Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(4,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([14, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.z (of order \(21\), degree \(12\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 142.11 | ||
Character | \(\chi\) | \(=\) | 441.142 |
Dual form | 441.2.z.a.382.11 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{4}{21}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.701186 | + | 1.78659i | −0.495813 | + | 1.26331i | 0.435860 | + | 0.900014i | \(0.356444\pi\) |
−0.931673 | + | 0.363297i | \(0.881651\pi\) | |||||||
\(3\) | 0.322748 | − | 1.70172i | 0.186338 | − | 0.982486i | ||||
\(4\) | −1.23415 | − | 1.14512i | −0.617073 | − | 0.572560i | ||||
\(5\) | 0.740914 | − | 0.356805i | 0.331347 | − | 0.159568i | −0.260812 | − | 0.965390i | \(-0.583990\pi\) |
0.592159 | + | 0.805821i | \(0.298276\pi\) | |||||||
\(6\) | 2.81396 | + | 1.76984i | 1.14880 | + | 0.722533i | ||||
\(7\) | 0.756123 | − | 2.53540i | 0.285788 | − | 0.958293i | ||||
\(8\) | −0.547165 | + | 0.263501i | −0.193452 | + | 0.0931615i | ||||
\(9\) | −2.79167 | − | 1.09845i | −0.930556 | − | 0.366150i | ||||
\(10\) | 0.117947 | + | 1.57390i | 0.0372982 | + | 0.497710i | ||||
\(11\) | 1.56961 | + | 1.96823i | 0.473255 | + | 0.593443i | 0.959965 | − | 0.280121i | \(-0.0903746\pi\) |
−0.486710 | + | 0.873564i | \(0.661803\pi\) | |||||||
\(12\) | −2.34699 | + | 1.73058i | −0.677517 | + | 0.499576i | ||||
\(13\) | −0.227504 | + | 0.579670i | −0.0630982 | + | 0.160772i | −0.958945 | − | 0.283590i | \(-0.908474\pi\) |
0.895847 | + | 0.444362i | \(0.146570\pi\) | |||||||
\(14\) | 3.99955 | + | 3.12867i | 1.06893 | + | 0.836173i | ||||
\(15\) | −0.368053 | − | 1.37598i | −0.0950309 | − | 0.355277i | ||||
\(16\) | −0.338731 | − | 4.52005i | −0.0846828 | − | 1.13001i | ||||
\(17\) | 2.66716 | − | 2.47476i | 0.646881 | − | 0.600218i | −0.286945 | − | 0.957947i | \(-0.592640\pi\) |
0.933825 | + | 0.357730i | \(0.116449\pi\) | |||||||
\(18\) | 3.91996 | − | 4.21736i | 0.923943 | − | 0.994040i | ||||
\(19\) | 3.83557 | − | 6.64341i | 0.879941 | − | 1.52410i | 0.0285357 | − | 0.999593i | \(-0.490916\pi\) |
0.851405 | − | 0.524509i | \(-0.175751\pi\) | |||||||
\(20\) | −1.32298 | − | 0.408086i | −0.295828 | − | 0.0912508i | ||||
\(21\) | −4.07050 | − | 2.10500i | −0.888256 | − | 0.459349i | ||||
\(22\) | −4.61701 | + | 1.42416i | −0.984349 | + | 0.303631i | ||||
\(23\) | 0.990752 | − | 4.34077i | 0.206586 | − | 0.905113i | −0.760233 | − | 0.649651i | \(-0.774915\pi\) |
0.966819 | − | 0.255462i | \(-0.0822277\pi\) | |||||||
\(24\) | 0.271807 | + | 1.01616i | 0.0554824 | + | 0.207423i | ||||
\(25\) | −2.69581 | + | 3.38043i | −0.539161 | + | 0.676087i | ||||
\(26\) | −0.876112 | − | 0.812913i | −0.171820 | − | 0.159425i | ||||
\(27\) | −2.77025 | + | 4.39610i | −0.533135 | + | 0.846030i | ||||
\(28\) | −3.83651 | + | 2.26321i | −0.725032 | + | 0.427706i | ||||
\(29\) | −1.23858 | − | 0.382052i | −0.229999 | − | 0.0709454i | 0.177613 | − | 0.984100i | \(-0.443162\pi\) |
−0.407613 | + | 0.913155i | \(0.633639\pi\) | |||||||
\(30\) | 2.71639 | + | 0.307259i | 0.495943 | + | 0.0560976i | ||||
\(31\) | 5.56302 | − | 9.63544i | 0.999149 | − | 1.73058i | 0.463849 | − | 0.885914i | \(-0.346468\pi\) |
0.535300 | − | 0.844662i | \(-0.320199\pi\) | |||||||
\(32\) | 7.15235 | + | 2.20621i | 1.26437 | + | 0.390006i | ||||
\(33\) | 3.85595 | − | 2.03579i | 0.671234 | − | 0.354385i | ||||
\(34\) | 2.55121 | + | 6.50039i | 0.437530 | + | 1.11481i | ||||
\(35\) | −0.344424 | − | 2.14831i | −0.0582183 | − | 0.363130i | ||||
\(36\) | 2.18747 | + | 4.55244i | 0.364578 | + | 0.758740i | ||||
\(37\) | −1.48751 | − | 0.458835i | −0.244544 | − | 0.0754319i | 0.170060 | − | 0.985434i | \(-0.445604\pi\) |
−0.414604 | + | 0.910002i | \(0.636080\pi\) | |||||||
\(38\) | 9.17961 | + | 11.5109i | 1.48913 | + | 1.86731i | ||||
\(39\) | 0.913007 | + | 0.574234i | 0.146198 | + | 0.0919510i | ||||
\(40\) | −0.311384 | + | 0.390463i | −0.0492341 | + | 0.0617376i | ||||
\(41\) | 8.03860 | + | 5.48062i | 1.25542 | + | 0.855929i | 0.994009 | − | 0.109299i | \(-0.0348605\pi\) |
0.261409 | + | 0.965228i | \(0.415813\pi\) | |||||||
\(42\) | 6.61495 | − | 5.79633i | 1.02071 | − | 0.894393i | ||||
\(43\) | −0.484759 | + | 0.330503i | −0.0739250 | + | 0.0504012i | −0.599719 | − | 0.800211i | \(-0.704721\pi\) |
0.525794 | + | 0.850612i | \(0.323768\pi\) | |||||||
\(44\) | 0.316730 | − | 4.22647i | 0.0477489 | − | 0.637164i | ||||
\(45\) | −2.46032 | + | 0.182226i | −0.366763 | + | 0.0271647i | ||||
\(46\) | 7.06048 | + | 4.81376i | 1.04101 | + | 0.709750i | ||||
\(47\) | −4.22503 | + | 10.7652i | −0.616283 | + | 1.57026i | 0.191952 | + | 0.981404i | \(0.438518\pi\) |
−0.808235 | + | 0.588860i | \(0.799577\pi\) | |||||||
\(48\) | −7.80117 | − | 0.882412i | −1.12600 | − | 0.127365i | ||||
\(49\) | −5.85656 | − | 3.83415i | −0.836651 | − | 0.547736i | ||||
\(50\) | −4.14919 | − | 7.18662i | −0.586785 | − | 1.01634i | ||||
\(51\) | −3.35052 | − | 5.33746i | −0.469166 | − | 0.747394i | ||||
\(52\) | 0.944565 | − | 0.454879i | 0.130988 | − | 0.0630803i | ||||
\(53\) | 7.24347 | − | 2.23431i | 0.994967 | − | 0.306907i | 0.245824 | − | 0.969315i | \(-0.420942\pi\) |
0.749143 | + | 0.662408i | \(0.230465\pi\) | |||||||
\(54\) | −5.91158 | − | 8.03179i | −0.804464 | − | 1.09299i | ||||
\(55\) | 1.86522 | + | 0.898242i | 0.251506 | + | 0.121119i | ||||
\(56\) | 0.254357 | + | 1.58652i | 0.0339899 | + | 0.212008i | ||||
\(57\) | −10.0673 | − | 8.67119i | −1.33344 | − | 1.14853i | ||||
\(58\) | 1.55105 | − | 1.94495i | 0.203663 | − | 0.255385i | ||||
\(59\) | −3.85714 | + | 2.62975i | −0.502157 | + | 0.342365i | −0.787759 | − | 0.615984i | \(-0.788759\pi\) |
0.285602 | + | 0.958348i | \(0.407806\pi\) | |||||||
\(60\) | −1.12143 | + | 2.11963i | −0.144777 | + | 0.273643i | ||||
\(61\) | −5.30745 | + | 4.92459i | −0.679549 | + | 0.630530i | −0.942471 | − | 0.334287i | \(-0.891504\pi\) |
0.262922 | + | 0.964817i | \(0.415314\pi\) | |||||||
\(62\) | 13.3139 | + | 16.6951i | 1.69087 | + | 2.12028i | ||||
\(63\) | −4.89586 | + | 6.24745i | −0.616820 | + | 0.787104i | ||||
\(64\) | −3.30450 | + | 4.14372i | −0.413063 | + | 0.517965i | ||||
\(65\) | 0.0382687 | + | 0.510660i | 0.00474665 | + | 0.0633396i | ||||
\(66\) | 0.933383 | + | 8.31647i | 0.114892 | + | 1.02369i | ||||
\(67\) | −5.46245 | + | 9.46124i | −0.667345 | + | 1.15587i | 0.311299 | + | 0.950312i | \(0.399236\pi\) |
−0.978644 | + | 0.205563i | \(0.934097\pi\) | |||||||
\(68\) | −6.12556 | −0.742833 | ||||||||
\(69\) | −7.06699 | − | 3.08695i | −0.850766 | − | 0.371625i | ||||
\(70\) | 4.07965 | + | 0.891016i | 0.487612 | + | 0.106497i | ||||
\(71\) | 0.970573 | − | 4.25236i | 0.115186 | − | 0.504662i | −0.884115 | − | 0.467270i | \(-0.845238\pi\) |
0.999301 | − | 0.0373924i | \(-0.0119051\pi\) | |||||||
\(72\) | 1.81694 | − | 0.134574i | 0.214129 | − | 0.0158597i | ||||
\(73\) | 2.18016 | + | 0.328607i | 0.255169 | + | 0.0384605i | 0.275381 | − | 0.961335i | \(-0.411196\pi\) |
−0.0202121 | + | 0.999796i | \(0.506434\pi\) | |||||||
\(74\) | 1.86277 | − | 2.33584i | 0.216542 | − | 0.271536i | ||||
\(75\) | 4.88247 | + | 5.67852i | 0.563779 | + | 0.655699i | ||||
\(76\) | −12.3412 | + | 3.80674i | −1.41563 | + | 0.436663i | ||||
\(77\) | 6.17707 | − | 2.49137i | 0.703942 | − | 0.283918i | ||||
\(78\) | −1.66611 | + | 1.22853i | −0.188650 | + | 0.139103i | ||||
\(79\) | 2.70110 | + | 4.67844i | 0.303897 | + | 0.526366i | 0.977015 | − | 0.213170i | \(-0.0683787\pi\) |
−0.673118 | + | 0.739535i | \(0.735045\pi\) | |||||||
\(80\) | −1.86375 | − | 3.22811i | −0.208374 | − | 0.360914i | ||||
\(81\) | 6.58682 | + | 6.13301i | 0.731869 | + | 0.681445i | ||||
\(82\) | −15.4282 | + | 10.5188i | −1.70376 | + | 1.16160i | ||||
\(83\) | −2.62092 | − | 6.67800i | −0.287683 | − | 0.733006i | −0.999530 | − | 0.0306701i | \(-0.990236\pi\) |
0.711846 | − | 0.702335i | \(-0.247859\pi\) | |||||||
\(84\) | 2.61311 | + | 7.25909i | 0.285114 | + | 0.792032i | ||||
\(85\) | 1.09313 | − | 2.78524i | 0.118566 | − | 0.302102i | ||||
\(86\) | −0.250568 | − | 1.09781i | −0.0270195 | − | 0.118380i | ||||
\(87\) | −1.04989 | + | 1.98441i | −0.112560 | + | 0.212751i | ||||
\(88\) | −1.37746 | − | 0.663351i | −0.146838 | − | 0.0707135i | ||||
\(89\) | −0.290281 | − | 0.739624i | −0.0307697 | − | 0.0784000i | 0.914663 | − | 0.404217i | \(-0.132456\pi\) |
−0.945433 | + | 0.325817i | \(0.894361\pi\) | |||||||
\(90\) | 1.39958 | − | 4.52336i | 0.147528 | − | 0.476804i | ||||
\(91\) | 1.29768 | + | 1.01512i | 0.136034 | + | 0.106413i | ||||
\(92\) | −6.19344 | + | 4.22261i | −0.645710 | + | 0.440238i | ||||
\(93\) | −14.6013 | − | 12.5765i | −1.51409 | − | 1.30412i | ||||
\(94\) | −16.2705 | − | 15.0968i | −1.67817 | − | 1.55712i | ||||
\(95\) | 0.471426 | − | 6.29075i | 0.0483673 | − | 0.645417i | ||||
\(96\) | 6.06274 | − | 11.4592i | 0.618776 | − | 1.16955i | ||||
\(97\) | −3.44543 | + | 5.96766i | −0.349830 | + | 0.605924i | −0.986219 | − | 0.165445i | \(-0.947094\pi\) |
0.636389 | + | 0.771368i | \(0.280427\pi\) | |||||||
\(98\) | 10.9566 | − | 7.77482i | 1.10678 | − | 0.785376i | ||||
\(99\) | −2.21983 | − | 7.21877i | −0.223101 | − | 0.725514i | ||||
\(100\) | 7.19802 | − | 1.08493i | 0.719802 | − | 0.108493i | ||||
\(101\) | −13.1543 | + | 6.33479i | −1.30890 | + | 0.630335i | −0.952654 | − | 0.304056i | \(-0.901659\pi\) |
−0.356250 | + | 0.934391i | \(0.615945\pi\) | |||||||
\(102\) | 11.8852 | − | 2.24346i | 1.17681 | − | 0.222135i | ||||
\(103\) | 6.00423 | − | 2.89149i | 0.591615 | − | 0.284907i | −0.114025 | − | 0.993478i | \(-0.536374\pi\) |
0.705639 | + | 0.708571i | \(0.250660\pi\) | |||||||
\(104\) | −0.0282614 | − | 0.377123i | −0.00277126 | − | 0.0369799i | ||||
\(105\) | −3.76697 | − | 0.107248i | −0.367618 | − | 0.0104664i | ||||
\(106\) | −1.08721 | + | 14.5078i | −0.105599 | + | 1.40912i | ||||
\(107\) | 4.86622 | + | 12.3989i | 0.470436 | + | 1.19865i | 0.947492 | + | 0.319778i | \(0.103608\pi\) |
−0.477057 | + | 0.878872i | \(0.658296\pi\) | |||||||
\(108\) | 8.45296 | − | 2.25316i | 0.813386 | − | 0.216811i | ||||
\(109\) | 5.26556 | − | 13.4164i | 0.504349 | − | 1.28506i | −0.421383 | − | 0.906883i | \(-0.638455\pi\) |
0.925733 | − | 0.378179i | \(-0.123450\pi\) | |||||||
\(110\) | −2.91266 | + | 2.70255i | −0.277711 | + | 0.257678i | ||||
\(111\) | −1.26089 | + | 2.38322i | −0.119679 | + | 0.226205i | ||||
\(112\) | −11.7163 | − | 2.55889i | −1.10709 | − | 0.241793i | ||||
\(113\) | −15.2663 | − | 2.30102i | −1.43613 | − | 0.216462i | −0.615597 | − | 0.788061i | \(-0.711085\pi\) |
−0.820533 | + | 0.571600i | \(0.806323\pi\) | |||||||
\(114\) | 22.5509 | − | 11.9060i | 2.11209 | − | 1.11510i | ||||
\(115\) | −0.814748 | − | 3.56964i | −0.0759756 | − | 0.332871i | ||||
\(116\) | 1.09110 | + | 1.88984i | 0.101306 | + | 0.175467i | ||||
\(117\) | 1.27185 | − | 1.36835i | 0.117583 | − | 0.126504i | ||||
\(118\) | −1.99372 | − | 8.73508i | −0.183537 | − | 0.804129i | ||||
\(119\) | −4.25782 | − | 8.63355i | −0.390314 | − | 0.791436i | ||||
\(120\) | 0.563958 | + | 0.655907i | 0.0514821 | + | 0.0598758i | ||||
\(121\) | 1.03748 | − | 4.54552i | 0.0943168 | − | 0.413229i | ||||
\(122\) | −5.07673 | − | 12.9353i | −0.459626 | − | 1.17111i | ||||
\(123\) | 11.9209 | − | 11.9105i | 1.07487 | − | 1.07394i | ||||
\(124\) | −17.8993 | + | 5.52121i | −1.60741 | + | 0.495819i | ||||
\(125\) | −1.70616 | + | 7.47516i | −0.152603 | + | 0.668599i | ||||
\(126\) | −7.72874 | − | 13.1275i | −0.688531 | − | 1.16949i | ||||
\(127\) | 2.94918 | + | 12.9212i | 0.261698 | + | 1.14657i | 0.919409 | + | 0.393303i | \(0.128668\pi\) |
−0.657711 | + | 0.753270i | \(0.728475\pi\) | |||||||
\(128\) | 2.39882 | + | 4.15489i | 0.212028 | + | 0.367243i | ||||
\(129\) | 0.405967 | + | 0.931591i | 0.0357434 | + | 0.0820220i | ||||
\(130\) | −0.939175 | − | 0.289697i | −0.0823711 | − | 0.0254081i | ||||
\(131\) | −0.930822 | − | 0.448260i | −0.0813263 | − | 0.0391647i | 0.392778 | − | 0.919633i | \(-0.371514\pi\) |
−0.474105 | + | 0.880468i | \(0.657228\pi\) | |||||||
\(132\) | −7.09002 | − | 1.90307i | −0.617107 | − | 0.165641i | ||||
\(133\) | −13.9436 | − | 14.7480i | −1.20906 | − | 1.27881i | ||||
\(134\) | −13.0732 | − | 16.3933i | −1.12935 | − | 1.41616i | ||||
\(135\) | −0.483965 | + | 4.24557i | −0.0416530 | + | 0.365401i | ||||
\(136\) | −0.807273 | + | 2.05690i | −0.0692231 | + | 0.176378i | ||||
\(137\) | −0.778976 | − | 0.375135i | −0.0665524 | − | 0.0320500i | 0.400311 | − | 0.916379i | \(-0.368902\pi\) |
−0.466864 | + | 0.884329i | \(0.654616\pi\) | |||||||
\(138\) | 10.4704 | − | 10.4613i | 0.891299 | − | 0.890525i | ||||
\(139\) | 16.9645 | + | 11.5662i | 1.43891 | + | 0.981032i | 0.996445 | + | 0.0842458i | \(0.0268481\pi\) |
0.442464 | + | 0.896786i | \(0.354104\pi\) | |||||||
\(140\) | −2.03500 | + | 3.04573i | −0.171989 | + | 0.257411i | ||||
\(141\) | 16.9557 | + | 10.6642i | 1.42792 | + | 0.898090i | ||||
\(142\) | 6.91668 | + | 4.71571i | 0.580435 | + | 0.395734i | ||||
\(143\) | −1.49801 | + | 0.462076i | −0.125270 | + | 0.0386408i | ||||
\(144\) | −4.01942 | + | 12.9906i | −0.334952 | + | 1.08255i | ||||
\(145\) | −1.05400 | + | 0.158865i | −0.0875302 | + | 0.0131930i | ||||
\(146\) | −2.11578 | + | 3.66465i | −0.175104 | + | 0.303288i | ||||
\(147\) | −8.41483 | + | 8.72873i | −0.694043 | + | 0.719933i | ||||
\(148\) | 1.31038 | + | 2.26964i | 0.107712 | + | 0.186563i | ||||
\(149\) | −6.52554 | − | 8.18277i | −0.534593 | − | 0.670359i | 0.439043 | − | 0.898466i | \(-0.355318\pi\) |
−0.973636 | + | 0.228107i | \(0.926746\pi\) | |||||||
\(150\) | −13.5687 | + | 4.74128i | −1.10788 | + | 0.387124i | ||||
\(151\) | 1.37325 | − | 6.01662i | 0.111754 | − | 0.489625i | −0.887813 | − | 0.460204i | \(-0.847776\pi\) |
0.999567 | − | 0.0294216i | \(-0.00936654\pi\) | |||||||
\(152\) | −0.348148 | + | 4.64571i | −0.0282385 | + | 0.376817i | ||||
\(153\) | −10.1642 | + | 3.97897i | −0.821728 | + | 0.321681i | ||||
\(154\) | 0.119794 | + | 12.7828i | 0.00965324 | + | 1.03007i | ||||
\(155\) | 0.683746 | − | 9.12395i | 0.0549198 | − | 0.732853i | ||||
\(156\) | −0.469218 | − | 1.75419i | −0.0375675 | − | 0.140448i | ||||
\(157\) | 5.35058 | − | 3.64796i | 0.427023 | − | 0.291139i | −0.330675 | − | 0.943745i | \(-0.607276\pi\) |
0.757698 | + | 0.652605i | \(0.226324\pi\) | |||||||
\(158\) | −10.2524 | + | 1.54531i | −0.815640 | + | 0.122938i | ||||
\(159\) | −1.46435 | − | 13.0474i | −0.116131 | − | 1.03473i | ||||
\(160\) | 6.08647 | − | 0.917387i | 0.481177 | − | 0.0725258i | ||||
\(161\) | −10.2565 | − | 5.79411i | −0.808324 | − | 0.456640i | ||||
\(162\) | −15.5758 | + | 7.46759i | −1.22375 | + | 0.586709i | ||||
\(163\) | 3.41865 | − | 2.33080i | 0.267769 | − | 0.182562i | −0.421990 | − | 0.906600i | \(-0.638668\pi\) |
0.689760 | + | 0.724038i | \(0.257716\pi\) | |||||||
\(164\) | −3.64483 | − | 15.9691i | −0.284614 | − | 1.24697i | ||||
\(165\) | 2.13055 | − | 2.88417i | 0.165863 | − | 0.224532i | ||||
\(166\) | 13.7686 | 1.06865 | ||||||||
\(167\) | −12.7405 | + | 11.8214i | −0.985888 | + | 0.914770i | −0.996366 | − | 0.0851748i | \(-0.972855\pi\) |
0.0104781 | + | 0.999945i | \(0.496665\pi\) | |||||||
\(168\) | 2.78190 | + | 0.0792029i | 0.214628 | + | 0.00611064i | ||||
\(169\) | 9.24541 | + | 8.57849i | 0.711186 | + | 0.659884i | ||||
\(170\) | 4.20960 | + | 3.90594i | 0.322862 | + | 0.299572i | ||||
\(171\) | −18.0051 | + | 14.3330i | −1.37688 | + | 1.09607i | ||||
\(172\) | 0.976729 | + | 0.147218i | 0.0744749 | + | 0.0112253i | ||||
\(173\) | 0.380844 | − | 0.117475i | 0.0289550 | − | 0.00893143i | −0.280244 | − | 0.959929i | \(-0.590415\pi\) |
0.309199 | + | 0.950997i | \(0.399939\pi\) | |||||||
\(174\) | −2.80916 | − | 3.26717i | −0.212962 | − | 0.247684i | ||||
\(175\) | 6.53241 | + | 9.39098i | 0.493804 | + | 0.709891i | ||||
\(176\) | 8.36481 | − | 7.76141i | 0.630522 | − | 0.585039i | ||||
\(177\) | 3.23021 | + | 7.41250i | 0.242797 | + | 0.557157i | ||||
\(178\) | 1.52495 | 0.114300 | ||||||||
\(179\) | −1.36844 | + | 1.26973i | −0.102282 | + | 0.0949038i | −0.729656 | − | 0.683814i | \(-0.760320\pi\) |
0.627375 | + | 0.778718i | \(0.284130\pi\) | |||||||
\(180\) | 3.24506 | + | 2.59247i | 0.241873 | + | 0.193231i | ||||
\(181\) | −7.62719 | + | 9.56419i | −0.566924 | + | 0.710901i | −0.979821 | − | 0.199877i | \(-0.935946\pi\) |
0.412896 | + | 0.910778i | \(0.364517\pi\) | |||||||
\(182\) | −2.72351 | + | 1.60664i | −0.201880 | + | 0.119092i | ||||
\(183\) | 6.66729 | + | 10.6212i | 0.492860 | + | 0.785139i | ||||
\(184\) | 0.601691 | + | 2.63618i | 0.0443572 | + | 0.194342i | ||||
\(185\) | −1.26583 | + | 0.190793i | −0.0930655 | + | 0.0140274i | ||||
\(186\) | 32.7073 | − | 17.2681i | 2.39822 | − | 1.26616i | ||||
\(187\) | 9.05728 | + | 1.36517i | 0.662334 | + | 0.0998308i | ||||
\(188\) | 17.5417 | − | 8.44765i | 1.27936 | − | 0.616109i | ||||
\(189\) | 9.05125 | + | 10.3477i | 0.658382 | + | 0.752684i | ||||
\(190\) | 10.9084 | + | 5.25323i | 0.791381 | + | 0.381109i | ||||
\(191\) | 21.3664 | + | 14.5674i | 1.54602 | + | 1.05406i | 0.971932 | + | 0.235261i | \(0.0755946\pi\) |
0.574085 | + | 0.818795i | \(0.305358\pi\) | |||||||
\(192\) | 5.98491 | + | 6.96070i | 0.431923 | + | 0.502345i | ||||
\(193\) | −0.681378 | + | 9.09236i | −0.0490467 | + | 0.654482i | 0.917458 | + | 0.397833i | \(0.130238\pi\) |
−0.966505 | + | 0.256649i | \(0.917381\pi\) | |||||||
\(194\) | −8.24588 | − | 10.3400i | −0.592020 | − | 0.742369i | ||||
\(195\) | 0.881350 | + | 0.0996920i | 0.0631148 | + | 0.00713909i | ||||
\(196\) | 2.83728 | + | 11.4384i | 0.202663 | + | 0.817026i | ||||
\(197\) | −9.12090 | −0.649837 | −0.324919 | − | 0.945742i | \(-0.605337\pi\) | ||||
−0.324919 | + | 0.945742i | \(0.605337\pi\) | |||||||
\(198\) | 14.4535 | + | 1.09577i | 1.02717 | + | 0.0778728i | ||||
\(199\) | −2.72667 | − | 1.85901i | −0.193288 | − | 0.131782i | 0.462809 | − | 0.886458i | \(-0.346842\pi\) |
−0.656097 | + | 0.754676i | \(0.727794\pi\) | |||||||
\(200\) | 0.584303 | − | 2.56000i | 0.0413165 | − | 0.181019i | ||||
\(201\) | 14.3373 | + | 12.3491i | 1.01128 | + | 0.871040i | ||||
\(202\) | −2.09406 | − | 27.9433i | −0.147337 | − | 1.96608i | ||||
\(203\) | −1.90518 | + | 2.85143i | −0.133717 | + | 0.200131i | ||||
\(204\) | −1.97701 | + | 10.4240i | −0.138418 | + | 0.729823i | ||||
\(205\) | 7.91143 | + | 1.19246i | 0.552558 | + | 0.0832847i | ||||
\(206\) | 0.955824 | + | 12.7546i | 0.0665954 | + | 0.888654i | ||||
\(207\) | −7.53396 | + | 11.0297i | −0.523647 | + | 0.766617i | ||||
\(208\) | 2.69720 | + | 0.831977i | 0.187017 | + | 0.0576872i | ||||
\(209\) | 19.0961 | − | 2.87827i | 1.32090 | − | 0.199094i | ||||
\(210\) | 2.83295 | − | 6.65483i | 0.195492 | − | 0.459227i | ||||
\(211\) | −3.57209 | − | 0.538407i | −0.245913 | − | 0.0370654i | 0.0249290 | − | 0.999689i | \(-0.492064\pi\) |
−0.270842 | + | 0.962624i | \(0.587302\pi\) | |||||||
\(212\) | −11.4981 | − | 5.53717i | −0.789690 | − | 0.380295i | ||||
\(213\) | −6.92305 | − | 3.02408i | −0.474360 | − | 0.207206i | ||||
\(214\) | −25.5640 | −1.74752 | ||||||||
\(215\) | −0.241239 | + | 0.417839i | −0.0164524 | + | 0.0284964i | ||||
\(216\) | 0.357408 | − | 3.13535i | 0.0243185 | − | 0.213334i | ||||
\(217\) | −20.2234 | − | 21.3901i | −1.37286 | − | 1.45205i | ||||
\(218\) | 20.2776 | + | 18.8148i | 1.37337 | + | 1.27430i | ||||
\(219\) | 1.26284 | − | 3.60396i | 0.0853346 | − | 0.243533i | ||||
\(220\) | −1.27336 | − | 3.24446i | −0.0858498 | − | 0.218742i | ||||
\(221\) | 0.827756 | + | 2.10909i | 0.0556809 | + | 0.141873i | ||||
\(222\) | −3.37372 | − | 3.92379i | −0.226430 | − | 0.263347i | ||||
\(223\) | 16.4536 | + | 15.2667i | 1.10181 | + | 1.02233i | 0.999620 | + | 0.0275679i | \(0.00877625\pi\) |
0.102193 | + | 0.994765i | \(0.467414\pi\) | |||||||
\(224\) | 11.0017 | − | 16.4659i | 0.735081 | − | 1.10018i | ||||
\(225\) | 11.2390 | − | 6.47584i | 0.749268 | − | 0.431723i | ||||
\(226\) | 14.8155 | − | 25.6611i | 0.985510 | − | 1.70695i | ||||
\(227\) | −5.21802 | −0.346332 | −0.173166 | − | 0.984893i | \(-0.555400\pi\) | ||||
−0.173166 | + | 0.984893i | \(0.555400\pi\) | |||||||
\(228\) | 2.49491 | + | 22.2297i | 0.165230 | + | 1.47220i | ||||
\(229\) | 22.4255 | + | 10.7995i | 1.48192 | + | 0.713654i | 0.987798 | − | 0.155739i | \(-0.0497760\pi\) |
0.494120 | + | 0.869394i | \(0.335490\pi\) | |||||||
\(230\) | 6.94879 | + | 1.04736i | 0.458189 | + | 0.0690609i | ||||
\(231\) | −2.24597 | − | 11.3157i | −0.147774 | − | 0.744518i | ||||
\(232\) | 0.778380 | − | 0.117322i | 0.0511032 | − | 0.00770256i | ||||
\(233\) | −27.5629 | − | 8.50203i | −1.80571 | − | 0.556987i | −0.806303 | − | 0.591503i | \(-0.798535\pi\) |
−0.999404 | + | 0.0345166i | \(0.989011\pi\) | |||||||
\(234\) | 1.55287 | + | 3.23175i | 0.101514 | + | 0.211266i | ||||
\(235\) | 0.710697 | + | 9.48359i | 0.0463608 | + | 0.618641i | ||||
\(236\) | 7.77166 | + | 1.17139i | 0.505892 | + | 0.0762509i | ||||
\(237\) | 8.83314 | − | 3.08655i | 0.573774 | − | 0.200493i | ||||
\(238\) | 18.4101 | − | 1.55327i | 1.19335 | − | 0.100684i | ||||
\(239\) | 0.513088 | + | 6.84668i | 0.0331889 | + | 0.442875i | 0.988901 | + | 0.148573i | \(0.0474680\pi\) |
−0.955713 | + | 0.294302i | \(0.904913\pi\) | |||||||
\(240\) | −6.09484 | + | 2.12971i | −0.393421 | + | 0.137472i | ||||
\(241\) | 4.55609 | − | 19.9615i | 0.293484 | − | 1.28584i | −0.586157 | − | 0.810197i | \(-0.699360\pi\) |
0.879641 | − | 0.475638i | \(-0.157783\pi\) | |||||||
\(242\) | 7.39352 | + | 5.04081i | 0.475273 | + | 0.324036i | ||||
\(243\) | 12.5625 | − | 9.22948i | 0.805886 | − | 0.592071i | ||||
\(244\) | 12.1894 | 0.780348 | ||||||||
\(245\) | −5.70725 | − | 0.751128i | −0.364623 | − | 0.0479878i | ||||
\(246\) | 12.9205 | + | 29.6493i | 0.823782 | + | 1.89037i | ||||
\(247\) | 2.97838 | + | 3.73477i | 0.189510 | + | 0.237638i | ||||
\(248\) | −0.504946 | + | 6.73803i | −0.0320641 | + | 0.427866i | ||||
\(249\) | −12.2099 | + | 2.30475i | −0.773774 | + | 0.146058i | ||||
\(250\) | −12.1587 | − | 8.28968i | −0.768986 | − | 0.524286i | ||||
\(251\) | 15.6505 | + | 7.53689i | 0.987851 | + | 0.475724i | 0.856799 | − | 0.515651i | \(-0.172450\pi\) |
0.131053 | + | 0.991375i | \(0.458164\pi\) | |||||||
\(252\) | 13.1963 | − | 2.10392i | 0.831288 | − | 0.132534i | ||||
\(253\) | 10.0987 | − | 4.86328i | 0.634901 | − | 0.305752i | ||||
\(254\) | −25.1529 | − | 3.79119i | −1.57823 | − | 0.237880i | ||||
\(255\) | −4.38688 | − | 2.75912i | −0.274717 | − | 0.172783i | ||||
\(256\) | −19.5867 | + | 2.95223i | −1.22417 | + | 0.184514i | ||||
\(257\) | −2.38340 | − | 10.4423i | −0.148672 | − | 0.651376i | −0.993255 | − | 0.115951i | \(-0.963009\pi\) |
0.844583 | − | 0.535425i | \(-0.179849\pi\) | |||||||
\(258\) | −1.94903 | + | 0.0720799i | −0.121341 | + | 0.00448750i | ||||
\(259\) | −2.28807 | + | 3.42449i | −0.142174 | + | 0.212788i | ||||
\(260\) | 0.537539 | − | 0.674052i | 0.0333367 | − | 0.0418029i | ||||
\(261\) | 3.03805 | + | 2.42708i | 0.188051 | + | 0.150233i | ||||
\(262\) | 1.45354 | − | 1.34868i | 0.0897998 | − | 0.0833220i | ||||
\(263\) | −5.10650 | −0.314880 | −0.157440 | − | 0.987529i | \(-0.550324\pi\) | ||||
−0.157440 | + | 0.987529i | \(0.550324\pi\) | |||||||
\(264\) | −1.57341 | + | 2.12995i | −0.0968366 | + | 0.131090i | ||||
\(265\) | 4.56957 | − | 4.23994i | 0.280707 | − | 0.260458i | ||||
\(266\) | 36.1256 | − | 14.5704i | 2.21500 | − | 0.893368i | ||||
\(267\) | −1.35232 | + | 0.255264i | −0.0827604 | + | 0.0156219i | ||||
\(268\) | 17.5757 | − | 5.42139i | 1.07361 | − | 0.331164i | ||||
\(269\) | 14.4591 | + | 2.17935i | 0.881585 | + | 0.132878i | 0.574207 | − | 0.818710i | \(-0.305310\pi\) |
0.307378 | + | 0.951588i | \(0.400548\pi\) | |||||||
\(270\) | −7.24576 | − | 3.84158i | −0.440963 | − | 0.233791i | ||||
\(271\) | −1.55475 | − | 1.44260i | −0.0944446 | − | 0.0876318i | 0.631538 | − | 0.775345i | \(-0.282424\pi\) |
−0.725982 | + | 0.687713i | \(0.758615\pi\) | |||||||
\(272\) | −12.0895 | − | 11.2174i | −0.733033 | − | 0.680156i | ||||
\(273\) | 2.14626 | − | 1.88065i | 0.129898 | − | 0.113822i | ||||
\(274\) | 1.21642 | − | 1.12867i | 0.0734866 | − | 0.0681856i | ||||
\(275\) | −10.8848 | −0.656379 | ||||||||
\(276\) | 5.18677 | + | 11.9023i | 0.312207 | + | 0.716434i | ||||
\(277\) | −1.44520 | − | 6.33184i | −0.0868337 | − | 0.380443i | 0.912774 | − | 0.408466i | \(-0.133936\pi\) |
−0.999607 | + | 0.0280225i | \(0.991079\pi\) | |||||||
\(278\) | −32.5593 | + | 22.1986i | −1.95278 | + | 1.33138i | ||||
\(279\) | −26.1142 | + | 20.7883i | −1.56341 | + | 1.24456i | ||||
\(280\) | 0.754537 | + | 1.08472i | 0.0450922 | + | 0.0648245i | ||||
\(281\) | 0.397349 | − | 0.0598908i | 0.0237039 | − | 0.00357278i | −0.137180 | − | 0.990546i | \(-0.543804\pi\) |
0.160883 | + | 0.986973i | \(0.448566\pi\) | |||||||
\(282\) | −30.9417 | + | 22.8153i | −1.84255 | + | 1.35863i | ||||
\(283\) | −6.71876 | + | 1.01269i | −0.399389 | + | 0.0601982i | −0.345666 | − | 0.938358i | \(-0.612347\pi\) |
−0.0537229 | + | 0.998556i | \(0.517109\pi\) | |||||||
\(284\) | −6.06729 | + | 4.13661i | −0.360027 | + | 0.245463i | ||||
\(285\) | −10.5529 | − | 2.83256i | −0.625100 | − | 0.167786i | ||||
\(286\) | 0.224845 | − | 3.00034i | 0.0132953 | − | 0.177414i | ||||
\(287\) | 19.9738 | − | 16.2371i | 1.17901 | − | 0.958444i | ||||
\(288\) | −17.5436 | − | 14.0155i | −1.03377 | − | 0.825871i | ||||
\(289\) | −0.281122 | + | 3.75132i | −0.0165366 | + | 0.220666i | ||||
\(290\) | 0.455224 | − | 1.99447i | 0.0267317 | − | 0.117119i | ||||
\(291\) | 9.04325 | + | 7.78918i | 0.530124 | + | 0.456610i | ||||
\(292\) | −2.31435 | − | 2.90210i | −0.135437 | − | 0.169832i | ||||
\(293\) | −7.21004 | − | 12.4882i | −0.421215 | − | 0.729566i | 0.574843 | − | 0.818263i | \(-0.305063\pi\) |
−0.996059 | + | 0.0886972i | \(0.971730\pi\) | |||||||
\(294\) | −9.69432 | − | 21.1543i | −0.565384 | − | 1.23375i | ||||
\(295\) | −1.91950 | + | 3.32467i | −0.111758 | + | 0.193570i | ||||
\(296\) | 0.934814 | − | 0.140900i | 0.0543349 | − | 0.00818967i | ||||
\(297\) | −13.0007 | + | 1.44768i | −0.754379 | + | 0.0840028i | ||||
\(298\) | 19.1949 | − | 5.92084i | 1.11193 | − | 0.342985i | ||||
\(299\) | 2.29081 | + | 1.56185i | 0.132481 | + | 0.0903242i | ||||
\(300\) | 0.476907 | − | 12.5991i | 0.0275342 | − | 0.727412i | ||||
\(301\) | 0.471422 | + | 1.47896i | 0.0271723 | + | 0.0852459i | ||||
\(302\) | 9.78634 | + | 6.67221i | 0.563140 | + | 0.383943i | ||||
\(303\) | 6.53448 | + | 24.4294i | 0.375396 | + | 1.40343i | ||||
\(304\) | −31.3278 | − | 15.0867i | −1.79677 | − | 0.865279i | ||||
\(305\) | −2.17524 | + | 5.54243i | −0.124554 | + | 0.317359i | ||||
\(306\) | 0.0181986 | − | 20.9493i | 0.00104035 | − | 1.19759i | ||||
\(307\) | −7.34331 | − | 9.20822i | −0.419105 | − | 0.525541i | 0.526798 | − | 0.849990i | \(-0.323392\pi\) |
−0.945903 | + | 0.324449i | \(0.894821\pi\) | |||||||
\(308\) | −10.4763 | − | 3.99877i | −0.596944 | − | 0.227851i | ||||
\(309\) | −2.98263 | − | 11.1507i | −0.169676 | − | 0.634342i | ||||
\(310\) | 15.8213 | + | 7.61916i | 0.898592 | + | 0.432739i | ||||
\(311\) | 9.46392 | + | 2.91923i | 0.536650 | + | 0.165535i | 0.551221 | − | 0.834359i | \(-0.314162\pi\) |
−0.0145712 | + | 0.999894i | \(0.504638\pi\) | |||||||
\(312\) | −0.650876 | − | 0.0736225i | −0.0368486 | − | 0.00416805i | ||||
\(313\) | −7.25979 | − | 12.5743i | −0.410348 | − | 0.710743i | 0.584580 | − | 0.811336i | \(-0.301259\pi\) |
−0.994928 | + | 0.100593i | \(0.967926\pi\) | |||||||
\(314\) | 2.76567 | + | 12.1172i | 0.156076 | + | 0.683814i | ||||
\(315\) | −1.39829 | + | 6.37569i | −0.0787845 | + | 0.359229i | ||||
\(316\) | 2.02383 | − | 8.86696i | 0.113849 | − | 0.498806i | ||||
\(317\) | 4.46469 | − | 1.37717i | 0.250762 | − | 0.0773498i | −0.166826 | − | 0.985986i | \(-0.553352\pi\) |
0.417588 | + | 0.908637i | \(0.362876\pi\) | |||||||
\(318\) | 24.3372 | + | 6.53247i | 1.36476 | + | 0.366323i | ||||
\(319\) | −1.19213 | − | 3.03749i | −0.0667462 | − | 0.170067i | ||||
\(320\) | −0.969853 | + | 4.24920i | −0.0542164 | + | 0.237538i | ||||
\(321\) | 22.6700 | − | 4.27920i | 1.26532 | − | 0.238842i | ||||
\(322\) | 17.5434 | − | 14.2614i | 0.977656 | − | 0.794756i | ||||
\(323\) | −6.21076 | − | 27.2111i | −0.345576 | − | 1.51407i | ||||
\(324\) | −1.10607 | − | 15.1117i | −0.0614483 | − | 0.839541i | ||||
\(325\) | −1.34623 | − | 2.33174i | −0.0746754 | − | 0.129342i | ||||
\(326\) | 1.76707 | + | 7.74206i | 0.0978692 | + | 0.428793i | ||||
\(327\) | −21.1315 | − | 13.2906i | −1.16857 | − | 0.734972i | ||||
\(328\) | −5.84258 | − | 0.880628i | −0.322603 | − | 0.0486245i | ||||
\(329\) | 24.0995 | + | 18.8520i | 1.32865 | + | 1.03934i | ||||
\(330\) | 3.65892 | + | 5.82875i | 0.201417 | + | 0.320862i | ||||
\(331\) | 10.6834 | − | 9.91272i | 0.587211 | − | 0.544852i | −0.329627 | − | 0.944111i | \(-0.606923\pi\) |
0.916838 | + | 0.399259i | \(0.130733\pi\) | |||||||
\(332\) | −4.41251 | + | 11.2429i | −0.242168 | + | 0.617034i | ||||
\(333\) | 3.64861 | + | 2.91486i | 0.199943 | + | 0.159733i | ||||
\(334\) | −12.1866 | − | 31.0511i | −0.666824 | − | 1.69904i | ||||
\(335\) | −0.671384 | + | 8.95900i | −0.0366816 | + | 0.489483i | ||||
\(336\) | −8.13591 | + | 19.1119i | −0.443850 | + | 1.04264i | ||||
\(337\) | 1.53434 | + | 20.4743i | 0.0835808 | + | 1.11531i | 0.868493 | + | 0.495701i | \(0.165089\pi\) |
−0.784912 | + | 0.619607i | \(0.787292\pi\) | |||||||
\(338\) | −21.8090 | + | 10.5027i | −1.18625 | + | 0.571270i | ||||
\(339\) | −8.84283 | + | 25.2362i | −0.480276 | + | 1.37064i | ||||
\(340\) | −4.53851 | + | 2.18563i | −0.246135 | + | 0.118533i | ||||
\(341\) | 27.6965 | − | 4.17458i | 1.49985 | − | 0.226066i | ||||
\(342\) | −12.9823 | − | 42.2178i | −0.702004 | − | 2.28288i | ||||
\(343\) | −14.1494 | + | 11.9497i | −0.763996 | + | 0.645221i | ||||
\(344\) | 0.178155 | − | 0.308574i | 0.00960549 | − | 0.0166372i | ||||
\(345\) | −6.33747 | + | 0.234375i | −0.341198 | + | 0.0126183i | ||||
\(346\) | −0.0571627 | + | 0.762784i | −0.00307309 | + | 0.0410075i | ||||
\(347\) | −14.8055 | − | 13.7375i | −0.794799 | − | 0.737466i | 0.174152 | − | 0.984719i | \(-0.444282\pi\) |
−0.968951 | + | 0.247253i | \(0.920472\pi\) | |||||||
\(348\) | 3.56811 | − | 1.24680i | 0.191271 | − | 0.0668353i | ||||
\(349\) | −3.83338 | + | 2.61355i | −0.205196 | + | 0.139900i | −0.661558 | − | 0.749894i | \(-0.730105\pi\) |
0.456362 | + | 0.889794i | \(0.349152\pi\) | |||||||
\(350\) | −21.3583 | + | 5.08593i | −1.14165 | + | 0.271854i | ||||
\(351\) | −1.91805 | − | 2.60596i | −0.102378 | − | 0.139096i | ||||
\(352\) | 6.88408 | + | 17.5403i | 0.366922 | + | 0.934903i | ||||
\(353\) | −3.78674 | − | 1.82360i | −0.201548 | − | 0.0970604i | 0.330387 | − | 0.943845i | \(-0.392821\pi\) |
−0.531935 | + | 0.846785i | \(0.678535\pi\) | |||||||
\(354\) | −15.5081 | + | 0.573526i | −0.824245 | + | 0.0304826i | ||||
\(355\) | −0.798153 | − | 3.49694i | −0.0423616 | − | 0.185598i | ||||
\(356\) | −0.488709 | + | 1.24521i | −0.0259015 | + | 0.0659960i | ||||
\(357\) | −16.0660 | + | 4.45914i | −0.850305 | + | 0.236003i | ||||
\(358\) | −1.30895 | − | 3.33516i | −0.0691803 | − | 0.176269i | ||||
\(359\) | 25.9666 | − | 17.7037i | 1.37046 | − | 0.934365i | 0.370478 | − | 0.928841i | \(-0.379194\pi\) |
0.999985 | − | 0.00552408i | \(-0.00175838\pi\) | |||||||
\(360\) | 1.29818 | − | 0.748003i | 0.0684202 | − | 0.0394232i | ||||
\(361\) | −19.9232 | − | 34.5080i | −1.04859 | − | 1.81621i | ||||
\(362\) | −11.7392 | − | 20.3330i | −0.617000 | − | 1.06868i | ||||
\(363\) | −7.40033 | − | 3.23256i | −0.388417 | − | 0.169665i | ||||
\(364\) | −0.439094 | − | 2.73880i | −0.0230148 | − | 0.143552i | ||||
\(365\) | 1.73256 | − | 0.534425i | 0.0906864 | − | 0.0279731i | ||||
\(366\) | −23.6507 | + | 4.46432i | −1.23624 | + | 0.233353i | ||||
\(367\) | 12.0378 | − | 15.0949i | 0.628366 | − | 0.787946i | −0.361129 | − | 0.932516i | \(-0.617609\pi\) |
0.989495 | + | 0.144570i | \(0.0461800\pi\) | |||||||
\(368\) | −19.9561 | − | 3.00790i | −1.04028 | − | 0.156798i | ||||
\(369\) | −16.4209 | − | 24.1301i | −0.854839 | − | 1.25616i | ||||
\(370\) | 0.546712 | − | 2.39530i | 0.0284222 | − | 0.124526i | ||||
\(371\) | −0.187940 | − | 20.0545i | −0.00975737 | − | 1.04118i | ||||
\(372\) | 3.61856 | + | 32.2415i | 0.187614 | + | 1.67164i | ||||
\(373\) | 30.0937 | 1.55819 | 0.779096 | − | 0.626904i | \(-0.215678\pi\) | ||||
0.779096 | + | 0.626904i | \(0.215678\pi\) | |||||||
\(374\) | −8.78983 | + | 15.2244i | −0.454511 | + | 0.787237i | ||||
\(375\) | 12.1699 | + | 5.31598i | 0.628453 | + | 0.274516i | ||||
\(376\) | −0.524849 | − | 7.00363i | −0.0270670 | − | 0.361185i | ||||
\(377\) | 0.503247 | − | 0.631052i | 0.0259185 | − | 0.0325008i | ||||
\(378\) | −24.8337 | + | 8.91523i | −1.27731 | + | 0.458550i | ||||
\(379\) | 10.2255 | + | 12.8223i | 0.525246 | + | 0.658638i | 0.971714 | − | 0.236162i | \(-0.0758896\pi\) |
−0.446468 | + | 0.894800i | \(0.647318\pi\) | |||||||
\(380\) | −7.78547 | + | 7.22386i | −0.399386 | + | 0.370576i | ||||
\(381\) | 22.9401 | − | 0.848379i | 1.17526 | − | 0.0434638i | ||||
\(382\) | −41.0077 | + | 27.9586i | −2.09814 | + | 1.43049i | ||||
\(383\) | 1.96285 | − | 2.46133i | 0.100297 | − | 0.125768i | −0.729150 | − | 0.684354i | \(-0.760084\pi\) |
0.829447 | + | 0.558586i | \(0.188656\pi\) | |||||||
\(384\) | 7.84465 | − | 2.74114i | 0.400320 | − | 0.139883i | ||||
\(385\) | 3.68774 | − | 4.04990i | 0.187945 | − | 0.206402i | ||||
\(386\) | −15.7666 | − | 7.59278i | −0.802497 | − | 0.386462i | ||||
\(387\) | 1.71633 | − | 0.390172i | 0.0872458 | − | 0.0198336i | ||||
\(388\) | 11.0858 | − | 3.41953i | 0.562799 | − | 0.173600i | ||||
\(389\) | −3.53908 | + | 1.70433i | −0.179438 | + | 0.0864130i | −0.521446 | − | 0.853284i | \(-0.674607\pi\) |
0.342008 | + | 0.939697i | \(0.388893\pi\) | |||||||
\(390\) | −0.796099 | + | 1.50471i | −0.0403120 | + | 0.0761939i | ||||
\(391\) | −8.09987 | − | 14.0294i | −0.409628 | − | 0.709497i | ||||
\(392\) | 4.21480 | + | 0.554708i | 0.212880 | + | 0.0280170i | ||||
\(393\) | −1.06323 | + | 1.43932i | −0.0536329 | + | 0.0726040i | ||||
\(394\) | 6.39545 | − | 16.2953i | 0.322198 | − | 0.820947i | ||||
\(395\) | 3.67058 | + | 2.50256i | 0.184687 | + | 0.125917i | ||||
\(396\) | −5.52677 | + | 11.4510i | −0.277730 | + | 0.575434i | ||||
\(397\) | −2.00009 | + | 26.6893i | −0.100381 | + | 1.33950i | 0.688627 | + | 0.725116i | \(0.258214\pi\) |
−0.789009 | + | 0.614382i | \(0.789405\pi\) | |||||||
\(398\) | 5.23319 | − | 3.56793i | 0.262316 | − | 0.178844i | ||||
\(399\) | −29.5971 | + | 18.9681i | −1.48171 | + | 0.949593i | ||||
\(400\) | 16.1929 | + | 11.0401i | 0.809645 | + | 0.552006i | ||||
\(401\) | 2.09219 | − | 2.62353i | 0.104479 | − | 0.131013i | −0.726843 | − | 0.686804i | \(-0.759013\pi\) |
0.831322 | + | 0.555791i | \(0.187585\pi\) | |||||||
\(402\) | −32.1160 | + | 16.9560i | −1.60180 | + | 0.845686i | ||||
\(403\) | 4.31977 | + | 5.41682i | 0.215183 | + | 0.269831i | ||||
\(404\) | 23.4884 | + | 7.24523i | 1.16859 | + | 0.360464i | ||||
\(405\) | 7.06856 | + | 2.19382i | 0.351240 | + | 0.109012i | ||||
\(406\) | −3.75846 | − | 5.40316i | −0.186529 | − | 0.268154i | ||||
\(407\) | −1.43171 | − | 3.64794i | −0.0709672 | − | 0.180822i | ||||
\(408\) | 3.23971 | + | 2.03761i | 0.160390 | + | 0.100877i | ||||
\(409\) | 8.92277 | + | 2.75231i | 0.441203 | + | 0.136093i | 0.507394 | − | 0.861714i | \(-0.330609\pi\) |
−0.0661918 | + | 0.997807i | \(0.521085\pi\) | |||||||
\(410\) | −7.67781 | + | 13.2984i | −0.379180 | + | 0.656759i | ||||
\(411\) | −0.889786 | + | 1.20452i | −0.0438899 | + | 0.0594147i | ||||
\(412\) | −10.7212 | − | 3.30705i | −0.528196 | − | 0.162927i | ||||
\(413\) | 3.75102 | + | 11.7678i | 0.184575 | + | 0.579057i | ||||
\(414\) | −14.4229 | − | 21.1940i | −0.708845 | − | 1.04163i | ||||
\(415\) | −4.32462 | − | 4.01266i | −0.212287 | − | 0.196974i | ||||
\(416\) | −2.90606 | + | 3.64409i | −0.142481 | + | 0.178666i | ||||
\(417\) | 25.1576 | − | 25.1358i | 1.23197 | − | 1.23090i | ||||
\(418\) | −8.24760 | + | 36.1351i | −0.403403 | + | 1.76743i | ||||
\(419\) | −0.238840 | + | 0.0736723i | −0.0116681 | + | 0.00359913i | −0.300584 | − | 0.953755i | \(-0.597181\pi\) |
0.288916 | + | 0.957355i | \(0.406705\pi\) | |||||||
\(420\) | 4.52618 | + | 4.44599i | 0.220855 | + | 0.216942i | ||||
\(421\) | 4.07557 | + | 1.25715i | 0.198631 | + | 0.0612696i | 0.392474 | − | 0.919763i | \(-0.371619\pi\) |
−0.193843 | + | 0.981033i | \(0.562095\pi\) | |||||||
\(422\) | 3.46661 | − | 6.00435i | 0.168752 | − | 0.292287i | ||||
\(423\) | 23.6199 | − | 25.4119i | 1.14844 | − | 1.23557i | ||||
\(424\) | −3.37463 | + | 3.13120i | −0.163886 | + | 0.152064i | ||||
\(425\) | 1.17562 | + | 15.6876i | 0.0570262 | + | 0.760961i | ||||
\(426\) | 10.2571 | − | 10.2482i | 0.496960 | − | 0.496528i | ||||
\(427\) | 8.47276 | + | 17.1801i | 0.410025 | + | 0.831405i | ||||
\(428\) | 8.19264 | − | 20.8745i | 0.396006 | − | 1.00901i | ||||
\(429\) | 0.302842 | + | 2.69833i | 0.0146213 | + | 0.130276i | ||||
\(430\) | −0.577354 | − | 0.723979i | −0.0278425 | − | 0.0349134i | ||||
\(431\) | −2.37435 | − | 31.6836i | −0.114369 | − | 1.52614i | −0.699163 | − | 0.714962i | \(-0.746444\pi\) |
0.584795 | − | 0.811181i | \(-0.301175\pi\) | |||||||
\(432\) | 20.8090 | + | 11.0326i | 1.00117 | + | 0.530805i | ||||
\(433\) | 28.9119 | − | 13.9232i | 1.38942 | − | 0.669108i | 0.418432 | − | 0.908248i | \(-0.362580\pi\) |
0.970985 | + | 0.239140i | \(0.0768655\pi\) | |||||||
\(434\) | 52.3958 | − | 21.1326i | 2.51508 | − | 1.01440i | ||||
\(435\) | −0.0698332 | + | 1.84489i | −0.00334825 | + | 0.0884555i | ||||
\(436\) | −21.8619 | + | 10.5281i | −1.04700 | + | 0.504206i | ||||
\(437\) | −25.0374 | − | 23.2313i | −1.19770 | − | 1.11130i | ||||
\(438\) | 5.55332 | + | 4.78322i | 0.265348 | + | 0.228551i | ||||
\(439\) | 6.32728 | − | 16.1216i | 0.301985 | − | 0.769444i | −0.696660 | − | 0.717401i | \(-0.745332\pi\) |
0.998645 | − | 0.0520429i | \(-0.0165732\pi\) | |||||||
\(440\) | −1.25727 | −0.0599380 | ||||||||
\(441\) | 12.1379 | + | 17.1368i | 0.577997 | + | 0.816039i | ||||
\(442\) | −4.34849 | −0.206837 | ||||||||
\(443\) | −12.0810 | + | 30.7819i | −0.573986 | + | 1.46249i | 0.289032 | + | 0.957319i | \(0.406667\pi\) |
−0.863018 | + | 0.505173i | \(0.831429\pi\) | |||||||
\(444\) | 4.28520 | − | 1.49737i | 0.203367 | − | 0.0710620i | ||||
\(445\) | −0.478975 | − | 0.444424i | −0.0227056 | − | 0.0210677i | ||||
\(446\) | −38.8123 | + | 18.6910i | −1.83782 | + | 0.885046i | ||||
\(447\) | −16.0308 | + | 8.46364i | −0.758233 | + | 0.400317i | ||||
\(448\) | 8.00739 | + | 11.5114i | 0.378314 | + | 0.543863i | ||||
\(449\) | −6.37599 | + | 3.07051i | −0.300901 | + | 0.144906i | −0.578242 | − | 0.815865i | \(-0.696261\pi\) |
0.277341 | + | 0.960772i | \(0.410547\pi\) | |||||||
\(450\) | 3.68905 | + | 24.6203i | 0.173903 | + | 1.16061i | ||||
\(451\) | 1.83034 | + | 24.4242i | 0.0861874 | + | 1.15009i | ||||
\(452\) | 16.2059 | + | 20.3215i | 0.762259 | + | 0.955843i | ||||
\(453\) | −9.79536 | − | 4.27874i | −0.460226 | − | 0.201033i | ||||
\(454\) | 3.65880 | − | 9.32248i | 0.171716 | − | 0.437526i | ||||
\(455\) | 1.32367 | + | 0.289095i | 0.0620545 | + | 0.0135530i | ||||
\(456\) | 7.79332 | + | 2.09184i | 0.364955 | + | 0.0979594i | ||||
\(457\) | −1.06539 | − | 14.2167i | −0.0498369 | − | 0.665028i | −0.965051 | − | 0.262061i | \(-0.915598\pi\) |
0.915214 | − | 0.402967i | \(-0.132021\pi\) | |||||||
\(458\) | −35.0188 | + | 32.4927i | −1.63632 | + | 1.51829i | ||||
\(459\) | 3.49060 | + | 18.5808i | 0.162927 | + | 0.867277i | ||||
\(460\) | −3.08215 | + | 5.33845i | −0.143706 | + | 0.248906i | ||||
\(461\) | −14.9501 | − | 4.61149i | −0.696295 | − | 0.214779i | −0.0736513 | − | 0.997284i | \(-0.523465\pi\) |
−0.622644 | + | 0.782505i | \(0.713941\pi\) | |||||||
\(462\) | 21.7914 | + | 3.92177i | 1.01383 | + | 0.182457i | ||||
\(463\) | 14.2862 | − | 4.40670i | 0.663934 | − | 0.204797i | 0.0555704 | − | 0.998455i | \(-0.482302\pi\) |
0.608364 | + | 0.793658i | \(0.291826\pi\) | |||||||
\(464\) | −1.30735 | + | 5.72788i | −0.0606922 | + | 0.265910i | ||||
\(465\) | −15.3057 | − | 4.10827i | −0.709784 | − | 0.190517i | ||||
\(466\) | 34.5164 | − | 43.2822i | 1.59894 | − | 2.00501i | ||||
\(467\) | 17.2959 | + | 16.0483i | 0.800360 | + | 0.742625i | 0.970059 | − | 0.242871i | \(-0.0780891\pi\) |
−0.169699 | + | 0.985496i | \(0.554280\pi\) | |||||||
\(468\) | −3.13657 | + | 0.232314i | −0.144988 | + | 0.0107387i | ||||
\(469\) | 19.8578 | + | 21.0034i | 0.916948 | + | 0.969846i | ||||
\(470\) | −17.4416 | − | 5.38003i | −0.804523 | − | 0.248162i | ||||
\(471\) | −4.48091 | − | 10.2825i | −0.206469 | − | 0.473794i | ||||
\(472\) | 1.41755 | − | 2.45527i | 0.0652480 | − | 0.113013i | ||||
\(473\) | −1.41139 | − | 0.435355i | −0.0648956 | − | 0.0200176i | ||||
\(474\) | −0.679278 | + | 17.9455i | −0.0312003 | + | 0.824263i | ||||
\(475\) | 12.1176 | + | 30.8752i | 0.555995 | + | 1.41665i | ||||
\(476\) | −4.63168 | + | 15.5308i | −0.212292 | + | 0.711852i | ||||
\(477\) | −22.6756 | − | 1.71911i | −1.03825 | − | 0.0787128i | ||||
\(478\) | −12.5920 | − | 3.88412i | −0.575944 | − | 0.177655i | ||||
\(479\) | 6.64938 | + | 8.33806i | 0.303818 | + | 0.380976i | 0.910180 | − | 0.414213i | \(-0.135943\pi\) |
−0.606362 | + | 0.795189i | \(0.707372\pi\) | |||||||
\(480\) | 0.403260 | − | 10.6535i | 0.0184062 | − | 0.486264i | ||||
\(481\) | 0.604386 | − | 0.757876i | 0.0275576 | − | 0.0345562i | ||||
\(482\) | 32.4685 | + | 22.1366i | 1.47890 | + | 1.00830i | ||||
\(483\) | −13.1702 | + | 15.5836i | −0.599264 | + | 0.709077i | ||||
\(484\) | −6.48557 | + | 4.42179i | −0.294799 | + | 0.200990i | ||||
\(485\) | −0.423474 | + | 5.65087i | −0.0192290 | + | 0.256593i | ||||
\(486\) | 7.68066 | + | 28.9157i | 0.348402 | + | 1.31164i | ||||
\(487\) | −32.7171 | − | 22.3061i | −1.48255 | − | 1.01079i | −0.990087 | − | 0.140457i | \(-0.955143\pi\) |
−0.492467 | − | 0.870331i | \(-0.663905\pi\) | |||||||
\(488\) | 1.60642 | − | 4.09308i | 0.0727190 | − | 0.185285i | ||||
\(489\) | −2.86299 | − | 6.56983i | −0.129469 | − | 0.297098i | ||||
\(490\) | 5.34380 | − | 9.66985i | 0.241408 | − | 0.436839i | ||||
\(491\) | 4.35409 | + | 7.54150i | 0.196497 | + | 0.340343i | 0.947390 | − | 0.320081i | \(-0.103710\pi\) |
−0.750893 | + | 0.660424i | \(0.770377\pi\) | |||||||
\(492\) | −28.3511 | + | 1.04849i | −1.27817 | + | 0.0472697i | ||||
\(493\) | −4.24899 | + | 2.04620i | −0.191365 | + | 0.0921564i | ||||
\(494\) | −8.76090 | + | 2.70238i | −0.394172 | + | 0.121586i | ||||
\(495\) | −4.22040 | − | 4.55644i | −0.189693 | − | 0.204797i | ||||
\(496\) | −45.4371 | − | 21.8813i | −2.04019 | − | 0.982501i | ||||
\(497\) | −10.0476 | − | 5.67610i | −0.450695 | − | 0.254608i | ||||
\(498\) | 4.44379 | − | 23.4303i | 0.199131 | − | 1.04993i | ||||
\(499\) | −14.0226 | + | 17.5838i | −0.627739 | + | 0.787160i | −0.989410 | − | 0.145146i | \(-0.953635\pi\) |
0.361671 | + | 0.932306i | \(0.382206\pi\) | |||||||
\(500\) | 10.6656 | − | 7.27169i | 0.476980 | − | 0.325200i | ||||
\(501\) | 16.0048 | + | 25.4960i | 0.715040 | + | 1.13908i | ||||
\(502\) | −24.4393 | + | 22.6763i | −1.09078 | + | 1.01209i | ||||
\(503\) | 2.08446 | + | 2.61383i | 0.0929413 | + | 0.116545i | 0.826128 | − | 0.563483i | \(-0.190539\pi\) |
−0.733186 | + | 0.680028i | \(0.761968\pi\) | |||||||
\(504\) | 1.03263 | − | 4.70844i | 0.0459971 | − | 0.209731i | ||||
\(505\) | −7.48594 | + | 9.38707i | −0.333120 | + | 0.417719i | ||||
\(506\) | 1.60763 | + | 21.4523i | 0.0714679 | + | 0.953673i | ||||
\(507\) | 17.5821 | − | 12.9644i | 0.780848 | − | 0.575768i | ||||
\(508\) | 11.1566 | − | 19.3238i | 0.494995 | − | 0.857357i | ||||
\(509\) | 18.4683 | 0.818592 | 0.409296 | − | 0.912402i | \(-0.365774\pi\) | ||||
0.409296 | + | 0.912402i | \(0.365774\pi\) | |||||||
\(510\) | 8.00544 | − | 5.90291i | 0.354487 | − | 0.261385i | ||||
\(511\) | 2.48162 | − | 5.27913i | 0.109780 | − | 0.233535i | ||||
\(512\) | 6.32437 | − | 27.7089i | 0.279500 | − | 1.22457i | ||||
\(513\) | 18.5796 | + | 35.2655i | 0.820309 | + | 1.55701i | ||||
\(514\) | 20.3274 | + | 3.06387i | 0.896604 | + | 0.135141i | ||||
\(515\) | 3.41692 | − | 4.28469i | 0.150568 | − | 0.188806i | ||||
\(516\) | 0.565760 | − | 1.61460i | 0.0249062 | − | 0.0710788i | ||||
\(517\) | −27.8200 | + | 8.58132i | −1.22352 | + | 0.377406i | ||||
\(518\) | −4.51381 | − | 6.48905i | −0.198325 | − | 0.285112i | ||||
\(519\) | −0.0769921 | − | 0.686002i | −0.00337958 | − | 0.0301121i | ||||
\(520\) | −0.155499 | − | 0.269332i | −0.00681907 | − | 0.0118110i | ||||
\(521\) | 12.1032 | + | 20.9633i | 0.530250 | + | 0.918420i | 0.999377 | + | 0.0352897i | \(0.0112354\pi\) |
−0.469127 | + | 0.883131i | \(0.655431\pi\) | |||||||
\(522\) | −6.46645 | + | 3.72592i | −0.283029 | + | 0.163079i | ||||
\(523\) | −20.3041 | + | 13.8431i | −0.887837 | + | 0.605317i | −0.919026 | − | 0.394197i | \(-0.871023\pi\) |
0.0311895 | + | 0.999513i | \(0.490070\pi\) | |||||||
\(524\) | 0.635458 | + | 1.61912i | 0.0277601 | + | 0.0707316i | ||||
\(525\) | 18.0891 | − | 8.08538i | 0.789473 | − | 0.352875i | ||||
\(526\) | 3.58061 | − | 9.12324i | 0.156122 | − | 0.397792i | ||||
\(527\) | −9.00795 | − | 39.4664i | −0.392392 | − | 1.71918i | ||||
\(528\) | −10.5080 | − | 16.7395i | −0.457302 | − | 0.728494i | ||||
\(529\) | 2.86160 | + | 1.37807i | 0.124417 | + | 0.0599162i | ||||
\(530\) | 4.37093 | + | 11.1370i | 0.189861 | + | 0.483758i | ||||
\(531\) | 13.6565 | − | 3.10453i | 0.592642 | − | 0.134725i | ||||
\(532\) | 0.320206 | + | 34.1682i | 0.0138827 | + | 1.48138i | ||||
\(533\) | −5.00577 | + | 3.41287i | −0.216824 | + | 0.147828i | ||||
\(534\) | 0.492173 | − | 2.59503i | 0.0212984 | − | 0.112298i | ||||
\(535\) | 8.02946 | + | 7.45025i | 0.347144 | + | 0.322102i | ||||
\(536\) | 0.495817 | − | 6.61622i | 0.0214160 | − | 0.285777i | ||||
\(537\) | 1.71905 | + | 2.73849i | 0.0741826 | + | 0.118175i | ||||
\(538\) | −14.0321 | + | 24.3043i | −0.604967 | + | 1.04783i | ||||
\(539\) | −1.64602 | − | 17.5452i | −0.0708989 | − | 0.755723i | ||||
\(540\) | 5.45898 | − | 4.68546i | 0.234917 | − | 0.201630i | ||||
\(541\) | −39.1474 | + | 5.90052i | −1.68308 | + | 0.253683i | −0.919801 | − | 0.392386i | \(-0.871650\pi\) |
−0.763279 | + | 0.646070i | \(0.776412\pi\) | |||||||
\(542\) | 3.66751 | − | 1.76618i | 0.157533 | − | 0.0758639i | ||||
\(543\) | 13.8139 | + | 16.0661i | 0.592810 | + | 0.689463i | ||||
\(544\) | 24.5363 | − | 11.8161i | 1.05198 | − | 0.506609i | ||||
\(545\) | −0.885727 | − | 11.8192i | −0.0379404 | − | 0.506279i | ||||
\(546\) | 1.85503 | + | 5.15318i | 0.0793880 | + | 0.220536i | ||||
\(547\) | 0.260957 | − | 3.48223i | 0.0111577 | − | 0.148890i | −0.988842 | − | 0.148966i | \(-0.952405\pi\) |
1.00000 | 7.67548e-5i | \(2.44318e-5\pi\) | ||||||||
\(548\) | 0.531796 | + | 1.35499i | 0.0227172 | + | 0.0578824i | ||||
\(549\) | 20.2261 | − | 7.91787i | 0.863227 | − | 0.337927i | ||||
\(550\) | 7.63228 | − | 19.4467i | 0.325441 | − | 0.829211i | ||||
\(551\) | −7.28881 | + | 6.76302i | −0.310514 | + | 0.288115i | ||||
\(552\) | 4.68022 | − | 0.173086i | 0.199203 | − | 0.00736702i | ||||
\(553\) | 13.9041 | − | 3.31090i | 0.591263 | − | 0.140794i | ||||
\(554\) | 12.3258 | + | 1.85781i | 0.523672 | + | 0.0789308i | ||||
\(555\) | −0.0838678 | + | 2.21566i | −0.00355999 | + | 0.0940494i | ||||
\(556\) | −7.69198 | − | 33.7008i | −0.326213 | − | 1.42923i | ||||
\(557\) | 6.56443 | + | 11.3699i | 0.278144 | + | 0.481759i | 0.970923 | − | 0.239390i | \(-0.0769475\pi\) |
−0.692780 | + | 0.721149i | \(0.743614\pi\) | |||||||
\(558\) | −18.8293 | − | 61.2318i | −0.797106 | − | 2.59215i | ||||
\(559\) | −0.0812983 | − | 0.356191i | −0.00343855 | − | 0.0150653i | ||||
\(560\) | −9.59379 | + | 2.28451i | −0.405412 | + | 0.0965384i | ||||
\(561\) | 5.24634 | − | 14.9723i | 0.221501 | − | 0.632131i | ||||
\(562\) | −0.171615 | + | 0.751896i | −0.00723915 | + | 0.0317168i | ||||
\(563\) | −9.09178 | − | 23.1655i | −0.383173 | − | 0.976309i | −0.984197 | − | 0.177078i | \(-0.943336\pi\) |
0.601024 | − | 0.799231i | \(-0.294760\pi\) | |||||||
\(564\) | −8.71395 | − | 32.5775i | −0.366923 | − | 1.37176i | ||||
\(565\) | −12.1320 | + | 3.74223i | −0.510397 | + | 0.157437i | ||||
\(566\) | 2.90183 | − | 12.7138i | 0.121973 | − | 0.534399i | ||||
\(567\) | 20.5301 | − | 12.0630i | 0.862183 | − | 0.506596i | ||||
\(568\) | 0.589436 | + | 2.58249i | 0.0247322 | + | 0.108359i | ||||
\(569\) | −18.1165 | − | 31.3787i | −0.759484 | − | 1.31547i | −0.943114 | − | 0.332470i | \(-0.892118\pi\) |
0.183630 | − | 0.982995i | \(-0.441215\pi\) | |||||||
\(570\) | 12.4602 | − | 16.8676i | 0.521899 | − | 0.706506i | ||||
\(571\) | −4.37721 | − | 1.35019i | −0.183180 | − | 0.0565036i | 0.201808 | − | 0.979425i | \(-0.435318\pi\) |
−0.384988 | + | 0.922921i | \(0.625795\pi\) | |||||||
\(572\) | 2.37790 | + | 1.14514i | 0.0994251 | + | 0.0478806i | ||||
\(573\) | 31.6854 | − | 31.6579i | 1.32368 | − | 1.32253i | ||||
\(574\) | 15.0037 | + | 47.0702i | 0.626243 | + | 1.96467i | ||||
\(575\) | 12.0028 | + | 15.0510i | 0.500552 | + | 0.627672i | ||||
\(576\) | 13.7767 | − | 7.93806i | 0.574031 | − | 0.330752i | ||||
\(577\) | −1.18160 | + | 3.01066i | −0.0491905 | + | 0.125335i | −0.953357 | − | 0.301844i | \(-0.902398\pi\) |
0.904167 | + | 0.427180i | \(0.140493\pi\) | |||||||
\(578\) | −6.50495 | − | 3.13262i | −0.270570 | − | 0.130300i | ||||
\(579\) | 15.2527 | + | 4.09405i | 0.633880 | + | 0.170143i | ||||
\(580\) | 1.48271 | + | 1.01090i | 0.0615663 | + | 0.0419752i | ||||
\(581\) | −18.9132 | + | 1.59571i | −0.784650 | + | 0.0662012i | ||||
\(582\) | −20.2571 | + | 10.6949i | −0.839683 | + | 0.443319i | ||||
\(583\) | 15.7670 | + | 10.7498i | 0.653004 | + | 0.445211i | ||||
\(584\) | −1.27950 | + | 0.394672i | −0.0529459 | + | 0.0163317i | ||||
\(585\) | 0.454101 | − | 1.46763i | 0.0187748 | − | 0.0606791i | ||||
\(586\) | 27.3668 | − | 4.12489i | 1.13051 | − | 0.170397i | ||||
\(587\) | −20.5831 | + | 35.6509i | −0.849554 | + | 1.47147i | 0.0320535 | + | 0.999486i | \(0.489795\pi\) |
−0.881607 | + | 0.471984i | \(0.843538\pi\) | |||||||
\(588\) | 20.3806 | − | 1.13654i | 0.840481 | − | 0.0468699i | ||||
\(589\) | −42.6748 | − | 73.9149i | −1.75838 | − | 3.04561i | ||||
\(590\) | −4.59390 | − | 5.76057i | −0.189128 | − | 0.237159i | ||||
\(591\) | −2.94375 | + | 15.5212i | −0.121090 | + | 0.638456i | ||||
\(592\) | −1.57009 | + | 6.87902i | −0.0645304 | + | 0.282726i | ||||
\(593\) | −0.488034 | + | 6.51236i | −0.0200412 | + | 0.267431i | 0.978178 | + | 0.207771i | \(0.0666208\pi\) |
−0.998219 | + | 0.0596602i | \(0.980998\pi\) | |||||||
\(594\) | 6.52952 | − | 24.2421i | 0.267909 | − | 0.994665i | ||||
\(595\) | −6.23518 | − | 4.87750i | −0.255617 | − | 0.199958i | ||||
\(596\) | −1.31678 | + | 17.5713i | −0.0539376 | + | 0.719747i | ||||
\(597\) | −4.04353 | + | 4.04002i | −0.165491 | + | 0.165347i | ||||
\(598\) | −4.39668 | + | 2.99760i | −0.179794 | + | 0.122581i | ||||
\(599\) | −12.4003 | + | 1.86905i | −0.506664 | + | 0.0763673i | −0.397400 | − | 0.917645i | \(-0.630087\pi\) |
−0.109264 | + | 0.994013i | \(0.534849\pi\) | |||||||
\(600\) | −4.16781 | − | 1.82055i | −0.170150 | − | 0.0743237i | ||||
\(601\) | −7.07352 | + | 1.06616i | −0.288535 | + | 0.0434897i | −0.291715 | − | 0.956505i | \(-0.594226\pi\) |
0.00317994 | + | 0.999995i | \(0.498988\pi\) | |||||||
\(602\) | −2.97285 | − | 0.194788i | −0.121165 | − | 0.00793896i | ||||
\(603\) | 25.6420 | − | 20.4124i | 1.04422 | − | 0.831258i | ||||
\(604\) | −8.58455 | + | 5.85285i | −0.349300 | + | 0.238149i | ||||
\(605\) | −0.853178 | − | 3.73802i | −0.0346866 | − | 0.151972i | ||||
\(606\) | −48.2273 | − | 5.45513i | −1.95910 | − | 0.221599i | ||||
\(607\) | −3.78474 | −0.153618 | −0.0768089 | − | 0.997046i | \(-0.524473\pi\) | ||||
−0.0768089 | + | 0.997046i | \(0.524473\pi\) | |||||||
\(608\) | 42.0901 | − | 39.0539i | 1.70698 | − | 1.58385i | ||||
\(609\) | 4.23743 | + | 4.16236i | 0.171710 | + | 0.168668i | ||||
\(610\) | −8.37681 | − | 7.77254i | −0.339167 | − | 0.314701i | ||||
\(611\) | −5.27905 | − | 4.89824i | −0.213568 | − | 0.198162i | ||||
\(612\) | 17.1005 | + | 6.72861i | 0.691248 | + | 0.271988i | ||||
\(613\) | 2.01350 | + | 0.303487i | 0.0813246 | + | 0.0122577i | 0.189578 | − | 0.981866i | \(-0.439288\pi\) |
−0.108254 | + | 0.994123i | \(0.534526\pi\) | |||||||
\(614\) | 21.6004 | − | 6.66283i | 0.871720 | − | 0.268890i | ||||
\(615\) | 4.58261 | − | 13.0781i | 0.184789 | − | 0.527361i | ||||
\(616\) | −2.72340 | + | 2.99085i | −0.109729 | + | 0.120505i | ||||
\(617\) | −22.7072 | + | 21.0692i | −0.914158 | + | 0.848215i | −0.988838 | − | 0.148993i | \(-0.952397\pi\) |
0.0746804 | + | 0.997208i | \(0.476206\pi\) | |||||||
\(618\) | 22.0132 | + | 2.48997i | 0.885499 | + | 0.100161i | ||||
\(619\) | 5.58217 | 0.224367 | 0.112183 | − | 0.993688i | \(-0.464216\pi\) | ||||
0.112183 | + | 0.993688i | \(0.464216\pi\) | |||||||
\(620\) | −11.2919 | + | 10.4773i | −0.453492 | + | 0.420779i | ||||
\(621\) | 16.3378 | + | 16.3805i | 0.655615 | + | 0.657325i | ||||
\(622\) | −11.8514 | + | 14.8612i | −0.475200 | + | 0.595882i | ||||
\(623\) | −2.09473 | + | 0.176733i | −0.0839238 | + | 0.00708068i | ||||
\(624\) | 2.28630 | − | 4.32135i | 0.0915254 | − | 0.172993i | ||||
\(625\) | −3.40755 | − | 14.9294i | −0.136302 | − | 0.597177i | ||||
\(626\) | 27.5556 | − | 4.15335i | 1.10135 | − | 0.166001i | ||||
\(627\) | 1.26522 | − | 33.4250i | 0.0505278 | − | 1.33487i | ||||
\(628\) | −10.7808 | − | 1.62494i | −0.430199 | − | 0.0648421i | ||||
\(629\) | −5.10292 | + | 2.45743i | −0.203467 | + | 0.0979843i | ||||
\(630\) | −10.4103 | − | 6.96871i | −0.414756 | − | 0.277640i | ||||
\(631\) | 23.2617 | + | 11.2023i | 0.926035 | + | 0.445955i | 0.835222 | − | 0.549913i | \(-0.185339\pi\) |
0.0908128 | + | 0.995868i | \(0.471054\pi\) | |||||||
\(632\) | −2.71072 | − | 1.84814i | −0.107827 | − | 0.0735149i | ||||
\(633\) | −2.06910 | + | 5.90492i | −0.0822393 | + | 0.234699i | ||||
\(634\) | −0.670127 | + | 8.94223i | −0.0266142 | + | 0.355141i | ||||
\(635\) | 6.79545 | + | 8.52123i | 0.269669 | + | 0.338155i | ||||
\(636\) | −13.1337 | + | 17.7793i | −0.520784 | + | 0.704995i | ||||
\(637\) | 3.55493 | − | 2.52259i | 0.140852 | − | 0.0999485i | ||||
\(638\) | 6.26265 | 0.247941 | ||||||||
\(639\) | −7.38051 | + | 10.8050i | −0.291969 | + | 0.427441i | ||||
\(640\) | 3.25981 | + | 2.22250i | 0.128855 | + | 0.0878520i | ||||
\(641\) | 6.64000 | − | 29.0917i | 0.262264 | − | 1.14905i | −0.656525 | − | 0.754304i | \(-0.727974\pi\) |
0.918789 | − | 0.394749i | \(-0.129169\pi\) | |||||||
\(642\) | −8.25071 | + | 43.5026i | −0.325629 | + | 1.71691i | ||||
\(643\) | 2.57420 | + | 34.3503i | 0.101517 | + | 1.35465i | 0.782639 | + | 0.622476i | \(0.213873\pi\) |
−0.681122 | + | 0.732170i | \(0.738508\pi\) | |||||||
\(644\) | 6.02304 | + | 18.8957i | 0.237341 | + | 0.744594i | ||||
\(645\) | 0.633183 | + | 0.545377i | 0.0249316 | + | 0.0214742i | ||||
\(646\) | 52.9701 | + | 7.98396i | 2.08408 | + | 0.314125i | ||||
\(647\) | −2.68049 | − | 35.7686i | −0.105381 | − | 1.40621i | −0.759839 | − | 0.650111i | \(-0.774722\pi\) |
0.654459 | − | 0.756098i | \(-0.272897\pi\) | |||||||
\(648\) | −5.22013 | − | 1.62013i | −0.205066 | − | 0.0636449i | ||||
\(649\) | −11.2301 | − | 3.46404i | −0.440822 | − | 0.135976i | ||||
\(650\) | 5.10983 | − | 0.770182i | 0.200424 | − | 0.0302090i | ||||
\(651\) | −42.9269 | + | 27.5109i | −1.68244 | + | 1.07824i | ||||
\(652\) | −6.88816 | − | 1.03822i | −0.269761 | − | 0.0406599i | ||||
\(653\) | 8.58027 | + | 4.13204i | 0.335772 | + | 0.161699i | 0.594170 | − | 0.804339i | \(-0.297480\pi\) |
−0.258398 | + | 0.966038i | \(0.583195\pi\) | |||||||
\(654\) | 38.5620 | − | 28.4342i | 1.50789 | − | 1.11186i | ||||
\(655\) | −0.849600 | −0.0331966 | ||||||||
\(656\) | 22.0498 | − | 38.1913i | 0.860899 | − | 1.49112i | ||||
\(657\) | −5.72533 | − | 3.31216i | −0.223367 | − | 0.129220i | ||||
\(658\) | −50.5790 | + | 29.8372i | −1.97177 | + | 1.16318i | ||||
\(659\) | 16.1649 | + | 14.9989i | 0.629697 | + | 0.584273i | 0.929089 | − | 0.369857i | \(-0.120593\pi\) |
−0.299392 | + | 0.954130i | \(0.596784\pi\) | |||||||
\(660\) | −5.93212 | + | 1.11975i | −0.230908 | + | 0.0435862i | ||||
\(661\) | 13.5602 | + | 34.5509i | 0.527432 | + | 1.34387i | 0.907941 | + | 0.419097i | \(0.137653\pi\) |
−0.380510 | + | 0.924777i | \(0.624251\pi\) | |||||||
\(662\) | 10.2190 | + | 26.0375i | 0.397171 | + | 1.01198i | ||||
\(663\) | 3.85622 | − | 0.727902i | 0.149763 | − | 0.0282694i | ||||
\(664\) | 3.19373 | + | 2.96335i | 0.123941 | + | 0.115000i | ||||
\(665\) | −15.5931 | − | 5.95183i | −0.604676 | − | 0.230802i | ||||
\(666\) | −7.76603 | + | 4.47473i | −0.300927 | + | 0.173392i | ||||
\(667\) | −2.88553 | + | 4.99789i | −0.111728 | + | 0.193519i | ||||
\(668\) | 29.2606 | 1.13213 | ||||||||
\(669\) | 31.2899 | − | 23.0720i | 1.20974 | − | 0.892015i | ||||
\(670\) | −15.5353 | − | 7.48141i | −0.600182 | − | 0.289032i | ||||
\(671\) | −18.0233 | − | 2.71658i | −0.695783 | − | 0.104872i | ||||
\(672\) | −24.4696 | − | 24.0361i | −0.943935 | − | 0.927212i | ||||
\(673\) | −28.1303 | + | 4.23997i | −1.08434 | + | 0.163439i | −0.666814 | − | 0.745224i | \(-0.732342\pi\) |
−0.417531 | + | 0.908663i | \(0.637104\pi\) | |||||||
\(674\) | −37.6551 | − | 11.6151i | −1.45042 | − | 0.447396i | ||||
\(675\) | −7.39267 | − | 21.2157i | −0.284544 | − | 0.816592i | ||||
\(676\) | −1.58679 | − | 21.1742i | −0.0610303 | − | 0.814393i | ||||
\(677\) | 17.5127 | + | 2.63961i | 0.673068 | + | 0.101449i | 0.476679 | − | 0.879078i | \(-0.341840\pi\) |
0.196389 | + | 0.980526i | \(0.437079\pi\) | |||||||
\(678\) | −38.8863 | − | 33.4938i | −1.49342 | − | 1.28632i | ||||
\(679\) | 12.5253 | + | 13.2478i | 0.480675 | + | 0.508405i | ||||
\(680\) | 0.135793 | + | 1.81203i | 0.00520740 | + | 0.0694880i | ||||
\(681\) | −1.68410 | + | 8.87959i | −0.0645350 | + | 0.340267i | ||||
\(682\) | −11.9621 | + | 52.4095i | −0.458054 | + | 2.00686i | ||||
\(683\) | 15.4548 | + | 10.5369i | 0.591362 | + | 0.403184i | 0.821695 | − | 0.569928i | \(-0.193029\pi\) |
−0.230332 | + | 0.973112i | \(0.573981\pi\) | |||||||
\(684\) | 38.6339 | + | 2.92896i | 1.47721 | + | 0.111992i | ||||
\(685\) | −0.711005 | −0.0271661 | ||||||||
\(686\) | −11.4278 | − | 33.6582i | −0.436315 | − | 1.28507i | ||||
\(687\) | 25.6155 | − | 34.6763i | 0.977293 | − | 1.32298i | ||||
\(688\) | 1.65809 | + | 2.07918i | 0.0632143 | + | 0.0792682i | ||||
\(689\) | −0.352751 | + | 4.70714i | −0.0134388 | + | 0.179328i | ||||
\(690\) | 4.02501 | − | 11.4868i | 0.153230 | − | 0.437296i | ||||
\(691\) | −10.2446 | − | 6.98465i | −0.389723 | − | 0.265709i | 0.352568 | − | 0.935786i | \(-0.385309\pi\) |
−0.742291 | + | 0.670077i | \(0.766261\pi\) | |||||||
\(692\) | −0.604539 | − | 0.291131i | −0.0229811 | − | 0.0110671i | ||||
\(693\) | −19.9810 | + | 0.169892i | −0.759014 | + | 0.00645366i | ||||
\(694\) | 34.9246 | − | 16.8188i | 1.32572 | − | 0.638433i | ||||
\(695\) | 16.6961 | + | 2.51653i | 0.633320 | + | 0.0954576i | ||||
\(696\) | 0.0515718 | − | 1.36245i | 0.00195482 | − | 0.0516434i | ||||
\(697\) | 35.0034 | − | 5.27592i | 1.32585 | − | 0.199840i | ||||
\(698\) | −1.98144 | − | 8.68127i | −0.0749987 | − | 0.328591i | ||||
\(699\) | −23.3639 | + | 44.1602i | −0.883704 | + | 1.67029i | ||||
\(700\) | 2.69186 | − | 19.0702i | 0.101743 | − | 0.720787i | ||||
\(701\) | 22.8647 | − | 28.6715i | 0.863589 | − | 1.08291i | −0.132199 | − | 0.991223i | \(-0.542204\pi\) |
0.995788 | − | 0.0916829i | \(-0.0292246\pi\) | |||||||
\(702\) | 6.00070 | − | 1.59950i | 0.226482 | − | 0.0603694i | ||||
\(703\) | −8.75366 | + | 8.12221i | −0.330150 | + | 0.306335i | ||||
\(704\) | −13.3426 | −0.502866 | ||||||||
\(705\) | 16.3677 | + | 1.85140i | 0.616445 | + | 0.0697278i | ||||
\(706\) | 5.91324 | − | 5.48668i | 0.222548 | − | 0.206494i | ||||
\(707\) | 6.11497 | + | 38.1414i | 0.229977 | + | 1.43446i | ||||
\(708\) | 4.50165 | − | 12.8471i | 0.169182 | − | 0.482823i | ||||
\(709\) | −19.7683 | + | 6.09773i | −0.742416 | + | 0.229005i | −0.642814 | − | 0.766022i | \(-0.722233\pi\) |
−0.0996018 | + | 0.995027i | \(0.531757\pi\) | |||||||
\(710\) | 6.80726 | + | 1.02603i | 0.255472 | + | 0.0385062i | ||||
\(711\) | −2.40154 | − | 16.0277i | −0.0900650 | − | 0.601085i | ||||
\(712\) | 0.353723 | + | 0.328207i | 0.0132563 | + | 0.0123001i | ||||
\(713\) | −36.3136 | − | 33.6941i | −1.35996 | − | 1.26186i | ||||
\(714\) | 3.29861 | − | 31.8301i | 0.123447 | − | 1.19121i | ||||
\(715\) | −0.945029 | + | 0.876858i | −0.0353421 | + | 0.0327926i | ||||
\(716\) | 3.14284 | 0.117454 | ||||||||
\(717\) | 11.8167 | + | 1.33662i | 0.441303 | + | 0.0499170i | ||||
\(718\) | 13.4219 | + | 58.8052i | 0.500901 | + | 2.19459i | ||||
\(719\) | 19.0149 | − | 12.9641i | 0.709135 | − | 0.483480i | −0.154246 | − | 0.988032i | \(-0.549295\pi\) |
0.863381 | + | 0.504553i | \(0.168343\pi\) | |||||||
\(720\) | 1.65706 | + | 11.0590i | 0.0617549 | + | 0.412146i | ||||
\(721\) | −2.79115 | − | 17.4095i | −0.103948 | − | 0.648363i | ||||
\(722\) | 75.6217 | − | 11.3981i | 2.81435 | − | 0.424195i | ||||
\(723\) | −32.4984 | − | 14.1957i | −1.20863 | − | 0.527944i | ||||
\(724\) | 20.3652 | − | 3.06956i | 0.756867 | − | 0.114079i | ||||
\(725\) | 4.63048 | − | 3.15701i | 0.171972 | − | 0.117248i | ||||
\(726\) | 10.9643 | − | 10.9547i | 0.406922 | − | 0.406569i | ||||
\(727\) | −2.37346 | + | 31.6717i | −0.0880269 | + | 1.17464i | 0.761885 | + | 0.647713i | \(0.224274\pi\) |
−0.849912 | + | 0.526925i | \(0.823345\pi\) | |||||||
\(728\) | −0.977527 | − | 0.213497i | −0.0362296 | − | 0.00791272i | ||||
\(729\) | −11.6514 | − | 24.3566i | −0.431534 | − | 0.902097i | ||||
\(730\) | −0.260049 | + | 3.47011i | −0.00962484 | + | 0.128435i | ||||
\(731\) | −0.475012 | + | 2.08117i | −0.0175690 | + | 0.0769747i | ||||
\(732\) | 3.93411 | − | 20.7429i | 0.145409 | − | 0.766681i | ||||
\(733\) | 0.535197 | + | 0.671116i | 0.0197680 | + | 0.0247882i | 0.791617 | − | 0.611017i | \(-0.209239\pi\) |
−0.771849 | + | 0.635806i | \(0.780668\pi\) | |||||||
\(734\) | 18.5277 | + | 32.0909i | 0.683869 | + | 1.18450i | ||||
\(735\) | −3.12021 | + | 9.46969i | −0.115091 | + | 0.349295i | ||||
\(736\) | 16.6629 | − | 28.8609i | 0.614201 | − | 1.06383i | ||||
\(737\) | −27.1958 | + | 4.09910i | −1.00177 | + | 0.150992i | ||||
\(738\) | 54.6247 | − | 12.4178i | 2.01076 | − | 0.457106i | ||||
\(739\) | −28.1315 | + | 8.67742i | −1.03483 | + | 0.319204i | −0.765223 | − | 0.643765i | \(-0.777371\pi\) |
−0.269611 | + | 0.962969i | \(0.586895\pi\) | |||||||
\(740\) | 1.78070 | + | 1.21406i | 0.0654598 | + | 0.0446297i | ||||
\(741\) | 7.31677 | − | 3.86296i | 0.268788 | − | 0.141909i | ||||
\(742\) | 35.9611 | + | 13.7262i | 1.32017 | + | 0.503904i | ||||
\(743\) | −12.4003 | − | 8.45439i | −0.454924 | − | 0.310162i | 0.314091 | − | 0.949393i | \(-0.398300\pi\) |
−0.769015 | + | 0.639231i | \(0.779253\pi\) | |||||||
\(744\) | 11.3032 | + | 3.03396i | 0.414397 | + | 0.111230i | ||||
\(745\) | −7.75452 | − | 3.73438i | −0.284104 | − | 0.136817i | ||||
\(746\) | −21.1013 | + | 53.7652i | −0.772573 | + | 1.96848i | ||||
\(747\) | −0.0186959 | + | 21.5217i | −0.000684046 | + | 0.787438i | ||||
\(748\) | −9.61473 | − | 12.0565i | −0.351549 | − | 0.440829i | ||||
\(749\) | 35.1158 | − | 2.96273i | 1.28310 | − | 0.108256i | ||||
\(750\) | −18.0309 | + | 18.0152i | −0.658395 | + | 0.657823i | ||||
\(751\) | −33.4031 | − | 16.0861i | −1.21890 | − | 0.586990i | −0.289893 | − | 0.957059i | \(-0.593620\pi\) |
−0.929004 | + | 0.370069i | \(0.879334\pi\) | |||||||
\(752\) | 50.0904 | + | 15.4508i | 1.82661 | + | 0.563434i | ||||
\(753\) | 17.8768 | − | 24.2002i | 0.651467 | − | 0.881904i | ||||
\(754\) | 0.774563 | + | 1.34158i | 0.0282079 | + | 0.0488575i | ||||
\(755\) | −1.12930 | − | 4.94778i | −0.0410994 | − | 0.180068i | ||||
\(756\) | 0.678796 | − | 23.1353i | 0.0246876 | − | 0.841424i | ||||
\(757\) | −4.63433 | + | 20.3043i | −0.168437 | + | 0.737973i | 0.818186 | + | 0.574954i | \(0.194980\pi\) |
−0.986623 | + | 0.163018i | \(0.947877\pi\) | |||||||
\(758\) | −30.0782 | + | 9.27789i | −1.09249 | + | 0.336988i | ||||
\(759\) | −5.01659 | − | 18.7547i | −0.182091 | − | 0.680754i | ||||
\(760\) | 1.39967 | + | 3.56630i | 0.0507713 | + | 0.129363i | ||||
\(761\) | −11.6664 | + | 51.1139i | −0.422907 | + | 1.85288i | 0.0921863 | + | 0.995742i | \(0.470614\pi\) |
−0.515093 | + | 0.857134i | \(0.672243\pi\) | |||||||
\(762\) | −14.5695 | + | 41.5794i | −0.527799 | + | 1.50626i | ||||
\(763\) | −30.0347 | − | 23.4948i | −1.08733 | − | 0.850569i | ||||
\(764\) | −9.68787 | − | 42.4453i | −0.350495 | − | 1.53562i | ||||
\(765\) | −6.11109 | + | 6.57472i | −0.220947 | + | 0.237710i | ||||
\(766\) | 3.02108 | + | 5.23266i | 0.109156 | + | 0.189064i | ||||
\(767\) | −0.646876 | − | 2.83415i | −0.0233573 | − | 0.102335i | ||||
\(768\) | −1.29772 | + | 34.2839i | −0.0468276 | + | 1.23711i | ||||
\(769\) | −26.2980 | − | 3.96378i | −0.948330 | − | 0.142938i | −0.343376 | − | 0.939198i | \(-0.611570\pi\) |
−0.604954 | + | 0.796260i | \(0.706808\pi\) | |||||||
\(770\) | 4.64973 | + | 9.42823i | 0.167565 | + | 0.339770i | ||||
\(771\) | −18.5391 | + | 0.685622i | −0.667671 | + | 0.0246921i | ||||
\(772\) | 11.2528 | − | 10.4410i | 0.404996 | − | 0.375781i | ||||
\(773\) | −3.13427 | + | 7.98599i | −0.112732 | + | 0.287236i | −0.976094 | − | 0.217349i | \(-0.930259\pi\) |
0.863362 | + | 0.504585i | \(0.168354\pi\) | |||||||
\(774\) | −0.506385 | + | 3.33996i | −0.0182017 | + | 0.120052i | ||||
\(775\) | 17.5751 | + | 44.7807i | 0.631317 | + | 1.60857i | ||||
\(776\) | 0.312735 | − | 4.17316i | 0.0112265 | − | 0.149808i | ||||
\(777\) | 5.08904 | + | 4.99889i | 0.182568 | + | 0.179334i | ||||
\(778\) | −0.563392 | − | 7.51794i | −0.0201986 | − | 0.269531i | ||||
\(779\) | 67.2426 | − | 32.3823i | 2.40922 | − | 1.16022i | ||||
\(780\) | −0.973555 | − | 1.13229i | −0.0348589 | − | 0.0405423i | ||||
\(781\) | 9.89302 | − | 4.76423i | 0.354000 | − | 0.170478i | ||||
\(782\) | 30.7443 | − | 4.63396i | 1.09941 | − | 0.165710i | ||||
\(783\) | 5.11073 | − | 4.38656i | 0.182643 | − | 0.156763i | ||||
\(784\) | −15.3468 | + | 27.7707i | −0.548099 | + | 0.991811i | ||||
\(785\) | 2.66271 | − | 4.61195i | 0.0950361 | − | 0.164607i | ||||
\(786\) | −1.82595 | − | 2.90879i | −0.0651296 | − | 0.103753i | ||||
\(787\) | 3.54924 | − | 47.3613i | 0.126517 | − | 1.68825i | −0.467655 | − | 0.883911i | \(-0.654901\pi\) |
0.594171 | − | 0.804338i | \(-0.297480\pi\) | |||||||
\(788\) | 11.2565 | + | 10.4445i | 0.400997 | + | 0.372071i | ||||
\(789\) | −1.64811 | + | 8.68981i | −0.0586743 | + | 0.309365i | ||||
\(790\) | −7.04480 | + | 4.80306i | −0.250643 | + | 0.170885i | ||||
\(791\) | −17.3772 | + | 36.9663i | −0.617862 | + | 1.31437i | ||||
\(792\) | 3.11676 | + | 3.36493i | 0.110749 | + | 0.119568i | ||||
\(793\) | −1.64718 | − | 4.19694i | −0.0584929 | − | 0.149038i | ||||
\(794\) | −46.2805 | − | 22.2875i | −1.64243 | − | 0.790954i | ||||
\(795\) | −5.74036 | − | 9.14454i | −0.203590 | − | 0.324323i | ||||
\(796\) | 1.23632 | + | 5.41665i | 0.0438200 | + | 0.191988i | ||||
\(797\) | 4.12019 | − | 10.4981i | 0.145945 | − | 0.371861i | −0.839144 | − | 0.543910i | \(-0.816943\pi\) |
0.985088 | + | 0.172049i | \(0.0550387\pi\) | |||||||
\(798\) | −13.1352 | − | 66.1781i | −0.464982 | − | 2.34268i | ||||
\(799\) | 15.3725 | + | 39.1684i | 0.543838 | + | 1.38568i | ||||
\(800\) | −26.7393 | + | 18.2305i | −0.945377 | + | 0.644547i | ||||
\(801\) | −0.00207067 | + | 2.38364i | −7.31634e−5 | + | 0.0842219i | ||||
\(802\) | 3.22015 | + | 5.57747i | 0.113708 | + | 0.196947i | ||||
\(803\) | 2.77523 | + | 4.80684i | 0.0979357 | + | 0.169630i | ||||
\(804\) | −3.55315 | − | 31.6586i | −0.125310 | − | 1.11651i | ||||
\(805\) | −9.66654 | − | 0.633373i | −0.340701 | − | 0.0223235i | ||||
\(806\) | −12.7066 | + | 3.91947i | −0.447571 | + | 0.138057i | ||||
\(807\) | 8.37527 | − | 23.9018i | 0.294824 | − | 0.841385i | ||||
\(808\) | 5.52836 | − | 6.93234i | 0.194487 | − | 0.243879i | ||||
\(809\) | −41.3085 | − | 6.22625i | −1.45233 | − | 0.218903i | −0.625001 | − | 0.780624i | \(-0.714901\pi\) |
−0.827327 | + | 0.561721i | \(0.810140\pi\) | |||||||
\(810\) | −8.87583 | + | 11.0904i | −0.311865 | + | 0.389675i | ||||
\(811\) | −9.98417 | + | 43.7435i | −0.350592 | + | 1.53604i | 0.425227 | + | 0.905087i | \(0.360194\pi\) |
−0.775819 | + | 0.630956i | \(0.782663\pi\) | |||||||
\(812\) | 5.61650 | − | 1.33743i | 0.197101 | − | 0.0469344i | ||||
\(813\) | −2.95669 | + | 2.18015i | −0.103696 | + | 0.0764613i | ||||
\(814\) | 7.52127 | 0.263620 | ||||||||
\(815\) | 1.70129 | − | 2.94671i | 0.0595935 | − | 0.103219i | ||||
\(816\) | −22.9907 | + | 16.9525i | −0.804835 | + | 0.593456i | ||||
\(817\) | 0.336338 | + | 4.48812i | 0.0117670 | + | 0.157019i | ||||
\(818\) | −11.1738 | + | 14.0115i | −0.390682 | + | 0.489900i | ||||
\(819\) | −2.50763 | − | 4.25930i | −0.0876238 | − | 0.148832i | ||||
\(820\) | −8.39835 | − | 10.5312i | −0.293283 | − | 0.367765i | ||||
\(821\) | 35.4066 | − | 32.8525i | 1.23570 | − | 1.14656i | 0.251810 | − | 0.967777i | \(-0.418974\pi\) |
0.983888 | − | 0.178784i | \(-0.0572162\pi\) | |||||||
\(822\) | −1.52808 | − | 2.43428i | −0.0532980 | − | 0.0849052i | ||||
\(823\) | 10.6326 | − | 7.24921i | 0.370631 | − | 0.252692i | −0.363653 | − | 0.931534i | \(-0.618471\pi\) |
0.734284 | + | 0.678843i | \(0.237518\pi\) | |||||||
\(824\) | −2.52340 | + | 3.16424i | −0.0879067 | + | 0.110231i | ||||
\(825\) | −3.51305 | + | 18.5229i | −0.122309 | + | 0.644883i | ||||
\(826\) | −23.6545 | − | 1.54989i | −0.823044 | − | 0.0539276i | ||||
\(827\) | 1.89489 | + | 0.912529i | 0.0658917 | + | 0.0317318i | 0.466539 | − | 0.884500i | \(-0.345501\pi\) |
−0.400648 | + | 0.916232i | \(0.631215\pi\) | |||||||
\(828\) | 21.9283 | − | 4.98496i | 0.762063 | − | 0.173239i | ||||
\(829\) | 45.3387 | − | 13.9851i | 1.57468 | − | 0.485724i | 0.620310 | − | 0.784356i | \(-0.287007\pi\) |
0.954368 | + | 0.298632i | \(0.0965304\pi\) | |||||||
\(830\) | 10.2014 | − | 4.91272i | 0.354094 | − | 0.170523i | ||||
\(831\) | −11.2414 | + | 0.415735i | −0.389961 | + | 0.0144217i | ||||
\(832\) | −1.65020 | − | 2.85823i | −0.0572105 | − | 0.0990915i | ||||
\(833\) | −25.1090 | + | 4.26728i | −0.869974 | + | 0.147853i | ||||
\(834\) | 27.2672 | + | 62.5712i | 0.944186 | + | 2.16666i | ||||
\(835\) | −5.22165 | + | 13.3045i | −0.180703 | + | 0.460423i | ||||
\(836\) | −26.8633 | − | 18.3151i | −0.929087 | − | 0.633441i | ||||
\(837\) | 26.9474 | + | 51.1482i | 0.931439 | + | 1.76794i | ||||
\(838\) | 0.0358487 | − | 0.478367i | 0.00123837 | − | 0.0165249i | ||||
\(839\) | 5.80108 | − | 3.95511i | 0.200275 | − | 0.136545i | −0.459030 | − | 0.888421i | \(-0.651803\pi\) |
0.659305 | + | 0.751875i | \(0.270851\pi\) | |||||||
\(840\) | 2.08941 | − | 0.933916i | 0.0720915 | − | 0.0322231i | ||||
\(841\) | −22.5728 | − | 15.3899i | −0.778372 | − | 0.530685i | ||||
\(842\) | −5.10374 | + | 6.39989i | −0.175887 | + | 0.220555i | ||||
\(843\) | 0.0263265 | − | 0.695505i | 0.000906732 | − | 0.0239545i | ||||
\(844\) | 3.79195 | + | 4.75495i | 0.130524 | + | 0.163672i | ||||
\(845\) | 9.91091 | + | 3.05711i | 0.340946 | + | 0.105168i | ||||
\(846\) | 28.8387 | + | 60.0175i | 0.991495 | + | 2.06344i | ||||
\(847\) | −10.7403 | − | 6.06741i | −0.369040 | − | 0.208479i | ||||
\(848\) | −12.5528 | − | 31.9840i | −0.431065 | − | 1.09834i | ||||
\(849\) | −0.445153 | + | 11.7603i | −0.0152776 | + | 0.403611i | ||||
\(850\) | −28.8517 | − | 8.89957i | −0.989605 | − | 0.305253i | ||||
\(851\) | −3.46544 | + | 6.00233i | −0.118794 | + | 0.205757i | ||||
\(852\) | 5.08113 | + | 11.6599i | 0.174077 | + | 0.399461i | ||||
\(853\) | −24.5922 | − | 7.58569i | −0.842021 | − | 0.259729i | −0.156405 | − | 0.987693i | \(-0.549991\pi\) |
−0.685615 | + | 0.727964i | \(0.740467\pi\) | |||||||
\(854\) | −36.6349 | + | 3.09090i | −1.25362 | + | 0.105768i | ||||
\(855\) | −8.22613 | + | 17.0438i | −0.281328 | + | 0.582887i | ||||
\(856\) | −5.92975 | − | 5.50201i | −0.202675 | − | 0.188055i | ||||
\(857\) | 4.67320 | − | 5.86001i | 0.159634 | − | 0.200174i | −0.695582 | − | 0.718447i | \(-0.744853\pi\) |
0.855215 | + | 0.518273i | \(0.173425\pi\) | |||||||
\(858\) | −5.03316 | − | 1.35097i | −0.171829 | − | 0.0461215i | ||||
\(859\) | −6.14629 | + | 26.9287i | −0.209709 | + | 0.918794i | 0.755052 | + | 0.655665i | \(0.227612\pi\) |
−0.964761 | + | 0.263129i | \(0.915245\pi\) | |||||||
\(860\) | 0.776201 | − | 0.239426i | 0.0264682 | − | 0.00816437i | ||||
\(861\) | −21.1844 | − | 39.2301i | −0.721962 | − | 1.33696i | ||||
\(862\) | 58.2705 | + | 17.9741i | 1.98470 | + | 0.612199i | ||||
\(863\) | 19.9770 | − | 34.6011i | 0.680024 | − | 1.17784i | −0.294950 | − | 0.955513i | \(-0.595303\pi\) |
0.974973 | − | 0.222323i | \(-0.0713638\pi\) | |||||||
\(864\) | −29.5125 | + | 25.3307i | −1.00404 | + | 0.861769i | ||||
\(865\) | 0.240257 | − | 0.222926i | 0.00816897 | − | 0.00757970i | ||||
\(866\) | 4.60253 | + | 61.4165i | 0.156400 | + | 2.08702i | ||||
\(867\) | 6.29294 | + | 1.68912i | 0.213719 | + | 0.0573654i | ||||
\(868\) | 0.464419 | + | 49.5568i | 0.0157634 | + | 1.68207i | ||||
\(869\) | −4.96856 | + | 12.6597i | −0.168547 | + | 0.429451i | ||||
\(870\) | −3.24709 | − | 1.41837i | −0.110087 | − | 0.0480873i | ||||
\(871\) | −4.24167 | − | 5.31889i | −0.143724 | − | 0.180224i | ||||
\(872\) | 0.654109 | + | 8.72848i | 0.0221509 | + | 0.295584i | ||||
\(873\) | 16.1737 | − | 12.8751i | 0.547395 | − | 0.435756i | ||||
\(874\) | 59.0607 | − | 28.4421i | 1.99776 | − | 0.962070i | ||||
\(875\) | 17.6625 | + | 9.97794i | 0.597101 | + | 0.337316i | ||||
\(876\) | −5.68549 | + | 3.00171i | −0.192095 | + | 0.101418i | ||||
\(877\) | −49.8871 | + | 24.0244i | −1.68457 | + | 0.811246i | −0.688255 | + | 0.725469i | \(0.741623\pi\) |
−0.996314 | + | 0.0857765i | \(0.972663\pi\) | |||||||
\(878\) | 24.3662 | + | 22.6085i | 0.822319 | + | 0.763001i | ||||
\(879\) | −23.5783 | + | 8.23892i | −0.795277 | + | 0.277892i | ||||
\(880\) | 3.42829 | − | 8.73515i | 0.115568 | − | 0.294462i | ||||
\(881\) | −5.80285 | −0.195503 | −0.0977515 | − | 0.995211i | \(-0.531165\pi\) | ||||
−0.0977515 | + | 0.995211i | \(0.531165\pi\) | |||||||
\(882\) | −39.1274 | + | 9.66946i | −1.31749 | + | 0.325588i | ||||
\(883\) | −30.7134 | −1.03359 | −0.516795 | − | 0.856109i | \(-0.672875\pi\) | ||||
−0.516795 | + | 0.856109i | \(0.672875\pi\) | |||||||
\(884\) | 1.39359 | − | 3.55081i | 0.0468714 | − | 0.119427i | ||||
\(885\) | 5.03813 | + | 4.33947i | 0.169355 | + | 0.145870i | ||||
\(886\) | −46.5237 | − | 43.1677i | −1.56299 | − | 1.45025i | ||||
\(887\) | 34.8039 | − | 16.7607i | 1.16860 | − | 0.562768i | 0.254029 | − | 0.967196i | \(-0.418244\pi\) |
0.914569 | + | 0.404429i | \(0.132530\pi\) | |||||||
\(888\) | 0.0619363 | − | 1.63626i | 0.00207845 | − | 0.0549093i | ||||
\(889\) | 34.9905 | + | 2.29265i | 1.17354 | + | 0.0768931i | ||||
\(890\) | 1.12985 | − | 0.544109i | 0.0378728 | − | 0.0182386i | ||||
\(891\) | −1.73242 | + | 22.5908i | −0.0580382 | + | 0.756820i | ||||
\(892\) | −2.82392 | − | 37.6826i | −0.0945519 | − | 1.26171i | ||||
\(893\) | 55.3121 | + | 69.3592i | 1.85095 | + | 2.32102i | ||||
\(894\) | −3.88048 | − | 34.5752i | −0.129783 | − | 1.15637i | ||||
\(895\) | −0.560851 | + | 1.42902i | −0.0187472 | + | 0.0477670i | ||||
\(896\) | 12.3481 | − | 2.94039i | 0.412522 | − | 0.0982315i | ||||
\(897\) | 3.39718 | − | 3.39423i | 0.113429 | − | 0.113330i | ||||
\(898\) | −1.01500 | − | 13.5443i | −0.0338711 | − | 0.451979i | ||||
\(899\) | −10.5715 | + | 9.80893i | −0.352580 | + | 0.327146i | ||||
\(900\) | −21.2862 | − | 4.87790i | −0.709541 | − | 0.162597i | ||||
\(901\) | 13.7901 | − | 23.8851i | 0.459414 | − | 0.795729i | ||||
\(902\) | −44.9195 | − | 13.8558i | −1.49566 | − | 0.461349i | ||||
\(903\) | 2.66892 | − | 0.324895i | 0.0888161 | − | 0.0108118i | ||||
\(904\) | 8.95948 | − | 2.76363i | 0.297988 | − | 0.0919171i | ||||
\(905\) | −2.23854 | + | 9.80767i | −0.0744115 | + | 0.326018i | ||||
\(906\) | 14.5127 | − | 14.5001i | 0.482153 | − | 0.481734i | ||||
\(907\) | 7.89171 | − | 9.89589i | 0.262040 | − | 0.328587i | −0.633354 | − | 0.773862i | \(-0.718322\pi\) |
0.895394 | + | 0.445274i | \(0.146894\pi\) | |||||||
\(908\) | 6.43980 | + | 5.97527i | 0.213712 | + | 0.198296i | ||||
\(909\) | 43.6809 | − | 3.23528i | 1.44881 | − | 0.107307i | ||||
\(910\) | −1.44463 | + | 2.16214i | −0.0478891 | + | 0.0716744i | ||||
\(911\) | −46.3078 | − | 14.2840i | −1.53424 | − | 0.473252i | −0.591370 | − | 0.806400i | \(-0.701413\pi\) |
−0.942874 | + | 0.333149i | \(0.891889\pi\) | |||||||
\(912\) | −35.7842 | + | 48.4418i | −1.18493 | + | 1.60407i | ||||
\(913\) | 9.02999 | − | 15.6404i | 0.298849 | − | 0.517622i | ||||
\(914\) | 26.1464 | + | 8.06510i | 0.864847 | + | 0.266770i | ||||
\(915\) | 8.72958 | + | 5.49045i | 0.288591 | + | 0.181509i | ||||
\(916\) | −15.3096 | − | 39.0081i | −0.505842 | − | 1.28886i | ||||
\(917\) | −1.84034 | + | 2.02107i | −0.0607732 | + | 0.0667416i | ||||
\(918\) | −35.6439 | − | 6.79231i | −1.17642 | − | 0.224179i | ||||
\(919\) | 26.2284 | + | 8.09039i | 0.865196 | + | 0.266877i | 0.695418 | − | 0.718605i | \(-0.255219\pi\) |
0.169777 | + | 0.985482i | \(0.445695\pi\) | |||||||
\(920\) | 1.38640 | + | 1.73850i | 0.0457084 | + | 0.0573165i | ||||
\(921\) | −18.0398 | + | 9.52429i | −0.594432 | + | 0.313836i | ||||
\(922\) | 18.7216 | − | 23.4762i | 0.616564 | − | 0.773147i | ||||
\(923\) | 2.24416 | + | 1.53004i | 0.0738673 | + | 0.0503619i | ||||
\(924\) | −10.1860 | + | 16.5371i | −0.335094 | + | 0.544032i | ||||
\(925\) | 5.56108 | − | 3.79148i | 0.182847 | − | 0.124663i | ||||
\(926\) | −2.14428 | + | 28.6135i | −0.0704655 | + | 0.940297i | ||||
\(927\) | −19.9380 | + | 1.47673i | −0.654849 | + | 0.0485021i | ||||
\(928\) | −8.01590 | − | 5.46515i | −0.263135 | − | 0.179402i | ||||
\(929\) | −14.3995 | + | 36.6895i | −0.472434 | + | 1.20374i | 0.473908 | + | 0.880574i | \(0.342843\pi\) |
−0.946342 | + | 0.323167i | \(0.895252\pi\) | |||||||
\(930\) | 18.0719 | − | 24.4644i | 0.592602 | − | 0.802218i | ||||
\(931\) | −47.9351 | + | 24.2013i | −1.57101 | + | 0.793166i | ||||
\(932\) | 24.2808 | + | 42.0556i | 0.795345 | + | 1.37758i | ||||
\(933\) | 8.02216 | − | 15.1627i | 0.262634 | − | 0.496405i | ||||
\(934\) | −40.7994 | + | 19.6479i | −1.33500 | + | 0.642900i | ||||
\(935\) | 7.19777 | − | 2.22022i | 0.235392 | − | 0.0726089i | ||||
\(936\) | −0.335353 | + | 1.08384i | −0.0109614 | + | 0.0354266i | ||||
\(937\) | 9.62869 | + | 4.63693i | 0.314556 | + | 0.151482i | 0.584500 | − | 0.811394i | \(-0.301291\pi\) |
−0.269944 | + | 0.962876i | \(0.587005\pi\) | |||||||
\(938\) | −51.4485 | + | 20.7505i | −1.67985 | + | 0.677528i | ||||
\(939\) | −23.7410 | + | 8.29576i | −0.774758 | + | 0.270722i | ||||
\(940\) | 9.98275 | − | 12.5180i | 0.325601 | − | 0.408291i | ||||
\(941\) | 0.602698 | − | 0.410913i | 0.0196474 | − | 0.0133954i | −0.553457 | − | 0.832878i | \(-0.686692\pi\) |
0.573104 | + | 0.819483i | \(0.305739\pi\) | |||||||
\(942\) | 21.5126 | − | 0.795590i | 0.700920 | − | 0.0259217i | ||||
\(943\) | 31.7544 | − | 29.4638i | 1.03406 | − | 0.959472i | ||||
\(944\) | 13.1932 | + | 16.5437i | 0.429401 | + | 0.538451i | ||||
\(945\) | 10.3983 | + | 4.43722i | 0.338257 | + | 0.144343i | ||||
\(946\) | 1.76745 | − | 2.21631i | 0.0574646 | − | 0.0720584i | ||||
\(947\) | 0.870546 | + | 11.6166i | 0.0282890 | + | 0.377490i | 0.993323 | + | 0.115366i | \(0.0368040\pi\) |
−0.965034 | + | 0.262124i | \(0.915577\pi\) | |||||||
\(948\) | −14.4359 | − | 6.30577i | −0.468855 | − | 0.204802i | ||||
\(949\) | −0.686479 | + | 1.18902i | −0.0222840 | + | 0.0385971i | ||||
\(950\) | −63.6581 | −2.06534 | ||||||||
\(951\) | −0.902590 | − | 8.04210i | −0.0292685 | − | 0.260783i | ||||
\(952\) | 4.60467 | + | 3.60203i | 0.149238 | + | 0.116743i | ||||
\(953\) | −11.9468 | + | 52.3423i | −0.386994 | + | 1.69553i | 0.287935 | + | 0.957650i | \(0.407031\pi\) |
−0.674929 | + | 0.737882i | \(0.735826\pi\) | |||||||
\(954\) | 18.9712 | − | 39.3067i | 0.614215 | − | 1.27260i | ||||
\(955\) | 21.0284 | + | 3.16952i | 0.680462 | + | 0.102563i | ||||
\(956\) | 7.20705 | − | 9.03735i | 0.233093 | − | 0.292289i | ||||
\(957\) | −5.55369 | + | 1.04832i | −0.179525 | + | 0.0338873i | ||||
\(958\) | −19.5592 | + | 6.03320i | −0.631928 | + | 0.194924i | ||||
\(959\) | −1.54012 | + | 1.69137i | −0.0497331 | + | 0.0546172i | ||||
\(960\) | 6.91792 | + | 3.02183i | 0.223275 | + | 0.0975293i | ||||
\(961\) | −46.3945 | − | 80.3576i | −1.49660 | − | 2.59218i | ||||
\(962\) | 0.930228 | + | 1.61120i | 0.0299918 | + | 0.0519473i | ||||
\(963\) | 0.0347123 | − | 39.9590i | 0.00111859 | − | 1.28766i | ||||
\(964\) | −28.4812 | + | 19.4182i | −0.917319 | + | 0.625417i | ||||
\(965\) | 2.73936 | + | 6.97978i | 0.0881831 | + | 0.224687i | ||||
\(966\) | −18.6067 | − | 34.4567i | −0.598662 | − | 1.10863i | ||||
\(967\) | 15.4788 | − | 39.4394i | 0.497765 | − | 1.26828i | −0.432579 | − | 0.901596i | \(-0.642396\pi\) |
0.930344 | − | 0.366688i | \(-0.119508\pi\) | |||||||
\(968\) | 0.630072 | + | 2.76052i | 0.0202513 | + | 0.0887266i | ||||
\(969\) | −48.3101 | + | 1.78662i | −1.55194 | + | 0.0573946i | ||||
\(970\) | −9.79886 | − | 4.71888i | −0.314622 | − | 0.151514i | ||||
\(971\) | 1.73795 | + | 4.42822i | 0.0557734 | + | 0.142108i | 0.956045 | − | 0.293221i | \(-0.0947272\pi\) |
−0.900271 | + | 0.435329i | \(0.856632\pi\) | |||||||
\(972\) | −26.0728 | − | 2.99506i | −0.836287 | − | 0.0960666i | ||||
\(973\) | 42.1522 | − | 34.2664i | 1.35134 | − | 1.09853i | ||||
\(974\) | 62.7928 | − | 42.8114i | 2.01201 | − | 1.37177i | ||||
\(975\) | −4.40245 | + | 1.53834i | −0.140991 | + | 0.0492662i | ||||
\(976\) | 24.0572 | + | 22.3218i | 0.770053 | + | 0.714505i | ||||
\(977\) | −2.52208 | + | 33.6549i | −0.0806886 | + | 1.07671i | 0.799052 | + | 0.601261i | \(0.205335\pi\) |
−0.879741 | + | 0.475453i | \(0.842284\pi\) | |||||||
\(978\) | 13.7451 | − | 0.508327i | 0.439520 | − | 0.0162545i | ||||
\(979\) | 1.00012 | − | 1.73226i | 0.0319640 | − | 0.0553632i | ||||
\(980\) | 6.18345 | + | 7.46249i | 0.197523 | + | 0.238381i | ||||
\(981\) | −29.4370 | + | 31.6703i | −0.939850 | + | 1.01115i | ||||
\(982\) | −16.5266 | + | 2.49099i | −0.527385 | + | 0.0794906i | ||||
\(983\) | −13.4906 | + | 6.49674i | −0.430284 | + | 0.207214i | −0.636474 | − | 0.771298i | \(-0.719608\pi\) |
0.206190 | + | 0.978512i | \(0.433894\pi\) | |||||||
\(984\) | −3.38426 | + | 9.65819i | −0.107886 | + | 0.307892i | ||||
\(985\) | −6.75781 | + | 3.25439i | −0.215322 | + | 0.103693i | ||||
\(986\) | −0.676403 | − | 9.02597i | −0.0215411 | − | 0.287446i | ||||
\(987\) | 39.8587 | − | 34.9260i | 1.26872 | − | 1.11171i | ||||
\(988\) | 0.601005 | − | 8.01985i | 0.0191205 | − | 0.255145i | ||||
\(989\) | 0.954361 | + | 2.43167i | 0.0303469 | + | 0.0773227i | ||||
\(990\) | 11.0998 | − | 4.34522i | 0.352774 | − | 0.138100i | ||||
\(991\) | 17.7978 | − | 45.3481i | 0.565366 | − | 1.44053i | −0.307016 | − | 0.951704i | \(-0.599331\pi\) |
0.872382 | − | 0.488825i | \(-0.162574\pi\) | |||||||
\(992\) | 61.0465 | − | 56.6429i | 1.93823 | − | 1.79841i | ||||
\(993\) | −13.4206 | − | 21.3794i | −0.425889 | − | 0.678453i | ||||
\(994\) | 17.1861 | − | 13.9709i | 0.545110 | − | 0.443131i | ||||
\(995\) | −2.68353 | − | 0.404477i | −0.0850736 | − | 0.0128228i | ||||
\(996\) | 17.7081 | + | 11.1375i | 0.561102 | + | 0.352904i | ||||
\(997\) | −5.04294 | − | 22.0946i | −0.159712 | − | 0.699742i | −0.989842 | − | 0.142173i | \(-0.954591\pi\) |
0.830130 | − | 0.557569i | \(-0.188266\pi\) | |||||||
\(998\) | −21.5827 | − | 37.3823i | −0.683187 | − | 1.18331i | ||||
\(999\) | 6.13785 | − | 5.26814i | 0.194193 | − | 0.166677i |
(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 | 441.2.z.a.142.11 | yes | 648 | |
9.4 | even | 3 | 441.2.y.a.436.11 | yes | 648 | ||
49.39 | even | 21 | 441.2.y.a.88.11 | ✓ | 648 | ||
441.382 | even | 21 | inner | 441.2.z.a.382.11 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.y.a.88.11 | ✓ | 648 | 49.39 | even | 21 | ||
441.2.y.a.436.11 | yes | 648 | 9.4 | even | 3 | ||
441.2.z.a.142.11 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.z.a.382.11 | yes | 648 | 441.382 | even | 21 | inner |