Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [195,3,Mod(194,195)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(195, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("195.194");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 195 = 3 \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 195.e (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.31336515503\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 194.20 | ||
Character | \(\chi\) | \(=\) | 195.194 |
Dual form | 195.3.e.f.194.23 |
$q$-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 \(\left(\mathbb{Z}/195\mathbb{Z}\right)^\times\).
\(n\) | \(106\) | \(131\) | \(157\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 0.788299i | − | 0.394149i | −0.980388 | − | 0.197075i | \(-0.936856\pi\) | ||
0.980388 | − | 0.197075i | \(-0.0631441\pi\) | |||||||
\(3\) | 1.53514 | + | 2.57747i | 0.511713 | + | 0.859156i | ||||
\(4\) | 3.37859 | 0.844646 | ||||||||
\(5\) | −1.75492 | − | 4.68191i | −0.350984 | − | 0.936381i | ||||
\(6\) | 2.03182 | − | 1.21015i | 0.338636 | − | 0.201691i | ||||
\(7\) | 10.4924 | 1.49891 | 0.749455 | − | 0.662055i | \(-0.230316\pi\) | ||||
0.749455 | + | 0.662055i | \(0.230316\pi\) | |||||||
\(8\) | − | 5.81653i | − | 0.727066i | ||||||
\(9\) | −4.28669 | + | 7.91355i | −0.476299 | + | 0.879283i | ||||
\(10\) | −3.69074 | + | 1.38340i | −0.369074 | + | 0.138340i | ||||
\(11\) | −3.29821 | −0.299837 | −0.149919 | − | 0.988698i | \(-0.547901\pi\) | ||||
−0.149919 | + | 0.988698i | \(0.547901\pi\) | |||||||
\(12\) | 5.18660 | + | 8.70820i | 0.432217 | + | 0.725683i | ||||
\(13\) | −5.18183 | − | 11.9226i | −0.398602 | − | 0.917124i | ||||
\(14\) | − | 8.27112i | − | 0.590794i | ||||||
\(15\) | 9.37342 | − | 11.7106i | 0.624895 | − | 0.780709i | ||||
\(16\) | 8.92918 | 0.558074 | ||||||||
\(17\) | −5.61565 | −0.330332 | −0.165166 | − | 0.986266i | \(-0.552816\pi\) | ||||
−0.165166 | + | 0.986266i | \(0.552816\pi\) | |||||||
\(18\) | 6.23824 | + | 3.37919i | 0.346569 | + | 0.187733i | ||||
\(19\) | 22.2852i | 1.17290i | 0.809984 | + | 0.586452i | \(0.199476\pi\) | ||||
−0.809984 | + | 0.586452i | \(0.800524\pi\) | |||||||
\(20\) | −5.92915 | − | 15.8182i | −0.296457 | − | 0.790911i | ||||
\(21\) | 16.1073 | + | 27.0438i | 0.767012 | + | 1.28780i | ||||
\(22\) | 2.59998i | 0.118181i | ||||||||
\(23\) | 42.7496 | 1.85868 | 0.929340 | − | 0.369225i | \(-0.120377\pi\) | ||||
0.929340 | + | 0.369225i | \(0.120377\pi\) | |||||||
\(24\) | 14.9919 | − | 8.92919i | 0.624663 | − | 0.372049i | ||||
\(25\) | −18.8405 | + | 16.4327i | −0.753620 | + | 0.657310i | ||||
\(26\) | −9.39858 | + | 4.08483i | −0.361484 | + | 0.157109i | ||||
\(27\) | −26.9776 | + | 1.09959i | −0.999170 | + | 0.0407257i | ||||
\(28\) | 35.4494 | 1.26605 | ||||||||
\(29\) | 29.0498i | 1.00172i | 0.865529 | + | 0.500858i | \(0.166982\pi\) | ||||
−0.865529 | + | 0.500858i | \(0.833018\pi\) | |||||||
\(30\) | −9.23148 | − | 7.38906i | −0.307716 | − | 0.246302i | ||||
\(31\) | − | 24.8148i | − | 0.800479i | −0.916411 | − | 0.400239i | \(-0.868927\pi\) | ||
0.916411 | − | 0.400239i | \(-0.131073\pi\) | |||||||
\(32\) | − | 30.3050i | − | 0.947031i | ||||||
\(33\) | −5.06322 | − | 8.50104i | −0.153431 | − | 0.257607i | ||||
\(34\) | 4.42681i | 0.130200i | ||||||||
\(35\) | −18.4133 | − | 49.1243i | −0.526093 | − | 1.40355i | ||||
\(36\) | −14.4830 | + | 26.7366i | −0.402304 | + | 0.742683i | ||||
\(37\) | −35.6602 | −0.963789 | −0.481895 | − | 0.876229i | \(-0.660051\pi\) | ||||
−0.481895 | + | 0.876229i | \(0.660051\pi\) | |||||||
\(38\) | 17.5674 | 0.462299 | ||||||||
\(39\) | 22.7753 | − | 31.6589i | 0.583983 | − | 0.811766i | ||||
\(40\) | −27.2325 | + | 10.2075i | −0.680811 | + | 0.255189i | ||||
\(41\) | −18.1126 | −0.441770 | −0.220885 | − | 0.975300i | \(-0.570894\pi\) | ||||
−0.220885 | + | 0.975300i | \(0.570894\pi\) | |||||||
\(42\) | 21.3186 | − | 12.6973i | 0.507585 | − | 0.302317i | ||||
\(43\) | − | 21.7412i | − | 0.505609i | −0.967517 | − | 0.252804i | \(-0.918647\pi\) | ||
0.967517 | − | 0.252804i | \(-0.0813529\pi\) | |||||||
\(44\) | −11.1433 | −0.253257 | ||||||||
\(45\) | 44.5733 | + | 6.18224i | 0.990518 | + | 0.137383i | ||||
\(46\) | − | 33.6995i | − | 0.732598i | ||||||
\(47\) | 57.8488i | 1.23082i | 0.788205 | + | 0.615412i | \(0.211011\pi\) | ||||
−0.788205 | + | 0.615412i | \(0.788989\pi\) | |||||||
\(48\) | 13.7075 | + | 23.0147i | 0.285574 | + | 0.479472i | ||||
\(49\) | 61.0898 | 1.24673 | ||||||||
\(50\) | 12.9539 | + | 14.8520i | 0.259078 | + | 0.297039i | ||||
\(51\) | −8.62080 | − | 14.4742i | −0.169035 | − | 0.283807i | ||||
\(52\) | −17.5072 | − | 40.2816i | −0.336678 | − | 0.774645i | ||||
\(53\) | −68.3398 | −1.28943 | −0.644715 | − | 0.764423i | \(-0.723024\pi\) | ||||
−0.644715 | + | 0.764423i | \(0.723024\pi\) | |||||||
\(54\) | 0.866809 | + | 21.2664i | 0.0160520 | + | 0.393822i | ||||
\(55\) | 5.78810 | + | 15.4419i | 0.105238 | + | 0.280762i | ||||
\(56\) | − | 61.0292i | − | 1.08981i | ||||||
\(57\) | −57.4394 | + | 34.2109i | −1.00771 | + | 0.600191i | ||||
\(58\) | 22.8999 | 0.394826 | ||||||||
\(59\) | −96.0118 | −1.62732 | −0.813660 | − | 0.581341i | \(-0.802528\pi\) | ||||
−0.813660 | + | 0.581341i | \(0.802528\pi\) | |||||||
\(60\) | 31.6689 | − | 39.5654i | 0.527815 | − | 0.659423i | ||||
\(61\) | −38.2340 | −0.626787 | −0.313394 | − | 0.949623i | \(-0.601466\pi\) | ||||
−0.313394 | + | 0.949623i | \(0.601466\pi\) | |||||||
\(62\) | −19.5615 | −0.315508 | ||||||||
\(63\) | −44.9776 | + | 83.0319i | −0.713929 | + | 1.31797i | ||||
\(64\) | 11.8273 | 0.184802 | ||||||||
\(65\) | −46.7269 | + | 45.1841i | −0.718875 | + | 0.695139i | ||||
\(66\) | −6.70136 | + | 3.99133i | −0.101536 | + | 0.0604746i | ||||
\(67\) | −3.73101 | −0.0556867 | −0.0278433 | − | 0.999612i | \(-0.508864\pi\) | ||||
−0.0278433 | + | 0.999612i | \(0.508864\pi\) | |||||||
\(68\) | −18.9729 | −0.279014 | ||||||||
\(69\) | 65.6267 | + | 110.186i | 0.951111 | + | 1.59690i | ||||
\(70\) | −38.7246 | + | 14.5152i | −0.553209 | + | 0.207359i | ||||
\(71\) | 42.6346 | 0.600488 | 0.300244 | − | 0.953862i | \(-0.402932\pi\) | ||||
0.300244 | + | 0.953862i | \(0.402932\pi\) | |||||||
\(72\) | 46.0294 | + | 24.9337i | 0.639297 | + | 0.346301i | ||||
\(73\) | −79.7689 | −1.09272 | −0.546362 | − | 0.837549i | \(-0.683988\pi\) | ||||
−0.546362 | + | 0.837549i | \(0.683988\pi\) | |||||||
\(74\) | 28.1109i | 0.379877i | ||||||||
\(75\) | −71.2777 | − | 23.3343i | −0.950369 | − | 0.311124i | ||||
\(76\) | 75.2924i | 0.990689i | ||||||||
\(77\) | −34.6061 | −0.449429 | ||||||||
\(78\) | −24.9566 | − | 17.9538i | −0.319957 | − | 0.230177i | ||||
\(79\) | 61.1362 | 0.773876 | 0.386938 | − | 0.922106i | \(-0.373533\pi\) | ||||
0.386938 | + | 0.922106i | \(0.373533\pi\) | |||||||
\(80\) | −15.6700 | − | 41.8056i | −0.195875 | − | 0.522570i | ||||
\(81\) | −44.2486 | − | 67.8459i | −0.546279 | − | 0.837604i | ||||
\(82\) | 14.2781i | 0.174123i | ||||||||
\(83\) | 34.8501i | 0.419880i | 0.977714 | + | 0.209940i | \(0.0673269\pi\) | ||||
−0.977714 | + | 0.209940i | \(0.932673\pi\) | |||||||
\(84\) | 54.4197 | + | 91.3696i | 0.647854 | + | 1.08773i | ||||
\(85\) | 9.85501 | + | 26.2919i | 0.115941 | + | 0.309317i | ||||
\(86\) | −17.1385 | −0.199285 | ||||||||
\(87\) | −74.8749 | + | 44.5955i | −0.860631 | + | 0.512592i | ||||
\(88\) | 19.1841i | 0.218002i | ||||||||
\(89\) | 20.7742 | 0.233417 | 0.116709 | − | 0.993166i | \(-0.462766\pi\) | ||||
0.116709 | + | 0.993166i | \(0.462766\pi\) | |||||||
\(90\) | 4.87345 | − | 35.1371i | 0.0541495 | − | 0.390412i | ||||
\(91\) | −54.3696 | − | 125.096i | −0.597469 | − | 1.37469i | ||||
\(92\) | 144.433 | 1.56993 | ||||||||
\(93\) | 63.9595 | − | 38.0942i | 0.687736 | − | 0.409616i | ||||
\(94\) | 45.6021 | 0.485129 | ||||||||
\(95\) | 104.337 | − | 39.1087i | 1.09829 | − | 0.411671i | ||||
\(96\) | 78.1101 | − | 46.5224i | 0.813647 | − | 0.484608i | ||||
\(97\) | 93.0425 | 0.959201 | 0.479601 | − | 0.877487i | \(-0.340782\pi\) | ||||
0.479601 | + | 0.877487i | \(0.340782\pi\) | |||||||
\(98\) | − | 48.1571i | − | 0.491398i | ||||||
\(99\) | 14.1384 | − | 26.1006i | 0.142812 | − | 0.263642i | ||||
\(100\) | −63.6543 | + | 55.5194i | −0.636543 | + | 0.555194i | ||||
\(101\) | − | 105.682i | − | 1.04636i | −0.852222 | − | 0.523180i | \(-0.824746\pi\) | ||
0.852222 | − | 0.523180i | \(-0.175254\pi\) | |||||||
\(102\) | −11.4100 | + | 6.79577i | −0.111862 | + | 0.0666252i | ||||
\(103\) | − | 95.6050i | − | 0.928204i | −0.885782 | − | 0.464102i | \(-0.846377\pi\) | ||
0.885782 | − | 0.464102i | \(-0.153623\pi\) | |||||||
\(104\) | −69.3482 | + | 30.1402i | −0.666810 | + | 0.289810i | ||||
\(105\) | 98.3494 | − | 122.872i | 0.936661 | − | 1.17021i | ||||
\(106\) | 53.8722i | 0.508228i | ||||||||
\(107\) | −66.4453 | −0.620984 | −0.310492 | − | 0.950576i | \(-0.600494\pi\) | ||||
−0.310492 | + | 0.950576i | \(0.600494\pi\) | |||||||
\(108\) | −91.1461 | + | 3.71507i | −0.843946 | + | 0.0343988i | ||||
\(109\) | 142.202i | 1.30461i | 0.757958 | + | 0.652304i | \(0.226197\pi\) | ||||
−0.757958 | + | 0.652304i | \(0.773803\pi\) | |||||||
\(110\) | 12.1728 | − | 4.56275i | 0.110662 | − | 0.0414795i | ||||
\(111\) | −54.7434 | − | 91.9131i | −0.493184 | − | 0.828046i | ||||
\(112\) | 93.6882 | 0.836502 | ||||||||
\(113\) | −24.2707 | −0.214785 | −0.107392 | − | 0.994217i | \(-0.534250\pi\) | ||||
−0.107392 | + | 0.994217i | \(0.534250\pi\) | |||||||
\(114\) | 26.9684 | + | 45.2794i | 0.236565 | + | 0.397187i | ||||
\(115\) | −75.0222 | − | 200.150i | −0.652367 | − | 1.74043i | ||||
\(116\) | 98.1471i | 0.846096i | ||||||||
\(117\) | 116.563 | + | 10.1019i | 0.996266 | + | 0.0863412i | ||||
\(118\) | 75.6860i | 0.641407i | ||||||||
\(119\) | −58.9214 | −0.495138 | ||||||||
\(120\) | −68.1152 | − | 54.5208i | −0.567627 | − | 0.454340i | ||||
\(121\) | −110.122 | −0.910098 | ||||||||
\(122\) | 30.1398i | 0.247048i | ||||||||
\(123\) | −27.8053 | − | 46.6845i | −0.226059 | − | 0.379549i | ||||
\(124\) | − | 83.8390i | − | 0.676121i | ||||||
\(125\) | 110.000 | + | 59.3714i | 0.880001 | + | 0.474971i | ||||
\(126\) | 65.4539 | + | 35.4557i | 0.519476 | + | 0.281395i | ||||
\(127\) | − | 115.850i | − | 0.912201i | −0.889928 | − | 0.456101i | \(-0.849246\pi\) | ||
0.889928 | − | 0.456101i | \(-0.150754\pi\) | |||||||
\(128\) | − | 130.543i | − | 1.01987i | ||||||
\(129\) | 56.0372 | − | 33.3757i | 0.434397 | − | 0.258727i | ||||
\(130\) | 35.6185 | + | 36.8347i | 0.273989 | + | 0.283344i | ||||
\(131\) | 94.9511i | 0.724817i | 0.932019 | + | 0.362409i | \(0.118046\pi\) | ||||
−0.932019 | + | 0.362409i | \(0.881954\pi\) | |||||||
\(132\) | −17.1065 | − | 28.7215i | −0.129595 | − | 0.217587i | ||||
\(133\) | 233.824i | 1.75808i | ||||||||
\(134\) | 2.94115i | 0.0219489i | ||||||||
\(135\) | 52.4917 | + | 124.377i | 0.388828 | + | 0.921311i | ||||
\(136\) | 32.6636i | 0.240173i | ||||||||
\(137\) | − | 207.305i | − | 1.51317i | −0.653893 | − | 0.756587i | \(-0.726865\pi\) | ||
0.653893 | − | 0.756587i | \(-0.273135\pi\) | |||||||
\(138\) | 86.8594 | − | 51.7334i | 0.629416 | − | 0.374880i | ||||
\(139\) | 124.336 | 0.894504 | 0.447252 | − | 0.894408i | \(-0.352403\pi\) | ||||
0.447252 | + | 0.894408i | \(0.352403\pi\) | |||||||
\(140\) | −62.2108 | − | 165.971i | −0.444363 | − | 1.18550i | ||||
\(141\) | −149.103 | + | 88.8060i | −1.05747 | + | 0.629829i | ||||
\(142\) | − | 33.6088i | − | 0.236682i | ||||||
\(143\) | 17.0908 | + | 39.3233i | 0.119516 | + | 0.274988i | ||||
\(144\) | −38.2766 | + | 70.6615i | −0.265810 | + | 0.490705i | ||||
\(145\) | 136.008 | − | 50.9800i | 0.937989 | − | 0.351586i | ||||
\(146\) | 62.8817i | 0.430697i | ||||||||
\(147\) | 93.7815 | + | 157.457i | 0.637969 | + | 1.07114i | ||||
\(148\) | −120.481 | −0.814061 | ||||||||
\(149\) | 245.048 | 1.64462 | 0.822309 | − | 0.569042i | \(-0.192686\pi\) | ||||
0.822309 | + | 0.569042i | \(0.192686\pi\) | |||||||
\(150\) | −18.3944 | + | 56.1881i | −0.122629 | + | 0.374588i | ||||
\(151\) | 190.934i | 1.26446i | 0.774780 | + | 0.632231i | \(0.217861\pi\) | ||||
−0.774780 | + | 0.632231i | \(0.782139\pi\) | |||||||
\(152\) | 129.622 | 0.852779 | ||||||||
\(153\) | 24.0725 | − | 44.4397i | 0.157337 | − | 0.290456i | ||||
\(154\) | 27.2799i | 0.177142i | ||||||||
\(155\) | −116.181 | + | 43.5481i | −0.749553 | + | 0.280955i | ||||
\(156\) | 76.9484 | − | 106.962i | 0.493259 | − | 0.685655i | ||||
\(157\) | − | 98.3906i | − | 0.626691i | −0.949639 | − | 0.313346i | \(-0.898550\pi\) | ||
0.949639 | − | 0.313346i | \(-0.101450\pi\) | |||||||
\(158\) | − | 48.1936i | − | 0.305023i | ||||||
\(159\) | −104.911 | − | 176.144i | −0.659818 | − | 1.10782i | ||||
\(160\) | −141.885 | + | 53.1828i | −0.886782 | + | 0.332393i | ||||
\(161\) | 448.545 | 2.78599 | ||||||||
\(162\) | −53.4828 | + | 34.8811i | −0.330141 | + | 0.215315i | ||||
\(163\) | 181.906 | 1.11599 | 0.557995 | − | 0.829845i | \(-0.311571\pi\) | ||||
0.557995 | + | 0.829845i | \(0.311571\pi\) | |||||||
\(164\) | −61.1948 | −0.373139 | ||||||||
\(165\) | −30.9155 | + | 38.6241i | −0.187367 | + | 0.234086i | ||||
\(166\) | 27.4723 | 0.165496 | ||||||||
\(167\) | − | 6.47501i | − | 0.0387725i | −0.999812 | − | 0.0193863i | \(-0.993829\pi\) | ||
0.999812 | − | 0.0193863i | \(-0.00617123\pi\) | |||||||
\(168\) | 157.301 | − | 93.6883i | 0.936314 | − | 0.557669i | ||||
\(169\) | −115.297 | + | 123.562i | −0.682233 | + | 0.731135i | ||||
\(170\) | 20.7259 | − | 7.76869i | 0.121917 | − | 0.0456982i | ||||
\(171\) | −176.355 | − | 95.5297i | −1.03132 | − | 0.558653i | ||||
\(172\) | − | 73.4544i | − | 0.427060i | ||||||
\(173\) | −39.7693 | −0.229881 | −0.114940 | − | 0.993372i | \(-0.536668\pi\) | ||||
−0.114940 | + | 0.993372i | \(0.536668\pi\) | |||||||
\(174\) | 35.1546 | + | 59.0238i | 0.202038 | + | 0.339217i | ||||
\(175\) | −197.682 | + | 172.418i | −1.12961 | + | 0.985248i | ||||
\(176\) | −29.4503 | −0.167331 | ||||||||
\(177\) | −147.392 | − | 247.468i | −0.832721 | − | 1.39812i | ||||
\(178\) | − | 16.3762i | − | 0.0920013i | ||||||
\(179\) | 306.963i | 1.71488i | 0.514586 | + | 0.857438i | \(0.327945\pi\) | ||||
−0.514586 | + | 0.857438i | \(0.672055\pi\) | |||||||
\(180\) | 150.595 | + | 20.8872i | 0.836637 | + | 0.116040i | ||||
\(181\) | 62.3419 | 0.344431 | 0.172215 | − | 0.985059i | \(-0.444908\pi\) | ||||
0.172215 | + | 0.985059i | \(0.444908\pi\) | |||||||
\(182\) | −98.6134 | + | 42.8595i | −0.541832 | + | 0.235492i | ||||
\(183\) | −58.6946 | − | 98.5470i | −0.320735 | − | 0.538508i | ||||
\(184\) | − | 248.655i | − | 1.35138i | ||||||
\(185\) | 62.5808 | + | 166.958i | 0.338275 | + | 0.902475i | ||||
\(186\) | −30.0296 | − | 50.4192i | −0.161450 | − | 0.271071i | ||||
\(187\) | 18.5216 | 0.0990459 | ||||||||
\(188\) | 195.447i | 1.03961i | ||||||||
\(189\) | −283.059 | + | 11.5374i | −1.49767 | + | 0.0610442i | ||||
\(190\) | −30.8293 | − | 82.2488i | −0.162260 | − | 0.432889i | ||||
\(191\) | − | 36.2158i | − | 0.189612i | −0.995496 | − | 0.0948058i | \(-0.969777\pi\) | ||
0.995496 | − | 0.0948058i | \(-0.0302230\pi\) | |||||||
\(192\) | 18.1566 | + | 30.4846i | 0.0945657 | + | 0.158774i | ||||
\(193\) | 141.534 | 0.733335 | 0.366668 | − | 0.930352i | \(-0.380499\pi\) | ||||
0.366668 | + | 0.930352i | \(0.380499\pi\) | |||||||
\(194\) | − | 73.3453i | − | 0.378069i | ||||||
\(195\) | −188.193 | − | 51.0732i | −0.965091 | − | 0.261914i | ||||
\(196\) | 206.397 | 1.05305 | ||||||||
\(197\) | 37.7803i | 0.191778i | 0.995392 | + | 0.0958890i | \(0.0305694\pi\) | ||||
−0.995392 | + | 0.0958890i | \(0.969431\pi\) | |||||||
\(198\) | −20.5750 | − | 11.1453i | −0.103914 | − | 0.0562894i | ||||
\(199\) | 110.575 | 0.555653 | 0.277827 | − | 0.960631i | \(-0.410386\pi\) | ||||
0.277827 | + | 0.960631i | \(0.410386\pi\) | |||||||
\(200\) | 95.5816 | + | 109.586i | 0.477908 | + | 0.547932i | ||||
\(201\) | −5.72762 | − | 9.61655i | −0.0284956 | − | 0.0478435i | ||||
\(202\) | −83.3092 | −0.412422 | ||||||||
\(203\) | 304.801i | 1.50148i | ||||||||
\(204\) | −29.1261 | − | 48.9022i | −0.142775 | − | 0.239716i | ||||
\(205\) | 31.7861 | + | 84.8013i | 0.155054 | + | 0.413665i | ||||
\(206\) | −75.3653 | −0.365851 | ||||||||
\(207\) | −183.254 | + | 338.301i | −0.885287 | + | 1.63431i | ||||
\(208\) | −46.2694 | − | 106.459i | −0.222449 | − | 0.511823i | ||||
\(209\) | − | 73.5012i | − | 0.351681i | ||||||
\(210\) | −96.8601 | − | 77.5287i | −0.461239 | − | 0.369184i | ||||
\(211\) | −34.7057 | −0.164482 | −0.0822410 | − | 0.996612i | \(-0.526208\pi\) | ||||
−0.0822410 | + | 0.996612i | \(0.526208\pi\) | |||||||
\(212\) | −230.892 | −1.08911 | ||||||||
\(213\) | 65.4501 | + | 109.889i | 0.307278 | + | 0.515913i | ||||
\(214\) | 52.3787i | 0.244760i | ||||||||
\(215\) | −101.790 | + | 38.1540i | −0.473443 | + | 0.177461i | ||||
\(216\) | 6.39582 | + | 156.916i | 0.0296103 | + | 0.726463i | ||||
\(217\) | − | 260.366i | − | 1.19985i | ||||||
\(218\) | 112.098 | 0.514210 | ||||||||
\(219\) | −122.456 | − | 205.602i | −0.559162 | − | 0.938821i | ||||
\(220\) | 19.5556 | + | 52.1718i | 0.0888890 | + | 0.237145i | ||||
\(221\) | 29.0993 | + | 66.9532i | 0.131671 | + | 0.302956i | ||||
\(222\) | −72.4550 | + | 43.1542i | −0.326374 | + | 0.194388i | ||||
\(223\) | −356.523 | −1.59876 | −0.799379 | − | 0.600827i | \(-0.794838\pi\) | ||||
−0.799379 | + | 0.600827i | \(0.794838\pi\) | |||||||
\(224\) | − | 317.971i | − | 1.41951i | ||||||
\(225\) | −49.2779 | − | 219.537i | −0.219013 | − | 0.975722i | ||||
\(226\) | 19.1325i | 0.0846572i | ||||||||
\(227\) | 236.049i | 1.03986i | 0.854208 | + | 0.519931i | \(0.174043\pi\) | ||||
−0.854208 | + | 0.519931i | \(0.825957\pi\) | |||||||
\(228\) | −194.064 | + | 115.584i | −0.851157 | + | 0.506949i | ||||
\(229\) | − | 138.716i | − | 0.605747i | −0.953031 | − | 0.302874i | \(-0.902054\pi\) | ||
0.953031 | − | 0.302874i | \(-0.0979460\pi\) | |||||||
\(230\) | −157.778 | + | 59.1399i | −0.685991 | + | 0.257130i | ||||
\(231\) | −53.1251 | − | 89.1960i | −0.229979 | − | 0.386130i | ||||
\(232\) | 168.969 | 0.728314 | ||||||||
\(233\) | 293.157 | 1.25818 | 0.629092 | − | 0.777331i | \(-0.283427\pi\) | ||||
0.629092 | + | 0.777331i | \(0.283427\pi\) | |||||||
\(234\) | 7.96333 | − | 91.8865i | 0.0340313 | − | 0.392677i | ||||
\(235\) | 270.843 | − | 101.520i | 1.15252 | − | 0.432000i | ||||
\(236\) | −324.384 | −1.37451 | ||||||||
\(237\) | 93.8526 | + | 157.577i | 0.396003 | + | 0.664880i | ||||
\(238\) | 46.4477i | 0.195158i | ||||||||
\(239\) | 415.493 | 1.73847 | 0.869233 | − | 0.494404i | \(-0.164613\pi\) | ||||
0.869233 | + | 0.494404i | \(0.164613\pi\) | |||||||
\(240\) | 83.6969 | − | 104.566i | 0.348737 | − | 0.435693i | ||||
\(241\) | − | 387.712i | − | 1.60876i | −0.594112 | − | 0.804382i | \(-0.702496\pi\) | ||
0.594112 | − | 0.804382i | \(-0.297504\pi\) | |||||||
\(242\) | 86.8089i | 0.358714i | ||||||||
\(243\) | 106.943 | − | 218.202i | 0.440094 | − | 0.897952i | ||||
\(244\) | −129.177 | −0.529413 | ||||||||
\(245\) | −107.208 | − | 286.017i | −0.437583 | − | 1.16742i | ||||
\(246\) | −36.8014 | + | 21.9189i | −0.149599 | + | 0.0891012i | ||||
\(247\) | 265.698 | − | 115.478i | 1.07570 | − | 0.467522i | ||||
\(248\) | −144.336 | −0.582001 | ||||||||
\(249\) | −89.8250 | + | 53.4997i | −0.360743 | + | 0.214858i | ||||
\(250\) | 46.8024 | − | 86.7130i | 0.187210 | − | 0.346852i | ||||
\(251\) | 12.5975i | 0.0501892i | 0.999685 | + | 0.0250946i | \(0.00798869\pi\) | ||||
−0.999685 | + | 0.0250946i | \(0.992011\pi\) | |||||||
\(252\) | −151.960 | + | 280.530i | −0.603018 | + | 1.11322i | ||||
\(253\) | −140.997 | −0.557302 | ||||||||
\(254\) | −91.3240 | −0.359543 | ||||||||
\(255\) | −52.6378 | + | 65.7628i | −0.206423 | + | 0.257893i | ||||
\(256\) | −55.5978 | −0.217179 | ||||||||
\(257\) | 161.272 | 0.627516 | 0.313758 | − | 0.949503i | \(-0.398412\pi\) | ||||
0.313758 | + | 0.949503i | \(0.398412\pi\) | |||||||
\(258\) | −26.3101 | − | 44.1741i | −0.101977 | − | 0.171217i | ||||
\(259\) | −374.160 | −1.44463 | ||||||||
\(260\) | −157.871 | + | 152.658i | −0.607195 | + | 0.587147i | ||||
\(261\) | −229.887 | − | 124.527i | −0.880793 | − | 0.477117i | ||||
\(262\) | 74.8498 | 0.285686 | ||||||||
\(263\) | −150.861 | −0.573616 | −0.286808 | − | 0.957988i | \(-0.592594\pi\) | ||||
−0.286808 | + | 0.957988i | \(0.592594\pi\) | |||||||
\(264\) | −49.4465 | + | 29.4503i | −0.187297 | + | 0.111554i | ||||
\(265\) | 119.931 | + | 319.961i | 0.452569 | + | 1.20740i | ||||
\(266\) | 184.323 | 0.692945 | ||||||||
\(267\) | 31.8912 | + | 53.5447i | 0.119443 | + | 0.200542i | ||||
\(268\) | −12.6055 | −0.0470355 | ||||||||
\(269\) | 69.7813i | 0.259410i | 0.991553 | + | 0.129705i | \(0.0414031\pi\) | ||||
−0.991553 | + | 0.129705i | \(0.958597\pi\) | |||||||
\(270\) | 98.0462 | − | 41.3792i | 0.363134 | − | 0.153256i | ||||
\(271\) | 160.605i | 0.592639i | 0.955089 | + | 0.296319i | \(0.0957593\pi\) | ||||
−0.955089 | + | 0.296319i | \(0.904241\pi\) | |||||||
\(272\) | −50.1431 | −0.184350 | ||||||||
\(273\) | 238.967 | − | 332.177i | 0.875338 | − | 1.21676i | ||||
\(274\) | −163.418 | −0.596417 | ||||||||
\(275\) | 62.1400 | − | 54.1987i | 0.225964 | − | 0.197086i | ||||
\(276\) | 221.725 | + | 372.272i | 0.803353 | + | 1.34881i | ||||
\(277\) | − | 182.405i | − | 0.658503i | −0.944242 | − | 0.329251i | \(-0.893204\pi\) | ||
0.944242 | − | 0.329251i | \(-0.106796\pi\) | |||||||
\(278\) | − | 98.0140i | − | 0.352568i | ||||||
\(279\) | 196.373 | + | 106.374i | 0.703848 | + | 0.381267i | ||||
\(280\) | −285.733 | + | 107.101i | −1.02047 | + | 0.382505i | ||||
\(281\) | −43.0075 | −0.153052 | −0.0765258 | − | 0.997068i | \(-0.524383\pi\) | ||||
−0.0765258 | + | 0.997068i | \(0.524383\pi\) | |||||||
\(282\) | 70.0056 | + | 117.538i | 0.248247 | + | 0.416802i | ||||
\(283\) | 344.538i | 1.21745i | 0.793382 | + | 0.608724i | \(0.208318\pi\) | ||||
−0.793382 | + | 0.608724i | \(0.791682\pi\) | |||||||
\(284\) | 144.045 | 0.507200 | ||||||||
\(285\) | 260.974 | + | 208.888i | 0.915697 | + | 0.732942i | ||||
\(286\) | 30.9985 | − | 13.4726i | 0.108386 | − | 0.0471071i | ||||
\(287\) | −190.044 | −0.662173 | ||||||||
\(288\) | 239.820 | + | 129.908i | 0.832708 | + | 0.451070i | ||||
\(289\) | −257.465 | −0.890881 | ||||||||
\(290\) | −40.1875 | − | 107.215i | −0.138578 | − | 0.369708i | ||||
\(291\) | 142.833 | + | 239.814i | 0.490836 | + | 0.824104i | ||||
\(292\) | −269.506 | −0.922966 | ||||||||
\(293\) | − | 198.500i | − | 0.677474i | −0.940881 | − | 0.338737i | \(-0.890000\pi\) | ||
0.940881 | − | 0.338737i | \(-0.110000\pi\) | |||||||
\(294\) | 124.123 | − | 73.9278i | 0.422188 | − | 0.251455i | ||||
\(295\) | 168.493 | + | 449.519i | 0.571163 | + | 1.52379i | ||||
\(296\) | 207.419i | 0.700739i | ||||||||
\(297\) | 88.9778 | − | 3.62669i | 0.299589 | − | 0.0122111i | ||||
\(298\) | − | 193.171i | − | 0.648225i | ||||||
\(299\) | −221.521 | − | 509.687i | −0.740873 | − | 1.70464i | ||||
\(300\) | −240.818 | − | 78.8368i | −0.802726 | − | 0.262789i | ||||
\(301\) | − | 228.116i | − | 0.757862i | ||||||
\(302\) | 150.513 | 0.498387 | ||||||||
\(303\) | 272.393 | − | 162.237i | 0.898986 | − | 0.535436i | ||||
\(304\) | 198.988i | 0.654567i | ||||||||
\(305\) | 67.0976 | + | 179.008i | 0.219992 | + | 0.586912i | ||||
\(306\) | −35.0318 | − | 18.9764i | −0.114483 | − | 0.0620142i | ||||
\(307\) | 77.3922 | 0.252092 | 0.126046 | − | 0.992024i | \(-0.459771\pi\) | ||||
0.126046 | + | 0.992024i | \(0.459771\pi\) | |||||||
\(308\) | −116.919 | −0.379609 | ||||||||
\(309\) | 246.419 | − | 146.767i | 0.797472 | − | 0.474974i | ||||
\(310\) | 34.3289 | + | 91.5852i | 0.110738 | + | 0.295436i | ||||
\(311\) | − | 235.951i | − | 0.758684i | −0.925256 | − | 0.379342i | \(-0.876150\pi\) | ||
0.925256 | − | 0.379342i | \(-0.123850\pi\) | |||||||
\(312\) | −184.145 | − | 132.473i | −0.590208 | − | 0.424594i | ||||
\(313\) | 449.108i | 1.43485i | 0.696635 | + | 0.717425i | \(0.254680\pi\) | ||||
−0.696635 | + | 0.717425i | \(0.745320\pi\) | |||||||
\(314\) | −77.5612 | −0.247010 | ||||||||
\(315\) | 467.680 | + | 64.8664i | 1.48470 | + | 0.205925i | ||||
\(316\) | 206.554 | 0.653651 | ||||||||
\(317\) | − | 363.093i | − | 1.14540i | −0.819764 | − | 0.572702i | \(-0.805895\pi\) | ||
0.819764 | − | 0.572702i | \(-0.194105\pi\) | |||||||
\(318\) | −138.854 | + | 82.7013i | −0.436647 | + | 0.260067i | ||||
\(319\) | − | 95.8123i | − | 0.300352i | ||||||
\(320\) | −20.7560 | − | 55.3745i | −0.0648626 | − | 0.173045i | ||||
\(321\) | −102.003 | − | 171.261i | −0.317766 | − | 0.533522i | ||||
\(322\) | − | 353.588i | − | 1.09810i | ||||||
\(323\) | − | 125.146i | − | 0.387448i | ||||||
\(324\) | −149.498 | − | 229.223i | −0.461412 | − | 0.707479i | ||||
\(325\) | 293.550 | + | 139.476i | 0.903229 | + | 0.429158i | ||||
\(326\) | − | 143.396i | − | 0.439867i | ||||||
\(327\) | −366.522 | + | 218.300i | −1.12086 | + | 0.667585i | ||||
\(328\) | 105.352i | 0.321196i | ||||||||
\(329\) | 606.971i | 1.84490i | ||||||||
\(330\) | 30.4474 | + | 24.3707i | 0.0922647 | + | 0.0738505i | ||||
\(331\) | 0.262782i | 0.000793904i | 1.00000 | 0.000396952i | \(0.000126354\pi\) | |||||
−1.00000 | 0.000396952i | \(0.999874\pi\) | ||||||||
\(332\) | 117.744i | 0.354650i | ||||||||
\(333\) | 152.864 | − | 282.199i | 0.459052 | − | 0.847444i | ||||
\(334\) | −5.10424 | −0.0152822 | ||||||||
\(335\) | 6.54762 | + | 17.4682i | 0.0195451 | + | 0.0521439i | ||||
\(336\) | 143.825 | + | 241.479i | 0.428049 | + | 0.718686i | ||||
\(337\) | 353.820i | 1.04991i | 0.851130 | + | 0.524956i | \(0.175918\pi\) | ||||
−0.851130 | + | 0.524956i | \(0.824082\pi\) | |||||||
\(338\) | 97.4036 | + | 90.8888i | 0.288176 | + | 0.268902i | ||||
\(339\) | −37.2589 | − | 62.5569i | −0.109908 | − | 0.184534i | ||||
\(340\) | 33.2960 | + | 88.8295i | 0.0979294 | + | 0.261263i | ||||
\(341\) | 81.8446i | 0.240013i | ||||||||
\(342\) | −75.3059 | + | 139.020i | −0.220193 | + | 0.406492i | ||||
\(343\) | 126.851 | 0.369828 | ||||||||
\(344\) | −126.458 | −0.367611 | ||||||||
\(345\) | 400.710 | − | 500.625i | 1.16148 | − | 1.45109i | ||||
\(346\) | 31.3501i | 0.0906073i | ||||||||
\(347\) | 60.2016 | 0.173492 | 0.0867458 | − | 0.996230i | \(-0.472353\pi\) | ||||
0.0867458 | + | 0.996230i | \(0.472353\pi\) | |||||||
\(348\) | −252.971 | + | 150.670i | −0.726929 | + | 0.432959i | ||||
\(349\) | − | 115.662i | − | 0.331410i | −0.986175 | − | 0.165705i | \(-0.947010\pi\) | ||
0.986175 | − | 0.165705i | \(-0.0529899\pi\) | |||||||
\(350\) | 135.917 | + | 155.832i | 0.388335 | + | 0.445235i | ||||
\(351\) | 152.903 | + | 315.946i | 0.435622 | + | 0.900130i | ||||
\(352\) | 99.9522i | 0.283955i | ||||||||
\(353\) | − | 429.392i | − | 1.21641i | −0.793781 | − | 0.608204i | \(-0.791890\pi\) | ||
0.793781 | − | 0.608204i | \(-0.208110\pi\) | |||||||
\(354\) | −195.078 | + | 116.189i | −0.551069 | + | 0.328216i | ||||
\(355\) | −74.8204 | − | 199.611i | −0.210762 | − | 0.562286i | ||||
\(356\) | 70.1872 | 0.197155 | ||||||||
\(357\) | −90.4527 | − | 151.868i | −0.253369 | − | 0.425401i | ||||
\(358\) | 241.979 | 0.675918 | ||||||||
\(359\) | 238.641 | 0.664738 | 0.332369 | − | 0.943149i | \(-0.392152\pi\) | ||||
0.332369 | + | 0.943149i | \(0.392152\pi\) | |||||||
\(360\) | 35.9592 | − | 259.262i | 0.0998866 | − | 0.720172i | ||||
\(361\) | −135.629 | −0.375704 | ||||||||
\(362\) | − | 49.1441i | − | 0.135757i | ||||||
\(363\) | −169.052 | − | 283.836i | −0.465709 | − | 0.781916i | ||||
\(364\) | −183.692 | − | 422.649i | −0.504650 | − | 1.16112i | ||||
\(365\) | 139.988 | + | 373.471i | 0.383529 | + | 1.02321i | ||||
\(366\) | −77.6845 | + | 46.2689i | −0.212253 | + | 0.126418i | ||||
\(367\) | − | 601.968i | − | 1.64024i | −0.572191 | − | 0.820120i | \(-0.693907\pi\) | ||
0.572191 | − | 0.820120i | \(-0.306093\pi\) | |||||||
\(368\) | 381.719 | 1.03728 | ||||||||
\(369\) | 77.6429 | − | 143.335i | 0.210414 | − | 0.388441i | ||||
\(370\) | 131.613 | − | 49.3324i | 0.355710 | − | 0.133331i | ||||
\(371\) | −717.046 | −1.93274 | ||||||||
\(372\) | 216.093 | − | 128.705i | 0.580894 | − | 0.345980i | ||||
\(373\) | 130.814i | 0.350709i | 0.984505 | + | 0.175355i | \(0.0561072\pi\) | ||||
−0.984505 | + | 0.175355i | \(0.943893\pi\) | |||||||
\(374\) | − | 14.6005i | − | 0.0390389i | ||||||
\(375\) | 15.8378 | + | 374.665i | 0.0422342 | + | 0.999108i | ||||
\(376\) | 336.479 | 0.894891 | ||||||||
\(377\) | 346.349 | − | 150.531i | 0.918698 | − | 0.399286i | ||||
\(378\) | 9.09488 | + | 223.135i | 0.0240605 | + | 0.590304i | ||||
\(379\) | 206.905i | 0.545923i | 0.962025 | + | 0.272962i | \(0.0880032\pi\) | ||||
−0.962025 | + | 0.272962i | \(0.911997\pi\) | |||||||
\(380\) | 352.512 | − | 132.132i | 0.927663 | − | 0.347716i | ||||
\(381\) | 298.599 | − | 177.845i | 0.783723 | − | 0.466785i | ||||
\(382\) | −28.5489 | −0.0747353 | ||||||||
\(383\) | 101.681i | 0.265486i | 0.991151 | + | 0.132743i | \(0.0423784\pi\) | ||||
−0.991151 | + | 0.132743i | \(0.957622\pi\) | |||||||
\(384\) | 336.471 | − | 200.402i | 0.876228 | − | 0.521881i | ||||
\(385\) | 60.7309 | + | 162.022i | 0.157742 | + | 0.420837i | ||||
\(386\) | − | 111.571i | − | 0.289044i | ||||||
\(387\) | 172.050 | + | 93.1977i | 0.444573 | + | 0.240821i | ||||
\(388\) | 314.352 | 0.810186 | ||||||||
\(389\) | − | 401.438i | − | 1.03198i | −0.856596 | − | 0.515988i | \(-0.827425\pi\) | ||
0.856596 | − | 0.515988i | \(-0.172575\pi\) | |||||||
\(390\) | −40.2610 | + | 148.352i | −0.103233 | + | 0.380390i | ||||
\(391\) | −240.067 | −0.613982 | ||||||||
\(392\) | − | 355.331i | − | 0.906456i | ||||||
\(393\) | −244.733 | + | 145.763i | −0.622731 | + | 0.370899i | ||||
\(394\) | 29.7821 | 0.0755892 | ||||||||
\(395\) | −107.289 | − | 286.234i | −0.271618 | − | 0.724643i | ||||
\(396\) | 47.7678 | − | 88.1830i | 0.120626 | − | 0.222684i | ||||
\(397\) | 219.669 | 0.553322 | 0.276661 | − | 0.960968i | \(-0.410772\pi\) | ||||
0.276661 | + | 0.960968i | \(0.410772\pi\) | |||||||
\(398\) | − | 87.1662i | − | 0.219010i | ||||||
\(399\) | −602.675 | + | 358.953i | −1.51046 | + | 0.899632i | ||||
\(400\) | −168.230 | + | 146.731i | −0.420576 | + | 0.366827i | ||||
\(401\) | 435.514 | 1.08607 | 0.543035 | − | 0.839710i | \(-0.317275\pi\) | ||||
0.543035 | + | 0.839710i | \(0.317275\pi\) | |||||||
\(402\) | −7.58071 | + | 4.51507i | −0.0188575 | + | 0.0112315i | ||||
\(403\) | −295.858 | + | 128.586i | −0.734138 | + | 0.319072i | ||||
\(404\) | − | 357.057i | − | 0.883804i | ||||||
\(405\) | −239.995 | + | 326.232i | −0.592581 | + | 0.805511i | ||||
\(406\) | 240.274 | 0.591809 | ||||||||
\(407\) | 117.615 | 0.288980 | ||||||||
\(408\) | −84.1893 | + | 50.1432i | −0.206346 | + | 0.122900i | ||||
\(409\) | − | 183.444i | − | 0.448519i | −0.974529 | − | 0.224259i | \(-0.928004\pi\) | ||
0.974529 | − | 0.224259i | \(-0.0719963\pi\) | |||||||
\(410\) | 66.8488 | − | 25.0569i | 0.163046 | − | 0.0611145i | ||||
\(411\) | 534.322 | − | 318.242i | 1.30005 | − | 0.774311i | ||||
\(412\) | − | 323.009i | − | 0.784004i | ||||||
\(413\) | −1007.39 | −2.43921 | ||||||||
\(414\) | 266.683 | + | 144.459i | 0.644161 | + | 0.348935i | ||||
\(415\) | 163.165 | − | 61.1591i | 0.393168 | − | 0.147371i | ||||
\(416\) | −361.314 | + | 157.035i | −0.868544 | + | 0.377488i | ||||
\(417\) | 190.873 | + | 320.472i | 0.457730 | + | 0.768519i | ||||
\(418\) | −57.9409 | −0.138615 | ||||||||
\(419\) | − | 476.017i | − | 1.13608i | −0.823002 | − | 0.568039i | \(-0.807702\pi\) | ||
0.823002 | − | 0.568039i | \(-0.192298\pi\) | |||||||
\(420\) | 332.282 | − | 415.135i | 0.791147 | − | 0.988416i | ||||
\(421\) | 341.776i | 0.811819i | 0.913913 | + | 0.405910i | \(0.133045\pi\) | ||||
−0.913913 | + | 0.405910i | \(0.866955\pi\) | |||||||
\(422\) | 27.3584i | 0.0648304i | ||||||||
\(423\) | −457.789 | − | 247.980i | −1.08224 | − | 0.586241i | ||||
\(424\) | 397.500i | 0.937501i | ||||||||
\(425\) | 105.802 | − | 92.2805i | 0.248945 | − | 0.217131i | ||||
\(426\) | 86.6257 | − | 51.5943i | 0.203347 | − | 0.121113i | ||||
\(427\) | −401.165 | −0.939498 | ||||||||
\(428\) | −224.491 | −0.524512 | ||||||||
\(429\) | −75.1179 | + | 104.418i | −0.175100 | + | 0.243398i | ||||
\(430\) | 30.0768 | + | 80.2411i | 0.0699460 | + | 0.186607i | ||||
\(431\) | 195.792 | 0.454274 | 0.227137 | − | 0.973863i | \(-0.427064\pi\) | ||||
0.227137 | + | 0.973863i | \(0.427064\pi\) | |||||||
\(432\) | −240.888 | + | 9.81847i | −0.557611 | + | 0.0227280i | ||||
\(433\) | − | 300.629i | − | 0.694293i | −0.937811 | − | 0.347147i | \(-0.887151\pi\) | ||
0.937811 | − | 0.347147i | \(-0.112849\pi\) | |||||||
\(434\) | −205.247 | −0.472918 | ||||||||
\(435\) | 340.191 | + | 272.296i | 0.782049 | + | 0.625967i | ||||
\(436\) | 480.442i | 1.10193i | ||||||||
\(437\) | 952.683i | 2.18005i | ||||||||
\(438\) | −162.076 | + | 96.5323i | −0.370036 | + | 0.220393i | ||||
\(439\) | −152.725 | −0.347893 | −0.173947 | − | 0.984755i | \(-0.555652\pi\) | ||||
−0.173947 | + | 0.984755i | \(0.555652\pi\) | |||||||
\(440\) | 89.8184 | − | 33.6666i | 0.204133 | − | 0.0765151i | ||||
\(441\) | −261.873 | + | 483.438i | −0.593817 | + | 1.09623i | ||||
\(442\) | 52.7791 | − | 22.9389i | 0.119410 | − | 0.0518981i | ||||
\(443\) | 561.260 | 1.26695 | 0.633477 | − | 0.773762i | \(-0.281627\pi\) | ||||
0.633477 | + | 0.773762i | \(0.281627\pi\) | |||||||
\(444\) | −184.955 | − | 310.536i | −0.416566 | − | 0.699406i | ||||
\(445\) | −36.4570 | − | 97.2627i | −0.0819258 | − | 0.218568i | ||||
\(446\) | 281.047i | 0.630149i | ||||||||
\(447\) | 376.183 | + | 631.603i | 0.841572 | + | 1.41298i | ||||
\(448\) | 124.097 | 0.277002 | ||||||||
\(449\) | −269.134 | −0.599408 | −0.299704 | − | 0.954032i | \(-0.596888\pi\) | ||||
−0.299704 | + | 0.954032i | \(0.596888\pi\) | |||||||
\(450\) | −173.061 | + | 38.8457i | −0.384580 | + | 0.0863238i | ||||
\(451\) | 59.7390 | 0.132459 | ||||||||
\(452\) | −82.0005 | −0.181417 | ||||||||
\(453\) | −492.126 | + | 293.110i | −1.08637 | + | 0.647042i | ||||
\(454\) | 186.077 | 0.409861 | ||||||||
\(455\) | −490.276 | + | 474.088i | −1.07753 | + | 1.04195i | ||||
\(456\) | 198.989 | + | 334.098i | 0.436378 | + | 0.732670i | ||||
\(457\) | 390.643 | 0.854800 | 0.427400 | − | 0.904063i | \(-0.359430\pi\) | ||||
0.427400 | + | 0.904063i | \(0.359430\pi\) | |||||||
\(458\) | −109.350 | −0.238755 | ||||||||
\(459\) | 151.497 | − | 6.17493i | 0.330058 | − | 0.0134530i | ||||
\(460\) | −253.469 | − | 676.223i | −0.551019 | − | 1.47005i | ||||
\(461\) | −662.005 | −1.43602 | −0.718009 | − | 0.696033i | \(-0.754947\pi\) | ||||
−0.718009 | + | 0.696033i | \(0.754947\pi\) | |||||||
\(462\) | −70.3131 | + | 41.8785i | −0.152193 | + | 0.0906461i | ||||
\(463\) | −671.016 | −1.44928 | −0.724639 | − | 0.689129i | \(-0.757994\pi\) | ||||
−0.724639 | + | 0.689129i | \(0.757994\pi\) | |||||||
\(464\) | 259.391i | 0.559032i | ||||||||
\(465\) | −290.598 | − | 232.600i | −0.624941 | − | 0.500215i | ||||
\(466\) | − | 231.095i | − | 0.495913i | ||||||
\(467\) | −608.959 | −1.30398 | −0.651991 | − | 0.758227i | \(-0.726066\pi\) | ||||
−0.651991 | + | 0.758227i | \(0.726066\pi\) | |||||||
\(468\) | 393.818 | + | 34.1302i | 0.841492 | + | 0.0729278i | ||||
\(469\) | −39.1471 | −0.0834693 | ||||||||
\(470\) | −80.0281 | − | 213.505i | −0.170272 | − | 0.454266i | ||||
\(471\) | 253.599 | − | 151.043i | 0.538426 | − | 0.320686i | ||||
\(472\) | 558.456i | 1.18317i | ||||||||
\(473\) | 71.7070i | 0.151600i | ||||||||
\(474\) | 124.217 | − | 73.9839i | 0.262062 | − | 0.156084i | ||||
\(475\) | −366.207 | − | 419.864i | −0.770961 | − | 0.883925i | ||||
\(476\) | −199.071 | −0.418217 | ||||||||
\(477\) | 292.952 | − | 540.810i | 0.614154 | − | 1.13377i | ||||
\(478\) | − | 327.533i | − | 0.685215i | ||||||
\(479\) | −690.829 | −1.44223 | −0.721116 | − | 0.692814i | \(-0.756371\pi\) | ||||
−0.721116 | + | 0.692814i | \(0.756371\pi\) | |||||||
\(480\) | −354.891 | − | 284.061i | −0.739355 | − | 0.591794i | ||||
\(481\) | 184.785 | + | 425.163i | 0.384168 | + | 0.883914i | ||||
\(482\) | −305.633 | −0.634094 | ||||||||
\(483\) | 688.579 | + | 1156.11i | 1.42563 | + | 2.39360i | ||||
\(484\) | −372.056 | −0.768711 | ||||||||
\(485\) | −163.282 | − | 435.616i | −0.336664 | − | 0.898178i | ||||
\(486\) | −172.009 | − | 84.3030i | −0.353927 | − | 0.173463i | ||||
\(487\) | 124.032 | 0.254687 | 0.127343 | − | 0.991859i | \(-0.459355\pi\) | ||||
0.127343 | + | 0.991859i | \(0.459355\pi\) | |||||||
\(488\) | 222.389i | 0.455716i | ||||||||
\(489\) | 279.252 | + | 468.858i | 0.571067 | + | 0.958809i | ||||
\(490\) | −225.467 | + | 84.5118i | −0.460136 | + | 0.172473i | ||||
\(491\) | − | 518.858i | − | 1.05674i | −0.849015 | − | 0.528369i | \(-0.822804\pi\) | ||
0.849015 | − | 0.528369i | \(-0.177196\pi\) | |||||||
\(492\) | −93.9426 | − | 157.728i | −0.190940 | − | 0.320585i | ||||
\(493\) | − | 163.133i | − | 0.330899i | ||||||
\(494\) | −91.0311 | − | 209.449i | −0.184273 | − | 0.423986i | ||||
\(495\) | −147.012 | − | 20.3903i | −0.296994 | − | 0.0411926i | ||||
\(496\) | − | 221.576i | − | 0.446726i | ||||||
\(497\) | 447.338 | 0.900077 | ||||||||
\(498\) | 42.1738 | + | 70.8089i | 0.0846863 | + | 0.142187i | ||||
\(499\) | − | 612.065i | − | 1.22658i | −0.789857 | − | 0.613292i | \(-0.789845\pi\) | ||
0.789857 | − | 0.613292i | \(-0.210155\pi\) | |||||||
\(500\) | 371.645 | + | 200.591i | 0.743290 | + | 0.401182i | ||||
\(501\) | 16.6891 | − | 9.94005i | 0.0333117 | − | 0.0198404i | ||||
\(502\) | 9.93058 | 0.0197820 | ||||||||
\(503\) | 441.737 | 0.878205 | 0.439103 | − | 0.898437i | \(-0.355296\pi\) | ||||
0.439103 | + | 0.898437i | \(0.355296\pi\) | |||||||
\(504\) | 482.958 | + | 261.613i | 0.958249 | + | 0.519074i | ||||
\(505\) | −494.795 | + | 185.464i | −0.979792 | + | 0.367256i | ||||
\(506\) | 111.148i | 0.219660i | ||||||||
\(507\) | −495.474 | − | 107.491i | −0.977267 | − | 0.212013i | ||||
\(508\) | − | 391.408i | − | 0.770487i | ||||||
\(509\) | 739.372 | 1.45260 | 0.726299 | − | 0.687379i | \(-0.241239\pi\) | ||||
0.726299 | + | 0.687379i | \(0.241239\pi\) | |||||||
\(510\) | 51.8407 | + | 41.4943i | 0.101648 | + | 0.0813614i | ||||
\(511\) | −836.965 | −1.63790 | ||||||||
\(512\) | − | 478.346i | − | 0.934269i | ||||||
\(513\) | −24.5047 | − | 601.201i | −0.0477674 | − | 1.17193i | ||||
\(514\) | − | 127.130i | − | 0.247335i | ||||||
\(515\) | −447.614 | + | 167.779i | −0.869153 | + | 0.325785i | ||||
\(516\) | 189.326 | − | 112.763i | 0.366912 | − | 0.218533i | ||||
\(517\) | − | 190.797i | − | 0.369047i | ||||||
\(518\) | 294.950i | 0.569401i | ||||||||
\(519\) | −61.0515 | − | 102.504i | −0.117633 | − | 0.197503i | ||||
\(520\) | 262.814 | + | 271.788i | 0.505412 | + | 0.522670i | ||||
\(521\) | − | 300.845i | − | 0.577438i | −0.957414 | − | 0.288719i | \(-0.906771\pi\) | ||
0.957414 | − | 0.288719i | \(-0.0932293\pi\) | |||||||
\(522\) | −98.1648 | + | 181.220i | −0.188055 | + | 0.347164i | ||||
\(523\) | − | 205.401i | − | 0.392735i | −0.980530 | − | 0.196368i | \(-0.937085\pi\) | ||
0.980530 | − | 0.196368i | \(-0.0629146\pi\) | |||||||
\(524\) | 320.800i | 0.612214i | ||||||||
\(525\) | −747.872 | − | 244.832i | −1.42452 | − | 0.466346i | ||||
\(526\) | 118.924i | 0.226091i | ||||||||
\(527\) | 139.351i | 0.264424i | ||||||||
\(528\) | −45.2103 | − | 75.9073i | −0.0856257 | − | 0.143764i | ||||
\(529\) | 1298.53 | 2.45469 | ||||||||
\(530\) | 252.224 | − | 94.5413i | 0.475895 | − | 0.178380i | ||||
\(531\) | 411.573 | − | 759.795i | 0.775091 | − | 1.43087i | ||||
\(532\) | 789.996i | 1.48495i | ||||||||
\(533\) | 93.8561 | + | 215.949i | 0.176090 | + | 0.405158i | ||||
\(534\) | 42.2092 | − | 25.1398i | 0.0790435 | − | 0.0470783i | ||||
\(535\) | 116.606 | + | 311.091i | 0.217955 | + | 0.581478i | ||||
\(536\) | 21.7015i | 0.0404879i | ||||||||
\(537\) | −791.188 | + | 471.231i | −1.47335 | + | 0.877525i | ||||
\(538\) | 55.0085 | 0.102246 | ||||||||
\(539\) | −201.487 | −0.373817 | ||||||||
\(540\) | 177.348 | + | 420.218i | 0.328422 | + | 0.778181i | ||||
\(541\) | − | 368.781i | − | 0.681666i | −0.940124 | − | 0.340833i | \(-0.889291\pi\) | ||
0.940124 | − | 0.340833i | \(-0.110709\pi\) | |||||||
\(542\) | 126.605 | 0.233588 | ||||||||
\(543\) | 95.7036 | + | 160.684i | 0.176250 | + | 0.295920i | ||||
\(544\) | 170.182i | 0.312835i | ||||||||
\(545\) | 665.778 | − | 249.554i | 1.22161 | − | 0.457896i | ||||
\(546\) | −261.854 | − | 188.378i | −0.479587 | − | 0.345014i | ||||
\(547\) | − | 5.41064i | − | 0.00989148i | −0.999988 | − | 0.00494574i | \(-0.998426\pi\) | ||
0.999988 | − | 0.00494574i | \(-0.00157428\pi\) | |||||||
\(548\) | − | 700.397i | − | 1.27810i | ||||||
\(549\) | 163.897 | − | 302.567i | 0.298538 | − | 0.551124i | ||||
\(550\) | −42.7247 | − | 48.9849i | −0.0776813 | − | 0.0890634i | ||||
\(551\) | −647.380 | −1.17492 | ||||||||
\(552\) | 640.899 | − | 381.719i | 1.16105 | − | 0.691521i | ||||
\(553\) | 641.464 | 1.15997 | ||||||||
\(554\) | −143.790 | −0.259548 | ||||||||
\(555\) | −334.258 | + | 417.604i | −0.602267 | + | 0.752439i | ||||
\(556\) | 420.080 | 0.755540 | ||||||||
\(557\) | 386.944i | 0.694693i | 0.937737 | + | 0.347347i | \(0.112917\pi\) | ||||
−0.937737 | + | 0.347347i | \(0.887083\pi\) | |||||||
\(558\) | 83.8541 | − | 154.801i | 0.150276 | − | 0.277421i | ||||
\(559\) | −259.212 | + | 112.659i | −0.463706 | + | 0.201537i | ||||
\(560\) | −164.415 | − | 438.640i | −0.293599 | − | 0.783285i | ||||
\(561\) | 28.4332 | + | 47.7388i | 0.0506831 | + | 0.0850959i | ||||
\(562\) | 33.9028i | 0.0603252i | ||||||||
\(563\) | −338.364 | −0.601002 | −0.300501 | − | 0.953781i | \(-0.597154\pi\) | ||||
−0.300501 | + | 0.953781i | \(0.597154\pi\) | |||||||
\(564\) | −503.759 | + | 300.038i | −0.893189 | + | 0.531983i | ||||
\(565\) | 42.5931 | + | 113.633i | 0.0753860 | + | 0.201120i | ||||
\(566\) | 271.599 | 0.479857 | ||||||||
\(567\) | −464.272 | − | 711.864i | −0.818822 | − | 1.25549i | ||||
\(568\) | − | 247.986i | − | 0.436594i | ||||||
\(569\) | 660.133i | 1.16016i | 0.814558 | + | 0.580082i | \(0.196980\pi\) | ||||
−0.814558 | + | 0.580082i | \(0.803020\pi\) | |||||||
\(570\) | 164.666 | − | 205.725i | 0.288889 | − | 0.360921i | ||||
\(571\) | 69.4601 | 0.121646 | 0.0608232 | − | 0.998149i | \(-0.480627\pi\) | ||||
0.0608232 | + | 0.998149i | \(0.480627\pi\) | |||||||
\(572\) | 57.7426 | + | 132.857i | 0.100949 | + | 0.232268i | ||||
\(573\) | 93.3451 | − | 55.5963i | 0.162906 | − | 0.0970268i | ||||
\(574\) | 149.811i | 0.260995i | ||||||||
\(575\) | −805.425 | + | 702.494i | −1.40074 | + | 1.22173i | ||||
\(576\) | −50.7001 | + | 93.5962i | −0.0880211 | + | 0.162493i | ||||
\(577\) | −278.605 | −0.482851 | −0.241426 | − | 0.970419i | \(-0.577615\pi\) | ||||
−0.241426 | + | 0.970419i | \(0.577615\pi\) | |||||||
\(578\) | 202.959i | 0.351140i | ||||||||
\(579\) | 217.274 | + | 364.799i | 0.375257 | + | 0.630050i | ||||
\(580\) | 459.516 | − | 172.240i | 0.792269 | − | 0.296966i | ||||
\(581\) | 365.660i | 0.629363i | ||||||||
\(582\) | 189.045 | − | 112.595i | 0.324820 | − | 0.193463i | ||||
\(583\) | 225.399 | 0.386619 | ||||||||
\(584\) | 463.978i | 0.794483i | ||||||||
\(585\) | −157.263 | − | 563.466i | −0.268825 | − | 0.963189i | ||||
\(586\) | −156.477 | −0.267026 | ||||||||
\(587\) | − | 930.344i | − | 1.58491i | −0.609929 | − | 0.792456i | \(-0.708802\pi\) | ||
0.609929 | − | 0.792456i | \(-0.291198\pi\) | |||||||
\(588\) | 316.849 | + | 531.982i | 0.538858 | + | 0.904732i | ||||
\(589\) | 553.003 | 0.938885 | ||||||||
\(590\) | 354.355 | − | 132.823i | 0.600602 | − | 0.225124i | ||||
\(591\) | −97.3775 | + | 57.9980i | −0.164767 | + | 0.0981354i | ||||
\(592\) | −318.416 | −0.537865 | ||||||||
\(593\) | 529.268i | 0.892527i | 0.894902 | + | 0.446263i | \(0.147246\pi\) | ||||
−0.894902 | + | 0.446263i | \(0.852754\pi\) | |||||||
\(594\) | −2.85892 | − | 70.1411i | −0.00481300 | − | 0.118083i | ||||
\(595\) | 103.402 | + | 275.865i | 0.173786 | + | 0.463638i | ||||
\(596\) | 827.915 | 1.38912 | ||||||||
\(597\) | 169.748 | + | 285.004i | 0.284335 | + | 0.477393i | ||||
\(598\) | −401.786 | + | 174.625i | −0.671883 | + | 0.292015i | ||||
\(599\) | 862.676i | 1.44019i | 0.693873 | + | 0.720097i | \(0.255903\pi\) | ||||
−0.693873 | + | 0.720097i | \(0.744097\pi\) | |||||||
\(600\) | −135.724 | + | 414.589i | −0.226207 | + | 0.690982i | ||||
\(601\) | −732.710 | −1.21915 | −0.609576 | − | 0.792728i | \(-0.708660\pi\) | ||||
−0.609576 | + | 0.792728i | \(0.708660\pi\) | |||||||
\(602\) | −179.824 | −0.298711 | ||||||||
\(603\) | 15.9937 | − | 29.5255i | 0.0265235 | − | 0.0489643i | ||||
\(604\) | 645.086i | 1.06802i | ||||||||
\(605\) | 193.255 | + | 515.580i | 0.319430 | + | 0.852198i | ||||
\(606\) | −127.891 | − | 214.727i | −0.211042 | − | 0.354335i | ||||
\(607\) | − | 571.266i | − | 0.941130i | −0.882365 | − | 0.470565i | \(-0.844050\pi\) | ||
0.882365 | − | 0.470565i | \(-0.155950\pi\) | |||||||
\(608\) | 675.352 | 1.11078 | ||||||||
\(609\) | −785.615 | + | 467.912i | −1.29001 | + | 0.768329i | ||||
\(610\) | 141.112 | − | 52.8930i | 0.231331 | − | 0.0867098i | ||||
\(611\) | 689.708 | − | 299.762i | 1.12882 | − | 0.490609i | ||||
\(612\) | 81.3311 | − | 150.143i | 0.132894 | − | 0.245332i | ||||
\(613\) | −562.680 | −0.917911 | −0.458956 | − | 0.888459i | \(-0.651776\pi\) | ||||
−0.458956 | + | 0.888459i | \(0.651776\pi\) | |||||||
\(614\) | − | 61.0081i | − | 0.0993618i | ||||||
\(615\) | −169.777 | + | 212.109i | −0.276060 | + | 0.344893i | ||||
\(616\) | 201.287i | 0.326765i | ||||||||
\(617\) | 21.3170i | 0.0345494i | 0.999851 | + | 0.0172747i | \(0.00549899\pi\) | ||||
−0.999851 | + | 0.0172747i | \(0.994501\pi\) | |||||||
\(618\) | −115.696 | − | 194.252i | −0.187211 | − | 0.314323i | ||||
\(619\) | − | 6.34749i | − | 0.0102544i | −0.999987 | − | 0.00512721i | \(-0.998368\pi\) | ||
0.999987 | − | 0.00512721i | \(-0.00163205\pi\) | |||||||
\(620\) | −392.527 | + | 147.131i | −0.633107 | + | 0.237308i | ||||
\(621\) | −1153.28 | + | 47.0073i | −1.85714 | + | 0.0756961i | ||||
\(622\) | −186.000 | −0.299035 | ||||||||
\(623\) | 217.970 | 0.349872 | ||||||||
\(624\) | 203.365 | − | 282.688i | 0.325905 | − | 0.453025i | ||||
\(625\) | 84.9297 | − | 619.203i | 0.135888 | − | 0.990724i | ||||
\(626\) | 354.032 | 0.565546 | ||||||||
\(627\) | 189.447 | − | 112.835i | 0.302149 | − | 0.179960i | ||||
\(628\) | − | 332.421i | − | 0.529333i | ||||||
\(629\) | 200.255 | 0.318371 | ||||||||
\(630\) | 51.1341 | − | 368.671i | 0.0811652 | − | 0.585193i | ||||
\(631\) | 146.759i | 0.232581i | 0.993215 | + | 0.116291i | \(0.0371004\pi\) | ||||
−0.993215 | + | 0.116291i | \(0.962900\pi\) | |||||||
\(632\) | − | 355.601i | − | 0.562659i | ||||||
\(633\) | −53.2781 | − | 89.4528i | −0.0841676 | − | 0.141316i | ||||
\(634\) | −286.226 | −0.451460 | ||||||||
\(635\) | −542.397 | + | 203.307i | −0.854168 | + | 0.320168i | ||||
\(636\) | −354.451 | − | 595.116i | −0.557313 | − | 0.935718i | ||||
\(637\) | −316.557 | − | 728.351i | −0.496950 | − | 1.14341i | ||||
\(638\) | −75.5287 | −0.118384 | ||||||||
\(639\) | −182.762 | + | 337.391i | −0.286012 | + | 0.527999i | ||||
\(640\) | −611.192 | + | 229.093i | −0.954988 | + | 0.357958i | ||||
\(641\) | − | 1175.54i | − | 1.83392i | −0.398985 | − | 0.916958i | \(-0.630637\pi\) | ||
0.398985 | − | 0.916958i | \(-0.369363\pi\) | |||||||
\(642\) | −135.004 | + | 80.4086i | −0.210287 | + | 0.125247i | ||||
\(643\) | 1235.57 | 1.92158 | 0.960788 | − | 0.277283i | \(-0.0894339\pi\) | ||||
0.960788 | + | 0.277283i | \(0.0894339\pi\) | |||||||
\(644\) | 1515.45 | 2.35318 | ||||||||
\(645\) | −254.603 | − | 203.789i | −0.394733 | − | 0.315952i | ||||
\(646\) | −98.6522 | −0.152712 | ||||||||
\(647\) | 766.318 | 1.18442 | 0.592208 | − | 0.805785i | \(-0.298256\pi\) | ||||
0.592208 | + | 0.805785i | \(0.298256\pi\) | |||||||
\(648\) | −394.628 | + | 257.373i | −0.608993 | + | 0.397181i | ||||
\(649\) | 316.667 | 0.487931 | ||||||||
\(650\) | 109.949 | − | 231.405i | 0.169153 | − | 0.356007i | ||||
\(651\) | 671.087 | − | 399.699i | 1.03085 | − | 0.613977i | ||||
\(652\) | 614.586 | 0.942616 | ||||||||
\(653\) | 115.606 | 0.177038 | 0.0885189 | − | 0.996074i | \(-0.471787\pi\) | ||||
0.0885189 | + | 0.996074i | \(0.471787\pi\) | |||||||
\(654\) | 172.086 | + | 288.929i | 0.263128 | + | 0.441787i | ||||
\(655\) | 444.552 | − | 166.632i | 0.678706 | − | 0.254399i | ||||
\(656\) | −161.730 | −0.246540 | ||||||||
\(657\) | 341.945 | − | 631.255i | 0.520464 | − | 0.960815i | ||||
\(658\) | 478.474 | 0.727165 | ||||||||
\(659\) | − | 387.286i | − | 0.587688i | −0.955853 | − | 0.293844i | \(-0.905065\pi\) | ||
0.955853 | − | 0.293844i | \(-0.0949346\pi\) | |||||||
\(660\) | −104.451 | + | 130.495i | −0.158259 | + | 0.197720i | ||||
\(661\) | − | 540.989i | − | 0.818441i | −0.912436 | − | 0.409220i | \(-0.865801\pi\) | ||
0.912436 | − | 0.409220i | \(-0.134199\pi\) | |||||||
\(662\) | 0.207151 | 0.000312917 | ||||||||
\(663\) | −127.898 | + | 177.785i | −0.192908 | + | 0.268152i | ||||
\(664\) | 202.706 | 0.305281 | ||||||||
\(665\) | 1094.74 | − | 410.343i | 1.64623 | − | 0.617057i | ||||
\(666\) | −222.457 | − | 120.503i | −0.334020 | − | 0.180935i | ||||
\(667\) | 1241.87i | 1.86187i | ||||||||
\(668\) | − | 21.8764i | − | 0.0327491i | ||||||
\(669\) | −547.313 | − | 918.927i | −0.818105 | − | 1.37358i | ||||
\(670\) | 13.7702 | − | 5.16148i | 0.0205525 | − | 0.00770370i | ||||
\(671\) | 126.104 | 0.187934 | ||||||||
\(672\) | 819.560 | − | 488.130i | 1.21958 | − | 0.726384i | ||||
\(673\) | 884.578i | 1.31438i | 0.753725 | + | 0.657190i | \(0.228255\pi\) | ||||
−0.753725 | + | 0.657190i | \(0.771745\pi\) | |||||||
\(674\) | 278.916 | 0.413822 | ||||||||
\(675\) | 490.202 | − | 464.033i | 0.726226 | − | 0.687456i | ||||
\(676\) | −389.542 | + | 417.464i | −0.576246 | + | 0.617550i | ||||
\(677\) | −701.777 | −1.03660 | −0.518299 | − | 0.855199i | \(-0.673435\pi\) | ||||
−0.518299 | + | 0.855199i | \(0.673435\pi\) | |||||||
\(678\) | −49.3135 | + | 29.3711i | −0.0727338 | + | 0.0433202i | ||||
\(679\) | 976.237 | 1.43776 | ||||||||
\(680\) | 152.928 | − | 57.3220i | 0.224894 | − | 0.0842970i | ||||
\(681\) | −608.409 | + | 362.368i | −0.893405 | + | 0.532112i | ||||
\(682\) | 64.5180 | 0.0946011 | ||||||||
\(683\) | 599.528i | 0.877786i | 0.898539 | + | 0.438893i | \(0.144629\pi\) | ||||
−0.898539 | + | 0.438893i | \(0.855371\pi\) | |||||||
\(684\) | −595.830 | − | 322.755i | −0.871097 | − | 0.471864i | ||||
\(685\) | −970.582 | + | 363.803i | −1.41691 | + | 0.531100i | ||||
\(686\) | − | 99.9966i | − | 0.145768i | ||||||
\(687\) | 357.536 | − | 212.949i | 0.520431 | − | 0.309969i | ||||
\(688\) | − | 194.131i | − | 0.282167i | ||||||
\(689\) | 354.125 | + | 814.789i | 0.513969 | + | 1.18257i | ||||
\(690\) | −394.642 | − | 315.880i | −0.571945 | − | 0.457796i | ||||
\(691\) | − | 56.9097i | − | 0.0823585i | −0.999152 | − | 0.0411792i | \(-0.986889\pi\) | ||
0.999152 | − | 0.0411792i | \(-0.0131115\pi\) | |||||||
\(692\) | −134.364 | −0.194168 | ||||||||
\(693\) | 148.345 | − | 273.857i | 0.214063 | − | 0.395176i | ||||
\(694\) | − | 47.4569i | − | 0.0683816i | ||||||
\(695\) | −218.200 | − | 582.130i | −0.313957 | − | 0.837597i | ||||
\(696\) | 259.391 | + | 435.512i | 0.372688 | + | 0.625736i | ||||
\(697\) | 101.714 | 0.145931 | ||||||||
\(698\) | −91.1762 | −0.130625 | ||||||||
\(699\) | 450.037 | + | 755.603i | 0.643830 | + | 1.08098i | ||||
\(700\) | −667.884 | + | 582.530i | −0.954120 | + | 0.832186i | ||||
\(701\) | 923.569i | 1.31750i | 0.752361 | + | 0.658751i | \(0.228915\pi\) | ||||
−0.752361 | + | 0.658751i | \(0.771085\pi\) | |||||||
\(702\) | 249.059 | − | 120.533i | 0.354786 | − | 0.171700i | ||||
\(703\) | − | 794.694i | − | 1.13043i | ||||||
\(704\) | −39.0090 | −0.0554106 | ||||||||
\(705\) | 677.446 | + | 542.241i | 0.960916 | + | 0.769136i | ||||
\(706\) | −338.489 | −0.479446 | ||||||||
\(707\) | − | 1108.86i | − | 1.56840i | ||||||
\(708\) | −497.975 | − | 836.090i | −0.703355 | − | 1.18092i | ||||
\(709\) | 1214.52i | 1.71300i | 0.516149 | + | 0.856499i | \(0.327365\pi\) | ||||
−0.516149 | + | 0.856499i | \(0.672635\pi\) | |||||||
\(710\) | −157.353 | + | 58.9808i | −0.221625 | + | 0.0830716i | ||||
\(711\) | −262.072 | + | 483.804i | −0.368596 | + | 0.680456i | ||||
\(712\) | − | 120.833i | − | 0.169710i | ||||||
\(713\) | − | 1060.83i | − | 1.48783i | ||||||
\(714\) | −119.718 | + | 71.3037i | −0.167672 | + | 0.0998652i | ||||
\(715\) | 154.115 | − | 149.027i | 0.215546 | − | 0.208429i | ||||
\(716\) | 1037.10i | 1.44846i | ||||||||
\(717\) | 637.840 | + | 1070.92i | 0.889596 | + | 1.49361i | ||||
\(718\) | − | 188.120i | − | 0.262006i | ||||||
\(719\) | − | 251.260i | − | 0.349458i | −0.984617 | − | 0.174729i | \(-0.944095\pi\) | ||
0.984617 | − | 0.174729i | \(-0.0559049\pi\) | |||||||
\(720\) | 398.003 | + | 55.2023i | 0.552782 | + | 0.0766699i | ||||
\(721\) | − | 1003.12i | − | 1.39129i | ||||||
\(722\) | 106.916i | 0.148084i | ||||||||
\(723\) | 999.316 | − | 595.193i | 1.38218 | − | 0.823226i | ||||
\(724\) | 210.627 | 0.290922 | ||||||||
\(725\) | −477.368 | − | 547.313i | −0.658438 | − | 0.754914i | ||||
\(726\) | −223.747 | + | 133.264i | −0.308192 | + | 0.183559i | ||||
\(727\) | 1049.06i | 1.44299i | 0.692419 | + | 0.721496i | \(0.256545\pi\) | ||||
−0.692419 | + | 0.721496i | \(0.743455\pi\) | |||||||
\(728\) | −727.627 | + | 316.243i | −0.999488 | + | 0.434399i | ||||
\(729\) | 726.582 | − | 59.3288i | 0.996683 | − | 0.0813839i | ||||
\(730\) | 294.406 | − | 110.352i | 0.403296 | − | 0.151168i | ||||
\(731\) | 122.091i | 0.167019i | ||||||||
\(732\) | −198.305 | − | 332.949i | −0.270908 | − | 0.454849i | ||||
\(733\) | −851.692 | −1.16193 | −0.580963 | − | 0.813930i | \(-0.697324\pi\) | ||||
−0.580963 | + | 0.813930i | \(0.697324\pi\) | |||||||
\(734\) | −474.531 | −0.646500 | ||||||||
\(735\) | 572.621 | − | 715.401i | 0.779076 | − | 0.973335i | ||||
\(736\) | − | 1295.53i | − | 1.76023i | ||||||
\(737\) | 12.3056 | 0.0166969 | ||||||||
\(738\) | −112.990 | − | 61.2058i | −0.153104 | − | 0.0829347i | ||||
\(739\) | − | 742.028i | − | 1.00410i | −0.864839 | − | 0.502049i | \(-0.832580\pi\) | ||
0.864839 | − | 0.502049i | \(-0.167420\pi\) | |||||||
\(740\) | 211.435 | + | 564.081i | 0.285722 | + | 0.762272i | ||||
\(741\) | 705.524 | + | 507.552i | 0.952124 | + | 0.684956i | ||||
\(742\) | 565.247i | 0.761788i | ||||||||
\(743\) | − | 594.550i | − | 0.800202i | −0.916471 | − | 0.400101i | \(-0.868975\pi\) | ||
0.916471 | − | 0.400101i | \(-0.131025\pi\) | |||||||
\(744\) | −221.576 | − | 372.022i | −0.297818 | − | 0.500030i | ||||
\(745\) | −430.040 | − | 1147.29i | −0.577234 | − | 1.53999i | ||||
\(746\) | 103.121 | 0.138232 | ||||||||
\(747\) | −275.788 | − | 149.391i | −0.369194 | − | 0.199989i | ||||
\(748\) | 62.5768 | 0.0836588 | ||||||||
\(749\) | −697.168 | −0.930799 | ||||||||
\(750\) | 295.348 | − | 12.4849i | 0.393798 | − | 0.0166466i | ||||
\(751\) | 888.030 | 1.18246 | 0.591232 | − | 0.806502i | \(-0.298642\pi\) | ||||
0.591232 | + | 0.806502i | \(0.298642\pi\) | |||||||
\(752\) | 516.542i | 0.686891i | ||||||||
\(753\) | −32.4696 | + | 19.3389i | −0.0431203 | + | 0.0256825i | ||||
\(754\) | −118.663 | − | 273.027i | −0.157378 | − | 0.362104i | ||||
\(755\) | 893.934 | − | 335.073i | 1.18402 | − | 0.443806i | ||||
\(756\) | −956.339 | + | 38.9799i | −1.26500 | + | 0.0515608i | ||||
\(757\) | 788.965i | 1.04223i | 0.853488 | + | 0.521113i | \(0.174483\pi\) | ||||
−0.853488 | + | 0.521113i | \(0.825517\pi\) | |||||||
\(758\) | 163.103 | 0.215175 | ||||||||
\(759\) | −216.451 | − | 363.416i | −0.285179 | − | 0.478809i | ||||
\(760\) | −227.477 | − | 606.880i | −0.299312 | − | 0.798526i | ||||
\(761\) | 274.957 | 0.361311 | 0.180655 | − | 0.983546i | \(-0.442178\pi\) | ||||
0.180655 | + | 0.983546i | \(0.442178\pi\) | |||||||
\(762\) | −140.195 | − | 235.385i | −0.183983 | − | 0.308904i | ||||
\(763\) | 1492.04i | 1.95549i | ||||||||
\(764\) | − | 122.358i | − | 0.160155i | ||||||
\(765\) | −250.308 | − | 34.7173i | −0.327200 | − | 0.0453821i | ||||
\(766\) | 80.1550 | 0.104641 | ||||||||
\(767\) | 497.517 | + | 1144.71i | 0.648653 | + | 1.49245i | ||||
\(768\) | −85.3505 | − | 143.302i | −0.111133 | − | 0.186591i | ||||
\(769\) | 1483.77i | 1.92948i | 0.263203 | + | 0.964741i | \(0.415221\pi\) | ||||
−0.263203 | + | 0.964741i | \(0.584779\pi\) | |||||||
\(770\) | 127.722 | − | 47.8741i | 0.165873 | − | 0.0621741i | ||||
\(771\) | 247.575 | + | 415.673i | 0.321108 | + | 0.539135i | ||||
\(772\) | 478.184 | 0.619409 | ||||||||
\(773\) | 622.090i | 0.804774i | 0.915470 | + | 0.402387i | \(0.131819\pi\) | ||||
−0.915470 | + | 0.402387i | \(0.868181\pi\) | |||||||
\(774\) | 73.4676 | − | 135.627i | 0.0949194 | − | 0.175228i | ||||
\(775\) | 407.776 | + | 467.524i | 0.526163 | + | 0.603257i | ||||
\(776\) | − | 541.184i | − | 0.697403i | ||||||
\(777\) | −574.388 | − | 964.386i | −0.739238 | − | 1.24117i | ||||
\(778\) | −316.453 | −0.406753 | ||||||||
\(779\) | − | 403.642i | − | 0.518153i | ||||||
\(780\) | −635.825 | − | 172.555i | −0.815161 | − | 0.221225i | ||||
\(781\) | −140.618 | −0.180049 | ||||||||
\(782\) | 189.244i | 0.242001i | ||||||||
\(783\) | −31.9430 | − | 783.693i | −0.0407956 | − | 1.00089i | ||||
\(784\) | 545.482 | 0.695768 | ||||||||
\(785\) | −460.655 | + | 172.668i | −0.586822 | + | 0.219959i | ||||
\(786\) | 114.905 | + | 192.923i | 0.146190 | + | 0.245449i | ||||
\(787\) | −688.266 | −0.874544 | −0.437272 | − | 0.899329i | \(-0.644055\pi\) | ||||
−0.437272 | + | 0.899329i | \(0.644055\pi\) | |||||||
\(788\) | 127.644i | 0.161985i | ||||||||
\(789\) | −231.593 | − | 388.840i | −0.293527 | − | 0.492826i | ||||
\(790\) | −225.638 | + | 84.5759i | −0.285618 | + | 0.107058i | ||||
\(791\) | −254.657 | −0.321943 | ||||||||
\(792\) | −151.815 | − | 82.2365i | −0.191685 | − | 0.103834i | ||||
\(793\) | 198.122 | + | 455.849i | 0.249839 | + | 0.574842i | ||||
\(794\) | − | 173.165i | − | 0.218092i | ||||||
\(795\) | −640.578 | + | 800.302i | −0.805758 | + | 1.00667i | ||||
\(796\) | 373.587 | 0.469331 | ||||||||
\(797\) | −277.330 | −0.347967 | −0.173984 | − | 0.984749i | \(-0.555664\pi\) | ||||
−0.173984 | + | 0.984749i | \(0.555664\pi\) | |||||||
\(798\) | 282.962 | + | 475.088i | 0.354589 | + | 0.595348i | ||||
\(799\) | − | 324.858i | − | 0.406581i | ||||||
\(800\) | 497.994 | + | 570.961i | 0.622492 | + | 0.713702i | ||||
\(801\) | −89.0524 | + | 164.397i | −0.111177 | + | 0.205240i | ||||
\(802\) | − | 343.315i | − | 0.428074i | ||||||
\(803\) | 263.095 | 0.327640 | ||||||||
\(804\) | −19.3512 | − | 32.4903i | −0.0240687 | − | 0.0404109i | ||||
\(805\) | −787.161 | − | 2100.05i | −0.977839 | − | 2.60875i | ||||
\(806\) | 101.364 | + | 233.224i | 0.125762 | + | 0.289360i | ||||
\(807\) | −179.859 | + | 107.124i | −0.222874 | + | 0.132744i | ||||
\(808\) | −614.704 | −0.760773 | ||||||||
\(809\) | 1069.05i | 1.32144i | 0.750631 | + | 0.660722i | \(0.229750\pi\) | ||||
−0.750631 | + | 0.660722i | \(0.770250\pi\) | |||||||
\(810\) | 257.168 | + | 189.188i | 0.317491 | + | 0.233566i | ||||
\(811\) | 123.734i | 0.152570i | 0.997086 | + | 0.0762849i | \(0.0243058\pi\) | ||||
−0.997086 | + | 0.0762849i | \(0.975694\pi\) | |||||||
\(812\) | 1029.80i | 1.26822i | ||||||||
\(813\) | −413.955 | + | 246.551i | −0.509169 | + | 0.303261i | ||||
\(814\) | − | 92.7157i | − | 0.113901i | ||||||
\(815\) | −319.231 | − | 851.668i | −0.391694 | − | 1.04499i | ||||
\(816\) | −76.9767 | − | 129.242i | −0.0943342 | − | 0.158385i | ||||
\(817\) | 484.506 | 0.593031 | ||||||||
\(818\) | −144.609 | −0.176783 | ||||||||
\(819\) | 1223.02 | + | 105.993i | 1.49331 | + | 0.129418i | ||||
\(820\) | 107.392 | + | 286.508i | 0.130966 | + | 0.349400i | ||||
\(821\) | 1011.50 | 1.23204 | 0.616019 | − | 0.787731i | \(-0.288745\pi\) | ||||
0.616019 | + | 0.787731i | \(0.288745\pi\) | |||||||
\(822\) | −250.870 | − | 421.205i | −0.305194 | − | 0.512415i | ||||
\(823\) | 134.463i | 0.163382i | 0.996658 | + | 0.0816908i | \(0.0260320\pi\) | ||||
−0.996658 | + | 0.0816908i | \(0.973968\pi\) | |||||||
\(824\) | −556.089 | −0.674865 | ||||||||
\(825\) | 235.089 | + | 76.9613i | 0.284956 | + | 0.0932865i | ||||
\(826\) | 794.126i | 0.961411i | ||||||||
\(827\) | 438.579i | 0.530325i | 0.964204 | + | 0.265162i | \(0.0854256\pi\) | ||||
−0.964204 | + | 0.265162i | \(0.914574\pi\) | |||||||
\(828\) | −619.141 | + | 1142.98i | −0.747755 | + | 1.38041i | ||||
\(829\) | −179.592 | −0.216636 | −0.108318 | − | 0.994116i | \(-0.534547\pi\) | ||||
−0.108318 | + | 0.994116i | \(0.534547\pi\) | |||||||
\(830\) | −48.2116 | − | 128.623i | −0.0580863 | − | 0.154967i | ||||
\(831\) | 470.144 | − | 280.018i | 0.565757 | − | 0.336965i | ||||
\(832\) | −61.2872 | − | 141.013i | −0.0736625 | − | 0.169486i | ||||
\(833\) | −343.059 | −0.411836 | ||||||||
\(834\) | 252.628 | − | 150.465i | 0.302911 | − | 0.180414i | ||||
\(835\) | −30.3154 | + | 11.3631i | −0.0363059 | + | 0.0136085i | ||||
\(836\) | − | 248.330i | − | 0.297046i | ||||||
\(837\) | 27.2863 | + | 669.445i | 0.0326001 | + | 0.799815i | ||||
\(838\) | −375.243 | −0.447784 | ||||||||
\(839\) | −258.511 | −0.308118 | −0.154059 | − | 0.988062i | \(-0.549235\pi\) | ||||
−0.154059 | + | 0.988062i | \(0.549235\pi\) | |||||||
\(840\) | −714.690 | − | 572.052i | −0.850822 | − | 0.681015i | ||||
\(841\) | −2.88959 | −0.00343590 | ||||||||
\(842\) | 269.422 | 0.319978 | ||||||||
\(843\) | −66.0225 | − | 110.851i | −0.0783186 | − | 0.131495i | ||||
\(844\) | −117.256 | −0.138929 | ||||||||
\(845\) | 780.843 | + | 322.971i | 0.924074 | + | 0.382214i | ||||
\(846\) | −195.482 | + | 360.875i | −0.231066 | + | 0.426566i | ||||
\(847\) | −1155.44 | −1.36415 | ||||||||
\(848\) | −610.218 | −0.719597 | ||||||||
\(849\) | −888.036 | + | 528.914i | −1.04598 | + | 0.622985i | ||||
\(850\) | −72.7446 | − | 83.4033i | −0.0855819 | − | 0.0981215i | ||||
\(851\) | −1524.46 | −1.79138 | ||||||||
\(852\) | 221.129 | + | 371.271i | 0.259541 | + | 0.435764i | ||||
\(853\) | −397.710 | −0.466249 | −0.233124 | − | 0.972447i | \(-0.574895\pi\) | ||||
−0.233124 | + | 0.972447i | \(0.574895\pi\) | |||||||
\(854\) | 316.238i | 0.370302i | ||||||||
\(855\) | −137.772 | + | 993.324i | −0.161137 | + | 1.16178i | ||||
\(856\) | 386.481i | 0.451496i | ||||||||
\(857\) | −1161.58 | −1.35540 | −0.677700 | − | 0.735339i | \(-0.737023\pi\) | ||||
−0.677700 | + | 0.735339i | \(0.737023\pi\) | |||||||
\(858\) | 82.3123 | + | 59.2153i | 0.0959351 | + | 0.0690155i | ||||
\(859\) | −805.574 | −0.937804 | −0.468902 | − | 0.883250i | \(-0.655350\pi\) | ||||
−0.468902 | + | 0.883250i | \(0.655350\pi\) | |||||||
\(860\) | −343.907 | + | 128.907i | −0.399892 | + | 0.149891i | ||||
\(861\) | −291.744 | − | 489.832i | −0.338843 | − | 0.568910i | ||||
\(862\) | − | 154.343i | − | 0.179052i | ||||||
\(863\) | − | 1359.34i | − | 1.57513i | −0.616232 | − | 0.787564i | \(-0.711342\pi\) | ||
0.616232 | − | 0.787564i | \(-0.288658\pi\) | |||||||
\(864\) | 33.3232 | + | 817.556i | 0.0385685 | + | 0.946245i | ||||
\(865\) | 69.7920 | + | 186.196i | 0.0806844 | + | 0.215256i | ||||
\(866\) | −236.985 | −0.273655 | ||||||||
\(867\) | −395.244 | − | 663.607i | −0.455875 | − | 0.765406i | ||||
\(868\) | − | 879.670i | − | 1.01345i | ||||||
\(869\) | −201.640 | −0.232037 | ||||||||
\(870\) | 214.650 | − | 268.172i | 0.246725 | − | 0.308244i | ||||
\(871\) | 19.3334 | + | 44.4833i | 0.0221968 | + | 0.0510716i | ||||
\(872\) | 827.123 | 0.948536 | ||||||||
\(873\) | −398.844 | + | 736.297i | −0.456867 | + | 0.843410i | ||||
\(874\) | 750.999 | 0.859267 | ||||||||
\(875\) | 1154.16 | + | 622.946i | 1.31904 | + | 0.711939i | ||||
\(876\) | −413.729 | − | 694.643i | −0.472294 | − | 0.792972i | ||||
\(877\) | −468.561 | −0.534278 | −0.267139 | − | 0.963658i | \(-0.586078\pi\) | ||||
−0.267139 | + | 0.963658i | \(0.586078\pi\) | |||||||
\(878\) | 120.393i | 0.137122i | ||||||||
\(879\) | 511.627 | − | 304.725i | 0.582056 | − | 0.346673i | ||||
\(880\) | 51.6829 | + | 137.884i | 0.0587306 | + | 0.156686i | ||||
\(881\) | 557.408i | 0.632700i | 0.948643 | + | 0.316350i | \(0.102457\pi\) | ||||
−0.948643 | + | 0.316350i | \(0.897543\pi\) | |||||||
\(882\) | 381.093 | + | 206.434i | 0.432079 | + | 0.234053i | ||||
\(883\) | − | 262.535i | − | 0.297322i | −0.988888 | − | 0.148661i | \(-0.952504\pi\) | ||
0.988888 | − | 0.148661i | \(-0.0474963\pi\) | |||||||
\(884\) | 98.3145 | + | 226.207i | 0.111215 | + | 0.255890i | ||||
\(885\) | −899.960 | + | 1124.36i | −1.01690 | + | 1.27046i | ||||
\(886\) | − | 442.441i | − | 0.499369i | ||||||
\(887\) | −644.890 | −0.727046 | −0.363523 | − | 0.931585i | \(-0.618426\pi\) | ||||
−0.363523 | + | 0.931585i | \(0.618426\pi\) | |||||||
\(888\) | −534.615 | + | 318.417i | −0.602044 | + | 0.358577i | ||||
\(889\) | − | 1215.54i | − | 1.36731i | ||||||
\(890\) | −76.6720 | + | 28.7390i | −0.0861484 | + | 0.0322910i | ||||
\(891\) | 145.941 | + | 223.770i | 0.163795 | + | 0.251145i | ||||
\(892\) | −1204.54 | −1.35038 | ||||||||
\(893\) | −1289.17 | −1.44364 | ||||||||
\(894\) | 497.892 | − | 296.544i | 0.556926 | − | 0.331705i | ||||
\(895\) | 1437.17 | − | 538.695i | 1.60578 | − | 0.601894i | ||||
\(896\) | − | 1369.71i | − | 1.52869i | ||||||
\(897\) | 973.637 | − | 1353.41i | 1.08544 | − | 1.50881i | ||||
\(898\) | 212.158i | 0.236256i | ||||||||
\(899\) | 720.866 | 0.801853 | ||||||||
\(900\) | −166.490 | − | 741.726i | −0.184988 | − | 0.824140i | ||||
\(901\) | 383.772 | 0.425940 | ||||||||
\(902\) | − | 47.0922i | − | 0.0522086i | ||||||
\(903\) | 587.963 | − | 350.191i | 0.651122 | − | 0.387808i | ||||
\(904\) | 141.171i | 0.156163i | ||||||||
\(905\) | −109.405 | − | 291.879i | −0.120890 | − | 0.322518i | ||||
\(906\) | 231.058 | + | 387.942i | 0.255031 | + | 0.428192i | ||||
\(907\) | − | 1076.51i | − | 1.18689i | −0.804873 | − | 0.593447i | \(-0.797767\pi\) | ||
0.804873 | − | 0.593447i | \(-0.202233\pi\) | |||||||
\(908\) | 797.511i | 0.878316i | ||||||||
\(909\) | 836.322 | + | 453.027i | 0.920047 | + | 0.498380i | ||||
\(910\) | 373.723 | + | 386.484i | 0.410685 | + | 0.424707i | ||||
\(911\) | − | 479.606i | − | 0.526461i | −0.964733 | − | 0.263231i | \(-0.915212\pi\) | ||
0.964733 | − | 0.263231i | \(-0.0847880\pi\) | |||||||
\(912\) | −512.886 | + | 305.475i | −0.562375 | + | 0.334951i | ||||
\(913\) | − | 114.943i | − | 0.125896i | ||||||
\(914\) | − | 307.944i | − | 0.336919i | ||||||
\(915\) | −358.384 | + | 447.745i | −0.391676 | + | 0.489338i | ||||
\(916\) | − | 468.664i | − | 0.511642i | ||||||
\(917\) | 996.262i | 1.08644i | ||||||||
\(918\) | −4.86769 | − | 119.425i | −0.00530250 | − | 0.130092i | ||||
\(919\) | −1234.15 | −1.34292 | −0.671462 | − | 0.741039i | \(-0.734333\pi\) | ||||
−0.671462 | + | 0.741039i | \(0.734333\pi\) | |||||||
\(920\) | −1164.18 | + | 436.369i | −1.26541 | + | 0.474314i | ||||
\(921\) | 118.808 | + | 199.476i | 0.128999 | + | 0.216586i | ||||
\(922\) | 521.857i | 0.566006i | ||||||||
\(923\) | −220.925 | − | 508.316i | −0.239356 | − | 0.550722i | ||||
\(924\) | −179.488 | − | 301.356i | −0.194251 | − | 0.326143i | ||||
\(925\) | 671.857 | − | 585.995i | 0.726331 | − | 0.633508i | ||||
\(926\) | 528.961i | 0.571232i | ||||||||
\(927\) | 756.575 | + | 409.829i | 0.816154 | + | 0.442102i | ||||
\(928\) | 880.353 | 0.948656 | ||||||||
\(929\) | −433.497 | −0.466627 | −0.233314 | − | 0.972402i | \(-0.574957\pi\) | ||||
−0.233314 | + | 0.972402i | \(0.574957\pi\) | |||||||
\(930\) | −183.358 | + | 229.078i | −0.197159 | + | 0.246320i | ||||
\(931\) | 1361.40i | 1.46230i | ||||||||
\(932\) | 990.456 | 1.06272 | ||||||||
\(933\) | 608.156 | − | 362.217i | 0.651828 | − | 0.388229i | ||||
\(934\) | 480.042i | 0.513963i | ||||||||
\(935\) | −32.5039 | − | 86.7164i | −0.0347635 | − | 0.0927448i | ||||
\(936\) | 58.7581 | − | 677.993i | 0.0627758 | − | 0.724351i | ||||
\(937\) | 1368.68i | 1.46070i | 0.683071 | + | 0.730352i | \(0.260644\pi\) | ||||
−0.683071 | + | 0.730352i | \(0.739356\pi\) | |||||||
\(938\) | 30.8596i | 0.0328994i | ||||||||
\(939\) | −1157.56 | + | 689.444i | −1.23276 | + | 0.734232i | ||||
\(940\) | 915.065 | − | 342.994i | 0.973473 | − | 0.364887i | ||||
\(941\) | −151.925 | −0.161450 | −0.0807252 | − | 0.996736i | \(-0.525724\pi\) | ||||
−0.0807252 | + | 0.996736i | \(0.525724\pi\) | |||||||
\(942\) | −119.067 | − | 199.911i | −0.126398 | − | 0.212220i | ||||
\(943\) | −774.305 | −0.821108 | ||||||||
\(944\) | −857.307 | −0.908164 | ||||||||
\(945\) | 550.763 | + | 1305.01i | 0.582818 | + | 1.38096i | ||||
\(946\) | 56.5265 | 0.0597532 | ||||||||
\(947\) | − | 1799.36i | − | 1.90006i | −0.312161 | − | 0.950029i | \(-0.601053\pi\) | ||
0.312161 | − | 0.950029i | \(-0.398947\pi\) | |||||||
\(948\) | 317.089 | + | 532.386i | 0.334482 | + | 0.561589i | ||||
\(949\) | 413.349 | + | 951.054i | 0.435562 | + | 1.00216i | ||||
\(950\) | −330.978 | + | 288.680i | −0.348398 | + | 0.303874i | ||||
\(951\) | 935.861 | − | 557.398i | 0.984081 | − | 0.586118i | ||||
\(952\) | 342.718i | 0.359998i | ||||||||
\(953\) | 829.668 | 0.870586 | 0.435293 | − | 0.900289i | \(-0.356645\pi\) | ||||
0.435293 | + | 0.900289i | \(0.356645\pi\) | |||||||
\(954\) | −426.320 | − | 230.933i | −0.446876 | − | 0.242068i | ||||
\(955\) | −169.559 | + | 63.5559i | −0.177549 | + | 0.0665506i | ||||
\(956\) | 1403.78 | 1.46839 | ||||||||
\(957\) | 246.953 | − | 147.085i | 0.258049 | − | 0.153694i | ||||
\(958\) | 544.580i | 0.568455i | ||||||||
\(959\) | − | 2175.12i | − | 2.26811i | ||||||
\(960\) | 110.863 | − | 138.506i | 0.115482 | − | 0.144277i | ||||
\(961\) | 345.224 | 0.359234 | ||||||||
\(962\) | 335.155 | − | 145.666i | 0.348394 | − | 0.151420i | ||||
\(963\) | 284.830 | − | 525.818i | 0.295774 | − | 0.546021i | ||||
\(964\) | − | 1309.92i | − | 1.35884i | ||||||
\(965\) | −248.380 | − | 662.648i | −0.257389 | − | 0.686681i | ||||
\(966\) | 911.361 | − | 542.806i | 0.943438 | − | 0.561911i | ||||
\(967\) | 1118.92 | 1.15711 | 0.578553 | − | 0.815645i | \(-0.303618\pi\) | ||||
0.578553 | + | 0.815645i | \(0.303618\pi\) | |||||||
\(968\) | 640.527i | 0.661701i | ||||||||
\(969\) | 322.559 | − | 192.116i | 0.332878 | − | 0.198262i | ||||
\(970\) | −343.396 | + | 128.715i | −0.354016 | + | 0.132696i | ||||
\(971\) | 15.5851i | 0.0160506i | 0.999968 | + | 0.00802530i | \(0.00255456\pi\) | ||||
−0.999968 | + | 0.00802530i | \(0.997445\pi\) | |||||||
\(972\) | 361.316 | − | 737.215i | 0.371724 | − | 0.758451i | ||||
\(973\) | 1304.58 | 1.34078 | ||||||||
\(974\) | − | 97.7746i | − | 0.100385i | ||||||
\(975\) | 91.1433 | + | 970.731i | 0.0934803 | + | 0.995621i | ||||
\(976\) | −341.398 | −0.349793 | ||||||||
\(977\) | − | 1.78329i | − | 0.00182527i | −1.00000 | 0.000912635i | \(-0.999709\pi\) | |||
1.00000 | 0.000912635i | \(-0.000290501\pi\) | ||||||||
\(978\) | 369.600 | − | 220.134i | 0.377914 | − | 0.225086i | ||||
\(979\) | −68.5175 | −0.0699873 | ||||||||
\(980\) | −362.211 | − | 966.333i | −0.369603 | − | 0.986054i | ||||
\(981\) | −1125.32 | − | 609.577i | −1.14712 | − | 0.621383i | ||||
\(982\) | −409.015 | −0.416513 | ||||||||
\(983\) | 725.440i | 0.737986i | 0.929432 | + | 0.368993i | \(0.120297\pi\) | ||||
−0.929432 | + | 0.368993i | \(0.879703\pi\) | |||||||
\(984\) | −271.542 | + | 161.730i | −0.275957 | + | 0.164360i | ||||
\(985\) | 176.884 | − | 66.3014i | 0.179577 | − | 0.0673110i | ||||
\(986\) | −128.598 | −0.130424 | ||||||||
\(987\) | −1564.45 | + | 931.785i | −1.58505 | + | 0.944058i | ||||
\(988\) | 897.682 | − | 390.152i | 0.908585 | − | 0.394891i | ||||
\(989\) | − | 929.427i | − | 0.939765i | ||||||
\(990\) | −16.0737 | + | 115.890i | −0.0162360 | + | 0.117060i | ||||
\(991\) | 498.352 | 0.502878 | 0.251439 | − | 0.967873i | \(-0.419096\pi\) | ||||
0.251439 | + | 0.967873i | \(0.419096\pi\) | |||||||
\(992\) | −752.013 | −0.758078 | ||||||||
\(993\) | −0.677313 | + | 0.403408i | −0.000682088 | + | 0.000406251i | ||||
\(994\) | − | 352.636i | − | 0.354765i | ||||||
\(995\) | −194.050 | − | 517.702i | −0.195025 | − | 0.520304i | ||||
\(996\) | −303.481 | + | 180.753i | −0.304700 | + | 0.181479i | ||||
\(997\) | − | 1020.89i | − | 1.02396i | −0.858997 | − | 0.511981i | \(-0.828912\pi\) | ||
0.858997 | − | 0.511981i | \(-0.171088\pi\) | |||||||
\(998\) | −482.490 | −0.483457 | ||||||||
\(999\) | 962.027 | − | 39.2118i | 0.962990 | − | 0.0392510i |
(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 | 195.3.e.f.194.20 | yes | 40 | |
3.2 | odd | 2 | inner | 195.3.e.f.194.22 | yes | 40 | |
5.4 | even | 2 | inner | 195.3.e.f.194.21 | yes | 40 | |
13.12 | even | 2 | inner | 195.3.e.f.194.24 | yes | 40 | |
15.14 | odd | 2 | inner | 195.3.e.f.194.19 | yes | 40 | |
39.38 | odd | 2 | inner | 195.3.e.f.194.18 | yes | 40 | |
65.64 | even | 2 | inner | 195.3.e.f.194.17 | ✓ | 40 | |
195.194 | odd | 2 | inner | 195.3.e.f.194.23 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
195.3.e.f.194.17 | ✓ | 40 | 65.64 | even | 2 | inner | |
195.3.e.f.194.18 | yes | 40 | 39.38 | odd | 2 | inner | |
195.3.e.f.194.19 | yes | 40 | 15.14 | odd | 2 | inner | |
195.3.e.f.194.20 | yes | 40 | 1.1 | even | 1 | trivial | |
195.3.e.f.194.21 | yes | 40 | 5.4 | even | 2 | inner | |
195.3.e.f.194.22 | yes | 40 | 3.2 | odd | 2 | inner | |
195.3.e.f.194.23 | yes | 40 | 195.194 | odd | 2 | inner | |
195.3.e.f.194.24 | yes | 40 | 13.12 | even | 2 | inner |