Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(344,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.344");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.e (of order \(2\), degree \(1\), 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: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 344.2 | ||
Character | \(\chi\) | \(=\) | 483.344 |
Dual form | 483.2.e.a.344.48 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 2.64103i | − | 1.86749i | −0.357940 | − | 0.933745i | \(-0.616521\pi\) | ||
0.357940 | − | 0.933745i | \(-0.383479\pi\) | |||||||
\(3\) | −1.65834 | + | 0.499912i | −0.957442 | + | 0.288625i | ||||
\(4\) | −4.97503 | −2.48752 | ||||||||
\(5\) | 2.97721 | 1.33145 | 0.665725 | − | 0.746197i | \(-0.268122\pi\) | ||||
0.665725 | + | 0.746197i | \(0.268122\pi\) | |||||||
\(6\) | 1.32028 | + | 4.37972i | 0.539003 | + | 1.78801i | ||||
\(7\) | 1.00000i | 0.377964i | ||||||||
\(8\) | 7.85715i | 2.77792i | ||||||||
\(9\) | 2.50018 | − | 1.65805i | 0.833392 | − | 0.552683i | ||||
\(10\) | − | 7.86291i | − | 2.48647i | ||||||
\(11\) | 5.69716 | 1.71776 | 0.858879 | − | 0.512178i | \(-0.171161\pi\) | ||||
0.858879 | + | 0.512178i | \(0.171161\pi\) | |||||||
\(12\) | 8.25029 | − | 2.48708i | 2.38165 | − | 0.717958i | ||||
\(13\) | 3.06429 | 0.849880 | 0.424940 | − | 0.905222i | \(-0.360295\pi\) | ||||
0.424940 | + | 0.905222i | \(0.360295\pi\) | |||||||
\(14\) | 2.64103 | 0.705845 | ||||||||
\(15\) | −4.93723 | + | 1.48835i | −1.27479 | + | 0.384289i | ||||
\(16\) | 10.8009 | 2.70022 | ||||||||
\(17\) | −5.87514 | −1.42493 | −0.712465 | − | 0.701708i | \(-0.752421\pi\) | ||||
−0.712465 | + | 0.701708i | \(0.752421\pi\) | |||||||
\(18\) | −4.37895 | − | 6.60304i | −1.03213 | − | 1.55635i | ||||
\(19\) | − | 0.0296511i | − | 0.00680244i | −0.999994 | − | 0.00340122i | \(-0.998917\pi\) | ||
0.999994 | − | 0.00340122i | \(-0.00108264\pi\) | |||||||
\(20\) | −14.8117 | −3.31201 | ||||||||
\(21\) | −0.499912 | − | 1.65834i | −0.109090 | − | 0.361879i | ||||
\(22\) | − | 15.0464i | − | 3.20790i | ||||||
\(23\) | 3.33589 | + | 3.44555i | 0.695582 | + | 0.718447i | ||||
\(24\) | −3.92789 | − | 13.0298i | −0.801776 | − | 2.65970i | ||||
\(25\) | 3.86380 | 0.772760 | ||||||||
\(26\) | − | 8.09287i | − | 1.58714i | ||||||
\(27\) | −3.31726 | + | 3.99947i | −0.638407 | + | 0.769699i | ||||
\(28\) | − | 4.97503i | − | 0.940193i | ||||||
\(29\) | − | 8.39999i | − | 1.55984i | −0.625880 | − | 0.779920i | \(-0.715260\pi\) | ||
0.625880 | − | 0.779920i | \(-0.284740\pi\) | |||||||
\(30\) | 3.93076 | + | 13.0394i | 0.717656 | + | 2.38065i | ||||
\(31\) | 4.36910 | 0.784714 | 0.392357 | − | 0.919813i | \(-0.371660\pi\) | ||||
0.392357 | + | 0.919813i | \(0.371660\pi\) | |||||||
\(32\) | − | 12.8112i | − | 2.26472i | ||||||
\(33\) | −9.44782 | + | 2.84808i | −1.64466 | + | 0.495787i | ||||
\(34\) | 15.5164i | 2.66104i | ||||||||
\(35\) | 2.97721i | 0.503241i | ||||||||
\(36\) | −12.4385 | + | 8.24885i | −2.07308 | + | 1.37481i | ||||
\(37\) | − | 6.88542i | − | 1.13196i | −0.824420 | − | 0.565978i | \(-0.808499\pi\) | ||
0.824420 | − | 0.565978i | \(-0.191501\pi\) | |||||||
\(38\) | −0.0783095 | −0.0127035 | ||||||||
\(39\) | −5.08162 | + | 1.53187i | −0.813711 | + | 0.245296i | ||||
\(40\) | 23.3924i | 3.69867i | ||||||||
\(41\) | 7.13205i | 1.11384i | 0.830567 | + | 0.556919i | \(0.188017\pi\) | ||||
−0.830567 | + | 0.556919i | \(0.811983\pi\) | |||||||
\(42\) | −4.37972 | + | 1.32028i | −0.675806 | + | 0.203724i | ||||
\(43\) | − | 3.13957i | − | 0.478780i | −0.970923 | − | 0.239390i | \(-0.923053\pi\) | ||
0.970923 | − | 0.239390i | \(-0.0769475\pi\) | |||||||
\(44\) | −28.3436 | −4.27295 | ||||||||
\(45\) | 7.44356 | − | 4.93636i | 1.10962 | − | 0.735869i | ||||
\(46\) | 9.09980 | − | 8.81019i | 1.34169 | − | 1.29899i | ||||
\(47\) | − | 0.363467i | − | 0.0530172i | −0.999649 | − | 0.0265086i | \(-0.991561\pi\) | ||
0.999649 | − | 0.0265086i | \(-0.00843893\pi\) | |||||||
\(48\) | −17.9115 | + | 5.39950i | −2.58531 | + | 0.779351i | ||||
\(49\) | −1.00000 | −0.142857 | ||||||||
\(50\) | − | 10.2044i | − | 1.44312i | ||||||
\(51\) | 9.74297 | − | 2.93705i | 1.36429 | − | 0.411270i | ||||
\(52\) | −15.2449 | −2.11409 | ||||||||
\(53\) | 3.88569 | 0.533741 | 0.266870 | − | 0.963732i | \(-0.414010\pi\) | ||||
0.266870 | + | 0.963732i | \(0.414010\pi\) | |||||||
\(54\) | 10.5627 | + | 8.76098i | 1.43740 | + | 1.19222i | ||||
\(55\) | 16.9617 | 2.28711 | ||||||||
\(56\) | −7.85715 | −1.04996 | ||||||||
\(57\) | 0.0148230 | + | 0.0491716i | 0.00196335 | + | 0.00651294i | ||||
\(58\) | −22.1846 | −2.91298 | ||||||||
\(59\) | 4.67475i | 0.608600i | 0.952576 | + | 0.304300i | \(0.0984226\pi\) | ||||
−0.952576 | + | 0.304300i | \(0.901577\pi\) | |||||||
\(60\) | 24.5629 | − | 7.40457i | 3.17105 | − | 0.955926i | ||||
\(61\) | − | 15.0345i | − | 1.92497i | −0.271333 | − | 0.962485i | \(-0.587465\pi\) | ||
0.271333 | − | 0.962485i | \(-0.412535\pi\) | |||||||
\(62\) | − | 11.5389i | − | 1.46545i | ||||||
\(63\) | 1.65805 | + | 2.50018i | 0.208894 | + | 0.314992i | ||||
\(64\) | −12.2329 | −1.52911 | ||||||||
\(65\) | 9.12303 | 1.13157 | ||||||||
\(66\) | 7.52186 | + | 24.9520i | 0.925878 | + | 3.07138i | ||||
\(67\) | 5.80252i | 0.708890i | 0.935077 | + | 0.354445i | \(0.115330\pi\) | ||||
−0.935077 | + | 0.354445i | \(0.884670\pi\) | |||||||
\(68\) | 29.2290 | 3.54454 | ||||||||
\(69\) | −7.25451 | − | 4.04623i | −0.873341 | − | 0.487109i | ||||
\(70\) | 7.86291 | 0.939797 | ||||||||
\(71\) | 6.51952i | 0.773725i | 0.922137 | + | 0.386863i | \(0.126441\pi\) | ||||
−0.922137 | + | 0.386863i | \(0.873559\pi\) | |||||||
\(72\) | 13.0275 | + | 19.6443i | 1.53531 | + | 2.31510i | ||||
\(73\) | 0.133529 | 0.0156284 | 0.00781421 | − | 0.999969i | \(-0.497513\pi\) | ||||
0.00781421 | + | 0.999969i | \(0.497513\pi\) | |||||||
\(74\) | −18.1846 | −2.11392 | ||||||||
\(75\) | −6.40749 | + | 1.93156i | −0.739873 | + | 0.223037i | ||||
\(76\) | 0.147515i | 0.0169212i | ||||||||
\(77\) | 5.69716i | 0.649252i | ||||||||
\(78\) | 4.04572 | + | 13.4207i | 0.458088 | + | 1.51960i | ||||
\(79\) | − | 9.73465i | − | 1.09523i | −0.836729 | − | 0.547617i | \(-0.815535\pi\) | ||
0.836729 | − | 0.547617i | \(-0.184465\pi\) | |||||||
\(80\) | 32.1566 | 3.59521 | ||||||||
\(81\) | 3.50175 | − | 8.29082i | 0.389084 | − | 0.921202i | ||||
\(82\) | 18.8359 | 2.08008 | ||||||||
\(83\) | −0.210120 | −0.0230637 | −0.0115318 | − | 0.999934i | \(-0.503671\pi\) | ||||
−0.0115318 | + | 0.999934i | \(0.503671\pi\) | |||||||
\(84\) | 2.48708 | + | 8.25029i | 0.271363 | + | 0.900181i | ||||
\(85\) | −17.4915 | −1.89722 | ||||||||
\(86\) | −8.29170 | −0.894117 | ||||||||
\(87\) | 4.19926 | + | 13.9300i | 0.450208 | + | 1.49346i | ||||
\(88\) | 44.7635i | 4.77180i | ||||||||
\(89\) | −2.19782 | −0.232968 | −0.116484 | − | 0.993193i | \(-0.537162\pi\) | ||||
−0.116484 | + | 0.993193i | \(0.537162\pi\) | |||||||
\(90\) | −13.0371 | − | 19.6586i | −1.37423 | − | 2.07220i | ||||
\(91\) | 3.06429i | 0.321224i | ||||||||
\(92\) | −16.5962 | − | 17.1417i | −1.73027 | − | 1.78715i | ||||
\(93\) | −7.24545 | + | 2.18417i | −0.751318 | + | 0.226488i | ||||
\(94\) | −0.959928 | −0.0990090 | ||||||||
\(95\) | − | 0.0882778i | − | 0.00905711i | ||||||
\(96\) | 6.40446 | + | 21.2453i | 0.653653 | + | 2.16834i | ||||
\(97\) | 2.81310i | 0.285627i | 0.989750 | + | 0.142814i | \(0.0456150\pi\) | ||||
−0.989750 | + | 0.142814i | \(0.954385\pi\) | |||||||
\(98\) | 2.64103i | 0.266784i | ||||||||
\(99\) | 14.2439 | − | 9.44617i | 1.43157 | − | 0.949376i | ||||
\(100\) | −19.2225 | −1.92225 | ||||||||
\(101\) | − | 0.0848816i | − | 0.00844603i | −0.999991 | − | 0.00422302i | \(-0.998656\pi\) | ||
0.999991 | − | 0.00422302i | \(-0.00134423\pi\) | |||||||
\(102\) | −7.75684 | − | 25.7315i | −0.768042 | − | 2.54779i | ||||
\(103\) | 12.4127i | 1.22306i | 0.791222 | + | 0.611529i | \(0.209445\pi\) | ||||
−0.791222 | + | 0.611529i | \(0.790555\pi\) | |||||||
\(104\) | 24.0766i | 2.36090i | ||||||||
\(105\) | −1.48835 | − | 4.93723i | −0.145248 | − | 0.481824i | ||||
\(106\) | − | 10.2622i | − | 0.996755i | ||||||
\(107\) | 0.528479 | 0.0510900 | 0.0255450 | − | 0.999674i | \(-0.491868\pi\) | ||||
0.0255450 | + | 0.999674i | \(0.491868\pi\) | |||||||
\(108\) | 16.5035 | − | 19.8975i | 1.58805 | − | 1.91464i | ||||
\(109\) | − | 1.57761i | − | 0.151108i | −0.997142 | − | 0.0755539i | \(-0.975928\pi\) | ||
0.997142 | − | 0.0755539i | \(-0.0240725\pi\) | |||||||
\(110\) | − | 44.7962i | − | 4.27115i | ||||||
\(111\) | 3.44211 | + | 11.4184i | 0.326710 | + | 1.08378i | ||||
\(112\) | 10.8009i | 1.02059i | ||||||||
\(113\) | −3.00594 | −0.282775 | −0.141387 | − | 0.989954i | \(-0.545156\pi\) | ||||
−0.141387 | + | 0.989954i | \(0.545156\pi\) | |||||||
\(114\) | 0.129864 | − | 0.0391479i | 0.0121628 | − | 0.00366654i | ||||
\(115\) | 9.93167 | + | 10.2581i | 0.926133 | + | 0.956576i | ||||
\(116\) | 41.7902i | 3.88013i | ||||||||
\(117\) | 7.66125 | − | 5.08073i | 0.708283 | − | 0.469714i | ||||
\(118\) | 12.3461 | 1.13655 | ||||||||
\(119\) | − | 5.87514i | − | 0.538573i | ||||||
\(120\) | −11.6942 | − | 38.7925i | −1.06753 | − | 3.54126i | ||||
\(121\) | 21.4576 | 1.95070 | ||||||||
\(122\) | −39.7066 | −3.59486 | ||||||||
\(123\) | −3.56540 | − | 11.8273i | −0.321481 | − | 1.06644i | ||||
\(124\) | −21.7364 | −1.95199 | ||||||||
\(125\) | −3.38271 | −0.302559 | ||||||||
\(126\) | 6.60304 | − | 4.37895i | 0.588245 | − | 0.390108i | ||||
\(127\) | −5.12591 | −0.454851 | −0.227426 | − | 0.973795i | \(-0.573031\pi\) | ||||
−0.227426 | + | 0.973795i | \(0.573031\pi\) | |||||||
\(128\) | 6.68508i | 0.590883i | ||||||||
\(129\) | 1.56951 | + | 5.20647i | 0.138188 | + | 0.458404i | ||||
\(130\) | − | 24.0942i | − | 2.11320i | ||||||
\(131\) | 4.55170i | 0.397684i | 0.980032 | + | 0.198842i | \(0.0637181\pi\) | ||||
−0.980032 | + | 0.198842i | \(0.936282\pi\) | |||||||
\(132\) | 47.0032 | − | 14.1693i | 4.09111 | − | 1.23328i | ||||
\(133\) | 0.0296511 | 0.00257108 | ||||||||
\(134\) | 15.3246 | 1.32384 | ||||||||
\(135\) | −9.87619 | + | 11.9073i | −0.850007 | + | 1.02482i | ||||
\(136\) | − | 46.1618i | − | 3.95834i | ||||||
\(137\) | 7.73358 | 0.660725 | 0.330362 | − | 0.943854i | \(-0.392829\pi\) | ||||
0.330362 | + | 0.943854i | \(0.392829\pi\) | |||||||
\(138\) | −10.6862 | + | 19.1594i | −0.909672 | + | 1.63096i | ||||
\(139\) | −2.87063 | −0.243484 | −0.121742 | − | 0.992562i | \(-0.538848\pi\) | ||||
−0.121742 | + | 0.992562i | \(0.538848\pi\) | |||||||
\(140\) | − | 14.8117i | − | 1.25182i | ||||||
\(141\) | 0.181702 | + | 0.602752i | 0.0153021 | + | 0.0507609i | ||||
\(142\) | 17.2183 | 1.44492 | ||||||||
\(143\) | 17.4577 | 1.45989 | ||||||||
\(144\) | 27.0041 | − | 17.9084i | 2.25034 | − | 1.49237i | ||||
\(145\) | − | 25.0086i | − | 2.07685i | ||||||
\(146\) | − | 0.352655i | − | 0.0291859i | ||||||
\(147\) | 1.65834 | − | 0.499912i | 0.136777 | − | 0.0412321i | ||||
\(148\) | 34.2552i | 2.81576i | ||||||||
\(149\) | 1.46976 | 0.120407 | 0.0602036 | − | 0.998186i | \(-0.480825\pi\) | ||||
0.0602036 | + | 0.998186i | \(0.480825\pi\) | |||||||
\(150\) | 5.10131 | + | 16.9224i | 0.416520 | + | 1.38171i | ||||
\(151\) | −7.69797 | −0.626452 | −0.313226 | − | 0.949679i | \(-0.601410\pi\) | ||||
−0.313226 | + | 0.949679i | \(0.601410\pi\) | |||||||
\(152\) | 0.232973 | 0.0188966 | ||||||||
\(153\) | −14.6889 | + | 9.74126i | −1.18752 | + | 0.787534i | ||||
\(154\) | 15.0464 | 1.21247 | ||||||||
\(155\) | 13.0078 | 1.04481 | ||||||||
\(156\) | 25.2813 | − | 7.62113i | 2.02412 | − | 0.610178i | ||||
\(157\) | 6.13186i | 0.489376i | 0.969602 | + | 0.244688i | \(0.0786856\pi\) | ||||
−0.969602 | + | 0.244688i | \(0.921314\pi\) | |||||||
\(158\) | −25.7095 | −2.04534 | ||||||||
\(159\) | −6.44379 | + | 1.94250i | −0.511026 | + | 0.154051i | ||||
\(160\) | − | 38.1416i | − | 3.01536i | ||||||
\(161\) | −3.44555 | + | 3.33589i | −0.271547 | + | 0.262905i | ||||
\(162\) | −21.8963 | − | 9.24823i | −1.72034 | − | 0.726610i | ||||
\(163\) | −22.4375 | −1.75744 | −0.878719 | − | 0.477339i | \(-0.841602\pi\) | ||||
−0.878719 | + | 0.477339i | \(0.841602\pi\) | |||||||
\(164\) | − | 35.4822i | − | 2.77069i | ||||||
\(165\) | −28.1282 | + | 8.47935i | −2.18978 | + | 0.660116i | ||||
\(166\) | 0.554933i | 0.0430711i | ||||||||
\(167\) | 20.4472i | 1.58225i | 0.611652 | + | 0.791127i | \(0.290505\pi\) | ||||
−0.611652 | + | 0.791127i | \(0.709495\pi\) | |||||||
\(168\) | 13.0298 | − | 3.92789i | 1.00527 | − | 0.303043i | ||||
\(169\) | −3.61015 | −0.277704 | ||||||||
\(170\) | 46.1956i | 3.54304i | ||||||||
\(171\) | −0.0491630 | − | 0.0741330i | −0.00375959 | − | 0.00566909i | ||||
\(172\) | 15.6195i | 1.19097i | ||||||||
\(173\) | 10.1055i | 0.768305i | 0.923270 | + | 0.384152i | \(0.125506\pi\) | ||||
−0.923270 | + | 0.384152i | \(0.874494\pi\) | |||||||
\(174\) | 36.7896 | − | 11.0904i | 2.78901 | − | 0.840758i | ||||
\(175\) | 3.86380i | 0.292076i | ||||||||
\(176\) | 61.5344 | 4.63833 | ||||||||
\(177\) | −2.33696 | − | 7.75232i | −0.175657 | − | 0.582700i | ||||
\(178\) | 5.80450i | 0.435066i | ||||||||
\(179\) | 15.2793i | 1.14203i | 0.820941 | + | 0.571014i | \(0.193450\pi\) | ||||
−0.820941 | + | 0.571014i | \(0.806550\pi\) | |||||||
\(180\) | −37.0319 | + | 24.5586i | −2.76020 | + | 1.83049i | ||||
\(181\) | 2.97839i | 0.221382i | 0.993855 | + | 0.110691i | \(0.0353064\pi\) | ||||
−0.993855 | + | 0.110691i | \(0.964694\pi\) | |||||||
\(182\) | 8.09287 | 0.599883 | ||||||||
\(183\) | 7.51593 | + | 24.9323i | 0.555594 | + | 1.84305i | ||||
\(184\) | −27.0722 | + | 26.2106i | −1.99579 | + | 1.93227i | ||||
\(185\) | − | 20.4994i | − | 1.50714i | ||||||
\(186\) | 5.76845 | + | 19.1355i | 0.422963 | + | 1.40308i | ||||
\(187\) | −33.4716 | −2.44769 | ||||||||
\(188\) | 1.80826i | 0.131881i | ||||||||
\(189\) | −3.99947 | − | 3.31726i | −0.290919 | − | 0.241295i | ||||
\(190\) | −0.233144 | −0.0169141 | ||||||||
\(191\) | −22.0883 | −1.59825 | −0.799126 | − | 0.601163i | \(-0.794704\pi\) | ||||
−0.799126 | + | 0.601163i | \(0.794704\pi\) | |||||||
\(192\) | 20.2863 | − | 6.11537i | 1.46404 | − | 0.441339i | ||||
\(193\) | −4.41676 | −0.317925 | −0.158963 | − | 0.987285i | \(-0.550815\pi\) | ||||
−0.158963 | + | 0.987285i | \(0.550815\pi\) | |||||||
\(194\) | 7.42949 | 0.533406 | ||||||||
\(195\) | −15.1291 | + | 4.56072i | −1.08342 | + | 0.326600i | ||||
\(196\) | 4.97503 | 0.355360 | ||||||||
\(197\) | 5.43432i | 0.387179i | 0.981083 | + | 0.193590i | \(0.0620130\pi\) | ||||
−0.981083 | + | 0.193590i | \(0.937987\pi\) | |||||||
\(198\) | −24.9476 | − | 37.6186i | −1.77295 | − | 2.67343i | ||||
\(199\) | − | 17.1622i | − | 1.21660i | −0.793709 | − | 0.608298i | \(-0.791852\pi\) | ||
0.793709 | − | 0.608298i | \(-0.208148\pi\) | |||||||
\(200\) | 30.3585i | 2.14667i | ||||||||
\(201\) | −2.90075 | − | 9.62254i | −0.204603 | − | 0.678721i | ||||
\(202\) | −0.224175 | −0.0157729 | ||||||||
\(203\) | 8.39999 | 0.589564 | ||||||||
\(204\) | −48.4716 | + | 14.6119i | −3.39369 | + | 1.02304i | ||||
\(205\) | 21.2336i | 1.48302i | ||||||||
\(206\) | 32.7823 | 2.28405 | ||||||||
\(207\) | 14.0532 | + | 3.08341i | 0.976765 | + | 0.214312i | ||||
\(208\) | 33.0970 | 2.29487 | ||||||||
\(209\) | − | 0.168927i | − | 0.0116849i | ||||||
\(210\) | −13.0394 | + | 3.93076i | −0.899802 | + | 0.271248i | ||||
\(211\) | 25.9380 | 1.78565 | 0.892824 | − | 0.450406i | \(-0.148721\pi\) | ||||
0.892824 | + | 0.450406i | \(0.148721\pi\) | |||||||
\(212\) | −19.3314 | −1.32769 | ||||||||
\(213\) | −3.25919 | − | 10.8116i | −0.223316 | − | 0.740797i | ||||
\(214\) | − | 1.39573i | − | 0.0954100i | ||||||
\(215\) | − | 9.34718i | − | 0.637472i | ||||||
\(216\) | −31.4245 | − | 26.0642i | −2.13816 | − | 1.77344i | ||||
\(217\) | 4.36910i | 0.296594i | ||||||||
\(218\) | −4.16652 | −0.282192 | ||||||||
\(219\) | −0.221437 | + | 0.0667530i | −0.0149633 | + | 0.00451075i | ||||
\(220\) | −84.3849 | −5.68923 | ||||||||
\(221\) | −18.0031 | −1.21102 | ||||||||
\(222\) | 30.1562 | − | 9.09070i | 2.02395 | − | 0.610128i | ||||
\(223\) | −1.52846 | −0.102353 | −0.0511767 | − | 0.998690i | \(-0.516297\pi\) | ||||
−0.0511767 | + | 0.998690i | \(0.516297\pi\) | |||||||
\(224\) | 12.8112 | 0.855983 | ||||||||
\(225\) | 9.66018 | − | 6.40636i | 0.644012 | − | 0.427091i | ||||
\(226\) | 7.93877i | 0.528079i | ||||||||
\(227\) | −6.68116 | −0.443444 | −0.221722 | − | 0.975110i | \(-0.571168\pi\) | ||||
−0.221722 | + | 0.975110i | \(0.571168\pi\) | |||||||
\(228\) | −0.0737448 | − | 0.244631i | −0.00488387 | − | 0.0162011i | ||||
\(229\) | − | 0.166695i | − | 0.0110155i | −0.999985 | − | 0.00550777i | \(-0.998247\pi\) | ||
0.999985 | − | 0.00550777i | \(-0.00175319\pi\) | |||||||
\(230\) | 27.0920 | − | 26.2298i | 1.78640 | − | 1.72954i | ||||
\(231\) | −2.84808 | − | 9.44782i | −0.187390 | − | 0.621621i | ||||
\(232\) | 66.0000 | 4.33311 | ||||||||
\(233\) | 0.0170024i | 0.00111386i | 1.00000 | 0.000556932i | \(0.000177277\pi\) | |||||
−1.00000 | 0.000556932i | \(0.999823\pi\) | ||||||||
\(234\) | −13.4184 | − | 20.2336i | −0.877186 | − | 1.32271i | ||||
\(235\) | − | 1.08212i | − | 0.0705897i | ||||||
\(236\) | − | 23.2570i | − | 1.51390i | ||||||
\(237\) | 4.86647 | + | 16.1433i | 0.316111 | + | 1.04862i | ||||
\(238\) | −15.5164 | −1.00578 | ||||||||
\(239\) | − | 17.5776i | − | 1.13700i | −0.822682 | − | 0.568501i | \(-0.807523\pi\) | ||
0.822682 | − | 0.568501i | \(-0.192477\pi\) | |||||||
\(240\) | −53.3265 | + | 16.0755i | −3.44221 | + | 1.03767i | ||||
\(241\) | 8.77557i | 0.565284i | 0.959225 | + | 0.282642i | \(0.0912109\pi\) | ||||
−0.959225 | + | 0.282642i | \(0.908789\pi\) | |||||||
\(242\) | − | 56.6703i | − | 3.64290i | ||||||
\(243\) | −1.66241 | + | 15.4996i | −0.106644 | + | 0.994297i | ||||
\(244\) | 74.7972i | 4.78840i | ||||||||
\(245\) | −2.97721 | −0.190207 | ||||||||
\(246\) | −31.2364 | + | 9.41632i | −1.99156 | + | 0.600362i | ||||
\(247\) | − | 0.0908596i | − | 0.00578125i | ||||||
\(248\) | 34.3287i | 2.17987i | ||||||||
\(249\) | 0.348450 | − | 0.105042i | 0.0220821 | − | 0.00665674i | ||||
\(250\) | 8.93384i | 0.565026i | ||||||||
\(251\) | 16.8897 | 1.06607 | 0.533034 | − | 0.846094i | \(-0.321052\pi\) | ||||
0.533034 | + | 0.846094i | \(0.321052\pi\) | |||||||
\(252\) | −8.24885 | − | 12.4385i | −0.519628 | − | 0.783549i | ||||
\(253\) | 19.0051 | + | 19.6299i | 1.19484 | + | 1.23412i | ||||
\(254\) | 13.5377i | 0.849430i | ||||||||
\(255\) | 29.0069 | − | 8.74423i | 1.81648 | − | 0.547585i | ||||
\(256\) | −6.81030 | −0.425644 | ||||||||
\(257\) | 21.2188i | 1.32359i | 0.749683 | + | 0.661797i | \(0.230206\pi\) | ||||
−0.749683 | + | 0.661797i | \(0.769794\pi\) | |||||||
\(258\) | 13.7504 | − | 4.14512i | 0.856066 | − | 0.258064i | ||||
\(259\) | 6.88542 | 0.427839 | ||||||||
\(260\) | −45.3874 | −2.81481 | ||||||||
\(261\) | −13.9276 | − | 21.0015i | −0.862096 | − | 1.29996i | ||||
\(262\) | 12.0212 | 0.742671 | ||||||||
\(263\) | −2.63161 | −0.162272 | −0.0811359 | − | 0.996703i | \(-0.525855\pi\) | ||||
−0.0811359 | + | 0.996703i | \(0.525855\pi\) | |||||||
\(264\) | −22.3778 | − | 74.2330i | −1.37726 | − | 4.56872i | ||||
\(265\) | 11.5685 | 0.710649 | ||||||||
\(266\) | − | 0.0783095i | − | 0.00480146i | ||||||
\(267\) | 3.64473 | − | 1.09872i | 0.223054 | − | 0.0672403i | ||||
\(268\) | − | 28.8677i | − | 1.76338i | ||||||
\(269\) | − | 0.857217i | − | 0.0522655i | −0.999658 | − | 0.0261327i | \(-0.991681\pi\) | ||
0.999658 | − | 0.0261327i | \(-0.00831925\pi\) | |||||||
\(270\) | 31.4475 | + | 26.0833i | 1.91383 | + | 1.58738i | ||||
\(271\) | −21.4367 | −1.30218 | −0.651092 | − | 0.758999i | \(-0.725689\pi\) | ||||
−0.651092 | + | 0.758999i | \(0.725689\pi\) | |||||||
\(272\) | −63.4567 | −3.84763 | ||||||||
\(273\) | −1.53187 | − | 5.08162i | −0.0927132 | − | 0.307554i | ||||
\(274\) | − | 20.4246i | − | 1.23390i | ||||||
\(275\) | 22.0127 | 1.32741 | ||||||||
\(276\) | 36.0915 | + | 20.1302i | 2.17245 | + | 1.21169i | ||||
\(277\) | −20.3796 | −1.22449 | −0.612245 | − | 0.790668i | \(-0.709733\pi\) | ||||
−0.612245 | + | 0.790668i | \(0.709733\pi\) | |||||||
\(278\) | 7.58143i | 0.454704i | ||||||||
\(279\) | 10.9235 | − | 7.24418i | 0.653974 | − | 0.433698i | ||||
\(280\) | −23.3924 | −1.39796 | ||||||||
\(281\) | −21.9750 | −1.31092 | −0.655459 | − | 0.755231i | \(-0.727525\pi\) | ||||
−0.655459 | + | 0.755231i | \(0.727525\pi\) | |||||||
\(282\) | 1.59189 | − | 0.479880i | 0.0947954 | − | 0.0285764i | ||||
\(283\) | 1.20966i | 0.0719069i | 0.999353 | + | 0.0359534i | \(0.0114468\pi\) | ||||
−0.999353 | + | 0.0359534i | \(0.988553\pi\) | |||||||
\(284\) | − | 32.4349i | − | 1.92465i | ||||||
\(285\) | 0.0441311 | + | 0.146394i | 0.00261410 | + | 0.00867166i | ||||
\(286\) | − | 46.1064i | − | 2.72633i | ||||||
\(287\) | −7.13205 | −0.420991 | ||||||||
\(288\) | −21.2415 | − | 32.0302i | −1.25167 | − | 1.88740i | ||||
\(289\) | 17.5172 | 1.03042 | ||||||||
\(290\) | −66.0483 | −3.87849 | ||||||||
\(291\) | −1.40631 | − | 4.66508i | −0.0824391 | − | 0.273472i | ||||
\(292\) | −0.664313 | −0.0388760 | ||||||||
\(293\) | −4.83884 | −0.282688 | −0.141344 | − | 0.989961i | \(-0.545142\pi\) | ||||
−0.141344 | + | 0.989961i | \(0.545142\pi\) | |||||||
\(294\) | −1.32028 | − | 4.37972i | −0.0770005 | − | 0.255431i | ||||
\(295\) | 13.9177i | 0.810321i | ||||||||
\(296\) | 54.0998 | 3.14449 | ||||||||
\(297\) | −18.8990 | + | 22.7856i | −1.09663 | + | 1.32216i | ||||
\(298\) | − | 3.88167i | − | 0.224859i | ||||||
\(299\) | 10.2221 | + | 10.5581i | 0.591161 | + | 0.610594i | ||||
\(300\) | 31.8775 | − | 9.60958i | 1.84045 | − | 0.554809i | ||||
\(301\) | 3.13957 | 0.180962 | ||||||||
\(302\) | 20.3306i | 1.16989i | ||||||||
\(303\) | 0.0424333 | + | 0.140762i | 0.00243773 | + | 0.00808659i | ||||
\(304\) | − | 0.320259i | − | 0.0183681i | ||||||
\(305\) | − | 44.7609i | − | 2.56300i | ||||||
\(306\) | 25.7269 | + | 38.7937i | 1.47071 | + | 2.21769i | ||||
\(307\) | −16.0756 | −0.917481 | −0.458740 | − | 0.888570i | \(-0.651699\pi\) | ||||
−0.458740 | + | 0.888570i | \(0.651699\pi\) | |||||||
\(308\) | − | 28.3436i | − | 1.61502i | ||||||
\(309\) | −6.20526 | − | 20.5845i | −0.353005 | − | 1.17101i | ||||
\(310\) | − | 34.3538i | − | 1.95117i | ||||||
\(311\) | 13.0394i | 0.739398i | 0.929152 | + | 0.369699i | \(0.120539\pi\) | ||||
−0.929152 | + | 0.369699i | \(0.879461\pi\) | |||||||
\(312\) | −12.0362 | − | 39.9271i | −0.681414 | − | 2.26043i | ||||
\(313\) | − | 26.2250i | − | 1.48233i | −0.671325 | − | 0.741163i | \(-0.734275\pi\) | ||
0.671325 | − | 0.741163i | \(-0.265725\pi\) | |||||||
\(314\) | 16.1944 | 0.913905 | ||||||||
\(315\) | 4.93636 | + | 7.44356i | 0.278133 | + | 0.419397i | ||||
\(316\) | 48.4302i | 2.72441i | ||||||||
\(317\) | − | 9.84289i | − | 0.552832i | −0.961038 | − | 0.276416i | \(-0.910853\pi\) | ||
0.961038 | − | 0.276416i | \(-0.0891467\pi\) | |||||||
\(318\) | 5.13021 | + | 17.0182i | 0.287688 | + | 0.954335i | ||||
\(319\) | − | 47.8561i | − | 2.67943i | ||||||
\(320\) | −36.4199 | −2.03594 | ||||||||
\(321\) | −0.876397 | + | 0.264193i | −0.0489157 | + | 0.0147458i | ||||
\(322\) | 8.81019 | + | 9.09980i | 0.490973 | + | 0.507112i | ||||
\(323\) | 0.174204i | 0.00969299i | ||||||||
\(324\) | −17.4213 | + | 41.2471i | −0.967852 | + | 2.29151i | ||||
\(325\) | 11.8398 | 0.656753 | ||||||||
\(326\) | 59.2580i | 3.28200i | ||||||||
\(327\) | 0.788668 | + | 2.61621i | 0.0436134 | + | 0.144677i | ||||
\(328\) | −56.0376 | −3.09416 | ||||||||
\(329\) | 0.363467 | 0.0200386 | ||||||||
\(330\) | 22.3942 | + | 74.2874i | 1.23276 | + | 4.08938i | ||||
\(331\) | −9.80156 | −0.538742 | −0.269371 | − | 0.963036i | \(-0.586816\pi\) | ||||
−0.269371 | + | 0.963036i | \(0.586816\pi\) | |||||||
\(332\) | 1.04535 | 0.0573712 | ||||||||
\(333\) | −11.4164 | − | 17.2148i | −0.625613 | − | 0.943363i | ||||
\(334\) | 54.0017 | 2.95484 | ||||||||
\(335\) | 17.2753i | 0.943852i | ||||||||
\(336\) | −5.39950 | − | 17.9115i | −0.294567 | − | 0.977155i | ||||
\(337\) | 32.2535i | 1.75696i | 0.477779 | + | 0.878480i | \(0.341442\pi\) | ||||
−0.477779 | + | 0.878480i | \(0.658558\pi\) | |||||||
\(338\) | 9.53452i | 0.518609i | ||||||||
\(339\) | 4.98486 | − | 1.50270i | 0.270740 | − | 0.0816157i | ||||
\(340\) | 87.0210 | 4.71937 | ||||||||
\(341\) | 24.8915 | 1.34795 | ||||||||
\(342\) | −0.195787 | + | 0.129841i | −0.0105870 | + | 0.00702099i | ||||
\(343\) | − | 1.00000i | − | 0.0539949i | ||||||
\(344\) | 24.6681 | 1.33001 | ||||||||
\(345\) | −21.5982 | − | 12.0465i | −1.16281 | − | 0.648562i | ||||
\(346\) | 26.6888 | 1.43480 | ||||||||
\(347\) | − | 30.2615i | − | 1.62452i | −0.583295 | − | 0.812260i | \(-0.698237\pi\) | ||
0.583295 | − | 0.812260i | \(-0.301763\pi\) | |||||||
\(348\) | −20.8915 | − | 69.3024i | −1.11990 | − | 3.71500i | ||||
\(349\) | 28.6110 | 1.53151 | 0.765756 | − | 0.643131i | \(-0.222365\pi\) | ||||
0.765756 | + | 0.643131i | \(0.222365\pi\) | |||||||
\(350\) | 10.2044 | 0.545448 | ||||||||
\(351\) | −10.1650 | + | 12.2555i | −0.542569 | + | 0.654152i | ||||
\(352\) | − | 72.9873i | − | 3.89024i | ||||||
\(353\) | 15.6893i | 0.835057i | 0.908664 | + | 0.417529i | \(0.137104\pi\) | ||||
−0.908664 | + | 0.417529i | \(0.862896\pi\) | |||||||
\(354\) | −20.4741 | + | 6.17199i | −1.08819 | + | 0.328038i | ||||
\(355\) | 19.4100i | 1.03018i | ||||||||
\(356\) | 10.9342 | 0.579512 | ||||||||
\(357\) | 2.93705 | + | 9.74297i | 0.155445 | + | 0.515652i | ||||
\(358\) | 40.3530 | 2.13272 | ||||||||
\(359\) | 29.8665 | 1.57629 | 0.788146 | − | 0.615488i | \(-0.211041\pi\) | ||||
0.788146 | + | 0.615488i | \(0.211041\pi\) | |||||||
\(360\) | 38.7857 | + | 58.4851i | 2.04419 | + | 3.08244i | ||||
\(361\) | 18.9991 | 0.999954 | ||||||||
\(362\) | 7.86602 | 0.413429 | ||||||||
\(363\) | −35.5841 | + | 10.7269i | −1.86768 | + | 0.563018i | ||||
\(364\) | − | 15.2449i | − | 0.799051i | ||||||
\(365\) | 0.397545 | 0.0208085 | ||||||||
\(366\) | 65.8469 | − | 19.8498i | 3.44187 | − | 1.03757i | ||||
\(367\) | − | 33.1989i | − | 1.73297i | −0.499206 | − | 0.866483i | \(-0.666375\pi\) | ||
0.499206 | − | 0.866483i | \(-0.333625\pi\) | |||||||
\(368\) | 36.0306 | + | 37.2150i | 1.87823 | + | 1.93997i | ||||
\(369\) | 11.8253 | + | 17.8314i | 0.615599 | + | 0.928264i | ||||
\(370\) | −54.1394 | −2.81457 | ||||||||
\(371\) | 3.88569i | 0.201735i | ||||||||
\(372\) | 36.0464 | − | 10.8663i | 1.86892 | − | 0.563392i | ||||
\(373\) | − | 22.9230i | − | 1.18691i | −0.804867 | − | 0.593455i | \(-0.797763\pi\) | ||
0.804867 | − | 0.593455i | \(-0.202237\pi\) | |||||||
\(374\) | 88.3995i | 4.57103i | ||||||||
\(375\) | 5.60968 | − | 1.69106i | 0.289683 | − | 0.0873259i | ||||
\(376\) | 2.85582 | 0.147278 | ||||||||
\(377\) | − | 25.7400i | − | 1.32568i | ||||||
\(378\) | −8.76098 | + | 10.5627i | −0.450616 | + | 0.543288i | ||||
\(379\) | − | 33.3674i | − | 1.71397i | −0.515343 | − | 0.856984i | \(-0.672336\pi\) | ||
0.515343 | − | 0.856984i | \(-0.327664\pi\) | |||||||
\(380\) | 0.439185i | 0.0225297i | ||||||||
\(381\) | 8.50050 | − | 2.56251i | 0.435494 | − | 0.131281i | ||||
\(382\) | 58.3358i | 2.98472i | ||||||||
\(383\) | −19.1911 | −0.980621 | −0.490310 | − | 0.871548i | \(-0.663117\pi\) | ||||
−0.490310 | + | 0.871548i | \(0.663117\pi\) | |||||||
\(384\) | −3.34195 | − | 11.0861i | −0.170543 | − | 0.565736i | ||||
\(385\) | 16.9617i | 0.864446i | ||||||||
\(386\) | 11.6648i | 0.593722i | ||||||||
\(387\) | −5.20556 | − | 7.84948i | −0.264614 | − | 0.399012i | ||||
\(388\) | − | 13.9953i | − | 0.710503i | ||||||
\(389\) | 21.5710 | 1.09369 | 0.546847 | − | 0.837233i | \(-0.315828\pi\) | ||||
0.546847 | + | 0.837233i | \(0.315828\pi\) | |||||||
\(390\) | 12.0450 | + | 39.9563i | 0.609921 | + | 2.02327i | ||||
\(391\) | −19.5988 | − | 20.2431i | −0.991155 | − | 1.02374i | ||||
\(392\) | − | 7.85715i | − | 0.396846i | ||||||
\(393\) | −2.27545 | − | 7.54827i | −0.114781 | − | 0.380760i | ||||
\(394\) | 14.3522 | 0.723053 | ||||||||
\(395\) | − | 28.9821i | − | 1.45825i | ||||||
\(396\) | −70.8639 | + | 46.9950i | −3.56104 | + | 2.36159i | ||||
\(397\) | 2.24566 | 0.112707 | 0.0563533 | − | 0.998411i | \(-0.482053\pi\) | ||||
0.0563533 | + | 0.998411i | \(0.482053\pi\) | |||||||
\(398\) | −45.3259 | −2.27198 | ||||||||
\(399\) | −0.0491716 | + | 0.0148230i | −0.00246166 | + | 0.000742077i | ||||
\(400\) | 41.7325 | 2.08662 | ||||||||
\(401\) | −19.2521 | −0.961402 | −0.480701 | − | 0.876885i | \(-0.659618\pi\) | ||||
−0.480701 | + | 0.876885i | \(0.659618\pi\) | |||||||
\(402\) | −25.4134 | + | 7.66096i | −1.26751 | + | 0.382094i | ||||
\(403\) | 13.3882 | 0.666913 | ||||||||
\(404\) | 0.422289i | 0.0210096i | ||||||||
\(405\) | 10.4255 | − | 24.6835i | 0.518046 | − | 1.22654i | ||||
\(406\) | − | 22.1846i | − | 1.10100i | ||||||
\(407\) | − | 39.2273i | − | 1.94443i | ||||||
\(408\) | 23.0769 | + | 76.5520i | 1.14248 | + | 3.78989i | ||||
\(409\) | 6.21653 | 0.307388 | 0.153694 | − | 0.988119i | \(-0.450883\pi\) | ||||
0.153694 | + | 0.988119i | \(0.450883\pi\) | |||||||
\(410\) | 56.0786 | 2.76952 | ||||||||
\(411\) | −12.8249 | + | 3.86611i | −0.632606 | + | 0.190701i | ||||
\(412\) | − | 61.7536i | − | 3.04238i | ||||||
\(413\) | −4.67475 | −0.230029 | ||||||||
\(414\) | 8.14336 | − | 37.1149i | 0.400225 | − | 1.82410i | ||||
\(415\) | −0.625572 | −0.0307081 | ||||||||
\(416\) | − | 39.2571i | − | 1.92474i | ||||||
\(417\) | 4.76048 | − | 1.43507i | 0.233122 | − | 0.0702754i | ||||
\(418\) | −0.446142 | −0.0218215 | ||||||||
\(419\) | −25.0065 | −1.22165 | −0.610825 | − | 0.791766i | \(-0.709162\pi\) | ||||
−0.610825 | + | 0.791766i | \(0.709162\pi\) | |||||||
\(420\) | 7.40457 | + | 24.5629i | 0.361306 | + | 1.19855i | ||||
\(421\) | − | 12.4454i | − | 0.606551i | −0.952903 | − | 0.303275i | \(-0.901920\pi\) | ||
0.952903 | − | 0.303275i | \(-0.0980802\pi\) | |||||||
\(422\) | − | 68.5031i | − | 3.33468i | ||||||
\(423\) | −0.602646 | − | 0.908732i | −0.0293017 | − | 0.0441841i | ||||
\(424\) | 30.5305i | 1.48269i | ||||||||
\(425\) | −22.7003 | −1.10113 | ||||||||
\(426\) | −28.5537 | + | 8.60762i | −1.38343 | + | 0.417040i | ||||
\(427\) | 15.0345 | 0.727571 | ||||||||
\(428\) | −2.62920 | −0.127087 | ||||||||
\(429\) | −28.9508 | + | 8.72733i | −1.39776 | + | 0.421360i | ||||
\(430\) | −24.6862 | −1.19047 | ||||||||
\(431\) | −22.8900 | −1.10257 | −0.551286 | − | 0.834317i | \(-0.685863\pi\) | ||||
−0.551286 | + | 0.834317i | \(0.685863\pi\) | |||||||
\(432\) | −35.8294 | + | 43.1979i | −1.72384 | + | 2.07836i | ||||
\(433\) | − | 5.67879i | − | 0.272905i | −0.990647 | − | 0.136453i | \(-0.956430\pi\) | ||
0.990647 | − | 0.136453i | \(-0.0435702\pi\) | |||||||
\(434\) | 11.5389 | 0.553886 | ||||||||
\(435\) | 12.5021 | + | 41.4727i | 0.599429 | + | 1.98846i | ||||
\(436\) | 7.84867i | 0.375883i | ||||||||
\(437\) | 0.102164 | − | 0.0989130i | 0.00488719 | − | 0.00473165i | ||||
\(438\) | 0.176296 | + | 0.584821i | 0.00842377 | + | 0.0279438i | ||||
\(439\) | −28.9362 | −1.38105 | −0.690524 | − | 0.723309i | \(-0.742620\pi\) | ||||
−0.690524 | + | 0.723309i | \(0.742620\pi\) | |||||||
\(440\) | 133.270i | 6.35342i | ||||||||
\(441\) | −2.50018 | + | 1.65805i | −0.119056 | + | 0.0789547i | ||||
\(442\) | 47.5467i | 2.26157i | ||||||||
\(443\) | 1.01974i | 0.0484494i | 0.999707 | + | 0.0242247i | \(0.00771172\pi\) | ||||
−0.999707 | + | 0.0242247i | \(0.992288\pi\) | |||||||
\(444\) | −17.1246 | − | 56.8067i | −0.812697 | − | 2.69593i | ||||
\(445\) | −6.54337 | −0.310186 | ||||||||
\(446\) | 4.03671i | 0.191144i | ||||||||
\(447\) | −2.43735 | + | 0.734749i | −0.115283 | + | 0.0347525i | ||||
\(448\) | − | 12.2329i | − | 0.577950i | ||||||
\(449\) | 14.8374i | 0.700218i | 0.936709 | + | 0.350109i | \(0.113855\pi\) | ||||
−0.936709 | + | 0.350109i | \(0.886145\pi\) | |||||||
\(450\) | −16.9194 | − | 25.5128i | −0.797588 | − | 1.20269i | ||||
\(451\) | 40.6324i | 1.91331i | ||||||||
\(452\) | 14.9546 | 0.703407 | ||||||||
\(453\) | 12.7658 | − | 3.84831i | 0.599792 | − | 0.180809i | ||||
\(454\) | 17.6451i | 0.828128i | ||||||||
\(455\) | 9.12303i | 0.427694i | ||||||||
\(456\) | −0.386349 | + | 0.116466i | −0.0180924 | + | 0.00545403i | ||||
\(457\) | 2.01671i | 0.0943375i | 0.998887 | + | 0.0471688i | \(0.0150199\pi\) | ||||
−0.998887 | + | 0.0471688i | \(0.984980\pi\) | |||||||
\(458\) | −0.440247 | −0.0205714 | ||||||||
\(459\) | 19.4893 | − | 23.4975i | 0.909685 | − | 1.09677i | ||||
\(460\) | −49.4104 | − | 51.0346i | −2.30377 | − | 2.37950i | ||||
\(461\) | 4.85676i | 0.226202i | 0.993583 | + | 0.113101i | \(0.0360784\pi\) | ||||
−0.993583 | + | 0.113101i | \(0.963922\pi\) | |||||||
\(462\) | −24.9520 | + | 7.52186i | −1.16087 | + | 0.349949i | ||||
\(463\) | 5.71042 | 0.265386 | 0.132693 | − | 0.991157i | \(-0.457638\pi\) | ||||
0.132693 | + | 0.991157i | \(0.457638\pi\) | |||||||
\(464\) | − | 90.7274i | − | 4.21192i | ||||||
\(465\) | −21.5713 | + | 6.50274i | −1.00034 | + | 0.301557i | ||||
\(466\) | 0.0449038 | 0.00208013 | ||||||||
\(467\) | −9.07635 | −0.420003 | −0.210002 | − | 0.977701i | \(-0.567347\pi\) | ||||
−0.210002 | + | 0.977701i | \(0.567347\pi\) | |||||||
\(468\) | −38.1150 | + | 25.2768i | −1.76187 | + | 1.16842i | ||||
\(469\) | −5.80252 | −0.267935 | ||||||||
\(470\) | −2.85791 | −0.131826 | ||||||||
\(471\) | −3.06539 | − | 10.1687i | −0.141246 | − | 0.468549i | ||||
\(472\) | −36.7302 | −1.69064 | ||||||||
\(473\) | − | 17.8866i | − | 0.822429i | ||||||
\(474\) | 42.6351 | − | 12.8525i | 1.95829 | − | 0.590335i | ||||
\(475\) | − | 0.114566i | − | 0.00525665i | ||||||
\(476\) | 29.2290i | 1.33971i | ||||||||
\(477\) | 9.71491 | − | 6.44266i | 0.444815 | − | 0.294989i | ||||
\(478\) | −46.4230 | −2.12334 | ||||||||
\(479\) | 33.9453 | 1.55100 | 0.775500 | − | 0.631348i | \(-0.217498\pi\) | ||||
0.775500 | + | 0.631348i | \(0.217498\pi\) | |||||||
\(480\) | 19.0675 | + | 63.2517i | 0.870306 | + | 2.88703i | ||||
\(481\) | − | 21.0989i | − | 0.962027i | ||||||
\(482\) | 23.1765 | 1.05566 | ||||||||
\(483\) | 4.04623 | − | 7.25451i | 0.184110 | − | 0.330092i | ||||
\(484\) | −106.753 | −4.85239 | ||||||||
\(485\) | 8.37521i | 0.380299i | ||||||||
\(486\) | 40.9348 | + | 4.39047i | 1.85684 | + | 0.199156i | ||||
\(487\) | −20.5818 | −0.932651 | −0.466325 | − | 0.884613i | \(-0.654422\pi\) | ||||
−0.466325 | + | 0.884613i | \(0.654422\pi\) | |||||||
\(488\) | 118.128 | 5.34742 | ||||||||
\(489\) | 37.2089 | − | 11.2168i | 1.68265 | − | 0.507240i | ||||
\(490\) | 7.86291i | 0.355210i | ||||||||
\(491\) | 8.21819i | 0.370882i | 0.982655 | + | 0.185441i | \(0.0593713\pi\) | ||||
−0.982655 | + | 0.185441i | \(0.940629\pi\) | |||||||
\(492\) | 17.7380 | + | 58.8415i | 0.799690 | + | 2.65278i | ||||
\(493\) | 49.3511i | 2.22266i | ||||||||
\(494\) | −0.239963 | −0.0107964 | ||||||||
\(495\) | 42.4071 | − | 28.1233i | 1.90606 | − | 1.26405i | ||||
\(496\) | 47.1902 | 2.11890 | ||||||||
\(497\) | −6.51952 | −0.292441 | ||||||||
\(498\) | −0.277418 | − | 0.920266i | −0.0124314 | − | 0.0412381i | ||||
\(499\) | 26.1361 | 1.17001 | 0.585007 | − | 0.811028i | \(-0.301092\pi\) | ||||
0.585007 | + | 0.811028i | \(0.301092\pi\) | |||||||
\(500\) | 16.8291 | 0.752621 | ||||||||
\(501\) | −10.2218 | − | 33.9084i | −0.456677 | − | 1.51492i | ||||
\(502\) | − | 44.6062i | − | 1.99087i | ||||||
\(503\) | −11.4754 | −0.511662 | −0.255831 | − | 0.966721i | \(-0.582349\pi\) | ||||
−0.255831 | + | 0.966721i | \(0.582349\pi\) | |||||||
\(504\) | −19.6443 | + | 13.0275i | −0.875025 | + | 0.580292i | ||||
\(505\) | − | 0.252711i | − | 0.0112455i | ||||||
\(506\) | 51.8430 | − | 50.1931i | 2.30470 | − | 2.23135i | ||||
\(507\) | 5.98686 | − | 1.80476i | 0.265886 | − | 0.0801522i | ||||
\(508\) | 25.5016 | 1.13145 | ||||||||
\(509\) | 29.7606i | 1.31912i | 0.751653 | + | 0.659559i | \(0.229257\pi\) | ||||
−0.751653 | + | 0.659559i | \(0.770743\pi\) | |||||||
\(510\) | −23.0938 | − | 76.6080i | −1.02261 | − | 3.39226i | ||||
\(511\) | 0.133529i | 0.00590699i | ||||||||
\(512\) | 31.3564i | 1.38577i | ||||||||
\(513\) | 0.118589 | + | 0.0983605i | 0.00523583 | + | 0.00434272i | ||||
\(514\) | 56.0395 | 2.47180 | ||||||||
\(515\) | 36.9552i | 1.62844i | ||||||||
\(516\) | −7.80837 | − | 25.9024i | −0.343744 | − | 1.14029i | ||||
\(517\) | − | 2.07073i | − | 0.0910707i | ||||||
\(518\) | − | 18.1846i | − | 0.798985i | ||||||
\(519\) | −5.05185 | − | 16.7583i | −0.221752 | − | 0.735608i | ||||
\(520\) | 71.6810i | 3.14342i | ||||||||
\(521\) | −32.8107 | −1.43746 | −0.718732 | − | 0.695287i | \(-0.755277\pi\) | ||||
−0.718732 | + | 0.695287i | \(0.755277\pi\) | |||||||
\(522\) | −55.4654 | + | 36.7832i | −2.42766 | + | 1.60996i | ||||
\(523\) | − | 5.82001i | − | 0.254491i | −0.991871 | − | 0.127246i | \(-0.959386\pi\) | ||
0.991871 | − | 0.127246i | \(-0.0406136\pi\) | |||||||
\(524\) | − | 22.6449i | − | 0.989246i | ||||||
\(525\) | −1.93156 | − | 6.40749i | −0.0843002 | − | 0.279646i | ||||
\(526\) | 6.95015i | 0.303041i | ||||||||
\(527\) | −25.6691 | −1.11816 | ||||||||
\(528\) | −102.045 | + | 30.7618i | −4.44094 | + | 1.33874i | ||||
\(529\) | −0.743624 | + | 22.9880i | −0.0323315 | + | 0.999477i | ||||
\(530\) | − | 30.5528i | − | 1.32713i | ||||||
\(531\) | 7.75096 | + | 11.6877i | 0.336363 | + | 0.507203i | ||||
\(532\) | −0.147515 | −0.00639560 | ||||||||
\(533\) | 21.8546i | 0.946629i | ||||||||
\(534\) | −2.90174 | − | 9.62583i | −0.125571 | − | 0.416550i | ||||
\(535\) | 1.57340 | 0.0680238 | ||||||||
\(536\) | −45.5912 | −1.96924 | ||||||||
\(537\) | −7.63830 | − | 25.3382i | −0.329617 | − | 1.09343i | ||||
\(538\) | −2.26394 | −0.0976052 | ||||||||
\(539\) | −5.69716 | −0.245394 | ||||||||
\(540\) | 49.1344 | − | 59.2392i | 2.11441 | − | 2.54925i | ||||
\(541\) | −1.64283 | −0.0706306 | −0.0353153 | − | 0.999376i | \(-0.511244\pi\) | ||||
−0.0353153 | + | 0.999376i | \(0.511244\pi\) | |||||||
\(542\) | 56.6148i | 2.43182i | ||||||||
\(543\) | −1.48894 | − | 4.93919i | −0.0638963 | − | 0.211961i | ||||
\(544\) | 75.2674i | 3.22706i | ||||||||
\(545\) | − | 4.69689i | − | 0.201193i | ||||||
\(546\) | −13.4207 | + | 4.04572i | −0.574354 | + | 0.173141i | ||||
\(547\) | 18.0062 | 0.769891 | 0.384946 | − | 0.922939i | \(-0.374220\pi\) | ||||
0.384946 | + | 0.922939i | \(0.374220\pi\) | |||||||
\(548\) | −38.4748 | −1.64356 | ||||||||
\(549\) | −24.9279 | − | 37.5889i | −1.06390 | − | 1.60425i | ||||
\(550\) | − | 58.1361i | − | 2.47893i | ||||||
\(551\) | −0.249069 | −0.0106107 | ||||||||
\(552\) | 31.7919 | − | 56.9998i | 1.35315 | − | 2.42607i | ||||
\(553\) | 9.73465 | 0.413959 | ||||||||
\(554\) | 53.8231i | 2.28672i | ||||||||
\(555\) | 10.2479 | + | 33.9949i | 0.434998 | + | 1.44300i | ||||
\(556\) | 14.2815 | 0.605671 | ||||||||
\(557\) | 36.4853 | 1.54593 | 0.772966 | − | 0.634447i | \(-0.218772\pi\) | ||||
0.772966 | + | 0.634447i | \(0.218772\pi\) | |||||||
\(558\) | −19.1321 | − | 28.8493i | −0.809926 | − | 1.22129i | ||||
\(559\) | − | 9.62055i | − | 0.406906i | ||||||
\(560\) | 32.1566i | 1.35886i | ||||||||
\(561\) | 55.5072 | − | 16.7329i | 2.34352 | − | 0.706462i | ||||
\(562\) | 58.0366i | 2.44813i | ||||||||
\(563\) | 12.9726 | 0.546728 | 0.273364 | − | 0.961911i | \(-0.411864\pi\) | ||||
0.273364 | + | 0.961911i | \(0.411864\pi\) | |||||||
\(564\) | −0.903973 | − | 2.99871i | −0.0380641 | − | 0.126269i | ||||
\(565\) | −8.94931 | −0.376500 | ||||||||
\(566\) | 3.19475 | 0.134285 | ||||||||
\(567\) | 8.29082 | + | 3.50175i | 0.348182 | + | 0.147060i | ||||
\(568\) | −51.2249 | −2.14935 | ||||||||
\(569\) | −11.1370 | −0.466889 | −0.233444 | − | 0.972370i | \(-0.575000\pi\) | ||||
−0.233444 | + | 0.972370i | \(0.575000\pi\) | |||||||
\(570\) | 0.386632 | − | 0.116552i | 0.0161942 | − | 0.00488181i | ||||
\(571\) | 12.7046i | 0.531673i | 0.964018 | + | 0.265836i | \(0.0856481\pi\) | ||||
−0.964018 | + | 0.265836i | \(0.914352\pi\) | |||||||
\(572\) | −86.8528 | −3.63150 | ||||||||
\(573\) | 36.6299 | − | 11.0422i | 1.53023 | − | 0.461295i | ||||
\(574\) | 18.8359i | 0.786197i | ||||||||
\(575\) | 12.8892 | + | 13.3129i | 0.537518 | + | 0.555187i | ||||
\(576\) | −30.5844 | + | 20.2827i | −1.27435 | + | 0.845114i | ||||
\(577\) | −29.1662 | −1.21421 | −0.607103 | − | 0.794623i | \(-0.707668\pi\) | ||||
−0.607103 | + | 0.794623i | \(0.707668\pi\) | |||||||
\(578\) | − | 46.2635i | − | 1.92431i | ||||||
\(579\) | 7.32448 | − | 2.20799i | 0.304395 | − | 0.0917610i | ||||
\(580\) | 124.418i | 5.16620i | ||||||||
\(581\) | − | 0.210120i | − | 0.00871724i | ||||||
\(582\) | −12.3206 | + | 3.71409i | −0.510706 | + | 0.153954i | ||||
\(583\) | 22.1374 | 0.916838 | ||||||||
\(584\) | 1.04916i | 0.0434146i | ||||||||
\(585\) | 22.8092 | − | 15.1264i | 0.943044 | − | 0.625401i | ||||
\(586\) | 12.7795i | 0.527917i | ||||||||
\(587\) | 15.9105i | 0.656697i | 0.944557 | + | 0.328348i | \(0.106492\pi\) | ||||
−0.944557 | + | 0.328348i | \(0.893508\pi\) | |||||||
\(588\) | −8.25029 | + | 2.48708i | −0.340236 | + | 0.102565i | ||||
\(589\) | − | 0.129549i | − | 0.00533797i | ||||||
\(590\) | 36.7571 | 1.51327 | ||||||||
\(591\) | −2.71668 | − | 9.01195i | −0.111749 | − | 0.370702i | ||||
\(592\) | − | 74.3687i | − | 3.05653i | ||||||
\(593\) | − | 31.1906i | − | 1.28085i | −0.768023 | − | 0.640423i | \(-0.778759\pi\) | ||
0.768023 | − | 0.640423i | \(-0.221241\pi\) | |||||||
\(594\) | 60.1776 | + | 49.9127i | 2.46912 | + | 2.04794i | ||||
\(595\) | − | 17.4915i | − | 0.717083i | ||||||
\(596\) | −7.31209 | −0.299515 | ||||||||
\(597\) | 8.57960 | + | 28.4608i | 0.351140 | + | 1.16482i | ||||
\(598\) | 27.8844 | − | 26.9969i | 1.14028 | − | 1.10399i | ||||
\(599\) | 27.4906i | 1.12324i | 0.827396 | + | 0.561618i | \(0.189821\pi\) | ||||
−0.827396 | + | 0.561618i | \(0.810179\pi\) | |||||||
\(600\) | −15.1766 | − | 50.3446i | −0.619581 | − | 2.05531i | ||||
\(601\) | −19.2230 | −0.784121 | −0.392061 | − | 0.919939i | \(-0.628238\pi\) | ||||
−0.392061 | + | 0.919939i | \(0.628238\pi\) | |||||||
\(602\) | − | 8.29170i | − | 0.337944i | ||||||
\(603\) | 9.62085 | + | 14.5073i | 0.391791 | + | 0.590783i | ||||
\(604\) | 38.2977 | 1.55831 | ||||||||
\(605\) | 63.8840 | 2.59725 | ||||||||
\(606\) | 0.371758 | − | 0.112068i | 0.0151016 | − | 0.00455244i | ||||
\(607\) | −27.8547 | −1.13059 | −0.565294 | − | 0.824890i | \(-0.691237\pi\) | ||||
−0.565294 | + | 0.824890i | \(0.691237\pi\) | |||||||
\(608\) | −0.379866 | −0.0154056 | ||||||||
\(609\) | −13.9300 | + | 4.19926i | −0.564473 | + | 0.170163i | ||||
\(610\) | −118.215 | −4.78638 | ||||||||
\(611\) | − | 1.11377i | − | 0.0450582i | ||||||
\(612\) | 73.0776 | − | 48.4631i | 2.95399 | − | 1.95900i | ||||
\(613\) | 29.3072i | 1.18371i | 0.806046 | + | 0.591853i | \(0.201604\pi\) | ||||
−0.806046 | + | 0.591853i | \(0.798396\pi\) | |||||||
\(614\) | 42.4560i | 1.71339i | ||||||||
\(615\) | −10.6149 | − | 35.2125i | −0.428036 | − | 1.41991i | ||||
\(616\) | −44.7635 | −1.80357 | ||||||||
\(617\) | 14.8774 | 0.598940 | 0.299470 | − | 0.954106i | \(-0.403190\pi\) | ||||
0.299470 | + | 0.954106i | \(0.403190\pi\) | |||||||
\(618\) | −54.3641 | + | 16.3883i | −2.18685 | + | 0.659233i | ||||
\(619\) | 46.4400i | 1.86658i | 0.359123 | + | 0.933290i | \(0.383076\pi\) | ||||
−0.359123 | + | 0.933290i | \(0.616924\pi\) | |||||||
\(620\) | −64.7140 | −2.59898 | ||||||||
\(621\) | −24.8464 | + | 1.91204i | −0.997052 | + | 0.0767275i | ||||
\(622\) | 34.4375 | 1.38082 | ||||||||
\(623\) | − | 2.19782i | − | 0.0880537i | ||||||
\(624\) | −54.8861 | + | 16.5456i | −2.19720 | + | 0.662355i | ||||
\(625\) | −29.3901 | −1.17560 | ||||||||
\(626\) | −69.2611 | −2.76823 | ||||||||
\(627\) | 0.0844488 | + | 0.280139i | 0.00337256 | + | 0.0111877i | ||||
\(628\) | − | 30.5062i | − | 1.21733i | ||||||
\(629\) | 40.4528i | 1.61296i | ||||||||
\(630\) | 19.6586 | − | 13.0371i | 0.783219 | − | 0.519410i | ||||
\(631\) | − | 18.9080i | − | 0.752717i | −0.926474 | − | 0.376359i | \(-0.877176\pi\) | ||
0.926474 | − | 0.376359i | \(-0.122824\pi\) | |||||||
\(632\) | 76.4866 | 3.04247 | ||||||||
\(633\) | −43.0140 | + | 12.9667i | −1.70965 | + | 0.515382i | ||||
\(634\) | −25.9954 | −1.03241 | ||||||||
\(635\) | −15.2609 | −0.605612 | ||||||||
\(636\) | 32.0581 | − | 9.66403i | 1.27119 | − | 0.383204i | ||||
\(637\) | −3.06429 | −0.121411 | ||||||||
\(638\) | −126.389 | −5.00380 | ||||||||
\(639\) | 10.8097 | + | 16.3000i | 0.427625 | + | 0.644816i | ||||
\(640\) | 19.9029i | 0.786731i | ||||||||
\(641\) | 36.9687 | 1.46018 | 0.730088 | − | 0.683353i | \(-0.239479\pi\) | ||||
0.730088 | + | 0.683353i | \(0.239479\pi\) | |||||||
\(642\) | 0.697742 | + | 2.31459i | 0.0275377 | + | 0.0913496i | ||||
\(643\) | 38.9922i | 1.53770i | 0.639429 | + | 0.768851i | \(0.279171\pi\) | ||||
−0.639429 | + | 0.768851i | \(0.720829\pi\) | |||||||
\(644\) | 17.1417 | − | 16.5962i | 0.675479 | − | 0.653981i | ||||
\(645\) | 4.67277 | + | 15.5008i | 0.183990 | + | 0.610343i | ||||
\(646\) | 0.460079 | 0.0181016 | ||||||||
\(647\) | − | 49.0254i | − | 1.92739i | −0.267012 | − | 0.963693i | \(-0.586036\pi\) | ||
0.267012 | − | 0.963693i | \(-0.413964\pi\) | |||||||
\(648\) | 65.1422 | + | 27.5138i | 2.55903 | + | 1.08084i | ||||
\(649\) | 26.6328i | 1.04543i | ||||||||
\(650\) | − | 31.2692i | − | 1.22648i | ||||||
\(651\) | −2.18417 | − | 7.24545i | −0.0856043 | − | 0.283972i | ||||
\(652\) | 111.627 | 4.37166 | ||||||||
\(653\) | 18.6920i | 0.731475i | 0.930718 | + | 0.365738i | \(0.119183\pi\) | ||||
−0.930718 | + | 0.365738i | \(0.880817\pi\) | |||||||
\(654\) | 6.90950 | − | 2.08289i | 0.270183 | − | 0.0814476i | ||||
\(655\) | 13.5514i | 0.529497i | ||||||||
\(656\) | 77.0325i | 3.00761i | ||||||||
\(657\) | 0.333847 | − | 0.221398i | 0.0130246 | − | 0.00863756i | ||||
\(658\) | − | 0.959928i | − | 0.0374219i | ||||||
\(659\) | −36.5702 | −1.42457 | −0.712287 | − | 0.701888i | \(-0.752341\pi\) | ||||
−0.712287 | + | 0.701888i | \(0.752341\pi\) | |||||||
\(660\) | 139.939 | − | 42.1850i | 5.44711 | − | 1.64205i | ||||
\(661\) | − | 44.3752i | − | 1.72600i | −0.505207 | − | 0.862998i | \(-0.668584\pi\) | ||
0.505207 | − | 0.862998i | \(-0.331416\pi\) | |||||||
\(662\) | 25.8862i | 1.00610i | ||||||||
\(663\) | 29.8552 | − | 8.99997i | 1.15948 | − | 0.349530i | ||||
\(664\) | − | 1.65094i | − | 0.0640690i | ||||||
\(665\) | 0.0882778 | 0.00342326 | ||||||||
\(666\) | −45.4647 | + | 30.1509i | −1.76172 | + | 1.16832i | ||||
\(667\) | 28.9426 | − | 28.0215i | 1.12066 | − | 1.08500i | ||||
\(668\) | − | 101.726i | − | 3.93588i | ||||||
\(669\) | 2.53471 | − | 0.764097i | 0.0979975 | − | 0.0295417i | ||||
\(670\) | 45.6246 | 1.76263 | ||||||||
\(671\) | − | 85.6540i | − | 3.30664i | ||||||
\(672\) | −21.2453 | + | 6.40446i | −0.819554 | + | 0.247058i | ||||
\(673\) | −20.4964 | −0.790079 | −0.395040 | − | 0.918664i | \(-0.629269\pi\) | ||||
−0.395040 | + | 0.918664i | \(0.629269\pi\) | |||||||
\(674\) | 85.1824 | 3.28110 | ||||||||
\(675\) | −12.8172 | + | 15.4532i | −0.493335 | + | 0.594793i | ||||
\(676\) | 17.9606 | 0.690793 | ||||||||
\(677\) | −27.0311 | −1.03889 | −0.519445 | − | 0.854504i | \(-0.673861\pi\) | ||||
−0.519445 | + | 0.854504i | \(0.673861\pi\) | |||||||
\(678\) | −3.96869 | − | 13.1652i | −0.152416 | − | 0.505605i | ||||
\(679\) | −2.81310 | −0.107957 | ||||||||
\(680\) | − | 137.434i | − | 5.27034i | ||||||
\(681\) | 11.0796 | − | 3.34000i | 0.424573 | − | 0.127989i | ||||
\(682\) | − | 65.7391i | − | 2.51728i | ||||||
\(683\) | 33.5836i | 1.28504i | 0.766269 | + | 0.642520i | \(0.222111\pi\) | ||||
−0.766269 | + | 0.642520i | \(0.777889\pi\) | |||||||
\(684\) | 0.244588 | + | 0.368814i | 0.00935204 | + | 0.0141020i | ||||
\(685\) | 23.0245 | 0.879722 | ||||||||
\(686\) | −2.64103 | −0.100835 | ||||||||
\(687\) | 0.0833331 | + | 0.276437i | 0.00317936 | + | 0.0105467i | ||||
\(688\) | − | 33.9102i | − | 1.29281i | ||||||
\(689\) | 11.9069 | 0.453615 | ||||||||
\(690\) | −31.8152 | + | 57.0416i | −1.21118 | + | 2.17154i | ||||
\(691\) | 2.23378 | 0.0849769 | 0.0424885 | − | 0.999097i | \(-0.486471\pi\) | ||||
0.0424885 | + | 0.999097i | \(0.486471\pi\) | |||||||
\(692\) | − | 50.2751i | − | 1.91117i | ||||||
\(693\) | 9.44617 | + | 14.2439i | 0.358830 | + | 0.541081i | ||||
\(694\) | −79.9214 | −3.03377 | ||||||||
\(695\) | −8.54649 | −0.324187 | ||||||||
\(696\) | −109.450 | + | 32.9942i | −4.14871 | + | 1.25064i | ||||
\(697\) | − | 41.9017i | − | 1.58714i | ||||||
\(698\) | − | 75.5625i | − | 2.86008i | ||||||
\(699\) | −0.00849971 | − | 0.0281957i | −0.000321489 | − | 0.00106646i | ||||
\(700\) | − | 19.2225i | − | 0.726543i | ||||||
\(701\) | 7.31884 | 0.276429 | 0.138214 | − | 0.990402i | \(-0.455864\pi\) | ||||
0.138214 | + | 0.990402i | \(0.455864\pi\) | |||||||
\(702\) | 32.3672 | + | 26.8461i | 1.22162 | + | 1.01324i | ||||
\(703\) | −0.204161 | −0.00770006 | ||||||||
\(704\) | −69.6928 | −2.62665 | ||||||||
\(705\) | 0.540965 | + | 1.79452i | 0.0203739 | + | 0.0675856i | ||||
\(706\) | 41.4359 | 1.55946 | ||||||||
\(707\) | 0.0848816 | 0.00319230 | ||||||||
\(708\) | 11.6265 | + | 38.5680i | 0.436950 | + | 1.44948i | ||||
\(709\) | 41.0125i | 1.54026i | 0.637889 | + | 0.770128i | \(0.279808\pi\) | ||||
−0.637889 | + | 0.770128i | \(0.720192\pi\) | |||||||
\(710\) | 51.2624 | 1.92384 | ||||||||
\(711\) | −16.1405 | − | 24.3383i | −0.605317 | − | 0.912759i | ||||
\(712\) | − | 17.2686i | − | 0.647168i | ||||||
\(713\) | 14.5749 | + | 15.0540i | 0.545833 | + | 0.563775i | ||||
\(714\) | 25.7315 | − | 7.75684i | 0.962976 | − | 0.290292i | ||||
\(715\) | 51.9754 | 1.94377 | ||||||||
\(716\) | − | 76.0150i | − | 2.84081i | ||||||
\(717\) | 8.78727 | + | 29.1497i | 0.328167 | + | 1.08861i | ||||
\(718\) | − | 78.8782i | − | 2.94371i | ||||||
\(719\) | 17.6763i | 0.659215i | 0.944118 | + | 0.329608i | \(0.106916\pi\) | ||||
−0.944118 | + | 0.329608i | \(0.893084\pi\) | |||||||
\(720\) | 80.3971 | − | 53.3171i | 2.99622 | − | 1.98701i | ||||
\(721\) | −12.4127 | −0.462273 | ||||||||
\(722\) | − | 50.1772i | − | 1.86740i | ||||||
\(723\) | −4.38702 | − | 14.5529i | −0.163155 | − | 0.541227i | ||||
\(724\) | − | 14.8176i | − | 0.550692i | ||||||
\(725\) | − | 32.4559i | − | 1.20538i | ||||||
\(726\) | 28.3302 | + | 93.9785i | 1.05143 | + | 3.48787i | ||||
\(727\) | 11.9348i | 0.442637i | 0.975202 | + | 0.221319i | \(0.0710361\pi\) | ||||
−0.975202 | + | 0.221319i | \(0.928964\pi\) | |||||||
\(728\) | −24.0766 | −0.892337 | ||||||||
\(729\) | −4.99158 | − | 26.5346i | −0.184873 | − | 0.982762i | ||||
\(730\) | − | 1.04993i | − | 0.0388596i | ||||||
\(731\) | 18.4454i | 0.682228i | ||||||||
\(732\) | −37.3920 | − | 124.039i | −1.38205 | − | 4.58461i | ||||
\(733\) | − | 27.5737i | − | 1.01846i | −0.860631 | − | 0.509230i | \(-0.829930\pi\) | ||
0.860631 | − | 0.509230i | \(-0.170070\pi\) | |||||||
\(734\) | −87.6792 | −3.23630 | ||||||||
\(735\) | 4.93723 | − | 1.48835i | 0.182112 | − | 0.0548985i | ||||
\(736\) | 44.1415 | − | 42.7367i | 1.62708 | − | 1.57530i | ||||
\(737\) | 33.0579i | 1.21770i | ||||||||
\(738\) | 47.0931 | − | 31.2309i | 1.73352 | − | 1.14962i | ||||
\(739\) | −2.34767 | −0.0863603 | −0.0431802 | − | 0.999067i | \(-0.513749\pi\) | ||||
−0.0431802 | + | 0.999067i | \(0.513749\pi\) | |||||||
\(740\) | 101.985i | 3.74904i | ||||||||
\(741\) | 0.0454218 | + | 0.150676i | 0.00166861 | + | 0.00553522i | ||||
\(742\) | 10.2622 | 0.376738 | ||||||||
\(743\) | 23.7567 | 0.871550 | 0.435775 | − | 0.900056i | \(-0.356474\pi\) | ||||
0.435775 | + | 0.900056i | \(0.356474\pi\) | |||||||
\(744\) | −17.1613 | − | 56.9286i | −0.629165 | − | 2.08710i | ||||
\(745\) | 4.37578 | 0.160316 | ||||||||
\(746\) | −60.5404 | −2.21654 | ||||||||
\(747\) | −0.525337 | + | 0.348389i | −0.0192211 | + | 0.0127469i | ||||
\(748\) | 166.522 | 6.08866 | ||||||||
\(749\) | 0.528479i | 0.0193102i | ||||||||
\(750\) | −4.46614 | − | 14.8153i | −0.163080 | − | 0.540980i | ||||
\(751\) | 37.3963i | 1.36461i | 0.731068 | + | 0.682305i | \(0.239022\pi\) | ||||
−0.731068 | + | 0.682305i | \(0.760978\pi\) | |||||||
\(752\) | − | 3.92577i | − | 0.143158i | ||||||
\(753\) | −28.0088 | + | 8.44336i | −1.02070 | + | 0.307693i | ||||
\(754\) | −67.9800 | −2.47569 | ||||||||
\(755\) | −22.9185 | −0.834090 | ||||||||
\(756\) | 19.8975 | + | 16.5035i | 0.723666 | + | 0.600226i | ||||
\(757\) | − | 31.8423i | − | 1.15733i | −0.815566 | − | 0.578664i | \(-0.803574\pi\) | ||
0.815566 | − | 0.578664i | \(-0.196426\pi\) | |||||||
\(758\) | −88.1242 | −3.20082 | ||||||||
\(759\) | −41.3301 | − | 23.0520i | −1.50019 | − | 0.836736i | ||||
\(760\) | 0.693612 | 0.0251599 | ||||||||
\(761\) | − | 5.12460i | − | 0.185767i | −0.995677 | − | 0.0928833i | \(-0.970392\pi\) | ||
0.995677 | − | 0.0928833i | \(-0.0296084\pi\) | |||||||
\(762\) | −6.76765 | − | 22.4501i | −0.245166 | − | 0.813280i | ||||
\(763\) | 1.57761 | 0.0571134 | ||||||||
\(764\) | 109.890 | 3.97568 | ||||||||
\(765\) | −43.7319 | + | 29.0018i | −1.58113 | + | 1.04856i | ||||
\(766\) | 50.6843i | 1.83130i | ||||||||
\(767\) | 14.3248i | 0.517237i | ||||||||
\(768\) | 11.2938 | − | 3.40455i | 0.407530 | − | 0.122851i | ||||
\(769\) | − | 46.0132i | − | 1.65928i | −0.558299 | − | 0.829639i | \(-0.688546\pi\) | ||
0.558299 | − | 0.829639i | \(-0.311454\pi\) | |||||||
\(770\) | 44.7962 | 1.61434 | ||||||||
\(771\) | −10.6076 | − | 35.1880i | −0.382022 | − | 1.26726i | ||||
\(772\) | 21.9735 | 0.790844 | ||||||||
\(773\) | 38.5121 | 1.38518 | 0.692592 | − | 0.721330i | \(-0.256469\pi\) | ||||
0.692592 | + | 0.721330i | \(0.256469\pi\) | |||||||
\(774\) | −20.7307 | + | 13.7480i | −0.745150 | + | 0.494163i | ||||
\(775\) | 16.8813 | 0.606395 | ||||||||
\(776\) | −22.1030 | −0.793451 | ||||||||
\(777\) | −11.4184 | + | 3.44211i | −0.409631 | + | 0.123485i | ||||
\(778\) | − | 56.9696i | − | 2.04246i | ||||||
\(779\) | 0.211473 | 0.00757681 | ||||||||
\(780\) | 75.2677 | − | 22.6897i | 2.69502 | − | 0.812422i | ||||
\(781\) | 37.1428i | 1.32907i | ||||||||
\(782\) | −53.4625 | + | 51.7611i | −1.91182 | + | 1.85097i | ||||
\(783\) | 33.5955 | + | 27.8649i | 1.20061 | + | 0.995812i | ||||
\(784\) | −10.8009 | −0.385746 | ||||||||
\(785\) | 18.2559i | 0.651580i | ||||||||
\(786\) | −19.9352 | + | 6.00954i | −0.711065 | + | 0.214353i | ||||
\(787\) | 40.2100i | 1.43333i | 0.697416 | + | 0.716667i | \(0.254333\pi\) | ||||
−0.697416 | + | 0.716667i | \(0.745667\pi\) | |||||||
\(788\) | − | 27.0359i | − | 0.963115i | ||||||
\(789\) | 4.36410 | − | 1.31557i | 0.155366 | − | 0.0468356i | ||||
\(790\) | −76.5427 | −2.72327 | ||||||||
\(791\) | − | 3.00594i | − | 0.106879i | ||||||
\(792\) | 74.2200 | + | 111.916i | 2.63729 | + | 3.97678i | ||||
\(793\) | − | 46.0700i | − | 1.63599i | ||||||
\(794\) | − | 5.93086i | − | 0.210478i | ||||||
\(795\) | −19.1845 | + | 5.78325i | −0.680406 | + | 0.205111i | ||||
\(796\) | 85.3826i | 3.02630i | ||||||||
\(797\) | −22.6796 | −0.803351 | −0.401676 | − | 0.915782i | \(-0.631572\pi\) | ||||
−0.401676 | + | 0.915782i | \(0.631572\pi\) | |||||||
\(798\) | 0.0391479 | + | 0.129864i | 0.00138582 | + | 0.00459712i | ||||
\(799\) | 2.13542i | 0.0755457i | ||||||||
\(800\) | − | 49.4998i | − | 1.75008i | ||||||
\(801\) | −5.49493 | + | 3.64409i | −0.194154 | + | 0.128758i | ||||
\(802\) | 50.8452i | 1.79541i | ||||||||
\(803\) | 0.760738 | 0.0268459 | ||||||||
\(804\) | 14.4313 | + | 47.8724i | 0.508954 | + | 1.68833i | ||||
\(805\) | −10.2581 | + | 9.93167i | −0.361552 | + | 0.350045i | ||||
\(806\) | − | 35.3586i | − | 1.24545i | ||||||
\(807\) | 0.428533 | + | 1.42156i | 0.0150851 | + | 0.0500412i | ||||
\(808\) | 0.666927 | 0.0234624 | ||||||||
\(809\) | 29.5367i | 1.03846i | 0.854636 | + | 0.519228i | \(0.173780\pi\) | ||||
−0.854636 | + | 0.519228i | \(0.826220\pi\) | |||||||
\(810\) | −65.1900 | − | 27.5340i | −2.29054 | − | 0.967445i | ||||
\(811\) | −18.1305 | −0.636649 | −0.318325 | − | 0.947982i | \(-0.603120\pi\) | ||||
−0.318325 | + | 0.947982i | \(0.603120\pi\) | |||||||
\(812\) | −41.7902 | −1.46655 | ||||||||
\(813\) | 35.5492 | − | 10.7164i | 1.24677 | − | 0.375842i | ||||
\(814\) | −103.601 | −3.63120 | ||||||||
\(815\) | −66.8012 | −2.33994 | ||||||||
\(816\) | 105.233 | − | 31.7228i | 3.68388 | − | 1.11052i | ||||
\(817\) | −0.0930919 | −0.00325687 | ||||||||
\(818\) | − | 16.4180i | − | 0.574043i | ||||||
\(819\) | 5.08073 | + | 7.66125i | 0.177535 | + | 0.267706i | ||||
\(820\) | − | 105.638i | − | 3.68904i | ||||||
\(821\) | − | 6.88215i | − | 0.240189i | −0.992762 | − | 0.120094i | \(-0.961680\pi\) | ||
0.992762 | − | 0.120094i | \(-0.0383197\pi\) | |||||||
\(822\) | 10.2105 | + | 33.8709i | 0.356133 | + | 1.18138i | ||||
\(823\) | 0.984534 | 0.0343187 | 0.0171593 | − | 0.999853i | \(-0.494538\pi\) | ||||
0.0171593 | + | 0.999853i | \(0.494538\pi\) | |||||||
\(824\) | −97.5284 | −3.39756 | ||||||||
\(825\) | −36.5045 | + | 11.0044i | −1.27092 | + | 0.383124i | ||||
\(826\) | 12.3461i | 0.429577i | ||||||||
\(827\) | 34.8002 | 1.21012 | 0.605061 | − | 0.796179i | \(-0.293149\pi\) | ||||
0.605061 | + | 0.796179i | \(0.293149\pi\) | |||||||
\(828\) | −69.9152 | − | 15.3401i | −2.42972 | − | 0.533104i | ||||
\(829\) | −3.76677 | −0.130825 | −0.0654126 | − | 0.997858i | \(-0.520836\pi\) | ||||
−0.0654126 | + | 0.997858i | \(0.520836\pi\) | |||||||
\(830\) | 1.65215i | 0.0573471i | ||||||||
\(831\) | 33.7962 | − | 10.1880i | 1.17238 | − | 0.353418i | ||||
\(832\) | −37.4851 | −1.29956 | ||||||||
\(833\) | 5.87514 | 0.203561 | ||||||||
\(834\) | −3.79005 | − | 12.5726i | −0.131239 | − | 0.435353i | ||||
\(835\) | 60.8758i | 2.10669i | ||||||||
\(836\) | 0.840419i | 0.0290665i | ||||||||
\(837\) | −14.4934 | + | 17.4741i | −0.500967 | + | 0.603994i | ||||
\(838\) | 66.0430i | 2.28142i | ||||||||
\(839\) | −2.33429 | −0.0805886 | −0.0402943 | − | 0.999188i | \(-0.512830\pi\) | ||||
−0.0402943 | + | 0.999188i | \(0.512830\pi\) | |||||||
\(840\) | 38.7925 | − | 11.6942i | 1.33847 | − | 0.403487i | ||||
\(841\) | −41.5599 | −1.43310 | ||||||||
\(842\) | −32.8686 | −1.13273 | ||||||||
\(843\) | 36.4420 | − | 10.9856i | 1.25513 | − | 0.378363i | ||||
\(844\) | −129.043 | −4.44183 | ||||||||
\(845\) | −10.7482 | −0.369749 | ||||||||
\(846\) | −2.39999 | + | 1.59161i | −0.0825133 | + | 0.0547206i | ||||
\(847\) | 21.4576i | 0.737294i | ||||||||
\(848\) | 41.9689 | 1.44122 | ||||||||
\(849\) | −0.604724 | − | 2.00603i | −0.0207541 | − | 0.0688467i | ||||
\(850\) | 59.9523i | 2.05635i | ||||||||
\(851\) | 23.7241 | − | 22.9690i | 0.813250 | − | 0.787368i | ||||
\(852\) | 16.2146 | + | 53.7880i | 0.555503 | + | 1.84275i | ||||
\(853\) | −30.5014 | −1.04435 | −0.522174 | − | 0.852839i | \(-0.674879\pi\) | ||||
−0.522174 | + | 0.852839i | \(0.674879\pi\) | |||||||
\(854\) | − | 39.7066i | − | 1.35873i | ||||||
\(855\) | −0.146369 | − | 0.220710i | −0.00500571 | − | 0.00754812i | ||||
\(856\) | 4.15234i | 0.141924i | ||||||||
\(857\) | − | 51.3227i | − | 1.75315i | −0.481265 | − | 0.876575i | \(-0.659823\pi\) | ||
0.481265 | − | 0.876575i | \(-0.340177\pi\) | |||||||
\(858\) | 23.0491 | + | 76.4600i | 0.786885 | + | 2.61030i | ||||
\(859\) | 29.2077 | 0.996553 | 0.498277 | − | 0.867018i | \(-0.333966\pi\) | ||||
0.498277 | + | 0.867018i | \(0.333966\pi\) | |||||||
\(860\) | 46.5025i | 1.58572i | ||||||||
\(861\) | 11.8273 | − | 3.56540i | 0.403075 | − | 0.121508i | ||||
\(862\) | 60.4531i | 2.05904i | ||||||||
\(863\) | 9.57045i | 0.325782i | 0.986644 | + | 0.162891i | \(0.0520819\pi\) | ||||
−0.986644 | + | 0.162891i | \(0.947918\pi\) | |||||||
\(864\) | 51.2380 | + | 42.4980i | 1.74315 | + | 1.44581i | ||||
\(865\) | 30.0861i | 1.02296i | ||||||||
\(866\) | −14.9979 | −0.509648 | ||||||||
\(867\) | −29.0495 | + | 8.75707i | −0.986572 | + | 0.297406i | ||||
\(868\) | − | 21.7364i | − | 0.737783i | ||||||
\(869\) | − | 55.4599i | − | 1.88135i | ||||||
\(870\) | 109.531 | − | 33.0184i | 3.71343 | − | 1.11943i | ||||
\(871\) | 17.7806i | 0.602471i | ||||||||
\(872\) | 12.3955 | 0.419766 | ||||||||
\(873\) | 4.66426 | + | 7.03325i | 0.157861 | + | 0.238040i | ||||
\(874\) | −0.261232 | − | 0.269819i | −0.00883631 | − | 0.00912677i | ||||
\(875\) | − | 3.38271i | − | 0.114357i | ||||||
\(876\) | 1.10166 | − | 0.332098i | 0.0372215 | − | 0.0112206i | ||||
\(877\) | −35.5188 | −1.19938 | −0.599692 | − | 0.800231i | \(-0.704710\pi\) | ||||
−0.599692 | + | 0.800231i | \(0.704710\pi\) | |||||||
\(878\) | 76.4213i | 2.57909i | ||||||||
\(879\) | 8.02443 | − | 2.41899i | 0.270657 | − | 0.0815907i | ||||
\(880\) | 183.201 | 6.17571 | ||||||||
\(881\) | 29.3840 | 0.989972 | 0.494986 | − | 0.868901i | \(-0.335173\pi\) | ||||
0.494986 | + | 0.868901i | \(0.335173\pi\) | |||||||
\(882\) | 4.37895 | + | 6.60304i | 0.147447 | + | 0.222336i | ||||
\(883\) | −8.68000 | −0.292105 | −0.146053 | − | 0.989277i | \(-0.546657\pi\) | ||||
−0.146053 | + | 0.989277i | \(0.546657\pi\) | |||||||
\(884\) | 89.5660 | 3.01243 | ||||||||
\(885\) | −6.95764 | − | 23.0803i | −0.233879 | − | 0.775836i | ||||
\(886\) | 2.69317 | 0.0904787 | ||||||||
\(887\) | − | 9.20195i | − | 0.308971i | −0.987995 | − | 0.154486i | \(-0.950628\pi\) | ||
0.987995 | − | 0.154486i | \(-0.0493720\pi\) | |||||||
\(888\) | −89.7158 | + | 27.0451i | −3.01066 | + | 0.907576i | ||||
\(889\) | − | 5.12591i | − | 0.171918i | ||||||
\(890\) | 17.2812i | 0.579268i | ||||||||
\(891\) | 19.9501 | − | 47.2341i | 0.668352 | − | 1.58240i | ||||
\(892\) | 7.60415 | 0.254606 | ||||||||
\(893\) | −0.0107772 | −0.000360646 | ||||||||
\(894\) | 1.94049 | + | 6.43712i | 0.0648999 | + | 0.215290i | ||||
\(895\) | 45.4897i | 1.52055i | ||||||||
\(896\) | −6.68508 | −0.223333 | ||||||||
\(897\) | −22.2299 | − | 12.3988i | −0.742235 | − | 0.413985i | ||||
\(898\) | 39.1859 | 1.30765 | ||||||||
\(899\) | − | 36.7004i | − | 1.22403i | ||||||
\(900\) | −48.0597 | + | 31.8719i | −1.60199 | + | 1.06240i | ||||
\(901\) | −22.8290 | −0.760543 | ||||||||
\(902\) | 107.311 | 3.57308 | ||||||||
\(903\) | −5.20647 | + | 1.56951i | −0.173261 | + | 0.0522300i | ||||
\(904\) | − | 23.6181i | − | 0.785526i | ||||||
\(905\) | 8.86731i | 0.294759i | ||||||||
\(906\) | −10.1635 | − | 33.7150i | −0.337660 | − | 1.12011i | ||||
\(907\) | − | 1.87741i | − | 0.0623383i | −0.999514 | − | 0.0311692i | \(-0.990077\pi\) | ||
0.999514 | − | 0.0311692i | \(-0.00992306\pi\) | |||||||
\(908\) | 33.2390 | 1.10308 | ||||||||
\(909\) | −0.140738 | − | 0.212219i | −0.00466797 | − | 0.00703885i | ||||
\(910\) | 24.0942 | 0.798715 | ||||||||
\(911\) | 17.8572 | 0.591635 | 0.295818 | − | 0.955244i | \(-0.404408\pi\) | ||||
0.295818 | + | 0.955244i | \(0.404408\pi\) | |||||||
\(912\) | 0.160101 | + | 0.531098i | 0.00530148 | + | 0.0175864i | ||||
\(913\) | −1.19709 | −0.0396178 | ||||||||
\(914\) | 5.32618 | 0.176174 | ||||||||
\(915\) | 22.3765 | + | 74.2288i | 0.739745 | + | 2.45393i | ||||
\(916\) | 0.829315i | 0.0274013i | ||||||||
\(917\) | −4.55170 | −0.150310 | ||||||||
\(918\) | −62.0575 | − | 51.4719i | −2.04820 | − | 1.69883i | ||||
\(919\) | − | 5.04096i | − | 0.166286i | −0.996538 | − | 0.0831430i | \(-0.973504\pi\) | ||
0.996538 | − | 0.0831430i | \(-0.0264958\pi\) | |||||||
\(920\) | −80.5997 | + | 78.0346i | −2.65729 | + | 2.57272i | ||||
\(921\) | 26.6587 | − | 8.03637i | 0.878435 | − | 0.264807i | ||||
\(922\) | 12.8269 | 0.422430 | ||||||||
\(923\) | 19.9777i | 0.657574i | ||||||||
\(924\) | 14.1693 | + | 47.0032i | 0.466136 | + | 1.54629i | ||||
\(925\) | − | 26.6039i | − | 0.874730i | ||||||
\(926\) | − | 15.0814i | − | 0.495605i | ||||||
\(927\) | 20.5808 | + | 31.0339i | 0.675964 | + | 1.01929i | ||||
\(928\) | −107.614 | −3.53259 | ||||||||
\(929\) | − | 56.0235i | − | 1.83807i | −0.394175 | − | 0.919035i | \(-0.628970\pi\) | ||
0.394175 | − | 0.919035i | \(-0.371030\pi\) | |||||||
\(930\) | 17.1739 | + | 56.9703i | 0.563155 | + | 1.86813i | ||||
\(931\) | 0.0296511i | 0.000971777i | ||||||||
\(932\) | − | 0.0845875i | − | 0.00277076i | ||||||
\(933\) | −6.51857 | − | 21.6238i | −0.213408 | − | 0.707931i | ||||
\(934\) | 23.9709i | 0.784352i | ||||||||
\(935\) | −99.6521 | −3.25897 | ||||||||
\(936\) | 39.9201 | + | 60.1956i | 1.30483 | + | 1.96756i | ||||
\(937\) | 25.8101i | 0.843178i | 0.906787 | + | 0.421589i | \(0.138528\pi\) | ||||
−0.906787 | + | 0.421589i | \(0.861472\pi\) | |||||||
\(938\) | 15.3246i | 0.500366i | ||||||||
\(939\) | 13.1102 | + | 43.4900i | 0.427836 | + | 1.41924i | ||||
\(940\) | 5.38358i | 0.175593i | ||||||||
\(941\) | 10.3630 | 0.337823 | 0.168912 | − | 0.985631i | \(-0.445975\pi\) | ||||
0.168912 | + | 0.985631i | \(0.445975\pi\) | |||||||
\(942\) | −26.8559 | + | 8.09580i | −0.875011 | + | 0.263775i | ||||
\(943\) | −24.5738 | + | 23.7917i | −0.800234 | + | 0.774766i | ||||
\(944\) | 50.4915i | 1.64336i | ||||||||
\(945\) | −11.9073 | − | 9.87619i | −0.387344 | − | 0.321272i | ||||
\(946\) | −47.2392 | −1.53588 | ||||||||
\(947\) | − | 52.0354i | − | 1.69092i | −0.534036 | − | 0.845462i | \(-0.679325\pi\) | ||
0.534036 | − | 0.845462i | \(-0.320675\pi\) | |||||||
\(948\) | −24.2109 | − | 80.3137i | −0.786332 | − | 2.60847i | ||||
\(949\) | 0.409172 | 0.0132823 | ||||||||
\(950\) | −0.302572 | −0.00981674 | ||||||||
\(951\) | 4.92058 | + | 16.3229i | 0.159561 | + | 0.529305i | ||||
\(952\) | 46.1618 | 1.49611 | ||||||||
\(953\) | 36.0016 | 1.16621 | 0.583103 | − | 0.812398i | \(-0.301838\pi\) | ||||
0.583103 | + | 0.812398i | \(0.301838\pi\) | |||||||
\(954\) | −17.0153 | − | 25.6574i | −0.550889 | − | 0.830687i | ||||
\(955\) | −65.7615 | −2.12799 | ||||||||
\(956\) | 87.4493i | 2.82831i | ||||||||
\(957\) | 23.9239 | + | 79.3616i | 0.773348 | + | 2.56540i | ||||
\(958\) | − | 89.6505i | − | 2.89648i | ||||||
\(959\) | 7.73358i | 0.249730i | ||||||||
\(960\) | 60.3966 | − | 18.2068i | 1.94929 | − | 0.587621i | ||||
\(961\) | −11.9109 | −0.384224 | ||||||||
\(962\) | −55.7228 | −1.79658 | ||||||||
\(963\) | 1.32129 | − | 0.876244i | 0.0425780 | − | 0.0282366i | ||||
\(964\) | − | 43.6588i | − | 1.40615i | ||||||
\(965\) | −13.1496 | −0.423301 | ||||||||
\(966\) | −19.1594 | − | 10.6862i | −0.616443 | − | 0.343824i | ||||
\(967\) | −49.9446 | −1.60611 | −0.803055 | − | 0.595905i | \(-0.796793\pi\) | ||||
−0.803055 | + | 0.595905i | \(0.796793\pi\) | |||||||
\(968\) | 168.596i | 5.41888i | ||||||||
\(969\) | −0.0870869 | − | 0.288890i | −0.00279764 | − | 0.00928048i | ||||
\(970\) | 22.1192 | 0.710204 | ||||||||
\(971\) | −44.1951 | −1.41829 | −0.709143 | − | 0.705064i | \(-0.750918\pi\) | ||||
−0.709143 | + | 0.705064i | \(0.750918\pi\) | |||||||
\(972\) | 8.27055 | − | 77.1108i | 0.265278 | − | 2.47333i | ||||
\(973\) | − | 2.87063i | − | 0.0920283i | ||||||
\(974\) | 54.3572i | 1.74172i | ||||||||
\(975\) | −19.6344 | + | 5.91885i | −0.628803 | + | 0.189555i | ||||
\(976\) | − | 162.386i | − | 5.19785i | ||||||
\(977\) | −20.8324 | −0.666486 | −0.333243 | − | 0.942841i | \(-0.608143\pi\) | ||||
−0.333243 | + | 0.942841i | \(0.608143\pi\) | |||||||
\(978\) | −29.6238 | − | 98.2699i | −0.947265 | − | 3.14232i | ||||
\(979\) | −12.5213 | −0.400183 | ||||||||
\(980\) | 14.8117 | 0.473144 | ||||||||
\(981\) | −2.61576 | − | 3.94431i | −0.0835147 | − | 0.125932i | ||||
\(982\) | 21.7045 | 0.692618 | ||||||||
\(983\) | 14.7395 | 0.470118 | 0.235059 | − | 0.971981i | \(-0.424472\pi\) | ||||
0.235059 | + | 0.971981i | \(0.424472\pi\) | |||||||
\(984\) | 92.9293 | − | 28.0139i | 2.96248 | − | 0.893049i | ||||
\(985\) | 16.1791i | 0.515510i | ||||||||
\(986\) | 130.338 | 4.15080 | ||||||||
\(987\) | −0.602752 | + | 0.181702i | −0.0191858 | + | 0.00578363i | ||||
\(988\) | 0.452029i | 0.0143810i | ||||||||
\(989\) | 10.8176 | − | 10.4733i | 0.343978 | − | 0.333031i | ||||
\(990\) | −74.2743 | − | 111.998i | −2.36059 | − | 3.55955i | ||||
\(991\) | 58.9995 | 1.87418 | 0.937090 | − | 0.349088i | \(-0.113508\pi\) | ||||
0.937090 | + | 0.349088i | \(0.113508\pi\) | |||||||
\(992\) | − | 55.9733i | − | 1.77716i | ||||||
\(993\) | 16.2543 | − | 4.89992i | 0.515815 | − | 0.155494i | ||||
\(994\) | 17.2183i | 0.546130i | ||||||||
\(995\) | − | 51.0955i | − | 1.61984i | ||||||
\(996\) | −1.73355 | + | 0.522585i | −0.0549296 | + | 0.0165587i | ||||
\(997\) | 52.2984 | 1.65631 | 0.828154 | − | 0.560501i | \(-0.189392\pi\) | ||||
0.828154 | + | 0.560501i | \(0.189392\pi\) | |||||||
\(998\) | − | 69.0263i | − | 2.18499i | ||||||
\(999\) | 27.5381 | + | 22.8407i | 0.871266 | + | 0.722649i |
(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 | 483.2.e.a.344.2 | yes | 48 | |
3.2 | odd | 2 | inner | 483.2.e.a.344.47 | yes | 48 | |
23.22 | odd | 2 | inner | 483.2.e.a.344.1 | ✓ | 48 | |
69.68 | even | 2 | inner | 483.2.e.a.344.48 | yes | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.e.a.344.1 | ✓ | 48 | 23.22 | odd | 2 | inner | |
483.2.e.a.344.2 | yes | 48 | 1.1 | even | 1 | trivial | |
483.2.e.a.344.47 | yes | 48 | 3.2 | odd | 2 | inner | |
483.2.e.a.344.48 | yes | 48 | 69.68 | even | 2 | inner |