Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [630,2,Mod(311,630)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(630, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([5, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("630.311");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 630 = 2 \cdot 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 630.t (of order \(6\), degree \(2\), 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: | \(5.03057532734\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 311.4 | ||
Character | \(\chi\) | \(=\) | 630.311 |
Dual form | 630.2.t.b.551.4 |
$q$-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 \(\left(\mathbb{Z}/630\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(281\) | \(451\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.866025 | − | 0.500000i | −0.612372 | − | 0.353553i | ||||
\(3\) | 0.404488 | − | 1.68416i | 0.233531 | − | 0.972349i | ||||
\(4\) | 0.500000 | + | 0.866025i | 0.250000 | + | 0.433013i | ||||
\(5\) | −1.00000 | −0.447214 | ||||||||
\(6\) | −1.19238 | + | 1.25628i | −0.486786 | + | 0.512874i | ||||
\(7\) | 1.07313 | + | 2.41835i | 0.405604 | + | 0.914049i | ||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | −2.67278 | − | 1.36244i | −0.890926 | − | 0.454148i | ||||
\(10\) | 0.866025 | + | 0.500000i | 0.273861 | + | 0.158114i | ||||
\(11\) | 4.51143i | 1.36025i | 0.733098 | + | 0.680123i | \(0.238074\pi\) | ||||
−0.733098 | + | 0.680123i | \(0.761926\pi\) | |||||||
\(12\) | 1.66077 | − | 0.491782i | 0.479422 | − | 0.141965i | ||||
\(13\) | 1.92602 | + | 1.11199i | 0.534181 | + | 0.308410i | 0.742717 | − | 0.669605i | \(-0.233537\pi\) |
−0.208536 | + | 0.978015i | \(0.566870\pi\) | |||||||
\(14\) | 0.279818 | − | 2.63091i | 0.0747846 | − | 0.703141i | ||||
\(15\) | −0.404488 | + | 1.68416i | −0.104438 | + | 0.434848i | ||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | −3.31479 | + | 5.74138i | −0.803954 | + | 1.39249i | 0.113041 | + | 0.993590i | \(0.463941\pi\) |
−0.916995 | + | 0.398899i | \(0.869392\pi\) | |||||||
\(18\) | 1.63347 | + | 2.51630i | 0.385013 | + | 0.593098i | ||||
\(19\) | 6.71016 | − | 3.87412i | 1.53942 | − | 0.888783i | 0.540545 | − | 0.841315i | \(-0.318218\pi\) |
0.998873 | − | 0.0474677i | \(-0.0151151\pi\) | |||||||
\(20\) | −0.500000 | − | 0.866025i | −0.111803 | − | 0.193649i | ||||
\(21\) | 4.50695 | − | 0.829123i | 0.983496 | − | 0.180929i | ||||
\(22\) | 2.25571 | − | 3.90701i | 0.480920 | − | 0.832977i | ||||
\(23\) | 5.02232i | 1.04723i | 0.851956 | + | 0.523613i | \(0.175416\pi\) | ||||
−0.851956 | + | 0.523613i | \(0.824584\pi\) | |||||||
\(24\) | −1.68416 | − | 0.404488i | −0.343777 | − | 0.0825658i | ||||
\(25\) | 1.00000 | 0.200000 | ||||||||
\(26\) | −1.11199 | − | 1.92602i | −0.218078 | − | 0.377723i | ||||
\(27\) | −3.37568 | + | 3.95029i | −0.649650 | + | 0.760234i | ||||
\(28\) | −1.55779 | + | 2.13853i | −0.294394 | + | 0.404144i | ||||
\(29\) | 1.08021 | − | 0.623662i | 0.200591 | − | 0.115811i | −0.396340 | − | 0.918104i | \(-0.629720\pi\) |
0.596931 | + | 0.802293i | \(0.296387\pi\) | |||||||
\(30\) | 1.19238 | − | 1.25628i | 0.217697 | − | 0.229364i | ||||
\(31\) | −4.32162 | + | 2.49509i | −0.776186 | + | 0.448131i | −0.835077 | − | 0.550133i | \(-0.814577\pi\) |
0.0588911 | + | 0.998264i | \(0.481244\pi\) | |||||||
\(32\) | 0.866025 | − | 0.500000i | 0.153093 | − | 0.0883883i | ||||
\(33\) | 7.59796 | + | 1.82482i | 1.32263 | + | 0.317660i | ||||
\(34\) | 5.74138 | − | 3.31479i | 0.984639 | − | 0.568481i | ||||
\(35\) | −1.07313 | − | 2.41835i | −0.181392 | − | 0.408775i | ||||
\(36\) | −0.156478 | − | 2.99592i | −0.0260797 | − | 0.499319i | ||||
\(37\) | −0.475116 | − | 0.822924i | −0.0781085 | − | 0.135288i | 0.824325 | − | 0.566116i | \(-0.191555\pi\) |
−0.902434 | + | 0.430828i | \(0.858221\pi\) | |||||||
\(38\) | −7.74823 | −1.25693 | ||||||||
\(39\) | 2.65181 | − | 2.79393i | 0.424630 | − | 0.447387i | ||||
\(40\) | 1.00000i | 0.158114i | ||||||||
\(41\) | 4.31268 | − | 7.46978i | 0.673527 | − | 1.16658i | −0.303370 | − | 0.952873i | \(-0.598112\pi\) |
0.976897 | − | 0.213711i | \(-0.0685550\pi\) | |||||||
\(42\) | −4.31769 | − | 1.53543i | −0.666234 | − | 0.236922i | ||||
\(43\) | 4.87159 | + | 8.43784i | 0.742911 | + | 1.28676i | 0.951165 | + | 0.308684i | \(0.0998887\pi\) |
−0.208254 | + | 0.978075i | \(0.566778\pi\) | |||||||
\(44\) | −3.90701 | + | 2.25571i | −0.589004 | + | 0.340062i | ||||
\(45\) | 2.67278 | + | 1.36244i | 0.398434 | + | 0.203101i | ||||
\(46\) | 2.51116 | − | 4.34946i | 0.370251 | − | 0.641293i | ||||
\(47\) | 2.53212 | − | 4.38576i | 0.369348 | − | 0.639729i | −0.620116 | − | 0.784510i | \(-0.712914\pi\) |
0.989464 | + | 0.144781i | \(0.0462478\pi\) | |||||||
\(48\) | 1.25628 | + | 1.19238i | 0.181328 | + | 0.172105i | ||||
\(49\) | −4.69680 | + | 5.19038i | −0.670971 | + | 0.741483i | ||||
\(50\) | −0.866025 | − | 0.500000i | −0.122474 | − | 0.0707107i | ||||
\(51\) | 8.32860 | + | 7.90495i | 1.16624 | + | 1.10691i | ||||
\(52\) | 2.22397i | 0.308410i | ||||||||
\(53\) | −4.68518 | − | 2.70499i | −0.643559 | − | 0.371559i | 0.142425 | − | 0.989806i | \(-0.454510\pi\) |
−0.785984 | + | 0.618246i | \(0.787843\pi\) | |||||||
\(54\) | 4.89857 | − | 1.73321i | 0.666611 | − | 0.235860i | ||||
\(55\) | − | 4.51143i | − | 0.608321i | ||||||
\(56\) | 2.41835 | − | 1.07313i | 0.323165 | − | 0.143403i | ||||
\(57\) | −3.81044 | − | 12.8680i | −0.504705 | − | 1.70441i | ||||
\(58\) | −1.24732 | −0.163782 | ||||||||
\(59\) | −1.63861 | − | 2.83816i | −0.213329 | − | 0.369497i | 0.739425 | − | 0.673239i | \(-0.235097\pi\) |
−0.952754 | + | 0.303742i | \(0.901764\pi\) | |||||||
\(60\) | −1.66077 | + | 0.491782i | −0.214404 | + | 0.0634888i | ||||
\(61\) | 9.88563 | + | 5.70747i | 1.26573 | + | 0.730767i | 0.974176 | − | 0.225789i | \(-0.0724960\pi\) |
0.291549 | + | 0.956556i | \(0.405829\pi\) | |||||||
\(62\) | 4.99018 | 0.633753 | ||||||||
\(63\) | 0.426632 | − | 7.92578i | 0.0537505 | − | 0.998554i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | −1.92602 | − | 1.11199i | −0.238893 | − | 0.137925i | ||||
\(66\) | −5.66761 | − | 5.37932i | −0.697635 | − | 0.662148i | ||||
\(67\) | −2.76915 | − | 4.79631i | −0.338306 | − | 0.585963i | 0.645808 | − | 0.763500i | \(-0.276521\pi\) |
−0.984114 | + | 0.177537i | \(0.943187\pi\) | |||||||
\(68\) | −6.62958 | −0.803954 | ||||||||
\(69\) | 8.45839 | + | 2.03147i | 1.01827 | + | 0.244560i | ||||
\(70\) | −0.279818 | + | 2.63091i | −0.0334447 | + | 0.314454i | ||||
\(71\) | − | 9.57979i | − | 1.13691i | −0.822714 | − | 0.568456i | \(-0.807541\pi\) | ||
0.822714 | − | 0.568456i | \(-0.192459\pi\) | |||||||
\(72\) | −1.36244 | + | 2.67278i | −0.160566 | + | 0.314990i | ||||
\(73\) | 1.11202 | + | 0.642023i | 0.130152 | + | 0.0751431i | 0.563662 | − | 0.826005i | \(-0.309392\pi\) |
−0.433511 | + | 0.901148i | \(0.642725\pi\) | |||||||
\(74\) | 0.950231i | 0.110462i | ||||||||
\(75\) | 0.404488 | − | 1.68416i | 0.0467063 | − | 0.194470i | ||||
\(76\) | 6.71016 | + | 3.87412i | 0.769709 | + | 0.444392i | ||||
\(77\) | −10.9102 | + | 4.84133i | −1.24333 | + | 0.551721i | ||||
\(78\) | −3.69350 | + | 1.09371i | −0.418207 | + | 0.123838i | ||||
\(79\) | 1.98062 | − | 3.43054i | 0.222837 | − | 0.385966i | −0.732831 | − | 0.680411i | \(-0.761801\pi\) |
0.955668 | + | 0.294445i | \(0.0951348\pi\) | |||||||
\(80\) | 0.500000 | − | 0.866025i | 0.0559017 | − | 0.0968246i | ||||
\(81\) | 5.28749 | + | 7.28302i | 0.587499 | + | 0.809225i | ||||
\(82\) | −7.46978 | + | 4.31268i | −0.824899 | + | 0.476256i | ||||
\(83\) | 5.71593 | + | 9.90029i | 0.627405 | + | 1.08670i | 0.988070 | + | 0.154003i | \(0.0492164\pi\) |
−0.360665 | + | 0.932695i | \(0.617450\pi\) | |||||||
\(84\) | 2.97151 | + | 3.48857i | 0.324219 | + | 0.380634i | ||||
\(85\) | 3.31479 | − | 5.74138i | 0.359539 | − | 0.622740i | ||||
\(86\) | − | 9.74318i | − | 1.05063i | ||||||
\(87\) | −0.613411 | − | 2.07151i | −0.0657646 | − | 0.222090i | ||||
\(88\) | 4.51143 | 0.480920 | ||||||||
\(89\) | 8.89050 | + | 15.3988i | 0.942392 | + | 1.63227i | 0.760892 | + | 0.648879i | \(0.224762\pi\) |
0.181500 | + | 0.983391i | \(0.441905\pi\) | |||||||
\(90\) | −1.63347 | − | 2.51630i | −0.172183 | − | 0.265241i | ||||
\(91\) | −0.622308 | + | 5.85108i | −0.0652356 | + | 0.613360i | ||||
\(92\) | −4.34946 | + | 2.51116i | −0.453463 | + | 0.261807i | ||||
\(93\) | 2.45408 | + | 8.28752i | 0.254476 | + | 0.859376i | ||||
\(94\) | −4.38576 | + | 2.53212i | −0.452357 | + | 0.261168i | ||||
\(95\) | −6.71016 | + | 3.87412i | −0.688448 | + | 0.397476i | ||||
\(96\) | −0.491782 | − | 1.66077i | −0.0501923 | − | 0.169501i | ||||
\(97\) | −7.24779 | + | 4.18451i | −0.735901 | + | 0.424873i | −0.820577 | − | 0.571536i | \(-0.806348\pi\) |
0.0846758 | + | 0.996409i | \(0.473015\pi\) | |||||||
\(98\) | 6.66274 | − | 2.14660i | 0.673038 | − | 0.216840i | ||||
\(99\) | 6.14657 | − | 12.0580i | 0.617753 | − | 1.21188i | ||||
\(100\) | 0.500000 | + | 0.866025i | 0.0500000 | + | 0.0866025i | ||||
\(101\) | 11.6336 | 1.15759 | 0.578793 | − | 0.815475i | \(-0.303524\pi\) | ||||
0.578793 | + | 0.815475i | \(0.303524\pi\) | |||||||
\(102\) | −3.26031 | − | 11.0102i | −0.322819 | − | 1.09017i | ||||
\(103\) | − | 13.3778i | − | 1.31815i | −0.752077 | − | 0.659075i | \(-0.770948\pi\) | ||
0.752077 | − | 0.659075i | \(-0.229052\pi\) | |||||||
\(104\) | 1.11199 | − | 1.92602i | 0.109039 | − | 0.188862i | ||||
\(105\) | −4.50695 | + | 0.829123i | −0.439833 | + | 0.0809141i | ||||
\(106\) | 2.70499 | + | 4.68518i | 0.262732 | + | 0.455065i | ||||
\(107\) | −9.50931 | + | 5.49020i | −0.919300 | + | 0.530758i | −0.883412 | − | 0.468598i | \(-0.844759\pi\) |
−0.0358882 | + | 0.999356i | \(0.511426\pi\) | |||||||
\(108\) | −5.10889 | − | 0.948278i | −0.491603 | − | 0.0912481i | ||||
\(109\) | −7.73421 | + | 13.3960i | −0.740803 | + | 1.28311i | 0.211327 | + | 0.977415i | \(0.432221\pi\) |
−0.952130 | + | 0.305693i | \(0.901112\pi\) | |||||||
\(110\) | −2.25571 | + | 3.90701i | −0.215074 | + | 0.372519i | ||||
\(111\) | −1.57811 | + | 0.467307i | −0.149788 | + | 0.0443548i | ||||
\(112\) | −2.63091 | − | 0.279818i | −0.248598 | − | 0.0264403i | ||||
\(113\) | −2.97068 | − | 1.71512i | −0.279458 | − | 0.161345i | 0.353720 | − | 0.935351i | \(-0.384917\pi\) |
−0.633178 | + | 0.774006i | \(0.718250\pi\) | |||||||
\(114\) | −3.13407 | + | 13.0492i | −0.293532 | + | 1.22217i | ||||
\(115\) | − | 5.02232i | − | 0.468334i | ||||||
\(116\) | 1.08021 | + | 0.623662i | 0.100295 | + | 0.0579055i | ||||
\(117\) | −3.63280 | − | 5.59618i | −0.335852 | − | 0.517367i | ||||
\(118\) | 3.27723i | 0.301693i | ||||||||
\(119\) | −17.4418 | − | 1.85508i | −1.59889 | − | 0.170055i | ||||
\(120\) | 1.68416 | + | 0.404488i | 0.153742 | + | 0.0369245i | ||||
\(121\) | −9.35297 | −0.850270 | ||||||||
\(122\) | −5.70747 | − | 9.88563i | −0.516730 | − | 0.895003i | ||||
\(123\) | −10.8359 | − | 10.2847i | −0.977037 | − | 0.927338i | ||||
\(124\) | −4.32162 | − | 2.49509i | −0.388093 | − | 0.224065i | ||||
\(125\) | −1.00000 | −0.0894427 | ||||||||
\(126\) | −4.33236 | + | 6.65061i | −0.385958 | + | 0.592484i | ||||
\(127\) | −4.42037 | −0.392244 | −0.196122 | − | 0.980579i | \(-0.562835\pi\) | ||||
−0.196122 | + | 0.980579i | \(0.562835\pi\) | |||||||
\(128\) | 0.866025 | + | 0.500000i | 0.0765466 | + | 0.0441942i | ||||
\(129\) | 16.1812 | − | 4.79152i | 1.42467 | − | 0.421870i | ||||
\(130\) | 1.11199 | + | 1.92602i | 0.0975277 | + | 0.168923i | ||||
\(131\) | −8.34437 | −0.729051 | −0.364525 | − | 0.931193i | \(-0.618769\pi\) | ||||
−0.364525 | + | 0.931193i | \(0.618769\pi\) | |||||||
\(132\) | 2.21864 | + | 7.49243i | 0.193108 | + | 0.652132i | ||||
\(133\) | 16.5698 | + | 12.0701i | 1.43678 | + | 1.04661i | ||||
\(134\) | 5.53831i | 0.478437i | ||||||||
\(135\) | 3.37568 | − | 3.95029i | 0.290532 | − | 0.339987i | ||||
\(136\) | 5.74138 | + | 3.31479i | 0.492319 | + | 0.284241i | ||||
\(137\) | 11.4602i | 0.979113i | 0.871972 | + | 0.489556i | \(0.162841\pi\) | ||||
−0.871972 | + | 0.489556i | \(0.837159\pi\) | |||||||
\(138\) | −6.30944 | − | 5.98850i | −0.537096 | − | 0.509775i | ||||
\(139\) | −2.95770 | − | 1.70763i | −0.250869 | − | 0.144839i | 0.369293 | − | 0.929313i | \(-0.379600\pi\) |
−0.620162 | + | 0.784474i | \(0.712933\pi\) | |||||||
\(140\) | 1.55779 | − | 2.13853i | 0.131657 | − | 0.180739i | ||||
\(141\) | −6.36210 | − | 6.03848i | −0.535786 | − | 0.508532i | ||||
\(142\) | −4.78989 | + | 8.29634i | −0.401959 | + | 0.696214i | ||||
\(143\) | −5.01664 | + | 8.68908i | −0.419513 | + | 0.726618i | ||||
\(144\) | 2.51630 | − | 1.63347i | 0.209692 | − | 0.136123i | ||||
\(145\) | −1.08021 | + | 0.623662i | −0.0897069 | + | 0.0517923i | ||||
\(146\) | −0.642023 | − | 1.11202i | −0.0531342 | − | 0.0920311i | ||||
\(147\) | 6.84163 | + | 10.0096i | 0.564288 | + | 0.825578i | ||||
\(148\) | 0.475116 | − | 0.822924i | 0.0390543 | − | 0.0676440i | ||||
\(149\) | − | 17.7452i | − | 1.45374i | −0.686775 | − | 0.726870i | \(-0.740974\pi\) | ||
0.686775 | − | 0.726870i | \(-0.259026\pi\) | |||||||
\(150\) | −1.19238 | + | 1.25628i | −0.0973571 | + | 0.102575i | ||||
\(151\) | 1.40189 | 0.114085 | 0.0570423 | − | 0.998372i | \(-0.481833\pi\) | ||||
0.0570423 | + | 0.998372i | \(0.481833\pi\) | |||||||
\(152\) | −3.87412 | − | 6.71016i | −0.314232 | − | 0.544266i | ||||
\(153\) | 16.6820 | − | 10.8292i | 1.34866 | − | 0.875491i | ||||
\(154\) | 11.8692 | + | 1.26238i | 0.956445 | + | 0.101725i | ||||
\(155\) | 4.32162 | − | 2.49509i | 0.347121 | − | 0.200410i | ||||
\(156\) | 3.74552 | + | 0.899571i | 0.299882 | + | 0.0720233i | ||||
\(157\) | −13.6405 | + | 7.87534i | −1.08863 | + | 0.628520i | −0.933211 | − | 0.359329i | \(-0.883006\pi\) |
−0.155418 | + | 0.987849i | \(0.549672\pi\) | |||||||
\(158\) | −3.43054 | + | 1.98062i | −0.272919 | + | 0.157570i | ||||
\(159\) | −6.45074 | + | 6.79645i | −0.511577 | + | 0.538994i | ||||
\(160\) | −0.866025 | + | 0.500000i | −0.0684653 | + | 0.0395285i | ||||
\(161\) | −12.1457 | + | 5.38959i | −0.957217 | + | 0.424759i | ||||
\(162\) | −0.937591 | − | 8.95103i | −0.0736641 | − | 0.703259i | ||||
\(163\) | −0.789054 | − | 1.36668i | −0.0618035 | − | 0.107047i | 0.833468 | − | 0.552568i | \(-0.186352\pi\) |
−0.895272 | + | 0.445521i | \(0.853019\pi\) | |||||||
\(164\) | 8.62536 | 0.673527 | ||||||||
\(165\) | −7.59796 | − | 1.82482i | −0.591500 | − | 0.142062i | ||||
\(166\) | − | 11.4319i | − | 0.887285i | ||||||
\(167\) | 4.60834 | − | 7.98188i | 0.356604 | − | 0.617656i | −0.630787 | − | 0.775956i | \(-0.717268\pi\) |
0.987391 | + | 0.158300i | \(0.0506012\pi\) | |||||||
\(168\) | −0.829123 | − | 4.50695i | −0.0639682 | − | 0.347718i | ||||
\(169\) | −4.02697 | − | 6.97492i | −0.309767 | − | 0.536532i | ||||
\(170\) | −5.74138 | + | 3.31479i | −0.440344 | + | 0.254233i | ||||
\(171\) | −23.2131 | + | 1.21243i | −1.77515 | + | 0.0927168i | ||||
\(172\) | −4.87159 | + | 8.43784i | −0.371455 | + | 0.643380i | ||||
\(173\) | −1.26455 | + | 2.19027i | −0.0961423 | + | 0.166523i | −0.910085 | − | 0.414422i | \(-0.863984\pi\) |
0.813942 | + | 0.580945i | \(0.197317\pi\) | |||||||
\(174\) | −0.504527 | + | 2.10069i | −0.0382481 | + | 0.159253i | ||||
\(175\) | 1.07313 | + | 2.41835i | 0.0811207 | + | 0.182810i | ||||
\(176\) | −3.90701 | − | 2.25571i | −0.294502 | − | 0.170031i | ||||
\(177\) | −5.44271 | + | 1.61168i | −0.409099 | + | 0.121141i | ||||
\(178\) | − | 17.7810i | − | 1.33274i | ||||||
\(179\) | −9.58793 | − | 5.53559i | −0.716635 | − | 0.413750i | 0.0968777 | − | 0.995296i | \(-0.469114\pi\) |
−0.813513 | + | 0.581547i | \(0.802448\pi\) | |||||||
\(180\) | 0.156478 | + | 2.99592i | 0.0116632 | + | 0.223302i | ||||
\(181\) | − | 17.6466i | − | 1.31166i | −0.754908 | − | 0.655831i | \(-0.772318\pi\) | ||
0.754908 | − | 0.655831i | \(-0.227682\pi\) | |||||||
\(182\) | 3.46447 | − | 4.75603i | 0.256804 | − | 0.352540i | ||||
\(183\) | 13.6109 | − | 14.3404i | 1.00615 | − | 1.06007i | ||||
\(184\) | 5.02232 | 0.370251 | ||||||||
\(185\) | 0.475116 | + | 0.822924i | 0.0349312 | + | 0.0605026i | ||||
\(186\) | 2.01847 | − | 8.40425i | 0.148001 | − | 0.616229i | ||||
\(187\) | −25.9018 | − | 14.9544i | −1.89413 | − | 1.09358i | ||||
\(188\) | 5.06424 | 0.369348 | ||||||||
\(189\) | −13.1757 | − | 3.92440i | −0.958391 | − | 0.285458i | ||||
\(190\) | 7.74823 | 0.562116 | ||||||||
\(191\) | −8.00675 | − | 4.62270i | −0.579348 | − | 0.334487i | 0.181526 | − | 0.983386i | \(-0.441896\pi\) |
−0.760874 | + | 0.648899i | \(0.775230\pi\) | |||||||
\(192\) | −0.404488 | + | 1.68416i | −0.0291914 | + | 0.121544i | ||||
\(193\) | 8.98854 | + | 15.5686i | 0.647010 | + | 1.12065i | 0.983833 | + | 0.179086i | \(0.0573140\pi\) |
−0.336824 | + | 0.941568i | \(0.609353\pi\) | |||||||
\(194\) | 8.36903 | 0.600861 | ||||||||
\(195\) | −2.65181 | + | 2.79393i | −0.189900 | + | 0.200078i | ||||
\(196\) | −6.84340 | − | 1.47236i | −0.488815 | − | 0.105168i | ||||
\(197\) | 11.1779i | 0.796394i | 0.917300 | + | 0.398197i | \(0.130364\pi\) | ||||
−0.917300 | + | 0.398197i | \(0.869636\pi\) | |||||||
\(198\) | −11.3521 | + | 7.36929i | −0.806759 | + | 0.523713i | ||||
\(199\) | 2.62204 | + | 1.51384i | 0.185872 | + | 0.107313i | 0.590048 | − | 0.807368i | \(-0.299109\pi\) |
−0.404177 | + | 0.914681i | \(0.632442\pi\) | |||||||
\(200\) | − | 1.00000i | − | 0.0707107i | ||||||
\(201\) | −9.19784 | + | 2.72364i | −0.648766 | + | 0.192111i | ||||
\(202\) | −10.0750 | − | 5.81680i | −0.708874 | − | 0.409268i | ||||
\(203\) | 2.66744 | + | 1.94306i | 0.187217 | + | 0.136376i | ||||
\(204\) | −2.68158 | + | 11.1653i | −0.187748 | + | 0.781724i | ||||
\(205\) | −4.31268 | + | 7.46978i | −0.301211 | + | 0.521712i | ||||
\(206\) | −6.68888 | + | 11.5855i | −0.466037 | + | 0.807199i | ||||
\(207\) | 6.84263 | − | 13.4236i | 0.475596 | − | 0.933002i | ||||
\(208\) | −1.92602 | + | 1.11199i | −0.133545 | + | 0.0771024i | ||||
\(209\) | 17.4778 | + | 30.2724i | 1.20896 | + | 2.09399i | ||||
\(210\) | 4.31769 | + | 1.53543i | 0.297949 | + | 0.105955i | ||||
\(211\) | 8.99690 | − | 15.5831i | 0.619372 | − | 1.07278i | −0.370228 | − | 0.928941i | \(-0.620721\pi\) |
0.989601 | − | 0.143843i | \(-0.0459461\pi\) | |||||||
\(212\) | − | 5.40998i | − | 0.371559i | ||||||
\(213\) | −16.1339 | − | 3.87491i | −1.10548 | − | 0.265505i | ||||
\(214\) | 10.9804 | 0.750605 | ||||||||
\(215\) | −4.87159 | − | 8.43784i | −0.332240 | − | 0.575456i | ||||
\(216\) | 3.95029 | + | 3.37568i | 0.268783 | + | 0.229686i | ||||
\(217\) | −10.6716 | − | 7.77363i | −0.724437 | − | 0.527708i | ||||
\(218\) | 13.3960 | − | 7.73421i | 0.907295 | − | 0.523827i | ||||
\(219\) | 1.53106 | − | 1.61312i | 0.103460 | − | 0.109005i | ||||
\(220\) | 3.90701 | − | 2.25571i | 0.263411 | − | 0.152080i | ||||
\(221\) | −12.7687 | + | 7.37200i | −0.858914 | + | 0.495894i | ||||
\(222\) | 1.60034 | + | 0.384357i | 0.107408 | + | 0.0257964i | ||||
\(223\) | −10.6762 | + | 6.16390i | −0.714931 | + | 0.412765i | −0.812884 | − | 0.582426i | \(-0.802104\pi\) |
0.0979533 | + | 0.995191i | \(0.468770\pi\) | |||||||
\(224\) | 2.13853 | + | 1.55779i | 0.142886 | + | 0.104084i | ||||
\(225\) | −2.67278 | − | 1.36244i | −0.178185 | − | 0.0908296i | ||||
\(226\) | 1.71512 | + | 2.97068i | 0.114088 | + | 0.197607i | ||||
\(227\) | 12.1983 | 0.809627 | 0.404813 | − | 0.914399i | \(-0.367337\pi\) | ||||
0.404813 | + | 0.914399i | \(0.367337\pi\) | |||||||
\(228\) | 9.23881 | − | 9.73395i | 0.611855 | − | 0.644646i | ||||
\(229\) | 12.2318i | 0.808302i | 0.914692 | + | 0.404151i | \(0.132433\pi\) | ||||
−0.914692 | + | 0.404151i | \(0.867567\pi\) | |||||||
\(230\) | −2.51116 | + | 4.34946i | −0.165581 | + | 0.286795i | ||||
\(231\) | 3.74053 | + | 20.3328i | 0.246109 | + | 1.33780i | ||||
\(232\) | −0.623662 | − | 1.08021i | −0.0409454 | − | 0.0709195i | ||||
\(233\) | −0.604674 | + | 0.349109i | −0.0396135 | + | 0.0228709i | −0.519676 | − | 0.854363i | \(-0.673947\pi\) |
0.480062 | + | 0.877234i | \(0.340614\pi\) | |||||||
\(234\) | 0.348003 | + | 6.66284i | 0.0227497 | + | 0.435563i | ||||
\(235\) | −2.53212 | + | 4.38576i | −0.165177 | + | 0.286096i | ||||
\(236\) | 1.63861 | − | 2.83816i | 0.106665 | − | 0.184749i | ||||
\(237\) | −4.97643 | − | 4.72329i | −0.323254 | − | 0.306811i | ||||
\(238\) | 14.1775 | + | 10.3275i | 0.918993 | + | 0.669430i | ||||
\(239\) | −4.76888 | − | 2.75332i | −0.308473 | − | 0.178097i | 0.337770 | − | 0.941229i | \(-0.390327\pi\) |
−0.646243 | + | 0.763132i | \(0.723661\pi\) | |||||||
\(240\) | −1.25628 | − | 1.19238i | −0.0810925 | − | 0.0769675i | ||||
\(241\) | 17.6732i | 1.13843i | 0.822188 | + | 0.569215i | \(0.192753\pi\) | ||||
−0.822188 | + | 0.569215i | \(0.807247\pi\) | |||||||
\(242\) | 8.09991 | + | 4.67648i | 0.520682 | + | 0.300616i | ||||
\(243\) | 14.4045 | − | 5.95908i | 0.924049 | − | 0.382275i | ||||
\(244\) | 11.4149i | 0.730767i | ||||||||
\(245\) | 4.69680 | − | 5.19038i | 0.300067 | − | 0.331601i | ||||
\(246\) | 4.24180 | + | 14.3247i | 0.270447 | + | 0.913311i | ||||
\(247\) | 17.2319 | 1.09644 | ||||||||
\(248\) | 2.49509 | + | 4.32162i | 0.158438 | + | 0.274423i | ||||
\(249\) | 18.9857 | − | 5.62199i | 1.20317 | − | 0.356279i | ||||
\(250\) | 0.866025 | + | 0.500000i | 0.0547723 | + | 0.0316228i | ||||
\(251\) | 27.8950 | 1.76072 | 0.880359 | − | 0.474308i | \(-0.157302\pi\) | ||||
0.880359 | + | 0.474308i | \(0.157302\pi\) | |||||||
\(252\) | 7.07724 | − | 3.59342i | 0.445824 | − | 0.226364i | ||||
\(253\) | −22.6578 | −1.42449 | ||||||||
\(254\) | 3.82815 | + | 2.21018i | 0.240199 | + | 0.138679i | ||||
\(255\) | −8.32860 | − | 7.90495i | −0.521557 | − | 0.495027i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 14.1508 | 0.882701 | 0.441351 | − | 0.897335i | \(-0.354499\pi\) | ||||
0.441351 | + | 0.897335i | \(0.354499\pi\) | |||||||
\(258\) | −16.4091 | − | 3.94100i | −1.02158 | − | 0.245356i | ||||
\(259\) | 1.48026 | − | 2.03210i | 0.0919787 | − | 0.126268i | ||||
\(260\) | − | 2.22397i | − | 0.137925i | ||||||
\(261\) | −3.73688 | + | 0.195179i | −0.231307 | + | 0.0120813i | ||||
\(262\) | 7.22644 | + | 4.17218i | 0.446451 | + | 0.257758i | ||||
\(263\) | − | 30.7879i | − | 1.89846i | −0.314577 | − | 0.949232i | \(-0.601863\pi\) | ||
0.314577 | − | 0.949232i | \(-0.398137\pi\) | |||||||
\(264\) | 1.82482 | − | 7.59796i | 0.112310 | − | 0.467622i | ||||
\(265\) | 4.68518 | + | 2.70499i | 0.287809 | + | 0.166166i | ||||
\(266\) | −8.31483 | − | 18.7379i | −0.509815 | − | 1.14889i | ||||
\(267\) | 29.5301 | − | 8.74438i | 1.80721 | − | 0.535148i | ||||
\(268\) | 2.76915 | − | 4.79631i | 0.169153 | − | 0.292982i | ||||
\(269\) | 0.272342 | − | 0.471711i | 0.0166050 | − | 0.0287607i | −0.857603 | − | 0.514311i | \(-0.828048\pi\) |
0.874209 | + | 0.485551i | \(0.161381\pi\) | |||||||
\(270\) | −4.89857 | + | 1.73321i | −0.298117 | + | 0.105480i | ||||
\(271\) | 17.9370 | − | 10.3560i | 1.08960 | − | 0.629079i | 0.156128 | − | 0.987737i | \(-0.450099\pi\) |
0.933469 | + | 0.358657i | \(0.116765\pi\) | |||||||
\(272\) | −3.31479 | − | 5.74138i | −0.200989 | − | 0.348122i | ||||
\(273\) | 9.60243 | + | 3.41476i | 0.581165 | + | 0.206671i | ||||
\(274\) | 5.73011 | − | 9.92484i | 0.346169 | − | 0.599582i | ||||
\(275\) | 4.51143i | 0.272049i | ||||||||
\(276\) | 2.46989 | + | 8.34091i | 0.148670 | + | 0.502064i | ||||
\(277\) | −17.4909 | −1.05093 | −0.525464 | − | 0.850816i | \(-0.676108\pi\) | ||||
−0.525464 | + | 0.850816i | \(0.676108\pi\) | |||||||
\(278\) | 1.70763 | + | 2.95770i | 0.102417 | + | 0.177391i | ||||
\(279\) | 14.9501 | − | 0.780854i | 0.895042 | − | 0.0467485i | ||||
\(280\) | −2.41835 | + | 1.07313i | −0.144524 | + | 0.0641316i | ||||
\(281\) | 15.8222 | − | 9.13496i | 0.943874 | − | 0.544946i | 0.0527014 | − | 0.998610i | \(-0.483217\pi\) |
0.891173 | + | 0.453664i | \(0.149884\pi\) | |||||||
\(282\) | 2.49050 | + | 8.41053i | 0.148307 | + | 0.500840i | ||||
\(283\) | 7.97761 | − | 4.60587i | 0.474219 | − | 0.273791i | −0.243785 | − | 0.969829i | \(-0.578389\pi\) |
0.718004 | + | 0.696039i | \(0.245056\pi\) | |||||||
\(284\) | 8.29634 | − | 4.78989i | 0.492297 | − | 0.284228i | ||||
\(285\) | 3.81044 | + | 12.8680i | 0.225711 | + | 0.762235i | ||||
\(286\) | 8.68908 | − | 5.01664i | 0.513796 | − | 0.296640i | ||||
\(287\) | 22.6926 | + | 2.41353i | 1.33950 | + | 0.142466i | ||||
\(288\) | −2.99592 | + | 0.156478i | −0.176536 | + | 0.00922057i | ||||
\(289\) | −13.4756 | − | 23.3405i | −0.792685 | − | 1.37297i | ||||
\(290\) | 1.24732 | 0.0732454 | ||||||||
\(291\) | 4.11574 | + | 13.8990i | 0.241269 | + | 0.814774i | ||||
\(292\) | 1.28405i | 0.0751431i | ||||||||
\(293\) | 6.24576 | − | 10.8180i | 0.364881 | − | 0.631993i | −0.623876 | − | 0.781523i | \(-0.714443\pi\) |
0.988757 | + | 0.149531i | \(0.0477763\pi\) | |||||||
\(294\) | −0.920224 | − | 12.0894i | −0.0536685 | − | 0.705067i | ||||
\(295\) | 1.63861 | + | 2.83816i | 0.0954037 | + | 0.165244i | ||||
\(296\) | −0.822924 | + | 0.475116i | −0.0478315 | + | 0.0276155i | ||||
\(297\) | −17.8214 | − | 15.2291i | −1.03410 | − | 0.883683i | ||||
\(298\) | −8.87258 | + | 15.3678i | −0.513975 | + | 0.890231i | ||||
\(299\) | −5.58476 | + | 9.67308i | −0.322975 | + | 0.559409i | ||||
\(300\) | 1.66077 | − | 0.491782i | 0.0958845 | − | 0.0283931i | ||||
\(301\) | −15.1778 | + | 20.8361i | −0.874834 | + | 1.20097i | ||||
\(302\) | −1.21408 | − | 0.700947i | −0.0698623 | − | 0.0403350i | ||||
\(303\) | 4.70565 | − | 19.5928i | 0.270333 | − | 1.12558i | ||||
\(304\) | 7.74823i | 0.444392i | ||||||||
\(305\) | −9.88563 | − | 5.70747i | −0.566049 | − | 0.326809i | ||||
\(306\) | −19.8617 | + | 1.03738i | −1.13542 | + | 0.0593033i | ||||
\(307\) | − | 6.32444i | − | 0.360955i | −0.983579 | − | 0.180477i | \(-0.942236\pi\) | ||
0.983579 | − | 0.180477i | \(-0.0577643\pi\) | |||||||
\(308\) | −9.64781 | − | 7.02784i | −0.549735 | − | 0.400448i | ||||
\(309\) | −22.5303 | − | 5.41115i | −1.28170 | − | 0.307829i | ||||
\(310\) | −4.99018 | −0.283423 | ||||||||
\(311\) | 11.2784 | + | 19.5347i | 0.639537 | + | 1.10771i | 0.985534 | + | 0.169475i | \(0.0542072\pi\) |
−0.345998 | + | 0.938235i | \(0.612459\pi\) | |||||||
\(312\) | −2.79393 | − | 2.65181i | −0.158175 | − | 0.150129i | ||||
\(313\) | 9.10717 | + | 5.25803i | 0.514768 | + | 0.297201i | 0.734791 | − | 0.678293i | \(-0.237280\pi\) |
−0.220024 | + | 0.975495i | \(0.570613\pi\) | |||||||
\(314\) | 15.7507 | 0.888862 | ||||||||
\(315\) | −0.426632 | + | 7.92578i | −0.0240380 | + | 0.446567i | ||||
\(316\) | 3.96124 | 0.222837 | ||||||||
\(317\) | 9.22254 | + | 5.32463i | 0.517989 | + | 0.299061i | 0.736112 | − | 0.676860i | \(-0.236660\pi\) |
−0.218122 | + | 0.975921i | \(0.569993\pi\) | |||||||
\(318\) | 8.98473 | − | 2.66053i | 0.503839 | − | 0.149195i | ||||
\(319\) | 2.81360 | + | 4.87330i | 0.157532 | + | 0.272853i | ||||
\(320\) | 1.00000 | 0.0559017 | ||||||||
\(321\) | 5.39997 | + | 18.2359i | 0.301397 | + | 1.01783i | ||||
\(322\) | 13.2133 | + | 1.40534i | 0.736348 | + | 0.0783164i | ||||
\(323\) | 51.3675i | 2.85816i | ||||||||
\(324\) | −3.66354 | + | 8.22061i | −0.203530 | + | 0.456701i | ||||
\(325\) | 1.92602 | + | 1.11199i | 0.106836 | + | 0.0616819i | ||||
\(326\) | 1.57811i | 0.0874033i | ||||||||
\(327\) | 19.4327 | + | 18.4442i | 1.07463 | + | 1.01997i | ||||
\(328\) | −7.46978 | − | 4.31268i | −0.412450 | − | 0.238128i | ||||
\(329\) | 13.3236 | + | 1.41707i | 0.734553 | + | 0.0781255i | ||||
\(330\) | 5.66761 | + | 5.37932i | 0.311992 | + | 0.296122i | ||||
\(331\) | 7.99412 | − | 13.8462i | 0.439397 | − | 0.761057i | −0.558246 | − | 0.829675i | \(-0.688526\pi\) |
0.997643 | + | 0.0686178i | \(0.0218589\pi\) | |||||||
\(332\) | −5.71593 | + | 9.90029i | −0.313703 | + | 0.543349i | ||||
\(333\) | 0.148690 | + | 2.84681i | 0.00814819 | + | 0.156004i | ||||
\(334\) | −7.98188 | + | 4.60834i | −0.436749 | + | 0.252157i | ||||
\(335\) | 2.76915 | + | 4.79631i | 0.151295 | + | 0.262051i | ||||
\(336\) | −1.53543 | + | 4.31769i | −0.0837646 | + | 0.235549i | ||||
\(337\) | 14.4075 | − | 24.9546i | 0.784829 | − | 1.35936i | −0.144273 | − | 0.989538i | \(-0.546084\pi\) |
0.929101 | − | 0.369825i | \(-0.120582\pi\) | |||||||
\(338\) | 8.05394i | 0.438077i | ||||||||
\(339\) | −4.09015 | + | 4.30935i | −0.222146 | + | 0.234052i | ||||
\(340\) | 6.62958 | 0.359539 | ||||||||
\(341\) | −11.2564 | − | 19.4967i | −0.609568 | − | 1.05580i | ||||
\(342\) | 20.7093 | + | 10.5565i | 1.11983 | + | 0.570832i | ||||
\(343\) | −17.5924 | − | 5.78855i | −0.949901 | − | 0.312552i | ||||
\(344\) | 8.43784 | − | 4.87159i | 0.454938 | − | 0.262659i | ||||
\(345\) | −8.45839 | − | 2.03147i | −0.455384 | − | 0.109371i | ||||
\(346\) | 2.19027 | − | 1.26455i | 0.117750 | − | 0.0679829i | ||||
\(347\) | 0.234637 | − | 0.135468i | 0.0125960 | − | 0.00727228i | −0.493689 | − | 0.869639i | \(-0.664352\pi\) |
0.506285 | + | 0.862366i | \(0.331018\pi\) | |||||||
\(348\) | 1.48728 | − | 1.56699i | 0.0797265 | − | 0.0839993i | ||||
\(349\) | −21.0924 | + | 12.1777i | −1.12905 | + | 0.651857i | −0.943696 | − | 0.330814i | \(-0.892677\pi\) |
−0.185354 | + | 0.982672i | \(0.559343\pi\) | |||||||
\(350\) | 0.279818 | − | 2.63091i | 0.0149569 | − | 0.140628i | ||||
\(351\) | −10.8943 | + | 3.85462i | −0.581494 | + | 0.205744i | ||||
\(352\) | 2.25571 | + | 3.90701i | 0.120230 | + | 0.208244i | ||||
\(353\) | 15.7449 | 0.838016 | 0.419008 | − | 0.907982i | \(-0.362378\pi\) | ||||
0.419008 | + | 0.907982i | \(0.362378\pi\) | |||||||
\(354\) | 5.51937 | + | 1.32560i | 0.293351 | + | 0.0704548i | ||||
\(355\) | 9.57979i | 0.508442i | ||||||||
\(356\) | −8.89050 | + | 15.3988i | −0.471196 | + | 0.816135i | ||||
\(357\) | −10.1793 | + | 28.6245i | −0.538743 | + | 1.51497i | ||||
\(358\) | 5.53559 | + | 9.58793i | 0.292565 | + | 0.506738i | ||||
\(359\) | −12.5256 | + | 7.23168i | −0.661078 | + | 0.381673i | −0.792688 | − | 0.609628i | \(-0.791319\pi\) |
0.131610 | + | 0.991302i | \(0.457985\pi\) | |||||||
\(360\) | 1.36244 | − | 2.67278i | 0.0718071 | − | 0.140868i | ||||
\(361\) | 20.5175 | − | 35.5374i | 1.07987 | − | 1.87039i | ||||
\(362\) | −8.82331 | + | 15.2824i | −0.463743 | + | 0.803226i | ||||
\(363\) | −3.78316 | + | 15.7519i | −0.198565 | + | 0.826759i | ||||
\(364\) | −5.37834 | + | 2.38660i | −0.281901 | + | 0.125092i | ||||
\(365\) | −1.11202 | − | 0.642023i | −0.0582056 | − | 0.0336050i | ||||
\(366\) | −18.9576 | + | 5.61367i | −0.990928 | + | 0.293431i | ||||
\(367\) | − | 32.5123i | − | 1.69713i | −0.529092 | − | 0.848565i | \(-0.677467\pi\) | ||
0.529092 | − | 0.848565i | \(-0.322533\pi\) | |||||||
\(368\) | −4.34946 | − | 2.51116i | −0.226731 | − | 0.130903i | ||||
\(369\) | −21.7040 | + | 14.0893i | −1.12986 | + | 0.733459i | ||||
\(370\) | − | 0.950231i | − | 0.0494002i | ||||||
\(371\) | 1.51381 | − | 14.2332i | 0.0785932 | − | 0.738951i | ||||
\(372\) | −5.95017 | + | 6.26906i | −0.308502 | + | 0.325035i | ||||
\(373\) | 9.14687 | 0.473607 | 0.236803 | − | 0.971558i | \(-0.423900\pi\) | ||||
0.236803 | + | 0.971558i | \(0.423900\pi\) | |||||||
\(374\) | 14.9544 | + | 25.9018i | 0.773275 | + | 1.33935i | ||||
\(375\) | −0.404488 | + | 1.68416i | −0.0208877 | + | 0.0869696i | ||||
\(376\) | −4.38576 | − | 2.53212i | −0.226178 | − | 0.130584i | ||||
\(377\) | 2.77401 | 0.142869 | ||||||||
\(378\) | 9.44829 | + | 9.98648i | 0.485968 | + | 0.513649i | ||||
\(379\) | −2.90816 | −0.149382 | −0.0746911 | − | 0.997207i | \(-0.523797\pi\) | ||||
−0.0746911 | + | 0.997207i | \(0.523797\pi\) | |||||||
\(380\) | −6.71016 | − | 3.87412i | −0.344224 | − | 0.198738i | ||||
\(381\) | −1.78799 | + | 7.44460i | −0.0916013 | + | 0.381398i | ||||
\(382\) | 4.62270 | + | 8.00675i | 0.236518 | + | 0.409661i | ||||
\(383\) | 3.17879 | 0.162428 | 0.0812142 | − | 0.996697i | \(-0.474120\pi\) | ||||
0.0812142 | + | 0.996697i | \(0.474120\pi\) | |||||||
\(384\) | 1.19238 | − | 1.25628i | 0.0608482 | − | 0.0641093i | ||||
\(385\) | 10.9102 | − | 4.84133i | 0.556035 | − | 0.246737i | ||||
\(386\) | − | 17.9771i | − | 0.915010i | ||||||
\(387\) | −1.52460 | − | 29.1898i | −0.0774996 | − | 1.48380i | ||||
\(388\) | −7.24779 | − | 4.18451i | −0.367951 | − | 0.212436i | ||||
\(389\) | − | 12.6645i | − | 0.642118i | −0.947059 | − | 0.321059i | \(-0.895961\pi\) | ||
0.947059 | − | 0.321059i | \(-0.104039\pi\) | |||||||
\(390\) | 3.69350 | − | 1.09371i | 0.187028 | − | 0.0553822i | ||||
\(391\) | −28.8351 | − | 16.6479i | −1.45825 | − | 0.841922i | ||||
\(392\) | 5.19038 | + | 4.69680i | 0.262154 | + | 0.237224i | ||||
\(393\) | −3.37520 | + | 14.0532i | −0.170256 | + | 0.708892i | ||||
\(394\) | 5.58896 | − | 9.68036i | 0.281568 | − | 0.487690i | ||||
\(395\) | −1.98062 | + | 3.43054i | −0.0996559 | + | 0.172609i | ||||
\(396\) | 13.5159 | − | 0.705940i | 0.679197 | − | 0.0354748i | ||||
\(397\) | −22.7136 | + | 13.1137i | −1.13996 | + | 0.658158i | −0.946421 | − | 0.322935i | \(-0.895331\pi\) |
−0.193541 | + | 0.981092i | \(0.561997\pi\) | |||||||
\(398\) | −1.51384 | − | 2.62204i | −0.0758817 | − | 0.131431i | ||||
\(399\) | 27.0302 | − | 23.0240i | 1.35320 | − | 1.15264i | ||||
\(400\) | −0.500000 | + | 0.866025i | −0.0250000 | + | 0.0433013i | ||||
\(401\) | − | 21.1817i | − | 1.05776i | −0.848696 | − | 0.528881i | \(-0.822612\pi\) | ||
0.848696 | − | 0.528881i | \(-0.177388\pi\) | |||||||
\(402\) | 9.32739 | + | 2.24018i | 0.465208 | + | 0.111730i | ||||
\(403\) | −11.0980 | −0.552832 | ||||||||
\(404\) | 5.81680 | + | 10.0750i | 0.289396 | + | 0.501249i | ||||
\(405\) | −5.28749 | − | 7.28302i | −0.262738 | − | 0.361896i | ||||
\(406\) | −1.33854 | − | 3.01646i | −0.0664304 | − | 0.149704i | ||||
\(407\) | 3.71256 | − | 2.14345i | 0.184025 | − | 0.106247i | ||||
\(408\) | 7.90495 | − | 8.32860i | 0.391353 | − | 0.412327i | ||||
\(409\) | 34.4207 | − | 19.8728i | 1.70199 | − | 0.982646i | 0.758250 | − | 0.651964i | \(-0.226055\pi\) |
0.943742 | − | 0.330682i | \(-0.107279\pi\) | |||||||
\(410\) | 7.46978 | − | 4.31268i | 0.368906 | − | 0.212988i | ||||
\(411\) | 19.3008 | + | 4.63552i | 0.952040 | + | 0.228654i | ||||
\(412\) | 11.5855 | − | 6.68888i | 0.570776 | − | 0.329538i | ||||
\(413\) | 5.10522 | − | 7.00844i | 0.251211 | − | 0.344863i | ||||
\(414\) | −12.6377 | + | 8.20383i | −0.621108 | + | 0.403196i | ||||
\(415\) | −5.71593 | − | 9.90029i | −0.280584 | − | 0.485986i | ||||
\(416\) | 2.22397 | 0.109039 | ||||||||
\(417\) | −4.07228 | + | 4.29053i | −0.199420 | + | 0.210108i | ||||
\(418\) | − | 34.9556i | − | 1.70973i | ||||||
\(419\) | 3.05865 | − | 5.29774i | 0.149425 | − | 0.258811i | −0.781590 | − | 0.623792i | \(-0.785591\pi\) |
0.931015 | + | 0.364981i | \(0.118924\pi\) | |||||||
\(420\) | −2.97151 | − | 3.48857i | −0.144995 | − | 0.170225i | ||||
\(421\) | −0.503271 | − | 0.871691i | −0.0245279 | − | 0.0424836i | 0.853501 | − | 0.521091i | \(-0.174475\pi\) |
−0.878029 | + | 0.478608i | \(0.841142\pi\) | |||||||
\(422\) | −15.5831 | + | 8.99690i | −0.758573 | + | 0.437962i | ||||
\(423\) | −12.7432 | + | 8.27230i | −0.619593 | + | 0.402213i | ||||
\(424\) | −2.70499 | + | 4.68518i | −0.131366 | + | 0.227533i | ||||
\(425\) | −3.31479 | + | 5.74138i | −0.160791 | + | 0.278498i | ||||
\(426\) | 12.0349 | + | 11.4227i | 0.583093 | + | 0.553432i | ||||
\(427\) | −3.19411 | + | 30.0317i | −0.154574 | + | 1.45334i | ||||
\(428\) | −9.50931 | − | 5.49020i | −0.459650 | − | 0.265379i | ||||
\(429\) | 12.6046 | + | 11.9635i | 0.608557 | + | 0.577601i | ||||
\(430\) | 9.74318i | 0.469858i | ||||||||
\(431\) | −17.6560 | − | 10.1937i | −0.850461 | − | 0.491014i | 0.0103455 | − | 0.999946i | \(-0.496707\pi\) |
−0.860806 | + | 0.508933i | \(0.830040\pi\) | |||||||
\(432\) | −1.73321 | − | 4.89857i | −0.0833892 | − | 0.235682i | ||||
\(433\) | 9.53648i | 0.458294i | 0.973392 | + | 0.229147i | \(0.0735937\pi\) | ||||
−0.973392 | + | 0.229147i | \(0.926406\pi\) | |||||||
\(434\) | 5.35509 | + | 12.0680i | 0.257053 | + | 0.579281i | ||||
\(435\) | 0.613411 | + | 2.07151i | 0.0294108 | + | 0.0993215i | ||||
\(436\) | −15.4684 | −0.740803 | ||||||||
\(437\) | 19.4571 | + | 33.7006i | 0.930757 | + | 1.61212i | ||||
\(438\) | −2.13250 | + | 0.631471i | −0.101895 | + | 0.0301728i | ||||
\(439\) | −18.8382 | − | 10.8763i | −0.899100 | − | 0.519096i | −0.0221920 | − | 0.999754i | \(-0.507065\pi\) |
−0.876908 | + | 0.480658i | \(0.840398\pi\) | |||||||
\(440\) | −4.51143 | −0.215074 | ||||||||
\(441\) | 19.6251 | − | 7.47362i | 0.934529 | − | 0.355887i | ||||
\(442\) | 14.7440 | 0.701300 | ||||||||
\(443\) | 10.2965 | + | 5.94470i | 0.489203 | + | 0.282441i | 0.724244 | − | 0.689544i | \(-0.242189\pi\) |
−0.235041 | + | 0.971985i | \(0.575522\pi\) | |||||||
\(444\) | −1.19376 | − | 1.13303i | −0.0566532 | − | 0.0537714i | ||||
\(445\) | −8.89050 | − | 15.3988i | −0.421450 | − | 0.729973i | ||||
\(446\) | 12.3278 | 0.583738 | ||||||||
\(447\) | −29.8857 | − | 7.17771i | −1.41354 | − | 0.339494i | ||||
\(448\) | −1.07313 | − | 2.41835i | −0.0507005 | − | 0.114256i | ||||
\(449\) | − | 17.0757i | − | 0.805853i | −0.915232 | − | 0.402926i | \(-0.867993\pi\) | ||
0.915232 | − | 0.402926i | \(-0.132007\pi\) | |||||||
\(450\) | 1.63347 | + | 2.51630i | 0.0770026 | + | 0.118620i | ||||
\(451\) | 33.6994 | + | 19.4563i | 1.58684 | + | 0.916163i | ||||
\(452\) | − | 3.43025i | − | 0.161345i | ||||||
\(453\) | 0.567050 | − | 2.36101i | 0.0266423 | − | 0.110930i | ||||
\(454\) | −10.5640 | − | 6.09913i | −0.495793 | − | 0.286246i | ||||
\(455\) | 0.622308 | − | 5.85108i | 0.0291743 | − | 0.274303i | ||||
\(456\) | −12.8680 | + | 3.81044i | −0.602600 | + | 0.178440i | ||||
\(457\) | 1.32533 | − | 2.29554i | 0.0619964 | − | 0.107381i | −0.833361 | − | 0.552729i | \(-0.813587\pi\) |
0.895358 | + | 0.445348i | \(0.146920\pi\) | |||||||
\(458\) | 6.11591 | − | 10.5931i | 0.285778 | − | 0.494982i | ||||
\(459\) | −11.4905 | − | 32.4754i | −0.536329 | − | 1.51582i | ||||
\(460\) | 4.34946 | − | 2.51116i | 0.202795 | − | 0.117084i | ||||
\(461\) | −20.7077 | − | 35.8668i | −0.964453 | − | 1.67048i | −0.711077 | − | 0.703114i | \(-0.751792\pi\) |
−0.253376 | − | 0.967368i | \(-0.581541\pi\) | |||||||
\(462\) | 6.92698 | − | 19.4789i | 0.322272 | − | 0.906242i | ||||
\(463\) | 1.81970 | − | 3.15182i | 0.0845687 | − | 0.146477i | −0.820639 | − | 0.571447i | \(-0.806382\pi\) |
0.905207 | + | 0.424970i | \(0.139715\pi\) | |||||||
\(464\) | 1.24732i | 0.0579055i | ||||||||
\(465\) | −2.45408 | − | 8.28752i | −0.113805 | − | 0.384325i | ||||
\(466\) | 0.698218 | 0.0323443 | ||||||||
\(467\) | 16.1293 | + | 27.9368i | 0.746375 | + | 1.29276i | 0.949549 | + | 0.313617i | \(0.101541\pi\) |
−0.203174 | + | 0.979143i | \(0.565126\pi\) | |||||||
\(468\) | 3.03004 | − | 5.94419i | 0.140064 | − | 0.274770i | ||||
\(469\) | 8.62750 | − | 11.8438i | 0.398381 | − | 0.546897i | ||||
\(470\) | 4.38576 | − | 2.53212i | 0.202300 | − | 0.116798i | ||||
\(471\) | 7.74590 | + | 26.1582i | 0.356912 | + | 1.20531i | ||||
\(472\) | −2.83816 | + | 1.63861i | −0.130637 | + | 0.0754233i | ||||
\(473\) | −38.0667 | + | 21.9778i | −1.75031 | + | 1.01054i | ||||
\(474\) | 1.94807 | + | 6.57871i | 0.0894778 | + | 0.302170i | ||||
\(475\) | 6.71016 | − | 3.87412i | 0.307883 | − | 0.177757i | ||||
\(476\) | −7.11437 | − | 16.0326i | −0.326087 | − | 0.734854i | ||||
\(477\) | 8.83706 | + | 13.6131i | 0.404621 | + | 0.623303i | ||||
\(478\) | 2.75332 | + | 4.76888i | 0.125934 | + | 0.218124i | ||||
\(479\) | 5.07687 | 0.231968 | 0.115984 | − | 0.993251i | \(-0.462998\pi\) | ||||
0.115984 | + | 0.993251i | \(0.462998\pi\) | |||||||
\(480\) | 0.491782 | + | 1.66077i | 0.0224467 | + | 0.0758033i | ||||
\(481\) | − | 2.11329i | − | 0.0963576i | ||||||
\(482\) | 8.83660 | − | 15.3054i | 0.402496 | − | 0.697144i | ||||
\(483\) | 4.16412 | + | 22.6353i | 0.189474 | + | 1.02994i | ||||
\(484\) | −4.67648 | − | 8.09991i | −0.212567 | − | 0.368178i | ||||
\(485\) | 7.24779 | − | 4.18451i | 0.329105 | − | 0.190009i | ||||
\(486\) | −15.4542 | − | 2.04153i | −0.701017 | − | 0.0926058i | ||||
\(487\) | 8.78880 | − | 15.2226i | 0.398259 | − | 0.689804i | −0.595253 | − | 0.803539i | \(-0.702948\pi\) |
0.993511 | + | 0.113735i | \(0.0362814\pi\) | |||||||
\(488\) | 5.70747 | − | 9.88563i | 0.258365 | − | 0.447501i | ||||
\(489\) | −2.62087 | + | 0.776085i | −0.118520 | + | 0.0350958i | ||||
\(490\) | −6.66274 | + | 2.14660i | −0.300992 | + | 0.0969737i | ||||
\(491\) | −27.2873 | − | 15.7543i | −1.23146 | − | 0.710984i | −0.264126 | − | 0.964488i | \(-0.585083\pi\) |
−0.967334 | + | 0.253504i | \(0.918417\pi\) | |||||||
\(492\) | 3.48885 | − | 14.5265i | 0.157290 | − | 0.654904i | ||||
\(493\) | 8.26922i | 0.372427i | ||||||||
\(494\) | −14.9232 | − | 8.61593i | −0.671428 | − | 0.387649i | ||||
\(495\) | −6.14657 | + | 12.0580i | −0.276268 | + | 0.541969i | ||||
\(496\) | − | 4.99018i | − | 0.224065i | ||||||
\(497\) | 23.1673 | − | 10.2803i | 1.03919 | − | 0.461136i | ||||
\(498\) | −19.2531 | − | 4.62405i | −0.862751 | − | 0.207209i | ||||
\(499\) | −34.1844 | −1.53030 | −0.765151 | − | 0.643851i | \(-0.777336\pi\) | ||||
−0.765151 | + | 0.643851i | \(0.777336\pi\) | |||||||
\(500\) | −0.500000 | − | 0.866025i | −0.0223607 | − | 0.0387298i | ||||
\(501\) | −11.5787 | − | 10.9897i | −0.517299 | − | 0.490986i | ||||
\(502\) | −24.1578 | − | 13.9475i | −1.07822 | − | 0.622508i | ||||
\(503\) | −1.51617 | −0.0676028 | −0.0338014 | − | 0.999429i | \(-0.510761\pi\) | ||||
−0.0338014 | + | 0.999429i | \(0.510761\pi\) | |||||||
\(504\) | −7.92578 | − | 0.426632i | −0.353042 | − | 0.0190037i | ||||
\(505\) | −11.6336 | −0.517688 | ||||||||
\(506\) | 19.6223 | + | 11.3289i | 0.872316 | + | 0.503632i | ||||
\(507\) | −13.3757 | + | 3.96079i | −0.594037 | + | 0.175905i | ||||
\(508\) | −2.21018 | − | 3.82815i | −0.0980610 | − | 0.169847i | ||||
\(509\) | 8.51321 | 0.377341 | 0.188671 | − | 0.982040i | \(-0.439582\pi\) | ||||
0.188671 | + | 0.982040i | \(0.439582\pi\) | |||||||
\(510\) | 3.26031 | + | 11.0102i | 0.144369 | + | 0.487539i | ||||
\(511\) | −0.359299 | + | 3.37821i | −0.0158945 | + | 0.149443i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | −7.34748 | + | 39.5849i | −0.324399 | + | 1.74771i | ||||
\(514\) | −12.2549 | − | 7.07539i | −0.540542 | − | 0.312082i | ||||
\(515\) | 13.3778i | 0.589495i | ||||||||
\(516\) | 12.2402 | + | 11.6175i | 0.538843 | + | 0.511434i | ||||
\(517\) | 19.7860 | + | 11.4235i | 0.870189 | + | 0.502404i | ||||
\(518\) | −2.29799 | + | 1.01972i | −0.100968 | + | 0.0448038i | ||||
\(519\) | 3.17727 | + | 3.01565i | 0.139467 | + | 0.132372i | ||||
\(520\) | −1.11199 | + | 1.92602i | −0.0487638 | + | 0.0844614i | ||||
\(521\) | 2.86246 | − | 4.95792i | 0.125407 | − | 0.217210i | −0.796485 | − | 0.604658i | \(-0.793310\pi\) |
0.921892 | + | 0.387447i | \(0.126643\pi\) | |||||||
\(522\) | 3.33382 | + | 1.69941i | 0.145917 | + | 0.0743811i | ||||
\(523\) | 25.1415 | − | 14.5154i | 1.09936 | − | 0.634716i | 0.163308 | − | 0.986575i | \(-0.447784\pi\) |
0.936053 | + | 0.351859i | \(0.114450\pi\) | |||||||
\(524\) | −4.17218 | − | 7.22644i | −0.182263 | − | 0.315688i | ||||
\(525\) | 4.50695 | − | 0.829123i | 0.196699 | − | 0.0361859i | ||||
\(526\) | −15.3940 | + | 26.6631i | −0.671208 | + | 1.16257i | ||||
\(527\) | − | 33.0827i | − | 1.44111i | ||||||
\(528\) | −5.37932 | + | 5.66761i | −0.234105 | + | 0.246651i | ||||
\(529\) | −2.22373 | −0.0966840 | ||||||||
\(530\) | −2.70499 | − | 4.68518i | −0.117497 | − | 0.203511i | ||||
\(531\) | 0.512814 | + | 9.81829i | 0.0222543 | + | 0.426078i | ||||
\(532\) | −2.16810 | + | 20.3849i | −0.0939989 | + | 0.883798i | ||||
\(533\) | 16.6126 | − | 9.59128i | 0.719571 | − | 0.415445i | ||||
\(534\) | −29.9460 | − | 7.19221i | −1.29589 | − | 0.311237i | ||||
\(535\) | 9.50931 | − | 5.49020i | 0.411123 | − | 0.237362i | ||||
\(536\) | −4.79631 | + | 2.76915i | −0.207169 | + | 0.119609i | ||||
\(537\) | −13.2010 | + | 13.9085i | −0.569666 | + | 0.600196i | ||||
\(538\) | −0.471711 | + | 0.272342i | −0.0203369 | + | 0.0117415i | ||||
\(539\) | −23.4160 | − | 21.1893i | −1.00860 | − | 0.912686i | ||||
\(540\) | 5.10889 | + | 0.948278i | 0.219852 | + | 0.0408074i | ||||
\(541\) | 16.2086 | + | 28.0741i | 0.696863 | + | 1.20700i | 0.969549 | + | 0.244899i | \(0.0787547\pi\) |
−0.272686 | + | 0.962103i | \(0.587912\pi\) | |||||||
\(542\) | −20.7119 | −0.889653 | ||||||||
\(543\) | −29.7197 | − | 7.13784i | −1.27539 | − | 0.306314i | ||||
\(544\) | 6.62958i | 0.284241i | ||||||||
\(545\) | 7.73421 | − | 13.3960i | 0.331297 | − | 0.573823i | ||||
\(546\) | −6.60857 | − | 7.75848i | −0.282821 | − | 0.332032i | ||||
\(547\) | −14.7077 | − | 25.4744i | −0.628855 | − | 1.08921i | −0.987782 | − | 0.155843i | \(-0.950191\pi\) |
0.358927 | − | 0.933366i | \(-0.383143\pi\) | |||||||
\(548\) | −9.92484 | + | 5.73011i | −0.423968 | + | 0.244778i | ||||
\(549\) | −18.6460 | − | 28.7234i | −0.795791 | − | 1.22589i | ||||
\(550\) | 2.25571 | − | 3.90701i | 0.0961839 | − | 0.166595i | ||||
\(551\) | 4.83227 | − | 8.36975i | 0.205862 | − | 0.356563i | ||||
\(552\) | 2.03147 | − | 8.45839i | 0.0864651 | − | 0.360013i | ||||
\(553\) | 10.4217 | + | 1.10843i | 0.443175 | + | 0.0471352i | ||||
\(554\) | 15.1476 | + | 8.74547i | 0.643560 | + | 0.371559i | ||||
\(555\) | 1.57811 | − | 0.467307i | 0.0669872 | − | 0.0198361i | ||||
\(556\) | − | 3.41526i | − | 0.144839i | ||||||
\(557\) | 0.913577 | + | 0.527454i | 0.0387095 | + | 0.0223489i | 0.519230 | − | 0.854635i | \(-0.326219\pi\) |
−0.480520 | + | 0.876984i | \(0.659552\pi\) | |||||||
\(558\) | −13.3376 | − | 6.79883i | −0.564627 | − | 0.287818i | ||||
\(559\) | 21.6686i | 0.916483i | ||||||||
\(560\) | 2.63091 | + | 0.279818i | 0.111176 | + | 0.0118245i | ||||
\(561\) | −35.6626 | + | 37.5739i | −1.50568 | + | 1.58637i | ||||
\(562\) | −18.2699 | −0.770670 | ||||||||
\(563\) | −7.23900 | − | 12.5383i | −0.305088 | − | 0.528427i | 0.672193 | − | 0.740376i | \(-0.265352\pi\) |
−0.977281 | + | 0.211949i | \(0.932019\pi\) | |||||||
\(564\) | 2.04843 | − | 8.52898i | 0.0862543 | − | 0.359135i | ||||
\(565\) | 2.97068 | + | 1.71512i | 0.124978 | + | 0.0721558i | ||||
\(566\) | −9.21175 | −0.387199 | ||||||||
\(567\) | −11.9387 | + | 20.6026i | −0.501379 | + | 0.865228i | ||||
\(568\) | −9.57979 | −0.401959 | ||||||||
\(569\) | −9.68190 | − | 5.58985i | −0.405886 | − | 0.234339i | 0.283134 | − | 0.959080i | \(-0.408626\pi\) |
−0.689021 | + | 0.724742i | \(0.741959\pi\) | |||||||
\(570\) | 3.13407 | − | 13.0492i | 0.131272 | − | 0.546573i | ||||
\(571\) | 21.8476 | + | 37.8411i | 0.914292 | + | 1.58360i | 0.807934 | + | 0.589273i | \(0.200586\pi\) |
0.106358 | + | 0.994328i | \(0.466081\pi\) | |||||||
\(572\) | −10.0333 | −0.419513 | ||||||||
\(573\) | −11.0240 | + | 11.6148i | −0.460534 | + | 0.485215i | ||||
\(574\) | −18.4456 | − | 13.4365i | −0.769903 | − | 0.560827i | ||||
\(575\) | 5.02232i | 0.209445i | ||||||||
\(576\) | 2.67278 | + | 1.36244i | 0.111366 | + | 0.0567685i | ||||
\(577\) | −16.6011 | − | 9.58466i | −0.691114 | − | 0.399015i | 0.112915 | − | 0.993605i | \(-0.463981\pi\) |
−0.804029 | + | 0.594590i | \(0.797314\pi\) | |||||||
\(578\) | 26.9513i | 1.12103i | ||||||||
\(579\) | 29.8558 | − | 8.84081i | 1.24076 | − | 0.367412i | ||||
\(580\) | −1.08021 | − | 0.623662i | −0.0448534 | − | 0.0258961i | ||||
\(581\) | −17.8084 | + | 24.4474i | −0.738817 | + | 1.01425i | ||||
\(582\) | 3.38517 | − | 14.0948i | 0.140320 | − | 0.584247i | ||||
\(583\) | 12.2034 | − | 21.1369i | 0.505412 | − | 0.875399i | ||||
\(584\) | 0.642023 | − | 1.11202i | 0.0265671 | − | 0.0460155i | ||||
\(585\) | 3.63280 | + | 5.59618i | 0.150198 | + | 0.231374i | ||||
\(586\) | −10.8180 | + | 6.24576i | −0.446886 | + | 0.258010i | ||||
\(587\) | 0.776536 | + | 1.34500i | 0.0320511 | + | 0.0555141i | 0.881606 | − | 0.471986i | \(-0.156463\pi\) |
−0.849555 | + | 0.527500i | \(0.823129\pi\) | |||||||
\(588\) | −5.24775 | + | 10.9298i | −0.216414 | + | 0.450738i | ||||
\(589\) | −19.3325 | + | 33.4849i | −0.796582 | + | 1.37972i | ||||
\(590\) | − | 3.27723i | − | 0.134921i | ||||||
\(591\) | 18.8254 | + | 4.52134i | 0.774373 | + | 0.185983i | ||||
\(592\) | 0.950231 | 0.0390543 | ||||||||
\(593\) | −5.43117 | − | 9.40706i | −0.223031 | − | 0.386302i | 0.732696 | − | 0.680556i | \(-0.238262\pi\) |
−0.955727 | + | 0.294255i | \(0.904929\pi\) | |||||||
\(594\) | 7.81926 | + | 22.0995i | 0.320828 | + | 0.906755i | ||||
\(595\) | 17.4418 | + | 1.85508i | 0.715046 | + | 0.0760507i | ||||
\(596\) | 15.3678 | − | 8.87258i | 0.629488 | − | 0.363435i | ||||
\(597\) | 3.61012 | − | 3.80360i | 0.147753 | − | 0.155671i | ||||
\(598\) | 9.67308 | − | 5.58476i | 0.395562 | − | 0.228378i | ||||
\(599\) | −7.28369 | + | 4.20524i | −0.297603 | + | 0.171821i | −0.641366 | − | 0.767235i | \(-0.721632\pi\) |
0.343762 | + | 0.939057i | \(0.388299\pi\) | |||||||
\(600\) | −1.68416 | − | 0.404488i | −0.0687555 | − | 0.0165132i | ||||
\(601\) | −11.4553 | + | 6.61375i | −0.467273 | + | 0.269780i | −0.715098 | − | 0.699025i | \(-0.753618\pi\) |
0.247824 | + | 0.968805i | \(0.420284\pi\) | |||||||
\(602\) | 23.5624 | − | 10.4557i | 0.960331 | − | 0.426141i | ||||
\(603\) | 0.866624 | + | 16.5923i | 0.0352917 | + | 0.675691i | ||||
\(604\) | 0.700947 | + | 1.21408i | 0.0285211 | + | 0.0494001i | ||||
\(605\) | 9.35297 | 0.380252 | ||||||||
\(606\) | −13.8716 | + | 14.6150i | −0.563496 | + | 0.593696i | ||||
\(607\) | − | 12.6296i | − | 0.512620i | −0.966595 | − | 0.256310i | \(-0.917493\pi\) | ||
0.966595 | − | 0.256310i | \(-0.0825067\pi\) | |||||||
\(608\) | 3.87412 | − | 6.71016i | 0.157116 | − | 0.272133i | ||||
\(609\) | 4.35137 | − | 3.70644i | 0.176326 | − | 0.150192i | ||||
\(610\) | 5.70747 | + | 9.88563i | 0.231089 | + | 0.400257i | ||||
\(611\) | 9.75381 | − | 5.63137i | 0.394597 | − | 0.227821i | ||||
\(612\) | 17.7194 | + | 9.03243i | 0.716264 | + | 0.365114i | ||||
\(613\) | −8.47611 | + | 14.6811i | −0.342347 | + | 0.592962i | −0.984868 | − | 0.173306i | \(-0.944555\pi\) |
0.642521 | + | 0.766268i | \(0.277889\pi\) | |||||||
\(614\) | −3.16222 | + | 5.47713i | −0.127617 | + | 0.221039i | ||||
\(615\) | 10.8359 | + | 10.2847i | 0.436944 | + | 0.414718i | ||||
\(616\) | 4.84133 | + | 10.9102i | 0.195063 | + | 0.439584i | ||||
\(617\) | 26.1121 | + | 15.0759i | 1.05124 | + | 0.606931i | 0.922995 | − | 0.384812i | \(-0.125734\pi\) |
0.128240 | + | 0.991743i | \(0.459067\pi\) | |||||||
\(618\) | 16.8062 | + | 15.9513i | 0.676045 | + | 0.641657i | ||||
\(619\) | − | 30.5258i | − | 1.22694i | −0.789720 | − | 0.613468i | \(-0.789774\pi\) | ||
0.789720 | − | 0.613468i | \(-0.210226\pi\) | |||||||
\(620\) | 4.32162 | + | 2.49509i | 0.173560 | + | 0.100205i | ||||
\(621\) | −19.8396 | − | 16.9537i | −0.796137 | − | 0.680331i | ||||
\(622\) | − | 22.5567i | − | 0.904442i | ||||||
\(623\) | −27.6990 | + | 38.0252i | −1.10974 | + | 1.52345i | ||||
\(624\) | 1.09371 | + | 3.69350i | 0.0437835 | + | 0.147858i | ||||
\(625\) | 1.00000 | 0.0400000 | ||||||||
\(626\) | −5.25803 | − | 9.10717i | −0.210153 | − | 0.363996i | ||||
\(627\) | 58.0531 | − | 17.1905i | 2.31842 | − | 0.686524i | ||||
\(628\) | −13.6405 | − | 7.87534i | −0.544314 | − | 0.314260i | ||||
\(629\) | 6.29963 | 0.251183 | ||||||||
\(630\) | 4.33236 | − | 6.65061i | 0.172606 | − | 0.264967i | ||||
\(631\) | −23.7873 | −0.946959 | −0.473480 | − | 0.880805i | \(-0.657002\pi\) | ||||
−0.473480 | + | 0.880805i | \(0.657002\pi\) | |||||||
\(632\) | −3.43054 | − | 1.98062i | −0.136459 | − | 0.0787849i | ||||
\(633\) | −22.6052 | − | 21.4554i | −0.898478 | − | 0.852775i | ||||
\(634\) | −5.32463 | − | 9.22254i | −0.211468 | − | 0.366274i | ||||
\(635\) | 4.42037 | 0.175417 | ||||||||
\(636\) | −9.11127 | − | 2.18827i | −0.361285 | − | 0.0867707i | ||||
\(637\) | −14.8178 | + | 4.77399i | −0.587101 | + | 0.189152i | ||||
\(638\) | − | 5.62721i | − | 0.222783i | ||||||
\(639\) | −13.0519 | + | 25.6047i | −0.516326 | + | 1.01290i | ||||
\(640\) | −0.866025 | − | 0.500000i | −0.0342327 | − | 0.0197642i | ||||
\(641\) | − | 5.84348i | − | 0.230804i | −0.993319 | − | 0.115402i | \(-0.963184\pi\) | ||
0.993319 | − | 0.115402i | \(-0.0368156\pi\) | |||||||
\(642\) | 4.44144 | − | 18.4927i | 0.175290 | − | 0.729850i | ||||
\(643\) | −0.948093 | − | 0.547382i | −0.0373891 | − | 0.0215866i | 0.481189 | − | 0.876617i | \(-0.340205\pi\) |
−0.518578 | + | 0.855030i | \(0.673538\pi\) | |||||||
\(644\) | −10.7404 | − | 7.82371i | −0.423230 | − | 0.308297i | ||||
\(645\) | −16.1812 | + | 4.79152i | −0.637133 | + | 0.188666i | ||||
\(646\) | 25.6837 | − | 44.4855i | 1.01051 | − | 1.75026i | ||||
\(647\) | 1.97694 | − | 3.42416i | 0.0777216 | − | 0.134618i | −0.824545 | − | 0.565796i | \(-0.808569\pi\) |
0.902267 | + | 0.431179i | \(0.141902\pi\) | |||||||
\(648\) | 7.28302 | − | 5.28749i | 0.286104 | − | 0.207712i | ||||
\(649\) | 12.8042 | − | 7.39248i | 0.502607 | − | 0.290180i | ||||
\(650\) | −1.11199 | − | 1.92602i | −0.0436157 | − | 0.0755446i | ||||
\(651\) | −17.4086 | + | 14.8284i | −0.682295 | + | 0.581170i | ||||
\(652\) | 0.789054 | − | 1.36668i | 0.0309017 | − | 0.0535234i | ||||
\(653\) | 1.45438i | 0.0569143i | 0.999595 | + | 0.0284572i | \(0.00905942\pi\) | ||||
−0.999595 | + | 0.0284572i | \(0.990941\pi\) | |||||||
\(654\) | −7.60709 | − | 25.6895i | −0.297461 | − | 1.00454i | ||||
\(655\) | 8.34437 | 0.326041 | ||||||||
\(656\) | 4.31268 | + | 7.46978i | 0.168382 | + | 0.291646i | ||||
\(657\) | −2.09745 | − | 3.23104i | −0.0818294 | − | 0.126055i | ||||
\(658\) | −10.8300 | − | 7.88900i | −0.422198 | − | 0.307545i | ||||
\(659\) | 4.32410 | − | 2.49652i | 0.168443 | − | 0.0972507i | −0.413408 | − | 0.910546i | \(-0.635662\pi\) |
0.581852 | + | 0.813295i | \(0.302328\pi\) | |||||||
\(660\) | −2.21864 | − | 7.49243i | −0.0863604 | − | 0.291643i | ||||
\(661\) | 33.4204 | − | 19.2953i | 1.29990 | − | 0.750500i | 0.319517 | − | 0.947581i | \(-0.396479\pi\) |
0.980387 | + | 0.197081i | \(0.0631461\pi\) | |||||||
\(662\) | −13.8462 | + | 7.99412i | −0.538149 | + | 0.310700i | ||||
\(663\) | 7.25084 | + | 24.4864i | 0.281599 | + | 0.950971i | ||||
\(664\) | 9.90029 | − | 5.71593i | 0.384206 | − | 0.221821i | ||||
\(665\) | −16.5698 | − | 12.0701i | −0.642550 | − | 0.468058i | ||||
\(666\) | 1.29464 | − | 2.53976i | 0.0501661 | − | 0.0984136i | ||||
\(667\) | 3.13223 | + | 5.42518i | 0.121280 | + | 0.210064i | ||||
\(668\) | 9.21668 | 0.356604 | ||||||||
\(669\) | 6.06259 | + | 20.4736i | 0.234393 | + | 0.791556i | ||||
\(670\) | − | 5.53831i | − | 0.213963i | ||||||
\(671\) | −25.7488 | + | 44.5983i | −0.994023 | + | 1.72170i | ||||
\(672\) | 3.48857 | − | 2.97151i | 0.134574 | − | 0.114629i | ||||
\(673\) | 5.87005 | + | 10.1672i | 0.226274 | + | 0.391918i | 0.956701 | − | 0.291073i | \(-0.0940122\pi\) |
−0.730427 | + | 0.682991i | \(0.760679\pi\) | |||||||
\(674\) | −24.9546 | + | 14.4075i | −0.961215 | + | 0.554958i | ||||
\(675\) | −3.37568 | + | 3.95029i | −0.129930 | + | 0.152047i | ||||
\(676\) | 4.02697 | − | 6.97492i | 0.154884 | − | 0.268266i | ||||
\(677\) | −14.5939 | + | 25.2774i | −0.560889 | + | 0.971489i | 0.436530 | + | 0.899690i | \(0.356207\pi\) |
−0.997419 | + | 0.0717989i | \(0.977126\pi\) | |||||||
\(678\) | 5.69685 | − | 1.68694i | 0.218786 | − | 0.0647864i | ||||
\(679\) | −17.8974 | − | 13.0372i | −0.686839 | − | 0.500320i | ||||
\(680\) | −5.74138 | − | 3.31479i | −0.220172 | − | 0.127116i | ||||
\(681\) | 4.93405 | − | 20.5438i | 0.189073 | − | 0.787240i | ||||
\(682\) | 22.5128i | 0.862060i | ||||||||
\(683\) | −5.36086 | − | 3.09509i | −0.205128 | − | 0.118431i | 0.393917 | − | 0.919146i | \(-0.371120\pi\) |
−0.599045 | + | 0.800715i | \(0.704453\pi\) | |||||||
\(684\) | −12.6565 | − | 19.4969i | −0.483934 | − | 0.745482i | ||||
\(685\) | − | 11.4602i | − | 0.437873i | ||||||
\(686\) | 12.3412 | + | 13.8092i | 0.471189 | + | 0.527239i | ||||
\(687\) | 20.6003 | + | 4.94763i | 0.785952 | + | 0.188764i | ||||
\(688\) | −9.74318 | −0.371455 | ||||||||
\(689\) | −6.01583 | − | 10.4197i | −0.229185 | − | 0.396960i | ||||
\(690\) | 6.30944 | + | 5.98850i | 0.240196 | + | 0.227978i | ||||
\(691\) | −25.0338 | − | 14.4533i | −0.952332 | − | 0.549829i | −0.0585274 | − | 0.998286i | \(-0.518641\pi\) |
−0.893805 | + | 0.448457i | \(0.851974\pi\) | |||||||
\(692\) | −2.52911 | −0.0961423 | ||||||||
\(693\) | 35.7566 | + | 1.92472i | 1.35828 | + | 0.0731140i | ||||
\(694\) | −0.270935 | −0.0102846 | ||||||||
\(695\) | 2.95770 | + | 1.70763i | 0.112192 | + | 0.0647741i | ||||
\(696\) | −2.07151 | + | 0.613411i | −0.0785206 | + | 0.0232513i | ||||
\(697\) | 28.5912 | + | 49.5215i | 1.08297 | + | 1.87576i | ||||
\(698\) | 24.3554 | 0.921866 | ||||||||
\(699\) | 0.343371 | + | 1.15958i | 0.0129875 | + | 0.0438593i | ||||
\(700\) | −1.55779 | + | 2.13853i | −0.0588788 | + | 0.0808288i | ||||
\(701\) | 15.3891i | 0.581238i | 0.956839 | + | 0.290619i | \(0.0938612\pi\) | ||||
−0.956839 | + | 0.290619i | \(0.906139\pi\) | |||||||
\(702\) | 11.3620 | + | 2.10895i | 0.428832 | + | 0.0795970i | ||||
\(703\) | −6.37621 | − | 3.68130i | −0.240483 | − | 0.138843i | ||||
\(704\) | − | 4.51143i | − | 0.170031i | ||||||
\(705\) | 6.36210 | + | 6.03848i | 0.239611 | + | 0.227422i | ||||
\(706\) | −13.6355 | − | 7.87245i | −0.513178 | − | 0.296283i | ||||
\(707\) | 12.4843 | + | 28.1341i | 0.469521 | + | 1.05809i | ||||
\(708\) | −4.11711 | − | 3.90769i | −0.154731 | − | 0.146860i | ||||
\(709\) | −23.2331 | + | 40.2409i | −0.872538 | + | 1.51128i | −0.0131753 | + | 0.999913i | \(0.504194\pi\) |
−0.859363 | + | 0.511367i | \(0.829139\pi\) | |||||||
\(710\) | 4.78989 | − | 8.29634i | 0.179762 | − | 0.311356i | ||||
\(711\) | −9.96768 | + | 6.47058i | −0.373817 | + | 0.242666i | ||||
\(712\) | 15.3988 | − | 8.89050i | 0.577095 | − | 0.333186i | ||||
\(713\) | −12.5311 | − | 21.7046i | −0.469295 | − | 0.812842i | ||||
\(714\) | 23.1277 | − | 19.6999i | 0.865533 | − | 0.737249i | ||||
\(715\) | 5.01664 | − | 8.68908i | 0.187612 | − | 0.324953i | ||||
\(716\) | − | 11.0712i | − | 0.413750i | ||||||
\(717\) | −6.56598 | + | 6.91787i | −0.245211 | + | 0.258353i | ||||
\(718\) | 14.4634 | 0.539768 | ||||||||
\(719\) | 2.95350 | + | 5.11561i | 0.110147 | + | 0.190780i | 0.915829 | − | 0.401568i | \(-0.131535\pi\) |
−0.805682 | + | 0.592348i | \(0.798201\pi\) | |||||||
\(720\) | −2.51630 | + | 1.63347i | −0.0937770 | + | 0.0608759i | ||||
\(721\) | 32.3521 | − | 14.3560i | 1.20485 | − | 0.534647i | ||||
\(722\) | −35.5374 | + | 20.5175i | −1.32257 | + | 0.763584i | ||||
\(723\) | 29.7645 | + | 7.14860i | 1.10695 | + | 0.265859i | ||||
\(724\) | 15.2824 | − | 8.82331i | 0.567966 | − | 0.327916i | ||||
\(725\) | 1.08021 | − | 0.623662i | 0.0401181 | − | 0.0231622i | ||||
\(726\) | 11.1523 | − | 11.7499i | 0.413899 | − | 0.436081i | ||||
\(727\) | −4.73351 | + | 2.73289i | −0.175556 | + | 0.101357i | −0.585203 | − | 0.810887i | \(-0.698985\pi\) |
0.409647 | + | 0.912244i | \(0.365652\pi\) | |||||||
\(728\) | 5.85108 | + | 0.622308i | 0.216855 | + | 0.0230643i | ||||
\(729\) | −4.20959 | − | 26.6698i | −0.155911 | − | 0.987771i | ||||
\(730\) | 0.642023 | + | 1.11202i | 0.0237623 | + | 0.0411575i | ||||
\(731\) | −64.5932 | −2.38906 | ||||||||
\(732\) | 19.2246 | + | 4.61721i | 0.710561 | + | 0.170657i | ||||
\(733\) | − | 24.0912i | − | 0.889830i | −0.895573 | − | 0.444915i | \(-0.853234\pi\) | ||
0.895573 | − | 0.444915i | \(-0.146766\pi\) | |||||||
\(734\) | −16.2562 | + | 28.1565i | −0.600026 | + | 1.03928i | ||||
\(735\) | −6.84163 | − | 10.0096i | −0.252357 | − | 0.369210i | ||||
\(736\) | 2.51116 | + | 4.34946i | 0.0925626 | + | 0.160323i | ||||
\(737\) | 21.6382 | − | 12.4928i | 0.797054 | − | 0.460179i | ||||
\(738\) | 25.8409 | − | 1.34968i | 0.951215 | − | 0.0496824i | ||||
\(739\) | −17.2995 | + | 29.9636i | −0.636373 | + | 1.10223i | 0.349850 | + | 0.936806i | \(0.386233\pi\) |
−0.986223 | + | 0.165424i | \(0.947101\pi\) | |||||||
\(740\) | −0.475116 | + | 0.822924i | −0.0174656 | + | 0.0302513i | ||||
\(741\) | 6.97008 | − | 29.0212i | 0.256052 | − | 1.06612i | ||||
\(742\) | −8.42760 | + | 11.5694i | −0.309387 | + | 0.424726i | ||||
\(743\) | −7.07661 | − | 4.08568i | −0.259616 | − | 0.149889i | 0.364544 | − | 0.931186i | \(-0.381225\pi\) |
−0.624159 | + | 0.781297i | \(0.714558\pi\) | |||||||
\(744\) | 8.28752 | − | 2.45408i | 0.303835 | − | 0.0899709i | ||||
\(745\) | 17.7452i | 0.650133i | ||||||||
\(746\) | −7.92142 | − | 4.57343i | −0.290024 | − | 0.167445i | ||||
\(747\) | −1.78884 | − | 34.2489i | −0.0654502 | − | 1.25310i | ||||
\(748\) | − | 29.9088i | − | 1.09358i | ||||||
\(749\) | −23.4819 | − | 17.1051i | −0.858010 | − | 0.625008i | ||||
\(750\) | 1.19238 | − | 1.25628i | 0.0435394 | − | 0.0458729i | ||||
\(751\) | 41.8027 | 1.52540 | 0.762702 | − | 0.646750i | \(-0.223872\pi\) | ||||
0.762702 | + | 0.646750i | \(0.223872\pi\) | |||||||
\(752\) | 2.53212 | + | 4.38576i | 0.0923369 | + | 0.159932i | ||||
\(753\) | 11.2832 | − | 46.9796i | 0.411183 | − | 1.71203i | ||||
\(754\) | −2.40237 | − | 1.38701i | −0.0874890 | − | 0.0505118i | ||||
\(755\) | −1.40189 | −0.0510202 | ||||||||
\(756\) | −3.18922 | − | 13.3727i | −0.115991 | − | 0.486360i | ||||
\(757\) | 1.75387 | 0.0637455 | 0.0318728 | − | 0.999492i | \(-0.489853\pi\) | ||||
0.0318728 | + | 0.999492i | \(0.489853\pi\) | |||||||
\(758\) | 2.51854 | + | 1.45408i | 0.0914776 | + | 0.0528146i | ||||
\(759\) | −9.16483 | + | 38.1594i | −0.332662 | + | 1.38510i | ||||
\(760\) | 3.87412 | + | 6.71016i | 0.140529 | + | 0.243403i | ||||
\(761\) | 40.0986 | 1.45357 | 0.726786 | − | 0.686864i | \(-0.241013\pi\) | ||||
0.726786 | + | 0.686864i | \(0.241013\pi\) | |||||||
\(762\) | 5.27074 | − | 5.55322i | 0.190939 | − | 0.201172i | ||||
\(763\) | −40.6961 | − | 4.32835i | −1.47330 | − | 0.156697i | ||||
\(764\) | − | 9.24540i | − | 0.334487i | ||||||
\(765\) | −16.6820 | + | 10.8292i | −0.603139 | + | 0.391532i | ||||
\(766\) | −2.75291 | − | 1.58939i | −0.0994667 | − | 0.0574271i | ||||
\(767\) | − | 7.28846i | − | 0.263171i | ||||||
\(768\) | −1.66077 | + | 0.491782i | −0.0599278 | + | 0.0177457i | ||||
\(769\) | 5.48232 | + | 3.16522i | 0.197698 | + | 0.114141i | 0.595581 | − | 0.803295i | \(-0.296922\pi\) |
−0.397883 | + | 0.917436i | \(0.630255\pi\) | |||||||
\(770\) | −11.8692 | − | 1.26238i | −0.427735 | − | 0.0454930i | ||||
\(771\) | 5.72382 | − | 23.8322i | 0.206138 | − | 0.858294i | ||||
\(772\) | −8.98854 | + | 15.5686i | −0.323505 | + | 0.560327i | ||||
\(773\) | −13.5247 | + | 23.4255i | −0.486450 | + | 0.842556i | −0.999879 | − | 0.0155764i | \(-0.995042\pi\) |
0.513429 | + | 0.858132i | \(0.328375\pi\) | |||||||
\(774\) | −13.2745 | + | 26.0414i | −0.477144 | + | 0.936038i | ||||
\(775\) | −4.32162 | + | 2.49509i | −0.155237 | + | 0.0896262i | ||||
\(776\) | 4.18451 | + | 7.24779i | 0.150215 | + | 0.260180i | ||||
\(777\) | −2.82362 | − | 3.31495i | −0.101297 | − | 0.118923i | ||||
\(778\) | −6.33227 | + | 10.9678i | −0.227023 | + | 0.393215i | ||||
\(779\) | − | 66.8313i | − | 2.39448i | ||||||
\(780\) | −3.74552 | − | 0.899571i | −0.134111 | − | 0.0322098i | ||||
\(781\) | 43.2185 | 1.54648 | ||||||||
\(782\) | 16.6479 | + | 28.8351i | 0.595329 | + | 1.03114i | ||||
\(783\) | −1.18281 | + | 6.37244i | −0.0422702 | + | 0.227732i | ||||
\(784\) | −2.14660 | − | 6.66274i | −0.0766645 | − | 0.237955i | ||||
\(785\) | 13.6405 | − | 7.87534i | 0.486850 | − | 0.281083i | ||||
\(786\) | 9.94963 | − | 10.4829i | 0.354891 | − | 0.373911i | ||||
\(787\) | 2.13740 | − | 1.23403i | 0.0761901 | − | 0.0439884i | −0.461421 | − | 0.887181i | \(-0.652660\pi\) |
0.537611 | + | 0.843193i | \(0.319327\pi\) | |||||||
\(788\) | −9.68036 | + | 5.58896i | −0.344849 | + | 0.199098i | ||||
\(789\) | −51.8517 | − | 12.4533i | −1.84597 | − | 0.443351i | ||||
\(790\) | 3.43054 | − | 1.98062i | 0.122053 | − | 0.0704674i | ||||
\(791\) | 0.959847 | − | 9.02469i | 0.0341282 | − | 0.320881i | ||||
\(792\) | −12.0580 | − | 6.14657i | −0.428464 | − | 0.218409i | ||||
\(793\) | 12.6933 | + | 21.9854i | 0.450751 | + | 0.780723i | ||||
\(794\) | 26.2274 | 0.930775 | ||||||||
\(795\) | 6.45074 | − | 6.79645i | 0.228784 | − | 0.241045i | ||||
\(796\) | 3.02767i | 0.107313i | ||||||||
\(797\) | 25.8208 | − | 44.7230i | 0.914621 | − | 1.58417i | 0.107165 | − | 0.994241i | \(-0.465823\pi\) |
0.807456 | − | 0.589928i | \(-0.200844\pi\) | |||||||
\(798\) | −34.9209 | + | 6.42423i | −1.23618 | + | 0.227415i | ||||
\(799\) | 16.7869 | + | 29.0757i | 0.593877 | + | 1.02863i | ||||
\(800\) | 0.866025 | − | 0.500000i | 0.0306186 | − | 0.0176777i | ||||
\(801\) | −2.78234 | − | 53.2704i | −0.0983092 | − | 1.88222i | ||||
\(802\) | −10.5908 | + | 18.3439i | −0.373975 | + | 0.647744i | ||||
\(803\) | −2.89644 | + | 5.01678i | −0.102213 | + | 0.177038i | ||||
\(804\) | −6.95766 | − | 6.60374i | −0.245378 | − | 0.232896i | ||||
\(805\) | 12.1457 | − | 5.38959i | 0.428080 | − | 0.189958i | ||||
\(806\) | 9.61116 | + | 5.54901i | 0.338539 | + | 0.195455i | ||||
\(807\) | −0.684277 | − | 0.649469i | −0.0240877 | − | 0.0228624i | ||||
\(808\) | − | 11.6336i | − | 0.409268i | ||||||
\(809\) | 4.28122 | + | 2.47177i | 0.150520 | + | 0.0869026i | 0.573368 | − | 0.819298i | \(-0.305636\pi\) |
−0.422849 | + | 0.906200i | \(0.638970\pi\) | |||||||
\(810\) | 0.937591 | + | 8.95103i | 0.0329436 | + | 0.314507i | ||||
\(811\) | 18.7591i | 0.658720i | 0.944204 | + | 0.329360i | \(0.106833\pi\) | ||||
−0.944204 | + | 0.329360i | \(0.893167\pi\) | |||||||
\(812\) | −0.349024 | + | 3.28160i | −0.0122483 | + | 0.115162i | ||||
\(813\) | −10.1857 | − | 34.3977i | −0.357230 | − | 1.20638i | ||||
\(814\) | −4.28690 | −0.150256 | ||||||||
\(815\) | 0.789054 | + | 1.36668i | 0.0276393 | + | 0.0478728i | ||||
\(816\) | −11.0102 | + | 3.26031i | −0.385434 | + | 0.114134i | ||||
\(817\) | 65.3784 | + | 37.7462i | 2.28730 | + | 1.32057i | ||||
\(818\) | −39.7456 | −1.38967 | ||||||||
\(819\) | 9.63506 | − | 14.7908i | 0.336676 | − | 0.516832i | ||||
\(820\) | −8.62536 | −0.301211 | ||||||||
\(821\) | 44.8460 | + | 25.8919i | 1.56514 | + | 0.903632i | 0.996723 | + | 0.0808894i | \(0.0257760\pi\) |
0.568414 | + | 0.822743i | \(0.307557\pi\) | |||||||
\(822\) | −14.3972 | − | 13.6649i | −0.502162 | − | 0.476618i | ||||
\(823\) | −15.8652 | − | 27.4793i | −0.553026 | − | 0.957869i | −0.998054 | − | 0.0623527i | \(-0.980140\pi\) |
0.445028 | − | 0.895517i | \(-0.353194\pi\) | |||||||
\(824\) | −13.3778 | −0.466037 | ||||||||
\(825\) | 7.59796 | + | 1.82482i | 0.264527 | + | 0.0635320i | ||||
\(826\) | −7.92547 | + | 3.51688i | −0.275762 | + | 0.122368i | ||||
\(827\) | 44.9946i | 1.56461i | 0.622893 | + | 0.782307i | \(0.285957\pi\) | ||||
−0.622893 | + | 0.782307i | \(0.714043\pi\) | |||||||
\(828\) | 15.0465 | − | 0.785884i | 0.522901 | − | 0.0273114i | ||||
\(829\) | 31.0372 | + | 17.9194i | 1.07797 | + | 0.622365i | 0.930347 | − | 0.366679i | \(-0.119505\pi\) |
0.147620 | + | 0.989044i | \(0.452839\pi\) | |||||||
\(830\) | 11.4319i | 0.396806i | ||||||||
\(831\) | −7.07487 | + | 29.4575i | −0.245425 | + | 1.02187i | ||||
\(832\) | −1.92602 | − | 1.11199i | −0.0667726 | − | 0.0385512i | ||||
\(833\) | −14.2311 | − | 44.1711i | −0.493078 | − | 1.53044i | ||||
\(834\) | 5.67196 | − | 1.67957i | 0.196404 | − | 0.0581586i | ||||
\(835\) | −4.60834 | + | 7.98188i | −0.159478 | + | 0.276224i | ||||
\(836\) | −17.4778 | + | 30.2724i | −0.604482 | + | 1.04699i | ||||
\(837\) | 4.73208 | − | 25.4943i | 0.163564 | − | 0.881211i | ||||
\(838\) | −5.29774 | + | 3.05865i | −0.183007 | + | 0.105659i | ||||
\(839\) | 11.8062 | + | 20.4490i | 0.407596 | + | 0.705978i | 0.994620 | − | 0.103592i | \(-0.0330337\pi\) |
−0.587024 | + | 0.809570i | \(0.699700\pi\) | |||||||
\(840\) | 0.829123 | + | 4.50695i | 0.0286075 | + | 0.155504i | ||||
\(841\) | −13.7221 | + | 23.7674i | −0.473176 | + | 0.819564i | ||||
\(842\) | 1.00654i | 0.0346877i | ||||||||
\(843\) | −8.98482 | − | 30.3421i | −0.309454 | − | 1.04504i | ||||
\(844\) | 17.9938 | 0.619372 | ||||||||
\(845\) | 4.02697 | + | 6.97492i | 0.138532 | + | 0.239945i | ||||
\(846\) | 15.1720 | − | 0.792444i | 0.521626 | − | 0.0272448i | ||||
\(847\) | −10.0369 | − | 22.6187i | −0.344873 | − | 0.777188i | ||||
\(848\) | 4.68518 | − | 2.70499i | 0.160890 | − | 0.0928898i | ||||
\(849\) | −4.53017 | − | 15.2986i | −0.155475 | − | 0.525046i | ||||
\(850\) | 5.74138 | − | 3.31479i | 0.196928 | − | 0.113696i | ||||
\(851\) | 4.13299 | − | 2.38618i | 0.141677 | − | 0.0817973i | ||||
\(852\) | −4.71117 | − | 15.9098i | −0.161402 | − | 0.545061i | ||||
\(853\) | −49.7153 | + | 28.7031i | −1.70222 | + | 0.982777i | −0.758711 | + | 0.651427i | \(0.774171\pi\) |
−0.943508 | + | 0.331349i | \(0.892496\pi\) | |||||||
\(854\) | 17.7820 | − | 24.4112i | 0.608489 | − | 0.835333i | ||||
\(855\) | 23.2131 | − | 1.21243i | 0.793870 | − | 0.0414642i | ||||
\(856\) | 5.49020 | + | 9.50931i | 0.187651 | + | 0.325022i | ||||
\(857\) | 29.8739 | 1.02047 | 0.510237 | − | 0.860034i | \(-0.329558\pi\) | ||||
0.510237 | + | 0.860034i | \(0.329558\pi\) | |||||||
\(858\) | −4.93419 | − | 16.6630i | −0.168451 | − | 0.568864i | ||||
\(859\) | 3.85047i | 0.131376i | 0.997840 | + | 0.0656881i | \(0.0209242\pi\) | ||||
−0.997840 | + | 0.0656881i | \(0.979076\pi\) | |||||||
\(860\) | 4.87159 | − | 8.43784i | 0.166120 | − | 0.287728i | ||||
\(861\) | 13.2436 | − | 37.2416i | 0.451342 | − | 1.26919i | ||||
\(862\) | 10.1937 | + | 17.6560i | 0.347199 | + | 0.601367i | ||||
\(863\) | 38.3566 | − | 22.1452i | 1.30567 | − | 0.753831i | 0.324303 | − | 0.945953i | \(-0.394870\pi\) |
0.981371 | + | 0.192122i | \(0.0615368\pi\) | |||||||
\(864\) | −0.948278 | + | 5.10889i | −0.0322611 | + | 0.173808i | ||||
\(865\) | 1.26455 | − | 2.19027i | 0.0429961 | − | 0.0744715i | ||||
\(866\) | 4.76824 | − | 8.25884i | 0.162031 | − | 0.280647i | ||||
\(867\) | −44.7598 | + | 13.2542i | −1.52012 | + | 0.450135i | ||||
\(868\) | 1.39634 | − | 13.1287i | 0.0473950 | − | 0.445618i | ||||
\(869\) | 15.4766 | + | 8.93543i | 0.525008 | + | 0.303114i | ||||
\(870\) | 0.504527 | − | 2.10069i | 0.0171051 | − | 0.0712201i | ||||
\(871\) | − | 12.3170i | − | 0.417347i | ||||||
\(872\) | 13.3960 | + | 7.73421i | 0.453647 | + | 0.261913i | ||||
\(873\) | 25.0729 | − | 1.30957i | 0.848589 | − | 0.0443222i | ||||
\(874\) | − | 38.9141i | − | 1.31629i | ||||||
\(875\) | −1.07313 | − | 2.41835i | −0.0362783 | − | 0.0817550i | ||||
\(876\) | 2.16254 | + | 0.519381i | 0.0730653 | + | 0.0175483i | ||||
\(877\) | −28.2949 | −0.955451 | −0.477725 | − | 0.878509i | \(-0.658539\pi\) | ||||
−0.477725 | + | 0.878509i | \(0.658539\pi\) | |||||||
\(878\) | 10.8763 | + | 18.8382i | 0.367056 | + | 0.635760i | ||||
\(879\) | −15.6928 | − | 14.8946i | −0.529306 | − | 0.502382i | ||||
\(880\) | 3.90701 | + | 2.25571i | 0.131705 | + | 0.0760401i | ||||
\(881\) | 46.4649 | 1.56544 | 0.782721 | − | 0.622372i | \(-0.213831\pi\) | ||||
0.782721 | + | 0.622372i | \(0.213831\pi\) | |||||||
\(882\) | −20.7327 | − | 3.34021i | −0.698105 | − | 0.112471i | ||||
\(883\) | 13.7476 | 0.462643 | 0.231322 | − | 0.972877i | \(-0.425695\pi\) | ||||
0.231322 | + | 0.972877i | \(0.425695\pi\) | |||||||
\(884\) | −12.7687 | − | 7.37200i | −0.429457 | − | 0.247947i | ||||
\(885\) | 5.44271 | − | 1.61168i | 0.182955 | − | 0.0541761i | ||||
\(886\) | −5.94470 | − | 10.2965i | −0.199716 | − | 0.345919i | ||||
\(887\) | 7.54100 | 0.253202 | 0.126601 | − | 0.991954i | \(-0.459593\pi\) | ||||
0.126601 | + | 0.991954i | \(0.459593\pi\) | |||||||
\(888\) | 0.467307 | + | 1.57811i | 0.0156818 | + | 0.0529580i | ||||
\(889\) | −4.74361 | − | 10.6900i | −0.159096 | − | 0.358530i | ||||
\(890\) | 17.7810i | 0.596021i | ||||||||
\(891\) | −32.8568 | + | 23.8541i | −1.10074 | + | 0.799143i | ||||
\(892\) | −10.6762 | − | 6.16390i | −0.357465 | − | 0.206383i | ||||
\(893\) | − | 39.2389i | − | 1.31308i | ||||||
\(894\) | 22.2929 | + | 21.1589i | 0.745586 | + | 0.707660i | ||||
\(895\) | 9.58793 | + | 5.53559i | 0.320489 | + | 0.185034i | ||||
\(896\) | −0.279818 | + | 2.63091i | −0.00934807 | + | 0.0878926i | ||||
\(897\) | 14.0320 | + | 13.3183i | 0.468516 | + | 0.444684i | ||||
\(898\) | −8.53785 | + | 14.7880i | −0.284912 | + | 0.493482i | ||||
\(899\) | −3.11218 | + | 5.39046i | −0.103797 | + | 0.179782i | ||||
\(900\) | −0.156478 | − | 2.99592i | −0.00521594 | − | 0.0998639i | ||||
\(901\) | 31.0608 | − | 17.9330i | 1.03478 | − | 0.597433i | ||||
\(902\) | −19.4563 | − | 33.6994i | −0.647825 | − | 1.12207i | ||||
\(903\) | 28.9520 | + | 33.9898i | 0.963462 | + | 1.13111i | ||||
\(904\) | −1.71512 | + | 2.97068i | −0.0570442 | + | 0.0988034i | ||||
\(905\) | 17.6466i | 0.586593i | ||||||||
\(906\) | −1.67159 | + | 1.76117i | −0.0555347 | + | 0.0585110i | ||||
\(907\) | 3.80480 | 0.126336 | 0.0631681 | − | 0.998003i | \(-0.479880\pi\) | ||||
0.0631681 | + | 0.998003i | \(0.479880\pi\) | |||||||
\(908\) | 6.09913 | + | 10.5640i | 0.202407 | + | 0.350579i | ||||
\(909\) | −31.0940 | − | 15.8501i | −1.03132 | − | 0.525715i | ||||
\(910\) | −3.46447 | + | 4.75603i | −0.114846 | + | 0.157661i | ||||
\(911\) | −14.3197 | + | 8.26749i | −0.474433 | + | 0.273914i | −0.718094 | − | 0.695946i | \(-0.754985\pi\) |
0.243660 | + | 0.969861i | \(0.421652\pi\) | |||||||
\(912\) | 13.0492 | + | 3.13407i | 0.432104 | + | 0.103779i | ||||
\(913\) | −44.6644 | + | 25.7870i | −1.47818 | + | 0.853426i | ||||
\(914\) | −2.29554 | + | 1.32533i | −0.0759298 | + | 0.0438381i | ||||
\(915\) | −13.6109 | + | 14.3404i | −0.449963 | + | 0.474078i | ||||
\(916\) | −10.5931 | + | 6.11591i | −0.350005 | + | 0.202075i | ||||
\(917\) | −8.95456 | − | 20.1796i | −0.295706 | − | 0.666388i | ||||
\(918\) | −6.28668 | + | 33.8698i | −0.207491 | + | 1.11787i | ||||
\(919\) | 20.4282 | + | 35.3826i | 0.673863 | + | 1.16716i | 0.976800 | + | 0.214154i | \(0.0686994\pi\) |
−0.302937 | + | 0.953010i | \(0.597967\pi\) | |||||||
\(920\) | −5.02232 | −0.165581 | ||||||||
\(921\) | −10.6514 | − | 2.55816i | −0.350974 | − | 0.0842943i | ||||
\(922\) | 41.4154i | 1.36394i | ||||||||
\(923\) | 10.6526 | − | 18.4508i | 0.350634 | − | 0.607317i | ||||
\(924\) | −15.7384 | + | 13.4058i | −0.517756 | + | 0.441017i | ||||
\(925\) | −0.475116 | − | 0.822924i | −0.0156217 | − | 0.0270576i | ||||
\(926\) | −3.15182 | + | 1.81970i | −0.103575 | + | 0.0597991i | ||||
\(927\) | −18.2265 | + | 35.7558i | −0.598635 | + | 1.17437i | ||||
\(928\) | 0.623662 | − | 1.08021i | 0.0204727 | − | 0.0354598i | ||||
\(929\) | −23.3606 | + | 40.4617i | −0.766435 | + | 1.32750i | 0.173049 | + | 0.984913i | \(0.444638\pi\) |
−0.939485 | + | 0.342591i | \(0.888695\pi\) | |||||||
\(930\) | −2.01847 | + | 8.40425i | −0.0661881 | + | 0.275586i | ||||
\(931\) | −11.4081 | + | 53.0243i | −0.373887 | + | 1.73780i | ||||
\(932\) | −0.604674 | − | 0.349109i | −0.0198068 | − | 0.0114354i | ||||
\(933\) | 37.4615 | − | 11.0930i | 1.22643 | − | 0.363168i | ||||
\(934\) | − | 32.2586i | − | 1.05553i | ||||||
\(935\) | 25.9018 | + | 14.9544i | 0.847080 | + | 0.489062i | ||||
\(936\) | −5.59618 | + | 3.63280i | −0.182917 | + | 0.118742i | ||||
\(937\) | − | 4.60721i | − | 0.150511i | −0.997164 | − | 0.0752555i | \(-0.976023\pi\) | ||
0.997164 | − | 0.0752555i | \(-0.0239772\pi\) | |||||||
\(938\) | −13.3935 | + | 5.94330i | −0.437315 | + | 0.194056i | ||||
\(939\) | 12.5391 | − | 13.2111i | 0.409198 | − | 0.431128i | ||||
\(940\) | −5.06424 | −0.165177 | ||||||||
\(941\) | −1.29667 | − | 2.24590i | −0.0422703 | − | 0.0732143i | 0.844116 | − | 0.536160i | \(-0.180126\pi\) |
−0.886387 | + | 0.462946i | \(0.846792\pi\) | |||||||
\(942\) | 6.37096 | − | 26.5266i | 0.207577 | − | 0.864284i | ||||
\(943\) | 37.5156 | + | 21.6597i | 1.22168 | + | 0.705336i | ||||
\(944\) | 3.27723 | 0.106665 | ||||||||
\(945\) | 13.1757 | + | 3.92440i | 0.428606 | + | 0.127661i | ||||
\(946\) | 43.9556 | 1.42912 | ||||||||
\(947\) | 29.7197 | + | 17.1587i | 0.965762 | + | 0.557583i | 0.897942 | − | 0.440115i | \(-0.145062\pi\) |
0.0678204 | + | 0.997698i | \(0.478396\pi\) | |||||||
\(948\) | 1.60228 | − | 6.67136i | 0.0520395 | − | 0.216676i | ||||
\(949\) | 1.42784 | + | 2.47309i | 0.0463497 | + | 0.0802800i | ||||
\(950\) | −7.74823 | −0.251386 | ||||||||
\(951\) | 12.6979 | − | 13.3785i | 0.411759 | − | 0.433826i | ||||
\(952\) | −1.85508 | + | 17.4418i | −0.0601234 | + | 0.565293i | ||||
\(953\) | − | 25.0785i | − | 0.812372i | −0.913791 | − | 0.406186i | \(-0.866859\pi\) | ||
0.913791 | − | 0.406186i | \(-0.133141\pi\) | |||||||
\(954\) | −0.846545 | − | 16.2079i | −0.0274079 | − | 0.524749i | ||||
\(955\) | 8.00675 | + | 4.62270i | 0.259092 | + | 0.149587i | ||||
\(956\) | − | 5.50663i | − | 0.178097i | ||||||
\(957\) | 9.34549 | − | 2.76736i | 0.302097 | − | 0.0894561i | ||||
\(958\) | −4.39670 | − | 2.53843i | −0.142051 | − | 0.0820131i | ||||
\(959\) | −27.7148 | + | 12.2983i | −0.894957 | + | 0.397132i | ||||
\(960\) | 0.404488 | − | 1.68416i | 0.0130548 | − | 0.0543560i | ||||
\(961\) | −3.04907 | + | 5.28115i | −0.0983572 | + | 0.170360i | ||||
\(962\) | −1.05664 | + | 1.83016i | −0.0340676 | + | 0.0590068i | ||||
\(963\) | 32.8964 | − | 1.71819i | 1.06007 | − | 0.0553680i | ||||
\(964\) | −15.3054 | + | 8.83660i | −0.492955 | + | 0.284608i | ||||
\(965\) | −8.98854 | − | 15.5686i | −0.289351 | − | 0.501171i | ||||
\(966\) | 7.71143 | − | 21.6848i | 0.248111 | − | 0.697698i | ||||
\(967\) | 9.16386 | − | 15.8723i | 0.294690 | − | 0.510418i | −0.680223 | − | 0.733005i | \(-0.738117\pi\) |
0.974913 | + | 0.222587i | \(0.0714503\pi\) | |||||||
\(968\) | 9.35297i | 0.300616i | ||||||||
\(969\) | 86.5110 | + | 20.7775i | 2.77913 | + | 0.667471i | ||||
\(970\) | −8.36903 | −0.268713 | ||||||||
\(971\) | −21.0601 | − | 36.4772i | −0.675851 | − | 1.17061i | −0.976219 | − | 0.216786i | \(-0.930443\pi\) |
0.300368 | − | 0.953823i | \(-0.402891\pi\) | |||||||
\(972\) | 12.3630 | + | 9.49512i | 0.396542 | + | 0.304556i | ||||
\(973\) | 0.955653 | − | 8.98526i | 0.0306368 | − | 0.288054i | ||||
\(974\) | −15.2226 | + | 8.78880i | −0.487765 | + | 0.281611i | ||||
\(975\) | 2.65181 | − | 2.79393i | 0.0849260 | − | 0.0894774i | ||||
\(976\) | −9.88563 | + | 5.70747i | −0.316431 | + | 0.182692i | ||||
\(977\) | −44.2802 | + | 25.5652i | −1.41665 | + | 0.817903i | −0.996003 | − | 0.0893221i | \(-0.971530\pi\) |
−0.420646 | + | 0.907225i | \(0.638197\pi\) | |||||||
\(978\) | 2.65778 | + | 0.638326i | 0.0849865 | + | 0.0204114i | ||||
\(979\) | −69.4706 | + | 40.1089i | −2.22029 | + | 1.28188i | ||||
\(980\) | 6.84340 | + | 1.47236i | 0.218605 | + | 0.0470327i | ||||
\(981\) | 38.9232 | − | 25.2672i | 1.24272 | − | 0.806721i | ||||
\(982\) | 15.7543 | + | 27.2873i | 0.502741 | + | 0.870774i | ||||
\(983\) | −51.7996 | −1.65215 | −0.826075 | − | 0.563560i | \(-0.809431\pi\) | ||||
−0.826075 | + | 0.563560i | \(0.809431\pi\) | |||||||
\(984\) | −10.2847 | + | 10.8359i | −0.327863 | + | 0.345435i | ||||
\(985\) | − | 11.1779i | − | 0.356158i | ||||||
\(986\) | 4.13461 | − | 7.16136i | 0.131673 | − | 0.228064i | ||||
\(987\) | 7.77579 | − | 21.8658i | 0.247506 | − | 0.695997i | ||||
\(988\) | 8.61593 | + | 14.9232i | 0.274109 | + | 0.474771i | ||||
\(989\) | −42.3776 | + | 24.4667i | −1.34753 | + | 0.777996i | ||||
\(990\) | 11.3521 | − | 7.36929i | 0.360794 | − | 0.234211i | ||||
\(991\) | 7.43685 | − | 12.8810i | 0.236239 | − | 0.409178i | −0.723393 | − | 0.690437i | \(-0.757418\pi\) |
0.959632 | + | 0.281258i | \(0.0907518\pi\) | |||||||
\(992\) | −2.49509 | + | 4.32162i | −0.0792191 | + | 0.137212i | ||||
\(993\) | −20.0857 | − | 19.0640i | −0.637401 | − | 0.604978i | ||||
\(994\) | −25.2036 | − | 2.68060i | −0.799409 | − | 0.0850235i | ||||
\(995\) | −2.62204 | − | 1.51384i | −0.0831243 | − | 0.0479918i | ||||
\(996\) | 14.3616 | + | 13.6311i | 0.455066 | + | 0.431918i | ||||
\(997\) | − | 57.8595i | − | 1.83243i | −0.400687 | − | 0.916215i | \(-0.631229\pi\) | ||
0.400687 | − | 0.916215i | \(-0.368771\pi\) | |||||||
\(998\) | 29.6045 | + | 17.0922i | 0.937115 | + | 0.541043i | ||||
\(999\) | 4.85463 | + | 0.901084i | 0.153594 | + | 0.0285090i |
(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 | 630.2.t.b.311.4 | ✓ | 28 | |
3.2 | odd | 2 | 1890.2.t.b.1151.13 | 28 | |||
7.5 | odd | 6 | 630.2.bk.b.131.9 | yes | 28 | ||
9.2 | odd | 6 | 630.2.bk.b.101.2 | yes | 28 | ||
9.7 | even | 3 | 1890.2.bk.b.521.2 | 28 | |||
21.5 | even | 6 | 1890.2.bk.b.341.2 | 28 | |||
63.47 | even | 6 | inner | 630.2.t.b.551.4 | yes | 28 | |
63.61 | odd | 6 | 1890.2.t.b.1601.13 | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
630.2.t.b.311.4 | ✓ | 28 | 1.1 | even | 1 | trivial | |
630.2.t.b.551.4 | yes | 28 | 63.47 | even | 6 | inner | |
630.2.bk.b.101.2 | yes | 28 | 9.2 | odd | 6 | ||
630.2.bk.b.131.9 | yes | 28 | 7.5 | odd | 6 | ||
1890.2.t.b.1151.13 | 28 | 3.2 | odd | 2 | |||
1890.2.t.b.1601.13 | 28 | 63.61 | odd | 6 | |||
1890.2.bk.b.341.2 | 28 | 21.5 | even | 6 | |||
1890.2.bk.b.521.2 | 28 | 9.7 | even | 3 |