.90409 | 0.393243 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −3.54669 | −0.176019 | ||||||||
\(407\) | −42.0092 | − | 3.67533i | −2.08232 | − | 0.182179i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 6.33540 | + | 1.11710i | 0.313266 | + | 0.0552372i | 0.328071 | − | 0.944653i | \(-0.393602\pi\) |
−0.0148050 | + | 0.999890i | \(0.504713\pi\) | |||||||
\(410\) | 2.09898 | + | 18.9078i | 0.103661 | + | 0.933788i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0.181481 | + | 0.127074i | 0.00894091 | + | 0.00626049i | ||||
\(413\) | −1.87357 | − | 0.502021i | −0.0921922 | − | 0.0247028i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 11.2439 | + | 10.7319i | 0.551942 | + | 0.526810i | ||||
\(416\) | 1.75241 | − | 4.81471i | 0.0859191 | − | 0.236061i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 3.22146 | + | 36.8215i | 0.157567 | + | 1.80100i | ||||
\(419\) | −16.4788 | − | 13.8273i | −0.805041 | − | 0.675510i | 0.144377 | − | 0.989523i | \(-0.453882\pi\) |
−0.949419 | + | 0.314013i | \(0.898327\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 30.3048 | + | 11.0300i | 1.47696 | + | 0.537571i | 0.949982 | − | 0.312305i | \(-0.101101\pi\) |
0.526982 | + | 0.849876i | \(0.323323\pi\) | |||||||
\(422\) | −3.70891 | + | 0.993799i | −0.180547 | + | 0.0483774i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 9.88734 | − | 5.70846i | 0.480172 | − | 0.277227i | ||||
\(425\) | 0.531950 | + | 1.01454i | 0.0258034 | + | 0.0492126i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.196898 | − | 0.422249i | 0.00952856 | − | 0.0204341i | ||||
\(428\) | −5.54517 | − | 7.91932i | −0.268036 | − | 0.382795i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0.930172 | + | 0.314221i | 0.0448569 | + | 0.0151531i | ||||
\(431\) | − | 18.6983i | − | 0.900664i | −0.892861 | − | 0.450332i | \(-0.851306\pi\) | ||
0.892861 | − | 0.450332i | \(-0.148694\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −0.223161 | − | 0.223161i | −0.0107244 | − | 0.0107244i | 0.701724 | − | 0.712449i | \(-0.252414\pi\) |
−0.712449 | + | 0.701724i | \(0.752414\pi\) | |||||||
\(434\) | −0.640909 | + | 0.537787i | −0.0307646 | + | 0.0258146i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −0.277911 | + | 1.57611i | −0.0133095 | + | 0.0754821i | ||||
\(437\) | −56.0726 | − | 26.1471i | −2.68232 | − | 1.25079i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −38.6067 | + | 6.80740i | −1.84260 | + | 0.324900i | −0.982648 | − | 0.185480i | \(-0.940616\pi\) |
−0.859949 | + | 0.510380i | \(0.829505\pi\) | |||||||
\(440\) | −3.23886 | − | 11.0513i | −0.154406 | − | 0.526849i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0.303824 | + | 1.13389i | 0.0144515 | + | 0.0539336i | ||||
\(443\) | 2.98350 | − | 1.39123i | 0.141750 | − | 0.0660993i | −0.350449 | − | 0.936582i | \(-0.613971\pi\) |
0.492199 | + | 0.870483i | \(0.336193\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −0.455315 | − | 0.0693920i | −0.0215840 | − | 0.00328950i | ||||
\(446\) | −7.10657 | + | 8.46928i | −0.336506 | + | 0.401032i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0.291171 | + | 0.624419i | 0.0137566 | + | 0.0295010i | ||||
\(449\) | −8.26235 | + | 14.3108i | −0.389924 | + | 0.675369i | −0.992439 | − | 0.122739i | \(-0.960832\pi\) |
0.602515 | + | 0.798108i | \(0.294166\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 21.9081 | + | 37.9460i | 1.03161 | + | 1.78681i | ||||
\(452\) | 2.52426 | − | 3.60502i | 0.118731 | − | 0.169566i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −7.41307 | − | 20.3672i | −0.347913 | − | 0.955882i | ||||
\(455\) | 2.87176 | + | 7.35259i | 0.134630 | + | 0.344695i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 2.45349 | − | 28.0435i | 0.114769 | − | 1.31182i | −0.692406 | − | 0.721508i | \(-0.743449\pi\) |
0.807175 | − | 0.590312i | \(-0.200995\pi\) | |||||||
\(458\) | −10.5773 | + | 10.5773i | −0.494244 | + | 0.494244i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 18.7307 | + | 4.55408i | 0.873321 | + | 0.212335i | ||||
\(461\) | 1.24335 | + | 1.48177i | 0.0579086 | + | 0.0690128i | 0.794221 | − | 0.607629i | \(-0.207879\pi\) |
−0.736313 | + | 0.676642i | \(0.763435\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 3.25355 | − | 2.27816i | 0.151205 | − | 0.105875i | −0.495526 | − | 0.868593i | \(-0.665025\pi\) |
0.646731 | + | 0.762718i | \(0.276136\pi\) | |||||||
\(464\) | 4.83736 | − | 1.76066i | 0.224569 | − | 0.0817364i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 4.09258 | + | 23.2102i | 0.189585 | + | 1.07519i | ||||
\(467\) | −6.84432 | + | 25.5434i | −0.316718 | + | 1.18201i | 0.605662 | + | 0.795722i | \(0.292908\pi\) |
−0.922380 | + | 0.386284i | \(0.873758\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 5.72060 | + | 3.30279i | 0.264153 | + | 0.152509i | ||||
\(470\) | 1.56269 | + | 7.79602i | 0.0720814 | + | 0.359603i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 2.80459 | − | 0.245370i | 0.129092 | − | 0.0112941i | ||||
\(473\) | 2.25273 | − | 0.197088i | 0.103580 | − | 0.00906211i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 24.3211 | + | 26.3851i | 1.11593 | + | 1.21063i | ||||
\(476\) | −0.136701 | − | 0.0789246i | −0.00626570 | − | 0.00361750i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 2.94985 | − | 11.0090i | 0.134923 | − | 0.503539i | ||||
\(479\) | 2.29891 | + | 13.0378i | 0.105040 | + | 0.595711i | 0.991204 | + | 0.132340i | \(0.0422491\pi\) |
−0.886164 | + | 0.463371i | \(0.846640\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −39.4230 | + | 14.3488i | −1.79753 | + | 0.654249i | ||||
\(482\) | 17.9104 | − | 12.5410i | 0.815797 | − | 0.571227i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −9.97875 | − | 11.8922i | −0.453580 | − | 0.540555i | ||||
\(485\) | 7.14526 | − | 29.3880i | 0.324449 | − | 1.33444i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −9.21014 | + | 9.21014i | −0.417351 | + | 0.417351i | −0.884290 | − | 0.466938i | \(-0.845357\pi\) |
0.466938 | + | 0.884290i | \(0.345357\pi\) | |||||||
\(488\) | −0.0589371 | + | 0.673654i | −0.00266796 | + | 0.0304949i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 13.3640 | + | 5.85679i | 0.603725 | + | 0.264583i | ||||
\(491\) | 9.62552 | + | 26.4459i | 0.434394 | + | 1.19349i | 0.943089 | + | 0.332540i | \(0.107906\pi\) |
−0.508695 | + | 0.860947i | \(0.669872\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −0.676481 | + | 0.966115i | −0.0304672 | + | 0.0435116i | ||||
\(494\) | 18.3861 | + | 31.8457i | 0.827231 | + | 1.43281i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0.607172 | − | 1.05165i | 0.0272628 | − | 0.0472206i | ||||
\(497\) | 0.123389 | + | 0.264608i | 0.00553474 | + | 0.0118693i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 18.9190 | − | 22.5467i | 0.846929 | − | 1.00933i | −0.152849 | − | 0.988250i | \(-0.548845\pi\) |
0.999778 | − | 0.0210808i | \(-0.00671072\pi\) | |||||||
\(500\) | −9.04550 | − | 6.57106i | −0.404527 | − | 0.293867i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −17.3649 | + | 8.09740i | −0.775035 | + | 0.361405i | ||||
\(503\) | 3.45662 | + | 12.9003i | 0.154123 | + | 0.575195i | 0.999179 | + | 0.0405171i | \(0.0129005\pi\) |
−0.845056 | + | 0.534678i | \(0.820433\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 8.47816 | − | 15.5079i | 0.377273 | − | 0.690091i | ||||
\(506\) | 43.7232 | − | 7.70958i | 1.94373 | − | 0.342733i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 5.71660 | + | 2.66570i | 0.253633 | + | 0.118271i | ||||
\(509\) | 5.74935 | − | 32.6062i | 0.254835 | − | 1.44524i | −0.541660 | − | 0.840598i | \(-0.682204\pi\) |
0.796495 | − | 0.604645i | \(-0.206685\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −3.00565 | + | 2.52204i | −0.132962 | + | 0.111569i | ||||
\(512\) | −0.707107 | − | 0.707107i | −0.0312500 | − | 0.0312500i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | − | 1.13059i | − | 0.0498682i | ||||||
\(515\) | 0.443982 | − | 0.219763i | 0.0195642 | − | 0.00968390i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 10.5040 | + | 15.0012i | 0.461965 | + | 0.659754i | ||||
\(518\) | 2.38412 | − | 5.11276i | 0.104752 | − | 0.224642i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −7.56681 | − | 8.60265i | −0.331826 | − | 0.377251i | ||||
\(521\) | −14.1900 | + | 8.19259i | −0.621675 | + | 0.358924i | −0.777521 | − | 0.628857i | \(-0.783523\pi\) |
0.155846 | + | 0.987781i | \(0.450190\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −23.4942 | + | 6.29526i | −1.02733 | + | 0.275273i | −0.732854 | − | 0.680386i | \(-0.761812\pi\) |
−0.294477 | + | 0.955658i | \(0.595146\pi\) | |||||||
\(524\) | −10.1301 | − | 3.68706i | −0.442536 | − | 0.161070i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −19.3942 | − | 16.2737i | −0.845629 | − | 0.709567i | ||||
\(527\) | 0.0242482 | + | 0.277158i | 0.00105627 | + | 0.0120732i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −17.5509 | + | 48.2207i | −0.763083 | + | 2.09655i | ||||
\(530\) | −0.594577 | − | 25.5221i | −0.0258268 | − | 1.10861i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −4.77617 | − | 1.27977i | −0.207073 | − | 0.0554851i | ||||
\(533\) | 35.7079 | + | 25.0029i | 1.54668 | + | 1.08300i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −21.4857 | + | 2.38516i | −0.928907 | + | 0.103119i | ||||
\(536\) | −9.44196 | − | 1.66487i | −0.407830 | − | 0.0719115i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 1.61533 | + | 0.141323i | 0.0696417 | + | 0.00609286i | ||||
\(539\) | 33.6065 | 1.44753 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −28.4120 | −1.22153 | −0.610763 | − | 0.791814i | \(-0.709137\pi\) | ||||
−0.610763 | + | 0.791814i | \(0.709137\pi\) | |||||||
\(542\) | 5.65038 | + | 0.494344i | 0.242705 | + | 0.0212339i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0.225628 | + | 0.0397843i | 0.00967373 | + | 0.00170574i | ||||
\(545\) | 2.79425 | + | 2.23585i | 0.119692 | + | 0.0957732i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −17.1447 | − | 12.0048i | −0.733055 | − | 0.513290i | 0.146428 | − | 0.989221i | \(-0.453222\pi\) |
−0.879483 | + | 0.475931i | \(0.842111\pi\) | |||||||
\(548\) | 2.83372 | + | 0.759292i | 0.121050 | + | 0.0324354i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −25.1568 | − | 5.49927i | −1.07269 | − | 0.234490i | ||||
\(551\) | −12.6360 | + | 34.7172i | −0.538312 | + | 1.47900i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.304741 | + | 3.48321i | 0.0129589 | + | 0.148121i | ||||
\(554\) | −2.17301 | − | 1.82337i | −0.0923223 | − | 0.0774676i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −0.967123 | − | 0.352004i | −0.0410151 | − | 0.0149283i | ||||
\(557\) | −8.75390 | + | 2.34560i | −0.370915 | + | 0.0993863i | −0.439461 | − | 0.898262i | \(-0.644831\pi\) |
0.0685465 | + | 0.997648i | \(0.478164\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 1.94831 | − | 1.12486i | 0.0824048 | − | 0.0475764i | ||||
\(560\) | 1.53743 | + | 0.0984903i | 0.0649684 | + | 0.00416198i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 3.82748 | − | 8.20806i | 0.161453 | − | 0.346236i | ||||
\(563\) | −14.6995 | − | 20.9930i | −0.619510 | − | 0.884751i | 0.379675 | − | 0.925120i | \(-0.376036\pi\) |
−0.999185 | + | 0.0403685i | \(0.987147\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −4.36547 | − | 8.81947i | −0.183657 | − | 0.371038i | ||||
\(566\) | 14.3051i | 0.601289i | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −0.299648 | − | 0.299648i | −0.0125730 | − | 0.0125730i | ||||
\(569\) | 10.3461 | − | 8.68139i | 0.433730 | − | 0.363943i | −0.399627 | − | 0.916678i | \(-0.630860\pi\) |
0.833357 | + | 0.552735i | \(0.186416\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −2.92996 | + | 16.6166i | −0.122615 | + | 0.695385i | 0.860081 | + | 0.510158i | \(0.170413\pi\) |
−0.982696 | + | 0.185227i | \(0.940698\pi\) | |||||||
\(572\) | −23.9156 | − | 11.1520i | −0.999962 | − | 0.466290i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −5.77254 | + | 1.01785i | −0.240941 | + | 0.0424844i | ||||
\(575\) | 29.0262 | − | 31.8648i | 1.21048 | − | 1.32885i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −8.48749 | − | 31.6757i | −0.353339 | − | 1.31868i | −0.882562 | − | 0.470196i | \(-0.844183\pi\) |
0.529223 | − | 0.848483i | \(-0.322483\pi\) | |||||||
\(578\) | 15.3597 | − | 7.16233i | 0.638878 | − | 0.297914i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 1.73428 | − | 11.3795i | 0.0720120 | − | 0.472506i | ||||
\(581\) | −3.07845 | + | 3.66875i | −0.127715 | + | 0.152205i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −24.8495 | − | 53.2900i | −1.02916 | − | 2.20705i | ||||
\(584\) | 2.84744 | − | 4.93191i | 0.117828 | − | 0.204084i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 9.62593 | + | 16.6726i | 0.397643 | + | 0.688739i | ||||
\(587\) | 7.86411 | − | 11.2311i | 0.324587 | − | 0.463558i | −0.623384 | − | 0.781916i | \(-0.714243\pi\) |
0.947970 | + | 0.318358i | \(0.103131\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 2.98078 | + | 8.18961i | 0.122821 | + | 0.337447i | ||||
\(590\) | 2.52687 | − | 5.76581i | 0.104030 | − | 0.237375i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −0.713634 | + | 8.15687i | −0.0293302 | + | 0.335245i | ||||
\(593\) | 3.68940 | − | 3.68940i | 0.151506 | − | 0.151506i | −0.627285 | − | 0.778790i | \(-0.715834\pi\) |
0.778790 | + | 0.627285i | \(0.215834\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.301480 | + | 0.183552i | −0.0123595 | + | 0.00752490i | ||||
\(596\) | 4.64076 | + | 5.53064i | 0.190093 | + | 0.226544i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 36.1817 | − | 25.3347i | 1.47958 | − | 1.03601i | ||||
\(599\) | 12.8843 | − | 4.68951i | 0.526439 | − | 0.191608i | −0.0651086 | − | 0.997878i | \(-0.520739\pi\) |
0.591548 | + | 0.806270i | \(0.298517\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −7.38092 | − | 41.8593i | −0.301074 | − | 1.70748i | −0.641432 | − | 0.767180i | \(-0.721659\pi\) |
0.340357 | − | 0.940296i | \(-0.389452\pi\) | |||||||
\(602\) | −0.0782961 | + | 0.292205i | −0.00319111 | + | 0.0119094i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −10.7259 | − | 6.19262i | −0.436432 | − | 0.251974i | ||||
\(605\) | −34.0361 | + | 6.82243i | −1.38376 | + | 0.277371i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 24.6112 | − | 2.15320i | 0.998939 | − | 0.0873958i | 0.424060 | − | 0.905634i | \(-0.360605\pi\) |
0.574879 | + | 0.818238i | \(0.305049\pi\) | |||||||
\(608\) | 7.14957 | − | 0.625506i | 0.289953 | − | 0.0253676i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 1.25849 | + | 0.838216i | 0.0509550 | + | 0.0339384i | ||||
\(611\) | 15.7782 | + | 9.10954i | 0.638317 | + | 0.368533i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −0.844110 | + | 3.15026i | −0.0340933 | + | 0.127238i | −0.980875 | − | 0.194638i | \(-0.937647\pi\) |
0.946782 | + | 0.321876i | \(0.104313\pi\) | |||||||
\(614\) | −2.58485 | − | 14.6594i | −0.104316 | − | 0.591606i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 3.33432 | − | 1.21359i | 0.134344 | − | 0.0488971i | ||||
\(617\) | 37.8538 | − | 26.5055i | 1.52394 | − | 1.06707i | 0.551424 | − | 0.834225i | \(-0.314085\pi\) |
0.972513 | − | 0.232847i | \(-0.0748042\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 7.87169 | + | 9.38112i | 0.316390 | + | 0.377059i | 0.900678 | − | 0.434488i | \(-0.143071\pi\) |
−0.584288 | + | 0.811547i | \(0.698626\pi\) | |||||||
\(620\) | −1.41208 | − | 2.31931i | −0.0567104 | − | 0.0931457i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −21.2225 | + | 21.2225i | −0.850945 | + | 0.850945i | ||||
\(623\) | 0.0123683 | − | 0.141370i | 0.000495525 | − | 0.00566388i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −22.5949 | + | 10.6990i | −0.903797 | + | 0.427961i | ||||
\(626\) | 3.88927 | + | 10.6857i | 0.155447 | + | 0.427086i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 4.53531 | − | 6.47710i | 0.180979 | − | 0.258464i | ||||
\(629\) | −0.937974 | − | 1.62462i | −0.0373995 | − | 0.0647778i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 15.4263 | − | 26.7191i | 0.614110 | − | 1.06367i | −0.376430 | − | 0.926445i | \(-0.622848\pi\) |
0.990540 | − | 0.137225i | \(-0.0438183\pi\) | |||||||
\(632\) | −2.14478 | − | 4.59950i | −0.0853148 | − | 0.182958i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −20.1171 | + | 23.9746i | −0.798952 | + | 0.952154i | ||||
\(635\) | 11.3619 | − | 8.35671i | 0.450884 | − | 0.331626i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 30.3014 | − | 14.1298i | 1.20058 | − | 0.559841i | ||||
\(638\) | −6.86183 | − | 25.6087i | −0.271662 | − | 1.01386i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −2.14581 | + | 0.628884i | −0.0848206 | + | 0.0248588i | ||||
\(641\) | −41.4855 | + | 7.31502i | −1.63858 | + | 0.288926i | −0.915644 | − | 0.401990i | \(-0.868319\pi\) |
−0.722936 | + | 0.690915i | \(0.757208\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 35.7659 | + | 16.6779i | 1.41047 | + | 0.657713i | 0.970678 | − | 0.240385i | \(-0.0772738\pi\) |
0.439794 | + | 0.898099i | \(0.355052\pi\) | |||||||
\(644\) | −1.03136 | + | 5.84913i | −0.0406413 | + | 0.230488i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −1.25960 | + | 1.05693i | −0.0495582 | + | 0.0415842i | ||||
\(647\) | −12.3552 | − | 12.3552i | −0.485732 | − | 0.485732i | 0.421224 | − | 0.906956i | \(-0.361601\pi\) |
−0.906956 | + | 0.421224i | \(0.861601\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | − | 14.4993i | − | 0.569146i | ||||||
\(650\) | −24.9948 | + | 5.61867i | −0.980378 | + | 0.220382i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 10.1215 | + | 14.4550i | 0.396388 | + | 0.566101i | ||||
\(653\) | −3.52950 | + | 7.56905i | −0.138120 | + | 0.296200i | −0.963185 | − | 0.268838i | \(-0.913360\pi\) |
0.825065 | + | 0.565037i | \(0.191138\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −18.0999 | + | 15.9205i | −0.707220 | + | 0.622064i | ||||
\(656\) | 7.36793 | − | 4.25387i | 0.287669 | − | 0.166086i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −2.36639 | + | 0.634072i | −0.0922514 | + | 0.0247187i | ||||
\(659\) | −19.9965 | − | 7.27814i | −0.778954 | − | 0.283516i | −0.0782177 | − | 0.996936i | \(-0.524923\pi\) |
−0.700737 | + | 0.713420i | \(0.747145\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 14.8137 | + | 12.4302i | 0.576186 | + | 0.483477i | 0.883692 | − | 0.468069i | \(-0.155050\pi\) |
−0.307506 | + | 0.951546i | \(0.599494\pi\) | |||||||
\(662\) | −0.789631 | − | 9.02553i | −0.0306899 | − | 0.350787i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 2.37747 | − | 6.53205i | 0.0922637 | − | 0.253493i | ||||
\(665\) | −7.63398 | + | 7.99816i | −0.296033 | + | 0.310155i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 42.8653 | + | 11.4857i | 1.65975 | + | 0.444729i | ||||
\(668\) | −2.81495 | − | 1.97105i | −0.108914 | − | 0.0762621i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −13.3942 | + | 16.7394i | −0.517463 | + | 0.646699i | ||||
\(671\) | 3.42977 | + | 0.604761i | 0.132405 | + | 0.0233465i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −1.05962 | − | 0.0927051i | −0.0408455 | − | 0.00357352i | 0.0667147 | − | 0.997772i | \(-0.478748\pi\) |
−0.107560 | + | 0.994199i | \(0.534304\pi\) | |||||||
\(674\) | −0.306576 | −0.0118089 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −13.2524 | −0.509709 | ||||||||
\(677\) | 23.1826 | + | 2.02822i | 0.890980 | + | 0.0779507i | 0.523446 | − | 0.852059i | \(-0.324646\pi\) |
0.367535 | + | 0.930010i | \(0.380202\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 9.17718 | + | 1.61818i | 0.352188 | + | 0.0621002i | ||||
\(680\) | 0.320072 | − | 0.400010i | 0.0122742 | − | 0.0153397i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −5.12304 | − | 3.58719i | −0.196171 | − | 0.137361i | ||||
\(683\) | −34.5505 | − | 9.25778i | −1.32204 | − | 0.354239i | −0.472297 | − | 0.881439i | \(-0.656575\pi\) |
−0.849741 | + | 0.527200i | \(0.823242\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 4.52926 | − | 4.74533i | 0.173054 | − | 0.181310i | ||||
\(686\) | −3.18713 | + | 8.75657i | −0.121685 | + | 0.334327i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −0.0382683 | − | 0.437409i | −0.00145896 | − | 0.0166760i | ||||
\(689\) | −44.8113 | − | 37.6012i | −1.70718 | − | 1.43249i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −23.6754 | − | 8.61714i | −0.900655 | − | 0.327812i | −0.150140 | − | 0.988665i | \(-0.547972\pi\) |
−0.750515 | + | 0.660853i | \(0.770195\pi\) | |||||||
\(692\) | −14.3549 | + | 3.84639i | −0.545692 | + | 0.146218i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0.0651815 | − | 0.0376325i | 0.00247426 | − | 0.00142851i | ||||
\(695\) | −1.72800 | + | 1.51993i | −0.0655467 | + | 0.0576542i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −0.823767 | + | 1.76658i | −0.0312024 | + | 0.0669138i | ||||
\(698\) | 2.16317 | + | 3.08933i | 0.0818773 | + | 0.116933i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 1.84233 | − | 2.91081i | 0.0696337 | − | 0.110018i | ||||
\(701\) | 16.3602i | 0.617918i | 0.951075 | + | 0.308959i | \(0.0999806\pi\) | ||||
−0.951075 | + | 0.308959i | \(0.900019\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −41.5528 | − | 41.5528i | −1.56719 | − | 1.56719i | ||||
\(704\) | −3.94525 | + | 3.31046i | −0.148692 | + | 0.124768i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 2.77022 | − | 15.7107i | 0.104259 | − | 0.591280i | ||||
\(707\) | 4.93547 | + | 2.30145i | 0.185617 | + | 0.0865548i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 25.5907 | − | 4.51233i | 0.961078 | − | 0.169464i | 0.328967 | − | 0.944341i | \(-0.393300\pi\) |
0.632112 | + | 0.774877i | \(0.282188\pi\) | |||||||
\(710\) | −0.909322 | + | 0.266500i | −0.0341263 | + | 0.0100016i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0.0533101 | + | 0.198956i | 0.00199788 | + | 0.00745619i | ||||
\(713\) | 9.48762 | − | 4.42415i | 0.355314 | − | 0.165686i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −47.5329 | + | 34.9606i | −1.77763 | + | 1.30745i | ||||
\(716\) | 2.07674 | − | 2.47496i | 0.0776113 | − | 0.0924936i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −11.2819 | − | 24.1940i | −0.421035 | − | 0.902913i | ||||
\(719\) | 4.17596 | − | 7.23298i | 0.155737 | − | 0.269745i | −0.777590 | − | 0.628772i | \(-0.783558\pi\) |
0.933327 | + | 0.359027i | \(0.116891\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0.0763196 | + | 0.132189i | 0.00284229 | + | 0.00492299i | ||||
\(722\) | −18.6456 | + | 26.6287i | −0.693917 | + | 0.991017i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −5.87294 | − | 16.1358i | −0.218266 | − | 0.599681i | ||||
\(725\) | −20.4663 | − | 15.6086i | −0.760100 | − | 0.579689i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 1.90761 | − | 21.8041i | 0.0707494 | − | 0.808670i | −0.875074 | − | 0.483989i | \(-0.839188\pi\) |
0.945824 | − | 0.324681i | \(-0.105257\pi\) | |||||||
\(728\) | 2.49615 | − | 2.49615i | 0.0925134 | − | 0.0925134i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −6.62218 | − | 10.8768i | −0.245098 | − | 0.402568i | ||||
\(731\) | 0.0646625 | + | 0.0770617i | 0.00239163 | + | 0.00285023i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 14.6982 | − | 10.2918i | 0.542889 | − | 0.380135i | −0.269725 | − | 0.962937i | \(-0.586933\pi\) |
0.812614 | + | 0.582802i | \(0.198044\pi\) | |||||||
\(734\) | 29.7691 | − | 10.8351i | 1.09880 | − | 0.399930i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −1.49696 | − | 8.48967i | −0.0551786 | − | 0.312934i | ||||
\(737\) | −12.7799 | + | 47.6953i | −0.470754 | + | 1.75688i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 27.1154 | + | 15.6551i | 0.997457 | + | 0.575882i | 0.907495 | − | 0.420063i | \(-0.137992\pi\) |
0.0899618 | + | 0.995945i | \(0.471325\pi\) | |||||||
\(740\) | 15.2384 | + | 10.1495i | 0.560173 | + | 0.373101i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 7.83599 | − | 0.685560i | 0.287668 | − | 0.0251677i | ||||
\(743\) | −0.503855 | + | 0.0440816i | −0.0184847 | + | 0.00161720i | −0.0963943 | − | 0.995343i | \(-0.530731\pi\) |
0.0779097 | + | 0.996960i | \(0.475175\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 15.8290 | − | 3.17287i | 0.579928 | − | 0.116245i | ||||
\(746\) | −29.4536 | − | 17.0050i | −1.07837 | − | 0.622599i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0.305393 | − | 1.13974i | 0.0111663 | − | 0.0416731i | ||||
\(749\) | −1.15663 | − | 6.55957i | −0.0422623 | − | 0.239682i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 35.9421 | − | 13.0819i | 1.31155 | − | 0.477364i | 0.410807 | − | 0.911722i | \(-0.365247\pi\) |
0.900740 | + | 0.434358i | \(0.143025\pi\) | |||||||
\(752\) | 2.91277 | − | 2.03954i | 0.106218 | − | 0.0743745i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −16.9541 | − | 20.2051i | −0.617432 | − | 0.735827i | ||||
\(755\) | −23.6549 | + | 14.4020i | −0.860890 | + | 0.524141i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −19.5892 | + | 19.5892i | −0.711983 | + | 0.711983i | −0.966950 | − | 0.254967i | \(-0.917935\pi\) |
0.254967 | + | 0.966950i | \(0.417935\pi\) | |||||||
\(758\) | −2.22322 | + | 25.4116i | −0.0807511 | + | 0.922990i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 6.44159 | − | 14.6984i | 0.233661 | − | 0.533168i | ||||
\(761\) | 0.568233 | + | 1.56121i | 0.0205984 | + | 0.0565937i | 0.949566 | − | 0.313568i | \(-0.101524\pi\) |
−0.928967 | + | 0.370162i | \(0.879302\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −0.632452 | + | 0.903235i | −0.0228963 | + | 0.0326993i | ||||
\(764\) | −8.75800 | − | 15.1693i | −0.316853 | − | 0.548806i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −2.31474 | + | 4.00924i | −0.0836348 | + | 0.144860i | ||||
\(767\) | −6.09618 | − | 13.0733i | −0.220120 | − | 0.472050i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 31.6759 | − | 37.7499i | 1.14226 | − | 1.36129i | 0.219644 | − | 0.975580i | \(-0.429511\pi\) |
0.922618 | − | 0.385715i | \(-0.126045\pi\) | |||||||
\(770\) | 1.19541 | − | 7.84369i | 0.0430797 | − | 0.282667i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −5.40808 | + | 2.52183i | −0.194641 | + | 0.0907627i | ||||
\(773\) | −5.87742 | − | 21.9348i | −0.211396 | − | 0.788941i | −0.987404 | − | 0.158218i | \(-0.949425\pi\) |
0.776008 | − | 0.630723i | \(-0.217241\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −6.06514 | + | 0.282747i | −0.217866 | + | 0.0101566i | ||||
\(776\) | −13.3201 | + | 2.34870i | −0.478165 | + | 0.0843134i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −25.6895 | − | 11.9792i | −0.921014 | − | 0.429476i | ||||
\(779\) | −10.6028 | + | 60.1315i | −0.379885 | + | 2.15443i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −1.67187 | + | 1.40286i | −0.0598241 | + | 0.0501984i | ||||
\(782\) | 1.39658 | + | 1.39658i | 0.0499416 | + | 0.0499416i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | − | 6.52532i | − | 0.233047i | ||||||
\(785\) | −7.84339 | − | 15.8458i | −0.279943 | − | 0.565562i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −2.61309 | − | 3.73187i | −0.0931464 | − | 0.133027i | 0.769874 | − | 0.638196i | \(-0.220319\pi\) |
−0.863020 | + | 0.505169i | \(0.831430\pi\) | |||||||
\(788\) | 3.53141 | − | 7.57313i | 0.125801 | − | 0.269782i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −11.3248 | − | 0.725484i | −0.402918 | − | 0.0258116i | ||||
\(791\) | 2.62588 | − | 1.51605i | 0.0933654 | − | 0.0539046i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 3.34673 | − | 0.896754i | 0.118846 | − | 0.0318447i | ||||
\(794\) | 3.38357 | + | 1.23152i | 0.120078 | + | 0.0437049i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 10.3019 | + | 8.64434i | 0.365142 | + | 0.306391i | ||||
\(797\) | −0.226051 | − | 2.58378i | −0.00800715 | − | 0.0915221i | 0.991140 | − | 0.132825i | \(-0.0424048\pi\) |
−0.999147 | + | 0.0413027i | \(0.986849\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −0.278635 | + | 0.765543i | −0.00985739 | + | 0.0270829i | ||||
\(800\) | −1.06779 | + | 4.88465i | −0.0377519 | + | 0.172699i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 1.69943 | + | 0.455361i | 0.0600090 | + | 0.0160794i | ||||
\(803\) | −24.0254 | − | 16.8227i | −0.847836 | − | 0.593661i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 10.3698 | + | 8.29749i | 0.365486 | + | 0.292448i | ||||
\(806\) | −6.12743 | − | 1.08043i | −0.215829 | − | 0.0380565i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −7.87401 | − | 0.688887i | −0.277007 | − | 0.0242350i | ||||
\(809\) | 41.9996 | 1.47663 | 0.738313 | − | 0.674458i | \(-0.235623\pi\) | ||||
0.738313 | + | 0.674458i | \(0.235623\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 14.1219 | 0.495888 | 0.247944 | − | 0.968774i | \(-0.420245\pi\) | ||||
0.247944 | + | 0.968774i | \(0.420245\pi\) | |||||||
\(812\) | 3.53319 | + | 0.309114i | 0.123991 | + | 0.0108478i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 41.5290 | + | 7.32269i | 1.45559 | + | 0.256660i | ||||
\(815\) | 39.2173 | − | 4.35358i | 1.37372 | − | 0.152499i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 2.58133 | + | 1.80747i | 0.0903093 | + | 0.0632352i | ||||
\(818\) | −6.21393 | − | 1.66502i | −0.217265 | − | 0.0582160i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −0.443071 | − | 19.0187i | −0.0154727 | − | 0.664163i | ||||
\(821\) | −0.466036 | + | 1.28042i | −0.0162648 | + | 0.0446871i | −0.947559 | − | 0.319580i | \(-0.896458\pi\) |
0.931295 | + | 0.364267i | \(0.118680\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −1.36351 | − | 15.5850i | −0.0475290 | − | 0.543258i | −0.982212 | − | 0.187776i | \(-0.939872\pi\) |
0.934683 | − | 0.355482i | \(-0.115683\pi\) | |||||||
\(824\) | −0.169715 | − | 0.142408i | −0.00591230 | − | 0.00496100i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 1.82268 | + | 0.663403i | 0.0634193 | + | 0.0230827i | ||||
\(827\) | −27.0219 | + | 7.24049i | −0.939643 | + | 0.251777i | −0.695962 | − | 0.718079i | \(-0.745022\pi\) |
−0.243681 | + | 0.969855i | \(0.578355\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −10.8695 | + | 6.27552i | −0.377514 | + | 0.217958i | −0.676736 | − | 0.736226i | \(-0.736606\pi\) |
0.299222 | + | 0.954183i | \(0.403273\pi\) | |||||||
\(830\) | −10.2658 | − | 11.6711i | −0.356330 | − | 0.405109i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −2.16537 | + | 4.64366i | −0.0750709 | + | 0.160990i | ||||
\(833\) | 0.857501 | + | 1.22464i | 0.0297107 | + | 0.0424312i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −6.88660 | + | 3.40874i | −0.238320 | + | 0.117964i | ||||
\(836\) | − | 36.9621i | − | 1.27836i | ||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 15.2109 | + | 15.2109i | 0.525453 | + | 0.525453i | ||||
\(839\) | 28.6334 | − | 24.0263i | 0.988536 | − | 0.829480i | 0.00318115 | − | 0.999995i | \(-0.498987\pi\) |
0.985355 | + | 0.170514i | \(0.0545430\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −0.434124 | + | 2.46204i | −0.0149698 | + | 0.0848980i | ||||
\(842\) | −29.2281 | − | 13.6293i | −1.00727 | − | 0.469697i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 3.78141 | − | 0.666764i | 0.130161 | − | 0.0229510i | ||||
\(845\) | −14.2149 | + | 26.0013i | −0.489009 | + | 0.894473i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −2.76825 | − | 10.3313i | −0.0951183 | − | 0.354986i | ||||
\(848\) | −10.3472 | + | 4.82500i | −0.355326 | + | 0.165691i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −0.441502 | − | 1.05705i | −0.0151434 | − | 0.0362564i | ||||
\(851\) | −45.3718 | + | 54.0720i | −1.55533 | + | 1.85357i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 12.9401 | + | 27.7501i | 0.443060 | + | 0.950144i | 0.993346 | + | 0.115168i | \(0.0367407\pi\) |
−0.550286 | + | 0.834976i | \(0.685481\pi\) | |||||||
\(854\) | −0.232950 | + | 0.403482i | −0.00797139 | + | 0.0138069i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 4.83385 | + | 8.37248i | 0.165218 | + | 0.286166i | ||||
\(857\) | 6.00801 | − | 8.58033i | 0.205230 | − | 0.293099i | −0.703321 | − | 0.710872i | \(-0.748301\pi\) |
0.908551 | + | 0.417773i | \(0.137189\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −15.7634 | − | 43.3095i | −0.537839 | − | 1.47770i | −0.849542 | − | 0.527521i | \(-0.823122\pi\) |
0.311703 | − | 0.950180i | \(-0.399101\pi\) | |||||||
\(860\) | −0.899246 | − | 0.394095i | −0.0306640 | − | 0.0134385i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −1.62966 | + | 18.6271i | −0.0555065 | + | 0.634442i | ||||
\(863\) | −1.44969 | + | 1.44969i | −0.0493480 | + | 0.0493480i | −0.731350 | − | 0.682002i | \(-0.761109\pi\) |
0.682002 | + | 0.731350i | \(0.261109\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −7.85087 | + | 32.2902i | −0.266938 | + | 1.09790i | ||||
\(866\) | 0.202862 | + | 0.241762i | 0.00689353 | + | 0.00821539i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0.685341 | − | 0.479881i | 0.0232620 | − | 0.0162882i | ||||
\(869\) | −24.5608 | + | 8.93938i | −0.833166 | + | 0.303248i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 8.53032 | + | 48.3779i | 0.289039 | + | 1.63922i | ||||
\(872\) | 0.414221 | − | 1.54589i | 0.0140273 | − | 0.0523506i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 53.5804 | + | 30.9347i | 1.81238 | + | 1.04638i | ||||
\(875\) | −3.73488 | − | 6.73689i | −0.126262 | − | 0.227748i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −16.5614 | + | 1.44894i | −0.559239 | + | 0.0489271i | −0.363272 | − | 0.931683i | \(-0.618340\pi\) |
−0.195968 | + | 0.980610i | \(0.562785\pi\) | |||||||
\(878\) | 39.0531 | − | 3.41670i | 1.31798 | − | 0.115308i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 2.26335 | + | 11.2915i | 0.0762975 | + | 0.380637i | ||||
\(881\) | 43.5164 | + | 25.1242i | 1.46610 | + | 0.846455i | 0.999282 | − | 0.0378966i | \(-0.0120657\pi\) |
0.466821 | + | 0.884352i | \(0.345399\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 3.51384 | − | 13.1138i | 0.118250 | − | 0.441316i | −0.881259 | − | 0.472633i | \(-0.843304\pi\) |
0.999509 | + | 0.0313172i | \(0.00997020\pi\) | |||||||
\(884\) | −0.203843 | − | 1.15605i | −0.00685600 | − | 0.0388823i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −3.09340 | + | 1.12591i | −0.103925 | + | 0.0378255i | ||||
\(887\) | −10.1382 | + | 7.09887i | −0.340409 | + | 0.238357i | −0.731263 | − | 0.682096i | \(-0.761069\pi\) |
0.390854 | + | 0.920453i | \(0.372180\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 2.79338 | + | 3.32902i | 0.0936871 | + | 0.111652i | ||||
\(890\) | 0.447535 | + | 0.108811i | 0.0150014 | + | 0.00364736i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 7.81768 | − | 7.81768i | 0.261755 | − | 0.261755i | ||||
\(893\) | −2.22420 | + | 25.4227i | −0.0744300 | + | 0.850738i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −2.62831 | − | 6.72928i | −0.0878549 | − | 0.224935i | ||||
\(896\) | −0.235642 | − | 0.647420i | −0.00787224 | − | 0.0216288i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 9.47818 | − | 13.5362i | 0.316291 | − | 0.451710i | ||||
\(899\) | −3.12561 | − | 5.41371i | −0.104245 | − | 0.180557i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 1.30786 | − | 2.26528i | 0.0435711 | − | 0.0754673i | ||||
\(902\) | −18.5176 | − | 39.7111i | −0.616568 | − | 1.32223i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −2.82885 | + | 3.37130i | −0.0940863 | + | 0.112128i | ||||
\(905\) | −37.9579 | − | 5.78495i | −1.26176 | − | 0.192298i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −41.8937 | + | 19.5353i | −1.39106 | + | 0.648660i | −0.966482 | − | 0.256733i | \(-0.917354\pi\) |
−0.424574 | + | 0.905393i | \(0.639576\pi\) | |||||||
\(908\) | 5.60974 | + | 20.9358i | 0.186166 | + | 0.694780i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −2.22001 | − | 7.57490i | −0.0735928 | − | 0.251105i | ||||
\(911\) | −23.7870 | + | 4.19429i | −0.788098 | + | 0.138963i | −0.553191 | − | 0.833055i | \(-0.686590\pi\) |
−0.234908 | + | 0.972018i | \(0.575479\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −32.4459 | − | 15.1298i | −1.07380 | − | 0.500723i | ||||
\(914\) | −4.88831 | + | 27.7230i | −0.161691 | + | 0.916994i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 11.4589 | − | 9.61516i | 0.378613 | − | 0.317694i | ||||
\(917\) | −5.25186 | − | 5.25186i | −0.173432 | − | 0.173432i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | − | 26.6607i | − | 0.879455i | −0.898131 | − | 0.439727i | \(-0.855075\pi\) | ||
0.898131 | − | 0.439727i | \(-0.144925\pi\) | |||||||
\(920\) | −18.2625 | − | 6.16923i | −0.602096 | − | 0.203394i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −1.10947 | − | 1.58449i | −0.0365386 | − | 0.0521825i | ||||
\(923\) | −0.917613 | + | 1.96783i | −0.0302036 | + | 0.0647718i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 36.2584 | − | 19.0111i | 1.19217 | − | 0.625083i | ||||
\(926\) | −3.43972 | + | 1.98593i | −0.113036 | + | 0.0652616i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −4.97241 | + | 1.33235i | −0.163227 | + | 0.0437366i | ||||
\(929\) | 40.2501 | + | 14.6498i | 1.32056 | + | 0.480645i | 0.903638 | − | 0.428296i | \(-0.140886\pi\) |
0.416924 | + | 0.908941i | \(0.363108\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 35.8750 | + | 30.1027i | 1.17575 | + | 0.986575i | ||||
\(932\) | −2.05411 | − | 23.4786i | −0.0672845 | − | 0.769065i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 9.04453 | − | 24.8496i | 0.295946 | − | 0.813105i | ||||
\(935\) | −1.90861 | − | 1.82170i | −0.0624181 | − | 0.0595761i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 31.8122 | + | 8.52406i | 1.03926 | + | 0.278469i | 0.737807 | − | 0.675012i | \(-0.235862\pi\) |
0.301453 | + | 0.953481i | \(0.402528\pi\) | |||||||
\(938\) | −5.41098 | − | 3.78881i | −0.176675 | − | 0.123709i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −0.877274 | − | 7.90255i | −0.0286135 | − | 0.257753i | ||||
\(941\) | 15.6178 | + | 2.75384i | 0.509125 | + | 0.0897725i | 0.422309 | − | 0.906452i | \(-0.361220\pi\) |
0.0868161 | + | 0.996224i | \(0.472331\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 73.0632 | + | 6.39220i | 2.37926 | + | 0.208159i | ||||
\(944\) | −2.81530 | −0.0916303 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −2.26133 | −0.0735222 | ||||||||
\(947\) | 22.5639 | + | 1.97409i | 0.733228 | + | 0.0641492i | 0.447653 | − | 0.894207i | \(-0.352260\pi\) |
0.285575 | + | 0.958356i | \(0.407815\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −28.7356 | − | 5.06686i | −0.932797 | − | 0.164477i | ||||
\(950\) | −21.9290 | − | 28.4044i | −0.711470 | − | 0.921561i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0.129302 | + | 0.0905386i | 0.00419072 | + | 0.00293437i | ||||
\(953\) | 54.3042 | + | 14.5508i | 1.75909 | + | 0.471346i | 0.986527 | − | 0.163596i | \(-0.0523094\pi\) |
0.772560 | + | 0.634942i | \(0.218976\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −39.1564 | + | 0.912209i | −1.26707 | + | 0.0295184i | ||||
\(956\) | −3.89812 | + | 10.7100i | −0.126074 | + | 0.346386i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −1.15385 | − | 13.1885i | −0.0372791 | − | 0.426102i | ||||
\(959\) | 1.54834 | + | 1.29921i | 0.0499986 | + | 0.0419538i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 27.7448 | + | 10.0983i | 0.894993 | + | 0.325751i | ||||
\(962\) | 40.5236 | − | 10.8583i | 1.30653 | − | 0.350084i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −18.9353 | + | 10.9323i | −0.609865 | + | 0.352105i | ||||
\(965\) | −0.853023 | + | 13.3157i | −0.0274598 | + | 0.428647i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 6.52300 | − | 13.9886i | 0.209765 | − | 0.449844i | −0.773072 | − | 0.634319i | \(-0.781281\pi\) |
0.982837 | + | 0.184475i | \(0.0590585\pi\) | |||||||
\(968\) | 8.90431 | + | 12.7167i | 0.286195 | + | 0.408729i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −9.67941 | + | 28.6535i | −0.310787 | + | 0.920007i | ||||
\(971\) | 47.8033i | 1.53408i | 0.641599 | + | 0.767040i | \(0.278271\pi\) | ||||
−0.641599 | + | 0.767040i | \(0.721729\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −0.501396 | − | 0.501396i | −0.0160740 | − | 0.0160740i | ||||
\(974\) | 9.97781 | − | 8.37238i | 0.319710 | − | 0.268268i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0.117426 | − | 0.665953i | 0.00375870 | − | 0.0213167i | ||||
\(977\) | 2.12391 | + | 0.990393i | 0.0679498 | + | 0.0316855i | 0.456296 | − | 0.889828i | \(-0.349176\pi\) |
−0.388346 | + | 0.921513i | \(0.626954\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 1.04469 | − | 0.184206i | 0.0333883 | − | 0.00588726i | ||||
\(980\) | −12.8027 | − | 6.99925i | −0.408968 | − | 0.223583i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −7.28398 | − | 27.1842i | −0.232441 | − | 0.867482i | ||||
\(983\) | 13.4725 | − | 6.28233i | 0.429706 | − | 0.200375i | −0.195718 | − | 0.980660i | \(-0.562704\pi\) |
0.625424 | + | 0.780285i | \(0.284926\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −11.0706 | − | 15.0518i | −0.352740 | − | 0.479591i | ||||
\(986\) | 0.758110 | − | 0.903480i | 0.0241431 | − | 0.0287727i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −15.5406 | − | 33.3270i | −0.494413 | − | 1.06027i | ||||
\(989\) | 1.89257 | − | 3.27803i | 0.0601803 | − | 0.104235i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −16.8966 | − | 29.2658i | −0.536739 | − | 0.929659i | −0.999077 | − | 0.0429551i | \(-0.986323\pi\) |
0.462338 | − | 0.886704i | \(-0.347011\pi\) | |||||||
\(992\) | −0.696519 | + | 0.994733i | −0.0221145 | + | 0.0315828i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −0.0998570 | − | 0.274355i | −0.00316727 | − | 0.00870201i | ||||
\(995\) | 28.0104 | − | 10.9403i | 0.887989 | − | 0.346830i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −3.63234 | + | 41.5179i | −0.115037 | + | 1.31488i | 0.690929 | + | 0.722923i | \(0.257202\pi\) |
−0.805966 | + | 0.591961i | \(0.798354\pi\) | |||||||
\(998\) | −20.8120 | + | 20.8120i | −0.658794 | + | 0.658794i | ||||
\(999\) | 0 | 0 |
(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 | 810.2.s.a.773.7 | 216 | ||
3.2 | odd | 2 | 270.2.r.a.113.18 | ✓ | 216 | ||
5.2 | odd | 4 | inner | 810.2.s.a.287.10 | 216 | ||
15.2 | even | 4 | 270.2.r.a.167.5 | yes | 216 | ||
27.11 | odd | 18 | inner | 810.2.s.a.683.10 | 216 | ||
27.16 | even | 9 | 270.2.r.a.173.5 | yes | 216 | ||
135.92 | even | 36 | inner | 810.2.s.a.197.7 | 216 | ||
135.97 | odd | 36 | 270.2.r.a.227.18 | yes | 216 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
270.2.r.a.113.18 | ✓ | 216 | 3.2 | odd | 2 | ||
270.2.r.a.167.5 | yes | 216 | 15.2 | even | 4 | ||
270.2.r.a.173.5 | yes | 216 | 27.16 | even | 9 | ||
270.2.r.a.227.18 | yes | 216 | 135.97 | odd | 36 | ||
810.2.s.a.197.7 | 216 | 135.92 | even | 36 | inner | ||
810.2.s.a.287.10 | 216 | 5.2 | odd | 4 | inner | ||
810.2.s.a.683.10 | 216 | 27.11 | odd | 18 | inner | ||
810.2.s.a.773.7 | 216 | 1.1 | even | 1 | trivial |