Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [560,2,Mod(221,560)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(560, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 9, 0, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("560.221");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 560 = 2^{4} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 560.cp (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.47162251319\) |
Analytic rank: | \(0\) |
Dimension: | \(256\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 221.31 | ||
Character | \(\chi\) | \(=\) | 560.221 |
Dual form | 560.2.cp.a.261.31 |
$q$-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 \(\left(\mathbb{Z}/560\mathbb{Z}\right)^\times\).
\(n\) | \(241\) | \(337\) | \(351\) | \(421\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) | \(1\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.246058 | − | 1.39264i | −0.173989 | − | 0.984748i | ||||
\(3\) | −1.41502 | + | 0.379153i | −0.816962 | + | 0.218904i | −0.643018 | − | 0.765851i | \(-0.722318\pi\) |
−0.173944 | + | 0.984756i | \(0.555651\pi\) | |||||||
\(4\) | −1.87891 | + | 0.685341i | −0.939456 | + | 0.342671i | ||||
\(5\) | −0.965926 | − | 0.258819i | −0.431975 | − | 0.115747i | ||||
\(6\) | 0.876202 | + | 1.87732i | 0.357708 | + | 0.766414i | ||||
\(7\) | −1.63294 | − | 2.08171i | −0.617194 | − | 0.786811i | ||||
\(8\) | 1.41676 | + | 2.44802i | 0.500899 | + | 0.865506i | ||||
\(9\) | −0.739552 | + | 0.426981i | −0.246517 | + | 0.142327i | ||||
\(10\) | −0.122769 | + | 1.40887i | −0.0388230 | + | 0.445525i | ||||
\(11\) | −0.00275438 | − | 0.0102795i | −0.000830478 | − | 0.00309938i | 0.965509 | − | 0.260368i | \(-0.0838440\pi\) |
−0.966340 | + | 0.257269i | \(0.917177\pi\) | |||||||
\(12\) | 2.39885 | − | 1.68217i | 0.692488 | − | 0.485600i | ||||
\(13\) | 1.75022 | + | 1.75022i | 0.485422 | + | 0.485422i | 0.906858 | − | 0.421436i | \(-0.138474\pi\) |
−0.421436 | + | 0.906858i | \(0.638474\pi\) | |||||||
\(14\) | −2.49728 | + | 2.78632i | −0.667426 | + | 0.744676i | ||||
\(15\) | 1.46494 | 0.378245 | ||||||||
\(16\) | 3.06061 | − | 2.57539i | 0.765154 | − | 0.643848i | ||||
\(17\) | −0.216847 | + | 0.375590i | −0.0525932 | + | 0.0910940i | −0.891123 | − | 0.453761i | \(-0.850082\pi\) |
0.838530 | + | 0.544855i | \(0.183415\pi\) | |||||||
\(18\) | 0.776605 | + | 0.924871i | 0.183047 | + | 0.217994i | ||||
\(19\) | −0.646988 | + | 2.41459i | −0.148429 | + | 0.553945i | 0.851150 | + | 0.524923i | \(0.175906\pi\) |
−0.999579 | + | 0.0290222i | \(0.990761\pi\) | |||||||
\(20\) | 1.99227 | − | 0.175691i | 0.445485 | − | 0.0392856i | ||||
\(21\) | 3.09993 | + | 2.32652i | 0.676460 | + | 0.507689i | ||||
\(22\) | −0.0136379 | + | 0.00636522i | −0.00290762 | + | 0.00135707i | ||||
\(23\) | 3.50595 | − | 2.02416i | 0.731041 | − | 0.422067i | −0.0877618 | − | 0.996141i | \(-0.527971\pi\) |
0.818803 | + | 0.574075i | \(0.194638\pi\) | |||||||
\(24\) | −2.93291 | − | 2.92683i | −0.598678 | − | 0.597436i | ||||
\(25\) | 0.866025 | + | 0.500000i | 0.173205 | + | 0.100000i | ||||
\(26\) | 2.00677 | − | 2.86808i | 0.393560 | − | 0.562477i | ||||
\(27\) | 3.99219 | − | 3.99219i | 0.768297 | − | 0.768297i | ||||
\(28\) | 4.49483 | + | 2.79222i | 0.849443 | + | 0.527680i | ||||
\(29\) | 6.06115 | + | 6.06115i | 1.12553 | + | 1.12553i | 0.990896 | + | 0.134631i | \(0.0429850\pi\) |
0.134631 | + | 0.990896i | \(0.457015\pi\) | |||||||
\(30\) | −0.360459 | − | 2.04013i | −0.0658105 | − | 0.372476i | ||||
\(31\) | −1.48571 | + | 2.57333i | −0.266842 | + | 0.462184i | −0.968045 | − | 0.250778i | \(-0.919313\pi\) |
0.701203 | + | 0.712962i | \(0.252647\pi\) | |||||||
\(32\) | −4.33969 | − | 3.62865i | −0.767156 | − | 0.641461i | ||||
\(33\) | 0.00779501 | + | 0.0135014i | 0.00135694 | + | 0.00235028i | ||||
\(34\) | 0.576420 | + | 0.209574i | 0.0988553 | + | 0.0359416i | ||||
\(35\) | 1.03851 | + | 2.43341i | 0.175541 | + | 0.411322i | ||||
\(36\) | 1.09693 | − | 1.30910i | 0.182821 | − | 0.218184i | ||||
\(37\) | 6.70964 | + | 1.79784i | 1.10306 | + | 0.295564i | 0.764009 | − | 0.645205i | \(-0.223228\pi\) |
0.339049 | + | 0.940769i | \(0.389895\pi\) | |||||||
\(38\) | 3.52186 | + | 0.306895i | 0.571322 | + | 0.0497849i | ||||
\(39\) | −3.14019 | − | 1.81299i | −0.502833 | − | 0.290311i | ||||
\(40\) | −0.734887 | − | 2.73129i | −0.116196 | − | 0.431855i | ||||
\(41\) | 1.88210i | 0.293935i | 0.989141 | + | 0.146968i | \(0.0469513\pi\) | ||||
−0.989141 | + | 0.146968i | \(0.953049\pi\) | |||||||
\(42\) | 2.47725 | − | 4.88956i | 0.382249 | − | 0.754475i | ||||
\(43\) | 6.27835 | − | 6.27835i | 0.957440 | − | 0.957440i | −0.0416909 | − | 0.999131i | \(-0.513274\pi\) |
0.999131 | + | 0.0416909i | \(0.0132745\pi\) | |||||||
\(44\) | 0.0122202 | + | 0.0174266i | 0.00184226 | + | 0.00262715i | ||||
\(45\) | 0.824864 | − | 0.221022i | 0.122963 | − | 0.0329479i | ||||
\(46\) | −3.68160 | − | 4.38448i | −0.542822 | − | 0.646456i | ||||
\(47\) | 1.14395 | + | 1.98137i | 0.166862 | + | 0.289013i | 0.937315 | − | 0.348484i | \(-0.113303\pi\) |
−0.770453 | + | 0.637497i | \(0.779970\pi\) | |||||||
\(48\) | −3.35436 | + | 4.80467i | −0.484161 | + | 0.693495i | ||||
\(49\) | −1.66701 | + | 6.79861i | −0.238144 | + | 0.971230i | ||||
\(50\) | 0.483229 | − | 1.32909i | 0.0683390 | − | 0.187962i | ||||
\(51\) | 0.164437 | − | 0.613686i | 0.0230257 | − | 0.0859332i | ||||
\(52\) | −4.48799 | − | 2.08900i | −0.622373 | − | 0.289693i | ||||
\(53\) | 0.875343 | + | 3.26682i | 0.120238 | + | 0.448733i | 0.999625 | − | 0.0273737i | \(-0.00871440\pi\) |
−0.879388 | + | 0.476106i | \(0.842048\pi\) | |||||||
\(54\) | −6.54200 | − | 4.57739i | −0.890254 | − | 0.622904i | ||||
\(55\) | 0.0106421i | 0.00143498i | ||||||||
\(56\) | 2.78258 | − | 6.94674i | 0.371838 | − | 0.928298i | ||||
\(57\) | − | 3.66200i | − | 0.485044i | ||||||
\(58\) | 6.94963 | − | 9.93241i | 0.912531 | − | 1.30419i | ||||
\(59\) | −1.05114 | − | 3.92290i | −0.136846 | − | 0.510718i | −0.999983 | − | 0.00574809i | \(-0.998170\pi\) |
0.863137 | − | 0.504970i | \(-0.168496\pi\) | |||||||
\(60\) | −2.75249 | + | 1.00398i | −0.355344 | + | 0.129613i | ||||
\(61\) | −1.50742 | + | 5.62576i | −0.193005 | + | 0.720304i | 0.799769 | + | 0.600308i | \(0.204955\pi\) |
−0.992774 | + | 0.119997i | \(0.961712\pi\) | |||||||
\(62\) | 3.94930 | + | 1.43588i | 0.501562 | + | 0.182357i | ||||
\(63\) | 2.09649 | + | 0.842297i | 0.264133 | + | 0.106119i | ||||
\(64\) | −3.98560 | + | 6.93650i | −0.498200 | + | 0.867062i | ||||
\(65\) | −1.23759 | − | 2.14357i | −0.153504 | − | 0.265877i | ||||
\(66\) | 0.0168846 | − | 0.0141778i | 0.00207834 | − | 0.00174516i | ||||
\(67\) | −5.29952 | + | 1.42000i | −0.647439 | + | 0.173481i | −0.567571 | − | 0.823325i | \(-0.692117\pi\) |
−0.0798684 | + | 0.996805i | \(0.525450\pi\) | |||||||
\(68\) | 0.150029 | − | 0.854315i | 0.0181937 | − | 0.103601i | ||||
\(69\) | −4.19352 | + | 4.19352i | −0.504841 | + | 0.504841i | ||||
\(70\) | 3.13334 | − | 2.04504i | 0.374506 | − | 0.244429i | ||||
\(71\) | 12.3604i | 1.46690i | 0.679741 | + | 0.733452i | \(0.262092\pi\) | ||||
−0.679741 | + | 0.733452i | \(0.737908\pi\) | |||||||
\(72\) | −2.09302 | − | 1.20551i | −0.246665 | − | 0.142071i | ||||
\(73\) | 1.20705 | + | 0.696889i | 0.141274 | + | 0.0815647i | 0.568971 | − | 0.822358i | \(-0.307342\pi\) |
−0.427697 | + | 0.903922i | \(0.640675\pi\) | |||||||
\(74\) | 0.852796 | − | 9.78651i | 0.0991355 | − | 1.13766i | ||||
\(75\) | −1.41502 | − | 0.379153i | −0.163392 | − | 0.0437809i | ||||
\(76\) | −0.439186 | − | 4.98021i | −0.0503781 | − | 0.571270i | ||||
\(77\) | −0.0169012 | + | 0.0225196i | −0.00192607 | + | 0.00256635i | ||||
\(78\) | −1.75218 | + | 4.81926i | −0.198395 | + | 0.545674i | ||||
\(79\) | −8.04492 | − | 13.9342i | −0.905124 | − | 1.56772i | −0.820750 | − | 0.571287i | \(-0.806444\pi\) |
−0.0843739 | − | 0.996434i | \(-0.526889\pi\) | |||||||
\(80\) | −3.62289 | + | 1.69549i | −0.405051 | + | 0.189562i | ||||
\(81\) | −2.85443 | + | 4.94402i | −0.317159 | + | 0.549336i | ||||
\(82\) | 2.62110 | − | 0.463106i | 0.289452 | − | 0.0511415i | ||||
\(83\) | 1.86041 | + | 1.86041i | 0.204206 | + | 0.204206i | 0.801799 | − | 0.597593i | \(-0.203876\pi\) |
−0.597593 | + | 0.801799i | \(0.703876\pi\) | |||||||
\(84\) | −7.41895 | − | 2.24682i | −0.809474 | − | 0.245148i | ||||
\(85\) | 0.306668 | − | 0.306668i | 0.0332628 | − | 0.0332628i | ||||
\(86\) | −10.2883 | − | 7.19867i | −1.10942 | − | 0.776252i | ||||
\(87\) | −10.8747 | − | 6.27854i | −1.16590 | − | 0.673130i | ||||
\(88\) | 0.0212621 | − | 0.0213063i | 0.00226655 | − | 0.00227126i | ||||
\(89\) | −7.02860 | + | 4.05796i | −0.745030 | + | 0.430143i | −0.823895 | − | 0.566742i | \(-0.808204\pi\) |
0.0788652 | + | 0.996885i | \(0.474870\pi\) | |||||||
\(90\) | −0.510768 | − | 1.09436i | −0.0538397 | − | 0.115355i | ||||
\(91\) | 0.785438 | − | 6.50143i | 0.0823363 | − | 0.681535i | ||||
\(92\) | −5.20013 | + | 6.20599i | −0.542151 | + | 0.647019i | ||||
\(93\) | 1.12663 | − | 4.20463i | 0.116826 | − | 0.435999i | ||||
\(94\) | 2.47787 | − | 2.08064i | 0.255573 | − | 0.214602i | ||||
\(95\) | 1.24989 | − | 2.16486i | 0.128235 | − | 0.222110i | ||||
\(96\) | 7.51656 | + | 3.48920i | 0.767156 | + | 0.356115i | ||||
\(97\) | −7.20356 | −0.731411 | −0.365705 | − | 0.930731i | \(-0.619172\pi\) | ||||
−0.365705 | + | 0.930731i | \(0.619172\pi\) | |||||||
\(98\) | 9.87822 | + | 0.648701i | 0.997851 | + | 0.0655287i | ||||
\(99\) | 0.00642616 | + | 0.00642616i | 0.000645853 | + | 0.000645853i | ||||
\(100\) | −1.96986 | − | 0.345933i | −0.196986 | − | 0.0345933i | ||||
\(101\) | 4.86884 | + | 18.1708i | 0.484468 | + | 1.80806i | 0.582445 | + | 0.812870i | \(0.302096\pi\) |
−0.0979770 | + | 0.995189i | \(0.531237\pi\) | |||||||
\(102\) | −0.895107 | − | 0.0779995i | −0.0886288 | − | 0.00772310i | ||||
\(103\) | −7.94590 | + | 4.58757i | −0.782933 | + | 0.452026i | −0.837469 | − | 0.546485i | \(-0.815965\pi\) |
0.0545359 | + | 0.998512i | \(0.482632\pi\) | |||||||
\(104\) | −1.80493 | + | 6.76419i | −0.176988 | + | 0.663284i | ||||
\(105\) | −2.39215 | − | 3.04957i | −0.233450 | − | 0.297607i | ||||
\(106\) | 4.33413 | − | 2.02287i | 0.420968 | − | 0.196478i | ||||
\(107\) | 16.4080 | + | 4.39652i | 1.58623 | + | 0.425028i | 0.940846 | − | 0.338835i | \(-0.110033\pi\) |
0.645379 | + | 0.763862i | \(0.276699\pi\) | |||||||
\(108\) | −4.76496 | + | 10.2370i | −0.458508 | + | 0.985054i | ||||
\(109\) | 9.40613 | − | 2.52037i | 0.900944 | − | 0.241407i | 0.221522 | − | 0.975155i | \(-0.428897\pi\) |
0.679422 | + | 0.733748i | \(0.262231\pi\) | |||||||
\(110\) | 0.0148207 | − | 0.00261857i | 0.00141310 | − | 0.000249671i | ||||
\(111\) | −10.1759 | −0.965857 | ||||||||
\(112\) | −10.3590 | − | 2.16584i | −0.978835 | − | 0.204653i | ||||
\(113\) | −2.16104 | −0.203294 | −0.101647 | − | 0.994821i | \(-0.532411\pi\) | ||||
−0.101647 | + | 0.994821i | \(0.532411\pi\) | |||||||
\(114\) | −5.09987 | + | 0.901064i | −0.477646 | + | 0.0843924i | ||||
\(115\) | −3.91038 | + | 1.04778i | −0.364645 | + | 0.0977063i | ||||
\(116\) | −15.5423 | − | 7.23440i | −1.44307 | − | 0.671698i | ||||
\(117\) | −2.04168 | − | 0.547068i | −0.188754 | − | 0.0505764i | ||||
\(118\) | −5.20456 | + | 2.42912i | −0.479118 | + | 0.223619i | ||||
\(119\) | 1.13597 | − | 0.161904i | 0.104134 | − | 0.0148417i | ||||
\(120\) | 2.07546 | + | 3.58619i | 0.189463 | + | 0.327373i | ||||
\(121\) | 9.52618 | − | 5.49994i | 0.866016 | − | 0.499995i | ||||
\(122\) | 8.20559 | + | 0.715034i | 0.742899 | + | 0.0647361i | ||||
\(123\) | −0.713606 | − | 2.66322i | −0.0643437 | − | 0.240134i | ||||
\(124\) | 1.02791 | − | 5.85328i | 0.0923093 | − | 0.525640i | ||||
\(125\) | −0.707107 | − | 0.707107i | −0.0632456 | − | 0.0632456i | ||||
\(126\) | 0.657161 | − | 3.12692i | 0.0585446 | − | 0.278568i | ||||
\(127\) | −10.6898 | −0.948565 | −0.474283 | − | 0.880373i | \(-0.657292\pi\) | ||||
−0.474283 | + | 0.880373i | \(0.657292\pi\) | |||||||
\(128\) | 10.6408 | + | 3.84374i | 0.940519 | + | 0.339742i | ||||
\(129\) | −6.50353 | + | 11.2644i | −0.572604 | + | 0.991780i | ||||
\(130\) | −2.68071 | + | 2.25096i | −0.235114 | + | 0.197422i | ||||
\(131\) | −4.30583 | + | 16.0696i | −0.376202 | + | 1.40400i | 0.475379 | + | 0.879781i | \(0.342311\pi\) |
−0.851581 | + | 0.524224i | \(0.824356\pi\) | |||||||
\(132\) | −0.0238992 | − | 0.0200256i | −0.00208016 | − | 0.00174301i | ||||
\(133\) | 6.08297 | − | 2.59605i | 0.527460 | − | 0.225106i | ||||
\(134\) | 3.28154 | + | 7.03094i | 0.283482 | + | 0.607380i | ||||
\(135\) | −4.88941 | + | 2.82290i | −0.420814 | + | 0.242957i | ||||
\(136\) | −1.22667 | + | 0.00127382i | −0.105186 | + | 0.000109229i | ||||
\(137\) | 9.43510 | + | 5.44736i | 0.806095 | + | 0.465399i | 0.845598 | − | 0.533820i | \(-0.179244\pi\) |
−0.0395027 | + | 0.999219i | \(0.512577\pi\) | |||||||
\(138\) | 6.87193 | + | 4.80823i | 0.584977 | + | 0.409304i | ||||
\(139\) | −1.68561 | + | 1.68561i | −0.142971 | + | 0.142971i | −0.774970 | − | 0.631998i | \(-0.782235\pi\) |
0.631998 | + | 0.774970i | \(0.282235\pi\) | |||||||
\(140\) | −3.61899 | − | 3.86043i | −0.305861 | − | 0.326266i | ||||
\(141\) | −2.36995 | − | 2.36995i | −0.199586 | − | 0.199586i | ||||
\(142\) | 17.2136 | − | 3.04136i | 1.44453 | − | 0.255225i | ||||
\(143\) | 0.0131706 | − | 0.0228121i | 0.00110138 | − | 0.00190764i | ||||
\(144\) | −1.16384 | + | 3.21146i | −0.0969869 | + | 0.267622i | ||||
\(145\) | −4.28588 | − | 7.42336i | −0.355923 | − | 0.616477i | ||||
\(146\) | 0.673515 | − | 1.85246i | 0.0557405 | − | 0.153311i | ||||
\(147\) | −0.218863 | − | 10.2522i | −0.0180515 | − | 0.845589i | ||||
\(148\) | −13.8390 | + | 1.22041i | −1.13756 | + | 0.100317i | ||||
\(149\) | −0.142514 | − | 0.0381866i | −0.0116752 | − | 0.00312837i | 0.252977 | − | 0.967472i | \(-0.418590\pi\) |
−0.264652 | + | 0.964344i | \(0.585257\pi\) | |||||||
\(150\) | −0.179849 | + | 2.06391i | −0.0146846 | + | 0.168518i | ||||
\(151\) | 15.5576 | + | 8.98217i | 1.26606 | + | 0.730959i | 0.974240 | − | 0.225515i | \(-0.0724065\pi\) |
0.291818 | + | 0.956474i | \(0.405740\pi\) | |||||||
\(152\) | −6.82759 | + | 1.83705i | −0.553791 | + | 0.149004i | ||||
\(153\) | − | 0.370358i | − | 0.0299417i | ||||||
\(154\) | 0.0355205 | + | 0.0179962i | 0.00286232 | + | 0.00145017i | ||||
\(155\) | 2.10112 | − | 2.10112i | 0.168766 | − | 0.168766i | ||||
\(156\) | 7.14265 | + | 1.25434i | 0.571870 | + | 0.100428i | ||||
\(157\) | 15.6676 | − | 4.19812i | 1.25041 | − | 0.335046i | 0.427915 | − | 0.903819i | \(-0.359248\pi\) |
0.822495 | + | 0.568773i | \(0.192582\pi\) | |||||||
\(158\) | −17.4259 | + | 14.6323i | −1.38633 | + | 1.16409i | ||||
\(159\) | −2.47725 | − | 4.29073i | −0.196459 | − | 0.340277i | ||||
\(160\) | 3.25265 | + | 4.62820i | 0.257145 | + | 0.365891i | ||||
\(161\) | −9.93872 | − | 3.99303i | −0.783281 | − | 0.314695i | ||||
\(162\) | 7.58761 | + | 2.75869i | 0.596139 | + | 0.216743i | ||||
\(163\) | 3.68561 | − | 13.7549i | 0.288679 | − | 1.07737i | −0.657429 | − | 0.753516i | \(-0.728356\pi\) |
0.946109 | − | 0.323850i | \(-0.104977\pi\) | |||||||
\(164\) | −1.28988 | − | 3.53631i | −0.100723 | − | 0.276139i | ||||
\(165\) | −0.00403500 | − | 0.0150588i | −0.000314124 | − | 0.00117233i | ||||
\(166\) | 2.13312 | − | 3.04865i | 0.165562 | − | 0.236621i | ||||
\(167\) | 10.5243i | 0.814394i | 0.913340 | + | 0.407197i | \(0.133494\pi\) | ||||
−0.913340 | + | 0.407197i | \(0.866506\pi\) | |||||||
\(168\) | −1.30353 | + | 10.8848i | −0.100569 | + | 0.839781i | ||||
\(169\) | − | 6.87349i | − | 0.528730i | ||||||
\(170\) | −0.502538 | − | 0.351621i | −0.0385429 | − | 0.0269681i | ||||
\(171\) | −0.552503 | − | 2.06197i | −0.0422510 | − | 0.157683i | ||||
\(172\) | −7.49365 | + | 16.0993i | −0.571386 | + | 1.22756i | ||||
\(173\) | −2.50469 | + | 9.34763i | −0.190428 | + | 0.710687i | 0.802975 | + | 0.596012i | \(0.203249\pi\) |
−0.993403 | + | 0.114674i | \(0.963418\pi\) | |||||||
\(174\) | −6.06795 | + | 16.6895i | −0.460010 | + | 1.26523i | ||||
\(175\) | −0.373314 | − | 2.61928i | −0.0282199 | − | 0.197999i | ||||
\(176\) | −0.0349038 | − | 0.0243680i | −0.00263097 | − | 0.00183680i | ||||
\(177\) | 2.97476 | + | 5.15244i | 0.223597 | + | 0.387281i | ||||
\(178\) | 7.38074 | + | 8.78984i | 0.553210 | + | 0.658826i | ||||
\(179\) | −1.35377 | + | 0.362742i | −0.101186 | + | 0.0271126i | −0.309057 | − | 0.951044i | \(-0.600013\pi\) |
0.207871 | + | 0.978156i | \(0.433347\pi\) | |||||||
\(180\) | −1.39837 | + | 0.980593i | −0.104228 | + | 0.0730891i | ||||
\(181\) | 6.58260 | − | 6.58260i | 0.489281 | − | 0.489281i | −0.418798 | − | 0.908079i | \(-0.637549\pi\) |
0.908079 | + | 0.418798i | \(0.137549\pi\) | |||||||
\(182\) | −9.24744 | + | 0.505892i | −0.685466 | + | 0.0374992i | ||||
\(183\) | − | 8.53210i | − | 0.630711i | ||||||
\(184\) | 9.92226 | + | 5.71489i | 0.731479 | + | 0.421307i | ||||
\(185\) | −6.01570 | − | 3.47317i | −0.442283 | − | 0.255352i | ||||
\(186\) | −6.13276 | − | 0.534408i | −0.449676 | − | 0.0391847i | ||||
\(187\) | 0.00445816 | + | 0.00119456i | 0.000326013 | + | 8.73549e-5i | ||||
\(188\) | −3.50729 | − | 2.93883i | −0.255795 | − | 0.214336i | ||||
\(189\) | −14.8296 | − | 1.79156i | −1.07869 | − | 0.130317i | ||||
\(190\) | −3.32243 | − | 1.20796i | −0.241034 | − | 0.0876348i | ||||
\(191\) | −6.22609 | − | 10.7839i | −0.450504 | − | 0.780296i | 0.547913 | − | 0.836535i | \(-0.315422\pi\) |
−0.998417 | + | 0.0562393i | \(0.982089\pi\) | |||||||
\(192\) | 3.00971 | − | 11.3264i | 0.217207 | − | 0.817415i | ||||
\(193\) | 6.69852 | − | 11.6022i | 0.482170 | − | 0.835143i | −0.517620 | − | 0.855610i | \(-0.673182\pi\) |
0.999791 | + | 0.0204672i | \(0.00651537\pi\) | |||||||
\(194\) | 1.77249 | + | 10.0320i | 0.127257 | + | 0.720255i | ||||
\(195\) | 2.56395 | + | 2.56395i | 0.183609 | + | 0.183609i | ||||
\(196\) | −1.52720 | − | 13.9165i | −0.109086 | − | 0.994032i | ||||
\(197\) | −9.88179 | + | 9.88179i | −0.704049 | + | 0.704049i | −0.965277 | − | 0.261228i | \(-0.915872\pi\) |
0.261228 | + | 0.965277i | \(0.415872\pi\) | |||||||
\(198\) | 0.00736814 | − | 0.0105306i | 0.000523631 | − | 0.000748374i | ||||
\(199\) | −8.96155 | − | 5.17396i | −0.635268 | − | 0.366772i | 0.147522 | − | 0.989059i | \(-0.452870\pi\) |
−0.782789 | + | 0.622287i | \(0.786204\pi\) | |||||||
\(200\) | 0.00293713 | + | 2.82843i | 0.000207687 | + | 0.200000i | ||||
\(201\) | 6.96052 | − | 4.01866i | 0.490958 | − | 0.283454i | ||||
\(202\) | 24.1074 | − | 11.2516i | 1.69619 | − | 0.791661i | ||||
\(203\) | 2.72004 | − | 22.5150i | 0.190909 | − | 1.58025i | ||||
\(204\) | 0.111622 | + | 1.26576i | 0.00781513 | + | 0.0886207i | ||||
\(205\) | 0.487124 | − | 1.81797i | 0.0340222 | − | 0.126973i | ||||
\(206\) | 8.34399 | + | 9.93700i | 0.581354 | + | 0.692343i | ||||
\(207\) | −1.72856 | + | 2.99395i | −0.120143 | + | 0.208094i | ||||
\(208\) | 9.86422 | + | 0.849247i | 0.683961 | + | 0.0588847i | ||||
\(209\) | 0.0266028 | 0.00184016 | ||||||||
\(210\) | −3.65835 | + | 4.08179i | −0.252450 | + | 0.281670i | ||||
\(211\) | 5.97638 | + | 5.97638i | 0.411431 | + | 0.411431i | 0.882237 | − | 0.470806i | \(-0.156037\pi\) |
−0.470806 | + | 0.882237i | \(0.656037\pi\) | |||||||
\(212\) | −3.88358 | − | 5.53816i | −0.266725 | − | 0.380363i | ||||
\(213\) | −4.68647 | − | 17.4901i | −0.321112 | − | 1.19840i | ||||
\(214\) | 2.08546 | − | 23.9323i | 0.142559 | − | 1.63598i | ||||
\(215\) | −7.68938 | + | 4.43946i | −0.524411 | + | 0.302769i | ||||
\(216\) | 15.4289 | + | 4.11700i | 1.04980 | + | 0.280126i | ||||
\(217\) | 7.78300 | − | 1.10928i | 0.528344 | − | 0.0753026i | ||||
\(218\) | −5.82442 | − | 12.4792i | −0.394480 | − | 0.845200i | ||||
\(219\) | −1.97222 | − | 0.528456i | −0.133271 | − | 0.0357097i | ||||
\(220\) | −0.00729348 | − | 0.0199956i | −0.000491726 | − | 0.00134810i | ||||
\(221\) | −1.03689 | + | 0.277835i | −0.0697490 | + | 0.0186892i | ||||
\(222\) | 2.50387 | + | 14.1715i | 0.168049 | + | 0.951126i | ||||
\(223\) | −0.576138 | −0.0385810 | −0.0192905 | − | 0.999814i | \(-0.506141\pi\) | ||||
−0.0192905 | + | 0.999814i | \(0.506141\pi\) | |||||||
\(224\) | −0.467335 | + | 14.9593i | −0.0312251 | + | 0.999512i | ||||
\(225\) | −0.853962 | −0.0569308 | ||||||||
\(226\) | 0.531741 | + | 3.00956i | 0.0353709 | + | 0.200193i | ||||
\(227\) | 11.4684 | − | 3.07294i | 0.761182 | − | 0.203958i | 0.142710 | − | 0.989765i | \(-0.454418\pi\) |
0.618473 | + | 0.785806i | \(0.287752\pi\) | |||||||
\(228\) | 2.50972 | + | 6.88058i | 0.166210 | + | 0.455678i | ||||
\(229\) | −26.5060 | − | 7.10227i | −1.75157 | − | 0.469331i | −0.766609 | − | 0.642115i | \(-0.778057\pi\) |
−0.984960 | + | 0.172783i | \(0.944724\pi\) | |||||||
\(230\) | 2.42137 | + | 5.18795i | 0.159660 | + | 0.342083i | ||||
\(231\) | 0.0153771 | − | 0.0382738i | 0.00101174 | − | 0.00251823i | ||||
\(232\) | −6.25064 | + | 23.4250i | −0.410375 | + | 1.53793i | ||||
\(233\) | −0.423405 | + | 0.244453i | −0.0277382 | + | 0.0160147i | −0.513805 | − | 0.857907i | \(-0.671765\pi\) |
0.486067 | + | 0.873922i | \(0.338431\pi\) | |||||||
\(234\) | −0.259498 | + | 2.97795i | −0.0169639 | + | 0.194675i | ||||
\(235\) | −0.592150 | − | 2.20993i | −0.0386276 | − | 0.144160i | ||||
\(236\) | 4.66352 | + | 6.65039i | 0.303569 | + | 0.432903i | ||||
\(237\) | 16.6669 | + | 16.6669i | 1.08263 | + | 1.08263i | ||||
\(238\) | −0.504989 | − | 1.54216i | −0.0327335 | − | 0.0999634i | ||||
\(239\) | 9.25171 | 0.598443 | 0.299222 | − | 0.954184i | \(-0.403273\pi\) | ||||
0.299222 | + | 0.954184i | \(0.403273\pi\) | |||||||
\(240\) | 4.48361 | − | 3.77278i | 0.289416 | − | 0.243532i | ||||
\(241\) | 5.72741 | − | 9.92016i | 0.368935 | − | 0.639014i | −0.620464 | − | 0.784235i | \(-0.713056\pi\) |
0.989399 | + | 0.145221i | \(0.0463892\pi\) | |||||||
\(242\) | −10.0034 | − | 11.9133i | −0.643046 | − | 0.765814i | ||||
\(243\) | −2.21919 | + | 8.28214i | −0.142361 | + | 0.531299i | ||||
\(244\) | −1.02326 | − | 11.6034i | −0.0655075 | − | 0.742831i | ||||
\(245\) | 3.36982 | − | 6.13550i | 0.215290 | − | 0.391983i | ||||
\(246\) | −3.53332 | + | 1.64910i | −0.225276 | + | 0.105143i | ||||
\(247\) | −5.35843 | + | 3.09369i | −0.340948 | + | 0.196847i | ||||
\(248\) | −8.40446 | + | 0.00872746i | −0.533683 | + | 0.000554195i | ||||
\(249\) | −3.33789 | − | 1.92713i | −0.211530 | − | 0.122127i | ||||
\(250\) | −0.810759 | + | 1.15874i | −0.0512769 | + | 0.0732849i | ||||
\(251\) | −11.2545 | + | 11.2545i | −0.710378 | + | 0.710378i | −0.966614 | − | 0.256236i | \(-0.917518\pi\) |
0.256236 | + | 0.966614i | \(0.417518\pi\) | |||||||
\(252\) | −4.51639 | − | 0.145788i | −0.284506 | − | 0.00918379i | ||||
\(253\) | −0.0304641 | − | 0.0304641i | −0.00191526 | − | 0.00191526i | ||||
\(254\) | 2.63030 | + | 14.8871i | 0.165040 | + | 0.934097i | ||||
\(255\) | −0.317667 | + | 0.550216i | −0.0198931 | + | 0.0344559i | ||||
\(256\) | 2.73473 | − | 15.7646i | 0.170920 | − | 0.985285i | ||||
\(257\) | −14.7912 | − | 25.6191i | −0.922648 | − | 1.59807i | −0.795301 | − | 0.606215i | \(-0.792687\pi\) |
−0.127347 | − | 0.991858i | \(-0.540646\pi\) | |||||||
\(258\) | 17.2876 | + | 6.28540i | 1.07628 | + | 0.391312i | ||||
\(259\) | −7.21387 | − | 16.9033i | −0.448248 | − | 1.05032i | ||||
\(260\) | 3.79440 | + | 3.17940i | 0.235318 | + | 0.197178i | ||||
\(261\) | −7.07053 | − | 1.89454i | −0.437655 | − | 0.117269i | ||||
\(262\) | 23.4387 | + | 2.04244i | 1.44805 | + | 0.126183i | ||||
\(263\) | 10.3078 | + | 5.95123i | 0.635608 | + | 0.366968i | 0.782921 | − | 0.622122i | \(-0.213729\pi\) |
−0.147313 | + | 0.989090i | \(0.547062\pi\) | |||||||
\(264\) | −0.0220080 | + | 0.0382105i | −0.00135450 | + | 0.00235169i | ||||
\(265\) | − | 3.38206i | − | 0.207759i | ||||||
\(266\) | −5.11213 | − | 7.83263i | −0.313445 | − | 0.480249i | ||||
\(267\) | 8.40702 | − | 8.40702i | 0.514501 | − | 0.514501i | ||||
\(268\) | 8.98414 | − | 6.30003i | 0.548794 | − | 0.384836i | ||||
\(269\) | 26.2792 | − | 7.04150i | 1.60227 | − | 0.429328i | 0.656544 | − | 0.754287i | \(-0.272017\pi\) |
0.945728 | + | 0.324960i | \(0.105351\pi\) | |||||||
\(270\) | 5.13438 | + | 6.11461i | 0.312468 | + | 0.372123i | ||||
\(271\) | 12.9716 | + | 22.4674i | 0.787967 | + | 1.36480i | 0.927211 | + | 0.374540i | \(0.122199\pi\) |
−0.139244 | + | 0.990258i | \(0.544467\pi\) | |||||||
\(272\) | 0.303606 | + | 1.70800i | 0.0184088 | + | 0.103563i | ||||
\(273\) | 1.35363 | + | 9.49746i | 0.0819254 | + | 0.574812i | ||||
\(274\) | 5.26465 | − | 14.4801i | 0.318049 | − | 0.874775i | ||||
\(275\) | 0.00275438 | − | 0.0102795i | 0.000166096 | − | 0.000619877i | ||||
\(276\) | 5.00526 | − | 10.7532i | 0.301281 | − | 0.647269i | ||||
\(277\) | 0.686270 | + | 2.56119i | 0.0412339 | + | 0.153887i | 0.983473 | − | 0.181053i | \(-0.0579506\pi\) |
−0.942239 | + | 0.334940i | \(0.891284\pi\) | |||||||
\(278\) | 2.76221 | + | 1.93269i | 0.165666 | + | 0.115915i | ||||
\(279\) | − | 2.53748i | − | 0.151915i | ||||||
\(280\) | −4.48572 | + | 5.98985i | −0.268073 | + | 0.357962i | ||||
\(281\) | − | 26.2914i | − | 1.56842i | −0.620498 | − | 0.784208i | \(-0.713070\pi\) | ||
0.620498 | − | 0.784208i | \(-0.286930\pi\) | |||||||
\(282\) | −2.71735 | + | 3.88364i | −0.161816 | + | 0.231267i | ||||
\(283\) | −7.35141 | − | 27.4358i | −0.436996 | − | 1.63089i | −0.736244 | − | 0.676716i | \(-0.763402\pi\) |
0.299248 | − | 0.954175i | \(-0.403264\pi\) | |||||||
\(284\) | −8.47106 | − | 23.2240i | −0.502665 | − | 1.37809i | ||||
\(285\) | −0.947796 | + | 3.53722i | −0.0561426 | + | 0.209527i | ||||
\(286\) | −0.0350098 | − | 0.0127288i | −0.00207017 | − | 0.000752671i | ||||
\(287\) | 3.91799 | − | 3.07336i | 0.231272 | − | 0.181415i | ||||
\(288\) | 4.75879 | + | 0.830614i | 0.280414 | + | 0.0489444i | ||||
\(289\) | 8.40595 | + | 14.5595i | 0.494468 | + | 0.856444i | ||||
\(290\) | −9.28352 | + | 7.79528i | −0.545147 | + | 0.457754i | ||||
\(291\) | 10.1932 | − | 2.73125i | 0.597535 | − | 0.160109i | ||||
\(292\) | −2.74554 | − | 0.482153i | −0.160671 | − | 0.0282159i | ||||
\(293\) | 4.05308 | − | 4.05308i | 0.236784 | − | 0.236784i | −0.578733 | − | 0.815517i | \(-0.696453\pi\) |
0.815517 | + | 0.578733i | \(0.196453\pi\) | |||||||
\(294\) | −14.2238 | + | 2.82744i | −0.829551 | + | 0.164899i | ||||
\(295\) | 4.06128i | 0.236457i | ||||||||
\(296\) | 5.10477 | + | 18.9724i | 0.296709 | + | 1.10275i | ||||
\(297\) | −0.0520337 | − | 0.0300417i | −0.00301930 | − | 0.00174319i | ||||
\(298\) | −0.0181136 | + | 0.207868i | −0.00104929 | + | 0.0120415i | ||||
\(299\) | 9.67889 | + | 2.59345i | 0.559744 | + | 0.149983i | ||||
\(300\) | 2.91855 | − | 0.257376i | 0.168502 | − | 0.0148596i | ||||
\(301\) | −23.3219 | − | 2.81751i | −1.34425 | − | 0.162399i | ||||
\(302\) | 8.68090 | − | 23.8763i | 0.499530 | − | 1.37393i | ||||
\(303\) | −13.7790 | − | 23.8660i | −0.791584 | − | 1.37106i | ||||
\(304\) | 4.23834 | + | 9.05638i | 0.243085 | + | 0.519419i | ||||
\(305\) | 2.91211 | − | 5.04392i | 0.166747 | − | 0.288814i | ||||
\(306\) | −0.515777 | + | 0.0911295i | −0.0294850 | + | 0.00520953i | ||||
\(307\) | −11.1660 | − | 11.1660i | −0.637279 | − | 0.637279i | 0.312605 | − | 0.949883i | \(-0.398798\pi\) |
−0.949883 | + | 0.312605i | \(0.898798\pi\) | |||||||
\(308\) | 0.0163221 | − | 0.0538954i | 0.000930041 | − | 0.00307098i | ||||
\(309\) | 9.50421 | − | 9.50421i | 0.540676 | − | 0.540676i | ||||
\(310\) | −3.44310 | − | 2.40911i | −0.195555 | − | 0.136828i | ||||
\(311\) | 19.6624 | + | 11.3521i | 1.11495 | + | 0.643718i | 0.940108 | − | 0.340878i | \(-0.110724\pi\) |
0.174845 | + | 0.984596i | \(0.444058\pi\) | |||||||
\(312\) | −0.0106500 | − | 10.2558i | −0.000602936 | − | 0.580621i | ||||
\(313\) | 10.5284 | − | 6.07858i | 0.595101 | − | 0.343581i | −0.172011 | − | 0.985095i | \(-0.555027\pi\) |
0.767112 | + | 0.641514i | \(0.221693\pi\) | |||||||
\(314\) | −9.70161 | − | 20.7864i | −0.547493 | − | 1.17304i | ||||
\(315\) | −1.80706 | − | 1.35621i | −0.101816 | − | 0.0764137i | ||||
\(316\) | 24.6654 | + | 20.6676i | 1.38754 | + | 1.16265i | ||||
\(317\) | −7.52888 | + | 28.0982i | −0.422864 | + | 1.57815i | 0.345679 | + | 0.938353i | \(0.387649\pi\) |
−0.768543 | + | 0.639798i | \(0.779018\pi\) | |||||||
\(318\) | −5.36591 | + | 4.50570i | −0.300905 | + | 0.252667i | ||||
\(319\) | 0.0456108 | − | 0.0790003i | 0.00255372 | − | 0.00442317i | ||||
\(320\) | 5.64509 | − | 5.66859i | 0.315570 | − | 0.316884i | ||||
\(321\) | −24.8847 | −1.38893 | ||||||||
\(322\) | −3.11536 | + | 14.8236i | −0.173612 | + | 0.826087i | ||||
\(323\) | −0.766600 | − | 0.766600i | −0.0426548 | − | 0.0426548i | ||||
\(324\) | 1.97488 | − | 11.2456i | 0.109716 | − | 0.624758i | ||||
\(325\) | 0.640623 | + | 2.39084i | 0.0355354 | + | 0.132620i | ||||
\(326\) | −20.0625 | − | 1.74825i | −1.11116 | − | 0.0968264i | ||||
\(327\) | −12.3543 | + | 7.13273i | −0.683192 | + | 0.394441i | ||||
\(328\) | −4.60743 | + | 2.66648i | −0.254403 | + | 0.147232i | ||||
\(329\) | 2.25664 | − | 5.61682i | 0.124413 | − | 0.309666i | ||||
\(330\) | −0.0199787 | + | 0.00932464i | −0.00109979 | + | 0.000513305i | ||||
\(331\) | 20.6536 | + | 5.53412i | 1.13522 | + | 0.304183i | 0.777030 | − | 0.629464i | \(-0.216726\pi\) |
0.358195 | + | 0.933647i | \(0.383392\pi\) | |||||||
\(332\) | −4.77055 | − | 2.22053i | −0.261818 | − | 0.121867i | ||||
\(333\) | −5.72978 | + | 1.53529i | −0.313990 | + | 0.0841333i | ||||
\(334\) | 14.6566 | − | 2.58958i | 0.801973 | − | 0.141696i | ||||
\(335\) | 5.48646 | 0.299758 | ||||||||
\(336\) | 15.4794 | − | 0.862942i | 0.844470 | − | 0.0470773i | ||||
\(337\) | −24.2420 | −1.32054 | −0.660272 | − | 0.751027i | \(-0.729559\pi\) | ||||
−0.660272 | + | 0.751027i | \(0.729559\pi\) | |||||||
\(338\) | −9.57232 | + | 1.69128i | −0.520666 | + | 0.0919933i | ||||
\(339\) | 3.05792 | − | 0.819366i | 0.166083 | − | 0.0445019i | ||||
\(340\) | −0.366030 | + | 0.786375i | −0.0198508 | + | 0.0426472i | ||||
\(341\) | 0.0305448 | + | 0.00818444i | 0.00165409 | + | 0.000443212i | ||||
\(342\) | −2.73564 | + | 1.27680i | −0.147926 | + | 0.0690416i | ||||
\(343\) | 16.8748 | − | 7.63150i | 0.911156 | − | 0.412062i | ||||
\(344\) | 24.2644 | + | 6.47463i | 1.30825 | + | 0.349089i | ||||
\(345\) | 5.13599 | − | 2.96527i | 0.276513 | − | 0.159645i | ||||
\(346\) | 13.6342 | + | 1.18808i | 0.732980 | + | 0.0638718i | ||||
\(347\) | 3.18310 | + | 11.8795i | 0.170878 | + | 0.637725i | 0.997217 | + | 0.0745524i | \(0.0237528\pi\) |
−0.826339 | + | 0.563173i | \(0.809581\pi\) | |||||||
\(348\) | 24.7356 | + | 4.34390i | 1.32597 | + | 0.232858i | ||||
\(349\) | 24.7337 | + | 24.7337i | 1.32397 | + | 1.32397i | 0.910535 | + | 0.413431i | \(0.135670\pi\) |
0.413431 | + | 0.910535i | \(0.364330\pi\) | |||||||
\(350\) | −3.55587 | + | 1.16439i | −0.190069 | + | 0.0622392i | ||||
\(351\) | 13.9744 | 0.745897 | ||||||||
\(352\) | −0.0253475 | + | 0.0546045i | −0.00135103 | + | 0.00291043i | ||||
\(353\) | 3.32899 | − | 5.76598i | 0.177184 | − | 0.306892i | −0.763731 | − | 0.645535i | \(-0.776635\pi\) |
0.940915 | + | 0.338643i | \(0.109968\pi\) | |||||||
\(354\) | 6.44354 | − | 5.41058i | 0.342470 | − | 0.287569i | ||||
\(355\) | 3.19909 | − | 11.9392i | 0.169790 | − | 0.633666i | ||||
\(356\) | 10.4250 | − | 12.4415i | 0.552525 | − | 0.659401i | ||||
\(357\) | −1.54603 | + | 0.659804i | −0.0818246 | + | 0.0349205i | ||||
\(358\) | 0.838276 | + | 1.79607i | 0.0443043 | + | 0.0949250i | ||||
\(359\) | 10.8346 | − | 6.25533i | 0.571826 | − | 0.330144i | −0.186052 | − | 0.982540i | \(-0.559569\pi\) |
0.757878 | + | 0.652396i | \(0.226236\pi\) | |||||||
\(360\) | 1.70970 | + | 1.70615i | 0.0901089 | + | 0.0899219i | ||||
\(361\) | 11.0428 | + | 6.37557i | 0.581201 | + | 0.335557i | ||||
\(362\) | −10.7869 | − | 7.54752i | −0.566948 | − | 0.396689i | ||||
\(363\) | −11.3944 | + | 11.3944i | −0.598052 | + | 0.598052i | ||||
\(364\) | 2.97993 | + | 12.7539i | 0.156191 | + | 0.668487i | ||||
\(365\) | −0.985550 | − | 0.985550i | −0.0515860 | − | 0.0515860i | ||||
\(366\) | −11.8822 | + | 2.09939i | −0.621091 | + | 0.109737i | ||||
\(367\) | −15.6233 | + | 27.0604i | −0.815530 | + | 1.41254i | 0.0934159 | + | 0.995627i | \(0.470221\pi\) |
−0.908946 | + | 0.416913i | \(0.863112\pi\) | |||||||
\(368\) | 5.51736 | − | 15.2244i | 0.287612 | − | 0.793625i | ||||
\(369\) | −0.803622 | − | 1.39191i | −0.0418349 | − | 0.0724602i | ||||
\(370\) | −3.35667 | + | 9.23233i | −0.174505 | + | 0.479966i | ||||
\(371\) | 5.37119 | − | 7.15673i | 0.278858 | − | 0.371559i | ||||
\(372\) | 0.764773 | + | 8.67224i | 0.0396516 | + | 0.449635i | ||||
\(373\) | −14.3539 | − | 3.84611i | −0.743216 | − | 0.199144i | −0.132709 | − | 0.991155i | \(-0.542368\pi\) |
−0.610507 | + | 0.792011i | \(0.709034\pi\) | |||||||
\(374\) | 0.000566632 | − | 0.00650256i | 2.92998e−5 | − | 0.000336239i | ||||
\(375\) | 1.26867 | + | 0.732468i | 0.0655139 | + | 0.0378245i | ||||
\(376\) | −3.22975 | + | 5.60752i | −0.166561 | + | 0.289186i | ||||
\(377\) | 21.2166i | 1.09271i | ||||||||
\(378\) | 1.15393 | + | 21.0931i | 0.0593515 | + | 1.08491i | ||||
\(379\) | −10.7134 | + | 10.7134i | −0.550309 | + | 0.550309i | −0.926530 | − | 0.376221i | \(-0.877223\pi\) |
0.376221 | + | 0.926530i | \(0.377223\pi\) | |||||||
\(380\) | −0.864752 | + | 4.92419i | −0.0443609 | + | 0.252605i | ||||
\(381\) | 15.1263 | − | 4.05307i | 0.774942 | − | 0.207645i | ||||
\(382\) | −13.4862 | + | 11.3242i | −0.690012 | + | 0.579396i | ||||
\(383\) | 6.21674 | + | 10.7677i | 0.317661 | + | 0.550204i | 0.979999 | − | 0.199000i | \(-0.0637694\pi\) |
−0.662339 | + | 0.749204i | \(0.730436\pi\) | |||||||
\(384\) | −16.5142 | − | 1.40450i | −0.842739 | − | 0.0716730i | ||||
\(385\) | 0.0221538 | − | 0.0173779i | 0.00112906 | − | 0.000885662i | ||||
\(386\) | −17.8059 | − | 6.47385i | −0.906298 | − | 0.329510i | ||||
\(387\) | −1.96243 | + | 7.32391i | −0.0997562 | + | 0.372295i | ||||
\(388\) | 13.5348 | − | 4.93690i | 0.687128 | − | 0.250633i | ||||
\(389\) | 2.60483 | + | 9.72136i | 0.132070 | + | 0.492892i | 0.999993 | − | 0.00380701i | \(-0.00121181\pi\) |
−0.867923 | + | 0.496699i | \(0.834545\pi\) | |||||||
\(390\) | 2.93979 | − | 4.20155i | 0.148862 | − | 0.212754i | ||||
\(391\) | 1.75573i | 0.0887913i | ||||||||
\(392\) | −19.0049 | + | 5.55110i | −0.959891 | + | 0.280373i | ||||
\(393\) | − | 24.3713i | − | 1.22937i | ||||||
\(394\) | 16.1933 | + | 11.3303i | 0.815807 | + | 0.570813i | ||||
\(395\) | 4.16436 | + | 15.5416i | 0.209532 | + | 0.781982i | ||||
\(396\) | −0.0164783 | − | 0.00767007i | −0.000828065 | − | 0.000385436i | ||||
\(397\) | −4.97268 | + | 18.5583i | −0.249572 | + | 0.931414i | 0.721458 | + | 0.692458i | \(0.243472\pi\) |
−0.971030 | + | 0.238957i | \(0.923195\pi\) | |||||||
\(398\) | −5.00042 | + | 13.7533i | −0.250648 | + | 0.689393i | ||||
\(399\) | −7.62322 | + | 5.97983i | −0.381638 | + | 0.299366i | ||||
\(400\) | 3.93827 | − | 0.700046i | 0.196913 | − | 0.0350023i | ||||
\(401\) | 3.81786 | + | 6.61273i | 0.190655 | + | 0.330224i | 0.945467 | − | 0.325716i | \(-0.105605\pi\) |
−0.754812 | + | 0.655941i | \(0.772272\pi\) | |||||||
\(402\) | −7.30925 | − | 8.70471i | −0.364552 | − | 0.434151i | ||||
\(403\) | −7.10420 | + | 1.90356i | −0.353885 | + | 0.0948233i | ||||
\(404\) | −21.6013 | − | 30.8044i | −1.07470 | − | 1.53258i | ||||
\(405\) | 4.03678 | − | 4.03678i | 0.200589 | − | 0.200589i | ||||
\(406\) | −32.0247 | + | 1.75195i | −1.58936 | + | 0.0869478i | ||||
\(407\) | − | 0.0739237i | − | 0.00366426i | ||||||
\(408\) | 1.73528 | − | 0.466899i | 0.0859093 | − | 0.0231150i | ||||
\(409\) | −15.0860 | − | 8.70990i | −0.745954 | − | 0.430677i | 0.0782763 | − | 0.996932i | \(-0.475058\pi\) |
−0.824230 | + | 0.566255i | \(0.808392\pi\) | |||||||
\(410\) | −2.65165 | − | 0.231064i | −0.130956 | − | 0.0114115i | ||||
\(411\) | −15.4162 | − | 4.13077i | −0.760427 | − | 0.203756i | ||||
\(412\) | 11.7856 | − | 14.0653i | 0.580634 | − | 0.692947i | ||||
\(413\) | −6.44988 | + | 8.59402i | −0.317378 | + | 0.422884i | ||||
\(414\) | 4.59482 | + | 1.67058i | 0.225823 | + | 0.0821045i | ||||
\(415\) | −1.31551 | − | 2.27852i | −0.0645757 | − | 0.111848i | ||||
\(416\) | −1.24447 | − | 13.9463i | −0.0610151 | − | 0.683774i | ||||
\(417\) | 1.74606 | − | 3.02427i | 0.0855052 | − | 0.148099i | ||||
\(418\) | −0.00654583 | − | 0.0370483i | −0.000320167 | − | 0.00181209i | ||||
\(419\) | −0.876622 | − | 0.876622i | −0.0428258 | − | 0.0428258i | 0.685370 | − | 0.728195i | \(-0.259641\pi\) |
−0.728195 | + | 0.685370i | \(0.759641\pi\) | |||||||
\(420\) | 6.58464 | + | 4.09043i | 0.321298 | + | 0.199592i | ||||
\(421\) | 2.89554 | − | 2.89554i | 0.141120 | − | 0.141120i | −0.633018 | − | 0.774137i | \(-0.718184\pi\) |
0.774137 | + | 0.633018i | \(0.218184\pi\) | |||||||
\(422\) | 6.85244 | − | 9.79351i | 0.333571 | − | 0.476740i | ||||
\(423\) | −1.69202 | − | 0.976886i | −0.0822686 | − | 0.0474978i | ||||
\(424\) | −6.75710 | + | 6.77115i | −0.328154 | + | 0.328836i | ||||
\(425\) | −0.375590 | + | 0.216847i | −0.0182188 | + | 0.0105186i | ||||
\(426\) | −23.2044 | + | 10.8302i | −1.12426 | + | 0.524723i | ||||
\(427\) | 14.1727 | − | 6.04853i | 0.685865 | − | 0.292709i | ||||
\(428\) | −33.8424 | + | 2.98443i | −1.63583 | + | 0.144258i | ||||
\(429\) | −0.00998733 | + | 0.0372732i | −0.000482193 | + | 0.00179957i | ||||
\(430\) | 8.07462 | + | 9.61620i | 0.389393 | + | 0.463734i | ||||
\(431\) | −18.7074 | + | 32.4022i | −0.901106 | + | 1.56076i | −0.0750447 | + | 0.997180i | \(0.523910\pi\) |
−0.826061 | + | 0.563581i | \(0.809423\pi\) | |||||||
\(432\) | 1.93711 | − | 22.5000i | 0.0931991 | − | 1.08253i | ||||
\(433\) | 30.5986 | 1.47047 | 0.735237 | − | 0.677810i | \(-0.237071\pi\) | ||||
0.735237 | + | 0.677810i | \(0.237071\pi\) | |||||||
\(434\) | −3.45989 | − | 10.5660i | −0.166080 | − | 0.507184i | ||||
\(435\) | 8.87920 | + | 8.87920i | 0.425725 | + | 0.425725i | ||||
\(436\) | −15.9460 | + | 11.1820i | −0.763674 | + | 0.535518i | ||||
\(437\) | 2.61922 | + | 9.77505i | 0.125294 | + | 0.467604i | ||||
\(438\) | −0.250670 | + | 2.87663i | −0.0119775 | + | 0.137451i | ||||
\(439\) | 30.8780 | − | 17.8274i | 1.47373 | − | 0.850857i | 0.474165 | − | 0.880436i | \(-0.342750\pi\) |
0.999562 | + | 0.0295785i | \(0.00941652\pi\) | |||||||
\(440\) | −0.0260521 | + | 0.0150773i | −0.00124199 | + | 0.000718782i | ||||
\(441\) | −1.67003 | − | 5.73971i | −0.0795254 | − | 0.273319i | ||||
\(442\) | 0.642060 | + | 1.37566i | 0.0305397 | + | 0.0654334i | ||||
\(443\) | −12.8599 | − | 3.44580i | −0.610993 | − | 0.163715i | −0.0599630 | − | 0.998201i | \(-0.519098\pi\) |
−0.551030 | + | 0.834486i | \(0.685765\pi\) | |||||||
\(444\) | 19.1197 | − | 6.97399i | 0.907380 | − | 0.330971i | ||||
\(445\) | 7.83939 | − | 2.10056i | 0.371623 | − | 0.0995760i | ||||
\(446\) | 0.141763 | + | 0.802354i | 0.00671268 | + | 0.0379926i | ||||
\(447\) | 0.216139 | 0.0102230 | ||||||||
\(448\) | 20.9480 | − | 3.03003i | 0.989700 | − | 0.143155i | ||||
\(449\) | 1.34993 | 0.0637072 | 0.0318536 | − | 0.999493i | \(-0.489859\pi\) | ||||
0.0318536 | + | 0.999493i | \(0.489859\pi\) | |||||||
\(450\) | 0.210124 | + | 1.18926i | 0.00990533 | + | 0.0560624i | ||||
\(451\) | 0.0193471 | − | 0.00518404i | 0.000911019 | − | 0.000244107i | ||||
\(452\) | 4.06040 | − | 1.48105i | 0.190985 | − | 0.0696627i | ||||
\(453\) | −25.4199 | − | 6.81124i | −1.19433 | − | 0.320020i | ||||
\(454\) | −7.10139 | − | 15.2152i | −0.333285 | − | 0.714086i | ||||
\(455\) | −2.44137 | + | 6.07662i | −0.114453 | + | 0.284876i | ||||
\(456\) | 8.96466 | − | 5.18817i | 0.419809 | − | 0.242958i | ||||
\(457\) | −27.5916 | + | 15.9300i | −1.29068 | + | 0.745175i | −0.978775 | − | 0.204937i | \(-0.934301\pi\) |
−0.311906 | + | 0.950113i | \(0.600968\pi\) | |||||||
\(458\) | −3.36892 | + | 38.6610i | −0.157419 | + | 1.80651i | ||||
\(459\) | 0.633733 | + | 2.36512i | 0.0295801 | + | 0.110394i | ||||
\(460\) | 6.62917 | − | 4.64864i | 0.309086 | − | 0.216744i | ||||
\(461\) | −23.6227 | − | 23.6227i | −1.10022 | − | 1.10022i | −0.994383 | − | 0.105837i | \(-0.966248\pi\) |
−0.105837 | − | 0.994383i | \(-0.533752\pi\) | |||||||
\(462\) | −0.0570855 | − | 0.0119972i | −0.00265586 | − | 0.000558161i | ||||
\(463\) | −25.0510 | −1.16422 | −0.582110 | − | 0.813110i | \(-0.697773\pi\) | ||||
−0.582110 | + | 0.813110i | \(0.697773\pi\) | |||||||
\(464\) | 34.1607 | + | 2.94102i | 1.58587 | + | 0.136533i | ||||
\(465\) | −2.17647 | + | 3.76976i | −0.100932 | + | 0.174819i | ||||
\(466\) | 0.444618 | + | 0.529503i | 0.0205965 | + | 0.0245287i | ||||
\(467\) | 5.43025 | − | 20.2660i | 0.251282 | − | 0.937797i | −0.718839 | − | 0.695176i | \(-0.755326\pi\) |
0.970121 | − | 0.242621i | \(-0.0780070\pi\) | |||||||
\(468\) | 4.21107 | − | 0.371359i | 0.194657 | − | 0.0171661i | ||||
\(469\) | 11.6098 | + | 8.71327i | 0.536092 | + | 0.402341i | ||||
\(470\) | −2.93195 | + | 1.36842i | −0.135241 | + | 0.0631207i | ||||
\(471\) | −20.5782 | + | 11.8808i | −0.948194 | + | 0.547440i | ||||
\(472\) | 8.11413 | − | 8.13100i | 0.373483 | − | 0.374259i | ||||
\(473\) | −0.0818313 | − | 0.0472453i | −0.00376261 | − | 0.00217234i | ||||
\(474\) | 19.1101 | − | 27.3121i | 0.877754 | − | 1.25449i | ||||
\(475\) | −1.76760 | + | 1.76760i | −0.0811032 | + | 0.0811032i | ||||
\(476\) | −2.02342 | + | 1.08273i | −0.0927434 | + | 0.0496268i | ||||
\(477\) | −2.04223 | − | 2.04223i | −0.0935074 | − | 0.0935074i | ||||
\(478\) | −2.27645 | − | 12.8843i | −0.104123 | − | 0.589315i | ||||
\(479\) | −6.06390 | + | 10.5030i | −0.277067 | + | 0.479894i | −0.970654 | − | 0.240478i | \(-0.922696\pi\) |
0.693588 | + | 0.720372i | \(0.256029\pi\) | |||||||
\(480\) | −6.35737 | − | 5.31574i | −0.290173 | − | 0.242629i | ||||
\(481\) | 8.59671 | + | 14.8899i | 0.391976 | + | 0.678923i | ||||
\(482\) | −15.2245 | − | 5.53530i | −0.693458 | − | 0.252126i | ||||
\(483\) | 15.5775 | + | 1.88191i | 0.708799 | + | 0.0856300i | ||||
\(484\) | −14.1295 | + | 16.8626i | −0.642251 | + | 0.766481i | ||||
\(485\) | 6.95810 | + | 1.86442i | 0.315951 | + | 0.0846589i | ||||
\(486\) | 12.0801 | + | 1.05266i | 0.547965 | + | 0.0477496i | ||||
\(487\) | −2.40368 | − | 1.38776i | −0.108921 | − | 0.0628856i | 0.444550 | − | 0.895754i | \(-0.353364\pi\) |
−0.553471 | + | 0.832869i | \(0.686697\pi\) | |||||||
\(488\) | −15.9076 | + | 4.28014i | −0.720104 | + | 0.193753i | ||||
\(489\) | 20.8609i | 0.943360i | ||||||||
\(490\) | −9.37373 | − | 3.18327i | −0.423462 | − | 0.143805i | ||||
\(491\) | 4.10241 | − | 4.10241i | 0.185139 | − | 0.185139i | −0.608452 | − | 0.793591i | \(-0.708209\pi\) |
0.793591 | + | 0.608452i | \(0.208209\pi\) | |||||||
\(492\) | 3.16601 | + | 4.51488i | 0.142735 | + | 0.203547i | ||||
\(493\) | −3.59085 | + | 0.962166i | −0.161724 | + | 0.0433338i | ||||
\(494\) | 5.62689 | + | 6.70115i | 0.253166 | + | 0.301499i | ||||
\(495\) | −0.00454398 | − | 0.00787040i | −0.000204237 | − | 0.000353748i | ||||
\(496\) | 2.08014 | + | 11.7023i | 0.0934008 | + | 0.525447i | ||||
\(497\) | 25.7306 | − | 20.1837i | 1.15418 | − | 0.905364i | ||||
\(498\) | −1.86250 | + | 5.12268i | −0.0834604 | + | 0.229553i | ||||
\(499\) | −4.25522 | + | 15.8807i | −0.190490 | + | 0.710918i | 0.802899 | + | 0.596116i | \(0.203290\pi\) |
−0.993388 | + | 0.114802i | \(0.963377\pi\) | |||||||
\(500\) | 1.81320 | + | 0.843981i | 0.0810888 | + | 0.0377440i | ||||
\(501\) | −3.99032 | − | 14.8921i | −0.178274 | − | 0.665329i | ||||
\(502\) | 18.4428 | + | 12.9043i | 0.823142 | + | 0.575945i | ||||
\(503\) | 13.2964i | 0.592855i | 0.955055 | + | 0.296428i | \(0.0957954\pi\) | ||||
−0.955055 | + | 0.296428i | \(0.904205\pi\) | |||||||
\(504\) | 0.908261 | + | 6.32559i | 0.0404572 | + | 0.281764i | ||||
\(505\) | − | 18.8118i | − | 0.837112i | ||||||
\(506\) | −0.0349297 | + | 0.0499215i | −0.00155281 | + | 0.00221928i | ||||
\(507\) | 2.60611 | + | 9.72613i | 0.115741 | + | 0.431952i | ||||
\(508\) | 20.0852 | − | 7.32615i | 0.891135 | − | 0.325045i | ||||
\(509\) | 7.19297 | − | 26.8445i | 0.318823 | − | 1.18986i | −0.601555 | − | 0.798832i | \(-0.705452\pi\) |
0.920377 | − | 0.391031i | \(-0.127882\pi\) | |||||||
\(510\) | 0.844419 | + | 0.307012i | 0.0373915 | + | 0.0135947i | ||||
\(511\) | −0.520317 | − | 3.65070i | −0.0230175 | − | 0.161497i | ||||
\(512\) | −22.6273 | + | 0.0704910i | −0.999995 | + | 0.00311529i | ||||
\(513\) | 7.05661 | + | 12.2224i | 0.311557 | + | 0.539633i | ||||
\(514\) | −32.0387 | + | 26.9026i | −1.41317 | + | 1.18662i | ||||
\(515\) | 8.86250 | − | 2.37470i | 0.390528 | − | 0.104642i | ||||
\(516\) | 4.49957 | − | 25.6220i | 0.198083 | − | 1.12795i | ||||
\(517\) | 0.0172166 | − | 0.0172166i | 0.000757187 | − | 0.000757187i | ||||
\(518\) | −21.7652 | + | 14.2055i | −0.956309 | + | 0.624155i | ||||
\(519\) | − | 14.1767i | − | 0.622290i | ||||||
\(520\) | 3.49413 | − | 6.06656i | 0.153228 | − | 0.266036i | ||||
\(521\) | −17.4494 | − | 10.0744i | −0.764471 | − | 0.441367i | 0.0664279 | − | 0.997791i | \(-0.478840\pi\) |
−0.830899 | + | 0.556424i | \(0.812173\pi\) | |||||||
\(522\) | −0.898664 | + | 10.3129i | −0.0393335 | + | 0.451383i | ||||
\(523\) | 1.87682 | + | 0.502892i | 0.0820676 | + | 0.0219899i | 0.299619 | − | 0.954059i | \(-0.403140\pi\) |
−0.217552 | + | 0.976049i | \(0.569807\pi\) | |||||||
\(524\) | −2.92287 | − | 33.1443i | −0.127686 | − | 1.44791i | ||||
\(525\) | 1.52136 | + | 3.56479i | 0.0663975 | + | 0.155580i | ||||
\(526\) | 5.75162 | − | 15.8195i | 0.250782 | − | 0.689762i | ||||
\(527\) | −0.644345 | − | 1.11604i | −0.0280681 | − | 0.0486154i | ||||
\(528\) | 0.0586288 | + | 0.0212473i | 0.00255149 | + | 0.000924668i | ||||
\(529\) | −3.30554 | + | 5.72537i | −0.143719 | + | 0.248929i | ||||
\(530\) | −4.71001 | + | 0.832183i | −0.204590 | + | 0.0361477i | ||||
\(531\) | 2.45237 | + | 2.45237i | 0.106424 | + | 0.106424i | ||||
\(532\) | −9.65018 | + | 9.04665i | −0.418388 | + | 0.392222i | ||||
\(533\) | −3.29409 | + | 3.29409i | −0.142683 | + | 0.142683i | ||||
\(534\) | −13.7766 | − | 9.63937i | −0.596171 | − | 0.417136i | ||||
\(535\) | −14.7110 | − | 8.49343i | −0.636014 | − | 0.367203i | ||||
\(536\) | −10.9843 | − | 10.9615i | −0.474450 | − | 0.473466i | ||||
\(537\) | 1.77808 | − | 1.02657i | 0.0767298 | − | 0.0442999i | ||||
\(538\) | −16.2725 | − | 34.8650i | −0.701557 | − | 1.50314i | ||||
\(539\) | 0.0744779 | − | 0.00158995i | 0.00320799 | − | 6.84838e-5i | ||||
\(540\) | 7.25212 | − | 8.65490i | 0.312082 | − | 0.372448i | ||||
\(541\) | −2.53145 | + | 9.44749i | −0.108835 | + | 0.406179i | −0.998752 | − | 0.0499440i | \(-0.984096\pi\) |
0.889917 | + | 0.456123i | \(0.150762\pi\) | |||||||
\(542\) | 28.0973 | − | 23.5930i | 1.20688 | − | 1.01341i | ||||
\(543\) | −6.81870 | + | 11.8103i | −0.292618 | + | 0.506830i | ||||
\(544\) | 2.30394 | − | 0.843082i | 0.0987804 | − | 0.0361469i | ||||
\(545\) | −9.73794 | −0.417128 | ||||||||
\(546\) | 12.8935 | − | 4.22205i | 0.551791 | − | 0.180687i | ||||
\(547\) | −14.0592 | − | 14.0592i | −0.601127 | − | 0.601127i | 0.339484 | − | 0.940612i | \(-0.389747\pi\) |
−0.940612 | + | 0.339484i | \(0.889747\pi\) | |||||||
\(548\) | −21.4610 | − | 3.76884i | −0.916770 | − | 0.160997i | ||||
\(549\) | −1.28728 | − | 4.80418i | −0.0549396 | − | 0.205037i | ||||
\(550\) | −0.0149934 | − | 0.00130652i | −0.000639321 | − | 5.57104e-5i | ||||
\(551\) | −18.5567 | + | 10.7137i | −0.790542 | + | 0.456419i | ||||
\(552\) | −16.2070 | − | 4.32463i | −0.689817 | − | 0.184068i | ||||
\(553\) | −15.8701 | + | 39.5009i | −0.674864 | + | 1.67975i | ||||
\(554\) | 3.39797 | − | 1.58593i | 0.144366 | − | 0.0673797i | ||||
\(555\) | 9.82920 | + | 2.63373i | 0.417226 | + | 0.111795i | ||||
\(556\) | 2.01189 | − | 4.32232i | 0.0853232 | − | 0.183307i | ||||
\(557\) | −21.7933 | + | 5.83949i | −0.923411 | + | 0.247427i | −0.689043 | − | 0.724721i | \(-0.741969\pi\) |
−0.234368 | + | 0.972148i | \(0.575302\pi\) | |||||||
\(558\) | −3.53381 | + | 0.624367i | −0.149598 | + | 0.0264316i | ||||
\(559\) | 21.9769 | 0.929525 | ||||||||
\(560\) | 9.44547 | + | 4.77315i | 0.399144 | + | 0.201703i | ||||
\(561\) | −0.00676131 | −0.000285463 | ||||||||
\(562\) | −36.6146 | + | 6.46921i | −1.54449 | + | 0.272887i | ||||
\(563\) | −22.8543 | + | 6.12378i | −0.963192 | + | 0.258087i | −0.705951 | − | 0.708261i | \(-0.749480\pi\) |
−0.257241 | + | 0.966347i | \(0.582813\pi\) | |||||||
\(564\) | 6.07715 | + | 2.82870i | 0.255894 | + | 0.119110i | ||||
\(565\) | 2.08741 | + | 0.559319i | 0.0878178 | + | 0.0235307i | ||||
\(566\) | −36.3995 | + | 16.9887i | −1.52998 | + | 0.714088i | ||||
\(567\) | 14.9531 | − | 2.13120i | 0.627972 | − | 0.0895020i | ||||
\(568\) | −30.2584 | + | 17.5116i | −1.26961 | + | 0.734771i | ||||
\(569\) | −10.2073 | + | 5.89319i | −0.427913 | + | 0.247056i | −0.698457 | − | 0.715652i | \(-0.746130\pi\) |
0.270544 | + | 0.962708i | \(0.412796\pi\) | |||||||
\(570\) | 5.15930 | + | 0.449581i | 0.216099 | + | 0.0188309i | ||||
\(571\) | 4.72497 | + | 17.6338i | 0.197734 | + | 0.737953i | 0.991542 | + | 0.129785i | \(0.0414287\pi\) |
−0.793808 | + | 0.608168i | \(0.791905\pi\) | |||||||
\(572\) | −0.00911226 | + | 0.0518882i | −0.000381003 | + | 0.00216956i | ||||
\(573\) | 12.8988 | + | 12.8988i | 0.538855 | + | 0.538855i | ||||
\(574\) | −5.24415 | − | 4.70014i | −0.218887 | − | 0.196180i | ||||
\(575\) | 4.04832 | 0.168827 | ||||||||
\(576\) | −0.0141885 | − | 6.83168i | −0.000591187 | − | 0.284653i | ||||
\(577\) | 17.0445 | − | 29.5220i | 0.709574 | − | 1.22902i | −0.255442 | − | 0.966824i | \(-0.582221\pi\) |
0.965015 | − | 0.262193i | \(-0.0844457\pi\) | |||||||
\(578\) | 18.2079 | − | 15.2890i | 0.757349 | − | 0.635938i | ||||
\(579\) | −5.07953 | + | 18.9571i | −0.211098 | + | 0.787829i | ||||
\(580\) | 13.1403 | + | 11.0105i | 0.545622 | + | 0.457188i | ||||
\(581\) | 0.834889 | − | 6.91076i | 0.0346370 | − | 0.286707i | ||||
\(582\) | −6.31177 | − | 13.5234i | −0.261631 | − | 0.560564i | ||||
\(583\) | 0.0311703 | − | 0.0179962i | 0.00129094 | − | 0.000745325i | ||||
\(584\) | 0.00409371 | + | 3.94220i | 0.000169399 | + | 0.163129i | ||||
\(585\) | 1.83052 | + | 1.05685i | 0.0756829 | + | 0.0436955i | ||||
\(586\) | −6.64179 | − | 4.64721i | −0.274370 | − | 0.191974i | ||||
\(587\) | −12.8514 | + | 12.8514i | −0.530432 | + | 0.530432i | −0.920701 | − | 0.390269i | \(-0.872382\pi\) |
0.390269 | + | 0.920701i | \(0.372382\pi\) | |||||||
\(588\) | 7.43749 | + | 19.1130i | 0.306717 | + | 0.788207i | ||||
\(589\) | −5.25230 | − | 5.25230i | −0.216417 | − | 0.216417i | ||||
\(590\) | 5.65592 | − | 0.999310i | 0.232850 | − | 0.0411409i | ||||
\(591\) | 10.2362 | − | 17.7297i | 0.421062 | − | 0.729300i | ||||
\(592\) | 25.1658 | − | 11.7774i | 1.03431 | − | 0.484050i | ||||
\(593\) | −4.43828 | − | 7.68732i | −0.182258 | − | 0.315680i | 0.760391 | − | 0.649466i | \(-0.225007\pi\) |
−0.942649 | + | 0.333785i | \(0.891674\pi\) | |||||||
\(594\) | −0.0290340 | + | 0.0798564i | −0.00119128 | + | 0.00327655i | ||||
\(595\) | −1.13916 | − | 0.137622i | −0.0467012 | − | 0.00564197i | ||||
\(596\) | 0.293943 | − | 0.0259217i | 0.0120404 | − | 0.00106179i | ||||
\(597\) | 14.6425 | + | 3.92345i | 0.599278 | + | 0.160576i | ||||
\(598\) | 1.23019 | − | 14.1174i | 0.0503061 | − | 0.577302i | ||||
\(599\) | 15.1682 | + | 8.75738i | 0.619757 | + | 0.357817i | 0.776774 | − | 0.629779i | \(-0.216855\pi\) |
−0.157017 | + | 0.987596i | \(0.550188\pi\) | |||||||
\(600\) | −1.07656 | − | 4.00116i | −0.0439505 | − | 0.163347i | ||||
\(601\) | − | 32.9970i | − | 1.34597i | −0.739654 | − | 0.672987i | \(-0.765011\pi\) | ||
0.739654 | − | 0.672987i | \(-0.234989\pi\) | |||||||
\(602\) | 1.81473 | + | 33.1723i | 0.0739629 | + | 1.35200i | ||||
\(603\) | 3.31296 | − | 3.31296i | 0.134914 | − | 0.134914i | ||||
\(604\) | −35.3872 | − | 6.21445i | −1.43988 | − | 0.252863i | ||||
\(605\) | −10.6251 | + | 2.84698i | −0.431971 | + | 0.115746i | ||||
\(606\) | −29.8463 | + | 25.0617i | −1.21242 | + | 1.01806i | ||||
\(607\) | −18.5141 | − | 32.0674i | −0.751464 | − | 1.30157i | −0.947113 | − | 0.320900i | \(-0.896015\pi\) |
0.195649 | − | 0.980674i | \(-0.437319\pi\) | |||||||
\(608\) | 11.5694 | − | 8.13089i | 0.469203 | − | 0.329751i | ||||
\(609\) | 4.68774 | + | 32.8905i | 0.189957 | + | 1.33279i | ||||
\(610\) | −7.74092 | − | 2.81443i | −0.313421 | − | 0.113953i | ||||
\(611\) | −1.46568 | + | 5.46998i | −0.0592949 | + | 0.221292i | ||||
\(612\) | 0.253822 | + | 0.695870i | 0.0102601 | + | 0.0281289i | ||||
\(613\) | −4.84447 | − | 18.0798i | −0.195666 | − | 0.730236i | −0.992093 | − | 0.125502i | \(-0.959946\pi\) |
0.796427 | − | 0.604734i | \(-0.206721\pi\) | |||||||
\(614\) | −12.8028 | + | 18.2978i | −0.516679 | + | 0.738438i | ||||
\(615\) | 2.75716i | 0.111180i | ||||||||
\(616\) | −0.0790733 | − | 0.00946955i | −0.00318595 | − | 0.000381539i | ||||
\(617\) | 5.94910i | 0.239502i | 0.992804 | + | 0.119751i | \(0.0382096\pi\) | ||||
−0.992804 | + | 0.119751i | \(0.961790\pi\) | |||||||
\(618\) | −15.5746 | − | 10.8974i | −0.626501 | − | 0.438358i | ||||
\(619\) | 4.63091 | + | 17.2828i | 0.186132 | + | 0.694654i | 0.994385 | + | 0.105819i | \(0.0337466\pi\) |
−0.808253 | + | 0.588835i | \(0.799587\pi\) | |||||||
\(620\) | −2.50783 | + | 5.38779i | −0.100717 | + | 0.216379i | ||||
\(621\) | 5.91558 | − | 22.0773i | 0.237384 | − | 0.885930i | ||||
\(622\) | 10.9713 | − | 30.1760i | 0.439910 | − | 1.20995i | ||||
\(623\) | 19.9248 | + | 8.00507i | 0.798270 | + | 0.320717i | ||||
\(624\) | −14.2801 | + | 2.53835i | −0.571660 | + | 0.101615i | ||||
\(625\) | 0.500000 | + | 0.866025i | 0.0200000 | + | 0.0346410i | ||||
\(626\) | −11.0559 | − | 13.1666i | −0.441882 | − | 0.526244i | ||||
\(627\) | −0.0376436 | + | 0.0100866i | −0.00150334 | + | 0.000402818i | ||||
\(628\) | −26.5609 | + | 18.6255i | −1.05989 | + | 0.743239i | ||||
\(629\) | −2.13022 | + | 2.13022i | −0.0849374 | + | 0.0849374i | ||||
\(630\) | −1.44408 | + | 2.85029i | −0.0575334 | + | 0.113558i | ||||
\(631\) | 9.09942i | 0.362242i | 0.983461 | + | 0.181121i | \(0.0579726\pi\) | ||||
−0.983461 | + | 0.181121i | \(0.942027\pi\) | |||||||
\(632\) | 22.7135 | − | 39.4355i | 0.903496 | − | 1.56866i | ||||
\(633\) | −10.7227 | − | 6.19074i | −0.426188 | − | 0.246060i | ||||
\(634\) | 40.9833 | + | 3.57128i | 1.62765 | + | 0.141834i | ||||
\(635\) | 10.3255 | + | 2.76672i | 0.409757 | + | 0.109794i | ||||
\(636\) | 7.59516 | + | 6.36414i | 0.301167 | + | 0.252354i | ||||
\(637\) | −14.8167 | + | 8.98140i | −0.587057 | + | 0.355856i | ||||
\(638\) | −0.121242 | − | 0.0440810i | −0.00480002 | − | 0.00174518i | ||||
\(639\) | −5.27763 | − | 9.14113i | −0.208780 | − | 0.361617i | ||||
\(640\) | −9.28334 | − | 6.46680i | −0.366956 | − | 0.255623i | ||||
\(641\) | −2.82198 | + | 4.88781i | −0.111461 | + | 0.193057i | −0.916360 | − | 0.400356i | \(-0.868886\pi\) |
0.804898 | + | 0.593413i | \(0.202220\pi\) | |||||||
\(642\) | 6.12306 | + | 34.6555i | 0.241658 | + | 1.36774i | ||||
\(643\) | 12.8716 | + | 12.8716i | 0.507607 | + | 0.507607i | 0.913791 | − | 0.406184i | \(-0.133141\pi\) |
−0.406184 | + | 0.913791i | \(0.633141\pi\) | |||||||
\(644\) | 21.4106 | + | 0.691129i | 0.843694 | + | 0.0272343i | ||||
\(645\) | 9.19738 | − | 9.19738i | 0.362147 | − | 0.362147i | ||||
\(646\) | −0.878973 | + | 1.25623i | −0.0345827 | + | 0.0494256i | ||||
\(647\) | −4.15738 | − | 2.40027i | −0.163444 | − | 0.0943642i | 0.416047 | − | 0.909343i | \(-0.363415\pi\) |
−0.579491 | + | 0.814979i | \(0.696748\pi\) | |||||||
\(648\) | −16.1471 | + | 0.0167677i | −0.634318 | + | 0.000658697i | ||||
\(649\) | −0.0374302 | + | 0.0216103i | −0.00146926 | + | 0.000848279i | ||||
\(650\) | 3.17196 | − | 1.48044i | 0.124414 | − | 0.0580678i | ||||
\(651\) | −10.5925 | + | 4.52060i | −0.415153 | + | 0.177176i | ||||
\(652\) | 2.50186 | + | 28.3701i | 0.0979802 | + | 1.11106i | ||||
\(653\) | 11.0742 | − | 41.3297i | 0.433369 | − | 1.61735i | −0.311571 | − | 0.950223i | \(-0.600855\pi\) |
0.744940 | − | 0.667132i | \(-0.232478\pi\) | |||||||
\(654\) | 12.9732 | + | 15.4500i | 0.507293 | + | 0.604143i | ||||
\(655\) | 8.31822 | − | 14.4076i | 0.325020 | − | 0.562951i | ||||
\(656\) | 4.84715 | + | 5.76040i | 0.189250 | + | 0.224906i | ||||
\(657\) | −1.19023 | −0.0464354 | ||||||||
\(658\) | −8.37750 | − | 1.76063i | −0.326589 | − | 0.0686367i | ||||
\(659\) | 17.3420 | + | 17.3420i | 0.675549 | + | 0.675549i | 0.958990 | − | 0.283441i | \(-0.0914759\pi\) |
−0.283441 | + | 0.958990i | \(0.591476\pi\) | |||||||
\(660\) | 0.0179018 | + | 0.0255288i | 0.000696827 | + | 0.000993708i | ||||
\(661\) | −8.44361 | − | 31.5120i | −0.328418 | − | 1.22567i | −0.910831 | − | 0.412780i | \(-0.864558\pi\) |
0.582412 | − | 0.812894i | \(-0.302109\pi\) | |||||||
\(662\) | 2.62507 | − | 30.1248i | 0.102026 | − | 1.17083i | ||||
\(663\) | 1.36188 | − | 0.786283i | 0.0528911 | − | 0.0305367i | ||||
\(664\) | −1.91857 | + | 7.19006i | −0.0744549 | + | 0.279028i | ||||
\(665\) | −6.54760 | + | 0.933200i | −0.253905 | + | 0.0361880i | ||||
\(666\) | 3.54797 | + | 7.60177i | 0.137481 | + | 0.294563i | ||||
\(667\) | 33.5188 | + | 8.98134i | 1.29785 | + | 0.347759i | ||||
\(668\) | −7.21273 | − | 19.7742i | −0.279069 | − | 0.765087i | ||||
\(669\) | 0.815246 | − | 0.218445i | 0.0315192 | − | 0.00844555i | ||||
\(670\) | −1.34999 | − | 7.64069i | −0.0521545 | − | 0.295186i | ||||
\(671\) | 0.0619820 | 0.00239279 | ||||||||
\(672\) | −5.01059 | − | 21.3449i | −0.193288 | − | 0.823399i | ||||
\(673\) | −32.4201 | −1.24970 | −0.624851 | − | 0.780744i | \(-0.714840\pi\) | ||||
−0.624851 | + | 0.780744i | \(0.714840\pi\) | |||||||
\(674\) | 5.96492 | + | 33.7604i | 0.229760 | + | 1.30040i | ||||
\(675\) | 5.45343 | − | 1.46124i | 0.209903 | − | 0.0562433i | ||||
\(676\) | 4.71069 | + | 12.9147i | 0.181180 | + | 0.496718i | ||||
\(677\) | 37.7026 | + | 10.1024i | 1.44903 | + | 0.388266i | 0.895686 | − | 0.444687i | \(-0.146685\pi\) |
0.553343 | + | 0.832953i | \(0.313352\pi\) | |||||||
\(678\) | −1.89351 | − | 4.05697i | −0.0727197 | − | 0.155807i | ||||
\(679\) | 11.7630 | + | 14.9957i | 0.451422 | + | 0.575482i | ||||
\(680\) | 1.18520 | + | 0.316256i | 0.0454505 | + | 0.0121279i | ||||
\(681\) | −15.0629 | + | 8.69654i | −0.577210 | + | 0.333252i | ||||
\(682\) | 0.00388224 | − | 0.0445518i | 0.000148659 | − | 0.00170598i | ||||
\(683\) | 4.17917 | + | 15.5969i | 0.159911 | + | 0.596798i | 0.998635 | + | 0.0522396i | \(0.0166360\pi\) |
−0.838723 | + | 0.544558i | \(0.816697\pi\) | |||||||
\(684\) | 2.45126 | + | 3.49560i | 0.0937261 | + | 0.133658i | ||||
\(685\) | −7.70373 | − | 7.70373i | −0.294344 | − | 0.294344i | ||||
\(686\) | −14.7801 | − | 21.6228i | −0.564308 | − | 0.825564i | ||||
\(687\) | 40.1994 | 1.53370 | ||||||||
\(688\) | 3.04641 | − | 35.3848i | 0.116143 | − | 1.34903i | ||||
\(689\) | −4.18561 | + | 7.24968i | −0.159459 | + | 0.276191i | ||||
\(690\) | −5.39331 | − | 6.42298i | −0.205320 | − | 0.244519i | ||||
\(691\) | −9.25618 | + | 34.5445i | −0.352122 | + | 1.31414i | 0.531947 | + | 0.846778i | \(0.321461\pi\) |
−0.884068 | + | 0.467358i | \(0.845206\pi\) | |||||||
\(692\) | −1.70023 | − | 19.2799i | −0.0646329 | − | 0.732913i | ||||
\(693\) | 0.00288385 | − | 0.0238709i | 0.000109548 | − | 0.000906781i | ||||
\(694\) | 15.7607 | − | 7.35597i | 0.598268 | − | 0.279229i | ||||
\(695\) | 2.06444 | − | 1.19190i | 0.0783087 | − | 0.0452115i | ||||
\(696\) | −0.0368818 | − | 35.5168i | −0.00139800 | − | 1.34626i | ||||
\(697\) | −0.706900 | − | 0.408129i | −0.0267758 | − | 0.0154590i | ||||
\(698\) | 28.3594 | − | 40.5312i | 1.07342 | − | 1.53413i | ||||
\(699\) | 0.506442 | − | 0.506442i | 0.0191554 | − | 0.0191554i | ||||
\(700\) | 2.49653 | + | 4.66555i | 0.0943598 | + | 0.176341i | ||||
\(701\) | −26.4985 | − | 26.4985i | −1.00083 | − | 1.00083i | −1.00000 | 0.000835295i | \(-0.999734\pi\) | |
−0.000835295 | − | 1.00000i | \(-0.500266\pi\) | |||||||
\(702\) | −3.43850 | − | 19.4613i | −0.129778 | − | 0.734521i | ||||
\(703\) | −8.68212 | + | 15.0379i | −0.327452 | + | 0.567164i | ||||
\(704\) | 0.0822816 | + | 0.0218642i | 0.00310110 | + | 0.000824039i | ||||
\(705\) | 1.67581 | + | 2.90258i | 0.0631146 | + | 0.109318i | ||||
\(706\) | −8.84907 | − | 3.21733i | −0.333039 | − | 0.121086i | ||||
\(707\) | 29.8757 | − | 39.8073i | 1.12359 | − | 1.49711i | ||||
\(708\) | −9.12049 | − | 7.64224i | −0.342769 | − | 0.287213i | ||||
\(709\) | −21.9999 | − | 5.89484i | −0.826222 | − | 0.221385i | −0.179157 | − | 0.983820i | \(-0.557337\pi\) |
−0.647065 | + | 0.762435i | \(0.724004\pi\) | |||||||
\(710\) | −17.4142 | − | 1.51747i | −0.653543 | − | 0.0569496i | ||||
\(711\) | 11.8993 | + | 6.87005i | 0.446258 | + | 0.257647i | ||||
\(712\) | −19.8918 | − | 11.4570i | −0.745477 | − | 0.429370i | ||||
\(713\) | 12.0293i | 0.450500i | ||||||||
\(714\) | 1.29928 | + | 1.99072i | 0.0486245 | + | 0.0745008i | ||||
\(715\) | −0.0186260 | + | 0.0186260i | −0.000696573 | + | 0.000696573i | ||||
\(716\) | 2.29501 | − | 1.60936i | 0.0857687 | − | 0.0601444i | ||||
\(717\) | −13.0913 | + | 3.50782i | −0.488905 | + | 0.131002i | ||||
\(718\) | −11.3774 | − | 13.5495i | −0.424600 | − | 0.505663i | ||||
\(719\) | 16.5543 | + | 28.6729i | 0.617370 | + | 1.06932i | 0.989964 | + | 0.141322i | \(0.0451353\pi\) |
−0.372593 | + | 0.927995i | \(0.621531\pi\) | |||||||
\(720\) | 1.95537 | − | 2.80081i | 0.0728724 | − | 0.104380i | ||||
\(721\) | 22.5252 | + | 9.04981i | 0.838881 | + | 0.337033i | ||||
\(722\) | 6.16173 | − | 16.9475i | 0.229316 | − | 0.630719i | ||||
\(723\) | −4.34313 | + | 16.2088i | −0.161523 | + | 0.602811i | ||||
\(724\) | −7.85680 | + | 16.8795i | −0.291996 | + | 0.627320i | ||||
\(725\) | 2.21853 | + | 8.27968i | 0.0823943 | + | 0.307500i | ||||
\(726\) | 18.6720 | + | 13.0647i | 0.692984 | + | 0.484875i | ||||
\(727\) | − | 29.4460i | − | 1.09209i | −0.837755 | − | 0.546046i | \(-0.816132\pi\) | ||
0.837755 | − | 0.546046i | \(-0.183868\pi\) | |||||||
\(728\) | 17.0284 | − | 7.28818i | 0.631115 | − | 0.270118i | ||||
\(729\) | − | 29.6874i | − | 1.09953i | ||||||
\(730\) | −1.13002 | + | 1.61502i | −0.0418238 | + | 0.0597746i | ||||
\(731\) | 0.996645 | + | 3.71953i | 0.0368623 | + | 0.137572i | ||||
\(732\) | 5.84740 | + | 16.0311i | 0.216126 | + | 0.592525i | ||||
\(733\) | 0.174701 | − | 0.651995i | 0.00645275 | − | 0.0240820i | −0.962624 | − | 0.270840i | \(-0.912699\pi\) |
0.969077 | + | 0.246758i | \(0.0793653\pi\) | |||||||
\(734\) | 41.5297 | + | 15.0993i | 1.53289 | + | 0.557325i | ||||
\(735\) | −2.44206 | + | 9.95953i | −0.0900769 | + | 0.367363i | ||||
\(736\) | −22.5597 | − | 3.93764i | −0.831562 | − | 0.145143i | ||||
\(737\) | 0.0291938 | + | 0.0505651i | 0.00107537 | + | 0.00186259i | ||||
\(738\) | −1.74070 | + | 1.46165i | −0.0640762 | + | 0.0538041i | ||||
\(739\) | −36.8630 | + | 9.87742i | −1.35603 | + | 0.363347i | −0.862356 | − | 0.506302i | \(-0.831012\pi\) |
−0.493672 | + | 0.869648i | \(0.664346\pi\) | |||||||
\(740\) | 13.6833 | + | 2.40296i | 0.503007 | + | 0.0883347i | ||||
\(741\) | 6.40930 | − | 6.40930i | 0.235451 | − | 0.235451i | ||||
\(742\) | −11.2884 | − | 5.71918i | −0.414410 | − | 0.209958i | ||||
\(743\) | 3.43756i | 0.126112i | 0.998010 | + | 0.0630559i | \(0.0200847\pi\) | ||||
−0.998010 | + | 0.0630559i | \(0.979915\pi\) | |||||||
\(744\) | 11.8892 | − | 3.19893i | 0.435878 | − | 0.117278i | ||||
\(745\) | 0.127775 | + | 0.0737708i | 0.00468131 | + | 0.00270275i | ||||
\(746\) | −1.82438 | + | 20.9362i | −0.0667952 | + | 0.766529i | ||||
\(747\) | −2.17023 | − | 0.581511i | −0.0794044 | − | 0.0212764i | ||||
\(748\) | −0.00919517 | 0.000810888i | −0.000336209 | 2.96490e-5i | ||||||
\(749\) | −17.6411 | − | 41.3360i | −0.644591 | − | 1.51038i | ||||
\(750\) | 0.707900 | − | 1.94704i | 0.0258489 | − | 0.0710957i | ||||
\(751\) | −13.6842 | − | 23.7018i | −0.499345 | − | 0.864890i | 0.500655 | − | 0.865647i | \(-0.333092\pi\) |
−1.00000 | 0.000756715i | \(0.999759\pi\) | ||||||||
\(752\) | 8.60399 | + | 3.11811i | 0.313755 | + | 0.113706i | ||||
\(753\) | 11.6582 | − | 20.1925i | 0.424847 | − | 0.735857i | ||||
\(754\) | 29.5472 | − | 5.22051i | 1.07605 | − | 0.190120i | ||||
\(755\) | −12.7027 | − | 12.7027i | −0.462299 | − | 0.462299i | ||||
\(756\) | 29.0913 | − | 6.79714i | 1.05804 | − | 0.247209i | ||||
\(757\) | 2.33107 | − | 2.33107i | 0.0847242 | − | 0.0847242i | −0.663475 | − | 0.748199i | \(-0.730919\pi\) |
0.748199 | + | 0.663475i | \(0.230919\pi\) | |||||||
\(758\) | 17.5560 | + | 12.2838i | 0.637663 | + | 0.446167i | ||||
\(759\) | 0.0546578 | + | 0.0315567i | 0.00198395 | + | 0.00114544i | ||||
\(760\) | 7.07041 | − | 0.00734215i | 0.256471 | − | 0.000266328i | ||||
\(761\) | −10.2919 | + | 5.94203i | −0.373081 | + | 0.215398i | −0.674804 | − | 0.737997i | \(-0.735772\pi\) |
0.301723 | + | 0.953396i | \(0.402438\pi\) | |||||||
\(762\) | −9.36641 | − | 20.0682i | −0.339309 | − | 0.726994i | ||||
\(763\) | −20.6063 | − | 15.4652i | −0.745999 | − | 0.559878i | ||||
\(764\) | 19.0889 | + | 15.9950i | 0.690613 | + | 0.578679i | ||||
\(765\) | −0.0958558 | + | 0.357739i | −0.00346567 | + | 0.0129341i | ||||
\(766\) | 13.4659 | − | 11.3072i | 0.486543 | − | 0.408545i | ||||
\(767\) | 5.02620 | − | 8.70563i | 0.181486 | − | 0.314342i | ||||
\(768\) | 2.10749 | + | 23.3440i | 0.0760476 | + | 0.842356i | ||||
\(769\) | 43.0376 | 1.55198 | 0.775988 | − | 0.630748i | \(-0.217252\pi\) | ||||
0.775988 | + | 0.630748i | \(0.217252\pi\) | |||||||
\(770\) | −0.0296524 | − | 0.0265763i | −0.00106860 | − | 0.000957744i | ||||
\(771\) | 30.6434 | + | 30.6434i | 1.10359 | + | 1.10359i | ||||
\(772\) | −4.63448 | + | 26.3902i | −0.166798 | + | 0.949806i | ||||
\(773\) | 13.8106 | + | 51.5419i | 0.496733 | + | 1.85383i | 0.520101 | + | 0.854105i | \(0.325894\pi\) |
−0.0233686 | + | 0.999727i | \(0.507439\pi\) | |||||||
\(774\) | 10.6825 | + | 0.930868i | 0.383973 | + | 0.0334594i | ||||
\(775\) | −2.57333 | + | 1.48571i | −0.0924367 | + | 0.0533684i | ||||
\(776\) | −10.2057 | − | 17.6345i | −0.366363 | − | 0.633040i | ||||
\(777\) | 16.6167 | + | 21.1833i | 0.596121 | + | 0.759947i | ||||
\(778\) | 12.8974 | − | 6.01961i | 0.462396 | − | 0.215814i | ||||
\(779\) | −4.54452 | − | 1.21770i | −0.162824 | − | 0.0436286i | ||||
\(780\) | −6.57463 | − | 3.06026i | −0.235409 | − | 0.109575i | ||||
\(781\) | 0.127058 | − | 0.0340451i | 0.00454650 | − | 0.00121823i | ||||
\(782\) | 2.44511 | − | 0.432012i | 0.0874370 | − | 0.0154487i | ||||
\(783\) | 48.3945 | 1.72948 | ||||||||
\(784\) | 12.4070 | + | 25.1011i | 0.443107 | + | 0.896469i | ||||
\(785\) | −16.2203 | −0.578926 | ||||||||
\(786\) | −33.9406 | + | 5.99675i | −1.21062 | + | 0.213897i | ||||
\(787\) | −35.3960 | + | 9.48434i | −1.26173 | + | 0.338080i | −0.826858 | − | 0.562411i | \(-0.809874\pi\) |
−0.434875 | + | 0.900491i | \(0.643207\pi\) | |||||||
\(788\) | 11.7946 | − | 25.3394i | 0.420166 | − | 0.902679i | ||||
\(789\) | −16.8422 | − | 4.51286i | −0.599599 | − | 0.160662i | ||||
\(790\) | 20.6192 | − | 9.62359i | 0.733599 | − | 0.342392i | ||||
\(791\) | 3.52885 | + | 4.49865i | 0.125472 | + | 0.159954i | ||||
\(792\) | −0.00662706 | + | 0.0248357i | −0.000235482 | + | 0.000882497i | ||||
\(793\) | −12.4846 | + | 7.20798i | −0.443341 | + | 0.255963i | ||||
\(794\) | 27.0687 | + | 2.35876i | 0.960631 | + | 0.0837093i | ||||
\(795\) | 1.28232 | + | 4.78569i | 0.0454792 | + | 0.169731i | ||||
\(796\) | 20.3839 | + | 3.57968i | 0.722488 | + | 0.126878i | ||||
\(797\) | 22.6024 | + | 22.6024i | 0.800620 | + | 0.800620i | 0.983192 | − | 0.182573i | \(-0.0584425\pi\) |
−0.182573 | + | 0.983192i | \(0.558442\pi\) | |||||||
\(798\) | 10.2035 | + | 9.14504i | 0.361201 | + | 0.323731i | ||||
\(799\) | −0.992246 | −0.0351031 | ||||||||
\(800\) | −1.94396 | − | 5.31235i | −0.0687292 | − | 0.187820i | ||||
\(801\) | 3.46535 | − | 6.00216i | 0.122442 | − | 0.212076i | ||||
\(802\) | 8.26977 | − | 6.94404i | 0.292016 | − | 0.245202i | ||||
\(803\) | 0.00383900 | − | 0.0143273i | 0.000135475 | − | 0.000505601i | ||||
\(804\) | −10.3241 | + | 12.3210i | −0.364101 | + | 0.434530i | ||||
\(805\) | 8.56659 | + | 6.42930i | 0.301933 | + | 0.226603i | ||||
\(806\) | 4.39903 | + | 9.42523i | 0.154949 | + | 0.331990i | ||||
\(807\) | −34.5158 | + | 19.9277i | −1.21501 | + | 0.701489i | ||||
\(808\) | −37.5844 | + | 37.6626i | −1.32222 | + | 1.32496i | ||||
\(809\) | 42.4255 | + | 24.4943i | 1.49160 | + | 0.861175i | 0.999954 | − | 0.00962001i | \(-0.00306219\pi\) |
0.491646 | + | 0.870795i | \(0.336396\pi\) | |||||||
\(810\) | −6.61507 | − | 4.62851i | −0.232430 | − | 0.162629i | ||||
\(811\) | −24.0854 | + | 24.0854i | −0.845752 | + | 0.845752i | −0.989600 | − | 0.143848i | \(-0.954052\pi\) |
0.143848 | + | 0.989600i | \(0.454052\pi\) | |||||||
\(812\) | 10.3198 | + | 44.1679i | 0.362153 | + | 1.54999i | ||||
\(813\) | −26.8736 | − | 26.8736i | −0.942499 | − | 0.942499i | ||||
\(814\) | −0.102949 | + | 0.0181895i | −0.00360837 | + | 0.000637541i | ||||
\(815\) | −7.12005 | + | 12.3323i | −0.249405 | + | 0.431981i | ||||
\(816\) | −1.07720 | − | 2.30175i | −0.0377097 | − | 0.0805772i | ||||
\(817\) | 11.0976 | + | 19.2217i | 0.388257 | + | 0.672481i | ||||
\(818\) | −8.41776 | + | 23.1525i | −0.294320 | + | 0.809509i | ||||
\(819\) | 2.19511 | + | 5.14352i | 0.0767035 | + | 0.179729i | ||||
\(820\) | 0.330668 | + | 3.74966i | 0.0115474 | + | 0.130944i | ||||
\(821\) | 23.5395 | + | 6.30739i | 0.821535 | + | 0.220130i | 0.645017 | − | 0.764168i | \(-0.276850\pi\) |
0.176517 | + | 0.984298i | \(0.443517\pi\) | |||||||
\(822\) | −1.95940 | + | 22.4857i | −0.0683421 | + | 0.784280i | ||||
\(823\) | 13.9728 | + | 8.06718i | 0.487060 | + | 0.281204i | 0.723354 | − | 0.690477i | \(-0.242600\pi\) |
−0.236294 | + | 0.971682i | \(0.575933\pi\) | |||||||
\(824\) | −22.4879 | − | 12.9523i | −0.783402 | − | 0.451213i | ||||
\(825\) | 0.0155900i | 0.000542775i | ||||||||
\(826\) | 13.5554 | + | 6.86776i | 0.471654 | + | 0.238960i | ||||
\(827\) | 15.9905 | − | 15.9905i | 0.556044 | − | 0.556044i | −0.372135 | − | 0.928179i | \(-0.621374\pi\) |
0.928179 | + | 0.372135i | \(0.121374\pi\) | |||||||
\(828\) | 1.19593 | − | 6.81001i | 0.0415614 | − | 0.236664i | ||||
\(829\) | 14.4394 | − | 3.86902i | 0.501500 | − | 0.134377i | 0.000804155 | − | 1.00000i | \(-0.499744\pi\) |
0.500696 | + | 0.865623i | \(0.333077\pi\) | |||||||
\(830\) | −2.84948 | + | 2.39268i | −0.0989069 | + | 0.0830511i | ||||
\(831\) | −1.94217 | − | 3.36394i | −0.0673731 | − | 0.116694i | ||||
\(832\) | −19.1160 | + | 5.16470i | −0.662729 | + | 0.179054i | ||||
\(833\) | −2.19201 | − | 2.10037i | −0.0759485 | − | 0.0727736i | ||||
\(834\) | −4.64137 | − | 1.68750i | −0.160717 | − | 0.0584333i | ||||
\(835\) | 2.72389 | − | 10.1657i | 0.0942640 | − | 0.351798i | ||||
\(836\) | −0.0499844 | + | 0.0182320i | −0.00172875 | + | 0.000630568i | ||||
\(837\) | 4.34197 | + | 16.2045i | 0.150081 | + | 0.560108i | ||||
\(838\) | −1.00512 | + | 1.43652i | −0.0347214 | + | 0.0496238i | ||||
\(839\) | − | 45.8695i | − | 1.58359i | −0.610785 | − | 0.791796i | \(-0.709146\pi\) | ||
0.610785 | − | 0.791796i | \(-0.290854\pi\) | |||||||
\(840\) | 4.07630 | − | 10.1765i | 0.140646 | − | 0.351124i | ||||
\(841\) | 44.4750i | 1.53362i | ||||||||
\(842\) | −4.74492 | − | 3.31998i | −0.163521 | − | 0.114414i | ||||
\(843\) | 9.96849 | + | 37.2029i | 0.343333 | + | 1.28134i | ||||
\(844\) | −15.3250 | − | 7.13323i | −0.527507 | − | 0.245536i | ||||
\(845\) | −1.77899 | + | 6.63928i | −0.0611991 | + | 0.228398i | ||||
\(846\) | −0.944120 | + | 2.59675i | −0.0324595 | + | 0.0892779i | ||||
\(847\) | −27.0050 | − | 10.8496i | −0.927901 | − | 0.372798i | ||||
\(848\) | 11.0924 | + | 7.74414i | 0.380916 | + | 0.265935i | ||||
\(849\) | 20.8048 | + | 36.0349i | 0.714018 | + | 1.23672i | ||||
\(850\) | 0.394408 | + | 0.469706i | 0.0135281 | + | 0.0161108i | ||||
\(851\) | 27.1628 | − | 7.27825i | 0.931129 | − | 0.249495i | ||||
\(852\) | 20.7922 | + | 29.6506i | 0.712328 | + | 1.01581i | ||||
\(853\) | 14.4442 | − | 14.4442i | 0.494561 | − | 0.494561i | −0.415179 | − | 0.909740i | \(-0.636281\pi\) |
0.909740 | + | 0.415179i | \(0.136281\pi\) | |||||||
\(854\) | −11.9107 | − | 18.2492i | −0.407577 | − | 0.624476i | ||||
\(855\) | 2.13471i | 0.0730055i | ||||||||
\(856\) | 12.4834 | + | 46.3960i | 0.426675 | + | 1.58578i | ||||
\(857\) | −19.9097 | − | 11.4949i | −0.680102 | − | 0.392657i | 0.119792 | − | 0.992799i | \(-0.461777\pi\) |
−0.799893 | + | 0.600142i | \(0.795111\pi\) | |||||||
\(858\) | 0.0543658 | + | 0.00473743i | 0.00185602 | + | 0.000161733i | ||||
\(859\) | −20.2828 | − | 5.43475i | −0.692039 | − | 0.185431i | −0.104377 | − | 0.994538i | \(-0.533285\pi\) |
−0.587662 | + | 0.809106i | \(0.699952\pi\) | |||||||
\(860\) | 11.4051 | − | 13.6112i | 0.388911 | − | 0.464138i | ||||
\(861\) | −4.37876 | + | 5.83439i | −0.149228 | + | 0.198836i | ||||
\(862\) | 49.7279 | + | 18.0800i | 1.69374 | + | 0.615806i | ||||
\(863\) | −5.79652 | − | 10.0399i | −0.197316 | − | 0.341761i | 0.750341 | − | 0.661050i | \(-0.229889\pi\) |
−0.947657 | + | 0.319290i | \(0.896556\pi\) | |||||||
\(864\) | −31.8111 | + | 2.83860i | −1.08224 | + | 0.0965711i | ||||
\(865\) | 4.83869 | − | 8.38085i | 0.164520 | − | 0.284958i | ||||
\(866\) | −7.52902 | − | 42.6129i | −0.255847 | − | 1.44805i | ||||
\(867\) | −17.4149 | − | 17.4149i | −0.591441 | − | 0.591441i | ||||
\(868\) | −13.8633 | + | 7.41824i | −0.470552 | + | 0.251792i | ||||
\(869\) | −0.121078 | + | 0.121078i | −0.00410729 | + | 0.00410729i | ||||
\(870\) | 10.1808 | − | 14.5503i | 0.345160 | − | 0.493303i | ||||
\(871\) | −11.7606 | − | 6.78999i | −0.398493 | − | 0.230070i | ||||
\(872\) | 19.4961 | + | 19.4557i | 0.660221 | + | 0.658851i | ||||
\(873\) | 5.32741 | − | 3.07578i | 0.180306 | − | 0.104099i | ||||
\(874\) | 12.9687 | − | 6.05286i | 0.438672 | − | 0.204741i | ||||
\(875\) | −0.317326 | + | 2.62665i | −0.0107276 | + | 0.0887971i | ||||
\(876\) | 4.06781 | − | 0.358725i | 0.137438 | − | 0.0121202i | ||||
\(877\) | −8.84566 | + | 33.0124i | −0.298697 | + | 1.11475i | 0.639540 | + | 0.768757i | \(0.279125\pi\) |
−0.938237 | + | 0.345993i | \(0.887542\pi\) | |||||||
\(878\) | −32.4250 | − | 38.6155i | −1.09429 | − | 1.30321i | ||||
\(879\) | −4.19845 | + | 7.27194i | −0.141610 | + | 0.245276i | ||||
\(880\) | 0.0274076 | + | 0.0325714i | 0.000923910 | + | 0.00109798i | ||||
\(881\) | −16.9705 | −0.571750 | −0.285875 | − | 0.958267i | \(-0.592284\pi\) | ||||
−0.285875 | + | 0.958267i | \(0.592284\pi\) | |||||||
\(882\) | −7.58244 | + | 3.73806i | −0.255314 | + | 0.125867i | ||||
\(883\) | 7.08775 | + | 7.08775i | 0.238522 | + | 0.238522i | 0.816238 | − | 0.577716i | \(-0.196056\pi\) |
−0.577716 | + | 0.816238i | \(0.696056\pi\) | |||||||
\(884\) | 1.75782 | − | 1.23265i | 0.0591218 | − | 0.0414586i | ||||
\(885\) | −1.53985 | − | 5.74680i | −0.0517615 | − | 0.193176i | ||||
\(886\) | −1.63449 | + | 18.7571i | −0.0549119 | + | 0.630158i | ||||
\(887\) | −0.0303857 | + | 0.0175432i | −0.00102025 | + | 0.000589043i | −0.500510 | − | 0.865731i | \(-0.666854\pi\) |
0.499490 | + | 0.866320i | \(0.333521\pi\) | |||||||
\(888\) | −14.4168 | − | 24.9109i | −0.483797 | − | 0.835955i | ||||
\(889\) | 17.4558 | + | 22.2530i | 0.585448 | + | 0.746342i | ||||
\(890\) | −4.85427 | − | 10.4006i | −0.162715 | − | 0.348629i | ||||
\(891\) | 0.0586843 | + | 0.0157244i | 0.00196600 | + | 0.000526787i | ||||
\(892\) | 1.08251 | − | 0.394851i | 0.0362452 | − | 0.0132206i | ||||
\(893\) | −5.52433 | + | 1.48024i | −0.184865 | + | 0.0495343i | ||||
\(894\) | −0.0531827 | − | 0.301005i | −0.00177870 | − | 0.0100671i | ||||
\(895\) | 1.40153 | 0.0468479 | ||||||||
\(896\) | −9.37417 | − | 28.4275i | −0.313169 | − | 0.949697i | ||||
\(897\) | −14.6791 | −0.490122 | ||||||||
\(898\) | −0.332161 | − | 1.87997i | −0.0110844 | − | 0.0627356i | ||||
\(899\) | −24.6025 | + | 6.59221i | −0.820538 | + | 0.219862i | ||||
\(900\) | 1.60452 | − | 0.585255i | 0.0534839 | − | 0.0195085i | ||||
\(901\) | −1.41680 | − | 0.379631i | −0.0472005 | − | 0.0126473i | ||||
\(902\) | −0.0119800 | − | 0.0256680i | −0.000398891 | − | 0.000854652i | ||||
\(903\) | 34.0692 | − | 4.85573i | 1.13375 | − | 0.161588i | ||||
\(904\) | −3.06167 | − | 5.29027i | −0.101830 | − | 0.175952i | ||||
\(905\) | −8.06201 | + | 4.65460i | −0.267990 | + | 0.154724i | ||||
\(906\) | −3.23087 | + | 37.0768i | −0.107338 | + | 1.23179i | ||||
\(907\) | −11.7280 | − | 43.7693i | −0.389421 | − | 1.45334i | −0.831079 | − | 0.556154i | \(-0.812276\pi\) |
0.441659 | − | 0.897183i | \(-0.354390\pi\) | |||||||
\(908\) | −19.4420 | + | 13.6335i | −0.645207 | + | 0.452445i | ||||
\(909\) | −11.3593 | − | 11.3593i | −0.376765 | − | 0.376765i | ||||
\(910\) | 9.06328 | + | 1.90476i | 0.300445 | + | 0.0631422i | ||||
\(911\) | 54.9073 | 1.81916 | 0.909581 | − | 0.415528i | \(-0.136403\pi\) | ||||
0.909581 | + | 0.415528i | \(0.136403\pi\) | |||||||
\(912\) | −9.43109 | − | 11.2080i | −0.312295 | − | 0.371133i | ||||
\(913\) | 0.0139998 | − | 0.0242483i | 0.000463325 | − | 0.000802502i | ||||
\(914\) | 28.9740 | + | 34.5056i | 0.958374 | + | 1.14134i | ||||
\(915\) | −2.20827 | + | 8.24138i | −0.0730032 | + | 0.272452i | ||||
\(916\) | 54.6700 | − | 4.82114i | 1.80635 | − | 0.159295i | ||||
\(917\) | 40.4833 | − | 17.2772i | 1.33688 | − | 0.570543i | ||||
\(918\) | 3.13784 | − | 1.46452i | 0.103564 | − | 0.0483364i | ||||
\(919\) | 20.2863 | − | 11.7123i | 0.669183 | − | 0.386353i | −0.126584 | − | 0.991956i | \(-0.540401\pi\) |
0.795767 | + | 0.605603i | \(0.207068\pi\) | |||||||
\(920\) | −8.10505 | − | 8.08823i | −0.267216 | − | 0.266661i | ||||
\(921\) | 20.0338 | + | 11.5665i | 0.660135 | + | 0.381129i | ||||
\(922\) | −27.0855 | + | 38.7106i | −0.892013 | + | 1.27487i | ||||
\(923\) | −21.6333 | + | 21.6333i | −0.712068 | + | 0.712068i | ||||
\(924\) | −0.00266153 | + | 0.0824517i | −8.75578e−5 | + | 0.00271246i | ||||
\(925\) | 4.91180 | + | 4.91180i | 0.161499 | + | 0.161499i | ||||
\(926\) | 6.16400 | + | 34.8872i | 0.202562 | + | 1.14646i | ||||
\(927\) | 3.91761 | − | 6.78549i | 0.128671 | − | 0.222865i | ||||
\(928\) | −4.30971 | − | 48.2973i | −0.141473 | − | 1.58544i | ||||
\(929\) | −27.6963 | − | 47.9713i | −0.908685 | − | 1.57389i | −0.815893 | − | 0.578203i | \(-0.803754\pi\) |
−0.0927915 | − | 0.995686i | \(-0.529579\pi\) | |||||||
\(930\) | 5.78548 | + | 2.10347i | 0.189713 | + | 0.0689756i | ||||
\(931\) | −15.3373 | − | 8.42377i | −0.502661 | − | 0.276078i | ||||
\(932\) | 0.628007 | − | 0.749483i | 0.0205711 | − | 0.0245501i | ||||
\(933\) | −32.1269 | − | 8.60837i | −1.05179 | − | 0.281825i | ||||
\(934\) | −29.5594 | − | 2.57580i | −0.967214 | − | 0.0842829i | ||||
\(935\) | −0.00399708 | − | 0.00230771i | −0.000130718 | − | 7.54703e-5i | ||||
\(936\) | −1.55334 | − | 5.77315i | −0.0507724 | − | 0.188701i | ||||
\(937\) | − | 1.91865i | − | 0.0626795i | −0.999509 | − | 0.0313398i | \(-0.990023\pi\) | ||
0.999509 | − | 0.0313398i | \(-0.00997739\pi\) | |||||||
\(938\) | 9.27779 | − | 18.3123i | 0.302930 | − | 0.597918i | ||||
\(939\) | −12.5932 | + | 12.5932i | −0.410963 | + | 0.410963i | ||||
\(940\) | 2.62716 | + | 3.74644i | 0.0856884 | + | 0.122196i | ||||
\(941\) | 50.4176 | − | 13.5093i | 1.64357 | − | 0.440392i | 0.685764 | − | 0.727824i | \(-0.259468\pi\) |
0.957801 | + | 0.287432i | \(0.0928014\pi\) | |||||||
\(942\) | 21.6092 | + | 25.7347i | 0.704066 | + | 0.838483i | ||||
\(943\) | 3.80968 | + | 6.59856i | 0.124060 | + | 0.214879i | ||||
\(944\) | −13.3201 | − | 9.29939i | −0.433533 | − | 0.302669i | ||||
\(945\) | 13.8606 | + | 5.56869i | 0.450885 | + | 0.181150i | ||||
\(946\) | −0.0456607 | + | 0.125587i | −0.00148456 | + | 0.00408318i | ||||
\(947\) | 6.53266 | − | 24.3802i | 0.212283 | − | 0.792251i | −0.774822 | − | 0.632179i | \(-0.782161\pi\) |
0.987105 | − | 0.160072i | \(-0.0511725\pi\) | |||||||
\(948\) | −42.7382 | − | 19.8931i | −1.38807 | − | 0.646099i | ||||
\(949\) | 0.892887 | + | 3.33230i | 0.0289843 | + | 0.108171i | ||||
\(950\) | 2.89658 | + | 2.02671i | 0.0939773 | + | 0.0657552i | ||||
\(951\) | − | 42.6141i | − | 1.38186i | ||||||
\(952\) | 2.00573 | + | 2.55149i | 0.0650062 | + | 0.0826943i | ||||
\(953\) | 13.4205i | 0.434732i | 0.976090 | + | 0.217366i | \(0.0697466\pi\) | ||||
−0.976090 | + | 0.217366i | \(0.930253\pi\) | |||||||
\(954\) | −2.34159 | + | 3.34661i | −0.0758119 | + | 0.108350i | ||||
\(955\) | 3.22286 | + | 12.0279i | 0.104289 | + | 0.389213i | ||||
\(956\) | −17.3831 | + | 6.34057i | −0.562211 | + | 0.205069i | ||||
\(957\) | −0.0345870 | + | 0.129080i | −0.00111804 | + | 0.00417258i | ||||
\(958\) | 16.1190 | + | 5.86051i | 0.520781 | + | 0.189345i | ||||
\(959\) | −4.06716 | − | 28.5363i | −0.131335 | − | 0.921486i | ||||
\(960\) | −5.83865 | + | 10.1615i | −0.188442 | + | 0.327962i | ||||
\(961\) | 11.0853 | + | 19.2003i | 0.357591 | + | 0.619365i | ||||
\(962\) | 18.6211 | − | 15.6359i | 0.600368 | − | 0.504123i | ||||
\(963\) | −14.0118 | + | 3.75446i | −0.451525 | + | 0.120986i | ||||
\(964\) | −3.96260 | + | 22.5643i | −0.127627 | + | 0.726748i | ||||
\(965\) | −9.47314 | + | 9.47314i | −0.304951 | + | 0.304951i | ||||
\(966\) | −1.21212 | − | 22.1569i | −0.0389993 | − | 0.712887i | ||||
\(967\) | − | 36.3959i | − | 1.17041i | −0.810884 | − | 0.585207i | \(-0.801013\pi\) | ||
0.810884 | − | 0.585207i | \(-0.198987\pi\) | |||||||
\(968\) | 26.9602 | + | 15.5282i | 0.866535 | + | 0.499095i | ||||
\(969\) | 1.37541 | + | 0.794095i | 0.0441846 | + | 0.0255100i | ||||
\(970\) | 0.884375 | − | 10.1489i | 0.0283956 | − | 0.325862i | ||||
\(971\) | −37.3442 | − | 10.0064i | −1.19843 | − | 0.321119i | −0.396219 | − | 0.918156i | \(-0.629678\pi\) |
−0.802214 | + | 0.597037i | \(0.796345\pi\) | |||||||
\(972\) | −1.50643 | − | 17.0823i | −0.0483186 | − | 0.547915i | ||||
\(973\) | 6.26144 | + | 0.756445i | 0.200733 | + | 0.0242505i | ||||
\(974\) | −1.34122 | + | 3.68894i | −0.0429754 | + | 0.118201i | ||||
\(975\) | −1.81299 | − | 3.14019i | −0.0580621 | − | 0.100567i | ||||
\(976\) | 9.87490 | + | 21.1005i | 0.316088 | + | 0.675409i | ||||
\(977\) | 15.4186 | − | 26.7057i | 0.493284 | − | 0.854393i | −0.506686 | − | 0.862130i | \(-0.669130\pi\) |
0.999970 | + | 0.00773797i | \(0.00246310\pi\) | |||||||
\(978\) | 29.0517 | − | 5.13297i | 0.928972 | − | 0.164134i | ||||
\(979\) | 0.0610733 | + | 0.0610733i | 0.00195191 | + | 0.00195191i | ||||
\(980\) | −2.12668 | + | 13.8375i | −0.0679343 | + | 0.442024i | ||||
\(981\) | −5.88018 | + | 5.88018i | −0.187740 | + | 0.187740i | ||||
\(982\) | −6.72263 | − | 4.70377i | −0.214528 | − | 0.150103i | ||||
\(983\) | −50.8189 | − | 29.3403i | −1.62087 | − | 0.935810i | −0.986688 | − | 0.162627i | \(-0.948003\pi\) |
−0.634183 | − | 0.773183i | \(-0.718663\pi\) | |||||||
\(984\) | 5.50860 | − | 5.52005i | 0.175608 | − | 0.175973i | ||||
\(985\) | 12.1027 | − | 6.98748i | 0.385623 | − | 0.222640i | ||||
\(986\) | 2.22351 | + | 4.76403i | 0.0708110 | + | 0.151718i | ||||
\(987\) | −1.06355 | + | 8.80353i | −0.0338533 | + | 0.280219i | ||||
\(988\) | 7.94777 | − | 9.48512i | 0.252852 | − | 0.301762i | ||||
\(989\) | 9.30319 | − | 34.7200i | 0.295824 | − | 1.10403i | ||||
\(990\) | −0.00984259 | + | 0.00826472i | −0.000312818 | + | 0.000262670i | ||||
\(991\) | 21.6953 | − | 37.5774i | 0.689175 | − | 1.19369i | −0.282930 | − | 0.959141i | \(-0.591306\pi\) |
0.972105 | − | 0.234546i | \(-0.0753602\pi\) | |||||||
\(992\) | 15.7852 | − | 5.77632i | 0.501182 | − | 0.183398i | ||||
\(993\) | −31.3235 | −0.994022 | ||||||||
\(994\) | −34.4399 | − | 30.8672i | −1.09237 | − | 0.979049i | ||||
\(995\) | 7.31708 | + | 7.31708i | 0.231967 | + | 0.231967i | ||||
\(996\) | 7.59235 | + | 1.33332i | 0.240573 | + | 0.0422478i | ||||
\(997\) | −3.36313 | − | 12.5514i | −0.106511 | − | 0.397506i | 0.892001 | − | 0.452034i | \(-0.149301\pi\) |
−0.998512 | + | 0.0545278i | \(0.982635\pi\) | |||||||
\(998\) | 23.1632 | + | 2.01844i | 0.733218 | + | 0.0638925i | ||||
\(999\) | 33.9635 | − | 19.6088i | 1.07456 | − | 0.620396i |
(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 | 560.2.cp.a.221.31 | ✓ | 256 | |
7.2 | even | 3 | inner | 560.2.cp.a.541.14 | yes | 256 | |
16.5 | even | 4 | inner | 560.2.cp.a.501.14 | yes | 256 | |
112.37 | even | 12 | inner | 560.2.cp.a.261.31 | yes | 256 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
560.2.cp.a.221.31 | ✓ | 256 | 1.1 | even | 1 | trivial | |
560.2.cp.a.261.31 | yes | 256 | 112.37 | even | 12 | inner | |
560.2.cp.a.501.14 | yes | 256 | 16.5 | even | 4 | inner | |
560.2.cp.a.541.14 | yes | 256 | 7.2 | even | 3 | inner |