Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [912,2,Mod(257,912)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(912, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 0, 9, 17]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("912.257");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 912 = 2^{4} \cdot 3 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 912.cc (of order \(18\), degree \(6\), not 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: | \(7.28235666434\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{18})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} - x^{15} - 18 x^{14} + 36 x^{13} + 10 x^{12} + 18 x^{11} + 90 x^{10} - 567 x^{9} + 270 x^{8} + \cdots + 19683 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{13}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 114) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 497.1 | ||
Root | \(-0.442647 + 1.67453i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 912.497 |
Dual form | 912.2.cc.c.545.1 |
$q$-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 \(\left(\mathbb{Z}/912\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(229\) | \(305\) | \(799\) |
\(\chi(n)\) | \(e\left(\frac{13}{18}\right)\) | \(1\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −1.57223 | + | 0.726702i | −0.907727 | + | 0.419561i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −1.96615 | − | 0.346685i | −0.879288 | − | 0.155042i | −0.284260 | − | 0.958747i | \(-0.591748\pi\) |
−0.595028 | + | 0.803705i | \(0.702859\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.910931 | − | 1.57778i | −0.344300 | − | 0.596344i | 0.640927 | − | 0.767602i | \(-0.278550\pi\) |
−0.985226 | + | 0.171258i | \(0.945217\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 1.94381 | − | 2.28508i | 0.647937 | − | 0.761694i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 4.10844 | + | 2.37201i | 1.23874 | + | 0.715187i | 0.968837 | − | 0.247701i | \(-0.0796749\pi\) |
0.269903 | + | 0.962887i | \(0.413008\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.151321 | − | 0.415752i | 0.0419690 | − | 0.115309i | −0.916938 | − | 0.399030i | \(-0.869347\pi\) |
0.958907 | + | 0.283721i | \(0.0915691\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 3.34317 | − | 0.883735i | 0.863203 | − | 0.228179i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −1.07476 | + | 1.28085i | −0.260668 | + | 0.310652i | −0.880466 | − | 0.474110i | \(-0.842770\pi\) |
0.619798 | + | 0.784761i | \(0.287214\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.58212 | − | 2.48363i | 0.821794 | − | 0.569785i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 2.57877 | + | 1.81865i | 0.562733 | + | 0.396863i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −5.93571 | + | 1.04663i | −1.23768 | + | 0.218237i | −0.753922 | − | 0.656964i | \(-0.771840\pi\) |
−0.483760 | + | 0.875201i | \(0.660729\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.952914 | − | 0.346832i | −0.190583 | − | 0.0693665i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −1.39554 | + | 5.00524i | −0.268572 | + | 0.963260i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −4.91935 | + | 4.12783i | −0.913501 | + | 0.766518i | −0.972782 | − | 0.231723i | \(-0.925564\pi\) |
0.0592808 | + | 0.998241i | \(0.481119\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −4.88683 | + | 2.82141i | −0.877700 | + | 0.506741i | −0.869899 | − | 0.493229i | \(-0.835816\pi\) |
−0.00780088 | + | 0.999970i | \(0.502483\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −8.18314 | − | 0.743731i | −1.42450 | − | 0.129467i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 1.24403 | + | 3.41795i | 0.210280 | + | 0.577740i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 5.80180i | 0.953811i | 0.878955 | + | 0.476905i | \(0.158242\pi\) | ||||
−0.878955 | + | 0.476905i | \(0.841758\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0.0642158 | + | 0.763624i | 0.0102828 | + | 0.122278i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 3.75563 | − | 1.36694i | 0.586530 | − | 0.213480i | −0.0316723 | − | 0.999498i | \(-0.510083\pi\) |
0.618203 | + | 0.786019i | \(0.287861\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −2.15807 | + | 12.2390i | −0.329102 | + | 1.86643i | 0.150023 | + | 0.988683i | \(0.452065\pi\) |
−0.479125 | + | 0.877747i | \(0.659046\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −4.61402 | + | 3.81892i | −0.687818 | + | 0.569291i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −6.92588 | − | 8.25394i | −1.01024 | − | 1.20396i | −0.978876 | − | 0.204453i | \(-0.934459\pi\) |
−0.0313665 | − | 0.999508i | \(-0.509986\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 1.84041 | − | 3.18768i | 0.262916 | − | 0.455383i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.758974 | − | 2.79482i | 0.106278 | − | 0.391353i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 0.424873 | + | 2.40957i | 0.0583608 | + | 0.330981i | 0.999984 | − | 0.00568857i | \(-0.00181074\pi\) |
−0.941623 | + | 0.336669i | \(0.890700\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −7.25545 | − | 6.08805i | −0.978325 | − | 0.820912i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −3.82705 | + | 6.50797i | −0.506905 | + | 0.862002i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −3.87172 | − | 3.24876i | −0.504055 | − | 0.422952i | 0.354977 | − | 0.934875i | \(-0.384489\pi\) |
−0.859031 | + | 0.511923i | \(0.828933\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.80210 | + | 10.2202i | 0.230735 | + | 1.30856i | 0.851412 | + | 0.524498i | \(0.175747\pi\) |
−0.620677 | + | 0.784067i | \(0.713142\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −5.37603 | − | 0.985349i | −0.677316 | − | 0.124142i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −0.441656 | + | 0.764970i | −0.0547806 | + | 0.0948828i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −5.27060 | − | 6.28126i | −0.643906 | − | 0.767378i | 0.341075 | − | 0.940036i | \(-0.389209\pi\) |
−0.984982 | + | 0.172658i | \(0.944764\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 8.57172 | − | 5.95903i | 1.03191 | − | 0.717383i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −0.897109 | + | 5.08776i | −0.106467 | + | 0.603806i | 0.884157 | + | 0.467190i | \(0.154734\pi\) |
−0.990624 | + | 0.136616i | \(0.956377\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −13.5869 | + | 4.94524i | −1.59023 | + | 0.578796i | −0.977396 | − | 0.211415i | \(-0.932193\pi\) |
−0.612834 | + | 0.790212i | \(0.709971\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 1.75024 | − | 0.147184i | 0.202101 | − | 0.0169954i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | − | 8.64294i | − | 0.984954i | ||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 3.23544 | + | 8.88931i | 0.364016 | + | 1.00013i | 0.977595 | + | 0.210493i | \(0.0675068\pi\) |
−0.613580 | + | 0.789633i | \(0.710271\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −1.44321 | − | 8.88353i | −0.160356 | − | 0.987059i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 0.523324 | − | 0.302141i | 0.0574423 | − | 0.0331643i | −0.471004 | − | 0.882131i | \(-0.656108\pi\) |
0.528446 | + | 0.848967i | \(0.322775\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 2.55719 | − | 2.14574i | 0.277366 | − | 0.232738i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 4.73465 | − | 10.0648i | 0.507608 | − | 1.07906i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 4.07161 | + | 1.48195i | 0.431590 | + | 0.157086i | 0.548675 | − | 0.836036i | \(-0.315133\pi\) |
−0.117084 | + | 0.993122i | \(0.537355\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.793809 | + | 0.139970i | −0.0832137 | + | 0.0146728i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 5.63289 | − | 7.98717i | 0.584104 | − | 0.828231i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −7.90401 | + | 3.64132i | −0.810935 | + | 0.373592i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 1.64505 | − | 1.96049i | 0.167029 | − | 0.199057i | −0.676037 | − | 0.736868i | \(-0.736304\pi\) |
0.843066 | + | 0.537810i | \(0.180748\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 13.4062 | − | 4.77739i | 1.34738 | − | 0.480145i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −2.72562 | + | 7.48859i | −0.271210 | + | 0.745142i | 0.727073 | + | 0.686560i | \(0.240880\pi\) |
−0.998283 | + | 0.0585821i | \(0.981342\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 13.3041 | + | 7.68115i | 1.31090 | + | 0.756846i | 0.982245 | − | 0.187605i | \(-0.0600725\pi\) |
0.328651 | + | 0.944451i | \(0.393406\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −4.43974 | − | 4.46977i | −0.433274 | − | 0.436204i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 9.34857 | + | 16.1922i | 0.903760 | + | 1.56536i | 0.822573 | + | 0.568660i | \(0.192538\pi\) |
0.0811876 | + | 0.996699i | \(0.474129\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −11.2420 | − | 1.98227i | −1.07679 | − | 0.189867i | −0.392994 | − | 0.919541i | \(-0.628561\pi\) |
−0.683795 | + | 0.729674i | \(0.739672\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −4.21618 | − | 9.12177i | −0.400182 | − | 0.865800i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −0.594179 | −0.0558957 | −0.0279478 | − | 0.999609i | \(-0.508897\pi\) | ||||
−0.0279478 | + | 0.999609i | \(0.508897\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 12.0333 | 1.12212 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −0.655888 | − | 1.15393i | −0.0606369 | − | 0.106680i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 2.99993 | + | 0.528968i | 0.275003 | + | 0.0484905i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 5.75283 | + | 9.96419i | 0.522984 | + | 0.905835i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −4.91135 | + | 4.87836i | −0.442842 | + | 0.439867i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 10.3983 | + | 6.00348i | 0.930056 | + | 0.536968i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −4.51501 | + | 12.4049i | −0.400642 | + | 1.10076i | 0.561326 | + | 0.827595i | \(0.310291\pi\) |
−0.961968 | + | 0.273161i | \(0.911931\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −5.50112 | − | 20.8108i | −0.484347 | − | 1.83229i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 4.54726 | − | 5.41921i | 0.397296 | − | 0.473479i | −0.529898 | − | 0.848062i | \(-0.677770\pi\) |
0.927193 | + | 0.374583i | \(0.122214\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −7.18169 | − | 3.38937i | −0.622731 | − | 0.293896i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 4.47908 | − | 9.35724i | 0.385498 | − | 0.805343i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −9.23589 | + | 1.62854i | −0.789075 | + | 0.139135i | −0.553641 | − | 0.832755i | \(-0.686762\pi\) |
−0.235434 | + | 0.971890i | \(0.575651\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −10.1792 | − | 3.70494i | −0.863392 | − | 0.314249i | −0.127904 | − | 0.991787i | \(-0.540825\pi\) |
−0.735488 | + | 0.677538i | \(0.763047\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 16.8872 | + | 7.94404i | 1.42216 | + | 0.669009i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 1.60786 | − | 1.34916i | 0.134456 | − | 0.112822i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 11.1032 | − | 6.41046i | 0.922074 | − | 0.532359i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −0.577052 | + | 6.34920i | −0.0475944 | + | 0.523673i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −3.85231 | − | 10.5841i | −0.315594 | − | 0.867086i | −0.991501 | − | 0.130100i | \(-0.958470\pi\) |
0.675907 | − | 0.736987i | \(-0.263752\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | − | 3.54669i | − | 0.288625i | −0.989532 | − | 0.144313i | \(-0.953903\pi\) | ||
0.989532 | − | 0.144313i | \(-0.0460971\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0.837717 | + | 4.94564i | 0.0677254 | + | 0.399832i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 10.5864 | − | 3.85312i | 0.850318 | − | 0.309490i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −0.0548481 | + | 0.311059i | −0.00437736 | + | 0.0248252i | −0.986918 | − | 0.161222i | \(-0.948457\pi\) |
0.982541 | + | 0.186047i | \(0.0595677\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −2.41904 | − | 3.47965i | −0.191842 | − | 0.275954i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 7.05837 | + | 8.41184i | 0.556277 | + | 0.662946i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −0.624535 | + | 1.08173i | −0.0489174 | + | 0.0847274i | −0.889447 | − | 0.457038i | \(-0.848910\pi\) |
0.840530 | + | 0.541765i | \(0.182244\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 15.8314 | + | 4.29926i | 1.23248 | + | 0.334697i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −0.177553 | − | 1.00695i | −0.0137395 | − | 0.0779205i | 0.977167 | − | 0.212472i | \(-0.0681516\pi\) |
−0.990907 | + | 0.134552i | \(0.957040\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 9.80863 | + | 8.23041i | 0.754510 | + | 0.633109i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 1.28765 | − | 13.0131i | 0.0984689 | − | 0.995140i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −11.5762 | − | 9.71361i | −0.880124 | − | 0.738512i | 0.0860802 | − | 0.996288i | \(-0.472566\pi\) |
−0.966205 | + | 0.257776i | \(0.917010\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.320814 | + | 1.81943i | 0.0242513 | + | 0.137536i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 8.44811 | + | 2.29421i | 0.634998 | + | 0.172443i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −2.97218 | + | 5.14797i | −0.222151 | + | 0.384777i | −0.955461 | − | 0.295118i | \(-0.904641\pi\) |
0.733310 | + | 0.679895i | \(0.237974\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −4.17230 | − | 4.97236i | −0.310125 | − | 0.369593i | 0.588358 | − | 0.808600i | \(-0.299774\pi\) |
−0.898483 | + | 0.439008i | \(0.855330\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −10.2604 | − | 14.7589i | −0.758468 | − | 1.09101i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 2.01140 | − | 11.4072i | 0.147881 | − | 0.838675i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −7.45377 | + | 2.71295i | −0.545073 | + | 0.198390i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 9.16841 | − | 2.35758i | 0.666904 | − | 0.171488i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | − | 23.8639i | − | 1.72673i | −0.504577 | − | 0.863367i | \(-0.668352\pi\) | ||
0.504577 | − | 0.863367i | \(-0.331648\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −0.726280 | − | 1.99544i | −0.0522788 | − | 0.143635i | 0.910805 | − | 0.412837i | \(-0.135462\pi\) |
−0.963084 | + | 0.269202i | \(0.913240\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0.138479 | − | 1.52366i | 0.00991669 | − | 0.109112i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 3.27574 | − | 1.89125i | 0.233387 | − | 0.134746i | −0.378747 | − | 0.925500i | \(-0.623645\pi\) |
0.612133 | + | 0.790755i | \(0.290312\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 10.5692 | − | 8.86860i | 0.749230 | − | 0.628679i | −0.186069 | − | 0.982537i | \(-0.559575\pi\) |
0.935299 | + | 0.353858i | \(0.115130\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 12.8512 | + | 6.04542i | 0.906453 | + | 0.426411i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 10.9940 | + | 4.00149i | 0.771627 | + | 0.280849i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −7.85802 | + | 1.38558i | −0.548828 | + | 0.0967731i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −9.14627 | + | 15.5980i | −0.635710 | + | 1.08414i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 20.6081 | − | 1.70704i | 1.42549 | − | 0.118078i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −10.3613 | + | 12.3481i | −0.713299 | + | 0.850077i | −0.993961 | − | 0.109730i | \(-0.965002\pi\) |
0.280662 | + | 0.959807i | \(0.409446\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −2.28682 | − | 8.65106i | −0.156690 | − | 0.592761i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 8.48615 | − | 23.3155i | 0.578751 | − | 1.59010i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 8.90313 | + | 5.14022i | 0.604384 | + | 0.348941i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 17.7681 | − | 17.6487i | 1.20065 | − | 1.19259i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0.369882 | + | 0.640654i | 0.0248809 | + | 0.0430951i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −1.05803 | − | 0.186559i | −0.0708508 | − | 0.0124929i | 0.138110 | − | 0.990417i | \(-0.455897\pi\) |
−0.208961 | + | 0.977924i | \(0.567008\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −2.64482 | + | 1.50331i | −0.176322 | + | 0.100221i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 18.7633 | 1.24536 | 0.622682 | − | 0.782475i | \(-0.286043\pi\) | ||||
0.622682 | + | 0.782475i | \(0.286043\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −11.6264 | −0.768296 | −0.384148 | − | 0.923271i | \(-0.625505\pi\) | ||||
−0.384148 | + | 0.923271i | \(0.625505\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 6.28083 | + | 13.5887i | 0.413249 | + | 0.894069i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −16.0133 | − | 2.82357i | −1.04907 | − | 0.184979i | −0.377565 | − | 0.925983i | \(-0.623239\pi\) |
−0.671500 | + | 0.741004i | \(0.734350\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 10.7558 | + | 18.6296i | 0.701630 | + | 1.21526i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −11.5467 | − | 11.6248i | −0.750041 | − | 0.755114i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −5.90043 | − | 3.40661i | −0.381667 | − | 0.220356i | 0.296876 | − | 0.954916i | \(-0.404055\pi\) |
−0.678543 | + | 0.734560i | \(0.737388\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −6.63839 | + | 18.2388i | −0.427616 | + | 1.17487i | 0.519639 | + | 0.854386i | \(0.326066\pi\) |
−0.947255 | + | 0.320480i | \(0.896156\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 8.72473 | + | 12.9182i | 0.559692 | + | 0.828701i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −4.72364 | + | 5.62942i | −0.301782 | + | 0.359650i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.490525 | − | 1.86510i | −0.0312114 | − | 0.118674i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −0.603219 | + | 0.855336i | −0.0382274 | + | 0.0542047i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −16.8226 | + | 2.96628i | −1.06183 | + | 0.187230i | −0.677170 | − | 0.735827i | \(-0.736794\pi\) |
−0.384664 | + | 0.923057i | \(0.625683\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −26.8691 | − | 9.77955i | −1.68925 | − | 0.614835i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −2.46118 | + | 5.23190i | −0.154125 | + | 0.327635i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 12.1113 | − | 10.1626i | 0.755485 | − | 0.633927i | −0.181462 | − | 0.983398i | \(-0.558083\pi\) |
0.936947 | + | 0.349471i | \(0.113639\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 9.15396 | − | 5.28504i | 0.568800 | − | 0.328397i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −0.129859 | + | 19.2648i | −0.00803808 | + | 1.19246i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −0.888930 | − | 2.44232i | −0.0548138 | − | 0.150600i | 0.909264 | − | 0.416220i | \(-0.136645\pi\) |
−0.964078 | + | 0.265620i | \(0.914423\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | − | 4.88488i | − | 0.300076i | ||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −7.47844 | + | 0.628889i | −0.457673 | + | 0.0384874i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 29.9875 | − | 10.9146i | 1.82837 | − | 0.665473i | 0.835039 | − | 0.550191i | \(-0.185445\pi\) |
0.993333 | − | 0.115281i | \(-0.0367769\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 3.48942 | − | 19.7895i | 0.211967 | − | 1.20212i | −0.674126 | − | 0.738617i | \(-0.735479\pi\) |
0.886093 | − | 0.463508i | \(-0.153410\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 1.14633 | − | 0.796927i | 0.0693792 | − | 0.0482322i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −3.09230 | − | 3.68526i | −0.186473 | − | 0.222229i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 4.04017 | − | 6.99778i | 0.242750 | − | 0.420456i | −0.718746 | − | 0.695272i | \(-0.755284\pi\) |
0.961497 | + | 0.274816i | \(0.0886171\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −3.05191 | + | 16.6511i | −0.182713 | + | 0.996875i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 2.05091 | + | 11.6313i | 0.122347 | + | 0.693866i | 0.982848 | + | 0.184417i | \(0.0590396\pi\) |
−0.860501 | + | 0.509449i | \(0.829849\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −11.0055 | − | 9.23472i | −0.654210 | − | 0.548947i | 0.254135 | − | 0.967169i | \(-0.418209\pi\) |
−0.908345 | + | 0.418221i | \(0.862654\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 9.78076 | − | 11.4689i | 0.579363 | − | 0.679356i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −5.57784 | − | 4.68036i | −0.329249 | − | 0.276273i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 2.46655 | + | 13.9885i | 0.145091 | + | 0.822854i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −1.16170 | + | 4.27779i | −0.0681000 | + | 0.250769i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −0.00324263 | + | 0.00561639i | −0.000189436 | + | 0.000328113i | −0.866120 | − | 0.499836i | \(-0.833394\pi\) |
0.865931 | + | 0.500164i | \(0.166727\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 6.48608 | + | 7.72981i | 0.377634 | + | 0.450047i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −17.6060 | + | 17.2535i | −1.02160 | + | 1.00115i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −0.463063 | + | 2.62616i | −0.0267797 | + | 0.151875i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 21.2763 | − | 7.74393i | 1.22634 | − | 0.446353i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −1.15666 | − | 13.7545i | −0.0664486 | − | 0.790175i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | − | 20.7192i | − | 1.18638i | ||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −4.66013 | − | 12.8036i | −0.265968 | − | 0.730741i | −0.998736 | − | 0.0502623i | \(-0.983994\pi\) |
0.732768 | − | 0.680478i | \(-0.238228\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −26.4991 | − | 2.40839i | −1.50748 | − | 0.137008i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −10.1422 | + | 5.85560i | −0.575111 | + | 0.332041i | −0.759188 | − | 0.650871i | \(-0.774404\pi\) |
0.184077 | + | 0.982912i | \(0.441070\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 1.34587 | − | 1.12932i | 0.0760730 | − | 0.0638328i | −0.603958 | − | 0.797016i | \(-0.706411\pi\) |
0.680031 | + | 0.733183i | \(0.261966\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 10.2285 | + | 3.80113i | 0.576309 | + | 0.214170i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −6.59148 | − | 2.39910i | −0.370214 | − | 0.134747i | 0.150211 | − | 0.988654i | \(-0.452005\pi\) |
−0.520426 | + | 0.853907i | \(0.674227\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −30.0021 | + | 5.29018i | −1.67979 | + | 0.296193i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −26.4650 | − | 18.6642i | −1.47713 | − | 1.04174i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −0.668758 | + | 7.25746i | −0.0372107 | + | 0.403816i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −0.288393 | + | 0.343693i | −0.0159971 | + | 0.0190647i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 19.1155 | − | 5.05300i | 1.05709 | − | 0.279431i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −6.71389 | + | 18.4463i | −0.370149 | + | 1.01698i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 1.36720 | + | 0.789353i | 0.0751481 | + | 0.0433868i | 0.537103 | − | 0.843517i | \(-0.319519\pi\) |
−0.461955 | + | 0.886903i | \(0.652852\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 13.2576 | + | 11.2776i | 0.726512 | + | 0.618009i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 8.18517 | + | 14.1771i | 0.447203 | + | 0.774579i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 32.2083 | + | 5.67918i | 1.75450 | + | 0.309365i | 0.956159 | − | 0.292847i | \(-0.0946028\pi\) |
0.798336 | + | 0.602212i | \(0.205714\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0.934186 | − | 0.431791i | 0.0507380 | − | 0.0234517i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −26.7696 | −1.44966 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −19.4590 | −1.05069 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −18.9192 | + | 8.74465i | −1.01857 | + | 0.470796i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −2.28496 | − | 0.402900i | −0.122663 | − | 0.0216288i | 0.111980 | − | 0.993711i | \(-0.464281\pi\) |
−0.234643 | + | 0.972082i | \(0.575392\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 6.90604 | + | 11.9616i | 0.369672 | + | 0.640291i | 0.989514 | − | 0.144436i | \(-0.0461367\pi\) |
−0.619842 | + | 0.784727i | \(0.712803\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 1.86977 | + | 1.33760i | 0.0998007 | + | 0.0713958i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −12.6233 | − | 7.28806i | −0.671870 | − | 0.387904i | 0.124915 | − | 0.992167i | \(-0.460134\pi\) |
−0.796785 | + | 0.604263i | \(0.793468\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 3.52770 | − | 9.69228i | 0.187231 | − | 0.514413i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −5.10098 | + | 1.34839i | −0.269972 | + | 0.0713645i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −12.4925 | + | 14.8880i | −0.659331 | + | 0.785760i | −0.987290 | − | 0.158932i | \(-0.949195\pi\) |
0.327959 | + | 0.944692i | \(0.393639\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 6.66313 | − | 17.7933i | 0.350691 | − | 0.936491i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −16.2858 | − | 11.4854i | −0.854780 | − | 0.602827i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 28.4284 | − | 5.01269i | 1.48801 | − | 0.262376i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 7.10474 | + | 2.58591i | 0.370865 | + | 0.134984i | 0.520727 | − | 0.853723i | \(-0.325661\pi\) |
−0.149863 | + | 0.988707i | \(0.547883\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 4.17666 | − | 11.2390i | 0.217428 | − | 0.585078i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 3.41475 | − | 2.86531i | 0.177285 | − | 0.148760i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −5.00566 | + | 2.89002i | −0.259183 | + | 0.149640i | −0.623962 | − | 0.781455i | \(-0.714478\pi\) |
0.364779 | + | 0.931094i | \(0.381145\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −20.7113 | − | 1.88236i | −1.06953 | − | 0.0972049i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 0.971750 | + | 2.66986i | 0.0500477 | + | 0.137505i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 31.0884i | 1.59690i | 0.602058 | + | 0.798452i | \(0.294347\pi\) | ||||
−0.602058 | + | 0.798452i | \(0.705653\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −1.91602 | − | 22.7844i | −0.0981607 | − | 1.16728i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 6.29971 | − | 2.29291i | 0.321900 | − | 0.117162i | −0.176016 | − | 0.984387i | \(-0.556321\pi\) |
0.497916 | + | 0.867225i | \(0.334099\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −2.99638 | + | 16.9933i | −0.152709 | + | 0.866058i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 23.7722 | + | 28.7216i | 1.20841 | + | 1.46000i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 22.9366 | + | 27.3348i | 1.16293 | + | 1.38593i | 0.908000 | + | 0.418971i | \(0.137609\pi\) |
0.254933 | + | 0.966959i | \(0.417947\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 5.03890 | − | 8.72763i | 0.254828 | − | 0.441375i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −3.21118 | + | 11.8247i | −0.161983 | + | 0.596479i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −3.27957 | − | 18.5994i | −0.165013 | − | 0.935837i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −23.1763 | − | 19.4472i | −1.16319 | − | 0.976029i | −0.163242 | − | 0.986586i | \(-0.552195\pi\) |
−0.999944 | + | 0.0105571i | \(0.996640\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 13.7543 | + | 0.109926i | 0.688577 | + | 0.00550318i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −14.3394 | − | 12.0322i | −0.716074 | − | 0.600858i | 0.210222 | − | 0.977654i | \(-0.432581\pi\) |
−0.926296 | + | 0.376796i | \(0.877026\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0.433526 | + | 2.45865i | 0.0215955 | + | 0.122474i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −0.242228 | + | 17.9667i | −0.0120364 | + | 0.892772i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −13.7619 | + | 23.8363i | −0.682153 | + | 1.18152i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −9.76955 | − | 11.6429i | −0.483073 | − | 0.575704i | 0.468369 | − | 0.883533i | \(-0.344842\pi\) |
−0.951442 | + | 0.307829i | \(0.900398\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 13.3375 | − | 9.27216i | 0.657889 | − | 0.457362i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −1.59895 | + | 9.06811i | −0.0786793 | + | 0.446212i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −1.13368 | + | 0.412626i | −0.0556502 | + | 0.0202550i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 18.6965 | − | 1.57225i | 0.915571 | − | 0.0769936i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | − | 6.74268i | − | 0.329402i | −0.986344 | − | 0.164701i | \(-0.947334\pi\) | ||
0.986344 | − | 0.164701i | \(-0.0526659\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 5.11036 | + | 14.0406i | 0.249064 | + | 0.684297i | 0.999721 | + | 0.0236056i | \(0.00751459\pi\) |
−0.750658 | + | 0.660691i | \(0.770263\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −32.3235 | − | 0.217884i | −1.57162 | − | 0.0105939i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 1.46839 | − | 0.847778i | 0.0712276 | − | 0.0411233i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 14.4836 | − | 12.1532i | 0.700913 | − | 0.588136i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −1.54749 | + | 3.28962i | −0.0747137 | + | 0.158824i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 12.6508 | + | 4.60452i | 0.609368 | + | 0.221792i | 0.628227 | − | 0.778030i | \(-0.283781\pi\) |
−0.0188586 | + | 0.999822i | \(0.506003\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 16.6663 | − | 2.93872i | 0.800933 | − | 0.141226i | 0.241824 | − | 0.970320i | \(-0.422254\pi\) |
0.559109 | + | 0.829094i | \(0.311143\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −12.7983 | + | 18.1474i | −0.613634 | + | 0.870103i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −18.6630 | + | 18.4913i | −0.892772 | + | 0.884558i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 9.65722 | − | 11.5090i | 0.460914 | − | 0.549296i | −0.484660 | − | 0.874702i | \(-0.661057\pi\) |
0.945574 | + | 0.325407i | \(0.105501\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −3.70671 | − | 10.4017i | −0.176510 | − | 0.495321i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −12.6699 | + | 34.8103i | −0.601966 | + | 1.65389i | 0.145320 | + | 0.989385i | \(0.453579\pi\) |
−0.747286 | + | 0.664503i | \(0.768643\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −7.49163 | − | 4.32529i | −0.355137 | − | 0.205039i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 13.7482 | + | 13.8412i | 0.650269 | + | 0.654667i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −5.81501 | − | 10.0719i | −0.274427 | − | 0.475322i | 0.695563 | − | 0.718465i | \(-0.255155\pi\) |
−0.969991 | + | 0.243143i | \(0.921822\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 18.6721 | + | 3.29240i | 0.879236 | + | 0.155033i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 2.57738 | + | 5.57621i | 0.121096 | + | 0.261993i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 1.60927 | 0.0754438 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 15.7379 | 0.736189 | 0.368094 | − | 0.929788i | \(-0.380010\pi\) | ||||
0.368094 | + | 0.929788i | \(0.380010\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −4.91109 | − | 7.16692i | −0.229230 | − | 0.334523i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −5.96078 | − | 1.05105i | −0.277621 | − | 0.0489521i | 0.0331039 | − | 0.999452i | \(-0.489461\pi\) |
−0.310725 | + | 0.950500i | \(0.600572\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −4.59401 | − | 7.95705i | −0.213502 | − | 0.369796i | 0.739306 | − | 0.673369i | \(-0.235154\pi\) |
−0.952808 | + | 0.303574i | \(0.901820\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −13.8441 | + | 13.7511i | −0.642006 | + | 0.637693i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −0.179338 | − | 0.103541i | −0.00829879 | − | 0.00479131i | 0.495845 | − | 0.868411i | \(-0.334858\pi\) |
−0.504144 | + | 0.863620i | \(0.668192\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −5.10928 | + | 14.0376i | −0.235925 | + | 0.648198i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −0.139813 | − | 0.528915i | −0.00644226 | − | 0.0243711i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −37.8972 | + | 45.1642i | −1.74252 | + | 2.07665i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −4.27485 | + | 1.12429i | −0.196144 | + | 0.0515862i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 6.33195 | + | 3.71288i | 0.289920 | + | 0.170001i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −4.92232 | + | 0.867938i | −0.224907 | + | 0.0396571i | −0.284966 | − | 0.958538i | \(-0.591982\pi\) |
0.0600591 | + | 0.998195i | \(0.480871\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 2.41211 | + | 0.877937i | 0.109983 | + | 0.0400305i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −17.2103 | − | 8.09601i | −0.783094 | − | 0.368381i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −3.91408 | + | 3.28430i | −0.177729 | + | 0.149132i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 23.4422 | − | 13.5344i | 1.06227 | − | 0.613300i | 0.136209 | − | 0.990680i | \(-0.456508\pi\) |
0.926059 | + | 0.377380i | \(0.123175\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 0.195820 | − | 2.15457i | 0.00885529 | − | 0.0974332i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −2.14701 | − | 5.89886i | −0.0968931 | − | 0.266212i | 0.881771 | − | 0.471677i | \(-0.156351\pi\) |
−0.978664 | + | 0.205466i | \(0.934129\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | − | 10.7374i | − | 0.483587i | ||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −28.0149 | + | 4.74531i | −1.25918 | + | 0.213286i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 8.84457 | − | 3.21916i | 0.396733 | − | 0.144399i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 3.81949 | − | 21.6614i | 0.170984 | − | 0.969699i | −0.771694 | − | 0.635994i | \(-0.780590\pi\) |
0.942678 | − | 0.333704i | \(-0.108299\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 1.01091 | + | 1.45414i | 0.0451641 | + | 0.0649660i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 6.51623 | + | 7.76574i | 0.290544 | + | 0.346257i | 0.891496 | − | 0.453028i | \(-0.149656\pi\) |
−0.600952 | + | 0.799285i | \(0.705212\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 7.95516 | − | 13.7787i | 0.354000 | − | 0.613146i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −21.4025 | − | 5.81216i | −0.950517 | − | 0.258127i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −1.94826 | − | 11.0492i | −0.0863553 | − | 0.489745i | −0.997056 | − | 0.0766782i | \(-0.975569\pi\) |
0.910701 | − | 0.413067i | \(-0.135543\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 20.1793 | + | 16.9324i | 0.892678 | + | 0.749045i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 7.43220 | + | 21.3954i | 0.328139 | + | 0.944629i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −23.4950 | − | 19.7146i | −1.03531 | − | 0.868730i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −8.87612 | − | 50.3390i | −0.390371 | − | 2.21391i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 25.2594 | + | 6.85956i | 1.10876 | + | 0.301101i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −22.3984 | + | 38.7951i | −0.981290 | + | 1.69964i | −0.323904 | + | 0.946090i | \(0.604995\pi\) |
−0.657386 | + | 0.753554i | \(0.728338\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −25.4174 | − | 30.2913i | −1.11143 | − | 1.32455i | −0.940705 | − | 0.339226i | \(-0.889835\pi\) |
−0.170721 | − | 0.985319i | \(-0.554610\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −1.82657 | − | 2.62742i | −0.0797182 | − | 0.114670i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 1.63837 | − | 9.29163i | 0.0713683 | − | 0.404750i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 12.5243 | − | 4.55849i | 0.544536 | − | 0.198195i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −14.9496 | + | 2.53223i | −0.648756 | + | 0.109889i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | − | 1.76826i | − | 0.0765917i | ||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −12.7671 | − | 35.0773i | −0.551969 | − | 1.51652i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 0.931913 | − | 10.2537i | 0.0402150 | − | 0.442479i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 15.1224 | − | 8.73093i | 0.651368 | − | 0.376068i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 9.00083 | − | 7.55259i | 0.386976 | − | 0.324711i | −0.428458 | − | 0.903562i | \(-0.640943\pi\) |
0.815434 | + | 0.578850i | \(0.196499\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 10.1732 | + | 4.78567i | 0.436576 | + | 0.205373i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 21.4162 | + | 7.79487i | 0.917370 | + | 0.333895i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −3.60851 | + | 0.636278i | −0.154289 | + | 0.0272053i | −0.250259 | − | 0.968179i | \(-0.580516\pi\) |
0.0959702 | + | 0.995384i | \(0.469405\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 26.8570 | + | 15.7482i | 1.14623 | + | 0.672117i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −7.36969 | + | 27.0042i | −0.313959 | + | 1.15042i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 11.0781 | − | 13.2024i | 0.471089 | − | 0.561422i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 5.12726 | + | 19.3964i | 0.217640 | + | 0.823333i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 4.53013 | − | 12.4464i | 0.191948 | − | 0.527372i | −0.805964 | − | 0.591965i | \(-0.798353\pi\) |
0.997912 | + | 0.0645925i | \(0.0205747\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 4.76183 | + | 2.74924i | 0.201404 | + | 0.116281i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 9.74752 | − | 9.68204i | 0.411541 | − | 0.408776i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 2.30395 | + | 3.99056i | 0.0970999 | + | 0.168182i | 0.910483 | − | 0.413546i | \(-0.135710\pi\) |
−0.813383 | + | 0.581728i | \(0.802377\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 1.16824 | + | 0.205993i | 0.0491484 | + | 0.00866619i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −12.7016 | + | 10.3693i | −0.533416 | + | 0.435472i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 24.3659 | 1.02147 | 0.510736 | − | 0.859738i | \(-0.329373\pi\) | ||||
0.510736 | + | 0.859738i | \(0.329373\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 20.9944 | 0.878589 | 0.439294 | − | 0.898343i | \(-0.355228\pi\) | ||||
0.439294 | + | 0.898343i | \(0.355228\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 17.3420 | + | 37.5196i | 0.724470 | + | 1.56740i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 6.01923 | + | 1.06135i | 0.251019 | + | 0.0442614i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −2.59042 | − | 4.48675i | −0.107841 | − | 0.186786i | 0.807055 | − | 0.590477i | \(-0.201060\pi\) |
−0.914895 | + | 0.403691i | \(0.867727\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 2.59197 | + | 2.60950i | 0.107718 | + | 0.108447i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −0.953424 | − | 0.550460i | −0.0395547 | − | 0.0228369i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −3.96996 | + | 10.9074i | −0.164419 | + | 0.451738i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0.889525 | + | 2.49618i | 0.0367773 | + | 0.103204i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −19.9370 | + | 23.7599i | −0.822887 | + | 0.980678i | −0.999994 | − | 0.00351357i | \(-0.998882\pi\) |
0.177107 | + | 0.984192i | \(0.443326\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −10.4978 | + | 22.2437i | −0.432556 | + | 0.916536i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −3.77584 | + | 5.35396i | −0.155317 | + | 0.220232i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −19.0316 | + | 3.35579i | −0.781536 | + | 0.137806i | −0.550161 | − | 0.835059i | \(-0.685434\pi\) |
−0.231375 | + | 0.972865i | \(0.574322\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −5.71492 | − | 2.08006i | −0.234289 | − | 0.0852742i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −10.1724 | + | 21.6241i | −0.416327 | + | 0.885016i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 14.4631 | − | 12.1360i | 0.590946 | − | 0.495863i | −0.297575 | − | 0.954698i | \(-0.596178\pi\) |
0.888521 | + | 0.458836i | \(0.151733\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −9.35958 | + | 5.40376i | −0.381785 | + | 0.220424i | −0.678595 | − | 0.734513i | \(-0.737411\pi\) |
0.296809 | + | 0.954937i | \(0.404077\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −24.5982 | − | 0.165810i | −1.00172 | − | 0.00675231i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −7.85648 | − | 21.5855i | −0.319411 | − | 0.877575i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 7.06408i | 0.286722i | 0.989670 | + | 0.143361i | \(0.0457910\pi\) | ||||
−0.989670 | + | 0.143361i | \(0.954209\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −20.1930 | + | 1.69810i | −0.818260 | + | 0.0688104i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −4.47963 | + | 1.63045i | −0.181226 | + | 0.0659610i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −5.48141 | + | 31.0866i | −0.221392 | + | 1.25558i | 0.648071 | + | 0.761580i | \(0.275576\pi\) |
−0.869463 | + | 0.493998i | \(0.835535\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 11.3477 | − | 7.88888i | 0.457583 | − | 0.318110i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −19.6647 | − | 23.4355i | −0.791672 | − | 0.943478i | 0.207725 | − | 0.978187i | \(-0.433394\pi\) |
−0.999397 | + | 0.0347092i | \(0.988950\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −21.8906 | + | 37.9157i | −0.879859 | + | 1.52396i | −0.0283650 | + | 0.999598i | \(0.509030\pi\) |
−0.851494 | + | 0.524364i | \(0.824303\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 3.04491 | − | 31.1703i | 0.122188 | − | 1.25082i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −1.37078 | − | 7.77406i | −0.0549190 | − | 0.311461i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −14.4792 | − | 12.1495i | −0.579170 | − | 0.485981i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −31.1601 | + | 17.6598i | −1.24442 | + | 0.705264i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −7.43124 | − | 6.23555i | −0.296303 | − | 0.248628i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −0.0934107 | − | 0.529758i | −0.00371862 | − | 0.0210893i | 0.982892 | − | 0.184183i | \(-0.0589639\pi\) |
−0.986611 | + | 0.163094i | \(0.947853\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 7.31692 | − | 26.9436i | 0.290822 | − | 1.07091i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 13.1778 | − | 22.8246i | 0.522944 | − | 0.905765i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −1.04679 | − | 1.24752i | −0.0414755 | − | 0.0494285i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 9.88214 | + | 11.9396i | 0.390932 | + | 0.472324i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 4.01897 | − | 22.7927i | 0.158740 | − | 0.900259i | −0.796547 | − | 0.604577i | \(-0.793342\pi\) |
0.955287 | − | 0.295682i | \(-0.0955467\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 8.18931 | − | 2.98066i | 0.322955 | − | 0.117546i | −0.175455 | − | 0.984487i | \(-0.556140\pi\) |
0.498410 | + | 0.866941i | \(0.333917\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 3.60124 | + | 42.8242i | 0.141799 | + | 1.68620i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | − | 39.9441i | − | 1.57037i | −0.619264 | − | 0.785183i | \(-0.712569\pi\) | ||
0.619264 | − | 0.785183i | \(-0.287431\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −8.20063 | − | 22.5310i | −0.321903 | − | 0.884421i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −17.7332 | − | 1.61169i | −0.695018 | − | 0.0631672i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 1.49337 | − | 0.862200i | 0.0584402 | − | 0.0337405i | −0.470495 | − | 0.882403i | \(-0.655925\pi\) |
0.528935 | + | 0.848662i | \(0.322591\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −10.8193 | + | 9.07851i | −0.422747 | + | 0.354727i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −15.1101 | + | 40.6599i | −0.589502 | + | 1.58629i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 22.0705 | + | 8.03300i | 0.859744 | + | 0.312921i | 0.734006 | − | 0.679142i | \(-0.237648\pi\) |
0.125737 | + | 0.992064i | \(0.459870\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 10.0686 | − | 1.77536i | 0.391622 | − | 0.0690535i | 0.0256300 | − | 0.999671i | \(-0.491841\pi\) |
0.365992 | + | 0.930618i | \(0.380730\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −1.04710 | − | 0.738461i | −0.0406661 | − | 0.0286795i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 12.9452 | + | 9.15379i | 0.501994 | + | 0.354969i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 24.8796 | − | 29.6503i | 0.963341 | − | 1.14807i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 1.79904 | − | 0.475558i | 0.0695548 | − | 0.0183861i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −16.8386 | + | 46.2637i | −0.650047 | + | 1.78599i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −32.9000 | − | 18.9948i | −1.26820 | − | 0.732197i | −0.293555 | − | 0.955942i | \(-0.594838\pi\) |
−0.974648 | + | 0.223745i | \(0.928172\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 3.06581 | − | 4.28555i | 0.118003 | − | 0.164951i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 16.1698 | + | 28.0070i | 0.621457 | + | 1.07640i | 0.989215 | + | 0.146474i | \(0.0467925\pi\) |
−0.367757 | + | 0.929922i | \(0.619874\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −4.59174 | − | 0.809648i | −0.176215 | − | 0.0310714i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −29.5002 | + | 13.6353i | −1.13045 | + | 0.522506i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −27.4952 | −1.05208 | −0.526038 | − | 0.850461i | \(-0.676323\pi\) | ||||
−0.526038 | + | 0.850461i | \(0.676323\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 18.7237 | 0.715396 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 18.2794 | − | 8.44895i | 0.697403 | − | 0.322347i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 1.06608 | + | 0.187978i | 0.0406144 | + | 0.00716141i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −8.55714 | − | 14.8214i | −0.325529 | − | 0.563833i | 0.656090 | − | 0.754682i | \(-0.272209\pi\) |
−0.981619 | + | 0.190850i | \(0.938876\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −19.7498 | − | 16.8002i | −0.750234 | − | 0.638188i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 18.7294 | + | 10.8134i | 0.710448 | + | 0.410178i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −2.28556 | + | 6.27952i | −0.0865717 | + | 0.237854i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 27.2285 | − | 7.19757i | 1.02987 | − | 0.272237i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −24.3781 | + | 29.0527i | −0.920748 | + | 1.09730i | 0.0742333 | + | 0.997241i | \(0.476349\pi\) |
−0.994981 | + | 0.100064i | \(0.968095\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 14.4096 | + | 20.7827i | 0.543467 | + | 0.783836i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −30.4487 | − | 21.4737i | −1.14676 | − | 0.808746i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 14.2982 | − | 2.52116i | 0.537739 | − | 0.0948178i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −18.3247 | − | 6.66963i | −0.688197 | − | 0.250483i | −0.0258338 | − | 0.999666i | \(-0.508224\pi\) |
−0.662363 | + | 0.749183i | \(0.730446\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 26.6019 | + | 9.88587i | 0.997649 | + | 0.370749i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 26.0539 | − | 21.8618i | 0.975724 | − | 0.818730i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −3.62903 | + | 2.09522i | −0.135718 | + | 0.0783568i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 11.7524 | + | 1.06813i | 0.438902 | + | 0.0398900i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 0.618865 | + | 1.70032i | 0.0230798 | + | 0.0634111i | 0.950697 | − | 0.310120i | \(-0.100369\pi\) |
−0.927618 | + | 0.373531i | \(0.878147\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | − | 27.9880i | − | 1.04233i | ||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −2.81711 | − | 33.4997i | −0.104769 | − | 1.24587i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 6.11938 | − | 2.22727i | 0.227268 | − | 0.0827189i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −2.39063 | + | 13.5580i | −0.0886637 | + | 0.502837i | 0.907842 | + | 0.419312i | \(0.137729\pi\) |
−0.996506 | + | 0.0835244i | \(0.973382\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −23.1049 | − | 13.9700i | −0.855738 | − | 0.517409i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −13.3569 | − | 15.9181i | −0.494023 | − | 0.588754i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 3.00825 | − | 5.21044i | 0.111112 | − | 0.192452i | −0.805107 | − | 0.593130i | \(-0.797892\pi\) |
0.916219 | + | 0.400678i | \(0.131225\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 3.33574 | − | 12.2834i | 0.123041 | − | 0.453080i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −6.75474 | − | 38.3080i | −0.248814 | − | 1.41109i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −16.5397 | − | 13.8784i | −0.608421 | − | 0.510526i | 0.285719 | − | 0.958313i | \(-0.407768\pi\) |
−0.894140 | + | 0.447788i | \(0.852212\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 2.12659 | + | 2.57590i | 0.0781222 | + | 0.0946281i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 18.9259 | + | 15.8807i | 0.694322 | + | 0.582606i | 0.920152 | − | 0.391561i | \(-0.128065\pi\) |
−0.225830 | + | 0.974167i | \(0.572509\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 3.90485 | + | 22.1455i | 0.143063 | + | 0.811349i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 0.326825 | − | 1.78314i | 0.0119579 | − | 0.0652418i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 17.0318 | − | 29.4999i | 0.622329 | − | 1.07790i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 14.8918 | + | 17.7473i | 0.543409 | + | 0.647609i | 0.965948 | − | 0.258735i | \(-0.0833057\pi\) |
−0.422540 | + | 0.906344i | \(0.638861\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 24.2934 | − | 16.8887i | 0.885300 | − | 0.615458i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −1.22958 | + | 6.97331i | −0.0447491 | + | 0.253785i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −11.1562 | + | 4.06054i | −0.405480 | + | 0.147583i | −0.536705 | − | 0.843770i | \(-0.680331\pi\) |
0.131225 | + | 0.991353i | \(0.458109\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 49.3512 | − | 4.15012i | 1.79134 | − | 0.150640i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | − | 6.51835i | − | 0.236290i | −0.992996 | − | 0.118145i | \(-0.962305\pi\) | ||
0.992996 | − | 0.118145i | \(-0.0376948\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 7.11311 | + | 19.5431i | 0.257512 | + | 0.707508i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0.0675037 | − | 10.0143i | 0.00244060 | − | 0.362068i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −1.93655 | + | 1.11807i | −0.0699249 | + | 0.0403711i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 6.42301 | − | 5.38954i | 0.231620 | − | 0.194352i | −0.519590 | − | 0.854416i | \(-0.673915\pi\) |
0.751209 | + | 0.660064i | \(0.229471\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −11.6566 | + | 24.7793i | −0.419803 | + | 0.892405i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 15.1689 | + | 5.52103i | 0.545588 | + | 0.198578i | 0.600085 | − | 0.799936i | \(-0.295133\pi\) |
−0.0544971 | + | 0.998514i | \(0.517356\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 5.63528 | − | 0.993653i | 0.202425 | − | 0.0356931i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −10.5515 | + | 14.9615i | −0.378532 | + | 0.536741i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 10.0581 | − | 14.2241i | 0.360370 | − | 0.509632i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −15.7539 | + | 18.7748i | −0.563719 | + | 0.671815i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −13.7956 | − | 30.3831i | −0.493015 | − | 1.08580i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 0.215679 | − | 0.592574i | 0.00769792 | − | 0.0211499i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −19.4065 | − | 11.2044i | −0.691768 | − | 0.399392i | 0.112506 | − | 0.993651i | \(-0.464112\pi\) |
−0.804274 | + | 0.594259i | \(0.797446\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 3.17244 | + | 3.19389i | 0.112942 | + | 0.113706i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 0.541256 | + | 0.937483i | 0.0192449 | + | 0.0333331i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 4.52177 | + | 0.797311i | 0.160573 | + | 0.0283133i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 3.54985 | + | 7.68015i | 0.125900 | + | 0.272387i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 33.1888 | 1.17561 | 0.587804 | − | 0.809003i | \(-0.299993\pi\) | ||||
0.587804 | + | 0.809003i | \(0.299993\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 18.0157 | 0.637350 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 11.3008 | − | 6.42335i | 0.399295 | − | 0.226958i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −67.5512 | − | 11.9111i | −2.38383 | − | 0.420333i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −10.9615 | − | 18.9860i | −0.386344 | − | 0.669167i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −39.2156 | + | 38.9522i | −1.38046 | + | 1.37118i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 35.2784 | + | 20.3680i | 1.24032 | + | 0.716101i | 0.969160 | − | 0.246432i | \(-0.0792581\pi\) |
0.271164 | + | 0.962533i | \(0.412591\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 6.36968 | − | 17.5006i | 0.223670 | − | 0.614528i | −0.776203 | − | 0.630483i | \(-0.782857\pi\) |
0.999873 | + | 0.0159555i | \(0.00507902\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 8.89488 | + | 33.6494i | 0.311957 | + | 1.18013i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 1.60295 | − | 1.91032i | 0.0561488 | − | 0.0669155i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 22.6667 | + | 49.2014i | 0.793009 | + | 1.72134i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −1.22317 | + | 2.08599i | −0.0427410 | + | 0.0728905i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 17.1780 | − | 3.02894i | 0.599515 | − | 0.105711i | 0.134349 | − | 0.990934i | \(-0.457106\pi\) |
0.465166 | + | 0.885223i | \(0.345995\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −13.0772 | − | 4.75972i | −0.455844 | − | 0.165914i | 0.103885 | − | 0.994589i | \(-0.466873\pi\) |
−0.559729 | + | 0.828676i | \(0.689095\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 7.53988 | + | 3.54689i | 0.262505 | + | 0.123487i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −3.80513 | + | 3.19288i | −0.132317 | + | 0.111027i | −0.706545 | − | 0.707669i | \(-0.749747\pi\) |
0.574227 | + | 0.818696i | \(0.305303\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 36.2878 | − | 20.9508i | 1.26033 | − | 0.727650i | 0.287189 | − | 0.957874i | \(-0.407279\pi\) |
0.973138 | + | 0.230224i | \(0.0739460\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −1.26678 | + | 13.9381i | −0.0439440 | + | 0.483508i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 2.10494 | + | 5.78328i | 0.0729319 | + | 0.200379i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 2.04138i | 0.0706448i | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −7.30208 | − | 28.3972i | −0.252397 | − | 0.981550i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 37.7944 | − | 13.7560i | 1.30481 | − | 0.474912i | 0.406249 | − | 0.913763i | \(-0.366837\pi\) |
0.898560 | + | 0.438851i | \(0.144614\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 2.12528 | − | 12.0531i | 0.0732855 | − | 0.415623i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −11.6770 | − | 16.7967i | −0.402177 | − | 0.578509i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −16.4319 | − | 19.5827i | −0.565273 | − | 0.673666i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 10.4809 | − | 18.1534i | 0.360126 | − | 0.623757i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 24.0141 | + | 6.52138i | 0.824161 | + | 0.223813i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −6.07232 | − | 34.4378i | −0.208156 | − | 1.18051i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 25.6859 | + | 21.5531i | 0.879470 | + | 0.737963i | 0.966070 | − | 0.258280i | \(-0.0831558\pi\) |
−0.0866001 | + | 0.996243i | \(0.527600\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −7.04317 | + | 25.1394i | −0.240871 | + | 0.859748i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 0.680362 | + | 0.570892i | 0.0232407 | + | 0.0195013i | 0.654334 | − | 0.756206i | \(-0.272949\pi\) |
−0.631093 | + | 0.775707i | \(0.717393\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 0.641169 | + | 3.63625i | 0.0218764 | + | 0.124067i | 0.993790 | − | 0.111270i | \(-0.0354917\pi\) |
−0.971914 | + | 0.235337i | \(0.924381\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 12.1709 | + | 3.30518i | 0.414782 | + | 0.112640i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 9.90600 | − | 17.1577i | 0.337204 | − | 0.584055i | −0.646701 | − | 0.762743i | \(-0.723852\pi\) |
0.983906 | + | 0.178688i | \(0.0571854\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 19.3930 | + | 23.1117i | 0.659383 | + | 0.785822i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −14.0435 | − | 20.2007i | −0.476941 | − | 0.686052i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −7.79289 | + | 44.1957i | −0.264356 | + | 1.49923i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −3.40900 | + | 1.24078i | −0.115510 | + | 0.0420421i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −1.28222 | − | 7.56988i | −0.0433967 | − | 0.256202i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | − | 21.8750i | − | 0.739511i | ||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −11.7852 | − | 32.3795i | −0.397958 | − | 1.09338i | −0.963278 | − | 0.268508i | \(-0.913470\pi\) |
0.565320 | − | 0.824872i | \(-0.308753\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 0.00101671 | − | 0.0111867i | 3.42928e−5 | − | 0.000377317i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 18.5560 | − | 10.7133i | 0.625166 | − | 0.360940i | −0.153711 | − | 0.988116i | \(-0.549123\pi\) |
0.778878 | + | 0.627176i | \(0.215789\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 26.4524 | − | 22.1962i | 0.890193 | − | 0.746960i | −0.0780562 | − | 0.996949i | \(-0.524871\pi\) |
0.968249 | + | 0.249989i | \(0.0804269\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −15.8149 | − | 7.43958i | −0.531611 | − | 0.250079i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 28.3275 | + | 10.3104i | 0.951145 | + | 0.346189i | 0.770558 | − | 0.637370i | \(-0.219978\pi\) |
0.180588 | + | 0.983559i | \(0.442200\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 23.6850 | − | 4.17631i | 0.794370 | − | 0.140069i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 15.1425 | − | 39.9207i | 0.507292 | − | 1.33739i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −45.3091 | − | 12.3652i | −1.51621 | − | 0.413787i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 7.62847 | − | 9.09125i | 0.254992 | − | 0.303887i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −1.18040 | − | 4.46544i | −0.0394122 | − | 0.149097i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 12.3937 | − | 34.0515i | 0.413354 | − | 1.13568i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −3.54294 | − | 2.04552i | −0.118032 | − | 0.0681460i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −27.8237 | + | 27.6367i | −0.925913 | + | 0.919693i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 6.47953 | + | 11.2229i | 0.215387 | + | 0.373061i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 56.6712 | + | 9.99267i | 1.88174 | + | 0.331801i | 0.992159 | − | 0.124981i | \(-0.0398869\pi\) |
0.889579 | + | 0.456782i | \(0.150998\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 11.8139 | + | 20.7847i | 0.391844 | + | 0.689384i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 38.7915 | 1.28522 | 0.642610 | − | 0.766194i | \(-0.277852\pi\) | ||||
0.642610 | + | 0.766194i | \(0.277852\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 2.86672 | 0.0948747 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 15.0567 | + | 32.5754i | 0.497759 | + | 1.07691i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −12.6926 | − | 2.23804i | −0.419145 | − | 0.0739066i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −28.1669 | − | 48.7865i | −0.929141 | − | 1.60932i | −0.784762 | − | 0.619797i | \(-0.787215\pi\) |
−0.144379 | − | 0.989522i | \(-0.546118\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 16.6312 | + | 16.7437i | 0.548017 | + | 0.551723i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 1.97950 | + | 1.14286i | 0.0651559 | + | 0.0376178i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 2.01225 | − | 5.52862i | 0.0661625 | − | 0.181780i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 43.4128 | − | 15.4704i | 1.42586 | − | 0.508114i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 31.8205 | − | 37.9221i | 1.04400 | − | 1.24418i | 0.0749796 | − | 0.997185i | \(-0.476111\pi\) |
0.969016 | − | 0.247000i | \(-0.0794447\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −1.32447 | − | 15.9896i | −0.0434078 | − | 0.524037i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 11.6906 | − | 16.5767i | 0.382733 | − | 0.542697i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 15.5957 | − | 2.74995i | 0.510035 | − | 0.0899330i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 21.2381 | + | 7.73002i | 0.693817 | + | 0.252529i | 0.664769 | − | 0.747049i | \(-0.268530\pi\) |
0.0290486 | + | 0.999578i | \(0.490752\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −1.29534 | + | 2.75359i | −0.0422717 | + | 0.0898601i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 40.2199 | − | 33.7485i | 1.31113 | − | 1.10017i | 0.323024 | − | 0.946391i | \(-0.395300\pi\) |
0.988105 | − | 0.153778i | \(-0.0491440\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −20.8617 | + | 12.0445i | −0.679349 | + | 0.392222i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −18.8438 | + | 1.45679i | −0.612988 | + | 0.0473895i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −9.84314 | − | 27.0438i | −0.319859 | − | 0.878805i | −0.990560 | − | 0.137078i | \(-0.956229\pi\) |
0.670701 | − | 0.741728i | \(-0.265993\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 6.39712i | 0.207659i | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 12.1067 | − | 1.01810i | 0.392588 | − | 0.0330141i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −1.95076 | + | 0.710020i | −0.0631914 | + | 0.0229998i | −0.373422 | − | 0.927661i | \(-0.621816\pi\) |
0.310231 | + | 0.950661i | \(0.399594\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −8.27327 | + | 46.9200i | −0.267717 | + | 1.51830i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 43.3258 | − | 30.1199i | 1.40052 | − | 0.973639i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 10.9827 | + | 13.0887i | 0.354651 | + | 0.422656i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 0.420731 | − | 0.728727i | 0.0135720 | − | 0.0235073i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 55.1724 | + | 10.1123i | 1.77790 | + | 0.325864i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 0.736186 | + | 4.17512i | 0.0236987 | + | 0.134402i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 2.18110 | + | 1.83016i | 0.0701395 | + | 0.0588540i | 0.677183 | − | 0.735814i | \(-0.263200\pi\) |
−0.607044 | + | 0.794668i | \(0.707645\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −4.22257 | − | 11.8964i | −0.135648 | − | 0.382167i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −0.796470 | − | 0.668318i | −0.0255599 | − | 0.0214473i | 0.629918 | − | 0.776661i | \(-0.283088\pi\) |
−0.655478 | + | 0.755214i | \(0.727533\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 3.42701 | + | 19.4355i | 0.109865 | + | 0.623074i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0.203657 | − | 0.749940i | 0.00652225 | − | 0.0240173i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −17.5242 | + | 30.3529i | −0.560650 | + | 0.971074i | 0.436790 | + | 0.899564i | \(0.356115\pi\) |
−0.997440 | + | 0.0715108i | \(0.977218\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 13.2128 | + | 15.7464i | 0.422282 | + | 0.503256i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −26.3820 | + | 21.8357i | −0.842311 | + | 0.697162i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 3.51109 | − | 19.9124i | 0.111986 | − | 0.635106i | −0.876212 | − | 0.481926i | \(-0.839937\pi\) |
0.988198 | − | 0.153180i | \(-0.0489515\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −7.09625 | + | 2.58283i | −0.226105 | + | 0.0822957i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −2.84915 | − | 33.8808i | −0.0906895 | − | 1.07844i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | − | 74.9059i | − | 2.38187i | ||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −4.51355 | − | 12.4009i | −0.143378 | − | 0.393926i | 0.847130 | − | 0.531386i | \(-0.178329\pi\) |
−0.990507 | + | 0.137459i | \(0.956106\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −2.72317 | − | 0.247498i | −0.0864173 | − | 0.00785411i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −23.8552 | + | 13.7728i | −0.756261 | + | 0.436627i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 20.9990 | − | 17.6202i | 0.665045 | − | 0.558039i | −0.246549 | − | 0.969130i | \(-0.579297\pi\) |
0.911594 | + | 0.411091i | \(0.134852\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −29.0394 | − | 8.09666i | −0.918767 | − | 0.256167i |
(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 | 912.2.cc.c.497.1 | 18 | ||
3.2 | odd | 2 | 912.2.cc.d.497.3 | 18 | |||
4.3 | odd | 2 | 114.2.l.b.41.3 | yes | 18 | ||
12.11 | even | 2 | 114.2.l.a.41.1 | ✓ | 18 | ||
19.13 | odd | 18 | 912.2.cc.d.545.3 | 18 | |||
57.32 | even | 18 | inner | 912.2.cc.c.545.1 | 18 | ||
76.51 | even | 18 | 114.2.l.a.89.1 | yes | 18 | ||
228.203 | odd | 18 | 114.2.l.b.89.3 | yes | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
114.2.l.a.41.1 | ✓ | 18 | 12.11 | even | 2 | ||
114.2.l.a.89.1 | yes | 18 | 76.51 | even | 18 | ||
114.2.l.b.41.3 | yes | 18 | 4.3 | odd | 2 | ||
114.2.l.b.89.3 | yes | 18 | 228.203 | odd | 18 | ||
912.2.cc.c.497.1 | 18 | 1.1 | even | 1 | trivial | ||
912.2.cc.c.545.1 | 18 | 57.32 | even | 18 | inner | ||
912.2.cc.d.497.3 | 18 | 3.2 | odd | 2 | |||
912.2.cc.d.545.3 | 18 | 19.13 | odd | 18 |