Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [231,2,Mod(197,231)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(231, 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("231.197");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 231 = 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 231.g (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: | \(1.84454428669\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 197.20 | ||
Character | \(\chi\) | \(=\) | 231.197 |
Dual form | 231.2.g.a.197.19 |
$q$-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 \(\left(\mathbb{Z}/231\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.92194 | 1.35901 | 0.679507 | − | 0.733669i | \(-0.262194\pi\) | ||||
0.679507 | + | 0.733669i | \(0.262194\pi\) | |||||||
\(3\) | 1.23500 | + | 1.21441i | 0.713025 | + | 0.701139i | ||||
\(4\) | 1.69384 | 0.846921 | ||||||||
\(5\) | − | 0.413489i | − | 0.184918i | −0.995717 | − | 0.0924588i | \(-0.970527\pi\) | ||
0.995717 | − | 0.0924588i | \(-0.0294727\pi\) | |||||||
\(6\) | 2.37358 | + | 2.33402i | 0.969012 | + | 0.952858i | ||||
\(7\) | − | 1.00000i | − | 0.377964i | ||||||
\(8\) | −0.588415 | −0.208036 | ||||||||
\(9\) | 0.0504282 | + | 2.99958i | 0.0168094 | + | 0.999859i | ||||
\(10\) | − | 0.794699i | − | 0.251306i | ||||||
\(11\) | −3.07734 | − | 1.23694i | −0.927851 | − | 0.372950i | ||||
\(12\) | 2.09189 | + | 2.05702i | 0.603876 | + | 0.593809i | ||||
\(13\) | − | 1.35904i | − | 0.376929i | −0.982080 | − | 0.188464i | \(-0.939649\pi\) | ||
0.982080 | − | 0.188464i | \(-0.0603510\pi\) | |||||||
\(14\) | − | 1.92194i | − | 0.513659i | ||||||
\(15\) | 0.502144 | − | 0.510656i | 0.129653 | − | 0.131851i | ||||
\(16\) | −4.51858 | −1.12965 | ||||||||
\(17\) | 1.64016 | 0.397797 | 0.198899 | − | 0.980020i | \(-0.436264\pi\) | ||||
0.198899 | + | 0.980020i | \(0.436264\pi\) | |||||||
\(18\) | 0.0969199 | + | 5.76500i | 0.0228442 | + | 1.35882i | ||||
\(19\) | − | 4.21243i | − | 0.966397i | −0.875511 | − | 0.483198i | \(-0.839475\pi\) | ||
0.875511 | − | 0.483198i | \(-0.160525\pi\) | |||||||
\(20\) | − | 0.700384i | − | 0.156611i | ||||||
\(21\) | 1.21441 | − | 1.23500i | 0.265005 | − | 0.269498i | ||||
\(22\) | −5.91444 | − | 2.37731i | −1.26096 | − | 0.506845i | ||||
\(23\) | 6.16223i | 1.28491i | 0.766322 | + | 0.642457i | \(0.222085\pi\) | ||||
−0.766322 | + | 0.642457i | \(0.777915\pi\) | |||||||
\(24\) | −0.726690 | − | 0.714576i | −0.148335 | − | 0.145862i | ||||
\(25\) | 4.82903 | 0.965805 | ||||||||
\(26\) | − | 2.61198i | − | 0.512252i | ||||||
\(27\) | −3.58043 | + | 3.76570i | −0.689054 | + | 0.724710i | ||||
\(28\) | − | 1.69384i | − | 0.320106i | ||||||
\(29\) | −2.73184 | −0.507290 | −0.253645 | − | 0.967297i | \(-0.581630\pi\) | ||||
−0.253645 | + | 0.967297i | \(0.581630\pi\) | |||||||
\(30\) | 0.965088 | − | 0.981450i | 0.176200 | − | 0.179187i | ||||
\(31\) | 4.56717 | 0.820289 | 0.410144 | − | 0.912021i | \(-0.365478\pi\) | ||||
0.410144 | + | 0.912021i | \(0.365478\pi\) | |||||||
\(32\) | −7.50760 | −1.32717 | ||||||||
\(33\) | −2.29835 | − | 5.26475i | −0.400092 | − | 0.916475i | ||||
\(34\) | 3.15228 | 0.540612 | ||||||||
\(35\) | −0.413489 | −0.0698923 | ||||||||
\(36\) | 0.0854175 | + | 5.08081i | 0.0142362 | + | 0.846802i | ||||
\(37\) | −6.41046 | −1.05387 | −0.526937 | − | 0.849904i | \(-0.676660\pi\) | ||||
−0.526937 | + | 0.849904i | \(0.676660\pi\) | |||||||
\(38\) | − | 8.09602i | − | 1.31335i | ||||||
\(39\) | 1.65042 | − | 1.67840i | 0.264279 | − | 0.268760i | ||||
\(40\) | 0.243303i | 0.0384696i | ||||||||
\(41\) | 3.57034 | 0.557593 | 0.278796 | − | 0.960350i | \(-0.410065\pi\) | ||||
0.278796 | + | 0.960350i | \(0.410065\pi\) | |||||||
\(42\) | 2.33402 | − | 2.37358i | 0.360146 | − | 0.366252i | ||||
\(43\) | 1.20233i | 0.183353i | 0.995789 | + | 0.0916765i | \(0.0292226\pi\) | ||||
−0.995789 | + | 0.0916765i | \(0.970777\pi\) | |||||||
\(44\) | −5.21252 | − | 2.09517i | −0.785817 | − | 0.315859i | ||||
\(45\) | 1.24029 | − | 0.0208515i | 0.184892 | − | 0.00310836i | ||||
\(46\) | 11.8434i | 1.74622i | ||||||||
\(47\) | − | 8.33307i | − | 1.21550i | −0.794127 | − | 0.607752i | \(-0.792072\pi\) | ||
0.794127 | − | 0.607752i | \(-0.207928\pi\) | |||||||
\(48\) | −5.58043 | − | 5.48740i | −0.805466 | − | 0.792038i | ||||
\(49\) | −1.00000 | −0.142857 | ||||||||
\(50\) | 9.28109 | 1.31254 | ||||||||
\(51\) | 2.02559 | + | 1.99182i | 0.283639 | + | 0.278911i | ||||
\(52\) | − | 2.30199i | − | 0.319229i | ||||||
\(53\) | 5.91727i | 0.812799i | 0.913696 | + | 0.406399i | \(0.133216\pi\) | ||||
−0.913696 | + | 0.406399i | \(0.866784\pi\) | |||||||
\(54\) | −6.88136 | + | 7.23745i | −0.936435 | + | 0.984892i | ||||
\(55\) | −0.511459 | + | 1.27244i | −0.0689651 | + | 0.171576i | ||||
\(56\) | 0.588415i | 0.0786303i | ||||||||
\(57\) | 5.11560 | − | 5.20233i | 0.677578 | − | 0.689065i | ||||
\(58\) | −5.25043 | −0.689415 | ||||||||
\(59\) | − | 10.3712i | − | 1.35021i | −0.737722 | − | 0.675105i | \(-0.764098\pi\) | ||
0.737722 | − | 0.675105i | \(-0.235902\pi\) | |||||||
\(60\) | 0.850552 | − | 0.864972i | 0.109806 | − | 0.111667i | ||||
\(61\) | 15.5857i | 1.99555i | 0.0667043 | + | 0.997773i | \(0.478752\pi\) | ||||
−0.0667043 | + | 0.997773i | \(0.521248\pi\) | |||||||
\(62\) | 8.77782 | 1.11478 | ||||||||
\(63\) | 2.99958 | − | 0.0504282i | 0.377911 | − | 0.00635336i | ||||
\(64\) | −5.39197 | −0.673997 | ||||||||
\(65\) | −0.561946 | −0.0697008 | ||||||||
\(66\) | −4.41729 | − | 10.1185i | −0.543731 | − | 1.24550i | ||||
\(67\) | 6.12792 | 0.748645 | 0.374322 | − | 0.927299i | \(-0.377875\pi\) | ||||
0.374322 | + | 0.927299i | \(0.377875\pi\) | |||||||
\(68\) | 2.77817 | 0.336903 | ||||||||
\(69\) | −7.48346 | + | 7.61032i | −0.900902 | + | 0.916175i | ||||
\(70\) | −0.794699 | −0.0949847 | ||||||||
\(71\) | − | 8.31333i | − | 0.986611i | −0.869856 | − | 0.493305i | \(-0.835789\pi\) | ||
0.869856 | − | 0.493305i | \(-0.164211\pi\) | |||||||
\(72\) | −0.0296727 | − | 1.76500i | −0.00349697 | − | 0.208007i | ||||
\(73\) | 0.290444i | 0.0339939i | 0.999856 | + | 0.0169969i | \(0.00541056\pi\) | ||||
−0.999856 | + | 0.0169969i | \(0.994589\pi\) | |||||||
\(74\) | −12.3205 | −1.43223 | ||||||||
\(75\) | 5.96383 | + | 5.86441i | 0.688643 | + | 0.677163i | ||||
\(76\) | − | 7.13518i | − | 0.818462i | ||||||
\(77\) | −1.23694 | + | 3.07734i | −0.140962 | + | 0.350695i | ||||
\(78\) | 3.17201 | − | 3.22579i | 0.359159 | − | 0.365248i | ||||
\(79\) | 16.6717i | 1.87571i | 0.347025 | + | 0.937856i | \(0.387192\pi\) | ||||
−0.347025 | + | 0.937856i | \(0.612808\pi\) | |||||||
\(80\) | 1.86838i | 0.208891i | ||||||||
\(81\) | −8.99491 | + | 0.302527i | −0.999435 | + | 0.0336141i | ||||
\(82\) | 6.86196 | 0.757777 | ||||||||
\(83\) | −3.53351 | −0.387853 | −0.193926 | − | 0.981016i | \(-0.562122\pi\) | ||||
−0.193926 | + | 0.981016i | \(0.562122\pi\) | |||||||
\(84\) | 2.05702 | − | 2.09189i | 0.224439 | − | 0.228244i | ||||
\(85\) | − | 0.678187i | − | 0.0735597i | ||||||
\(86\) | 2.31080i | 0.249180i | ||||||||
\(87\) | −3.37381 | − | 3.31757i | −0.361711 | − | 0.355681i | ||||
\(88\) | 1.81075 | + | 0.727832i | 0.193027 | + | 0.0775871i | ||||
\(89\) | 9.17912i | 0.972985i | 0.873685 | + | 0.486493i | \(0.161724\pi\) | ||||
−0.873685 | + | 0.486493i | \(0.838276\pi\) | |||||||
\(90\) | 2.38376 | − | 0.0400752i | 0.251270 | − | 0.00422430i | ||||
\(91\) | −1.35904 | −0.142466 | ||||||||
\(92\) | 10.4378i | 1.08822i | ||||||||
\(93\) | 5.64044 | + | 5.54641i | 0.584886 | + | 0.575136i | ||||
\(94\) | − | 16.0156i | − | 1.65189i | ||||||
\(95\) | −1.74179 | −0.178704 | ||||||||
\(96\) | −9.27185 | − | 9.11729i | −0.946305 | − | 0.930529i | ||||
\(97\) | 12.9612 | 1.31601 | 0.658007 | − | 0.753012i | \(-0.271400\pi\) | ||||
0.658007 | + | 0.753012i | \(0.271400\pi\) | |||||||
\(98\) | −1.92194 | −0.194145 | ||||||||
\(99\) | 3.55510 | − | 9.29308i | 0.357301 | − | 0.933989i | ||||
\(100\) | 8.17961 | 0.817961 | ||||||||
\(101\) | 12.6217 | 1.25591 | 0.627953 | − | 0.778251i | \(-0.283893\pi\) | ||||
0.627953 | + | 0.778251i | \(0.283893\pi\) | |||||||
\(102\) | 3.89306 | + | 3.82816i | 0.385470 | + | 0.379044i | ||||
\(103\) | −12.8103 | −1.26224 | −0.631120 | − | 0.775685i | \(-0.717405\pi\) | ||||
−0.631120 | + | 0.775685i | \(0.717405\pi\) | |||||||
\(104\) | 0.799678i | 0.0784149i | ||||||||
\(105\) | −0.510656 | − | 0.502144i | −0.0498350 | − | 0.0490042i | ||||
\(106\) | 11.3726i | 1.10461i | ||||||||
\(107\) | −5.35301 | −0.517495 | −0.258747 | − | 0.965945i | \(-0.583310\pi\) | ||||
−0.258747 | + | 0.965945i | \(0.583310\pi\) | |||||||
\(108\) | −6.06468 | + | 6.37851i | −0.583574 | + | 0.613772i | ||||
\(109\) | − | 11.9771i | − | 1.14720i | −0.819135 | − | 0.573601i | \(-0.805546\pi\) | ||
0.819135 | − | 0.573601i | \(-0.194454\pi\) | |||||||
\(110\) | −0.982991 | + | 2.44555i | −0.0937245 | + | 0.233175i | ||||
\(111\) | −7.91690 | − | 7.78492i | −0.751438 | − | 0.738912i | ||||
\(112\) | 4.51858i | 0.426966i | ||||||||
\(113\) | − | 4.67841i | − | 0.440108i | −0.975488 | − | 0.220054i | \(-0.929377\pi\) | ||
0.975488 | − | 0.220054i | \(-0.0706233\pi\) | |||||||
\(114\) | 9.83186 | − | 9.99854i | 0.920838 | − | 0.936449i | ||||
\(115\) | 2.54801 | 0.237603 | ||||||||
\(116\) | −4.62731 | −0.429635 | ||||||||
\(117\) | 4.07653 | − | 0.0685338i | 0.376876 | − | 0.00633595i | ||||
\(118\) | − | 19.9327i | − | 1.83495i | ||||||
\(119\) | − | 1.64016i | − | 0.150353i | ||||||
\(120\) | −0.295469 | + | 0.300478i | −0.0269725 | + | 0.0274298i | ||||
\(121\) | 7.93998 | + | 7.61293i | 0.721817 | + | 0.692084i | ||||
\(122\) | 29.9548i | 2.71198i | ||||||||
\(123\) | 4.40935 | + | 4.33584i | 0.397578 | + | 0.390950i | ||||
\(124\) | 7.73607 | 0.694720 | ||||||||
\(125\) | − | 4.06419i | − | 0.363512i | ||||||
\(126\) | 5.76500 | − | 0.0969199i | 0.513587 | − | 0.00863431i | ||||
\(127\) | − | 7.00839i | − | 0.621894i | −0.950427 | − | 0.310947i | \(-0.899354\pi\) | ||
0.950427 | − | 0.310947i | \(-0.100646\pi\) | |||||||
\(128\) | 4.65217 | 0.411198 | ||||||||
\(129\) | −1.46011 | + | 1.48487i | −0.128556 | + | 0.130735i | ||||
\(130\) | −1.08002 | −0.0947244 | ||||||||
\(131\) | 7.89101 | 0.689441 | 0.344720 | − | 0.938705i | \(-0.387974\pi\) | ||||
0.344720 | + | 0.938705i | \(0.387974\pi\) | |||||||
\(132\) | −3.89305 | − | 8.91766i | −0.338846 | − | 0.776182i | ||||
\(133\) | −4.21243 | −0.365264 | ||||||||
\(134\) | 11.7775 | 1.01742 | ||||||||
\(135\) | 1.55708 | + | 1.48047i | 0.134012 | + | 0.127418i | ||||
\(136\) | −0.965096 | −0.0827563 | ||||||||
\(137\) | 4.27223i | 0.365002i | 0.983206 | + | 0.182501i | \(0.0584192\pi\) | ||||
−0.983206 | + | 0.182501i | \(0.941581\pi\) | |||||||
\(138\) | −14.3827 | + | 14.6266i | −1.22434 | + | 1.24510i | ||||
\(139\) | − | 9.33606i | − | 0.791874i | −0.918278 | − | 0.395937i | \(-0.870420\pi\) | ||
0.918278 | − | 0.395937i | \(-0.129580\pi\) | |||||||
\(140\) | −0.700384 | −0.0591933 | ||||||||
\(141\) | 10.1197 | − | 10.2913i | 0.852236 | − | 0.866684i | ||||
\(142\) | − | 15.9777i | − | 1.34082i | ||||||
\(143\) | −1.68104 | + | 4.18221i | −0.140576 | + | 0.349734i | ||||
\(144\) | −0.227864 | − | 13.5538i | −0.0189887 | − | 1.12949i | ||||
\(145\) | 1.12958i | 0.0938069i | ||||||||
\(146\) | 0.558215i | 0.0461982i | ||||||||
\(147\) | −1.23500 | − | 1.21441i | −0.101861 | − | 0.100163i | ||||
\(148\) | −10.8583 | −0.892548 | ||||||||
\(149\) | −14.6400 | −1.19936 | −0.599679 | − | 0.800240i | \(-0.704705\pi\) | ||||
−0.599679 | + | 0.800240i | \(0.704705\pi\) | |||||||
\(150\) | 11.4621 | + | 11.2710i | 0.935877 | + | 0.920275i | ||||
\(151\) | 17.6272i | 1.43448i | 0.696827 | + | 0.717240i | \(0.254595\pi\) | ||||
−0.696827 | + | 0.717240i | \(0.745405\pi\) | |||||||
\(152\) | 2.47866i | 0.201046i | ||||||||
\(153\) | 0.0827103 | + | 4.91978i | 0.00668673 | + | 0.397741i | ||||
\(154\) | −2.37731 | + | 5.91444i | −0.191569 | + | 0.476600i | ||||
\(155\) | − | 1.88847i | − | 0.151686i | ||||||
\(156\) | 2.79556 | − | 2.84295i | 0.223824 | − | 0.227618i | ||||
\(157\) | −4.42328 | −0.353016 | −0.176508 | − | 0.984299i | \(-0.556480\pi\) | ||||
−0.176508 | + | 0.984299i | \(0.556480\pi\) | |||||||
\(158\) | 32.0419i | 2.54912i | ||||||||
\(159\) | −7.18597 | + | 7.30780i | −0.569885 | + | 0.579546i | ||||
\(160\) | 3.10431i | 0.245417i | ||||||||
\(161\) | 6.16223 | 0.485652 | ||||||||
\(162\) | −17.2877 | + | 0.581437i | −1.35825 | + | 0.0456820i | ||||
\(163\) | −3.64734 | −0.285682 | −0.142841 | − | 0.989746i | \(-0.545624\pi\) | ||||
−0.142841 | + | 0.989746i | \(0.545624\pi\) | |||||||
\(164\) | 6.04759 | 0.472237 | ||||||||
\(165\) | −2.17691 | + | 0.950342i | −0.169472 | + | 0.0739840i | ||||
\(166\) | −6.79118 | −0.527097 | ||||||||
\(167\) | 6.34851 | 0.491262 | 0.245631 | − | 0.969363i | \(-0.421005\pi\) | ||||
0.245631 | + | 0.969363i | \(0.421005\pi\) | |||||||
\(168\) | −0.714576 | + | 0.726690i | −0.0551308 | + | 0.0560654i | ||||
\(169\) | 11.1530 | 0.857925 | ||||||||
\(170\) | − | 1.30343i | − | 0.0999688i | ||||||
\(171\) | 12.6355 | − | 0.212425i | 0.966260 | − | 0.0162446i | ||||
\(172\) | 2.03655i | 0.155286i | ||||||||
\(173\) | 14.2027 | 1.07981 | 0.539905 | − | 0.841726i | \(-0.318460\pi\) | ||||
0.539905 | + | 0.841726i | \(0.318460\pi\) | |||||||
\(174\) | −6.48425 | − | 6.37616i | −0.491570 | − | 0.483375i | ||||
\(175\) | − | 4.82903i | − | 0.365040i | ||||||
\(176\) | 13.9052 | + | 5.58919i | 1.04814 | + | 0.421301i | ||||
\(177\) | 12.5948 | − | 12.8083i | 0.946684 | − | 0.962733i | ||||
\(178\) | 17.6417i | 1.32230i | ||||||||
\(179\) | − | 25.1186i | − | 1.87746i | −0.344660 | − | 0.938728i | \(-0.612006\pi\) | ||
0.344660 | − | 0.938728i | \(-0.387994\pi\) | |||||||
\(180\) | 2.10086 | − | 0.0353191i | 0.156589 | − | 0.00263253i | ||||
\(181\) | 6.77948 | 0.503914 | 0.251957 | − | 0.967738i | \(-0.418926\pi\) | ||||
0.251957 | + | 0.967738i | \(0.418926\pi\) | |||||||
\(182\) | −2.61198 | −0.193613 | ||||||||
\(183\) | −18.9274 | + | 19.2483i | −1.39915 | + | 1.42287i | ||||
\(184\) | − | 3.62595i | − | 0.267309i | ||||||
\(185\) | 2.65065i | 0.194880i | ||||||||
\(186\) | 10.8406 | + | 10.6599i | 0.794869 | + | 0.781618i | ||||
\(187\) | −5.04732 | − | 2.02877i | −0.369097 | − | 0.148358i | ||||
\(188\) | − | 14.1149i | − | 1.02944i | ||||||
\(189\) | 3.76570 | + | 3.58043i | 0.273915 | + | 0.260438i | ||||
\(190\) | −3.34761 | −0.242861 | ||||||||
\(191\) | − | 11.1330i | − | 0.805556i | −0.915298 | − | 0.402778i | \(-0.868045\pi\) | ||
0.915298 | − | 0.402778i | \(-0.131955\pi\) | |||||||
\(192\) | −6.65906 | − | 6.54805i | −0.480576 | − | 0.472565i | ||||
\(193\) | − | 21.6435i | − | 1.55794i | −0.627064 | − | 0.778968i | \(-0.715744\pi\) | ||
0.627064 | − | 0.778968i | \(-0.284256\pi\) | |||||||
\(194\) | 24.9107 | 1.78848 | ||||||||
\(195\) | −0.694001 | − | 0.682431i | −0.0496984 | − | 0.0488699i | ||||
\(196\) | −1.69384 | −0.120989 | ||||||||
\(197\) | −10.0414 | −0.715421 | −0.357710 | − | 0.933833i | \(-0.616443\pi\) | ||||
−0.357710 | + | 0.933833i | \(0.616443\pi\) | |||||||
\(198\) | 6.83267 | − | 17.8607i | 0.485577 | − | 1.26931i | ||||
\(199\) | −19.8549 | −1.40747 | −0.703737 | − | 0.710461i | \(-0.748486\pi\) | ||||
−0.703737 | + | 0.710461i | \(0.748486\pi\) | |||||||
\(200\) | −2.84147 | −0.200923 | ||||||||
\(201\) | 7.56796 | + | 7.44180i | 0.533803 | + | 0.524904i | ||||
\(202\) | 24.2581 | 1.70679 | ||||||||
\(203\) | 2.73184i | 0.191738i | ||||||||
\(204\) | 3.43103 | + | 3.37383i | 0.240220 | + | 0.236216i | ||||
\(205\) | − | 1.47629i | − | 0.103109i | ||||||
\(206\) | −24.6207 | −1.71540 | ||||||||
\(207\) | −18.4841 | + | 0.310750i | −1.28473 | + | 0.0215986i | ||||
\(208\) | 6.14092i | 0.425796i | ||||||||
\(209\) | −5.21050 | + | 12.9630i | −0.360418 | + | 0.896672i | ||||
\(210\) | −0.981450 | − | 0.965088i | −0.0677265 | − | 0.0665974i | ||||
\(211\) | − | 1.16287i | − | 0.0800555i | −0.999199 | − | 0.0400278i | \(-0.987255\pi\) | ||
0.999199 | − | 0.0400278i | \(-0.0127446\pi\) | |||||||
\(212\) | 10.0229i | 0.688377i | ||||||||
\(213\) | 10.0958 | − | 10.2669i | 0.691751 | − | 0.703478i | ||||
\(214\) | −10.2881 | −0.703283 | ||||||||
\(215\) | 0.497148 | 0.0339052 | ||||||||
\(216\) | 2.10678 | − | 2.21580i | 0.143348 | − | 0.150766i | ||||
\(217\) | − | 4.56717i | − | 0.310040i | ||||||
\(218\) | − | 23.0193i | − | 1.55907i | ||||||
\(219\) | −0.352717 | + | 0.358697i | −0.0238344 | + | 0.0242385i | ||||
\(220\) | −0.866330 | + | 2.15532i | −0.0584080 | + | 0.145311i | ||||
\(221\) | − | 2.22904i | − | 0.149941i | ||||||
\(222\) | −15.2158 | − | 14.9621i | −1.02122 | − | 1.00419i | ||||
\(223\) | −12.4329 | −0.832568 | −0.416284 | − | 0.909235i | \(-0.636668\pi\) | ||||
−0.416284 | + | 0.909235i | \(0.636668\pi\) | |||||||
\(224\) | 7.50760i | 0.501623i | ||||||||
\(225\) | 0.243519 | + | 14.4850i | 0.0162346 | + | 0.965669i | ||||
\(226\) | − | 8.99161i | − | 0.598113i | ||||||
\(227\) | −27.4133 | −1.81948 | −0.909742 | − | 0.415174i | \(-0.863721\pi\) | ||||
−0.909742 | + | 0.415174i | \(0.863721\pi\) | |||||||
\(228\) | 8.66502 | − | 8.81192i | 0.573855 | − | 0.583584i | ||||
\(229\) | −27.2215 | −1.79885 | −0.899423 | − | 0.437080i | \(-0.856013\pi\) | ||||
−0.899423 | + | 0.437080i | \(0.856013\pi\) | |||||||
\(230\) | 4.89712 | 0.322906 | ||||||||
\(231\) | −5.26475 | + | 2.29835i | −0.346395 | + | 0.151220i | ||||
\(232\) | 1.60746 | 0.105535 | ||||||||
\(233\) | −10.8221 | −0.708982 | −0.354491 | − | 0.935059i | \(-0.615346\pi\) | ||||
−0.354491 | + | 0.935059i | \(0.615346\pi\) | |||||||
\(234\) | 7.83484 | − | 0.131718i | 0.512179 | − | 0.00861065i | ||||
\(235\) | −3.44563 | −0.224768 | ||||||||
\(236\) | − | 17.5671i | − | 1.14352i | ||||||
\(237\) | −20.2462 | + | 20.5895i | −1.31513 | + | 1.33743i | ||||
\(238\) | − | 3.15228i | − | 0.204332i | ||||||
\(239\) | −19.9099 | −1.28786 | −0.643931 | − | 0.765083i | \(-0.722698\pi\) | ||||
−0.643931 | + | 0.765083i | \(0.722698\pi\) | |||||||
\(240\) | −2.26898 | + | 2.30744i | −0.146462 | + | 0.148945i | ||||
\(241\) | − | 7.69265i | − | 0.495527i | −0.968821 | − | 0.247764i | \(-0.920304\pi\) | ||
0.968821 | − | 0.247764i | \(-0.0796956\pi\) | |||||||
\(242\) | 15.2601 | + | 14.6316i | 0.980959 | + | 0.940553i | ||||
\(243\) | −11.4761 | − | 10.5499i | −0.736190 | − | 0.676775i | ||||
\(244\) | 26.3997i | 1.69007i | ||||||||
\(245\) | 0.413489i | 0.0264168i | ||||||||
\(246\) | 8.47449 | + | 8.33322i | 0.540314 | + | 0.531307i | ||||
\(247\) | −5.72484 | −0.364263 | ||||||||
\(248\) | −2.68740 | −0.170650 | ||||||||
\(249\) | −4.36386 | − | 4.29112i | −0.276549 | − | 0.271938i | ||||
\(250\) | − | 7.81112i | − | 0.494018i | ||||||
\(251\) | − | 9.61917i | − | 0.607157i | −0.952806 | − | 0.303578i | \(-0.901819\pi\) | ||
0.952806 | − | 0.303578i | \(-0.0981814\pi\) | |||||||
\(252\) | 5.08081 | − | 0.0854175i | 0.320061 | − | 0.00538079i | ||||
\(253\) | 7.62228 | − | 18.9632i | 0.479208 | − | 1.19221i | ||||
\(254\) | − | 13.4697i | − | 0.845164i | ||||||
\(255\) | 0.823596 | − | 0.837558i | 0.0515756 | − | 0.0524499i | ||||
\(256\) | 19.7251 | 1.23282 | ||||||||
\(257\) | 12.9172i | 0.805751i | 0.915255 | + | 0.402875i | \(0.131989\pi\) | ||||
−0.915255 | + | 0.402875i | \(0.868011\pi\) | |||||||
\(258\) | −2.80625 | + | 2.85382i | −0.174709 | + | 0.177671i | ||||
\(259\) | 6.41046i | 0.398327i | ||||||||
\(260\) | −0.951848 | −0.0590311 | ||||||||
\(261\) | −0.137762 | − | 8.19437i | −0.00852725 | − | 0.507218i | ||||
\(262\) | 15.1660 | 0.936960 | ||||||||
\(263\) | −1.86943 | −0.115274 | −0.0576369 | − | 0.998338i | \(-0.518357\pi\) | ||||
−0.0576369 | + | 0.998338i | \(0.518357\pi\) | |||||||
\(264\) | 1.35239 | + | 3.09786i | 0.0832336 | + | 0.190660i | ||||
\(265\) | 2.44672 | 0.150301 | ||||||||
\(266\) | −8.09602 | −0.496399 | ||||||||
\(267\) | −11.1472 | + | 11.3362i | −0.682197 | + | 0.693763i | ||||
\(268\) | 10.3797 | 0.634043 | ||||||||
\(269\) | − | 12.9253i | − | 0.788071i | −0.919095 | − | 0.394036i | \(-0.871079\pi\) | ||
0.919095 | − | 0.394036i | \(-0.128921\pi\) | |||||||
\(270\) | 2.99260 | + | 2.84536i | 0.182124 | + | 0.173163i | ||||
\(271\) | − | 20.2282i | − | 1.22878i | −0.789003 | − | 0.614389i | \(-0.789403\pi\) | ||
0.789003 | − | 0.614389i | \(-0.210597\pi\) | |||||||
\(272\) | −7.41120 | −0.449370 | ||||||||
\(273\) | −1.67840 | − | 1.65042i | −0.101582 | − | 0.0998882i | ||||
\(274\) | 8.21097i | 0.496043i | ||||||||
\(275\) | −14.8605 | − | 5.97319i | −0.896124 | − | 0.360197i | ||||
\(276\) | −12.6758 | + | 12.8907i | −0.762993 | + | 0.775928i | ||||
\(277\) | − | 7.26198i | − | 0.436330i | −0.975912 | − | 0.218165i | \(-0.929993\pi\) | ||
0.975912 | − | 0.218165i | \(-0.0700071\pi\) | |||||||
\(278\) | − | 17.9433i | − | 1.07617i | ||||||
\(279\) | 0.230314 | + | 13.6996i | 0.0137886 | + | 0.820173i | ||||
\(280\) | 0.243303 | 0.0145401 | ||||||||
\(281\) | 25.5479 | 1.52406 | 0.762030 | − | 0.647541i | \(-0.224203\pi\) | ||||
0.762030 | + | 0.647541i | \(0.224203\pi\) | |||||||
\(282\) | 19.4495 | − | 19.7792i | 1.15820 | − | 1.17784i | ||||
\(283\) | 19.3170i | 1.14828i | 0.818758 | + | 0.574139i | \(0.194663\pi\) | ||||
−0.818758 | + | 0.574139i | \(0.805337\pi\) | |||||||
\(284\) | − | 14.0815i | − | 0.835582i | ||||||
\(285\) | −2.15110 | − | 2.11524i | −0.127420 | − | 0.125296i | ||||
\(286\) | −3.23085 | + | 8.03794i | −0.191044 | + | 0.475294i | ||||
\(287\) | − | 3.57034i | − | 0.210750i | ||||||
\(288\) | −0.378595 | − | 22.5196i | −0.0223089 | − | 1.32698i | ||||
\(289\) | −14.3099 | −0.841757 | ||||||||
\(290\) | 2.17099i | 0.127485i | ||||||||
\(291\) | 16.0071 | + | 15.7402i | 0.938351 | + | 0.922708i | ||||
\(292\) | 0.491966i | 0.0287902i | ||||||||
\(293\) | 19.4631 | 1.13705 | 0.568523 | − | 0.822667i | \(-0.307515\pi\) | ||||
0.568523 | + | 0.822667i | \(0.307515\pi\) | |||||||
\(294\) | −2.37358 | − | 2.33402i | −0.138430 | − | 0.136123i | ||||
\(295\) | −4.28835 | −0.249678 | ||||||||
\(296\) | 3.77202 | 0.219244 | ||||||||
\(297\) | 15.6761 | − | 7.15957i | 0.909620 | − | 0.415441i | ||||
\(298\) | −28.1372 | −1.62995 | ||||||||
\(299\) | 8.37469 | 0.484321 | ||||||||
\(300\) | 10.1018 | + | 9.93338i | 0.583227 | + | 0.573504i | ||||
\(301\) | 1.20233 | 0.0693009 | ||||||||
\(302\) | 33.8783i | 1.94948i | ||||||||
\(303\) | 15.5877 | + | 15.3279i | 0.895492 | + | 0.880564i | ||||
\(304\) | 19.0342i | 1.09169i | ||||||||
\(305\) | 6.44451 | 0.369012 | ||||||||
\(306\) | 0.158964 | + | 9.45552i | 0.00908737 | + | 0.540536i | ||||
\(307\) | 8.73827i | 0.498719i | 0.968411 | + | 0.249360i | \(0.0802201\pi\) | ||||
−0.968411 | + | 0.249360i | \(0.919780\pi\) | |||||||
\(308\) | −2.09517 | + | 5.21252i | −0.119384 | + | 0.297011i | ||||
\(309\) | −15.8207 | − | 15.5570i | −0.900009 | − | 0.885005i | ||||
\(310\) | − | 3.62953i | − | 0.206143i | ||||||
\(311\) | − | 10.6726i | − | 0.605185i | −0.953120 | − | 0.302593i | \(-0.902148\pi\) | ||
0.953120 | − | 0.302593i | \(-0.0978522\pi\) | |||||||
\(312\) | −0.971135 | + | 0.987599i | −0.0549797 | + | 0.0559118i | ||||
\(313\) | 26.7253 | 1.51060 | 0.755302 | − | 0.655377i | \(-0.227490\pi\) | ||||
0.755302 | + | 0.655377i | \(0.227490\pi\) | |||||||
\(314\) | −8.50127 | −0.479754 | ||||||||
\(315\) | −0.0208515 | − | 1.24029i | −0.00117485 | − | 0.0698824i | ||||
\(316\) | 28.2392i | 1.58858i | ||||||||
\(317\) | 16.7346i | 0.939907i | 0.882691 | + | 0.469953i | \(0.155729\pi\) | ||||
−0.882691 | + | 0.469953i | \(0.844271\pi\) | |||||||
\(318\) | −13.8110 | + | 14.0451i | −0.774482 | + | 0.787612i | ||||
\(319\) | 8.40679 | + | 3.37911i | 0.470690 | + | 0.189194i | ||||
\(320\) | 2.22952i | 0.124634i | ||||||||
\(321\) | −6.61094 | − | 6.50073i | −0.368987 | − | 0.362835i | ||||
\(322\) | 11.8434 | 0.660008 | ||||||||
\(323\) | − | 6.90905i | − | 0.384430i | ||||||
\(324\) | −15.2360 | + | 0.512432i | −0.846443 | + | 0.0284685i | ||||
\(325\) | − | 6.56282i | − | 0.364040i | ||||||
\(326\) | −7.00996 | −0.388246 | ||||||||
\(327\) | 14.5451 | − | 14.7917i | 0.804348 | − | 0.817984i | ||||
\(328\) | −2.10084 | −0.116000 | ||||||||
\(329\) | −8.33307 | −0.459417 | ||||||||
\(330\) | −4.18389 | + | 1.82650i | −0.230316 | + | 0.100545i | ||||
\(331\) | −0.0281857 | −0.00154923 | −0.000774613 | − | 1.00000i | \(-0.500247\pi\) | ||||
−0.000774613 | 1.00000i | \(0.500247\pi\) | ||||||||
\(332\) | −5.98520 | −0.328481 | ||||||||
\(333\) | −0.323268 | − | 19.2287i | −0.0177150 | − | 1.05372i | ||||
\(334\) | 12.2014 | 0.667633 | ||||||||
\(335\) | − | 2.53383i | − | 0.138438i | ||||||
\(336\) | −5.48740 | + | 5.58043i | −0.299362 | + | 0.304437i | ||||
\(337\) | 28.5132i | 1.55321i | 0.629987 | + | 0.776606i | \(0.283060\pi\) | ||||
−0.629987 | + | 0.776606i | \(0.716940\pi\) | |||||||
\(338\) | 21.4354 | 1.16593 | ||||||||
\(339\) | 5.68149 | − | 5.77781i | 0.308576 | − | 0.313808i | ||||
\(340\) | − | 1.14874i | − | 0.0622993i | ||||||
\(341\) | −14.0547 | − | 5.64930i | −0.761106 | − | 0.305927i | ||||
\(342\) | 24.2846 | − | 0.408268i | 1.31316 | − | 0.0220766i | ||||
\(343\) | 1.00000i | 0.0539949i | ||||||||
\(344\) | − | 0.707467i | − | 0.0381441i | ||||||
\(345\) | 3.14678 | + | 3.09432i | 0.169417 | + | 0.166593i | ||||
\(346\) | 27.2967 | 1.46748 | ||||||||
\(347\) | 32.0737 | 1.72181 | 0.860903 | − | 0.508769i | \(-0.169899\pi\) | ||||
0.860903 | + | 0.508769i | \(0.169899\pi\) | |||||||
\(348\) | −5.71471 | − | 5.61944i | −0.306340 | − | 0.301234i | ||||
\(349\) | 24.5954i | 1.31656i | 0.752773 | + | 0.658280i | \(0.228716\pi\) | ||||
−0.752773 | + | 0.658280i | \(0.771284\pi\) | |||||||
\(350\) | − | 9.28109i | − | 0.496095i | ||||||
\(351\) | 5.11773 | + | 4.86593i | 0.273164 | + | 0.259724i | ||||
\(352\) | 23.1034 | + | 9.28642i | 1.23142 | + | 0.494968i | ||||
\(353\) | 21.2100i | 1.12889i | 0.825470 | + | 0.564446i | \(0.190910\pi\) | ||||
−0.825470 | + | 0.564446i | \(0.809090\pi\) | |||||||
\(354\) | 24.2064 | − | 24.6168i | 1.28656 | − | 1.30837i | ||||
\(355\) | −3.43747 | −0.182442 | ||||||||
\(356\) | 15.5480i | 0.824042i | ||||||||
\(357\) | 1.99182 | − | 2.02559i | 0.105418 | − | 0.107206i | ||||
\(358\) | − | 48.2764i | − | 2.55149i | ||||||
\(359\) | −12.0531 | −0.636141 | −0.318070 | − | 0.948067i | \(-0.603035\pi\) | ||||
−0.318070 | + | 0.948067i | \(0.603035\pi\) | |||||||
\(360\) | −0.729806 | + | 0.0122693i | −0.0384642 | + | 0.000646651i | ||||
\(361\) | 1.25547 | 0.0660776 | ||||||||
\(362\) | 13.0297 | 0.684827 | ||||||||
\(363\) | 0.560645 | + | 19.0443i | 0.0294262 | + | 0.999567i | ||||
\(364\) | −2.30199 | −0.120657 | ||||||||
\(365\) | 0.120095 | 0.00628607 | ||||||||
\(366\) | −36.3773 | + | 36.9940i | −1.90147 | + | 1.93371i | ||||
\(367\) | −13.3568 | −0.697219 | −0.348609 | − | 0.937268i | \(-0.613346\pi\) | ||||
−0.348609 | + | 0.937268i | \(0.613346\pi\) | |||||||
\(368\) | − | 27.8445i | − | 1.45150i | ||||||
\(369\) | 0.180046 | + | 10.7095i | 0.00937281 | + | 0.557514i | ||||
\(370\) | 5.09439i | 0.264845i | ||||||||
\(371\) | 5.91727 | 0.307209 | ||||||||
\(372\) | 9.55402 | + | 9.39475i | 0.495353 | + | 0.487095i | ||||
\(373\) | − | 1.91862i | − | 0.0993425i | −0.998766 | − | 0.0496713i | \(-0.984183\pi\) | ||
0.998766 | − | 0.0496713i | \(-0.0158174\pi\) | |||||||
\(374\) | −9.70064 | − | 3.89917i | −0.501608 | − | 0.201621i | ||||
\(375\) | 4.93558 | − | 5.01926i | 0.254872 | − | 0.259193i | ||||
\(376\) | 4.90331i | 0.252869i | ||||||||
\(377\) | 3.71267i | 0.191212i | ||||||||
\(378\) | 7.23745 | + | 6.88136i | 0.372254 | + | 0.353939i | ||||
\(379\) | 23.5384 | 1.20909 | 0.604544 | − | 0.796572i | \(-0.293355\pi\) | ||||
0.604544 | + | 0.796572i | \(0.293355\pi\) | |||||||
\(380\) | −2.95032 | −0.151348 | ||||||||
\(381\) | 8.51105 | − | 8.65533i | 0.436034 | − | 0.443426i | ||||
\(382\) | − | 21.3969i | − | 1.09476i | ||||||
\(383\) | − | 10.1166i | − | 0.516932i | −0.966020 | − | 0.258466i | \(-0.916783\pi\) | ||
0.966020 | − | 0.258466i | \(-0.0832170\pi\) | |||||||
\(384\) | 5.74541 | + | 5.64963i | 0.293194 | + | 0.288307i | ||||
\(385\) | 1.27244 | + | 0.511459i | 0.0648497 | + | 0.0260663i | ||||
\(386\) | − | 41.5975i | − | 2.11726i | ||||||
\(387\) | −3.60647 | + | 0.0606312i | −0.183327 | + | 0.00308206i | ||||
\(388\) | 21.9543 | 1.11456 | ||||||||
\(389\) | − | 5.43831i | − | 0.275733i | −0.990451 | − | 0.137867i | \(-0.955975\pi\) | ||
0.990451 | − | 0.137867i | \(-0.0440246\pi\) | |||||||
\(390\) | −1.33383 | − | 1.31159i | −0.0675409 | − | 0.0664149i | ||||
\(391\) | 10.1070i | 0.511135i | ||||||||
\(392\) | 0.588415 | 0.0297195 | ||||||||
\(393\) | 9.74536 | + | 9.58290i | 0.491588 | + | 0.483393i | ||||
\(394\) | −19.2990 | −0.972268 | ||||||||
\(395\) | 6.89355 | 0.346852 | ||||||||
\(396\) | 6.02177 | − | 15.7410i | 0.302606 | − | 0.791015i | ||||
\(397\) | 25.7021 | 1.28995 | 0.644975 | − | 0.764204i | \(-0.276868\pi\) | ||||
0.644975 | + | 0.764204i | \(0.276868\pi\) | |||||||
\(398\) | −38.1598 | −1.91278 | ||||||||
\(399\) | −5.20233 | − | 5.11560i | −0.260442 | − | 0.256100i | ||||
\(400\) | −21.8204 | −1.09102 | ||||||||
\(401\) | 35.2490i | 1.76025i | 0.474741 | + | 0.880125i | \(0.342542\pi\) | ||||
−0.474741 | + | 0.880125i | \(0.657458\pi\) | |||||||
\(402\) | 14.5451 | + | 14.3027i | 0.725446 | + | 0.713352i | ||||
\(403\) | − | 6.20695i | − | 0.309190i | ||||||
\(404\) | 21.3792 | 1.06365 | ||||||||
\(405\) | 0.125091 | + | 3.71929i | 0.00621583 | + | 0.184813i | ||||
\(406\) | 5.25043i | 0.260574i | ||||||||
\(407\) | 19.7271 | + | 7.92933i | 0.977838 | + | 0.393042i | ||||
\(408\) | −1.19189 | − | 1.17202i | −0.0590073 | − | 0.0580236i | ||||
\(409\) | − | 29.2925i | − | 1.44842i | −0.689579 | − | 0.724210i | \(-0.742205\pi\) | ||
0.689579 | − | 0.724210i | \(-0.257795\pi\) | |||||||
\(410\) | − | 2.83734i | − | 0.140126i | ||||||
\(411\) | −5.18823 | + | 5.27619i | −0.255917 | + | 0.260255i | ||||
\(412\) | −21.6987 | −1.06902 | ||||||||
\(413\) | −10.3712 | −0.510331 | ||||||||
\(414\) | −35.5252 | + | 0.597242i | −1.74597 | + | 0.0293529i | ||||
\(415\) | 1.46106i | 0.0717208i | ||||||||
\(416\) | 10.2031i | 0.500248i | ||||||||
\(417\) | 11.3378 | − | 11.5300i | 0.555214 | − | 0.564626i | ||||
\(418\) | −10.0142 | + | 24.9142i | −0.489813 | + | 1.21859i | ||||
\(419\) | 7.55837i | 0.369250i | 0.982809 | + | 0.184625i | \(0.0591071\pi\) | ||||
−0.982809 | + | 0.184625i | \(0.940893\pi\) | |||||||
\(420\) | −0.864972 | − | 0.850552i | −0.0422063 | − | 0.0415027i | ||||
\(421\) | −2.30918 | −0.112542 | −0.0562712 | − | 0.998416i | \(-0.517921\pi\) | ||||
−0.0562712 | + | 0.998416i | \(0.517921\pi\) | |||||||
\(422\) | − | 2.23497i | − | 0.108797i | ||||||
\(423\) | 24.9957 | − | 0.420222i | 1.21533 | − | 0.0204319i | ||||
\(424\) | − | 3.48181i | − | 0.169092i | ||||||
\(425\) | 7.92038 | 0.384195 | ||||||||
\(426\) | 19.4034 | − | 19.7324i | 0.940100 | − | 0.956037i | ||||
\(427\) | 15.5857 | 0.754245 | ||||||||
\(428\) | −9.06715 | −0.438277 | ||||||||
\(429\) | −7.15498 | + | 3.12354i | −0.345446 | + | 0.150806i | ||||
\(430\) | 0.955488 | 0.0460777 | ||||||||
\(431\) | −16.2294 | −0.781745 | −0.390872 | − | 0.920445i | \(-0.627827\pi\) | ||||
−0.390872 | + | 0.920445i | \(0.627827\pi\) | |||||||
\(432\) | 16.1785 | − | 17.0156i | 0.778387 | − | 0.818666i | ||||
\(433\) | 1.66823 | 0.0801698 | 0.0400849 | − | 0.999196i | \(-0.487237\pi\) | ||||
0.0400849 | + | 0.999196i | \(0.487237\pi\) | |||||||
\(434\) | − | 8.77782i | − | 0.421349i | ||||||
\(435\) | −1.37178 | + | 1.39503i | −0.0657717 | + | 0.0668867i | ||||
\(436\) | − | 20.2874i | − | 0.971590i | ||||||
\(437\) | 25.9579 | 1.24174 | ||||||||
\(438\) | −0.677901 | + | 0.689393i | −0.0323913 | + | 0.0329405i | ||||
\(439\) | − | 34.5341i | − | 1.64822i | −0.566426 | − | 0.824112i | \(-0.691674\pi\) | ||
0.566426 | − | 0.824112i | \(-0.308326\pi\) | |||||||
\(440\) | 0.300950 | − | 0.748725i | 0.0143472 | − | 0.0356941i | ||||
\(441\) | −0.0504282 | − | 2.99958i | −0.00240134 | − | 0.142837i | ||||
\(442\) | − | 4.28407i | − | 0.203772i | ||||||
\(443\) | 23.1357i | 1.09921i | 0.835424 | + | 0.549606i | \(0.185222\pi\) | ||||
−0.835424 | + | 0.549606i | \(0.814778\pi\) | |||||||
\(444\) | −13.4100 | − | 13.1864i | −0.636409 | − | 0.625800i | ||||
\(445\) | 3.79546 | 0.179922 | ||||||||
\(446\) | −23.8952 | −1.13147 | ||||||||
\(447\) | −18.0804 | − | 17.7790i | −0.855173 | − | 0.840916i | ||||
\(448\) | 5.39197i | 0.254747i | ||||||||
\(449\) | 14.1968i | 0.669989i | 0.942220 | + | 0.334995i | \(0.108734\pi\) | ||||
−0.942220 | + | 0.334995i | \(0.891266\pi\) | |||||||
\(450\) | 0.468029 | + | 27.8393i | 0.0220631 | + | 1.31236i | ||||
\(451\) | −10.9871 | − | 4.41628i | −0.517363 | − | 0.207954i | ||||
\(452\) | − | 7.92449i | − | 0.372737i | ||||||
\(453\) | −21.4066 | + | 21.7695i | −1.00577 | + | 1.02282i | ||||
\(454\) | −52.6866 | −2.47271 | ||||||||
\(455\) | 0.561946i | 0.0263444i | ||||||||
\(456\) | −3.01010 | + | 3.06113i | −0.140961 | + | 0.143351i | ||||
\(457\) | 15.8942i | 0.743500i | 0.928333 | + | 0.371750i | \(0.121242\pi\) | ||||
−0.928333 | + | 0.371750i | \(0.878758\pi\) | |||||||
\(458\) | −52.3180 | −2.44466 | ||||||||
\(459\) | −5.87248 | + | 6.17636i | −0.274104 | + | 0.288288i | ||||
\(460\) | 4.31593 | 0.201231 | ||||||||
\(461\) | −25.5065 | −1.18795 | −0.593977 | − | 0.804482i | \(-0.702443\pi\) | ||||
−0.593977 | + | 0.804482i | \(0.702443\pi\) | |||||||
\(462\) | −10.1185 | + | 4.41729i | −0.470756 | + | 0.205511i | ||||
\(463\) | 13.2452 | 0.615558 | 0.307779 | − | 0.951458i | \(-0.400414\pi\) | ||||
0.307779 | + | 0.951458i | \(0.400414\pi\) | |||||||
\(464\) | 12.3440 | 0.573058 | ||||||||
\(465\) | 2.29338 | − | 2.33226i | 0.106353 | − | 0.108156i | ||||
\(466\) | −20.7995 | −0.963517 | ||||||||
\(467\) | − | 28.3407i | − | 1.31145i | −0.754999 | − | 0.655726i | \(-0.772363\pi\) | ||
0.754999 | − | 0.655726i | \(-0.227637\pi\) | |||||||
\(468\) | 6.90500 | − | 0.116085i | 0.319184 | − | 0.00536605i | ||||
\(469\) | − | 6.12792i | − | 0.282961i | ||||||
\(470\) | −6.62228 | −0.305463 | ||||||||
\(471\) | −5.46273 | − | 5.37167i | −0.251710 | − | 0.247513i | ||||
\(472\) | 6.10255i | 0.280892i | ||||||||
\(473\) | 1.48720 | − | 3.69996i | 0.0683815 | − | 0.170124i | ||||
\(474\) | −38.9120 | + | 39.5717i | −1.78729 | + | 1.81759i | ||||
\(475\) | − | 20.3419i | − | 0.933351i | ||||||
\(476\) | − | 2.77817i | − | 0.127337i | ||||||
\(477\) | −17.7493 | + | 0.298397i | −0.812684 | + | 0.0136627i | ||||
\(478\) | −38.2655 | −1.75022 | ||||||||
\(479\) | −1.53713 | −0.0702331 | −0.0351165 | − | 0.999383i | \(-0.511180\pi\) | ||||
−0.0351165 | + | 0.999383i | \(0.511180\pi\) | |||||||
\(480\) | −3.76989 | + | 3.83381i | −0.172071 | + | 0.174988i | ||||
\(481\) | 8.71205i | 0.397235i | ||||||||
\(482\) | − | 14.7848i | − | 0.673429i | ||||||
\(483\) | 7.61032 | + | 7.48346i | 0.346282 | + | 0.340509i | ||||
\(484\) | 13.4491 | + | 12.8951i | 0.611322 | + | 0.586141i | ||||
\(485\) | − | 5.35932i | − | 0.243354i | ||||||
\(486\) | −22.0563 | − | 20.2762i | −1.00049 | − | 0.919747i | ||||
\(487\) | −7.17846 | −0.325287 | −0.162643 | − | 0.986685i | \(-0.552002\pi\) | ||||
−0.162643 | + | 0.986685i | \(0.552002\pi\) | |||||||
\(488\) | − | 9.17087i | − | 0.415146i | ||||||
\(489\) | −4.50445 | − | 4.42936i | −0.203698 | − | 0.200303i | ||||
\(490\) | 0.794699i | 0.0359008i | ||||||||
\(491\) | −37.4970 | −1.69221 | −0.846107 | − | 0.533013i | \(-0.821060\pi\) | ||||
−0.846107 | + | 0.533013i | \(0.821060\pi\) | |||||||
\(492\) | 7.46875 | + | 7.34424i | 0.336717 | + | 0.331104i | ||||
\(493\) | −4.48066 | −0.201799 | ||||||||
\(494\) | −11.0028 | −0.495038 | ||||||||
\(495\) | −3.84258 | − | 1.46999i | −0.172711 | − | 0.0660712i | ||||
\(496\) | −20.6372 | −0.926635 | ||||||||
\(497\) | −8.31333 | −0.372904 | ||||||||
\(498\) | −8.38707 | − | 8.24726i | −0.375834 | − | 0.369568i | ||||
\(499\) | 13.2712 | 0.594100 | 0.297050 | − | 0.954862i | \(-0.403997\pi\) | ||||
0.297050 | + | 0.954862i | \(0.403997\pi\) | |||||||
\(500\) | − | 6.88410i | − | 0.307866i | ||||||
\(501\) | 7.84038 | + | 7.70968i | 0.350282 | + | 0.344443i | ||||
\(502\) | − | 18.4874i | − | 0.825135i | ||||||
\(503\) | 39.4829 | 1.76046 | 0.880228 | − | 0.474551i | \(-0.157390\pi\) | ||||
0.880228 | + | 0.474551i | \(0.157390\pi\) | |||||||
\(504\) | −1.76500 | + | 0.0296727i | −0.0786192 | + | 0.00132173i | ||||
\(505\) | − | 5.21893i | − | 0.232239i | ||||||
\(506\) | 14.6495 | − | 36.4462i | 0.651251 | − | 1.62023i | ||||
\(507\) | 13.7739 | + | 13.5443i | 0.611722 | + | 0.601524i | ||||
\(508\) | − | 11.8711i | − | 0.526696i | ||||||
\(509\) | − | 0.384496i | − | 0.0170425i | −0.999964 | − | 0.00852125i | \(-0.997288\pi\) | ||
0.999964 | − | 0.00852125i | \(-0.00271243\pi\) | |||||||
\(510\) | 1.58290 | − | 1.60973i | 0.0700920 | − | 0.0712802i | ||||
\(511\) | 0.290444 | 0.0128485 | ||||||||
\(512\) | 28.6061 | 1.26422 | ||||||||
\(513\) | 15.8627 | + | 15.0823i | 0.700357 | + | 0.665899i | ||||
\(514\) | 24.8260i | 1.09503i | ||||||||
\(515\) | 5.29693i | 0.233411i | ||||||||
\(516\) | −2.47320 | + | 2.51513i | −0.108877 | + | 0.110723i | ||||
\(517\) | −10.3075 | + | 25.6437i | −0.453322 | + | 1.12781i | ||||
\(518\) | 12.3205i | 0.541332i | ||||||||
\(519\) | 17.5403 | + | 17.2478i | 0.769932 | + | 0.757097i | ||||
\(520\) | 0.330658 | 0.0145003 | ||||||||
\(521\) | − | 21.4053i | − | 0.937783i | −0.883256 | − | 0.468892i | \(-0.844653\pi\) | ||
0.883256 | − | 0.468892i | \(-0.155347\pi\) | |||||||
\(522\) | −0.264770 | − | 15.7491i | −0.0115887 | − | 0.689317i | ||||
\(523\) | − | 38.1637i | − | 1.66878i | −0.551174 | − | 0.834390i | \(-0.685820\pi\) | ||
0.551174 | − | 0.834390i | \(-0.314180\pi\) | |||||||
\(524\) | 13.3661 | 0.583902 | ||||||||
\(525\) | 5.86441 | − | 5.96383i | 0.255944 | − | 0.260283i | ||||
\(526\) | −3.59292 | −0.156659 | ||||||||
\(527\) | 7.49090 | 0.326309 | ||||||||
\(528\) | 10.3853 | + | 23.7892i | 0.451962 | + | 1.03529i | ||||
\(529\) | −14.9730 | −0.651002 | ||||||||
\(530\) | 4.70244 | 0.204261 | ||||||||
\(531\) | 31.1091 | − | 0.522999i | 1.35002 | − | 0.0226962i | ||||
\(532\) | −7.13518 | −0.309349 | ||||||||
\(533\) | − | 4.85222i | − | 0.210173i | ||||||
\(534\) | −21.4242 | + | 21.7874i | −0.927116 | + | 0.942834i | ||||
\(535\) | 2.21341i | 0.0956939i | ||||||||
\(536\) | −3.60576 | −0.155745 | ||||||||
\(537\) | 30.5043 | − | 31.0214i | 1.31636 | − | 1.33867i | ||||
\(538\) | − | 24.8417i | − | 1.07100i | ||||||
\(539\) | 3.07734 | + | 1.23694i | 0.132550 | + | 0.0532786i | ||||
\(540\) | 2.63744 | + | 2.50768i | 0.113497 | + | 0.107913i | ||||
\(541\) | 9.20566i | 0.395782i | 0.980224 | + | 0.197891i | \(0.0634092\pi\) | ||||
−0.980224 | + | 0.197891i | \(0.936591\pi\) | |||||||
\(542\) | − | 38.8774i | − | 1.66993i | ||||||
\(543\) | 8.37262 | + | 8.23305i | 0.359304 | + | 0.353314i | ||||
\(544\) | −12.3137 | −0.527944 | ||||||||
\(545\) | −4.95241 | −0.212138 | ||||||||
\(546\) | −3.22579 | − | 3.17201i | −0.138051 | − | 0.135750i | ||||
\(547\) | 38.8699i | 1.66196i | 0.556305 | + | 0.830978i | \(0.312219\pi\) | ||||
−0.556305 | + | 0.830978i | \(0.687781\pi\) | |||||||
\(548\) | 7.23649i | 0.309128i | ||||||||
\(549\) | −46.7505 | + | 0.785959i | −1.99526 | + | 0.0335439i | ||||
\(550\) | −28.5610 | − | 11.4801i | −1.21785 | − | 0.489513i | ||||
\(551\) | 11.5077i | 0.490243i | ||||||||
\(552\) | 4.40338 | − | 4.47803i | 0.187420 | − | 0.190598i | ||||
\(553\) | 16.6717 | 0.708952 | ||||||||
\(554\) | − | 13.9571i | − | 0.592979i | ||||||
\(555\) | −3.21897 | + | 3.27355i | −0.136638 | + | 0.138954i | ||||
\(556\) | − | 15.8138i | − | 0.670655i | ||||||
\(557\) | 29.6798 | 1.25757 | 0.628787 | − | 0.777578i | \(-0.283552\pi\) | ||||
0.628787 | + | 0.777578i | \(0.283552\pi\) | |||||||
\(558\) | 0.442650 | + | 26.3297i | 0.0187389 | + | 1.11463i | ||||
\(559\) | 1.63400 | 0.0691110 | ||||||||
\(560\) | 1.86838 | 0.0789535 | ||||||||
\(561\) | −3.76966 | − | 8.63503i | −0.159155 | − | 0.364571i | ||||
\(562\) | 49.1015 | 2.07122 | ||||||||
\(563\) | 22.9672 | 0.967954 | 0.483977 | − | 0.875081i | \(-0.339192\pi\) | ||||
0.483977 | + | 0.875081i | \(0.339192\pi\) | |||||||
\(564\) | 17.1413 | − | 17.4319i | 0.721777 | − | 0.734013i | ||||
\(565\) | −1.93447 | −0.0813837 | ||||||||
\(566\) | 37.1261i | 1.56053i | ||||||||
\(567\) | 0.302527 | + | 8.99491i | 0.0127049 | + | 0.377751i | ||||
\(568\) | 4.89169i | 0.205251i | ||||||||
\(569\) | 18.5180 | 0.776314 | 0.388157 | − | 0.921593i | \(-0.373112\pi\) | ||||
0.388157 | + | 0.921593i | \(0.373112\pi\) | |||||||
\(570\) | −4.13428 | − | 4.06536i | −0.173166 | − | 0.170279i | ||||
\(571\) | 9.78122i | 0.409332i | 0.978832 | + | 0.204666i | \(0.0656107\pi\) | ||||
−0.978832 | + | 0.204666i | \(0.934389\pi\) | |||||||
\(572\) | −2.84742 | + | 7.08400i | −0.119056 | + | 0.296197i | ||||
\(573\) | 13.5200 | − | 13.7492i | 0.564806 | − | 0.574382i | ||||
\(574\) | − | 6.86196i | − | 0.286413i | ||||||
\(575\) | 29.7576i | 1.24098i | ||||||||
\(576\) | −0.271908 | − | 16.1736i | −0.0113295 | − | 0.673901i | ||||
\(577\) | −32.9536 | −1.37188 | −0.685938 | − | 0.727660i | \(-0.740608\pi\) | ||||
−0.685938 | + | 0.727660i | \(0.740608\pi\) | |||||||
\(578\) | −27.5027 | −1.14396 | ||||||||
\(579\) | 26.2841 | − | 26.7297i | 1.09233 | − | 1.11085i | ||||
\(580\) | 1.91334i | 0.0794471i | ||||||||
\(581\) | 3.53351i | 0.146595i | ||||||||
\(582\) | 30.7646 | + | 30.2517i | 1.27523 | + | 1.25397i | ||||
\(583\) | 7.31927 | − | 18.2094i | 0.303133 | − | 0.754157i | ||||
\(584\) | − | 0.170902i | − | 0.00707196i | ||||||
\(585\) | −0.0283379 | − | 1.68560i | −0.00117163 | − | 0.0696910i | ||||
\(586\) | 37.4069 | 1.54526 | ||||||||
\(587\) | − | 12.3669i | − | 0.510438i | −0.966883 | − | 0.255219i | \(-0.917852\pi\) | ||
0.966883 | − | 0.255219i | \(-0.0821476\pi\) | |||||||
\(588\) | −2.09189 | − | 2.05702i | −0.0862680 | − | 0.0848299i | ||||
\(589\) | − | 19.2389i | − | 0.792724i | ||||||
\(590\) | −8.24194 | −0.339315 | ||||||||
\(591\) | −12.4011 | − | 12.1944i | −0.510113 | − | 0.501609i | ||||
\(592\) | 28.9662 | 1.19050 | ||||||||
\(593\) | 0.769454 | 0.0315977 | 0.0157988 | − | 0.999875i | \(-0.494971\pi\) | ||||
0.0157988 | + | 0.999875i | \(0.494971\pi\) | |||||||
\(594\) | 30.1285 | − | 13.7602i | 1.23619 | − | 0.564590i | ||||
\(595\) | −0.678187 | −0.0278030 | ||||||||
\(596\) | −24.7979 | −1.01576 | ||||||||
\(597\) | −24.5207 | − | 24.1119i | −1.00356 | − | 0.986834i | ||||
\(598\) | 16.0956 | 0.658199 | ||||||||
\(599\) | 23.1559i | 0.946123i | 0.881029 | + | 0.473062i | \(0.156851\pi\) | ||||
−0.881029 | + | 0.473062i | \(0.843149\pi\) | |||||||
\(600\) | −3.50921 | − | 3.45071i | −0.143263 | − | 0.140875i | ||||
\(601\) | − | 37.3517i | − | 1.52361i | −0.647809 | − | 0.761803i | \(-0.724314\pi\) | ||
0.647809 | − | 0.761803i | \(-0.275686\pi\) | |||||||
\(602\) | 2.31080 | 0.0941810 | ||||||||
\(603\) | 0.309020 | + | 18.3812i | 0.0125843 | + | 0.748539i | ||||
\(604\) | 29.8577i | 1.21489i | ||||||||
\(605\) | 3.14786 | − | 3.28309i | 0.127979 | − | 0.133477i | ||||
\(606\) | 29.9587 | + | 29.4592i | 1.21699 | + | 1.19670i | ||||
\(607\) | 34.6424i | 1.40609i | 0.711144 | + | 0.703046i | \(0.248177\pi\) | ||||
−0.711144 | + | 0.703046i | \(0.751823\pi\) | |||||||
\(608\) | 31.6252i | 1.28257i | ||||||||
\(609\) | −3.31757 | + | 3.37381i | −0.134435 | + | 0.136714i | ||||
\(610\) | 12.3859 | 0.501492 | ||||||||
\(611\) | −11.3249 | −0.458158 | ||||||||
\(612\) | 0.140098 | + | 8.33334i | 0.00566314 | + | 0.336855i | ||||
\(613\) | 21.0615i | 0.850668i | 0.905037 | + | 0.425334i | \(0.139843\pi\) | ||||
−0.905037 | + | 0.425334i | \(0.860157\pi\) | |||||||
\(614\) | 16.7944i | 0.677767i | ||||||||
\(615\) | 1.79282 | − | 1.82322i | 0.0722936 | − | 0.0735192i | ||||
\(616\) | 0.727832 | − | 1.81075i | 0.0293252 | − | 0.0729573i | ||||
\(617\) | 38.2694i | 1.54067i | 0.637640 | + | 0.770334i | \(0.279911\pi\) | ||||
−0.637640 | + | 0.770334i | \(0.720089\pi\) | |||||||
\(618\) | −30.4064 | − | 29.8995i | −1.22313 | − | 1.20274i | ||||
\(619\) | 14.3645 | 0.577357 | 0.288679 | − | 0.957426i | \(-0.406784\pi\) | ||||
0.288679 | + | 0.957426i | \(0.406784\pi\) | |||||||
\(620\) | − | 3.19878i | − | 0.128466i | ||||||
\(621\) | −23.2051 | − | 22.0634i | −0.931189 | − | 0.885375i | ||||
\(622\) | − | 20.5120i | − | 0.822456i | ||||||
\(623\) | 9.17912 | 0.367754 | ||||||||
\(624\) | −7.45758 | + | 7.58400i | −0.298542 | + | 0.303603i | ||||
\(625\) | 22.4646 | 0.898586 | ||||||||
\(626\) | 51.3644 | 2.05293 | ||||||||
\(627\) | −22.1774 | + | 9.68163i | −0.885678 | + | 0.386647i | ||||
\(628\) | −7.49234 | −0.298977 | ||||||||
\(629\) | −10.5142 | −0.419228 | ||||||||
\(630\) | −0.0400752 | − | 2.38376i | −0.00159664 | − | 0.0949713i | ||||
\(631\) | 12.9501 | 0.515536 | 0.257768 | − | 0.966207i | \(-0.417013\pi\) | ||||
0.257768 | + | 0.966207i | \(0.417013\pi\) | |||||||
\(632\) | − | 9.80988i | − | 0.390216i | ||||||
\(633\) | 1.41220 | − | 1.43614i | 0.0561300 | − | 0.0570816i | ||||
\(634\) | 32.1628i | 1.27735i | ||||||||
\(635\) | −2.89789 | −0.114999 | ||||||||
\(636\) | −12.1719 | + | 12.3783i | −0.482647 | + | 0.490830i | ||||
\(637\) | 1.35904i | 0.0538470i | ||||||||
\(638\) | 16.1573 | + | 6.49444i | 0.639675 | + | 0.257117i | ||||
\(639\) | 24.9365 | − | 0.419226i | 0.986471 | − | 0.0165843i | ||||
\(640\) | − | 1.92362i | − | 0.0760377i | ||||||
\(641\) | 34.7902i | 1.37413i | 0.726596 | + | 0.687065i | \(0.241101\pi\) | ||||
−0.726596 | + | 0.687065i | \(0.758899\pi\) | |||||||
\(642\) | −12.7058 | − | 12.4940i | −0.501458 | − | 0.493099i | ||||
\(643\) | −19.3039 | −0.761273 | −0.380637 | − | 0.924725i | \(-0.624295\pi\) | ||||
−0.380637 | + | 0.924725i | \(0.624295\pi\) | |||||||
\(644\) | 10.4378 | 0.411309 | ||||||||
\(645\) | 0.613976 | + | 0.603741i | 0.0241753 | + | 0.0237723i | ||||
\(646\) | − | 13.2788i | − | 0.522446i | ||||||
\(647\) | 44.4284i | 1.74666i | 0.487128 | + | 0.873331i | \(0.338044\pi\) | ||||
−0.487128 | + | 0.873331i | \(0.661956\pi\) | |||||||
\(648\) | 5.29275 | − | 0.178011i | 0.207919 | − | 0.00699294i | ||||
\(649\) | −12.8284 | + | 31.9155i | −0.503561 | + | 1.25279i | ||||
\(650\) | − | 12.6133i | − | 0.494736i | ||||||
\(651\) | 5.54641 | − | 5.64044i | 0.217381 | − | 0.221066i | ||||
\(652\) | −6.17802 | −0.241950 | ||||||||
\(653\) | − | 25.8911i | − | 1.01320i | −0.862182 | − | 0.506599i | \(-0.830902\pi\) | ||
0.862182 | − | 0.506599i | \(-0.169098\pi\) | |||||||
\(654\) | 27.9548 | − | 28.4288i | 1.09312 | − | 1.11165i | ||||
\(655\) | − | 3.26284i | − | 0.127490i | ||||||
\(656\) | −16.1329 | −0.629882 | ||||||||
\(657\) | −0.871209 | + | 0.0146466i | −0.0339891 | + | 0.000571417i | ||||
\(658\) | −16.0156 | −0.624355 | ||||||||
\(659\) | −36.4163 | −1.41858 | −0.709289 | − | 0.704917i | \(-0.750984\pi\) | ||||
−0.709289 | + | 0.704917i | \(0.750984\pi\) | |||||||
\(660\) | −3.68735 | + | 1.60973i | −0.143530 | + | 0.0626586i | ||||
\(661\) | −31.8343 | −1.23821 | −0.619105 | − | 0.785308i | \(-0.712505\pi\) | ||||
−0.619105 | + | 0.785308i | \(0.712505\pi\) | |||||||
\(662\) | −0.0541711 | −0.00210542 | ||||||||
\(663\) | 2.70696 | − | 2.75285i | 0.105130 | − | 0.106912i | ||||
\(664\) | 2.07917 | 0.0806874 | ||||||||
\(665\) | 1.74179i | 0.0675437i | ||||||||
\(666\) | −0.621301 | − | 36.9563i | −0.0240749 | − | 1.43203i | ||||
\(667\) | − | 16.8342i | − | 0.651824i | ||||||
\(668\) | 10.7534 | 0.416061 | ||||||||
\(669\) | −15.3546 | − | 15.0986i | −0.593642 | − | 0.583745i | ||||
\(670\) | − | 4.86985i | − | 0.188139i | ||||||
\(671\) | 19.2785 | − | 47.9624i | 0.744239 | − | 1.85157i | ||||
\(672\) | −9.11729 | + | 9.27185i | −0.351707 | + | 0.357670i | ||||
\(673\) | − | 12.2118i | − | 0.470732i | −0.971907 | − | 0.235366i | \(-0.924371\pi\) | ||
0.971907 | − | 0.235366i | \(-0.0756289\pi\) | |||||||
\(674\) | 54.8005i | 2.11084i | ||||||||
\(675\) | −17.2900 | + | 18.1847i | −0.665492 | + | 0.699929i | ||||
\(676\) | 18.8915 | 0.726595 | ||||||||
\(677\) | 1.16457 | 0.0447582 | 0.0223791 | − | 0.999750i | \(-0.492876\pi\) | ||||
0.0223791 | + | 0.999750i | \(0.492876\pi\) | |||||||
\(678\) | 10.9195 | − | 11.1046i | 0.419360 | − | 0.426469i | ||||
\(679\) | − | 12.9612i | − | 0.497407i | ||||||
\(680\) | 0.399056i | 0.0153031i | ||||||||
\(681\) | −33.8553 | − | 33.2909i | −1.29734 | − | 1.27571i | ||||
\(682\) | −27.0123 | − | 10.8576i | −1.03435 | − | 0.415759i | ||||
\(683\) | 17.1511i | 0.656269i | 0.944631 | + | 0.328135i | \(0.106420\pi\) | ||||
−0.944631 | + | 0.328135i | \(0.893580\pi\) | |||||||
\(684\) | 21.4025 | − | 0.359815i | 0.818346 | − | 0.0137579i | ||||
\(685\) | 1.76652 | 0.0674952 | ||||||||
\(686\) | 1.92194i | 0.0733799i | ||||||||
\(687\) | −33.6184 | − | 33.0580i | −1.28262 | − | 1.26124i | ||||
\(688\) | − | 5.43281i | − | 0.207124i | ||||||
\(689\) | 8.04178 | 0.306367 | ||||||||
\(690\) | 6.04792 | + | 5.94709i | 0.230240 | + | 0.226402i | ||||
\(691\) | 3.24097 | 0.123292 | 0.0616461 | − | 0.998098i | \(-0.480365\pi\) | ||||
0.0616461 | + | 0.998098i | \(0.480365\pi\) | |||||||
\(692\) | 24.0571 | 0.914514 | ||||||||
\(693\) | −9.29308 | − | 3.55510i | −0.353015 | − | 0.135047i | ||||
\(694\) | 61.6436 | 2.33996 | ||||||||
\(695\) | −3.86035 | −0.146432 | ||||||||
\(696\) | 1.98520 | + | 1.95211i | 0.0752489 | + | 0.0739945i | ||||
\(697\) | 5.85592 | 0.221809 | ||||||||
\(698\) | 47.2708i | 1.78922i | ||||||||
\(699\) | −13.3653 | − | 13.1425i | −0.505522 | − | 0.497095i | ||||
\(700\) | − | 8.17961i | − | 0.309160i | ||||||
\(701\) | −1.96664 | −0.0742788 | −0.0371394 | − | 0.999310i | \(-0.511825\pi\) | ||||
−0.0371394 | + | 0.999310i | \(0.511825\pi\) | |||||||
\(702\) | 9.83595 | + | 9.35202i | 0.371234 | + | 0.352969i | ||||
\(703\) | 27.0036i | 1.01846i | ||||||||
\(704\) | 16.5929 | + | 6.66952i | 0.625369 | + | 0.251367i | ||||
\(705\) | −4.25534 | − | 4.18440i | −0.160265 | − | 0.157594i | ||||
\(706\) | 40.7642i | 1.53418i | ||||||||
\(707\) | − | 12.6217i | − | 0.474688i | ||||||
\(708\) | 21.3336 | − | 21.6953i | 0.801767 | − | 0.815359i | ||||
\(709\) | −25.8765 | −0.971812 | −0.485906 | − | 0.874011i | \(-0.661510\pi\) | ||||
−0.485906 | + | 0.874011i | \(0.661510\pi\) | |||||||
\(710\) | −6.60659 | −0.247941 | ||||||||
\(711\) | −50.0080 | + | 0.840724i | −1.87545 | + | 0.0315296i | ||||
\(712\) | − | 5.40114i | − | 0.202416i | ||||||
\(713\) | 28.1440i | 1.05400i | ||||||||
\(714\) | 3.82816 | − | 3.89306i | 0.143265 | − | 0.145694i | ||||
\(715\) | 1.72930 | + | 0.695091i | 0.0646720 | + | 0.0259949i | ||||
\(716\) | − | 42.5470i | − | 1.59006i | ||||||
\(717\) | −24.5886 | − | 24.1787i | −0.918279 | − | 0.902970i | ||||
\(718\) | −23.1654 | −0.864524 | ||||||||
\(719\) | 25.2880i | 0.943085i | 0.881843 | + | 0.471542i | \(0.156303\pi\) | ||||
−0.881843 | + | 0.471542i | \(0.843697\pi\) | |||||||
\(720\) | −5.60435 | + | 0.0942192i | −0.208862 | + | 0.00351134i | ||||
\(721\) | 12.8103i | 0.477082i | ||||||||
\(722\) | 2.41294 | 0.0898005 | ||||||||
\(723\) | 9.34202 | − | 9.50039i | 0.347433 | − | 0.353323i | ||||
\(724\) | 11.4834 | 0.426776 | ||||||||
\(725\) | −13.1921 | −0.489944 | ||||||||
\(726\) | 1.07752 | + | 36.6020i | 0.0399907 | + | 1.35843i | ||||
\(727\) | 44.7443 | 1.65948 | 0.829738 | − | 0.558154i | \(-0.188490\pi\) | ||||
0.829738 | + | 0.558154i | \(0.188490\pi\) | |||||||
\(728\) | 0.799678 | 0.0296380 | ||||||||
\(729\) | −1.36105 | − | 26.9657i | −0.0504092 | − | 0.998729i | ||||
\(730\) | 0.230816 | 0.00854287 | ||||||||
\(731\) | 1.97201i | 0.0729373i | ||||||||
\(732\) | −32.0600 | + | 32.6036i | −1.18497 | + | 1.20506i | ||||
\(733\) | 7.08238i | 0.261594i | 0.991409 | + | 0.130797i | \(0.0417536\pi\) | ||||
−0.991409 | + | 0.130797i | \(0.958246\pi\) | |||||||
\(734\) | −25.6709 | −0.947531 | ||||||||
\(735\) | −0.502144 | + | 0.510656i | −0.0185218 | + | 0.0188358i | ||||
\(736\) | − | 46.2635i | − | 1.70530i | ||||||
\(737\) | −18.8577 | − | 7.57984i | −0.694631 | − | 0.279207i | ||||
\(738\) | 0.346037 | + | 20.5830i | 0.0127378 | + | 0.757670i | ||||
\(739\) | − | 4.71652i | − | 0.173500i | −0.996230 | − | 0.0867499i | \(-0.972352\pi\) | ||
0.996230 | − | 0.0867499i | \(-0.0276481\pi\) | |||||||
\(740\) | 4.48979i | 0.165048i | ||||||||
\(741\) | −7.07015 | − | 6.95229i | −0.259728 | − | 0.255399i | ||||
\(742\) | 11.3726 | 0.417502 | ||||||||
\(743\) | 6.91850 | 0.253815 | 0.126908 | − | 0.991915i | \(-0.459495\pi\) | ||||
0.126908 | + | 0.991915i | \(0.459495\pi\) | |||||||
\(744\) | −3.31892 | − | 3.26359i | −0.121678 | − | 0.119649i | ||||
\(745\) | 6.05349i | 0.221783i | ||||||||
\(746\) | − | 3.68747i | − | 0.135008i | ||||||
\(747\) | −0.178188 | − | 10.5990i | −0.00651957 | − | 0.387798i | ||||
\(748\) | −8.54937 | − | 3.43642i | −0.312596 | − | 0.125648i | ||||
\(749\) | 5.35301i | 0.195595i | ||||||||
\(750\) | 9.48588 | − | 9.64670i | 0.346375 | − | 0.352248i | ||||
\(751\) | 27.8696 | 1.01698 | 0.508488 | − | 0.861069i | \(-0.330204\pi\) | ||||
0.508488 | + | 0.861069i | \(0.330204\pi\) | |||||||
\(752\) | 37.6537i | 1.37309i | ||||||||
\(753\) | 11.6816 | − | 11.8796i | 0.425701 | − | 0.432918i | ||||
\(754\) | 7.13552i | 0.259860i | ||||||||
\(755\) | 7.28864 | 0.265261 | ||||||||
\(756\) | 6.37851 | + | 6.06468i | 0.231984 | + | 0.220570i | ||||
\(757\) | −29.8479 | −1.08484 | −0.542420 | − | 0.840107i | \(-0.682492\pi\) | ||||
−0.542420 | + | 0.840107i | \(0.682492\pi\) | |||||||
\(758\) | 45.2394 | 1.64317 | ||||||||
\(759\) | 32.4426 | − | 14.1630i | 1.17759 | − | 0.514083i | ||||
\(760\) | 1.02490 | 0.0371769 | ||||||||
\(761\) | −41.1535 | −1.49181 | −0.745906 | − | 0.666051i | \(-0.767983\pi\) | ||||
−0.745906 | + | 0.666051i | \(0.767983\pi\) | |||||||
\(762\) | 16.3577 | − | 16.6350i | 0.592577 | − | 0.602623i | ||||
\(763\) | −11.9771 | −0.433602 | ||||||||
\(764\) | − | 18.8576i | − | 0.682243i | ||||||
\(765\) | 2.03427 | − | 0.0341998i | 0.0735494 | − | 0.00123650i | ||||
\(766\) | − | 19.4434i | − | 0.702519i | ||||||
\(767\) | −14.0948 | −0.508933 | ||||||||
\(768\) | 24.3604 | + | 23.9543i | 0.879032 | + | 0.864378i | ||||
\(769\) | 7.21978i | 0.260352i | 0.991491 | + | 0.130176i | \(0.0415543\pi\) | ||||
−0.991491 | + | 0.130176i | \(0.958446\pi\) | |||||||
\(770\) | 2.44555 | + | 0.982991i | 0.0881317 | + | 0.0354245i | ||||
\(771\) | −15.6867 | + | 15.9526i | −0.564943 | + | 0.574520i | ||||
\(772\) | − | 36.6607i | − | 1.31945i | ||||||
\(773\) | 8.26163i | 0.297150i | 0.988901 | + | 0.148575i | \(0.0474687\pi\) | ||||
−0.988901 | + | 0.148575i | \(0.952531\pi\) | |||||||
\(774\) | −6.93141 | + | 0.116529i | −0.249144 | + | 0.00418856i | ||||
\(775\) | 22.0550 | 0.792239 | ||||||||
\(776\) | −7.62659 | −0.273779 | ||||||||
\(777\) | −7.78492 | + | 7.91690i | −0.279282 | + | 0.284017i | ||||
\(778\) | − | 10.4521i | − | 0.374726i | ||||||
\(779\) | − | 15.0398i | − | 0.538856i | ||||||
\(780\) | −1.17553 | − | 1.15593i | −0.0420906 | − | 0.0413890i | ||||
\(781\) | −10.2830 | + | 25.5829i | −0.367956 | + | 0.915428i | ||||
\(782\) | 19.4251i | 0.694640i | ||||||||
\(783\) | 9.78116 | − | 10.2873i | 0.349550 | − | 0.367638i | ||||
\(784\) | 4.51858 | 0.161378 | ||||||||
\(785\) | 1.82898i | 0.0652790i | ||||||||
\(786\) | 18.7300 | + | 18.4177i | 0.668076 | + | 0.656939i | ||||
\(787\) | 27.8702i | 0.993465i | 0.867904 | + | 0.496733i | \(0.165467\pi\) | ||||
−0.867904 | + | 0.496733i | \(0.834533\pi\) | |||||||
\(788\) | −17.0086 | −0.605905 | ||||||||
\(789\) | −2.30873 | − | 2.27025i | −0.0821931 | − | 0.0808229i | ||||
\(790\) | 13.2490 | 0.471377 | ||||||||
\(791\) | −4.67841 | −0.166345 | ||||||||
\(792\) | −2.09187 | + | 5.46819i | −0.0743315 | + | 0.194304i | ||||
\(793\) | 21.1815 | 0.752179 | ||||||||
\(794\) | 49.3977 | 1.75306 | ||||||||
\(795\) | 3.02169 | + | 2.97132i | 0.107168 | + | 0.105382i | ||||
\(796\) | −33.6310 | −1.19202 | ||||||||
\(797\) | − | 1.97594i | − | 0.0699914i | −0.999387 | − | 0.0349957i | \(-0.988858\pi\) | ||
0.999387 | − | 0.0349957i | \(-0.0111418\pi\) | |||||||
\(798\) | −9.99854 | − | 9.83186i | −0.353945 | − | 0.348044i | ||||
\(799\) | − | 13.6676i | − | 0.483524i | ||||||
\(800\) | −36.2544 | −1.28179 | ||||||||
\(801\) | −27.5335 | + | 0.462887i | −0.972848 | + | 0.0163553i | ||||
\(802\) | 67.7464i | 2.39221i | ||||||||
\(803\) | 0.359260 | − | 0.893793i | 0.0126780 | − | 0.0315413i | ||||
\(804\) | 12.8189 | + | 12.6052i | 0.452089 | + | 0.444552i | ||||
\(805\) | − | 2.54801i | − | 0.0898056i | ||||||
\(806\) | − | 11.9294i | − | 0.420194i | ||||||
\(807\) | 15.6966 | − | 15.9627i | 0.552547 | − | 0.561915i | ||||
\(808\) | −7.42680 | −0.261274 | ||||||||
\(809\) | 26.8892 | 0.945373 | 0.472687 | − | 0.881231i | \(-0.343284\pi\) | ||||
0.472687 | + | 0.881231i | \(0.343284\pi\) | |||||||
\(810\) | 0.240418 | + | 7.14825i | 0.00844741 | + | 0.251164i | ||||
\(811\) | 6.63605i | 0.233023i | 0.993189 | + | 0.116512i | \(0.0371712\pi\) | ||||
−0.993189 | + | 0.116512i | \(0.962829\pi\) | |||||||
\(812\) | 4.62731i | 0.162387i | ||||||||
\(813\) | 24.5653 | − | 24.9818i | 0.861543 | − | 0.876149i | ||||
\(814\) | 37.9143 | + | 15.2397i | 1.32890 | + | 0.534150i | ||||
\(815\) | 1.50813i | 0.0528276i | ||||||||
\(816\) | −9.15280 | − | 9.00022i | −0.320412 | − | 0.315071i | ||||
\(817\) | 5.06471 | 0.177192 | ||||||||
\(818\) | − | 56.2983i | − | 1.96842i | ||||||
\(819\) | −0.0685338 | − | 4.07653i | −0.00239476 | − | 0.142446i | ||||
\(820\) | − | 2.50061i | − | 0.0873250i | ||||||
\(821\) | 0.765204 | 0.0267058 | 0.0133529 | − | 0.999911i | \(-0.495750\pi\) | ||||
0.0133529 | + | 0.999911i | \(0.495750\pi\) | |||||||
\(822\) | −9.97146 | + | 10.1405i | −0.347795 | + | 0.353691i | ||||
\(823\) | 46.9375 | 1.63614 | 0.818069 | − | 0.575120i | \(-0.195045\pi\) | ||||
0.818069 | + | 0.575120i | \(0.195045\pi\) | |||||||
\(824\) | 7.53780 | 0.262592 | ||||||||
\(825\) | −11.0988 | − | 25.4236i | −0.386411 | − | 0.885137i | ||||
\(826\) | −19.9327 | −0.693548 | ||||||||
\(827\) | 2.55853 | 0.0889688 | 0.0444844 | − | 0.999010i | \(-0.485836\pi\) | ||||
0.0444844 | + | 0.999010i | \(0.485836\pi\) | |||||||
\(828\) | −31.3091 | + | 0.526362i | −1.08807 | + | 0.0182923i | ||||
\(829\) | −21.0300 | −0.730402 | −0.365201 | − | 0.930929i | \(-0.619000\pi\) | ||||
−0.365201 | + | 0.930929i | \(0.619000\pi\) | |||||||
\(830\) | 2.80807i | 0.0974696i | ||||||||
\(831\) | 8.81900 | − | 8.96851i | 0.305928 | − | 0.311114i | ||||
\(832\) | 7.32788i | 0.254049i | ||||||||
\(833\) | −1.64016 | −0.0568282 | ||||||||
\(834\) | 21.7905 | − | 22.1599i | 0.754544 | − | 0.767335i | ||||
\(835\) | − | 2.62504i | − | 0.0908431i | ||||||
\(836\) | −8.82576 | + | 21.9574i | −0.305245 | + | 0.759411i | ||||
\(837\) | −16.3524 | + | 17.1986i | −0.565223 | + | 0.594471i | ||||
\(838\) | 14.5267i | 0.501817i | ||||||||
\(839\) | 16.4101i | 0.566538i | 0.959040 | + | 0.283269i | \(0.0914190\pi\) | ||||
−0.959040 | + | 0.283269i | \(0.908581\pi\) | |||||||
\(840\) | 0.300478 | + | 0.295469i | 0.0103675 | + | 0.0101947i | ||||
\(841\) | −21.5370 | −0.742657 | ||||||||
\(842\) | −4.43809 | −0.152947 | ||||||||
\(843\) | 31.5516 | + | 31.0256i | 1.08669 | + | 1.06858i | ||||
\(844\) | − | 1.96973i | − | 0.0678007i | ||||||
\(845\) | − | 4.61165i | − | 0.158645i | ||||||
\(846\) | 48.0401 | − | 0.807640i | 1.65165 | − | 0.0277672i | ||||
\(847\) | 7.61293 | − | 7.93998i | 0.261583 | − | 0.272821i | ||||
\(848\) | − | 26.7377i | − | 0.918175i | ||||||
\(849\) | −23.4587 | + | 23.8564i | −0.805102 | + | 0.818751i | ||||
\(850\) | 15.2225 | 0.522126 | ||||||||
\(851\) | − | 39.5027i | − | 1.35414i | ||||||
\(852\) | 17.1006 | − | 17.3906i | 0.585858 | − | 0.595791i | ||||
\(853\) | 37.0834i | 1.26971i | 0.772630 | + | 0.634856i | \(0.218941\pi\) | ||||
−0.772630 | + | 0.634856i | \(0.781059\pi\) | |||||||
\(854\) | 29.9548 | 1.02503 | ||||||||
\(855\) | −0.0878353 | − | 5.22463i | −0.00300390 | − | 0.178679i | ||||
\(856\) | 3.14979 | 0.107658 | ||||||||
\(857\) | 51.6425 | 1.76407 | 0.882037 | − | 0.471180i | \(-0.156172\pi\) | ||||
0.882037 | + | 0.471180i | \(0.156172\pi\) | |||||||
\(858\) | −13.7514 | + | 6.00325i | −0.469466 | + | 0.204948i | ||||
\(859\) | −20.1363 | −0.687043 | −0.343522 | − | 0.939145i | \(-0.611620\pi\) | ||||
−0.343522 | + | 0.939145i | \(0.611620\pi\) | |||||||
\(860\) | 0.842091 | 0.0287151 | ||||||||
\(861\) | 4.33584 | − | 4.40935i | 0.147765 | − | 0.150270i | ||||
\(862\) | −31.1920 | −1.06240 | ||||||||
\(863\) | − | 1.50058i | − | 0.0510803i | −0.999674 | − | 0.0255402i | \(-0.991869\pi\) | ||
0.999674 | − | 0.0255402i | \(-0.00813057\pi\) | |||||||
\(864\) | 26.8804 | − | 28.2714i | 0.914491 | − | 0.961813i | ||||
\(865\) | − | 5.87265i | − | 0.199676i | ||||||
\(866\) | 3.20623 | 0.108952 | ||||||||
\(867\) | −17.6726 | − | 17.3780i | −0.600194 | − | 0.590189i | ||||
\(868\) | − | 7.73607i | − | 0.262579i | ||||||
\(869\) | 20.6218 | − | 51.3044i | 0.699547 | − | 1.74038i | ||||
\(870\) | −2.63647 | + | 2.68116i | −0.0893846 | + | 0.0909000i | ||||
\(871\) | − | 8.32807i | − | 0.282186i | ||||||
\(872\) | 7.04754i | 0.238660i | ||||||||
\(873\) | 0.653612 | + | 38.8782i | 0.0221214 | + | 1.31583i | ||||
\(874\) | 49.8895 | 1.68754 | ||||||||
\(875\) | −4.06419 | −0.137395 | ||||||||
\(876\) | −0.597448 | + | 0.607576i | −0.0201859 | + | 0.0205281i | ||||
\(877\) | 10.2813i | 0.347176i | 0.984818 | + | 0.173588i | \(0.0555360\pi\) | ||||
−0.984818 | + | 0.173588i | \(0.944464\pi\) | |||||||
\(878\) | − | 66.3725i | − | 2.23996i | ||||||
\(879\) | 24.0369 | + | 23.6361i | 0.810743 | + | 0.797227i | ||||
\(880\) | 2.31107 | − | 5.74964i | 0.0779061 | − | 0.193820i | ||||
\(881\) | − | 58.2128i | − | 1.96124i | −0.195920 | − | 0.980620i | \(-0.562769\pi\) | ||
0.195920 | − | 0.980620i | \(-0.437231\pi\) | |||||||
\(882\) | −0.0969199 | − | 5.76500i | −0.00326346 | − | 0.194118i | ||||
\(883\) | −4.96966 | −0.167243 | −0.0836213 | − | 0.996498i | \(-0.526649\pi\) | ||||
−0.0836213 | + | 0.996498i | \(0.526649\pi\) | |||||||
\(884\) | − | 3.77564i | − | 0.126988i | ||||||
\(885\) | −5.29610 | − | 5.20781i | −0.178026 | − | 0.175059i | ||||
\(886\) | 44.4654i | 1.49384i | ||||||||
\(887\) | −39.5512 | −1.32800 | −0.664000 | − | 0.747733i | \(-0.731142\pi\) | ||||
−0.664000 | + | 0.747733i | \(0.731142\pi\) | |||||||
\(888\) | 4.65842 | + | 4.58077i | 0.156326 | + | 0.153720i | ||||
\(889\) | −7.00839 | −0.235054 | ||||||||
\(890\) | 7.29464 | 0.244517 | ||||||||
\(891\) | 28.0546 | + | 10.1952i | 0.939863 | + | 0.341550i | ||||
\(892\) | −21.0594 | −0.705119 | ||||||||
\(893\) | −35.1024 | −1.17466 | ||||||||
\(894\) | −34.7494 | − | 34.1701i | −1.16219 | − | 1.14282i | ||||
\(895\) | −10.3863 | −0.347175 | ||||||||
\(896\) | − | 4.65217i | − | 0.155418i | ||||||
\(897\) | 10.3427 | + | 10.1703i | 0.345333 | + | 0.339576i | ||||
\(898\) | 27.2854i | 0.910525i | ||||||||
\(899\) | −12.4768 | −0.416124 | ||||||||
\(900\) | 0.412483 | + | 24.5354i | 0.0137494 | + | 0.817846i | ||||
\(901\) | 9.70526i | 0.323329i | ||||||||
\(902\) | −21.1166 | − | 8.48780i | −0.703105 | − | 0.282613i | ||||
\(903\) | 1.48487 | + | 1.46011i | 0.0494133 | + | 0.0485896i | ||||
\(904\) | 2.75285i | 0.0915583i | ||||||||
\(905\) | − | 2.80324i | − | 0.0931827i | ||||||
\(906\) | −41.1421 | + | 41.8396i | −1.36685 | + | 1.39003i | ||||
\(907\) | −17.3361 | −0.575634 | −0.287817 | − | 0.957685i | \(-0.592930\pi\) | ||||
−0.287817 | + | 0.957685i | \(0.592930\pi\) | |||||||
\(908\) | −46.4338 | −1.54096 | ||||||||
\(909\) | 0.636490 | + | 37.8597i | 0.0211110 | + | 1.25573i | ||||
\(910\) | 1.08002i | 0.0358025i | ||||||||
\(911\) | 24.3870i | 0.807976i | 0.914764 | + | 0.403988i | \(0.132376\pi\) | ||||
−0.914764 | + | 0.403988i | \(0.867624\pi\) | |||||||
\(912\) | −23.1153 | + | 23.5071i | −0.765423 | + | 0.778399i | ||||
\(913\) | 10.8738 | + | 4.37072i | 0.359870 | + | 0.144650i | ||||
\(914\) | 30.5477i | 1.01043i | ||||||||
\(915\) | 7.95894 | + | 7.82626i | 0.263115 | + | 0.258728i | ||||
\(916\) | −46.1089 | −1.52348 | ||||||||
\(917\) | − | 7.89101i | − | 0.260584i | ||||||
\(918\) | −11.2865 | + | 11.8706i | −0.372511 | + | 0.391787i | ||||
\(919\) | 5.37606i | 0.177340i | 0.996061 | + | 0.0886700i | \(0.0282616\pi\) | ||||
−0.996061 | + | 0.0886700i | \(0.971738\pi\) | |||||||
\(920\) | −1.49929 | −0.0494301 | ||||||||
\(921\) | −10.6118 | + | 10.7917i | −0.349671 | + | 0.355599i | ||||
\(922\) | −49.0218 | −1.61445 | ||||||||
\(923\) | −11.2981 | −0.371882 | ||||||||
\(924\) | −8.91766 | + | 3.89305i | −0.293369 | + | 0.128072i | ||||
\(925\) | −30.9563 | −1.01784 | ||||||||
\(926\) | 25.4565 | 0.836553 | ||||||||
\(927\) | −0.646003 | − | 38.4256i | −0.0212175 | − | 1.26206i | ||||
\(928\) | 20.5096 | 0.673260 | ||||||||
\(929\) | − | 23.9905i | − | 0.787101i | −0.919303 | − | 0.393551i | \(-0.871247\pi\) | ||
0.919303 | − | 0.393551i | \(-0.128753\pi\) | |||||||
\(930\) | 4.40773 | − | 4.48245i | 0.144535 | − | 0.146985i | ||||
\(931\) | 4.21243i | 0.138057i | ||||||||
\(932\) | −18.3310 | −0.600452 | ||||||||
\(933\) | 12.9608 | − | 13.1806i | 0.424319 | − | 0.431512i | ||||
\(934\) | − | 54.4691i | − | 1.78228i | ||||||
\(935\) | −0.838874 | + | 2.08701i | −0.0274341 | + | 0.0682525i | ||||
\(936\) | −2.39869 | + | 0.0403263i | −0.0784038 | + | 0.00131811i | ||||
\(937\) | − | 25.8520i | − | 0.844546i | −0.906469 | − | 0.422273i | \(-0.861232\pi\) | ||
0.906469 | − | 0.422273i | \(-0.138768\pi\) | |||||||
\(938\) | − | 11.7775i | − | 0.384548i | ||||||
\(939\) | 33.0056 | + | 32.4554i | 1.07710 | + | 1.05914i | ||||
\(940\) | −5.83635 | −0.190361 | ||||||||
\(941\) | −21.1934 | −0.690884 | −0.345442 | − | 0.938440i | \(-0.612271\pi\) | ||||
−0.345442 | + | 0.938440i | \(0.612271\pi\) | |||||||
\(942\) | −10.4990 | − | 10.3240i | −0.342077 | − | 0.336374i | ||||
\(943\) | 22.0012i | 0.716459i | ||||||||
\(944\) | 46.8629i | 1.52526i | ||||||||
\(945\) | 1.48047 | − | 1.55708i | 0.0481596 | − | 0.0506517i | ||||
\(946\) | 2.85830 | − | 7.11109i | 0.0929315 | − | 0.231202i | ||||
\(947\) | − | 44.9355i | − | 1.46021i | −0.683336 | − | 0.730104i | \(-0.739472\pi\) | ||
0.683336 | − | 0.730104i | \(-0.260528\pi\) | |||||||
\(948\) | −34.2939 | + | 34.8753i | −1.11381 | + | 1.13270i | ||||
\(949\) | 0.394724 | 0.0128133 | ||||||||
\(950\) | − | 39.0959i | − | 1.26844i | ||||||
\(951\) | −20.3226 | + | 20.6671i | −0.659005 | + | 0.670177i | ||||
\(952\) | 0.965096i | 0.0312789i | ||||||||
\(953\) | 43.7243 | 1.41637 | 0.708184 | − | 0.706028i | \(-0.249515\pi\) | ||||
0.708184 | + | 0.706028i | \(0.249515\pi\) | |||||||
\(954\) | −34.1130 | + | 0.573501i | −1.10445 | + | 0.0185678i | ||||
\(955\) | −4.60337 | −0.148962 | ||||||||
\(956\) | −33.7242 | −1.09072 | ||||||||
\(957\) | 6.27873 | + | 14.3825i | 0.202963 | + | 0.464919i | ||||
\(958\) | −2.95426 | −0.0954478 | ||||||||
\(959\) | 4.27223 | 0.137958 | ||||||||
\(960\) | −2.70754 | + | 2.75345i | −0.0873856 | + | 0.0888671i | ||||
\(961\) | −10.1409 | −0.327127 | ||||||||
\(962\) | 16.7440i | 0.539849i | ||||||||
\(963\) | −0.269943 | − | 16.0567i | −0.00869878 | − | 0.517422i | ||||
\(964\) | − | 13.0301i | − | 0.419673i | ||||||
\(965\) | −8.94935 | −0.288090 | ||||||||
\(966\) | 14.6266 | + | 14.3827i | 0.470602 | + | 0.462757i | ||||
\(967\) | 17.8707i | 0.574682i | 0.957828 | + | 0.287341i | \(0.0927714\pi\) | ||||
−0.957828 | + | 0.287341i | \(0.907229\pi\) | |||||||
\(968\) | −4.67201 | − | 4.47956i | −0.150164 | − | 0.143979i | ||||
\(969\) | 8.39040 | − | 8.53265i | 0.269539 | − | 0.274108i | ||||
\(970\) | − | 10.3003i | − | 0.330722i | ||||||
\(971\) | 25.6948i | 0.824586i | 0.911051 | + | 0.412293i | \(0.135272\pi\) | ||||
−0.911051 | + | 0.412293i | \(0.864728\pi\) | |||||||
\(972\) | −19.4387 | − | 17.8698i | −0.623495 | − | 0.573175i | ||||
\(973\) | −9.33606 | −0.299300 | ||||||||
\(974\) | −13.7965 | −0.442070 | ||||||||
\(975\) | 7.96994 | − | 8.10506i | 0.255242 | − | 0.259570i | ||||
\(976\) | − | 70.4253i | − | 2.25426i | ||||||
\(977\) | − | 30.5104i | − | 0.976114i | −0.872812 | − | 0.488057i | \(-0.837706\pi\) | ||
0.872812 | − | 0.488057i | \(-0.162294\pi\) | |||||||
\(978\) | −8.65727 | − | 8.51295i | −0.276829 | − | 0.272214i | ||||
\(979\) | 11.3540 | − | 28.2472i | 0.362875 | − | 0.902786i | ||||
\(980\) | 0.700384i | 0.0223730i | ||||||||
\(981\) | 35.9264 | − | 0.603986i | 1.14704 | − | 0.0192838i | ||||
\(982\) | −72.0668 | −2.29974 | ||||||||
\(983\) | 7.50598i | 0.239404i | 0.992810 | + | 0.119702i | \(0.0381938\pi\) | ||||
−0.992810 | + | 0.119702i | \(0.961806\pi\) | |||||||
\(984\) | −2.59453 | − | 2.55128i | −0.0827106 | − | 0.0813318i | ||||
\(985\) | 4.15201i | 0.132294i | ||||||||
\(986\) | −8.61154 | −0.274247 | ||||||||
\(987\) | −10.2913 | − | 10.1197i | −0.327576 | − | 0.322115i | ||||
\(988\) | −9.69697 | −0.308502 | ||||||||
\(989\) | −7.40901 | −0.235593 | ||||||||
\(990\) | −7.38520 | − | 2.82523i | −0.234717 | − | 0.0897918i | ||||
\(991\) | −39.5227 | −1.25548 | −0.627740 | − | 0.778423i | \(-0.716020\pi\) | ||||
−0.627740 | + | 0.778423i | \(0.716020\pi\) | |||||||
\(992\) | −34.2885 | −1.08866 | ||||||||
\(993\) | −0.0348092 | − | 0.0342289i | −0.00110464 | − | 0.00108622i | ||||
\(994\) | −15.9777 | −0.506782 | ||||||||
\(995\) | 8.20975i | 0.260267i | ||||||||
\(996\) | −7.39170 | − | 7.26847i | −0.234215 | − | 0.230310i | ||||
\(997\) | 16.1240i | 0.510652i | 0.966855 | + | 0.255326i | \(0.0821828\pi\) | ||||
−0.966855 | + | 0.255326i | \(0.917817\pi\) | |||||||
\(998\) | 25.5064 | 0.807391 | ||||||||
\(999\) | 22.9522 | − | 24.1399i | 0.726176 | − | 0.763753i |
(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 | 231.2.g.a.197.20 | yes | 24 | |
3.2 | odd | 2 | inner | 231.2.g.a.197.5 | ✓ | 24 | |
11.10 | odd | 2 | inner | 231.2.g.a.197.6 | yes | 24 | |
33.32 | even | 2 | inner | 231.2.g.a.197.19 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
231.2.g.a.197.5 | ✓ | 24 | 3.2 | odd | 2 | inner | |
231.2.g.a.197.6 | yes | 24 | 11.10 | odd | 2 | inner | |
231.2.g.a.197.19 | yes | 24 | 33.32 | even | 2 | inner | |
231.2.g.a.197.20 | yes | 24 | 1.1 | even | 1 | trivial |