Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [966,2,Mod(461,966)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(966, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("966.461");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 966.f (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: | \(7.71354883526\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 461.11 | ||
Character | \(\chi\) | \(=\) | 966.461 |
Dual form | 966.2.f.c.461.25 |
$q$-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 \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(829\) | \(925\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 1.00000i | − | 0.707107i | ||||||
\(3\) | 1.18002 | + | 1.26789i | 0.681287 | + | 0.732016i | ||||
\(4\) | −1.00000 | −0.500000 | ||||||||
\(5\) | −3.87735 | −1.73400 | −0.867002 | − | 0.498305i | \(-0.833956\pi\) | ||||
−0.867002 | + | 0.498305i | \(0.833956\pi\) | |||||||
\(6\) | 1.26789 | − | 1.18002i | 0.517614 | − | 0.481743i | ||||
\(7\) | 0.302862 | + | 2.62836i | 0.114471 | + | 0.993427i | ||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | −0.215085 | + | 2.99228i | −0.0716951 | + | 0.997427i | ||||
\(10\) | 3.87735i | 1.22613i | ||||||||
\(11\) | − | 5.48161i | − | 1.65277i | −0.563106 | − | 0.826384i | \(-0.690394\pi\) | ||
0.563106 | − | 0.826384i | \(-0.309606\pi\) | |||||||
\(12\) | −1.18002 | − | 1.26789i | −0.340644 | − | 0.366008i | ||||
\(13\) | − | 4.05132i | − | 1.12363i | −0.827262 | − | 0.561817i | \(-0.810103\pi\) | ||
0.827262 | − | 0.561817i | \(-0.189897\pi\) | |||||||
\(14\) | 2.62836 | − | 0.302862i | 0.702459 | − | 0.0809432i | ||||
\(15\) | −4.57537 | − | 4.91605i | −1.18135 | − | 1.26932i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | −2.53578 | −0.615017 | −0.307508 | − | 0.951545i | \(-0.599495\pi\) | ||||
−0.307508 | + | 0.951545i | \(0.599495\pi\) | |||||||
\(18\) | 2.99228 | + | 0.215085i | 0.705287 | + | 0.0506961i | ||||
\(19\) | 1.59206i | 0.365243i | 0.983183 | + | 0.182622i | \(0.0584583\pi\) | ||||
−0.983183 | + | 0.182622i | \(0.941542\pi\) | |||||||
\(20\) | 3.87735 | 0.867002 | ||||||||
\(21\) | −2.97508 | + | 3.48552i | −0.649217 | + | 0.760604i | ||||
\(22\) | −5.48161 | −1.16868 | ||||||||
\(23\) | − | 1.00000i | − | 0.208514i | ||||||
\(24\) | −1.26789 | + | 1.18002i | −0.258807 | + | 0.240871i | ||||
\(25\) | 10.0338 | 2.00677 | ||||||||
\(26\) | −4.05132 | −0.794529 | ||||||||
\(27\) | −4.04768 | + | 3.25826i | −0.778977 | + | 0.627052i | ||||
\(28\) | −0.302862 | − | 2.62836i | −0.0572355 | − | 0.496713i | ||||
\(29\) | − | 9.78700i | − | 1.81740i | −0.417450 | − | 0.908700i | \(-0.637076\pi\) | ||
0.417450 | − | 0.908700i | \(-0.362924\pi\) | |||||||
\(30\) | −4.91605 | + | 4.57537i | −0.897544 | + | 0.835344i | ||||
\(31\) | − | 6.36714i | − | 1.14357i | −0.820403 | − | 0.571786i | \(-0.806251\pi\) | ||
0.820403 | − | 0.571786i | \(-0.193749\pi\) | |||||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | 6.95008 | − | 6.46844i | 1.20985 | − | 1.12601i | ||||
\(34\) | 2.53578i | 0.434882i | ||||||||
\(35\) | −1.17430 | − | 10.1911i | −0.198493 | − | 1.72261i | ||||
\(36\) | 0.215085 | − | 2.99228i | 0.0358475 | − | 0.498713i | ||||
\(37\) | 3.09394 | 0.508640 | 0.254320 | − | 0.967120i | \(-0.418148\pi\) | ||||
0.254320 | + | 0.967120i | \(0.418148\pi\) | |||||||
\(38\) | 1.59206 | 0.258266 | ||||||||
\(39\) | 5.13662 | − | 4.78066i | 0.822518 | − | 0.765518i | ||||
\(40\) | − | 3.87735i | − | 0.613063i | ||||||
\(41\) | −2.14736 | −0.335361 | −0.167681 | − | 0.985841i | \(-0.553628\pi\) | ||||
−0.167681 | + | 0.985841i | \(0.553628\pi\) | |||||||
\(42\) | 3.48552 | + | 2.97508i | 0.537828 | + | 0.459065i | ||||
\(43\) | −6.76726 | −1.03200 | −0.515999 | − | 0.856589i | \(-0.672579\pi\) | ||||
−0.515999 | + | 0.856589i | \(0.672579\pi\) | |||||||
\(44\) | 5.48161i | 0.826384i | ||||||||
\(45\) | 0.833961 | − | 11.6021i | 0.124320 | − | 1.72954i | ||||
\(46\) | −1.00000 | −0.147442 | ||||||||
\(47\) | −0.573582 | −0.0836656 | −0.0418328 | − | 0.999125i | \(-0.513320\pi\) | ||||
−0.0418328 | + | 0.999125i | \(0.513320\pi\) | |||||||
\(48\) | 1.18002 | + | 1.26789i | 0.170322 | + | 0.183004i | ||||
\(49\) | −6.81655 | + | 1.59206i | −0.973793 | + | 0.227437i | ||||
\(50\) | − | 10.0338i | − | 1.41900i | ||||||
\(51\) | −2.99228 | − | 3.21509i | −0.419003 | − | 0.450202i | ||||
\(52\) | 4.05132i | 0.561817i | ||||||||
\(53\) | − | 6.95621i | − | 0.955509i | −0.878493 | − | 0.477754i | \(-0.841451\pi\) | ||
0.878493 | − | 0.477754i | \(-0.158549\pi\) | |||||||
\(54\) | 3.25826 | + | 4.04768i | 0.443393 | + | 0.550820i | ||||
\(55\) | 21.2541i | 2.86591i | ||||||||
\(56\) | −2.62836 | + | 0.302862i | −0.351229 | + | 0.0404716i | ||||
\(57\) | −2.01855 | + | 1.87867i | −0.267364 | + | 0.248836i | ||||
\(58\) | −9.78700 | −1.28510 | ||||||||
\(59\) | 4.91543 | 0.639934 | 0.319967 | − | 0.947429i | \(-0.396328\pi\) | ||||
0.319967 | + | 0.947429i | \(0.396328\pi\) | |||||||
\(60\) | 4.57537 | + | 4.91605i | 0.590677 | + | 0.634659i | ||||
\(61\) | − | 12.1027i | − | 1.54959i | −0.632210 | − | 0.774797i | \(-0.717852\pi\) | ||
0.632210 | − | 0.774797i | \(-0.282148\pi\) | |||||||
\(62\) | −6.36714 | −0.808627 | ||||||||
\(63\) | −7.92993 | + | 0.340925i | −0.999077 | + | 0.0429526i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 15.7084i | 1.94839i | ||||||||
\(66\) | −6.46844 | − | 6.95008i | −0.796210 | − | 0.855496i | ||||
\(67\) | −12.4303 | −1.51860 | −0.759300 | − | 0.650740i | \(-0.774459\pi\) | ||||
−0.759300 | + | 0.650740i | \(0.774459\pi\) | |||||||
\(68\) | 2.53578 | 0.307508 | ||||||||
\(69\) | 1.26789 | − | 1.18002i | 0.152636 | − | 0.142058i | ||||
\(70\) | −10.1911 | + | 1.17430i | −1.21807 | + | 0.140356i | ||||
\(71\) | 8.75597i | 1.03914i | 0.854427 | + | 0.519571i | \(0.173908\pi\) | ||||
−0.854427 | + | 0.519571i | \(0.826092\pi\) | |||||||
\(72\) | −2.99228 | − | 0.215085i | −0.352644 | − | 0.0253480i | ||||
\(73\) | − | 0.527845i | − | 0.0617796i | −0.999523 | − | 0.0308898i | \(-0.990166\pi\) | ||
0.999523 | − | 0.0308898i | \(-0.00983409\pi\) | |||||||
\(74\) | − | 3.09394i | − | 0.359663i | ||||||
\(75\) | 11.8402 | + | 12.7218i | 1.36719 | + | 1.46899i | ||||
\(76\) | − | 1.59206i | − | 0.182622i | ||||||
\(77\) | 14.4077 | − | 1.66017i | 1.64190 | − | 0.189194i | ||||
\(78\) | −4.78066 | − | 5.13662i | −0.541303 | − | 0.581608i | ||||
\(79\) | −1.78905 | −0.201283 | −0.100642 | − | 0.994923i | \(-0.532090\pi\) | ||||
−0.100642 | + | 0.994923i | \(0.532090\pi\) | |||||||
\(80\) | −3.87735 | −0.433501 | ||||||||
\(81\) | −8.90748 | − | 1.28719i | −0.989720 | − | 0.143021i | ||||
\(82\) | 2.14736i | 0.237136i | ||||||||
\(83\) | −0.461416 | −0.0506470 | −0.0253235 | − | 0.999679i | \(-0.508062\pi\) | ||||
−0.0253235 | + | 0.999679i | \(0.508062\pi\) | |||||||
\(84\) | 2.97508 | − | 3.48552i | 0.324608 | − | 0.380302i | ||||
\(85\) | 9.83210 | 1.06644 | ||||||||
\(86\) | 6.76726i | 0.729733i | ||||||||
\(87\) | 12.4088 | − | 11.5489i | 1.33037 | − | 1.23817i | ||||
\(88\) | 5.48161 | 0.584342 | ||||||||
\(89\) | −12.2137 | −1.29465 | −0.647325 | − | 0.762214i | \(-0.724112\pi\) | ||||
−0.647325 | + | 0.762214i | \(0.724112\pi\) | |||||||
\(90\) | −11.6021 | − | 0.833961i | −1.22297 | − | 0.0879072i | ||||
\(91\) | 10.6483 | − | 1.22699i | 1.11625 | − | 0.128623i | ||||
\(92\) | 1.00000i | 0.104257i | ||||||||
\(93\) | 8.07282 | − | 7.51338i | 0.837113 | − | 0.779101i | ||||
\(94\) | 0.573582i | 0.0591605i | ||||||||
\(95\) | − | 6.17297i | − | 0.633333i | ||||||
\(96\) | 1.26789 | − | 1.18002i | 0.129403 | − | 0.120436i | ||||
\(97\) | 8.09621i | 0.822045i | 0.911625 | + | 0.411023i | \(0.134828\pi\) | ||||
−0.911625 | + | 0.411023i | \(0.865172\pi\) | |||||||
\(98\) | 1.59206 | + | 6.81655i | 0.160822 | + | 0.688575i | ||||
\(99\) | 16.4025 | + | 1.17901i | 1.64852 | + | 0.118495i | ||||
\(100\) | −10.0338 | −1.00338 | ||||||||
\(101\) | 17.3577 | 1.72715 | 0.863576 | − | 0.504218i | \(-0.168219\pi\) | ||||
0.863576 | + | 0.504218i | \(0.168219\pi\) | |||||||
\(102\) | −3.21509 | + | 2.99228i | −0.318341 | + | 0.296280i | ||||
\(103\) | 5.76721i | 0.568260i | 0.958786 | + | 0.284130i | \(0.0917047\pi\) | ||||
−0.958786 | + | 0.284130i | \(0.908295\pi\) | |||||||
\(104\) | 4.05132 | 0.397265 | ||||||||
\(105\) | 11.5354 | − | 13.5146i | 1.12574 | − | 1.31889i | ||||
\(106\) | −6.95621 | −0.675647 | ||||||||
\(107\) | 17.5647i | 1.69805i | 0.528354 | + | 0.849024i | \(0.322809\pi\) | ||||
−0.528354 | + | 0.849024i | \(0.677191\pi\) | |||||||
\(108\) | 4.04768 | − | 3.25826i | 0.389489 | − | 0.313526i | ||||
\(109\) | 0.554958 | 0.0531553 | 0.0265776 | − | 0.999647i | \(-0.491539\pi\) | ||||
0.0265776 | + | 0.999647i | \(0.491539\pi\) | |||||||
\(110\) | 21.2541 | 2.02650 | ||||||||
\(111\) | 3.65092 | + | 3.92277i | 0.346530 | + | 0.372333i | ||||
\(112\) | 0.302862 | + | 2.62836i | 0.0286177 | + | 0.248357i | ||||
\(113\) | − | 7.29007i | − | 0.685792i | −0.939373 | − | 0.342896i | \(-0.888592\pi\) | ||
0.939373 | − | 0.342896i | \(-0.111408\pi\) | |||||||
\(114\) | 1.87867 | + | 2.01855i | 0.175953 | + | 0.189055i | ||||
\(115\) | 3.87735i | 0.361565i | ||||||||
\(116\) | 9.78700i | 0.908700i | ||||||||
\(117\) | 12.1227 | + | 0.871379i | 1.12074 | + | 0.0805590i | ||||
\(118\) | − | 4.91543i | − | 0.452502i | ||||||
\(119\) | −0.767990 | − | 6.66494i | −0.0704015 | − | 0.610974i | ||||
\(120\) | 4.91605 | − | 4.57537i | 0.448772 | − | 0.417672i | ||||
\(121\) | −19.0481 | −1.73165 | ||||||||
\(122\) | −12.1027 | −1.09573 | ||||||||
\(123\) | −2.53394 | − | 2.72261i | −0.228477 | − | 0.245490i | ||||
\(124\) | 6.36714i | 0.571786i | ||||||||
\(125\) | −19.5180 | −1.74574 | ||||||||
\(126\) | 0.340925 | + | 7.92993i | 0.0303721 | + | 0.706454i | ||||
\(127\) | 10.0647 | 0.893098 | 0.446549 | − | 0.894759i | \(-0.352653\pi\) | ||||
0.446549 | + | 0.894759i | \(0.352653\pi\) | |||||||
\(128\) | 1.00000i | 0.0883883i | ||||||||
\(129\) | −7.98554 | − | 8.58014i | −0.703087 | − | 0.755439i | ||||
\(130\) | 15.7084 | 1.37772 | ||||||||
\(131\) | −14.5965 | −1.27530 | −0.637649 | − | 0.770327i | \(-0.720093\pi\) | ||||
−0.637649 | + | 0.770327i | \(0.720093\pi\) | |||||||
\(132\) | −6.95008 | + | 6.46844i | −0.604927 | + | 0.563005i | ||||
\(133\) | −4.18450 | + | 0.482174i | −0.362842 | + | 0.0418097i | ||||
\(134\) | 12.4303i | 1.07381i | ||||||||
\(135\) | 15.6943 | − | 12.6334i | 1.35075 | − | 1.08731i | ||||
\(136\) | − | 2.53578i | − | 0.217441i | ||||||
\(137\) | − | 1.09814i | − | 0.0938206i | −0.998899 | − | 0.0469103i | \(-0.985062\pi\) | ||
0.998899 | − | 0.0469103i | \(-0.0149375\pi\) | |||||||
\(138\) | −1.18002 | − | 1.26789i | −0.100450 | − | 0.107930i | ||||
\(139\) | − | 3.04117i | − | 0.257949i | −0.991648 | − | 0.128974i | \(-0.958831\pi\) | ||
0.991648 | − | 0.128974i | \(-0.0411685\pi\) | |||||||
\(140\) | 1.17430 | + | 10.1911i | 0.0992465 | + | 0.861303i | ||||
\(141\) | −0.676841 | − | 0.727239i | −0.0570003 | − | 0.0612446i | ||||
\(142\) | 8.75597 | 0.734784 | ||||||||
\(143\) | −22.2078 | −1.85711 | ||||||||
\(144\) | −0.215085 | + | 2.99228i | −0.0179238 | + | 0.249357i | ||||
\(145\) | 37.9476i | 3.15138i | ||||||||
\(146\) | −0.527845 | −0.0436848 | ||||||||
\(147\) | −10.0622 | − | 6.76396i | −0.829920 | − | 0.557882i | ||||
\(148\) | −3.09394 | −0.254320 | ||||||||
\(149\) | − | 1.07201i | − | 0.0878228i | −0.999035 | − | 0.0439114i | \(-0.986018\pi\) | ||
0.999035 | − | 0.0439114i | \(-0.0139819\pi\) | |||||||
\(150\) | 12.7218 | − | 11.8402i | 1.03873 | − | 0.966747i | ||||
\(151\) | 7.03831 | 0.572769 | 0.286385 | − | 0.958115i | \(-0.407546\pi\) | ||||
0.286385 | + | 0.958115i | \(0.407546\pi\) | |||||||
\(152\) | −1.59206 | −0.129133 | ||||||||
\(153\) | 0.545408 | − | 7.58776i | 0.0440937 | − | 0.613434i | ||||
\(154\) | −1.66017 | − | 14.4077i | −0.133780 | − | 1.16100i | ||||
\(155\) | 24.6876i | 1.98296i | ||||||||
\(156\) | −5.13662 | + | 4.78066i | −0.411259 | + | 0.382759i | ||||
\(157\) | 0.588084i | 0.0469342i | 0.999725 | + | 0.0234671i | \(0.00747050\pi\) | ||||
−0.999725 | + | 0.0234671i | \(0.992530\pi\) | |||||||
\(158\) | 1.78905i | 0.142329i | ||||||||
\(159\) | 8.81970 | − | 8.20850i | 0.699448 | − | 0.650976i | ||||
\(160\) | 3.87735i | 0.306531i | ||||||||
\(161\) | 2.62836 | − | 0.302862i | 0.207144 | − | 0.0238688i | ||||
\(162\) | −1.28719 | + | 8.90748i | −0.101131 | + | 0.699837i | ||||
\(163\) | 5.47111 | 0.428530 | 0.214265 | − | 0.976776i | \(-0.431264\pi\) | ||||
0.214265 | + | 0.976776i | \(0.431264\pi\) | |||||||
\(164\) | 2.14736 | 0.167681 | ||||||||
\(165\) | −26.9479 | + | 25.0804i | −2.09789 | + | 1.95251i | ||||
\(166\) | 0.461416i | 0.0358128i | ||||||||
\(167\) | −15.1296 | −1.17076 | −0.585380 | − | 0.810759i | \(-0.699055\pi\) | ||||
−0.585380 | + | 0.810759i | \(0.699055\pi\) | |||||||
\(168\) | −3.48552 | − | 2.97508i | −0.268914 | − | 0.229533i | ||||
\(169\) | −3.41319 | −0.262553 | ||||||||
\(170\) | − | 9.83210i | − | 0.754088i | ||||||
\(171\) | −4.76389 | − | 0.342428i | −0.364303 | − | 0.0261861i | ||||
\(172\) | 6.76726 | 0.515999 | ||||||||
\(173\) | −21.3342 | −1.62201 | −0.811006 | − | 0.585038i | \(-0.801080\pi\) | ||||
−0.811006 | + | 0.585038i | \(0.801080\pi\) | |||||||
\(174\) | −11.5489 | − | 12.4088i | −0.875520 | − | 0.940711i | ||||
\(175\) | 3.03887 | + | 26.3726i | 0.229717 | + | 1.99358i | ||||
\(176\) | − | 5.48161i | − | 0.413192i | ||||||
\(177\) | 5.80032 | + | 6.23222i | 0.435979 | + | 0.468442i | ||||
\(178\) | 12.2137i | 0.915456i | ||||||||
\(179\) | − | 15.0706i | − | 1.12643i | −0.826311 | − | 0.563215i | \(-0.809564\pi\) | ||
0.826311 | − | 0.563215i | \(-0.190436\pi\) | |||||||
\(180\) | −0.833961 | + | 11.6021i | −0.0621598 | + | 0.864771i | ||||
\(181\) | − | 6.92160i | − | 0.514479i | −0.966348 | − | 0.257239i | \(-0.917187\pi\) | ||
0.966348 | − | 0.257239i | \(-0.0828129\pi\) | |||||||
\(182\) | −1.22699 | − | 10.6483i | −0.0909505 | − | 0.789306i | ||||
\(183\) | 15.3449 | − | 14.2815i | 1.13433 | − | 1.05572i | ||||
\(184\) | 1.00000 | 0.0737210 | ||||||||
\(185\) | −11.9963 | −0.881984 | ||||||||
\(186\) | −7.51338 | − | 8.07282i | −0.550908 | − | 0.591928i | ||||
\(187\) | 13.9002i | 1.01648i | ||||||||
\(188\) | 0.573582 | 0.0418328 | ||||||||
\(189\) | −9.78976 | − | 9.65197i | −0.712101 | − | 0.702077i | ||||
\(190\) | −6.17297 | −0.447834 | ||||||||
\(191\) | 27.5414i | 1.99283i | 0.0846212 | + | 0.996413i | \(0.473032\pi\) | ||||
−0.0846212 | + | 0.996413i | \(0.526968\pi\) | |||||||
\(192\) | −1.18002 | − | 1.26789i | −0.0851609 | − | 0.0915020i | ||||
\(193\) | 9.28333 | 0.668229 | 0.334114 | − | 0.942532i | \(-0.391563\pi\) | ||||
0.334114 | + | 0.942532i | \(0.391563\pi\) | |||||||
\(194\) | 8.09621 | 0.581274 | ||||||||
\(195\) | −19.9165 | + | 18.5363i | −1.42625 | + | 1.32741i | ||||
\(196\) | 6.81655 | − | 1.59206i | 0.486896 | − | 0.113718i | ||||
\(197\) | 0.671664i | 0.0478541i | 0.999714 | + | 0.0239270i | \(0.00761694\pi\) | ||||
−0.999714 | + | 0.0239270i | \(0.992383\pi\) | |||||||
\(198\) | 1.17901 | − | 16.4025i | 0.0837889 | − | 1.16568i | ||||
\(199\) | − | 23.6028i | − | 1.67316i | −0.547845 | − | 0.836580i | \(-0.684552\pi\) | ||
0.547845 | − | 0.836580i | \(-0.315448\pi\) | |||||||
\(200\) | 10.0338i | 0.709500i | ||||||||
\(201\) | −14.6680 | − | 15.7602i | −1.03460 | − | 1.11164i | ||||
\(202\) | − | 17.3577i | − | 1.22128i | ||||||
\(203\) | 25.7238 | − | 2.96411i | 1.80545 | − | 0.208039i | ||||
\(204\) | 2.99228 | + | 3.21509i | 0.209501 | + | 0.225101i | ||||
\(205\) | 8.32606 | 0.581517 | ||||||||
\(206\) | 5.76721 | 0.401820 | ||||||||
\(207\) | 2.99228 | + | 0.215085i | 0.207978 | + | 0.0149495i | ||||
\(208\) | − | 4.05132i | − | 0.280908i | ||||||
\(209\) | 8.72705 | 0.603663 | ||||||||
\(210\) | −13.5146 | − | 11.5354i | −0.932596 | − | 0.796021i | ||||
\(211\) | 12.6220 | 0.868934 | 0.434467 | − | 0.900688i | \(-0.356937\pi\) | ||||
0.434467 | + | 0.900688i | \(0.356937\pi\) | |||||||
\(212\) | 6.95621i | 0.477754i | ||||||||
\(213\) | −11.1016 | + | 10.3323i | −0.760669 | + | 0.707954i | ||||
\(214\) | 17.5647 | 1.20070 | ||||||||
\(215\) | 26.2391 | 1.78949 | ||||||||
\(216\) | −3.25826 | − | 4.04768i | −0.221696 | − | 0.275410i | ||||
\(217\) | 16.7351 | − | 1.92836i | 1.13605 | − | 0.130906i | ||||
\(218\) | − | 0.554958i | − | 0.0375865i | ||||||
\(219\) | 0.669249 | − | 0.622870i | 0.0452236 | − | 0.0420896i | ||||
\(220\) | − | 21.2541i | − | 1.43295i | ||||||
\(221\) | 10.2732i | 0.691053i | ||||||||
\(222\) | 3.92277 | − | 3.65092i | 0.263279 | − | 0.245034i | ||||
\(223\) | 0.0999946i | 0.00669613i | 0.999994 | + | 0.00334807i | \(0.00106572\pi\) | ||||
−0.999994 | + | 0.00334807i | \(0.998934\pi\) | |||||||
\(224\) | 2.62836 | − | 0.302862i | 0.175615 | − | 0.0202358i | ||||
\(225\) | −2.15813 | + | 30.0241i | −0.143875 | + | 2.00160i | ||||
\(226\) | −7.29007 | −0.484928 | ||||||||
\(227\) | −26.4176 | −1.75340 | −0.876700 | − | 0.481037i | \(-0.840260\pi\) | ||||
−0.876700 | + | 0.481037i | \(0.840260\pi\) | |||||||
\(228\) | 2.01855 | − | 1.87867i | 0.133682 | − | 0.124418i | ||||
\(229\) | − | 10.5636i | − | 0.698064i | −0.937111 | − | 0.349032i | \(-0.886510\pi\) | ||
0.937111 | − | 0.349032i | \(-0.113490\pi\) | |||||||
\(230\) | 3.87735 | 0.255665 | ||||||||
\(231\) | 19.1063 | + | 16.3083i | 1.25710 | + | 1.07301i | ||||
\(232\) | 9.78700 | 0.642548 | ||||||||
\(233\) | − | 18.6512i | − | 1.22188i | −0.791676 | − | 0.610942i | \(-0.790791\pi\) | ||
0.791676 | − | 0.610942i | \(-0.209209\pi\) | |||||||
\(234\) | 0.871379 | − | 12.1227i | 0.0569638 | − | 0.792485i | ||||
\(235\) | 2.22398 | 0.145076 | ||||||||
\(236\) | −4.91543 | −0.319967 | ||||||||
\(237\) | −2.11112 | − | 2.26831i | −0.137132 | − | 0.147343i | ||||
\(238\) | −6.66494 | + | 0.767990i | −0.432024 | + | 0.0497814i | ||||
\(239\) | − | 29.1333i | − | 1.88448i | −0.334940 | − | 0.942239i | \(-0.608716\pi\) | ||
0.334940 | − | 0.942239i | \(-0.391284\pi\) | |||||||
\(240\) | −4.57537 | − | 4.91605i | −0.295339 | − | 0.317330i | ||||
\(241\) | 5.46589i | 0.352089i | 0.984382 | + | 0.176044i | \(0.0563302\pi\) | ||||
−0.984382 | + | 0.176044i | \(0.943670\pi\) | |||||||
\(242\) | 19.0481i | 1.22446i | ||||||||
\(243\) | −8.87902 | − | 12.8126i | −0.569590 | − | 0.821929i | ||||
\(244\) | 12.1027i | 0.774797i | ||||||||
\(245\) | 26.4302 | − | 6.17297i | 1.68856 | − | 0.394377i | ||||
\(246\) | −2.72261 | + | 2.53394i | −0.173587 | + | 0.161558i | ||||
\(247\) | 6.44994 | 0.410400 | ||||||||
\(248\) | 6.36714 | 0.404314 | ||||||||
\(249\) | −0.544482 | − | 0.585024i | −0.0345052 | − | 0.0370744i | ||||
\(250\) | 19.5180i | 1.23443i | ||||||||
\(251\) | 10.3699 | 0.654543 | 0.327271 | − | 0.944930i | \(-0.393871\pi\) | ||||
0.327271 | + | 0.944930i | \(0.393871\pi\) | |||||||
\(252\) | 7.92993 | − | 0.340925i | 0.499539 | − | 0.0214763i | ||||
\(253\) | −5.48161 | −0.344626 | ||||||||
\(254\) | − | 10.0647i | − | 0.631516i | ||||||
\(255\) | 11.6021 | + | 12.4660i | 0.726553 | + | 0.780652i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 1.79485 | 0.111960 | 0.0559798 | − | 0.998432i | \(-0.482172\pi\) | ||||
0.0559798 | + | 0.998432i | \(0.482172\pi\) | |||||||
\(258\) | −8.58014 | + | 7.98554i | −0.534176 | + | 0.497158i | ||||
\(259\) | 0.937035 | + | 8.13198i | 0.0582245 | + | 0.505297i | ||||
\(260\) | − | 15.7084i | − | 0.974193i | ||||||
\(261\) | 29.2854 | + | 2.10504i | 1.81272 | + | 0.130299i | ||||
\(262\) | 14.5965i | 0.901772i | ||||||||
\(263\) | 12.9422i | 0.798050i | 0.916940 | + | 0.399025i | \(0.130651\pi\) | ||||
−0.916940 | + | 0.399025i | \(0.869349\pi\) | |||||||
\(264\) | 6.46844 | + | 6.95008i | 0.398105 | + | 0.427748i | ||||
\(265\) | 26.9717i | 1.65686i | ||||||||
\(266\) | 0.482174 | + | 4.18450i | 0.0295640 | + | 0.256568i | ||||
\(267\) | −14.4125 | − | 15.4856i | −0.882028 | − | 0.947704i | ||||
\(268\) | 12.4303 | 0.759300 | ||||||||
\(269\) | 14.8549 | 0.905719 | 0.452859 | − | 0.891582i | \(-0.350404\pi\) | ||||
0.452859 | + | 0.891582i | \(0.350404\pi\) | |||||||
\(270\) | −12.6334 | − | 15.6943i | −0.768845 | − | 0.955124i | ||||
\(271\) | − | 19.5724i | − | 1.18894i | −0.804119 | − | 0.594469i | \(-0.797362\pi\) | ||
0.804119 | − | 0.594469i | \(-0.202638\pi\) | |||||||
\(272\) | −2.53578 | −0.153754 | ||||||||
\(273\) | 14.1210 | + | 12.0530i | 0.854640 | + | 0.729482i | ||||
\(274\) | −1.09814 | −0.0663412 | ||||||||
\(275\) | − | 55.0017i | − | 3.31673i | ||||||
\(276\) | −1.26789 | + | 1.18002i | −0.0763180 | + | 0.0710291i | ||||
\(277\) | −9.80788 | −0.589298 | −0.294649 | − | 0.955605i | \(-0.595203\pi\) | ||||
−0.294649 | + | 0.955605i | \(0.595203\pi\) | |||||||
\(278\) | −3.04117 | −0.182397 | ||||||||
\(279\) | 19.0523 | + | 1.36948i | 1.14063 | + | 0.0819885i | ||||
\(280\) | 10.1911 | − | 1.17430i | 0.609033 | − | 0.0701779i | ||||
\(281\) | 8.17582i | 0.487729i | 0.969809 | + | 0.243864i | \(0.0784151\pi\) | ||||
−0.969809 | + | 0.243864i | \(0.921585\pi\) | |||||||
\(282\) | −0.727239 | + | 0.676841i | −0.0433064 | + | 0.0403053i | ||||
\(283\) | − | 6.82716i | − | 0.405833i | −0.979196 | − | 0.202916i | \(-0.934958\pi\) | ||
0.979196 | − | 0.202916i | \(-0.0650420\pi\) | |||||||
\(284\) | − | 8.75597i | − | 0.519571i | ||||||
\(285\) | 7.82664 | − | 7.28425i | 0.463610 | − | 0.431482i | ||||
\(286\) | 22.2078i | 1.31317i | ||||||||
\(287\) | −0.650353 | − | 5.64403i | −0.0383891 | − | 0.333157i | ||||
\(288\) | 2.99228 | + | 0.215085i | 0.176322 | + | 0.0126740i | ||||
\(289\) | −10.5698 | −0.621755 | ||||||||
\(290\) | 37.9476 | 2.22836 | ||||||||
\(291\) | −10.2651 | + | 9.55372i | −0.601750 | + | 0.560049i | ||||
\(292\) | 0.527845i | 0.0308898i | ||||||||
\(293\) | −4.03638 | −0.235808 | −0.117904 | − | 0.993025i | \(-0.537617\pi\) | ||||
−0.117904 | + | 0.993025i | \(0.537617\pi\) | |||||||
\(294\) | −6.76396 | + | 10.0622i | −0.394482 | + | 0.586842i | ||||
\(295\) | −19.0588 | −1.10965 | ||||||||
\(296\) | 3.09394i | 0.179831i | ||||||||
\(297\) | 17.8605 | + | 22.1878i | 1.03637 | + | 1.28747i | ||||
\(298\) | −1.07201 | −0.0621001 | ||||||||
\(299\) | −4.05132 | −0.234294 | ||||||||
\(300\) | −11.8402 | − | 12.7218i | −0.683593 | − | 0.734494i | ||||
\(301\) | −2.04954 | − | 17.7868i | −0.118134 | − | 1.02521i | ||||
\(302\) | − | 7.03831i | − | 0.405009i | ||||||
\(303\) | 20.4825 | + | 22.0076i | 1.17669 | + | 1.26430i | ||||
\(304\) | 1.59206i | 0.0913108i | ||||||||
\(305\) | 46.9265i | 2.68700i | ||||||||
\(306\) | −7.58776 | − | 0.545408i | −0.433763 | − | 0.0311789i | ||||
\(307\) | 11.8749i | 0.677734i | 0.940834 | + | 0.338867i | \(0.110044\pi\) | ||||
−0.940834 | + | 0.338867i | \(0.889956\pi\) | |||||||
\(308\) | −14.4077 | + | 1.66017i | −0.820952 | + | 0.0945970i | ||||
\(309\) | −7.31218 | + | 6.80544i | −0.415975 | + | 0.387148i | ||||
\(310\) | 24.6876 | 1.40216 | ||||||||
\(311\) | 21.9913 | 1.24701 | 0.623507 | − | 0.781818i | \(-0.285707\pi\) | ||||
0.623507 | + | 0.781818i | \(0.285707\pi\) | |||||||
\(312\) | 4.78066 | + | 5.13662i | 0.270651 | + | 0.290804i | ||||
\(313\) | 6.93834i | 0.392178i | 0.980586 | + | 0.196089i | \(0.0628242\pi\) | ||||
−0.980586 | + | 0.196089i | \(0.937176\pi\) | |||||||
\(314\) | 0.588084 | 0.0331875 | ||||||||
\(315\) | 30.7471 | − | 1.32189i | 1.73240 | − | 0.0744799i | ||||
\(316\) | 1.78905 | 0.100642 | ||||||||
\(317\) | 24.9558i | 1.40166i | 0.713330 | + | 0.700828i | \(0.247186\pi\) | ||||
−0.713330 | + | 0.700828i | \(0.752814\pi\) | |||||||
\(318\) | −8.20850 | − | 8.81970i | −0.460310 | − | 0.494584i | ||||
\(319\) | −53.6485 | −3.00374 | ||||||||
\(320\) | 3.87735 | 0.216750 | ||||||||
\(321\) | −22.2701 | + | 20.7268i | −1.24300 | + | 1.15686i | ||||
\(322\) | −0.302862 | − | 2.62836i | −0.0168778 | − | 0.146473i | ||||
\(323\) | − | 4.03711i | − | 0.224631i | ||||||
\(324\) | 8.90748 | + | 1.28719i | 0.494860 | + | 0.0715106i | ||||
\(325\) | − | 40.6503i | − | 2.25487i | ||||||
\(326\) | − | 5.47111i | − | 0.303017i | ||||||
\(327\) | 0.654863 | + | 0.703625i | 0.0362140 | + | 0.0389105i | ||||
\(328\) | − | 2.14736i | − | 0.118568i | ||||||
\(329\) | −0.173716 | − | 1.50758i | −0.00957728 | − | 0.0831156i | ||||
\(330\) | 25.0804 | + | 26.9479i | 1.38063 | + | 1.48343i | ||||
\(331\) | 6.74735 | 0.370868 | 0.185434 | − | 0.982657i | \(-0.440631\pi\) | ||||
0.185434 | + | 0.982657i | \(0.440631\pi\) | |||||||
\(332\) | 0.461416 | 0.0253235 | ||||||||
\(333\) | −0.665460 | + | 9.25792i | −0.0364670 | + | 0.507331i | ||||
\(334\) | 15.1296i | 0.827853i | ||||||||
\(335\) | 48.1966 | 2.63326 | ||||||||
\(336\) | −2.97508 | + | 3.48552i | −0.162304 | + | 0.190151i | ||||
\(337\) | 16.5741 | 0.902849 | 0.451425 | − | 0.892309i | \(-0.350916\pi\) | ||||
0.451425 | + | 0.892309i | \(0.350916\pi\) | |||||||
\(338\) | 3.41319i | 0.185653i | ||||||||
\(339\) | 9.24300 | − | 8.60246i | 0.502011 | − | 0.467222i | ||||
\(340\) | −9.83210 | −0.533220 | ||||||||
\(341\) | −34.9022 | −1.89006 | ||||||||
\(342\) | −0.342428 | + | 4.76389i | −0.0185164 | + | 0.257601i | ||||
\(343\) | −6.24897 | − | 17.4342i | −0.337413 | − | 0.941357i | ||||
\(344\) | − | 6.76726i | − | 0.364866i | ||||||
\(345\) | −4.91605 | + | 4.57537i | −0.264671 | + | 0.246330i | ||||
\(346\) | 21.3342i | 1.14694i | ||||||||
\(347\) | − | 17.3061i | − | 0.929039i | −0.885563 | − | 0.464519i | \(-0.846227\pi\) | ||
0.885563 | − | 0.464519i | \(-0.153773\pi\) | |||||||
\(348\) | −12.4088 | + | 11.5489i | −0.665183 | + | 0.619086i | ||||
\(349\) | 13.0219i | 0.697047i | 0.937300 | + | 0.348523i | \(0.113317\pi\) | ||||
−0.937300 | + | 0.348523i | \(0.886683\pi\) | |||||||
\(350\) | 26.3726 | − | 3.03887i | 1.40967 | − | 0.162434i | ||||
\(351\) | 13.2002 | + | 16.3985i | 0.704577 | + | 0.875285i | ||||
\(352\) | −5.48161 | −0.292171 | ||||||||
\(353\) | −20.9771 | −1.11650 | −0.558249 | − | 0.829674i | \(-0.688526\pi\) | ||||
−0.558249 | + | 0.829674i | \(0.688526\pi\) | |||||||
\(354\) | 6.23222 | − | 5.80032i | 0.331239 | − | 0.308284i | ||||
\(355\) | − | 33.9499i | − | 1.80188i | ||||||
\(356\) | 12.2137 | 0.647325 | ||||||||
\(357\) | 7.54415 | − | 8.83851i | 0.399279 | − | 0.467784i | ||||
\(358\) | −15.0706 | −0.796506 | ||||||||
\(359\) | 23.6584i | 1.24864i | 0.781167 | + | 0.624322i | \(0.214625\pi\) | ||||
−0.781167 | + | 0.624322i | \(0.785375\pi\) | |||||||
\(360\) | 11.6021 | + | 0.833961i | 0.611485 | + | 0.0439536i | ||||
\(361\) | 16.4653 | 0.866597 | ||||||||
\(362\) | −6.92160 | −0.363791 | ||||||||
\(363\) | −22.4772 | − | 24.1509i | −1.17975 | − | 1.26759i | ||||
\(364\) | −10.6483 | + | 1.22699i | −0.558124 | + | 0.0643117i | ||||
\(365\) | 2.04664i | 0.107126i | ||||||||
\(366\) | −14.2815 | − | 15.3449i | −0.746506 | − | 0.802091i | ||||
\(367\) | − | 32.0746i | − | 1.67428i | −0.546987 | − | 0.837141i | \(-0.684225\pi\) | ||
0.546987 | − | 0.837141i | \(-0.315775\pi\) | |||||||
\(368\) | − | 1.00000i | − | 0.0521286i | ||||||
\(369\) | 0.461865 | − | 6.42550i | 0.0240437 | − | 0.334498i | ||||
\(370\) | 11.9963i | 0.623657i | ||||||||
\(371\) | 18.2834 | − | 2.10677i | 0.949228 | − | 0.109378i | ||||
\(372\) | −8.07282 | + | 7.51338i | −0.418556 | + | 0.389550i | ||||
\(373\) | −19.3797 | −1.00344 | −0.501722 | − | 0.865029i | \(-0.667300\pi\) | ||||
−0.501722 | + | 0.865029i | \(0.667300\pi\) | |||||||
\(374\) | 13.9002 | 0.718760 | ||||||||
\(375\) | −23.0317 | − | 24.7466i | −1.18935 | − | 1.27791i | ||||
\(376\) | − | 0.573582i | − | 0.0295803i | ||||||
\(377\) | −39.6503 | −2.04209 | ||||||||
\(378\) | −9.65197 | + | 9.78976i | −0.496444 | + | 0.503531i | ||||
\(379\) | 25.0421 | 1.28632 | 0.643162 | − | 0.765730i | \(-0.277622\pi\) | ||||
0.643162 | + | 0.765730i | \(0.277622\pi\) | |||||||
\(380\) | 6.17297i | 0.316667i | ||||||||
\(381\) | 11.8766 | + | 12.7609i | 0.608457 | + | 0.653762i | ||||
\(382\) | 27.5414 | 1.40914 | ||||||||
\(383\) | −28.4246 | −1.45243 | −0.726216 | − | 0.687467i | \(-0.758723\pi\) | ||||
−0.726216 | + | 0.687467i | \(0.758723\pi\) | |||||||
\(384\) | −1.26789 | + | 1.18002i | −0.0647017 | + | 0.0602179i | ||||
\(385\) | −55.8635 | + | 6.43706i | −2.84707 | + | 0.328063i | ||||
\(386\) | − | 9.28333i | − | 0.472509i | ||||||
\(387\) | 1.45554 | − | 20.2495i | 0.0739892 | − | 1.02934i | ||||
\(388\) | − | 8.09621i | − | 0.411023i | ||||||
\(389\) | 19.7035i | 0.999009i | 0.866311 | + | 0.499505i | \(0.166485\pi\) | ||||
−0.866311 | + | 0.499505i | \(0.833515\pi\) | |||||||
\(390\) | 18.5363 | + | 19.9165i | 0.938621 | + | 1.00851i | ||||
\(391\) | 2.53578i | 0.128240i | ||||||||
\(392\) | −1.59206 | − | 6.81655i | −0.0804111 | − | 0.344288i | ||||
\(393\) | −17.2242 | − | 18.5067i | −0.868845 | − | 0.933539i | ||||
\(394\) | 0.671664 | 0.0338379 | ||||||||
\(395\) | 6.93676 | 0.349026 | ||||||||
\(396\) | −16.4025 | − | 1.17901i | −0.824258 | − | 0.0592477i | ||||
\(397\) | 24.3072i | 1.21995i | 0.792422 | + | 0.609973i | \(0.208820\pi\) | ||||
−0.792422 | + | 0.609973i | \(0.791180\pi\) | |||||||
\(398\) | −23.6028 | −1.18310 | ||||||||
\(399\) | −5.54916 | − | 4.73651i | −0.277805 | − | 0.237122i | ||||
\(400\) | 10.0338 | 0.501692 | ||||||||
\(401\) | − | 14.9262i | − | 0.745377i | −0.927957 | − | 0.372688i | \(-0.878436\pi\) | ||
0.927957 | − | 0.372688i | \(-0.121564\pi\) | |||||||
\(402\) | −15.7602 | + | 14.6680i | −0.786048 | + | 0.731575i | ||||
\(403\) | −25.7953 | −1.28496 | ||||||||
\(404\) | −17.3577 | −0.863576 | ||||||||
\(405\) | 34.5374 | + | 4.99089i | 1.71618 | + | 0.247999i | ||||
\(406\) | −2.96411 | − | 25.7238i | −0.147106 | − | 1.27665i | ||||
\(407\) | − | 16.9598i | − | 0.840665i | ||||||
\(408\) | 3.21509 | − | 2.99228i | 0.159170 | − | 0.148140i | ||||
\(409\) | − | 20.2559i | − | 1.00159i | −0.865566 | − | 0.500795i | \(-0.833041\pi\) | ||
0.865566 | − | 0.500795i | \(-0.166959\pi\) | |||||||
\(410\) | − | 8.32606i | − | 0.411195i | ||||||
\(411\) | 1.39232 | − | 1.29583i | 0.0686782 | − | 0.0639188i | ||||
\(412\) | − | 5.76721i | − | 0.284130i | ||||||
\(413\) | 1.48869 | + | 12.9195i | 0.0732539 | + | 0.635728i | ||||
\(414\) | 0.215085 | − | 2.99228i | 0.0105709 | − | 0.147063i | ||||
\(415\) | 1.78907 | 0.0878221 | ||||||||
\(416\) | −4.05132 | −0.198632 | ||||||||
\(417\) | 3.85587 | − | 3.58866i | 0.188823 | − | 0.175737i | ||||
\(418\) | − | 8.72705i | − | 0.426854i | ||||||
\(419\) | 21.1668 | 1.03406 | 0.517032 | − | 0.855966i | \(-0.327037\pi\) | ||||
0.517032 | + | 0.855966i | \(0.327037\pi\) | |||||||
\(420\) | −11.5354 | + | 13.5146i | −0.562872 | + | 0.659445i | ||||
\(421\) | −24.7598 | −1.20672 | −0.603360 | − | 0.797469i | \(-0.706172\pi\) | ||||
−0.603360 | + | 0.797469i | \(0.706172\pi\) | |||||||
\(422\) | − | 12.6220i | − | 0.614429i | ||||||
\(423\) | 0.123369 | − | 1.71632i | 0.00599841 | − | 0.0834503i | ||||
\(424\) | 6.95621 | 0.337823 | ||||||||
\(425\) | −25.4436 | −1.23420 | ||||||||
\(426\) | 10.3323 | + | 11.1016i | 0.500599 | + | 0.537874i | ||||
\(427\) | 31.8103 | − | 3.66545i | 1.53941 | − | 0.177383i | ||||
\(428\) | − | 17.5647i | − | 0.849024i | ||||||
\(429\) | −26.2057 | − | 28.1570i | −1.26522 | − | 1.35943i | ||||
\(430\) | − | 26.2391i | − | 1.26536i | ||||||
\(431\) | − | 14.4976i | − | 0.698325i | −0.937062 | − | 0.349163i | \(-0.886466\pi\) | ||
0.937062 | − | 0.349163i | \(-0.113534\pi\) | |||||||
\(432\) | −4.04768 | + | 3.25826i | −0.194744 | + | 0.156763i | ||||
\(433\) | − | 18.9525i | − | 0.910801i | −0.890287 | − | 0.455400i | \(-0.849496\pi\) | ||
0.890287 | − | 0.455400i | \(-0.150504\pi\) | |||||||
\(434\) | −1.92836 | − | 16.7351i | −0.0925643 | − | 0.803312i | ||||
\(435\) | −48.1134 | + | 44.7791i | −2.30686 | + | 2.14699i | ||||
\(436\) | −0.554958 | −0.0265776 | ||||||||
\(437\) | 1.59206 | 0.0761585 | ||||||||
\(438\) | −0.622870 | − | 0.669249i | −0.0297619 | − | 0.0319779i | ||||
\(439\) | − | 5.13220i | − | 0.244946i | −0.992472 | − | 0.122473i | \(-0.960917\pi\) | ||
0.992472 | − | 0.122473i | \(-0.0390826\pi\) | |||||||
\(440\) | −21.2541 | −1.01325 | ||||||||
\(441\) | −3.29775 | − | 20.7395i | −0.157036 | − | 0.987593i | ||||
\(442\) | 10.2732 | 0.488649 | ||||||||
\(443\) | − | 7.28414i | − | 0.346080i | −0.984915 | − | 0.173040i | \(-0.944641\pi\) | ||
0.984915 | − | 0.173040i | \(-0.0553590\pi\) | |||||||
\(444\) | −3.65092 | − | 3.92277i | −0.173265 | − | 0.186166i | ||||
\(445\) | 47.3568 | 2.24493 | ||||||||
\(446\) | 0.0999946 | 0.00473488 | ||||||||
\(447\) | 1.35919 | − | 1.26500i | 0.0642877 | − | 0.0598326i | ||||
\(448\) | −0.302862 | − | 2.62836i | −0.0143089 | − | 0.124178i | ||||
\(449\) | 28.5459i | 1.34717i | 0.739112 | + | 0.673583i | \(0.235246\pi\) | ||||
−0.739112 | + | 0.673583i | \(0.764754\pi\) | |||||||
\(450\) | 30.0241 | + | 2.15813i | 1.41535 | + | 0.101735i | ||||
\(451\) | 11.7710i | 0.554274i | ||||||||
\(452\) | 7.29007i | 0.342896i | ||||||||
\(453\) | 8.30538 | + | 8.92379i | 0.390221 | + | 0.419276i | ||||
\(454\) | 26.4176i | 1.23984i | ||||||||
\(455\) | −41.2873 | + | 4.75747i | −1.93558 | + | 0.223034i | ||||
\(456\) | −1.87867 | − | 2.01855i | −0.0879767 | − | 0.0945274i | ||||
\(457\) | 4.70548 | 0.220113 | 0.110057 | − | 0.993925i | \(-0.464897\pi\) | ||||
0.110057 | + | 0.993925i | \(0.464897\pi\) | |||||||
\(458\) | −10.5636 | −0.493606 | ||||||||
\(459\) | 10.2640 | − | 8.26222i | 0.479084 | − | 0.385647i | ||||
\(460\) | − | 3.87735i | − | 0.180782i | ||||||
\(461\) | −14.1607 | −0.659529 | −0.329764 | − | 0.944063i | \(-0.606969\pi\) | ||||
−0.329764 | + | 0.944063i | \(0.606969\pi\) | |||||||
\(462\) | 16.3083 | − | 19.1063i | 0.758729 | − | 0.888905i | ||||
\(463\) | −1.54127 | −0.0716288 | −0.0358144 | − | 0.999358i | \(-0.511403\pi\) | ||||
−0.0358144 | + | 0.999358i | \(0.511403\pi\) | |||||||
\(464\) | − | 9.78700i | − | 0.454350i | ||||||
\(465\) | −31.3012 | + | 29.1320i | −1.45156 | + | 1.35096i | ||||
\(466\) | −18.6512 | −0.864002 | ||||||||
\(467\) | 18.4584 | 0.854152 | 0.427076 | − | 0.904216i | \(-0.359544\pi\) | ||||
0.427076 | + | 0.904216i | \(0.359544\pi\) | |||||||
\(468\) | −12.1227 | − | 0.871379i | −0.560371 | − | 0.0402795i | ||||
\(469\) | −3.76466 | − | 32.6712i | −0.173836 | − | 1.50862i | ||||
\(470\) | − | 2.22398i | − | 0.102585i | ||||||
\(471\) | −0.745625 | + | 0.693953i | −0.0343566 | + | 0.0319757i | ||||
\(472\) | 4.91543i | 0.226251i | ||||||||
\(473\) | 37.0955i | 1.70565i | ||||||||
\(474\) | −2.26831 | + | 2.11112i | −0.104187 | + | 0.0969668i | ||||
\(475\) | 15.9745i | 0.732959i | ||||||||
\(476\) | 0.767990 | + | 6.66494i | 0.0352008 | + | 0.305487i | ||||
\(477\) | 20.8149 | + | 1.49618i | 0.953050 | + | 0.0685053i | ||||
\(478\) | −29.1333 | −1.33253 | ||||||||
\(479\) | −4.34248 | −0.198413 | −0.0992066 | − | 0.995067i | \(-0.531630\pi\) | ||||
−0.0992066 | + | 0.995067i | \(0.531630\pi\) | |||||||
\(480\) | −4.91605 | + | 4.57537i | −0.224386 | + | 0.208836i | ||||
\(481\) | − | 12.5345i | − | 0.571525i | ||||||
\(482\) | 5.46589 | 0.248964 | ||||||||
\(483\) | 3.48552 | + | 2.97508i | 0.158597 | + | 0.135371i | ||||
\(484\) | 19.0481 | 0.865823 | ||||||||
\(485\) | − | 31.3918i | − | 1.42543i | ||||||
\(486\) | −12.8126 | + | 8.87902i | −0.581192 | + | 0.402761i | ||||
\(487\) | 41.2175 | 1.86774 | 0.933872 | − | 0.357608i | \(-0.116408\pi\) | ||||
0.933872 | + | 0.357608i | \(0.116408\pi\) | |||||||
\(488\) | 12.1027 | 0.547864 | ||||||||
\(489\) | 6.45604 | + | 6.93676i | 0.291952 | + | 0.313691i | ||||
\(490\) | −6.17297 | − | 26.4302i | −0.278866 | − | 1.19399i | ||||
\(491\) | 16.9407i | 0.764524i | 0.924054 | + | 0.382262i | \(0.124855\pi\) | ||||
−0.924054 | + | 0.382262i | \(0.875145\pi\) | |||||||
\(492\) | 2.53394 | + | 2.72261i | 0.114239 | + | 0.122745i | ||||
\(493\) | 24.8177i | 1.11773i | ||||||||
\(494\) | − | 6.44994i | − | 0.290196i | ||||||
\(495\) | −63.5983 | − | 4.57145i | −2.85853 | − | 0.205471i | ||||
\(496\) | − | 6.36714i | − | 0.285893i | ||||||
\(497\) | −23.0138 | + | 2.65185i | −1.03231 | + | 0.118952i | ||||
\(498\) | −0.585024 | + | 0.544482i | −0.0262156 | + | 0.0243988i | ||||
\(499\) | −40.2538 | −1.80201 | −0.901004 | − | 0.433811i | \(-0.857169\pi\) | ||||
−0.901004 | + | 0.433811i | \(0.857169\pi\) | |||||||
\(500\) | 19.5180 | 0.872871 | ||||||||
\(501\) | −17.8533 | − | 19.1826i | −0.797625 | − | 0.857016i | ||||
\(502\) | − | 10.3699i | − | 0.462832i | ||||||
\(503\) | 2.46742 | 0.110017 | 0.0550085 | − | 0.998486i | \(-0.482481\pi\) | ||||
0.0550085 | + | 0.998486i | \(0.482481\pi\) | |||||||
\(504\) | −0.340925 | − | 7.92993i | −0.0151860 | − | 0.353227i | ||||
\(505\) | −67.3018 | −2.99489 | ||||||||
\(506\) | 5.48161i | 0.243687i | ||||||||
\(507\) | −4.02765 | − | 4.32755i | −0.178874 | − | 0.192193i | ||||
\(508\) | −10.0647 | −0.446549 | ||||||||
\(509\) | 0.835122 | 0.0370161 | 0.0185081 | − | 0.999829i | \(-0.494108\pi\) | ||||
0.0185081 | + | 0.999829i | \(0.494108\pi\) | |||||||
\(510\) | 12.4660 | − | 11.6021i | 0.552004 | − | 0.513750i | ||||
\(511\) | 1.38737 | − | 0.159864i | 0.0613735 | − | 0.00707197i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | −5.18734 | − | 6.44415i | −0.229027 | − | 0.284516i | ||||
\(514\) | − | 1.79485i | − | 0.0791674i | ||||||
\(515\) | − | 22.3615i | − | 0.985364i | ||||||
\(516\) | 7.98554 | + | 8.58014i | 0.351544 | + | 0.377720i | ||||
\(517\) | 3.14416i | 0.138280i | ||||||||
\(518\) | 8.13198 | − | 0.937035i | 0.357299 | − | 0.0411709i | ||||
\(519\) | −25.1749 | − | 27.0494i | −1.10506 | − | 1.18734i | ||||
\(520\) | −15.7084 | −0.688858 | ||||||||
\(521\) | −23.9058 | −1.04733 | −0.523666 | − | 0.851923i | \(-0.675436\pi\) | ||||
−0.523666 | + | 0.851923i | \(0.675436\pi\) | |||||||
\(522\) | 2.10504 | − | 29.2854i | 0.0921350 | − | 1.28179i | ||||
\(523\) | 25.5556i | 1.11747i | 0.829347 | + | 0.558733i | \(0.188712\pi\) | ||||
−0.829347 | + | 0.558733i | \(0.811288\pi\) | |||||||
\(524\) | 14.5965 | 0.637649 | ||||||||
\(525\) | −29.8515 | + | 34.9732i | −1.30283 | + | 1.52636i | ||||
\(526\) | 12.9422 | 0.564307 | ||||||||
\(527\) | 16.1456i | 0.703315i | ||||||||
\(528\) | 6.95008 | − | 6.46844i | 0.302463 | − | 0.281503i | ||||
\(529\) | −1.00000 | −0.0434783 | ||||||||
\(530\) | 26.9717 | 1.17157 | ||||||||
\(531\) | −1.05724 | + | 14.7083i | −0.0458801 | + | 0.638287i | ||||
\(532\) | 4.18450 | − | 0.482174i | 0.181421 | − | 0.0209049i | ||||
\(533\) | 8.69964i | 0.376823i | ||||||||
\(534\) | −15.4856 | + | 14.4125i | −0.670128 | + | 0.623688i | ||||
\(535\) | − | 68.1047i | − | 2.94442i | ||||||
\(536\) | − | 12.4303i | − | 0.536906i | ||||||
\(537\) | 19.1078 | − | 17.7837i | 0.824564 | − | 0.767422i | ||||
\(538\) | − | 14.8549i | − | 0.640440i | ||||||
\(539\) | 8.72705 | + | 37.3657i | 0.375901 | + | 1.60945i | ||||
\(540\) | −15.6943 | + | 12.6334i | −0.675375 | + | 0.543655i | ||||
\(541\) | 7.35253 | 0.316110 | 0.158055 | − | 0.987430i | \(-0.449478\pi\) | ||||
0.158055 | + | 0.987430i | \(0.449478\pi\) | |||||||
\(542\) | −19.5724 | −0.840706 | ||||||||
\(543\) | 8.77582 | − | 8.16766i | 0.376607 | − | 0.350508i | ||||
\(544\) | 2.53578i | 0.108721i | ||||||||
\(545\) | −2.15176 | −0.0921715 | ||||||||
\(546\) | 12.0530 | − | 14.1210i | 0.515822 | − | 0.604322i | ||||
\(547\) | 14.1086 | 0.603238 | 0.301619 | − | 0.953428i | \(-0.402473\pi\) | ||||
0.301619 | + | 0.953428i | \(0.402473\pi\) | |||||||
\(548\) | 1.09814i | 0.0469103i | ||||||||
\(549\) | 36.2147 | + | 2.60311i | 1.54561 | + | 0.111098i | ||||
\(550\) | −55.0017 | −2.34528 | ||||||||
\(551\) | 15.5815 | 0.663793 | ||||||||
\(552\) | 1.18002 | + | 1.26789i | 0.0502252 | + | 0.0539649i | ||||
\(553\) | −0.541833 | − | 4.70226i | −0.0230411 | − | 0.199960i | ||||
\(554\) | 9.80788i | 0.416697i | ||||||||
\(555\) | −14.1559 | − | 15.2099i | −0.600884 | − | 0.645626i | ||||
\(556\) | 3.04117i | 0.128974i | ||||||||
\(557\) | − | 21.9546i | − | 0.930248i | −0.885246 | − | 0.465124i | \(-0.846010\pi\) | ||
0.885246 | − | 0.465124i | \(-0.153990\pi\) | |||||||
\(558\) | 1.36948 | − | 19.0523i | 0.0579746 | − | 0.806546i | ||||
\(559\) | 27.4163i | 1.15959i | ||||||||
\(560\) | −1.17430 | − | 10.1911i | −0.0496233 | − | 0.430651i | ||||
\(561\) | −17.6239 | + | 16.4025i | −0.744080 | + | 0.692515i | ||||
\(562\) | 8.17582 | 0.344876 | ||||||||
\(563\) | 43.9089 | 1.85054 | 0.925271 | − | 0.379308i | \(-0.123838\pi\) | ||||
0.925271 | + | 0.379308i | \(0.123838\pi\) | |||||||
\(564\) | 0.676841 | + | 0.727239i | 0.0285002 | + | 0.0306223i | ||||
\(565\) | 28.2662i | 1.18917i | ||||||||
\(566\) | −6.82716 | −0.286967 | ||||||||
\(567\) | 0.685466 | − | 23.8019i | 0.0287869 | − | 0.999586i | ||||
\(568\) | −8.75597 | −0.367392 | ||||||||
\(569\) | − | 8.36193i | − | 0.350551i | −0.984519 | − | 0.175275i | \(-0.943918\pi\) | ||
0.984519 | − | 0.175275i | \(-0.0560815\pi\) | |||||||
\(570\) | −7.28425 | − | 7.82664i | −0.305104 | − | 0.327822i | ||||
\(571\) | −17.2548 | −0.722090 | −0.361045 | − | 0.932548i | \(-0.617580\pi\) | ||||
−0.361045 | + | 0.932548i | \(0.617580\pi\) | |||||||
\(572\) | 22.2078 | 0.928554 | ||||||||
\(573\) | −34.9194 | + | 32.4995i | −1.45878 | + | 1.35769i | ||||
\(574\) | −5.64403 | + | 0.650353i | −0.235577 | + | 0.0271452i | ||||
\(575\) | − | 10.0338i | − | 0.418440i | ||||||
\(576\) | 0.215085 | − | 2.99228i | 0.00896188 | − | 0.124678i | ||||
\(577\) | 45.7993i | 1.90665i | 0.301943 | + | 0.953326i | \(0.402365\pi\) | ||||
−0.301943 | + | 0.953326i | \(0.597635\pi\) | |||||||
\(578\) | 10.5698i | 0.439647i | ||||||||
\(579\) | 10.9546 | + | 11.7702i | 0.455256 | + | 0.489154i | ||||
\(580\) | − | 37.9476i | − | 1.57569i | ||||||
\(581\) | −0.139745 | − | 1.21277i | −0.00579761 | − | 0.0503141i | ||||
\(582\) | 9.55372 | + | 10.2651i | 0.396014 | + | 0.425502i | ||||
\(583\) | −38.1313 | −1.57924 | ||||||||
\(584\) | 0.527845 | 0.0218424 | ||||||||
\(585\) | −47.0039 | − | 3.37864i | −1.94337 | − | 0.139690i | ||||
\(586\) | 4.03638i | 0.166741i | ||||||||
\(587\) | 5.46189 | 0.225436 | 0.112718 | − | 0.993627i | \(-0.464044\pi\) | ||||
0.112718 | + | 0.993627i | \(0.464044\pi\) | |||||||
\(588\) | 10.0622 | + | 6.76396i | 0.414960 | + | 0.278941i | ||||
\(589\) | 10.1369 | 0.417682 | ||||||||
\(590\) | 19.0588i | 0.784640i | ||||||||
\(591\) | −0.851595 | + | 0.792580i | −0.0350299 | + | 0.0326024i | ||||
\(592\) | 3.09394 | 0.127160 | ||||||||
\(593\) | 34.9784 | 1.43639 | 0.718194 | − | 0.695842i | \(-0.244969\pi\) | ||||
0.718194 | + | 0.695842i | \(0.244969\pi\) | |||||||
\(594\) | 22.1878 | − | 17.8605i | 0.910378 | − | 0.732826i | ||||
\(595\) | 2.97777 | + | 25.8423i | 0.122077 | + | 1.05943i | ||||
\(596\) | 1.07201i | 0.0439114i | ||||||||
\(597\) | 29.9258 | − | 27.8519i | 1.22478 | − | 1.13990i | ||||
\(598\) | 4.05132i | 0.165671i | ||||||||
\(599\) | 23.4153i | 0.956725i | 0.878163 | + | 0.478362i | \(0.158769\pi\) | ||||
−0.878163 | + | 0.478362i | \(0.841231\pi\) | |||||||
\(600\) | −12.7218 | + | 11.8402i | −0.519365 | + | 0.483373i | ||||
\(601\) | − | 24.8353i | − | 1.01305i | −0.862225 | − | 0.506526i | \(-0.830930\pi\) | ||
0.862225 | − | 0.506526i | \(-0.169070\pi\) | |||||||
\(602\) | −17.7868 | + | 2.04954i | −0.724936 | + | 0.0835332i | ||||
\(603\) | 2.67357 | − | 37.1949i | 0.108876 | − | 1.51469i | ||||
\(604\) | −7.03831 | −0.286385 | ||||||||
\(605\) | 73.8561 | 3.00268 | ||||||||
\(606\) | 22.0076 | − | 20.4825i | 0.893998 | − | 0.832044i | ||||
\(607\) | 6.72695i | 0.273038i | 0.990637 | + | 0.136519i | \(0.0435915\pi\) | ||||
−0.990637 | + | 0.136519i | \(0.956408\pi\) | |||||||
\(608\) | 1.59206 | 0.0645665 | ||||||||
\(609\) | 34.1128 | + | 29.1171i | 1.38232 | + | 1.17989i | ||||
\(610\) | 46.9265 | 1.90000 | ||||||||
\(611\) | 2.32377i | 0.0940095i | ||||||||
\(612\) | −0.545408 | + | 7.58776i | −0.0220468 | + | 0.306717i | ||||
\(613\) | 36.2102 | 1.46252 | 0.731259 | − | 0.682100i | \(-0.238933\pi\) | ||||
0.731259 | + | 0.682100i | \(0.238933\pi\) | |||||||
\(614\) | 11.8749 | 0.479231 | ||||||||
\(615\) | 9.82496 | + | 10.5565i | 0.396181 | + | 0.425680i | ||||
\(616\) | 1.66017 | + | 14.4077i | 0.0668902 | + | 0.580501i | ||||
\(617\) | 20.4103i | 0.821689i | 0.911705 | + | 0.410845i | \(0.134766\pi\) | ||||
−0.911705 | + | 0.410845i | \(0.865234\pi\) | |||||||
\(618\) | 6.80544 | + | 7.31218i | 0.273755 | + | 0.294139i | ||||
\(619\) | 31.4720i | 1.26497i | 0.774574 | + | 0.632483i | \(0.217964\pi\) | ||||
−0.774574 | + | 0.632483i | \(0.782036\pi\) | |||||||
\(620\) | − | 24.6876i | − | 0.991479i | ||||||
\(621\) | 3.25826 | + | 4.04768i | 0.130749 | + | 0.162428i | ||||
\(622\) | − | 21.9913i | − | 0.881772i | ||||||
\(623\) | −3.69906 | − | 32.1020i | −0.148200 | − | 1.28614i | ||||
\(624\) | 5.13662 | − | 4.78066i | 0.205630 | − | 0.191379i | ||||
\(625\) | 25.5088 | 1.02035 | ||||||||
\(626\) | 6.93834 | 0.277312 | ||||||||
\(627\) | 10.2981 | + | 11.0649i | 0.411268 | + | 0.441891i | ||||
\(628\) | − | 0.588084i | − | 0.0234671i | ||||||
\(629\) | −7.84554 | −0.312822 | ||||||||
\(630\) | −1.32189 | − | 30.7471i | −0.0526653 | − | 1.22499i | ||||
\(631\) | −33.0258 | −1.31474 | −0.657368 | − | 0.753570i | \(-0.728330\pi\) | ||||
−0.657368 | + | 0.753570i | \(0.728330\pi\) | |||||||
\(632\) | − | 1.78905i | − | 0.0711644i | ||||||
\(633\) | 14.8943 | + | 16.0033i | 0.591994 | + | 0.636074i | ||||
\(634\) | 24.9558 | 0.991121 | ||||||||
\(635\) | −39.0244 | −1.54864 | ||||||||
\(636\) | −8.81970 | + | 8.20850i | −0.349724 | + | 0.325488i | ||||
\(637\) | 6.44994 | + | 27.6160i | 0.255556 | + | 1.09419i | ||||
\(638\) | 53.6485i | 2.12397i | ||||||||
\(639\) | −26.2003 | − | 1.88328i | −1.03647 | − | 0.0745014i | ||||
\(640\) | − | 3.87735i | − | 0.153266i | ||||||
\(641\) | 6.73717i | 0.266102i | 0.991109 | + | 0.133051i | \(0.0424774\pi\) | ||||
−0.991109 | + | 0.133051i | \(0.957523\pi\) | |||||||
\(642\) | 20.7268 | + | 22.2701i | 0.818023 | + | 0.878933i | ||||
\(643\) | 12.3313i | 0.486298i | 0.969989 | + | 0.243149i | \(0.0781805\pi\) | ||||
−0.969989 | + | 0.243149i | \(0.921820\pi\) | |||||||
\(644\) | −2.62836 | + | 0.302862i | −0.103572 | + | 0.0119344i | ||||
\(645\) | 30.9627 | + | 33.2682i | 1.21916 | + | 1.30993i | ||||
\(646\) | −4.03711 | −0.158838 | ||||||||
\(647\) | 16.5816 | 0.651889 | 0.325944 | − | 0.945389i | \(-0.394318\pi\) | ||||
0.325944 | + | 0.945389i | \(0.394318\pi\) | |||||||
\(648\) | 1.28719 | − | 8.90748i | 0.0505656 | − | 0.349919i | ||||
\(649\) | − | 26.9445i | − | 1.05766i | ||||||
\(650\) | −40.6503 | −1.59444 | ||||||||
\(651\) | 22.1928 | + | 18.9428i | 0.869805 | + | 0.742426i | ||||
\(652\) | −5.47111 | −0.214265 | ||||||||
\(653\) | − | 36.0008i | − | 1.40882i | −0.709794 | − | 0.704409i | \(-0.751212\pi\) | ||
0.709794 | − | 0.704409i | \(-0.248788\pi\) | |||||||
\(654\) | 0.703625 | − | 0.654863i | 0.0275139 | − | 0.0256072i | ||||
\(655\) | 56.5956 | 2.21137 | ||||||||
\(656\) | −2.14736 | −0.0838403 | ||||||||
\(657\) | 1.57946 | + | 0.113532i | 0.0616206 | + | 0.00442929i | ||||
\(658\) | −1.50758 | + | 0.173716i | −0.0587716 | + | 0.00677216i | ||||
\(659\) | − | 17.0146i | − | 0.662793i | −0.943492 | − | 0.331396i | \(-0.892480\pi\) | ||
0.943492 | − | 0.331396i | \(-0.107520\pi\) | |||||||
\(660\) | 26.9479 | − | 25.0804i | 1.04895 | − | 0.976253i | ||||
\(661\) | − | 47.2095i | − | 1.83623i | −0.396308 | − | 0.918117i | \(-0.629709\pi\) | ||
0.396308 | − | 0.918117i | \(-0.370291\pi\) | |||||||
\(662\) | − | 6.74735i | − | 0.262243i | ||||||
\(663\) | −13.0253 | + | 12.1227i | −0.505862 | + | 0.470806i | ||||
\(664\) | − | 0.461416i | − | 0.0179064i | ||||||
\(665\) | 16.2248 | − | 1.86956i | 0.629170 | − | 0.0724983i | ||||
\(666\) | 9.25792 | + | 0.665460i | 0.358737 | + | 0.0257861i | ||||
\(667\) | −9.78700 | −0.378954 | ||||||||
\(668\) | 15.1296 | 0.585380 | ||||||||
\(669\) | −0.126782 | + | 0.117996i | −0.00490168 | + | 0.00456199i | ||||
\(670\) | − | 48.1966i | − | 1.86200i | ||||||
\(671\) | −66.3424 | −2.56112 | ||||||||
\(672\) | 3.48552 | + | 2.97508i | 0.134457 | + | 0.114766i | ||||
\(673\) | −32.1543 | −1.23946 | −0.619729 | − | 0.784816i | \(-0.712757\pi\) | ||||
−0.619729 | + | 0.784816i | \(0.712757\pi\) | |||||||
\(674\) | − | 16.5741i | − | 0.638411i | ||||||
\(675\) | −40.6138 | + | 32.6929i | −1.56323 | + | 1.25835i | ||||
\(676\) | 3.41319 | 0.131277 | ||||||||
\(677\) | −16.5283 | −0.635233 | −0.317617 | − | 0.948219i | \(-0.602882\pi\) | ||||
−0.317617 | + | 0.948219i | \(0.602882\pi\) | |||||||
\(678\) | −8.60246 | − | 9.24300i | −0.330376 | − | 0.354975i | ||||
\(679\) | −21.2797 | + | 2.45203i | −0.816642 | + | 0.0941003i | ||||
\(680\) | 9.83210i | 0.377044i | ||||||||
\(681\) | −31.1735 | − | 33.4946i | −1.19457 | − | 1.28352i | ||||
\(682\) | 34.9022i | 1.33647i | ||||||||
\(683\) | − | 0.467428i | − | 0.0178856i | −0.999960 | − | 0.00894281i | \(-0.997153\pi\) | ||
0.999960 | − | 0.00894281i | \(-0.00284662\pi\) | |||||||
\(684\) | 4.76389 | + | 0.342428i | 0.182152 | + | 0.0130931i | ||||
\(685\) | 4.25788i | 0.162685i | ||||||||
\(686\) | −17.4342 | + | 6.24897i | −0.665640 | + | 0.238587i | ||||
\(687\) | 13.3935 | − | 12.4653i | 0.510994 | − | 0.475582i | ||||
\(688\) | −6.76726 | −0.258000 | ||||||||
\(689\) | −28.1818 | −1.07364 | ||||||||
\(690\) | 4.57537 | + | 4.91605i | 0.174181 | + | 0.187151i | ||||
\(691\) | − | 10.4702i | − | 0.398304i | −0.979969 | − | 0.199152i | \(-0.936181\pi\) | ||
0.979969 | − | 0.199152i | \(-0.0638188\pi\) | |||||||
\(692\) | 21.3342 | 0.811006 | ||||||||
\(693\) | 1.86882 | + | 43.4688i | 0.0709907 | + | 1.65124i | ||||
\(694\) | −17.3061 | −0.656930 | ||||||||
\(695\) | 11.7917i | 0.447284i | ||||||||
\(696\) | 11.5489 | + | 12.4088i | 0.437760 | + | 0.470355i | ||||
\(697\) | 5.44523 | 0.206253 | ||||||||
\(698\) | 13.0219 | 0.492886 | ||||||||
\(699\) | 23.6477 | − | 22.0089i | 0.894438 | − | 0.832454i | ||||
\(700\) | −3.03887 | − | 26.3726i | −0.114858 | − | 0.996789i | ||||
\(701\) | − | 48.9190i | − | 1.84765i | −0.382821 | − | 0.923823i | \(-0.625047\pi\) | ||
0.382821 | − | 0.923823i | \(-0.374953\pi\) | |||||||
\(702\) | 16.3985 | − | 13.2002i | 0.618920 | − | 0.498211i | ||||
\(703\) | 4.92573i | 0.185777i | ||||||||
\(704\) | 5.48161i | 0.206596i | ||||||||
\(705\) | 2.62435 | + | 2.81976i | 0.0988387 | + | 0.106198i | ||||
\(706\) | 20.9771i | 0.789483i | ||||||||
\(707\) | 5.25697 | + | 45.6222i | 0.197709 | + | 1.71580i | ||||
\(708\) | −5.80032 | − | 6.23222i | −0.217990 | − | 0.234221i | ||||
\(709\) | −34.6151 | −1.30000 | −0.649998 | − | 0.759936i | \(-0.725230\pi\) | ||||
−0.649998 | + | 0.759936i | \(0.725230\pi\) | |||||||
\(710\) | −33.9499 | −1.27412 | ||||||||
\(711\) | 0.384797 | − | 5.35333i | 0.0144310 | − | 0.200765i | ||||
\(712\) | − | 12.2137i | − | 0.457728i | ||||||
\(713\) | −6.36714 | −0.238451 | ||||||||
\(714\) | −8.83851 | − | 7.54415i | −0.330773 | − | 0.282333i | ||||
\(715\) | 86.1073 | 3.22023 | ||||||||
\(716\) | 15.0706i | 0.563215i | ||||||||
\(717\) | 36.9378 | − | 34.3780i | 1.37947 | − | 1.28387i | ||||
\(718\) | 23.6584 | 0.882925 | ||||||||
\(719\) | 12.5885 | 0.469470 | 0.234735 | − | 0.972059i | \(-0.424578\pi\) | ||||
0.234735 | + | 0.972059i | \(0.424578\pi\) | |||||||
\(720\) | 0.833961 | − | 11.6021i | 0.0310799 | − | 0.432385i | ||||
\(721\) | −15.1583 | + | 1.74667i | −0.564524 | + | 0.0650492i | ||||
\(722\) | − | 16.4653i | − | 0.612777i | ||||||
\(723\) | −6.93014 | + | 6.44988i | −0.257735 | + | 0.239874i | ||||
\(724\) | 6.92160i | 0.257239i | ||||||||
\(725\) | − | 98.2012i | − | 3.64710i | ||||||
\(726\) | −24.1509 | + | 22.4772i | −0.896323 | + | 0.834208i | ||||
\(727\) | − | 21.6999i | − | 0.804804i | −0.915463 | − | 0.402402i | \(-0.868175\pi\) | ||
0.915463 | − | 0.402402i | \(-0.131825\pi\) | |||||||
\(728\) | 1.22699 | + | 10.6483i | 0.0454753 | + | 0.394653i | ||||
\(729\) | 5.76750 | − | 26.3768i | 0.213611 | − | 0.976919i | ||||
\(730\) | 2.04664 | 0.0757495 | ||||||||
\(731\) | 17.1603 | 0.634696 | ||||||||
\(732\) | −15.3449 | + | 14.2815i | −0.567164 | + | 0.527859i | ||||
\(733\) | − | 39.1763i | − | 1.44701i | −0.690319 | − | 0.723505i | \(-0.742530\pi\) | ||
0.690319 | − | 0.723505i | \(-0.257470\pi\) | |||||||
\(734\) | −32.0746 | −1.18390 | ||||||||
\(735\) | 39.0149 | + | 26.2262i | 1.43908 | + | 0.967370i | ||||
\(736\) | −1.00000 | −0.0368605 | ||||||||
\(737\) | 68.1380i | 2.50990i | ||||||||
\(738\) | −6.42550 | − | 0.461865i | −0.236526 | − | 0.0170015i | ||||
\(739\) | 35.7175 | 1.31389 | 0.656945 | − | 0.753938i | \(-0.271848\pi\) | ||||
0.656945 | + | 0.753938i | \(0.271848\pi\) | |||||||
\(740\) | 11.9963 | 0.440992 | ||||||||
\(741\) | 7.61108 | + | 8.17781i | 0.279600 | + | 0.300419i | ||||
\(742\) | −2.10677 | − | 18.2834i | −0.0773419 | − | 0.671205i | ||||
\(743\) | − | 17.4669i | − | 0.640799i | −0.947283 | − | 0.320399i | \(-0.896183\pi\) | ||
0.947283 | − | 0.320399i | \(-0.103817\pi\) | |||||||
\(744\) | 7.51338 | + | 8.07282i | 0.275454 | + | 0.295964i | ||||
\(745\) | 4.15657i | 0.152285i | ||||||||
\(746\) | 19.3797i | 0.709543i | ||||||||
\(747\) | 0.0992438 | − | 1.38069i | 0.00363114 | − | 0.0505167i | ||||
\(748\) | − | 13.9002i | − | 0.508240i | ||||||
\(749\) | −46.1665 | + | 5.31969i | −1.68689 | + | 0.194377i | ||||
\(750\) | −24.7466 | + | 23.0317i | −0.903619 | + | 0.840999i | ||||
\(751\) | 20.2274 | 0.738107 | 0.369053 | − | 0.929408i | \(-0.379682\pi\) | ||||
0.369053 | + | 0.929408i | \(0.379682\pi\) | |||||||
\(752\) | −0.573582 | −0.0209164 | ||||||||
\(753\) | 12.2367 | + | 13.1479i | 0.445932 | + | 0.479136i | ||||
\(754\) | 39.6503i | 1.44398i | ||||||||
\(755\) | −27.2900 | −0.993184 | ||||||||
\(756\) | 9.78976 | + | 9.65197i | 0.356050 | + | 0.351039i | ||||
\(757\) | 12.0119 | 0.436578 | 0.218289 | − | 0.975884i | \(-0.429952\pi\) | ||||
0.218289 | + | 0.975884i | \(0.429952\pi\) | |||||||
\(758\) | − | 25.0421i | − | 0.909568i | ||||||
\(759\) | −6.46844 | − | 6.95008i | −0.234789 | − | 0.252272i | ||||
\(760\) | 6.17297 | 0.223917 | ||||||||
\(761\) | −22.7541 | −0.824837 | −0.412418 | − | 0.910995i | \(-0.635316\pi\) | ||||
−0.412418 | + | 0.910995i | \(0.635316\pi\) | |||||||
\(762\) | 12.7609 | − | 11.8766i | 0.462280 | − | 0.430244i | ||||
\(763\) | 0.168075 | + | 1.45863i | 0.00608474 | + | 0.0528059i | ||||
\(764\) | − | 27.5414i | − | 0.996413i | ||||||
\(765\) | −2.11474 | + | 29.4204i | −0.0764586 | + | 1.06370i | ||||
\(766\) | 28.4246i | 1.02702i | ||||||||
\(767\) | − | 19.9140i | − | 0.719052i | ||||||
\(768\) | 1.18002 | + | 1.26789i | 0.0425805 | + | 0.0457510i | ||||
\(769\) | − | 28.8898i | − | 1.04179i | −0.853620 | − | 0.520896i | \(-0.825598\pi\) | ||
0.853620 | − | 0.520896i | \(-0.174402\pi\) | |||||||
\(770\) | 6.43706 | + | 55.8635i | 0.231976 | + | 2.01318i | ||||
\(771\) | 2.11797 | + | 2.27567i | 0.0762767 | + | 0.0819562i | ||||
\(772\) | −9.28333 | −0.334114 | ||||||||
\(773\) | −14.5743 | −0.524200 | −0.262100 | − | 0.965041i | \(-0.584415\pi\) | ||||
−0.262100 | + | 0.965041i | \(0.584415\pi\) | |||||||
\(774\) | −20.2495 | − | 1.45554i | −0.727855 | − | 0.0523182i | ||||
\(775\) | − | 63.8869i | − | 2.29488i | ||||||
\(776\) | −8.09621 | −0.290637 | ||||||||
\(777\) | −9.20472 | + | 10.7840i | −0.330218 | + | 0.386873i | ||||
\(778\) | 19.7035 | 0.706406 | ||||||||
\(779\) | − | 3.41872i | − | 0.122488i | ||||||
\(780\) | 19.9165 | − | 18.5363i | 0.713125 | − | 0.663705i | ||||
\(781\) | 47.9968 | 1.71746 | ||||||||
\(782\) | 2.53578 | 0.0906792 | ||||||||
\(783\) | 31.8886 | + | 39.6147i | 1.13960 | + | 1.41571i | ||||
\(784\) | −6.81655 | + | 1.59206i | −0.243448 | + | 0.0568592i | ||||
\(785\) | − | 2.28021i | − | 0.0813841i | ||||||
\(786\) | −18.5067 | + | 17.2242i | −0.660112 | + | 0.614366i | ||||
\(787\) | − | 3.66338i | − | 0.130585i | −0.997866 | − | 0.0652927i | \(-0.979202\pi\) | ||
0.997866 | − | 0.0652927i | \(-0.0207981\pi\) | |||||||
\(788\) | − | 0.671664i | − | 0.0239270i | ||||||
\(789\) | −16.4093 | + | 15.2721i | −0.584185 | + | 0.543701i | ||||
\(790\) | − | 6.93676i | − | 0.246799i | ||||||
\(791\) | 19.1609 | − | 2.20788i | 0.681284 | − | 0.0785033i | ||||
\(792\) | −1.17901 | + | 16.4025i | −0.0418944 | + | 0.582838i | ||||
\(793\) | −49.0320 | −1.74118 | ||||||||
\(794\) | 24.3072 | 0.862632 | ||||||||
\(795\) | −34.1971 | + | 31.8272i | −1.21285 | + | 1.12879i | ||||
\(796\) | 23.6028i | 0.836580i | ||||||||
\(797\) | 39.2481 | 1.39024 | 0.695120 | − | 0.718894i | \(-0.255351\pi\) | ||||
0.695120 | + | 0.718894i | \(0.255351\pi\) | |||||||
\(798\) | −4.73651 | + | 5.54916i | −0.167671 | + | 0.196438i | ||||
\(799\) | 1.45448 | 0.0514557 | ||||||||
\(800\) | − | 10.0338i | − | 0.354750i | ||||||
\(801\) | 2.62699 | − | 36.5468i | 0.0928200 | − | 1.29132i | ||||
\(802\) | −14.9262 | −0.527061 | ||||||||
\(803\) | −2.89344 | −0.102107 | ||||||||
\(804\) | 14.6680 | + | 15.7602i | 0.517302 | + | 0.555820i | ||||
\(805\) | −10.1911 | + | 1.17430i | −0.359188 | + | 0.0413887i | ||||
\(806\) | 25.7953i | 0.908601i | ||||||||
\(807\) | 17.5291 | + | 18.8344i | 0.617055 | + | 0.663001i | ||||
\(808\) | 17.3577i | 0.610641i | ||||||||
\(809\) | − | 5.36364i | − | 0.188575i | −0.995545 | − | 0.0942877i | \(-0.969943\pi\) | ||
0.995545 | − | 0.0942877i | \(-0.0300574\pi\) | |||||||
\(810\) | 4.99089 | − | 34.5374i | 0.175362 | − | 1.21352i | ||||
\(811\) | 8.17676i | 0.287125i | 0.989641 | + | 0.143562i | \(0.0458558\pi\) | ||||
−0.989641 | + | 0.143562i | \(0.954144\pi\) | |||||||
\(812\) | −25.7238 | + | 2.96411i | −0.902727 | + | 0.104020i | ||||
\(813\) | 24.8156 | − | 23.0959i | 0.870321 | − | 0.810008i | ||||
\(814\) | −16.9598 | −0.594440 | ||||||||
\(815\) | −21.2134 | −0.743073 | ||||||||
\(816\) | −2.99228 | − | 3.21509i | −0.104751 | − | 0.112550i | ||||
\(817\) | − | 10.7739i | − | 0.376930i | ||||||
\(818\) | −20.2559 | −0.708231 | ||||||||
\(819\) | 1.38120 | + | 32.1267i | 0.0482630 | + | 1.12260i | ||||
\(820\) | −8.32606 | −0.290759 | ||||||||
\(821\) | 48.4373i | 1.69047i | 0.534393 | + | 0.845236i | \(0.320540\pi\) | ||||
−0.534393 | + | 0.845236i | \(0.679460\pi\) | |||||||
\(822\) | −1.29583 | − | 1.39232i | −0.0451974 | − | 0.0485628i | ||||
\(823\) | 18.4351 | 0.642609 | 0.321304 | − | 0.946976i | \(-0.395879\pi\) | ||||
0.321304 | + | 0.946976i | \(0.395879\pi\) | |||||||
\(824\) | −5.76721 | −0.200910 | ||||||||
\(825\) | 69.7360 | − | 64.9033i | 2.42790 | − | 2.25964i | ||||
\(826\) | 12.9195 | − | 1.48869i | 0.449527 | − | 0.0517983i | ||||
\(827\) | − | 16.5808i | − | 0.576571i | −0.957544 | − | 0.288286i | \(-0.906915\pi\) | ||
0.957544 | − | 0.288286i | \(-0.0930852\pi\) | |||||||
\(828\) | −2.99228 | − | 0.215085i | −0.103989 | − | 0.00747473i | ||||
\(829\) | − | 2.74513i | − | 0.0953422i | −0.998863 | − | 0.0476711i | \(-0.984820\pi\) | ||
0.998863 | − | 0.0476711i | \(-0.0151799\pi\) | |||||||
\(830\) | − | 1.78907i | − | 0.0620996i | ||||||
\(831\) | −11.5735 | − | 12.4353i | −0.401482 | − | 0.431376i | ||||
\(832\) | 4.05132i | 0.140454i | ||||||||
\(833\) | 17.2853 | − | 4.03711i | 0.598899 | − | 0.139877i | ||||
\(834\) | −3.58866 | − | 3.85587i | −0.124265 | − | 0.133518i | ||||
\(835\) | 58.6626 | 2.03010 | ||||||||
\(836\) | −8.72705 | −0.301831 | ||||||||
\(837\) | 20.7458 | + | 25.7722i | 0.717079 | + | 0.890816i | ||||
\(838\) | − | 21.1668i | − | 0.731194i | ||||||
\(839\) | 33.5960 | 1.15986 | 0.579932 | − | 0.814665i | \(-0.303079\pi\) | ||||
0.579932 | + | 0.814665i | \(0.303079\pi\) | |||||||
\(840\) | 13.5146 | + | 11.5354i | 0.466298 | + | 0.398011i | ||||
\(841\) | −66.7853 | −2.30294 | ||||||||
\(842\) | 24.7598i | 0.853280i | ||||||||
\(843\) | −10.3660 | + | 9.64767i | −0.357025 | + | 0.332283i | ||||
\(844\) | −12.6220 | −0.434467 | ||||||||
\(845\) | 13.2341 | 0.455268 | ||||||||
\(846\) | −1.71632 | − | 0.123369i | −0.0590083 | − | 0.00424152i | ||||
\(847\) | −5.76894 | − | 50.0653i | −0.198223 | − | 1.72026i | ||||
\(848\) | − | 6.95621i | − | 0.238877i | ||||||
\(849\) | 8.65609 | − | 8.05622i | 0.297076 | − | 0.276489i | ||||
\(850\) | 25.4436i | 0.872708i | ||||||||
\(851\) | − | 3.09394i | − | 0.106059i | ||||||
\(852\) | 11.1016 | − | 10.3323i | 0.380334 | − | 0.353977i | ||||
\(853\) | − | 28.3818i | − | 0.971775i | −0.874021 | − | 0.485887i | \(-0.838497\pi\) | ||
0.874021 | − | 0.485887i | \(-0.161503\pi\) | |||||||
\(854\) | −3.66545 | − | 31.8103i | −0.125429 | − | 1.08853i | ||||
\(855\) | 18.4713 | + | 1.32771i | 0.631703 | + | 0.0454069i | ||||
\(856\) | −17.5647 | −0.600351 | ||||||||
\(857\) | 6.84983 | 0.233986 | 0.116993 | − | 0.993133i | \(-0.462675\pi\) | ||||
0.116993 | + | 0.993133i | \(0.462675\pi\) | |||||||
\(858\) | −28.1570 | + | 26.2057i | −0.961264 | + | 0.894648i | ||||
\(859\) | − | 34.0403i | − | 1.16144i | −0.814103 | − | 0.580720i | \(-0.802771\pi\) | ||
0.814103 | − | 0.580720i | \(-0.197229\pi\) | |||||||
\(860\) | −26.2391 | −0.894744 | ||||||||
\(861\) | 6.38857 | − | 7.48467i | 0.217722 | − | 0.255077i | ||||
\(862\) | −14.4976 | −0.493790 | ||||||||
\(863\) | − | 1.37996i | − | 0.0469745i | −0.999724 | − | 0.0234872i | \(-0.992523\pi\) | ||
0.999724 | − | 0.0234872i | \(-0.00747690\pi\) | |||||||
\(864\) | 3.25826 | + | 4.04768i | 0.110848 | + | 0.137705i | ||||
\(865\) | 82.7203 | 2.81257 | ||||||||
\(866\) | −18.9525 | −0.644034 | ||||||||
\(867\) | −12.4727 | − | 13.4014i | −0.423594 | − | 0.455134i | ||||
\(868\) | −16.7351 | + | 1.92836i | −0.568027 | + | 0.0654529i | ||||
\(869\) | 9.80686i | 0.332675i | ||||||||
\(870\) | 44.7791 | + | 48.1134i | 1.51815 | + | 1.63120i | ||||
\(871\) | 50.3590i | 1.70635i | ||||||||
\(872\) | 0.554958i | 0.0187932i | ||||||||
\(873\) | −24.2261 | − | 1.74137i | −0.819930 | − | 0.0589366i | ||||
\(874\) | − | 1.59206i | − | 0.0538522i | ||||||
\(875\) | −5.91125 | − | 51.3003i | −0.199837 | − | 1.73427i | ||||
\(876\) | −0.669249 | + | 0.622870i | −0.0226118 | + | 0.0210448i | ||||
\(877\) | 18.2061 | 0.614775 | 0.307387 | − | 0.951584i | \(-0.400545\pi\) | ||||
0.307387 | + | 0.951584i | \(0.400545\pi\) | |||||||
\(878\) | −5.13220 | −0.173203 | ||||||||
\(879\) | −4.76302 | − | 5.11768i | −0.160653 | − | 0.172615i | ||||
\(880\) | 21.2541i | 0.716477i | ||||||||
\(881\) | 25.7395 | 0.867187 | 0.433593 | − | 0.901109i | \(-0.357245\pi\) | ||||
0.433593 | + | 0.901109i | \(0.357245\pi\) | |||||||
\(882\) | −20.7395 | + | 3.29775i | −0.698334 | + | 0.111041i | ||||
\(883\) | 46.8161 | 1.57549 | 0.787743 | − | 0.616004i | \(-0.211250\pi\) | ||||
0.787743 | + | 0.616004i | \(0.211250\pi\) | |||||||
\(884\) | − | 10.2732i | − | 0.345527i | ||||||
\(885\) | −22.4899 | − | 24.1645i | −0.755989 | − | 0.812280i | ||||
\(886\) | −7.28414 | −0.244715 | ||||||||
\(887\) | 24.7708 | 0.831722 | 0.415861 | − | 0.909428i | \(-0.363480\pi\) | ||||
0.415861 | + | 0.909428i | \(0.363480\pi\) | |||||||
\(888\) | −3.92277 | + | 3.65092i | −0.131639 | + | 0.122517i | ||||
\(889\) | 3.04821 | + | 26.4537i | 0.102234 | + | 0.887228i | ||||
\(890\) | − | 47.3568i | − | 1.58740i | ||||||
\(891\) | −7.05588 | + | 48.8274i | −0.236381 | + | 1.63578i | ||||
\(892\) | − | 0.0999946i | − | 0.00334807i | ||||||
\(893\) | − | 0.913177i | − | 0.0305583i | ||||||
\(894\) | −1.26500 | − | 1.35919i | −0.0423080 | − | 0.0454583i | ||||
\(895\) | 58.4340i | 1.95323i | ||||||||
\(896\) | −2.62836 | + | 0.302862i | −0.0878073 | + | 0.0101179i | ||||
\(897\) | −4.78066 | − | 5.13662i | −0.159621 | − | 0.171507i | ||||
\(898\) | 28.5459 | 0.952590 | ||||||||
\(899\) | −62.3152 | −2.07833 | ||||||||
\(900\) | 2.15813 | − | 30.0241i | 0.0719377 | − | 1.00080i | ||||
\(901\) | 17.6394i | 0.587654i | ||||||||
\(902\) | 11.7710 | 0.391931 | ||||||||
\(903\) | 20.1332 | − | 23.5875i | 0.669990 | − | 0.784941i | ||||
\(904\) | 7.29007 | 0.242464 | ||||||||
\(905\) | 26.8375i | 0.892108i | ||||||||
\(906\) | 8.92379 | − | 8.30538i | 0.296473 | − | 0.275928i | ||||
\(907\) | 36.6141 | 1.21575 | 0.607876 | − | 0.794032i | \(-0.292022\pi\) | ||||
0.607876 | + | 0.794032i | \(0.292022\pi\) | |||||||
\(908\) | 26.4176 | 0.876700 | ||||||||
\(909\) | −3.73338 | + | 51.9390i | −0.123828 | + | 1.72271i | ||||
\(910\) | 4.75747 | + | 41.2873i | 0.157709 | + | 1.36866i | ||||
\(911\) | − | 21.3903i | − | 0.708693i | −0.935114 | − | 0.354346i | \(-0.884703\pi\) | ||
0.935114 | − | 0.354346i | \(-0.115297\pi\) | |||||||
\(912\) | −2.01855 | + | 1.87867i | −0.0668410 | + | 0.0622089i | ||||
\(913\) | 2.52931i | 0.0837078i | ||||||||
\(914\) | − | 4.70548i | − | 0.155643i | ||||||
\(915\) | −59.4975 | + | 55.3744i | −1.96693 | + | 1.83062i | ||||
\(916\) | 10.5636i | 0.349032i | ||||||||
\(917\) | −4.42071 | − | 38.3648i | −0.145985 | − | 1.26692i | ||||
\(918\) | −8.26222 | − | 10.2640i | −0.272694 | − | 0.338763i | ||||
\(919\) | 8.52949 | 0.281362 | 0.140681 | − | 0.990055i | \(-0.455071\pi\) | ||||
0.140681 | + | 0.990055i | \(0.455071\pi\) | |||||||
\(920\) | −3.87735 | −0.127832 | ||||||||
\(921\) | −15.0560 | + | 14.0126i | −0.496112 | + | 0.461732i | ||||
\(922\) | 14.1607i | 0.466357i | ||||||||
\(923\) | 35.4732 | 1.16762 | ||||||||
\(924\) | −19.1063 | − | 16.3083i | −0.628551 | − | 0.536503i | ||||
\(925\) | 31.0441 | 1.02072 | ||||||||
\(926\) | 1.54127i | 0.0506492i | ||||||||
\(927\) | −17.2571 | − | 1.24044i | −0.566797 | − | 0.0407414i | ||||
\(928\) | −9.78700 | −0.321274 | ||||||||
\(929\) | 48.3584 | 1.58659 | 0.793293 | − | 0.608840i | \(-0.208365\pi\) | ||||
0.793293 | + | 0.608840i | \(0.208365\pi\) | |||||||
\(930\) | 29.1320 | + | 31.3012i | 0.955276 | + | 1.02641i | ||||
\(931\) | −2.53465 | − | 10.8523i | −0.0830698 | − | 0.355671i | ||||
\(932\) | 18.6512i | 0.610942i | ||||||||
\(933\) | 25.9503 | + | 27.8826i | 0.849575 | + | 0.912834i | ||||
\(934\) | − | 18.4584i | − | 0.603976i | ||||||
\(935\) | − | 53.8958i | − | 1.76258i | ||||||
\(936\) | −0.871379 | + | 12.1227i | −0.0284819 | + | 0.396242i | ||||
\(937\) | − | 33.7502i | − | 1.10257i | −0.834317 | − | 0.551285i | \(-0.814138\pi\) | ||
0.834317 | − | 0.551285i | \(-0.185862\pi\) | |||||||
\(938\) | −32.6712 | + | 3.76466i | −1.06675 | + | 0.122920i | ||||
\(939\) | −8.79705 | + | 8.18741i | −0.287081 | + | 0.267186i | ||||
\(940\) | −2.22398 | −0.0725382 | ||||||||
\(941\) | −27.5070 | −0.896701 | −0.448351 | − | 0.893858i | \(-0.647988\pi\) | ||||
−0.448351 | + | 0.893858i | \(0.647988\pi\) | |||||||
\(942\) | 0.693953 | + | 0.745625i | 0.0226102 | + | 0.0242938i | ||||
\(943\) | 2.14736i | 0.0699276i | ||||||||
\(944\) | 4.91543 | 0.159984 | ||||||||
\(945\) | 37.9583 | + | 37.4241i | 1.23479 | + | 1.21740i | ||||
\(946\) | 37.0955 | 1.20608 | ||||||||
\(947\) | 11.0106i | 0.357796i | 0.983868 | + | 0.178898i | \(0.0572532\pi\) | ||||
−0.983868 | + | 0.178898i | \(0.942747\pi\) | |||||||
\(948\) | 2.11112 | + | 2.26831i | 0.0685659 | + | 0.0736713i | ||||
\(949\) | −2.13847 | −0.0694176 | ||||||||
\(950\) | 15.9745 | 0.518280 | ||||||||
\(951\) | −31.6412 | + | 29.4484i | −1.02604 | + | 0.954931i | ||||
\(952\) | 6.66494 | − | 0.767990i | 0.216012 | − | 0.0248907i | ||||
\(953\) | 41.4210i | 1.34176i | 0.741567 | + | 0.670879i | \(0.234083\pi\) | ||||
−0.741567 | + | 0.670879i | \(0.765917\pi\) | |||||||
\(954\) | 1.49618 | − | 20.8149i | 0.0484405 | − | 0.673908i | ||||
\(955\) | − | 106.788i | − | 3.45557i | ||||||
\(956\) | 29.1333i | 0.942239i | ||||||||
\(957\) | −63.3066 | − | 68.0204i | −2.04641 | − | 2.19879i | ||||
\(958\) | 4.34248i | 0.140299i | ||||||||
\(959\) | 2.88631 | − | 0.332585i | 0.0932039 | − | 0.0107397i | ||||
\(960\) | 4.57537 | + | 4.91605i | 0.147669 | + | 0.158665i | ||||
\(961\) | −9.54044 | −0.307756 | ||||||||
\(962\) | −12.5345 | −0.404129 | ||||||||
\(963\) | −52.5586 | − | 3.77792i | −1.69368 | − | 0.121742i | ||||
\(964\) | − | 5.46589i | − | 0.176044i | ||||||
\(965\) | −35.9947 | −1.15871 | ||||||||
\(966\) | 2.97508 | − | 3.48552i | 0.0957218 | − | 0.112145i | ||||
\(967\) | −25.3262 | −0.814437 | −0.407218 | − | 0.913331i | \(-0.633501\pi\) | ||||
−0.407218 | + | 0.913331i | \(0.633501\pi\) | |||||||
\(968\) | − | 19.0481i | − | 0.612229i | ||||||
\(969\) | 5.11860 | − | 4.76389i | 0.164433 | − | 0.153038i | ||||
\(970\) | −31.3918 | −1.00793 | ||||||||
\(971\) | 0.639049 | 0.0205081 | 0.0102540 | − | 0.999947i | \(-0.496736\pi\) | ||||
0.0102540 | + | 0.999947i | \(0.496736\pi\) | |||||||
\(972\) | 8.87902 | + | 12.8126i | 0.284795 | + | 0.410965i | ||||
\(973\) | 7.99329 | − | 0.921054i | 0.256253 | − | 0.0295276i | ||||
\(974\) | − | 41.2175i | − | 1.32069i | ||||||
\(975\) | 51.5401 | − | 47.9684i | 1.65060 | − | 1.53622i | ||||
\(976\) | − | 12.1027i | − | 0.387398i | ||||||
\(977\) | 28.1788i | 0.901519i | 0.892646 | + | 0.450759i | \(0.148847\pi\) | ||||
−0.892646 | + | 0.450759i | \(0.851153\pi\) | |||||||
\(978\) | 6.93676 | − | 6.45604i | 0.221813 | − | 0.206441i | ||||
\(979\) | 66.9508i | 2.13976i | ||||||||
\(980\) | −26.4302 | + | 6.17297i | −0.844280 | + | 0.197188i | ||||
\(981\) | −0.119363 | + | 1.66059i | −0.00381097 | + | 0.0530185i | ||||
\(982\) | 16.9407 | 0.540600 | ||||||||
\(983\) | 47.8001 | 1.52459 | 0.762294 | − | 0.647231i | \(-0.224073\pi\) | ||||
0.762294 | + | 0.647231i | \(0.224073\pi\) | |||||||
\(984\) | 2.72261 | − | 2.53394i | 0.0867937 | − | 0.0807789i | ||||
\(985\) | − | 2.60428i | − | 0.0829791i | ||||||
\(986\) | 24.8177 | 0.790355 | ||||||||
\(987\) | 1.70646 | − | 1.99923i | 0.0543171 | − | 0.0636363i | ||||
\(988\) | −6.44994 | −0.205200 | ||||||||
\(989\) | 6.76726i | 0.215186i | ||||||||
\(990\) | −4.57145 | + | 63.5983i | −0.145290 | + | 2.02129i | ||||
\(991\) | −15.8113 | −0.502263 | −0.251131 | − | 0.967953i | \(-0.580803\pi\) | ||||
−0.251131 | + | 0.967953i | \(0.580803\pi\) | |||||||
\(992\) | −6.36714 | −0.202157 | ||||||||
\(993\) | 7.96204 | + | 8.55489i | 0.252668 | + | 0.271481i | ||||
\(994\) | 2.65185 | + | 23.0138i | 0.0841115 | + | 0.729954i | ||||
\(995\) | 91.5164i | 2.90127i | ||||||||
\(996\) | 0.544482 | + | 0.585024i | 0.0172526 | + | 0.0185372i | ||||
\(997\) | 55.5747i | 1.76007i | 0.474911 | + | 0.880034i | \(0.342480\pi\) | ||||
−0.474911 | + | 0.880034i | \(0.657520\pi\) | |||||||
\(998\) | 40.2538i | 1.27421i | ||||||||
\(999\) | −12.5233 | + | 10.0808i | −0.396219 | + | 0.318944i |
(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 | 966.2.f.c.461.11 | yes | 28 | |
3.2 | odd | 2 | inner | 966.2.f.c.461.18 | yes | 28 | |
7.6 | odd | 2 | inner | 966.2.f.c.461.4 | ✓ | 28 | |
21.20 | even | 2 | inner | 966.2.f.c.461.25 | yes | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.2.f.c.461.4 | ✓ | 28 | 7.6 | odd | 2 | inner | |
966.2.f.c.461.11 | yes | 28 | 1.1 | even | 1 | trivial | |
966.2.f.c.461.18 | yes | 28 | 3.2 | odd | 2 | inner | |
966.2.f.c.461.25 | yes | 28 | 21.20 | even | 2 | inner |