Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [512,2,Mod(17,512)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(512, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([0, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("512.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 512 = 2^{9} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 512.k (of order \(32\), degree \(16\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.08834058349\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(15\) over \(\Q(\zeta_{32})\) |
Twist minimal: | no (minimal twist has level 128) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 49.1 | ||
Character | \(\chi\) | \(=\) | 512.49 |
Dual form | 512.2.k.a.209.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/512\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(511\) |
\(\chi(n)\) | \(e\left(\frac{5}{32}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −0.317663 | − | 3.22529i | −0.183403 | − | 1.86212i | −0.443154 | − | 0.896446i | \(-0.646140\pi\) |
0.259751 | − | 0.965676i | \(-0.416360\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 1.50066 | + | 0.802122i | 0.671118 | + | 0.358720i | 0.771500 | − | 0.636229i | \(-0.219507\pi\) |
−0.100383 | + | 0.994949i | \(0.532007\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.303583 | + | 1.52621i | −0.114743 | + | 0.576854i | 0.880045 | + | 0.474891i | \(0.157512\pi\) |
−0.994788 | + | 0.101963i | \(0.967488\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −7.35922 | + | 1.46384i | −2.45307 | + | 0.487947i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −3.19359 | − | 3.89140i | −0.962903 | − | 1.17330i | −0.984827 | − | 0.173541i | \(-0.944479\pi\) |
0.0219235 | − | 0.999760i | \(-0.493021\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.40755 | − | 4.50420i | −0.667733 | − | 1.24924i | −0.956470 | − | 0.291832i | \(-0.905735\pi\) |
0.288736 | − | 0.957409i | \(-0.406765\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 2.11037 | − | 5.09488i | 0.544895 | − | 1.31549i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −0.368847 | − | 0.890474i | −0.0894584 | − | 0.215972i | 0.872818 | − | 0.488046i | \(-0.162290\pi\) |
−0.962276 | + | 0.272075i | \(0.912290\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.131803 | − | 0.434495i | 0.0302376 | − | 0.0996799i | −0.940523 | − | 0.339731i | \(-0.889664\pi\) |
0.970760 | + | 0.240051i | \(0.0771641\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 5.01891 | + | 0.494320i | 1.09522 | + | 0.107869i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −0.236053 | − | 0.157726i | −0.0492205 | − | 0.0328881i | 0.530717 | − | 0.847549i | \(-0.321923\pi\) |
−0.579937 | + | 0.814661i | \(0.696923\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.16926 | − | 1.74992i | −0.233851 | − | 0.349983i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 4.23671 | + | 13.9666i | 0.815356 | + | 2.68787i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 1.73837 | + | 1.42664i | 0.322807 | + | 0.264921i | 0.781814 | − | 0.623512i | \(-0.214295\pi\) |
−0.459007 | + | 0.888433i | \(0.651795\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.94700 | − | 2.94700i | −0.529297 | − | 0.529297i | 0.391066 | − | 0.920363i | \(-0.372106\pi\) |
−0.920363 | + | 0.391066i | \(0.872106\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −11.5364 | + | 11.5364i | −2.00823 | + | 2.00823i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −1.67978 | + | 2.04682i | −0.283935 | + | 0.345976i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 8.70317 | − | 2.64008i | 1.43079 | − | 0.434026i | 0.522599 | − | 0.852579i | \(-0.324962\pi\) |
0.908193 | + | 0.418553i | \(0.137462\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −13.7626 | + | 9.19585i | −2.20377 | + | 1.47251i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 3.20695 | − | 4.79954i | 0.500842 | − | 0.749563i | −0.491793 | − | 0.870712i | \(-0.663658\pi\) |
0.992634 | + | 0.121150i | \(0.0386581\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.328880 | + | 3.33918i | −0.0501538 | + | 0.509220i | 0.936987 | + | 0.349365i | \(0.113603\pi\) |
−0.987141 | + | 0.159855i | \(0.948897\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −12.2179 | − | 3.70626i | −1.82134 | − | 0.552497i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −2.66420 | + | 1.10355i | −0.388614 | + | 0.160969i | −0.568431 | − | 0.822731i | \(-0.692449\pi\) |
0.179817 | + | 0.983700i | \(0.442449\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 4.22999 | + | 1.75212i | 0.604285 | + | 0.250303i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −2.75487 | + | 1.47251i | −0.385759 | + | 0.206192i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −4.50611 | + | 3.69807i | −0.618961 | + | 0.507968i | −0.890813 | − | 0.454371i | \(-0.849864\pi\) |
0.271851 | + | 0.962339i | \(0.412364\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.67113 | − | 8.40133i | −0.225335 | − | 1.13284i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −1.44324 | − | 0.287078i | −0.191162 | − | 0.0380244i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 2.31339 | − | 4.32806i | 0.301178 | − | 0.563465i | −0.685121 | − | 0.728429i | \(-0.740251\pi\) |
0.986300 | + | 0.164964i | \(0.0527508\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.85529 | − | 0.379713i | 0.493619 | − | 0.0486172i | 0.151855 | − | 0.988403i | \(-0.451475\pi\) |
0.341765 | + | 0.939786i | \(0.388975\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | − | 11.6761i | − | 1.47105i | ||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | − | 8.69044i | − | 1.07792i | ||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 6.80932 | − | 0.670660i | 0.831891 | − | 0.0819341i | 0.326900 | − | 0.945059i | \(-0.393996\pi\) |
0.504991 | + | 0.863125i | \(0.331496\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −0.433726 | + | 0.811444i | −0.0522144 | + | 0.0976864i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 12.5407 | + | 2.49450i | 1.48831 | + | 0.296043i | 0.871236 | − | 0.490865i | \(-0.163319\pi\) |
0.617071 | + | 0.786908i | \(0.288319\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 1.61764 | + | 8.13245i | 0.189331 | + | 0.951831i | 0.952246 | + | 0.305332i | \(0.0987675\pi\) |
−0.762915 | + | 0.646499i | \(0.776232\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −5.27255 | + | 4.32707i | −0.608822 | + | 0.499647i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 6.90862 | − | 3.69274i | 0.787311 | − | 0.420826i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 8.12045 | + | 3.36360i | 0.913621 | + | 0.378434i | 0.789442 | − | 0.613825i | \(-0.210370\pi\) |
0.124180 | + | 0.992260i | \(0.460370\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 22.9037 | − | 9.48701i | 2.54485 | − | 1.05411i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 0.849890 | + | 0.257811i | 0.0932875 | + | 0.0282985i | 0.336583 | − | 0.941654i | \(-0.390729\pi\) |
−0.243296 | + | 0.969952i | \(0.578229\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.160754 | − | 1.63216i | 0.0174362 | − | 0.177033i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 4.04912 | − | 6.05994i | 0.434111 | − | 0.649694i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −2.90325 | + | 1.93989i | −0.307744 | + | 0.205628i | −0.699846 | − | 0.714294i | \(-0.746748\pi\) |
0.392102 | + | 0.919922i | \(0.371748\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 7.60526 | − | 2.30703i | 0.797248 | − | 0.241843i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −8.56877 | + | 10.4411i | −0.888540 | + | 1.08269i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0.546309 | − | 0.546309i | 0.0560501 | − | 0.0560501i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −9.58537 | − | 9.58537i | −0.973247 | − | 0.973247i | 0.0264041 | − | 0.999651i | \(-0.491594\pi\) |
−0.999651 | + | 0.0264041i | \(0.991594\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 29.1987 | + | 23.9628i | 2.93458 | + | 2.40835i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −3.79753 | − | 12.5188i | −0.377869 | − | 1.24567i | −0.915442 | − | 0.402450i | \(-0.868159\pi\) |
0.537573 | − | 0.843217i | \(-0.319341\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.0305437 | + | 0.0457118i | 0.00300956 | + | 0.00450412i | 0.832971 | − | 0.553316i | \(-0.186638\pi\) |
−0.829962 | + | 0.557820i | \(0.811638\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 7.13520 | + | 4.76759i | 0.696325 | + | 0.465269i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −8.83330 | − | 0.870004i | −0.853947 | − | 0.0841064i | −0.338436 | − | 0.940989i | \(-0.609898\pi\) |
−0.515511 | + | 0.856883i | \(0.672398\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 3.30779 | − | 10.9043i | 0.316829 | − | 1.04445i | −0.643470 | − | 0.765471i | \(-0.722506\pi\) |
0.960299 | − | 0.278974i | \(-0.0899942\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −11.2797 | − | 27.2316i | −1.07062 | − | 2.58471i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 2.45674 | − | 5.93109i | 0.231111 | − | 0.557950i | −0.765198 | − | 0.643795i | \(-0.777359\pi\) |
0.996309 | + | 0.0858448i | \(0.0273589\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.227722 | − | 0.426037i | −0.0212351 | − | 0.0397282i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 24.3111 | + | 29.6231i | 2.24756 | + | 2.73866i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 1.47103 | − | 0.292606i | 0.134849 | − | 0.0268231i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −2.79798 | + | 14.0664i | −0.254362 | + | 1.27876i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −16.4986 | − | 8.81871i | −1.48763 | − | 0.795156i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −1.18494 | − | 12.0309i | −0.105984 | − | 1.07607i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 3.73221 | 0.331180 | 0.165590 | − | 0.986195i | \(-0.447047\pi\) | ||||
0.165590 | + | 0.986195i | \(0.447047\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 10.8743 | 0.957427 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −0.291332 | − | 2.95794i | −0.0254538 | − | 0.258437i | −0.999487 | − | 0.0320310i | \(-0.989802\pi\) |
0.974033 | − | 0.226406i | \(-0.0726975\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.623119 | + | 0.333064i | 0.0540312 | + | 0.0288803i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −4.84501 | + | 24.3575i | −0.416992 | + | 2.09636i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −14.3917 | + | 2.86269i | −1.22957 | + | 0.244576i | −0.766789 | − | 0.641899i | \(-0.778147\pi\) |
−0.462776 | + | 0.886475i | \(0.653147\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −10.9300 | − | 13.3183i | −0.927074 | − | 1.12964i | −0.991289 | − | 0.131707i | \(-0.957954\pi\) |
0.0642150 | − | 0.997936i | \(-0.479546\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 4.40558 | + | 8.24226i | 0.371017 | + | 0.694123i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −9.83893 | + | 23.7533i | −0.822773 | + | 1.98635i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1.46437 | + | 3.53530i | 0.121609 | + | 0.293591i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 4.30738 | − | 14.1995i | 0.355267 | − | 1.17116i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −15.7961 | − | 1.55578i | −1.29407 | − | 0.127454i | −0.572561 | − | 0.819862i | \(-0.694050\pi\) |
−0.721506 | + | 0.692408i | \(0.756550\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 16.4959 | + | 11.0222i | 1.34242 | + | 0.896975i | 0.999107 | − | 0.0422475i | \(-0.0134518\pi\) |
0.343310 | + | 0.939222i | \(0.388452\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 4.01794 | + | 6.01327i | 0.324831 | + | 0.486144i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −2.05860 | − | 6.78631i | −0.165351 | − | 0.545089i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 18.6720 | + | 15.3237i | 1.49019 | + | 1.22297i | 0.914042 | + | 0.405620i | \(0.132944\pi\) |
0.576147 | + | 0.817346i | \(0.304556\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 13.3588 | + | 13.3588i | 1.05942 | + | 1.05942i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0.312385 | − | 0.312385i | 0.0246194 | − | 0.0246194i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 9.16668 | − | 11.1696i | 0.717990 | − | 0.874873i | −0.278339 | − | 0.960483i | \(-0.589784\pi\) |
0.996329 | + | 0.0856098i | \(0.0272838\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −26.5659 | + | 8.05867i | −2.06815 | + | 0.627366i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 7.60459 | − | 5.08123i | 0.588461 | − | 0.393197i | −0.225392 | − | 0.974268i | \(-0.572366\pi\) |
0.813853 | + | 0.581071i | \(0.197366\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −7.26914 | + | 10.8790i | −0.559165 | + | 0.836849i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −0.333933 | + | 3.39048i | −0.0255365 | + | 0.259277i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −0.312440 | − | 0.0947775i | −0.0237543 | − | 0.00720580i | 0.278385 | − | 0.960470i | \(-0.410201\pi\) |
−0.302139 | + | 0.953264i | \(0.597701\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 3.02571 | − | 1.25329i | 0.228722 | − | 0.0947398i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −14.6941 | − | 6.08650i | −1.10448 | − | 0.457489i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −3.98777 | + | 2.13151i | −0.298060 | + | 0.159316i | −0.613647 | − | 0.789580i | \(-0.710298\pi\) |
0.315588 | + | 0.948896i | \(0.397798\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 7.80016 | − | 6.40142i | 0.579781 | − | 0.475814i | −0.298204 | − | 0.954502i | \(-0.596388\pi\) |
0.877985 | + | 0.478688i | \(0.158888\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −2.44937 | − | 12.3138i | −0.181062 | − | 0.910262i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 15.1782 | + | 3.01913i | 1.11592 | + | 0.221971i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −2.28725 | + | 4.27914i | −0.167260 | + | 0.312922i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −22.6022 | + | 2.22612i | −1.64407 | + | 0.161926i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 27.1343i | 1.96337i | 0.190505 | + | 0.981686i | \(0.438987\pi\) | ||||
−0.190505 | + | 0.981686i | \(0.561013\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 1.59261i | 0.114638i | 0.998356 | + | 0.0573191i | \(0.0182553\pi\) | ||||
−0.998356 | + | 0.0573191i | \(0.981745\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −28.0292 | + | 2.76063i | −2.00721 | + | 0.197693i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −4.94604 | + | 9.25339i | −0.352391 | + | 0.659276i | −0.994195 | − | 0.107592i | \(-0.965686\pi\) |
0.641805 | + | 0.766868i | \(0.278186\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 2.99794 | + | 0.596327i | 0.212518 | + | 0.0422725i | 0.300201 | − | 0.953876i | \(-0.402946\pi\) |
−0.0876828 | + | 0.996148i | \(0.527946\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −4.32614 | − | 21.7490i | −0.305143 | − | 1.53406i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −2.70510 | + | 2.22002i | −0.189861 | + | 0.155815i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 8.66238 | − | 4.63014i | 0.605007 | − | 0.323383i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 1.96805 | + | 0.815195i | 0.136789 | + | 0.0566599i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −2.11172 | + | 0.874701i | −0.146070 | + | 0.0605043i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 17.2416 | + | 5.23017i | 1.18696 | + | 0.360060i | 0.821195 | − | 0.570648i | \(-0.193308\pi\) |
0.365764 | + | 0.930708i | \(0.380808\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 4.06176 | − | 41.2398i | 0.278307 | − | 2.82570i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −3.17197 | + | 4.74718i | −0.216326 | + | 0.323755i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 5.39241 | − | 3.60309i | 0.366060 | − | 0.244594i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 25.7156 | − | 7.80075i | 1.73770 | − | 0.527126i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −3.12286 | + | 3.80522i | −0.210066 | + | 0.255967i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −10.6068 | + | 10.6068i | −0.710285 | + | 0.710285i | −0.966595 | − | 0.256310i | \(-0.917493\pi\) |
0.256310 | + | 0.966595i | \(0.417493\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 11.1664 | + | 11.1664i | 0.744428 | + | 0.744428i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −20.3904 | − | 16.7339i | −1.35336 | − | 1.11067i | −0.983366 | − | 0.181635i | \(-0.941861\pi\) |
−0.369990 | − | 0.929036i | \(-0.620639\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 4.35928 | + | 14.3706i | 0.288069 | + | 0.949638i | 0.974867 | + | 0.222789i | \(0.0715160\pi\) |
−0.686797 | + | 0.726849i | \(0.740984\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −14.1048 | − | 21.1093i | −0.928025 | − | 1.38889i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −10.9074 | − | 7.28809i | −0.714567 | − | 0.477459i | 0.144380 | − | 0.989522i | \(-0.453881\pi\) |
−0.858948 | + | 0.512064i | \(0.828881\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −4.88325 | − | 0.480958i | −0.318548 | − | 0.0313743i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 8.26901 | − | 27.2593i | 0.537130 | − | 1.77068i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −5.92099 | − | 14.2945i | −0.382997 | − | 0.924636i | −0.991383 | − | 0.130995i | \(-0.958183\pi\) |
0.608386 | − | 0.793641i | \(-0.291817\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 1.01639 | − | 2.45379i | 0.0654717 | − | 0.158063i | −0.887757 | − | 0.460312i | \(-0.847738\pi\) |
0.953229 | + | 0.302249i | \(0.0977375\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −17.2339 | − | 32.2423i | −1.10555 | − | 2.06834i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 4.94239 | + | 6.02232i | 0.315757 | + | 0.384752i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −2.27437 | + | 0.452401i | −0.144715 | + | 0.0287856i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0.561537 | − | 2.82304i | 0.0355860 | − | 0.178903i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −2.38979 | − | 1.27737i | −0.150842 | − | 0.0806269i | 0.394249 | − | 0.919004i | \(-0.371005\pi\) |
−0.545091 | + | 0.838377i | \(0.683505\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.140083 | + | 1.42229i | 0.00880696 | + | 0.0894185i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −5.31526 | −0.332855 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −3.22235 | −0.201005 | −0.100502 | − | 0.994937i | \(-0.532045\pi\) | ||||
−0.100502 | + | 0.994937i | \(0.532045\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 1.38719 | + | 14.0844i | 0.0861957 | + | 0.875160i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −14.8814 | − | 7.95429i | −0.921137 | − | 0.492358i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 0.626902 | − | 3.15165i | 0.0386564 | − | 0.194339i | −0.956632 | − | 0.291300i | \(-0.905912\pi\) |
0.995288 | + | 0.0969610i | \(0.0309122\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −9.72845 | + | 1.93511i | −0.597614 | + | 0.118873i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 7.17897 | + | 8.74760i | 0.439346 | + | 0.535344i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 3.30637 | + | 6.18578i | 0.201593 | + | 0.377154i | 0.962321 | − | 0.271917i | \(-0.0876578\pi\) |
−0.760728 | + | 0.649071i | \(0.775158\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 6.51338 | − | 15.7247i | 0.395660 | − | 0.955207i | −0.593023 | − | 0.805185i | \(-0.702066\pi\) |
0.988683 | − | 0.150021i | \(-0.0479342\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −9.85675 | − | 23.7963i | −0.596558 | − | 1.44022i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −3.07550 | + | 10.1386i | −0.185459 | + | 0.611378i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 2.17255 | + | 0.213978i | 0.130536 | + | 0.0128567i | 0.163074 | − | 0.986614i | \(-0.447859\pi\) |
−0.0325381 | + | 0.999470i | \(0.510359\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 26.0015 | + | 17.3737i | 1.55667 | + | 1.04013i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 8.44049 | + | 12.6321i | 0.503517 | + | 0.753567i | 0.992958 | − | 0.118470i | \(-0.0377989\pi\) |
−0.489440 | + | 0.872037i | \(0.662799\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −1.79122 | − | 5.90485i | −0.106477 | − | 0.351007i | 0.887471 | − | 0.460864i | \(-0.152461\pi\) |
−0.993947 | + | 0.109858i | \(0.964961\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −1.93555 | − | 1.58846i | −0.114652 | − | 0.0940924i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 6.35155 | + | 6.35155i | 0.374920 | + | 0.374920i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 11.3639 | − | 11.3639i | 0.668466 | − | 0.668466i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −27.8707 | + | 33.9605i | −1.63381 | + | 1.99080i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −17.0941 | + | 5.18545i | −0.998650 | + | 0.302937i | −0.746959 | − | 0.664870i | \(-0.768487\pi\) |
−0.251691 | + | 0.967808i | \(0.580987\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 6.94326 | − | 4.63934i | 0.404252 | − | 0.270113i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 40.8192 | − | 61.0902i | 2.36857 | − | 3.54481i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −0.142120 | + | 1.44296i | −0.00821899 | + | 0.0834488i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −4.99645 | − | 1.51566i | −0.287991 | − | 0.0873610i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −39.1704 | + | 16.2249i | −2.25028 | + | 0.932096i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 6.09007 | + | 2.52259i | 0.348716 | + | 0.144443i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 29.1953 | − | 15.6052i | 1.66627 | − | 0.890638i | 0.678518 | − | 0.734584i | \(-0.262623\pi\) |
0.987749 | − | 0.156054i | \(-0.0498774\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0.137731 | − | 0.113033i | 0.00783525 | − | 0.00643023i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 1.45080 | + | 7.29367i | 0.0822674 | + | 0.413586i | 0.999871 | + | 0.0160885i | \(0.00512136\pi\) |
−0.917603 | + | 0.397498i | \(0.869879\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −6.64758 | − | 1.32229i | −0.375743 | − | 0.0747400i | 0.00360599 | − | 0.999993i | \(-0.498852\pi\) |
−0.379349 | + | 0.925253i | \(0.623852\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 9.36568 | − | 17.5220i | 0.527697 | − | 0.987251i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −20.6716 | + | 2.03597i | −1.16103 | + | 0.114351i | −0.660128 | − | 0.751153i | \(-0.729498\pi\) |
−0.500902 | + | 0.865504i | \(0.666998\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | − | 11.3208i | − | 0.633843i | ||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 28.7663i | 1.60558i | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −0.435521 | + | 0.0428951i | −0.0242331 | + | 0.00238675i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −5.06694 | + | 9.47957i | −0.281063 | + | 0.525832i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −36.2204 | − | 7.20468i | −2.00299 | − | 0.398420i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −0.875444 | − | 4.40116i | −0.0482648 | − | 0.242644i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −20.5553 | + | 16.8693i | −1.12982 | + | 0.927220i | −0.997947 | − | 0.0640459i | \(-0.979600\pi\) |
−0.131874 | + | 0.991266i | \(0.542100\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −60.1839 | + | 32.1689i | −3.29806 | + | 1.76285i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 10.7565 | + | 4.45547i | 0.587688 | + | 0.243428i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 2.43935 | − | 1.01041i | 0.132880 | − | 0.0550406i | −0.315253 | − | 0.949008i | \(-0.602089\pi\) |
0.448133 | + | 0.893967i | \(0.352089\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −19.9099 | − | 6.03960i | −1.08136 | − | 0.328026i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −2.05645 | + | 20.8794i | −0.111363 | + | 1.13069i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −10.0100 | + | 14.9810i | −0.540488 | + | 0.808897i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −1.30175 | + | 0.869804i | −0.0700841 | + | 0.0468287i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −18.4658 | + | 5.60153i | −0.991295 | + | 0.300706i | −0.743960 | − | 0.668224i | \(-0.767055\pi\) |
−0.247335 | + | 0.968930i | \(0.579555\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −3.73575 | + | 4.55203i | −0.199970 | + | 0.243664i | −0.863334 | − | 0.504632i | \(-0.831628\pi\) |
0.663364 | + | 0.748297i | \(0.269128\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 52.7082 | − | 52.7082i | 2.81335 | − | 2.81335i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −2.71466 | − | 2.71466i | −0.144487 | − | 0.144487i | 0.631163 | − | 0.775650i | \(-0.282578\pi\) |
−0.775650 | + | 0.631163i | \(0.782578\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 16.8185 | + | 13.8026i | 0.892632 | + | 0.732565i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −1.41103 | − | 4.65154i | −0.0746796 | − | 0.246186i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 4.65855 | + | 6.97201i | 0.245869 | + | 0.367969i | 0.933793 | − | 0.357814i | \(-0.116478\pi\) |
−0.687924 | + | 0.725783i | \(0.741478\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 15.6265 | + | 10.4413i | 0.822448 | + | 0.549542i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 46.2571 | + | 4.55592i | 2.42787 | + | 0.239124i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −4.09567 | + | 13.5016i | −0.214377 | + | 0.706708i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −1.34286 | − | 3.24194i | −0.0700966 | − | 0.169228i | 0.884948 | − | 0.465689i | \(-0.154194\pi\) |
−0.955045 | + | 0.296461i | \(0.904194\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −16.5749 | + | 40.0154i | −0.862855 | + | 2.08312i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −4.27606 | − | 7.99995i | −0.222002 | − | 0.415336i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −17.3678 | − | 21.1627i | −0.899270 | − | 1.09576i | −0.994952 | − | 0.100352i | \(-0.968003\pi\) |
0.0956819 | − | 0.995412i | \(-0.469497\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −38.4267 | + | 7.64354i | −1.98434 | + | 0.394711i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 2.24068 | − | 11.2647i | 0.115401 | − | 0.580161i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −1.51536 | − | 0.809979i | −0.0778390 | − | 0.0416058i | 0.432018 | − | 0.901865i | \(-0.357802\pi\) |
−0.509857 | + | 0.860259i | \(0.670302\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −1.18559 | − | 12.0375i | −0.0607394 | − | 0.616698i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 28.6199 | 1.46241 | 0.731204 | − | 0.682159i | \(-0.238959\pi\) | ||||
0.731204 | + | 0.682159i | \(0.238959\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 13.3295 | 0.679337 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −2.46772 | − | 25.0552i | −0.125441 | − | 1.27363i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 16.0060 | + | 8.55539i | 0.811537 | + | 0.433775i | 0.824307 | − | 0.566143i | \(-0.191565\pi\) |
−0.0127704 | + | 0.999918i | \(0.504065\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.0533833 | + | 0.268376i | −0.00269971 | + | 0.0135724i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −9.44767 | + | 1.87926i | −0.476572 | + | 0.0947961i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 9.48805 | + | 11.5612i | 0.477396 | + | 0.581708i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 2.64522 | + | 4.94887i | 0.132760 | + | 0.248376i | 0.939514 | − | 0.342511i | \(-0.111278\pi\) |
−0.806754 | + | 0.590888i | \(0.798778\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0.876285 | − | 2.11554i | 0.0438691 | − | 0.105909i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 7.37348 | + | 17.8012i | 0.368214 | + | 0.888947i | 0.994043 | + | 0.108987i | \(0.0347607\pi\) |
−0.625829 | + | 0.779960i | \(0.715239\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −6.17884 | + | 20.3689i | −0.307790 | + | 1.01465i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 41.9805 | + | 4.13472i | 2.08603 | + | 0.205456i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −38.0679 | − | 25.4362i | −1.88696 | − | 1.26082i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 20.5780 | + | 30.7971i | 1.01752 | + | 1.52282i | 0.842820 | + | 0.538196i | \(0.180894\pi\) |
0.174695 | + | 0.984623i | \(0.444106\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 13.8047 | + | 45.5080i | 0.680936 | + | 2.24474i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 5.90323 | + | 4.84466i | 0.290479 | + | 0.238390i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 1.06860 | + | 1.06860i | 0.0524557 | + | 0.0524557i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −39.4833 | + | 39.4833i | −1.93350 | + | 1.93350i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 13.8228 | − | 16.8432i | 0.675290 | − | 0.822843i | −0.316784 | − | 0.948498i | \(-0.602603\pi\) |
0.992074 | + | 0.125655i | \(0.0401032\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 12.9052 | − | 3.91476i | 0.628963 | − | 0.190794i | 0.0403199 | − | 0.999187i | \(-0.487162\pi\) |
0.588643 | + | 0.808393i | \(0.299662\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 17.9910 | − | 12.0212i | 0.874753 | − | 0.584492i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −1.12698 | + | 1.68664i | −0.0546665 | + | 0.0818142i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −0.590876 | + | 5.99927i | −0.0285945 | + | 0.290325i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 79.7367 | + | 24.1879i | 3.84972 | + | 1.16780i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 0.826940 | − | 0.342530i | 0.0398323 | − | 0.0164991i | −0.362678 | − | 0.931914i | \(-0.618138\pi\) |
0.402511 | + | 0.915415i | \(0.368138\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 7.72303 | + | 3.19898i | 0.371145 | + | 0.153733i | 0.560457 | − | 0.828184i | \(-0.310626\pi\) |
−0.189312 | + | 0.981917i | \(0.560626\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 10.9372 | − | 5.84605i | 0.524398 | − | 0.280296i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −0.0996435 | + | 0.0817753i | −0.00476659 | + | 0.00391184i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −1.33554 | − | 6.71421i | −0.0637418 | − | 0.320452i | 0.935738 | − | 0.352695i | \(-0.114735\pi\) |
−0.999480 | + | 0.0322435i | \(0.989735\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −33.6943 | − | 6.70221i | −1.60449 | − | 0.319153i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 16.7447 | − | 31.3272i | 0.795567 | − | 1.48840i | −0.0754516 | − | 0.997149i | \(-0.524040\pi\) |
0.871018 | − | 0.491251i | \(-0.163460\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −5.91284 | + | 0.582364i | −0.280295 | + | 0.0276067i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 51.4412i | 2.43309i | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | − | 12.5022i | − | 0.590014i | −0.955495 | − | 0.295007i | \(-0.904678\pi\) | ||
0.955495 | − | 0.295007i | \(-0.0953220\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −28.9186 | + | 2.84824i | −1.36172 | + | 0.134118i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 30.3097 | − | 56.7054i | 1.42407 | − | 2.66425i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 13.2635 | + | 2.63827i | 0.621801 | + | 0.123684i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 0.0109008 | + | 0.0548023i | 0.000509920 | + | 0.00256354i | 0.981039 | − | 0.193808i | \(-0.0620840\pi\) |
−0.980529 | + | 0.196372i | \(0.937084\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 10.8742 | − | 8.92421i | 0.507563 | − | 0.416546i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 35.0759 | − | 18.7485i | 1.63365 | − | 0.873203i | 0.639076 | − | 0.769144i | \(-0.279317\pi\) |
0.994571 | − | 0.104059i | \(-0.0331830\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −31.7740 | − | 13.1612i | −1.47666 | − | 0.611653i | −0.508295 | − | 0.861183i | \(-0.669724\pi\) |
−0.968367 | + | 0.249530i | \(0.919724\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −21.2339 | + | 8.79535i | −0.984697 | + | 0.407875i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −29.7366 | − | 9.02051i | −1.37605 | − | 0.417419i | −0.486268 | − | 0.873810i | \(-0.661642\pi\) |
−0.889780 | + | 0.456390i | \(0.849142\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −1.04362 | + | 10.5961i | −0.0481900 | + | 0.489282i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 43.4920 | − | 65.0904i | 2.00401 | − | 2.99921i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 14.0444 | − | 9.38415i | 0.645761 | − | 0.431484i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.914440 | + | 0.277392i | −0.0419574 | + | 0.0127276i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 27.7480 | − | 33.8111i | 1.27050 | − | 1.54810i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −10.8301 | + | 10.8301i | −0.494840 | + | 0.494840i | −0.909827 | − | 0.414988i | \(-0.863786\pi\) |
0.414988 | + | 0.909827i | \(0.363786\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −32.8447 | − | 32.8447i | −1.49759 | − | 1.49759i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −1.10676 | − | 0.908298i | −0.0503595 | − | 0.0413290i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −6.69579 | − | 22.0731i | −0.304040 | − | 1.00229i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 7.32864 | + | 10.9681i | 0.332092 | + | 0.497012i | 0.959511 | − | 0.281671i | \(-0.0908885\pi\) |
−0.627419 | + | 0.778682i | \(0.715889\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −38.9372 | − | 26.0170i | −1.76080 | − | 1.17653i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 11.2709 | + | 1.11008i | 0.508647 | + | 0.0500974i | 0.349086 | − | 0.937091i | \(-0.386492\pi\) |
0.159561 | + | 0.987188i | \(0.448992\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0.629198 | − | 2.07419i | 0.0283376 | − | 0.0934167i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 24.5964 | + | 59.3810i | 1.10553 | + | 2.66898i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −7.61427 | + | 18.3825i | −0.341547 | + | 0.824567i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 10.2332 | + | 19.1450i | 0.458102 | + | 0.857048i | 0.999864 | + | 0.0165160i | \(0.00525744\pi\) |
−0.541762 | + | 0.840532i | \(0.682243\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −18.8041 | − | 22.9129i | −0.840106 | − | 1.02367i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 7.24137 | − | 1.44040i | 0.322877 | − | 0.0642242i | −0.0309910 | − | 0.999520i | \(-0.509866\pi\) |
0.353868 | + | 0.935295i | \(0.384866\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 4.34277 | − | 21.8326i | 0.193251 | − | 0.971538i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 37.3972 | + | 19.9892i | 1.66087 | + | 0.887752i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 3.84741 | + | 39.0634i | 0.170534 | + | 1.73146i | 0.576090 | + | 0.817386i | \(0.304578\pi\) |
−0.405556 | + | 0.914070i | \(0.632922\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −12.9029 | −0.570792 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 6.62681 | 0.292581 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 0.00916934 | + | 0.0930978i | 0.000404049 | + | 0.00410238i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 12.8027 | + | 6.84319i | 0.563062 | + | 0.300963i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −0.206434 | + | 1.03782i | −0.00906146 | + | 0.0455550i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 40.4270 | − | 8.04143i | 1.77114 | − | 0.352301i | 0.801717 | − | 0.597704i | \(-0.203920\pi\) |
0.969421 | + | 0.245403i | \(0.0789203\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 4.77315 | + | 5.81611i | 0.208715 | + | 0.254321i | 0.866838 | − | 0.498591i | \(-0.166149\pi\) |
−0.658122 | + | 0.752911i | \(0.728649\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −5.00338 | − | 9.36067i | −0.218365 | − | 0.408533i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −1.53724 | + | 3.71122i | −0.0669631 | + | 0.161663i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −8.77088 | − | 21.1748i | −0.381342 | − | 0.920642i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −10.6892 | + | 35.2376i | −0.463872 | + | 1.52918i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −29.3390 | − | 2.88964i | −1.27081 | − | 0.125164i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −12.5580 | − | 8.39097i | −0.542928 | − | 0.362773i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 8.14149 | + | 12.1846i | 0.351331 | + | 0.525804i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −6.69066 | − | 22.0561i | −0.288187 | − | 0.950025i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −19.1837 | − | 15.7437i | −0.824771 | − | 0.676872i | 0.124192 | − | 0.992258i | \(-0.460366\pi\) |
−0.948964 | + | 0.315386i | \(0.897866\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −23.1243 | − | 23.1243i | −0.992357 | − | 0.992357i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 13.7105 | − | 13.7105i | 0.587293 | − | 0.587293i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 4.13199 | − | 5.03485i | 0.176671 | − | 0.215274i | −0.677144 | − | 0.735850i | \(-0.736783\pi\) |
0.853815 | + | 0.520576i | \(0.174283\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −27.8161 | + | 8.43791i | −1.18716 | + | 0.360121i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 0.848991 | − | 0.567278i | 0.0361682 | − | 0.0241668i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −7.59879 | + | 11.3724i | −0.323134 | + | 0.483604i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 4.91601 | − | 49.9131i | 0.208673 | − | 2.11869i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −4.02846 | − | 1.22202i | −0.170691 | − | 0.0517787i | 0.203782 | − | 0.979016i | \(-0.434677\pi\) |
−0.374474 | + | 0.927238i | \(0.622177\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 15.8321 | − | 6.55788i | 0.669627 | − | 0.277369i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 14.5280 | + | 6.01771i | 0.613374 | + | 0.254068i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 11.8922 | − | 6.35649i | 0.501194 | − | 0.267894i | −0.201369 | − | 0.979516i | \(-0.564539\pi\) |
0.702563 | + | 0.711622i | \(0.252039\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 8.44420 | − | 6.92998i | 0.355250 | − | 0.291546i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 7.52605 | + | 37.8360i | 0.316064 | + | 1.58896i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −22.0718 | − | 4.39036i | −0.925299 | − | 0.184053i | −0.290628 | − | 0.956836i | \(-0.593864\pi\) |
−0.634671 | + | 0.772783i | \(0.718864\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −2.20350 | + | 4.12245i | −0.0922135 | + | 0.172519i | −0.923799 | − | 0.382877i | \(-0.874933\pi\) |
0.831586 | + | 0.555396i | \(0.187433\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 87.5161 | − | 8.61958i | 3.65604 | − | 0.360088i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0.597495i | 0.0249173i | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 24.9065i | 1.03687i | 0.855117 | + | 0.518436i | \(0.173486\pi\) | ||||
−0.855117 | + | 0.518436i | \(0.826514\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 5.13661 | − | 0.505912i | 0.213470 | − | 0.0210250i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −0.651487 | + | 1.21885i | −0.0270282 | + | 0.0505662i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 28.7813 | + | 5.72495i | 1.19200 | + | 0.237103i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 12.7214 | + | 63.9549i | 0.525966 | + | 2.64421i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −7.87127 | + | 6.45979i | −0.324882 | + | 0.266624i | −0.782669 | − | 0.622438i | \(-0.786142\pi\) |
0.457787 | + | 0.889062i | \(0.348642\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −1.66888 | + | 0.892033i | −0.0687649 | + | 0.0367556i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 31.4160 | + | 13.0129i | 1.29228 | + | 0.535281i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 4.64451 | − | 1.92382i | 0.190727 | − | 0.0790018i | −0.285276 | − | 0.958446i | \(-0.592085\pi\) |
0.476003 | + | 0.879444i | \(0.342085\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 2.44223 | + | 0.740841i | 0.100122 | + | 0.0303715i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 0.970993 | − | 9.85865i | 0.0397401 | − | 0.403488i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 9.29735 | − | 13.9145i | 0.379879 | − | 0.568530i | −0.591428 | − | 0.806358i | \(-0.701436\pi\) |
0.971307 | + | 0.237828i | \(0.0764355\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −5.77189 | + | 3.85666i | −0.235441 | + | 0.157316i | −0.667694 | − | 0.744436i | \(-0.732719\pi\) |
0.432254 | + | 0.901752i | \(0.357719\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −49.1296 | + | 14.9033i | −2.00071 | + | 0.606909i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −15.4818 | + | 18.8646i | −0.629425 | + | 0.766957i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −21.1708 | + | 21.1708i | −0.859297 | + | 0.859297i | −0.991255 | − | 0.131958i | \(-0.957874\pi\) |
0.131958 | + | 0.991255i | \(0.457874\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 8.01952 | + | 8.01952i | 0.324967 | + | 0.324967i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 11.3848 | + | 9.34325i | 0.460579 | + | 0.377988i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 9.88141 | + | 32.5747i | 0.399107 | + | 1.31568i | 0.894523 | + | 0.447022i | \(0.147516\pi\) |
−0.495416 | + | 0.868656i | \(0.664984\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −17.6852 | − | 26.4678i | −0.713138 | − | 1.06729i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 29.3377 | + | 19.6028i | 1.18109 | + | 0.789180i | 0.981643 | − | 0.190729i | \(-0.0610851\pi\) |
0.199448 | + | 0.979908i | \(0.436085\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −3.10600 | − | 0.305914i | −0.124841 | − | 0.0122957i | 0.0354039 | − | 0.999373i | \(-0.488728\pi\) |
−0.160244 | + | 0.987077i | \(0.551228\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 1.20280 | − | 3.96510i | 0.0482666 | − | 0.159114i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −2.07931 | − | 5.01990i | −0.0833058 | − | 0.201118i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 3.84505 | − | 9.28278i | 0.153802 | − | 0.371311i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 3.49198 | + | 6.53303i | 0.139456 | + | 0.260904i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −5.56105 | − | 6.77616i | −0.221734 | − | 0.270183i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 9.23405 | − | 1.83677i | 0.367602 | − | 0.0731205i | −0.00783313 | − | 0.999969i | \(-0.502493\pi\) |
0.375435 | + | 0.926849i | \(0.377493\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 11.3918 | − | 57.2705i | 0.452784 | − | 2.27630i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 5.60080 | + | 2.99369i | 0.222261 | + | 0.118801i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −2.29200 | − | 23.2710i | −0.0908123 | − | 0.922033i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −95.9413 | −3.79538 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −27.4239 | −1.08318 | −0.541589 | − | 0.840644i | \(-0.682177\pi\) | ||||
−0.541589 | + | 0.840644i | \(0.682177\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 2.96417 | + | 30.0958i | 0.116896 | + | 1.18686i | 0.857343 | + | 0.514746i | \(0.172114\pi\) |
−0.740447 | + | 0.672115i | \(0.765386\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 16.3186 | + | 8.72250i | 0.642546 | + | 0.343448i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −0.229068 | + | 1.15160i | −0.00900561 | + | 0.0452742i | −0.985027 | − | 0.172401i | \(-0.944847\pi\) |
0.976021 | + | 0.217675i | \(0.0698474\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −24.2302 | + | 4.81969i | −0.951119 | + | 0.189189i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −13.3340 | − | 16.2475i | −0.522600 | − | 0.636789i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 2.84846 | + | 5.32910i | 0.111469 | + | 0.208544i | 0.931470 | − | 0.363818i | \(-0.118527\pi\) |
−0.820001 | + | 0.572362i | \(0.806027\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 1.93544 | − | 4.67256i | 0.0756239 | − | 0.182572i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −23.8092 | − | 57.4805i | −0.928886 | − | 2.24253i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −13.3882 | + | 44.1349i | −0.521530 | + | 1.71925i | 0.159684 | + | 0.987168i | \(0.448953\pi\) |
−0.681213 | + | 0.732085i | \(0.738547\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −17.6719 | − | 1.74053i | −0.687358 | − | 0.0676988i | −0.251692 | − | 0.967807i | \(-0.580987\pi\) |
−0.435666 | + | 0.900109i | \(0.643487\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 13.2649 | + | 8.86335i | 0.515168 | + | 0.344224i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0.667934 | + | 0.999634i | 0.0259014 | + | 0.0387642i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −0.185330 | − | 0.610950i | −0.00717599 | − | 0.0236561i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 37.5794 | + | 30.8406i | 1.45290 | + | 1.19237i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −13.7898 | − | 13.7898i | −0.532350 | − | 0.532350i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 23.9537 | − | 23.9537i | 0.923348 | − | 0.923348i | −0.0739160 | − | 0.997264i | \(-0.523550\pi\) |
0.997264 | + | 0.0739160i | \(0.0235497\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 19.4865 | − | 23.7444i | 0.750037 | − | 0.913922i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −15.7200 | + | 4.76862i | −0.604170 | + | 0.183273i | −0.577526 | − | 0.816372i | \(-0.695982\pi\) |
−0.0266435 | + | 0.999645i | \(0.508482\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 17.5393 | − | 11.7194i | 0.673096 | − | 0.449748i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −47.4945 | + | 71.0806i | −1.81999 | + | 2.72381i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 1.86554 | − | 18.9411i | 0.0713827 | − | 0.724761i | −0.891171 | − | 0.453668i | \(-0.850115\pi\) |
0.962553 | − | 0.271093i | \(-0.0873850\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −23.8933 | − | 7.24796i | −0.912917 | − | 0.276930i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 44.9646 | − | 18.6250i | 1.71551 | − | 0.710587i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 27.5055 | + | 11.3931i | 1.04788 | + | 0.434044i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 20.9845 | − | 11.2165i | 0.798290 | − | 0.426695i | −0.0212095 | − | 0.999775i | \(-0.506752\pi\) |
0.819499 | + | 0.573080i | \(0.194252\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −45.4365 | + | 37.2888i | −1.72599 | + | 1.41648i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −5.71943 | − | 28.7535i | −0.216950 | − | 1.09068i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −5.45674 | − | 1.08541i | −0.206689 | − | 0.0411130i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −20.0413 | + | 37.4947i | −0.758032 | + | 1.41818i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −37.3433 | + | 3.67799i | −1.41044 | + | 0.138916i | −0.774377 | − | 0.632725i | \(-0.781937\pi\) |
−0.636059 | + | 0.771640i | \(0.719437\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 4.12945i | − | 0.155745i | ||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 15.9027i | 0.598930i | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 20.2592 | − | 1.99536i | 0.761926 | − | 0.0750432i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −0.487908 | + | 0.912812i | −0.0183238 | + | 0.0342814i | −0.890917 | − | 0.454167i | \(-0.849937\pi\) |
0.872593 | + | 0.488448i | \(0.162437\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −64.6839 | − | 12.8664i | −2.42584 | − | 0.482529i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 0.230831 | + | 1.16047i | 0.00864469 | + | 0.0434598i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −33.8180 | + | 27.7537i | −1.26472 | + | 1.03793i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −44.2231 | + | 23.6377i | −1.65154 | + | 0.882768i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 5.59288 | + | 2.31665i | 0.208579 | + | 0.0863963i | 0.484527 | − | 0.874776i | \(-0.338992\pi\) |
−0.275948 | + | 0.961173i | \(0.588992\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −0.0790385 | + | 0.0327388i | −0.00294355 | + | 0.00121926i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −8.23706 | − | 2.49868i | −0.306339 | − | 0.0929270i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 0.463906 | − | 4.71012i | 0.0172290 | − | 0.174929i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −19.0684 | + | 28.5378i | −0.707206 | + | 1.05841i | 0.287712 | + | 0.957717i | \(0.407106\pi\) |
−0.994918 | + | 0.100692i | \(0.967894\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −36.6778 | + | 24.5073i | −1.35844 | + | 0.907680i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 3.09476 | − | 0.938784i | 0.114464 | − | 0.0347222i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 28.7676 | − | 35.0534i | 1.06256 | − | 1.29473i | 0.108826 | − | 0.994061i | \(-0.465291\pi\) |
0.953729 | − | 0.300667i | \(-0.0972092\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 17.8537 | − | 17.8537i | 0.658543 | − | 0.658543i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −24.3560 | − | 24.3560i | −0.897164 | − | 0.897164i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −25.9216 | − | 21.2733i | −0.953541 | − | 0.782551i | 0.0225873 | − | 0.999745i | \(-0.492810\pi\) |
−0.976129 | + | 0.217194i | \(0.930310\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 2.18161 | + | 7.19180i | 0.0801434 | + | 0.264197i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −5.69033 | − | 8.51618i | −0.208758 | − | 0.312428i | 0.712284 | − | 0.701891i | \(-0.247661\pi\) |
−0.921042 | + | 0.389463i | \(0.872661\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −22.4567 | − | 15.0051i | −0.822751 | − | 0.549745i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −6.63192 | − | 0.653187i | −0.242649 | − | 0.0238989i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 4.00945 | − | 13.2174i | 0.146502 | − | 0.482952i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −14.5426 | − | 35.1089i | −0.530667 | − | 1.28114i | −0.931082 | − | 0.364809i | \(-0.881134\pi\) |
0.400416 | − | 0.916334i | \(-0.368866\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −3.36074 | + | 8.11355i | −0.122472 | + | 0.295674i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 15.9137 | + | 29.7724i | 0.579157 | + | 1.08353i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 24.3204 | + | 29.6345i | 0.883940 | + | 1.07708i | 0.996513 | + | 0.0834409i | \(0.0265910\pi\) |
−0.112572 | + | 0.993644i | \(0.535909\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 4.54279 | − | 0.903618i | 0.164893 | − | 0.0327992i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 3.24170 | − | 16.2971i | 0.117512 | − | 0.590770i | −0.876491 | − | 0.481417i | \(-0.840122\pi\) |
0.994003 | − | 0.109353i | \(-0.0348779\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 15.6381 | + | 8.35876i | 0.566139 | + | 0.302607i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 1.20620 | + | 12.2468i | 0.0436103 | + | 0.442783i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −25.0640 | −0.905010 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 16.4374 | 0.592747 | 0.296374 | − | 0.955072i | \(-0.404223\pi\) | ||||
0.296374 | + | 0.955072i | \(0.404223\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 1.02362 | + | 10.3930i | 0.0368649 | + | 0.374295i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −1.01004 | − | 0.539876i | −0.0363285 | − | 0.0194180i | 0.453132 | − | 0.891443i | \(-0.350306\pi\) |
−0.489461 | + | 0.872025i | \(0.662806\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −1.71120 | + | 8.60280i | −0.0614682 | + | 0.309022i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 44.9855 | − | 8.94817i | 1.61385 | − | 0.321014i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −1.66269 | − | 2.02600i | −0.0595721 | − | 0.0725888i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −30.3427 | − | 56.7672i | −1.08575 | − | 2.03129i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −12.5603 | + | 30.3234i | −0.448870 | + | 1.08367i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 15.7289 | + | 37.9730i | 0.561390 | + | 1.35531i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 7.49741 | − | 24.7156i | 0.267254 | − | 0.881017i | −0.715895 | − | 0.698208i | \(-0.753981\pi\) |
0.983148 | − | 0.182809i | \(-0.0585191\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −10.3641 | − | 1.02078i | −0.368973 | − | 0.0363406i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 8.30629 | + | 5.55008i | 0.295338 | + | 0.197338i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −10.9921 | − | 16.4508i | −0.390340 | − | 0.584186i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 9.33166 | + | 30.7624i | 0.330960 | + | 1.09103i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 18.8667 | + | 15.4835i | 0.668293 | + | 0.548454i | 0.906208 | − | 0.422832i | \(-0.138964\pi\) |
−0.237915 | + | 0.971286i | \(0.576464\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 1.96536 | + | 1.96536i | 0.0695295 | + | 0.0695295i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 18.5260 | − | 18.5260i | 0.654583 | − | 0.654583i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 26.4805 | − | 32.2666i | 0.934477 | − | 1.13866i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.719356 | − | 0.218214i | 0.0253540 | − | 0.00769104i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 18.9006 | − | 12.6290i | 0.665333 | − | 0.444561i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 8.01149 | − | 11.9900i | 0.281669 | − | 0.421547i | −0.663476 | − | 0.748197i | \(-0.730920\pi\) |
0.945145 | + | 0.326650i | \(0.105920\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 4.33909 | − | 44.0555i | 0.152366 | − | 1.54700i | −0.549989 | − | 0.835172i | \(-0.685368\pi\) |
0.702355 | − | 0.711827i | \(-0.252132\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −52.7857 | − | 16.0124i | −1.85128 | − | 0.561578i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 22.7155 | − | 9.40908i | 0.795690 | − | 0.329586i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 1.40751 | + | 0.583009i | 0.0492425 | + | 0.0203969i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −52.5917 | + | 28.1108i | −1.83770 | + | 0.982272i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −38.2650 | + | 31.4033i | −1.33546 | + | 1.09598i | −0.348102 | + | 0.937457i | \(0.613174\pi\) |
−0.987355 | + | 0.158524i | \(0.949326\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 0.346033 | + | 1.73963i | 0.0120620 | + | 0.0606396i | 0.986348 | − | 0.164677i | \(-0.0526583\pi\) |
−0.974286 | + | 0.225317i | \(0.927658\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 33.6767 | + | 6.69872i | 1.17247 | + | 0.233219i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −2.72781 | + | 5.10338i | −0.0948554 | + | 0.177462i | −0.924874 | − | 0.380274i | \(-0.875830\pi\) |
0.830019 | + | 0.557736i | \(0.188330\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −48.1702 | + | 4.74435i | −1.67302 | + | 0.164778i | −0.889608 | − | 0.456725i | \(-0.849022\pi\) |
−0.783412 | + | 0.621503i | \(0.786522\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | − | 7.07509i | − | 0.245432i | ||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | − | 4.41296i | − | 0.152900i | ||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 15.4877 | − | 1.52541i | 0.535974 | − | 0.0527889i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 28.6739 | − | 53.6451i | 0.991114 | − | 1.85424i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 33.8442 | + | 6.73204i | 1.16843 | + | 0.232416i | 0.740920 | − | 0.671594i | \(-0.234390\pi\) |
0.427513 | + | 0.904009i | \(0.359390\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −4.67100 | − | 23.4827i | −0.161069 | − | 0.809748i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 38.0609 | − | 31.2358i | 1.31089 | − | 1.07582i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −19.6349 | + | 10.4951i | −0.675460 | + | 0.361041i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −20.6189 | − | 8.54064i | −0.708475 | − | 0.293460i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −18.4758 | + | 7.65294i | −0.634089 | + | 0.262648i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −2.47082 | − | 0.749515i | −0.0846986 | − | 0.0256930i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 1.16885 | − | 11.8675i | 0.0400206 | − | 0.406336i | −0.954215 | − | 0.299121i | \(-0.903307\pi\) |
0.994236 | − | 0.107215i | \(-0.0341933\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −3.22070 | + | 4.82012i | −0.110146 | + | 0.164845i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 31.0562 | − | 20.7511i | 1.06086 | − | 0.708843i | 0.102594 | − | 0.994723i | \(-0.467286\pi\) |
0.958265 | + | 0.285880i | \(0.0922859\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 32.6742 | − | 9.91162i | 1.11483 | − | 0.338180i | 0.321462 | − | 0.946922i | \(-0.395826\pi\) |
0.793368 | + | 0.608742i | \(0.208326\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 18.4679 | − | 22.5032i | 0.629385 | − | 0.766908i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 25.9455 | − | 25.9455i | 0.883196 | − | 0.883196i | −0.110662 | − | 0.993858i | \(-0.535297\pi\) |
0.993858 | + | 0.110662i | \(0.0352971\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −0.392844 | − | 0.392844i | −0.0133571 | − | 0.0133571i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −40.2618 | − | 33.0420i | −1.36736 | − | 1.12217i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −12.8443 | − | 42.3418i | −0.435712 | − | 1.43635i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −19.4145 | − | 29.0559i | −0.657837 | − | 0.984522i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 84.5723 | + | 56.5094i | 2.86234 | + | 1.91255i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 18.7214 | + | 1.84390i | 0.632900 | + | 0.0623352i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −12.9341 | + | 42.6379i | −0.436752 | + | 1.43978i | 0.412095 | + | 0.911141i | \(0.364797\pi\) |
−0.848847 | + | 0.528638i | \(0.822703\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 22.1547 | + | 53.4863i | 0.747261 | + | 1.80405i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 17.8344 | − | 43.0560i | 0.600856 | − | 1.45059i | −0.271846 | − | 0.962341i | \(-0.587634\pi\) |
0.872702 | − | 0.488254i | \(-0.162366\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −5.94142 | − | 11.1156i | −0.199945 | − | 0.374070i | 0.761888 | − | 0.647709i | \(-0.224273\pi\) |
−0.961833 | + | 0.273639i | \(0.911773\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −17.1688 | − | 20.9203i | −0.577123 | − | 0.703227i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −21.5169 | + | 4.27998i | −0.722467 | + | 0.143708i | −0.542610 | − | 0.839985i | \(-0.682564\pi\) |
−0.179858 | + | 0.983693i | \(0.557564\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −1.13303 | + | 5.69615i | −0.0380008 | + | 0.191043i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −110.063 | − | 58.8297i | −3.68724 | − | 1.97087i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 0.128337 | + | 1.30303i | 0.00429465 | + | 0.0436043i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −7.69403 | −0.257183 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 4.69912 | 0.156899 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −0.918658 | − | 9.32729i | −0.0306390 | − | 0.311083i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 4.95509 | + | 2.64855i | 0.165078 | + | 0.0882361i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −3.30124 | + | 16.5965i | −0.109858 | + | 0.552296i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 16.8401 | − | 3.34971i | 0.559785 | − | 0.111348i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 12.2027 | + | 14.8690i | 0.405183 | + | 0.493717i | 0.935125 | − | 0.354317i | \(-0.115287\pi\) |
−0.529943 | + | 0.848033i | \(0.677787\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 46.2724 | + | 86.5696i | 1.53476 | + | 2.87133i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −2.85891 | + | 6.90203i | −0.0947201 | + | 0.228674i | −0.964137 | − | 0.265404i | \(-0.914495\pi\) |
0.869417 | + | 0.494079i | \(0.164495\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −1.71095 | − | 4.13060i | −0.0566242 | − | 0.136703i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 6.20149 | − | 20.4436i | 0.205015 | − | 0.675844i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 4.60289 | + | 0.453346i | 0.152001 | + | 0.0149708i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −5.42912 | − | 3.62762i | −0.179090 | − | 0.119664i | 0.462794 | − | 0.886466i | \(-0.346847\pi\) |
−0.641884 | + | 0.766802i | \(0.721847\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −59.6057 | − | 89.2062i | −1.96407 | − | 2.93944i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −18.9566 | − | 62.4914i | −0.623963 | − | 2.05693i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −14.7961 | − | 12.1429i | −0.486494 | − | 0.399256i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −0.291692 | − | 0.291692i | −0.00958043 | − | 0.00958043i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 21.4804 | − | 21.4804i | 0.704749 | − | 0.704749i | −0.260677 | − | 0.965426i | \(-0.583946\pi\) |
0.965426 | + | 0.260677i | \(0.0839457\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 1.31881 | − | 1.60698i | 0.0432223 | − | 0.0526665i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 23.0633 | − | 6.99619i | 0.755060 | − | 0.229045i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −6.86478 | + | 4.58690i | −0.224502 | + | 0.150008i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −24.0018 | + | 35.9212i | −0.784105 | + | 1.17350i | 0.197073 | + | 0.980389i | \(0.436856\pi\) |
−0.981178 | + | 0.193107i | \(0.938144\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −2.15306 | + | 21.8604i | −0.0702625 | + | 0.713387i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 41.6972 | + | 12.6487i | 1.35929 | + | 0.412336i | 0.883998 | − | 0.467491i | \(-0.154842\pi\) |
0.475293 | + | 0.879827i | \(0.342342\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −1.51402 | + | 0.627129i | −0.0493034 | + | 0.0204221i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −35.7039 | − | 14.7890i | −1.16145 | − | 0.481087i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −40.3215 | + | 21.5523i | −1.31027 | + | 0.700355i | −0.970716 | − | 0.240230i | \(-0.922777\pi\) |
−0.339557 | + | 0.940586i | \(0.610277\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 32.7356 | − | 26.8654i | 1.06264 | − | 0.872089i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 13.1332 | + | 66.0250i | 0.425873 | + | 2.14101i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −23.1834 | − | 4.61146i | −0.750983 | − | 0.149380i | −0.195265 | − | 0.980751i | \(-0.562557\pi\) |
−0.555718 | + | 0.831371i | \(0.687557\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −21.7651 | + | 40.7196i | −0.704301 | + | 1.31765i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −36.5129 | + | 3.59620i | −1.18029 | + | 0.116249i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | − | 22.8339i | − | 0.737344i | ||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | − | 13.6304i | − | 0.439690i | ||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 66.2797 | − | 6.52798i | 2.13583 | − | 0.210361i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −1.27746 | + | 2.38997i | −0.0411230 | + | 0.0769358i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −26.9786 | − | 5.36638i | −0.867574 | − | 0.172571i | −0.258815 | − | 0.965927i | \(-0.583332\pi\) |
−0.608758 | + | 0.793356i | \(0.708332\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0.276698 | + | 1.39106i | 0.00888883 | + | 0.0446872i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −7.60083 | + | 6.23784i | −0.243922 | + | 0.200182i | −0.748409 | − | 0.663238i | \(-0.769182\pi\) |
0.504487 | + | 0.863420i | \(0.331682\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 23.6447 | − | 12.6384i | 0.758015 | − | 0.405167i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 32.1839 | + | 13.3310i | 1.03071 | + | 0.426934i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −20.2214 | + | 8.37600i | −0.646941 | + | 0.267972i | −0.681932 | − | 0.731416i | \(-0.738860\pi\) |
0.0349904 | + | 0.999388i | \(0.488860\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 16.8207 | + | 5.10250i | 0.537591 | + | 0.163077i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −8.38058 | + | 85.0894i | −0.267571 | + | 2.71670i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −20.6198 | + | 30.8596i | −0.657668 | + | 0.984270i | 0.341349 | + | 0.939937i | \(0.389116\pi\) |
−0.999017 | + | 0.0443331i | \(0.985884\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −14.8447 | + | 9.91890i | −0.472991 | + | 0.316043i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −13.9169 | + | 4.22165i | −0.442980 | + | 0.134376i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 0.604308 | − | 0.736351i | 0.0192159 | − | 0.0234146i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 19.9838 | − | 19.9838i | 0.634807 | − | 0.634807i | −0.314463 | − | 0.949270i | \(-0.601824\pi\) |
0.949270 | + | 0.314463i | \(0.101824\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 60.9380 | + | 60.9380i | 1.93381 | + | 1.93381i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 4.02058 | + | 3.29960i | 0.127461 | + | 0.104604i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 3.73559 | + | 12.3146i | 0.118307 | + | 0.390007i | 0.996015 | − | 0.0891902i | \(-0.0284279\pi\) |
−0.877707 | + | 0.479197i | \(0.840928\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 73.7456 | + | 110.368i | 2.33321 | + | 3.49189i |
(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 | 512.2.k.a.49.1 | 240 | ||
4.3 | odd | 2 | 128.2.k.a.53.1 | yes | 240 | ||
128.29 | even | 32 | inner | 512.2.k.a.209.1 | 240 | ||
128.99 | odd | 32 | 128.2.k.a.29.1 | ✓ | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
128.2.k.a.29.1 | ✓ | 240 | 128.99 | odd | 32 | ||
128.2.k.a.53.1 | yes | 240 | 4.3 | odd | 2 | ||
512.2.k.a.49.1 | 240 | 1.1 | even | 1 | trivial | ||
512.2.k.a.209.1 | 240 | 128.29 | even | 32 | inner |