Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [462,2,Mod(5,462)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(462, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 25, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("462.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 462.bf (of order \(30\), degree \(8\), 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: | \(3.68908857338\) |
Analytic rank: | \(0\) |
Dimension: | \(256\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 5.4 | ||
Character | \(\chi\) | \(=\) | 462.5 |
Dual form | 462.2.bf.a.185.4 |
$q$-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 \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{2}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.207912 | + | 0.978148i | −0.147016 | + | 0.691655i | ||||
\(3\) | −1.37785 | + | 1.04954i | −0.795502 | + | 0.605951i | ||||
\(4\) | −0.913545 | − | 0.406737i | −0.456773 | − | 0.203368i | ||||
\(5\) | 2.40395 | + | 2.66986i | 1.07508 | + | 1.19400i | 0.980097 | + | 0.198520i | \(0.0636133\pi\) |
0.0949840 | + | 0.995479i | \(0.469720\pi\) | |||||||
\(6\) | −0.740133 | − | 1.56595i | −0.302158 | − | 0.639297i | ||||
\(7\) | −0.383771 | + | 2.61777i | −0.145052 | + | 0.989424i | ||||
\(8\) | 0.587785 | − | 0.809017i | 0.207813 | − | 0.286031i | ||||
\(9\) | 0.796937 | − | 2.89221i | 0.265646 | − | 0.964071i | ||||
\(10\) | −3.11133 | + | 1.79633i | −0.983889 | + | 0.568048i | ||||
\(11\) | −0.0399035 | + | 3.31638i | −0.0120314 | + | 0.999928i | ||||
\(12\) | 1.68561 | − | 0.398380i | 0.486595 | − | 0.115002i | ||||
\(13\) | 0.128990 | − | 0.0419115i | 0.0357755 | − | 0.0116241i | −0.291075 | − | 0.956700i | \(-0.594013\pi\) |
0.326850 | + | 0.945076i | \(0.394013\pi\) | |||||||
\(14\) | −2.48078 | − | 0.919649i | −0.663015 | − | 0.245787i | ||||
\(15\) | −6.11441 | − | 1.15562i | −1.57873 | − | 0.298381i | ||||
\(16\) | 0.669131 | + | 0.743145i | 0.167283 | + | 0.185786i | ||||
\(17\) | 4.29270 | − | 0.912441i | 1.04113 | − | 0.221300i | 0.344544 | − | 0.938770i | \(-0.388034\pi\) |
0.696589 | + | 0.717471i | \(0.254700\pi\) | |||||||
\(18\) | 2.66332 | + | 1.38085i | 0.627750 | + | 0.325469i | ||||
\(19\) | 0.847386 | + | 1.90326i | 0.194404 | + | 0.436638i | 0.984277 | − | 0.176632i | \(-0.0565203\pi\) |
−0.789873 | + | 0.613270i | \(0.789854\pi\) | |||||||
\(20\) | −1.11019 | − | 3.41682i | −0.248246 | − | 0.764023i | ||||
\(21\) | −2.21867 | − | 4.00967i | −0.484154 | − | 0.874983i | ||||
\(22\) | −3.23562 | − | 0.728547i | −0.689836 | − | 0.155327i | ||||
\(23\) | −1.84743 | − | 1.06661i | −0.385215 | − | 0.222404i | 0.294870 | − | 0.955537i | \(-0.404724\pi\) |
−0.680085 | + | 0.733134i | \(0.738057\pi\) | |||||||
\(24\) | 0.0392151 | + | 1.73161i | 0.00800476 | + | 0.353463i | ||||
\(25\) | −0.826523 | + | 7.86384i | −0.165305 | + | 1.57277i | ||||
\(26\) | 0.0141770 | + | 0.134885i | 0.00278034 | + | 0.0264532i | ||||
\(27\) | 1.93743 | + | 4.82145i | 0.372858 | + | 0.927888i | ||||
\(28\) | 1.41534 | − | 2.23536i | 0.267473 | − | 0.422443i | ||||
\(29\) | −4.23952 | − | 5.83519i | −0.787258 | − | 1.08357i | −0.994444 | − | 0.105266i | \(-0.966430\pi\) |
0.207186 | − | 0.978302i | \(-0.433570\pi\) | |||||||
\(30\) | 2.40163 | − | 5.74053i | 0.438475 | − | 1.04807i | ||||
\(31\) | −6.71409 | − | 6.04540i | −1.20589 | − | 1.08579i | −0.994100 | − | 0.108469i | \(-0.965405\pi\) |
−0.211787 | − | 0.977316i | \(-0.567928\pi\) | |||||||
\(32\) | −0.866025 | + | 0.500000i | −0.153093 | + | 0.0883883i | ||||
\(33\) | −3.42569 | − | 4.61136i | −0.596337 | − | 0.802734i | ||||
\(34\) | 4.38860i | 0.752639i | ||||||||
\(35\) | −7.91165 | + | 5.26838i | −1.33731 | + | 0.890519i | ||||
\(36\) | −1.90441 | + | 2.31802i | −0.317401 | + | 0.386337i | ||||
\(37\) | 0.190758 | + | 1.81494i | 0.0313604 | + | 0.298374i | 0.998949 | + | 0.0458413i | \(0.0145969\pi\) |
−0.967588 | + | 0.252533i | \(0.918736\pi\) | |||||||
\(38\) | −2.03785 | + | 0.433159i | −0.330583 | + | 0.0702676i | ||||
\(39\) | −0.133741 | + | 0.193128i | −0.0214158 | + | 0.0309252i | ||||
\(40\) | 3.57297 | − | 0.375534i | 0.564936 | − | 0.0593772i | ||||
\(41\) | −2.13325 | − | 1.54990i | −0.333157 | − | 0.242053i | 0.408612 | − | 0.912708i | \(-0.366013\pi\) |
−0.741769 | + | 0.670655i | \(0.766013\pi\) | |||||||
\(42\) | 4.38334 | − | 1.33653i | 0.676364 | − | 0.206231i | ||||
\(43\) | −7.85021 | −1.19715 | −0.598573 | − | 0.801068i | \(-0.704265\pi\) | ||||
−0.598573 | + | 0.801068i | \(0.704265\pi\) | |||||||
\(44\) | 1.38535 | − | 3.01344i | 0.208849 | − | 0.454293i | ||||
\(45\) | 9.63761 | − | 4.82503i | 1.43669 | − | 0.719274i | ||||
\(46\) | 1.42740 | − | 1.58529i | 0.210459 | − | 0.233739i | ||||
\(47\) | 8.12870 | − | 3.61913i | 1.18569 | − | 0.527904i | 0.283389 | − | 0.959005i | \(-0.408541\pi\) |
0.902304 | + | 0.431101i | \(0.141875\pi\) | |||||||
\(48\) | −1.70192 | − | 0.321663i | −0.245651 | − | 0.0464281i | ||||
\(49\) | −6.70544 | − | 2.00925i | −0.957920 | − | 0.287035i | ||||
\(50\) | −7.52015 | − | 2.44345i | −1.06351 | − | 0.345555i | ||||
\(51\) | −4.95705 | + | 5.76256i | −0.694126 | + | 0.806920i | ||||
\(52\) | −0.134885 | − | 0.0141770i | −0.0187052 | − | 0.00196600i | ||||
\(53\) | 5.78993 | + | 5.21328i | 0.795308 | + | 0.716099i | 0.962930 | − | 0.269753i | \(-0.0869420\pi\) |
−0.167622 | + | 0.985851i | \(0.553609\pi\) | |||||||
\(54\) | −5.11890 | + | 0.892656i | −0.696594 | + | 0.121475i | ||||
\(55\) | −8.95021 | + | 7.86590i | −1.20685 | + | 1.06064i | ||||
\(56\) | 1.89225 | + | 1.84916i | 0.252862 | + | 0.247105i | ||||
\(57\) | −3.16512 | − | 1.73304i | −0.419230 | − | 0.229547i | ||||
\(58\) | 6.58912 | − | 2.93367i | 0.865194 | − | 0.385209i | ||||
\(59\) | 11.0948 | + | 4.93971i | 1.44442 | + | 0.643096i | 0.971290 | − | 0.237898i | \(-0.0764584\pi\) |
0.473127 | + | 0.880994i | \(0.343125\pi\) | |||||||
\(60\) | 5.11576 | + | 3.54267i | 0.660441 | + | 0.457357i | ||||
\(61\) | 0.196784 | − | 0.177185i | 0.0251957 | − | 0.0226863i | −0.656437 | − | 0.754381i | \(-0.727937\pi\) |
0.681632 | + | 0.731695i | \(0.261270\pi\) | |||||||
\(62\) | 7.30923 | − | 5.31046i | 0.928273 | − | 0.674430i | ||||
\(63\) | 7.26531 | + | 3.19614i | 0.915342 | + | 0.402676i | ||||
\(64\) | −0.309017 | − | 0.951057i | −0.0386271 | − | 0.118882i | ||||
\(65\) | 0.421984 | + | 0.243633i | 0.0523407 | + | 0.0302189i | ||||
\(66\) | 5.22283 | − | 2.39208i | 0.642886 | − | 0.294444i | ||||
\(67\) | 2.86118 | + | 4.95571i | 0.349549 | + | 0.605436i | 0.986169 | − | 0.165741i | \(-0.0530016\pi\) |
−0.636621 | + | 0.771177i | \(0.719668\pi\) | |||||||
\(68\) | −4.29270 | − | 0.912441i | −0.520566 | − | 0.110650i | ||||
\(69\) | 3.66492 | − | 0.469314i | 0.441205 | − | 0.0564988i | ||||
\(70\) | −3.50833 | − | 8.83412i | −0.419326 | − | 1.05588i | ||||
\(71\) | 10.6343 | + | 3.45530i | 1.26206 | + | 0.410068i | 0.862228 | − | 0.506520i | \(-0.169068\pi\) |
0.399832 | + | 0.916588i | \(0.369068\pi\) | |||||||
\(72\) | −1.87142 | − | 2.34474i | −0.220549 | − | 0.276330i | ||||
\(73\) | 1.61382 | − | 3.62469i | 0.188883 | − | 0.424238i | −0.794137 | − | 0.607739i | \(-0.792077\pi\) |
0.983019 | + | 0.183502i | \(0.0587432\pi\) | |||||||
\(74\) | −1.81494 | − | 0.190758i | −0.210982 | − | 0.0221751i | ||||
\(75\) | −7.11458 | − | 11.7027i | −0.821521 | − | 1.35131i | ||||
\(76\) | − | 2.08338i | − | 0.238980i | ||||||
\(77\) | −8.66622 | − | 1.37719i | −0.987607 | − | 0.156945i | ||||
\(78\) | −0.161101 | − | 0.170972i | −0.0182411 | − | 0.0193588i | ||||
\(79\) | 3.23727 | + | 0.688103i | 0.364221 | + | 0.0774176i | 0.386387 | − | 0.922337i | \(-0.373723\pi\) |
−0.0221658 | + | 0.999754i | \(0.507056\pi\) | |||||||
\(80\) | −0.375534 | + | 3.57297i | −0.0419860 | + | 0.399470i | ||||
\(81\) | −7.72978 | − | 4.60982i | −0.858865 | − | 0.512203i | ||||
\(82\) | 1.95955 | − | 1.76439i | 0.216397 | − | 0.194844i | ||||
\(83\) | 2.53408 | − | 7.79910i | 0.278152 | − | 0.856063i | −0.710217 | − | 0.703983i | \(-0.751403\pi\) |
0.988368 | − | 0.152079i | \(-0.0485970\pi\) | |||||||
\(84\) | 0.395977 | + | 4.56544i | 0.0432046 | + | 0.498130i | ||||
\(85\) | 12.7555 | + | 9.26745i | 1.38353 | + | 1.00520i | ||||
\(86\) | 1.63215 | − | 7.67866i | 0.175999 | − | 0.828012i | ||||
\(87\) | 11.9657 | + | 3.59048i | 1.28285 | + | 0.384940i | ||||
\(88\) | 2.65956 | + | 1.98160i | 0.283510 | + | 0.211240i | ||||
\(89\) | −5.67452 | + | 9.82856i | −0.601498 | + | 1.04183i | 0.391096 | + | 0.920350i | \(0.372096\pi\) |
−0.992594 | + | 0.121475i | \(0.961237\pi\) | |||||||
\(90\) | 2.71582 | + | 10.4302i | 0.286273 | + | 1.09944i | ||||
\(91\) | 0.0602119 | + | 0.353751i | 0.00631192 | + | 0.0370832i | ||||
\(92\) | 1.25388 | + | 1.72581i | 0.130726 | + | 0.179929i | ||||
\(93\) | 15.5959 | + | 1.28294i | 1.61722 | + | 0.133035i | ||||
\(94\) | 1.84999 | + | 8.70352i | 0.190812 | + | 0.897700i | ||||
\(95\) | −3.04436 | + | 6.83775i | −0.312345 | + | 0.701539i | ||||
\(96\) | 0.668483 | − | 1.59785i | 0.0682268 | − | 0.163080i | ||||
\(97\) | 14.9552 | − | 4.85925i | 1.51847 | − | 0.493382i | 0.573132 | − | 0.819463i | \(-0.305728\pi\) |
0.945342 | + | 0.326081i | \(0.105728\pi\) | |||||||
\(98\) | 3.35948 | − | 6.14116i | 0.339359 | − | 0.620351i | ||||
\(99\) | 9.55989 | + | 2.75836i | 0.960805 | + | 0.277226i | ||||
\(100\) | 3.95358 | − | 6.84780i | 0.395358 | − | 0.684780i | ||||
\(101\) | 1.69386 | − | 1.88122i | 0.168545 | − | 0.187189i | −0.652955 | − | 0.757397i | \(-0.726471\pi\) |
0.821500 | + | 0.570208i | \(0.193138\pi\) | |||||||
\(102\) | −4.60601 | − | 6.04683i | −0.456063 | − | 0.598725i | ||||
\(103\) | −11.2924 | + | 1.18688i | −1.11267 | + | 0.116947i | −0.642980 | − | 0.765883i | \(-0.722302\pi\) |
−0.469694 | + | 0.882830i | \(0.655636\pi\) | |||||||
\(104\) | 0.0419115 | − | 0.128990i | 0.00410976 | − | 0.0126485i | ||||
\(105\) | 5.37169 | − | 15.5626i | 0.524223 | − | 1.51876i | ||||
\(106\) | −6.30315 | + | 4.57950i | −0.612216 | + | 0.444801i | ||||
\(107\) | 5.85991 | + | 13.1616i | 0.566499 | + | 1.27238i | 0.938863 | + | 0.344290i | \(0.111880\pi\) |
−0.372365 | + | 0.928087i | \(0.621453\pi\) | |||||||
\(108\) | 0.191130 | − | 5.19264i | 0.0183915 | − | 0.499662i | ||||
\(109\) | 2.31685 | + | 4.01291i | 0.221914 | + | 0.384367i | 0.955389 | − | 0.295350i | \(-0.0954361\pi\) |
−0.733475 | + | 0.679717i | \(0.762103\pi\) | |||||||
\(110\) | −5.83316 | − | 10.3900i | −0.556170 | − | 0.990652i | ||||
\(111\) | −2.16768 | − | 2.30050i | −0.205747 | − | 0.218354i | ||||
\(112\) | −2.20218 | + | 1.46643i | −0.208086 | + | 0.138565i | ||||
\(113\) | 6.36475 | − | 8.76032i | 0.598745 | − | 0.824102i | −0.396848 | − | 0.917884i | \(-0.629896\pi\) |
0.995593 | + | 0.0937826i | \(0.0298959\pi\) | |||||||
\(114\) | 2.35323 | − | 2.73563i | 0.220401 | − | 0.256215i | ||||
\(115\) | −1.59342 | − | 7.49645i | −0.148587 | − | 0.699048i | ||||
\(116\) | 1.49960 | + | 7.05508i | 0.139235 | + | 0.655048i | ||||
\(117\) | −0.0184197 | − | 0.406468i | −0.00170291 | − | 0.0375780i | ||||
\(118\) | −7.13850 | + | 9.82531i | −0.657153 | + | 0.904493i | ||||
\(119\) | 0.741149 | + | 11.5875i | 0.0679410 | + | 1.06222i | ||||
\(120\) | −4.52888 | + | 4.26740i | −0.413428 | + | 0.389559i | ||||
\(121\) | −10.9968 | − | 0.264671i | −0.999710 | − | 0.0240610i | ||||
\(122\) | 0.132400 | + | 0.229323i | 0.0119869 | + | 0.0207619i | ||||
\(123\) | 4.56597 | − | 0.103404i | 0.411700 | − | 0.00932363i | ||||
\(124\) | 3.67474 | + | 8.25361i | 0.330002 | + | 0.741196i | ||||
\(125\) | −8.44970 | + | 6.13906i | −0.755764 | + | 0.549095i | ||||
\(126\) | −4.63684 | + | 6.44202i | −0.413083 | + | 0.573901i | ||||
\(127\) | −1.97723 | + | 6.08528i | −0.175450 | + | 0.539981i | −0.999654 | − | 0.0263131i | \(-0.991623\pi\) |
0.824203 | + | 0.566294i | \(0.191623\pi\) | |||||||
\(128\) | 0.994522 | − | 0.104528i | 0.0879041 | − | 0.00923910i | ||||
\(129\) | 10.8164 | − | 8.23910i | 0.952331 | − | 0.725412i | ||||
\(130\) | −0.326044 | + | 0.362109i | −0.0285960 | + | 0.0317591i | ||||
\(131\) | −6.54515 | + | 11.3365i | −0.571852 | + | 0.990478i | 0.424523 | + | 0.905417i | \(0.360442\pi\) |
−0.996376 | + | 0.0850605i | \(0.972892\pi\) | |||||||
\(132\) | 1.25392 | + | 5.60604i | 0.109140 | + | 0.487943i | ||||
\(133\) | −5.30750 | + | 1.48785i | −0.460219 | + | 0.129013i | ||||
\(134\) | −5.44228 | + | 1.76831i | −0.470142 | + | 0.152758i | ||||
\(135\) | −8.21511 | + | 16.7632i | −0.707044 | + | 1.44275i | ||||
\(136\) | 1.78500 | − | 4.00919i | 0.153063 | − | 0.343785i | ||||
\(137\) | 1.26830 | + | 5.96688i | 0.108358 | + | 0.509785i | 0.998532 | + | 0.0541642i | \(0.0172494\pi\) |
−0.890174 | + | 0.455621i | \(0.849417\pi\) | |||||||
\(138\) | −0.302922 | + | 3.68241i | −0.0257864 | + | 0.313468i | ||||
\(139\) | −11.1338 | − | 15.3244i | −0.944360 | − | 1.29980i | −0.953987 | − | 0.299847i | \(-0.903064\pi\) |
0.00962687 | − | 0.999954i | \(-0.496936\pi\) | |||||||
\(140\) | 9.37050 | − | 1.59495i | 0.791952 | − | 0.134798i | ||||
\(141\) | −7.40170 | + | 13.5180i | −0.623336 | + | 1.13842i | ||||
\(142\) | −5.59079 | + | 9.68353i | −0.469168 | + | 0.812624i | ||||
\(143\) | 0.133847 | + | 0.429454i | 0.0111929 | + | 0.0359127i | ||||
\(144\) | 2.68259 | − | 1.34303i | 0.223549 | − | 0.111919i | ||||
\(145\) | 5.38756 | − | 25.3465i | 0.447412 | − | 2.10491i | ||||
\(146\) | 3.20995 | + | 2.33216i | 0.265657 | + | 0.193011i | ||||
\(147\) | 11.3479 | − | 4.26918i | 0.935956 | − | 0.352116i | ||||
\(148\) | 0.563936 | − | 1.73562i | 0.0463553 | − | 0.142667i | ||||
\(149\) | −12.1365 | + | 10.9277i | −0.994259 | + | 0.895235i | −0.994497 | − | 0.104765i | \(-0.966591\pi\) |
0.000237865 | 1.00000i | \(0.499924\pi\) | ||||||||
\(150\) | 12.9261 | − | 4.52599i | 1.05541 | − | 0.369546i | ||||
\(151\) | −0.0690708 | + | 0.657164i | −0.00562090 | + | 0.0534793i | −0.996973 | − | 0.0777510i | \(-0.975226\pi\) |
0.991352 | + | 0.131230i | \(0.0418927\pi\) | |||||||
\(152\) | 2.03785 | + | 0.433159i | 0.165292 | + | 0.0351338i | ||||
\(153\) | 0.782037 | − | 13.1426i | 0.0632240 | − | 1.06251i | ||||
\(154\) | 3.14890 | − | 8.19051i | 0.253746 | − | 0.660010i | ||||
\(155\) | − | 32.4586i | − | 2.60713i | ||||||
\(156\) | 0.200731 | − | 0.122034i | 0.0160713 | − | 0.00977051i | ||||
\(157\) | 16.3505 | + | 1.71850i | 1.30491 | + | 0.137152i | 0.731344 | − | 0.682008i | \(-0.238893\pi\) |
0.573565 | + | 0.819160i | \(0.305560\pi\) | |||||||
\(158\) | −1.34613 | + | 3.02346i | −0.107093 | + | 0.240534i | ||||
\(159\) | −13.4492 | − | 1.10635i | −1.06659 | − | 0.0877395i | ||||
\(160\) | −3.41682 | − | 1.11019i | −0.270123 | − | 0.0877683i | ||||
\(161\) | 3.50113 | − | 4.42680i | 0.275928 | − | 0.348881i | ||||
\(162\) | 6.11620 | − | 6.60243i | 0.480534 | − | 0.518736i | ||||
\(163\) | 2.21660 | + | 0.471154i | 0.173618 | + | 0.0369036i | 0.293900 | − | 0.955836i | \(-0.405047\pi\) |
−0.120282 | + | 0.992740i | \(0.538380\pi\) | |||||||
\(164\) | 1.31842 | + | 2.28357i | 0.102951 | + | 0.178317i | ||||
\(165\) | 4.07648 | − | 20.2316i | 0.317354 | − | 1.57503i | ||||
\(166\) | 7.10181 | + | 4.10023i | 0.551207 | + | 0.318240i | ||||
\(167\) | −6.91160 | − | 21.2717i | −0.534836 | − | 1.64605i | −0.744004 | − | 0.668175i | \(-0.767076\pi\) |
0.209169 | − | 0.977880i | \(-0.432924\pi\) | |||||||
\(168\) | −4.54800 | − | 0.561884i | −0.350886 | − | 0.0433503i | ||||
\(169\) | −10.5023 | + | 7.63040i | −0.807872 | + | 0.586954i | ||||
\(170\) | −11.7170 | + | 10.5500i | −0.898650 | + | 0.809148i | ||||
\(171\) | 6.17995 | − | 0.934042i | 0.472592 | − | 0.0714279i | ||||
\(172\) | 7.17152 | + | 3.19297i | 0.546824 | + | 0.243462i | ||||
\(173\) | 19.0710 | − | 8.49095i | 1.44994 | − | 0.645555i | 0.477484 | − | 0.878641i | \(-0.341549\pi\) |
0.972456 | + | 0.233086i | \(0.0748823\pi\) | |||||||
\(174\) | −5.99982 | + | 10.9577i | −0.454845 | + | 0.830701i | ||||
\(175\) | −20.2685 | − | 5.18156i | −1.53216 | − | 0.391689i | ||||
\(176\) | −2.49125 | + | 2.18944i | −0.187785 | + | 0.165035i | ||||
\(177\) | −20.4714 | + | 4.83822i | −1.53872 | + | 0.363663i | ||||
\(178\) | −8.43398 | − | 7.59399i | −0.632154 | − | 0.569194i | ||||
\(179\) | −11.9244 | − | 1.25331i | −0.891275 | − | 0.0936767i | −0.352190 | − | 0.935928i | \(-0.614563\pi\) |
−0.539084 | + | 0.842252i | \(0.681230\pi\) | |||||||
\(180\) | −10.7669 | + | 0.487920i | −0.802518 | + | 0.0363674i | ||||
\(181\) | 22.5460 | + | 7.32565i | 1.67583 | + | 0.544511i | 0.984096 | − | 0.177638i | \(-0.0568456\pi\) |
0.691737 | + | 0.722149i | \(0.256846\pi\) | |||||||
\(182\) | −0.358540 | − | 0.0146529i | −0.0265767 | − | 0.00108614i | ||||
\(183\) | −0.0851762 | + | 0.450668i | −0.00629641 | + | 0.0333143i | ||||
\(184\) | −1.94880 | + | 0.867660i | −0.143667 | + | 0.0639647i | ||||
\(185\) | −4.38706 | + | 4.87232i | −0.322543 | + | 0.358220i | ||||
\(186\) | −4.49748 | + | 14.9883i | −0.329771 | + | 1.09900i | ||||
\(187\) | 2.85471 | + | 14.2727i | 0.208757 | + | 1.04372i | ||||
\(188\) | −8.89797 | −0.648951 | ||||||||
\(189\) | −13.3650 | + | 3.22141i | −0.972159 | + | 0.234323i | ||||
\(190\) | −6.05537 | − | 4.39949i | −0.439303 | − | 0.319172i | ||||
\(191\) | 8.44651 | − | 0.887764i | 0.611168 | − | 0.0642363i | 0.206112 | − | 0.978528i | \(-0.433919\pi\) |
0.405056 | + | 0.914292i | \(0.367252\pi\) | |||||||
\(192\) | 1.42395 | + | 0.986087i | 0.102765 | + | 0.0711647i | ||||
\(193\) | 11.2119 | − | 2.38317i | 0.807053 | − | 0.171544i | 0.214132 | − | 0.976805i | \(-0.431308\pi\) |
0.592921 | + | 0.805260i | \(0.297974\pi\) | |||||||
\(194\) | 1.64370 | + | 15.6387i | 0.118010 | + | 1.12279i | ||||
\(195\) | −0.837133 | + | 0.107200i | −0.0599483 | + | 0.00767673i | ||||
\(196\) | 5.30849 | + | 4.56289i | 0.379178 | + | 0.325920i | ||||
\(197\) | 10.1437i | 0.722706i | 0.932429 | + | 0.361353i | \(0.117685\pi\) | ||||
−0.932429 | + | 0.361353i | \(0.882315\pi\) | |||||||
\(198\) | −4.68570 | + | 8.77749i | −0.332998 | + | 0.623789i | ||||
\(199\) | 5.62200 | − | 3.24586i | 0.398533 | − | 0.230093i | −0.287318 | − | 0.957835i | \(-0.592764\pi\) |
0.685851 | + | 0.727742i | \(0.259430\pi\) | |||||||
\(200\) | 5.87616 | + | 5.29092i | 0.415507 | + | 0.374125i | ||||
\(201\) | −9.14348 | − | 3.82530i | −0.644931 | − | 0.269816i | ||||
\(202\) | 1.48794 | + | 2.04797i | 0.104691 | + | 0.144095i | ||||
\(203\) | 16.9022 | − | 8.85870i | 1.18630 | − | 0.621759i | ||||
\(204\) | 6.87234 | − | 3.24815i | 0.481160 | − | 0.227416i | ||||
\(205\) | −0.990225 | − | 9.42136i | −0.0691603 | − | 0.658016i | ||||
\(206\) | 1.18688 | − | 11.2924i | 0.0826938 | − | 0.786779i | ||||
\(207\) | −4.55715 | + | 4.49312i | −0.316744 | + | 0.312294i | ||||
\(208\) | 0.117458 | + | 0.0678142i | 0.00814422 | + | 0.00470207i | ||||
\(209\) | −6.34576 | + | 2.73431i | −0.438945 | + | 0.189136i | ||||
\(210\) | 14.1057 | + | 8.48996i | 0.973386 | + | 0.585863i | ||||
\(211\) | −8.87569 | − | 27.3166i | −0.611028 | − | 1.88055i | −0.448311 | − | 0.893878i | \(-0.647974\pi\) |
−0.162717 | − | 0.986673i | \(-0.552026\pi\) | |||||||
\(212\) | −3.16893 | − | 7.11754i | −0.217643 | − | 0.488835i | ||||
\(213\) | −18.2789 | + | 6.40024i | −1.25245 | + | 0.438537i | ||||
\(214\) | −14.0923 | + | 2.99541i | −0.963330 | + | 0.204762i | ||||
\(215\) | −18.8715 | − | 20.9590i | −1.28703 | − | 1.42939i | ||||
\(216\) | 5.03943 | + | 1.26656i | 0.342890 | + | 0.0861787i | ||||
\(217\) | 18.4021 | − | 15.2559i | 1.24922 | − | 1.03564i | ||||
\(218\) | −4.40692 | + | 1.43189i | −0.298474 | + | 0.0969802i | ||||
\(219\) | 1.58066 | + | 6.68804i | 0.106811 | + | 0.451936i | ||||
\(220\) | 11.3758 | − | 3.54548i | 0.766955 | − | 0.239036i | ||||
\(221\) | 0.515474 | − | 0.297609i | 0.0346746 | − | 0.0200194i | ||||
\(222\) | 2.70092 | − | 1.64201i | 0.181274 | − | 0.110205i | ||||
\(223\) | 6.44688 | − | 8.87337i | 0.431715 | − | 0.594205i | −0.536631 | − | 0.843817i | \(-0.680303\pi\) |
0.968346 | + | 0.249613i | \(0.0803032\pi\) | |||||||
\(224\) | −0.976530 | − | 2.45894i | −0.0652471 | − | 0.164295i | ||||
\(225\) | 22.0852 | + | 8.65746i | 1.47235 | + | 0.577164i | ||||
\(226\) | 7.24558 | + | 8.04704i | 0.481969 | + | 0.535281i | ||||
\(227\) | 2.32583 | + | 1.03553i | 0.154371 | + | 0.0687304i | 0.482468 | − | 0.875914i | \(-0.339741\pi\) |
−0.328097 | + | 0.944644i | \(0.606407\pi\) | |||||||
\(228\) | 2.18659 | + | 2.87058i | 0.144810 | + | 0.190109i | ||||
\(229\) | −1.36050 | + | 6.40065i | −0.0899043 | + | 0.422967i | 0.910060 | + | 0.414477i | \(0.136036\pi\) |
−0.999964 | + | 0.00848927i | \(0.997298\pi\) | |||||||
\(230\) | 7.66393 | 0.505345 | ||||||||
\(231\) | 13.3862 | − | 7.19797i | 0.880744 | − | 0.473592i | ||||
\(232\) | −7.21269 | −0.473537 | ||||||||
\(233\) | 1.81542 | − | 8.54087i | 0.118932 | − | 0.559531i | −0.877819 | − | 0.478992i | \(-0.841002\pi\) |
0.996751 | − | 0.0805393i | \(-0.0256643\pi\) | |||||||
\(234\) | 0.401415 | + | 0.0664922i | 0.0262413 | + | 0.00434673i | ||||
\(235\) | 29.2036 | + | 13.0023i | 1.90503 | + | 0.848175i | ||||
\(236\) | −8.12642 | − | 9.02531i | −0.528985 | − | 0.587497i | ||||
\(237\) | −5.18266 | + | 2.44954i | −0.336650 | + | 0.159115i | ||||
\(238\) | −11.4883 | − | 1.68422i | −0.744679 | − | 0.109172i | ||||
\(239\) | −12.4991 | + | 17.2036i | −0.808502 | + | 1.11281i | 0.183050 | + | 0.983104i | \(0.441403\pi\) |
−0.991553 | + | 0.129704i | \(0.958597\pi\) | |||||||
\(240\) | −3.23254 | − | 5.31715i | −0.208660 | − | 0.343221i | ||||
\(241\) | −12.5972 | + | 7.27299i | −0.811456 | + | 0.468494i | −0.847461 | − | 0.530857i | \(-0.821870\pi\) |
0.0360053 | + | 0.999352i | \(0.488537\pi\) | |||||||
\(242\) | 2.54525 | − | 10.7015i | 0.163615 | − | 0.687917i | ||||
\(243\) | 15.4887 | − | 1.76106i | 0.993598 | − | 0.112972i | ||||
\(244\) | −0.251839 | + | 0.0818275i | −0.0161224 | + | 0.00523847i | ||||
\(245\) | −10.7552 | − | 22.7327i | −0.687122 | − | 1.45234i | ||||
\(246\) | −0.848174 | + | 4.48769i | −0.0540776 | + | 0.286125i | ||||
\(247\) | 0.189073 | + | 0.209987i | 0.0120304 | + | 0.0133611i | ||||
\(248\) | −8.83727 | + | 1.87842i | −0.561167 | + | 0.119280i | ||||
\(249\) | 4.69388 | + | 13.4056i | 0.297462 | + | 0.849546i | ||||
\(250\) | −4.24812 | − | 9.54143i | −0.268675 | − | 0.603453i | ||||
\(251\) | 4.17665 | + | 12.8544i | 0.263628 | + | 0.811364i | 0.992006 | + | 0.126189i | \(0.0402744\pi\) |
−0.728378 | + | 0.685175i | \(0.759726\pi\) | |||||||
\(252\) | −5.33720 | − | 5.87489i | −0.336212 | − | 0.370083i | ||||
\(253\) | 3.61101 | − | 6.08421i | 0.227022 | − | 0.382511i | ||||
\(254\) | −5.54121 | − | 3.19922i | −0.347686 | − | 0.200737i | ||||
\(255\) | −27.3018 | + | 0.618294i | −1.70970 | + | 0.0387191i | ||||
\(256\) | −0.104528 | + | 0.994522i | −0.00653303 | + | 0.0621576i | ||||
\(257\) | 0.921368 | + | 8.76623i | 0.0574734 | + | 0.546822i | 0.984938 | + | 0.172910i | \(0.0553171\pi\) |
−0.927464 | + | 0.373912i | \(0.878016\pi\) | |||||||
\(258\) | 5.81020 | + | 12.2930i | 0.361727 | + | 0.765332i | ||||
\(259\) | −4.82430 | − | 0.197160i | −0.299767 | − | 0.0122510i | ||||
\(260\) | −0.286408 | − | 0.394206i | −0.0177622 | − | 0.0244476i | ||||
\(261\) | −20.2552 | + | 7.61130i | −1.25377 | + | 0.471127i | ||||
\(262\) | −9.72799 | − | 8.75912i | −0.600997 | − | 0.541140i | ||||
\(263\) | −2.81687 | + | 1.62632i | −0.173695 | + | 0.100283i | −0.584327 | − | 0.811518i | \(-0.698642\pi\) |
0.410632 | + | 0.911801i | \(0.365308\pi\) | |||||||
\(264\) | −5.74424 | + | 0.0609553i | −0.353533 | + | 0.00375154i | ||||
\(265\) | 27.9908i | 1.71946i | ||||||||
\(266\) | −0.351842 | − | 5.50086i | −0.0215728 | − | 0.337279i | ||||
\(267\) | −2.49682 | − | 19.4979i | −0.152803 | − | 1.19325i | ||||
\(268\) | −0.598149 | − | 5.69101i | −0.0365378 | − | 0.347634i | ||||
\(269\) | 6.29580 | − | 1.33821i | 0.383862 | − | 0.0815924i | −0.0119390 | − | 0.999929i | \(-0.503800\pi\) |
0.395801 | + | 0.918336i | \(0.370467\pi\) | |||||||
\(270\) | −14.6889 | − | 11.5209i | −0.893936 | − | 0.701137i | ||||
\(271\) | 3.80854 | − | 0.400294i | 0.231352 | − | 0.0243161i | 0.0118573 | − | 0.999930i | \(-0.496226\pi\) |
0.219495 | + | 0.975614i | \(0.429559\pi\) | |||||||
\(272\) | 3.55045 | + | 2.57955i | 0.215278 | + | 0.156408i | ||||
\(273\) | −0.454238 | − | 0.424221i | −0.0274918 | − | 0.0256750i | ||||
\(274\) | −6.10019 | −0.368526 | ||||||||
\(275\) | −26.0465 | − | 3.05486i | −1.57067 | − | 0.184215i | ||||
\(276\) | −3.53896 | − | 1.06192i | −0.213020 | − | 0.0639200i | ||||
\(277\) | −11.6449 | + | 12.9330i | −0.699675 | + | 0.777068i | −0.983324 | − | 0.181860i | \(-0.941788\pi\) |
0.283650 | + | 0.958928i | \(0.408455\pi\) | |||||||
\(278\) | 17.3044 | − | 7.70442i | 1.03785 | − | 0.462080i | ||||
\(279\) | −22.8353 | + | 14.6008i | −1.36711 | + | 0.874126i | ||||
\(280\) | −0.388139 | + | 9.49734i | −0.0231958 | + | 0.567575i | ||||
\(281\) | −13.0434 | − | 4.23806i | −0.778105 | − | 0.252822i | −0.107074 | − | 0.994251i | \(-0.534148\pi\) |
−0.671031 | + | 0.741429i | \(0.734148\pi\) | |||||||
\(282\) | −11.6837 | − | 10.0505i | −0.695754 | − | 0.598499i | ||||
\(283\) | −24.2105 | − | 2.54463i | −1.43917 | − | 0.151262i | −0.647429 | − | 0.762125i | \(-0.724156\pi\) |
−0.791736 | + | 0.610863i | \(0.790823\pi\) | |||||||
\(284\) | −8.30953 | − | 7.48193i | −0.493080 | − | 0.443971i | ||||
\(285\) | −2.98181 | − | 12.6166i | −0.176627 | − | 0.747341i | ||||
\(286\) | −0.447897 | + | 0.0416341i | −0.0264847 | + | 0.00246187i | ||||
\(287\) | 4.87595 | − | 4.98955i | 0.287818 | − | 0.294524i | ||||
\(288\) | 0.755938 | + | 2.90320i | 0.0445441 | + | 0.171073i | ||||
\(289\) | 2.06445 | − | 0.919150i | 0.121438 | − | 0.0540677i | ||||
\(290\) | 23.6724 | + | 10.5396i | 1.39009 | + | 0.618909i | ||||
\(291\) | −15.5061 | + | 22.3914i | −0.908983 | + | 1.31261i | ||||
\(292\) | −2.94859 | + | 2.65492i | −0.172553 | + | 0.155367i | ||||
\(293\) | 11.8043 | − | 8.57629i | 0.689612 | − | 0.501032i | −0.186921 | − | 0.982375i | \(-0.559851\pi\) |
0.876532 | + | 0.481343i | \(0.159851\pi\) | |||||||
\(294\) | 1.81653 | + | 11.9875i | 0.105942 | + | 0.699125i | ||||
\(295\) | 13.4830 | + | 41.4964i | 0.785010 | + | 2.41601i | ||||
\(296\) | 1.58044 | + | 0.912468i | 0.0918612 | + | 0.0530361i | ||||
\(297\) | −16.0671 | + | 6.23287i | −0.932307 | + | 0.361668i | ||||
\(298\) | −8.16562 | − | 14.1433i | −0.473022 | − | 0.819298i | ||||
\(299\) | −0.283003 | − | 0.0601542i | −0.0163665 | − | 0.00347880i | ||||
\(300\) | 1.73959 | + | 13.5847i | 0.100436 | + | 0.784311i | ||||
\(301\) | 3.01268 | − | 20.5500i | 0.173648 | − | 1.18448i | ||||
\(302\) | −0.628443 | − | 0.204194i | −0.0361628 | − | 0.0117500i | ||||
\(303\) | −0.359468 | + | 4.36981i | −0.0206509 | + | 0.251039i | ||||
\(304\) | −0.847386 | + | 1.90326i | −0.0486009 | + | 0.109159i | ||||
\(305\) | 0.946121 | + | 0.0994413i | 0.0541747 | + | 0.00569399i | ||||
\(306\) | 12.6928 | + | 3.49744i | 0.725597 | + | 0.199935i | ||||
\(307\) | − | 5.17001i | − | 0.295068i | −0.989057 | − | 0.147534i | \(-0.952866\pi\) | ||
0.989057 | − | 0.147534i | \(-0.0471336\pi\) | |||||||
\(308\) | 7.35683 | + | 4.78299i | 0.419194 | + | 0.272536i | ||||
\(309\) | 14.3136 | − | 13.4872i | 0.814270 | − | 0.767258i | ||||
\(310\) | 31.7493 | + | 6.74851i | 1.80324 | + | 0.383290i | ||||
\(311\) | 0.943611 | − | 8.97786i | 0.0535073 | − | 0.509088i | −0.934642 | − | 0.355591i | \(-0.884280\pi\) |
0.988149 | − | 0.153497i | \(-0.0490536\pi\) | |||||||
\(312\) | 0.0776325 | + | 0.221717i | 0.00439508 | + | 0.0125522i | ||||
\(313\) | −23.8919 | + | 21.5124i | −1.35045 | + | 1.21595i | −0.395759 | + | 0.918354i | \(0.629519\pi\) |
−0.954692 | + | 0.297597i | \(0.903815\pi\) | |||||||
\(314\) | −5.08040 | + | 15.6359i | −0.286704 | + | 0.882384i | ||||
\(315\) | 8.93220 | + | 27.0807i | 0.503272 | + | 1.52583i | ||||
\(316\) | −2.67752 | − | 1.94533i | −0.150622 | − | 0.109433i | ||||
\(317\) | 1.79420 | − | 8.44103i | 0.100772 | − | 0.474096i | −0.898603 | − | 0.438762i | \(-0.855417\pi\) |
0.999376 | − | 0.0353338i | \(-0.0112494\pi\) | |||||||
\(318\) | 3.87842 | − | 12.9253i | 0.217491 | − | 0.724813i | ||||
\(319\) | 19.5209 | − | 13.8270i | 1.09296 | − | 0.774165i | ||||
\(320\) | 1.79633 | − | 3.11133i | 0.100418 | − | 0.173929i | ||||
\(321\) | −21.8876 | − | 11.9845i | −1.22165 | − | 0.668907i | ||||
\(322\) | 3.60214 | + | 4.34501i | 0.200739 | + | 0.242138i | ||||
\(323\) | 5.37419 | + | 7.39693i | 0.299028 | + | 0.411576i | ||||
\(324\) | 5.18652 | + | 7.35527i | 0.288140 | + | 0.408626i | ||||
\(325\) | 0.222972 | + | 1.04900i | 0.0123682 | + | 0.0581880i | ||||
\(326\) | −0.921716 | + | 2.07021i | −0.0510491 | + | 0.114658i | ||||
\(327\) | −7.40398 | − | 3.09756i | −0.409441 | − | 0.171295i | ||||
\(328\) | −2.50778 | + | 0.814829i | −0.138469 | + | 0.0449914i | ||||
\(329\) | 6.35449 | + | 22.6680i | 0.350334 | + | 1.24973i | ||||
\(330\) | 18.9420 | + | 8.19379i | 1.04272 | + | 0.451053i | ||||
\(331\) | 14.2009 | − | 24.5966i | 0.780551 | − | 1.35195i | −0.151070 | − | 0.988523i | \(-0.548272\pi\) |
0.931621 | − | 0.363431i | \(-0.118395\pi\) | |||||||
\(332\) | −5.48718 | + | 6.09413i | −0.301148 | + | 0.334459i | ||||
\(333\) | 5.40121 | + | 0.894680i | 0.295984 | + | 0.0490282i | ||||
\(334\) | 22.2439 | − | 2.33793i | 1.21713 | − | 0.127926i | ||||
\(335\) | −6.35291 | + | 19.5522i | −0.347096 | + | 1.06825i | ||||
\(336\) | 1.49519 | − | 4.33179i | 0.0815692 | − | 0.236319i | ||||
\(337\) | −9.46724 | + | 6.87835i | −0.515713 | + | 0.374688i | −0.814987 | − | 0.579480i | \(-0.803256\pi\) |
0.299273 | + | 0.954167i | \(0.403256\pi\) | |||||||
\(338\) | −5.28009 | − | 11.8593i | −0.287199 | − | 0.645060i | ||||
\(339\) | 0.424636 | + | 18.7505i | 0.0230630 | + | 1.01838i | ||||
\(340\) | −7.88336 | − | 13.6544i | −0.427535 | − | 0.740513i | ||||
\(341\) | 20.3168 | − | 22.0253i | 1.10022 | − | 1.19274i | ||||
\(342\) | −0.371253 | + | 6.23910i | −0.0200750 | + | 0.337372i | ||||
\(343\) | 7.83310 | − | 16.7822i | 0.422948 | − | 0.906154i | ||||
\(344\) | −4.61424 | + | 6.35095i | −0.248783 | + | 0.342420i | ||||
\(345\) | 10.0633 | + | 8.65663i | 0.541790 | + | 0.466057i | ||||
\(346\) | 4.34032 | + | 20.4196i | 0.233337 | + | 1.09776i | ||||
\(347\) | −0.951803 | − | 4.47788i | −0.0510955 | − | 0.240385i | 0.945187 | − | 0.326529i | \(-0.105879\pi\) |
−0.996283 | + | 0.0861434i | \(0.972546\pi\) | |||||||
\(348\) | −9.47081 | − | 8.14695i | −0.507689 | − | 0.436722i | ||||
\(349\) | 8.57284 | − | 11.7995i | 0.458894 | − | 0.631613i | −0.515385 | − | 0.856959i | \(-0.672351\pi\) |
0.974279 | + | 0.225346i | \(0.0723511\pi\) | |||||||
\(350\) | 9.28239 | − | 18.7483i | 0.496165 | − | 1.00214i | ||||
\(351\) | 0.451983 | + | 0.540719i | 0.0241251 | + | 0.0288615i | ||||
\(352\) | −1.62363 | − | 2.89203i | −0.0865400 | − | 0.154145i | ||||
\(353\) | 5.74609 | + | 9.95253i | 0.305834 | + | 0.529720i | 0.977447 | − | 0.211183i | \(-0.0677315\pi\) |
−0.671613 | + | 0.740902i | \(0.734398\pi\) | |||||||
\(354\) | −0.476258 | − | 21.0299i | −0.0253128 | − | 1.11773i | ||||
\(355\) | 16.3392 | + | 36.6985i | 0.867196 | + | 1.94775i | ||||
\(356\) | 9.18157 | − | 6.67080i | 0.486622 | − | 0.353552i | ||||
\(357\) | −13.1827 | − | 15.1879i | −0.697702 | − | 0.803830i | ||||
\(358\) | 3.70515 | − | 11.4033i | 0.195823 | − | 0.602682i | ||||
\(359\) | 11.8785 | − | 1.24848i | 0.626921 | − | 0.0658920i | 0.214260 | − | 0.976777i | \(-0.431266\pi\) |
0.412661 | + | 0.910885i | \(0.364599\pi\) | |||||||
\(360\) | 1.76131 | − | 10.6331i | 0.0928291 | − | 0.560412i | ||||
\(361\) | 9.80914 | − | 10.8942i | 0.516271 | − | 0.573377i | ||||
\(362\) | −11.8531 | + | 20.5303i | −0.622988 | + | 1.07905i | ||||
\(363\) | 15.4297 | − | 11.1769i | 0.809851 | − | 0.586635i | ||||
\(364\) | 0.0888772 | − | 0.347658i | 0.00465843 | − | 0.0182222i | ||||
\(365\) | 13.5570 | − | 4.40492i | 0.709603 | − | 0.230564i | ||||
\(366\) | −0.423110 | − | 0.177014i | −0.0221163 | − | 0.00925267i | ||||
\(367\) | −10.1988 | + | 22.9068i | −0.532372 | + | 1.19573i | 0.424556 | + | 0.905402i | \(0.360430\pi\) |
−0.956928 | + | 0.290325i | \(0.906237\pi\) | |||||||
\(368\) | −0.443522 | − | 2.08661i | −0.0231202 | − | 0.108772i | ||||
\(369\) | −6.18269 | + | 4.93464i | −0.321858 | + | 0.256887i | ||||
\(370\) | −3.85373 | − | 5.30421i | −0.200346 | − | 0.275753i | ||||
\(371\) | −15.8692 | + | 13.1560i | −0.823886 | + | 0.683026i | ||||
\(372\) | −13.7257 | − | 7.51545i | −0.711646 | − | 0.389658i | ||||
\(373\) | 12.5537 | − | 21.7436i | 0.650006 | − | 1.12584i | −0.333115 | − | 0.942886i | \(-0.608100\pi\) |
0.983121 | − | 0.182957i | \(-0.0585669\pi\) | |||||||
\(374\) | −14.5543 | − | 0.175121i | −0.752584 | − | 0.00905527i | ||||
\(375\) | 5.19922 | − | 17.3270i | 0.268487 | − | 0.894762i | ||||
\(376\) | 1.84999 | − | 8.70352i | 0.0954060 | − | 0.448850i | ||||
\(377\) | −0.791418 | − | 0.574998i | −0.0407601 | − | 0.0296139i | ||||
\(378\) | −0.372283 | − | 13.7427i | −0.0191482 | − | 0.706847i | ||||
\(379\) | 9.00339 | − | 27.7096i | 0.462473 | − | 1.42335i | −0.399660 | − | 0.916663i | \(-0.630872\pi\) |
0.862133 | − | 0.506682i | \(-0.169128\pi\) | |||||||
\(380\) | 5.56233 | − | 5.00834i | 0.285342 | − | 0.256923i | ||||
\(381\) | −3.66241 | − | 10.4598i | −0.187631 | − | 0.535870i | ||||
\(382\) | −0.887764 | + | 8.44651i | −0.0454219 | + | 0.432161i | ||||
\(383\) | 25.1874 | + | 5.35375i | 1.28702 | + | 0.273564i | 0.800091 | − | 0.599879i | \(-0.204785\pi\) |
0.486927 | + | 0.873443i | \(0.338118\pi\) | |||||||
\(384\) | −1.26059 | + | 1.18781i | −0.0643294 | + | 0.0606154i | ||||
\(385\) | −17.1563 | − | 26.4483i | −0.874365 | − | 1.34793i | ||||
\(386\) | 11.4624i | 0.583422i | ||||||||
\(387\) | −6.25612 | + | 22.7045i | −0.318017 | + | 1.15413i | ||||
\(388\) | −15.6387 | − | 1.64370i | −0.793936 | − | 0.0834460i | ||||
\(389\) | −0.908772 | + | 2.04114i | −0.0460766 | + | 0.103490i | −0.935117 | − | 0.354339i | \(-0.884706\pi\) |
0.889041 | + | 0.457829i | \(0.151373\pi\) | |||||||
\(390\) | 0.0691926 | − | 0.841128i | 0.00350370 | − | 0.0425922i | ||||
\(391\) | −8.90366 | − | 2.89297i | −0.450278 | − | 0.146304i | ||||
\(392\) | −5.56687 | + | 4.24381i | −0.281170 | + | 0.214345i | ||||
\(393\) | −2.87990 | − | 22.4894i | −0.145272 | − | 1.13444i | ||||
\(394\) | −9.92200 | − | 2.10899i | −0.499863 | − | 0.106249i | ||||
\(395\) | 5.94511 | + | 10.2972i | 0.299131 | + | 0.518110i | ||||
\(396\) | −7.61147 | − | 6.40824i | −0.382491 | − | 0.322026i | ||||
\(397\) | 5.09935 | + | 2.94411i | 0.255929 | + | 0.147761i | 0.622476 | − | 0.782639i | \(-0.286127\pi\) |
−0.366547 | + | 0.930400i | \(0.619460\pi\) | |||||||
\(398\) | 2.00605 | + | 6.17399i | 0.100554 | + | 0.309474i | ||||
\(399\) | 5.75138 | − | 7.62045i | 0.287929 | − | 0.381500i | ||||
\(400\) | −6.39702 | + | 4.64771i | −0.319851 | + | 0.232385i | ||||
\(401\) | 3.16147 | − | 2.84660i | 0.157876 | − | 0.142153i | −0.586407 | − | 0.810017i | \(-0.699458\pi\) |
0.744283 | + | 0.667864i | \(0.232791\pi\) | |||||||
\(402\) | 5.64274 | − | 8.14835i | 0.281434 | − | 0.406403i | ||||
\(403\) | −1.11942 | − | 0.498400i | −0.0557625 | − | 0.0248270i | ||||
\(404\) | −2.31258 | + | 1.02963i | −0.115055 | + | 0.0512259i | ||||
\(405\) | −6.27445 | − | 31.7192i | −0.311780 | − | 1.57614i | ||||
\(406\) | 5.15095 | + | 18.3747i | 0.255638 | + | 0.911920i | ||||
\(407\) | −6.02664 | + | 0.560203i | −0.298730 | + | 0.0277683i | ||||
\(408\) | 1.74833 | + | 7.39749i | 0.0865552 | + | 0.366230i | ||||
\(409\) | 11.2471 | + | 10.1270i | 0.556135 | + | 0.500746i | 0.898591 | − | 0.438788i | \(-0.144592\pi\) |
−0.342456 | + | 0.939534i | \(0.611259\pi\) | |||||||
\(410\) | 9.42136 | + | 0.990225i | 0.465288 | + | 0.0489037i | ||||
\(411\) | −8.01000 | − | 6.89034i | −0.395104 | − | 0.339875i | ||||
\(412\) | 10.7989 | + | 3.50877i | 0.532022 | + | 0.172865i | ||||
\(413\) | −17.1889 | + | 27.1479i | −0.845810 | + | 1.33586i | ||||
\(414\) | −3.44745 | − | 5.39174i | −0.169433 | − | 0.264989i | ||||
\(415\) | 26.9143 | − | 11.9830i | 1.32117 | − | 0.588224i | ||||
\(416\) | −0.0907531 | + | 0.100792i | −0.00444954 | + | 0.00494171i | ||||
\(417\) | 31.4243 | + | 9.42934i | 1.53886 | + | 0.461757i | ||||
\(418\) | −1.35520 | − | 6.77558i | −0.0662852 | − | 0.331405i | ||||
\(419\) | 12.1453 | 0.593339 | 0.296669 | − | 0.954980i | \(-0.404124\pi\) | ||||
0.296669 | + | 0.954980i | \(0.404124\pi\) | |||||||
\(420\) | −11.2372 | + | 12.0323i | −0.548318 | + | 0.587116i | ||||
\(421\) | −9.63976 | − | 7.00369i | −0.469813 | − | 0.341339i | 0.327555 | − | 0.944832i | \(-0.393775\pi\) |
−0.797368 | + | 0.603493i | \(0.793775\pi\) | |||||||
\(422\) | 28.5650 | − | 3.00230i | 1.39052 | − | 0.146150i | ||||
\(423\) | −3.98923 | − | 26.3941i | −0.193963 | − | 1.28333i | ||||
\(424\) | 7.62086 | − | 1.61986i | 0.370102 | − | 0.0786676i | ||||
\(425\) | 3.62728 | + | 34.5113i | 0.175949 | + | 1.67404i | ||||
\(426\) | −2.45997 | − | 19.2102i | −0.119186 | − | 0.930737i | ||||
\(427\) | 0.388311 | + | 0.583135i | 0.0187917 | + | 0.0282199i | ||||
\(428\) | − | 14.4071i | − | 0.696395i | ||||||
\(429\) | −0.635150 | − | 0.451244i | −0.0306653 | − | 0.0217863i | ||||
\(430\) | 24.4246 | − | 14.1015i | 1.17786 | − | 0.680037i | ||||
\(431\) | 7.81330 | + | 7.03513i | 0.376353 | + | 0.338870i | 0.835500 | − | 0.549490i | \(-0.185178\pi\) |
−0.459147 | + | 0.888361i | \(0.651845\pi\) | |||||||
\(432\) | −2.28664 | + | 4.66597i | −0.110016 | + | 0.224492i | ||||
\(433\) | −1.60967 | − | 2.21552i | −0.0773557 | − | 0.106471i | 0.768586 | − | 0.639747i | \(-0.220961\pi\) |
−0.845941 | + | 0.533276i | \(0.820961\pi\) | |||||||
\(434\) | 11.0965 | + | 21.1719i | 0.532649 | + | 1.01628i | ||||
\(435\) | 19.1788 | + | 40.5780i | 0.919555 | + | 1.94557i | ||||
\(436\) | −0.484354 | − | 4.60832i | −0.0231964 | − | 0.220699i | ||||
\(437\) | 0.464557 | − | 4.41996i | 0.0222228 | − | 0.211436i | ||||
\(438\) | −6.87052 | + | 0.155595i | −0.328286 | + | 0.00743460i | ||||
\(439\) | 26.8106 | + | 15.4791i | 1.27960 | + | 0.738778i | 0.976775 | − | 0.214267i | \(-0.0687364\pi\) |
0.302826 | + | 0.953046i | \(0.402070\pi\) | |||||||
\(440\) | 1.10284 | + | 11.8643i | 0.0525760 | + | 0.565610i | ||||
\(441\) | −11.1550 | + | 17.7923i | −0.531190 | + | 0.847253i | ||||
\(442\) | 0.183933 | + | 0.566087i | 0.00874879 | + | 0.0269260i | ||||
\(443\) | 8.40843 | + | 18.8856i | 0.399496 | + | 0.897284i | 0.995541 | + | 0.0943322i | \(0.0300716\pi\) |
−0.596044 | + | 0.802952i | \(0.703262\pi\) | |||||||
\(444\) | 1.04458 | + | 2.98329i | 0.0495735 | + | 0.141581i | ||||
\(445\) | −39.8822 | + | 8.47722i | −1.89060 | + | 0.401859i | ||||
\(446\) | 7.33908 | + | 8.15087i | 0.347516 | + | 0.385955i | ||||
\(447\) | 5.25316 | − | 27.7945i | 0.248466 | − | 1.31463i | ||||
\(448\) | 2.60824 | − | 0.443948i | 0.123228 | − | 0.0209746i | ||||
\(449\) | −20.9320 | + | 6.80123i | −0.987844 | + | 0.320970i | −0.757998 | − | 0.652257i | \(-0.773822\pi\) |
−0.229846 | + | 0.973227i | \(0.573822\pi\) | |||||||
\(450\) | −13.0601 | + | 19.8026i | −0.615657 | + | 0.933504i | ||||
\(451\) | 5.22518 | − | 7.01283i | 0.246044 | − | 0.330221i | ||||
\(452\) | −9.37763 | + | 5.41418i | −0.441087 | + | 0.254661i | ||||
\(453\) | −0.594550 | − | 0.977966i | −0.0279344 | − | 0.0459489i | ||||
\(454\) | −1.49647 | + | 2.05971i | −0.0702326 | + | 0.0966669i | ||||
\(455\) | −0.799720 | + | 1.01116i | −0.0374914 | + | 0.0474039i | ||||
\(456\) | −3.26247 | + | 1.54198i | −0.152779 | + | 0.0722097i | ||||
\(457\) | −23.9040 | − | 26.5481i | −1.11818 | − | 1.24187i | −0.967388 | − | 0.253300i | \(-0.918484\pi\) |
−0.150793 | − | 0.988565i | \(-0.548183\pi\) | |||||||
\(458\) | −5.97791 | − | 2.66154i | −0.279330 | − | 0.124366i | ||||
\(459\) | 12.7161 | + | 18.9292i | 0.593536 | + | 0.883541i | ||||
\(460\) | −1.59342 | + | 7.49645i | −0.0742936 | + | 0.349524i | ||||
\(461\) | 14.9546 | 0.696505 | 0.348252 | − | 0.937401i | \(-0.386775\pi\) | ||||
0.348252 | + | 0.937401i | \(0.386775\pi\) | |||||||
\(462\) | 4.25754 | + | 14.5902i | 0.198079 | + | 0.678797i | ||||
\(463\) | −2.65847 | −0.123550 | −0.0617749 | − | 0.998090i | \(-0.519676\pi\) | ||||
−0.0617749 | + | 0.998090i | \(0.519676\pi\) | |||||||
\(464\) | 1.49960 | − | 7.05508i | 0.0696173 | − | 0.327524i | ||||
\(465\) | 34.0665 | + | 44.7230i | 1.57980 | + | 2.07398i | ||||
\(466\) | 7.97679 | + | 3.55149i | 0.369517 | + | 0.164520i | ||||
\(467\) | 3.24762 | + | 3.60685i | 0.150282 | + | 0.166905i | 0.813585 | − | 0.581446i | \(-0.197513\pi\) |
−0.663303 | + | 0.748351i | \(0.730846\pi\) | |||||||
\(468\) | −0.148498 | + | 0.378819i | −0.00686433 | + | 0.0175109i | ||||
\(469\) | −14.0709 | + | 5.58805i | −0.649735 | + | 0.258032i | ||||
\(470\) | −18.7899 | + | 25.8621i | −0.866714 | + | 1.19293i | ||||
\(471\) | −24.3321 | + | 14.7926i | −1.12117 | + | 0.681608i | ||||
\(472\) | 10.5177 | − | 6.07237i | 0.484115 | − | 0.279504i | ||||
\(473\) | 0.313251 | − | 26.0343i | 0.0144033 | − | 1.19706i | ||||
\(474\) | −1.31847 | − | 5.57870i | −0.0605595 | − | 0.256238i | ||||
\(475\) | −15.6673 | + | 5.09062i | −0.718866 | + | 0.233574i | ||||
\(476\) | 4.03597 | − | 10.8871i | 0.184989 | − | 0.499011i | ||||
\(477\) | 19.6921 | − | 12.5911i | 0.901640 | − | 0.576505i | ||||
\(478\) | −14.2289 | − | 15.8028i | −0.650816 | − | 0.722805i | ||||
\(479\) | 29.8316 | − | 6.34091i | 1.36304 | − | 0.289723i | 0.532382 | − | 0.846504i | \(-0.321297\pi\) |
0.830660 | + | 0.556781i | \(0.187964\pi\) | |||||||
\(480\) | 5.87305 | − | 2.05640i | 0.268067 | − | 0.0938616i | ||||
\(481\) | 0.100673 | + | 0.226114i | 0.00459027 | + | 0.0103099i | ||||
\(482\) | −4.49495 | − | 13.8340i | −0.204740 | − | 0.630123i | ||||
\(483\) | −0.177933 | + | 9.77404i | −0.00809625 | + | 0.444734i | ||||
\(484\) | 9.93844 | + | 4.71460i | 0.451747 | + | 0.214300i | ||||
\(485\) | 48.9252 | + | 28.2470i | 2.22158 | + | 1.28263i | ||||
\(486\) | −1.49769 | + | 15.5163i | −0.0679367 | + | 0.703836i | ||||
\(487\) | 1.83655 | − | 17.4736i | 0.0832222 | − | 0.791806i | −0.870713 | − | 0.491792i | \(-0.836342\pi\) |
0.953935 | − | 0.300014i | \(-0.0969913\pi\) | |||||||
\(488\) | −0.0276791 | − | 0.263349i | −0.00125297 | − | 0.0119212i | ||||
\(489\) | −3.54864 | + | 1.67723i | −0.160475 | + | 0.0758471i | ||||
\(490\) | 24.4721 | − | 5.79373i | 1.10554 | − | 0.261734i | ||||
\(491\) | −18.1435 | − | 24.9724i | −0.818806 | − | 1.12699i | −0.989904 | − | 0.141736i | \(-0.954731\pi\) |
0.171098 | − | 0.985254i | \(-0.445269\pi\) | |||||||
\(492\) | −4.21328 | − | 1.76268i | −0.189949 | − | 0.0794679i | ||||
\(493\) | −23.5232 | − | 21.1804i | −1.05943 | − | 0.953918i | ||||
\(494\) | −0.244709 | + | 0.141283i | −0.0110100 | + | 0.00635660i | ||||
\(495\) | 15.6171 | + | 32.1545i | 0.701936 | + | 1.44524i | ||||
\(496\) | − | 9.03470i | − | 0.405670i | ||||||
\(497\) | −13.1263 | + | 26.5121i | −0.588795 | + | 1.18923i | ||||
\(498\) | −14.0886 | + | 1.80412i | −0.631324 | + | 0.0808446i | ||||
\(499\) | 0.763348 | + | 7.26277i | 0.0341722 | + | 0.325126i | 0.998232 | + | 0.0594406i | \(0.0189317\pi\) |
−0.964060 | + | 0.265686i | \(0.914402\pi\) | |||||||
\(500\) | 10.2162 | − | 2.17151i | 0.456881 | − | 0.0971130i | ||||
\(501\) | 31.8486 | + | 22.0552i | 1.42289 | + | 0.985355i | ||||
\(502\) | −13.4419 | + | 1.41280i | −0.599941 | + | 0.0630564i | ||||
\(503\) | −18.0042 | − | 13.0808i | −0.802768 | − | 0.583245i | 0.108957 | − | 0.994046i | \(-0.465249\pi\) |
−0.911725 | + | 0.410801i | \(0.865249\pi\) | |||||||
\(504\) | 6.85617 | − | 3.99911i | 0.305398 | − | 0.178134i | ||||
\(505\) | 9.09456 | 0.404703 | ||||||||
\(506\) | 5.20048 | + | 4.79708i | 0.231190 | + | 0.213256i | ||||
\(507\) | 6.46224 | − | 21.5361i | 0.286998 | − | 0.956454i | ||||
\(508\) | 4.28139 | − | 4.75497i | 0.189956 | − | 0.210967i | ||||
\(509\) | −5.20749 | + | 2.31852i | −0.230818 | + | 0.102767i | −0.518887 | − | 0.854843i | \(-0.673653\pi\) |
0.288069 | + | 0.957610i | \(0.406987\pi\) | |||||||
\(510\) | 5.07157 | − | 26.8337i | 0.224573 | − | 1.18822i | ||||
\(511\) | 8.86927 | + | 5.61565i | 0.392353 | + | 0.248422i | ||||
\(512\) | −0.951057 | − | 0.309017i | −0.0420312 | − | 0.0136568i | ||||
\(513\) | −7.53472 | + | 7.77306i | −0.332666 | + | 0.343189i | ||||
\(514\) | −8.76623 | − | 0.921368i | −0.386662 | − | 0.0406398i | ||||
\(515\) | −30.3152 | − | 27.2960i | −1.33585 | − | 1.20280i | ||||
\(516\) | −13.2324 | + | 3.12736i | −0.582525 | + | 0.137674i | ||||
\(517\) | 11.6781 | + | 27.1023i | 0.513600 | + | 1.19196i | ||||
\(518\) | 1.19588 | − | 4.67788i | 0.0525439 | − | 0.205534i | ||||
\(519\) | −17.3654 | + | 31.7150i | −0.762255 | + | 1.39213i | ||||
\(520\) | 0.445139 | − | 0.198189i | 0.0195206 | − | 0.00869115i | ||||
\(521\) | −34.6817 | − | 15.4413i | −1.51943 | − | 0.676496i | −0.533834 | − | 0.845589i | \(-0.679249\pi\) |
−0.985600 | + | 0.169094i | \(0.945916\pi\) | |||||||
\(522\) | −3.23367 | − | 21.3951i | −0.141534 | − | 0.936438i | ||||
\(523\) | 24.8884 | − | 22.4096i | 1.08829 | − | 0.979905i | 0.0884251 | − | 0.996083i | \(-0.471817\pi\) |
0.999869 | + | 0.0161783i | \(0.00514994\pi\) | |||||||
\(524\) | 10.5903 | − | 7.69429i | 0.462638 | − | 0.336126i | ||||
\(525\) | 33.3652 | − | 14.1332i | 1.45618 | − | 0.616823i | ||||
\(526\) | −1.00512 | − | 3.09344i | −0.0438253 | − | 0.134880i | ||||
\(527\) | −34.3376 | − | 19.8249i | −1.49577 | − | 0.863584i | ||||
\(528\) | 1.13467 | − | 5.63139i | 0.0493802 | − | 0.245075i | ||||
\(529\) | −9.22468 | − | 15.9776i | −0.401073 | − | 0.694679i | ||||
\(530\) | −27.3791 | − | 5.81961i | −1.18927 | − | 0.252788i | ||||
\(531\) | 23.1285 | − | 28.1518i | 1.00369 | − | 1.22168i | ||||
\(532\) | 5.45380 | + | 0.799540i | 0.236452 | + | 0.0346644i | ||||
\(533\) | −0.340127 | − | 0.110514i | −0.0147325 | − | 0.00478689i | ||||
\(534\) | 19.5909 | + | 1.61159i | 0.847783 | + | 0.0697401i | ||||
\(535\) | −21.0526 | + | 47.2849i | −0.910184 | + | 2.04431i | ||||
\(536\) | 5.69101 | + | 0.598149i | 0.245814 | + | 0.0258361i | ||||
\(537\) | 17.7455 | − | 10.7883i | 0.765774 | − | 0.465549i | ||||
\(538\) | 6.43646i | 0.277495i | ||||||||
\(539\) | 6.93101 | − | 22.1576i | 0.298540 | − | 0.954397i | ||||
\(540\) | 14.3231 | − | 11.9726i | 0.616368 | − | 0.515217i | ||||
\(541\) | −17.0660 | − | 3.62748i | −0.733723 | − | 0.155958i | −0.174127 | − | 0.984723i | \(-0.555710\pi\) |
−0.559596 | + | 0.828766i | \(0.689044\pi\) | |||||||
\(542\) | −0.400294 | + | 3.80854i | −0.0171941 | + | 0.163591i | ||||
\(543\) | −38.7536 | + | 13.5693i | −1.66308 | + | 0.582314i | ||||
\(544\) | −3.26137 | + | 2.93655i | −0.139830 | + | 0.125903i | ||||
\(545\) | −5.14430 | + | 15.8325i | −0.220358 | + | 0.678191i | ||||
\(546\) | 0.509392 | − | 0.356112i | 0.0218000 | − | 0.0152402i | ||||
\(547\) | 18.2154 | + | 13.2343i | 0.778834 | + | 0.565856i | 0.904629 | − | 0.426200i | \(-0.140148\pi\) |
−0.125795 | + | 0.992056i | \(0.540148\pi\) | |||||||
\(548\) | 1.26830 | − | 5.96688i | 0.0541791 | − | 0.254893i | ||||
\(549\) | −0.355633 | − | 0.710348i | −0.0151781 | − | 0.0303169i | ||||
\(550\) | 8.40349 | − | 24.8422i | 0.358326 | − | 1.05928i | ||||
\(551\) | 7.51338 | − | 13.0136i | 0.320081 | − | 0.554396i | ||||
\(552\) | 1.77450 | − | 3.24084i | 0.0755279 | − | 0.137939i | ||||
\(553\) | −3.04367 | + | 8.21036i | −0.129430 | + | 0.349140i | ||||
\(554\) | −10.2293 | − | 14.0794i | −0.434599 | − | 0.598175i | ||||
\(555\) | 0.931015 | − | 11.3177i | 0.0395194 | − | 0.480410i | ||||
\(556\) | 3.93827 | + | 18.5281i | 0.167020 | + | 0.785766i | ||||
\(557\) | 4.35322 | − | 9.77748i | 0.184452 | − | 0.414285i | −0.797525 | − | 0.603285i | \(-0.793858\pi\) |
0.981977 | + | 0.189000i | \(0.0605247\pi\) | |||||||
\(558\) | −9.53400 | − | 25.3719i | −0.403606 | − | 1.07408i | ||||
\(559\) | −1.01260 | + | 0.329014i | −0.0428284 | + | 0.0139158i | ||||
\(560\) | −9.20910 | − | 2.35427i | −0.389156 | − | 0.0994859i | ||||
\(561\) | −18.9131 | − | 16.6694i | −0.798510 | − | 0.703784i | ||||
\(562\) | 6.85733 | − | 11.8772i | 0.289259 | − | 0.501011i | ||||
\(563\) | 10.8014 | − | 11.9962i | 0.455226 | − | 0.505580i | −0.471216 | − | 0.882018i | \(-0.656185\pi\) |
0.926442 | + | 0.376438i | \(0.122851\pi\) | |||||||
\(564\) | 12.2601 | − | 9.33876i | 0.516241 | − | 0.393233i | ||||
\(565\) | 38.6894 | − | 4.06642i | 1.62768 | − | 0.171076i | ||||
\(566\) | 7.52267 | − | 23.1524i | 0.316201 | − | 0.973168i | ||||
\(567\) | 15.0339 | − | 18.4657i | 0.631365 | − | 0.775486i | ||||
\(568\) | 9.04608 | − | 6.57236i | 0.379565 | − | 0.275770i | ||||
\(569\) | 12.7640 | + | 28.6683i | 0.535093 | + | 1.20184i | 0.955632 | + | 0.294564i | \(0.0951744\pi\) |
−0.420539 | + | 0.907275i | \(0.638159\pi\) | |||||||
\(570\) | 12.9608 | − | 0.293520i | 0.542869 | − | 0.0122942i | ||||
\(571\) | −16.2378 | − | 28.1246i | −0.679529 | − | 1.17698i | −0.975123 | − | 0.221665i | \(-0.928851\pi\) |
0.295594 | − | 0.955314i | \(-0.404482\pi\) | |||||||
\(572\) | 0.0523989 | − | 0.446766i | 0.00219091 | − | 0.0186802i | ||||
\(573\) | −10.7063 | + | 10.0881i | −0.447261 | + | 0.421438i | ||||
\(574\) | 3.86675 | + | 5.80678i | 0.161395 | + | 0.242371i | ||||
\(575\) | 9.91460 | − | 13.6463i | 0.413467 | − | 0.569089i | ||||
\(576\) | −2.99692 | + | 0.135810i | −0.124872 | + | 0.00565877i | ||||
\(577\) | 3.29944 | + | 15.5227i | 0.137358 | + | 0.646217i | 0.991920 | + | 0.126868i | \(0.0404923\pi\) |
−0.854562 | + | 0.519349i | \(0.826174\pi\) | |||||||
\(578\) | 0.469842 | + | 2.21043i | 0.0195429 | + | 0.0919420i | ||||
\(579\) | −12.9471 | + | 15.0510i | −0.538065 | + | 0.625499i | ||||
\(580\) | −15.2311 | + | 20.9638i | −0.632437 | + | 0.870475i | ||||
\(581\) | 19.4437 | + | 9.62671i | 0.806663 | + | 0.399383i | ||||
\(582\) | −18.6782 | − | 19.8227i | −0.774237 | − | 0.821676i | ||||
\(583\) | −17.5203 | + | 18.9936i | −0.725615 | + | 0.786635i | ||||
\(584\) | −1.98386 | − | 3.43614i | −0.0820926 | − | 0.142189i | ||||
\(585\) | 1.04093 | − | 1.02631i | 0.0430373 | − | 0.0424326i | ||||
\(586\) | 5.93464 | + | 13.3294i | 0.245158 | + | 0.550633i | ||||
\(587\) | 11.3149 | − | 8.22077i | 0.467017 | − | 0.339308i | −0.329261 | − | 0.944239i | \(-0.606800\pi\) |
0.796277 | + | 0.604932i | \(0.206800\pi\) | |||||||
\(588\) | −12.1032 | − | 0.715505i | −0.499129 | − | 0.0295069i | ||||
\(589\) | 5.81653 | − | 17.9015i | 0.239666 | − | 0.737616i | ||||
\(590\) | −43.3928 | + | 4.56077i | −1.78646 | + | 0.187764i | ||||
\(591\) | −10.6462 | − | 13.9764i | −0.437925 | − | 0.574914i | ||||
\(592\) | −1.22112 | + | 1.35619i | −0.0501877 | + | 0.0557391i | ||||
\(593\) | −6.97419 | + | 12.0797i | −0.286396 | + | 0.496052i | −0.972947 | − | 0.231030i | \(-0.925791\pi\) |
0.686551 | + | 0.727082i | \(0.259124\pi\) | |||||||
\(594\) | −2.75613 | − | 17.0119i | −0.113085 | − | 0.698006i | ||||
\(595\) | −29.1552 | + | 29.8345i | −1.19525 | + | 1.22310i | ||||
\(596\) | 15.5319 | − | 5.04663i | 0.636213 | − | 0.206718i | ||||
\(597\) | −4.33961 | + | 10.3728i | −0.177608 | + | 0.424531i | ||||
\(598\) | 0.117679 | − | 0.264312i | 0.00481226 | − | 0.0108085i | ||||
\(599\) | −9.57760 | − | 45.0590i | −0.391330 | − | 1.84106i | −0.526414 | − | 0.850228i | \(-0.676464\pi\) |
0.135084 | − | 0.990834i | \(-0.456870\pi\) | |||||||
\(600\) | −13.6495 | − | 1.12283i | −0.557238 | − | 0.0458394i | ||||
\(601\) | −4.92688 | − | 6.78127i | −0.200972 | − | 0.276614i | 0.696621 | − | 0.717439i | \(-0.254686\pi\) |
−0.897593 | + | 0.440825i | \(0.854686\pi\) | |||||||
\(602\) | 19.4746 | + | 7.21944i | 0.793726 | + | 0.294242i | ||||
\(603\) | 16.6131 | − | 4.32575i | 0.676539 | − | 0.176158i | ||||
\(604\) | 0.330392 | − | 0.572256i | 0.0134435 | − | 0.0232848i | ||||
\(605\) | −25.7292 | − | 29.9962i | −1.04604 | − | 1.21952i | ||||
\(606\) | −4.19958 | − | 1.26015i | −0.170596 | − | 0.0511900i | ||||
\(607\) | 4.08022 | − | 19.1959i | 0.165611 | − | 0.779139i | −0.814417 | − | 0.580280i | \(-0.802943\pi\) |
0.980028 | − | 0.198859i | \(-0.0637236\pi\) | |||||||
\(608\) | −1.68549 | − | 1.22458i | −0.0683556 | − | 0.0496632i | ||||
\(609\) | −13.9911 | + | 29.9455i | −0.566949 | + | 1.21345i | ||||
\(610\) | −0.293978 | + | 0.904771i | −0.0119028 | + | 0.0366331i | ||||
\(611\) | 0.896839 | − | 0.807518i | 0.0362822 | − | 0.0326687i | ||||
\(612\) | −6.05999 | + | 11.6882i | −0.244960 | + | 0.472469i | ||||
\(613\) | −1.06977 | + | 10.1782i | −0.0432077 | + | 0.411094i | 0.951445 | + | 0.307819i | \(0.0995990\pi\) |
−0.994653 | + | 0.103276i | \(0.967068\pi\) | |||||||
\(614\) | 5.05703 | + | 1.07491i | 0.204085 | + | 0.0433797i | ||||
\(615\) | 11.2525 | + | 11.9419i | 0.453743 | + | 0.481545i | ||||
\(616\) | −6.20805 | + | 6.20163i | −0.250129 | + | 0.249871i | ||||
\(617\) | 7.42318i | 0.298846i | 0.988773 | + | 0.149423i | \(0.0477416\pi\) | ||||
−0.988773 | + | 0.149423i | \(0.952258\pi\) | |||||||
\(618\) | 10.2165 | + | 16.8049i | 0.410967 | + | 0.675993i | ||||
\(619\) | −10.6282 | − | 1.11707i | −0.427183 | − | 0.0448987i | −0.111502 | − | 0.993764i | \(-0.535566\pi\) |
−0.315681 | + | 0.948865i | \(0.602233\pi\) | |||||||
\(620\) | −13.2021 | + | 29.6524i | −0.530208 | + | 1.19087i | ||||
\(621\) | 1.56336 | − | 10.9738i | 0.0627353 | − | 0.440361i | ||||
\(622\) | 8.58549 | + | 2.78959i | 0.344247 | + | 0.111853i | ||||
\(623\) | −23.5512 | − | 18.6265i | −0.943558 | − | 0.746255i | ||||
\(624\) | −0.233012 | + | 0.0298386i | −0.00932796 | + | 0.00119450i | ||||
\(625\) | 1.96869 | + | 0.418458i | 0.0787476 | + | 0.0167383i | ||||
\(626\) | −16.0749 | − | 27.8425i | −0.642481 | − | 1.11281i | ||||
\(627\) | 5.87373 | − | 10.4276i | 0.234574 | − | 0.416438i | ||||
\(628\) | −14.2379 | − | 8.22027i | −0.568155 | − | 0.328024i | ||||
\(629\) | 2.47489 | + | 7.61693i | 0.0986803 | + | 0.303707i | ||||
\(630\) | −28.3461 | + | 3.10660i | −1.12933 | + | 0.123770i | ||||
\(631\) | −4.36971 | + | 3.17478i | −0.173955 | + | 0.126386i | −0.671356 | − | 0.741135i | \(-0.734288\pi\) |
0.497401 | + | 0.867521i | \(0.334288\pi\) | |||||||
\(632\) | 2.45951 | − | 2.21455i | 0.0978339 | − | 0.0880901i | ||||
\(633\) | 40.8992 | + | 28.3227i | 1.62560 | + | 1.12573i | ||||
\(634\) | 7.88354 | + | 3.50998i | 0.313095 | + | 0.139399i | ||||
\(635\) | −21.0000 | + | 9.34980i | −0.833360 | + | 0.371036i | ||||
\(636\) | 11.8364 | + | 6.48098i | 0.469346 | + | 0.256988i | ||||
\(637\) | −0.949147 | + | 0.0218616i | −0.0376066 | + | 0.000866186i | ||||
\(638\) | 9.46624 | + | 21.9691i | 0.374772 | + | 0.869766i | ||||
\(639\) | 18.4683 | − | 28.0030i | 0.730596 | − | 1.10778i | ||||
\(640\) | 2.66986 | + | 2.40395i | 0.105536 | + | 0.0950246i | ||||
\(641\) | −4.65713 | − | 0.489484i | −0.183946 | − | 0.0193335i | 0.0121078 | − | 0.999927i | \(-0.496146\pi\) |
−0.196053 | + | 0.980593i | \(0.562813\pi\) | |||||||
\(642\) | 16.2733 | − | 18.9176i | 0.642255 | − | 0.746620i | ||||
\(643\) | −6.52633 | − | 2.12053i | −0.257373 | − | 0.0836256i | 0.177488 | − | 0.984123i | \(-0.443203\pi\) |
−0.434862 | + | 0.900497i | \(0.643203\pi\) | |||||||
\(644\) | −4.99898 | + | 2.62004i | −0.196988 | + | 0.103244i | ||||
\(645\) | 47.9994 | + | 9.07189i | 1.88997 | + | 0.357205i | ||||
\(646\) | −8.35265 | + | 3.71884i | −0.328631 | + | 0.146316i | ||||
\(647\) | 10.1996 | − | 11.3279i | 0.400989 | − | 0.445344i | −0.508506 | − | 0.861059i | \(-0.669802\pi\) |
0.909495 | + | 0.415715i | \(0.136469\pi\) | |||||||
\(648\) | −8.27288 | + | 3.54394i | −0.324989 | + | 0.139219i | ||||
\(649\) | −16.8247 | + | 36.5974i | −0.660428 | + | 1.43658i | ||||
\(650\) | −1.07243 | −0.0420643 | ||||||||
\(651\) | −9.34370 | + | 40.3341i | −0.366208 | + | 1.58082i | ||||
\(652\) | −1.83333 | − | 1.33199i | −0.0717989 | − | 0.0521649i | ||||
\(653\) | −7.30762 | + | 0.768062i | −0.285969 | + | 0.0300566i | −0.246427 | − | 0.969161i | \(-0.579257\pi\) |
−0.0395422 | + | 0.999218i | \(0.512590\pi\) | |||||||
\(654\) | 4.56924 | − | 6.59817i | 0.178671 | − | 0.258009i | ||||
\(655\) | −46.0012 | + | 9.77786i | −1.79742 | + | 0.382053i | ||||
\(656\) | −0.275625 | − | 2.62240i | −0.0107613 | − | 0.102387i | ||||
\(657\) | −9.19726 | − | 7.55615i | −0.358819 | − | 0.294793i | ||||
\(658\) | −23.4938 | + | 1.50269i | −0.915884 | + | 0.0585811i | ||||
\(659\) | 25.6136i | 0.997766i | 0.866669 | + | 0.498883i | \(0.166256\pi\) | ||||
−0.866669 | + | 0.498883i | \(0.833744\pi\) | |||||||
\(660\) | −11.9530 | + | 16.8245i | −0.465270 | + | 0.654891i | ||||
\(661\) | 0.145629 | − | 0.0840790i | 0.00566432 | − | 0.00327030i | −0.497165 | − | 0.867656i | \(-0.665626\pi\) |
0.502829 | + | 0.864386i | \(0.332292\pi\) | |||||||
\(662\) | 21.1066 | + | 19.0045i | 0.820332 | + | 0.738630i | ||||
\(663\) | −0.397894 | + | 0.951071i | −0.0154529 | + | 0.0369365i | ||||
\(664\) | −4.82011 | − | 6.63431i | −0.187057 | − | 0.257461i | ||||
\(665\) | −16.7313 | − | 10.5936i | −0.648813 | − | 0.410801i | ||||
\(666\) | −1.99810 | + | 5.09716i | −0.0774249 | + | 0.197511i | ||||
\(667\) | 1.60830 | + | 15.3020i | 0.0622738 | + | 0.592496i | ||||
\(668\) | −2.33793 | + | 22.2439i | −0.0904571 | + | 0.860641i | ||||
\(669\) | 0.430115 | + | 18.9924i | 0.0166292 | + | 0.734289i | ||||
\(670\) | −17.8041 | − | 10.2792i | −0.687834 | − | 0.397121i | ||||
\(671\) | 0.579763 | + | 0.659683i | 0.0223815 | + | 0.0254668i | ||||
\(672\) | 3.92626 | + | 2.36314i | 0.151459 | + | 0.0911603i | ||||
\(673\) | 3.73624 | + | 11.4990i | 0.144021 | + | 0.443252i | 0.996884 | − | 0.0788834i | \(-0.0251355\pi\) |
−0.852862 | + | 0.522136i | \(0.825135\pi\) | |||||||
\(674\) | −4.75969 | − | 10.6904i | −0.183337 | − | 0.411781i | ||||
\(675\) | −39.5164 | + | 11.2506i | −1.52099 | + | 0.433036i | ||||
\(676\) | 12.6979 | − | 2.69903i | 0.488382 | − | 0.103809i | ||||
\(677\) | −11.2429 | − | 12.4865i | −0.432099 | − | 0.479895i | 0.487292 | − | 0.873239i | \(-0.337985\pi\) |
−0.919391 | + | 0.393344i | \(0.871318\pi\) | |||||||
\(678\) | −18.4290 | − | 3.48308i | −0.707761 | − | 0.133767i | ||||
\(679\) | 6.98102 | + | 41.0142i | 0.267907 | + | 1.57398i | ||||
\(680\) | 14.9950 | − | 4.87218i | 0.575034 | − | 0.186840i | ||||
\(681\) | −4.29147 | + | 1.01425i | −0.164450 | + | 0.0388662i | ||||
\(682\) | 17.3199 | + | 24.4521i | 0.663213 | + | 0.936320i | ||||
\(683\) | −5.41293 | + | 3.12516i | −0.207120 | + | 0.119581i | −0.599972 | − | 0.800021i | \(-0.704822\pi\) |
0.392852 | + | 0.919602i | \(0.371488\pi\) | |||||||
\(684\) | −6.02557 | − | 1.66032i | −0.230393 | − | 0.0634840i | ||||
\(685\) | −12.8818 | + | 17.7303i | −0.492189 | + | 0.677440i | ||||
\(686\) | 14.7869 | + | 11.1511i | 0.564566 | + | 0.425753i | ||||
\(687\) | −4.84316 | − | 10.2470i | −0.184778 | − | 0.390948i | ||||
\(688\) | −5.25282 | − | 5.83384i | −0.200262 | − | 0.222413i | ||||
\(689\) | 0.965340 | + | 0.429797i | 0.0367765 | + | 0.0163740i | ||||
\(690\) | −10.5597 | + | 8.04359i | −0.402002 | + | 0.306214i | ||||
\(691\) | 0.150244 | − | 0.706842i | 0.00571555 | − | 0.0268895i | −0.975197 | − | 0.221337i | \(-0.928958\pi\) |
0.980913 | + | 0.194447i | \(0.0622913\pi\) | |||||||
\(692\) | −20.8758 | −0.793578 | ||||||||
\(693\) | −10.8896 | + | 23.9670i | −0.413660 | + | 0.910431i | ||||
\(694\) | 4.57792 | 0.173775 | ||||||||
\(695\) | 14.1488 | − | 66.5650i | 0.536696 | − | 2.52496i | ||||
\(696\) | 9.93801 | − | 7.57000i | 0.376699 | − | 0.286940i | ||||
\(697\) | −10.5716 | − | 4.70677i | −0.400427 | − | 0.178282i | ||||
\(698\) | 9.75927 | + | 10.8388i | 0.369394 | + | 0.410253i | ||||
\(699\) | 6.46260 | + | 13.6734i | 0.244438 | + | 0.517175i | ||||
\(700\) | 16.4087 | + | 12.9775i | 0.620190 | + | 0.490505i | ||||
\(701\) | 9.76813 | − | 13.4447i | 0.368937 | − | 0.507799i | −0.583674 | − | 0.811988i | \(-0.698385\pi\) |
0.952612 | + | 0.304189i | \(0.0983855\pi\) | |||||||
\(702\) | −0.622876 | + | 0.329685i | −0.0235089 | + | 0.0124431i | ||||
\(703\) | −3.29265 | + | 1.90101i | −0.124185 | + | 0.0716981i | ||||
\(704\) | 3.16640 | − | 0.986869i | 0.119338 | − | 0.0371940i | ||||
\(705\) | −53.8845 | + | 12.7351i | −2.02941 | + | 0.479632i | ||||
\(706\) | −10.9297 | + | 3.55128i | −0.411345 | + | 0.133654i | ||||
\(707\) | 4.27455 | + | 5.15609i | 0.160761 | + | 0.193915i | ||||
\(708\) | 20.6694 | + | 3.90652i | 0.776803 | + | 0.146816i | ||||
\(709\) | 28.5916 | + | 31.7541i | 1.07378 | + | 1.19255i | 0.980420 | + | 0.196919i | \(0.0630937\pi\) |
0.0933589 | + | 0.995633i | \(0.470240\pi\) | |||||||
\(710\) | −39.2937 | + | 8.35213i | −1.47467 | + | 0.313450i | ||||
\(711\) | 4.57004 | − | 8.81450i | 0.171390 | − | 0.330569i | ||||
\(712\) | 4.61607 | + | 10.3679i | 0.172995 | + | 0.388552i | ||||
\(713\) | 5.95569 | + | 18.3297i | 0.223043 | + | 0.686454i | ||||
\(714\) | 17.5969 | − | 9.73687i | 0.658546 | − | 0.364393i | ||||
\(715\) | −0.824819 | + | 1.38974i | −0.0308465 | + | 0.0519734i | ||||
\(716\) | 10.3838 | + | 5.99506i | 0.388059 | + | 0.224046i | ||||
\(717\) | −0.833903 | − | 36.8223i | −0.0311427 | − | 1.37515i | ||||
\(718\) | −1.24848 | + | 11.8785i | −0.0465927 | + | 0.443300i | ||||
\(719\) | −0.0250490 | − | 0.238326i | −0.000934172 | − | 0.00888805i | 0.994045 | − | 0.108971i | \(-0.0347557\pi\) |
−0.994979 | + | 0.100083i | \(0.968089\pi\) | |||||||
\(720\) | 10.0345 | + | 3.93356i | 0.373964 | + | 0.146595i | ||||
\(721\) | 1.22672 | − | 30.0164i | 0.0456853 | − | 1.11787i | ||||
\(722\) | 8.61666 | + | 11.8598i | 0.320679 | + | 0.441377i | ||||
\(723\) | 9.72374 | − | 23.2423i | 0.361630 | − | 0.864391i | ||||
\(724\) | −17.6172 | − | 15.8626i | −0.654739 | − | 0.589529i | ||||
\(725\) | 49.3911 | − | 28.5159i | 1.83434 | − | 1.05906i | ||||
\(726\) | 7.72464 | + | 17.4164i | 0.286688 | + | 0.646382i | ||||
\(727\) | 18.2514i | 0.676906i | 0.940983 | + | 0.338453i | \(0.109904\pi\) | ||||
−0.940983 | + | 0.338453i | \(0.890096\pi\) | |||||||
\(728\) | 0.321582 | + | 0.159217i | 0.0119186 | + | 0.00590098i | ||||
\(729\) | −19.4927 | + | 18.6824i | −0.721953 | + | 0.691942i | ||||
\(730\) | 1.49001 | + | 14.1765i | 0.0551479 | + | 0.524697i | ||||
\(731\) | −33.6986 | + | 7.16286i | −1.24639 | + | 0.264928i | ||||
\(732\) | 0.261115 | − | 0.377061i | 0.00965110 | − | 0.0139366i | ||||
\(733\) | −9.03354 | + | 0.949463i | −0.333661 | + | 0.0350692i | −0.269878 | − | 0.962895i | \(-0.586983\pi\) |
−0.0637834 | + | 0.997964i | \(0.520317\pi\) | |||||||
\(734\) | −20.2858 | − | 14.7385i | −0.748763 | − | 0.544008i | ||||
\(735\) | 38.6779 | + | 20.0343i | 1.42665 | + | 0.738977i | ||||
\(736\) | 2.13322 | 0.0786316 | ||||||||
\(737\) | −16.5492 | + | 9.29102i | −0.609598 | + | 0.342239i | ||||
\(738\) | −3.54135 | − | 7.07356i | −0.130359 | − | 0.260381i | ||||
\(739\) | −33.9311 | + | 37.6843i | −1.24818 | + | 1.38624i | −0.356041 | + | 0.934470i | \(0.615874\pi\) |
−0.892135 | + | 0.451770i | \(0.850793\pi\) | |||||||
\(740\) | 5.98953 | − | 2.66671i | 0.220180 | − | 0.0980303i | ||||
\(741\) | −0.480903 | − | 0.0908908i | −0.0176664 | − | 0.00333896i | ||||
\(742\) | −9.56913 | − | 18.2577i | −0.351294 | − | 0.670260i | ||||
\(743\) | −27.6648 | − | 8.98885i | −1.01492 | − | 0.329769i | −0.246111 | − | 0.969242i | \(-0.579153\pi\) |
−0.768814 | + | 0.639473i | \(0.779153\pi\) | |||||||
\(744\) | 10.2050 | − | 11.8632i | 0.374132 | − | 0.434927i | ||||
\(745\) | −58.3511 | − | 6.13295i | −2.13782 | − | 0.224694i | ||||
\(746\) | 18.6584 | + | 16.8001i | 0.683134 | + | 0.615096i | ||||
\(747\) | −20.5372 | − | 13.5445i | −0.751415 | − | 0.495567i | ||||
\(748\) | 3.19730 | − | 14.1998i | 0.116905 | − | 0.519197i | ||||
\(749\) | −36.7028 | + | 10.2889i | −1.34109 | + | 0.375947i | ||||
\(750\) | 15.8674 | + | 8.68809i | 0.579395 | + | 0.317244i | ||||
\(751\) | −41.9330 | + | 18.6698i | −1.53016 | + | 0.681270i | −0.987346 | − | 0.158583i | \(-0.949307\pi\) |
−0.542813 | + | 0.839854i | \(0.682641\pi\) | |||||||
\(752\) | 8.12870 | + | 3.61913i | 0.296423 | + | 0.131976i | ||||
\(753\) | −19.2460 | − | 13.3279i | −0.701364 | − | 0.485695i | ||||
\(754\) | 0.726978 | − | 0.654574i | 0.0264750 | − | 0.0238382i | ||||
\(755\) | −1.92058 | + | 1.39538i | −0.0698971 | + | 0.0507832i | ||||
\(756\) | 13.5198 | + | 2.49312i | 0.491710 | + | 0.0906738i | ||||
\(757\) | −2.61417 | − | 8.04560i | −0.0950138 | − | 0.292422i | 0.892244 | − | 0.451555i | \(-0.149130\pi\) |
−0.987257 | + | 0.159132i | \(0.949130\pi\) | |||||||
\(758\) | 25.2321 | + | 14.5678i | 0.916473 | + | 0.529126i | ||||
\(759\) | 1.41018 | + | 12.1730i | 0.0511864 | + | 0.441853i | ||||
\(760\) | 3.74243 | + | 6.48207i | 0.135752 | + | 0.235130i | ||||
\(761\) | −2.43321 | − | 0.517196i | −0.0882040 | − | 0.0187483i | 0.163598 | − | 0.986527i | \(-0.447690\pi\) |
−0.251802 | + | 0.967779i | \(0.581023\pi\) | |||||||
\(762\) | 10.9927 | − | 1.40767i | 0.398222 | − | 0.0509946i | ||||
\(763\) | −11.3940 | + | 4.52495i | −0.412491 | + | 0.163814i | ||||
\(764\) | −8.07735 | − | 2.62449i | −0.292228 | − | 0.0949508i | ||||
\(765\) | 36.9688 | − | 29.5062i | 1.33661 | − | 1.06680i | ||||
\(766\) | −10.4735 | + | 23.5239i | −0.378424 | + | 0.849954i | ||||
\(767\) | 1.63815 | + | 0.172176i | 0.0591501 | + | 0.00621693i | ||||
\(768\) | −0.899765 | − | 1.48001i | −0.0324675 | − | 0.0534052i | ||||
\(769\) | 1.14600i | 0.0413257i | 0.999787 | + | 0.0206629i | \(0.00657766\pi\) | ||||
−0.999787 | + | 0.0206629i | \(0.993422\pi\) | |||||||
\(770\) | 29.4373 | − | 11.2825i | 1.06085 | − | 0.406592i | ||||
\(771\) | −10.4700 | − | 11.1115i | −0.377068 | − | 0.400172i | ||||
\(772\) | −11.2119 | − | 2.38317i | −0.403527 | − | 0.0857722i | ||||
\(773\) | 4.23009 | − | 40.2466i | 0.152146 | − | 1.44757i | −0.605989 | − | 0.795473i | \(-0.707222\pi\) |
0.758135 | − | 0.652098i | \(-0.226111\pi\) | |||||||
\(774\) | −20.9076 | − | 10.8399i | −0.751508 | − | 0.389634i | ||||
\(775\) | 53.0894 | − | 47.8019i | 1.90703 | − | 1.71709i | ||||
\(776\) | 4.85925 | − | 14.9552i | 0.174437 | − | 0.536862i | ||||
\(777\) | 6.85408 | − | 4.79163i | 0.245889 | − | 0.171899i | ||||
\(778\) | −1.80759 | − | 1.31329i | −0.0648052 | − | 0.0470837i | ||||
\(779\) | 1.14217 | − | 5.37349i | 0.0409225 | − | 0.192525i | ||||
\(780\) | 0.808361 | + | 0.242561i | 0.0289440 | + | 0.00868507i | ||||
\(781\) | −11.8834 | + | 35.1296i | −0.425223 | + | 1.25704i | ||||
\(782\) | 4.68093 | − | 8.10761i | 0.167390 | − | 0.289928i | ||||
\(783\) | 19.9203 | − | 31.7459i | 0.711894 | − | 1.13451i | ||||
\(784\) | −2.99365 | − | 6.32756i | −0.106916 | − | 0.225984i | ||||
\(785\) | 34.7176 | + | 47.7847i | 1.23912 | + | 1.70551i | ||||
\(786\) | 22.5967 | + | 1.85885i | 0.805999 | + | 0.0663029i | ||||
\(787\) | 5.12017 | + | 24.0885i | 0.182514 | + | 0.858663i | 0.970147 | + | 0.242518i | \(0.0779732\pi\) |
−0.787633 | + | 0.616145i | \(0.788693\pi\) | |||||||
\(788\) | 4.12580 | − | 9.26670i | 0.146976 | − | 0.330113i | ||||
\(789\) | 2.17433 | − | 5.19723i | 0.0774083 | − | 0.185026i | ||||
\(790\) | −11.3083 | + | 3.67428i | −0.402330 | + | 0.130725i | ||||
\(791\) | 20.4899 | + | 20.0234i | 0.728537 | + | 0.711950i | ||||
\(792\) | 7.85072 | − | 6.11279i | 0.278963 | − | 0.217208i | ||||
\(793\) | 0.0179572 | − | 0.0311027i | 0.000637677 | − | 0.00110449i | ||||
\(794\) | −3.93999 | + | 4.37580i | −0.139825 | + | 0.155291i | ||||
\(795\) | −29.3774 | − | 38.5671i | −1.04191 | − | 1.36783i | ||||
\(796\) | −6.45616 | + | 0.678570i | −0.228832 | + | 0.0240513i | ||||
\(797\) | −7.36553 | + | 22.6688i | −0.260901 | + | 0.802969i | 0.731709 | + | 0.681617i | \(0.238723\pi\) |
−0.992610 | + | 0.121352i | \(0.961277\pi\) | |||||||
\(798\) | 6.25815 | + | 7.21008i | 0.221536 | + | 0.255234i | ||||
\(799\) | 31.5918 | − | 22.9528i | 1.11764 | − | 0.812011i | ||||
\(800\) | −3.21613 | − | 7.22355i | −0.113707 | − | 0.255391i | ||||
\(801\) | 23.9040 | + | 24.2447i | 0.844608 | + | 0.856643i | ||||
\(802\) | 2.12709 | + | 3.68423i | 0.0751102 | + | 0.130095i | ||||
\(803\) | 11.9565 | + | 5.49667i | 0.421935 | + | 0.193973i | ||||
\(804\) | 6.79709 | + | 7.21357i | 0.239715 | + | 0.254403i | ||||
\(805\) | 20.2355 | − | 1.29429i | 0.713208 | − | 0.0456177i | ||||
\(806\) | 0.720250 | − | 0.991338i | 0.0253697 | − | 0.0349184i | ||||
\(807\) | −7.27016 | + | 8.45155i | −0.255922 | + | 0.297509i | ||||
\(808\) | −0.526315 | − | 2.47612i | −0.0185157 | − | 0.0871095i | ||||
\(809\) | 0.638462 | + | 3.00373i | 0.0224471 | + | 0.105605i | 0.987945 | − | 0.154806i | \(-0.0494752\pi\) |
−0.965498 | + | 0.260411i | \(0.916142\pi\) | |||||||
\(810\) | 32.3306 | + | 0.457461i | 1.13598 | + | 0.0160735i | ||||
\(811\) | 13.7490 | − | 18.9239i | 0.482794 | − | 0.664509i | −0.496245 | − | 0.868183i | \(-0.665288\pi\) |
0.979039 | + | 0.203674i | \(0.0652882\pi\) | |||||||
\(812\) | −19.0441 | + | 1.21808i | −0.668316 | + | 0.0427464i | ||||
\(813\) | −4.82747 | + | 4.54876i | −0.169307 | + | 0.159532i | ||||
\(814\) | 0.705048 | − | 6.01142i | 0.0247119 | − | 0.210700i | ||||
\(815\) | 4.07070 | + | 7.05066i | 0.142590 | + | 0.246974i | ||||
\(816\) | −7.59933 | + | 0.172100i | −0.266030 | + | 0.00602469i | ||||
\(817\) | −6.65216 | − | 14.9410i | −0.232730 | − | 0.522719i | ||||
\(818\) | −12.2441 | + | 8.89584i | −0.428104 | + | 0.311036i | ||||
\(819\) | 1.07111 | + | 0.107772i | 0.0374276 | + | 0.00376585i | ||||
\(820\) | −2.92740 | + | 9.00960i | −0.102229 | + | 0.314629i | ||||
\(821\) | −41.4782 | + | 4.35954i | −1.44760 | + | 0.152149i | −0.795486 | − | 0.605972i | \(-0.792784\pi\) |
−0.652114 | + | 0.758121i | \(0.726118\pi\) | |||||||
\(822\) | 8.40514 | − | 6.40238i | 0.293163 | − | 0.223309i | ||||
\(823\) | 9.11752 | − | 10.1260i | 0.317817 | − | 0.352971i | −0.562976 | − | 0.826473i | \(-0.690344\pi\) |
0.880793 | + | 0.473502i | \(0.157010\pi\) | |||||||
\(824\) | −5.67730 | + | 9.83338i | −0.197778 | + | 0.342562i | ||||
\(825\) | 39.0944 | − | 23.1277i | 1.36109 | − | 0.805203i | ||||
\(826\) | −22.9808 | − | 22.4576i | −0.799606 | − | 0.781401i | ||||
\(827\) | 43.8101 | − | 14.2348i | 1.52343 | − | 0.494992i | 0.576681 | − | 0.816970i | \(-0.304348\pi\) |
0.946747 | + | 0.321978i | \(0.104348\pi\) | |||||||
\(828\) | 5.99068 | − | 2.25111i | 0.208191 | − | 0.0782316i | ||||
\(829\) | 6.50331 | − | 14.6067i | 0.225869 | − | 0.507310i | −0.764690 | − | 0.644399i | \(-0.777108\pi\) |
0.990559 | + | 0.137088i | \(0.0437744\pi\) | |||||||
\(830\) | 6.12537 | + | 28.8176i | 0.212615 | + | 1.00027i | ||||
\(831\) | 2.47126 | − | 30.0415i | 0.0857272 | − | 1.04213i | ||||
\(832\) | −0.0797203 | − | 0.109726i | −0.00276381 | − | 0.00380405i | ||||
\(833\) | −30.6178 | − | 2.50677i | −1.06084 | − | 0.0868545i | ||||
\(834\) | −15.7568 | + | 28.7772i | −0.545613 | + | 0.996472i | ||||
\(835\) | 40.1774 | − | 69.5892i | 1.39039 | − | 2.40823i | ||||
\(836\) | 6.90928 | + | 0.0831341i | 0.238963 | + | 0.00287525i | ||||
\(837\) | 16.1395 | − | 44.0842i | 0.557862 | − | 1.52377i | ||||
\(838\) | −2.52516 | + | 11.8799i | −0.0872302 | + | 0.410386i | ||||
\(839\) | −40.3922 | − | 29.3467i | −1.39449 | − | 1.01316i | −0.995355 | − | 0.0962696i | \(-0.969309\pi\) |
−0.399140 | − | 0.916890i | \(-0.630691\pi\) | |||||||
\(840\) | −9.43303 | − | 13.4933i | −0.325470 | − | 0.465562i | ||||
\(841\) | −7.11449 | + | 21.8961i | −0.245327 | + | 0.755039i | ||||
\(842\) | 8.85486 | − | 7.97295i | 0.305159 | − | 0.274766i | ||||
\(843\) | 22.4199 | − | 7.85016i | 0.772182 | − | 0.270374i | ||||
\(844\) | −3.00230 | + | 28.5650i | −0.103344 | + | 0.983248i | ||||
\(845\) | −45.6192 | − | 9.69667i | −1.56935 | − | 0.333576i | ||||
\(846\) | 26.6468 | + | 1.58559i | 0.916135 | + | 0.0545139i | ||||
\(847\) | 4.91310 | − | 28.6856i | 0.168816 | − | 0.985648i | ||||
\(848\) | 7.79112i | 0.267548i | ||||||||
\(849\) | 36.0291 | − | 21.9038i | 1.23652 | − | 0.751735i | ||||
\(850\) | −34.5113 | − | 3.62728i | −1.18373 | − | 0.124415i | ||||
\(851\) | 1.58342 | − | 3.55643i | 0.0542790 | − | 0.121913i | ||||
\(852\) | 19.3019 | + | 1.58780i | 0.661271 | + | 0.0543973i | ||||
\(853\) | 21.6618 | + | 7.03834i | 0.741685 | + | 0.240988i | 0.655400 | − | 0.755282i | \(-0.272500\pi\) |
0.0862858 | + | 0.996270i | \(0.472500\pi\) | |||||||
\(854\) | −0.651126 | + | 0.258585i | −0.0222811 | + | 0.00884858i | ||||
\(855\) | 17.3501 | + | 14.2542i | 0.593360 | + | 0.487484i | ||||
\(856\) | 14.0923 | + | 2.99541i | 0.481665 | + | 0.102381i | ||||
\(857\) | −10.1592 | − | 17.5962i | −0.347031 | − | 0.601076i | 0.638689 | − | 0.769465i | \(-0.279477\pi\) |
−0.985721 | + | 0.168389i | \(0.946144\pi\) | |||||||
\(858\) | 0.573439 | − | 0.527451i | 0.0195769 | − | 0.0180069i | ||||
\(859\) | 8.18421 | + | 4.72516i | 0.279242 | + | 0.161220i | 0.633080 | − | 0.774086i | \(-0.281790\pi\) |
−0.353838 | + | 0.935307i | \(0.615124\pi\) | |||||||
\(860\) | 8.71523 | + | 26.8227i | 0.297187 | + | 0.914647i | ||||
\(861\) | −1.48160 | + | 11.9923i | −0.0504927 | + | 0.408698i | ||||
\(862\) | −8.50587 | + | 6.17988i | −0.289711 | + | 0.210487i | ||||
\(863\) | 22.6266 | − | 20.3731i | 0.770218 | − | 0.693508i | −0.187165 | − | 0.982329i | \(-0.559930\pi\) |
0.957383 | + | 0.288821i | \(0.0932632\pi\) | |||||||
\(864\) | −4.08859 | − | 3.20678i | −0.139097 | − | 0.109097i | ||||
\(865\) | 68.5154 | + | 30.5050i | 2.32959 | + | 1.03720i | ||||
\(866\) | 2.50177 | − | 1.11386i | 0.0850137 | − | 0.0378505i | ||||
\(867\) | −1.87981 | + | 3.43317i | −0.0638417 | + | 0.116596i | ||||
\(868\) | −23.0163 | + | 6.45214i | −0.781225 | + | 0.219000i | ||||
\(869\) | −2.41119 | + | 10.7086i | −0.0817941 | + | 0.363264i | ||||
\(870\) | −43.6788 | + | 10.3231i | −1.48085 | + | 0.349986i | ||||
\(871\) | 0.576765 | + | 0.519321i | 0.0195429 | + | 0.0175965i | ||||
\(872\) | 4.60832 | + | 0.484354i | 0.156058 | + | 0.0164023i | ||||
\(873\) | −2.13560 | − | 47.1262i | −0.0722791 | − | 1.59498i | ||||
\(874\) | 4.22679 | + | 1.37337i | 0.142973 | + | 0.0464548i | ||||
\(875\) | −12.8279 | − | 24.4754i | −0.433663 | − | 0.827418i | ||||
\(876\) | 1.27627 | − | 6.75274i | 0.0431211 | − | 0.228154i | ||||
\(877\) | 10.7434 | − | 4.78328i | 0.362779 | − | 0.161520i | −0.217249 | − | 0.976116i | \(-0.569708\pi\) |
0.580028 | + | 0.814596i | \(0.303042\pi\) | |||||||
\(878\) | −20.7151 | + | 23.0065i | −0.699101 | + | 0.776430i | ||||
\(879\) | −7.26333 | + | 24.2059i | −0.244986 | + | 0.816443i | ||||
\(880\) | −11.8344 | − | 1.38799i | −0.398936 | − | 0.0467892i | ||||
\(881\) | 29.3602 | 0.989171 | 0.494586 | − | 0.869129i | \(-0.335320\pi\) | ||||
0.494586 | + | 0.869129i | \(0.335320\pi\) | |||||||
\(882\) | −15.0843 | − | 14.6105i | −0.507913 | − | 0.491959i | ||||
\(883\) | −33.9917 | − | 24.6965i | −1.14391 | − | 0.831102i | −0.156254 | − | 0.987717i | \(-0.549942\pi\) |
−0.987660 | + | 0.156615i | \(0.949942\pi\) | |||||||
\(884\) | −0.591958 | + | 0.0622173i | −0.0199097 | + | 0.00209259i | ||||
\(885\) | −62.1296 | − | 43.0248i | −2.08846 | − | 1.44626i | ||||
\(886\) | −20.2212 | + | 4.29814i | −0.679343 | + | 0.144399i | ||||
\(887\) | 1.96245 | + | 18.6715i | 0.0658927 | + | 0.626927i | 0.976776 | + | 0.214263i | \(0.0687350\pi\) |
−0.910883 | + | 0.412664i | \(0.864598\pi\) | |||||||
\(888\) | −3.13528 | + | 0.401490i | −0.105213 | + | 0.0134731i | ||||
\(889\) | −15.1711 | − | 7.51127i | −0.508821 | − | 0.251920i | ||||
\(890\) | − | 40.7732i | − | 1.36672i | ||||||
\(891\) | 15.5964 | − | 25.4510i | 0.522499 | − | 0.852640i | ||||
\(892\) | −9.49864 | + | 5.48404i | −0.318038 | + | 0.183619i | ||||
\(893\) | 13.7763 | + | 12.4042i | 0.461006 | + | 0.415092i | ||||
\(894\) | 26.0949 | + | 10.9172i | 0.872744 | + | 0.365124i | ||||
\(895\) | −25.3196 | − | 34.8495i | −0.846342 | − | 1.16489i | ||||
\(896\) | −0.108037 | + | 2.64354i | −0.00360926 | + | 0.0883146i | ||||
\(897\) | 0.453070 | − | 0.214139i | 0.0151276 | − | 0.00714990i | ||||
\(898\) | −2.30059 | − | 21.8887i | −0.0767718 | − | 0.730435i | ||||
\(899\) | −6.81155 | + | 64.8076i | −0.227178 | + | 2.16145i | ||||
\(900\) | −16.6545 | − | 16.8918i | −0.555151 | − | 0.563062i | ||||
\(901\) | 29.6112 | + | 17.0961i | 0.986493 | + | 0.569552i | ||||
\(902\) | 5.77321 | + | 6.56904i | 0.192227 | + | 0.218725i | ||||
\(903\) | 17.4170 | + | 31.4768i | 0.579603 | + | 1.04748i | ||||
\(904\) | −3.34615 | − | 10.2984i | −0.111291 | − | 0.342519i | ||||
\(905\) | 34.6412 | + | 77.8053i | 1.15151 | + | 2.58634i | ||||
\(906\) | 1.08021 | − | 0.378227i | 0.0358875 | − | 0.0125658i | ||||
\(907\) | 8.29563 | − | 1.76329i | 0.275452 | − | 0.0585491i | −0.0681145 | − | 0.997678i | \(-0.521698\pi\) |
0.343566 | + | 0.939128i | \(0.388365\pi\) | |||||||
\(908\) | −1.70357 | − | 1.89200i | −0.0565349 | − | 0.0627883i | ||||
\(909\) | −4.09099 | − | 6.39822i | −0.135690 | − | 0.212216i | ||||
\(910\) | −0.822792 | − | 0.992476i | −0.0272753 | − | 0.0329003i | ||||
\(911\) | 38.5237 | − | 12.5171i | 1.27635 | − | 0.414711i | 0.409056 | − | 0.912509i | \(-0.365858\pi\) |
0.867292 | + | 0.497799i | \(0.165858\pi\) | |||||||
\(912\) | −0.829975 | − | 3.51177i | −0.0274832 | − | 0.116286i | ||||
\(913\) | 25.7637 | + | 8.71520i | 0.852654 | + | 0.288431i | ||||
\(914\) | 30.9378 | − | 17.8620i | 1.02333 | − | 0.590821i | ||||
\(915\) | −1.40798 | + | 0.855976i | −0.0465464 | + | 0.0282977i | ||||
\(916\) | 3.84626 | − | 5.29392i | 0.127084 | − | 0.174916i | ||||
\(917\) | −27.1646 | − | 21.4843i | −0.897054 | − | 0.709475i | ||||
\(918\) | −21.1594 | + | 8.50260i | −0.698365 | + | 0.280628i | ||||
\(919\) | −1.40871 | − | 1.56453i | −0.0464691 | − | 0.0516091i | 0.719462 | − | 0.694532i | \(-0.244388\pi\) |
−0.765931 | + | 0.642923i | \(0.777722\pi\) | |||||||
\(920\) | −7.00135 | − | 3.11720i | −0.230828 | − | 0.102771i | ||||
\(921\) | 5.42613 | + | 7.12350i | 0.178797 | + | 0.234727i | ||||
\(922\) | −3.10923 | + | 14.6278i | −0.102397 | + | 0.481741i | ||||
\(923\) | 1.51654 | 0.0499175 | ||||||||
\(924\) | −15.1565 | + | 1.13103i | −0.498614 | + | 0.0372083i | ||||
\(925\) | −14.4300 | −0.474457 | ||||||||
\(926\) | 0.552728 | − | 2.60038i | 0.0181638 | − | 0.0854538i | ||||
\(927\) | −5.56663 | + | 33.6059i | −0.182832 | + | 1.10376i | ||||
\(928\) | 6.58912 | + | 2.93367i | 0.216299 | + | 0.0963023i | ||||
\(929\) | −38.2826 | − | 42.5171i | −1.25601 | − | 1.39494i | −0.884519 | − | 0.466504i | \(-0.845513\pi\) |
−0.371491 | − | 0.928436i | \(-0.621153\pi\) | |||||||
\(930\) | −50.8285 | + | 24.0236i | −1.66673 | + | 0.787766i | ||||
\(931\) | −1.85798 | − | 14.4648i | −0.0608927 | − | 0.474065i | ||||
\(932\) | −5.13235 | + | 7.06408i | −0.168116 | + | 0.231392i | ||||
\(933\) | 8.12246 | + | 13.3605i | 0.265917 | + | 0.437403i | ||||
\(934\) | −4.20325 | + | 2.42675i | −0.137534 | + | 0.0794055i | ||||
\(935\) | −31.2434 | + | 41.9325i | −1.02177 | + | 1.37134i | ||||
\(936\) | −0.339666 | − | 0.224014i | −0.0111023 | − | 0.00732212i | ||||
\(937\) | −25.1987 | + | 8.18757i | −0.823207 | + | 0.267476i | −0.690181 | − | 0.723637i | \(-0.742469\pi\) |
−0.133025 | + | 0.991113i | \(0.542469\pi\) | |||||||
\(938\) | −2.54043 | − | 14.9253i | −0.0829479 | − | 0.487327i | ||||
\(939\) | 10.3414 | − | 54.7163i | 0.337478 | − | 1.78560i | ||||
\(940\) | −21.3903 | − | 23.7563i | −0.697675 | − | 0.774846i | ||||
\(941\) | −16.5454 | + | 3.51683i | −0.539364 | + | 0.114645i | −0.469535 | − | 0.882914i | \(-0.655579\pi\) |
−0.0698287 | + | 0.997559i | \(0.522245\pi\) | |||||||
\(942\) | −9.41043 | − | 26.8760i | −0.306608 | − | 0.875666i | ||||
\(943\) | 2.28788 | + | 5.13866i | 0.0745037 | + | 0.167338i | ||||
\(944\) | 3.75293 | + | 11.5503i | 0.122148 | + | 0.375932i | ||||
\(945\) | −40.7295 | − | 27.9385i | −1.32493 | − | 0.908839i | ||||
\(946\) | 25.4003 | + | 5.71924i | 0.825834 | + | 0.185949i | ||||
\(947\) | −48.8372 | − | 28.1962i | −1.58700 | − | 0.916253i | −0.993798 | − | 0.111196i | \(-0.964532\pi\) |
−0.593198 | − | 0.805057i | \(-0.702135\pi\) | |||||||
\(948\) | 5.73091 | − | 0.129786i | 0.186131 | − | 0.00421526i | ||||
\(949\) | 0.0562504 | − | 0.535187i | 0.00182597 | − | 0.0173729i | ||||
\(950\) | −1.72196 | − | 16.3833i | −0.0558677 | − | 0.531546i | ||||
\(951\) | 6.38706 | + | 13.5135i | 0.207114 | + | 0.438207i | ||||
\(952\) | 9.81010 | + | 6.21134i | 0.317947 | + | 0.201311i | ||||
\(953\) | 33.6447 | + | 46.3079i | 1.08986 | + | 1.50006i | 0.848183 | + | 0.529703i | \(0.177696\pi\) |
0.241674 | + | 0.970358i | \(0.422304\pi\) | |||||||
\(954\) | 8.22169 | + | 21.8796i | 0.266187 | + | 0.708379i | ||||
\(955\) | 22.6752 | + | 20.4169i | 0.733753 | + | 0.660674i | ||||
\(956\) | 18.4159 | − | 10.6324i | 0.595612 | − | 0.343877i | ||||
\(957\) | −12.3849 | + | 39.5395i | −0.400347 | + | 1.27813i | ||||
\(958\) | 30.4981i | 0.985348i | ||||||||
\(959\) | −16.1067 | + | 1.03020i | −0.520111 | + | 0.0332670i | ||||
\(960\) | 0.790393 | + | 6.17226i | 0.0255098 | + | 0.199209i | ||||
\(961\) | 5.29184 | + | 50.3485i | 0.170705 | + | 1.62415i | ||||
\(962\) | −0.242104 | + | 0.0514608i | −0.00780575 | + | 0.00165916i | ||||
\(963\) | 42.7360 | − | 6.45915i | 1.37715 | − | 0.208143i | ||||
\(964\) | 14.4663 | − | 1.52047i | 0.465928 | − | 0.0489710i | ||||
\(965\) | 33.3157 | + | 24.2053i | 1.07247 | + | 0.779196i | ||||
\(966\) | −9.52346 | − | 2.20618i | −0.306412 | − | 0.0709827i | ||||
\(967\) | 49.1395 | 1.58022 | 0.790110 | − | 0.612965i | \(-0.210023\pi\) | ||||
0.790110 | + | 0.612965i | \(0.210023\pi\) | |||||||
\(968\) | −6.67789 | + | 8.74104i | −0.214635 | + | 0.280948i | ||||
\(969\) | −15.1682 | − | 4.55144i | −0.487272 | − | 0.146213i | ||||
\(970\) | −37.8019 | + | 41.9832i | −1.21374 | + | 1.34800i | ||||
\(971\) | 31.5976 | − | 14.0682i | 1.01402 | − | 0.451469i | 0.168661 | − | 0.985674i | \(-0.446056\pi\) |
0.845355 | + | 0.534205i | \(0.179389\pi\) | |||||||
\(972\) | −14.8659 | − | 4.69099i | −0.476824 | − | 0.150464i | ||||
\(973\) | 44.3887 | − | 23.2648i | 1.42304 | − | 0.745835i | ||||
\(974\) | 16.7100 | + | 5.42939i | 0.535421 | + | 0.173969i | ||||
\(975\) | −1.40819 | − | 1.21135i | −0.0450981 | − | 0.0387941i | ||||
\(976\) | 0.263349 | + | 0.0276791i | 0.00842959 | + | 0.000885986i | ||||
\(977\) | −7.82119 | − | 7.04223i | −0.250222 | − | 0.225301i | 0.534469 | − | 0.845188i | \(-0.320512\pi\) |
−0.784691 | + | 0.619887i | \(0.787178\pi\) | |||||||
\(978\) | −0.902778 | − | 3.81981i | −0.0288676 | − | 0.122144i | ||||
\(979\) | −32.3688 | − | 19.2111i | −1.03451 | − | 0.613989i | ||||
\(980\) | 0.579090 | + | 25.1419i | 0.0184983 | + | 0.803129i | ||||
\(981\) | 13.4526 | − | 3.50280i | 0.429508 | − | 0.111836i | ||||
\(982\) | 28.1990 | − | 12.5550i | 0.899866 | − | 0.400646i | ||||
\(983\) | 9.07308 | + | 4.03960i | 0.289386 | + | 0.128843i | 0.546296 | − | 0.837592i | \(-0.316038\pi\) |
−0.256909 | + | 0.966436i | \(0.582704\pi\) | |||||||
\(984\) | 2.60015 | − | 3.75473i | 0.0828899 | − | 0.119696i | ||||
\(985\) | −27.0822 | + | 24.3849i | −0.862910 | + | 0.776968i | ||||
\(986\) | 25.6083 | − | 18.6055i | 0.815535 | − | 0.592521i | ||||
\(987\) | −32.5464 | − | 24.5638i | −1.03596 | − | 0.781873i | ||||
\(988\) | −0.0873174 | − | 0.268735i | −0.00277794 | − | 0.00854961i | ||||
\(989\) | 14.5027 | + | 8.37312i | 0.461158 | + | 0.266250i | ||||
\(990\) | −34.6989 | + | 8.59052i | −1.10280 | + | 0.273025i | ||||
\(991\) | −26.5055 | − | 45.9090i | −0.841976 | − | 1.45835i | −0.888221 | − | 0.459416i | \(-0.848059\pi\) |
0.0462449 | − | 0.998930i | \(-0.485275\pi\) | |||||||
\(992\) | 8.83727 | + | 1.87842i | 0.280584 | + | 0.0596399i | ||||
\(993\) | 6.24846 | + | 48.7948i | 0.198289 | + | 1.54846i | ||||
\(994\) | −23.2037 | − | 18.3516i | −0.735976 | − | 0.582079i | ||||
\(995\) | 22.1810 | + | 7.20705i | 0.703186 | + | 0.228479i | ||||
\(996\) | 1.16448 | − | 14.1558i | 0.0368980 | − | 0.448544i | ||||
\(997\) | 18.0230 | − | 40.4803i | 0.570794 | − | 1.28202i | −0.365501 | − | 0.930811i | \(-0.619102\pi\) |
0.936295 | − | 0.351213i | \(-0.114231\pi\) | |||||||
\(998\) | −7.26277 | − | 0.763348i | −0.229899 | − | 0.0241634i | ||||
\(999\) | −8.38105 | + | 4.43604i | −0.265165 | + | 0.140350i |
(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 | 462.2.bf.a.5.4 | ✓ | 256 | |
3.2 | odd | 2 | inner | 462.2.bf.a.5.21 | yes | 256 | |
7.3 | odd | 6 | inner | 462.2.bf.a.269.3 | yes | 256 | |
11.9 | even | 5 | inner | 462.2.bf.a.383.27 | yes | 256 | |
21.17 | even | 6 | inner | 462.2.bf.a.269.27 | yes | 256 | |
33.20 | odd | 10 | inner | 462.2.bf.a.383.3 | yes | 256 | |
77.31 | odd | 30 | inner | 462.2.bf.a.185.21 | yes | 256 | |
231.185 | even | 30 | inner | 462.2.bf.a.185.4 | yes | 256 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
462.2.bf.a.5.4 | ✓ | 256 | 1.1 | even | 1 | trivial | |
462.2.bf.a.5.21 | yes | 256 | 3.2 | odd | 2 | inner | |
462.2.bf.a.185.4 | yes | 256 | 231.185 | even | 30 | inner | |
462.2.bf.a.185.21 | yes | 256 | 77.31 | odd | 30 | inner | |
462.2.bf.a.269.3 | yes | 256 | 7.3 | odd | 6 | inner | |
462.2.bf.a.269.27 | yes | 256 | 21.17 | even | 6 | inner | |
462.2.bf.a.383.3 | yes | 256 | 33.20 | odd | 10 | inner | |
462.2.bf.a.383.27 | yes | 256 | 11.9 | even | 5 | inner |