Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(29,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 9, 17]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.bf (of order \(18\), degree \(6\), 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: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 269.19 | ||
Character | \(\chi\) | \(=\) | 570.269 |
Dual form | 570.2.bf.a.89.19 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{13}{18}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.642788 | + | 0.766044i | −0.454519 | + | 0.541675i | ||||
\(3\) | 1.61017 | − | 0.638236i | 0.929634 | − | 0.368485i | ||||
\(4\) | −0.173648 | − | 0.984808i | −0.0868241 | − | 0.492404i | ||||
\(5\) | 1.09284 | − | 1.95082i | 0.488732 | − | 0.872434i | ||||
\(6\) | −0.546082 | + | 1.64371i | −0.222937 | + | 0.671043i | ||||
\(7\) | 1.53910 | − | 0.888602i | 0.581727 | − | 0.335860i | −0.180093 | − | 0.983650i | \(-0.557640\pi\) |
0.761819 | + | 0.647790i | \(0.224306\pi\) | |||||||
\(8\) | 0.866025 | + | 0.500000i | 0.306186 | + | 0.176777i | ||||
\(9\) | 2.18531 | − | 2.05534i | 0.728437 | − | 0.685113i | ||||
\(10\) | 0.791952 | + | 2.09113i | 0.250437 | + | 0.661272i | ||||
\(11\) | −3.70867 | − | 2.14120i | −1.11821 | − | 0.645597i | −0.177264 | − | 0.984163i | \(-0.556725\pi\) |
−0.940943 | + | 0.338566i | \(0.890058\pi\) | |||||||
\(12\) | −0.908143 | − | 1.47488i | −0.262158 | − | 0.425762i | ||||
\(13\) | 2.04162 | + | 0.743090i | 0.566245 | + | 0.206096i | 0.609249 | − | 0.792979i | \(-0.291471\pi\) |
−0.0430048 | + | 0.999075i | \(0.513693\pi\) | |||||||
\(14\) | −0.308608 | + | 1.75020i | −0.0824790 | + | 0.467762i | ||||
\(15\) | 0.514576 | − | 3.83865i | 0.132863 | − | 0.991134i | ||||
\(16\) | −0.939693 | + | 0.342020i | −0.234923 | + | 0.0855050i | ||||
\(17\) | −0.583489 | − | 0.489606i | −0.141517 | − | 0.118747i | 0.569281 | − | 0.822143i | \(-0.307222\pi\) |
−0.710798 | + | 0.703396i | \(0.751666\pi\) | |||||||
\(18\) | 0.169790 | + | 2.99519i | 0.0400199 | + | 0.705973i | ||||
\(19\) | −4.17277 | − | 1.26015i | −0.957299 | − | 0.289099i | ||||
\(20\) | −2.11095 | − | 0.737480i | −0.472023 | − | 0.164906i | ||||
\(21\) | 1.91109 | − | 2.41311i | 0.417033 | − | 0.526585i | ||||
\(22\) | 4.02414 | − | 1.46467i | 0.857951 | − | 0.312268i | ||||
\(23\) | 1.10821 | + | 6.28498i | 0.231078 | + | 1.31051i | 0.850718 | + | 0.525623i | \(0.176168\pi\) |
−0.619640 | + | 0.784886i | \(0.712721\pi\) | |||||||
\(24\) | 1.71357 | + | 0.252358i | 0.349781 | + | 0.0515124i | ||||
\(25\) | −2.61141 | − | 4.26387i | −0.522281 | − | 0.852773i | ||||
\(26\) | −1.88157 | + | 1.08633i | −0.369006 | + | 0.213046i | ||||
\(27\) | 2.20694 | − | 4.70419i | 0.424725 | − | 0.905322i | ||||
\(28\) | −1.14237 | − | 1.36142i | −0.215887 | − | 0.257284i | ||||
\(29\) | 1.06570 | − | 0.894225i | 0.197895 | − | 0.166053i | −0.538456 | − | 0.842654i | \(-0.680992\pi\) |
0.736350 | + | 0.676600i | \(0.236548\pi\) | |||||||
\(30\) | 2.60981 | + | 2.86162i | 0.476484 | + | 0.522458i | ||||
\(31\) | −4.34123 | + | 2.50641i | −0.779708 | + | 0.450165i | −0.836327 | − | 0.548231i | \(-0.815301\pi\) |
0.0566186 | + | 0.998396i | \(0.481968\pi\) | |||||||
\(32\) | 0.342020 | − | 0.939693i | 0.0604612 | − | 0.166116i | ||||
\(33\) | −7.33819 | − | 1.08070i | −1.27742 | − | 0.188126i | ||||
\(34\) | 0.750120 | − | 0.132266i | 0.128644 | − | 0.0226835i | ||||
\(35\) | −0.0515108 | − | 3.97362i | −0.00870691 | − | 0.671664i | ||||
\(36\) | −2.40359 | − | 1.79521i | −0.400598 | − | 0.299201i | ||||
\(37\) | 7.40103 | 1.21672 | 0.608361 | − | 0.793661i | \(-0.291827\pi\) | ||||
0.608361 | + | 0.793661i | \(0.291827\pi\) | |||||||
\(38\) | 3.64754 | − | 2.38652i | 0.591709 | − | 0.387144i | ||||
\(39\) | 3.76163 | − | 0.106533i | 0.602343 | − | 0.0170590i | ||||
\(40\) | 1.92184 | − | 1.14304i | 0.303869 | − | 0.180731i | ||||
\(41\) | 3.10582 | − | 1.13043i | 0.485048 | − | 0.176543i | −0.0879090 | − | 0.996129i | \(-0.528018\pi\) |
0.572957 | + | 0.819586i | \(0.305796\pi\) | |||||||
\(42\) | 0.620130 | + | 3.01510i | 0.0956882 | + | 0.465239i | ||||
\(43\) | 0.00915669 | + | 0.00161457i | 0.00139638 | + | 0.000246220i | 0.174346 | − | 0.984684i | \(-0.444219\pi\) |
−0.172950 | + | 0.984931i | \(0.555330\pi\) | |||||||
\(44\) | −1.46467 | + | 4.02414i | −0.220807 | + | 0.606663i | ||||
\(45\) | −1.62141 | − | 6.50930i | −0.241705 | − | 0.970350i | ||||
\(46\) | −5.52692 | − | 3.19097i | −0.814900 | − | 0.470483i | ||||
\(47\) | 3.61602 | − | 3.03420i | 0.527451 | − | 0.442584i | −0.339769 | − | 0.940509i | \(-0.610349\pi\) |
0.867220 | + | 0.497925i | \(0.165904\pi\) | |||||||
\(48\) | −1.29478 | + | 1.15046i | −0.186885 | + | 0.166054i | ||||
\(49\) | −1.92077 | + | 3.32687i | −0.274396 | + | 0.475268i | ||||
\(50\) | 4.94489 | + | 0.740308i | 0.699313 | + | 0.104695i | ||||
\(51\) | −1.25200 | − | 0.415946i | −0.175315 | − | 0.0582441i | ||||
\(52\) | 0.377277 | − | 2.13964i | 0.0523189 | − | 0.296715i | ||||
\(53\) | 0.204353 | − | 0.0360329i | 0.0280700 | − | 0.00494950i | −0.159596 | − | 0.987182i | \(-0.551019\pi\) |
0.187666 | + | 0.982233i | \(0.439908\pi\) | |||||||
\(54\) | 2.18503 | + | 4.71441i | 0.297345 | + | 0.641550i | ||||
\(55\) | −8.23008 | + | 4.89497i | −1.10974 | + | 0.660037i | ||||
\(56\) | 1.77720 | 0.237489 | ||||||||
\(57\) | −7.52315 | + | 0.634147i | −0.996466 | + | 0.0839948i | ||||
\(58\) | 1.39117i | 0.182669i | ||||||||
\(59\) | 9.23350 | + | 7.74782i | 1.20210 | + | 1.00868i | 0.999568 | + | 0.0294050i | \(0.00936127\pi\) |
0.202531 | + | 0.979276i | \(0.435083\pi\) | |||||||
\(60\) | −3.86968 | + | 0.159816i | −0.499574 | + | 0.0206321i | ||||
\(61\) | 1.87217 | + | 10.6176i | 0.239707 | + | 1.35945i | 0.832471 | + | 0.554069i | \(0.186926\pi\) |
−0.592764 | + | 0.805376i | \(0.701963\pi\) | |||||||
\(62\) | 0.870468 | − | 4.93667i | 0.110549 | − | 0.626957i | ||||
\(63\) | 1.53704 | − | 5.10525i | 0.193649 | − | 0.643201i | ||||
\(64\) | 0.500000 | + | 0.866025i | 0.0625000 | + | 0.108253i | ||||
\(65\) | 3.68080 | − | 3.17076i | 0.456547 | − | 0.393285i | ||||
\(66\) | 5.54476 | − | 4.92672i | 0.682513 | − | 0.606438i | ||||
\(67\) | 3.11150 | − | 2.61086i | 0.380130 | − | 0.318967i | −0.432623 | − | 0.901575i | \(-0.642412\pi\) |
0.812754 | + | 0.582608i | \(0.197968\pi\) | |||||||
\(68\) | −0.380846 | + | 0.659644i | −0.0461843 | + | 0.0799936i | ||||
\(69\) | 5.79571 | + | 9.41260i | 0.697722 | + | 1.13314i | ||||
\(70\) | 3.07708 | + | 2.51473i | 0.367781 | + | 0.300568i | ||||
\(71\) | 2.40783 | − | 13.6555i | 0.285757 | − | 1.62061i | −0.416812 | − | 0.908993i | \(-0.636853\pi\) |
0.702569 | − | 0.711616i | \(-0.252036\pi\) | |||||||
\(72\) | 2.92020 | − | 0.687320i | 0.344149 | − | 0.0810015i | ||||
\(73\) | 2.88136 | + | 7.91647i | 0.337238 | + | 0.926552i | 0.986174 | + | 0.165710i | \(0.0529917\pi\) |
−0.648937 | + | 0.760842i | \(0.724786\pi\) | |||||||
\(74\) | −4.75729 | + | 5.66952i | −0.553023 | + | 0.659068i | ||||
\(75\) | −6.92617 | − | 5.19887i | −0.799765 | − | 0.600314i | ||||
\(76\) | −0.516415 | + | 4.32820i | −0.0592368 | + | 0.496479i | ||||
\(77\) | −7.61071 | −0.867321 | ||||||||
\(78\) | −2.33632 | + | 2.95006i | −0.264536 | + | 0.334028i | ||||
\(79\) | 1.48419 | + | 4.07778i | 0.166985 | + | 0.458786i | 0.994756 | − | 0.102280i | \(-0.0326137\pi\) |
−0.827771 | + | 0.561066i | \(0.810391\pi\) | |||||||
\(80\) | −0.359713 | + | 2.20695i | −0.0402171 | + | 0.246744i | ||||
\(81\) | 0.551166 | − | 8.98311i | 0.0612406 | − | 0.998123i | ||||
\(82\) | −1.13043 | + | 3.10582i | −0.124835 | + | 0.342981i | ||||
\(83\) | 5.46707 | + | 9.46924i | 0.600089 | + | 1.03938i | 0.992807 | + | 0.119725i | \(0.0382014\pi\) |
−0.392718 | + | 0.919659i | \(0.628465\pi\) | |||||||
\(84\) | −2.70831 | − | 1.46302i | −0.295501 | − | 0.159628i | ||||
\(85\) | −1.59279 | + | 0.603223i | −0.172763 | + | 0.0654287i | ||||
\(86\) | −0.00712264 | + | 0.00597661i | −0.000768054 | + | 0.000644474i | ||||
\(87\) | 1.14523 | − | 2.12002i | 0.122781 | − | 0.227290i | ||||
\(88\) | −2.14120 | − | 3.70867i | −0.228253 | − | 0.395346i | ||||
\(89\) | 4.59546 | + | 1.67261i | 0.487117 | + | 0.177296i | 0.573891 | − | 0.818932i | \(-0.305433\pi\) |
−0.0867734 | + | 0.996228i | \(0.527656\pi\) | |||||||
\(90\) | 6.02864 | + | 2.94203i | 0.635474 | + | 0.310117i | ||||
\(91\) | 3.80258 | − | 0.670498i | 0.398619 | − | 0.0702873i | ||||
\(92\) | 5.99706 | − | 2.18275i | 0.625237 | − | 0.227568i | ||||
\(93\) | −5.39045 | + | 6.80648i | −0.558964 | + | 0.705799i | ||||
\(94\) | 4.72038i | 0.486870i | ||||||||
\(95\) | −7.01850 | + | 6.76318i | −0.720083 | + | 0.693888i | ||||
\(96\) | −0.0490338 | − | 1.73136i | −0.00500450 | − | 0.176706i | ||||
\(97\) | −2.62714 | − | 2.20443i | −0.266746 | − | 0.223826i | 0.499598 | − | 0.866258i | \(-0.333481\pi\) |
−0.766343 | + | 0.642432i | \(0.777926\pi\) | |||||||
\(98\) | −1.31389 | − | 3.60987i | −0.132722 | − | 0.364652i | ||||
\(99\) | −12.5055 | + | 2.94338i | −1.25685 | + | 0.295821i | ||||
\(100\) | −3.74562 | + | 3.31215i | −0.374562 | + | 0.331215i | ||||
\(101\) | 2.96211 | − | 8.13833i | 0.294741 | − | 0.809794i | −0.700616 | − | 0.713539i | \(-0.747091\pi\) |
0.995357 | − | 0.0962551i | \(-0.0306865\pi\) | |||||||
\(102\) | 1.12340 | − | 0.691725i | 0.111234 | − | 0.0684909i | ||||
\(103\) | −0.296628 | + | 0.513775i | −0.0292276 | + | 0.0506237i | −0.880269 | − | 0.474475i | \(-0.842638\pi\) |
0.851042 | + | 0.525098i | \(0.175971\pi\) | |||||||
\(104\) | 1.39655 | + | 1.66435i | 0.136943 | + | 0.163203i | ||||
\(105\) | −2.61904 | − | 6.36533i | −0.255593 | − | 0.621193i | ||||
\(106\) | −0.103753 | + | 0.179705i | −0.0100774 | + | 0.0174545i | ||||
\(107\) | 0.321885 | − | 0.185840i | 0.0311178 | − | 0.0179658i | −0.484360 | − | 0.874869i | \(-0.660948\pi\) |
0.515478 | + | 0.856903i | \(0.327614\pi\) | |||||||
\(108\) | −5.01596 | − | 1.35653i | −0.482661 | − | 0.130533i | ||||
\(109\) | −0.724000 | − | 0.127661i | −0.0693466 | − | 0.0122277i | 0.138867 | − | 0.990311i | \(-0.455654\pi\) |
−0.208214 | + | 0.978083i | \(0.566765\pi\) | |||||||
\(110\) | 1.54044 | − | 9.45103i | 0.146875 | − | 0.901121i | ||||
\(111\) | 11.9169 | − | 4.72360i | 1.13110 | − | 0.448344i | ||||
\(112\) | −1.14237 | + | 1.36142i | −0.107943 | + | 0.128642i | ||||
\(113\) | 3.03444i | 0.285456i | 0.989762 | + | 0.142728i | \(0.0455874\pi\) | ||||
−0.989762 | + | 0.142728i | \(0.954413\pi\) | |||||||
\(114\) | 4.35001 | − | 6.17069i | 0.407415 | − | 0.577938i | ||||
\(115\) | 13.4720 | + | 4.70655i | 1.25627 | + | 0.438888i | ||||
\(116\) | −1.06570 | − | 0.894225i | −0.0989474 | − | 0.0830267i | ||||
\(117\) | 5.98888 | − | 2.57235i | 0.553673 | − | 0.237813i | ||||
\(118\) | −11.8704 | + | 2.09306i | −1.09275 | + | 0.192682i | ||||
\(119\) | −1.33312 | − | 0.235064i | −0.122207 | − | 0.0215483i | ||||
\(120\) | 2.36496 | − | 3.06708i | 0.215890 | − | 0.279985i | ||||
\(121\) | 3.66950 | + | 6.35576i | 0.333591 | + | 0.577796i | ||||
\(122\) | −9.33697 | − | 5.39070i | −0.845330 | − | 0.488051i | ||||
\(123\) | 4.27943 | − | 3.80243i | 0.385863 | − | 0.342853i | ||||
\(124\) | 3.22218 | + | 3.84004i | 0.289360 | + | 0.344846i | ||||
\(125\) | −11.1719 | + | 0.434665i | −0.999244 | + | 0.0388776i | ||||
\(126\) | 2.92286 | + | 4.45904i | 0.260389 | + | 0.397242i | ||||
\(127\) | −19.3431 | − | 7.04033i | −1.71643 | − | 0.624728i | −0.718906 | − | 0.695107i | \(-0.755357\pi\) |
−0.997520 | + | 0.0703789i | \(0.977579\pi\) | |||||||
\(128\) | −0.984808 | − | 0.173648i | −0.0870455 | − | 0.0153485i | ||||
\(129\) | 0.0157743 | − | 0.00324439i | 0.00138885 | − | 0.000285652i | ||||
\(130\) | 0.0629725 | + | 4.85779i | 0.00552305 | + | 0.426056i | ||||
\(131\) | −12.0666 | + | 14.3804i | −1.05426 | + | 1.25642i | −0.0887559 | + | 0.996053i | \(0.528289\pi\) |
−0.965509 | + | 0.260370i | \(0.916155\pi\) | |||||||
\(132\) | 0.209983 | + | 7.41437i | 0.0182767 | + | 0.645338i | ||||
\(133\) | −7.54210 | + | 1.76843i | −0.653983 | + | 0.153342i | ||||
\(134\) | 4.06178i | 0.350884i | ||||||||
\(135\) | −6.76521 | − | 9.44626i | −0.582257 | − | 0.813005i | ||||
\(136\) | −0.260514 | − | 0.715756i | −0.0223389 | − | 0.0613756i | ||||
\(137\) | −0.288585 | − | 1.63665i | −0.0246555 | − | 0.139828i | 0.969995 | − | 0.243124i | \(-0.0781722\pi\) |
−0.994651 | + | 0.103296i | \(0.967061\pi\) | |||||||
\(138\) | −10.9359 | − | 1.61053i | −0.930924 | − | 0.137098i | ||||
\(139\) | −16.6451 | − | 6.05832i | −1.41182 | − | 0.513860i | −0.480156 | − | 0.877183i | \(-0.659420\pi\) |
−0.931663 | + | 0.363323i | \(0.881642\pi\) | |||||||
\(140\) | −3.90430 | + | 0.740739i | −0.329974 | + | 0.0626039i | ||||
\(141\) | 3.88589 | − | 7.19347i | 0.327251 | − | 0.605799i | ||||
\(142\) | 8.91299 | + | 10.6221i | 0.747961 | + | 0.891386i | ||||
\(143\) | −5.98061 | − | 7.12741i | −0.500123 | − | 0.596024i | ||||
\(144\) | −1.35055 | + | 2.67881i | −0.112546 | + | 0.223234i | ||||
\(145\) | −0.579839 | − | 3.05623i | −0.0481530 | − | 0.253806i | ||||
\(146\) | −7.91647 | − | 2.88136i | −0.655172 | − | 0.238463i | ||||
\(147\) | −0.969444 | + | 6.58275i | −0.0799584 | + | 0.542936i | ||||
\(148\) | −1.28517 | − | 7.28859i | −0.105641 | − | 0.599118i | ||||
\(149\) | 4.87268 | + | 13.3876i | 0.399185 | + | 1.09675i | 0.962682 | + | 0.270634i | \(0.0872334\pi\) |
−0.563497 | + | 0.826118i | \(0.690544\pi\) | |||||||
\(150\) | 8.43462 | − | 1.96398i | 0.688684 | − | 0.160358i | ||||
\(151\) | 22.1194i | 1.80005i | 0.435841 | + | 0.900024i | \(0.356451\pi\) | ||||
−0.435841 | + | 0.900024i | \(0.643549\pi\) | |||||||
\(152\) | −2.98365 | − | 3.17771i | −0.242006 | − | 0.257746i | ||||
\(153\) | −2.28141 | + | 0.129328i | −0.184441 | + | 0.0104555i | ||||
\(154\) | 4.89207 | − | 5.83014i | 0.394214 | − | 0.469806i | ||||
\(155\) | 0.145292 | + | 11.2081i | 0.0116702 | + | 0.900254i | ||||
\(156\) | −0.758116 | − | 3.68599i | −0.0606978 | − | 0.295115i | ||||
\(157\) | −14.9429 | − | 2.63483i | −1.19257 | − | 0.210283i | −0.458087 | − | 0.888907i | \(-0.651465\pi\) |
−0.734485 | + | 0.678625i | \(0.762576\pi\) | |||||||
\(158\) | −4.07778 | − | 1.48419i | −0.324411 | − | 0.118076i | ||||
\(159\) | 0.306046 | − | 0.188445i | 0.0242710 | − | 0.0149446i | ||||
\(160\) | −1.45940 | − | 1.69415i | −0.115376 | − | 0.133935i | ||||
\(161\) | 7.29050 | + | 8.68848i | 0.574572 | + | 0.684748i | ||||
\(162\) | 6.52718 | + | 6.19645i | 0.512823 | + | 0.486839i | ||||
\(163\) | 17.8199 | + | 10.2883i | 1.39576 | + | 0.805842i | 0.993945 | − | 0.109879i | \(-0.0350463\pi\) |
0.401815 | + | 0.915721i | \(0.368380\pi\) | |||||||
\(164\) | −1.65257 | − | 2.86234i | −0.129044 | − | 0.223511i | ||||
\(165\) | −10.1277 | + | 13.1345i | −0.788442 | + | 1.02252i | ||||
\(166\) | −10.7680 | − | 1.89869i | −0.835761 | − | 0.147367i | ||||
\(167\) | −23.0744 | + | 4.06863i | −1.78555 | + | 0.314840i | −0.966072 | − | 0.258272i | \(-0.916847\pi\) |
−0.819476 | + | 0.573113i | \(0.805736\pi\) | |||||||
\(168\) | 2.86161 | − | 1.13428i | 0.220778 | − | 0.0875112i | ||||
\(169\) | −6.34253 | − | 5.32202i | −0.487887 | − | 0.409386i | ||||
\(170\) | 0.561732 | − | 1.60789i | 0.0430829 | − | 0.123320i | ||||
\(171\) | −11.7088 | + | 5.82263i | −0.895398 | + | 0.445268i | ||||
\(172\) | − | 0.00929795i | − | 0.000708962i | ||||||
\(173\) | 14.5800 | − | 17.3758i | 1.10850 | − | 1.32105i | 0.166269 | − | 0.986080i | \(-0.446828\pi\) |
0.942227 | − | 0.334974i | \(-0.108728\pi\) | |||||||
\(174\) | 0.887893 | + | 2.24002i | 0.0673110 | + | 0.169815i | ||||
\(175\) | −7.80811 | − | 4.24203i | −0.590237 | − | 0.320668i | ||||
\(176\) | 4.21735 | + | 0.743632i | 0.317894 | + | 0.0560534i | ||||
\(177\) | 19.8125 | + | 6.58219i | 1.48920 | + | 0.494747i | ||||
\(178\) | −4.23519 | + | 2.44519i | −0.317441 | + | 0.183275i | ||||
\(179\) | −9.33334 | + | 16.1658i | −0.697606 | + | 1.20829i | 0.271688 | + | 0.962385i | \(0.412418\pi\) |
−0.969294 | + | 0.245904i | \(0.920915\pi\) | |||||||
\(180\) | −6.12886 | + | 2.72710i | −0.456818 | + | 0.203266i | ||||
\(181\) | −8.85324 | − | 10.5509i | −0.658056 | − | 0.784241i | 0.329049 | − | 0.944313i | \(-0.393272\pi\) |
−0.987105 | + | 0.160072i | \(0.948827\pi\) | |||||||
\(182\) | −1.93062 | + | 3.34394i | −0.143107 | + | 0.247869i | ||||
\(183\) | 9.79105 | + | 15.9013i | 0.723776 | + | 1.17546i | ||||
\(184\) | −2.18275 | + | 5.99706i | −0.160915 | + | 0.442109i | ||||
\(185\) | 8.08813 | − | 14.4381i | 0.594651 | − | 1.06151i | ||||
\(186\) | −1.74915 | − | 8.50445i | −0.128254 | − | 0.623576i | ||||
\(187\) | 1.11563 | + | 3.06516i | 0.0815826 | + | 0.224146i | ||||
\(188\) | −3.61602 | − | 3.03420i | −0.263726 | − | 0.221292i | ||||
\(189\) | −0.783450 | − | 9.20133i | −0.0569876 | − | 0.669298i | ||||
\(190\) | −0.669495 | − | 9.72377i | −0.0485702 | − | 0.705437i | ||||
\(191\) | − | 5.95196i | − | 0.430669i | −0.976540 | − | 0.215334i | \(-0.930916\pi\) | ||
0.976540 | − | 0.215334i | \(-0.0690841\pi\) | |||||||
\(192\) | 1.35781 | + | 1.07533i | 0.0979918 | + | 0.0776054i | ||||
\(193\) | 14.6660 | − | 5.33800i | 1.05568 | − | 0.384238i | 0.244879 | − | 0.969554i | \(-0.421252\pi\) |
0.810805 | + | 0.585316i | \(0.199029\pi\) | |||||||
\(194\) | 3.37738 | − | 0.595524i | 0.242482 | − | 0.0427561i | ||||
\(195\) | 3.90303 | − | 7.45470i | 0.279502 | − | 0.533842i | ||||
\(196\) | 3.60987 | + | 1.31389i | 0.257848 | + | 0.0938490i | ||||
\(197\) | 3.69707 | + | 6.40351i | 0.263405 | + | 0.456231i | 0.967145 | − | 0.254227i | \(-0.0818211\pi\) |
−0.703740 | + | 0.710458i | \(0.748488\pi\) | |||||||
\(198\) | 5.78362 | − | 11.4717i | 0.411024 | − | 0.815261i | ||||
\(199\) | −4.62609 | + | 3.88175i | −0.327935 | + | 0.275170i | −0.791858 | − | 0.610706i | \(-0.790886\pi\) |
0.463923 | + | 0.885876i | \(0.346441\pi\) | |||||||
\(200\) | −0.129610 | − | 4.99832i | −0.00916483 | − | 0.353435i | ||||
\(201\) | 3.34371 | − | 6.18980i | 0.235847 | − | 0.436595i | ||||
\(202\) | 4.33031 | + | 7.50032i | 0.304680 | + | 0.527721i | ||||
\(203\) | 0.845607 | − | 2.32329i | 0.0593500 | − | 0.163063i | ||||
\(204\) | −0.192219 | + | 1.30521i | −0.0134580 | + | 0.0913830i | ||||
\(205\) | 1.18890 | − | 7.29428i | 0.0830366 | − | 0.509454i | ||||
\(206\) | −0.202906 | − | 0.557478i | −0.0141371 | − | 0.0388414i | ||||
\(207\) | 15.3396 | + | 11.4569i | 1.06617 | + | 0.796309i | ||||
\(208\) | −2.17265 | −0.150646 | ||||||||
\(209\) | 12.7772 | + | 13.6082i | 0.883817 | + | 0.941302i | ||||
\(210\) | 6.55962 | + | 2.08525i | 0.452657 | + | 0.143896i | ||||
\(211\) | 6.34031 | − | 7.55609i | 0.436485 | − | 0.520183i | −0.502297 | − | 0.864695i | \(-0.667511\pi\) |
0.938782 | + | 0.344513i | \(0.111956\pi\) | |||||||
\(212\) | −0.0709710 | − | 0.194991i | −0.00487431 | − | 0.0133921i | ||||
\(213\) | −4.83840 | − | 23.5245i | −0.331521 | − | 1.61187i | ||||
\(214\) | −0.0645416 | + | 0.366034i | −0.00441197 | + | 0.0250215i | ||||
\(215\) | 0.0131565 | − | 0.0160986i | 0.000897268 | − | 0.00109792i | ||||
\(216\) | 4.26336 | − | 2.97048i | 0.290085 | − | 0.202116i | ||||
\(217\) | −4.45441 | + | 7.71526i | −0.302385 | + | 0.523746i | ||||
\(218\) | 0.563172 | − | 0.472558i | 0.0381428 | − | 0.0320056i | ||||
\(219\) | 9.69206 | + | 10.9079i | 0.654928 | + | 0.737087i | ||||
\(220\) | 6.24974 | + | 7.25505i | 0.421357 | + | 0.489135i | ||||
\(221\) | −0.827445 | − | 1.43318i | −0.0556600 | − | 0.0964059i | ||||
\(222\) | −4.04157 | + | 12.1652i | −0.271252 | + | 0.816473i | ||||
\(223\) | −2.25169 | + | 12.7700i | −0.150784 | + | 0.855140i | 0.811755 | + | 0.583998i | \(0.198512\pi\) |
−0.962539 | + | 0.271142i | \(0.912599\pi\) | |||||||
\(224\) | −0.308608 | − | 1.75020i | −0.0206198 | − | 0.116940i | ||||
\(225\) | −14.4704 | − | 3.95055i | −0.964695 | − | 0.263370i | ||||
\(226\) | −2.32451 | − | 1.95050i | −0.154624 | − | 0.129745i | ||||
\(227\) | − | 9.21420i | − | 0.611568i | −0.952101 | − | 0.305784i | \(-0.901081\pi\) | ||
0.952101 | − | 0.305784i | \(-0.0989185\pi\) | |||||||
\(228\) | 1.93089 | + | 7.29874i | 0.127877 | + | 0.483371i | ||||
\(229\) | 25.2683 | 1.66978 | 0.834888 | − | 0.550419i | \(-0.185532\pi\) | ||||
0.834888 | + | 0.550419i | \(0.185532\pi\) | |||||||
\(230\) | −12.2650 | + | 7.29482i | −0.808733 | + | 0.481006i | ||||
\(231\) | −12.2546 | + | 4.85743i | −0.806291 | + | 0.319595i | ||||
\(232\) | 1.37003 | − | 0.241574i | 0.0899470 | − | 0.0158601i | ||||
\(233\) | −0.839783 | + | 4.76264i | −0.0550160 | + | 0.312011i | −0.999881 | − | 0.0154499i | \(-0.995082\pi\) |
0.944865 | + | 0.327461i | \(0.106193\pi\) | |||||||
\(234\) | −1.87905 | + | 6.24122i | −0.122837 | + | 0.408002i | ||||
\(235\) | −1.96746 | − | 10.3701i | −0.128343 | − | 0.676472i | ||||
\(236\) | 6.02674 | − | 10.4386i | 0.392307 | − | 0.679496i | ||||
\(237\) | 4.99239 | + | 5.61867i | 0.324290 | + | 0.364972i | ||||
\(238\) | 1.03698 | − | 0.870130i | 0.0672174 | − | 0.0564021i | ||||
\(239\) | −18.3835 | − | 10.6137i | −1.18913 | − | 0.686546i | −0.231023 | − | 0.972948i | \(-0.574207\pi\) |
−0.958109 | + | 0.286402i | \(0.907541\pi\) | |||||||
\(240\) | 0.829351 | + | 3.78314i | 0.0535344 | + | 0.244201i | ||||
\(241\) | −6.62459 | + | 18.2009i | −0.426728 | + | 1.17242i | 0.521060 | + | 0.853520i | \(0.325537\pi\) |
−0.947787 | + | 0.318904i | \(0.896685\pi\) | |||||||
\(242\) | −7.22750 | − | 1.27440i | −0.464601 | − | 0.0819218i | ||||
\(243\) | −4.84587 | − | 14.8161i | −0.310863 | − | 0.950455i | ||||
\(244\) | 10.1312 | − | 3.68746i | 0.648584 | − | 0.236065i | ||||
\(245\) | 4.39104 | + | 7.38282i | 0.280533 | + | 0.471671i | ||||
\(246\) | 0.162064 | + | 5.72239i | 0.0103328 | + | 0.364846i | ||||
\(247\) | −7.58282 | − | 5.67350i | −0.482483 | − | 0.360996i | ||||
\(248\) | −5.01282 | −0.318315 | ||||||||
\(249\) | 14.8465 | + | 11.7578i | 0.940860 | + | 0.745122i | ||||
\(250\) | 6.84818 | − | 8.83756i | 0.433117 | − | 0.558936i | ||||
\(251\) | −3.79741 | + | 0.669586i | −0.239690 | + | 0.0422639i | −0.292203 | − | 0.956356i | \(-0.594388\pi\) |
0.0525124 | + | 0.998620i | \(0.483277\pi\) | |||||||
\(252\) | −5.29460 | − | 0.627173i | −0.333528 | − | 0.0395082i | ||||
\(253\) | 9.34743 | − | 25.6818i | 0.587668 | − | 1.61460i | ||||
\(254\) | 17.8267 | − | 10.2923i | 1.11855 | − | 0.645795i | ||||
\(255\) | −2.17967 | + | 1.98787i | −0.136496 | + | 0.124485i | ||||
\(256\) | 0.766044 | − | 0.642788i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | −2.41397 | − | 2.87686i | −0.150579 | − | 0.179453i | 0.685482 | − | 0.728090i | \(-0.259592\pi\) |
−0.836061 | + | 0.548636i | \(0.815147\pi\) | |||||||
\(258\) | −0.00765420 | + | 0.0141693i | −0.000476530 | + | 0.000882141i | ||||
\(259\) | 11.3910 | − | 6.57657i | 0.707799 | − | 0.408648i | ||||
\(260\) | −3.76176 | − | 3.07429i | −0.233294 | − | 0.190659i | ||||
\(261\) | 0.490941 | − | 4.14453i | 0.0303885 | − | 0.256540i | ||||
\(262\) | −3.25978 | − | 18.4871i | −0.201390 | − | 1.14214i | ||||
\(263\) | −14.2813 | + | 5.19798i | −0.880625 | + | 0.320521i | −0.742462 | − | 0.669888i | \(-0.766342\pi\) |
−0.138163 | + | 0.990410i | \(0.544120\pi\) | |||||||
\(264\) | −5.81471 | − | 4.60501i | −0.357871 | − | 0.283419i | ||||
\(265\) | 0.153031 | − | 0.438034i | 0.00940062 | − | 0.0269082i | ||||
\(266\) | 3.49328 | − | 6.91431i | 0.214187 | − | 0.423943i | ||||
\(267\) | 8.46699 | − | 0.239794i | 0.518172 | − | 0.0146752i | ||||
\(268\) | −3.11150 | − | 2.61086i | −0.190065 | − | 0.159484i | ||||
\(269\) | 7.56447 | − | 2.75324i | 0.461214 | − | 0.167868i | −0.100954 | − | 0.994891i | \(-0.532190\pi\) |
0.562168 | + | 0.827023i | \(0.309967\pi\) | |||||||
\(270\) | 11.5849 | + | 0.889489i | 0.705032 | + | 0.0541326i | ||||
\(271\) | 5.24820 | − | 29.7640i | 0.318805 | − | 1.80803i | −0.231237 | − | 0.972897i | \(-0.574277\pi\) |
0.550042 | − | 0.835137i | \(-0.314612\pi\) | |||||||
\(272\) | 0.715756 | + | 0.260514i | 0.0433991 | + | 0.0157960i | ||||
\(273\) | 5.69488 | − | 3.50656i | 0.344670 | − | 0.212227i | ||||
\(274\) | 1.43924 | + | 0.830947i | 0.0869478 | + | 0.0501993i | ||||
\(275\) | 0.555044 | + | 21.4048i | 0.0334704 | + | 1.29076i | ||||
\(276\) | 8.26319 | − | 7.34214i | 0.497386 | − | 0.441945i | ||||
\(277\) | 16.8444 | + | 9.72509i | 1.01208 | + | 0.584324i | 0.911800 | − | 0.410635i | \(-0.134693\pi\) |
0.100279 | + | 0.994959i | \(0.468026\pi\) | |||||||
\(278\) | 15.3402 | − | 8.85667i | 0.920045 | − | 0.531188i | ||||
\(279\) | −4.33542 | + | 14.4000i | −0.259555 | + | 0.862105i | ||||
\(280\) | 1.94220 | − | 3.46701i | 0.116069 | − | 0.207193i | ||||
\(281\) | 3.16143 | + | 17.9294i | 0.188595 | + | 1.06958i | 0.921249 | + | 0.388974i | \(0.127170\pi\) |
−0.732654 | + | 0.680602i | \(0.761719\pi\) | |||||||
\(282\) | 3.01272 | + | 7.60063i | 0.179405 | + | 0.452611i | ||||
\(283\) | 12.6817 | − | 15.1135i | 0.753850 | − | 0.898403i | −0.243592 | − | 0.969878i | \(-0.578326\pi\) |
0.997442 | + | 0.0714743i | \(0.0227704\pi\) | |||||||
\(284\) | −13.8661 | −0.822805 | ||||||||
\(285\) | −6.98449 | + | 15.3693i | −0.413726 | + | 0.910402i | ||||
\(286\) | 9.30417 | 0.550167 | ||||||||
\(287\) | 3.77568 | − | 4.49968i | 0.222872 | − | 0.265608i | ||||
\(288\) | −1.18397 | − | 2.75649i | −0.0697659 | − | 0.162428i | ||||
\(289\) | −2.85127 | − | 16.1704i | −0.167722 | − | 0.951198i | ||||
\(290\) | 2.71392 | + | 1.52032i | 0.159367 | + | 0.0892764i | ||||
\(291\) | −5.63709 | − | 1.87278i | −0.330452 | − | 0.109784i | ||||
\(292\) | 7.29586 | − | 4.21226i | 0.426958 | − | 0.246504i | ||||
\(293\) | 12.9559 | + | 7.48008i | 0.756890 | + | 0.436991i | 0.828178 | − | 0.560465i | \(-0.189378\pi\) |
−0.0712879 | + | 0.997456i | \(0.522711\pi\) | |||||||
\(294\) | −4.41953 | − | 4.97395i | −0.257752 | − | 0.290086i | ||||
\(295\) | 25.2053 | − | 9.54578i | 1.46751 | − | 0.555777i | ||||
\(296\) | 6.40948 | + | 3.70051i | 0.372543 | + | 0.215088i | ||||
\(297\) | −18.2574 | + | 12.7208i | −1.05940 | + | 0.738136i | ||||
\(298\) | −13.3876 | − | 4.87268i | −0.775521 | − | 0.282267i | ||||
\(299\) | −2.40776 | + | 13.6551i | −0.139244 | + | 0.789693i | ||||
\(300\) | −3.91717 | + | 7.72372i | −0.226158 | + | 0.445929i | ||||
\(301\) | 0.0155278 | − | 0.00565166i | 0.000895008 | − | 0.000325756i | ||||
\(302\) | −16.9444 | − | 14.2180i | −0.975041 | − | 0.818157i | ||||
\(303\) | −0.424664 | − | 14.9946i | −0.0243963 | − | 0.861419i | ||||
\(304\) | 4.35212 | − | 0.243015i | 0.249611 | − | 0.0139379i | ||||
\(305\) | 22.7590 | + | 7.95107i | 1.30318 | + | 0.455277i | ||||
\(306\) | 1.36739 | − | 1.83079i | 0.0781686 | − | 0.104659i | ||||
\(307\) | 13.1823 | − | 4.79797i | 0.752354 | − | 0.273835i | 0.0627582 | − | 0.998029i | \(-0.480010\pi\) |
0.689596 | + | 0.724194i | \(0.257788\pi\) | |||||||
\(308\) | 1.32159 | + | 7.49509i | 0.0753043 | + | 0.427072i | ||||
\(309\) | −0.149713 | + | 1.01658i | −0.00851687 | + | 0.0578315i | ||||
\(310\) | −8.67927 | − | 7.09311i | −0.492950 | − | 0.402861i | ||||
\(311\) | 0.786255 | − | 0.453945i | 0.0445844 | − | 0.0257408i | −0.477542 | − | 0.878609i | \(-0.658472\pi\) |
0.522127 | + | 0.852868i | \(0.325139\pi\) | |||||||
\(312\) | 3.31094 | + | 1.78856i | 0.187445 | + | 0.101257i | ||||
\(313\) | 5.20150 | + | 6.19891i | 0.294006 | + | 0.350383i | 0.892746 | − | 0.450561i | \(-0.148776\pi\) |
−0.598739 | + | 0.800944i | \(0.704331\pi\) | |||||||
\(314\) | 11.6235 | − | 9.75328i | 0.655952 | − | 0.550409i | ||||
\(315\) | −8.27969 | − | 8.57771i | −0.466508 | − | 0.483299i | ||||
\(316\) | 3.75810 | − | 2.16974i | 0.211410 | − | 0.122058i | ||||
\(317\) | 10.0330 | − | 27.5654i | 0.563508 | − | 1.54822i | −0.250949 | − | 0.968000i | \(-0.580743\pi\) |
0.814457 | − | 0.580225i | \(-0.197035\pi\) | |||||||
\(318\) | −0.0523656 | + | 0.355575i | −0.00293652 | + | 0.0199396i | ||||
\(319\) | −5.86704 | + | 1.03452i | −0.328491 | + | 0.0579218i | ||||
\(320\) | 2.23588 | − | 0.0289842i | 0.124989 | − | 0.00162026i | ||||
\(321\) | 0.399680 | − | 0.504673i | 0.0223080 | − | 0.0281681i | ||||
\(322\) | −11.3420 | −0.632065 | ||||||||
\(323\) | 1.81779 | + | 2.77830i | 0.101145 | + | 0.154589i | ||||
\(324\) | −8.94234 | + | 1.01711i | −0.496797 | + | 0.0565060i | ||||
\(325\) | −2.16307 | − | 10.6457i | −0.119986 | − | 0.590518i | ||||
\(326\) | −19.3357 | + | 7.03762i | −1.07090 | + | 0.389777i | ||||
\(327\) | −1.24724 | + | 0.256527i | −0.0689727 | + | 0.0141860i | ||||
\(328\) | 3.25493 | + | 0.573933i | 0.179724 | + | 0.0316901i | ||||
\(329\) | 2.86924 | − | 7.88316i | 0.158186 | − | 0.434613i | ||||
\(330\) | −3.55162 | − | 16.2010i | −0.195510 | − | 0.891833i | ||||
\(331\) | −10.3520 | − | 5.97673i | −0.568998 | − | 0.328511i | 0.187751 | − | 0.982217i | \(-0.439880\pi\) |
−0.756749 | + | 0.653706i | \(0.773213\pi\) | |||||||
\(332\) | 8.37603 | − | 7.02833i | 0.459695 | − | 0.385730i | ||||
\(333\) | 16.1735 | − | 15.2116i | 0.886305 | − | 0.833591i | ||||
\(334\) | 11.7152 | − | 20.2913i | 0.641025 | − | 1.11029i | ||||
\(335\) | −1.69295 | − | 8.92323i | −0.0924957 | − | 0.487528i | ||||
\(336\) | −0.970500 | + | 2.92122i | −0.0529451 | + | 0.159365i | ||||
\(337\) | −3.44453 | + | 19.5349i | −0.187636 | + | 1.06413i | 0.734887 | + | 0.678190i | \(0.237235\pi\) |
−0.922522 | + | 0.385944i | \(0.873876\pi\) | |||||||
\(338\) | 8.15380 | − | 1.43774i | 0.443508 | − | 0.0782025i | ||||
\(339\) | 1.93669 | + | 4.88597i | 0.105186 | + | 0.265369i | ||||
\(340\) | 0.870645 | + | 1.46385i | 0.0472173 | + | 0.0793882i | ||||
\(341\) | 21.4669 | 1.16250 | ||||||||
\(342\) | 3.06590 | − | 12.7122i | 0.165785 | − | 0.687397i | ||||
\(343\) | 19.2676i | 1.04035i | ||||||||
\(344\) | 0.00712264 | + | 0.00597661i | 0.000384027 | + | 0.000322237i | ||||
\(345\) | 24.6961 | − | 1.01993i | 1.32959 | − | 0.0549114i | ||||
\(346\) | 3.93876 | + | 22.3378i | 0.211749 | + | 1.20089i | ||||
\(347\) | −5.53827 | + | 31.4091i | −0.297310 | + | 1.68613i | 0.360354 | + | 0.932815i | \(0.382656\pi\) |
−0.657664 | + | 0.753311i | \(0.728455\pi\) | |||||||
\(348\) | −2.28668 | − | 0.759692i | −0.122579 | − | 0.0407237i | ||||
\(349\) | −5.09466 | − | 8.82421i | −0.272711 | − | 0.472349i | 0.696844 | − | 0.717223i | \(-0.254587\pi\) |
−0.969555 | + | 0.244874i | \(0.921254\pi\) | |||||||
\(350\) | 8.26854 | − | 3.25463i | 0.441972 | − | 0.173967i | ||||
\(351\) | 8.00137 | − | 7.96424i | 0.427082 | − | 0.425100i | ||||
\(352\) | −3.28051 | + | 2.75268i | −0.174852 | + | 0.146718i | ||||
\(353\) | −9.43899 | + | 16.3488i | −0.502387 | + | 0.870159i | 0.497610 | + | 0.867401i | \(0.334211\pi\) |
−0.999996 | + | 0.00275791i | \(0.999122\pi\) | |||||||
\(354\) | −17.7775 | + | 10.9463i | −0.944861 | + | 0.581788i | ||||
\(355\) | −24.0080 | − | 19.6205i | −1.27421 | − | 1.04135i | ||||
\(356\) | 0.849206 | − | 4.81609i | 0.0450078 | − | 0.255252i | ||||
\(357\) | −2.29657 | + | 0.472348i | −0.121548 | + | 0.0249993i | ||||
\(358\) | −6.38438 | − | 17.5409i | −0.337425 | − | 0.927067i | ||||
\(359\) | −5.06268 | + | 6.03347i | −0.267198 | + | 0.318434i | −0.882915 | − | 0.469533i | \(-0.844422\pi\) |
0.615717 | + | 0.787968i | \(0.288867\pi\) | |||||||
\(360\) | 1.85047 | − | 6.44793i | 0.0975286 | − | 0.339836i | ||||
\(361\) | 15.8240 | + | 10.5167i | 0.832844 | + | 0.553508i | ||||
\(362\) | 13.7732 | 0.723903 | ||||||||
\(363\) | 9.96500 | + | 7.89186i | 0.523027 | + | 0.414215i | ||||
\(364\) | −1.32062 | − | 3.62838i | −0.0692195 | − | 0.190179i | ||||
\(365\) | 18.5925 | + | 3.03041i | 0.973175 | + | 0.158619i | ||||
\(366\) | −18.4747 | − | 2.72077i | −0.965686 | − | 0.142217i | ||||
\(367\) | 10.9918 | − | 30.1996i | 0.573765 | − | 1.57641i | −0.224741 | − | 0.974419i | \(-0.572154\pi\) |
0.798506 | − | 0.601987i | \(-0.205624\pi\) | |||||||
\(368\) | −3.19097 | − | 5.52692i | −0.166341 | − | 0.288111i | ||||
\(369\) | 4.46378 | − | 8.85385i | 0.232375 | − | 0.460913i | ||||
\(370\) | 5.86126 | + | 15.4765i | 0.304712 | + | 0.804584i | ||||
\(371\) | 0.282501 | − | 0.237047i | 0.0146667 | − | 0.0123069i | ||||
\(372\) | 7.63912 | + | 4.12662i | 0.396070 | + | 0.213956i | ||||
\(373\) | 4.80246 | + | 8.31810i | 0.248662 | + | 0.430695i | 0.963155 | − | 0.268948i | \(-0.0866759\pi\) |
−0.714493 | + | 0.699643i | \(0.753343\pi\) | |||||||
\(374\) | −3.06516 | − | 1.11563i | −0.158495 | − | 0.0576876i | ||||
\(375\) | −17.7112 | + | 7.83018i | −0.914605 | + | 0.404349i | ||||
\(376\) | 4.64867 | − | 0.819686i | 0.239737 | − | 0.0422721i | ||||
\(377\) | 2.84024 | − | 1.03376i | 0.146280 | − | 0.0532415i | ||||
\(378\) | 7.55222 | + | 5.31434i | 0.388444 | + | 0.273340i | ||||
\(379\) | 10.2857i | 0.528342i | 0.964476 | + | 0.264171i | \(0.0850984\pi\) | ||||
−0.964476 | + | 0.264171i | \(0.914902\pi\) | |||||||
\(380\) | 7.87919 | + | 5.73746i | 0.404194 | + | 0.294325i | ||||
\(381\) | −35.6392 | + | 1.00934i | −1.82585 | + | 0.0517100i | ||||
\(382\) | 4.55946 | + | 3.82585i | 0.233282 | + | 0.195747i | ||||
\(383\) | 10.2712 | + | 28.2199i | 0.524834 | + | 1.44197i | 0.865080 | + | 0.501634i | \(0.167268\pi\) |
−0.340246 | + | 0.940337i | \(0.610510\pi\) | |||||||
\(384\) | −1.69654 | + | 0.348936i | −0.0865761 | + | 0.0178066i | ||||
\(385\) | −8.31728 | + | 14.8471i | −0.423888 | + | 0.756680i | ||||
\(386\) | −5.33800 | + | 14.6660i | −0.271697 | + | 0.746482i | ||||
\(387\) | 0.0233287 | − | 0.0152918i | 0.00118586 | − | 0.000777324i | ||||
\(388\) | −1.71474 | + | 2.97002i | −0.0870529 | + | 0.150780i | ||||
\(389\) | −7.40884 | − | 8.82951i | −0.375643 | − | 0.447674i | 0.544791 | − | 0.838572i | \(-0.316609\pi\) |
−0.920434 | + | 0.390898i | \(0.872165\pi\) | |||||||
\(390\) | 3.20181 | + | 7.78168i | 0.162130 | + | 0.394041i | ||||
\(391\) | 2.43053 | − | 4.20981i | 0.122917 | − | 0.212899i | ||||
\(392\) | −3.32687 | + | 1.92077i | −0.168033 | + | 0.0970136i | ||||
\(393\) | −10.2512 | + | 30.8563i | −0.517106 | + | 1.55649i | ||||
\(394\) | −7.28180 | − | 1.28398i | −0.366852 | − | 0.0646858i | ||||
\(395\) | 9.57700 | + | 1.56097i | 0.481871 | + | 0.0785408i | ||||
\(396\) | 5.07022 | + | 11.8044i | 0.254788 | + | 0.593193i | ||||
\(397\) | −20.7497 | + | 24.7285i | −1.04140 | + | 1.24109i | −0.0715325 | + | 0.997438i | \(0.522789\pi\) |
−0.969863 | + | 0.243649i | \(0.921655\pi\) | |||||||
\(398\) | − | 6.03893i | − | 0.302704i | ||||||
\(399\) | −11.0154 | + | 7.66111i | −0.551461 | + | 0.383535i | ||||
\(400\) | 3.91225 | + | 3.11357i | 0.195612 | + | 0.155679i | ||||
\(401\) | −1.26880 | − | 1.06465i | −0.0633608 | − | 0.0531660i | 0.610557 | − | 0.791972i | \(-0.290946\pi\) |
−0.673918 | + | 0.738806i | \(0.735390\pi\) | |||||||
\(402\) | 2.59237 | + | 6.54016i | 0.129296 | + | 0.326193i | ||||
\(403\) | −10.7257 | + | 1.89122i | −0.534283 | + | 0.0942085i | ||||
\(404\) | −8.52905 | − | 1.50390i | −0.424336 | − | 0.0748219i | ||||
\(405\) | −16.9221 | − | 10.8923i | −0.840866 | − | 0.541244i | ||||
\(406\) | 1.23619 | + | 2.14115i | 0.0613513 | + | 0.106264i | ||||
\(407\) | −27.4480 | − | 15.8471i | −1.36055 | − | 0.785511i | ||||
\(408\) | −0.876293 | − | 0.986221i | −0.0433830 | − | 0.0488252i | ||||
\(409\) | −5.05226 | − | 6.02104i | −0.249818 | − | 0.297721i | 0.626533 | − | 0.779395i | \(-0.284473\pi\) |
−0.876351 | + | 0.481674i | \(0.840029\pi\) | |||||||
\(410\) | 4.82353 | + | 5.59942i | 0.238217 | + | 0.276536i | ||||
\(411\) | −1.50924 | − | 2.45110i | −0.0744452 | − | 0.120904i | ||||
\(412\) | 0.557478 | + | 0.202906i | 0.0274650 | + | 0.00999644i | ||||
\(413\) | 21.0960 | + | 3.71980i | 1.03807 | + | 0.183040i | ||||
\(414\) | −18.6366 | + | 4.38643i | −0.915937 | + | 0.215581i | ||||
\(415\) | 24.4474 | − | 0.316917i | 1.20008 | − | 0.0155568i | ||||
\(416\) | 1.39655 | − | 1.66435i | 0.0684716 | − | 0.0816013i | ||||
\(417\) | −30.6681 | + | 0.868554i | −1.50182 | + | 0.0425333i | ||||
\(418\) | −18.6375 | + | 1.04069i | −0.911592 | + | 0.0509017i | ||||
\(419\) | − | 20.7310i | − | 1.01277i | −0.862306 | − | 0.506387i | \(-0.830981\pi\) | ||
0.862306 | − | 0.506387i | \(-0.169019\pi\) | |||||||
\(420\) | −5.81384 | + | 3.68458i | −0.283686 | + | 0.179789i | ||||
\(421\) | −9.31585 | − | 25.5951i | −0.454027 | − | 1.24743i | −0.929867 | − | 0.367896i | \(-0.880078\pi\) |
0.475840 | − | 0.879532i | \(-0.342144\pi\) | |||||||
\(422\) | 1.71283 | + | 9.71392i | 0.0833791 | + | 0.472866i | ||||
\(423\) | 1.66582 | − | 14.0628i | 0.0809949 | − | 0.683758i | ||||
\(424\) | 0.194991 | + | 0.0709710i | 0.00946961 | + | 0.00344666i | ||||
\(425\) | −0.563886 | + | 3.76648i | −0.0273525 | + | 0.182701i | ||||
\(426\) | 21.1308 | + | 11.4148i | 1.02379 | + | 0.553049i | ||||
\(427\) | 12.3163 | + | 14.6780i | 0.596027 | + | 0.710318i | ||||
\(428\) | −0.238912 | − | 0.284724i | −0.0115482 | − | 0.0137626i | ||||
\(429\) | −14.1788 | − | 7.65932i | −0.684558 | − | 0.369796i | ||||
\(430\) | 0.00387539 | + | 0.0204265i | 0.000186888 | + | 0.000985052i | ||||
\(431\) | −30.6120 | − | 11.1419i | −1.47453 | − | 0.536684i | −0.525202 | − | 0.850977i | \(-0.676010\pi\) |
−0.949326 | + | 0.314293i | \(0.898233\pi\) | |||||||
\(432\) | −0.464914 | + | 5.17531i | −0.0223682 | + | 0.248997i | ||||
\(433\) | −5.99363 | − | 33.9916i | −0.288035 | − | 1.63353i | −0.694237 | − | 0.719747i | \(-0.744258\pi\) |
0.406201 | − | 0.913784i | \(-0.366853\pi\) | |||||||
\(434\) | −3.04699 | − | 8.37154i | −0.146260 | − | 0.401847i | ||||
\(435\) | −2.88423 | − | 4.55098i | −0.138288 | − | 0.218203i | ||||
\(436\) | 0.735169i | 0.0352082i | ||||||||
\(437\) | 3.29573 | − | 27.6223i | 0.157656 | − | 1.32135i | ||||
\(438\) | −14.5859 | + | 0.413087i | −0.696940 | + | 0.0197381i | ||||
\(439\) | −4.60712 | + | 5.49056i | −0.219886 | + | 0.262050i | −0.864699 | − | 0.502290i | \(-0.832491\pi\) |
0.644813 | + | 0.764340i | \(0.276935\pi\) | |||||||
\(440\) | −9.57495 | + | 0.124122i | −0.456468 | + | 0.00591728i | ||||
\(441\) | 2.64037 | + | 11.2181i | 0.125732 | + | 0.534195i | ||||
\(442\) | 1.62975 | + | 0.287369i | 0.0775192 | + | 0.0136687i | ||||
\(443\) | −33.3331 | − | 12.1323i | −1.58370 | − | 0.576421i | −0.607698 | − | 0.794168i | \(-0.707907\pi\) |
−0.976005 | + | 0.217747i | \(0.930129\pi\) | |||||||
\(444\) | −6.72119 | − | 10.9156i | −0.318974 | − | 0.518033i | ||||
\(445\) | 8.28505 | − | 7.13702i | 0.392749 | − | 0.338327i | ||||
\(446\) | −8.33500 | − | 9.93327i | −0.394674 | − | 0.470354i | ||||
\(447\) | 16.3903 | + | 18.4464i | 0.775233 | + | 0.872484i | ||||
\(448\) | 1.53910 | + | 0.888602i | 0.0727158 | + | 0.0419825i | ||||
\(449\) | −18.4631 | − | 31.9789i | −0.871325 | − | 1.50918i | −0.860626 | − | 0.509237i | \(-0.829928\pi\) |
−0.0106992 | − | 0.999943i | \(-0.503406\pi\) | |||||||
\(450\) | 12.3277 | − | 8.54562i | 0.581134 | − | 0.402845i | ||||
\(451\) | −13.9389 | − | 2.45781i | −0.656359 | − | 0.115734i | ||||
\(452\) | 2.98834 | − | 0.526925i | 0.140560 | − | 0.0247845i | ||||
\(453\) | 14.1174 | + | 35.6160i | 0.663291 | + | 1.67338i | ||||
\(454\) | 7.05849 | + | 5.92277i | 0.331271 | + | 0.277970i | ||||
\(455\) | 2.84759 | − | 8.15091i | 0.133497 | − | 0.382120i | ||||
\(456\) | −6.83232 | − | 3.21239i | −0.319953 | − | 0.150434i | ||||
\(457\) | 25.5668i | 1.19597i | 0.801509 | + | 0.597983i | \(0.204031\pi\) | ||||
−0.801509 | + | 0.597983i | \(0.795969\pi\) | |||||||
\(458\) | −16.2422 | + | 19.3566i | −0.758946 | + | 0.904477i | ||||
\(459\) | −3.59092 | + | 1.66432i | −0.167610 | + | 0.0776837i | ||||
\(460\) | 2.29566 | − | 14.0846i | 0.107036 | − | 0.656697i | ||||
\(461\) | −22.0151 | − | 3.88185i | −1.02534 | − | 0.180796i | −0.364409 | − | 0.931239i | \(-0.618729\pi\) |
−0.660935 | + | 0.750443i | \(0.729840\pi\) | |||||||
\(462\) | 4.15607 | − | 12.5098i | 0.193358 | − | 0.582010i | ||||
\(463\) | −0.0527706 | + | 0.0304671i | −0.00245246 | + | 0.00141593i | −0.501226 | − | 0.865317i | \(-0.667117\pi\) |
0.498773 | + | 0.866732i | \(0.333784\pi\) | |||||||
\(464\) | −0.695584 | + | 1.20479i | −0.0322917 | + | 0.0559308i | ||||
\(465\) | 7.38734 | + | 17.9542i | 0.342579 | + | 0.832606i | ||||
\(466\) | −3.10859 | − | 3.70468i | −0.144003 | − | 0.171616i | ||||
\(467\) | 6.86983 | − | 11.8989i | 0.317898 | − | 0.550615i | −0.662151 | − | 0.749370i | \(-0.730356\pi\) |
0.980049 | + | 0.198755i | \(0.0636898\pi\) | |||||||
\(468\) | −3.57322 | − | 5.45122i | −0.165172 | − | 0.251983i | ||||
\(469\) | 2.46891 | − | 6.78327i | 0.114004 | − | 0.313222i | ||||
\(470\) | 9.20863 | + | 5.15862i | 0.424762 | + | 0.237949i | ||||
\(471\) | −25.7423 | + | 5.29455i | −1.18614 | + | 0.243960i | ||||
\(472\) | 4.12253 | + | 11.3266i | 0.189755 | + | 0.521347i | ||||
\(473\) | −0.0305020 | − | 0.0255942i | −0.00140249 | − | 0.00117682i | ||||
\(474\) | −7.51319 | + | 0.212782i | −0.345092 | + | 0.00977338i | ||||
\(475\) | 5.52367 | + | 21.0829i | 0.253443 | + | 0.967350i | ||||
\(476\) | 1.35368i | 0.0620459i | ||||||||
\(477\) | 0.372515 | − | 0.498758i | 0.0170563 | − | 0.0228365i | ||||
\(478\) | 19.9473 | − | 7.26023i | 0.912369 | − | 0.332075i | ||||
\(479\) | 5.40172 | − | 0.952469i | 0.246811 | − | 0.0435194i | −0.0488739 | − | 0.998805i | \(-0.515563\pi\) |
0.295685 | + | 0.955286i | \(0.404452\pi\) | |||||||
\(480\) | −3.43115 | − | 1.79644i | −0.156610 | − | 0.0819958i | ||||
\(481\) | 15.1101 | + | 5.49963i | 0.688962 | + | 0.250762i | ||||
\(482\) | −9.68451 | − | 16.7741i | −0.441117 | − | 0.764037i | ||||
\(483\) | 17.2843 | + | 9.33690i | 0.786461 | + | 0.424843i | ||||
\(484\) | 5.62200 | − | 4.71742i | 0.255545 | − | 0.214428i | ||||
\(485\) | −7.17149 | + | 2.71599i | −0.325641 | + | 0.123327i | ||||
\(486\) | 14.4647 | + | 5.81147i | 0.656131 | + | 0.263614i | ||||
\(487\) | −13.1225 | − | 22.7288i | −0.594636 | − | 1.02994i | −0.993598 | − | 0.112973i | \(-0.963963\pi\) |
0.398962 | − | 0.916968i | \(-0.369371\pi\) | |||||||
\(488\) | −3.68746 | + | 10.1312i | −0.166923 | + | 0.458618i | ||||
\(489\) | 35.2594 | + | 5.19267i | 1.59449 | + | 0.234821i | ||||
\(490\) | −8.47808 | − | 1.38185i | −0.383000 | − | 0.0624257i | ||||
\(491\) | 12.7898 | + | 35.1398i | 0.577197 | + | 1.58584i | 0.792884 | + | 0.609373i | \(0.208579\pi\) |
−0.215686 | + | 0.976463i | \(0.569199\pi\) | |||||||
\(492\) | −4.48778 | − | 3.55413i | −0.202325 | − | 0.160233i | ||||
\(493\) | −1.05964 | −0.0477238 | ||||||||
\(494\) | 9.22030 | − | 2.16192i | 0.414841 | − | 0.0972693i | ||||
\(495\) | −7.92448 | + | 27.6126i | −0.356179 | + | 1.24110i | ||||
\(496\) | 3.22218 | − | 3.84004i | 0.144680 | − | 0.172423i | ||||
\(497\) | −8.42840 | − | 23.1568i | −0.378065 | − | 1.03873i | ||||
\(498\) | −18.5502 | + | 3.81531i | −0.831254 | + | 0.170968i | ||||
\(499\) | −6.59648 | + | 37.4105i | −0.295299 | + | 1.67472i | 0.370686 | + | 0.928758i | \(0.379123\pi\) |
−0.665985 | + | 0.745965i | \(0.731988\pi\) | |||||||
\(500\) | 2.36804 | + | 10.9267i | 0.105902 | + | 0.488656i | ||||
\(501\) | −34.5570 | + | 21.2781i | −1.54389 | + | 0.950635i | ||||
\(502\) | 1.92800 | − | 3.33939i | 0.0860507 | − | 0.149044i | ||||
\(503\) | −6.88143 | + | 5.77421i | −0.306828 | + | 0.257459i | −0.783179 | − | 0.621796i | \(-0.786403\pi\) |
0.476352 | + | 0.879255i | \(0.341959\pi\) | |||||||
\(504\) | 3.88374 | − | 3.65276i | 0.172996 | − | 0.162707i | ||||
\(505\) | −12.6393 | − | 14.6724i | −0.562442 | − | 0.652914i | ||||
\(506\) | 13.6650 | + | 23.6685i | 0.607484 | + | 1.05219i | ||||
\(507\) | −13.6093 | − | 4.52134i | −0.604409 | − | 0.200800i | ||||
\(508\) | −3.57447 | + | 20.2718i | −0.158591 | + | 0.899417i | ||||
\(509\) | −4.64448 | − | 26.3401i | −0.205863 | − | 1.16751i | −0.896076 | − | 0.443900i | \(-0.853595\pi\) |
0.690214 | − | 0.723606i | \(-0.257517\pi\) | |||||||
\(510\) | −0.121730 | − | 2.94751i | −0.00539031 | − | 0.130518i | ||||
\(511\) | 11.4693 | + | 9.62389i | 0.507372 | + | 0.425736i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | −15.1370 | + | 16.8484i | −0.668317 | + | 0.743877i | ||||
\(514\) | 3.75547 | 0.165647 | ||||||||
\(515\) | 0.678116 | + | 1.14014i | 0.0298814 | + | 0.0502406i | ||||
\(516\) | −0.00593428 | − | 0.0149713i | −0.000261242 | − | 0.000659075i | ||||
\(517\) | −19.9075 | + | 3.51023i | −0.875531 | + | 0.154380i | ||||
\(518\) | −2.28402 | + | 12.9533i | −0.100354 | + | 0.569136i | ||||
\(519\) | 12.3865 | − | 37.2834i | 0.543706 | − | 1.63656i | ||||
\(520\) | 4.77305 | − | 0.905562i | 0.209312 | − | 0.0397115i | ||||
\(521\) | 13.1034 | − | 22.6958i | 0.574071 | − | 0.994320i | −0.422071 | − | 0.906563i | \(-0.638697\pi\) |
0.996142 | − | 0.0877571i | \(-0.0279699\pi\) | |||||||
\(522\) | 2.85932 | + | 3.04013i | 0.125149 | + | 0.133063i | ||||
\(523\) | −23.0996 | + | 19.3829i | −1.01008 | + | 0.847555i | −0.988348 | − | 0.152209i | \(-0.951361\pi\) |
−0.0217287 | + | 0.999764i | \(0.506917\pi\) | |||||||
\(524\) | 16.2573 | + | 9.38616i | 0.710204 | + | 0.410036i | ||||
\(525\) | −15.2798 | − | 1.84700i | −0.666866 | − | 0.0806095i | ||||
\(526\) | 5.19798 | − | 14.2813i | 0.226643 | − | 0.622696i | ||||
\(527\) | 3.76022 | + | 0.663028i | 0.163798 | + | 0.0288819i | ||||
\(528\) | 7.26527 | − | 1.49428i | 0.316180 | − | 0.0650304i | ||||
\(529\) | −16.6599 | + | 6.06372i | −0.724345 | + | 0.263640i | ||||
\(530\) | 0.237187 | + | 0.398791i | 0.0103028 | + | 0.0173224i | ||||
\(531\) | 36.1025 | − | 2.04656i | 1.56671 | − | 0.0888132i | ||||
\(532\) | 3.05123 | + | 7.12044i | 0.132288 | + | 0.308710i | ||||
\(533\) | 7.18093 | 0.311041 | ||||||||
\(534\) | −5.25879 | + | 6.64023i | −0.227570 | + | 0.287351i | ||||
\(535\) | −0.0107728 | − | 0.831033i | −0.000465751 | − | 0.0359287i | ||||
\(536\) | 4.00007 | − | 0.705320i | 0.172777 | − | 0.0304652i | ||||
\(537\) | −4.71068 | + | 31.9866i | −0.203281 | + | 1.38032i | ||||
\(538\) | −2.75324 | + | 7.56447i | −0.118701 | + | 0.326128i | ||||
\(539\) | 14.2470 | − | 8.22552i | 0.613663 | − | 0.354298i | ||||
\(540\) | −8.12799 | + | 8.30276i | −0.349773 | + | 0.357294i | ||||
\(541\) | 5.19668 | − | 4.36054i | 0.223423 | − | 0.187474i | −0.524205 | − | 0.851592i | \(-0.675637\pi\) |
0.747628 | + | 0.664118i | \(0.231193\pi\) | |||||||
\(542\) | 19.4271 | + | 23.1523i | 0.834464 | + | 0.994476i | ||||
\(543\) | −20.9892 | − | 11.3383i | −0.900733 | − | 0.486573i | ||||
\(544\) | −0.659644 | + | 0.380846i | −0.0282820 | + | 0.0163286i | ||||
\(545\) | −1.04026 | + | 1.27288i | −0.0445598 | + | 0.0545243i | ||||
\(546\) | −0.974416 | + | 6.61651i | −0.0417012 | + | 0.283160i | ||||
\(547\) | −5.83161 | − | 33.0727i | −0.249342 | − | 1.41409i | −0.810190 | − | 0.586168i | \(-0.800636\pi\) |
0.560848 | − | 0.827919i | \(-0.310475\pi\) | |||||||
\(548\) | −1.56167 | + | 0.568401i | −0.0667112 | + | 0.0242809i | ||||
\(549\) | 25.9141 | + | 19.3548i | 1.10599 | + | 0.826044i | ||||
\(550\) | −16.7538 | − | 13.3336i | −0.714386 | − | 0.568545i | ||||
\(551\) | −5.57377 | + | 2.38846i | −0.237450 | + | 0.101752i | ||||
\(552\) | 0.312931 | + | 11.0494i | 0.0133192 | + | 0.470294i | ||||
\(553\) | 5.90785 | + | 4.95727i | 0.251227 | + | 0.210805i | ||||
\(554\) | −18.2772 | + | 6.65235i | −0.776524 | + | 0.282631i | ||||
\(555\) | 3.80839 | − | 28.4099i | 0.161657 | − | 1.20593i | ||||
\(556\) | −3.07589 | + | 17.4442i | −0.130447 | + | 0.739801i | ||||
\(557\) | 10.0444 | + | 3.65587i | 0.425596 | + | 0.154904i | 0.545933 | − | 0.837829i | \(-0.316175\pi\) |
−0.120337 | + | 0.992733i | \(0.538398\pi\) | |||||||
\(558\) | −8.24428 | − | 12.5773i | −0.349008 | − | 0.532438i | ||||
\(559\) | 0.0174947 | + | 0.0101006i | 0.000739949 | + | 0.000427210i | ||||
\(560\) | 1.40746 | + | 3.71636i | 0.0594761 | + | 0.157045i | ||||
\(561\) | 3.75264 | + | 4.22340i | 0.158437 | + | 0.178312i | ||||
\(562\) | −15.7668 | − | 9.10297i | −0.665083 | − | 0.383986i | ||||
\(563\) | 12.1664 | − | 7.02426i | 0.512752 | − | 0.296037i | −0.221212 | − | 0.975226i | \(-0.571001\pi\) |
0.733964 | + | 0.679188i | \(0.237668\pi\) | |||||||
\(564\) | −7.75896 | − | 2.57772i | −0.326711 | − | 0.108541i | ||||
\(565\) | 5.91965 | + | 3.31615i | 0.249041 | + | 0.139512i | ||||
\(566\) | 3.42595 | + | 19.4295i | 0.144003 | + | 0.816684i | ||||
\(567\) | −7.13411 | − | 14.3157i | −0.299604 | − | 0.601203i | ||||
\(568\) | 8.91299 | − | 10.6221i | 0.373981 | − | 0.445693i | ||||
\(569\) | −15.7947 | −0.662149 | −0.331074 | − | 0.943605i | \(-0.607411\pi\) | ||||
−0.331074 | + | 0.943605i | \(0.607411\pi\) | |||||||
\(570\) | −7.28406 | − | 15.2297i | −0.305096 | − | 0.637900i | ||||
\(571\) | 16.6332 | 0.696078 | 0.348039 | − | 0.937480i | \(-0.386848\pi\) | ||||
0.348039 | + | 0.937480i | \(0.386848\pi\) | |||||||
\(572\) | −5.98061 | + | 7.12741i | −0.250062 | + | 0.298012i | ||||
\(573\) | −3.79875 | − | 9.58368i | −0.158695 | − | 0.400364i | ||||
\(574\) | 1.02000 | + | 5.78468i | 0.0425738 | + | 0.241448i | ||||
\(575\) | 23.9043 | − | 21.1379i | 0.996880 | − | 0.881511i | ||||
\(576\) | 2.87263 | + | 0.864865i | 0.119693 | + | 0.0360361i | ||||
\(577\) | 21.7458 | − | 12.5549i | 0.905288 | − | 0.522668i | 0.0263761 | − | 0.999652i | \(-0.491603\pi\) |
0.878912 | + | 0.476984i | \(0.158270\pi\) | |||||||
\(578\) | 14.2200 | + | 8.20991i | 0.591473 | + | 0.341487i | ||||
\(579\) | 20.2080 | − | 17.9555i | 0.839814 | − | 0.746205i | ||||
\(580\) | −2.90911 | + | 1.10174i | −0.120794 | + | 0.0457472i | ||||
\(581\) | 16.8288 | + | 9.71610i | 0.698175 | + | 0.403092i | ||||
\(582\) | 5.05809 | − | 3.11446i | 0.209664 | − | 0.129099i | ||||
\(583\) | −0.835032 | − | 0.303927i | −0.0345835 | − | 0.0125874i | ||||
\(584\) | −1.46290 | + | 8.29654i | −0.0605354 | + | 0.343313i | ||||
\(585\) | 1.52670 | − | 14.4944i | 0.0631213 | − | 0.599270i | ||||
\(586\) | −14.0579 | + | 5.11667i | −0.580728 | + | 0.211368i | ||||
\(587\) | −18.1425 | − | 15.2234i | −0.748822 | − | 0.628336i | 0.186369 | − | 0.982480i | \(-0.440328\pi\) |
−0.935191 | + | 0.354144i | \(0.884772\pi\) | |||||||
\(588\) | 6.65108 | − | 0.188366i | 0.274286 | − | 0.00776807i | ||||
\(589\) | 21.2734 | − | 4.98806i | 0.876556 | − | 0.205530i | ||||
\(590\) | −8.88919 | + | 25.4443i | −0.365962 | + | 1.04753i | ||||
\(591\) | 10.0399 | + | 7.95115i | 0.412985 | + | 0.327067i | ||||
\(592\) | −6.95469 | + | 2.53130i | −0.285836 | + | 0.104036i | ||||
\(593\) | 0.865939 | + | 4.91098i | 0.0355599 | + | 0.201670i | 0.997412 | − | 0.0719006i | \(-0.0229064\pi\) |
−0.961852 | + | 0.273571i | \(0.911795\pi\) | |||||||
\(594\) | 1.99095 | − | 22.1628i | 0.0816896 | − | 0.909350i | ||||
\(595\) | −1.91545 | + | 2.34378i | −0.0785258 | + | 0.0960857i | ||||
\(596\) | 12.3380 | − | 7.12338i | 0.505386 | − | 0.291785i | ||||
\(597\) | −4.97133 | + | 9.20282i | −0.203463 | + | 0.376646i | ||||
\(598\) | −8.91271 | − | 10.6218i | −0.364468 | − | 0.434356i | ||||
\(599\) | 3.60400 | − | 3.02411i | 0.147255 | − | 0.123562i | −0.566184 | − | 0.824279i | \(-0.691581\pi\) |
0.713439 | + | 0.700717i | \(0.247136\pi\) | |||||||
\(600\) | −3.39880 | − | 7.96544i | −0.138755 | − | 0.325188i | ||||
\(601\) | 15.7532 | − | 9.09510i | 0.642585 | − | 0.370997i | −0.143024 | − | 0.989719i | \(-0.545683\pi\) |
0.785610 | + | 0.618722i | \(0.212349\pi\) | |||||||
\(602\) | −0.00565166 | + | 0.0155278i | −0.000230345 | + | 0.000632866i | ||||
\(603\) | 1.43340 | − | 12.1007i | 0.0583724 | − | 0.492780i | ||||
\(604\) | 21.7833 | − | 3.84099i | 0.886350 | − | 0.156287i | ||||
\(605\) | 16.4091 | − | 0.212715i | 0.667125 | − | 0.00864808i | ||||
\(606\) | 11.7595 | + | 9.31305i | 0.477698 | + | 0.378317i | ||||
\(607\) | −6.34256 | −0.257437 | −0.128718 | − | 0.991681i | \(-0.541086\pi\) | ||||
−0.128718 | + | 0.991681i | \(0.541086\pi\) | |||||||
\(608\) | −2.61133 | + | 3.49012i | −0.105903 | + | 0.141543i | ||||
\(609\) | −0.121231 | − | 4.28059i | −0.00491252 | − | 0.173458i | ||||
\(610\) | −20.7201 | + | 12.3236i | −0.838932 | + | 0.498967i | ||||
\(611\) | 9.63725 | − | 3.50767i | 0.389881 | − | 0.141905i | ||||
\(612\) | 0.523526 | + | 2.22429i | 0.0211623 | + | 0.0899118i | ||||
\(613\) | −14.0354 | − | 2.47482i | −0.566883 | − | 0.0999568i | −0.117141 | − | 0.993115i | \(-0.537373\pi\) |
−0.449742 | + | 0.893158i | \(0.648484\pi\) | |||||||
\(614\) | −4.79797 | + | 13.1823i | −0.193630 | + | 0.531995i | ||||
\(615\) | −2.74113 | − | 12.5038i | −0.110533 | − | 0.504204i | ||||
\(616\) | −6.59107 | − | 3.80536i | −0.265562 | − | 0.153322i | ||||
\(617\) | 20.0114 | − | 16.7916i | 0.805630 | − | 0.676004i | −0.143930 | − | 0.989588i | \(-0.545974\pi\) |
0.949561 | + | 0.313584i | \(0.101530\pi\) | |||||||
\(618\) | −0.682515 | − | 0.768135i | −0.0274548 | − | 0.0308989i | ||||
\(619\) | −7.82506 | + | 13.5534i | −0.314516 | + | 0.544757i | −0.979334 | − | 0.202248i | \(-0.935175\pi\) |
0.664819 | + | 0.747005i | \(0.268509\pi\) | |||||||
\(620\) | 11.0126 | − | 2.08935i | 0.442275 | − | 0.0839102i | ||||
\(621\) | 32.0115 | + | 8.65731i | 1.28458 | + | 0.347406i | ||||
\(622\) | −0.157653 | + | 0.894096i | −0.00632132 | + | 0.0358500i | ||||
\(623\) | 8.55917 | − | 1.50921i | 0.342916 | − | 0.0604653i | ||||
\(624\) | −3.49834 | + | 1.38666i | −0.140046 | + | 0.0555109i | ||||
\(625\) | −11.3611 | + | 22.2694i | −0.454445 | + | 0.890775i | ||||
\(626\) | −8.09210 | −0.323425 | ||||||||
\(627\) | 29.2587 | + | 13.7568i | 1.16848 | + | 0.549392i | ||||
\(628\) | 15.1734i | 0.605485i | ||||||||
\(629\) | −4.31842 | − | 3.62359i | −0.172187 | − | 0.144482i | ||||
\(630\) | 11.8930 | − | 0.828966i | 0.473828 | − | 0.0330268i | ||||
\(631\) | −4.43669 | − | 25.1617i | −0.176622 | − | 1.00167i | −0.936255 | − | 0.351321i | \(-0.885733\pi\) |
0.759633 | − | 0.650352i | \(-0.225379\pi\) | |||||||
\(632\) | −0.753543 | + | 4.27356i | −0.0299744 | + | 0.169993i | ||||
\(633\) | 5.38643 | − | 16.2132i | 0.214091 | − | 0.644418i | ||||
\(634\) | 14.6672 | + | 25.4044i | 0.582510 | + | 1.00894i | ||||
\(635\) | −34.8734 | + | 30.0411i | −1.38391 | + | 1.19214i | ||||
\(636\) | −0.238726 | − | 0.268673i | −0.00946610 | − | 0.0106536i | ||||
\(637\) | −6.39366 | + | 5.36492i | −0.253326 | + | 0.212566i | ||||
\(638\) | 2.97877 | − | 5.15938i | 0.117931 | − | 0.204262i | ||||
\(639\) | −22.8048 | − | 34.7904i | −0.902144 | − | 1.37629i | ||||
\(640\) | −1.41499 | + | 1.73141i | −0.0559325 | + | 0.0684402i | ||||
\(641\) | 0.791320 | − | 4.48780i | 0.0312553 | − | 0.177258i | −0.965184 | − | 0.261572i | \(-0.915759\pi\) |
0.996439 | + | 0.0843148i | \(0.0268701\pi\) | |||||||
\(642\) | 0.129693 | + | 0.630570i | 0.00511856 | + | 0.0248866i | ||||
\(643\) | 9.60424 | + | 26.3874i | 0.378754 | + | 1.04062i | 0.971873 | + | 0.235504i | \(0.0756742\pi\) |
−0.593119 | + | 0.805115i | \(0.702104\pi\) | |||||||
\(644\) | 7.29050 | − | 8.68848i | 0.287286 | − | 0.342374i | ||||
\(645\) | 0.0109096 | − | 0.0343185i | 0.000429564 | − | 0.00135129i | ||||
\(646\) | −3.29675 | − | 0.393349i | −0.129709 | − | 0.0154761i | ||||
\(647\) | −25.2337 | −0.992038 | −0.496019 | − | 0.868312i | \(-0.665205\pi\) | ||||
−0.496019 | + | 0.868312i | \(0.665205\pi\) | |||||||
\(648\) | 4.96888 | − | 7.50402i | 0.195196 | − | 0.294786i | ||||
\(649\) | −17.6544 | − | 48.5049i | −0.692994 | − | 1.90398i | ||||
\(650\) | 9.54549 | + | 5.18593i | 0.374405 | + | 0.203409i | ||||
\(651\) | −2.24821 | + | 15.2659i | −0.0881143 | + | 0.598316i | ||||
\(652\) | 7.03762 | − | 19.3357i | 0.275614 | − | 0.757244i | ||||
\(653\) | 1.74619 | + | 3.02449i | 0.0683337 | + | 0.118357i | 0.898168 | − | 0.439653i | \(-0.144898\pi\) |
−0.829834 | + | 0.558010i | \(0.811565\pi\) | |||||||
\(654\) | 0.605201 | − | 1.12034i | 0.0236652 | − | 0.0438086i | ||||
\(655\) | 14.8668 | + | 39.2553i | 0.580893 | + | 1.53383i | ||||
\(656\) | −2.53189 | + | 2.12451i | −0.0988537 | + | 0.0829481i | ||||
\(657\) | 22.5677 | + | 11.3778i | 0.880449 | + | 0.443889i | ||||
\(658\) | 4.19454 | + | 7.26516i | 0.163520 | + | 0.283226i | ||||
\(659\) | 15.8542 | + | 5.77046i | 0.617593 | + | 0.224785i | 0.631822 | − | 0.775113i | \(-0.282307\pi\) |
−0.0142295 | + | 0.999899i | \(0.504530\pi\) | |||||||
\(660\) | 14.6936 | + | 7.69308i | 0.571947 | + | 0.299453i | ||||
\(661\) | −15.1762 | + | 2.67598i | −0.590287 | + | 0.104083i | −0.460810 | − | 0.887499i | \(-0.652441\pi\) |
−0.129477 | + | 0.991582i | \(0.541330\pi\) | |||||||
\(662\) | 11.2326 | − | 4.08833i | 0.436567 | − | 0.158897i | ||||
\(663\) | −2.24703 | − | 1.77956i | −0.0872675 | − | 0.0691122i | ||||
\(664\) | 10.9341i | 0.424327i | ||||||||
\(665\) | −4.79242 | + | 16.6459i | −0.185842 | + | 0.645500i | ||||
\(666\) | 1.25662 | + | 22.1675i | 0.0486931 | + | 0.858973i | ||||
\(667\) | 6.80121 | + | 5.70689i | 0.263344 | + | 0.220972i | ||||
\(668\) | 8.01365 | + | 22.0173i | 0.310057 | + | 0.851875i | ||||
\(669\) | 4.52464 | + | 21.9990i | 0.174933 | + | 0.850529i | ||||
\(670\) | 7.92380 | + | 4.43887i | 0.306123 | + | 0.171488i | ||||
\(671\) | 15.7912 | − | 43.3859i | 0.609612 | − | 1.67490i | ||||
\(672\) | −1.61396 | − | 2.62117i | −0.0622597 | − | 0.101114i | ||||
\(673\) | 6.12370 | − | 10.6066i | 0.236051 | − | 0.408853i | −0.723526 | − | 0.690297i | \(-0.757480\pi\) |
0.959578 | + | 0.281444i | \(0.0908133\pi\) | |||||||
\(674\) | −12.7505 | − | 15.1955i | −0.491131 | − | 0.585307i | ||||
\(675\) | −25.8213 | + | 2.87447i | −0.993861 | + | 0.110638i | ||||
\(676\) | −4.13979 | + | 7.17033i | −0.159223 | + | 0.275782i | ||||
\(677\) | −20.1922 | + | 11.6580i | −0.776048 | + | 0.448051i | −0.835028 | − | 0.550208i | \(-0.814549\pi\) |
0.0589800 | + | 0.998259i | \(0.481215\pi\) | |||||||
\(678\) | −4.98775 | − | 1.65705i | −0.191553 | − | 0.0636387i | ||||
\(679\) | −6.00230 | − | 1.05837i | −0.230347 | − | 0.0406164i | ||||
\(680\) | −1.68101 | − | 0.273990i | −0.0644638 | − | 0.0105070i | ||||
\(681\) | −5.88083 | − | 14.8365i | −0.225354 | − | 0.568534i | ||||
\(682\) | −13.7987 | + | 16.4446i | −0.528379 | + | 0.629697i | ||||
\(683\) | − | 0.376958i | − | 0.0144239i | −0.999974 | − | 0.00721196i | \(-0.997704\pi\) | ||
0.999974 | − | 0.00721196i | \(-0.00229566\pi\) | |||||||
\(684\) | 7.76739 | + | 10.5199i | 0.296994 | + | 0.402237i | ||||
\(685\) | −3.50818 | − | 1.22561i | −0.134041 | − | 0.0468283i | ||||
\(686\) | −14.7599 | − | 12.3850i | −0.563534 | − | 0.472862i | ||||
\(687\) | 40.6863 | − | 16.1271i | 1.55228 | − | 0.615288i | ||||
\(688\) | −0.00915669 | + | 0.00161457i | −0.000349096 | + | 6.15550e-5i | ||||
\(689\) | 0.443987 | + | 0.0782870i | 0.0169146 | + | 0.00298250i | ||||
\(690\) | −15.0930 | + | 19.5739i | −0.574582 | + | 0.745166i | ||||
\(691\) | 8.77928 | + | 15.2062i | 0.333979 | + | 0.578469i | 0.983288 | − | 0.182055i | \(-0.0582750\pi\) |
−0.649309 | + | 0.760525i | \(0.724942\pi\) | |||||||
\(692\) | −19.6436 | − | 11.3412i | −0.746737 | − | 0.431129i | ||||
\(693\) | −16.6318 | + | 15.6426i | −0.631789 | + | 0.594213i | ||||
\(694\) | −20.5008 | − | 24.4319i | −0.778200 | − | 0.927423i | ||||
\(695\) | −30.0091 | + | 25.8508i | −1.13831 | + | 0.980578i | ||||
\(696\) | 2.05181 | − | 1.26338i | 0.0777736 | − | 0.0478883i | ||||
\(697\) | −2.36568 | − | 0.861036i | −0.0896064 | − | 0.0326141i | ||||
\(698\) | 10.0345 | + | 1.76936i | 0.379812 | + | 0.0669711i | ||||
\(699\) | 1.68749 | + | 8.20466i | 0.0638269 | + | 0.310329i | ||||
\(700\) | −2.82172 | + | 8.42611i | −0.106651 | + | 0.318477i | ||||
\(701\) | 6.98342 | − | 8.32252i | 0.263760 | − | 0.314337i | −0.617868 | − | 0.786282i | \(-0.712003\pi\) |
0.881628 | + | 0.471945i | \(0.156448\pi\) | |||||||
\(702\) | 0.957776 | + | 11.2487i | 0.0361489 | + | 0.424556i | ||||
\(703\) | −30.8828 | − | 9.32643i | −1.16477 | − | 0.351753i | ||||
\(704\) | − | 4.28241i | − | 0.161399i | ||||||
\(705\) | −9.78652 | − | 15.4420i | −0.368582 | − | 0.581578i | ||||
\(706\) | −6.45665 | − | 17.7395i | −0.242999 | − | 0.667635i | ||||
\(707\) | −2.67274 | − | 15.1579i | −0.100519 | − | 0.570070i | ||||
\(708\) | 3.04179 | − | 20.6544i | 0.114318 | − | 0.776242i | ||||
\(709\) | −0.548054 | − | 0.199475i | −0.0205826 | − | 0.00749146i | 0.331708 | − | 0.943382i | \(-0.392375\pi\) |
−0.352291 | + | 0.935891i | \(0.614597\pi\) | |||||||
\(710\) | 30.4622 | − | 5.77942i | 1.14323 | − | 0.216898i | ||||
\(711\) | 11.6246 | + | 5.86070i | 0.435958 | + | 0.219794i | ||||
\(712\) | 3.14348 | + | 3.74625i | 0.117807 | + | 0.140397i | ||||
\(713\) | −20.5638 | − | 24.5069i | −0.770119 | − | 0.917792i | ||||
\(714\) | 1.11437 | − | 2.06290i | 0.0417042 | − | 0.0772020i | ||||
\(715\) | −20.4401 | + | 3.87798i | −0.764418 | + | 0.145028i | ||||
\(716\) | 17.5409 | + | 6.38438i | 0.655536 | + | 0.238595i | ||||
\(717\) | −36.3747 | − | 5.35693i | −1.35844 | − | 0.200058i | ||||
\(718\) | −1.36768 | − | 7.75648i | −0.0510412 | − | 0.289469i | ||||
\(719\) | −16.2739 | − | 44.7123i | −0.606916 | − | 1.66749i | −0.736925 | − | 0.675975i | \(-0.763723\pi\) |
0.130009 | − | 0.991513i | \(-0.458499\pi\) | |||||||
\(720\) | 3.74994 | + | 5.56219i | 0.139752 | + | 0.207291i | ||||
\(721\) | 1.05434i | 0.0392656i | ||||||||
\(722\) | −18.2277 | + | 5.36193i | −0.678365 | + | 0.199550i | ||||
\(723\) | 0.949737 | + | 33.5347i | 0.0353211 | + | 1.24717i | ||||
\(724\) | −8.85324 | + | 10.5509i | −0.329028 | + | 0.392121i | ||||
\(725\) | −6.59582 | − | 2.20880i | −0.244963 | − | 0.0820328i | ||||
\(726\) | −12.4509 | + | 2.56084i | −0.462096 | + | 0.0950416i | ||||
\(727\) | 29.9296 | + | 5.27739i | 1.11003 | + | 0.195728i | 0.698458 | − | 0.715651i | \(-0.253870\pi\) |
0.411569 | + | 0.911379i | \(0.364981\pi\) | |||||||
\(728\) | 3.62838 | + | 1.32062i | 0.134477 | + | 0.0489456i | ||||
\(729\) | −17.2589 | − | 20.7637i | −0.639217 | − | 0.769026i | ||||
\(730\) | −14.2724 | + | 12.2948i | −0.528247 | + | 0.455049i | ||||
\(731\) | −0.00455233 | − | 0.00542525i | −0.000168374 | − | 0.000200660i | ||||
\(732\) | 13.9595 | − | 12.4035i | 0.515959 | − | 0.458448i | ||||
\(733\) | 22.0169 | + | 12.7114i | 0.813212 | + | 0.469508i | 0.848070 | − | 0.529884i | \(-0.177765\pi\) |
−0.0348584 | + | 0.999392i | \(0.511098\pi\) | |||||||
\(734\) | 16.0689 | + | 27.8321i | 0.593113 | + | 1.02730i | ||||
\(735\) | 11.7823 | + | 9.08510i | 0.434597 | + | 0.335109i | ||||
\(736\) | 6.28498 | + | 1.10821i | 0.231667 | + | 0.0408492i | ||||
\(737\) | −17.1299 | + | 3.02047i | −0.630988 | + | 0.111260i | ||||
\(738\) | 3.91318 | + | 9.11060i | 0.144046 | + | 0.335366i | ||||
\(739\) | −16.6031 | − | 13.9317i | −0.610755 | − | 0.512484i | 0.284127 | − | 0.958787i | \(-0.408296\pi\) |
−0.894882 | + | 0.446302i | \(0.852741\pi\) | |||||||
\(740\) | −15.6232 | − | 5.45811i | −0.574321 | − | 0.200644i | ||||
\(741\) | −15.8307 | − | 4.29569i | −0.581555 | − | 0.157806i | ||||
\(742\) | 0.368779i | 0.0135383i | ||||||||
\(743\) | −14.9004 | + | 17.7576i | −0.546641 | + | 0.651462i | −0.966663 | − | 0.256052i | \(-0.917578\pi\) |
0.420022 | + | 0.907514i | \(0.362023\pi\) | |||||||
\(744\) | −8.07151 | + | 3.19936i | −0.295916 | + | 0.117294i | ||||
\(745\) | 31.4418 | + | 5.12474i | 1.15194 | + | 0.187756i | ||||
\(746\) | −9.45899 | − | 1.66788i | −0.346318 | − | 0.0610653i | ||||
\(747\) | 31.4097 | + | 9.45655i | 1.14922 | + | 0.345997i | ||||
\(748\) | 2.82486 | − | 1.63094i | 0.103287 | − | 0.0596329i | ||||
\(749\) | 0.330276 | − | 0.572055i | 0.0120680 | − | 0.0209024i | ||||
\(750\) | 5.38630 | − | 18.6007i | 0.196680 | − | 0.679203i | ||||
\(751\) | 0.0322560 | + | 0.0384412i | 0.00117704 | + | 0.00140274i | 0.766633 | − | 0.642086i | \(-0.221931\pi\) |
−0.765456 | + | 0.643489i | \(0.777486\pi\) | |||||||
\(752\) | −2.36019 | + | 4.08797i | −0.0860674 | + | 0.149073i | ||||
\(753\) | −5.68713 | + | 3.50179i | −0.207251 | + | 0.127612i | ||||
\(754\) | −1.03376 | + | 2.84024i | −0.0376474 | + | 0.103435i | ||||
\(755\) | 43.1509 | + | 24.1729i | 1.57042 | + | 0.879742i | ||||
\(756\) | −8.92550 | + | 2.36934i | −0.324617 | + | 0.0861722i | ||||
\(757\) | −10.0370 | − | 27.5764i | −0.364801 | − | 1.00228i | −0.977309 | − | 0.211818i | \(-0.932062\pi\) |
0.612508 | − | 0.790464i | \(-0.290161\pi\) | |||||||
\(758\) | −7.87932 | − | 6.61154i | −0.286190 | − | 0.240142i | ||||
\(759\) | −1.34010 | − | 47.3180i | −0.0486424 | − | 1.71754i | ||||
\(760\) | −9.45979 | + | 2.34784i | −0.343143 | + | 0.0851651i | ||||
\(761\) | − | 2.19617i | − | 0.0796110i | −0.999207 | − | 0.0398055i | \(-0.987326\pi\) | ||
0.999207 | − | 0.0398055i | \(-0.0126738\pi\) | |||||||
\(762\) | 22.1352 | − | 27.9500i | 0.801875 | − | 1.01252i | ||||
\(763\) | −1.22775 | + | 0.446865i | −0.0444476 | + | 0.0161776i | ||||
\(764\) | −5.86153 | + | 1.03355i | −0.212063 | + | 0.0373924i | ||||
\(765\) | −2.24092 | + | 4.59196i | −0.0810206 | + | 0.166023i | ||||
\(766\) | −28.2199 | − | 10.2712i | −1.01963 | − | 0.371114i | ||||
\(767\) | 13.0940 | + | 22.6795i | 0.472797 | + | 0.818908i | ||||
\(768\) | 0.823214 | − | 1.52392i | 0.0297052 | − | 0.0549896i | ||||
\(769\) | −24.4931 | + | 20.5521i | −0.883243 | + | 0.741129i | −0.966843 | − | 0.255371i | \(-0.917802\pi\) |
0.0836006 | + | 0.996499i | \(0.473358\pi\) | |||||||
\(770\) | −6.02732 | − | 15.9150i | −0.217209 | − | 0.573535i | ||||
\(771\) | −5.72302 | − | 3.09156i | −0.206110 | − | 0.111340i | ||||
\(772\) | −7.80364 | − | 13.5163i | −0.280859 | − | 0.486462i | ||||
\(773\) | 5.58848 | − | 15.3542i | 0.201004 | − | 0.552253i | −0.797705 | − | 0.603047i | \(-0.793953\pi\) |
0.998709 | + | 0.0507940i | \(0.0161752\pi\) | |||||||
\(774\) | −0.00328124 | + | 0.0277002i | −0.000117942 | + | 0.000995662i | ||||
\(775\) | 22.0237 | + | 11.9652i | 0.791115 | + | 0.429802i | ||||
\(776\) | −1.17295 | − | 3.22266i | −0.0421066 | − | 0.115687i | ||||
\(777\) | 14.1440 | − | 17.8595i | 0.507413 | − | 0.640707i | ||||
\(778\) | 11.5261 | 0.413231 | ||||||||
\(779\) | −14.3844 | + | 0.803200i | −0.515374 | + | 0.0287776i | ||||
\(780\) | −8.01920 | − | 2.54924i | −0.287133 | − | 0.0912775i | ||||
\(781\) | −38.1690 | + | 45.4881i | −1.36580 | + | 1.62769i | ||||
\(782\) | 1.66258 | + | 4.56791i | 0.0594538 | + | 0.163348i | ||||
\(783\) | −1.85468 | − | 6.98674i | −0.0662810 | − | 0.249686i | ||||
\(784\) | 0.667077 | − | 3.78318i | 0.0238242 | − | 0.135114i | ||||
\(785\) | −21.4703 | + | 26.2715i | −0.766307 | + | 0.937668i | ||||
\(786\) | −17.0479 | − | 27.6869i | −0.608080 | − | 0.987561i | ||||
\(787\) | 15.2643 | − | 26.4386i | 0.544114 | − | 0.942433i | −0.454548 | − | 0.890722i | \(-0.650199\pi\) |
0.998662 | − | 0.0517107i | \(-0.0164674\pi\) | |||||||
\(788\) | 5.66423 | − | 4.75286i | 0.201780 | − | 0.169313i | ||||
\(789\) | −19.6779 | + | 17.4845i | −0.700551 | + | 0.622465i | ||||
\(790\) | −7.35175 | + | 6.33304i | −0.261564 | + | 0.225319i | ||||
\(791\) | 2.69641 | + | 4.67032i | 0.0958733 | + | 0.166057i | ||||
\(792\) | −12.3018 | − | 3.70370i | −0.437124 | − | 0.131605i | ||||
\(793\) | −4.06757 | + | 23.0684i | −0.144444 | + | 0.819181i | ||||
\(794\) | −5.60549 | − | 31.7903i | −0.198932 | − | 1.12820i | ||||
\(795\) | −0.0331626 | − | 0.802980i | −0.00117616 | − | 0.0284788i | ||||
\(796\) | 4.62609 | + | 3.88175i | 0.163967 | + | 0.137585i | ||||
\(797\) | 29.2971i | 1.03776i | 0.854848 | + | 0.518878i | \(0.173650\pi\) | ||||
−0.854848 | + | 0.518878i | \(0.826350\pi\) | |||||||
\(798\) | 1.21182 | − | 13.3628i | 0.0428980 | − | 0.473037i | ||||
\(799\) | −3.59548 | −0.127199 | ||||||||
\(800\) | −4.89988 | + | 0.995590i | −0.173237 | + | 0.0351994i | ||||
\(801\) | 13.4803 | − | 5.79005i | 0.476302 | − | 0.204581i | ||||
\(802\) | 1.63114 | − | 0.287613i | 0.0575974 | − | 0.0101560i | ||||
\(803\) | 6.26475 | − | 35.5292i | 0.221078 | − | 1.25380i | ||||
\(804\) | −6.67639 | − | 2.21806i | −0.235458 | − | 0.0782250i | ||||
\(805\) | 24.9170 | − | 4.72735i | 0.878209 | − | 0.166617i | ||||
\(806\) | 5.44556 | − | 9.43198i | 0.191812 | − | 0.332227i | ||||
\(807\) | 10.4229 | − | 9.26111i | 0.366903 | − | 0.326007i | ||||
\(808\) | 6.63442 | − | 5.56694i | 0.233398 | − | 0.195844i | ||||
\(809\) | −6.10815 | − | 3.52654i | −0.214751 | − | 0.123987i | 0.388766 | − | 0.921336i | \(-0.372901\pi\) |
−0.603518 | + | 0.797350i | \(0.706235\pi\) | |||||||
\(810\) | 19.2213 | − | 5.96163i | 0.675368 | − | 0.209470i | ||||
\(811\) | 12.0809 | − | 33.1921i | 0.424218 | − | 1.16553i | −0.525052 | − | 0.851070i | \(-0.675954\pi\) |
0.949271 | − | 0.314461i | \(-0.101824\pi\) | |||||||
\(812\) | −2.43483 | − | 0.429326i | −0.0854457 | − | 0.0150664i | ||||
\(813\) | −10.5459 | − | 51.2748i | −0.369862 | − | 1.79828i | ||||
\(814\) | 29.7828 | − | 10.8401i | 1.04389 | − | 0.379944i | ||||
\(815\) | 39.5449 | − | 23.5199i | 1.38520 | − | 0.823867i | ||||
\(816\) | 1.31876 | − | 0.0373487i | 0.0461658 | − | 0.00130746i | ||||
\(817\) | −0.0361742 | − | 0.0182761i | −0.00126557 | − | 0.000639399i | ||||
\(818\) | 7.85991 | 0.274815 | ||||||||
\(819\) | 6.93173 | − | 9.28084i | 0.242214 | − | 0.324299i | ||||
\(820\) | −7.38991 | + | 0.0957969i | −0.258067 | + | 0.00334537i | ||||
\(821\) | −39.0306 | + | 6.88215i | −1.36218 | + | 0.240189i | −0.806512 | − | 0.591217i | \(-0.798648\pi\) |
−0.555666 | + | 0.831406i | \(0.687537\pi\) | |||||||
\(822\) | 2.84777 | + | 0.419392i | 0.0993273 | + | 0.0146280i | ||||
\(823\) | 5.66550 | − | 15.5658i | 0.197487 | − | 0.542591i | −0.800935 | − | 0.598751i | \(-0.795664\pi\) |
0.998422 | + | 0.0561608i | \(0.0178859\pi\) | |||||||
\(824\) | −0.513775 | + | 0.296628i | −0.0178982 | + | 0.0103335i | ||||
\(825\) | 14.5550 | + | 34.1112i | 0.506741 | + | 1.18760i | ||||
\(826\) | −16.4098 | + | 13.7695i | −0.570970 | + | 0.479101i | ||||
\(827\) | 2.61739 | + | 3.11928i | 0.0910156 | + | 0.108468i | 0.809630 | − | 0.586941i | \(-0.199668\pi\) |
−0.718614 | + | 0.695409i | \(0.755223\pi\) | |||||||
\(828\) | 8.61914 | − | 17.0960i | 0.299536 | − | 0.594126i | ||||
\(829\) | 13.6505 | − | 7.88112i | 0.474102 | − | 0.273723i | −0.243853 | − | 0.969812i | \(-0.578412\pi\) |
0.717955 | + | 0.696089i | \(0.245078\pi\) | |||||||
\(830\) | −15.4717 | + | 18.9315i | −0.537031 | + | 0.657123i | ||||
\(831\) | 33.3292 | + | 4.90841i | 1.15618 | + | 0.170271i | ||||
\(832\) | 0.377277 | + | 2.13964i | 0.0130797 | + | 0.0741788i | ||||
\(833\) | 2.74961 | − | 1.00078i | 0.0952683 | − | 0.0346748i | ||||
\(834\) | 19.0477 | − | 24.0514i | 0.659569 | − | 0.832833i | ||||
\(835\) | −17.2794 | + | 49.4603i | −0.597978 | + | 1.71165i | ||||
\(836\) | 11.1828 | − | 14.9461i | 0.386764 | − | 0.516923i | ||||
\(837\) | 2.20982 | + | 25.9535i | 0.0763825 | + | 0.897084i | ||||
\(838\) | 15.8808 | + | 13.3256i | 0.548594 | + | 0.460325i | ||||
\(839\) | 30.3943 | − | 11.0626i | 1.04933 | − | 0.381924i | 0.240918 | − | 0.970545i | \(-0.422551\pi\) |
0.808409 | + | 0.588622i | \(0.200329\pi\) | |||||||
\(840\) | 0.914507 | − | 6.82206i | 0.0315535 | − | 0.235383i | ||||
\(841\) | −4.69973 | + | 26.6535i | −0.162060 | + | 0.919086i | ||||
\(842\) | 25.5951 | + | 9.31585i | 0.882065 | + | 0.321045i | ||||
\(843\) | 16.5336 | + | 26.8516i | 0.569447 | + | 0.924819i | ||||
\(844\) | −8.54228 | − | 4.93189i | −0.294037 | − | 0.169763i | ||||
\(845\) | −17.3137 | + | 6.55704i | −0.595608 | + | 0.225569i | ||||
\(846\) | 9.70199 | + | 10.3155i | 0.333561 | + | 0.354654i | ||||
\(847\) | 11.2955 | + | 6.52145i | 0.388117 | + | 0.224080i | ||||
\(848\) | −0.179705 | + | 0.103753i | −0.00617109 | + | 0.00356288i | ||||
\(849\) | 10.7738 | − | 32.4292i | 0.369756 | − | 1.11297i | ||||
\(850\) | −2.52283 | − | 2.85301i | −0.0865324 | − | 0.0978574i | ||||
\(851\) | 8.20190 | + | 46.5153i | 0.281158 | + | 1.59452i | ||||
\(852\) | −22.3269 | + | 8.84987i | −0.764907 | + | 0.303192i | ||||
\(853\) | 19.8835 | − | 23.6962i | 0.680798 | − | 0.811344i | −0.309412 | − | 0.950928i | \(-0.600132\pi\) |
0.990210 | + | 0.139584i | \(0.0445766\pi\) | |||||||
\(854\) | −19.1608 | −0.655668 | ||||||||
\(855\) | −1.43697 | + | 29.2051i | −0.0491433 | + | 0.998792i | ||||
\(856\) | 0.371680 | 0.0127038 | ||||||||
\(857\) | 21.2563 | − | 25.3322i | 0.726100 | − | 0.865332i | −0.269108 | − | 0.963110i | \(-0.586729\pi\) |
0.995208 | + | 0.0977776i | \(0.0311734\pi\) | |||||||
\(858\) | 14.9813 | − | 5.93825i | 0.511454 | − | 0.202729i | ||||
\(859\) | 1.55429 | + | 8.81482i | 0.0530317 | + | 0.300758i | 0.999775 | − | 0.0212328i | \(-0.00675912\pi\) |
−0.946743 | + | 0.321991i | \(0.895648\pi\) | |||||||
\(860\) | −0.0181386 | − | 0.0101612i | −0.000618522 | − | 0.000346493i | ||||
\(861\) | 3.20764 | − | 9.65504i | 0.109316 | − | 0.329043i | ||||
\(862\) | 28.2122 | − | 16.2883i | 0.960911 | − | 0.554782i | ||||
\(863\) | −12.8707 | − | 7.43090i | −0.438123 | − | 0.252951i | 0.264678 | − | 0.964337i | \(-0.414734\pi\) |
−0.702801 | + | 0.711386i | \(0.748068\pi\) | |||||||
\(864\) | −3.66568 | − | 3.68277i | −0.124709 | − | 0.125290i | ||||
\(865\) | −17.9634 | − | 47.4319i | −0.610774 | − | 1.61273i | ||||
\(866\) | 29.8917 | + | 17.2580i | 1.01576 | + | 0.586450i | ||||
\(867\) | −14.9115 | − | 24.2173i | −0.506423 | − | 0.822463i | ||||
\(868\) | 8.37154 | + | 3.04699i | 0.284149 | + | 0.103422i | ||||
\(869\) | 3.22698 | − | 18.3011i | 0.109468 | − | 0.620822i | ||||
\(870\) | 5.34020 | + | 0.715861i | 0.181050 | + | 0.0242700i | ||||
\(871\) | 8.29262 | − | 3.01827i | 0.280985 | − | 0.102270i | ||||
\(872\) | −0.563172 | − | 0.472558i | −0.0190714 | − | 0.0160028i | ||||
\(873\) | −10.2720 | + | 0.582293i | −0.347653 | + | 0.0197076i | ||||
\(874\) | 19.0415 | + | 20.2799i | 0.644087 | + | 0.685979i | ||||
\(875\) | −16.8085 | + | 10.5964i | −0.568229 | + | 0.358222i | ||||
\(876\) | 9.05917 | − | 11.4389i | 0.306081 | − | 0.386486i | ||||
\(877\) | 23.5786 | − | 8.58191i | 0.796193 | − | 0.289791i | 0.0882851 | − | 0.996095i | \(-0.471861\pi\) |
0.707908 | + | 0.706305i | \(0.249639\pi\) | |||||||
\(878\) | −1.24461 | − | 7.05852i | −0.0420035 | − | 0.238214i | ||||
\(879\) | 25.6352 | + | 3.77531i | 0.864655 | + | 0.127338i | ||||
\(880\) | 6.05957 | − | 7.41462i | 0.204268 | − | 0.249947i | ||||
\(881\) | −50.4770 | + | 29.1429i | −1.70061 | + | 0.981850i | −0.755477 | + | 0.655176i | \(0.772595\pi\) |
−0.945137 | + | 0.326674i | \(0.894072\pi\) | |||||||
\(882\) | −10.2908 | − | 5.18821i | −0.346508 | − | 0.174696i | ||||
\(883\) | −0.899037 | − | 1.07143i | −0.0302550 | − | 0.0360565i | 0.750705 | − | 0.660638i | \(-0.229714\pi\) |
−0.780960 | + | 0.624581i | \(0.785270\pi\) | |||||||
\(884\) | −1.26772 | + | 1.06374i | −0.0426380 | + | 0.0357775i | ||||
\(885\) | 34.4925 | − | 31.4573i | 1.15945 | − | 1.05743i | ||||
\(886\) | 30.7199 | − | 17.7362i | 1.03206 | − | 0.595858i | ||||
\(887\) | 14.9371 | − | 41.0393i | 0.501538 | − | 1.37797i | −0.388234 | − | 0.921561i | \(-0.626915\pi\) |
0.889772 | − | 0.456405i | \(-0.150863\pi\) | |||||||
\(888\) | 12.6822 | + | 1.86771i | 0.425585 | + | 0.0626762i | ||||
\(889\) | −36.0272 | + | 6.35256i | −1.20831 | + | 0.213058i | ||||
\(890\) | 0.141744 | + | 10.9343i | 0.00475126 | + | 0.366519i | ||||
\(891\) | −21.2787 | + | 32.1352i | −0.712865 | + | 1.07657i | ||||
\(892\) | 12.9670 | 0.434166 | ||||||||
\(893\) | −18.9124 | + | 8.10429i | −0.632879 | + | 0.271200i | ||||
\(894\) | −24.6662 | + | 0.698573i | −0.824961 | + | 0.0233638i | ||||
\(895\) | 21.3368 | + | 35.8743i | 0.713210 | + | 1.19915i | ||||
\(896\) | −1.67003 | + | 0.607840i | −0.0557917 | + | 0.0203065i | ||||
\(897\) | 4.83825 | + | 23.5237i | 0.161544 | + | 0.785435i | ||||
\(898\) | 36.3651 | + | 6.41215i | 1.21352 | + | 0.213976i | ||||
\(899\) | −2.38514 | + | 6.55311i | −0.0795488 | + | 0.218559i | ||||
\(900\) | −1.37777 | + | 14.9366i | −0.0459257 | + | 0.497886i | ||||
\(901\) | −0.136880 | − | 0.0790275i | −0.00456012 | − | 0.00263279i | ||||
\(902\) | 10.8426 | − | 9.09800i | 0.361018 | − | 0.302930i | ||||
\(903\) | 0.0213954 | − | 0.0190106i | 0.000711993 | − | 0.000632632i | ||||
\(904\) | −1.51722 | + | 2.62790i | −0.0504620 | + | 0.0874027i | ||||
\(905\) | −30.2581 | + | 5.74067i | −1.00581 | + | 0.190826i | ||||
\(906\) | −36.3579 | − | 12.0790i | −1.20791 | − | 0.401297i | ||||
\(907\) | 0.905180 | − | 5.13353i | 0.0300560 | − | 0.170456i | −0.966085 | − | 0.258225i | \(-0.916863\pi\) |
0.996141 | + | 0.0877686i | \(0.0279736\pi\) | |||||||
\(908\) | −9.07422 | + | 1.60003i | −0.301138 | + | 0.0530988i | ||||
\(909\) | −10.2539 | − | 23.8729i | −0.340100 | − | 0.791814i | ||||
\(910\) | 4.41356 | + | 7.42068i | 0.146308 | + | 0.245993i | ||||
\(911\) | 51.2970 | 1.69955 | 0.849773 | − | 0.527149i | \(-0.176739\pi\) | ||||
0.849773 | + | 0.527149i | \(0.176739\pi\) | |||||||
\(912\) | 6.85256 | − | 3.16897i | 0.226911 | − | 0.104935i | ||||
\(913\) | − | 46.8244i | − | 1.54966i | ||||||
\(914\) | −19.5853 | − | 16.4340i | −0.647825 | − | 0.543590i | ||||
\(915\) | 41.7206 | − | 1.72304i | 1.37924 | − | 0.0569619i | ||||
\(916\) | −4.38780 | − | 24.8844i | −0.144977 | − | 0.822204i | ||||
\(917\) | −5.79329 | + | 32.8554i | −0.191311 | + | 1.08498i | ||||
\(918\) | 1.03326 | − | 3.82061i | 0.0341027 | − | 0.126099i | ||||
\(919\) | 13.5313 | + | 23.4369i | 0.446356 | + | 0.773111i | 0.998146 | − | 0.0608721i | \(-0.0193882\pi\) |
−0.551790 | + | 0.833983i | \(0.686055\pi\) | |||||||
\(920\) | 9.31379 | + | 10.8120i | 0.307067 | + | 0.356460i | ||||
\(921\) | 18.1636 | − | 16.1390i | 0.598510 | − | 0.531797i | ||||
\(922\) | 17.1247 | − | 14.3693i | 0.563971 | − | 0.473228i | ||||
\(923\) | 15.0631 | − | 26.0901i | 0.495810 | − | 0.858767i | ||||
\(924\) | 6.91161 | + | 11.2249i | 0.227375 | + | 0.369272i | ||||
\(925\) | −19.3271 | − | 31.5570i | −0.635471 | − | 1.03759i | ||||
\(926\) | 0.0105811 | − | 0.0600085i | 0.000347717 | − | 0.00197200i | ||||
\(927\) | 0.407757 | + | 1.73243i | 0.0133925 | + | 0.0569004i | ||||
\(928\) | −0.475807 | − | 1.30727i | −0.0156191 | − | 0.0429132i | ||||
\(929\) | −22.3527 | + | 26.6389i | −0.733369 | + | 0.873995i | −0.995856 | − | 0.0909401i | \(-0.971013\pi\) |
0.262487 | + | 0.964935i | \(0.415457\pi\) | |||||||
\(930\) | −18.5022 | − | 5.88171i | −0.606711 | − | 0.192869i | ||||
\(931\) | 12.2073 | − | 11.4618i | 0.400079 | − | 0.375646i | ||||
\(932\) | 4.83612 | 0.158412 | ||||||||
\(933\) | 0.976283 | − | 1.23275i | 0.0319621 | − | 0.0403583i | ||||
\(934\) | 4.69924 | + | 12.9111i | 0.153764 | + | 0.422463i | ||||
\(935\) | 7.19877 | + | 1.17334i | 0.235425 | + | 0.0383722i | ||||
\(936\) | 6.47270 | + | 0.766726i | 0.211567 | + | 0.0250612i | ||||
\(937\) | −13.1131 | + | 36.0279i | −0.428385 | + | 1.17698i | 0.518407 | + | 0.855134i | \(0.326525\pi\) |
−0.946792 | + | 0.321845i | \(0.895697\pi\) | |||||||
\(938\) | 3.60930 | + | 6.25150i | 0.117848 | + | 0.204119i | ||||
\(939\) | 12.3317 | + | 6.66153i | 0.402429 | + | 0.217391i | ||||
\(940\) | −9.87092 | + | 3.73832i | −0.321954 | + | 0.121931i | ||||
\(941\) | −43.3229 | + | 36.3522i | −1.41229 | + | 1.18505i | −0.456962 | + | 0.889486i | \(0.651062\pi\) |
−0.955324 | + | 0.295562i | \(0.904493\pi\) | |||||||
\(942\) | 12.4910 | − | 23.1230i | 0.406977 | − | 0.753388i | ||||
\(943\) | 10.5466 | + | 18.2673i | 0.343445 | + | 0.594864i | ||||
\(944\) | −11.3266 | − | 4.12253i | −0.368648 | − | 0.134177i | ||||
\(945\) | −18.8063 | − | 8.52720i | −0.611770 | − | 0.277390i | ||||
\(946\) | 0.0392127 | − | 0.00691425i | 0.00127491 | − | 0.000224802i | ||||
\(947\) | −34.1860 | + | 12.4427i | −1.11090 | + | 0.404333i | −0.831322 | − | 0.555791i | \(-0.812416\pi\) |
−0.279574 | + | 0.960124i | \(0.590193\pi\) | |||||||
\(948\) | 4.66639 | − | 5.89221i | 0.151557 | − | 0.191370i | ||||
\(949\) | 18.3036i | 0.594159i | ||||||||
\(950\) | −19.7010 | − | 9.32046i | −0.639185 | − | 0.302396i | ||||
\(951\) | −1.43838 | − | 50.7884i | −0.0466427 | − | 1.64693i | ||||
\(952\) | −1.03698 | − | 0.870130i | −0.0336087 | − | 0.0282011i | ||||
\(953\) | −13.9821 | − | 38.4155i | −0.452924 | − | 1.24440i | −0.930656 | − | 0.365894i | \(-0.880763\pi\) |
0.477732 | − | 0.878506i | \(-0.341459\pi\) | |||||||
\(954\) | 0.142623 | + | 0.605958i | 0.00461758 | + | 0.0196186i | ||||
\(955\) | −11.6112 | − | 6.50453i | −0.375730 | − | 0.210482i | ||||
\(956\) | −7.26023 | + | 19.9473i | −0.234813 | + | 0.645142i | ||||
\(957\) | −8.78667 | + | 5.41030i | −0.284033 | + | 0.174890i | ||||
\(958\) | −2.74253 | + | 4.75019i | −0.0886070 | + | 0.153472i | ||||
\(959\) | −1.89849 | − | 2.26253i | −0.0613054 | − | 0.0730609i | ||||
\(960\) | 3.58165 | − | 1.47369i | 0.115597 | − | 0.0475631i | ||||
\(961\) | −2.93580 | + | 5.08496i | −0.0947034 | + | 0.164031i | ||||
\(962\) | −13.9256 | + | 8.03992i | −0.448978 | + | 0.259217i | ||||
\(963\) | 0.321453 | − | 1.06770i | 0.0103587 | − | 0.0344062i | ||||
\(964\) | 19.0748 | + | 3.36339i | 0.614356 | + | 0.108328i | ||||
\(965\) | 5.61414 | − | 34.4444i | 0.180725 | − | 1.10880i | ||||
\(966\) | −18.2626 | + | 7.23887i | −0.587589 | + | 0.232907i | ||||
\(967\) | 25.7133 | − | 30.6439i | 0.826883 | − | 0.985441i | −0.173117 | − | 0.984901i | \(-0.555384\pi\) |
1.00000 | 0.000539394i | \(-0.000171694\pi\) | ||||||||
\(968\) | 7.33900i | 0.235884i | ||||||||
\(969\) | 4.70016 | + | 3.31336i | 0.150991 | + | 0.106441i | ||||
\(970\) | 2.52918 | − | 7.23949i | 0.0812070 | − | 0.232446i | ||||
\(971\) | 32.3924 | + | 27.1805i | 1.03952 | + | 0.872263i | 0.991953 | − | 0.126605i | \(-0.0404081\pi\) |
0.0475693 | + | 0.998868i | \(0.484853\pi\) | |||||||
\(972\) | −13.7496 | + | 7.34504i | −0.441017 | + | 0.235592i | ||||
\(973\) | −31.0020 | + | 5.46649i | −0.993878 | + | 0.175248i | ||||
\(974\) | 25.8462 | + | 4.55739i | 0.828167 | + | 0.146028i | ||||
\(975\) | −10.2774 | − | 15.7609i | −0.329140 | − | 0.504753i | ||||
\(976\) | −5.39070 | − | 9.33697i | −0.172552 | − | 0.298869i | ||||
\(977\) | 9.77099 | + | 5.64129i | 0.312602 | + | 0.180481i | 0.648090 | − | 0.761564i | \(-0.275568\pi\) |
−0.335488 | + | 0.942044i | \(0.608901\pi\) | |||||||
\(978\) | −26.6421 | + | 23.6725i | −0.851922 | + | 0.756963i | ||||
\(979\) | −13.4616 | − | 16.0430i | −0.430236 | − | 0.512735i | ||||
\(980\) | 6.50816 | − | 5.60635i | 0.207896 | − | 0.179088i | ||||
\(981\) | −1.84455 | + | 1.20909i | −0.0588920 | + | 0.0386032i | ||||
\(982\) | −35.1398 | − | 12.7898i | −1.12136 | − | 0.408140i | ||||
\(983\) | −33.6212 | − | 5.92833i | −1.07235 | − | 0.189084i | −0.390520 | − | 0.920594i | \(-0.627705\pi\) |
−0.681831 | + | 0.731510i | \(0.738816\pi\) | |||||||
\(984\) | 5.60731 | − | 1.15328i | 0.178754 | − | 0.0367654i | ||||
\(985\) | 16.5324 | − | 0.214313i | 0.526766 | − | 0.00682857i | ||||
\(986\) | 0.681124 | − | 0.811732i | 0.0216914 | − | 0.0258508i | ||||
\(987\) | −0.411349 | − | 14.5245i | −0.0130934 | − | 0.462320i | ||||
\(988\) | −4.27057 | + | 8.45281i | −0.135865 | + | 0.268920i | ||||
\(989\) | 0.0593389i | 0.00188687i | ||||||||
\(990\) | −16.0587 | − | 23.8196i | −0.510380 | − | 0.757035i | ||||
\(991\) | −11.4538 | − | 31.4692i | −0.363843 | − | 0.999651i | −0.977658 | − | 0.210201i | \(-0.932588\pi\) |
0.613815 | − | 0.789450i | \(-0.289634\pi\) | |||||||
\(992\) | 0.870468 | + | 4.93667i | 0.0276374 | + | 0.156739i | ||||
\(993\) | −20.4831 | − | 3.01655i | −0.650011 | − | 0.0957274i | ||||
\(994\) | 23.1568 | + | 8.42840i | 0.734490 | + | 0.267332i | ||||
\(995\) | 2.51703 | + | 13.2668i | 0.0797951 | + | 0.420586i | ||||
\(996\) | 9.00113 | − | 16.6627i | 0.285212 | − | 0.527978i | ||||
\(997\) | 13.3750 | + | 15.9398i | 0.423592 | + | 0.504817i | 0.935062 | − | 0.354484i | \(-0.115343\pi\) |
−0.511470 | + | 0.859301i | \(0.670899\pi\) | |||||||
\(998\) | −24.4180 | − | 29.1002i | −0.772937 | − | 0.921151i | ||||
\(999\) | 16.3336 | − | 34.8159i | 0.516772 | − | 1.10152i |
(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 | 570.2.bf.a.269.19 | yes | 240 | |
3.2 | odd | 2 | inner | 570.2.bf.a.269.38 | yes | 240 | |
5.4 | even | 2 | inner | 570.2.bf.a.269.22 | yes | 240 | |
15.14 | odd | 2 | inner | 570.2.bf.a.269.3 | yes | 240 | |
19.13 | odd | 18 | inner | 570.2.bf.a.89.3 | ✓ | 240 | |
57.32 | even | 18 | inner | 570.2.bf.a.89.22 | yes | 240 | |
95.89 | odd | 18 | inner | 570.2.bf.a.89.38 | yes | 240 | |
285.89 | even | 18 | inner | 570.2.bf.a.89.19 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.bf.a.89.3 | ✓ | 240 | 19.13 | odd | 18 | inner | |
570.2.bf.a.89.19 | yes | 240 | 285.89 | even | 18 | inner | |
570.2.bf.a.89.22 | yes | 240 | 57.32 | even | 18 | inner | |
570.2.bf.a.89.38 | yes | 240 | 95.89 | odd | 18 | inner | |
570.2.bf.a.269.3 | yes | 240 | 15.14 | odd | 2 | inner | |
570.2.bf.a.269.19 | yes | 240 | 1.1 | even | 1 | trivial | |
570.2.bf.a.269.22 | yes | 240 | 5.4 | even | 2 | inner | |
570.2.bf.a.269.38 | yes | 240 | 3.2 | odd | 2 | inner |